%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GRP374-1 : 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 : n006.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Apr 30 12:04:55 EDT 2024

% Result   : Unsatisfiable 0.21s 0.50s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
fof(f3819,plain,
    $false,
    inference(avatar_sat_refutation,[],[f50,f353,f431,f1248,f1401,f1497,f1499,f1504,f2470,f2815,f3011,f3023,f3026,f3028,f3030,f3032,f3034,f3036,f3038,f3040,f3042,f3044,f3046,f3048,f3050,f3052,f3054,f3056,f3058,f3060,f3062,f3064,f3066,f3068,f3070,f3072,f3242,f3246,f3248,f3281,f3286,f3291,f3295,f3299,f3301,f3303,f3305,f3315,f3321,f3327,f3387,f3389,f3391,f3394,f3396,f3398,f3400,f3402,f3405,f3407,f3410,f3618,f3806,f3808,f3817]) ).

fof(f3817,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3816]) ).

fof(f3816,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | spl0_8 ),
    inference(subsumption_resolution,[],[f3815,f1399]) ).

fof(f1399,plain,
    ( identity != sk_c6
    | spl0_8 ),
    inference(avatar_component_clause,[],[f1398]) ).

fof(f1398,plain,
    ( spl0_8
  <=> identity = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f3815,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f3803,f2]) ).

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

fof(f3803,plain,
    ( sk_c6 = multiply(inverse(identity),identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | spl0_8 ),
    inference(superposition,[],[f67,f3767]) ).

fof(f3767,plain,
    ( identity = multiply(identity,sk_c6)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f3766,f1448]) ).

fof(f1448,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f1447,f1407]) ).

fof(f1407,plain,
    ( identity = multiply(sk_c2,sk_c6)
    | ~ spl0_7 ),
    inference(superposition,[],[f774,f1396]) ).

fof(f1396,plain,
    ( sk_c6 = inverse(sk_c2)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f1394]) ).

fof(f1394,plain,
    ( spl0_7
  <=> sk_c6 = inverse(sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f774,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f257,f2]) ).

fof(f257,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
    inference(superposition,[],[f67,f67]) ).

fof(f1447,plain,
    ( sk_c7 = multiply(sk_c2,sk_c6)
    | ~ spl0_1
    | spl0_8 ),
    inference(subsumption_resolution,[],[f1277,f1399]) ).

fof(f1277,plain,
    ( identity = sk_c6
    | sk_c7 = multiply(sk_c2,sk_c6)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f28,f461]) ).

fof(f461,plain,
    ( identity = multiply(sk_c8,sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f390,f2]) ).

fof(f390,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(sk_c7),X0)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f389,f1]) ).

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

fof(f389,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(sk_c7),multiply(identity,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f381]) ).

fof(f381,plain,
    ( sk_c8 = multiply(inverse(sk_c7),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f67,f380]) ).

fof(f380,plain,
    ( identity = multiply(sk_c7,sk_c8)
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f45]) ).

fof(f45,plain,
    ( inverse(sk_c8) = sk_c7
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f43]) ).

fof(f43,plain,
    ( spl0_1
  <=> inverse(sk_c8) = sk_c7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

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

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

fof(f3766,plain,
    ( sk_c7 = multiply(identity,sk_c6)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f3622,f3644]) ).

fof(f3644,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f3639,f2]) ).

fof(f3639,plain,
    ( sk_c8 = multiply(inverse(identity),identity)
    | ~ spl0_1
    | ~ spl0_7
    | spl0_8 ),
    inference(superposition,[],[f381,f1448]) ).

fof(f3622,plain,
    ( sk_c7 = multiply(sk_c8,sk_c6)
    | spl0_2 ),
    inference(global_subsumption,[],[f36,f30,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f10,f35,f34,f16,f8,f7,f5,f4,f9,f243,f420,f21,f244,f705,f695,f748,f766,f257,f782,f783,f787,f788,f777,f845,f813,f860,f799,f877,f878,f774,f934,f911,f778,f986,f999,f897,f1033,f1070,f1202,f1238,f1241,f1065,f1053,f1158,f1236,f1584,f1598,f1615,f1723,f1628,f1631,f1673,f1732,f1746,f1769,f1770,f1771,f1772,f1760,f1866,f1869,f1870,f1871,f1872,f1240,f1933,f1942,f1956,f1957,f1958,f1959,f1961,f1962,f1677,f2064,f2077,f2078,f2095,f2099,f2101,f1998,f2179,f2185,f2189,f2191,f1627,f2229,f2238,f2255,f2268,f2276,f1630,f2411,f2389,f2395,f2461,f2463,f2400,f2464,f2465,f2467,f2468,f2406,f2407,f2408,f2471,f2481,f2057,f1259,f2503,f2505,f2506,f1919,f1874,f1868,f2517,f1733,f1618,f1611,f1600,f2537,f2543,f2544,f1026,f15,f2509,f2493,f2448,f2440,f2374,f2351,f2348,f2338,f2334,f2331,f2325,f2116,f1774,f1632,f1209,f39,f25,f27,f33,f32,f1208,f1195,f1194,f1271,f1270,f898,f891,f817,f816,f803,f802,f750,f747,f18,f11,f17,f19,f20,f13,f14,f12,f48,f3437,f3432,f3431,f3412,f37,f38,f31,f3621,f26]) ).

fof(f26,axiom,
    ( sk_c5 = multiply(sk_c4,sk_c8)
    | sk_c7 = multiply(sk_c8,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).

fof(f3621,plain,
    ( sk_c7 = multiply(sk_c2,sk_c6)
    | spl0_2 ),
    inference(global_subsumption,[],[f36,f30,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f10,f35,f34,f16,f8,f7,f5,f4,f9,f243,f420,f21,f244,f705,f695,f748,f766,f257,f782,f783,f787,f788,f777,f845,f813,f860,f799,f877,f878,f774,f934,f911,f778,f986,f999,f897,f1033,f1070,f1202,f1238,f1241,f1065,f1053,f1158,f1236,f1584,f1598,f1615,f1723,f1628,f1631,f1673,f1732,f1746,f1769,f1770,f1771,f1772,f1760,f1866,f1869,f1870,f1871,f1872,f1240,f1933,f1942,f1956,f1957,f1958,f1959,f1961,f1962,f1677,f2064,f2077,f2078,f2095,f2099,f2101,f1998,f2179,f2185,f2189,f2191,f1627,f2229,f2238,f2255,f2268,f2276,f1630,f2411,f2389,f2395,f2461,f2463,f2400,f2464,f2465,f2467,f2468,f2406,f2407,f2408,f2471,f2481,f2057,f1259,f2503,f2505,f2506,f1919,f1874,f1868,f2517,f1733,f1618,f1611,f1600,f2537,f2543,f2544,f1026,f15,f2509,f2493,f2448,f2440,f2374,f2351,f2348,f2338,f2334,f2331,f2325,f2116,f1774,f1632,f1209,f39,f26,f25,f27,f33,f32,f1208,f1195,f1194,f1271,f1270,f898,f891,f817,f816,f803,f802,f750,f747,f18,f11,f17,f19,f20,f13,f14,f12,f48,f3437,f3432,f3431,f3412,f37,f38,f31]) ).

fof(f31,axiom,
    ( sk_c7 = multiply(sk_c2,sk_c6)
    | sk_c7 = multiply(sk_c8,sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).

fof(f38,axiom,
    ( sk_c6 = inverse(sk_c2)
    | sk_c5 = multiply(sk_c4,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).

fof(f37,axiom,
    ( sk_c6 = inverse(sk_c2)
    | sk_c7 = multiply(sk_c8,sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).

fof(f3412,plain,
    ( sk_c7 = multiply(sk_c1,sk_c8)
    | spl0_2 ),
    inference(global_subsumption,[],[f36,f30,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f10,f35,f34,f16,f8,f7,f5,f4,f9,f243,f420,f21,f244,f705,f695,f748,f766,f257,f782,f783,f787,f788,f777,f845,f813,f860,f799,f877,f878,f774,f934,f911,f778,f986,f999,f897,f1033,f1070,f1202,f1238,f1241,f1065,f1053,f1158,f1236,f1584,f1598,f1615,f1723,f1628,f1631,f1673,f1732,f1746,f1769,f1770,f1771,f1772,f1760,f1866,f1869,f1870,f1871,f1872,f1240,f1933,f1942,f1956,f1957,f1958,f1959,f1961,f1962,f1677,f2064,f2077,f2078,f2095,f2099,f2101,f1998,f2179,f2185,f2189,f2191,f1627,f2229,f2238,f2255,f2268,f2276,f1630,f2411,f2389,f2395,f2461,f2463,f2400,f2464,f2465,f2467,f2468,f2406,f2407,f2408,f2471,f2481,f2057,f1259,f2503,f2505,f2506,f1919,f1874,f1868,f2517,f1733,f1618,f1611,f1600,f2537,f2543,f2544,f1026,f15,f14,f13,f2509,f2493,f2448,f2440,f2374,f2351,f2348,f2338,f2334,f20,f2331,f2325,f2116,f1774,f1632,f19,f1209,f39,f37,f38,f31,f26,f25,f27,f33,f32,f1208,f1195,f1194,f1271,f1270,f898,f891,f817,f816,f803,f802,f750,f747,f17,f12,f18,f48,f11]) ).

fof(f3431,plain,
    ( sk_c7 = multiply(sk_c1,sk_c8)
    | spl0_2 ),
    inference(global_subsumption,[],[f36,f30,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f10,f35,f34,f16,f8,f7,f5,f4,f9,f243,f420,f21,f244,f705,f695,f748,f766,f257,f782,f783,f787,f788,f777,f845,f813,f860,f799,f877,f878,f774,f934,f911,f778,f986,f999,f897,f1033,f1070,f1202,f1238,f1241,f1065,f1053,f1158,f1236,f1584,f1598,f1615,f1723,f1628,f1631,f1673,f1732,f1746,f1769,f1770,f1771,f1772,f1760,f1866,f1869,f1870,f1871,f1872,f1240,f1933,f1942,f1956,f1957,f1958,f1959,f1961,f1962,f1677,f2064,f2077,f2078,f2095,f2099,f2101,f1998,f2179,f2185,f2189,f2191,f1627,f2229,f2238,f2255,f2268,f2276,f1630,f2411,f2389,f2395,f2461,f2463,f2400,f2464,f2465,f2467,f2468,f2406,f2407,f2408,f2471,f2481,f2057,f1259,f2503,f2505,f2506,f1919,f1874,f1868,f2517,f1733,f1618,f1611,f1600,f2537,f2543,f2544,f1026,f15,f14,f2509,f2493,f2448,f2440,f2374,f2351,f2348,f2338,f2334,f2331,f2325,f2116,f1774,f1632,f1209,f39,f37,f38,f31,f26,f25,f27,f33,f32,f1208,f1195,f1194,f1271,f1270,f898,f891,f817,f816,f803,f802,f750,f747,f12,f18,f48,f11,f3412,f17,f19,f20,f13]) ).

fof(f3432,plain,
    ( sk_c7 = multiply(sk_c1,sk_c8)
    | spl0_2 ),
    inference(global_subsumption,[],[f36,f30,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f10,f35,f34,f16,f8,f7,f5,f4,f9,f243,f420,f21,f244,f705,f695,f748,f766,f257,f782,f783,f787,f788,f777,f845,f813,f860,f799,f877,f878,f774,f934,f911,f778,f986,f999,f897,f1033,f1070,f1202,f1238,f1241,f1065,f1053,f1158,f1236,f1584,f1598,f1615,f1723,f1628,f1631,f1673,f1732,f1746,f1769,f1770,f1771,f1772,f1760,f1866,f1869,f1870,f1871,f1872,f1240,f1933,f1942,f1956,f1957,f1958,f1959,f1961,f1962,f1677,f2064,f2077,f2078,f2095,f2099,f2101,f1998,f2179,f2185,f2189,f2191,f1627,f2229,f2238,f2255,f2268,f2276,f1630,f2411,f2389,f2395,f2461,f2463,f2400,f2464,f2465,f2467,f2468,f2406,f2407,f2408,f2471,f2481,f2057,f1259,f2503,f2505,f2506,f1919,f1874,f1868,f2517,f1733,f1618,f1611,f1600,f2537,f2543,f2544,f1026,f15,f2509,f2493,f2448,f2440,f2374,f2351,f2348,f2338,f2334,f2331,f2325,f2116,f1774,f1632,f1209,f39,f37,f38,f31,f26,f25,f27,f33,f32,f1208,f1195,f1194,f1271,f1270,f898,f891,f817,f816,f803,f802,f750,f747,f12,f18,f48,f11,f3412,f17,f19,f20,f13,f3431,f14]) ).

fof(f3437,plain,
    ( sk_c7 = multiply(sk_c1,sk_c8)
    | spl0_2 ),
    inference(global_subsumption,[],[f36,f30,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f10,f35,f34,f16,f8,f7,f5,f4,f9,f243,f420,f21,f244,f705,f695,f748,f766,f257,f782,f783,f787,f788,f777,f845,f813,f860,f799,f877,f878,f774,f934,f911,f778,f986,f999,f897,f1033,f1070,f1202,f1238,f1241,f1065,f1053,f1158,f1236,f1584,f1598,f1615,f1723,f1628,f1631,f1673,f1732,f1746,f1769,f1770,f1771,f1772,f1760,f1866,f1869,f1870,f1871,f1872,f1240,f1933,f1942,f1956,f1957,f1958,f1959,f1961,f1962,f1677,f2064,f2077,f2078,f2095,f2099,f2101,f1998,f2179,f2185,f2189,f2191,f1627,f2229,f2238,f2255,f2268,f2276,f1630,f2411,f2389,f2395,f2461,f2463,f2400,f2464,f2465,f2467,f2468,f2406,f2407,f2408,f2471,f2481,f2057,f1259,f2503,f2505,f2506,f1919,f1874,f1868,f2517,f1733,f1618,f1611,f1600,f2537,f2543,f2544,f1026,f15,f2509,f2493,f2448,f2440,f2374,f2351,f2348,f2338,f2334,f2331,f2325,f2116,f1774,f1632,f1209,f39,f37,f38,f31,f26,f25,f27,f33,f32,f1208,f1195,f1194,f1271,f1270,f898,f891,f817,f816,f803,f802,f750,f747,f18,f48,f11,f3412,f17,f19,f20,f13,f3431,f14,f3432,f12]) ).

fof(f48,plain,
    ( sk_c8 != inverse(sk_c3)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f47]) ).

fof(f47,plain,
    ( spl0_2
  <=> sk_c8 = inverse(sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f12,axiom,
    ( sk_c8 = inverse(sk_c3)
    | sk_c7 = multiply(sk_c1,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).

fof(f14,axiom,
    ( sk_c5 = multiply(sk_c4,sk_c8)
    | sk_c7 = multiply(sk_c1,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).

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

fof(f20,axiom,
    ( sk_c8 = inverse(sk_c1)
    | sk_c5 = multiply(sk_c4,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).

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

fof(f17,axiom,
    ( sk_c8 = inverse(sk_c1)
    | sk_c7 = multiply(sk_c3,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).

fof(f11,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c8)
    | sk_c7 = multiply(sk_c1,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).

fof(f18,axiom,
    ( sk_c8 = inverse(sk_c3)
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).

fof(f747,plain,
    identity = inverse(identity),
    inference(superposition,[],[f695,f244]) ).

fof(f750,plain,
    identity = inverse(identity),
    inference(superposition,[],[f244,f695]) ).

fof(f802,plain,
    identity = inverse(identity),
    inference(superposition,[],[f777,f2]) ).

fof(f803,plain,
    identity = inverse(identity),
    inference(superposition,[],[f777,f243]) ).

fof(f816,plain,
    identity = inverse(identity),
    inference(superposition,[],[f2,f777]) ).

fof(f817,plain,
    identity = inverse(identity),
    inference(superposition,[],[f243,f777]) ).

fof(f891,plain,
    identity = inverse(identity),
    inference(superposition,[],[f774,f1]) ).

fof(f898,plain,
    identity = inverse(identity),
    inference(superposition,[],[f1,f774]) ).

fof(f1270,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f818,f799]) ).

fof(f818,plain,
    identity = inverse(inverse(inverse(identity))),
    inference(superposition,[],[f695,f777]) ).

fof(f1271,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f804,f799]) ).

fof(f804,plain,
    identity = inverse(inverse(inverse(identity))),
    inference(superposition,[],[f777,f695]) ).

fof(f1194,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f1076,f2]) ).

fof(f1076,plain,
    ! [X0] : identity = inverse(multiply(inverse(X0),X0)),
    inference(superposition,[],[f897,f67]) ).

fof(f1195,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f1077,f774]) ).

fof(f1077,plain,
    ! [X0] : identity = inverse(multiply(X0,inverse(X0))),
    inference(superposition,[],[f897,f778]) ).

fof(f1208,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f1090,f2]) ).

fof(f1090,plain,
    ! [X0] : identity = inverse(multiply(inverse(X0),X0)),
    inference(superposition,[],[f67,f897]) ).

fof(f32,axiom,
    ( sk_c5 = multiply(sk_c4,sk_c8)
    | sk_c7 = multiply(sk_c2,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).

fof(f33,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c7 = multiply(sk_c2,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).

fof(f27,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c7 = multiply(sk_c8,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).

fof(f25,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c5)
    | sk_c7 = multiply(sk_c8,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).

fof(f39,axiom,
    ( sk_c6 = inverse(sk_c2)
    | sk_c8 = inverse(sk_c4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).

fof(f1209,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f1091,f774]) ).

fof(f1091,plain,
    ! [X0] : identity = inverse(multiply(X0,inverse(X0))),
    inference(superposition,[],[f778,f897]) ).

fof(f1632,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f1577,f774]) ).

fof(f1577,plain,
    ! [X0] : inverse(identity) = multiply(X0,inverse(X0)),
    inference(superposition,[],[f1236,f1]) ).

fof(f1774,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f1727,f774]) ).

fof(f1727,plain,
    ! [X0] : inverse(identity) = multiply(X0,inverse(X0)),
    inference(superposition,[],[f1673,f243]) ).

fof(f2116,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f2068,f774]) ).

fof(f2068,plain,
    ! [X0] : inverse(identity) = multiply(inverse(X0),inverse(inverse(X0))),
    inference(superposition,[],[f1677,f244]) ).

fof(f2325,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f2246,f2]) ).

fof(f2246,plain,
    ! [X0] : identity = inverse(multiply(inverse(X0),X0)),
    inference(superposition,[],[f1627,f774]) ).

fof(f2331,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f2249,f774]) ).

fof(f2249,plain,
    ! [X0] : identity = inverse(multiply(X0,inverse(X0))),
    inference(superposition,[],[f1627,f2]) ).

fof(f2334,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f2333,f774]) ).

fof(f2333,plain,
    ! [X0] : identity = inverse(multiply(X0,inverse(X0))),
    inference(forward_demodulation,[],[f2253,f799]) ).

fof(f2253,plain,
    ! [X0] : identity = inverse(multiply(X0,inverse(inverse(inverse(X0))))),
    inference(superposition,[],[f1627,f695]) ).

fof(f2338,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f2256,f2]) ).

fof(f2256,plain,
    ! [X0] : identity = inverse(multiply(inverse(X0),X0)),
    inference(superposition,[],[f774,f1627]) ).

fof(f2348,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f2262,f774]) ).

fof(f2262,plain,
    ! [X0] : identity = inverse(multiply(X0,inverse(X0))),
    inference(superposition,[],[f2,f1627]) ).

fof(f2351,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f2350,f774]) ).

fof(f2350,plain,
    ! [X0] : identity = inverse(multiply(X0,inverse(X0))),
    inference(forward_demodulation,[],[f2266,f799]) ).

fof(f2266,plain,
    ! [X0] : identity = inverse(multiply(X0,inverse(inverse(inverse(X0))))),
    inference(superposition,[],[f695,f1627]) ).

fof(f2374,plain,
    identity = inverse(identity),
    inference(superposition,[],[f1630,f774]) ).

fof(f2440,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f2439,f774]) ).

fof(f2439,plain,
    ! [X0] : inverse(identity) = multiply(X0,inverse(X0)),
    inference(forward_demodulation,[],[f2380,f799]) ).

fof(f2380,plain,
    ! [X0] : inverse(identity) = multiply(X0,inverse(inverse(inverse(X0)))),
    inference(superposition,[],[f1630,f2]) ).

fof(f2448,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f2447,f774]) ).

fof(f2447,plain,
    ! [X0] : inverse(identity) = multiply(X0,inverse(X0)),
    inference(forward_demodulation,[],[f2446,f799]) ).

fof(f2446,plain,
    ! [X0] : inverse(identity) = multiply(X0,inverse(inverse(inverse(X0)))),
    inference(forward_demodulation,[],[f2384,f799]) ).

fof(f2384,plain,
    ! [X0] : inverse(identity) = multiply(X0,inverse(inverse(inverse(inverse(inverse(X0)))))),
    inference(superposition,[],[f1630,f695]) ).

fof(f2493,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f2065,f2]) ).

fof(f2065,plain,
    ! [X0] : multiply(inverse(X0),X0) = inverse(identity),
    inference(superposition,[],[f1677,f777]) ).

fof(f2509,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f1860,f2]) ).

fof(f1860,plain,
    ! [X0] : multiply(inverse(X0),X0) = inverse(identity),
    inference(superposition,[],[f1760,f243]) ).

fof(f15,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c7 = multiply(sk_c1,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).

fof(f1026,plain,
    ! [X0] : identity = multiply(inverse(X0),multiply(X0,inverse(identity))),
    inference(superposition,[],[f897,f2]) ).

fof(f2544,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(forward_demodulation,[],[f1578,f799]) ).

fof(f1578,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,inverse(identity)),
    inference(superposition,[],[f1236,f2]) ).

fof(f2543,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(forward_demodulation,[],[f2542,f799]) ).

fof(f2542,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,inverse(identity)),
    inference(forward_demodulation,[],[f1580,f799]) ).

fof(f1580,plain,
    ! [X0] : inverse(inverse(inverse(inverse(X0)))) = multiply(X0,inverse(identity)),
    inference(superposition,[],[f1236,f695]) ).

fof(f2537,plain,
    ! [X0] : inverse(X0) = multiply(inverse(X0),inverse(identity)),
    inference(forward_demodulation,[],[f1599,f1236]) ).

fof(f1599,plain,
    ! [X0,X1] : inverse(X0) = multiply(multiply(X1,inverse(multiply(X0,X1))),inverse(identity)),
    inference(superposition,[],[f1236,f897]) ).

fof(f1600,plain,
    ! [X0] : inverse(X0) = multiply(inverse(X0),inverse(identity)),
    inference(superposition,[],[f1236,f774]) ).

fof(f1611,plain,
    ! [X0] : inverse(X0) = inverse(multiply(X0,inverse(identity))),
    inference(superposition,[],[f1236,f243]) ).

fof(f1618,plain,
    ! [X0] : inverse(X0) = inverse(multiply(X0,inverse(identity))),
    inference(superposition,[],[f243,f1236]) ).

fof(f1733,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(superposition,[],[f1673,f777]) ).

fof(f2517,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(forward_demodulation,[],[f1736,f799]) ).

fof(f1736,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,inverse(identity)),
    inference(superposition,[],[f1673,f244]) ).

fof(f1868,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(superposition,[],[f1760,f777]) ).

fof(f1874,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(superposition,[],[f777,f1760]) ).

fof(f1919,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(superposition,[],[f1240,f2]) ).

fof(f2506,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(forward_demodulation,[],[f1921,f799]) ).

fof(f1921,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,inverse(identity)),
    inference(superposition,[],[f1240,f695]) ).

fof(f2505,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(forward_demodulation,[],[f2504,f799]) ).

fof(f2504,plain,
    ! [X0] : multiply(inverse(inverse(X0)),inverse(identity)) = X0,
    inference(forward_demodulation,[],[f1930,f1236]) ).

fof(f1930,plain,
    ! [X0,X1] : multiply(multiply(X1,inverse(multiply(inverse(X0),X1))),inverse(identity)) = X0,
    inference(superposition,[],[f1240,f897]) ).

fof(f2503,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(forward_demodulation,[],[f1931,f799]) ).

fof(f1931,plain,
    ! [X0] : multiply(inverse(inverse(X0)),inverse(identity)) = X0,
    inference(superposition,[],[f1240,f774]) ).

fof(f1259,plain,
    ! [X0] : identity = multiply(inverse(X0),multiply(X0,inverse(identity))),
    inference(forward_demodulation,[],[f1028,f799]) ).

fof(f1028,plain,
    ! [X0] : identity = multiply(inverse(inverse(inverse(X0))),multiply(X0,inverse(identity))),
    inference(superposition,[],[f897,f695]) ).

fof(f2057,plain,
    ! [X0] : inverse(X0) = multiply(inverse(X0),inverse(identity)),
    inference(superposition,[],[f1677,f243]) ).

fof(f2481,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(forward_demodulation,[],[f2171,f799]) ).

fof(f2171,plain,
    ! [X0] : multiply(inverse(inverse(X0)),inverse(identity)) = X0,
    inference(superposition,[],[f1998,f243]) ).

fof(f2471,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(forward_demodulation,[],[f2379,f799]) ).

fof(f2379,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,inverse(identity)),
    inference(superposition,[],[f1630,f1]) ).

fof(f2408,plain,
    ! [X2,X0,X1] : multiply(X0,inverse(X1)) = multiply(inverse(multiply(X2,multiply(X1,inverse(X0)))),X2),
    inference(superposition,[],[f1998,f1630]) ).

fof(f2407,plain,
    ! [X2,X0,X1] : multiply(multiply(X2,multiply(X1,inverse(X0))),multiply(X0,inverse(X1))) = X2,
    inference(superposition,[],[f1760,f1630]) ).

fof(f2406,plain,
    ! [X2,X0,X1] : multiply(multiply(X2,multiply(X0,inverse(X1))),multiply(X1,inverse(X0))) = X2,
    inference(superposition,[],[f1673,f1630]) ).

fof(f2468,plain,
    ! [X2,X0,X1] : multiply(inverse(X2),multiply(X1,inverse(X0))) = inverse(multiply(X0,multiply(inverse(X1),X2))),
    inference(forward_demodulation,[],[f2405,f3]) ).

fof(f2405,plain,
    ! [X2,X0,X1] : inverse(multiply(multiply(X0,inverse(X1)),X2)) = multiply(inverse(X2),multiply(X1,inverse(X0))),
    inference(superposition,[],[f1627,f1630]) ).

fof(f2467,plain,
    ! [X2,X0,X1] : inverse(multiply(X2,multiply(X0,inverse(X1)))) = multiply(X1,inverse(multiply(X2,X0))),
    inference(forward_demodulation,[],[f2466,f1627]) ).

fof(f2466,plain,
    ! [X2,X0,X1] : inverse(multiply(X2,multiply(X0,inverse(X1)))) = multiply(X1,multiply(inverse(X0),inverse(X2))),
    inference(forward_demodulation,[],[f2404,f3]) ).

fof(f2404,plain,
    ! [X2,X0,X1] : inverse(multiply(X2,multiply(X0,inverse(X1)))) = multiply(multiply(X1,inverse(X0)),inverse(X2)),
    inference(superposition,[],[f1627,f1630]) ).

fof(f2465,plain,
    ! [X2,X0,X1] : multiply(X0,inverse(X1)) = multiply(X2,inverse(multiply(X1,multiply(inverse(X0),X2)))),
    inference(forward_demodulation,[],[f2403,f3]) ).

fof(f2403,plain,
    ! [X2,X0,X1] : multiply(X0,inverse(X1)) = multiply(X2,inverse(multiply(multiply(X1,inverse(X0)),X2))),
    inference(superposition,[],[f1240,f1630]) ).

fof(f2464,plain,
    ! [X2,X0,X1] : multiply(multiply(X0,inverse(X1)),multiply(X1,multiply(inverse(X0),X2))) = X2,
    inference(forward_demodulation,[],[f2401,f3]) ).

fof(f2401,plain,
    ! [X2,X0,X1] : multiply(multiply(X0,inverse(X1)),multiply(multiply(X1,inverse(X0)),X2)) = X2,
    inference(superposition,[],[f778,f1630]) ).

fof(f2400,plain,
    ! [X0,X1] : identity = multiply(multiply(X0,inverse(X1)),multiply(X1,inverse(X0))),
    inference(superposition,[],[f774,f1630]) ).

fof(f2463,plain,
    ! [X0,X1] : identity = multiply(multiply(X1,inverse(X0)),multiply(X0,inverse(X1))),
    inference(forward_demodulation,[],[f2399,f799]) ).

fof(f2399,plain,
    ! [X0,X1] : identity = multiply(inverse(inverse(multiply(X1,inverse(X0)))),multiply(X0,inverse(X1))),
    inference(superposition,[],[f695,f1630]) ).

fof(f2461,plain,
    ! [X2,X0,X1] : multiply(multiply(X1,inverse(X0)),multiply(X0,multiply(inverse(X1),X2))) = X2,
    inference(forward_demodulation,[],[f2396,f3]) ).

fof(f2396,plain,
    ! [X2,X0,X1] : multiply(multiply(X1,inverse(X0)),multiply(multiply(X0,inverse(X1)),X2)) = X2,
    inference(superposition,[],[f67,f1630]) ).

fof(f2395,plain,
    ! [X0,X1] : identity = multiply(multiply(X1,inverse(X0)),multiply(X0,inverse(X1))),
    inference(superposition,[],[f2,f1630]) ).

fof(f2389,plain,
    ! [X2,X0,X1] : inverse(multiply(X0,multiply(X1,inverse(X2)))) = multiply(X2,inverse(multiply(X0,X1))),
    inference(superposition,[],[f1630,f3]) ).

fof(f2411,plain,
    ! [X2,X0,X1] : inverse(multiply(X2,multiply(X1,inverse(X0)))) = multiply(X0,inverse(multiply(X2,X1))),
    inference(forward_demodulation,[],[f2410,f1627]) ).

fof(f2410,plain,
    ! [X2,X0,X1] : inverse(multiply(X2,multiply(X1,inverse(X0)))) = multiply(X0,multiply(inverse(X1),inverse(X2))),
    inference(forward_demodulation,[],[f2365,f3]) ).

fof(f2365,plain,
    ! [X2,X0,X1] : multiply(multiply(X0,inverse(X1)),inverse(X2)) = inverse(multiply(X2,multiply(X1,inverse(X0)))),
    inference(superposition,[],[f1630,f1630]) ).

fof(f1630,plain,
    ! [X0,X1] : inverse(multiply(X1,inverse(X0))) = multiply(X0,inverse(X1)),
    inference(superposition,[],[f778,f1236]) ).

fof(f2276,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(X1,X0)),X2) = multiply(inverse(X0),multiply(inverse(X1),X2)),
    inference(superposition,[],[f3,f1627]) ).

fof(f2268,plain,
    ! [X0,X1] : inverse(multiply(X1,inverse(X0))) = multiply(X0,inverse(X1)),
    inference(superposition,[],[f257,f1627]) ).

fof(f2255,plain,
    ! [X0,X1] : inverse(multiply(X1,inverse(X0))) = multiply(X0,inverse(X1)),
    inference(superposition,[],[f1627,f257]) ).

fof(f2238,plain,
    ! [X0,X1] : inverse(multiply(inverse(X0),X1)) = multiply(inverse(X1),X0),
    inference(superposition,[],[f1627,f799]) ).

fof(f2229,plain,
    ! [X0,X1] : inverse(multiply(X1,inverse(X0))) = multiply(X0,inverse(X1)),
    inference(superposition,[],[f1627,f799]) ).

fof(f1627,plain,
    ! [X0,X1] : inverse(multiply(X1,X0)) = multiply(inverse(X0),inverse(X1)),
    inference(superposition,[],[f67,f1236]) ).

fof(f2191,plain,
    ! [X0,X1] : multiply(X1,X0) = inverse(multiply(inverse(X0),inverse(X1))),
    inference(superposition,[],[f1760,f1998]) ).

fof(f2189,plain,
    ! [X2,X0,X1] : multiply(X1,X2) = multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,X2)),
    inference(superposition,[],[f3,f1998]) ).

fof(f2185,plain,
    ! [X0,X1] : multiply(X1,inverse(X0)) = inverse(multiply(X0,inverse(X1))),
    inference(superposition,[],[f1673,f1998]) ).

fof(f2179,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(X0,multiply(X1,inverse(X2)))),multiply(X0,X1)) = X2,
    inference(superposition,[],[f1998,f3]) ).

fof(f1998,plain,
    ! [X0,X1] : multiply(inverse(multiply(X1,inverse(X0))),X1) = X0,
    inference(forward_demodulation,[],[f1932,f799]) ).

fof(f1932,plain,
    ! [X0,X1] : multiply(inverse(multiply(X1,inverse(X0))),inverse(inverse(X1))) = X0,
    inference(superposition,[],[f1240,f1236]) ).

fof(f2101,plain,
    ! [X0,X1] : inverse(multiply(inverse(X0),X1)) = multiply(inverse(X1),X0),
    inference(superposition,[],[f1760,f1677]) ).

fof(f2099,plain,
    ! [X2,X0,X1] : multiply(inverse(X1),X2) = multiply(inverse(multiply(X0,X1)),multiply(X0,X2)),
    inference(superposition,[],[f3,f1677]) ).

fof(f2095,plain,
    ! [X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(X1),inverse(X0)),
    inference(superposition,[],[f1673,f1677]) ).

fof(f2078,plain,
    ! [X0,X1] : inverse(multiply(inverse(X0),X1)) = multiply(inverse(X1),X0),
    inference(superposition,[],[f1677,f778]) ).

