%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GRP372-1 : 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 : n028.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 06:06:34 EDT 2024

% Result   : Unsatisfiable 0.17s 0.47s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
fof(f3710,plain,
    $false,
    inference(avatar_sat_refutation,[],[f50,f353,f431,f913,f1065,f2171,f2261,f2263,f2270,f2733,f2935,f2937,f2939,f2941,f2943,f2945,f2947,f2949,f2951,f2953,f2955,f2957,f2959,f2961,f2963,f2965,f2967,f2969,f2971,f2973,f2975,f2977,f2979,f2981,f2983,f2985,f2987,f2989,f2991,f2993,f2995,f2997,f2999,f3001,f3003,f3005,f3007,f3009,f3011,f3013,f3015,f3017,f3019,f3021,f3023,f3025,f3027,f3029,f3188,f3192,f3194,f3227,f3232,f3237,f3241,f3245,f3247,f3249,f3251,f3261,f3267,f3273,f3322,f3510,f3513,f3516,f3519,f3523,f3602,f3651,f3709]) ).

fof(f3709,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3708]) ).

fof(f3708,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_8 ),
    inference(subsumption_resolution,[],[f3707,f3660]) ).

fof(f3660,plain,
    ( identity != sk_c7
    | spl0_2
    | spl0_8 ),
    inference(superposition,[],[f1063,f3324]) ).

fof(f3324,plain,
    ( sk_c7 = inverse(sk_c2)
    | spl0_2 ),
    inference(global_subsumption,[],[f30,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f10,f34,f16,f8,f7,f5,f4,f9,f243,f420,f21,f244,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f1674,f2346,f1111,f27,f15,f2319,f1309,f1302,f1292,f14,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f13,f1564,f20,f19,f2303,f2291,f2280,f2145,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f1442,f1321,f39,f37,f38,f26,f25,f33,f31,f32,f1247,f1246,f1236,f1235,f925,f924,f812,f806,f737,f736,f726,f725,f677,f674,f17,f35,f11,f12,f48,f18,f36]) ).

fof(f36,axiom,
    ( sk_c7 = inverse(sk_c2)
    | sk_c8 = inverse(sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).

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

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

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(f674,plain,
    identity = inverse(identity),
    inference(superposition,[],[f618,f244]) ).

fof(f677,plain,
    identity = inverse(identity),
    inference(superposition,[],[f244,f618]) ).

fof(f725,plain,
    identity = inverse(identity),
    inference(superposition,[],[f704,f2]) ).

fof(f726,plain,
    identity = inverse(identity),
    inference(superposition,[],[f704,f243]) ).

fof(f736,plain,
    identity = inverse(identity),
    inference(superposition,[],[f2,f704]) ).

fof(f737,plain,
    identity = inverse(identity),
    inference(superposition,[],[f243,f704]) ).

fof(f806,plain,
    identity = inverse(identity),
    inference(superposition,[],[f702,f1]) ).

fof(f812,plain,
    identity = inverse(identity),
    inference(superposition,[],[f1,f702]) ).

fof(f924,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f738,f723]) ).

fof(f738,plain,
    identity = inverse(inverse(inverse(identity))),
    inference(superposition,[],[f618,f704]) ).

fof(f925,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f727,f723]) ).

fof(f727,plain,
    identity = inverse(inverse(inverse(identity))),
    inference(superposition,[],[f704,f618]) ).

fof(f1235,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f1148,f2]) ).

fof(f1148,plain,
    ! [X0] : identity = inverse(multiply(inverse(X0),X0)),
    inference(superposition,[],[f811,f67]) ).

fof(f1236,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f1149,f702]) ).

fof(f1149,plain,
    ! [X0] : identity = inverse(multiply(X0,inverse(X0))),
    inference(superposition,[],[f811,f705]) ).

fof(f1246,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f1159,f2]) ).

fof(f1159,plain,
    ! [X0] : identity = inverse(multiply(inverse(X0),X0)),
    inference(superposition,[],[f67,f811]) ).

fof(f1247,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f1160,f702]) ).

fof(f1160,plain,
    ! [X0] : identity = inverse(multiply(X0,inverse(X0))),
    inference(superposition,[],[f705,f811]) ).

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

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

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

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(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(f38,axiom,
    ( sk_c7 = inverse(sk_c2)
    | sk_c5 = multiply(sk_c4,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).

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

fof(f39,axiom,
    ( sk_c7 = inverse(sk_c2)
    | sk_c8 = inverse(sk_c4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).

fof(f1321,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f1271,f702]) ).

fof(f1271,plain,
    ! [X0] : inverse(identity) = multiply(X0,inverse(X0)),
    inference(superposition,[],[f1265,f1]) ).

fof(f1442,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f1400,f702]) ).

fof(f1400,plain,
    ! [X0] : inverse(identity) = multiply(X0,inverse(X0)),
    inference(superposition,[],[f1354,f243]) ).

fof(f1730,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f1685,f702]) ).

fof(f1685,plain,
    ! [X0] : inverse(identity) = multiply(inverse(X0),inverse(inverse(X0))),
    inference(superposition,[],[f1358,f244]) ).

fof(f1920,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f1853,f2]) ).

fof(f1853,plain,
    ! [X0] : identity = inverse(multiply(inverse(X0),X0)),
    inference(superposition,[],[f1316,f702]) ).

fof(f1926,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f1856,f702]) ).

fof(f1856,plain,
    ! [X0] : identity = inverse(multiply(X0,inverse(X0))),
    inference(superposition,[],[f1316,f2]) ).

fof(f1929,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f1928,f702]) ).

fof(f1928,plain,
    ! [X0] : identity = inverse(multiply(X0,inverse(X0))),
    inference(forward_demodulation,[],[f1860,f723]) ).

fof(f1860,plain,
    ! [X0] : identity = inverse(multiply(X0,inverse(inverse(inverse(X0))))),
    inference(superposition,[],[f1316,f618]) ).

fof(f1933,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f1863,f2]) ).

fof(f1863,plain,
    ! [X0] : identity = inverse(multiply(inverse(X0),X0)),
    inference(superposition,[],[f702,f1316]) ).

fof(f1943,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f1869,f702]) ).

fof(f1869,plain,
    ! [X0] : identity = inverse(multiply(X0,inverse(X0))),
    inference(superposition,[],[f2,f1316]) ).

fof(f1946,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f1945,f702]) ).

fof(f1945,plain,
    ! [X0] : identity = inverse(multiply(X0,inverse(X0))),
    inference(forward_demodulation,[],[f1873,f723]) ).

fof(f1873,plain,
    ! [X0] : identity = inverse(multiply(X0,inverse(inverse(inverse(X0))))),
    inference(superposition,[],[f618,f1316]) ).

fof(f1967,plain,
    identity = inverse(identity),
    inference(superposition,[],[f1319,f702]) ).

fof(f2027,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f2026,f702]) ).

fof(f2026,plain,
    ! [X0] : inverse(identity) = multiply(X0,inverse(X0)),
    inference(forward_demodulation,[],[f1973,f723]) ).

fof(f1973,plain,
    ! [X0] : inverse(identity) = multiply(X0,inverse(inverse(inverse(X0)))),
    inference(superposition,[],[f1319,f2]) ).

fof(f2035,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f2034,f702]) ).

fof(f2034,plain,
    ! [X0] : inverse(identity) = multiply(X0,inverse(X0)),
    inference(forward_demodulation,[],[f2033,f723]) ).

fof(f2033,plain,
    ! [X0] : inverse(identity) = multiply(X0,inverse(inverse(inverse(X0)))),
    inference(forward_demodulation,[],[f1977,f723]) ).

fof(f1977,plain,
    ! [X0] : inverse(identity) = multiply(X0,inverse(inverse(inverse(inverse(inverse(X0)))))),
    inference(superposition,[],[f1319,f618]) ).

fof(f2066,plain,
    identity = inverse(identity),
    inference(superposition,[],[f1601,f2]) ).

fof(f2130,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f2070,f702]) ).

fof(f2070,plain,
    ! [X0] : inverse(identity) = multiply(inverse(X0),inverse(inverse(X0))),
    inference(superposition,[],[f1601,f618]) ).

fof(f2145,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f2081,f618]) ).

fof(f2081,plain,
    ! [X0] : inverse(identity) = multiply(inverse(inverse(inverse(X0))),X0),
    inference(superposition,[],[f1601,f702]) ).

fof(f2280,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f2142,f2]) ).

fof(f2142,plain,
    ! [X0] : multiply(inverse(X0),X0) = inverse(identity),
    inference(forward_demodulation,[],[f2141,f704]) ).

fof(f2141,plain,
    ! [X0] : inverse(identity) = multiply(multiply(inverse(X0),identity),X0),
    inference(forward_demodulation,[],[f2140,f702]) ).

fof(f2140,plain,
    ! [X0,X1] : inverse(identity) = multiply(multiply(inverse(X0),multiply(X1,inverse(X1))),X0),
    inference(forward_demodulation,[],[f2139,f3]) ).

fof(f2139,plain,
    ! [X0,X1] : inverse(identity) = multiply(multiply(multiply(inverse(X0),X1),inverse(X1)),X0),
    inference(forward_demodulation,[],[f2079,f1319]) ).

fof(f2079,plain,
    ! [X0,X1] : inverse(identity) = multiply(inverse(multiply(X1,inverse(multiply(inverse(X0),X1)))),X0),
    inference(superposition,[],[f1601,f811]) ).

fof(f2291,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f1682,f2]) ).

fof(f1682,plain,
    ! [X0] : multiply(inverse(X0),X0) = inverse(identity),
    inference(superposition,[],[f1358,f704]) ).

fof(f2303,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f1513,f2]) ).

fof(f1513,plain,
    ! [X0] : multiply(inverse(X0),X0) = inverse(identity),
    inference(superposition,[],[f1430,f243]) ).

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(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(f1564,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(superposition,[],[f1269,f2]) ).

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(f2298,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(forward_demodulation,[],[f1576,f723]) ).

fof(f1576,plain,
    ! [X0] : multiply(inverse(inverse(X0)),inverse(identity)) = X0,
    inference(superposition,[],[f1269,f702]) ).

fof(f2300,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(forward_demodulation,[],[f2299,f723]) ).

fof(f2299,plain,
    ! [X0] : multiply(inverse(inverse(X0)),inverse(identity)) = X0,
    inference(forward_demodulation,[],[f1575,f1265]) ).

fof(f1575,plain,
    ! [X0,X1] : multiply(multiply(X1,inverse(multiply(inverse(X0),X1))),inverse(identity)) = X0,
    inference(superposition,[],[f1269,f811]) ).

fof(f2301,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(forward_demodulation,[],[f1566,f723]) ).

fof(f1566,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,inverse(identity)),
    inference(superposition,[],[f1269,f618]) ).

fof(f2324,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(forward_demodulation,[],[f2323,f723]) ).

fof(f2323,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,inverse(identity)),
    inference(forward_demodulation,[],[f1274,f723]) ).

fof(f1274,plain,
    ! [X0] : inverse(inverse(inverse(inverse(X0)))) = multiply(X0,inverse(identity)),
    inference(superposition,[],[f1265,f618]) ).

fof(f2325,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(forward_demodulation,[],[f1272,f723]) ).

fof(f1272,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,inverse(identity)),
    inference(superposition,[],[f1265,f2]) ).

fof(f1406,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(superposition,[],[f1354,f704]) ).

fof(f2281,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(forward_demodulation,[],[f1972,f723]) ).

fof(f1972,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,inverse(identity)),
    inference(superposition,[],[f1319,f1]) ).

fof(f2284,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(forward_demodulation,[],[f1776,f723]) ).

fof(f1776,plain,
    ! [X0] : multiply(inverse(inverse(X0)),inverse(identity)) = X0,
    inference(superposition,[],[f1635,f243]) ).

fof(f2306,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(forward_demodulation,[],[f1409,f723]) ).

fof(f1409,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,inverse(identity)),
    inference(superposition,[],[f1354,f244]) ).

fof(f1521,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(superposition,[],[f1430,f704]) ).

fof(f1527,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(superposition,[],[f704,f1430]) ).

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(f1292,plain,
    ! [X0] : inverse(X0) = multiply(inverse(X0),inverse(identity)),
    inference(superposition,[],[f1265,f702]) ).

fof(f1302,plain,
    ! [X0] : inverse(X0) = inverse(multiply(X0,inverse(identity))),
    inference(superposition,[],[f1265,f243]) ).

fof(f1309,plain,
    ! [X0] : inverse(X0) = inverse(multiply(X0,inverse(identity))),
    inference(superposition,[],[f243,f1265]) ).

fof(f2319,plain,
    ! [X0] : inverse(X0) = multiply(inverse(X0),inverse(identity)),
    inference(forward_demodulation,[],[f1291,f1265]) ).

fof(f1291,plain,
    ! [X0,X1] : inverse(X0) = multiply(multiply(X1,inverse(multiply(X0,X1))),inverse(identity)),
    inference(superposition,[],[f1265,f811]) ).

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(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(f1111,plain,
    ! [X0] : identity = multiply(inverse(X0),multiply(X0,inverse(identity))),
    inference(superposition,[],[f811,f2]) ).

fof(f2346,plain,
    ! [X0] : identity = multiply(inverse(X0),multiply(X0,inverse(identity))),
    inference(forward_demodulation,[],[f1113,f723]) ).

fof(f1113,plain,
    ! [X0] : identity = multiply(inverse(inverse(inverse(X0))),multiply(X0,inverse(identity))),
    inference(superposition,[],[f811,f618]) ).

fof(f1674,plain,
    ! [X0] : inverse(X0) = multiply(inverse(X0),inverse(identity)),
    inference(superposition,[],[f1358,f243]) ).

fof(f2107,plain,
    ! [X2,X0,X1] : multiply(inverse(X0),X1) = multiply(inverse(multiply(X2,multiply(inverse(X1),X0))),X2),
    inference(superposition,[],[f1635,f1601]) ).

fof(f2106,plain,
    ! [X2,X0,X1] : multiply(multiply(X2,multiply(inverse(X1),X0)),multiply(inverse(X0),X1)) = X2,
    inference(superposition,[],[f1430,f1601]) ).

fof(f2105,plain,
    ! [X2,X0,X1] : multiply(multiply(X2,multiply(inverse(X0),X1)),multiply(inverse(X1),X0)) = X2,
    inference(superposition,[],[f1354,f1601]) ).

fof(f2169,plain,
    ! [X2,X0,X1] : multiply(inverse(X0),multiply(X1,inverse(X2))) = inverse(multiply(X2,multiply(inverse(X1),X0))),
    inference(forward_demodulation,[],[f2104,f3]) ).

fof(f2104,plain,
    ! [X2,X0,X1] : inverse(multiply(X2,multiply(inverse(X1),X0))) = multiply(multiply(inverse(X0),X1),inverse(X2)),
    inference(superposition,[],[f1319,f1601]) ).

fof(f2168,plain,
    ! [X2,X0,X1] : multiply(inverse(X2),multiply(inverse(X1),X0)) = multiply(inverse(multiply(X1,X2)),X0),
    inference(forward_demodulation,[],[f2167,f1601]) ).

fof(f2167,plain,
    ! [X2,X0,X1] : multiply(inverse(X2),multiply(inverse(X1),X0)) = inverse(multiply(inverse(X0),multiply(X1,X2))),
    inference(forward_demodulation,[],[f2103,f3]) ).

fof(f2103,plain,
    ! [X2,X0,X1] : inverse(multiply(multiply(inverse(X0),X1),X2)) = multiply(inverse(X2),multiply(inverse(X1),X0)),
    inference(superposition,[],[f1316,f1601]) ).

fof(f2166,plain,
    ! [X2,X0,X1] : inverse(multiply(X2,multiply(inverse(X0),X1))) = multiply(inverse(X1),multiply(X0,inverse(X2))),
    inference(forward_demodulation,[],[f2102,f3]) ).

fof(f2102,plain,
    ! [X2,X0,X1] : inverse(multiply(X2,multiply(inverse(X0),X1))) = multiply(multiply(inverse(X1),X0),inverse(X2)),
    inference(superposition,[],[f1316,f1601]) ).

fof(f2165,plain,
    ! [X2,X0,X1] : multiply(inverse(X0),X1) = multiply(X2,multiply(inverse(multiply(X0,X2)),X1)),
    inference(forward_demodulation,[],[f2164,f1601]) ).

fof(f2164,plain,
    ! [X2,X0,X1] : multiply(inverse(X0),X1) = multiply(X2,inverse(multiply(inverse(X1),multiply(X0,X2)))),
    inference(forward_demodulation,[],[f2101,f3]) ).

fof(f2101,plain,
    ! [X2,X0,X1] : multiply(inverse(X0),X1) = multiply(X2,inverse(multiply(multiply(inverse(X1),X0),X2))),
    inference(superposition,[],[f1269,f1601]) ).

fof(f2163,plain,
    ! [X2,X0,X1] : multiply(multiply(inverse(X0),X1),multiply(inverse(X1),multiply(X0,X2))) = X2,
    inference(forward_demodulation,[],[f2099,f3]) ).

fof(f2099,plain,
    ! [X2,X0,X1] : multiply(multiply(inverse(X0),X1),multiply(multiply(inverse(X1),X0),X2)) = X2,
    inference(superposition,[],[f705,f1601]) ).