fof(f2077,plain,
    ! [X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(X1),inverse(X0)),
    inference(superposition,[],[f1677,f67]) ).

fof(f2064,plain,
    ! [X2,X0,X1] : inverse(X2) = multiply(inverse(multiply(X0,multiply(X1,X2))),multiply(X0,X1)),
    inference(superposition,[],[f1677,f3]) ).

fof(f1677,plain,
    ! [X0,X1] : inverse(X0) = multiply(inverse(multiply(X1,X0)),X1),
    inference(forward_demodulation,[],[f1601,f799]) ).

fof(f1601,plain,
    ! [X0,X1] : inverse(X0) = multiply(inverse(multiply(X1,X0)),inverse(inverse(X1))),
    inference(superposition,[],[f1236,f1236]) ).

fof(f1962,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,inverse(multiply(inverse(X2),multiply(X0,X1))))) = X2,
    inference(superposition,[],[f3,f1240]) ).

fof(f1961,plain,
    ! [X0,X1] : multiply(X0,X1) = inverse(multiply(inverse(X1),inverse(X0))),
    inference(superposition,[],[f778,f1240]) ).

fof(f1959,plain,
    ! [X2,X0,X1] : multiply(X1,X2) = multiply(X0,multiply(inverse(multiply(inverse(X1),X0)),X2)),
    inference(superposition,[],[f3,f1240]) ).

fof(f1958,plain,
    ! [X0,X1] : multiply(inverse(X0),X1) = inverse(multiply(inverse(X1),X0)),
    inference(superposition,[],[f67,f1240]) ).

fof(f1957,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(inverse(multiply(inverse(X1),X0)),inverse(X1))),
    inference(superposition,[],[f897,f1240]) ).

fof(f1956,plain,
    ! [X0,X1] : inverse(X0) = multiply(inverse(multiply(inverse(X1),X0)),inverse(X1)),
    inference(superposition,[],[f1236,f1240]) ).

fof(f1942,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,inverse(multiply(inverse(X2),multiply(X0,X1))))) = X2,
    inference(superposition,[],[f1240,f3]) ).

fof(f1933,plain,
    ! [X0,X1] : multiply(inverse(multiply(inverse(X1),inverse(X0))),inverse(X1)) = X0,
    inference(superposition,[],[f1240,f1240]) ).

fof(f1240,plain,
    ! [X0,X1] : multiply(X1,inverse(multiply(inverse(X0),X1))) = X0,
    inference(forward_demodulation,[],[f1105,f777]) ).

fof(f1105,plain,
    ! [X0,X1] : multiply(X0,identity) = multiply(X1,inverse(multiply(inverse(X0),X1))),
    inference(superposition,[],[f778,f897]) ).

fof(f1872,plain,
    ! [X2,X0,X1] : multiply(X0,X2) = multiply(multiply(X0,inverse(X1)),multiply(X1,X2)),
    inference(superposition,[],[f3,f1760]) ).

fof(f1871,plain,
    ! [X0,X1] : multiply(inverse(multiply(X0,inverse(X1))),X0) = X1,
    inference(superposition,[],[f67,f1760]) ).

fof(f1870,plain,
    ! [X0,X1] : identity = multiply(multiply(X0,inverse(X1)),multiply(X1,inverse(X0))),
    inference(superposition,[],[f897,f1760]) ).

fof(f1869,plain,
    ! [X0,X1] : multiply(X1,inverse(X0)) = inverse(multiply(X0,inverse(X1))),
    inference(superposition,[],[f1236,f1760]) ).

fof(f1866,plain,
    ! [X2,X0,X1] : multiply(X0,X1) = multiply(multiply(X0,multiply(X1,inverse(X2))),X2),
    inference(superposition,[],[f1760,f3]) ).

fof(f1760,plain,
    ! [X0,X1] : multiply(multiply(X1,inverse(X0)),X0) = X1,
    inference(superposition,[],[f1673,f799]) ).

fof(f1772,plain,
    ! [X2,X0,X1] : multiply(multiply(X0,X1),multiply(inverse(X1),X2)) = multiply(X0,X2),
    inference(superposition,[],[f3,f1673]) ).

fof(f1771,plain,
    ! [X0,X1] : inverse(X1) = multiply(inverse(multiply(X0,X1)),X0),
    inference(superposition,[],[f67,f1673]) ).

fof(f1770,plain,
    ! [X0,X1] : identity = multiply(multiply(X0,X1),multiply(inverse(X1),inverse(X0))),
    inference(superposition,[],[f897,f1673]) ).

fof(f1769,plain,
    ! [X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(X1),inverse(X0)),
    inference(superposition,[],[f1236,f1673]) ).

fof(f1746,plain,
    ! [X0,X1] : multiply(X1,inverse(multiply(inverse(X0),X1))) = X0,
    inference(superposition,[],[f1673,f778]) ).

fof(f1732,plain,
    ! [X2,X0,X1] : multiply(X0,X1) = multiply(multiply(X0,multiply(X1,X2)),inverse(X2)),
    inference(superposition,[],[f1673,f3]) ).

fof(f1673,plain,
    ! [X0,X1] : multiply(multiply(X0,X1),inverse(X1)) = X0,
    inference(forward_demodulation,[],[f1597,f799]) ).

fof(f1597,plain,
    ! [X0,X1] : inverse(inverse(X0)) = multiply(multiply(X0,X1),inverse(X1)),
    inference(superposition,[],[f1236,f67]) ).

fof(f1631,plain,
    ! [X2,X0,X1] : inverse(X2) = multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1))))),
    inference(superposition,[],[f3,f1236]) ).

fof(f1628,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(inverse(multiply(X1,X0)),X2)) = multiply(inverse(X1),X2),
    inference(superposition,[],[f3,f1236]) ).

fof(f1723,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(inverse(multiply(X1,X0)),X1)),
    inference(forward_demodulation,[],[f1626,f799]) ).

fof(f1626,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(inverse(multiply(X1,X0)),inverse(inverse(X1)))),
    inference(superposition,[],[f897,f1236]) ).

fof(f1615,plain,
    ! [X2,X0,X1] : inverse(X2) = multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1))))),
    inference(superposition,[],[f1236,f3]) ).

fof(f1598,plain,
    ! [X0,X1] : inverse(X0) = multiply(multiply(inverse(X0),X1),inverse(X1)),
    inference(superposition,[],[f1236,f778]) ).

fof(f1584,plain,
    ! [X2,X0,X1] : inverse(multiply(X0,X1)) = multiply(X2,inverse(multiply(X0,multiply(X1,X2)))),
    inference(superposition,[],[f1236,f3]) ).

fof(f1236,plain,
    ! [X0,X1] : inverse(X0) = multiply(X1,inverse(multiply(X0,X1))),
    inference(forward_demodulation,[],[f1102,f777]) ).

fof(f1102,plain,
    ! [X0,X1] : multiply(inverse(X0),identity) = multiply(X1,inverse(multiply(X0,X1))),
    inference(superposition,[],[f67,f897]) ).

fof(f1158,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),inverse(identity)))),
    inference(forward_demodulation,[],[f1052,f3]) ).

fof(f1052,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(multiply(X1,inverse(multiply(X0,X1))),inverse(identity))),
    inference(superposition,[],[f897,f897]) ).

fof(f1053,plain,
    ! [X0] : identity = multiply(X0,multiply(inverse(X0),inverse(identity))),
    inference(superposition,[],[f897,f774]) ).

fof(f1065,plain,
    ! [X0] : identity = multiply(X0,inverse(multiply(X0,inverse(identity)))),
    inference(superposition,[],[f897,f243]) ).

fof(f1241,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(X0,multiply(X1,X2)))))),
    inference(forward_demodulation,[],[f1106,f3]) ).

fof(f1106,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(multiply(X0,X1),X2))))),
    inference(superposition,[],[f3,f897]) ).

fof(f1238,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
    inference(forward_demodulation,[],[f1237,f3]) ).

fof(f1237,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,inverse(multiply(X0,X1))),X2)) = X2,
    inference(forward_demodulation,[],[f1103,f1]) ).

fof(f1103,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,inverse(multiply(X0,X1))),X2)) = multiply(identity,X2),
    inference(superposition,[],[f3,f897]) ).

fof(f1202,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(X0,multiply(X1,X2)))))),
    inference(forward_demodulation,[],[f1084,f3]) ).

fof(f1084,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(multiply(X0,X1),X2))))),
    inference(superposition,[],[f897,f3]) ).

fof(f1070,plain,
    ! [X2,X0,X1] : identity = multiply(X2,multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1)))))),
    inference(superposition,[],[f897,f3]) ).

fof(f1033,plain,
    ! [X2,X0,X1] : identity = multiply(multiply(X0,X1),multiply(X2,inverse(multiply(X0,multiply(X1,X2))))),
    inference(superposition,[],[f897,f3]) ).

fof(f897,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
    inference(superposition,[],[f774,f3]) ).

fof(f999,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
    inference(superposition,[],[f3,f778]) ).

fof(f986,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
    inference(superposition,[],[f778,f3]) ).

fof(f778,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f257,f67]) ).

fof(f911,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
    inference(superposition,[],[f3,f774]) ).

fof(f934,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(forward_demodulation,[],[f909,f1]) ).

fof(f909,plain,
    ! [X0,X1] : multiply(identity,X1) = multiply(X0,multiply(inverse(X0),X1)),
    inference(superposition,[],[f3,f774]) ).

fof(f878,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f2,f799]) ).

fof(f877,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f67,f799]) ).

fof(f799,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(superposition,[],[f777,f244]) ).

fof(f860,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(forward_demodulation,[],[f829,f777]) ).

fof(f829,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,identity),
    inference(superposition,[],[f257,f777]) ).

fof(f813,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(superposition,[],[f244,f777]) ).

fof(f845,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(forward_demodulation,[],[f808,f777]) ).

fof(f808,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,identity),
    inference(superposition,[],[f777,f257]) ).

fof(f777,plain,
    ! [X0] : multiply(X0,identity) = X0,
    inference(superposition,[],[f257,f244]) ).

fof(f788,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f67,f257]) ).

fof(f787,plain,
    ! [X0] : multiply(X0,identity) = X0,
    inference(superposition,[],[f244,f257]) ).

fof(f783,plain,
    ! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
    inference(superposition,[],[f67,f257]) ).

fof(f782,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f2,f257]) ).

fof(f766,plain,
    ! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f749,f1]) ).

fof(f749,plain,
    ! [X0,X1] : multiply(identity,X1) = multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)),
    inference(superposition,[],[f3,f695]) ).

fof(f748,plain,
    ! [X0] : multiply(inverse(inverse(inverse(inverse(X0)))),identity) = X0,
    inference(superposition,[],[f67,f695]) ).

fof(f695,plain,
    ! [X0] : identity = multiply(inverse(inverse(inverse(X0))),X0),
    inference(superposition,[],[f67,f244]) ).

fof(f705,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
    inference(forward_demodulation,[],[f696,f1]) ).

fof(f696,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),multiply(identity,X1)),
    inference(superposition,[],[f3,f244]) ).

fof(f244,plain,
    ! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[],[f67,f2]) ).

fof(f21,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).

fof(f420,plain,
    ! [X0] : multiply(inverse(inverse(identity)),X0) = X0,
    inference(superposition,[],[f67,f243]) ).

fof(f243,plain,
    ! [X0] : multiply(inverse(identity),X0) = X0,
    inference(superposition,[],[f67,f1]) ).

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

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

fof(f5,axiom,
    ( inverse(sk_c8) = sk_c7
    | sk_c7 = multiply(sk_c3,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).

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

fof(f8,axiom,
    ( inverse(sk_c8) = sk_c7
    | sk_c5 = multiply(sk_c4,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).

fof(f16,axiom,
    ( sk_c8 = inverse(sk_c1)
    | multiply(sk_c8,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).

fof(f34,axiom,
    ( sk_c6 = inverse(sk_c2)
    | multiply(sk_c8,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).

fof(f35,axiom,
    ( sk_c6 = inverse(sk_c2)
    | sk_c7 = multiply(sk_c3,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).

fof(f10,axiom,
    ( sk_c7 = multiply(sk_c1,sk_c8)
    | multiply(sk_c8,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).

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

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

fof(f29,axiom,
    ( sk_c7 = multiply(sk_c2,sk_c6)
    | sk_c7 = multiply(sk_c3,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).

fof(f41,plain,
    ! [X3,X7,X4,X5] :
      ( sk_c6 != inverse(X4)
      | sk_c8 != inverse(X3)
      | sk_c8 != inverse(X7)
      | sk_c8 != inverse(X5)
      | inverse(sk_c8) != sk_c7
      | sk_c7 != multiply(sk_c8,sk_c6)
      | sk_c7 != multiply(X4,sk_c6)
      | sk_c7 != multiply(X5,sk_c8)
      | sk_c7 != multiply(X3,sk_c8)
      | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
      | multiply(sk_c8,sk_c7) != sk_c6 ),
    inference(equality_resolution,[],[f40]) ).

fof(f40,axiom,
    ! [X3,X6,X7,X4,X5] :
      ( sk_c6 != inverse(X4)
      | sk_c8 != inverse(X3)
      | sk_c8 != inverse(X7)
      | sk_c8 != inverse(X5)
      | inverse(sk_c8) != sk_c7
      | sk_c7 != multiply(sk_c8,sk_c6)
      | sk_c7 != multiply(X4,sk_c6)
      | sk_c7 != multiply(X5,sk_c8)
      | sk_c7 != multiply(X3,sk_c8)
      | sk_c7 != multiply(sk_c8,X6)
      | multiply(sk_c8,sk_c7) != sk_c6
      | multiply(X7,sk_c8) != X6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).

fof(f247,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
    inference(superposition,[],[f67,f3]) ).

fof(f6,axiom,
    ( sk_c8 = inverse(sk_c3)
    | inverse(sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).

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

fof(f30,axiom,
    ( sk_c8 = inverse(sk_c3)
    | sk_c7 = multiply(sk_c2,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).

fof(f36,axiom,
    ( sk_c6 = inverse(sk_c2)
    | sk_c8 = inverse(sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).

fof(f67,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f59,f1]) ).

fof(f59,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[],[f3,f2]) ).

fof(f3808,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3807]) ).

fof(f3807,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | spl0_8 ),
    inference(subsumption_resolution,[],[f3798,f1399]) ).

fof(f3798,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | spl0_8 ),
    inference(superposition,[],[f1,f3767]) ).

fof(f3806,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3805]) ).

fof(f3805,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | spl0_8 ),
    inference(subsumption_resolution,[],[f3797,f1399]) ).

fof(f3797,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | spl0_8 ),
    inference(superposition,[],[f3767,f1]) ).

fof(f3618,plain,
    ( spl0_5
    | spl0_5
    | spl0_5
    | spl0_6
    | ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f3602,f1398,f1394,f47,f43,f1246,f1243,f1243,f1243]) ).

fof(f1243,plain,
    ( spl0_5
  <=> ! [X4] :
        ( identity != multiply(X4,identity)
        | identity != inverse(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f1246,plain,
    ( spl0_6
  <=> ! [X7] :
        ( identity != multiply(identity,X7)
        | identity != inverse(X7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f3602,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(identity,X7)
        | identity != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | identity != multiply(X4,identity)
        | identity != inverse(X5)
        | identity != inverse(X7)
        | identity != inverse(X3)
        | identity != inverse(X4) )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f3601,f777]) ).

fof(f3601,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(identity,multiply(X7,identity))
        | identity != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | identity != multiply(X4,identity)
        | identity != inverse(X5)
        | identity != inverse(X7)
        | identity != inverse(X3)
        | identity != inverse(X4) )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f3600,f3544]) ).

fof(f3544,plain,
    ( identity = sk_c8
    | spl0_2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(superposition,[],[f3543,f3413]) ).

fof(f3413,plain,
    ( sk_c8 = sk_c7
    | spl0_2
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f36,f30,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f10,f35,f34,f16,f8,f7,f5,f4,f9,f243,f420,f21,f244,f705,f695,f748,f766,f257,f782,f783,f787,f788,f777,f845,f813,f860,f799,f877,f878,f774,f934,f911,f778,f986,f999,f897,f1033,f1070,f1202,f1238,f1241,f1065,f1053,f1158,f1236,f1584,f1598,f1615,f1723,f1628,f1631,f1673,f1732,f1746,f1769,f1770,f1771,f1772,f1760,f1866,f1869,f1870,f1871,f1872,f1240,f1933,f1942,f1956,f1957,f1958,f1959,f1961,f1962,f1677,f2064,f2077,f2078,f2095,f2099,f2101,f1998,f2179,f2185,f2189,f2191,f1627,f2229,f2238,f2255,f2268,f2276,f1630,f2411,f2389,f2395,f2461,f2463,f2400,f2464,f2465,f2467,f2468,f2406,f2407,f2408,f2471,f2481,f2057,f1259,f2503,f2505,f2506,f1919,f1874,f1868,f2517,f1733,f1618,f1611,f1600,f2537,f2543,f2544,f1026,f15,f14,f13,f2509,f2493,f2448,f2440,f2374,f2351,f2348,f2338,f2334,f20,f2331,f2325,f2116,f1774,f1632,f19,f1209,f2829,f2831,f2833,f2835,f2837,f2839,f39,f37,f38,f31,f26,f25,f27,f33,f32,f1400,f1208,f1195,f1194,f1271,f1270,f898,f891,f817,f816,f803,f802,f750,f747,f17,f3392,f12,f3379,f3374,f3356,f3403,f18,f48,f11,f3412,f3354]) ).

fof(f3354,plain,
    ( sk_c8 = sk_c7
    | sk_c7 = multiply(sk_c3,sk_c8)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f3353,f777]) ).

fof(f3353,plain,
    ( sk_c7 = multiply(sk_c8,identity)
    | sk_c7 = multiply(sk_c3,sk_c8)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f23,f1400]) ).

fof(f3403,plain,
    ( identity = inverse(sk_c2)
    | sk_c7 = multiply(sk_c3,sk_c8)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f35,f1400]) ).

fof(f3356,plain,
    ( sk_c7 = multiply(sk_c2,identity)
    | sk_c7 = multiply(sk_c3,sk_c8)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f29,f1400]) ).

fof(f3374,plain,
    ( sk_c7 = multiply(sk_c2,identity)
    | sk_c8 = inverse(sk_c3)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f30,f1400]) ).

fof(f3379,plain,
    ( sk_c8 = sk_c7
    | sk_c8 = inverse(sk_c3)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f3378,f777]) ).

fof(f3378,plain,
    ( sk_c7 = multiply(sk_c8,identity)
    | sk_c8 = inverse(sk_c3)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f24,f1400]) ).

fof(f3392,plain,
    ( identity = inverse(sk_c2)
    | sk_c8 = inverse(sk_c3)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f36,f1400]) ).

fof(f1400,plain,
    ( identity = sk_c6
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f1398]) ).

fof(f2839,plain,
    ( identity = inverse(sk_c2)
    | sk_c8 = inverse(sk_c4)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f39,f1400]) ).

fof(f2837,plain,
    ( identity = inverse(sk_c2)
    | sk_c7 = multiply(sk_c8,sk_c5)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f37,f1400]) ).

fof(f2835,plain,
    ( identity = inverse(sk_c2)
    | sk_c5 = multiply(sk_c4,sk_c8)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f38,f1400]) ).

fof(f2833,plain,
    ( sk_c7 = multiply(sk_c2,identity)
    | sk_c7 = multiply(sk_c8,sk_c5)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f31,f1400]) ).

fof(f2831,plain,
    ( sk_c7 = multiply(sk_c2,identity)
    | sk_c5 = multiply(sk_c4,sk_c8)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f32,f1400]) ).

fof(f2829,plain,
    ( sk_c7 = multiply(sk_c2,identity)
    | sk_c8 = inverse(sk_c4)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f33,f1400]) ).

fof(f3543,plain,
    ( identity = sk_c7
    | spl0_2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f3542,f1]) ).

fof(f3542,plain,
    ( sk_c7 = multiply(identity,identity)
    | spl0_2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f3416,f1554]) ).

fof(f1554,plain,
    ( identity = sk_c2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1553,f774]) ).

fof(f1553,plain,
    ( ! [X0] : sk_c2 = multiply(X0,inverse(X0))
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1552,f1]) ).

fof(f1552,plain,
    ( ! [X0] : sk_c2 = multiply(X0,inverse(multiply(identity,X0)))
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1481,f1400]) ).

fof(f1481,plain,
    ( ! [X0] : sk_c2 = multiply(X0,inverse(multiply(sk_c6,X0)))
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f1473,f777]) ).

fof(f1473,plain,
    ( ! [X0] : multiply(sk_c2,identity) = multiply(X0,inverse(multiply(sk_c6,X0)))
    | ~ spl0_7 ),
    inference(superposition,[],[f1408,f897]) ).

fof(f1408,plain,
    ( ! [X0] : multiply(sk_c2,multiply(sk_c6,X0)) = X0
    | ~ spl0_7 ),
    inference(superposition,[],[f778,f1396]) ).

fof(f3416,plain,
    ( sk_c7 = multiply(sk_c2,identity)
    | spl0_2
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f36,f30,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f10,f35,f34,f16,f8,f7,f5,f4,f9,f243,f420,f21,f244,f705,f695,f748,f766,f257,f782,f783,f787,f788,f777,f845,f813,f860,f799,f877,f878,f774,f934,f911,f778,f986,f999,f897,f1033,f1070,f1202,f1238,f1241,f1065,f1053,f1158,f1236,f1584,f1598,f1615,f1723,f1628,f1631,f1673,f1732,f1746,f1769,f1770,f1771,f1772,f1760,f1866,f1869,f1870,f1871,f1872,f1240,f1933,f1942,f1956,f1957,f1958,f1959,f1961,f1962,f1677,f2064,f2077,f2078,f2095,f2099,f2101,f1998,f2179,f2185,f2189,f2191,f1627,f2229,f2238,f2255,f2268,f2276,f1630,f2411,f2389,f2395,f2461,f2463,f2400,f2464,f2465,f2467,f2468,f2406,f2407,f2408,f2471,f2481,f2057,f1259,f2503,f2505,f2506,f1919,f1874,f1868,f2517,f1733,f1618,f1611,f1600,f2537,f2543,f2544,f1026,f15,f14,f13,f2509,f2493,f2448,f2440,f2374,f2351,f2348,f2338,f2334,f20,f2331,f2325,f2116,f1774,f1632,f19,f1209,f2829,f2831,f2833,f2835,f2837,f2839,f39,f37,f38,f31,f26,f25,f27,f33,f32,f1400,f1208,f1195,f1194,f1271,f1270,f898,f891,f817,f816,f803,f802,f750,f747,f3392,f12,f3379,f3374,f3356,f3403,f18,f48,f11,f3412,f3354,f3413,f17,f3415]) ).

fof(f3415,plain,
    ( sk_c7 = multiply(sk_c2,identity)
    | sk_c5 = multiply(sk_c4,sk_c8)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f32,f1400]) ).

fof(f3600,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | identity != multiply(X4,identity)
        | identity != inverse(X5)
        | identity != inverse(X7)
        | identity != inverse(X3)
        | identity != inverse(X4)
        | sk_c8 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f3599,f3544]) ).

fof(f3599,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(X5,identity)
        | identity != multiply(X4,identity)
        | identity != inverse(X5)
        | identity != inverse(X7)
        | identity != inverse(X3)
        | identity != inverse(X4)
        | sk_c8 != multiply(X3,sk_c8)
        | sk_c8 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f3598,f3544]) ).

fof(f3598,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(X4,identity)
        | identity != inverse(X5)
        | identity != inverse(X7)
        | identity != inverse(X3)
        | identity != inverse(X4)
        | sk_c8 != multiply(X5,sk_c8)
        | sk_c8 != multiply(X3,sk_c8)
        | sk_c8 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f3597,f3544]) ).

fof(f3597,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X5)
        | identity != inverse(X7)
        | identity != inverse(X3)
        | identity != inverse(X4)
        | sk_c8 != multiply(X4,identity)
        | sk_c8 != multiply(X5,sk_c8)
        | sk_c8 != multiply(X3,sk_c8)
        | sk_c8 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f3596,f3544]) ).

fof(f3596,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X7)
        | identity != inverse(X3)
        | identity != inverse(X4)
        | sk_c8 != inverse(X5)
        | sk_c8 != multiply(X4,identity)
        | sk_c8 != multiply(X5,sk_c8)
        | sk_c8 != multiply(X3,sk_c8)
        | sk_c8 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f3595,f3544]) ).

fof(f3595,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X3)
        | identity != inverse(X4)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X5)
        | sk_c8 != multiply(X4,identity)
        | sk_c8 != multiply(X5,sk_c8)
        | sk_c8 != multiply(X3,sk_c8)
        | sk_c8 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f3594,f3544]) ).

fof(f3594,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X4)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X5)
        | sk_c8 != multiply(X4,identity)
        | sk_c8 != multiply(X5,sk_c8)
        | sk_c8 != multiply(X3,sk_c8)
        | sk_c8 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f3362,f3413]) ).

fof(f3362,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c8 != sk_c7
        | identity != inverse(X4)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X5)
        | sk_c8 != multiply(X4,identity)
        | sk_c8 != multiply(X5,sk_c8)
        | sk_c8 != multiply(X3,sk_c8)
        | sk_c8 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(inner_rewriting,[],[f3361]) ).

fof(f3361,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c8 != sk_c7
        | identity != inverse(X4)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X5)
        | sk_c7 != multiply(X4,identity)
        | sk_c7 != multiply(X5,sk_c8)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f3360,f777]) ).

fof(f3360,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X4)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X5)
        | sk_c7 != multiply(sk_c8,identity)
        | sk_c7 != multiply(X4,identity)
        | sk_c7 != multiply(X5,sk_c8)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f1264,f1400]) ).

fof(f1264,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != sk_c6
        | identity != inverse(X4)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X5)
        | sk_c7 != multiply(sk_c8,identity)
        | sk_c7 != multiply(X4,identity)
        | sk_c7 != multiply(X5,sk_c8)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_1 ),
    inference(inner_rewriting,[],[f1263]) ).

fof(f1263,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != sk_c6
        | sk_c6 != inverse(X4)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X5)
        | sk_c7 != multiply(sk_c8,sk_c6)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c7 != multiply(X5,sk_c8)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f936,f461]) ).

fof(f936,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c6 != inverse(X4)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X5)
        | sk_c7 != multiply(sk_c8,sk_c6)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c7 != multiply(X5,sk_c8)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
        | multiply(sk_c8,sk_c7) != sk_c6 )
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f41,f45]) ).

fof(f3410,plain,
    ( spl0_2
    | spl0_7
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3409]) ).

fof(f3409,plain,
    ( $false
    | spl0_2
    | spl0_7
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f36,f30,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f10,f35,f34,f16,f8,f7,f5,f4,f9,f243,f420,f21,f244,f705,f695,f748,f766,f257,f782,f783,f787,f788,f777,f845,f813,f860,f799,f877,f878,f774,f934,f911,f778,f986,f999,f897,f1033,f1070,f1202,f1238,f1241,f1065,f1053,f1158,f1236,f1584,f1598,f1615,f1723,f1628,f1631,f1673,f1732,f1746,f1769,f1770,f1771,f1772,f1760,f1866,f1869,f1870,f1871,f1872,f1240,f1933,f1942,f1956,f1957,f1958,f1959,f1961,f1962,f1677,f2064,f2077,f2078,f2095,f2099,f2101,f1998,f2179,f2185,f2189,f2191,f1627,f2229,f2238,f2255,f2268,f2276,f1630,f2411,f2389,f2395,f2461,f2463,f2400,f2464,f2465,f2467,f2468,f2406,f2407,f2408,f2471,f2481,f2057,f1259,f2503,f2505,f2506,f1919,f1874,f1868,f2517,f1733,f1618,f1611,f1600,f2537,f2543,f2544,f1026,f15,f14,f13,f2509,f2493,f2448,f2440,f2374,f2351,f2348,f2338,f2334,f20,f2331,f2325,f2116,f1774,f1632,f19,f1209,f2829,f2831,f2833,f2835,f2837,f2839,f39,f37,f38,f31,f26,f25,f27,f33,f32,f1400,f1208,f1195,f1194,f1271,f1270,f898,f891,f817,f816,f803,f802,f750,f747,f17,f3354,f11,f48,f18,f3392,f12,f3379,f3374,f3356,f3403,f2841,f3408]) ).

fof(f3408,plain,
    ( identity != inverse(sk_c2)
    | spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1395,f1400]) ).

fof(f1395,plain,
    ( sk_c6 != inverse(sk_c2)
    | spl0_7 ),
    inference(avatar_component_clause,[],[f1394]) ).

fof(f2841,plain,
    ( identity != inverse(sk_c2)
    | spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1395,f1400]) ).

fof(f3407,plain,
    ( spl0_2
    | spl0_7
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3406]) ).

fof(f3406,plain,
    ( $false
    | spl0_2
    | spl0_7
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f36,f30,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f10,f35,f34,f16,f8,f7,f5,f4,f9,f243,f420,f21,f244,f705,f695,f748,f766,f257,f782,f783,f787,f788,f777,f845,f813,f860,f799,f877,f878,f774,f934,f911,f778,f986,f999,f897,f1033,f1070,f1202,f1238,f1241,f1065,f1053,f1158,f1236,f1584,f1598,f1615,f1723,f1628,f1631,f1673,f1732,f1746,f1769,f1770,f1771,f1772,f1760,f1866,f1869,f1870,f1871,f1872,f1240,f1933,f1942,f1956,f1957,f1958,f1959,f1961,f1962,f1677,f2064,f2077,f2078,f2095,f2099,f2101,f1998,f2179,f2185,f2189,f2191,f1627,f2229,f2238,f2255,f2268,f2276,f1630,f2411,f2389,f2395,f2461,f2463,f2400,f2464,f2465,f2467,f2468,f2406,f2407,f2408,f2471,f2481,f2057,f1259,f2503,f2505,f2506,f1919,f1874,f1868,f2517,f1733,f1618,f1611,f1600,f2537,f2543,f2544,f1026,f15,f14,f13,f2509,f2493,f2448,f2440,f2374,f2351,f2348,f2338,f2334,f20,f2331,f2325,f2116,f1774,f1632,f19,f1209,f2829,f2831,f2833,f2835,f2837,f2839,f39,f37,f38,f31,f26,f25,f27,f33,f32,f1400,f1208,f1195,f1194,f1271,f1270,f898,f891,f817,f816,f803,f802,f750,f747,f17,f3354,f11,f48,f18,f3392,f12,f3379,f3374,f3356,f3403,f2841]) ).

fof(f3405,plain,
    ( spl0_2
    | spl0_7
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3404]) ).

fof(f3404,plain,
    ( $false
    | spl0_2
    | spl0_7
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f36,f30,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f10,f35,f34,f16,f8,f7,f5,f4,f9,f243,f420,f21,f244,f705,f695,f748,f766,f257,f782,f783,f787,f788,f777,f845,f813,f860,f799,f877,f878,f774,f934,f911,f778,f986,f999,f897,f1033,f1070,f1202,f1238,f1241,f1065,f1053,f1158,f1236,f1584,f1598,f1615,f1723,f1628,f1631,f1673,f1732,f1746,f1769,f1770,f1771,f1772,f1760,f1866,f1869,f1870,f1871,f1872,f1240,f1933,f1942,f1956,f1957,f1958,f1959,f1961,f1962,f1677,f2064,f2077,f2078,f2095,f2099,f2101,f1998,f2179,f2185,f2189,f2191,f1627,f2229,f2238,f2255,f2268,f2276,f1630,f2411,f2389,f2395,f2461,f2463,f2400,f2464,f2465,f2467,f2468,f2406,f2407,f2408,f2471,f2481,f2057,f1259,f2503,f2505,f2506,f1919,f1874,f1868,f2517,f1733,f1618,f1611,f1600,f2537,f2543,f2544,f1026,f15,f14,f13,f2509,f2493,f2448,f2440,f2374,f2351,f2348,f2338,f2334,f20,f2331,f2325,f2116,f1774,f1632,f19,f1209,f2829,f2831,f2833,f2835,f2837,f2839,f2841,f39,f37,f38,f31,f26,f25,f27,f33,f32,f1400,f1208,f1195,f1194,f1271,f1270,f898,f891,f817,f816,f803,f802,f750,f747,f17,f3354,f11,f48,f18,f3392,f12,f3379,f3374,f3356,f3403]) ).

fof(f3402,plain,
    ( spl0_2
    | spl0_7
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3401]) ).

fof(f3401,plain,
    ( $false
    | spl0_2
    | spl0_7
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f36,f30,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f10,f35,f34,f16,f8,f7,f5,f4,f9,f243,f420,f21,f244,f705,f695,f748,f766,f257,f782,f783,f787,f788,f777,f845,f813,f860,f799,f877,f878,f774,f934,f911,f778,f986,f999,f897,f1033,f1070,f1202,f1238,f1241,f1065,f1053,f1158,f1236,f1584,f1598,f1615,f1723,f1628,f1631,f1673,f1732,f1746,f1769,f1770,f1771,f1772,f1760,f1866,f1869,f1870,f1871,f1872,f1240,f1933,f1942,f1956,f1957,f1958,f1959,f1961,f1962,f1677,f2064,f2077,f2078,f2095,f2099,f2101,f1998,f2179,f2185,f2189,f2191,f1627,f2229,f2238,f2255,f2268,f2276,f1630,f2411,f2389,f2395,f2461,f2463,f2400,f2464,f2465,f2467,f2468,f2406,f2407,f2408,f2471,f2481,f2057,f1259,f2503,f2505,f2506,f1919,f1874,f1868,f2517,f1733,f1618,f1611,f1600,f2537,f2543,f2544,f1026,f15,f14,f13,f2509,f2493,f2448,f2440,f2374,f2351,f2348,f2338,f2334,f20,f2331,f2325,f2116,f1774,f1632,f19,f1209,f2829,f2831,f2833,f2835,f2837,f2839,f2841,f39,f37,f38,f31,f26,f25,f27,f33,f32,f1400,f1208,f1195,f1194,f1271,f1270,f898,f891,f817,f816,f803,f802,f750,f747,f17,f3354,f11,f48,f18,f3392,f12,f3379,f3374,f3356]) ).

fof(f3400,plain,
    ( spl0_2
    | spl0_7
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3399]) ).

fof(f3399,plain,
    ( $false
    | spl0_2
    | spl0_7
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f36,f30,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f10,f35,f34,f16,f8,f7,f5,f4,f9,f243,f420,f21,f244,f705,f695,f748,f766,f257,f782,f783,f787,f788,f777,f845,f813,f860,f799,f877,f878,f774,f934,f911,f778,f986,f999,f897,f1033,f1070,f1202,f1238,f1241,f1065,f1053,f1158,f1236,f1584,f1598,f1615,f1723,f1628,f1631,f1673,f1732,f1746,f1769,f1770,f1771,f1772,f1760,f1866,f1869,f1870,f1871,f1872,f1240,f1933,f1942,f1956,f1957,f1958,f1959,f1961,f1962,f1677,f2064,f2077,f2078,f2095,f2099,f2101,f1998,f2179,f2185,f2189,f2191,f1627,f2229,f2238,f2255,f2268,f2276,f1630,f2411,f2389,f2395,f2461,f2463,f2400,f2464,f2465,f2467,f2468,f2406,f2407,f2408,f2471,f2481,f2057,f1259,f2503,f2505,f2506,f1919,f1874,f1868,f2517,f1733,f1618,f1611,f1600,f2537,f2543,f2544,f1026,f15,f14,f13,f2509,f2493,f2448,f2440,f2374,f2351,f2348,f2338,f2334,f20,f2331,f2325,f2116,f1774,f1632,f19,f1209,f2829,f2831,f2833,f2835,f2837,f2839,f2841,f39,f37,f38,f31,f26,f25,f27,f33,f32,f1400,f1208,f1195,f1194,f1271,f1270,f898,f891,f817,f816,f803,f802,f750,f747,f17,f3354,f11,f48,f18,f3392,f12,f3379,f3374]) ).

fof(f3398,plain,
    ( spl0_2
    | spl0_7
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3397]) ).

fof(f3397,plain,
    ( $false
    | spl0_2
    | spl0_7
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f36,f30,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f10,f35,f34,f16,f8,f7,f5,f4,f9,f243,f420,f21,f244,f705,f695,f748,f766,f257,f782,f783,f787,f788,f777,f845,f813,f860,f799,f877,f878,f774,f934,f911,f778,f986,f999,f897,f1033,f1070,f1202,f1238,f1241,f1065,f1053,f1158,f1236,f1584,f1598,f1615,f1723,f1628,f1631,f1673,f1732,f1746,f1769,f1770,f1771,f1772,f1760,f1866,f1869,f1870,f1871,f1872,f1240,f1933,f1942,f1956,f1957,f1958,f1959,f1961,f1962,f1677,f2064,f2077,f2078,f2095,f2099,f2101,f1998,f2179,f2185,f2189,f2191,f1627,f2229,f2238,f2255,f2268,f2276,f1630,f2411,f2389,f2395,f2461,f2463,f2400,f2464,f2465,f2467,f2468,f2406,f2407,f2408,f2471,f2481,f2057,f1259,f2503,f2505,f2506,f1919,f1874,f1868,f2517,f1733,f1618,f1611,f1600,f2537,f2543,f2544,f1026,f15,f14,f13,f2509,f2493,f2448,f2440,f2374,f2351,f2348,f2338,f2334,f20,f2331,f2325,f2116,f1774,f1632,f19,f1209,f2829,f2831,f2833,f2835,f2837,f2839,f2841,f39,f37,f38,f31,f26,f25,f27,f33,f32,f1400,f1208,f1195,f1194,f1271,f1270,f898,f891,f817,f816,f803,f802,f750,f747,f17,f3354,f11,f48,f18,f3392,f12,f3379]) ).

fof(f3396,plain,
    ( spl0_2
    | spl0_7
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3395]) ).

fof(f3395,plain,
    ( $false
    | spl0_2
    | spl0_7
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f36,f30,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f10,f35,f34,f16,f8,f7,f5,f4,f9,f243,f420,f21,f244,f705,f695,f748,f766,f257,f782,f783,f787,f788,f777,f845,f813,f860,f799,f877,f878,f774,f934,f911,f778,f986,f999,f897,f1033,f1070,f1202,f1238,f1241,f1065,f1053,f1158,f1236,f1584,f1598,f1615,f1723,f1628,f1631,f1673,f1732,f1746,f1769,f1770,f1771,f1772,f1760,f1866,f1869,f1870,f1871,f1872,f1240,f1933,f1942,f1956,f1957,f1958,f1959,f1961,f1962,f1677,f2064,f2077,f2078,f2095,f2099,f2101,f1998,f2179,f2185,f2189,f2191,f1627,f2229,f2238,f2255,f2268,f2276,f1630,f2411,f2389,f2395,f2461,f2463,f2400,f2464,f2465,f2467,f2468,f2406,f2407,f2408,f2471,f2481,f2057,f1259,f2503,f2505,f2506,f1919,f1874,f1868,f2517,f1733,f1618,f1611,f1600,f2537,f2543,f2544,f1026,f15,f14,f13,f2509,f2493,f2448,f2440,f2374,f2351,f2348,f2338,f2334,f20,f2331,f2325,f2116,f1774,f1632,f19,f1209,f2829,f2831,f2833,f2835,f2837,f2839,f2841,f39,f37,f38,f31,f26,f25,f27,f33,f32,f1400,f1208,f1195,f1194,f1271,f1270,f898,f891,f817,f816,f803,f802,f750,f747,f17,f3354,f11,f3379,f48,f18,f3392,f12]) ).

fof(f3394,plain,
    ( spl0_2
    | spl0_7
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3393]) ).

fof(f3393,plain,
    ( $false
    | spl0_2
    | spl0_7
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f36,f30,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f10,f35,f34,f16,f8,f7,f5,f4,f9,f243,f420,f21,f244,f705,f695,f748,f766,f257,f782,f783,f787,f788,f777,f845,f813,f860,f799,f877,f878,f774,f934,f911,f778,f986,f999,f897,f1033,f1070,f1202,f1238,f1241,f1065,f1053,f1158,f1236,f1584,f1598,f1615,f1723,f1628,f1631,f1673,f1732,f1746,f1769,f1770,f1771,f1772,f1760,f1866,f1869,f1870,f1871,f1872,f1240,f1933,f1942,f1956,f1957,f1958,f1959,f1961,f1962,f1677,f2064,f2077,f2078,f2095,f2099,f2101,f1998,f2179,f2185,f2189,f2191,f1627,f2229,f2238,f2255,f2268,f2276,f1630,f2411,f2389,f2395,f2461,f2463,f2400,f2464,f2465,f2467,f2468,f2406,f2407,f2408,f2471,f2481,f2057,f1259,f2503,f2505,f2506,f1919,f1874,f1868,f2517,f1733,f1618,f1611,f1600,f2537,f2543,f2544,f1026,f15,f14,f13,f2509,f2493,f2448,f2440,f2374,f2351,f2348,f2338,f2334,f20,f2331,f2325,f2116,f1774,f1632,f19,f1209,f2829,f2831,f2833,f2835,f2837,f2839,f2841,f39,f37,f38,f31,f26,f25,f27,f33,f32,f1400,f1208,f1195,f1194,f1271,f1270,f898,f891,f817,f816,f803,f802,f750,f747,f17,f3354,f11,f3379,f12,f48,f18,f3392]) ).

fof(f3391,plain,
    ( spl0_2
    | spl0_3 ),
    inference(avatar_contradiction_clause,[],[f3390]) ).

fof(f3390,plain,
    ( $false
    | spl0_2
    | spl0_3 ),
    inference(global_subsumption,[],[f36,f30,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f10,f35,f34,f16,f8,f7,f5,f4,f9,f243,f420,f21,f244,f705,f695,f748,f766,f257,f782,f783,f787,f788,f777,f845,f813,f860,f799,f877,f878,f774,f934,f911,f778,f986,f999,f897,f1033,f1070,f1202,f1238,f1241,f1065,f1053,f1158,f1236,f1584,f1598,f1615,f1723,f1628,f1631,f1673,f1732,f1746,f1769,f1770,f1771,f1772,f1760,f1866,f1869,f1870,f1871,f1872,f1240,f1933,f1942,f1956,f1957,f1958,f1959,f1961,f1962,f1677,f2064,f2077,f2078,f2095,f2099,f2101,f1998,f2179,f2185,f2189,f2191,f1627,f2229,f2238,f2255,f2268,f2276,f1630,f2411,f2389,f2395,f2461,f2463,f2400,f2464,f2465,f2467,f2468,f2406,f2407,f2408,f2471,f2481,f2057,f1259,f2503,f2505,f2506,f1919,f1874,f1868,f2517,f1733,f1618,f1611,f1600,f2537,f2543,f2544,f1026,f15,f14,f13,f2509,f2493,f2448,f2440,f2374,f2351,f2348,f2338,f2334,f20,f2331,f2325,f2116,f1774,f1632,f19,f1209,f39,f37,f38,f31,f26,f25,f27,f33,f32,f1208,f1195,f1194,f1271,f1270,f898,f891,f817,f816,f803,f802,f750,f747,f3083,f3075,f3074,f3016,f3015,f3014,f2819,f2818,f2817,f2816,f425,f17,f3339,f11,f3371,f12,f48,f18]) ).

fof(f3371,plain,
    ( sk_c7 = multiply(sk_c3,sk_c8)
    | spl0_3 ),
    inference(global_subsumption,[],[f36,f18,f30,f12,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f10,f35,f34,f16,f8,f7,f5,f4,f9,f243,f420,f21,f244,f705,f695,f748,f766,f257,f782,f783,f787,f788,f777,f845,f813,f860,f799,f877,f878,f774,f934,f911,f778,f986,f999,f897,f1033,f1070,f1202,f1238,f1241,f1065,f1053,f1158,f1236,f1584,f1598,f1615,f1723,f1628,f1631,f1673,f1732,f1746,f1769,f1770,f1771,f1772,f1760,f1866,f1869,f1870,f1871,f1872,f1240,f1933,f1942,f1956,f1957,f1958,f1959,f1961,f1962,f1677,f2064,f2077,f2078,f2095,f2099,f2101,f1998,f2179,f2185,f2189,f2191,f1627,f2229,f2238,f2255,f2268,f2276,f1630,f2411,f2389,f2395,f2461,f2463,f2400,f2464,f2465,f2467,f2468,f2406,f2407,f2408,f2471,f2481,f2057,f1259,f2503,f2505,f2506,f1919,f1874,f1868,f2517,f1733,f1618,f1611,f1600,f2537,f2543,f2544,f1026,f15,f14,f13,f2509,f2493,f2448,f2440,f2374,f2351,f2348,f2338,f2334,f20,f2331,f2325,f2116,f1774,f1632,f19,f1209,f39,f37,f38,f31,f26,f25,f27,f33,f32,f1208,f1195,f1194,f1271,f1270,f898,f891,f817,f816,f803,f802,f750,f747,f3083,f3075,f3074,f3016,f3015,f3014,f2819,f2818,f2817,f2816,f425,f17,f3339,f11]) ).

fof(f3339,plain,
    ( sk_c7 = multiply(sk_c3,sk_c8)
    | spl0_3 ),
    inference(global_subsumption,[],[f36,f18,f30,f12,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f11,f10,f35,f34,f16,f8,f7,f5,f4,f9,f243,f420,f21,f244,f705,f695,f748,f766,f257,f782,f783,f787,f788,f777,f845,f813,f860,f799,f877,f878,f774,f934,f911,f778,f986,f999,f897,f1033,f1070,f1202,f1238,f1241,f1065,f1053,f1158,f1236,f1584,f1598,f1615,f1723,f1628,f1631,f1673,f1732,f1746,f1769,f1770,f1771,f1772,f1760,f1866,f1869,f1870,f1871,f1872,f1240,f1933,f1942,f1956,f1957,f1958,f1959,f1961,f1962,f1677,f2064,f2077,f2078,f2095,f2099,f2101,f1998,f2179,f2185,f2189,f2191,f1627,f2229,f2238,f2255,f2268,f2276,f1630,f2411,f2389,f2395,f2461,f2463,f2400,f2464,f2465,f2467,f2468,f2406,f2407,f2408,f2471,f2481,f2057,f1259,f2503,f2505,f2506,f1919,f1874,f1868,f2517,f1733,f1618,f1611,f1600,f2537,f2543,f2544,f1026,f15,f14,f13,f2509,f2493,f2448,f2440,f2374,f2351,f2348,f2338,f2334,f20,f2331,f2325,f2116,f1774,f1632,f19,f1209,f39,f37,f38,f31,f26,f25,f27,f33,f32,f1208,f1195,f1194,f1271,f1270,f898,f891,f817,f816,f803,f802,f750,f747,f3083,f3075,f3074,f3016,f3015,f3014,f2819,f2818,f2817,f2816,f425,f17]) ).

fof(f425,plain,
    ( sk_c8 != inverse(sk_c1)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f424]) ).

fof(f424,plain,
    ( spl0_3
  <=> sk_c8 = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f2816,plain,
    ( sk_c5 = multiply(sk_c4,sk_c8)
    | spl0_3 ),
    inference(global_subsumption,[],[f36,f18,f30,f12,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f11,f10,f35,f34,f17,f16,f8,f7,f5,f4,f9,f243,f420,f21,f244,f705,f695,f748,f766,f257,f782,f783,f787,f788,f777,f845,f813,f860,f799,f877,f878,f774,f934,f911,f778,f986,f999,f897,f1033,f1070,f1202,f1238,f1241,f1065,f1053,f1158,f32,f31,f26,f25,f38,f37,f33,f27,f39,f1236,f1584,f1598,f1615,f1723,f1628,f1631,f1673,f1732,f1746,f1769,f1770,f1771,f1772,f1760,f1866,f1869,f1870,f1871,f1872,f1240,f1933,f1942,f1956,f1957,f1958,f1959,f1961,f1962,f1677,f2064,f2077,f2078,f2095,f2099,f2101,f1998,f2179,f2185,f2189,f2191,f1627,f2229,f2238,f2255,f2268,f2276,f1630,f2411,f2389,f2395,f2461,f2463,f2400,f2464,f2465,f2467,f2468,f2406,f2407,f2408,f2448,f2440,f2471,f2374,f2351,f2348,f2338,f2334,f2331,f2325,f2481,f2116,f2493,f2057,f1259,f2503,f2505,f2506,f1919,f1874,f1868,f2509,f2517,f1733,f1774,f1618,f1611,f1600,f2537,f2543,f2544,f1632,f1026,f1209,f1208,f1195,f1194,f1271,f1270,f898,f891,f817,f816,f803,f802,f750,f747,f15,f13,f20,f19,f425,f14]) ).

fof(f2817,plain,
    ( sk_c7 = multiply(sk_c8,sk_c5)
    | spl0_3 ),
    inference(global_subsumption,[],[f36,f18,f30,f12,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f11,f10,f35,f34,f17,f16,f8,f7,f5,f4,f9,f243,f420,f21,f244,f705,f695,f748,f766,f257,f782,f783,f787,f788,f777,f845,f813,f860,f799,f877,f878,f774,f934,f911,f778,f986,f999,f897,f1033,f1070,f1202,f1238,f1241,f1065,f1053,f1158,f32,f31,f26,f25,f38,f37,f33,f27,f39,f1236,f1584,f1598,f1615,f1723,f1628,f1631,f1673,f1732,f1746,f1769,f1770,f1771,f1772,f1760,f1866,f1869,f1870,f1871,f1872,f1240,f1933,f1942,f1956,f1957,f1958,f1959,f1961,f1962,f1677,f2064,f2077,f2078,f2095,f2099,f2101,f1998,f2179,f2185,f2189,f2191,f1627,f2229,f2238,f2255,f2268,f2276,f1630,f2411,f2389,f2395,f2461,f2463,f2400,f2464,f2465,f2467,f2468,f2406,f2407,f2408,f2448,f2440,f2471,f2374,f2351,f2348,f2338,f2334,f2331,f2325,f2481,f2116,f2493,f2057,f1259,f2503,f2505,f2506,f1919,f1874,f1868,f2509,f2517,f1733,f1774,f1618,f1611,f1600,f2537,f2543,f2544,f1632,f1026,f1209,f1208,f1195,f1194,f1271,f1270,f898,f891,f817,f816,f803,f802,f750,f747,f15,f20,f19,f425,f14,f2816,f13]) ).

fof(f2818,plain,
    ( sk_c5 = multiply(sk_c4,sk_c8)
    | spl0_3 ),
    inference(global_subsumption,[],[f36,f18,f30,f12,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f11,f10,f35,f34,f17,f16,f8,f7,f5,f4,f9,f243,f420,f21,f244,f705,f695,f748,f766,f257,f782,f783,f787,f788,f777,f845,f813,f860,f799,f877,f878,f774,f934,f911,f778,f986,f999,f897,f1033,f1070,f1202,f1238,f1241,f1065,f1053,f1158,f32,f31,f26,f25,f38,f37,f33,f27,f39,f1236,f1584,f1598,f1615,f1723,f1628,f1631,f1673,f1732,f1746,f1769,f1770,f1771,f1772,f1760,f1866,f1869,f1870,f1871,f1872,f1240,f1933,f1942,f1956,f1957,f1958,f1959,f1961,f1962,f1677,f2064,f2077,f2078,f2095,f2099,f2101,f1998,f2179,f2185,f2189,f2191,f1627,f2229,f2238,f2255,f2268,f2276,f1630,f2411,f2389,f2395,f2461,f2463,f2400,f2464,f2465,f2467,f2468,f2406,f2407,f2408,f2471,f2331,f2325,f2481,f2116,f2057,f1259,f2503,f2505,f2506,f1919,f1874,f1868,f2517,f1733,f1774,f1618,f1611,f1600,f2537,f2543,f2544,f1632,f1026,f1209,f1208,f1195,f1194,f1271,f1270,f898,f891,f817,f816,f803,f802,f750,f747,f15,f19,f425,f14,f2816,f13,f2817,f2509,f2493,f2448,f2440,f2374,f2351,f2348,f2338,f2334,f20]) ).

fof(f2819,plain,
    ( sk_c7 = multiply(sk_c8,sk_c5)
    | spl0_3 ),
    inference(global_subsumption,[],[f36,f18,f30,f12,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f11,f10,f35,f34,f17,f16,f8,f7,f5,f4,f9,f243,f420,f21,f244,f705,f695,f748,f766,f257,f782,f783,f787,f788,f777,f845,f813,f860,f799,f877,f878,f774,f934,f911,f778,f986,f999,f897,f1033,f1070,f1202,f1238,f1241,f1065,f1053,f1158,f32,f31,f26,f25,f38,f37,f33,f27,f39,f1236,f1584,f1598,f1615,f1723,f1628,f1631,f1673,f1732,f1746,f1769,f1770,f1771,f1772,f1760,f1866,f1869,f1870,f1871,f1872,f1240,f1933,f1942,f1956,f1957,f1958,f1959,f1961,f1962,f1677,f2064,f2077,f2078,f2095,f2099,f2101,f1998,f2179,f2185,f2189,f2191,f1627,f2229,f2238,f2255,f2268,f2276,f1630,f2411,f2389,f2395,f2461,f2463,f2400,f2464,f2465,f2467,f2468,f2406,f2407,f2408,f2471,f2481,f2057,f1259,f2503,f2505,f2506,f1919,f1874,f1868,f2517,f1733,f1618,f1611,f1600,f2537,f2543,f2544,f1026,f1209,f1208,f1195,f1194,f1271,f1270,f898,f891,f817,f816,f803,f802,f750,f747,f15,f425,f14,f2816,f13,f2817,f2509,f2493,f2448,f2440,f2374,f2351,f2348,f2338,f2334,f20,f2818,f2331,f2325,f2116,f1774,f1632,f19]) ).

fof(f3014,plain,
    ( sk_c7 = multiply(sk_c8,sk_c5)
    | spl0_3 ),
    inference(global_subsumption,[],[f36,f18,f30,f12,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f11,f10,f35,f34,f17,f16,f8,f7,f5,f4,f9,f243,f420,f21,f244,f705,f695,f748,f766,f257,f782,f783,f787,f788,f777,f845,f813,f860,f799,f877,f878,f774,f934,f911,f778,f986,f999,f897,f1033,f1070,f1202,f1238,f1241,f1065,f1053,f1158,f32,f31,f26,f25,f38,f33,f27,f1236,f1584,f1598,f1615,f1723,f1628,f1631,f1673,f1732,f1746,f1769,f1770,f1771,f1772,f1760,f1866,f1869,f1870,f1871,f1872,f1240,f1933,f1942,f1956,f1957,f1958,f1959,f1961,f1962,f1677,f2064,f2077,f2078,f2095,f2099,f2101,f1998,f2179,f2185,f2189,f2191,f1627,f2229,f2238,f2255,f2268,f2276,f1630,f2411,f2389,f2395,f2461,f2463,f2400,f2464,f2465,f2467,f2468,f2406,f2407,f2408,f2471,f2481,f2057,f1259,f2503,f2505,f2506,f1919,f1874,f1868,f2517,f1733,f1618,f1611,f1600,f2537,f2543,f2544,f1026,f15,f14,f13,f2509,f2493,f2448,f2440,f2374,f2351,f2348,f2338,f2334,f20,f2331,f2325,f2116,f1774,f1632,f19,f1209,f1208,f1195,f1194,f1271,f1270,f898,f891,f817,f816,f803,f802,f750,f747,f2819,f2818,f2817,f2816,f425,f39,f37]) ).

fof(f3015,plain,
    ( sk_c5 = multiply(sk_c4,sk_c8)
    | spl0_3 ),
    inference(global_subsumption,[],[f36,f18,f30,f12,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f11,f10,f35,f34,f17,f16,f8,f7,f5,f4,f9,f243,f420,f21,f244,f705,f695,f748,f766,f257,f782,f783,f787,f788,f777,f845,f813,f860,f799,f877,f878,f774,f934,f911,f778,f986,f999,f897,f1033,f1070,f1202,f1238,f1241,f1065,f1053,f1158,f32,f31,f26,f25,f33,f27,f1236,f1584,f1598,f1615,f1723,f1628,f1631,f1673,f1732,f1746,f1769,f1770,f1771,f1772,f1760,f1866,f1869,f1870,f1871,f1872,f1240,f1933,f1942,f1956,f1957,f1958,f1959,f1961,f1962,f1677,f2064,f2077,f2078,f2095,f2099,f2101,f1998,f2179,f2185,f2189,f2191,f1627,f2229,f2238,f2255,f2268,f2276,f1630,f2411,f2389,f2395,f2461,f2463,f2400,f2464,f2465,f2467,f2468,f2406,f2407,f2408,f2471,f2481,f2057,f1259,f2503,f2505,f2506,f1919,f1874,f1868,f2517,f1733,f1618,f1611,f1600,f2537,f2543,f2544,f1026,f15,f14,f13,f2509,f2493,f2448,f2440,f2374,f2351,f2348,f2338,f2334,f20,f2331,f2325,f2116,f1774,f1632,f19,f1209,f1208,f1195,f1194,f1271,f1270,f898,f891,f817,f816,f803,f802,f750,f747,f2819,f2818,f2817,f2816,f425,f39,f37,f3014,f38]) ).

fof(f3016,plain,
    ( sk_c7 = multiply(sk_c8,sk_c5)
    | spl0_3 ),
    inference(global_subsumption,[],[f36,f18,f30,f12,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f11,f10,f35,f34,f17,f16,f8,f7,f5,f4,f9,f243,f420,f21,f244,f705,f695,f748,f766,f257,f782,f783,f787,f788,f777,f845,f813,f860,f799,f877,f878,f774,f934,f911,f778,f986,f999,f897,f1033,f1070,f1202,f1238,f1241,f1065,f1053,f1158,f32,f26,f25,f33,f27,f1236,f1584,f1598,f1615,f1723,f1628,f1631,f1673,f1732,f1746,f1769,f1770,f1771,f1772,f1760,f1866,f1869,f1870,f1871,f1872,f1240,f1933,f1942,f1956,f1957,f1958,f1959,f1961,f1962,f1677,f2064,f2077,f2078,f2095,f2099,f2101,f1998,f2179,f2185,f2189,f2191,f1627,f2229,f2238,f2255,f2268,f2276,f1630,f2411,f2389,f2395,f2461,f2463,f2400,f2464,f2465,f2467,f2468,f2406,f2407,f2408,f2471,f2481,f2057,f1259,f2503,f2505,f2506,f1919,f1874,f1868,f2517,f1733,f1618,f1611,f1600,f2537,f2543,f2544,f1026,f15,f14,f13,f2509,f2493,f2448,f2440,f2374,f2351,f2348,f2338,f2334,f20,f2331,f2325,f2116,f1774,f1632,f19,f1209,f1208,f1195,f1194,f1271,f1270,f898,f891,f817,f816,f803,f802,f750,f747,f2819,f2818,f2817,f2816,f425,f39,f37,f3014,f38,f3015,f31]) ).

fof(f3074,plain,
    ( sk_c5 = multiply(sk_c4,sk_c8)
    | spl0_3 ),
    inference(global_subsumption,[],[f36,f18,f30,f12,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f11,f10,f35,f34,f17,f16,f8,f7,f5,f4,f9,f243,f420,f21,f244,f705,f695,f748,f766,f257,f782,f783,f787,f788,f777,f845,f813,f860,f799,f877,f878,f774,f934,f911,f778,f986,f999,f897,f1033,f1070,f1202,f1238,f1241,f1065,f1053,f1158,f1236,f1584,f1598,f1615,f1723,f1628,f1631,f1673,f1732,f1746,f1769,f1770,f1771,f1772,f1760,f1866,f1869,f1870,f1871,f1872,f1240,f1933,f1942,f1956,f1957,f1958,f1959,f1961,f1962,f1677,f2064,f2077,f2078,f2095,f2099,f2101,f1998,f2179,f2185,f2189,f2191,f1627,f2229,f2238,f2255,f2268,f2276,f1630,f2411,f2389,f2395,f2461,f2463,f2400,f2464,f2465,f2467,f2468,f2406,f2407,f2408,f2471,f2481,f2057,f1259,f2503,f2505,f2506,f1919,f1874,f1868,f2517,f1733,f1618,f1611,f1600,f2537,f2543,f2544,f1026,f15,f14,f13,f2509,f2493,f2448,f2440,f2374,f2351,f2348,f2338,f2334,f20,f2331,f2325,f2116,f1774,f1632,f19,f1209,f1208,f1195,f1194,f1271,f1270,f898,f891,f817,f816,f803,f802,f750,f747,f2819,f2818,f2817,f2816,f425,f39,f37,f3014,f38,f3015,f31,f3016,f32,f33,f27,f25,f26]) ).

fof(f3075,plain,
    ( sk_c7 = multiply(sk_c8,sk_c5)
    | spl0_3 ),
    inference(global_subsumption,[],[f36,f18,f30,f12,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f11,f10,f35,f34,f17,f16,f8,f7,f5,f4,f9,f243,f420,f21,f244,f705,f695,f748,f766,f257,f782,f783,f787,f788,f777,f845,f813,f860,f799,f877,f878,f774,f934,f911,f778,f986,f999,f897,f1033,f1070,f1202,f1238,f1241,f1065,f1053,f1158,f1236,f1584,f1598,f1615,f1723,f1628,f1631,f1673,f1732,f1746,f1769,f1770,f1771,f1772,f1760,f1866,f1869,f1870,f1871,f1872,f1240,f1933,f1942,f1956,f1957,f1958,f1959,f1961,f1962,f1677,f2064,f2077,f2078,f2095,f2099,f2101,f1998,f2179,f2185,f2189,f2191,f1627,f2229,f2238,f2255,f2268,f2276,f1630,f2411,f2389,f2395,f2461,f2463,f2400,f2464,f2465,f2467,f2468,f2406,f2407,f2408,f2471,f2481,f2057,f1259,f2503,f2505,f2506,f1919,f1874,f1868,f2517,f1733,f1618,f1611,f1600,f2537,f2543,f2544,f1026,f15,f14,f13,f2509,f2493,f2448,f2440,f2374,f2351,f2348,f2338,f2334,f20,f2331,f2325,f2116,f1774,f1632,f19,f1209,f1208,f1195,f1194,f1271,f1270,f898,f891,f817,f816,f803,f802,f750,f747,f2819,f2818,f2817,f2816,f425,f39,f37,f3014,f38,f3015,f31,f3016,f32,f33,f27,f26,f3074,f25]) ).

fof(f3083,plain,
    ( sk_c5 = multiply(sk_c4,sk_c8)
    | spl0_3 ),
    inference(global_subsumption,[],[f36,f18,f30,f12,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f11,f10,f35,f34,f17,f16,f8,f7,f5,f4,f9,f243,f420,f21,f244,f705,f695,f748,f766,f257,f782,f783,f787,f788,f777,f845,f813,f860,f799,f877,f878,f774,f934,f911,f778,f986,f999,f897,f1033,f1070,f1202,f1238,f1241,f1065,f1053,f1158,f1236,f1584,f1598,f1615,f1723,f1628,f1631,f1673,f1732,f1746,f1769,f1770,f1771,f1772,f1760,f1866,f1869,f1870,f1871,f1872,f1240,f1933,f1942,f1956,f1957,f1958,f1959,f1961,f1962,f1677,f2064,f2077,f2078,f2095,f2099,f2101,f1998,f2179,f2185,f2189,f2191,f1627,f2229,f2238,f2255,f2268,f2276,f1630,f2411,f2389,f2395,f2461,f2463,f2400,f2464,f2465,f2467,f2468,f2406,f2407,f2408,f2471,f2481,f2057,f1259,f2503,f2505,f2506,f1919,f1874,f1868,f2517,f1733,f1618,f1611,f1600,f2537,f2543,f2544,f1026,f15,f14,f13,f2509,f2493,f2448,f2440,f2374,f2351,f2348,f2338,f2334,f20,f2331,f2325,f2116,f1774,f1632,f19,f1209,f1208,f1195,f1194,f1271,f1270,f898,f891,f817,f816,f803,f802,f750,f747,f2819,f2818,f2817,f2816,f425,f39,f37,f3014,f38,f3015,f31,f3016,f26,f3074,f25,f3075,f27,f33,f32]) ).

fof(f3389,plain,
    ( spl0_2
    | spl0_3 ),
    inference(avatar_contradiction_clause,[],[f3388]) ).

fof(f3388,plain,
    ( $false
    | spl0_2
    | spl0_3 ),
    inference(global_subsumption,[],[f36,f30,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f10,f35,f34,f16,f8,f7,f5,f4,f9,f243,f420,f21,f244,f705,f695,f748,f766,f257,f782,f783,f787,f788,f777,f845,f813,f860,f799,f877,f878,f774,f934,f911,f778,f986,f999,f897,f1033,f1070,f1202,f1238,f1241,f1065,f1053,f1158,f1236,f1584,f1598,f1615,f1723,f1628,f1631,f1673,f1732,f1746,f1769,f1770,f1771,f1772,f1760,f1866,f1869,f1870,f1871,f1872,f1240,f1933,f1942,f1956,f1957,f1958,f1959,f1961,f1962,f1677,f2064,f2077,f2078,f2095,f2099,f2101,f1998,f2179,f2185,f2189,f2191,f1627,f2229,f2238,f2255,f2268,f2276,f1630,f2411,f2389,f2395,f2461,f2463,f2400,f2464,f2465,f2467,f2468,f2406,f2407,f2408,f2471,f2481,f2057,f1259,f2503,f2505,f2506,f1919,f1874,f1868,f2517,f1733,f1618,f1611,f1600,f2537,f2543,f2544,f1026,f15,f14,f13,f2509,f2493,f2448,f2440,f2374,f2351,f2348,f2338,f2334,f20,f2331,f2325,f2116,f1774,f1632,f19,f1209,f39,f37,f38,f31,f26,f25,f27,f33,f32,f1208,f1195,f1194,f1271,f1270,f898,f891,f817,f816,f803,f802,f750,f747,f3083,f3075,f3074,f3016,f3015,f3014,f2819,f2818,f2817,f2816,f425,f17,f3339,f11,f3371,f12,f18,f48]) ).

fof(f3387,plain,
    ( spl0_2
    | spl0_3
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3386]) ).