fof(f2098,plain,
    ! [X0,X1] : identity = multiply(multiply(inverse(X0),X1),multiply(inverse(X1),X0)),
    inference(superposition,[],[f702,f1601]) ).

fof(f2162,plain,
    ! [X0,X1] : identity = multiply(multiply(inverse(X1),X0),multiply(inverse(X0),X1)),
    inference(forward_demodulation,[],[f2097,f723]) ).

fof(f2097,plain,
    ! [X0,X1] : identity = multiply(inverse(inverse(multiply(inverse(X1),X0))),multiply(inverse(X0),X1)),
    inference(superposition,[],[f618,f1601]) ).

fof(f2160,plain,
    ! [X2,X0,X1] : multiply(multiply(inverse(X1),X0),multiply(inverse(X0),multiply(X1,X2))) = X2,
    inference(forward_demodulation,[],[f2094,f3]) ).

fof(f2094,plain,
    ! [X2,X0,X1] : multiply(multiply(inverse(X1),X0),multiply(multiply(inverse(X0),X1),X2)) = X2,
    inference(superposition,[],[f67,f1601]) ).

fof(f2093,plain,
    ! [X0,X1] : identity = multiply(multiply(inverse(X1),X0),multiply(inverse(X0),X1)),
    inference(superposition,[],[f2,f1601]) ).

fof(f2111,plain,
    ! [X2,X0,X1] : multiply(inverse(X2),multiply(inverse(X0),X1)) = multiply(inverse(multiply(X0,X2)),X1),
    inference(forward_demodulation,[],[f2110,f1601]) ).

fof(f2110,plain,
    ! [X2,X0,X1] : multiply(inverse(X2),multiply(inverse(X0),X1)) = inverse(multiply(inverse(X1),multiply(X0,X2))),
    inference(forward_demodulation,[],[f2059,f3]) ).

fof(f2059,plain,
    ! [X2,X0,X1] : multiply(inverse(X2),multiply(inverse(X0),X1)) = inverse(multiply(multiply(inverse(X1),X0),X2)),
    inference(superposition,[],[f1601,f1601]) ).

fof(f2109,plain,
    ! [X2,X0,X1] : inverse(multiply(X1,multiply(inverse(X0),X2))) = multiply(inverse(X2),multiply(X0,inverse(X1))),
    inference(forward_demodulation,[],[f2058,f3]) ).

fof(f2058,plain,
    ! [X2,X0,X1] : inverse(multiply(multiply(X1,inverse(X0)),X2)) = multiply(inverse(X2),multiply(X0,inverse(X1))),
    inference(superposition,[],[f1601,f1319]) ).

fof(f1601,plain,
    ! [X0,X1] : multiply(inverse(X0),X1) = inverse(multiply(inverse(X1),X0)),
    inference(superposition,[],[f67,f1269]) ).

fof(f2001,plain,
    ! [X2,X0,X1] : multiply(X0,inverse(X1)) = multiply(inverse(multiply(X2,multiply(X1,inverse(X0)))),X2),
    inference(superposition,[],[f1635,f1319]) ).

fof(f2000,plain,
    ! [X2,X0,X1] : multiply(multiply(X2,multiply(X1,inverse(X0))),multiply(X0,inverse(X1))) = X2,
    inference(superposition,[],[f1430,f1319]) ).

fof(f1999,plain,
    ! [X2,X0,X1] : multiply(multiply(X2,multiply(X0,inverse(X1))),multiply(X1,inverse(X0))) = X2,
    inference(superposition,[],[f1354,f1319]) ).

fof(f2055,plain,
    ! [X2,X0,X1] : multiply(inverse(X2),multiply(X1,inverse(X0))) = inverse(multiply(X0,multiply(inverse(X1),X2))),
    inference(forward_demodulation,[],[f1998,f3]) ).

fof(f1998,plain,
    ! [X2,X0,X1] : inverse(multiply(multiply(X0,inverse(X1)),X2)) = multiply(inverse(X2),multiply(X1,inverse(X0))),
    inference(superposition,[],[f1316,f1319]) ).

fof(f2054,plain,
    ! [X2,X0,X1] : inverse(multiply(X2,multiply(X0,inverse(X1)))) = multiply(X1,inverse(multiply(X2,X0))),
    inference(forward_demodulation,[],[f2053,f1316]) ).

fof(f2053,plain,
    ! [X2,X0,X1] : inverse(multiply(X2,multiply(X0,inverse(X1)))) = multiply(X1,multiply(inverse(X0),inverse(X2))),
    inference(forward_demodulation,[],[f1997,f3]) ).

fof(f1997,plain,
    ! [X2,X0,X1] : inverse(multiply(X2,multiply(X0,inverse(X1)))) = multiply(multiply(X1,inverse(X0)),inverse(X2)),
    inference(superposition,[],[f1316,f1319]) ).

fof(f2052,plain,
    ! [X2,X0,X1] : multiply(X0,inverse(X1)) = multiply(X2,inverse(multiply(X1,multiply(inverse(X0),X2)))),
    inference(forward_demodulation,[],[f1996,f3]) ).

fof(f1996,plain,
    ! [X2,X0,X1] : multiply(X0,inverse(X1)) = multiply(X2,inverse(multiply(multiply(X1,inverse(X0)),X2))),
    inference(superposition,[],[f1269,f1319]) ).

fof(f2051,plain,
    ! [X2,X0,X1] : multiply(multiply(X0,inverse(X1)),multiply(X1,multiply(inverse(X0),X2))) = X2,
    inference(forward_demodulation,[],[f1994,f3]) ).

fof(f1994,plain,
    ! [X2,X0,X1] : multiply(multiply(X0,inverse(X1)),multiply(multiply(X1,inverse(X0)),X2)) = X2,
    inference(superposition,[],[f705,f1319]) ).

fof(f1993,plain,
    ! [X0,X1] : identity = multiply(multiply(X0,inverse(X1)),multiply(X1,inverse(X0))),
    inference(superposition,[],[f702,f1319]) ).

fof(f2050,plain,
    ! [X0,X1] : identity = multiply(multiply(X1,inverse(X0)),multiply(X0,inverse(X1))),
    inference(forward_demodulation,[],[f1992,f723]) ).

fof(f1992,plain,
    ! [X0,X1] : identity = multiply(inverse(inverse(multiply(X1,inverse(X0)))),multiply(X0,inverse(X1))),
    inference(superposition,[],[f618,f1319]) ).

fof(f2048,plain,
    ! [X2,X0,X1] : multiply(multiply(X1,inverse(X0)),multiply(X0,multiply(inverse(X1),X2))) = X2,
    inference(forward_demodulation,[],[f1989,f3]) ).

fof(f1989,plain,
    ! [X2,X0,X1] : multiply(multiply(X1,inverse(X0)),multiply(multiply(X0,inverse(X1)),X2)) = X2,
    inference(superposition,[],[f67,f1319]) ).

fof(f1988,plain,
    ! [X0,X1] : identity = multiply(multiply(X1,inverse(X0)),multiply(X0,inverse(X1))),
    inference(superposition,[],[f2,f1319]) ).

fof(f1982,plain,
    ! [X2,X0,X1] : inverse(multiply(X0,multiply(X1,inverse(X2)))) = multiply(X2,inverse(multiply(X0,X1))),
    inference(superposition,[],[f1319,f3]) ).

fof(f2004,plain,
    ! [X2,X0,X1] : inverse(multiply(X2,multiply(X1,inverse(X0)))) = multiply(X0,inverse(multiply(X2,X1))),
    inference(forward_demodulation,[],[f2003,f1316]) ).

fof(f2003,plain,
    ! [X2,X0,X1] : inverse(multiply(X2,multiply(X1,inverse(X0)))) = multiply(X0,multiply(inverse(X1),inverse(X2))),
    inference(forward_demodulation,[],[f1960,f3]) ).

fof(f1960,plain,
    ! [X2,X0,X1] : multiply(multiply(X0,inverse(X1)),inverse(X2)) = inverse(multiply(X2,multiply(X1,inverse(X0)))),
    inference(superposition,[],[f1319,f1319]) ).

fof(f1319,plain,
    ! [X0,X1] : inverse(multiply(X1,inverse(X0))) = multiply(X0,inverse(X1)),
    inference(superposition,[],[f705,f1265]) ).

fof(f1883,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(X1,X0)),X2) = multiply(inverse(X0),multiply(inverse(X1),X2)),
    inference(superposition,[],[f3,f1316]) ).

fof(f1875,plain,
    ! [X0,X1] : inverse(multiply(X1,inverse(X0))) = multiply(X0,inverse(X1)),
    inference(superposition,[],[f257,f1316]) ).

fof(f1862,plain,
    ! [X0,X1] : inverse(multiply(X1,inverse(X0))) = multiply(X0,inverse(X1)),
    inference(superposition,[],[f1316,f257]) ).

fof(f1847,plain,
    ! [X0,X1] : inverse(multiply(inverse(X0),X1)) = multiply(inverse(X1),X0),
    inference(superposition,[],[f1316,f723]) ).

fof(f1840,plain,
    ! [X0,X1] : inverse(multiply(X1,inverse(X0))) = multiply(X0,inverse(X1)),
    inference(superposition,[],[f1316,f723]) ).

fof(f1316,plain,
    ! [X0,X1] : inverse(multiply(X1,X0)) = multiply(inverse(X0),inverse(X1)),
    inference(superposition,[],[f67,f1265]) ).

fof(f1796,plain,
    ! [X0,X1] : multiply(X1,X0) = inverse(multiply(inverse(X0),inverse(X1))),
    inference(superposition,[],[f1430,f1635]) ).

fof(f1794,plain,
    ! [X2,X0,X1] : multiply(X1,X2) = multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,X2)),
    inference(superposition,[],[f3,f1635]) ).

fof(f1790,plain,
    ! [X0,X1] : multiply(X1,inverse(X0)) = inverse(multiply(X0,inverse(X1))),
    inference(superposition,[],[f1354,f1635]) ).

fof(f1784,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(X0,multiply(X1,inverse(X2)))),multiply(X0,X1)) = X2,
    inference(superposition,[],[f1635,f3]) ).

fof(f1635,plain,
    ! [X0,X1] : multiply(inverse(multiply(X1,inverse(X0))),X1) = X0,
    inference(forward_demodulation,[],[f1577,f723]) ).

fof(f1577,plain,
    ! [X0,X1] : multiply(inverse(multiply(X1,inverse(X0))),inverse(inverse(X1))) = X0,
    inference(superposition,[],[f1269,f1265]) ).

fof(f1715,plain,
    ! [X0,X1] : inverse(multiply(inverse(X0),X1)) = multiply(inverse(X1),X0),
    inference(superposition,[],[f1430,f1358]) ).

fof(f1713,plain,
    ! [X2,X0,X1] : multiply(inverse(X1),X2) = multiply(inverse(multiply(X0,X1)),multiply(X0,X2)),
    inference(superposition,[],[f3,f1358]) ).

fof(f1709,plain,
    ! [X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(X1),inverse(X0)),
    inference(superposition,[],[f1354,f1358]) ).

fof(f1693,plain,
    ! [X0,X1] : inverse(multiply(inverse(X0),X1)) = multiply(inverse(X1),X0),
    inference(superposition,[],[f1358,f705]) ).

fof(f1692,plain,
    ! [X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(X1),inverse(X0)),
    inference(superposition,[],[f1358,f67]) ).

fof(f1681,plain,
    ! [X2,X0,X1] : inverse(X2) = multiply(inverse(multiply(X0,multiply(X1,X2))),multiply(X0,X1)),
    inference(superposition,[],[f1358,f3]) ).

fof(f1358,plain,
    ! [X0,X1] : inverse(X0) = multiply(inverse(multiply(X1,X0)),X1),
    inference(forward_demodulation,[],[f1293,f723]) ).

fof(f1293,plain,
    ! [X0,X1] : inverse(X0) = multiply(inverse(multiply(X1,X0)),inverse(inverse(X1))),
    inference(superposition,[],[f1265,f1265]) ).

fof(f1605,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,inverse(multiply(inverse(X2),multiply(X0,X1))))) = X2,
    inference(superposition,[],[f3,f1269]) ).

fof(f1604,plain,
    ! [X0,X1] : multiply(X0,X1) = inverse(multiply(inverse(X1),inverse(X0))),
    inference(superposition,[],[f705,f1269]) ).

fof(f1602,plain,
    ! [X2,X0,X1] : multiply(X1,X2) = multiply(X0,multiply(inverse(multiply(inverse(X1),X0)),X2)),
    inference(superposition,[],[f3,f1269]) ).

fof(f1600,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(inverse(multiply(inverse(X1),X0)),inverse(X1))),
    inference(superposition,[],[f811,f1269]) ).

fof(f1599,plain,
    ! [X0,X1] : inverse(X0) = multiply(inverse(multiply(inverse(X1),X0)),inverse(X1)),
    inference(superposition,[],[f1265,f1269]) ).

fof(f1587,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,inverse(multiply(inverse(X2),multiply(X0,X1))))) = X2,
    inference(superposition,[],[f1269,f3]) ).

fof(f1578,plain,
    ! [X0,X1] : multiply(inverse(multiply(inverse(X1),inverse(X0))),inverse(X1)) = X0,
    inference(superposition,[],[f1269,f1269]) ).

fof(f1269,plain,
    ! [X0,X1] : multiply(X1,inverse(multiply(inverse(X0),X1))) = X0,
    inference(forward_demodulation,[],[f1171,f704]) ).

fof(f1171,plain,
    ! [X0,X1] : multiply(X0,identity) = multiply(X1,inverse(multiply(inverse(X0),X1))),
    inference(superposition,[],[f705,f811]) ).

fof(f1525,plain,
    ! [X2,X0,X1] : multiply(X0,X2) = multiply(multiply(X0,inverse(X1)),multiply(X1,X2)),
    inference(superposition,[],[f3,f1430]) ).

fof(f1524,plain,
    ! [X0,X1] : multiply(inverse(multiply(X0,inverse(X1))),X0) = X1,
    inference(superposition,[],[f67,f1430]) ).

fof(f1523,plain,
    ! [X0,X1] : identity = multiply(multiply(X0,inverse(X1)),multiply(X1,inverse(X0))),
    inference(superposition,[],[f811,f1430]) ).

fof(f1522,plain,
    ! [X0,X1] : multiply(X1,inverse(X0)) = inverse(multiply(X0,inverse(X1))),
    inference(superposition,[],[f1265,f1430]) ).

fof(f1519,plain,
    ! [X2,X0,X1] : multiply(X0,X1) = multiply(multiply(X0,multiply(X1,inverse(X2))),X2),
    inference(superposition,[],[f1430,f3]) ).

fof(f1430,plain,
    ! [X0,X1] : multiply(multiply(X1,inverse(X0)),X0) = X1,
    inference(superposition,[],[f1354,f723]) ).

fof(f1440,plain,
    ! [X2,X0,X1] : multiply(multiply(X0,X1),multiply(inverse(X1),X2)) = multiply(X0,X2),
    inference(superposition,[],[f3,f1354]) ).

fof(f1439,plain,
    ! [X0,X1] : inverse(X1) = multiply(inverse(multiply(X0,X1)),X0),
    inference(superposition,[],[f67,f1354]) ).

fof(f1438,plain,
    ! [X0,X1] : identity = multiply(multiply(X0,X1),multiply(inverse(X1),inverse(X0))),
    inference(superposition,[],[f811,f1354]) ).

fof(f1437,plain,
    ! [X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(X1),inverse(X0)),
    inference(superposition,[],[f1265,f1354]) ).

fof(f1417,plain,
    ! [X0,X1] : multiply(X1,inverse(multiply(inverse(X0),X1))) = X0,
    inference(superposition,[],[f1354,f705]) ).

fof(f1405,plain,
    ! [X2,X0,X1] : multiply(X0,X1) = multiply(multiply(X0,multiply(X1,X2)),inverse(X2)),
    inference(superposition,[],[f1354,f3]) ).

fof(f1354,plain,
    ! [X0,X1] : multiply(multiply(X0,X1),inverse(X1)) = X0,
    inference(forward_demodulation,[],[f1289,f723]) ).

fof(f1289,plain,
    ! [X0,X1] : inverse(inverse(X0)) = multiply(multiply(X0,X1),inverse(X1)),
    inference(superposition,[],[f1265,f67]) ).

fof(f1320,plain,
    ! [X2,X0,X1] : inverse(X2) = multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1))))),
    inference(superposition,[],[f3,f1265]) ).

fof(f1317,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(inverse(multiply(X1,X0)),X2)) = multiply(inverse(X1),X2),
    inference(superposition,[],[f3,f1265]) ).

fof(f1396,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(inverse(multiply(X1,X0)),X1)),
    inference(forward_demodulation,[],[f1315,f723]) ).

fof(f1315,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(inverse(multiply(X1,X0)),inverse(inverse(X1)))),
    inference(superposition,[],[f811,f1265]) ).

fof(f1306,plain,
    ! [X2,X0,X1] : inverse(X2) = multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1))))),
    inference(superposition,[],[f1265,f3]) ).

fof(f1290,plain,
    ! [X0,X1] : inverse(X0) = multiply(multiply(inverse(X0),X1),inverse(X1)),
    inference(superposition,[],[f1265,f705]) ).