fof(f3386,plain,
    ( $false
    | spl0_2
    | spl0_3
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f36,f30,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f10,f35,f34,f16,f8,f7,f5,f4,f9,f243,f420,f21,f244,f705,f695,f748,f766,f257,f782,f783,f787,f788,f777,f845,f813,f860,f799,f877,f878,f774,f934,f911,f778,f986,f999,f897,f1033,f1070,f1202,f1238,f1241,f1065,f1053,f1158,f1404,f1405,f1410,f1412,f1413,f1421,f1417,f1418,f1402,f1430,f1407,f1444,f1403,f1462,f1408,f1481,f1236,f1584,f1598,f1615,f1723,f1628,f1631,f1673,f1732,f1746,f1769,f1770,f1771,f1772,f1760,f1866,f1869,f1870,f1871,f1872,f1240,f1933,f1942,f1956,f1957,f1958,f1959,f1961,f1962,f1677,f2064,f2077,f2078,f2095,f2099,f2101,f1998,f2179,f2185,f2189,f2191,f1627,f2229,f2238,f2255,f2268,f2276,f1630,f2411,f2389,f2395,f2461,f2463,f2400,f2464,f2465,f2467,f2468,f2406,f2407,f2408,f2471,f2472,f2473,f2474,f2477,f2478,f2480,f2481,f2482,f2484,f2486,f2487,f2057,f1259,f2495,f2496,f2503,f2505,f2506,f1919,f1983,f2508,f1874,f1868,f2511,f1882,f1842,f2514,f1806,f2515,f2517,f1733,f2521,f2523,f1618,f1611,f2524,f1600,f2537,f1671,f2543,f2544,f1026,f2549,f1568,f2554,f2556,f1510,f1514,f1511,f1509,f2563,f2566,f15,f14,f13,f2509,f2493,f2448,f2440,f2374,f2351,f2348,f2338,f2334,f20,f2331,f2325,f2116,f1774,f1632,f19,f1209,f2829,f2831,f2832,f2833,f2834,f2835,f2836,f2837,f2838,f2839,f39,f37,f38,f31,f1396,f1409,f26,f25,f27,f33,f32,f1513,f1400,f1554,f1208,f1195,f1194,f1271,f1270,f898,f891,f817,f816,f803,f802,f750,f747,f3083,f3075,f3074,f3016,f3015,f3014,f2819,f2818,f2703,f2641,f2817,f2532,f3337,f1484,f1483,f1465,f1464,f3338,f2816,f3145,f425,f17,f3339,f3351,f3352,f3354,f3355,f3358,f3359,f11,f3371,f3376,f3377,f3379,f3380,f12,f3381,f3383,f3384,f18,f3385,f48]) ).

fof(f3385,plain,
    ( sk_c8 = inverse(sk_c3)
    | spl0_3
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f36,f30,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f10,f35,f34,f16,f8,f7,f5,f4,f9,f243,f420,f21,f244,f705,f695,f748,f766,f257,f782,f783,f787,f788,f777,f845,f813,f860,f799,f877,f878,f774,f934,f911,f778,f986,f999,f897,f1033,f1070,f1202,f1238,f1241,f1065,f1053,f1158,f1404,f1405,f1410,f1412,f1413,f1421,f1417,f1418,f1402,f1430,f1407,f1444,f1403,f1462,f1408,f1481,f1236,f1584,f1598,f1615,f1723,f1628,f1631,f1673,f1732,f1746,f1769,f1770,f1771,f1772,f1760,f1866,f1869,f1870,f1871,f1872,f1240,f1933,f1942,f1956,f1957,f1958,f1959,f1961,f1962,f1677,f2064,f2077,f2078,f2095,f2099,f2101,f1998,f2179,f2185,f2189,f2191,f1627,f2229,f2238,f2255,f2268,f2276,f1630,f2411,f2389,f2395,f2461,f2463,f2400,f2464,f2465,f2467,f2468,f2406,f2407,f2408,f2471,f2472,f2473,f2474,f2477,f2478,f2480,f2481,f2482,f2484,f2486,f2487,f2057,f1259,f2495,f2496,f2503,f2505,f2506,f1919,f1983,f2508,f1874,f1868,f2511,f1882,f1842,f2514,f1806,f2515,f2517,f1733,f2521,f2523,f1618,f1611,f2524,f1600,f2537,f1671,f2543,f2544,f1026,f2549,f1568,f2554,f2556,f1510,f1514,f1511,f1509,f2563,f2566,f15,f14,f13,f2509,f2493,f2448,f2440,f2374,f2351,f2348,f2338,f2334,f20,f2331,f2325,f2116,f1774,f1632,f19,f1209,f2829,f2831,f2832,f2833,f2834,f2835,f2836,f2837,f2838,f2839,f39,f37,f38,f31,f1396,f1409,f26,f25,f27,f33,f32,f1513,f1400,f1554,f1208,f1195,f1194,f1271,f1270,f898,f891,f817,f816,f803,f802,f750,f747,f3083,f3075,f3074,f3016,f3015,f3014,f2819,f2818,f2703,f2641,f2817,f2532,f3337,f1484,f1483,f1465,f1464,f3338,f2816,f3145,f425,f17,f3339,f3351,f3352,f3354,f3355,f3358,f3359,f11,f3371,f3376,f3377,f3379,f3380,f12,f3381,f3383,f3384,f18]) ).

fof(f3384,plain,
    ( sk_c8 = inverse(sk_c3)
    | spl0_3
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f36,f18,f30,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f10,f35,f34,f16,f8,f7,f5,f4,f9,f243,f420,f21,f244,f705,f695,f748,f766,f257,f782,f783,f787,f788,f777,f845,f813,f860,f799,f877,f878,f774,f934,f911,f778,f986,f999,f897,f1033,f1070,f1202,f1238,f1241,f1065,f1053,f1158,f1404,f1405,f1410,f1412,f1413,f1421,f1417,f1418,f1402,f1430,f1407,f1444,f1403,f1462,f1408,f1481,f1236,f1584,f1598,f1615,f1723,f1628,f1631,f1673,f1732,f1746,f1769,f1770,f1771,f1772,f1760,f1866,f1869,f1870,f1871,f1872,f1240,f1933,f1942,f1956,f1957,f1958,f1959,f1961,f1962,f1677,f2064,f2077,f2078,f2095,f2099,f2101,f1998,f2179,f2185,f2189,f2191,f1627,f2229,f2238,f2255,f2268,f2276,f1630,f2411,f2389,f2395,f2461,f2463,f2400,f2464,f2465,f2467,f2468,f2406,f2407,f2408,f2471,f2472,f2473,f2474,f2477,f2478,f2480,f2481,f2482,f2484,f2486,f2487,f2057,f1259,f2495,f2496,f2503,f2505,f2506,f1919,f1983,f2508,f1874,f1868,f2511,f1882,f1842,f2514,f1806,f2515,f2517,f1733,f2521,f2523,f1618,f1611,f2524,f1600,f2537,f1671,f2543,f2544,f1026,f2549,f1568,f2554,f2556,f1510,f1514,f1511,f1509,f2563,f2566,f15,f14,f13,f2509,f2493,f2448,f2440,f2374,f2351,f2348,f2338,f2334,f20,f2331,f2325,f2116,f1774,f1632,f19,f1209,f2829,f2831,f2832,f2833,f2834,f2835,f2836,f2837,f2838,f2839,f39,f37,f38,f31,f1396,f1409,f26,f25,f27,f33,f32,f1513,f1400,f1554,f1208,f1195,f1194,f1271,f1270,f898,f891,f817,f816,f803,f802,f750,f747,f3083,f3075,f3074,f3016,f3015,f3014,f2819,f2818,f2703,f2641,f2817,f2532,f3337,f1484,f1483,f1465,f1464,f3338,f2816,f3145,f425,f17,f3339,f3351,f3352,f3354,f3355,f3358,f3359,f11,f3371,f3376,f3377,f3379,f3380,f12,f3381,f3383]) ).

fof(f3383,plain,
    ( identity = inverse(identity)
    | sk_c8 = inverse(sk_c3)
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f3382,f1400]) ).

fof(f3382,plain,
    ( sk_c6 = inverse(identity)
    | sk_c8 = inverse(sk_c3)
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f36,f1554]) ).

fof(f3381,plain,
    ( sk_c8 = inverse(sk_c3)
    | spl0_3
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f36,f18,f30,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f10,f35,f34,f16,f8,f7,f5,f4,f9,f243,f420,f21,f244,f705,f695,f748,f766,f257,f782,f783,f787,f788,f777,f845,f813,f860,f799,f877,f878,f774,f934,f911,f778,f986,f999,f897,f1033,f1070,f1202,f1238,f1241,f1065,f1053,f1158,f1404,f1405,f1410,f1412,f1413,f1421,f1417,f1418,f1402,f1430,f1407,f1444,f1403,f1462,f1408,f1481,f1236,f1584,f1598,f1615,f1723,f1628,f1631,f1673,f1732,f1746,f1769,f1770,f1771,f1772,f1760,f1866,f1869,f1870,f1871,f1872,f1240,f1933,f1942,f1956,f1957,f1958,f1959,f1961,f1962,f1677,f2064,f2077,f2078,f2095,f2099,f2101,f1998,f2179,f2185,f2189,f2191,f1627,f2229,f2238,f2255,f2268,f2276,f1630,f2411,f2389,f2395,f2461,f2463,f2400,f2464,f2465,f2467,f2468,f2406,f2407,f2408,f2471,f2472,f2473,f2474,f2477,f2478,f2480,f2481,f2482,f2484,f2486,f2487,f2057,f1259,f2495,f2496,f2503,f2505,f2506,f1919,f1983,f2508,f1874,f1868,f2511,f1882,f1842,f2514,f1806,f2515,f2517,f1733,f2521,f2523,f1618,f1611,f2524,f1600,f2537,f1671,f2543,f2544,f1026,f2549,f1568,f2554,f2556,f1510,f1514,f1511,f1509,f2563,f2566,f15,f14,f13,f2509,f2493,f2448,f2440,f2374,f2351,f2348,f2338,f2334,f20,f2331,f2325,f2116,f1774,f1632,f19,f1209,f2829,f2831,f2832,f2833,f2834,f2835,f2836,f2837,f2838,f2839,f39,f37,f38,f31,f1396,f1409,f26,f25,f27,f33,f32,f1513,f1400,f1554,f1208,f1195,f1194,f1271,f1270,f898,f891,f817,f816,f803,f802,f750,f747,f3083,f3075,f3074,f3016,f3015,f3014,f2819,f2818,f2703,f2641,f2817,f2532,f3337,f1484,f1483,f1465,f1464,f3338,f2816,f3145,f425,f17,f3339,f3351,f3352,f3354,f3355,f3358,f3359,f11,f3371,f3376,f3377,f3379,f3380,f12]) ).

fof(f3380,plain,
    ( sk_c8 = inverse(sk_c3)
    | spl0_3
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f36,f18,f30,f12,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f10,f35,f34,f16,f8,f7,f5,f4,f9,f243,f420,f21,f244,f705,f695,f748,f766,f257,f782,f783,f787,f788,f777,f845,f813,f860,f799,f877,f878,f774,f934,f911,f778,f986,f999,f897,f1033,f1070,f1202,f1238,f1241,f1065,f1053,f1158,f1404,f1405,f1410,f1412,f1413,f1421,f1417,f1418,f1402,f1430,f1407,f1444,f1403,f1462,f1408,f1481,f1236,f1584,f1598,f1615,f1723,f1628,f1631,f1673,f1732,f1746,f1769,f1770,f1771,f1772,f1760,f1866,f1869,f1870,f1871,f1872,f1240,f1933,f1942,f1956,f1957,f1958,f1959,f1961,f1962,f1677,f2064,f2077,f2078,f2095,f2099,f2101,f1998,f2179,f2185,f2189,f2191,f1627,f2229,f2238,f2255,f2268,f2276,f1630,f2411,f2389,f2395,f2461,f2463,f2400,f2464,f2465,f2467,f2468,f2406,f2407,f2408,f2471,f2472,f2473,f2474,f2477,f2478,f2480,f2481,f2482,f2484,f2486,f2487,f2057,f1259,f2495,f2496,f2503,f2505,f2506,f1919,f1983,f2508,f1874,f1868,f2511,f1882,f1842,f2514,f1806,f2515,f2517,f1733,f2521,f2523,f1618,f1611,f2524,f1600,f2537,f1671,f2543,f2544,f1026,f2549,f1568,f2554,f2556,f1510,f1514,f1511,f1509,f2563,f2566,f15,f14,f13,f2509,f2493,f2448,f2440,f2374,f2351,f2348,f2338,f2334,f20,f2331,f2325,f2116,f1774,f1632,f19,f1209,f2829,f2831,f2832,f2833,f2834,f2835,f2836,f2837,f2838,f2839,f39,f37,f38,f31,f1396,f1409,f26,f25,f27,f33,f32,f1513,f1400,f1554,f1208,f1195,f1194,f1271,f1270,f898,f891,f817,f816,f803,f802,f750,f747,f3083,f3075,f3074,f3016,f3015,f3014,f2819,f2818,f2703,f2641,f2817,f2532,f3337,f1484,f1483,f1465,f1464,f3338,f2816,f3145,f425,f17,f3339,f3351,f3352,f3354,f3355,f3358,f3359,f11,f3371,f3376,f3377,f3379]) ).

fof(f3377,plain,
    ( sk_c8 = inverse(sk_c3)
    | spl0_3
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f3376,f36,f18,f30,f12,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f10,f35,f34,f16,f8,f7,f5,f4,f9,f243,f420,f21,f244,f705,f695,f748,f766,f257,f782,f783,f787,f788,f777,f845,f813,f860,f799,f877,f878,f774,f934,f911,f778,f986,f999,f897,f1033,f1070,f1202,f1238,f1241,f1065,f1053,f1158,f1236,f1584,f1598,f1615,f1723,f1628,f1631,f1673,f1732,f1746,f1769,f1770,f1771,f1772,f1760,f1866,f1869,f1870,f1871,f1872,f1240,f1933,f1942,f1956,f1957,f1958,f1959,f1961,f1962,f1677,f2064,f2077,f2078,f2095,f2099,f2101,f1998,f2179,f2185,f2189,f2191,f1627,f2229,f2238,f2255,f2268,f2276,f1630,f2411,f2389,f2395,f2461,f2463,f2400,f2464,f2465,f2467,f2468,f2406,f2407,f2408,f2471,f2481,f2057,f1259,f2503,f2505,f2506,f1919,f1874,f1868,f2517,f1733,f1618,f1611,f1600,f2537,f2543,f2544,f1026,f15,f14,f13,f2509,f2493,f2448,f2440,f2374,f2351,f2348,f2338,f2334,f20,f2331,f2325,f2116,f1774,f1632,f19,f1209,f39,f37,f38,f31,f26,f25,f27,f33,f32,f1208,f1195,f1194,f1271,f1270,f898,f891,f817,f816,f803,f802,f750,f747,f3083,f3075,f3074,f3016,f3015,f3014,f2819,f2818,f2817,f2816,f425,f17,f3339,f11,f3371]) ).

fof(f3376,plain,
    ( identity = sk_c7
    | sk_c8 = inverse(sk_c3)
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f3375,f1]) ).

fof(f3375,plain,
    ( sk_c7 = multiply(identity,identity)
    | sk_c8 = inverse(sk_c3)
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f3374,f1554]) ).

fof(f3359,plain,
    ( sk_c7 = multiply(sk_c3,sk_c8)
    | spl0_3
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f3358,f36,f18,f30,f12,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f11,f10,f35,f34,f16,f8,f7,f5,f4,f9,f243,f420,f21,f244,f705,f695,f748,f766,f257,f782,f783,f787,f788,f777,f845,f813,f860,f799,f877,f878,f774,f934,f911,f778,f986,f999,f897,f1033,f1070,f1202,f1238,f1241,f1065,f1053,f1158,f1236,f1584,f1598,f1615,f1723,f1628,f1631,f1673,f1732,f1746,f1769,f1770,f1771,f1772,f1760,f1866,f1869,f1870,f1871,f1872,f1240,f1933,f1942,f1956,f1957,f1958,f1959,f1961,f1962,f1677,f2064,f2077,f2078,f2095,f2099,f2101,f1998,f2179,f2185,f2189,f2191,f1627,f2229,f2238,f2255,f2268,f2276,f1630,f2411,f2389,f2395,f2461,f2463,f2400,f2464,f2465,f2467,f2468,f2406,f2407,f2408,f2471,f2481,f2057,f1259,f2503,f2505,f2506,f1919,f1874,f1868,f2517,f1733,f1618,f1611,f1600,f2537,f2543,f2544,f1026,f15,f14,f13,f2509,f2493,f2448,f2440,f2374,f2351,f2348,f2338,f2334,f20,f2331,f2325,f2116,f1774,f1632,f19,f1209,f39,f37,f38,f31,f26,f25,f27,f33,f32,f1208,f1195,f1194,f1271,f1270,f898,f891,f817,f816,f803,f802,f750,f747,f3083,f3075,f3074,f3016,f3015,f3014,f2819,f2818,f2817,f2816,f425,f17,f3339]) ).

fof(f3358,plain,
    ( identity = sk_c7
    | sk_c7 = multiply(sk_c3,sk_c8)
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f3357,f1]) ).

fof(f3357,plain,
    ( sk_c7 = multiply(identity,identity)
    | sk_c7 = multiply(sk_c3,sk_c8)
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f3356,f1554]) ).

fof(f3355,plain,
    ( sk_c7 = multiply(sk_c3,sk_c8)
    | spl0_3
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f3354,f36,f18,f30,f12,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f11,f10,f35,f34,f16,f8,f7,f5,f4,f9,f243,f420,f21,f244,f705,f695,f748,f766,f257,f782,f783,f787,f788,f777,f845,f813,f860,f799,f877,f878,f774,f934,f911,f778,f986,f999,f897,f1033,f1070,f1202,f1238,f1241,f1065,f1053,f1158,f1236,f1584,f1598,f1615,f1723,f1628,f1631,f1673,f1732,f1746,f1769,f1770,f1771,f1772,f1760,f1866,f1869,f1870,f1871,f1872,f1240,f1933,f1942,f1956,f1957,f1958,f1959,f1961,f1962,f1677,f2064,f2077,f2078,f2095,f2099,f2101,f1998,f2179,f2185,f2189,f2191,f1627,f2229,f2238,f2255,f2268,f2276,f1630,f2411,f2389,f2395,f2461,f2463,f2400,f2464,f2465,f2467,f2468,f2406,f2407,f2408,f2471,f2481,f2057,f1259,f2503,f2505,f2506,f1919,f1874,f1868,f2517,f1733,f1618,f1611,f1600,f2537,f2543,f2544,f1026,f15,f14,f13,f2509,f2493,f2448,f2440,f2374,f2351,f2348,f2338,f2334,f20,f2331,f2325,f2116,f1774,f1632,f19,f1209,f39,f37,f38,f31,f26,f25,f27,f33,f32,f1208,f1195,f1194,f1271,f1270,f898,f891,f817,f816,f803,f802,f750,f747,f3083,f3075,f3074,f3016,f3015,f3014,f2819,f2818,f2817,f2816,f425,f17,f3339]) ).

fof(f3352,plain,
    ( sk_c7 = multiply(sk_c3,sk_c8)
    | spl0_3
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f3351,f36,f18,f30,f12,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f11,f10,f35,f34,f16,f8,f7,f5,f4,f9,f243,f420,f21,f244,f705,f695,f748,f766,f257,f782,f783,f787,f788,f777,f845,f813,f860,f799,f877,f878,f774,f934,f911,f778,f986,f999,f897,f1033,f1070,f1202,f1238,f1241,f1065,f1053,f1158,f1236,f1584,f1598,f1615,f1723,f1628,f1631,f1673,f1732,f1746,f1769,f1770,f1771,f1772,f1760,f1866,f1869,f1870,f1871,f1872,f1240,f1933,f1942,f1956,f1957,f1958,f1959,f1961,f1962,f1677,f2064,f2077,f2078,f2095,f2099,f2101,f1998,f2179,f2185,f2189,f2191,f1627,f2229,f2238,f2255,f2268,f2276,f1630,f2411,f2389,f2395,f2461,f2463,f2400,f2464,f2465,f2467,f2468,f2406,f2407,f2408,f2471,f2481,f2057,f1259,f2503,f2505,f2506,f1919,f1874,f1868,f2517,f1733,f1618,f1611,f1600,f2537,f2543,f2544,f1026,f15,f14,f13,f2509,f2493,f2448,f2440,f2374,f2351,f2348,f2338,f2334,f20,f2331,f2325,f2116,f1774,f1632,f19,f1209,f39,f37,f38,f31,f26,f25,f27,f33,f32,f1208,f1195,f1194,f1271,f1270,f898,f891,f817,f816,f803,f802,f750,f747,f3083,f3075,f3074,f3016,f3015,f3014,f2819,f2818,f2817,f2816,f425,f17,f3339]) ).

fof(f3351,plain,
    ( identity = inverse(identity)
    | sk_c7 = multiply(sk_c3,sk_c8)
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f3350,f1400]) ).

fof(f3350,plain,
    ( sk_c6 = inverse(identity)
    | sk_c7 = multiply(sk_c3,sk_c8)
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f35,f1554]) ).

fof(f3145,plain,
    ( identity = inverse(identity)
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f3144,f1400]) ).

fof(f3144,plain,
    ( sk_c6 = inverse(identity)
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1396,f1554]) ).

fof(f3338,plain,
    ( identity = inverse(identity)
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f3195,f1554]) ).

fof(f3195,plain,
    ( sk_c2 = inverse(identity)
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1409,f1400]) ).

fof(f1464,plain,
    ( identity = inverse(identity)
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f1457,f1402]) ).

fof(f1457,plain,
    ( identity = inverse(multiply(sk_c6,sk_c2))
    | ~ spl0_7 ),
    inference(superposition,[],[f1403,f897]) ).

fof(f1465,plain,
    ( identity = inverse(identity)
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f1458,f1402]) ).

fof(f1458,plain,
    ( identity = inverse(multiply(sk_c6,sk_c2))
    | ~ spl0_7 ),
    inference(superposition,[],[f897,f1403]) ).

fof(f1483,plain,
    ( identity = inverse(identity)
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f1476,f1407]) ).

fof(f1476,plain,
    ( identity = inverse(multiply(sk_c2,sk_c6))
    | ~ spl0_7 ),
    inference(superposition,[],[f1408,f897]) ).

fof(f1484,plain,
    ( identity = inverse(identity)
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f1477,f1407]) ).

fof(f1477,plain,
    ( identity = inverse(multiply(sk_c2,sk_c6))
    | ~ spl0_7 ),
    inference(superposition,[],[f897,f1408]) ).

fof(f3337,plain,
    ( identity = inverse(identity)
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1513,f1554]) ).

fof(f2532,plain,
    ( identity = inverse(identity)
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2531,f1400]) ).

fof(f2531,plain,
    ( sk_c6 = inverse(identity)
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2530,f1396]) ).

fof(f2530,plain,
    ( inverse(sk_c2) = inverse(identity)
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2529,f1]) ).

fof(f2529,plain,
    ( inverse(sk_c2) = multiply(identity,inverse(identity))
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1605,f1400]) ).

fof(f1605,plain,
    ( inverse(sk_c2) = multiply(sk_c6,inverse(identity))
    | ~ spl0_7 ),
    inference(superposition,[],[f1236,f1407]) ).

fof(f2641,plain,
    ( identity = inverse(identity)
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2634,f1400]) ).

fof(f2634,plain,
    ( sk_c6 = inverse(identity)
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(superposition,[],[f1396,f1554]) ).

fof(f2703,plain,
    ( identity = inverse(identity)
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1671,f1554]) ).

fof(f1513,plain,
    ( sk_c2 = inverse(identity)
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(superposition,[],[f1409,f1400]) ).

fof(f1409,plain,
    ( sk_c2 = inverse(sk_c6)
    | ~ spl0_7 ),
    inference(superposition,[],[f799,f1396]) ).

fof(f2838,plain,
    ( sk_c7 = multiply(sk_c8,sk_c5)
    | spl0_3
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f2837,f36,f18,f30,f12,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f11,f10,f35,f34,f17,f16,f8,f7,f5,f4,f9,f243,f420,f21,f244,f705,f695,f748,f766,f257,f782,f783,f787,f788,f777,f845,f813,f860,f799,f877,f878,f774,f934,f911,f778,f986,f999,f897,f1033,f1070,f1202,f1238,f1241,f1065,f1053,f1158,f32,f31,f26,f25,f38,f37,f33,f27,f39,f1236,f1584,f1598,f1615,f1723,f1628,f1631,f1673,f1732,f1746,f1769,f1770,f1771,f1772,f1760,f1866,f1869,f1870,f1871,f1872,f1240,f1933,f1942,f1956,f1957,f1958,f1959,f1961,f1962,f1677,f2064,f2077,f2078,f2095,f2099,f2101,f1998,f2179,f2185,f2189,f2191,f1627,f2229,f2238,f2255,f2268,f2276,f1630,f2411,f2389,f2395,f2461,f2463,f2400,f2464,f2465,f2467,f2468,f2406,f2407,f2408,f2471,f2481,f2057,f1259,f2503,f2505,f2506,f1919,f1874,f1868,f2517,f1733,f1618,f1611,f1600,f2537,f2543,f2544,f1026,f15,f14,f2816,f13,f2817,f2509,f2493,f2448,f2440,f2374,f2351,f2348,f2338,f2334,f20,f2818,f2331,f2325,f2116,f1774,f1632,f19,f2819,f1209,f1208,f1195,f1194,f1271,f1270,f898,f891,f817,f816,f803,f802,f750,f747,f425]) ).

fof(f2836,plain,
    ( sk_c5 = multiply(sk_c4,sk_c8)
    | spl0_3
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f2835,f36,f18,f30,f12,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f11,f10,f35,f34,f17,f16,f8,f7,f5,f4,f9,f243,f420,f21,f244,f705,f695,f748,f766,f257,f782,f783,f787,f788,f777,f845,f813,f860,f799,f877,f878,f774,f934,f911,f778,f986,f999,f897,f1033,f1070,f1202,f1238,f1241,f1065,f1053,f1158,f32,f31,f26,f25,f38,f37,f33,f27,f39,f1236,f1584,f1598,f1615,f1723,f1628,f1631,f1673,f1732,f1746,f1769,f1770,f1771,f1772,f1760,f1866,f1869,f1870,f1871,f1872,f1240,f1933,f1942,f1956,f1957,f1958,f1959,f1961,f1962,f1677,f2064,f2077,f2078,f2095,f2099,f2101,f1998,f2179,f2185,f2189,f2191,f1627,f2229,f2238,f2255,f2268,f2276,f1630,f2411,f2389,f2395,f2461,f2463,f2400,f2464,f2465,f2467,f2468,f2406,f2407,f2408,f2471,f2481,f2057,f1259,f2503,f2505,f2506,f1919,f1874,f1868,f2517,f1733,f1618,f1611,f1600,f2537,f2543,f2544,f1026,f15,f14,f2816,f13,f2817,f2509,f2493,f2448,f2440,f2374,f2351,f2348,f2338,f2334,f20,f2818,f2331,f2325,f2116,f1774,f1632,f19,f2819,f1209,f1208,f1195,f1194,f1271,f1270,f898,f891,f817,f816,f803,f802,f750,f747,f425]) ).

fof(f2834,plain,
    ( sk_c7 = multiply(sk_c8,sk_c5)
    | spl0_3
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f2833,f36,f18,f30,f12,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f11,f10,f35,f34,f17,f16,f8,f7,f5,f4,f9,f243,f420,f21,f244,f705,f695,f748,f766,f257,f782,f783,f787,f788,f777,f845,f813,f860,f799,f877,f878,f774,f934,f911,f778,f986,f999,f897,f1033,f1070,f1202,f1238,f1241,f1065,f1053,f1158,f32,f31,f26,f25,f38,f37,f33,f27,f39,f1236,f1584,f1598,f1615,f1723,f1628,f1631,f1673,f1732,f1746,f1769,f1770,f1771,f1772,f1760,f1866,f1869,f1870,f1871,f1872,f1240,f1933,f1942,f1956,f1957,f1958,f1959,f1961,f1962,f1677,f2064,f2077,f2078,f2095,f2099,f2101,f1998,f2179,f2185,f2189,f2191,f1627,f2229,f2238,f2255,f2268,f2276,f1630,f2411,f2389,f2395,f2461,f2463,f2400,f2464,f2465,f2467,f2468,f2406,f2407,f2408,f2471,f2481,f2057,f1259,f2503,f2505,f2506,f1919,f1874,f1868,f2517,f1733,f1618,f1611,f1600,f2537,f2543,f2544,f1026,f15,f14,f2816,f13,f2817,f2509,f2493,f2448,f2440,f2374,f2351,f2348,f2338,f2334,f20,f2818,f2331,f2325,f2116,f1774,f1632,f19,f2819,f1209,f1208,f1195,f1194,f1271,f1270,f898,f891,f817,f816,f803,f802,f750,f747,f425]) ).

fof(f2832,plain,
    ( sk_c5 = multiply(sk_c4,sk_c8)
    | spl0_3
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f2831,f36,f18,f30,f12,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f11,f10,f35,f34,f17,f16,f8,f7,f5,f4,f9,f243,f420,f21,f244,f705,f695,f748,f766,f257,f782,f783,f787,f788,f777,f845,f813,f860,f799,f877,f878,f774,f934,f911,f778,f986,f999,f897,f1033,f1070,f1202,f1238,f1241,f1065,f1053,f1158,f32,f31,f26,f25,f38,f37,f33,f27,f39,f1236,f1584,f1598,f1615,f1723,f1628,f1631,f1673,f1732,f1746,f1769,f1770,f1771,f1772,f1760,f1866,f1869,f1870,f1871,f1872,f1240,f1933,f1942,f1956,f1957,f1958,f1959,f1961,f1962,f1677,f2064,f2077,f2078,f2095,f2099,f2101,f1998,f2179,f2185,f2189,f2191,f1627,f2229,f2238,f2255,f2268,f2276,f1630,f2411,f2389,f2395,f2461,f2463,f2400,f2464,f2465,f2467,f2468,f2406,f2407,f2408,f2471,f2481,f2057,f1259,f2503,f2505,f2506,f1919,f1874,f1868,f2517,f1733,f1618,f1611,f1600,f2537,f2543,f2544,f1026,f15,f14,f2816,f13,f2817,f2509,f2493,f2448,f2440,f2374,f2351,f2348,f2338,f2334,f20,f2818,f2331,f2325,f2116,f1774,f1632,f19,f2819,f1209,f1208,f1195,f1194,f1271,f1270,f898,f891,f817,f816,f803,f802,f750,f747,f425]) ).

fof(f2566,plain,
    ( identity = multiply(identity,multiply(sk_c2,inverse(identity)))
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1424,f1400]) ).

fof(f1424,plain,
    ( identity = multiply(sk_c6,multiply(sk_c2,inverse(identity)))
    | ~ spl0_7 ),
    inference(superposition,[],[f897,f1402]) ).

fof(f2563,plain,
    ( identity = multiply(sk_c2,inverse(identity))
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2562,f1]) ).

fof(f2562,plain,
    ( identity = multiply(sk_c2,multiply(identity,inverse(identity)))
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1438,f1400]) ).

fof(f1438,plain,
    ( identity = multiply(sk_c2,multiply(sk_c6,inverse(identity)))
    | ~ spl0_7 ),
    inference(superposition,[],[f897,f1407]) ).

fof(f1509,plain,
    ( identity = multiply(identity,sk_c2)
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(superposition,[],[f1402,f1400]) ).

fof(f1511,plain,
    ( identity = multiply(sk_c2,identity)
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(superposition,[],[f1407,f1400]) ).

fof(f1514,plain,
    ( ! [X0] : multiply(sk_c2,X0) = X0
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1512,f1]) ).

fof(f1512,plain,
    ( ! [X0] : multiply(sk_c2,multiply(identity,X0)) = X0
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(superposition,[],[f1408,f1400]) ).

fof(f1510,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c2,X0)) = X0
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(superposition,[],[f1403,f1400]) ).

fof(f2556,plain,
    ( ! [X0] : identity = multiply(X0,inverse(multiply(sk_c2,X0)))
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1462,f1400]) ).

fof(f2554,plain,
    ( identity = sk_c7
    | sk_c8 = inverse(sk_c4)
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f33,f1407]) ).

fof(f1568,plain,
    ( identity = sk_c7
    | sk_c7 = multiply(sk_c8,sk_c5)
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f31,f1407]) ).

fof(f2549,plain,
    ( identity = sk_c7
    | sk_c5 = multiply(sk_c4,sk_c8)
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f32,f1407]) ).

fof(f1671,plain,
    ( identity = inverse(sk_c2)
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1670,f774]) ).

fof(f1670,plain,
    ( ! [X0] : inverse(sk_c2) = multiply(X0,inverse(X0))
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1669,f1]) ).

fof(f1669,plain,
    ( ! [X0] : inverse(sk_c2) = multiply(multiply(identity,X0),inverse(X0))
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1596,f1400]) ).

fof(f1596,plain,
    ( ! [X0] : inverse(sk_c2) = multiply(multiply(sk_c6,X0),inverse(X0))
    | ~ spl0_7 ),
    inference(superposition,[],[f1236,f1408]) ).

fof(f2524,plain,
    ( sk_c2 = multiply(sk_c2,inverse(identity))
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f1609,f1409]) ).

fof(f1609,plain,
    ( inverse(sk_c6) = multiply(sk_c2,inverse(identity))
    | ~ spl0_7 ),
    inference(superposition,[],[f1236,f1402]) ).

fof(f2523,plain,
    ( ! [X0] : inverse(X0) = multiply(sk_c2,inverse(X0))
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1712,f777]) ).

fof(f1712,plain,
    ( ! [X0] : inverse(multiply(X0,identity)) = multiply(sk_c2,inverse(X0))
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1622,f1400]) ).

fof(f1622,plain,
    ( ! [X0] : multiply(sk_c2,inverse(X0)) = inverse(multiply(X0,sk_c6))
    | ~ spl0_7 ),
    inference(superposition,[],[f1408,f1236]) ).