fof(f1278,plain,
    ! [X2,X0,X1] : inverse(multiply(X0,X1)) = multiply(X2,inverse(multiply(X0,multiply(X1,X2)))),
    inference(superposition,[],[f1265,f3]) ).

fof(f1265,plain,
    ! [X0,X1] : inverse(X0) = multiply(X1,inverse(multiply(X0,X1))),
    inference(forward_demodulation,[],[f1168,f704]) ).

fof(f1168,plain,
    ! [X0,X1] : multiply(inverse(X0),identity) = multiply(X1,inverse(multiply(X0,X1))),
    inference(superposition,[],[f67,f811]) ).

fof(f1270,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(X0,multiply(X1,X2)))))),
    inference(forward_demodulation,[],[f1172,f3]) ).

fof(f1172,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(multiply(X0,X1),X2))))),
    inference(superposition,[],[f3,f811]) ).

fof(f1267,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
    inference(forward_demodulation,[],[f1266,f3]) ).

fof(f1266,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,inverse(multiply(X0,X1))),X2)) = X2,
    inference(forward_demodulation,[],[f1169,f1]) ).

fof(f1169,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,inverse(multiply(X0,X1))),X2)) = multiply(identity,X2),
    inference(superposition,[],[f3,f811]) ).

fof(f1242,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(X0,multiply(X1,X2)))))),
    inference(forward_demodulation,[],[f1155,f3]) ).

fof(f1155,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(multiply(X0,X1),X2))))),
    inference(superposition,[],[f811,f3]) ).

fof(f1144,plain,
    ! [X2,X0,X1] : identity = multiply(X2,multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1)))))),
    inference(superposition,[],[f811,f3]) ).

fof(f1117,plain,
    ! [X2,X0,X1] : identity = multiply(multiply(X0,X1),multiply(X2,inverse(multiply(X0,multiply(X1,X2))))),
    inference(superposition,[],[f811,f3]) ).

fof(f811,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
    inference(superposition,[],[f702,f3]) ).

fof(f879,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
    inference(superposition,[],[f3,f705]) ).

fof(f869,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
    inference(superposition,[],[f705,f3]) ).

fof(f705,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f257,f67]) ).

fof(f822,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
    inference(superposition,[],[f3,f702]) ).

fof(f842,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(forward_demodulation,[],[f820,f1]) ).

fof(f820,plain,
    ! [X0,X1] : multiply(identity,X1) = multiply(X0,multiply(inverse(X0),X1)),
    inference(superposition,[],[f3,f702]) ).

fof(f702,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f257,f2]) ).

fof(f774,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f2,f723]) ).

fof(f773,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f67,f723]) ).

fof(f723,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(superposition,[],[f704,f244]) ).

fof(f759,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(forward_demodulation,[],[f746,f704]) ).

fof(f746,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,identity),
    inference(superposition,[],[f257,f704]) ).

fof(f734,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(superposition,[],[f244,f704]) ).

fof(f753,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(forward_demodulation,[],[f730,f704]) ).

fof(f730,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,identity),
    inference(superposition,[],[f704,f257]) ).

fof(f704,plain,
    ! [X0] : multiply(X0,identity) = X0,
    inference(superposition,[],[f257,f244]) ).

fof(f713,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f67,f257]) ).

fof(f712,plain,
    ! [X0] : multiply(X0,identity) = X0,
    inference(superposition,[],[f244,f257]) ).

fof(f709,plain,
    ! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
    inference(superposition,[],[f67,f257]) ).

fof(f708,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f2,f257]) ).

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

fof(f694,plain,
    ! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f676,f1]) ).

fof(f676,plain,
    ! [X0,X1] : multiply(identity,X1) = multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)),
    inference(superposition,[],[f3,f618]) ).

fof(f675,plain,
    ! [X0] : multiply(inverse(inverse(inverse(inverse(X0)))),identity) = X0,
    inference(superposition,[],[f67,f618]) ).

fof(f618,plain,
    ! [X0] : identity = multiply(inverse(inverse(inverse(X0))),X0),
    inference(superposition,[],[f67,f244]) ).

fof(f625,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
    inference(forward_demodulation,[],[f619,f1]) ).

fof(f619,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_c7 = inverse(sk_c2)
    | multiply(sk_c8,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).

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

fof(f29,axiom,
    ( sk_c6 = multiply(sk_c2,sk_c7)
    | 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_c7 != inverse(X4)
      | sk_c8 != inverse(X3)
      | sk_c8 != inverse(X7)
      | sk_c8 != inverse(X5)
      | inverse(sk_c8) != sk_c7
      | sk_c6 != multiply(X4,sk_c7)
      | sk_c7 != multiply(sk_c8,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_c7 != inverse(X4)
      | sk_c8 != inverse(X3)
      | sk_c8 != inverse(X7)
      | sk_c8 != inverse(X5)
      | inverse(sk_c8) != sk_c7
      | sk_c6 != multiply(X4,sk_c7)
      | sk_c7 != multiply(sk_c8,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(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(f3,axiom,
    ! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).

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

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

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

fof(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_c6 = multiply(sk_c2,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).

fof(f1063,plain,
    ( identity != inverse(sk_c2)
    | spl0_8 ),
    inference(avatar_component_clause,[],[f1062]) ).

fof(f1062,plain,
    ( spl0_8
  <=> identity = inverse(sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f3707,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f3706,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(f3706,plain,
    ( sk_c7 = multiply(sk_c7,sk_c8)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f3325,f3349]) ).

fof(f3349,plain,
    ( sk_c7 = sk_c1
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f764,f45]) ).

fof(f764,plain,
    ( inverse(sk_c8) = sk_c1
    | ~ spl0_3 ),
    inference(superposition,[],[f723,f426]) ).

fof(f426,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(f3325,plain,
    ( sk_c7 = multiply(sk_c1,sk_c8)
    | spl0_2 ),
    inference(global_subsumption,[],[f30,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f10,f34,f16,f8,f7,f5,f4,f9,f243,f420,f21,f244,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f1674,f2346,f1111,f27,f15,f2319,f1309,f1302,f1292,f14,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f13,f1564,f20,f19,f2303,f2291,f2280,f2145,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f1442,f1321,f39,f37,f38,f26,f25,f33,f31,f32,f1247,f1246,f1236,f1235,f925,f924,f812,f806,f737,f736,f726,f725,f677,f674,f17,f35,f11,f48,f18,f36,f3324,f12]) ).

fof(f3651,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_7
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3650]) ).

fof(f3650,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_7
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f3649,f1059]) ).

fof(f1059,plain,
    ( identity != sk_c6
    | spl0_7 ),
    inference(avatar_component_clause,[],[f1058]) ).

fof(f1058,plain,
    ( spl0_7
  <=> identity = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f3649,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | spl0_2
    | spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f3616,f3605]) ).

fof(f3605,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f3604,f1234]) ).

fof(f1234,plain,
    ( identity = inverse(identity)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1147,f380]) ).

fof(f1147,plain,
    ( identity = inverse(multiply(sk_c7,sk_c8))
    | ~ spl0_1 ),
    inference(superposition,[],[f811,f379]) ).

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

fof(f3604,plain,
    ( sk_c7 = inverse(identity)
    | spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f3344,f2219]) ).

fof(f2219,plain,
    ( identity = sk_c2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2205,f2]) ).

fof(f2205,plain,
    ( sk_c2 = multiply(inverse(identity),identity)
    | ~ spl0_8 ),
    inference(superposition,[],[f244,f1064]) ).

fof(f1064,plain,
    ( identity = inverse(sk_c2)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f1062]) ).

fof(f3344,plain,
    ( sk_c7 = inverse(sk_c2)
    | spl0_2 ),
    inference(global_subsumption,[],[f30,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f10,f34,f16,f8,f7,f5,f4,f9,f243,f420,f21,f244,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f1674,f2346,f1111,f27,f15,f2319,f1309,f1302,f1292,f14,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f13,f1564,f20,f19,f2303,f2291,f2280,f2145,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f1442,f1321,f39,f26,f25,f33,f31,f32,f1247,f1246,f1236,f1235,f925,f924,f812,f806,f737,f736,f726,f725,f677,f674,f48,f18,f36,f3324,f12,f3325,f11,f3328,f35,f3331,f17,f38,f3343,f37]) ).

fof(f3343,plain,
    ( sk_c7 = inverse(sk_c2)
    | spl0_2 ),
    inference(global_subsumption,[],[f30,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f10,f34,f16,f8,f7,f5,f4,f9,f243,f420,f21,f244,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f1674,f2346,f1111,f27,f15,f2319,f1309,f1302,f1292,f14,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f13,f1564,f20,f19,f2303,f2291,f2280,f2145,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f1442,f1321,f39,f37,f26,f25,f33,f31,f32,f1247,f1246,f1236,f1235,f925,f924,f812,f806,f737,f736,f726,f725,f677,f674,f48,f18,f36,f3324,f12,f3325,f11,f3328,f35,f3331,f17,f38]) ).

fof(f3331,plain,
    ( sk_c7 = inverse(sk_c2)
    | spl0_2 ),
    inference(global_subsumption,[],[f30,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f10,f34,f16,f8,f7,f5,f4,f9,f243,f420,f21,f244,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f1674,f2346,f1111,f27,f15,f2319,f1309,f1302,f1292,f14,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f13,f1564,f20,f19,f2303,f2291,f2280,f2145,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f1442,f1321,f39,f37,f38,f26,f25,f33,f31,f32,f1247,f1246,f1236,f1235,f925,f924,f812,f806,f737,f736,f726,f725,f677,f674,f17,f48,f18,f36,f3324,f12,f3325,f11,f3328,f35]) ).

fof(f3328,plain,
    ( sk_c7 = multiply(sk_c1,sk_c8)
    | spl0_2 ),
    inference(global_subsumption,[],[f30,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f10,f34,f16,f8,f7,f5,f4,f9,f243,f420,f21,f244,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f1674,f2346,f1111,f27,f15,f2319,f1309,f1302,f1292,f14,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f13,f1564,f20,f19,f2303,f2291,f2280,f2145,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f1442,f1321,f39,f37,f38,f26,f25,f33,f31,f32,f1247,f1246,f1236,f1235,f925,f924,f812,f806,f737,f736,f726,f725,f677,f674,f17,f35,f48,f18,f36,f3324,f12,f3325,f11]) ).

fof(f3616,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_1
    | spl0_7
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f30,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f10,f34,f16,f8,f7,f5,f4,f9,f45,f380,f383,f381,f379,f396,f388,f404,f406,f243,f420,f21,f390,f463,f464,f459,f473,f470,f244,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f920,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f1064,f2203,f2204,f2220,f2221,f2208,f2222,f2225,f2226,f2227,f2228,f2215,f2229,f2230,f2232,f2272,f2274,f1674,f2346,f1111,f2348,f2350,f2351,f2352,f2354,f27,f2359,f2361,f15,f2233,f2319,f1309,f1302,f1292,f2071,f2061,f2036,f1962,f1874,f1861,f1848,f1841,f1691,f1594,f1311,f1766,f1415,f1567,f1559,f2336,f1134,f1132,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f1564,f1504,f1431,f1411,f2315,f2303,f2291,f2280,f2145,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f1442,f1321,f39,f1059,f934,f2366,f2372,f956,f33,f31,f32,f931,f1247,f1246,f1236,f1235,f925,f924,f812,f806,f737,f736,f726,f725,f677,f674,f1732,f1245,f1294,f2316,f1407,f1579,f3286,f3290,f1677,f3292,f3294,f1424,f3295,f3296,f3297,f900,f896,f846,f3312,f467,f461,f18,f36,f12,f11,f35,f17,f38,f37,f19,f20,f13,f14,f1234,f2219,f1550,f1755,f1444,f2320,f761,f3309,f3308,f732,f721,f26,f25,f3615]) ).

fof(f3615,plain,
    ( sk_c7 = sk_c6
    | sk_c7 = multiply(sk_c8,sk_c5)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f3614,f1]) ).

fof(f3614,plain,
    ( sk_c6 = multiply(identity,sk_c7)
    | sk_c7 = multiply(sk_c8,sk_c5)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f31,f2219]) ).

fof(f721,plain,
    ( sk_c8 = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f704,f381]) ).

fof(f732,plain,
    ( sk_c8 = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f381,f704]) ).

fof(f3308,plain,
    ( sk_c8 = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f739,f704]) ).

fof(f739,plain,
    ( multiply(sk_c8,identity) = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f390,f704]) ).

fof(f3309,plain,
    ( sk_c8 = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f728,f704]) ).

fof(f728,plain,
    ( multiply(sk_c8,identity) = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f704,f390]) ).

fof(f761,plain,
    ( sk_c8 = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f723,f45]) ).

fof(f2320,plain,
    ( sk_c8 = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1288,f1354]) ).

fof(f1288,plain,
    ( ! [X0] : inverse(sk_c7) = multiply(multiply(sk_c8,X0),inverse(X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f1265,f379]) ).

fof(f1444,plain,
    ( sk_c8 = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1402,f1354]) ).

fof(f1402,plain,
    ( ! [X0] : inverse(sk_c7) = multiply(multiply(sk_c8,X0),inverse(X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f1354,f390]) ).

fof(f1755,plain,
    ( sk_c8 = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1701,f243]) ).

fof(f1701,plain,
    ( inverse(sk_c7) = multiply(inverse(identity),sk_c8)
    | ~ spl0_1 ),
    inference(superposition,[],[f1358,f459]) ).

fof(f1550,plain,
    ( sk_c8 = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1515,f1430]) ).

fof(f1515,plain,
    ( ! [X0] : inverse(sk_c7) = multiply(multiply(sk_c8,inverse(X0)),X0)
    | ~ spl0_1 ),
    inference(superposition,[],[f1430,f390]) ).

fof(f461,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f390,f67]) ).

fof(f467,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f67,f390]) ).

fof(f3312,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f472,f1]) ).

fof(f472,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c7,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f459]) ).

fof(f846,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f705,f45]) ).

fof(f896,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f866,f257]) ).

fof(f866,plain,
    ( ! [X0] : multiply(sk_c8,multiply(inverse(inverse(sk_c7)),X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f705,f390]) ).

fof(f900,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f872,f257]) ).

fof(f872,plain,
    ( ! [X0] : multiply(sk_c8,multiply(inverse(inverse(sk_c7)),X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f390,f705]) ).

fof(f3297,plain,
    ( ! [X0] : identity = multiply(X0,multiply(sk_c8,multiply(sk_c7,inverse(X0))))
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1141,f1319]) ).

fof(f1141,plain,
    ( ! [X0] : identity = multiply(X0,multiply(sk_c8,inverse(multiply(X0,inverse(sk_c7)))))
    | ~ spl0_1 ),
    inference(superposition,[],[f811,f390]) ).

fof(f3296,plain,
    ( ! [X0] : inverse(X0) = multiply(sk_c8,multiply(sk_c7,inverse(X0)))
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1303,f1319]) ).

fof(f1303,plain,
    ( ! [X0] : inverse(X0) = multiply(sk_c8,inverse(multiply(X0,inverse(sk_c7))))
    | ~ spl0_1 ),
    inference(superposition,[],[f1265,f390]) ).

fof(f3295,plain,
    ( ! [X0] : inverse(X0) = multiply(sk_c8,multiply(sk_c7,inverse(X0)))
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1310,f1319]) ).

fof(f1310,plain,
    ( ! [X0] : inverse(X0) = multiply(sk_c8,inverse(multiply(X0,inverse(sk_c7))))
    | ~ spl0_1 ),
    inference(superposition,[],[f390,f1265]) ).

fof(f1424,plain,
    ( sk_c8 = multiply(identity,inverse(sk_c7))
    | ~ spl0_1 ),
    inference(superposition,[],[f1354,f459]) ).

fof(f3294,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f3293,f723]) ).

fof(f3293,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c7,inverse(inverse(X0)))) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1584,f1319]) ).

fof(f1584,plain,
    ( ! [X0] : multiply(sk_c8,inverse(multiply(inverse(X0),inverse(sk_c7)))) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f1269,f390]) ).

fof(f3292,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f3291,f723]) ).

fof(f3291,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c7,inverse(inverse(X0)))) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1593,f1319]) ).

fof(f1593,plain,
    ( ! [X0] : multiply(sk_c8,inverse(multiply(inverse(X0),inverse(sk_c7)))) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f390,f1269]) ).

fof(f1677,plain,
    ( ! [X0] : inverse(X0) = multiply(inverse(multiply(sk_c8,X0)),inverse(sk_c7))
    | ~ spl0_1 ),
    inference(superposition,[],[f1358,f390]) ).

fof(f3290,plain,
    ( identity = inverse(identity)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f3289,f702]) ).

fof(f3289,plain,
    ( inverse(identity) = multiply(sk_c7,inverse(sk_c7))
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1683,f45]) ).

fof(f1683,plain,
    ( inverse(identity) = multiply(inverse(sk_c8),inverse(sk_c7))
    | ~ spl0_1 ),
    inference(superposition,[],[f1358,f381]) ).

fof(f3286,plain,
    ( identity = inverse(identity)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f3285,f702]) ).

fof(f3285,plain,
    ( inverse(identity) = multiply(sk_c7,inverse(sk_c7))
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f2084,f45]) ).

fof(f2084,plain,
    ( inverse(identity) = multiply(inverse(sk_c8),inverse(sk_c7))
    | ~ spl0_1 ),
    inference(superposition,[],[f1601,f388]) ).

fof(f1579,plain,
    ( inverse(sk_c7) = multiply(sk_c8,inverse(identity))
    | ~ spl0_1 ),
    inference(superposition,[],[f1269,f388]) ).

fof(f1407,plain,
    ( inverse(sk_c7) = multiply(sk_c8,inverse(identity))
    | ~ spl0_1 ),
    inference(superposition,[],[f1354,f381]) ).

fof(f2316,plain,
    ( inverse(sk_c7) = multiply(sk_c8,inverse(identity))
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1295,f723]) ).

fof(f1295,plain,
    ( inverse(inverse(inverse(sk_c7))) = multiply(sk_c8,inverse(identity))
    | ~ spl0_1 ),
    inference(superposition,[],[f1265,f388]) ).

fof(f1294,plain,
    ( inverse(sk_c7) = multiply(sk_c8,inverse(identity))
    | ~ spl0_1 ),
    inference(superposition,[],[f1265,f380]) ).

fof(f1245,plain,
    ( identity = inverse(identity)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1158,f380]) ).

fof(f1158,plain,
    ( identity = inverse(multiply(sk_c7,sk_c8))
    | ~ spl0_1 ),
    inference(superposition,[],[f379,f811]) ).

fof(f1732,plain,
    ( identity = inverse(identity)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1687,f2]) ).

fof(f1687,plain,
    ( inverse(identity) = multiply(inverse(sk_c7),sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f1358,f470]) ).

fof(f931,plain,
    ( identity = sk_c6
    | sk_c6 = multiply(sk_c2,sk_c7)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f28,f459]) ).

fof(f956,plain,
    ( identity = sk_c6
    | sk_c7 = inverse(sk_c2)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f34,f459]) ).

fof(f2372,plain,
    ( identity = sk_c6
    | sk_c8 = inverse(sk_c1)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f16,f459]) ).

fof(f2366,plain,
    ( identity = sk_c6
    | sk_c7 = multiply(sk_c1,sk_c8)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f10,f459]) ).

fof(f934,plain,
    ( identity = sk_c6
    | sk_c7 = multiply(sk_c8,sk_c6)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f22,f459]) ).

fof(f2315,plain,
    ( sk_c7 = multiply(sk_c7,inverse(identity))
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1296,f45]) ).

fof(f1296,plain,
    ( inverse(sk_c8) = multiply(sk_c7,inverse(identity))
    | ~ spl0_1 ),
    inference(superposition,[],[f1265,f459]) ).

fof(f1411,plain,
    ( sk_c7 = multiply(sk_c7,inverse(identity))
    | ~ spl0_1 ),
    inference(superposition,[],[f1354,f470]) ).

fof(f1431,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c8),sk_c7) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f1354,f45]) ).

fof(f1504,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c7),sk_c8) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f1430,f45]) ).

fof(f1132,plain,
    ( identity = multiply(sk_c7,multiply(sk_c8,inverse(identity)))
    | ~ spl0_1 ),
    inference(superposition,[],[f811,f380]) ).

fof(f1134,plain,
    ( identity = multiply(sk_c8,multiply(sk_c7,inverse(identity)))
    | ~ spl0_1 ),
    inference(superposition,[],[f811,f459]) ).

fof(f2336,plain,
    ( identity = multiply(sk_c7,multiply(sk_c8,inverse(identity)))
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1133,f723]) ).

fof(f1133,plain,
    ( identity = multiply(inverse(inverse(sk_c7)),multiply(sk_c8,inverse(identity)))
    | ~ spl0_1 ),
    inference(superposition,[],[f811,f388]) ).

fof(f1559,plain,
    ( ! [X0] : sk_c8 = multiply(X0,inverse(multiply(sk_c7,X0)))
    | ~ spl0_1 ),
    inference(superposition,[],[f1269,f45]) ).

fof(f1567,plain,
    ( ! [X0] : sk_c7 = multiply(X0,inverse(multiply(sk_c8,X0)))
    | ~ spl0_1 ),
    inference(superposition,[],[f1269,f390]) ).

fof(f1415,plain,
    ( ! [X0] : sk_c7 = multiply(X0,inverse(multiply(sk_c8,X0)))
    | ~ spl0_1 ),
    inference(superposition,[],[f1354,f379]) ).

fof(f1766,plain,
    ( ! [X0] : sk_c8 = multiply(inverse(multiply(X0,sk_c7)),X0)
    | ~ spl0_1 ),
    inference(superposition,[],[f1635,f45]) ).

fof(f1311,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c8)) = multiply(sk_c7,inverse(X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f379,f1265]) ).

fof(f1594,plain,
    ( ! [X0] : multiply(sk_c7,X0) = inverse(multiply(inverse(X0),sk_c8))
    | ~ spl0_1 ),
    inference(superposition,[],[f379,f1269]) ).

fof(f1691,plain,
    ( ! [X0] : inverse(multiply(sk_c8,X0)) = multiply(inverse(X0),sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f1358,f379]) ).

fof(f1841,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c8)) = multiply(sk_c7,inverse(X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f1316,f45]) ).

fof(f1848,plain,
    ( ! [X0] : inverse(multiply(sk_c8,X0)) = multiply(inverse(X0),sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f1316,f45]) ).

fof(f1861,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c7)) = multiply(sk_c8,inverse(X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f1316,f390]) ).

fof(f1874,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c7)) = multiply(sk_c8,inverse(X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f390,f1316]) ).

fof(f1962,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c7)) = multiply(sk_c8,inverse(X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f1319,f45]) ).

fof(f2036,plain,
    ( ! [X0] : multiply(X0,sk_c7) = inverse(multiply(sk_c8,inverse(X0)))
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1978,f723]) ).

fof(f1978,plain,
    ( ! [X0] : inverse(multiply(sk_c8,inverse(X0))) = multiply(X0,inverse(inverse(sk_c7)))
    | ~ spl0_1 ),
    inference(superposition,[],[f1319,f390]) ).

fof(f2061,plain,
    ( ! [X0] : inverse(multiply(sk_c7,X0)) = multiply(inverse(X0),sk_c8)
    | ~ spl0_1 ),
    inference(superposition,[],[f1601,f45]) ).

fof(f2071,plain,
    ( ! [X0] : inverse(multiply(sk_c8,X0)) = multiply(inverse(X0),sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f1601,f390]) ).

fof(f2233,plain,
    ( identity = inverse(identity)
    | ~ spl0_8 ),
    inference(superposition,[],[f1064,f2219]) ).

fof(f2361,plain,
    ( identity = sk_c7
    | identity = sk_c6
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f956,f1064]) ).

fof(f2359,plain,
    ( identity = sk_c7
    | sk_c8 = inverse(sk_c4)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f39,f1064]) ).

fof(f2354,plain,
    ( sk_c7 = sk_c6
    | sk_c8 = inverse(sk_c4)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2353,f1]) ).

fof(f2353,plain,
    ( sk_c6 = multiply(identity,sk_c7)
    | sk_c8 = inverse(sk_c4)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f33,f2219]) ).

fof(f2352,plain,
    ( identity = sk_c7
    | sk_c7 = multiply(sk_c8,sk_c5)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f37,f1064]) ).

fof(f2351,plain,
    ( identity = sk_c7
    | sk_c5 = multiply(sk_c4,sk_c8)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f38,f1064]) ).

fof(f2350,plain,
    ( sk_c7 = sk_c6
    | sk_c7 = multiply(sk_c8,sk_c5)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2349,f1]) ).

fof(f2349,plain,
    ( sk_c6 = multiply(identity,sk_c7)
    | sk_c7 = multiply(sk_c8,sk_c5)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f31,f2219]) ).

fof(f2348,plain,
    ( sk_c7 = sk_c6
    | sk_c5 = multiply(sk_c4,sk_c8)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2347,f1]) ).

fof(f2347,plain,
    ( sk_c6 = multiply(identity,sk_c7)
    | sk_c5 = multiply(sk_c4,sk_c8)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f32,f2219]) ).

fof(f2274,plain,
    ( sk_c7 = sk_c6
    | identity = sk_c6
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2273,f1]) ).

fof(f2273,plain,
    ( sk_c6 = multiply(identity,sk_c7)
    | identity = sk_c6
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f931,f2219]) ).

fof(f2272,plain,
    ( identity = inverse(identity)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2210,f2219]) ).

fof(f2210,plain,
    ( sk_c2 = inverse(identity)
    | ~ spl0_8 ),
    inference(superposition,[],[f723,f1064]) ).

fof(f2232,plain,
    ( identity = sk_c2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2231,f2]) ).

fof(f2231,plain,
    ( ! [X0] : multiply(inverse(X0),X0) = sk_c2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2218,f704]) ).

fof(f2218,plain,
    ( ! [X0] : sk_c2 = multiply(inverse(multiply(X0,identity)),X0)
    | ~ spl0_8 ),
    inference(superposition,[],[f1635,f1064]) ).

fof(f2230,plain,
    ( ! [X0] : inverse(X0) = multiply(inverse(X0),sk_c2)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2217,f1]) ).

fof(f2217,plain,
    ( ! [X0] : inverse(multiply(identity,X0)) = multiply(inverse(X0),sk_c2)
    | ~ spl0_8 ),
    inference(superposition,[],[f1601,f1064]) ).

fof(f2229,plain,
    ( ! [X0] : multiply(X0,sk_c2) = X0
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2216,f704]) ).

fof(f2216,plain,
    ( ! [X0] : multiply(multiply(X0,identity),sk_c2) = X0
    | ~ spl0_8 ),
    inference(superposition,[],[f1430,f1064]) ).

fof(f2215,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c2),identity) = X0
    | ~ spl0_8 ),
    inference(superposition,[],[f1354,f1064]) ).

fof(f2228,plain,
    ( ! [X0] : inverse(X0) = multiply(sk_c2,inverse(X0))
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2214,f704]) ).

fof(f2214,plain,
    ( ! [X0] : inverse(multiply(X0,identity)) = multiply(sk_c2,inverse(X0))
    | ~ spl0_8 ),
    inference(superposition,[],[f1319,f1064]) ).

fof(f2227,plain,
    ( ! [X0] : inverse(X0) = inverse(multiply(sk_c2,X0))
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2213,f704]) ).

fof(f2213,plain,
    ( ! [X0] : multiply(inverse(X0),identity) = inverse(multiply(sk_c2,X0))
    | ~ spl0_8 ),
    inference(superposition,[],[f1316,f1064]) ).

fof(f2226,plain,
    ( ! [X0] : inverse(X0) = inverse(multiply(X0,sk_c2))
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2212,f1]) ).

fof(f2212,plain,
    ( ! [X0] : multiply(identity,inverse(X0)) = inverse(multiply(X0,sk_c2))
    | ~ spl0_8 ),
    inference(superposition,[],[f1316,f1064]) ).

fof(f2225,plain,
    ( identity = sk_c2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2224,f702]) ).

fof(f2224,plain,
    ( ! [X0] : sk_c2 = multiply(X0,inverse(X0))
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2211,f1]) ).

fof(f2211,plain,
    ( ! [X0] : sk_c2 = multiply(X0,inverse(multiply(identity,X0)))
    | ~ spl0_8 ),
    inference(superposition,[],[f1269,f1064]) ).

fof(f2222,plain,
    ( ! [X0] : multiply(sk_c2,X0) = X0
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2209,f1]) ).

fof(f2209,plain,
    ( ! [X0] : multiply(sk_c2,multiply(identity,X0)) = X0
    | ~ spl0_8 ),
    inference(superposition,[],[f705,f1064]) ).

fof(f2208,plain,
    ( identity = multiply(sk_c2,identity)
    | ~ spl0_8 ),
    inference(superposition,[],[f702,f1064]) ).

fof(f2221,plain,
    ( identity = multiply(identity,sk_c2)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2207,f723]) ).

fof(f2207,plain,
    ( identity = multiply(inverse(inverse(identity)),sk_c2)
    | ~ spl0_8 ),
    inference(superposition,[],[f618,f1064]) ).

fof(f2220,plain,
    ( ! [X0] : multiply(sk_c2,X0) = X0
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2206,f243]) ).

fof(f2206,plain,
    ( ! [X0] : multiply(inverse(identity),X0) = multiply(sk_c2,X0)
    | ~ spl0_8 ),
    inference(superposition,[],[f257,f1064]) ).

fof(f2204,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c2,X0)) = X0
    | ~ spl0_8 ),
    inference(superposition,[],[f67,f1064]) ).

fof(f2203,plain,
    ( identity = multiply(identity,sk_c2)
    | ~ spl0_8 ),
    inference(superposition,[],[f2,f1064]) ).

fof(f920,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != sk_c6
        | sk_c7 != inverse(X4)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X5)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c7 != multiply(sk_c8,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,[],[f779,f459]) ).

fof(f779,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != inverse(X4)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X5)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c7 != multiply(sk_c8,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(f470,plain,
    ( sk_c7 = multiply(sk_c7,identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f379,f459]) ).

fof(f473,plain,
    ( sk_c7 = multiply(sk_c7,identity)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f471,f45]) ).

fof(f471,plain,
    ( sk_c7 = multiply(inverse(sk_c8),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f67,f459]) ).

fof(f459,plain,
    ( identity = multiply(sk_c8,sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f390,f2]) ).

fof(f464,plain,
    ( ! [X0] : multiply(inverse(inverse(sk_c7)),multiply(sk_c8,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f67,f390]) ).

fof(f463,plain,
    ( identity = multiply(sk_c8,sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f390]) ).

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

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

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

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(f3602,plain,
    ( spl0_5
    | spl0_5
    | spl0_5
    | spl0_6
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f3590,f1058,f424,f47,f43,f911,f908,f908,f908]) ).

fof(f908,plain,
    ( spl0_5
  <=> ! [X4] :
        ( identity != multiply(X4,identity)
        | identity != inverse(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f911,plain,
    ( spl0_6
  <=> ! [X7] :
        ( identity != multiply(identity,X7)
        | identity != inverse(X7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f3590,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_7 ),
    inference(forward_demodulation,[],[f3589,f704]) ).

fof(f3589,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_7 ),
    inference(forward_demodulation,[],[f3588,f3521]) ).

fof(f3521,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f3506,f2]) ).

fof(f3506,plain,
    ( sk_c8 = multiply(inverse(sk_c8),sk_c8)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_7 ),
    inference(superposition,[],[f67,f3483]) ).

fof(f3483,plain,
    ( sk_c8 = multiply(sk_c8,sk_c8)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f3482,f3326]) ).

fof(f3326,plain,
    ( sk_c8 = sk_c7
    | spl0_2
    | ~ spl0_7 ),
    inference(global_subsumption,[],[f30,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f10,f34,f16,f8,f7,f5,f4,f9,f243,f420,f21,f244,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f1674,f2346,f1111,f27,f15,f2319,f1309,f1302,f1292,f14,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f13,f1564,f20,f19,f2303,f2291,f2280,f2145,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f1442,f1321,f39,f2753,f37,f38,f2757,f2759,f26,f25,f33,f31,f32,f1060,f1247,f1246,f1236,f1235,f925,f924,f812,f806,f737,f736,f726,f725,f677,f674,f17,f35,f3300,f3302,f11,f3313,f48,f18,f36,f3324,f12,f3325,f3316]) ).

fof(f3316,plain,
    ( sk_c8 = sk_c7
    | sk_c8 = inverse(sk_c3)
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f3315,f704]) ).

fof(f3315,plain,
    ( sk_c7 = multiply(sk_c8,identity)
    | sk_c8 = inverse(sk_c3)
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f24,f1060]) ).

fof(f3313,plain,
    ( identity = multiply(sk_c2,sk_c7)
    | sk_c8 = inverse(sk_c3)
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f30,f1060]) ).

fof(f3302,plain,
    ( identity = multiply(sk_c2,sk_c7)
    | sk_c7 = multiply(sk_c3,sk_c8)
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f29,f1060]) ).

fof(f3300,plain,
    ( sk_c8 = sk_c7
    | sk_c7 = multiply(sk_c3,sk_c8)
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f3299,f704]) ).

fof(f3299,plain,
    ( sk_c7 = multiply(sk_c8,identity)
    | sk_c7 = multiply(sk_c3,sk_c8)
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f23,f1060]) ).

fof(f1060,plain,
    ( identity = sk_c6
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f1058]) ).

fof(f2759,plain,
    ( identity = multiply(sk_c2,sk_c7)
    | sk_c5 = multiply(sk_c4,sk_c8)
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f32,f1060]) ).

fof(f2757,plain,
    ( identity = multiply(sk_c2,sk_c7)
    | sk_c7 = multiply(sk_c8,sk_c5)
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f31,f1060]) ).

fof(f2753,plain,
    ( identity = multiply(sk_c2,sk_c7)
    | sk_c8 = inverse(sk_c4)
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f33,f1060]) ).

fof(f3482,plain,
    ( sk_c7 = multiply(sk_c8,sk_c8)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f3325,f3361]) ).

fof(f3361,plain,
    ( sk_c8 = sk_c1
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f3349,f3326]) ).

fof(f3588,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_7 ),
    inference(forward_demodulation,[],[f3587,f3521]) ).