fof(f2521,plain,
    ( ! [X0] : inverse(X0) = inverse(multiply(X0,sk_c2))
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1720,f1]) ).

fof(f1720,plain,
    ( ! [X0] : multiply(identity,inverse(X0)) = inverse(multiply(X0,sk_c2))
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1625,f1400]) ).

fof(f1625,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c2)) = multiply(sk_c6,inverse(X0))
    | ~ spl0_7 ),
    inference(superposition,[],[f1403,f1236]) ).

fof(f2515,plain,
    ( ! [X0] : identity = multiply(X0,inverse(multiply(sk_c2,X0)))
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1743,f1400]) ).

fof(f1743,plain,
    ( ! [X0] : sk_c6 = multiply(X0,inverse(multiply(sk_c2,X0)))
    | ~ spl0_7 ),
    inference(superposition,[],[f1673,f1403]) ).

fof(f1806,plain,
    ( identity = sk_c2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1805,f774]) ).

fof(f1805,plain,
    ( ! [X0] : sk_c2 = multiply(X0,inverse(X0))
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1804,f1]) ).

fof(f1804,plain,
    ( ! [X0] : sk_c2 = multiply(X0,inverse(multiply(identity,X0)))
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1744,f1400]) ).

fof(f1744,plain,
    ( ! [X0] : sk_c2 = multiply(X0,inverse(multiply(sk_c6,X0)))
    | ~ spl0_7 ),
    inference(superposition,[],[f1673,f1408]) ).

fof(f2514,plain,
    ( ! [X0] : multiply(X0,sk_c2) = X0
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2513,f777]) ).

fof(f2513,plain,
    ( ! [X0] : multiply(multiply(X0,identity),sk_c2) = X0
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1763,f1400]) ).

fof(f1763,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c6),sk_c2) = X0
    | ~ spl0_7 ),
    inference(superposition,[],[f1673,f1409]) ).

fof(f1842,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c2),identity) = X0
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1767,f1400]) ).

fof(f1767,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c2),sk_c6) = X0
    | ~ spl0_7 ),
    inference(superposition,[],[f1673,f1396]) ).

fof(f1882,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c2),identity) = X0
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1851,f1400]) ).

fof(f1851,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c2),sk_c6) = X0
    | ~ spl0_7 ),
    inference(superposition,[],[f1760,f1409]) ).

fof(f2511,plain,
    ( ! [X0] : multiply(X0,sk_c2) = X0
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2510,f777]) ).

fof(f2510,plain,
    ( ! [X0] : multiply(multiply(X0,identity),sk_c2) = X0
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1855,f1400]) ).

fof(f1855,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c6),sk_c2) = X0
    | ~ spl0_7 ),
    inference(superposition,[],[f1760,f1396]) ).

fof(f2508,plain,
    ( ! [X0] : identity = multiply(X0,inverse(multiply(sk_c2,X0)))
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1914,f1400]) ).

fof(f1914,plain,
    ( ! [X0] : sk_c6 = multiply(X0,inverse(multiply(sk_c2,X0)))
    | ~ spl0_7 ),
    inference(superposition,[],[f1240,f1409]) ).

fof(f1983,plain,
    ( identity = sk_c2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1982,f774]) ).

fof(f1982,plain,
    ( ! [X0] : sk_c2 = multiply(X0,inverse(X0))
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1981,f1]) ).

fof(f1981,plain,
    ( ! [X0] : sk_c2 = multiply(X0,inverse(multiply(identity,X0)))
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1918,f1400]) ).

fof(f1918,plain,
    ( ! [X0] : sk_c2 = multiply(X0,inverse(multiply(sk_c6,X0)))
    | ~ spl0_7 ),
    inference(superposition,[],[f1240,f1396]) ).

fof(f2496,plain,
    ( ! [X0] : multiply(sk_c2,X0) = X0
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2022,f799]) ).

fof(f2022,plain,
    ( ! [X0] : inverse(inverse(X0)) = multiply(sk_c2,X0)
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2021,f777]) ).

fof(f2021,plain,
    ( ! [X0] : multiply(sk_c2,X0) = inverse(multiply(inverse(X0),identity))
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1951,f1400]) ).

fof(f1951,plain,
    ( ! [X0] : multiply(sk_c2,X0) = inverse(multiply(inverse(X0),sk_c6))
    | ~ spl0_7 ),
    inference(superposition,[],[f1408,f1240]) ).

fof(f2495,plain,
    ( ! [X0] : inverse(multiply(inverse(X0),sk_c2)) = X0
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2494,f1]) ).

fof(f2494,plain,
    ( ! [X0] : multiply(identity,X0) = inverse(multiply(inverse(X0),sk_c2))
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1954,f1400]) ).

fof(f1954,plain,
    ( ! [X0] : multiply(sk_c6,X0) = inverse(multiply(inverse(X0),sk_c2))
    | ~ spl0_7 ),
    inference(superposition,[],[f1403,f1240]) ).

fof(f2487,plain,
    ( ! [X0] : inverse(X0) = inverse(multiply(sk_c2,X0))
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2133,f777]) ).

fof(f2133,plain,
    ( ! [X0] : multiply(inverse(X0),identity) = inverse(multiply(sk_c2,X0))
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2075,f1400]) ).

fof(f2075,plain,
    ( ! [X0] : inverse(multiply(sk_c2,X0)) = multiply(inverse(X0),sk_c6)
    | ~ spl0_7 ),
    inference(superposition,[],[f1677,f1403]) ).

fof(f2486,plain,
    ( ! [X0] : inverse(X0) = multiply(inverse(X0),sk_c2)
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2485,f1]) ).

fof(f2485,plain,
    ( ! [X0] : inverse(multiply(identity,X0)) = multiply(inverse(X0),sk_c2)
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2076,f1400]) ).

fof(f2076,plain,
    ( ! [X0] : inverse(multiply(sk_c6,X0)) = multiply(inverse(X0),sk_c2)
    | ~ spl0_7 ),
    inference(superposition,[],[f1677,f1408]) ).

fof(f2484,plain,
    ( ! [X0] : identity = multiply(inverse(multiply(X0,sk_c2)),X0)
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2161,f1400]) ).

fof(f2161,plain,
    ( ! [X0] : sk_c6 = multiply(inverse(multiply(X0,sk_c2)),X0)
    | ~ spl0_7 ),
    inference(superposition,[],[f1998,f1409]) ).

fof(f2482,plain,
    ( identity = sk_c2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2214,f2]) ).

fof(f2214,plain,
    ( ! [X0] : multiply(inverse(X0),X0) = sk_c2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2213,f777]) ).

fof(f2213,plain,
    ( ! [X0] : sk_c2 = multiply(inverse(multiply(X0,identity)),X0)
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2165,f1400]) ).

fof(f2165,plain,
    ( ! [X0] : sk_c2 = multiply(inverse(multiply(X0,sk_c6)),X0)
    | ~ spl0_7 ),
    inference(superposition,[],[f1998,f1396]) ).

fof(f2480,plain,
    ( ! [X0] : inverse(X0) = multiply(sk_c2,inverse(X0))
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2284,f777]) ).

fof(f2284,plain,
    ( ! [X0] : inverse(multiply(X0,identity)) = multiply(sk_c2,inverse(X0))
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2232,f1400]) ).

fof(f2232,plain,
    ( ! [X0] : multiply(sk_c2,inverse(X0)) = inverse(multiply(X0,sk_c6))
    | ~ spl0_7 ),
    inference(superposition,[],[f1627,f1409]) ).

fof(f2478,plain,
    ( ! [X0] : inverse(X0) = inverse(multiply(X0,sk_c2))
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2298,f1]) ).

fof(f2298,plain,
    ( ! [X0] : multiply(identity,inverse(X0)) = inverse(multiply(X0,sk_c2))
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2236,f1400]) ).

fof(f2236,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c2)) = multiply(sk_c6,inverse(X0))
    | ~ spl0_7 ),
    inference(superposition,[],[f1627,f1396]) ).

fof(f2477,plain,
    ( ! [X0] : inverse(X0) = multiply(inverse(X0),sk_c2)
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2476,f1]) ).

fof(f2476,plain,
    ( ! [X0] : inverse(multiply(identity,X0)) = multiply(inverse(X0),sk_c2)
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2241,f1400]) ).

fof(f2241,plain,
    ( ! [X0] : inverse(multiply(sk_c6,X0)) = multiply(inverse(X0),sk_c2)
    | ~ spl0_7 ),
    inference(superposition,[],[f1627,f1409]) ).

fof(f2474,plain,
    ( ! [X0] : inverse(X0) = inverse(multiply(sk_c2,X0))
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2322,f777]) ).

fof(f2322,plain,
    ( ! [X0] : multiply(inverse(X0),identity) = inverse(multiply(sk_c2,X0))
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2245,f1400]) ).

fof(f2245,plain,
    ( ! [X0] : inverse(multiply(sk_c2,X0)) = multiply(inverse(X0),sk_c6)
    | ~ spl0_7 ),
    inference(superposition,[],[f1627,f1396]) ).

fof(f2473,plain,
    ( ! [X0] : inverse(X0) = inverse(multiply(X0,sk_c2))
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2418,f1]) ).

fof(f2418,plain,
    ( ! [X0] : multiply(identity,inverse(X0)) = inverse(multiply(X0,sk_c2))
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2369,f1400]) ).

fof(f2369,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c2)) = multiply(sk_c6,inverse(X0))
    | ~ spl0_7 ),
    inference(superposition,[],[f1630,f1409]) ).

fof(f2472,plain,
    ( ! [X0] : inverse(X0) = multiply(sk_c2,inverse(X0))
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2432,f777]) ).

fof(f2432,plain,
    ( ! [X0] : inverse(multiply(X0,identity)) = multiply(sk_c2,inverse(X0))
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2373,f1400]) ).

fof(f2373,plain,
    ( ! [X0] : multiply(sk_c2,inverse(X0)) = inverse(multiply(X0,sk_c6))
    | ~ spl0_7 ),
    inference(superposition,[],[f1630,f1396]) ).

fof(f1462,plain,
    ( ! [X0] : sk_c6 = multiply(X0,inverse(multiply(sk_c2,X0)))
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f1454,f777]) ).

fof(f1454,plain,
    ( ! [X0] : multiply(sk_c6,identity) = multiply(X0,inverse(multiply(sk_c2,X0)))
    | ~ spl0_7 ),
    inference(superposition,[],[f1403,f897]) ).

fof(f1403,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c2,X0)) = X0
    | ~ spl0_7 ),
    inference(superposition,[],[f67,f1396]) ).

fof(f1444,plain,
    ( ! [X0] : multiply(sk_c2,multiply(sk_c6,X0)) = X0
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f1440,f1]) ).

fof(f1440,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c2,multiply(sk_c6,X0))
    | ~ spl0_7 ),
    inference(superposition,[],[f3,f1407]) ).

fof(f1430,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c2,X0)) = X0
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f1426,f1]) ).

fof(f1426,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c2,X0))
    | ~ spl0_7 ),
    inference(superposition,[],[f3,f1402]) ).

fof(f1402,plain,
    ( identity = multiply(sk_c6,sk_c2)
    | ~ spl0_7 ),
    inference(superposition,[],[f2,f1396]) ).

fof(f1418,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c2,X0)) = X0
    | ~ spl0_7 ),
    inference(superposition,[],[f778,f1409]) ).

fof(f1417,plain,
    ( identity = multiply(sk_c6,sk_c2)
    | ~ spl0_7 ),
    inference(superposition,[],[f774,f1409]) ).

fof(f1421,plain,
    ( identity = multiply(sk_c2,sk_c6)
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f1416,f799]) ).

fof(f1416,plain,
    ( identity = multiply(inverse(inverse(sk_c2)),sk_c6)
    | ~ spl0_7 ),
    inference(superposition,[],[f695,f1409]) ).

fof(f1413,plain,
    ( ! [X0] : multiply(sk_c2,multiply(sk_c6,X0)) = X0
    | ~ spl0_7 ),
    inference(superposition,[],[f67,f1409]) ).

fof(f1412,plain,
    ( identity = multiply(sk_c2,sk_c6)
    | ~ spl0_7 ),
    inference(superposition,[],[f2,f1409]) ).

fof(f1410,plain,
    ( identity = multiply(sk_c6,sk_c2)
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f1406,f799]) ).

fof(f1406,plain,
    ( identity = multiply(inverse(inverse(sk_c6)),sk_c2)
    | ~ spl0_7 ),
    inference(superposition,[],[f695,f1396]) ).

fof(f1405,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(sk_c6),X0)
    | ~ spl0_7 ),
    inference(superposition,[],[f257,f1396]) ).

fof(f1404,plain,
    ( sk_c2 = multiply(inverse(sk_c6),identity)
    | ~ spl0_7 ),
    inference(superposition,[],[f244,f1396]) ).

fof(f3327,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3326]) ).

fof(f3326,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f3325,f3143]) ).

fof(f3143,plain,
    ( identity = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f3142,f2586]) ).

fof(f2586,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f2576,f2]) ).

fof(f2576,plain,
    ( sk_c8 = multiply(inverse(identity),identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(superposition,[],[f381,f2565]) ).

fof(f2565,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(duplicate_literal_removal,[],[f2564]) ).

fof(f2564,plain,
    ( identity = sk_c7
    | identity = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f1276,f1407]) ).

fof(f1276,plain,
    ( identity = sk_c7
    | sk_c7 = multiply(sk_c2,sk_c6)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1275,f380]) ).

fof(f1275,plain,
    ( sk_c7 = multiply(sk_c7,sk_c8)
    | sk_c7 = multiply(sk_c2,sk_c6)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f29,f387]) ).

fof(f387,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,X0)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f386,f1]) ).

fof(f386,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(sk_c7,multiply(identity,X0))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f384]) ).

fof(f384,plain,
    ( sk_c3 = multiply(sk_c7,identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f265,f45]) ).

fof(f265,plain,
    ( sk_c3 = multiply(inverse(sk_c8),identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f67,f51]) ).

fof(f51,plain,
    ( identity = multiply(sk_c8,sk_c3)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f49]) ).

fof(f49,plain,
    ( sk_c8 = inverse(sk_c3)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f47]) ).

fof(f3142,plain,
    ( sk_c8 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f430,f2662]) ).

fof(f2662,plain,
    ( identity = sk_c4
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f2649,f2]) ).

fof(f2649,plain,
    ( sk_c4 = multiply(inverse(identity),identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(superposition,[],[f244,f2643]) ).

fof(f2643,plain,
    ( identity = inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f430,f2586]) ).

fof(f430,plain,
    ( sk_c8 = inverse(sk_c4)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f428]) ).

fof(f428,plain,
    ( spl0_4
  <=> sk_c8 = inverse(sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f3325,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f3324,f2565]) ).

fof(f3324,plain,
    ( identity != inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f3323,f477]) ).

fof(f477,plain,
    ( sk_c7 = sk_c3
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f472,f384]) ).

fof(f472,plain,
    ( sk_c7 = multiply(sk_c7,identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f379,f461]) ).

fof(f379,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f67,f45]) ).

fof(f3323,plain,
    ( identity != inverse(sk_c3)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f3322,f1]) ).

fof(f3322,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(sk_c3)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f3269,f2565]) ).

fof(f3269,plain,
    ( identity != multiply(sk_c7,identity)
    | identity != inverse(sk_c3)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f1244,f387]) ).

fof(f1244,plain,
    ( ! [X4] :
        ( identity != multiply(X4,identity)
        | identity != inverse(X4) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f1243]) ).

fof(f3321,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3320]) ).

fof(f3320,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f3319,f3143]) ).

fof(f3319,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f3318,f2586]) ).

fof(f3318,plain,
    ( identity != inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f3317,f482]) ).

fof(f482,plain,
    ( sk_c8 = inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f49,f477]) ).

fof(f3317,plain,
    ( identity != inverse(inverse(sk_c7))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f3316,f2586]) ).

fof(f3316,plain,
    ( identity != sk_c8
    | identity != inverse(inverse(sk_c7))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f3268,f412]) ).

fof(f412,plain,
    ( sk_c8 = multiply(sk_c8,identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f399,f380]) ).

fof(f399,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f70,f387]) ).

fof(f70,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c3,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f64,f1]) ).

fof(f64,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c3,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f51]) ).

fof(f3268,plain,
    ( identity != multiply(sk_c8,identity)
    | identity != inverse(inverse(sk_c7))
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(superposition,[],[f1244,f390]) ).

fof(f3315,plain,
    ~ spl0_5,
    inference(avatar_contradiction_clause,[],[f3314]) ).

fof(f3314,plain,
    ( $false
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f3313,f799]) ).

fof(f3313,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f3273,f799]) ).

fof(f3273,plain,
    ( identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_5 ),
    inference(trivial_inequality_removal,[],[f3267]) ).

fof(f3267,plain,
    ( identity != identity
    | identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_5 ),
    inference(superposition,[],[f1244,f695]) ).

fof(f3305,plain,
    ~ spl0_5,
    inference(avatar_contradiction_clause,[],[f3304]) ).

fof(f3304,plain,
    ( $false
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f3274,f799]) ).

fof(f3274,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_5 ),
    inference(trivial_inequality_removal,[],[f3264]) ).

fof(f3264,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_5 ),
    inference(superposition,[],[f1244,f243]) ).

fof(f3303,plain,
    ~ spl0_5,
    inference(avatar_contradiction_clause,[],[f3302]) ).

fof(f3302,plain,
    ( $false
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f3275,f799]) ).

fof(f3275,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_5 ),
    inference(trivial_inequality_removal,[],[f3263]) ).

fof(f3263,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_5 ),
    inference(superposition,[],[f1244,f2]) ).

fof(f3301,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3300]) ).

fof(f3300,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f3276,f3143]) ).

fof(f3276,plain,
    ( identity != inverse(identity)
    | ~ spl0_5 ),
    inference(trivial_inequality_removal,[],[f3262]) ).

fof(f3262,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl0_5 ),
    inference(superposition,[],[f1244,f1]) ).

fof(f3299,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3298]) ).

fof(f3298,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f3297,f3143]) ).

fof(f3297,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f3296,f2565]) ).

fof(f3296,plain,
    ( identity != inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f3261,f2587]) ).

fof(f2587,plain,
    ( identity = sk_c3
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f2577,f1]) ).

fof(f2577,plain,
    ( sk_c3 = multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(superposition,[],[f384,f2565]) ).

fof(f3261,plain,
    ( identity != sk_c3
    | identity != inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f1244,f384]) ).

fof(f3295,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3294]) ).

fof(f3294,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f3293,f3143]) ).

fof(f3293,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f3292,f2565]) ).

fof(f3292,plain,
    ( identity != inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f3260,f2565]) ).

fof(f3260,plain,
    ( identity != sk_c7
    | identity != inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(superposition,[],[f1244,f472]) ).

fof(f3291,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3290]) ).

fof(f3290,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f3289,f3143]) ).

fof(f3289,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f3288,f2586]) ).

fof(f3288,plain,
    ( identity != inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f3259,f2586]) ).

fof(f3259,plain,
    ( identity != sk_c8
    | identity != inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f1244,f412]) ).

fof(f3286,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3285]) ).

fof(f3285,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f3284,f3143]) ).

fof(f3284,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f3283,f2565]) ).

fof(f3283,plain,
    ( identity != inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f3282,f799]) ).

fof(f3282,plain,
    ( identity != inverse(inverse(inverse(sk_c7)))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f3257,f2587]) ).

fof(f3257,plain,
    ( identity != sk_c3
    | identity != inverse(inverse(inverse(sk_c7)))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f1244,f391]) ).

fof(f391,plain,
    ( sk_c3 = multiply(inverse(inverse(sk_c7)),identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f67,f385]) ).

fof(f385,plain,
    ( identity = multiply(inverse(sk_c7),sk_c3)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f67,f384]) ).

fof(f3281,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3280]) ).

fof(f3280,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f3279,f3143]) ).

fof(f3279,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f3278,f2586]) ).

fof(f3278,plain,
    ( identity != inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f3277,f482]) ).

fof(f3277,plain,
    ( identity != inverse(inverse(sk_c7))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f3256,f2586]) ).

fof(f3256,plain,
    ( identity != sk_c8
    | identity != inverse(inverse(sk_c7))
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(superposition,[],[f1244,f381]) ).

fof(f3248,plain,
    ~ spl0_6,
    inference(avatar_contradiction_clause,[],[f3247]) ).

fof(f3247,plain,
    ( $false
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f3238,f799]) ).

fof(f3238,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_6 ),
    inference(trivial_inequality_removal,[],[f3235]) ).

fof(f3235,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_6 ),
    inference(superposition,[],[f1247,f774]) ).

fof(f1247,plain,
    ( ! [X7] :
        ( identity != multiply(identity,X7)
        | identity != inverse(X7) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f1246]) ).

fof(f3246,plain,
    ~ spl0_6,
    inference(avatar_contradiction_clause,[],[f3245]) ).

fof(f3245,plain,
    ( $false
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f3244,f799]) ).

fof(f3244,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f3239,f1236]) ).

fof(f3239,plain,
    ( ! [X0] : identity != inverse(multiply(X0,inverse(multiply(identity,X0))))
    | ~ spl0_6 ),
    inference(trivial_inequality_removal,[],[f3234]) ).

fof(f3234,plain,
    ( ! [X0] :
        ( identity != identity
        | identity != inverse(multiply(X0,inverse(multiply(identity,X0)))) )
    | ~ spl0_6 ),
    inference(superposition,[],[f1247,f897]) ).

fof(f3242,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3241]) ).

fof(f3241,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f3240,f3143]) ).

fof(f3240,plain,
    ( identity != inverse(identity)
    | ~ spl0_6 ),
    inference(trivial_inequality_removal,[],[f3232]) ).

fof(f3232,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl0_6 ),
    inference(superposition,[],[f1247,f777]) ).

fof(f3072,plain,
    ( ~ spl0_1
    | spl0_3
    | ~ spl0_7
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3071]) ).

fof(f3071,plain,
    ( $false
    | ~ spl0_1
    | spl0_3
    | ~ spl0_7
    | spl0_8 ),
    inference(global_subsumption,[],[f1396,f36,f18,f30,f12,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f11,f10,f35,f34,f17,f16,f8,f7,f5,f4,f9,f45,f380,f383,f381,f379,f396,f388,f404,f406,f243,f420,f21,f390,f465,f466,f461,f475,f472,f244,f705,f695,f748,f766,f257,f782,f783,f787,f788,f777,f845,f813,f860,f799,f877,f878,f774,f934,f911,f778,f986,f999,f897,f1033,f1070,f1202,f1238,f1241,f1065,f1053,f1158,f1263,f1302,f1236,f1584,f1598,f1615,f1723,f1628,f1631,f1673,f1732,f1746,f1769,f1770,f1771,f1772,f1760,f1866,f1869,f1870,f1871,f1872,f1240,f1933,f1942,f1956,f1957,f1958,f1959,f1961,f1962,f1677,f2064,f2077,f2078,f2095,f2099,f2101,f1998,f2179,f2185,f2189,f2191,f1627,f2229,f2238,f2255,f2268,f2276,f1630,f2411,f2389,f2395,f2461,f2463,f2400,f2464,f2465,f2467,f2468,f2406,f2407,f2408,f2449,f2471,f2367,f2267,f2254,f2239,f2230,f2481,f2159,f2074,f2057,f1259,f1949,f2503,f2505,f1922,f2506,f1919,f1912,f1874,f1868,f1849,f1742,f2517,f1733,f1620,f1618,f1611,f1600,f2537,f2543,f2544,f1026,f1256,f1056,f1054,f15,f1761,f14,f1738,f2533,f13,f2509,f2493,f2448,f2440,f2374,f2351,f2348,f2338,f2334,f20,f2331,f2325,f2116,f1774,f1632,f19,f1209,f1208,f1195,f1194,f1271,f1270,f898,f891,f817,f816,f803,f802,f750,f747,f2819,f2818,f2817,f2118,f2816,f1205,f1191,f425,f39,f1277,f3013,f37,f3014,f38,f3015,f31,f3016,f32,f3017,f33,f3018,f3021,f3024,f1280,f27,f25,f26,f1399]) ).

fof(f1280,plain,
    ( identity = sk_c6
    | sk_c7 = multiply(sk_c8,sk_c6)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f22,f461]) ).

fof(f3024,plain,
    ( identity = sk_c6
    | sk_c7 = multiply(sk_c1,sk_c8)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f10,f461]) ).

fof(f3021,plain,
    ( identity = sk_c6
    | sk_c8 = inverse(sk_c1)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f16,f461]) ).

fof(f3018,plain,
    ( sk_c7 = multiply(sk_c2,sk_c6)
    | ~ spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f36,f18,f30,f12,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f11,f10,f35,f34,f17,f16,f8,f7,f5,f4,f9,f45,f380,f383,f381,f379,f396,f388,f404,f406,f243,f420,f21,f390,f465,f466,f461,f475,f472,f244,f705,f695,f748,f766,f257,f782,f783,f787,f788,f777,f845,f813,f860,f799,f877,f878,f774,f934,f911,f778,f986,f999,f897,f1033,f1070,f1202,f1238,f1241,f1065,f1053,f1158,f1263,f26,f25,f1280,f27,f1302,f1399,f1236,f1584,f1598,f1615,f1723,f1628,f1631,f1673,f1732,f1746,f1769,f1770,f1771,f1772,f1760,f1866,f1869,f1870,f1871,f1872,f1240,f1933,f1942,f1956,f1957,f1958,f1959,f1961,f1962,f1677,f2064,f2077,f2078,f2095,f2099,f2101,f1998,f2179,f2185,f2189,f2191,f1627,f2229,f2238,f2255,f2268,f2276,f1630,f2411,f2389,f2395,f2461,f2463,f2400,f2464,f2465,f2467,f2468,f2406,f2407,f2408,f2449,f2471,f2367,f2267,f2254,f2239,f2230,f2481,f2159,f2074,f2057,f1259,f1949,f2503,f2505,f1922,f2506,f1919,f1912,f1874,f1868,f1849,f1742,f2517,f1733,f1620,f1618,f1611,f1600,f2537,f2543,f2544,f1026,f1256,f1056,f1054,f15,f1761,f14,f1738,f2533,f13,f2509,f2493,f2448,f2440,f2374,f2351,f2348,f2338,f2334,f20,f2331,f2325,f2116,f1774,f1632,f19,f1209,f1208,f1195,f1194,f1271,f1270,f898,f891,f817,f816,f803,f802,f750,f747,f2118,f1205,f1191,f39,f1277,f3013,f37,f38,f31,f32,f3017,f33]) ).

fof(f3017,plain,
    ( sk_c7 = multiply(sk_c2,sk_c6)
    | ~ spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f36,f18,f30,f12,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f11,f10,f35,f34,f17,f16,f8,f7,f5,f4,f9,f45,f380,f383,f381,f379,f396,f388,f404,f406,f243,f420,f21,f390,f465,f466,f461,f475,f472,f244,f705,f695,f748,f766,f257,f782,f783,f787,f788,f777,f845,f813,f860,f799,f877,f878,f774,f934,f911,f778,f986,f999,f897,f1033,f1070,f1202,f1238,f1241,f1065,f1053,f1158,f1263,f26,f25,f1280,f33,f27,f1302,f1399,f1236,f1584,f1598,f1615,f1723,f1628,f1631,f1673,f1732,f1746,f1769,f1770,f1771,f1772,f1760,f1866,f1869,f1870,f1871,f1872,f1240,f1933,f1942,f1956,f1957,f1958,f1959,f1961,f1962,f1677,f2064,f2077,f2078,f2095,f2099,f2101,f1998,f2179,f2185,f2189,f2191,f1627,f2229,f2238,f2255,f2268,f2276,f1630,f2411,f2389,f2395,f2461,f2463,f2400,f2464,f2465,f2467,f2468,f2406,f2407,f2408,f2449,f2471,f2367,f2267,f2254,f2239,f2230,f2481,f2159,f2074,f2057,f1259,f1949,f2503,f2505,f1922,f2506,f1919,f1912,f1874,f1868,f1849,f1742,f2517,f1733,f1620,f1618,f1611,f1600,f2537,f2543,f2544,f1026,f1256,f1056,f1054,f15,f1761,f14,f1738,f2533,f13,f2509,f2493,f2448,f2440,f2374,f2351,f2348,f2338,f2334,f20,f2331,f2325,f2116,f1774,f1632,f19,f1209,f1208,f1195,f1194,f1271,f1270,f898,f891,f817,f816,f803,f802,f750,f747,f2118,f1205,f1191,f39,f1277,f3013,f37,f38,f31,f32]) ).

fof(f3013,plain,
    ( sk_c7 = multiply(sk_c2,sk_c6)
    | ~ spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f36,f18,f30,f12,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f11,f10,f35,f34,f17,f16,f8,f7,f5,f4,f9,f45,f380,f383,f381,f379,f396,f388,f404,f406,f243,f420,f21,f390,f465,f466,f461,f475,f472,f244,f705,f695,f748,f766,f257,f782,f783,f787,f788,f777,f845,f813,f860,f799,f877,f878,f774,f934,f911,f778,f986,f999,f897,f1033,f1070,f1202,f1238,f1241,f1065,f1053,f1158,f1263,f32,f31,f26,f25,f1280,f38,f37,f33,f27,f1302,f1399,f1236,f1584,f1598,f1615,f1723,f1628,f1631,f1673,f1732,f1746,f1769,f1770,f1771,f1772,f1760,f1866,f1869,f1870,f1871,f1872,f1240,f1933,f1942,f1956,f1957,f1958,f1959,f1961,f1962,f1677,f2064,f2077,f2078,f2095,f2099,f2101,f1998,f2179,f2185,f2189,f2191,f1627,f2229,f2238,f2255,f2268,f2276,f1630,f2411,f2389,f2395,f2461,f2463,f2400,f2464,f2465,f2467,f2468,f2406,f2407,f2408,f2449,f2471,f2367,f2267,f2254,f2239,f2230,f2481,f2159,f2074,f2057,f1259,f1949,f2503,f2505,f1922,f2506,f1919,f1912,f1874,f1868,f1849,f1742,f2517,f1733,f1620,f1618,f1611,f1600,f2537,f2543,f2544,f1026,f1256,f1056,f1054,f15,f1761,f14,f1738,f2533,f13,f2509,f2493,f2448,f2440,f2374,f2351,f2348,f2338,f2334,f20,f2331,f2325,f2116,f1774,f1632,f19,f1209,f1208,f1195,f1194,f1271,f1270,f898,f891,f817,f816,f803,f802,f750,f747,f2118,f1205,f1191,f39,f1277]) ).

fof(f1191,plain,
    ( identity = inverse(identity)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1073,f380]) ).

fof(f1073,plain,
    ( identity = inverse(multiply(sk_c7,sk_c8))
    | ~ spl0_1 ),
    inference(superposition,[],[f897,f379]) ).

fof(f1205,plain,
    ( identity = inverse(identity)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1087,f380]) ).

fof(f1087,plain,
    ( identity = inverse(multiply(sk_c7,sk_c8))
    | ~ spl0_1 ),
    inference(superposition,[],[f379,f897]) ).

fof(f2118,plain,
    ( identity = inverse(identity)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f2070,f2]) ).

fof(f2070,plain,
    ( inverse(identity) = multiply(inverse(sk_c7),sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f1677,f472]) ).

fof(f2533,plain,
    ( sk_c7 = multiply(sk_c7,inverse(identity))
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1604,f45]) ).

fof(f1604,plain,
    ( inverse(sk_c8) = multiply(sk_c7,inverse(identity))
    | ~ spl0_1 ),
    inference(superposition,[],[f1236,f461]) ).

fof(f1738,plain,
    ( sk_c7 = multiply(sk_c7,inverse(identity))
    | ~ spl0_1 ),
    inference(superposition,[],[f1673,f472]) ).

fof(f1761,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c8),sk_c7) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f1673,f45]) ).

fof(f1054,plain,
    ( identity = multiply(sk_c7,multiply(sk_c8,inverse(identity)))
    | ~ spl0_1 ),
    inference(superposition,[],[f897,f380]) ).

fof(f1056,plain,
    ( identity = multiply(sk_c8,multiply(sk_c7,inverse(identity)))
    | ~ spl0_1 ),
    inference(superposition,[],[f897,f461]) ).

fof(f1256,plain,
    ( identity = multiply(sk_c7,multiply(sk_c8,inverse(identity)))
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1055,f799]) ).

fof(f1055,plain,
    ( identity = multiply(inverse(inverse(sk_c7)),multiply(sk_c8,inverse(identity)))
    | ~ spl0_1 ),
    inference(superposition,[],[f897,f388]) ).

fof(f1620,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c8)) = multiply(sk_c7,inverse(X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f379,f1236]) ).

fof(f1742,plain,
    ( ! [X0] : sk_c7 = multiply(X0,inverse(multiply(sk_c8,X0)))
    | ~ spl0_1 ),
    inference(superposition,[],[f1673,f379]) ).

fof(f1849,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c7),sk_c8) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f1760,f45]) ).

fof(f1912,plain,
    ( ! [X0] : sk_c8 = multiply(X0,inverse(multiply(sk_c7,X0)))
    | ~ spl0_1 ),
    inference(superposition,[],[f1240,f45]) ).

fof(f1922,plain,
    ( ! [X0] : sk_c7 = multiply(X0,inverse(multiply(sk_c8,X0)))
    | ~ spl0_1 ),
    inference(superposition,[],[f1240,f390]) ).

fof(f1949,plain,
    ( ! [X0] : multiply(sk_c7,X0) = inverse(multiply(inverse(X0),sk_c8))
    | ~ spl0_1 ),
    inference(superposition,[],[f379,f1240]) ).