fof(f3587,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_7 ),
    inference(forward_demodulation,[],[f3586,f3521]) ).

fof(f3586,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_7 ),
    inference(forward_demodulation,[],[f3585,f3521]) ).

fof(f3585,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X5)
        | identity != inverse(X7)
        | identity != inverse(X3)
        | identity != inverse(X4)
        | identity != multiply(X4,sk_c8)
        | 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_7 ),
    inference(forward_demodulation,[],[f3584,f3521]) ).

fof(f3584,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X7)
        | identity != inverse(X3)
        | identity != inverse(X4)
        | sk_c8 != inverse(X5)
        | identity != multiply(X4,sk_c8)
        | 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_7 ),
    inference(forward_demodulation,[],[f3583,f3521]) ).

fof(f3583,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X3)
        | identity != inverse(X4)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X5)
        | identity != multiply(X4,sk_c8)
        | 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_7 ),
    inference(forward_demodulation,[],[f3582,f3521]) ).

fof(f3582,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X4)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X5)
        | identity != multiply(X4,sk_c8)
        | 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_7 ),
    inference(forward_demodulation,[],[f3581,f3521]) ).

fof(f3581,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c8 != inverse(X4)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X5)
        | identity != multiply(X4,sk_c8)
        | 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 ),
    inference(subsumption_resolution,[],[f3306,f3326]) ).

fof(f3306,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c8 != sk_c7
        | sk_c8 != inverse(X4)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X5)
        | identity != multiply(X4,sk_c8)
        | sk_c8 != multiply(X5,sk_c8)
        | sk_c8 != multiply(X3,sk_c8)
        | sk_c8 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(inner_rewriting,[],[f3305]) ).

fof(f3305,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c8 != sk_c7
        | sk_c7 != inverse(X4)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X5)
        | identity != multiply(X4,sk_c7)
        | sk_c7 != multiply(X5,sk_c8)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f3304,f704]) ).

fof(f3304,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != inverse(X4)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X5)
        | identity != multiply(X4,sk_c7)
        | sk_c7 != multiply(sk_c8,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_7 ),
    inference(subsumption_resolution,[],[f921,f1060]) ).

fof(f921,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != sk_c6
        | sk_c7 != inverse(X4)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X5)
        | identity != multiply(X4,sk_c7)
        | sk_c7 != multiply(sk_c8,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,[],[f920]) ).

fof(f3523,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3522]) ).

fof(f3522,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | spl0_8 ),
    inference(subsumption_resolution,[],[f3521,f3418]) ).

fof(f3418,plain,
    ( identity != sk_c8
    | spl0_2
    | ~ spl0_7
    | spl0_8 ),
    inference(superposition,[],[f1063,f3389]) ).

fof(f3389,plain,
    ( sk_c8 = inverse(sk_c2)
    | spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f3324,f3326]) ).

fof(f3519,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3518]) ).

fof(f3518,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | spl0_8 ),
    inference(subsumption_resolution,[],[f3517,f3444]) ).

fof(f3444,plain,
    ( identity != inverse(sk_c8)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | spl0_8 ),
    inference(superposition,[],[f1063,f3437]) ).

fof(f3437,plain,
    ( sk_c8 = sk_c2
    | ~ spl0_1
    | spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f3436,f3326]) ).

fof(f3436,plain,
    ( sk_c7 = sk_c2
    | ~ spl0_1
    | spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f3435,f470]) ).

fof(f3435,plain,
    ( sk_c2 = multiply(sk_c7,identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f3421,f45]) ).

fof(f3421,plain,
    ( sk_c2 = multiply(inverse(sk_c8),identity)
    | spl0_2
    | ~ spl0_7 ),
    inference(superposition,[],[f244,f3389]) ).

fof(f3517,plain,
    ( identity = inverse(sk_c8)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f3504,f702]) ).

fof(f3504,plain,
    ( inverse(sk_c8) = multiply(sk_c8,inverse(sk_c8))
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_7 ),
    inference(superposition,[],[f1265,f3483]) ).

fof(f3516,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3515]) ).

fof(f3515,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | spl0_8 ),
    inference(subsumption_resolution,[],[f3514,f3418]) ).

fof(f3514,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f3503,f702]) ).

fof(f3503,plain,
    ( sk_c8 = multiply(sk_c8,inverse(sk_c8))
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_7 ),
    inference(superposition,[],[f1354,f3483]) ).

fof(f3513,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3512]) ).

fof(f3512,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | spl0_8 ),
    inference(subsumption_resolution,[],[f3511,f3444]) ).

fof(f3511,plain,
    ( identity = inverse(sk_c8)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f3502,f2]) ).

fof(f3502,plain,
    ( inverse(sk_c8) = multiply(inverse(sk_c8),sk_c8)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_7 ),
    inference(superposition,[],[f1358,f3483]) ).

fof(f3510,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3509]) ).

fof(f3509,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | spl0_8 ),
    inference(subsumption_resolution,[],[f3508,f3418]) ).

fof(f3508,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f3501,f380]) ).

fof(f3501,plain,
    ( sk_c8 = multiply(sk_c7,sk_c8)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_7 ),
    inference(superposition,[],[f379,f3483]) ).

fof(f3322,plain,
    ( spl0_2
    | spl0_3
    | ~ spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3321]) ).

fof(f3321,plain,
    ( $false
    | spl0_2
    | spl0_3
    | ~ spl0_7 ),
    inference(global_subsumption,[],[f30,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f10,f34,f16,f8,f7,f5,f4,f9,f243,f420,f21,f244,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f1674,f2346,f1111,f27,f15,f2319,f1309,f1302,f1292,f14,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f13,f1564,f20,f19,f2303,f2291,f2280,f2145,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f1442,f1321,f39,f2753,f37,f38,f2757,f2758,f2759,f2760,f26,f25,f33,f31,f32,f1060,f1247,f1246,f1236,f1235,f925,f924,f812,f806,f737,f736,f726,f725,f677,f674,f3041,f3040,f3035,f3034,f2756,f2755,f2743,f2742,f2741,f2740,f425,f17,f3283,f35,f3298,f3300,f3301,f3302,f3303,f11,f3310,f3313,f3314,f3316,f3317,f12,f3318,f36,f3319,f18,f3320,f48]) ).

fof(f3320,plain,
    ( sk_c8 = inverse(sk_c3)
    | spl0_3
    | ~ spl0_7 ),
    inference(global_subsumption,[],[f30,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f10,f34,f16,f8,f7,f5,f4,f9,f243,f420,f21,f244,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f1674,f2346,f1111,f27,f15,f2319,f1309,f1302,f1292,f14,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f13,f1564,f20,f19,f2303,f2291,f2280,f2145,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f1442,f1321,f39,f2753,f37,f38,f2757,f2758,f2759,f2760,f26,f25,f33,f31,f32,f1060,f1247,f1246,f1236,f1235,f925,f924,f812,f806,f737,f736,f726,f725,f677,f674,f3041,f3040,f3035,f3034,f2756,f2755,f2743,f2742,f2741,f2740,f425,f17,f3283,f35,f3298,f3300,f3301,f3302,f3303,f11,f3310,f3313,f3314,f3316,f3317,f12,f3318,f36,f3319,f18]) ).

fof(f3319,plain,
    ( sk_c8 = inverse(sk_c3)
    | spl0_3
    | ~ spl0_7 ),
    inference(global_subsumption,[],[f18,f30,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f10,f34,f16,f8,f7,f5,f4,f9,f243,f420,f21,f244,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f1674,f2346,f1111,f27,f15,f2319,f1309,f1302,f1292,f14,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f13,f1564,f20,f19,f2303,f2291,f2280,f2145,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f1442,f1321,f39,f2753,f37,f38,f2757,f2758,f2759,f2760,f26,f25,f33,f31,f32,f1060,f1247,f1246,f1236,f1235,f925,f924,f812,f806,f737,f736,f726,f725,f677,f674,f3041,f3040,f3035,f3034,f2756,f2755,f2743,f2742,f2741,f2740,f425,f17,f3283,f35,f3298,f3300,f3301,f3302,f3303,f11,f3310,f3313,f3314,f3316,f3317,f12,f3318,f36]) ).

fof(f3318,plain,
    ( sk_c8 = inverse(sk_c3)
    | spl0_3
    | ~ spl0_7 ),
    inference(global_subsumption,[],[f36,f18,f30,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f10,f34,f16,f8,f7,f5,f4,f9,f243,f420,f21,f244,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f1674,f2346,f1111,f27,f15,f2319,f1309,f1302,f1292,f14,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f13,f1564,f20,f19,f2303,f2291,f2280,f2145,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f1442,f1321,f39,f2753,f37,f38,f2757,f2758,f2759,f2760,f26,f25,f33,f31,f32,f1060,f1247,f1246,f1236,f1235,f925,f924,f812,f806,f737,f736,f726,f725,f677,f674,f3041,f3040,f3035,f3034,f2756,f2755,f2743,f2742,f2741,f2740,f425,f17,f3283,f35,f3298,f3300,f3301,f3302,f3303,f11,f3310,f3313,f3314,f3316,f3317,f12]) ).

fof(f3317,plain,
    ( sk_c8 = inverse(sk_c3)
    | spl0_3
    | ~ spl0_7 ),
    inference(global_subsumption,[],[f36,f18,f30,f12,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f10,f34,f16,f8,f7,f5,f4,f9,f243,f420,f21,f244,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f1674,f2346,f1111,f27,f15,f2319,f1309,f1302,f1292,f14,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f13,f1564,f20,f19,f2303,f2291,f2280,f2145,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f1442,f1321,f39,f2753,f37,f38,f2757,f2758,f2759,f2760,f26,f25,f33,f31,f32,f1060,f1247,f1246,f1236,f1235,f925,f924,f812,f806,f737,f736,f726,f725,f677,f674,f3041,f3040,f3035,f3034,f2756,f2755,f2743,f2742,f2741,f2740,f425,f17,f3283,f35,f3298,f3300,f3301,f3302,f3303,f11,f3310,f3313,f3314,f3316]) ).

fof(f3314,plain,
    ( sk_c8 = inverse(sk_c3)
    | spl0_3
    | ~ spl0_7 ),
    inference(global_subsumption,[],[f3313,f36,f18,f30,f12,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f10,f34,f16,f8,f7,f5,f4,f9,f243,f420,f21,f244,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f1674,f2346,f1111,f27,f15,f2319,f1309,f1302,f1292,f14,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f13,f1564,f20,f19,f2303,f2291,f2280,f2145,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f1442,f1321,f39,f37,f38,f26,f25,f33,f31,f32,f1247,f1246,f1236,f1235,f925,f924,f812,f806,f737,f736,f726,f725,f677,f674,f3041,f3040,f3035,f3034,f2756,f2755,f2743,f2742,f2741,f2740,f425,f17,f3283,f35,f3298,f11,f3310]) ).

fof(f3310,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,f34,f16,f8,f7,f5,f4,f9,f243,f420,f21,f244,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f1674,f2346,f1111,f27,f15,f2319,f1309,f1302,f1292,f14,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f13,f1564,f20,f19,f2303,f2291,f2280,f2145,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f1442,f1321,f39,f37,f38,f26,f25,f33,f31,f32,f1247,f1246,f1236,f1235,f925,f924,f812,f806,f737,f736,f726,f725,f677,f674,f3041,f3040,f3035,f3034,f2756,f2755,f2743,f2742,f2741,f2740,f425,f17,f3283,f35,f3298,f11]) ).

fof(f3303,plain,
    ( sk_c7 = multiply(sk_c3,sk_c8)
    | spl0_3
    | ~ spl0_7 ),
    inference(global_subsumption,[],[f3302,f36,f18,f30,f12,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f11,f10,f34,f16,f8,f7,f5,f4,f9,f243,f420,f21,f244,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f1674,f2346,f1111,f27,f15,f2319,f1309,f1302,f1292,f14,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f13,f1564,f20,f19,f2303,f2291,f2280,f2145,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f1442,f1321,f39,f37,f38,f26,f25,f33,f31,f32,f1247,f1246,f1236,f1235,f925,f924,f812,f806,f737,f736,f726,f725,f677,f674,f3041,f3040,f3035,f3034,f2756,f2755,f2743,f2742,f2741,f2740,f425,f17,f3283,f35,f3298]) ).

fof(f3301,plain,
    ( sk_c7 = multiply(sk_c3,sk_c8)
    | spl0_3
    | ~ spl0_7 ),
    inference(global_subsumption,[],[f3300,f36,f18,f30,f12,f24,f1,f2,f6,f3,f67,f247,f41,f29,f28,f23,f22,f11,f10,f34,f16,f8,f7,f5,f4,f9,f243,f420,f21,f244,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f1674,f2346,f1111,f27,f15,f2319,f1309,f1302,f1292,f14,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f13,f1564,f20,f19,f2303,f2291,f2280,f2145,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f1442,f1321,f39,f37,f38,f26,f25,f33,f31,f32,f1247,f1246,f1236,f1235,f925,f924,f812,f806,f737,f736,f726,f725,f677,f674,f3041,f3040,f3035,f3034,f2756,f2755,f2743,f2742,f2741,f2740,f425,f17,f3283,f35,f3298]) ).

fof(f3298,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,f34,f16,f8,f7,f5,f4,f9,f243,f420,f21,f244,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f1674,f2346,f1111,f27,f15,f2319,f1309,f1302,f1292,f14,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f13,f1564,f20,f19,f2303,f2291,f2280,f2145,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f1442,f1321,f39,f37,f38,f26,f25,f33,f31,f32,f1247,f1246,f1236,f1235,f925,f924,f812,f806,f737,f736,f726,f725,f677,f674,f3041,f3040,f3035,f3034,f2756,f2755,f2743,f2742,f2741,f2740,f425,f17,f3283,f35]) ).

fof(f3283,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,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f1674,f2346,f1111,f27,f15,f2319,f1309,f1302,f1292,f14,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f13,f1564,f20,f19,f2303,f2291,f2280,f2145,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f1442,f1321,f39,f37,f38,f26,f25,f33,f31,f32,f1247,f1246,f1236,f1235,f925,f924,f812,f806,f737,f736,f726,f725,f677,f674,f3041,f3040,f3035,f3034,f2756,f2755,f2743,f2742,f2741,f2740,f425,f17]) ).

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

fof(f2740,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,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f32,f31,f38,f37,f33,f39,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f25,f2145,f2280,f2130,f2066,f2035,f2027,f2281,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f2284,f1730,f2291,f1674,f2298,f2300,f2301,f1564,f1527,f1521,f2303,f2306,f1406,f1442,f2324,f2325,f1321,f1247,f1246,f1236,f1235,f2346,f1111,f26,f27,f925,f924,f812,f806,f737,f736,f726,f725,f677,f674,f15,f13,f20,f19,f425,f2319,f1309,f1302,f1292,f14]) ).

fof(f2741,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,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f32,f31,f38,f37,f33,f39,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f25,f2145,f2280,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f2291,f1674,f1564,f2303,f1442,f1321,f1247,f1246,f1236,f1235,f2346,f1111,f26,f27,f925,f924,f812,f806,f737,f736,f726,f725,f677,f674,f15,f20,f19,f425,f2319,f1309,f1302,f1292,f14,f2740,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f13]) ).

fof(f2742,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,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f32,f31,f38,f37,f33,f39,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f25,f2145,f2280,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f2291,f1674,f2303,f1442,f1321,f1247,f1246,f1236,f1235,f2346,f1111,f26,f27,f925,f924,f812,f806,f737,f736,f726,f725,f677,f674,f15,f19,f425,f2319,f1309,f1302,f1292,f14,f2740,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f13,f2741,f1564,f20]) ).

fof(f2743,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,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f32,f31,f38,f37,f33,f39,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f25,f2145,f2280,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f2291,f1674,f2303,f1442,f1321,f1247,f1246,f1236,f1235,f2346,f1111,f26,f27,f925,f924,f812,f806,f737,f736,f726,f725,f677,f674,f15,f425,f2319,f1309,f1302,f1292,f14,f2740,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f13,f2741,f1564,f20,f2742,f19]) ).

fof(f2755,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,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f32,f31,f38,f33,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f25,f1674,f2346,f1111,f26,f27,f15,f2319,f1309,f1302,f1292,f14,f2740,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f13,f2741,f1564,f20,f2742,f19,f2743,f2303,f2291,f2280,f2145,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f1442,f1321,f1247,f1246,f1236,f1235,f925,f924,f812,f806,f737,f736,f726,f725,f677,f674,f425,f39,f37]) ).

fof(f2756,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,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f32,f31,f33,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f25,f1674,f2346,f1111,f26,f27,f15,f2319,f1309,f1302,f1292,f14,f2740,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f13,f2741,f1564,f20,f2742,f19,f2743,f2303,f2291,f2280,f2145,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f1442,f1321,f1247,f1246,f1236,f1235,f925,f924,f812,f806,f737,f736,f726,f725,f677,f674,f425,f39,f37,f2755,f38]) ).

fof(f3034,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,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f1674,f2346,f1111,f27,f15,f2319,f1309,f1302,f1292,f14,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f13,f1564,f20,f19,f2303,f2291,f2280,f2145,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f1442,f1321,f1247,f1246,f1236,f1235,f925,f924,f812,f806,f39,f37,f38,f737,f736,f726,f725,f677,f674,f2756,f2755,f2743,f2742,f2741,f2740,f425,f32,f31,f33,f25,f26]) ).

fof(f3035,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,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f1674,f2346,f1111,f27,f15,f2319,f1309,f1302,f1292,f14,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f13,f1564,f20,f19,f2303,f2291,f2280,f2145,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f1442,f1321,f1247,f1246,f1236,f1235,f925,f924,f812,f806,f39,f37,f38,f737,f736,f726,f725,f677,f674,f2756,f2755,f2743,f2742,f2741,f2740,f425,f32,f31,f33,f26,f3034,f25]) ).

fof(f3040,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,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f1674,f2346,f1111,f27,f15,f2319,f1309,f1302,f1292,f14,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f13,f1564,f20,f19,f2303,f2291,f2280,f2145,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f1442,f1321,f1247,f1246,f1236,f1235,f925,f924,f812,f806,f39,f37,f38,f737,f736,f726,f725,f677,f674,f2756,f2755,f2743,f2742,f2741,f2740,f425,f32,f26,f3034,f25,f3035,f33,f31]) ).

fof(f3041,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,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f1674,f2346,f1111,f27,f15,f2319,f1309,f1302,f1292,f14,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f13,f1564,f20,f19,f2303,f2291,f2280,f2145,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f1442,f1321,f1247,f1246,f1236,f1235,f925,f924,f812,f806,f39,f37,f38,f737,f736,f726,f725,f677,f674,f2756,f2755,f2743,f2742,f2741,f2740,f425,f26,f3034,f25,f3035,f33,f31,f3040,f32]) ).

fof(f2760,plain,
    ( sk_c5 = multiply(sk_c4,sk_c8)
    | spl0_3
    | ~ spl0_7 ),
    inference(global_subsumption,[],[f2759,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,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f32,f31,f33,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f25,f1674,f2346,f1111,f26,f27,f15,f2319,f1309,f1302,f1292,f14,f2740,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f13,f2741,f1564,f20,f2742,f19,f2743,f2303,f2291,f2280,f2145,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f1442,f1321,f1247,f1246,f1236,f1235,f925,f924,f812,f806,f737,f736,f726,f725,f677,f674,f425,f39,f37,f2755,f38,f2756]) ).

fof(f2758,plain,
    ( sk_c7 = multiply(sk_c8,sk_c5)
    | spl0_3
    | ~ spl0_7 ),
    inference(global_subsumption,[],[f2757,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,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f32,f31,f33,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f25,f1674,f2346,f1111,f26,f27,f15,f2319,f1309,f1302,f1292,f14,f2740,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f13,f2741,f1564,f20,f2742,f19,f2743,f2303,f2291,f2280,f2145,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f1442,f1321,f1247,f1246,f1236,f1235,f925,f924,f812,f806,f737,f736,f726,f725,f677,f674,f425,f39,f37,f2755,f38,f2756]) ).

fof(f3273,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3272]) ).

fof(f3272,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f3271,f3101]) ).

fof(f3101,plain,
    ( identity = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f3100,f2773]) ).

fof(f2773,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f2763,f2]) ).

fof(f2763,plain,
    ( sk_c8 = multiply(inverse(identity),identity)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_7 ),
    inference(superposition,[],[f381,f2746]) ).

fof(f2746,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_7 ),
    inference(global_subsumption,[],[f2745,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,f463,f464,f459,f473,f470,f476,f475,f480,f244,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f920,f922,f32,f31,f930,f931,f38,f37,f954,f956,f33,f39,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f25,f934,f923,f2279,f2150,f2288,f1732,f1731,f2290,f1724,f1674,f1245,f1244,f1243,f1234,f1233,f1232,f2346,f1111,f26,f27,f933,f15,f2366,f628,f2370,f2372,f425,f2319,f1309,f1302,f1292,f2062,f1963,f1849,f1842,f2286,f2283,f2282,f2118,f2071,f2061,f2036,f2011,f1962,f1874,f1861,f1848,f1841,f1691,f1690,f2310,f1659,f1595,f1594,f1312,f1311,f1767,f1560,f2285,f1766,f1459,f1415,f1414,f2302,f1567,f1559,f2336,f2335,f1218,f1134,f1132,f14,f2740,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f13,f2741,f1564,f1535,f1505,f1504,f1432,f2304,f20,f2742,f1431,f19,f2743,f2309,f2308,f2305,f1411,f1410,f2318,f2317,f2315,f2314,f2312,f2297,f2296,f2303,f2291,f2280,f2145,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f1442,f1321,f1247,f1246,f1236,f1235,f925,f924,f812,f806,f737,f736,f726,f725,f677,f674]) ).

fof(f2296,plain,
    ( sk_c7 = multiply(sk_c7,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1580,f475]) ).

fof(f1580,plain,
    ( sk_c7 = multiply(sk_c3,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1269,f385]) ).

fof(f2297,plain,
    ( sk_c8 = multiply(sk_c8,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1579,f480]) ).

fof(f2312,plain,
    ( sk_c7 = multiply(sk_c7,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2311,f723]) ).

fof(f2311,plain,
    ( inverse(inverse(sk_c7)) = multiply(sk_c7,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1298,f475]) ).

fof(f1298,plain,
    ( inverse(inverse(sk_c7)) = multiply(sk_c3,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1265,f385]) ).

fof(f2314,plain,
    ( sk_c7 = multiply(sk_c7,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2313,f45]) ).

fof(f2313,plain,
    ( inverse(sk_c8) = multiply(sk_c7,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1297,f475]) ).

fof(f1297,plain,
    ( inverse(sk_c8) = multiply(sk_c3,inverse(identity))
    | ~ spl0_2 ),
    inference(superposition,[],[f1265,f51]) ).

fof(f2317,plain,
    ( sk_c8 = multiply(sk_c8,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2316,f480]) ).

fof(f2318,plain,
    ( sk_c8 = multiply(sk_c8,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1294,f480]) ).

fof(f1410,plain,
    ( sk_c8 = multiply(sk_c8,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1354,f412]) ).

fof(f2305,plain,
    ( sk_c7 = multiply(sk_c7,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1412,f475]) ).

fof(f1412,plain,
    ( sk_c7 = multiply(sk_c3,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1354,f384]) ).

fof(f2308,plain,
    ( sk_c7 = multiply(sk_c7,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2307,f723]) ).

fof(f2307,plain,
    ( inverse(inverse(sk_c7)) = multiply(sk_c7,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1408,f475]) ).

fof(f1408,plain,
    ( inverse(inverse(sk_c7)) = multiply(sk_c3,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1354,f391]) ).

fof(f2309,plain,
    ( sk_c8 = multiply(sk_c8,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1407,f480]) ).

fof(f2304,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c7),sk_c8) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1433,f475]) ).

fof(f1433,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c3),sk_c8) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f1354,f49]) ).

fof(f1432,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c7),sk_c8) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1354,f480]) ).

fof(f1505,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c8),sk_c7) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1430,f480]) ).

fof(f1535,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c8),sk_c7) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1506,f475]) ).

fof(f1506,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c8),sk_c3) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f1430,f49]) ).

fof(f1218,plain,
    ( identity = multiply(sk_c8,multiply(sk_c7,inverse(identity)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1135,f387]) ).

fof(f1135,plain,
    ( identity = multiply(sk_c8,multiply(sk_c3,inverse(identity)))
    | ~ spl0_2 ),
    inference(superposition,[],[f811,f51]) ).

fof(f2335,plain,
    ( identity = multiply(sk_c8,multiply(sk_c7,inverse(identity)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1220,f480]) ).

fof(f1220,plain,
    ( identity = multiply(inverse(sk_c7),multiply(sk_c7,inverse(identity)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1136,f387]) ).

fof(f1136,plain,
    ( identity = multiply(inverse(sk_c7),multiply(sk_c3,inverse(identity)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f811,f385]) ).

fof(f2302,plain,
    ( ! [X0] : sk_c7 = multiply(X0,inverse(multiply(sk_c8,X0)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1561,f475]) ).

fof(f1561,plain,
    ( ! [X0] : sk_c3 = multiply(X0,inverse(multiply(sk_c8,X0)))
    | ~ spl0_2 ),
    inference(superposition,[],[f1269,f49]) ).

fof(f1414,plain,
    ( ! [X0] : sk_c8 = multiply(X0,inverse(multiply(sk_c7,X0)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1354,f399]) ).

fof(f1459,plain,
    ( ! [X0] : sk_c8 = multiply(X0,inverse(multiply(sk_c7,X0)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1413,f387]) ).

fof(f1413,plain,
    ( ! [X0] : sk_c8 = multiply(X0,inverse(multiply(sk_c3,X0)))
    | ~ spl0_2 ),
    inference(superposition,[],[f1354,f70]) ).

fof(f2285,plain,
    ( ! [X0] : sk_c7 = multiply(inverse(multiply(X0,sk_c8)),X0)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1768,f475]) ).

fof(f1768,plain,
    ( ! [X0] : sk_c3 = multiply(inverse(multiply(X0,sk_c8)),X0)
    | ~ spl0_2 ),
    inference(superposition,[],[f1635,f49]) ).

fof(f1560,plain,
    ( ! [X0] : sk_c7 = multiply(X0,inverse(multiply(sk_c8,X0)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1269,f480]) ).

fof(f1767,plain,
    ( ! [X0] : sk_c7 = multiply(inverse(multiply(X0,sk_c8)),X0)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1635,f480]) ).

fof(f1312,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c7)) = multiply(sk_c8,inverse(X0))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f399,f1265]) ).

fof(f1595,plain,
    ( ! [X0] : multiply(sk_c8,X0) = inverse(multiply(inverse(X0),sk_c7))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f399,f1269]) ).

fof(f1659,plain,
    ( ! [X0] : multiply(sk_c8,X0) = inverse(multiply(inverse(X0),sk_c7))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1597,f475]) ).

fof(f1597,plain,
    ( ! [X0] : multiply(sk_c8,X0) = inverse(multiply(inverse(X0),sk_c3))
    | ~ spl0_2 ),
    inference(superposition,[],[f70,f1269]) ).

fof(f2310,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c7)) = multiply(sk_c8,inverse(X0))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1314,f475]) ).

fof(f1314,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c3)) = multiply(sk_c8,inverse(X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f70,f1265]) ).

fof(f1690,plain,
    ( ! [X0] : inverse(multiply(sk_c7,X0)) = multiply(inverse(X0),sk_c8)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1358,f399]) ).

fof(f2011,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c8)) = multiply(sk_c7,inverse(X0))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1964,f387]) ).

fof(f1964,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c8)) = multiply(sk_c3,inverse(X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f1319,f49]) ).

fof(f2118,plain,
    ( ! [X0] : inverse(multiply(sk_c8,X0)) = multiply(inverse(X0),sk_c7)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2063,f475]) ).

fof(f2063,plain,
    ( ! [X0] : inverse(multiply(sk_c8,X0)) = multiply(inverse(X0),sk_c3)
    | ~ spl0_2 ),
    inference(superposition,[],[f1601,f49]) ).

fof(f2282,plain,
    ( ! [X0] : inverse(multiply(sk_c7,X0)) = multiply(inverse(X0),sk_c8)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1850,f387]) ).

fof(f1850,plain,
    ( ! [X0] : inverse(multiply(sk_c3,X0)) = multiply(inverse(X0),sk_c8)
    | ~ spl0_2 ),
    inference(superposition,[],[f1316,f49]) ).

fof(f2283,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c7)) = multiply(sk_c8,inverse(X0))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1843,f475]) ).

fof(f1843,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c3)) = multiply(sk_c8,inverse(X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f1316,f49]) ).

fof(f2286,plain,
    ( ! [X0] : inverse(multiply(sk_c7,X0)) = multiply(inverse(X0),sk_c8)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1689,f387]) ).

fof(f1689,plain,
    ( ! [X0] : inverse(multiply(sk_c3,X0)) = multiply(inverse(X0),sk_c8)
    | ~ spl0_2 ),
    inference(superposition,[],[f1358,f70]) ).

fof(f1842,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c7)) = multiply(sk_c8,inverse(X0))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1316,f480]) ).

fof(f1849,plain,
    ( ! [X0] : inverse(multiply(sk_c7,X0)) = multiply(inverse(X0),sk_c8)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1316,f480]) ).

fof(f1963,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c8)) = multiply(sk_c7,inverse(X0))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1319,f480]) ).

fof(f2062,plain,
    ( ! [X0] : inverse(multiply(sk_c8,X0)) = multiply(inverse(X0),sk_c7)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1601,f480]) ).

fof(f2370,plain,
    ( identity = sk_c7
    | sk_c8 = inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2369,f380]) ).

fof(f2369,plain,
    ( sk_c7 = multiply(sk_c7,sk_c8)
    | sk_c8 = inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f17,f475]) ).

fof(f628,plain,
    ( identity = sk_c7
    | sk_c7 = multiply(sk_c1,sk_c8)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f627,f380]) ).

fof(f627,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(f933,plain,
    ( identity = sk_c7
    | sk_c7 = multiply(sk_c8,sk_c6)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f932,f380]) ).

fof(f932,plain,
    ( sk_c7 = multiply(sk_c7,sk_c8)
    | sk_c7 = multiply(sk_c8,sk_c6)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f23,f475]) ).

fof(f1232,plain,
    ( identity = inverse(identity)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1145,f51]) ).

fof(f1145,plain,
    ( identity = inverse(multiply(sk_c8,sk_c3))
    | ~ spl0_2 ),
    inference(superposition,[],[f811,f70]) ).

fof(f1233,plain,
    ( identity = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1146,f459]) ).

fof(f1146,plain,
    ( identity = inverse(multiply(sk_c8,sk_c7))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f811,f399]) ).

fof(f1243,plain,
    ( identity = inverse(identity)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1156,f51]) ).

fof(f1156,plain,
    ( identity = inverse(multiply(sk_c8,sk_c3))
    | ~ spl0_2 ),
    inference(superposition,[],[f70,f811]) ).

fof(f1244,plain,
    ( identity = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1157,f459]) ).

fof(f1157,plain,
    ( identity = inverse(multiply(sk_c8,sk_c7))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f399,f811]) ).

fof(f1724,plain,
    ( identity = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1723,f2]) ).

fof(f1723,plain,
    ( inverse(identity) = multiply(inverse(sk_c8),sk_c8)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1683,f480]) ).

fof(f2290,plain,
    ( identity = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2289,f459]) ).

fof(f2289,plain,
    ( multiply(sk_c8,sk_c7) = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1725,f49]) ).

fof(f1725,plain,
    ( inverse(identity) = multiply(inverse(sk_c3),sk_c7)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1684,f723]) ).

fof(f1684,plain,
    ( inverse(identity) = multiply(inverse(sk_c3),inverse(inverse(sk_c7)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1358,f391]) ).

fof(f1731,plain,
    ( identity = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1686,f2]) ).

fof(f1686,plain,
    ( inverse(identity) = multiply(inverse(sk_c8),sk_c8)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1358,f412]) ).

fof(f2288,plain,
    ( identity = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2287,f459]) ).

fof(f2287,plain,
    ( multiply(sk_c8,sk_c7) = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1688,f49]) ).

fof(f1688,plain,
    ( inverse(identity) = multiply(inverse(sk_c3),sk_c7)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1358,f384]) ).

fof(f2150,plain,
    ( identity = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2149,f2]) ).

fof(f2149,plain,
    ( inverse(identity) = multiply(inverse(sk_c8),sk_c8)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2084,f480]) ).

fof(f2279,plain,
    ( identity = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2278,f459]) ).

fof(f2278,plain,
    ( multiply(sk_c8,sk_c7) = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2085,f49]) ).

fof(f2085,plain,
    ( inverse(identity) = multiply(inverse(sk_c3),sk_c7)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1601,f385]) ).

fof(f923,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c8 != sk_c7
        | identity != sk_c6
        | sk_c8 != inverse(X4)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X5)
        | identity != multiply(X4,sk_c8)
        | 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,[],[f922]) ).

fof(f954,plain,
    ( identity = sk_c7
    | sk_c7 = inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f953,f380]) ).

fof(f953,plain,
    ( sk_c7 = multiply(sk_c7,sk_c8)
    | sk_c7 = inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f35,f475]) ).

fof(f930,plain,
    ( identity = sk_c7
    | sk_c6 = multiply(sk_c2,sk_c7)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f929,f380]) ).

fof(f929,plain,
    ( sk_c7 = multiply(sk_c7,sk_c8)
    | sk_c6 = multiply(sk_c2,sk_c7)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f29,f387]) ).

fof(f922,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c8 != sk_c7
        | identity != sk_c6
        | sk_c7 != inverse(X4)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X5)
        | identity != multiply(X4,sk_c7)
        | 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,[],[f921,f412]) ).

fof(f480,plain,
    ( sk_c8 = inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f49,f475]) ).

fof(f475,plain,
    ( sk_c7 = sk_c3
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f470,f384]) ).

fof(f476,plain,
    ( sk_c7 = sk_c3
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f384,f470]) ).

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

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

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

fof(f251,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(sk_c8),X0)
    | ~ spl0_2 ),
    inference(superposition,[],[f67,f70]) ).