fof(f2074,plain,
    ( ! [X0] : inverse(multiply(sk_c8,X0)) = multiply(inverse(X0),sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f1677,f379]) ).

fof(f2159,plain,
    ( ! [X0] : sk_c8 = multiply(inverse(multiply(X0,sk_c7)),X0)
    | ~ spl0_1 ),
    inference(superposition,[],[f1998,f45]) ).

fof(f2230,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c8)) = multiply(sk_c7,inverse(X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f1627,f45]) ).

fof(f2239,plain,
    ( ! [X0] : inverse(multiply(sk_c8,X0)) = multiply(inverse(X0),sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f1627,f45]) ).

fof(f2254,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c7)) = multiply(sk_c8,inverse(X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f1627,f390]) ).

fof(f2267,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c7)) = multiply(sk_c8,inverse(X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f390,f1627]) ).

fof(f2367,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c7)) = multiply(sk_c8,inverse(X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f1630,f45]) ).

fof(f2449,plain,
    ( ! [X0] : multiply(X0,sk_c7) = inverse(multiply(sk_c8,inverse(X0)))
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f2385,f799]) ).

fof(f2385,plain,
    ( ! [X0] : inverse(multiply(sk_c8,inverse(X0))) = multiply(X0,inverse(inverse(sk_c7)))
    | ~ spl0_1 ),
    inference(superposition,[],[f1630,f390]) ).

fof(f1302,plain,
    ( identity = sk_c6
    | sk_c6 = inverse(sk_c2)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f34,f461]) ).

fof(f475,plain,
    ( sk_c7 = multiply(sk_c7,identity)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f473,f45]) ).

fof(f473,plain,
    ( sk_c7 = multiply(inverse(sk_c8),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f67,f461]) ).

fof(f466,plain,
    ( ! [X0] : multiply(inverse(inverse(sk_c7)),multiply(sk_c8,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f67,f390]) ).

fof(f465,plain,
    ( identity = multiply(sk_c8,sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f390]) ).

fof(f406,plain,
    ( ! [X0] : multiply(inverse(inverse(sk_c7)),multiply(sk_c8,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f405,f1]) ).

fof(f405,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(sk_c7)),multiply(sk_c8,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f388]) ).

fof(f404,plain,
    ( sk_c8 = multiply(inverse(inverse(inverse(sk_c7))),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f67,f388]) ).

fof(f388,plain,
    ( identity = multiply(inverse(inverse(sk_c7)),sk_c8)
    | ~ spl0_1 ),
    inference(superposition,[],[f67,f381]) ).

fof(f396,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(sk_c7),X0)
    | ~ spl0_1 ),
    inference(superposition,[],[f67,f379]) ).

fof(f383,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f382,f1]) ).

fof(f382,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c8,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f380]) ).

fof(f3070,plain,
    ( ~ spl0_1
    | spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3069]) ).

fof(f3069,plain,
    ( $false
    | ~ spl0_1
    | spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(global_subsumption,[],[f2555,f36,f18,f30,f12,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f11,f10,f35,f34,f17,f16,f8,f7,f5,f4,f9,f45,f380,f383,f381,f379,f396,f388,f404,f406,f243,f420,f21,f390,f465,f466,f461,f475,f472,f244,f705,f695,f748,f766,f257,f782,f783,f787,f788,f777,f845,f813,f860,f799,f877,f878,f774,f934,f911,f778,f986,f999,f897,f1033,f1070,f1202,f1238,f1241,f1065,f1053,f1158,f1263,f1302,f1236,f1584,f1598,f1615,f1723,f1628,f1631,f1673,f1732,f1746,f1769,f1770,f1771,f1772,f1760,f1866,f1869,f1870,f1871,f1872,f1240,f1933,f1942,f1956,f1957,f1958,f1959,f1961,f1962,f1677,f2064,f2077,f2078,f2095,f2099,f2101,f1998,f2179,f2185,f2189,f2191,f1627,f2229,f2238,f2255,f2268,f2276,f1630,f2411,f2389,f2395,f2461,f2463,f2400,f2464,f2465,f2467,f2468,f2406,f2407,f2408,f2449,f2471,f2367,f2267,f2254,f2239,f2230,f2481,f2159,f2074,f2057,f1259,f1949,f2503,f2505,f1922,f2506,f1919,f1912,f1874,f1868,f1849,f1742,f2517,f1733,f1620,f1618,f1611,f1600,f2537,f2543,f2544,f1026,f1256,f1056,f1054,f15,f1761,f14,f1738,f2533,f13,f2509,f2493,f2448,f2440,f2374,f2351,f2348,f2338,f2334,f20,f2331,f2325,f2116,f1774,f1632,f19,f1209,f1208,f1195,f1194,f1271,f1270,f898,f891,f817,f816,f803,f802,f750,f747,f2819,f2818,f2817,f2118,f2816,f1205,f1191,f425,f39,f1277,f3013,f37,f3014,f38,f3015,f31,f3016,f32,f3017,f33,f3018,f3021,f3024,f1280,f27,f25,f26,f1399]) ).

fof(f2555,plain,
    ( sk_c8 = inverse(sk_c4)
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(global_subsumption,[],[f2554,f36,f18,f30,f12,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f14,f13,f11,f10,f35,f34,f20,f19,f17,f16,f15,f8,f7,f5,f4,f9,f243,f420,f21,f244,f705,f695,f748,f766,f257,f782,f783,f787,f788,f777,f845,f813,f860,f799,f877,f878,f774,f934,f911,f778,f986,f999,f897,f1033,f1070,f1202,f1238,f1241,f1209,f1208,f1195,f1194,f1065,f1053,f1158,f898,f891,f1270,f817,f816,f1271,f803,f802,f750,f747,f32,f31,f26,f25,f38,f37,f33,f27,f39,f430,f1236,f1584,f1598,f1615,f1723,f1628,f1631,f1673,f1732,f1746,f1769,f1770,f1771,f1772,f1760,f1866,f1869,f1870,f1871,f1872,f1240,f1933,f1942,f1956,f1957,f1958,f1959,f1961,f1962,f1677,f2064,f2077,f2078,f2095,f2099,f2101,f1998,f2179,f2185,f2189,f2191,f1627,f2229,f2238,f2255,f2268,f2276,f1630,f2411,f2389,f2395,f2461,f2463,f2400,f2464,f2465,f2467,f2468,f2406,f2407,f2408,f2448,f2440,f2471,f2374,f2351,f2348,f2338,f2334,f2331,f2325,f2481,f2116,f2493,f2057,f1259,f2503,f2505,f2506,f1919,f1874,f1868,f2509,f2517,f1733,f1774,f1618,f1611,f1600,f2537,f2543,f2544,f1632,f1026]) ).

fof(f3068,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3067]) ).

fof(f3067,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(global_subsumption,[],[f2662,f36,f18,f30,f12,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f11,f10,f35,f34,f17,f16,f8,f7,f5,f4,f9,f45,f380,f383,f381,f379,f396,f388,f404,f406,f243,f420,f21,f390,f465,f466,f461,f475,f472,f244,f705,f695,f748,f766,f257,f782,f783,f787,f788,f777,f845,f813,f860,f799,f877,f878,f774,f934,f911,f778,f986,f999,f897,f1033,f1070,f1202,f1238,f1241,f1065,f1053,f1158,f1263,f1302,f1236,f1584,f1598,f1615,f1723,f1628,f1631,f1673,f1732,f1746,f1769,f1770,f1771,f1772,f1760,f1866,f1869,f1870,f1871,f1872,f1240,f1933,f1942,f1956,f1957,f1958,f1959,f1961,f1962,f1677,f2064,f2077,f2078,f2095,f2099,f2101,f1998,f2179,f2185,f2189,f2191,f1627,f2229,f2238,f2255,f2268,f2276,f1630,f2411,f2389,f2395,f2461,f2463,f2400,f2464,f2465,f2467,f2468,f2406,f2407,f2408,f2449,f2471,f2367,f2267,f2254,f2239,f2230,f2481,f2159,f2074,f2057,f1259,f1949,f2503,f2505,f1922,f2506,f1919,f1912,f1874,f1868,f1849,f1742,f2517,f1733,f1620,f1618,f1611,f1600,f2537,f2543,f2544,f1026,f1256,f1056,f1054,f15,f1761,f14,f1738,f2533,f13,f2509,f2493,f2448,f2440,f2374,f2351,f2348,f2338,f2334,f20,f2331,f2325,f2116,f1774,f1632,f19,f1209,f1208,f1195,f1194,f1271,f1270,f898,f891,f817,f816,f803,f802,f750,f747,f2819,f2818,f2817,f2118,f2816,f1205,f1191,f425,f39,f1277,f3013,f37,f3014,f38,f3015,f31,f3016,f32,f3017,f33,f3018,f3021,f3024,f1280,f27,f25,f26,f1399]) ).

fof(f3066,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_7
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3065]) ).

fof(f3065,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_7
    | spl0_8 ),
    inference(global_subsumption,[],[f2586,f36,f18,f30,f12,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f11,f10,f35,f34,f17,f16,f8,f7,f5,f4,f9,f45,f380,f383,f381,f379,f396,f388,f404,f406,f243,f420,f21,f390,f465,f466,f461,f475,f472,f244,f705,f695,f748,f766,f257,f782,f783,f787,f788,f777,f845,f813,f860,f799,f877,f878,f774,f934,f911,f778,f986,f999,f897,f1033,f1070,f1202,f1238,f1241,f1065,f1053,f1158,f1263,f1302,f1236,f1584,f1598,f1615,f1723,f1628,f1631,f1673,f1732,f1746,f1769,f1770,f1771,f1772,f1760,f1866,f1869,f1870,f1871,f1872,f1240,f1933,f1942,f1956,f1957,f1958,f1959,f1961,f1962,f1677,f2064,f2077,f2078,f2095,f2099,f2101,f1998,f2179,f2185,f2189,f2191,f1627,f2229,f2238,f2255,f2268,f2276,f1630,f2411,f2389,f2395,f2461,f2463,f2400,f2464,f2465,f2467,f2468,f2406,f2407,f2408,f2449,f2471,f2367,f2267,f2254,f2239,f2230,f2481,f2159,f2074,f2057,f1259,f1949,f2503,f2505,f1922,f2506,f1919,f1912,f1874,f1868,f1849,f1742,f2517,f1733,f1620,f1618,f1611,f1600,f2537,f2543,f2544,f1026,f1256,f1056,f1054,f15,f1761,f14,f1738,f2533,f13,f2509,f2493,f2448,f2440,f2374,f2351,f2348,f2338,f2334,f20,f2331,f2325,f2116,f1774,f1632,f19,f1209,f1208,f1195,f1194,f1271,f1270,f898,f891,f817,f816,f803,f802,f750,f747,f2819,f2818,f2817,f2118,f2816,f1205,f1191,f425,f39,f1277,f3013,f37,f3014,f38,f3015,f31,f3016,f32,f3017,f33,f3018,f3021,f3024,f1280,f27,f25,f26,f1399]) ).

fof(f3064,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_7
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3063]) ).

fof(f3063,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_7
    | spl0_8 ),
    inference(global_subsumption,[],[f2587,f36,f18,f30,f12,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f11,f10,f35,f34,f17,f16,f8,f7,f5,f4,f9,f45,f380,f383,f381,f379,f396,f388,f404,f406,f243,f420,f21,f390,f465,f466,f461,f475,f472,f244,f705,f695,f748,f766,f257,f782,f783,f787,f788,f777,f845,f813,f860,f799,f877,f878,f774,f934,f911,f778,f986,f999,f897,f1033,f1070,f1202,f1238,f1241,f1065,f1053,f1158,f1263,f1302,f1236,f1584,f1598,f1615,f1723,f1628,f1631,f1673,f1732,f1746,f1769,f1770,f1771,f1772,f1760,f1866,f1869,f1870,f1871,f1872,f1240,f1933,f1942,f1956,f1957,f1958,f1959,f1961,f1962,f1677,f2064,f2077,f2078,f2095,f2099,f2101,f1998,f2179,f2185,f2189,f2191,f1627,f2229,f2238,f2255,f2268,f2276,f1630,f2411,f2389,f2395,f2461,f2463,f2400,f2464,f2465,f2467,f2468,f2406,f2407,f2408,f2449,f2471,f2367,f2267,f2254,f2239,f2230,f2481,f2159,f2074,f2057,f1259,f1949,f2503,f2505,f1922,f2506,f1919,f1912,f1874,f1868,f1849,f1742,f2517,f1733,f1620,f1618,f1611,f1600,f2537,f2543,f2544,f1026,f1256,f1056,f1054,f15,f1761,f14,f1738,f2533,f13,f2509,f2493,f2448,f2440,f2374,f2351,f2348,f2338,f2334,f20,f2331,f2325,f2116,f1774,f1632,f19,f1209,f1208,f1195,f1194,f1271,f1270,f898,f891,f817,f816,f803,f802,f750,f747,f2819,f2818,f2817,f2118,f2816,f1205,f1191,f425,f39,f1277,f3013,f37,f3014,f38,f3015,f31,f3016,f32,f3017,f33,f3018,f3021,f3024,f1280,f27,f25,f26,f1399]) ).

fof(f3062,plain,
    ( ~ spl0_1
    | spl0_3
    | ~ spl0_7
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3061]) ).

fof(f3061,plain,
    ( $false
    | ~ spl0_1
    | spl0_3
    | ~ spl0_7
    | spl0_8 ),
    inference(global_subsumption,[],[f1483,f36,f18,f30,f12,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f11,f10,f35,f34,f17,f16,f8,f7,f5,f4,f9,f45,f380,f383,f381,f379,f396,f388,f404,f406,f243,f420,f21,f390,f465,f466,f461,f475,f472,f244,f705,f695,f748,f766,f257,f782,f783,f787,f788,f777,f845,f813,f860,f799,f877,f878,f774,f934,f911,f778,f986,f999,f897,f1033,f1070,f1202,f1238,f1241,f1065,f1053,f1158,f1263,f1302,f1236,f1584,f1598,f1615,f1723,f1628,f1631,f1673,f1732,f1746,f1769,f1770,f1771,f1772,f1760,f1866,f1869,f1870,f1871,f1872,f1240,f1933,f1942,f1956,f1957,f1958,f1959,f1961,f1962,f1677,f2064,f2077,f2078,f2095,f2099,f2101,f1998,f2179,f2185,f2189,f2191,f1627,f2229,f2238,f2255,f2268,f2276,f1630,f2411,f2389,f2395,f2461,f2463,f2400,f2464,f2465,f2467,f2468,f2406,f2407,f2408,f2449,f2471,f2367,f2267,f2254,f2239,f2230,f2481,f2159,f2074,f2057,f1259,f1949,f2503,f2505,f1922,f2506,f1919,f1912,f1874,f1868,f1849,f1742,f2517,f1733,f1620,f1618,f1611,f1600,f2537,f2543,f2544,f1026,f1256,f1056,f1054,f15,f1761,f14,f1738,f2533,f13,f2509,f2493,f2448,f2440,f2374,f2351,f2348,f2338,f2334,f20,f2331,f2325,f2116,f1774,f1632,f19,f1209,f1208,f1195,f1194,f1271,f1270,f898,f891,f817,f816,f803,f802,f750,f747,f2819,f2818,f2817,f2118,f2816,f1205,f1191,f425,f39,f1277,f3013,f37,f3014,f38,f3015,f31,f3016,f32,f3017,f33,f3018,f3021,f3024,f1280,f27,f25,f26,f1399]) ).

fof(f3060,plain,
    ( ~ spl0_1
    | spl0_3
    | ~ spl0_7
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3059]) ).

fof(f3059,plain,
    ( $false
    | ~ spl0_1
    | spl0_3
    | ~ spl0_7
    | spl0_8 ),
    inference(global_subsumption,[],[f1484,f36,f18,f30,f12,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f11,f10,f35,f34,f17,f16,f8,f7,f5,f4,f9,f45,f380,f383,f381,f379,f396,f388,f404,f406,f243,f420,f21,f390,f465,f466,f461,f475,f472,f244,f705,f695,f748,f766,f257,f782,f783,f787,f788,f777,f845,f813,f860,f799,f877,f878,f774,f934,f911,f778,f986,f999,f897,f1033,f1070,f1202,f1238,f1241,f1065,f1053,f1158,f1263,f1302,f1236,f1584,f1598,f1615,f1723,f1628,f1631,f1673,f1732,f1746,f1769,f1770,f1771,f1772,f1760,f1866,f1869,f1870,f1871,f1872,f1240,f1933,f1942,f1956,f1957,f1958,f1959,f1961,f1962,f1677,f2064,f2077,f2078,f2095,f2099,f2101,f1998,f2179,f2185,f2189,f2191,f1627,f2229,f2238,f2255,f2268,f2276,f1630,f2411,f2389,f2395,f2461,f2463,f2400,f2464,f2465,f2467,f2468,f2406,f2407,f2408,f2449,f2471,f2367,f2267,f2254,f2239,f2230,f2481,f2159,f2074,f2057,f1259,f1949,f2503,f2505,f1922,f2506,f1919,f1912,f1874,f1868,f1849,f1742,f2517,f1733,f1620,f1618,f1611,f1600,f2537,f2543,f2544,f1026,f1256,f1056,f1054,f15,f1761,f14,f1738,f2533,f13,f2509,f2493,f2448,f2440,f2374,f2351,f2348,f2338,f2334,f20,f2331,f2325,f2116,f1774,f1632,f19,f1209,f1208,f1195,f1194,f1271,f1270,f898,f891,f817,f816,f803,f802,f750,f747,f2819,f2818,f2817,f2118,f2816,f1205,f1191,f425,f39,f1277,f3013,f37,f3014,f38,f3015,f31,f3016,f32,f3017,f33,f3018,f3021,f3024,f1280,f27,f25,f26,f1399]) ).

fof(f3058,plain,
    ( ~ spl0_1
    | spl0_3
    | ~ spl0_7
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3057]) ).

fof(f3057,plain,
    ( $false
    | ~ spl0_1
    | spl0_3
    | ~ spl0_7
    | spl0_8 ),
    inference(global_subsumption,[],[f1464,f36,f18,f30,f12,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f11,f10,f35,f34,f17,f16,f8,f7,f5,f4,f9,f45,f380,f383,f381,f379,f396,f388,f404,f406,f243,f420,f21,f390,f465,f466,f461,f475,f472,f244,f705,f695,f748,f766,f257,f782,f783,f787,f788,f777,f845,f813,f860,f799,f877,f878,f774,f934,f911,f778,f986,f999,f897,f1033,f1070,f1202,f1238,f1241,f1065,f1053,f1158,f1263,f1302,f1236,f1584,f1598,f1615,f1723,f1628,f1631,f1673,f1732,f1746,f1769,f1770,f1771,f1772,f1760,f1866,f1869,f1870,f1871,f1872,f1240,f1933,f1942,f1956,f1957,f1958,f1959,f1961,f1962,f1677,f2064,f2077,f2078,f2095,f2099,f2101,f1998,f2179,f2185,f2189,f2191,f1627,f2229,f2238,f2255,f2268,f2276,f1630,f2411,f2389,f2395,f2461,f2463,f2400,f2464,f2465,f2467,f2468,f2406,f2407,f2408,f2449,f2471,f2367,f2267,f2254,f2239,f2230,f2481,f2159,f2074,f2057,f1259,f1949,f2503,f2505,f1922,f2506,f1919,f1912,f1874,f1868,f1849,f1742,f2517,f1733,f1620,f1618,f1611,f1600,f2537,f2543,f2544,f1026,f1256,f1056,f1054,f15,f1761,f14,f1738,f2533,f13,f2509,f2493,f2448,f2440,f2374,f2351,f2348,f2338,f2334,f20,f2331,f2325,f2116,f1774,f1632,f19,f1209,f1208,f1195,f1194,f1271,f1270,f898,f891,f817,f816,f803,f802,f750,f747,f2819,f2818,f2817,f2118,f2816,f1205,f1191,f425,f39,f1277,f3013,f37,f3014,f38,f3015,f31,f3016,f32,f3017,f33,f3018,f3021,f3024,f1280,f27,f25,f26,f1399]) ).

fof(f3056,plain,
    ( ~ spl0_1
    | spl0_3
    | ~ spl0_7
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3055]) ).

fof(f3055,plain,
    ( $false
    | ~ spl0_1
    | spl0_3
    | ~ spl0_7
    | spl0_8 ),
    inference(global_subsumption,[],[f1409,f36,f18,f30,f12,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f11,f10,f35,f34,f17,f16,f8,f7,f5,f4,f9,f45,f380,f383,f381,f379,f396,f388,f404,f406,f243,f420,f21,f390,f465,f466,f461,f475,f472,f244,f705,f695,f748,f766,f257,f782,f783,f787,f788,f777,f845,f813,f860,f799,f877,f878,f774,f934,f911,f778,f986,f999,f897,f1033,f1070,f1202,f1238,f1241,f1065,f1053,f1158,f1263,f1302,f1236,f1584,f1598,f1615,f1723,f1628,f1631,f1673,f1732,f1746,f1769,f1770,f1771,f1772,f1760,f1866,f1869,f1870,f1871,f1872,f1240,f1933,f1942,f1956,f1957,f1958,f1959,f1961,f1962,f1677,f2064,f2077,f2078,f2095,f2099,f2101,f1998,f2179,f2185,f2189,f2191,f1627,f2229,f2238,f2255,f2268,f2276,f1630,f2411,f2389,f2395,f2461,f2463,f2400,f2464,f2465,f2467,f2468,f2406,f2407,f2408,f2449,f2471,f2367,f2267,f2254,f2239,f2230,f2481,f2159,f2074,f2057,f1259,f1949,f2503,f2505,f1922,f2506,f1919,f1912,f1874,f1868,f1849,f1742,f2517,f1733,f1620,f1618,f1611,f1600,f2537,f2543,f2544,f1026,f1256,f1056,f1054,f15,f1761,f14,f1738,f2533,f13,f2509,f2493,f2448,f2440,f2374,f2351,f2348,f2338,f2334,f20,f2331,f2325,f2116,f1774,f1632,f19,f1209,f1208,f1195,f1194,f1271,f1270,f898,f891,f817,f816,f803,f802,f750,f747,f2819,f2818,f2817,f2118,f2816,f1205,f1191,f425,f39,f1277,f3013,f37,f3014,f38,f3015,f31,f3016,f32,f3017,f33,f3018,f3021,f3024,f1280,f27,f25,f26,f1399]) ).

fof(f3054,plain,
    ( ~ spl0_1
    | spl0_3
    | ~ spl0_7
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3053]) ).

fof(f3053,plain,
    ( $false
    | ~ spl0_1
    | spl0_3
    | ~ spl0_7
    | spl0_8 ),
    inference(global_subsumption,[],[f1465,f36,f18,f30,f12,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f11,f10,f35,f34,f17,f16,f8,f7,f5,f4,f9,f45,f380,f383,f381,f379,f396,f388,f404,f406,f243,f420,f21,f390,f465,f466,f461,f475,f472,f244,f705,f695,f748,f766,f257,f782,f783,f787,f788,f777,f845,f813,f860,f799,f877,f878,f774,f934,f911,f778,f986,f999,f897,f1033,f1070,f1202,f1238,f1241,f1065,f1053,f1158,f1263,f1302,f1236,f1584,f1598,f1615,f1723,f1628,f1631,f1673,f1732,f1746,f1769,f1770,f1771,f1772,f1760,f1866,f1869,f1870,f1871,f1872,f1240,f1933,f1942,f1956,f1957,f1958,f1959,f1961,f1962,f1677,f2064,f2077,f2078,f2095,f2099,f2101,f1998,f2179,f2185,f2189,f2191,f1627,f2229,f2238,f2255,f2268,f2276,f1630,f2411,f2389,f2395,f2461,f2463,f2400,f2464,f2465,f2467,f2468,f2406,f2407,f2408,f2449,f2471,f2367,f2267,f2254,f2239,f2230,f2481,f2159,f2074,f2057,f1259,f1949,f2503,f2505,f1922,f2506,f1919,f1912,f1874,f1868,f1849,f1742,f2517,f1733,f1620,f1618,f1611,f1600,f2537,f2543,f2544,f1026,f1256,f1056,f1054,f15,f1761,f14,f1738,f2533,f13,f2509,f2493,f2448,f2440,f2374,f2351,f2348,f2338,f2334,f20,f2331,f2325,f2116,f1774,f1632,f19,f1209,f1208,f1195,f1194,f1271,f1270,f898,f891,f817,f816,f803,f802,f750,f747,f2819,f2818,f2817,f2118,f2816,f1205,f1191,f425,f39,f1277,f3013,f37,f3014,f38,f3015,f31,f3016,f32,f3017,f33,f3018,f3021,f3024,f1280,f27,f25,f26,f1399]) ).

fof(f3052,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_7
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3051]) ).

fof(f3051,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_7
    | spl0_8 ),
    inference(global_subsumption,[],[f2565,f36,f18,f30,f12,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f11,f10,f35,f34,f17,f16,f8,f7,f5,f4,f9,f45,f380,f383,f381,f379,f396,f388,f404,f406,f243,f420,f21,f390,f465,f466,f461,f475,f472,f244,f705,f695,f748,f766,f257,f782,f783,f787,f788,f777,f845,f813,f860,f799,f877,f878,f774,f934,f911,f778,f986,f999,f897,f1033,f1070,f1202,f1238,f1241,f1065,f1053,f1158,f1263,f1302,f1236,f1584,f1598,f1615,f1723,f1628,f1631,f1673,f1732,f1746,f1769,f1770,f1771,f1772,f1760,f1866,f1869,f1870,f1871,f1872,f1240,f1933,f1942,f1956,f1957,f1958,f1959,f1961,f1962,f1677,f2064,f2077,f2078,f2095,f2099,f2101,f1998,f2179,f2185,f2189,f2191,f1627,f2229,f2238,f2255,f2268,f2276,f1630,f2411,f2389,f2395,f2461,f2463,f2400,f2464,f2465,f2467,f2468,f2406,f2407,f2408,f2449,f2471,f2367,f2267,f2254,f2239,f2230,f2481,f2159,f2074,f2057,f1259,f1949,f2503,f2505,f1922,f2506,f1919,f1912,f1874,f1868,f1849,f1742,f2517,f1733,f1620,f1618,f1611,f1600,f2537,f2543,f2544,f1026,f1256,f1056,f1054,f15,f1761,f14,f1738,f2533,f13,f2509,f2493,f2448,f2440,f2374,f2351,f2348,f2338,f2334,f20,f2331,f2325,f2116,f1774,f1632,f19,f1209,f1208,f1195,f1194,f1271,f1270,f898,f891,f817,f816,f803,f802,f750,f747,f2819,f2818,f2817,f2118,f2816,f1205,f1191,f425,f39,f1277,f3013,f37,f3014,f38,f3015,f31,f3016,f32,f3017,f33,f3018,f3021,f3024,f1280,f27,f25,f26,f1399]) ).

fof(f3050,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_7
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3049]) ).

fof(f3049,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_7
    | spl0_8 ),
    inference(global_subsumption,[],[f2603,f36,f18,f30,f12,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f11,f10,f35,f34,f17,f16,f8,f7,f5,f4,f9,f45,f380,f383,f381,f379,f396,f388,f404,f406,f243,f420,f21,f390,f465,f466,f461,f475,f472,f244,f705,f695,f748,f766,f257,f782,f783,f787,f788,f777,f845,f813,f860,f799,f877,f878,f774,f934,f911,f778,f986,f999,f897,f1033,f1070,f1202,f1238,f1241,f1065,f1053,f1158,f1263,f1302,f1236,f1584,f1598,f1615,f1723,f1628,f1631,f1673,f1732,f1746,f1769,f1770,f1771,f1772,f1760,f1866,f1869,f1870,f1871,f1872,f1240,f1933,f1942,f1956,f1957,f1958,f1959,f1961,f1962,f1677,f2064,f2077,f2078,f2095,f2099,f2101,f1998,f2179,f2185,f2189,f2191,f1627,f2229,f2238,f2255,f2268,f2276,f1630,f2411,f2389,f2395,f2461,f2463,f2400,f2464,f2465,f2467,f2468,f2406,f2407,f2408,f2449,f2471,f2367,f2267,f2254,f2239,f2230,f2481,f2159,f2074,f2057,f1259,f1949,f2503,f2505,f1922,f2506,f1919,f1912,f1874,f1868,f1849,f1742,f2517,f1733,f1620,f1618,f1611,f1600,f2537,f2543,f2544,f1026,f1256,f1056,f1054,f15,f1761,f14,f1738,f2533,f13,f2509,f2493,f2448,f2440,f2374,f2351,f2348,f2338,f2334,f20,f2331,f2325,f2116,f1774,f1632,f19,f1209,f1208,f1195,f1194,f1271,f1270,f898,f891,f817,f816,f803,f802,f750,f747,f2819,f2818,f2817,f2118,f2816,f1205,f1191,f425,f39,f1277,f3013,f37,f3014,f38,f3015,f31,f3016,f32,f3017,f33,f3018,f3021,f3024,f1280,f27,f25,f26,f1399]) ).

fof(f2603,plain,
    ( identity = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f2594,f2565]) ).

fof(f2594,plain,
    ( sk_c7 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(superposition,[],[f45,f2586]) ).

fof(f3048,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_7
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3047]) ).

fof(f3047,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_7
    | spl0_8 ),
    inference(global_subsumption,[],[f2728,f36,f18,f30,f12,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f11,f10,f35,f34,f17,f16,f8,f7,f5,f4,f9,f45,f380,f383,f381,f379,f396,f388,f404,f406,f243,f420,f21,f390,f465,f466,f461,f475,f472,f244,f705,f695,f748,f766,f257,f782,f783,f787,f788,f777,f845,f813,f860,f799,f877,f878,f774,f934,f911,f778,f986,f999,f897,f1033,f1070,f1202,f1238,f1241,f1065,f1053,f1158,f1263,f1302,f1236,f1584,f1598,f1615,f1723,f1628,f1631,f1673,f1732,f1746,f1769,f1770,f1771,f1772,f1760,f1866,f1869,f1870,f1871,f1872,f1240,f1933,f1942,f1956,f1957,f1958,f1959,f1961,f1962,f1677,f2064,f2077,f2078,f2095,f2099,f2101,f1998,f2179,f2185,f2189,f2191,f1627,f2229,f2238,f2255,f2268,f2276,f1630,f2411,f2389,f2395,f2461,f2463,f2400,f2464,f2465,f2467,f2468,f2406,f2407,f2408,f2449,f2471,f2367,f2267,f2254,f2239,f2230,f2481,f2159,f2074,f2057,f1259,f1949,f2503,f2505,f1922,f2506,f1919,f1912,f1874,f1868,f1849,f1742,f2517,f1733,f1620,f1618,f1611,f1600,f2537,f2543,f2544,f1026,f1256,f1056,f1054,f15,f1761,f14,f1738,f2533,f13,f2509,f2493,f2448,f2440,f2374,f2351,f2348,f2338,f2334,f20,f2331,f2325,f2116,f1774,f1632,f19,f1209,f1208,f1195,f1194,f1271,f1270,f898,f891,f817,f816,f803,f802,f750,f747,f2819,f2818,f2817,f2118,f2816,f1205,f1191,f425,f39,f1277,f3013,f37,f3014,f38,f3015,f31,f3016,f32,f3017,f33,f3018,f3021,f3024,f1280,f27,f25,f26,f1399]) ).

fof(f2728,plain,
    ( identity = sk_c5
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_7 ),
    inference(superposition,[],[f2727,f1]) ).

fof(f2727,plain,
    ( identity = multiply(identity,sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f2726,f2565]) ).

fof(f2726,plain,
    ( sk_c7 = multiply(identity,sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f2725,f2586]) ).

fof(f2725,plain,
    ( sk_c7 = multiply(sk_c8,sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f2724,f2642]) ).

fof(f2642,plain,
    ( identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f425,f2586]) ).

fof(f2724,plain,
    ( identity = inverse(sk_c1)
    | sk_c7 = multiply(sk_c8,sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f19,f2586]) ).

fof(f3046,plain,
    ( ~ spl0_1
    | spl0_3
    | ~ spl0_7
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3045]) ).

fof(f3045,plain,
    ( $false
    | ~ spl0_1
    | spl0_3
    | ~ spl0_7
    | spl0_8 ),
    inference(global_subsumption,[],[f1448,f36,f18,f30,f12,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f11,f10,f35,f34,f17,f16,f8,f7,f5,f4,f9,f45,f380,f383,f381,f379,f396,f388,f404,f406,f243,f420,f21,f390,f465,f466,f461,f475,f472,f244,f705,f695,f748,f766,f257,f782,f783,f787,f788,f777,f845,f813,f860,f799,f877,f878,f774,f934,f911,f778,f986,f999,f897,f1033,f1070,f1202,f1238,f1241,f1065,f1053,f1158,f1263,f1302,f1236,f1584,f1598,f1615,f1723,f1628,f1631,f1673,f1732,f1746,f1769,f1770,f1771,f1772,f1760,f1866,f1869,f1870,f1871,f1872,f1240,f1933,f1942,f1956,f1957,f1958,f1959,f1961,f1962,f1677,f2064,f2077,f2078,f2095,f2099,f2101,f1998,f2179,f2185,f2189,f2191,f1627,f2229,f2238,f2255,f2268,f2276,f1630,f2411,f2389,f2395,f2461,f2463,f2400,f2464,f2465,f2467,f2468,f2406,f2407,f2408,f2449,f2471,f2367,f2267,f2254,f2239,f2230,f2481,f2159,f2074,f2057,f1259,f1949,f2503,f2505,f1922,f2506,f1919,f1912,f1874,f1868,f1849,f1742,f2517,f1733,f1620,f1618,f1611,f1600,f2537,f2543,f2544,f1026,f1256,f1056,f1054,f15,f1761,f14,f1738,f2533,f13,f2509,f2493,f2448,f2440,f2374,f2351,f2348,f2338,f2334,f20,f2331,f2325,f2116,f1774,f1632,f19,f1209,f1208,f1195,f1194,f1271,f1270,f898,f891,f817,f816,f803,f802,f750,f747,f2819,f2818,f2817,f2118,f2816,f1205,f1191,f425,f39,f1277,f3013,f37,f3014,f38,f3015,f31,f3016,f32,f3017,f33,f3018,f3021,f3024,f1280,f27,f25,f26,f1399]) ).

fof(f3044,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_7
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3043]) ).

fof(f3043,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_7
    | spl0_8 ),
    inference(global_subsumption,[],[f2642,f36,f18,f30,f12,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f11,f10,f35,f34,f17,f16,f8,f7,f5,f4,f9,f45,f380,f383,f381,f379,f396,f388,f404,f406,f243,f420,f21,f390,f465,f466,f461,f475,f472,f244,f705,f695,f748,f766,f257,f782,f783,f787,f788,f777,f845,f813,f860,f799,f877,f878,f774,f934,f911,f778,f986,f999,f897,f1033,f1070,f1202,f1238,f1241,f1065,f1053,f1158,f1263,f1302,f1236,f1584,f1598,f1615,f1723,f1628,f1631,f1673,f1732,f1746,f1769,f1770,f1771,f1772,f1760,f1866,f1869,f1870,f1871,f1872,f1240,f1933,f1942,f1956,f1957,f1958,f1959,f1961,f1962,f1677,f2064,f2077,f2078,f2095,f2099,f2101,f1998,f2179,f2185,f2189,f2191,f1627,f2229,f2238,f2255,f2268,f2276,f1630,f2411,f2389,f2395,f2461,f2463,f2400,f2464,f2465,f2467,f2468,f2406,f2407,f2408,f2449,f2471,f2367,f2267,f2254,f2239,f2230,f2481,f2159,f2074,f2057,f1259,f1949,f2503,f2505,f1922,f2506,f1919,f1912,f1874,f1868,f1849,f1742,f2517,f1733,f1620,f1618,f1611,f1600,f2537,f2543,f2544,f1026,f1256,f1056,f1054,f15,f1761,f14,f1738,f2533,f13,f2509,f2493,f2448,f2440,f2374,f2351,f2348,f2338,f2334,f20,f2331,f2325,f2116,f1774,f1632,f19,f1209,f1208,f1195,f1194,f1271,f1270,f898,f891,f817,f816,f803,f802,f750,f747,f2819,f2818,f2817,f2118,f2816,f1205,f1191,f425,f39,f1277,f3013,f37,f3014,f38,f3015,f31,f3016,f32,f3017,f33,f3018,f3021,f3024,f1280,f27,f25,f26,f1399]) ).

fof(f3042,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3041]) ).

fof(f3041,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(global_subsumption,[],[f2643,f36,f18,f30,f12,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f11,f10,f35,f34,f17,f16,f8,f7,f5,f4,f9,f45,f380,f383,f381,f379,f396,f388,f404,f406,f243,f420,f21,f390,f465,f466,f461,f475,f472,f244,f705,f695,f748,f766,f257,f782,f783,f787,f788,f777,f845,f813,f860,f799,f877,f878,f774,f934,f911,f778,f986,f999,f897,f1033,f1070,f1202,f1238,f1241,f1065,f1053,f1158,f1263,f1302,f1236,f1584,f1598,f1615,f1723,f1628,f1631,f1673,f1732,f1746,f1769,f1770,f1771,f1772,f1760,f1866,f1869,f1870,f1871,f1872,f1240,f1933,f1942,f1956,f1957,f1958,f1959,f1961,f1962,f1677,f2064,f2077,f2078,f2095,f2099,f2101,f1998,f2179,f2185,f2189,f2191,f1627,f2229,f2238,f2255,f2268,f2276,f1630,f2411,f2389,f2395,f2461,f2463,f2400,f2464,f2465,f2467,f2468,f2406,f2407,f2408,f2449,f2471,f2367,f2267,f2254,f2239,f2230,f2481,f2159,f2074,f2057,f1259,f1949,f2503,f2505,f1922,f2506,f1919,f1912,f1874,f1868,f1849,f1742,f2517,f1733,f1620,f1618,f1611,f1600,f2537,f2543,f2544,f1026,f1256,f1056,f1054,f15,f1761,f14,f1738,f2533,f13,f2509,f2493,f2448,f2440,f2374,f2351,f2348,f2338,f2334,f20,f2331,f2325,f2116,f1774,f1632,f19,f1209,f1208,f1195,f1194,f1271,f1270,f898,f891,f817,f816,f803,f802,f750,f747,f2819,f2818,f2817,f2118,f2816,f1205,f1191,f425,f39,f1277,f3013,f37,f3014,f38,f3015,f31,f3016,f32,f3017,f33,f3018,f3021,f3024,f1280,f27,f25,f26,f1399]) ).

fof(f3040,plain,
    ( ~ spl0_1
    | spl0_3
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3039]) ).

fof(f3039,plain,
    ( $false
    | ~ spl0_1
    | spl0_3
    | spl0_8 ),
    inference(global_subsumption,[],[f36,f18,f30,f12,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f11,f10,f35,f34,f17,f16,f8,f7,f5,f4,f9,f45,f380,f383,f381,f379,f396,f388,f404,f406,f243,f420,f21,f390,f465,f466,f461,f475,f472,f244,f705,f695,f748,f766,f257,f782,f783,f787,f788,f777,f845,f813,f860,f799,f877,f878,f774,f934,f911,f778,f986,f999,f897,f1033,f1070,f1202,f1238,f1241,f1065,f1053,f1158,f1263,f1302,f1236,f1584,f1598,f1615,f1723,f1628,f1631,f1673,f1732,f1746,f1769,f1770,f1771,f1772,f1760,f1866,f1869,f1870,f1871,f1872,f1240,f1933,f1942,f1956,f1957,f1958,f1959,f1961,f1962,f1677,f2064,f2077,f2078,f2095,f2099,f2101,f1998,f2179,f2185,f2189,f2191,f1627,f2229,f2238,f2255,f2268,f2276,f1630,f2411,f2389,f2395,f2461,f2463,f2400,f2464,f2465,f2467,f2468,f2406,f2407,f2408,f2449,f2471,f2367,f2267,f2254,f2239,f2230,f2481,f2159,f2074,f2057,f1259,f1949,f2503,f2505,f1922,f2506,f1919,f1912,f1874,f1868,f1849,f1742,f2517,f1733,f1620,f1618,f1611,f1600,f2537,f2543,f2544,f1026,f1256,f1056,f1054,f15,f1761,f14,f1738,f2533,f13,f2509,f2493,f2448,f2440,f2374,f2351,f2348,f2338,f2334,f20,f2331,f2325,f2116,f1774,f1632,f19,f1209,f1208,f1195,f1194,f1271,f1270,f898,f891,f817,f816,f803,f802,f750,f747,f2819,f2818,f2817,f2118,f2816,f1205,f1191,f425,f39,f1277,f3013,f37,f3014,f38,f3015,f31,f3016,f32,f3017,f33,f3018,f3021,f3024,f1280,f27,f25,f26,f1399]) ).

fof(f3038,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3037]) ).

fof(f3037,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_8 ),
    inference(global_subsumption,[],[f1266,f36,f18,f30,f12,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f11,f10,f35,f34,f17,f16,f8,f7,f5,f4,f9,f45,f380,f383,f381,f379,f396,f388,f404,f406,f243,f420,f21,f390,f465,f466,f461,f475,f472,f244,f705,f695,f748,f766,f257,f782,f783,f787,f788,f777,f845,f813,f860,f799,f877,f878,f774,f934,f911,f778,f986,f999,f897,f1033,f1070,f1202,f1238,f1241,f1065,f1053,f1158,f1263,f1302,f1399,f1236,f1584,f1598,f1615,f1723,f1628,f1631,f1673,f1732,f1746,f1769,f1770,f1771,f1772,f1760,f1866,f1869,f1870,f1871,f1872,f1240,f1933,f1942,f1956,f1957,f1958,f1959,f1961,f1962,f1677,f2064,f2077,f2078,f2095,f2099,f2101,f1998,f2179,f2185,f2189,f2191,f1627,f2229,f2238,f2255,f2268,f2276,f1630,f2411,f2389,f2395,f2461,f2463,f2400,f2464,f2465,f2467,f2468,f2406,f2407,f2408,f2449,f2471,f2367,f2267,f2254,f2239,f2230,f2481,f2159,f2074,f2057,f1259,f1949,f2503,f2505,f1922,f2506,f1919,f1912,f1874,f1868,f1849,f1742,f2517,f1733,f1620,f1618,f1611,f1600,f2537,f2543,f2544,f1026,f1256,f1056,f1054,f15,f1761,f14,f1738,f2533,f13,f2509,f2493,f2448,f2440,f2374,f2351,f2348,f2338,f2334,f20,f2331,f2325,f2116,f1774,f1632,f19,f1209,f1208,f1195,f1194,f1271,f1270,f898,f891,f817,f816,f803,f802,f750,f747,f2819,f2818,f2817,f2118,f2816,f1205,f1191,f425,f39,f1277,f3013,f37,f3014,f38,f3015,f31,f3016,f32,f3017,f33,f3018,f3021,f3024,f1280,f27,f25,f26]) ).

fof(f1266,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c8 != sk_c7
        | identity != sk_c6
        | identity != inverse(X4)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X5)
        | sk_c8 != multiply(X4,identity)
        | sk_c8 != multiply(X5,sk_c8)
        | sk_c8 != multiply(X3,sk_c8)
        | sk_c8 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(inner_rewriting,[],[f1265]) ).

fof(f1265,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c8 != sk_c7
        | identity != sk_c6
        | identity != inverse(X4)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X5)
        | sk_c7 != multiply(X4,identity)
        | sk_c7 != multiply(X5,sk_c8)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1264,f412]) ).

fof(f3036,plain,
    ( ~ spl0_1
    | spl0_3
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3035]) ).

fof(f3035,plain,
    ( $false
    | ~ spl0_1
    | spl0_3
    | spl0_8 ),
    inference(global_subsumption,[],[f36,f18,f30,f12,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f11,f10,f35,f34,f17,f16,f8,f7,f5,f4,f9,f45,f380,f383,f381,f379,f396,f388,f404,f406,f243,f420,f21,f390,f465,f466,f461,f475,f472,f244,f705,f695,f748,f766,f257,f782,f783,f787,f788,f777,f845,f813,f860,f799,f877,f878,f774,f934,f911,f778,f986,f999,f897,f1033,f1070,f1202,f1238,f1241,f1065,f1053,f1158,f1263,f1302,f1399,f1236,f1584,f1598,f1615,f1723,f1628,f1631,f1673,f1732,f1746,f1769,f1770,f1771,f1772,f1760,f1866,f1869,f1870,f1871,f1872,f1240,f1933,f1942,f1956,f1957,f1958,f1959,f1961,f1962,f1677,f2064,f2077,f2078,f2095,f2099,f2101,f1998,f2179,f2185,f2189,f2191,f1627,f2229,f2238,f2255,f2268,f2276,f1630,f2411,f2389,f2395,f2461,f2463,f2400,f2464,f2465,f2467,f2468,f2406,f2407,f2408,f2449,f2471,f2367,f2267,f2254,f2239,f2230,f2481,f2159,f2074,f2057,f1259,f1949,f2503,f2505,f1922,f2506,f1919,f1912,f1874,f1868,f1849,f1742,f2517,f1733,f1620,f1618,f1611,f1600,f2537,f2543,f2544,f1026,f1256,f1056,f1054,f15,f1761,f14,f1738,f2533,f13,f2509,f2493,f2448,f2440,f2374,f2351,f2348,f2338,f2334,f20,f2331,f2325,f2116,f1774,f1632,f19,f1209,f1208,f1195,f1194,f1271,f1270,f898,f891,f817,f816,f803,f802,f750,f747,f2819,f2818,f2817,f2118,f2816,f1205,f1191,f425,f39,f1277,f3013,f37,f3014,f38,f3015,f31,f3016,f32,f3017,f33,f3018,f3021,f3024,f1280,f27,f25,f26]) ).

fof(f3034,plain,
    ( ~ spl0_1
    | spl0_3
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3033]) ).

fof(f3033,plain,
    ( $false
    | ~ spl0_1
    | spl0_3
    | spl0_8 ),
    inference(global_subsumption,[],[f36,f18,f30,f12,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f11,f10,f35,f34,f17,f16,f8,f7,f5,f4,f9,f45,f380,f383,f381,f379,f396,f388,f404,f406,f243,f420,f21,f390,f465,f466,f461,f475,f472,f244,f705,f695,f748,f766,f257,f782,f783,f787,f788,f777,f845,f813,f860,f799,f877,f878,f774,f934,f911,f778,f986,f999,f897,f1033,f1070,f1202,f1238,f1241,f1065,f1053,f1158,f1263,f26,f1302,f1399,f1236,f1584,f1598,f1615,f1723,f1628,f1631,f1673,f1732,f1746,f1769,f1770,f1771,f1772,f1760,f1866,f1869,f1870,f1871,f1872,f1240,f1933,f1942,f1956,f1957,f1958,f1959,f1961,f1962,f1677,f2064,f2077,f2078,f2095,f2099,f2101,f1998,f2179,f2185,f2189,f2191,f1627,f2229,f2238,f2255,f2268,f2276,f1630,f2411,f2389,f2395,f2461,f2463,f2400,f2464,f2465,f2467,f2468,f2406,f2407,f2408,f2449,f2471,f2367,f2267,f2254,f2239,f2230,f2481,f2159,f2074,f2057,f1259,f1949,f2503,f2505,f1922,f2506,f1919,f1912,f1874,f1868,f1849,f1742,f2517,f1733,f1620,f1618,f1611,f1600,f2537,f2543,f2544,f1026,f1256,f1056,f1054,f15,f1761,f14,f1738,f2533,f13,f2509,f2493,f2448,f2440,f2374,f2351,f2348,f2338,f2334,f20,f2331,f2325,f2116,f1774,f1632,f19,f1209,f1208,f1195,f1194,f1271,f1270,f898,f891,f817,f816,f803,f802,f750,f747,f2819,f2818,f2817,f2118,f2816,f1205,f1191,f425,f39,f1277,f3013,f37,f3014,f38,f3015,f31,f3016,f32,f3017,f33,f3018,f3021,f3024,f1280,f27,f25]) ).

fof(f3032,plain,
    ( ~ spl0_1
    | spl0_3
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3031]) ).

fof(f3031,plain,
    ( $false
    | ~ spl0_1
    | spl0_3
    | spl0_8 ),
    inference(global_subsumption,[],[f36,f18,f30,f12,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f11,f10,f35,f34,f17,f16,f8,f7,f5,f4,f9,f45,f380,f383,f381,f379,f396,f388,f404,f406,f243,f420,f21,f390,f465,f466,f461,f475,f472,f244,f705,f695,f748,f766,f257,f782,f783,f787,f788,f777,f845,f813,f860,f799,f877,f878,f774,f934,f911,f778,f986,f999,f897,f1033,f1070,f1202,f1238,f1241,f1065,f1053,f1158,f1263,f26,f25,f1302,f1399,f1236,f1584,f1598,f1615,f1723,f1628,f1631,f1673,f1732,f1746,f1769,f1770,f1771,f1772,f1760,f1866,f1869,f1870,f1871,f1872,f1240,f1933,f1942,f1956,f1957,f1958,f1959,f1961,f1962,f1677,f2064,f2077,f2078,f2095,f2099,f2101,f1998,f2179,f2185,f2189,f2191,f1627,f2229,f2238,f2255,f2268,f2276,f1630,f2411,f2389,f2395,f2461,f2463,f2400,f2464,f2465,f2467,f2468,f2406,f2407,f2408,f2449,f2471,f2367,f2267,f2254,f2239,f2230,f2481,f2159,f2074,f2057,f1259,f1949,f2503,f2505,f1922,f2506,f1919,f1912,f1874,f1868,f1849,f1742,f2517,f1733,f1620,f1618,f1611,f1600,f2537,f2543,f2544,f1026,f1256,f1056,f1054,f15,f1761,f14,f1738,f2533,f13,f2509,f2493,f2448,f2440,f2374,f2351,f2348,f2338,f2334,f20,f2331,f2325,f2116,f1774,f1632,f19,f1209,f1208,f1195,f1194,f1271,f1270,f898,f891,f817,f816,f803,f802,f750,f747,f2819,f2818,f2817,f2118,f2816,f1205,f1191,f425,f39,f1277,f3013,f37,f3014,f38,f3015,f31,f3016,f32,f3017,f33,f3018,f3021,f3024,f1280,f27]) ).

fof(f3030,plain,
    ( ~ spl0_1
    | spl0_3
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3029]) ).

fof(f3029,plain,
    ( $false
    | ~ spl0_1
    | spl0_3
    | spl0_8 ),
    inference(global_subsumption,[],[f36,f18,f30,f12,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f11,f10,f35,f34,f17,f16,f8,f7,f5,f4,f9,f45,f380,f383,f381,f379,f396,f388,f404,f406,f243,f420,f21,f390,f465,f466,f461,f475,f472,f244,f705,f695,f748,f766,f257,f782,f783,f787,f788,f777,f845,f813,f860,f799,f877,f878,f774,f934,f911,f778,f986,f999,f897,f1033,f1070,f1202,f1238,f1241,f1065,f1053,f1158,f1263,f26,f25,f27,f1302,f1399,f1236,f1584,f1598,f1615,f1723,f1628,f1631,f1673,f1732,f1746,f1769,f1770,f1771,f1772,f1760,f1866,f1869,f1870,f1871,f1872,f1240,f1933,f1942,f1956,f1957,f1958,f1959,f1961,f1962,f1677,f2064,f2077,f2078,f2095,f2099,f2101,f1998,f2179,f2185,f2189,f2191,f1627,f2229,f2238,f2255,f2268,f2276,f1630,f2411,f2389,f2395,f2461,f2463,f2400,f2464,f2465,f2467,f2468,f2406,f2407,f2408,f2449,f2471,f2367,f2267,f2254,f2239,f2230,f2481,f2159,f2074,f2057,f1259,f1949,f2503,f2505,f1922,f2506,f1919,f1912,f1874,f1868,f1849,f1742,f2517,f1733,f1620,f1618,f1611,f1600,f2537,f2543,f2544,f1026,f1256,f1056,f1054,f15,f1761,f14,f1738,f2533,f13,f2509,f2493,f2448,f2440,f2374,f2351,f2348,f2338,f2334,f20,f2331,f2325,f2116,f1774,f1632,f19,f1209,f1208,f1195,f1194,f1271,f1270,f898,f891,f817,f816,f803,f802,f750,f747,f2819,f2818,f2817,f2118,f2816,f1205,f1191,f425,f39,f1277,f3013,f37,f3014,f38,f3015,f31,f3016,f32,f3017,f33,f3018,f3021,f3024,f1280]) ).

fof(f3028,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3027]) ).

fof(f3027,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_8 ),
    inference(global_subsumption,[],[f1279,f36,f18,f30,f12,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f11,f10,f35,f34,f17,f16,f8,f7,f5,f4,f9,f45,f380,f383,f381,f379,f396,f388,f404,f406,f243,f420,f21,f390,f465,f466,f461,f475,f472,f244,f705,f695,f748,f766,f257,f782,f783,f787,f788,f777,f845,f813,f860,f799,f877,f878,f774,f934,f911,f778,f986,f999,f897,f1033,f1070,f1202,f1238,f1241,f1065,f1053,f1158,f1263,f26,f25,f1280,f27,f1302,f1399,f1236,f1584,f1598,f1615,f1723,f1628,f1631,f1673,f1732,f1746,f1769,f1770,f1771,f1772,f1760,f1866,f1869,f1870,f1871,f1872,f1240,f1933,f1942,f1956,f1957,f1958,f1959,f1961,f1962,f1677,f2064,f2077,f2078,f2095,f2099,f2101,f1998,f2179,f2185,f2189,f2191,f1627,f2229,f2238,f2255,f2268,f2276,f1630,f2411,f2389,f2395,f2461,f2463,f2400,f2464,f2465,f2467,f2468,f2406,f2407,f2408,f2449,f2471,f2367,f2267,f2254,f2239,f2230,f2481,f2159,f2074,f2057,f1259,f1949,f2503,f2505,f1922,f2506,f1919,f1912,f1874,f1868,f1849,f1742,f2517,f1733,f1620,f1618,f1611,f1600,f2537,f2543,f2544,f1026,f1256,f1056,f1054,f15,f1761,f14,f1738,f2533,f13,f2509,f2493,f2448,f2440,f2374,f2351,f2348,f2338,f2334,f20,f2331,f2325,f2116,f1774,f1632,f19,f1209,f1208,f1195,f1194,f1271,f1270,f898,f891,f817,f816,f803,f802,f750,f747,f2819,f2818,f2817,f2118,f2816,f1205,f1191,f425,f39,f1277,f3013,f37,f3014,f38,f3015,f31,f3016,f32,f3017,f33,f3018,f3021,f3024]) ).

fof(f1279,plain,
    ( identity = sk_c7
    | sk_c7 = multiply(sk_c8,sk_c6)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1278,f380]) ).

fof(f1278,plain,
    ( sk_c7 = multiply(sk_c7,sk_c8)
    | sk_c7 = multiply(sk_c8,sk_c6)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f23,f477]) ).

fof(f3026,plain,
    ( ~ spl0_1
    | spl0_3
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3025]) ).

fof(f3025,plain,
    ( $false
    | ~ spl0_1
    | spl0_3
    | spl0_8 ),
    inference(global_subsumption,[],[f36,f18,f30,f12,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f11,f10,f35,f34,f17,f16,f8,f7,f5,f4,f9,f45,f380,f383,f381,f379,f396,f388,f404,f406,f243,f420,f21,f390,f465,f466,f461,f475,f472,f244,f705,f695,f748,f766,f257,f782,f783,f787,f788,f777,f845,f813,f860,f799,f877,f878,f774,f934,f911,f778,f986,f999,f897,f1033,f1070,f1202,f1238,f1241,f1065,f1053,f1158,f1263,f26,f25,f1280,f27,f1302,f1399,f1236,f1584,f1598,f1615,f1723,f1628,f1631,f1673,f1732,f1746,f1769,f1770,f1771,f1772,f1760,f1866,f1869,f1870,f1871,f1872,f1240,f1933,f1942,f1956,f1957,f1958,f1959,f1961,f1962,f1677,f2064,f2077,f2078,f2095,f2099,f2101,f1998,f2179,f2185,f2189,f2191,f1627,f2229,f2238,f2255,f2268,f2276,f1630,f2411,f2389,f2395,f2461,f2463,f2400,f2464,f2465,f2467,f2468,f2406,f2407,f2408,f2449,f2471,f2367,f2267,f2254,f2239,f2230,f2481,f2159,f2074,f2057,f1259,f1949,f2503,f2505,f1922,f2506,f1919,f1912,f1874,f1868,f1849,f1742,f2517,f1733,f1620,f1618,f1611,f1600,f2537,f2543,f2544,f1026,f1256,f1056,f1054,f15,f1761,f14,f1738,f2533,f13,f2509,f2493,f2448,f2440,f2374,f2351,f2348,f2338,f2334,f20,f2331,f2325,f2116,f1774,f1632,f19,f1209,f1208,f1195,f1194,f1271,f1270,f898,f891,f817,f816,f803,f802,f750,f747,f2819,f2818,f2817,f2118,f2816,f1205,f1191,f425,f39,f1277,f3013,f37,f3014,f38,f3015,f31,f3016,f32,f3017,f33,f3018,f3021,f3024]) ).

fof(f3023,plain,
    ( ~ spl0_1
    | spl0_3
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3022]) ).

fof(f3022,plain,
    ( $false
    | ~ spl0_1
    | spl0_3
    | spl0_8 ),
    inference(global_subsumption,[],[f36,f18,f30,f12,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f11,f10,f35,f34,f17,f16,f8,f7,f5,f4,f9,f45,f380,f383,f381,f379,f396,f388,f404,f406,f243,f420,f21,f390,f465,f466,f461,f475,f472,f244,f705,f695,f748,f766,f257,f782,f783,f787,f788,f777,f845,f813,f860,f799,f877,f878,f774,f934,f911,f778,f986,f999,f897,f1033,f1070,f1202,f1238,f1241,f1065,f1053,f1158,f1263,f26,f25,f1280,f27,f1302,f1399,f1236,f1584,f1598,f1615,f1723,f1628,f1631,f1673,f1732,f1746,f1769,f1770,f1771,f1772,f1760,f1866,f1869,f1870,f1871,f1872,f1240,f1933,f1942,f1956,f1957,f1958,f1959,f1961,f1962,f1677,f2064,f2077,f2078,f2095,f2099,f2101,f1998,f2179,f2185,f2189,f2191,f1627,f2229,f2238,f2255,f2268,f2276,f1630,f2411,f2389,f2395,f2461,f2463,f2400,f2464,f2465,f2467,f2468,f2406,f2407,f2408,f2449,f2471,f2367,f2267,f2254,f2239,f2230,f2481,f2159,f2074,f2057,f1259,f1949,f2503,f2505,f1922,f2506,f1919,f1912,f1874,f1868,f1849,f1742,f2517,f1733,f1620,f1618,f1611,f1600,f2537,f2543,f2544,f1026,f1256,f1056,f1054,f15,f1761,f14,f1738,f2533,f13,f2509,f2493,f2448,f2440,f2374,f2351,f2348,f2338,f2334,f20,f2331,f2325,f2116,f1774,f1632,f19,f1209,f1208,f1195,f1194,f1271,f1270,f898,f891,f817,f816,f803,f802,f750,f747,f2819,f2818,f2817,f2118,f2816,f1205,f1191,f425,f39,f1277,f3013,f37,f3014,f38,f3015,f31,f3016,f32,f3017,f33,f3018,f3021]) ).

fof(f3011,plain,
    ( spl0_5
    | spl0_5
    | spl0_5
    | spl0_6
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f3007,f1398,f424,f47,f43,f1246,f1243,f1243,f1243]) ).

fof(f3007,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(identity,X7)
        | identity != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | identity != multiply(X4,identity)
        | identity != inverse(X5)
        | identity != inverse(X7)
        | identity != inverse(X3)
        | identity != inverse(X4) )
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f3006,f777]) ).

fof(f3006,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(identity,multiply(X7,identity))
        | identity != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | identity != multiply(X4,identity)
        | identity != inverse(X5)
        | identity != inverse(X7)
        | identity != inverse(X3)
        | identity != inverse(X4) )
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f3005,f2854]) ).

fof(f2854,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2844,f2]) ).

fof(f2844,plain,
    ( sk_c8 = multiply(inverse(identity),identity)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f381,f2822]) ).

fof(f2822,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f2561,f36,f18,f30,f12,f24,f1,f2,f6,f49,f51,f3,f70,f67,f247,f265,f251,f41,f29,f28,f23,f22,f11,f10,f35,f34,f17,f16,f8,f7,f5,f4,f9,f45,f380,f383,f384,f381,f385,f393,f379,f394,f396,f387,f402,f388,f404,f406,f391,f407,f410,f399,f412,f243,f420,f21,f390,f465,f466,f461,f475,f472,f478,f477,f482,f244,f705,f695,f748,f766,f257,f782,f783,f787,f788,f777,f845,f813,f860,f799,f877,f878,f774,f934,f911,f778,f986,f999,f897,f1033,f1070,f1202,f1238,f1241,f1065,f1053,f1158,f1263,f1265,f1266,f32,f31,f1276,f1277,f26,f25,f1279,f1280,f38,f37,f1300,f33,f27,f39,f1302,f1236,f1584,f1598,f1615,f1723,f1628,f1631,f1673,f1732,f1746,f1769,f1770,f1771,f1772,f1760,f1866,f1869,f1870,f1871,f1872,f1240,f1933,f1942,f1956,f1957,f1958,f1959,f1961,f1962,f1677,f2064,f2077,f2078,f2095,f2099,f2101,f1998,f2179,f2185,f2189,f2191,f1627,f2229,f2238,f2255,f2268,f2276,f1630,f2411,f2389,f2395,f2461,f2463,f2400,f2464,f2465,f2467,f2468,f2406,f2407,f2408,f2449,f2471,f2421,f2368,f2367,f2267,f2254,f2475,f2240,f2239,f2479,f2231,f2230,f2481,f2483,f2160,f2159,f2074,f2073,f2488,f2057,f1259,f2026,f1950,f1949,f2503,f2505,f1922,f2506,f1919,f2507,f1913,f1912,f1874,f1868,f1885,f1850,f1849,f1762,f1742,f1741,f1791,f2517,f1733,f2522,f1621,f1620,f1618,f1611,f1600,f2537,f2543,f2544,f1026,f1256,f1255,f1252,f1250,f1249,f1169,f1056,f1054,f15,f708,f2571,f425,f2512,f1761,f2520,f14,f2816,f2519,f2516,f1738,f1737,f2536,f2535,f2533,f2528,f2526,f2502,f13,f2817,f2501,f2509,f2493,f2448,f2440,f2374,f2351,f2348,f2338,f2334,f20,f2818,f2331,f2325,f2116,f1774,f1632,f19,f2819,f1209,f1208,f1195,f1194,f1271,f1270,f898,f891,f817,f816,f803,f802,f750,f747,f2492,f2490,f2118,f2117,f2110,f1205,f1204,f1203,f1191,f1190,f1189]) ).

fof(f1189,plain,
    ( identity = inverse(identity)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1071,f51]) ).

fof(f1071,plain,
    ( identity = inverse(multiply(sk_c8,sk_c3))
    | ~ spl0_2 ),
    inference(superposition,[],[f897,f70]) ).

fof(f1190,plain,
    ( identity = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1072,f461]) ).

fof(f1072,plain,
    ( identity = inverse(multiply(sk_c8,sk_c7))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f897,f399]) ).

fof(f1203,plain,
    ( identity = inverse(identity)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1085,f51]) ).

fof(f1085,plain,
    ( identity = inverse(multiply(sk_c8,sk_c3))
    | ~ spl0_2 ),
    inference(superposition,[],[f70,f897]) ).

fof(f1204,plain,
    ( identity = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1086,f461]) ).

fof(f1086,plain,
    ( identity = inverse(multiply(sk_c8,sk_c7))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f399,f897]) ).

fof(f2110,plain,
    ( identity = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2109,f2]) ).

fof(f2109,plain,
    ( inverse(identity) = multiply(inverse(sk_c8),sk_c8)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2066,f482]) ).

fof(f2066,plain,
    ( inverse(identity) = multiply(inverse(sk_c8),inverse(sk_c7))
    | ~ spl0_1 ),
    inference(superposition,[],[f1677,f381]) ).

fof(f2117,plain,
    ( identity = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2069,f2]) ).

fof(f2069,plain,
    ( inverse(identity) = multiply(inverse(sk_c8),sk_c8)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1677,f412]) ).

fof(f2490,plain,
    ( identity = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2489,f461]) ).

fof(f2489,plain,
    ( multiply(sk_c8,sk_c7) = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2071,f49]) ).

fof(f2071,plain,
    ( inverse(identity) = multiply(inverse(sk_c3),sk_c7)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1677,f384]) ).

fof(f2492,plain,
    ( identity = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2491,f461]) ).

fof(f2491,plain,
    ( multiply(sk_c8,sk_c7) = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2111,f49]) ).

fof(f2111,plain,
    ( inverse(identity) = multiply(inverse(sk_c3),sk_c7)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2067,f799]) ).

fof(f2067,plain,
    ( inverse(identity) = multiply(inverse(sk_c3),inverse(inverse(sk_c7)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1677,f391]) ).

fof(f2501,plain,
    ( sk_c7 = multiply(sk_c7,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1935,f477]) ).

fof(f1935,plain,
    ( sk_c7 = multiply(sk_c3,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1240,f385]) ).

fof(f2502,plain,
    ( sk_c8 = multiply(sk_c8,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1934,f482]) ).

fof(f1934,plain,
    ( inverse(sk_c7) = multiply(sk_c8,inverse(identity))
    | ~ spl0_1 ),
    inference(superposition,[],[f1240,f388]) ).

fof(f2526,plain,
    ( sk_c7 = multiply(sk_c7,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2525,f799]) ).

fof(f2525,plain,
    ( inverse(inverse(sk_c7)) = multiply(sk_c7,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1607,f477]) ).

fof(f1607,plain,
    ( inverse(inverse(sk_c7)) = multiply(sk_c3,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1236,f385]) ).

fof(f2528,plain,
    ( sk_c7 = multiply(sk_c7,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2527,f45]) ).

fof(f2527,plain,
    ( inverse(sk_c8) = multiply(sk_c7,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1606,f477]) ).

fof(f1606,plain,
    ( inverse(sk_c8) = multiply(sk_c3,inverse(identity))
    | ~ spl0_2 ),
    inference(superposition,[],[f1236,f51]) ).

fof(f2535,plain,
    ( sk_c8 = multiply(sk_c8,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2534,f482]) ).

fof(f2534,plain,
    ( inverse(sk_c7) = multiply(sk_c8,inverse(identity))
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1603,f799]) ).