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

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(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(f2745,plain,
    ( sk_c8 = sk_c7
    | identity = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f2744,f412]) ).

fof(f2744,plain,
    ( sk_c7 = multiply(sk_c8,identity)
    | identity = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f933,f1060]) ).

fof(f3100,plain,
    ( sk_c8 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f430,f2839]) ).

fof(f2839,plain,
    ( identity = sk_c4
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f2825,f2]) ).

fof(f2825,plain,
    ( sk_c4 = multiply(inverse(identity),identity)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(superposition,[],[f244,f2818]) ).

fof(f2818,plain,
    ( identity = inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f430,f2773]) ).

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(f3271,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f3270,f2746]) ).

fof(f3270,plain,
    ( identity != inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f3269,f475]) ).

fof(f3269,plain,
    ( identity != inverse(sk_c3)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f3268,f1]) ).

fof(f3268,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(sk_c3)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f3215,f2746]) ).

fof(f3215,plain,
    ( identity != multiply(sk_c7,identity)
    | identity != inverse(sk_c3)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f909,f387]) ).

fof(f909,plain,
    ( ! [X4] :
        ( identity != multiply(X4,identity)
        | identity != inverse(X4) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f908]) ).

fof(f3267,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3266]) ).

fof(f3266,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f3265,f3101]) ).

fof(f3265,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f3264,f2773]) ).

fof(f3264,plain,
    ( identity != inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f3263,f480]) ).

fof(f3263,plain,
    ( identity != inverse(inverse(sk_c7))
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f3262,f2773]) ).

fof(f3262,plain,
    ( identity != sk_c8
    | identity != inverse(inverse(sk_c7))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f3214,f412]) ).

fof(f3214,plain,
    ( identity != multiply(sk_c8,identity)
    | identity != inverse(inverse(sk_c7))
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(superposition,[],[f909,f390]) ).

fof(f3261,plain,
    ~ spl0_5,
    inference(avatar_contradiction_clause,[],[f3260]) ).

fof(f3260,plain,
    ( $false
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f3259,f723]) ).

fof(f3259,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f3219,f723]) ).

fof(f3219,plain,
    ( identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_5 ),
    inference(trivial_inequality_removal,[],[f3213]) ).

fof(f3213,plain,
    ( identity != identity
    | identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_5 ),
    inference(superposition,[],[f909,f618]) ).

fof(f3251,plain,
    ~ spl0_5,
    inference(avatar_contradiction_clause,[],[f3250]) ).

fof(f3250,plain,
    ( $false
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f3220,f723]) ).

fof(f3220,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_5 ),
    inference(trivial_inequality_removal,[],[f3210]) ).

fof(f3210,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_5 ),
    inference(superposition,[],[f909,f243]) ).

fof(f3249,plain,
    ~ spl0_5,
    inference(avatar_contradiction_clause,[],[f3248]) ).

fof(f3248,plain,
    ( $false
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f3221,f723]) ).

fof(f3221,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_5 ),
    inference(trivial_inequality_removal,[],[f3209]) ).

fof(f3209,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_5 ),
    inference(superposition,[],[f909,f2]) ).

fof(f3247,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3246]) ).

fof(f3246,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f3222,f3101]) ).

fof(f3222,plain,
    ( identity != inverse(identity)
    | ~ spl0_5 ),
    inference(trivial_inequality_removal,[],[f3208]) ).

fof(f3208,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl0_5 ),
    inference(superposition,[],[f909,f1]) ).

fof(f3245,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3244]) ).

fof(f3244,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f3243,f3101]) ).

fof(f3243,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f3242,f2746]) ).

fof(f3242,plain,
    ( identity != inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f3207,f2774]) ).

fof(f2774,plain,
    ( identity = sk_c3
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f2764,f1]) ).

fof(f2764,plain,
    ( sk_c3 = multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_7 ),
    inference(superposition,[],[f384,f2746]) ).

fof(f3207,plain,
    ( identity != sk_c3
    | identity != inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f909,f384]) ).

fof(f3241,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3240]) ).

fof(f3240,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f3239,f3101]) ).

fof(f3239,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f3238,f2746]) ).

fof(f3238,plain,
    ( identity != inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f3206,f2746]) ).

fof(f3206,plain,
    ( identity != sk_c7
    | identity != inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(superposition,[],[f909,f470]) ).

fof(f3237,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3236]) ).

fof(f3236,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f3235,f3101]) ).

fof(f3235,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f3234,f2773]) ).

fof(f3234,plain,
    ( identity != inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f3205,f2773]) ).

fof(f3205,plain,
    ( identity != sk_c8
    | identity != inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f909,f412]) ).

fof(f3232,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3231]) ).

fof(f3231,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f3230,f3101]) ).

fof(f3230,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f3229,f2746]) ).

fof(f3229,plain,
    ( identity != inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f3228,f723]) ).

fof(f3228,plain,
    ( identity != inverse(inverse(inverse(sk_c7)))
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f3203,f2774]) ).

fof(f3203,plain,
    ( identity != sk_c3
    | identity != inverse(inverse(inverse(sk_c7)))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f909,f391]) ).

fof(f3227,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3226]) ).

fof(f3226,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f3225,f3101]) ).

fof(f3225,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f3224,f2773]) ).

fof(f3224,plain,
    ( identity != inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f3223,f480]) ).

fof(f3223,plain,
    ( identity != inverse(inverse(sk_c7))
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f3202,f2773]) ).

fof(f3202,plain,
    ( identity != sk_c8
    | identity != inverse(inverse(sk_c7))
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(superposition,[],[f909,f381]) ).

fof(f3194,plain,
    ~ spl0_6,
    inference(avatar_contradiction_clause,[],[f3193]) ).

fof(f3193,plain,
    ( $false
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f3184,f723]) ).

fof(f3184,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_6 ),
    inference(trivial_inequality_removal,[],[f3181]) ).

fof(f3181,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_6 ),
    inference(superposition,[],[f912,f702]) ).

fof(f912,plain,
    ( ! [X7] :
        ( identity != multiply(identity,X7)
        | identity != inverse(X7) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f911]) ).

fof(f3192,plain,
    ~ spl0_6,
    inference(avatar_contradiction_clause,[],[f3191]) ).

fof(f3191,plain,
    ( $false
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f3190,f723]) ).

fof(f3190,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f3185,f1265]) ).

fof(f3185,plain,
    ( ! [X0] : identity != inverse(multiply(X0,inverse(multiply(identity,X0))))
    | ~ spl0_6 ),
    inference(trivial_inequality_removal,[],[f3180]) ).

fof(f3180,plain,
    ( ! [X0] :
        ( identity != identity
        | identity != inverse(multiply(X0,inverse(multiply(identity,X0)))) )
    | ~ spl0_6 ),
    inference(superposition,[],[f912,f811]) ).

fof(f3188,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3187]) ).

fof(f3187,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f3186,f3101]) ).

fof(f3186,plain,
    ( identity != inverse(identity)
    | ~ spl0_6 ),
    inference(trivial_inequality_removal,[],[f3178]) ).

fof(f3178,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl0_6 ),
    inference(superposition,[],[f912,f704]) ).

fof(f3029,plain,
    ( ~ spl0_1
    | spl0_3
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3028]) ).

fof(f3028,plain,
    ( $false
    | ~ spl0_1
    | spl0_3
    | spl0_7 ),
    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,f463,f464,f459,f473,f470,f244,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f920,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f1674,f2346,f1111,f27,f15,f2319,f1309,f1302,f1292,f2071,f2061,f2036,f1962,f1874,f1861,f1848,f1841,f1691,f1594,f1311,f1766,f1415,f1567,f1559,f2336,f1134,f1132,f14,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f13,f1564,f1504,f20,f1431,f19,f1411,f2315,f2303,f2291,f2280,f2145,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f1442,f1321,f1247,f1246,f1236,f1235,f925,f924,f812,f806,f39,f37,f38,f737,f736,f726,f725,f677,f674,f2756,f2755,f2743,f2742,f2741,f2740,f1732,f1245,f1234,f425,f931,f32,f31,f33,f956,f25,f26,f2372,f2366,f934,f1059]) ).

fof(f3027,plain,
    ( ~ spl0_1
    | spl0_3
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3026]) ).

fof(f3026,plain,
    ( $false
    | ~ spl0_1
    | spl0_3
    | spl0_7 ),
    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,f463,f464,f459,f473,f470,f244,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f920,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f1059,f1674,f2346,f1111,f27,f15,f2319,f1309,f1302,f1292,f2071,f2061,f2036,f1962,f1874,f1861,f1848,f1841,f1691,f1594,f1311,f1766,f1415,f1567,f1559,f2336,f1134,f1132,f14,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f13,f1564,f1504,f20,f1431,f19,f1411,f2315,f2303,f2291,f2280,f2145,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f1442,f1321,f1247,f1246,f1236,f1235,f925,f924,f812,f806,f39,f37,f38,f737,f736,f726,f725,f677,f674,f2756,f2755,f2743,f2742,f2741,f2740,f1732,f1245,f1234,f425,f931,f32,f31,f33,f956,f25,f26,f2372,f2366,f934]) ).

fof(f3025,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3024]) ).

fof(f3024,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_7 ),
    inference(global_subsumption,[],[f923,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,f463,f464,f459,f473,f470,f244,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f920,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f1059,f934,f1674,f2346,f1111,f27,f15,f2319,f1309,f1302,f1292,f2071,f2061,f2036,f1962,f1874,f1861,f1848,f1841,f1691,f1594,f1311,f1766,f1415,f1567,f1559,f2336,f1134,f1132,f14,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f13,f1564,f1504,f20,f1431,f19,f1411,f2315,f2303,f2291,f2280,f2145,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f1442,f1321,f1247,f1246,f1236,f1235,f925,f924,f812,f806,f39,f37,f38,f737,f736,f726,f725,f677,f674,f2756,f2755,f2743,f2742,f2741,f2740,f1732,f1245,f1234,f425,f931,f32,f31,f33,f956,f25,f26,f2372,f2366]) ).

fof(f3023,plain,
    ( ~ spl0_1
    | spl0_3
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3022]) ).

fof(f3022,plain,
    ( $false
    | ~ spl0_1
    | spl0_3
    | spl0_7 ),
    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,f463,f464,f459,f473,f470,f244,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f920,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f1059,f934,f1674,f2346,f1111,f27,f15,f2319,f1309,f1302,f1292,f2071,f2061,f2036,f1962,f1874,f1861,f1848,f1841,f1691,f1594,f1311,f1766,f1415,f1567,f1559,f2336,f1134,f1132,f14,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f13,f1564,f1504,f20,f1431,f19,f1411,f2315,f2303,f2291,f2280,f2145,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f1442,f1321,f1247,f1246,f1236,f1235,f925,f924,f812,f806,f39,f37,f38,f737,f736,f726,f725,f677,f674,f2756,f2755,f2743,f2742,f2741,f2740,f1732,f1245,f1234,f425,f931,f32,f31,f33,f956,f25,f26,f2372,f2366]) ).

fof(f3021,plain,
    ( ~ spl0_1
    | spl0_3
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3020]) ).

fof(f3020,plain,
    ( $false
    | ~ spl0_1
    | spl0_3
    | spl0_7 ),
    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,f463,f464,f459,f473,f470,f244,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f920,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f1059,f934,f1674,f2346,f1111,f27,f15,f2366,f2319,f1309,f1302,f1292,f2071,f2061,f2036,f1962,f1874,f1861,f1848,f1841,f1691,f1594,f1311,f1766,f1415,f1567,f1559,f2336,f1134,f1132,f14,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f13,f1564,f1504,f20,f1431,f19,f1411,f2315,f2303,f2291,f2280,f2145,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f1442,f1321,f1247,f1246,f1236,f1235,f925,f924,f812,f806,f39,f37,f38,f737,f736,f726,f725,f677,f674,f2756,f2755,f2743,f2742,f2741,f2740,f1732,f1245,f1234,f425,f931,f32,f31,f33,f956,f25,f26,f2372]) ).

fof(f3019,plain,
    ( ~ spl0_1
    | spl0_3
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3018]) ).

fof(f3018,plain,
    ( $false
    | ~ spl0_1
    | spl0_3
    | spl0_7 ),
    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,f463,f464,f459,f473,f470,f244,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f920,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f1059,f934,f1674,f2346,f1111,f27,f15,f2366,f2372,f2319,f1309,f1302,f1292,f2071,f2061,f2036,f1962,f1874,f1861,f1848,f1841,f1691,f1594,f1311,f1766,f1415,f1567,f1559,f2336,f1134,f1132,f14,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f13,f1564,f1504,f20,f1431,f19,f1411,f2315,f2303,f2291,f2280,f2145,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f1442,f1321,f1247,f1246,f1236,f1235,f925,f924,f812,f806,f39,f37,f38,f737,f736,f726,f725,f677,f674,f2756,f2755,f2743,f2742,f2741,f2740,f1732,f1245,f1234,f425,f931,f32,f31,f33,f956,f25,f26]) ).

fof(f3017,plain,
    ( ~ spl0_1
    | spl0_3
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3016]) ).

fof(f3016,plain,
    ( $false
    | ~ spl0_1
    | spl0_3
    | spl0_7 ),
    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,f463,f464,f459,f473,f470,f244,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f920,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f1059,f934,f1674,f2346,f1111,f26,f27,f15,f2366,f2372,f2319,f1309,f1302,f1292,f2071,f2061,f2036,f1962,f1874,f1861,f1848,f1841,f1691,f1594,f1311,f1766,f1415,f1567,f1559,f2336,f1134,f1132,f14,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f13,f1564,f1504,f20,f1431,f19,f1411,f2315,f2303,f2291,f2280,f2145,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f1442,f1321,f1247,f1246,f1236,f1235,f925,f924,f812,f806,f39,f37,f38,f737,f736,f726,f725,f677,f674,f2756,f2755,f2743,f2742,f2741,f2740,f1732,f1245,f1234,f425,f931,f32,f31,f33,f956,f25]) ).

fof(f3015,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3014]) ).

fof(f3014,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_7 ),
    inference(global_subsumption,[],[f933,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,f463,f464,f459,f473,f470,f244,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f920,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f1059,f25,f934,f1674,f2346,f1111,f26,f27,f15,f2366,f2372,f2319,f1309,f1302,f1292,f2071,f2061,f2036,f1962,f1874,f1861,f1848,f1841,f1691,f1594,f1311,f1766,f1415,f1567,f1559,f2336,f1134,f1132,f14,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f13,f1564,f1504,f20,f1431,f19,f1411,f2315,f2303,f2291,f2280,f2145,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f1442,f1321,f1247,f1246,f1236,f1235,f925,f924,f812,f806,f39,f37,f38,f737,f736,f726,f725,f677,f674,f2756,f2755,f2743,f2742,f2741,f2740,f1732,f1245,f1234,f425,f931,f32,f31,f33,f956]) ).

fof(f3013,plain,
    ( ~ spl0_1
    | spl0_3
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3012]) ).

fof(f3012,plain,
    ( $false
    | ~ spl0_1
    | spl0_3
    | spl0_7 ),
    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,f463,f464,f459,f473,f470,f244,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f920,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f1059,f25,f934,f1674,f2346,f1111,f26,f27,f15,f2366,f2372,f2319,f1309,f1302,f1292,f2071,f2061,f2036,f1962,f1874,f1861,f1848,f1841,f1691,f1594,f1311,f1766,f1415,f1567,f1559,f2336,f1134,f1132,f14,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f13,f1564,f1504,f20,f1431,f19,f1411,f2315,f2303,f2291,f2280,f2145,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f1442,f1321,f1247,f1246,f1236,f1235,f925,f924,f812,f806,f39,f37,f38,f737,f736,f726,f725,f677,f674,f2756,f2755,f2743,f2742,f2741,f2740,f1732,f1245,f1234,f425,f931,f32,f31,f33,f956]) ).

fof(f3011,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3010]) ).

fof(f3010,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_7 ),
    inference(global_subsumption,[],[f930,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,f463,f464,f459,f473,f470,f244,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f920,f956,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f1059,f25,f934,f1674,f2346,f1111,f26,f27,f15,f2366,f2372,f2319,f1309,f1302,f1292,f2071,f2061,f2036,f1962,f1874,f1861,f1848,f1841,f1691,f1594,f1311,f1766,f1415,f1567,f1559,f2336,f1134,f1132,f14,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f13,f1564,f1504,f20,f1431,f19,f1411,f2315,f2303,f2291,f2280,f2145,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f1442,f1321,f1247,f1246,f1236,f1235,f925,f924,f812,f806,f39,f37,f38,f737,f736,f726,f725,f677,f674,f2756,f2755,f2743,f2742,f2741,f2740,f1732,f1245,f1234,f425,f931,f32,f31,f33]) ).

fof(f3009,plain,
    ( ~ spl0_1
    | spl0_3
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3008]) ).

fof(f3008,plain,
    ( $false
    | ~ spl0_1
    | spl0_3
    | spl0_7 ),
    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,f463,f464,f459,f473,f470,f244,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f920,f956,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f1059,f25,f934,f1674,f2346,f1111,f26,f27,f15,f2366,f2372,f2319,f1309,f1302,f1292,f2071,f2061,f2036,f1962,f1874,f1861,f1848,f1841,f1691,f1594,f1311,f1766,f1415,f1567,f1559,f2336,f1134,f1132,f14,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f13,f1564,f1504,f20,f1431,f19,f1411,f2315,f2303,f2291,f2280,f2145,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f1442,f1321,f1247,f1246,f1236,f1235,f925,f924,f812,f806,f39,f37,f38,f737,f736,f726,f725,f677,f674,f2756,f2755,f2743,f2742,f2741,f2740,f1732,f1245,f1234,f425,f931,f32,f31,f33]) ).