fof(f1603,plain,
    ( inverse(inverse(inverse(sk_c7))) = multiply(sk_c8,inverse(identity))
    | ~ spl0_1 ),
    inference(superposition,[],[f1236,f388]) ).

fof(f2536,plain,
    ( sk_c8 = multiply(sk_c8,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1602,f482]) ).

fof(f1602,plain,
    ( inverse(sk_c7) = multiply(sk_c8,inverse(identity))
    | ~ spl0_1 ),
    inference(superposition,[],[f1236,f380]) ).

fof(f1737,plain,
    ( sk_c8 = multiply(sk_c8,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1673,f412]) ).

fof(f2516,plain,
    ( sk_c7 = multiply(sk_c7,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1739,f477]) ).

fof(f1739,plain,
    ( sk_c7 = multiply(sk_c3,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1673,f384]) ).

fof(f2519,plain,
    ( sk_c7 = multiply(sk_c7,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2518,f799]) ).

fof(f2518,plain,
    ( inverse(inverse(sk_c7)) = multiply(sk_c7,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1735,f477]) ).

fof(f1735,plain,
    ( inverse(inverse(sk_c7)) = multiply(sk_c3,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1673,f391]) ).

fof(f2520,plain,
    ( sk_c8 = multiply(sk_c8,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1734,f482]) ).

fof(f1734,plain,
    ( inverse(sk_c7) = multiply(sk_c8,inverse(identity))
    | ~ spl0_1 ),
    inference(superposition,[],[f1673,f381]) ).

fof(f2512,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c7),sk_c8) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1764,f477]) ).

fof(f1764,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c3),sk_c8) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f1673,f49]) ).

fof(f2571,plain,
    ( identity = sk_c7
    | sk_c8 = inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2570,f380]) ).

fof(f2570,plain,
    ( sk_c7 = multiply(sk_c7,sk_c8)
    | sk_c8 = inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f17,f477]) ).

fof(f708,plain,
    ( identity = sk_c7
    | sk_c7 = multiply(sk_c1,sk_c8)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f707,f380]) ).

fof(f707,plain,
    ( sk_c7 = multiply(sk_c7,sk_c8)
    | sk_c7 = multiply(sk_c1,sk_c8)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f11,f387]) ).

fof(f1169,plain,
    ( identity = multiply(sk_c8,multiply(sk_c7,inverse(identity)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1059,f387]) ).

fof(f1059,plain,
    ( identity = multiply(sk_c8,multiply(sk_c3,inverse(identity)))
    | ~ spl0_2 ),
    inference(superposition,[],[f897,f51]) ).

fof(f1249,plain,
    ( ! [X0] : sk_c8 = multiply(X0,inverse(multiply(sk_c7,X0)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1227,f412]) ).

fof(f1227,plain,
    ( ! [X0] : multiply(sk_c8,identity) = multiply(X0,inverse(multiply(sk_c7,X0)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1100,f387]) ).

fof(f1100,plain,
    ( ! [X0] : multiply(sk_c8,identity) = multiply(X0,inverse(multiply(sk_c3,X0)))
    | ~ spl0_2 ),
    inference(superposition,[],[f70,f897]) ).

fof(f1250,plain,
    ( ! [X0] : sk_c8 = multiply(X0,inverse(multiply(sk_c7,X0)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1097,f412]) ).

fof(f1097,plain,
    ( ! [X0] : multiply(sk_c8,identity) = multiply(X0,inverse(multiply(sk_c7,X0)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f399,f897]) ).

fof(f1252,plain,
    ( ! [X0] : sk_c7 = multiply(X0,inverse(multiply(sk_c8,X0)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1251,f477]) ).

fof(f1251,plain,
    ( ! [X0] : sk_c3 = multiply(X0,inverse(multiply(sk_c8,X0)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1096,f384]) ).

fof(f1096,plain,
    ( ! [X0] : multiply(sk_c7,identity) = multiply(X0,inverse(multiply(sk_c8,X0)))
    | ~ spl0_1 ),
    inference(superposition,[],[f379,f897]) ).

fof(f1255,plain,
    ( identity = multiply(sk_c8,multiply(sk_c7,inverse(identity)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1171,f482]) ).

fof(f1171,plain,
    ( identity = multiply(inverse(sk_c7),multiply(sk_c7,inverse(identity)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1060,f387]) ).

fof(f1060,plain,
    ( identity = multiply(inverse(sk_c7),multiply(sk_c3,inverse(identity)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f897,f385]) ).

fof(f1621,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c7)) = multiply(sk_c8,inverse(X0))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f399,f1236]) ).

fof(f2522,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c7)) = multiply(sk_c8,inverse(X0))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1624,f477]) ).

fof(f1624,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c3)) = multiply(sk_c8,inverse(X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f70,f1236]) ).

fof(f1791,plain,
    ( ! [X0] : sk_c8 = multiply(X0,inverse(multiply(sk_c7,X0)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1740,f387]) ).

fof(f1740,plain,
    ( ! [X0] : sk_c8 = multiply(X0,inverse(multiply(sk_c3,X0)))
    | ~ spl0_2 ),
    inference(superposition,[],[f1673,f70]) ).

fof(f1741,plain,
    ( ! [X0] : sk_c8 = multiply(X0,inverse(multiply(sk_c7,X0)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1673,f399]) ).

fof(f1762,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c7),sk_c8) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1673,f482]) ).

fof(f1850,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c8),sk_c7) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1760,f482]) ).

fof(f1885,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c8),sk_c7) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1852,f477]) ).

fof(f1852,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c8),sk_c3) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f1760,f49]) ).

fof(f1913,plain,
    ( ! [X0] : sk_c7 = multiply(X0,inverse(multiply(sk_c8,X0)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1240,f482]) ).

fof(f2507,plain,
    ( ! [X0] : sk_c7 = multiply(X0,inverse(multiply(sk_c8,X0)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1915,f477]) ).

fof(f1915,plain,
    ( ! [X0] : sk_c3 = multiply(X0,inverse(multiply(sk_c8,X0)))
    | ~ spl0_2 ),
    inference(superposition,[],[f1240,f49]) ).

fof(f1950,plain,
    ( ! [X0] : multiply(sk_c8,X0) = inverse(multiply(inverse(X0),sk_c7))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f399,f1240]) ).

fof(f2026,plain,
    ( ! [X0] : multiply(sk_c8,X0) = inverse(multiply(inverse(X0),sk_c7))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1953,f477]) ).

fof(f1953,plain,
    ( ! [X0] : multiply(sk_c8,X0) = inverse(multiply(inverse(X0),sk_c3))
    | ~ spl0_2 ),
    inference(superposition,[],[f70,f1240]) ).

fof(f2488,plain,
    ( ! [X0] : inverse(multiply(sk_c7,X0)) = multiply(inverse(X0),sk_c8)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2072,f387]) ).

fof(f2072,plain,
    ( ! [X0] : inverse(multiply(sk_c3,X0)) = multiply(inverse(X0),sk_c8)
    | ~ spl0_2 ),
    inference(superposition,[],[f1677,f70]) ).

fof(f2073,plain,
    ( ! [X0] : inverse(multiply(sk_c7,X0)) = multiply(inverse(X0),sk_c8)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1677,f399]) ).

fof(f2160,plain,
    ( ! [X0] : sk_c7 = multiply(inverse(multiply(X0,sk_c8)),X0)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1998,f482]) ).

fof(f2483,plain,
    ( ! [X0] : sk_c7 = multiply(inverse(multiply(X0,sk_c8)),X0)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2162,f477]) ).

fof(f2162,plain,
    ( ! [X0] : sk_c3 = multiply(inverse(multiply(X0,sk_c8)),X0)
    | ~ spl0_2 ),
    inference(superposition,[],[f1998,f49]) ).

fof(f2231,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c7)) = multiply(sk_c8,inverse(X0))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1627,f482]) ).

fof(f2479,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c7)) = multiply(sk_c8,inverse(X0))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2233,f477]) ).

fof(f2233,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c3)) = multiply(sk_c8,inverse(X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f1627,f49]) ).

fof(f2240,plain,
    ( ! [X0] : inverse(multiply(sk_c7,X0)) = multiply(inverse(X0),sk_c8)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1627,f482]) ).

fof(f2475,plain,
    ( ! [X0] : inverse(multiply(sk_c7,X0)) = multiply(inverse(X0),sk_c8)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2242,f387]) ).

fof(f2242,plain,
    ( ! [X0] : inverse(multiply(sk_c3,X0)) = multiply(inverse(X0),sk_c8)
    | ~ spl0_2 ),
    inference(superposition,[],[f1627,f49]) ).

fof(f2368,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c8)) = multiply(sk_c7,inverse(X0))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1630,f482]) ).

fof(f2421,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c8)) = multiply(sk_c7,inverse(X0))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2370,f387]) ).

fof(f2370,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c8)) = multiply(sk_c3,inverse(X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f1630,f49]) ).

fof(f1300,plain,
    ( identity = sk_c7
    | sk_c6 = inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1299,f380]) ).

fof(f1299,plain,
    ( sk_c7 = multiply(sk_c7,sk_c8)
    | sk_c6 = inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f35,f477]) ).

fof(f478,plain,
    ( sk_c7 = sk_c3
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f384,f472]) ).

fof(f410,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(inverse(inverse(sk_c7)),X0)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f409,f387]) ).

fof(f409,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(inverse(sk_c7)),X0)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f408,f1]) ).

fof(f408,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(inverse(sk_c7)),multiply(identity,X0))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f391]) ).

fof(f407,plain,
    ( identity = multiply(inverse(inverse(inverse(sk_c7))),sk_c3)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f67,f391]) ).

fof(f402,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f400,f49]) ).

fof(f400,plain,
    ( ! [X0] : multiply(inverse(sk_c3),multiply(sk_c7,X0)) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f67,f387]) ).

fof(f394,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,X0)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f379,f70]) ).

fof(f393,plain,
    ( ! [X0] : multiply(inverse(sk_c7),multiply(sk_c3,X0)) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f392,f1]) ).

fof(f392,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(sk_c7),multiply(sk_c3,X0))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f385]) ).

fof(f251,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(sk_c8),X0)
    | ~ spl0_2 ),
    inference(superposition,[],[f67,f70]) ).

fof(f2561,plain,
    ( sk_c8 = sk_c7
    | identity = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2560,f412]) ).

fof(f2560,plain,
    ( sk_c7 = multiply(sk_c8,identity)
    | identity = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1279,f1400]) ).

fof(f3005,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | identity != multiply(X4,identity)
        | identity != inverse(X5)
        | identity != inverse(X7)
        | identity != inverse(X3)
        | identity != inverse(X4)
        | sk_c8 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f3004,f2854]) ).

fof(f3004,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(X5,identity)
        | identity != multiply(X4,identity)
        | identity != inverse(X5)
        | identity != inverse(X7)
        | identity != inverse(X3)
        | identity != inverse(X4)
        | sk_c8 != multiply(X3,sk_c8)
        | sk_c8 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f3003,f2854]) ).

fof(f3003,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(X4,identity)
        | identity != inverse(X5)
        | identity != inverse(X7)
        | identity != inverse(X3)
        | identity != inverse(X4)
        | sk_c8 != multiply(X5,sk_c8)
        | sk_c8 != multiply(X3,sk_c8)
        | sk_c8 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f3002,f2854]) ).

fof(f3002,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X5)
        | identity != inverse(X7)
        | identity != inverse(X3)
        | identity != inverse(X4)
        | sk_c8 != multiply(X4,identity)
        | sk_c8 != multiply(X5,sk_c8)
        | sk_c8 != multiply(X3,sk_c8)
        | sk_c8 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f3001,f2854]) ).

fof(f3001,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X7)
        | identity != inverse(X3)
        | identity != inverse(X4)
        | sk_c8 != inverse(X5)
        | sk_c8 != multiply(X4,identity)
        | sk_c8 != multiply(X5,sk_c8)
        | sk_c8 != multiply(X3,sk_c8)
        | sk_c8 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f3000,f2854]) ).

fof(f3000,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X3)
        | identity != inverse(X4)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X5)
        | sk_c8 != multiply(X4,identity)
        | sk_c8 != multiply(X5,sk_c8)
        | sk_c8 != multiply(X3,sk_c8)
        | sk_c8 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2999,f2854]) ).

fof(f2999,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X4)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X5)
        | sk_c8 != multiply(X4,identity)
        | sk_c8 != multiply(X5,sk_c8)
        | sk_c8 != multiply(X3,sk_c8)
        | sk_c8 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f2998,f2854]) ).

fof(f2998,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != sk_c8
        | identity != inverse(X4)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X5)
        | sk_c8 != multiply(X4,identity)
        | sk_c8 != multiply(X5,sk_c8)
        | sk_c8 != multiply(X3,sk_c8)
        | sk_c8 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2043,f2822]) ).

fof(f2043,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c8 != sk_c7
        | identity != inverse(X4)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X5)
        | sk_c8 != multiply(X4,identity)
        | sk_c8 != multiply(X5,sk_c8)
        | sk_c8 != multiply(X3,sk_c8)
        | sk_c8 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f1266,f1400]) ).

fof(f2815,plain,
    ( spl0_5
    | spl0_5
    | spl0_5
    | spl0_6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f2800,f1398,f1394,f47,f43,f1246,f1243,f1243,f1243]) ).

fof(f2800,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(identity,X7)
        | identity != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | identity != multiply(X4,identity)
        | identity != inverse(X5)
        | identity != inverse(X7)
        | identity != inverse(X3)
        | identity != inverse(X4) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2799,f777]) ).

fof(f2799,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(identity,multiply(X7,identity))
        | identity != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | identity != multiply(X4,identity)
        | identity != inverse(X5)
        | identity != inverse(X7)
        | identity != inverse(X3)
        | identity != inverse(X4) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2798,f2586]) ).

fof(f2798,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | identity != multiply(X4,identity)
        | identity != inverse(X5)
        | identity != inverse(X7)
        | identity != inverse(X3)
        | identity != inverse(X4)
        | sk_c8 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2797,f2586]) ).

fof(f2797,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(X5,identity)
        | identity != multiply(X4,identity)
        | identity != inverse(X5)
        | identity != inverse(X7)
        | identity != inverse(X3)
        | identity != inverse(X4)
        | sk_c8 != multiply(X3,sk_c8)
        | sk_c8 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2796,f2586]) ).

fof(f2796,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(X4,identity)
        | identity != inverse(X5)
        | identity != inverse(X7)
        | identity != inverse(X3)
        | identity != inverse(X4)
        | sk_c8 != multiply(X5,sk_c8)
        | sk_c8 != multiply(X3,sk_c8)
        | sk_c8 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2795,f2586]) ).

fof(f2795,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X5)
        | identity != inverse(X7)
        | identity != inverse(X3)
        | identity != inverse(X4)
        | sk_c8 != multiply(X4,identity)
        | sk_c8 != multiply(X5,sk_c8)
        | sk_c8 != multiply(X3,sk_c8)
        | sk_c8 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2794,f2586]) ).

fof(f2794,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X7)
        | identity != inverse(X3)
        | identity != inverse(X4)
        | sk_c8 != inverse(X5)
        | sk_c8 != multiply(X4,identity)
        | sk_c8 != multiply(X5,sk_c8)
        | sk_c8 != multiply(X3,sk_c8)
        | sk_c8 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2793,f2586]) ).

fof(f2793,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X3)
        | identity != inverse(X4)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X5)
        | sk_c8 != multiply(X4,identity)
        | sk_c8 != multiply(X5,sk_c8)
        | sk_c8 != multiply(X3,sk_c8)
        | sk_c8 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2792,f2586]) ).

fof(f2792,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X4)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X5)
        | sk_c8 != multiply(X4,identity)
        | sk_c8 != multiply(X5,sk_c8)
        | sk_c8 != multiply(X3,sk_c8)
        | sk_c8 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f2791,f2586]) ).

fof(f2791,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != sk_c8
        | identity != inverse(X4)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X5)
        | sk_c8 != multiply(X4,identity)
        | sk_c8 != multiply(X5,sk_c8)
        | sk_c8 != multiply(X3,sk_c8)
        | sk_c8 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2043,f2565]) ).

fof(f2470,plain,
    ( spl0_5
    | spl0_5
    | spl0_5
    | spl0_6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f2053,f1398,f424,f47,f43,f1246,f1243,f1243,f1243]) ).

fof(f2053,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(identity,X7)
        | identity != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | identity != multiply(X4,identity)
        | identity != inverse(X5)
        | identity != inverse(X7)
        | identity != inverse(X3)
        | identity != inverse(X4) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2052,f777]) ).

fof(f2052,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(identity,multiply(X7,identity))
        | identity != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | identity != multiply(X4,identity)
        | identity != inverse(X5)
        | identity != inverse(X7)
        | identity != inverse(X3)
        | identity != inverse(X4) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2051,f1319]) ).

fof(f1319,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f1309,f2]) ).

fof(f1309,plain,
    ( sk_c8 = multiply(inverse(identity),identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f381,f1290]) ).

fof(f1290,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(duplicate_literal_removal,[],[f1289]) ).

fof(f1289,plain,
    ( identity = sk_c7
    | identity = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f1288,f380]) ).

fof(f1288,plain,
    ( sk_c7 = multiply(sk_c7,sk_c8)
    | identity = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f1287,f477]) ).

fof(f1287,plain,
    ( sk_c7 = multiply(sk_c3,sk_c8)
    | identity = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f708,f442]) ).

fof(f442,plain,
    ( sk_c3 = sk_c1
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f441,f384]) ).

fof(f441,plain,
    ( sk_c1 = multiply(sk_c7,identity)
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f438,f45]) ).

fof(f438,plain,
    ( sk_c1 = multiply(inverse(sk_c8),identity)
    | ~ spl0_3 ),
    inference(superposition,[],[f67,f433]) ).

fof(f433,plain,
    ( identity = multiply(sk_c8,sk_c1)
    | ~ spl0_3 ),
    inference(superposition,[],[f2,f426]) ).

fof(f426,plain,
    ( sk_c8 = inverse(sk_c1)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f424]) ).

fof(f2051,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | identity != multiply(X4,identity)
        | identity != inverse(X5)
        | identity != inverse(X7)
        | identity != inverse(X3)
        | identity != inverse(X4)
        | sk_c8 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2050,f1319]) ).

fof(f2050,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(X5,identity)
        | identity != multiply(X4,identity)
        | identity != inverse(X5)
        | identity != inverse(X7)
        | identity != inverse(X3)
        | identity != inverse(X4)
        | sk_c8 != multiply(X3,sk_c8)
        | sk_c8 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2049,f1319]) ).

fof(f2049,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(X4,identity)
        | identity != inverse(X5)
        | identity != inverse(X7)
        | identity != inverse(X3)
        | identity != inverse(X4)
        | sk_c8 != multiply(X5,sk_c8)
        | sk_c8 != multiply(X3,sk_c8)
        | sk_c8 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2048,f1319]) ).

fof(f2048,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X5)
        | identity != inverse(X7)
        | identity != inverse(X3)
        | identity != inverse(X4)
        | sk_c8 != multiply(X4,identity)
        | sk_c8 != multiply(X5,sk_c8)
        | sk_c8 != multiply(X3,sk_c8)
        | sk_c8 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2047,f1319]) ).

fof(f2047,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X7)
        | identity != inverse(X3)
        | identity != inverse(X4)
        | sk_c8 != inverse(X5)
        | sk_c8 != multiply(X4,identity)
        | sk_c8 != multiply(X5,sk_c8)
        | sk_c8 != multiply(X3,sk_c8)
        | sk_c8 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2046,f1319]) ).

fof(f2046,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X3)
        | identity != inverse(X4)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X5)
        | sk_c8 != multiply(X4,identity)
        | sk_c8 != multiply(X5,sk_c8)
        | sk_c8 != multiply(X3,sk_c8)
        | sk_c8 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2045,f1319]) ).

fof(f2045,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X4)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X5)
        | sk_c8 != multiply(X4,identity)
        | sk_c8 != multiply(X5,sk_c8)
        | sk_c8 != multiply(X3,sk_c8)
        | sk_c8 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f2044,f1319]) ).

fof(f2044,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != sk_c8
        | identity != inverse(X4)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X5)
        | sk_c8 != multiply(X4,identity)
        | sk_c8 != multiply(X5,sk_c8)
        | sk_c8 != multiply(X3,sk_c8)
        | sk_c8 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2043,f1290]) ).

fof(f1504,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1503]) ).

fof(f1503,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_8 ),
    inference(subsumption_resolution,[],[f1502,f1399]) ).

fof(f1502,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_8 ),
    inference(forward_demodulation,[],[f1494,f2]) ).

fof(f1494,plain,
    ( sk_c6 = multiply(inverse(identity),identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_8 ),
    inference(superposition,[],[f67,f1490]) ).

fof(f1490,plain,
    ( identity = multiply(identity,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_8 ),
    inference(forward_demodulation,[],[f1489,f1290]) ).

fof(f1489,plain,
    ( sk_c7 = multiply(identity,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_8 ),
    inference(forward_demodulation,[],[f1488,f1319]) ).

fof(f1488,plain,
    ( sk_c7 = multiply(sk_c8,sk_c6)
    | ~ spl0_1
    | spl0_8 ),
    inference(subsumption_resolution,[],[f1280,f1399]) ).

fof(f1499,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1498]) ).

fof(f1498,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_8 ),
    inference(subsumption_resolution,[],[f1492,f1399]) ).

fof(f1492,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_8 ),
    inference(superposition,[],[f1,f1490]) ).

fof(f1497,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1496]) ).

fof(f1496,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_8 ),
    inference(subsumption_resolution,[],[f1491,f1399]) ).

fof(f1491,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_8 ),
    inference(superposition,[],[f1490,f1]) ).

fof(f1401,plain,
    ( spl0_7
    | spl0_8
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f1302,f43,f1398,f1394]) ).

fof(f1248,plain,
    ( spl0_5
    | spl0_5
    | spl0_5
    | spl0_6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f955,f428,f424,f47,f43,f1246,f1243,f1243,f1243]) ).

fof(f955,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(identity,X7)
        | identity != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | identity != multiply(X4,identity)
        | identity != inverse(X5)
        | identity != inverse(X7)
        | identity != inverse(X3)
        | identity != inverse(X4) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(subsumption_resolution,[],[f954,f461]) ).

fof(f954,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(sk_c8,sk_c7)
        | identity != multiply(identity,X7)
        | identity != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | identity != multiply(X4,identity)
        | identity != inverse(X5)
        | identity != inverse(X7)
        | identity != inverse(X3)
        | identity != inverse(X4) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f953,f608]) ).

fof(f608,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(superposition,[],[f607,f1]) ).

fof(f607,plain,
    ( identity = multiply(identity,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f606,f529]) ).

fof(f529,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f528,f380]) ).

fof(f528,plain,
    ( sk_c7 = multiply(sk_c7,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f527,f477]) ).

fof(f527,plain,
    ( sk_c7 = multiply(sk_c3,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f526,f442]) ).

fof(f526,plain,
    ( sk_c7 = multiply(sk_c1,sk_c8)
    | spl0_4 ),
    inference(subsumption_resolution,[],[f15,f429]) ).

fof(f429,plain,
    ( sk_c8 != inverse(sk_c4)
    | spl0_4 ),
    inference(avatar_component_clause,[],[f428]) ).

fof(f606,plain,
    ( sk_c7 = multiply(identity,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f605,f542]) ).

fof(f542,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f532,f2]) ).

fof(f532,plain,
    ( sk_c8 = multiply(inverse(identity),identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(superposition,[],[f381,f529]) ).

fof(f605,plain,
    ( sk_c7 = multiply(sk_c8,sk_c6)
    | spl0_4 ),
    inference(subsumption_resolution,[],[f27,f429]) ).

fof(f953,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(identity,X7)
        | identity != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | identity != multiply(X4,identity)
        | identity != inverse(X5)
        | identity != inverse(X7)
        | identity != inverse(X3)
        | identity != inverse(X4)
        | multiply(sk_c8,sk_c7) != sk_c6 )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f952,f529]) ).

fof(f952,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != multiply(identity,X7)
        | identity != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | identity != multiply(X4,identity)
        | identity != inverse(X5)
        | identity != inverse(X7)
        | identity != inverse(X3)
        | identity != inverse(X4)
        | multiply(sk_c8,sk_c7) != sk_c6 )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f951,f777]) ).

fof(f951,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != multiply(identity,multiply(X7,identity))
        | identity != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | identity != multiply(X4,identity)
        | identity != inverse(X5)
        | identity != inverse(X7)
        | identity != inverse(X3)
        | identity != inverse(X4)
        | multiply(sk_c8,sk_c7) != sk_c6 )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f950,f542]) ).

fof(f950,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | identity != multiply(X4,identity)
        | identity != inverse(X5)
        | identity != inverse(X7)
        | identity != inverse(X3)
        | identity != inverse(X4)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
        | multiply(sk_c8,sk_c7) != sk_c6 )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f949,f529]) ).

fof(f949,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | identity != multiply(X4,identity)
        | identity != inverse(X5)
        | identity != inverse(X7)
        | identity != inverse(X3)
        | identity != inverse(X4)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
        | multiply(sk_c8,sk_c7) != sk_c6 )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f948,f542]) ).

fof(f948,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(X5,identity)
        | identity != multiply(X4,identity)
        | identity != inverse(X5)
        | identity != inverse(X7)
        | identity != inverse(X3)
        | identity != inverse(X4)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
        | multiply(sk_c8,sk_c7) != sk_c6 )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f947,f529]) ).

fof(f947,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != multiply(X5,identity)
        | identity != multiply(X4,identity)
        | identity != inverse(X5)
        | identity != inverse(X7)
        | identity != inverse(X3)
        | identity != inverse(X4)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
        | multiply(sk_c8,sk_c7) != sk_c6 )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f946,f542]) ).

fof(f946,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(X4,identity)
        | identity != inverse(X5)
        | identity != inverse(X7)
        | identity != inverse(X3)
        | identity != inverse(X4)
        | sk_c7 != multiply(X5,sk_c8)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
        | multiply(sk_c8,sk_c7) != sk_c6 )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f945,f529]) ).

fof(f945,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != multiply(X4,identity)
        | identity != inverse(X5)
        | identity != inverse(X7)
        | identity != inverse(X3)
        | identity != inverse(X4)
        | sk_c7 != multiply(X5,sk_c8)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
        | multiply(sk_c8,sk_c7) != sk_c6 )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f944,f608]) ).

fof(f944,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X5)
        | identity != inverse(X7)
        | identity != inverse(X3)
        | identity != inverse(X4)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c7 != multiply(X5,sk_c8)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
        | multiply(sk_c8,sk_c7) != sk_c6 )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(subsumption_resolution,[],[f943,f542]) ).

fof(f943,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != sk_c8
        | identity != inverse(X5)
        | identity != inverse(X7)
        | identity != inverse(X3)
        | identity != inverse(X4)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c7 != multiply(X5,sk_c8)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
        | multiply(sk_c8,sk_c7) != sk_c6 )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f942,f529]) ).

fof(f942,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c8 != sk_c7
        | identity != inverse(X5)
        | identity != inverse(X7)
        | identity != inverse(X3)
        | identity != inverse(X4)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c7 != multiply(X5,sk_c8)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
        | multiply(sk_c8,sk_c7) != sk_c6 )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f941,f412]) ).

fof(f941,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != multiply(sk_c8,identity)
        | identity != inverse(X5)
        | identity != inverse(X7)
        | identity != inverse(X3)
        | identity != inverse(X4)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c7 != multiply(X5,sk_c8)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
        | multiply(sk_c8,sk_c7) != sk_c6 )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f940,f608]) ).

fof(f940,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X5)
        | identity != inverse(X7)
        | identity != inverse(X3)
        | identity != inverse(X4)
        | sk_c7 != multiply(sk_c8,sk_c6)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c7 != multiply(X5,sk_c8)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
        | multiply(sk_c8,sk_c7) != sk_c6 )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f939,f542]) ).

fof(f939,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X7)
        | identity != inverse(X3)
        | identity != inverse(X4)
        | sk_c8 != inverse(X5)
        | sk_c7 != multiply(sk_c8,sk_c6)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c7 != multiply(X5,sk_c8)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
        | multiply(sk_c8,sk_c7) != sk_c6 )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f938,f542]) ).

fof(f938,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X3)
        | identity != inverse(X4)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X5)
        | sk_c7 != multiply(sk_c8,sk_c6)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c7 != multiply(X5,sk_c8)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
        | multiply(sk_c8,sk_c7) != sk_c6 )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f937,f542]) ).

fof(f937,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X4)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X5)
        | sk_c7 != multiply(sk_c8,sk_c6)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c7 != multiply(X5,sk_c8)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
        | multiply(sk_c8,sk_c7) != sk_c6 )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f936,f608]) ).

fof(f431,plain,
    ( spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f21,f428,f424]) ).

fof(f353,plain,
    ( spl0_1
    | ~ spl0_2 ),
    inference(avatar_contradiction_clause,[],[f352]) ).

fof(f352,plain,
    ( $false
    | spl0_1
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f351,f81]) ).

fof(f81,plain,
    ( sk_c8 = sk_c7
    | spl0_1 ),
    inference(superposition,[],[f78,f56]) ).

fof(f56,plain,
    ( sk_c7 = multiply(sk_c8,sk_c5)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f7,f44]) ).

fof(f44,plain,
    ( inverse(sk_c8) != sk_c7
    | spl0_1 ),
    inference(avatar_component_clause,[],[f43]) ).

fof(f78,plain,
    ( sk_c8 = multiply(sk_c8,sk_c5)
    | spl0_1 ),
    inference(superposition,[],[f71,f57]) ).

fof(f57,plain,
    ( sk_c5 = multiply(sk_c4,sk_c8)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f8,f44]) ).

fof(f71,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c4,X0)) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f66,f1]) ).

fof(f66,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c4,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f53]) ).

fof(f53,plain,
    ( identity = multiply(sk_c8,sk_c4)
    | spl0_1 ),
    inference(superposition,[],[f2,f52]) ).

fof(f52,plain,
    ( sk_c8 = inverse(sk_c4)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f9,f44]) ).

fof(f351,plain,
    ( sk_c8 != sk_c7
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f331,f203]) ).

fof(f203,plain,
    ( sk_c8 = inverse(identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f49,f182]) ).

fof(f182,plain,
    ( identity = sk_c3
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f143,f51]) ).

fof(f143,plain,
    ( ! [X0] : multiply(sk_c8,X0) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f112,f70]) ).

fof(f112,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c8,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f111,f81]) ).

fof(f111,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c7,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f63,f75]) ).

fof(f75,plain,
    ( sk_c8 = sk_c6
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f72,f54]) ).

fof(f54,plain,
    ( multiply(sk_c8,sk_c7) = sk_c6
    | spl0_1 ),
    inference(subsumption_resolution,[],[f4,f44]) ).

fof(f72,plain,
    ( sk_c8 = multiply(sk_c8,sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f70,f55]) ).

fof(f55,plain,
    ( sk_c7 = multiply(sk_c3,sk_c8)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f5,f44]) ).

fof(f63,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = multiply(sk_c6,X0)
    | spl0_1 ),
    inference(superposition,[],[f3,f54]) ).

fof(f331,plain,
    ( sk_c7 != inverse(identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f44,f296]) ).

fof(f296,plain,
    ( identity = sk_c8
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f261,f2]) ).

fof(f261,plain,
    ( sk_c8 = multiply(inverse(sk_c5),sk_c5)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f67,f105]) ).

fof(f105,plain,
    ( sk_c5 = multiply(sk_c5,sk_c8)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f104,f57]) ).

fof(f104,plain,
    ( multiply(sk_c4,sk_c8) = multiply(sk_c5,sk_c8)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f103,f81]) ).

fof(f103,plain,
    ( multiply(sk_c4,sk_c8) = multiply(sk_c5,sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f93,f75]) ).

fof(f93,plain,
    ( multiply(sk_c5,sk_c7) = multiply(sk_c4,sk_c6)
    | spl0_1 ),
    inference(superposition,[],[f62,f54]) ).

fof(f62,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c8,X0)) = multiply(sk_c5,X0)
    | spl0_1 ),
    inference(superposition,[],[f3,f57]) ).

fof(f50,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f6,f47,f43]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GRP374-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36  % Computer : n006.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Apr 30 04:26:20 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  % (12087)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38  % (12090)WARNING: value z3 for option sas not known
% 0.14/0.38  % (12091)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38  % (12088)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38  % (12089)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38  % (12092)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.38  % (12094)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.38  % (12090)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38  % (12093)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.38  TRYING [1]
% 0.14/0.38  TRYING [2]
% 0.21/0.39  TRYING [1]
% 0.21/0.39  TRYING [3]
% 0.21/0.39  TRYING [2]
% 0.21/0.39  TRYING [3]
% 0.21/0.40  TRYING [4]
% 0.21/0.41  TRYING [5]
% 0.21/0.41  TRYING [4]
% 0.21/0.45  TRYING [6]
% 0.21/0.48  % (12090)First to succeed.
% 0.21/0.50  % (12090)Refutation found. Thanks to Tanya!
% 0.21/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.51  % (12090)------------------------------
% 0.21/0.51  % (12090)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.51  % (12090)Termination reason: Refutation
% 0.21/0.51  
% 0.21/0.51  % (12090)Memory used [KB]: 2234
% 0.21/0.51  % (12090)Time elapsed: 0.119 s
% 0.21/0.51  % (12090)Instructions burned: 232 (million)
% 0.21/0.51  % (12090)------------------------------
% 0.21/0.51  % (12090)------------------------------
% 0.21/0.51  % (12087)Success in time 0.142 s
%------------------------------------------------------------------------------