fof(f3007,plain,
    ( ~ spl0_1
    | spl0_3
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3006]) ).

fof(f3006,plain,
    ( $false
    | ~ spl0_1
    | spl0_3
    | spl0_7 ),
    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,f463,f464,f459,f473,f470,f244,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f920,f956,f33,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f1059,f25,f934,f1674,f2346,f1111,f26,f27,f15,f2366,f2372,f2319,f1309,f1302,f1292,f2071,f2061,f2036,f1962,f1874,f1861,f1848,f1841,f1691,f1594,f1311,f1766,f1415,f1567,f1559,f2336,f1134,f1132,f14,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f13,f1564,f1504,f20,f1431,f19,f1411,f2315,f2303,f2291,f2280,f2145,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f1442,f1321,f1247,f1246,f1236,f1235,f925,f924,f812,f806,f39,f37,f38,f737,f736,f726,f725,f677,f674,f2756,f2755,f2743,f2742,f2741,f2740,f1732,f1245,f1234,f425,f931,f32,f31]) ).

fof(f3005,plain,
    ( ~ spl0_1
    | spl0_3
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3004]) ).

fof(f3004,plain,
    ( $false
    | ~ spl0_1
    | spl0_3
    | spl0_7 ),
    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,f463,f464,f459,f473,f470,f244,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f920,f31,f956,f33,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f1059,f25,f934,f1674,f2346,f1111,f26,f27,f15,f2366,f2372,f2319,f1309,f1302,f1292,f2071,f2061,f2036,f1962,f1874,f1861,f1848,f1841,f1691,f1594,f1311,f1766,f1415,f1567,f1559,f2336,f1134,f1132,f14,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f13,f1564,f1504,f20,f1431,f19,f1411,f2315,f2303,f2291,f2280,f2145,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f1442,f1321,f1247,f1246,f1236,f1235,f925,f924,f812,f806,f39,f37,f38,f737,f736,f726,f725,f677,f674,f2756,f2755,f2743,f2742,f2741,f2740,f1732,f1245,f1234,f425,f931,f32]) ).

fof(f3003,plain,
    ( ~ spl0_1
    | spl0_3
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3002]) ).

fof(f3002,plain,
    ( $false
    | ~ spl0_1
    | spl0_3
    | spl0_7 ),
    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,f463,f464,f459,f473,f470,f244,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f920,f32,f31,f956,f33,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f1059,f25,f934,f1674,f2346,f1111,f26,f27,f15,f2366,f2372,f2319,f1309,f1302,f1292,f2071,f2061,f2036,f1962,f1874,f1861,f1848,f1841,f1691,f1594,f1311,f1766,f1415,f1567,f1559,f2336,f1134,f1132,f14,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f13,f1564,f1504,f20,f1431,f19,f1411,f2315,f2303,f2291,f2280,f2145,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f1442,f1321,f1247,f1246,f1236,f1235,f925,f924,f812,f806,f39,f37,f38,f737,f736,f726,f725,f677,f674,f2756,f2755,f2743,f2742,f2741,f2740,f1732,f1245,f1234,f425,f931]) ).

fof(f3001,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3000]) ).

fof(f3000,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_7 ),
    inference(global_subsumption,[],[f2747,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,f463,f464,f459,f473,f470,f244,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f920,f32,f31,f931,f956,f33,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f1059,f25,f934,f1674,f2346,f1111,f26,f27,f15,f2366,f2372,f2319,f1309,f1302,f1292,f2071,f2061,f2036,f1962,f1874,f1861,f1848,f1841,f1691,f1594,f1311,f1766,f1415,f1567,f1559,f2336,f1134,f1132,f14,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f13,f1564,f1504,f20,f1431,f19,f1411,f2315,f2303,f2291,f2280,f2145,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f1442,f1321,f1247,f1246,f1236,f1235,f925,f924,f812,f806,f39,f37,f38,f737,f736,f726,f725,f677,f674,f2756,f2755,f2743,f2742,f2741,f2740,f1732,f1245,f1234,f425]) ).

fof(f2747,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3 ),
    inference(global_subsumption,[],[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,f463,f464,f459,f473,f470,f476,f475,f480,f244,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f920,f922,f32,f31,f930,f931,f38,f37,f954,f956,f33,f39,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f25,f934,f923,f1674,f2346,f1111,f26,f27,f933,f15,f2366,f628,f2372,f2319,f1309,f1302,f1292,f2062,f1963,f1849,f1842,f2286,f2283,f2282,f2118,f2071,f2061,f2036,f2011,f1962,f1874,f1861,f1848,f1841,f1691,f1690,f2310,f1659,f1595,f1594,f1312,f1311,f1767,f1560,f2285,f1766,f1459,f1415,f1414,f2302,f1567,f1559,f2336,f2335,f1218,f1134,f1132,f14,f2740,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f13,f2741,f1564,f1535,f1505,f1504,f1432,f2304,f20,f2742,f1431,f19,f2743,f2309,f2308,f2305,f1411,f1410,f2318,f2317,f2315,f2314,f2312,f2297,f2296,f2303,f2291,f2280,f2145,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f1442,f1321,f1247,f1246,f1236,f1235,f925,f924,f812,f806,f737,f736,f726,f725,f677,f674,f2290,f2288,f2279,f2150,f1732,f1731,f1724,f1245,f1244,f1243,f1234,f1233,f1232,f425,f2370]) ).

fof(f2999,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f2998]) ).

fof(f2998,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_7 ),
    inference(global_subsumption,[],[f2748,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,f463,f464,f459,f473,f470,f244,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f920,f32,f31,f931,f956,f33,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f1059,f25,f934,f1674,f2346,f1111,f26,f27,f15,f2366,f2372,f2319,f1309,f1302,f1292,f2071,f2061,f2036,f1962,f1874,f1861,f1848,f1841,f1691,f1594,f1311,f1766,f1415,f1567,f1559,f2336,f1134,f1132,f14,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f13,f1564,f1504,f20,f1431,f19,f1411,f2315,f2303,f2291,f2280,f2145,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f1442,f1321,f1247,f1246,f1236,f1235,f925,f924,f812,f806,f39,f37,f38,f737,f736,f726,f725,f677,f674,f2756,f2755,f2743,f2742,f2741,f2740,f1732,f1245,f1234,f425]) ).

fof(f2748,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3 ),
    inference(global_subsumption,[],[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,f463,f464,f459,f473,f470,f476,f475,f480,f244,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f920,f922,f32,f31,f930,f931,f38,f37,f954,f956,f33,f39,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f25,f934,f923,f1674,f2346,f1111,f26,f27,f933,f15,f2366,f2372,f2319,f1309,f1302,f1292,f2062,f1963,f1849,f1842,f2286,f2283,f2282,f2118,f2071,f2061,f2036,f2011,f1962,f1874,f1861,f1848,f1841,f1691,f1690,f2310,f1659,f1595,f1594,f1312,f1311,f1767,f1560,f2285,f1766,f1459,f1415,f1414,f2302,f1567,f1559,f2336,f2335,f1218,f1134,f1132,f14,f2740,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f13,f2741,f1564,f1535,f1505,f1504,f1432,f2304,f20,f2742,f1431,f19,f2743,f2309,f2308,f2305,f1411,f1410,f2318,f2317,f2315,f2314,f2312,f2297,f2296,f2303,f2291,f2280,f2145,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f1442,f1321,f1247,f1246,f1236,f1235,f925,f924,f812,f806,f737,f736,f726,f725,f677,f674,f2290,f2288,f2279,f2150,f1732,f1731,f1724,f1245,f1244,f1243,f1234,f1233,f1232,f425,f2370,f2747,f628]) ).

fof(f2997,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f2996]) ).

fof(f2996,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_7 ),
    inference(global_subsumption,[],[f2749,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,f463,f464,f459,f473,f470,f244,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f920,f32,f31,f931,f956,f33,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f1059,f25,f934,f1674,f2346,f1111,f26,f27,f15,f2366,f2372,f2319,f1309,f1302,f1292,f2071,f2061,f2036,f1962,f1874,f1861,f1848,f1841,f1691,f1594,f1311,f1766,f1415,f1567,f1559,f2336,f1134,f1132,f14,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f13,f1564,f1504,f20,f1431,f19,f1411,f2315,f2303,f2291,f2280,f2145,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f1442,f1321,f1247,f1246,f1236,f1235,f925,f924,f812,f806,f39,f37,f38,f737,f736,f726,f725,f677,f674,f2756,f2755,f2743,f2742,f2741,f2740,f1732,f1245,f1234,f425]) ).

fof(f2749,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3 ),
    inference(global_subsumption,[],[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,f463,f464,f459,f473,f470,f476,f475,f480,f244,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f920,f922,f32,f31,f930,f931,f38,f37,f956,f33,f39,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f25,f934,f923,f1674,f2346,f1111,f26,f27,f933,f15,f2366,f2372,f2319,f1309,f1302,f1292,f2062,f1963,f1849,f1842,f2286,f2283,f2282,f2118,f2071,f2061,f2036,f2011,f1962,f1874,f1861,f1848,f1841,f1691,f1690,f2310,f1659,f1595,f1594,f1312,f1311,f1767,f1560,f2285,f1766,f1459,f1415,f1414,f2302,f1567,f1559,f2336,f2335,f1218,f1134,f1132,f14,f2740,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f13,f2741,f1564,f1535,f1505,f1504,f1432,f2304,f20,f2742,f1431,f19,f2743,f2309,f2308,f2305,f1411,f1410,f2318,f2317,f2315,f2314,f2312,f2297,f2296,f2303,f2291,f2280,f2145,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f1442,f1321,f1247,f1246,f1236,f1235,f925,f924,f812,f806,f737,f736,f726,f725,f677,f674,f2290,f2288,f2279,f2150,f1732,f1731,f1724,f1245,f1244,f1243,f1234,f1233,f1232,f425,f2370,f2747,f628,f2748,f954]) ).

fof(f2995,plain,
    ( ~ spl0_1
    | spl0_3
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f2994]) ).

fof(f2994,plain,
    ( $false
    | ~ spl0_1
    | spl0_3
    | spl0_7 ),
    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,f463,f464,f459,f473,f470,f244,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f920,f32,f31,f931,f956,f33,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f1059,f25,f934,f1674,f2346,f1111,f26,f27,f15,f2366,f2372,f2319,f1309,f1302,f1292,f2071,f2061,f2036,f1962,f1874,f1861,f1848,f1841,f1691,f1594,f1311,f1766,f1415,f1567,f1559,f2336,f1134,f1132,f14,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f13,f1564,f1504,f20,f1431,f19,f1411,f2315,f2303,f2291,f2280,f2145,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f1442,f1321,f1247,f1246,f1236,f1235,f925,f924,f812,f806,f39,f37,f38,f737,f736,f726,f725,f677,f674,f2756,f2755,f2743,f2742,f2741,f2740,f1732,f1245,f1234,f425]) ).

fof(f2993,plain,
    ( ~ spl0_1
    | spl0_3
    | ~ spl0_4
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f2992]) ).

fof(f2992,plain,
    ( $false
    | ~ spl0_1
    | spl0_3
    | ~ spl0_4
    | spl0_7 ),
    inference(global_subsumption,[],[f430,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,f463,f464,f459,f473,f470,f244,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f920,f32,f31,f931,f956,f33,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f1059,f25,f934,f1674,f2346,f1111,f26,f27,f15,f2366,f2372,f2319,f1309,f1302,f1292,f2071,f2061,f2036,f1962,f1874,f1861,f1848,f1841,f1691,f1594,f1311,f1766,f1415,f1567,f1559,f2336,f1134,f1132,f14,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f13,f1564,f1504,f20,f1431,f19,f1411,f2315,f2303,f2291,f2280,f2145,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f1442,f1321,f1247,f1246,f1236,f1235,f925,f924,f812,f806,f425,f39,f37,f38,f737,f736,f726,f725,f677,f674,f2756,f2755,f2743,f2742,f2741,f2740,f1732,f1245,f1234]) ).

fof(f2991,plain,
    ( ~ spl0_1
    | spl0_3
    | ~ spl0_4
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f2990]) ).

fof(f2990,plain,
    ( $false
    | ~ spl0_1
    | spl0_3
    | ~ spl0_4
    | spl0_7 ),
    inference(global_subsumption,[],[f2356,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,f463,f464,f459,f473,f470,f244,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f920,f32,f31,f931,f956,f33,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f1059,f25,f934,f1674,f2346,f1111,f26,f27,f15,f2366,f2372,f2319,f1309,f1302,f1292,f2071,f2061,f2036,f1962,f1874,f1861,f1848,f1841,f1691,f1594,f1311,f1766,f1415,f1567,f1559,f2336,f1134,f1132,f14,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f13,f1564,f1504,f20,f1431,f19,f1411,f2315,f2303,f2291,f2280,f2145,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f1442,f1321,f1247,f1246,f1236,f1235,f925,f924,f812,f806,f425,f39,f37,f38,f737,f736,f726,f725,f677,f674,f2756,f2755,f2743,f2742,f2741,f2740,f1732,f1245,f1234]) ).

fof(f2356,plain,
    ( sk_c8 = inverse(sk_c4)
    | ~ spl0_4 ),
    inference(global_subsumption,[],[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,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f812,f806,f924,f737,f736,f925,f726,f725,f677,f674,f32,f31,f38,f37,f33,f39,f430,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f25,f2145,f2280,f2130,f2066,f2035,f2027,f2281,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f2284,f1730,f2291,f1674,f2298,f2300,f2301,f1564,f1527,f1521,f2303,f2306,f1406,f1442,f1309,f1302,f1292,f2319,f2324,f2325,f1321,f1247,f1246,f1236,f1235,f2346,f1111,f26,f27]) ).

fof(f2989,plain,
    ( ~ spl0_1
    | spl0_3
    | ~ spl0_4
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f2988]) ).

fof(f2988,plain,
    ( $false
    | ~ spl0_1
    | spl0_3
    | ~ spl0_4
    | spl0_7 ),
    inference(global_subsumption,[],[f2363,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,f463,f464,f459,f473,f470,f244,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f920,f32,f31,f931,f956,f33,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f1059,f25,f934,f1674,f2346,f1111,f26,f27,f15,f2366,f2372,f2319,f1309,f1302,f1292,f2071,f2061,f2036,f1962,f1874,f1861,f1848,f1841,f1691,f1594,f1311,f1766,f1415,f1567,f1559,f2336,f1134,f1132,f14,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f13,f1564,f1504,f20,f1431,f19,f1411,f2315,f2303,f2291,f2280,f2145,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f1442,f1321,f1247,f1246,f1236,f1235,f925,f924,f812,f806,f425,f39,f37,f38,f737,f736,f726,f725,f677,f674,f2756,f2755,f2743,f2742,f2741,f2740,f1732,f1245,f1234]) ).

fof(f2363,plain,
    ( sk_c8 = inverse(sk_c4)
    | ~ spl0_4 ),
    inference(global_subsumption,[],[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,f8,f7,f5,f4,f9,f243,f420,f21,f244,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f32,f31,f38,f37,f33,f39,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f25,f2145,f2280,f2130,f2066,f2035,f2027,f2281,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f2284,f1730,f2291,f1674,f2298,f2300,f2301,f1564,f1527,f1521,f2303,f2306,f1406,f1442,f1309,f1302,f1292,f2319,f2324,f2325,f1321,f1247,f1246,f1236,f1235,f2346,f1111,f26,f27,f2356,f925,f924,f812,f806,f737,f736,f726,f725,f677,f674,f430,f15]) ).

fof(f2987,plain,
    ( ~ spl0_1
    | spl0_3
    | ~ spl0_4
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f2986]) ).

fof(f2986,plain,
    ( $false
    | ~ spl0_1
    | spl0_3
    | ~ spl0_4
    | spl0_7 ),
    inference(global_subsumption,[],[f2750,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,f463,f464,f459,f473,f470,f244,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f920,f32,f31,f931,f956,f33,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f1059,f25,f934,f1674,f2346,f1111,f26,f27,f15,f2366,f2372,f2319,f1309,f1302,f1292,f2071,f2061,f2036,f1962,f1874,f1861,f1848,f1841,f1691,f1594,f1311,f1766,f1415,f1567,f1559,f2336,f1134,f1132,f14,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f13,f1564,f1504,f20,f1431,f19,f1411,f2315,f2303,f2291,f2280,f2145,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f1442,f1321,f1247,f1246,f1236,f1235,f925,f924,f812,f806,f425,f39,f37,f38,f737,f736,f726,f725,f677,f674,f2756,f2755,f2743,f2742,f2741,f2740,f1732,f1245,f1234]) ).

fof(f2750,plain,
    ( sk_c8 = inverse(sk_c4)
    | ~ spl0_4 ),
    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,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f32,f31,f38,f37,f33,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f25,f1674,f2346,f1111,f26,f27,f15,f2319,f1309,f1302,f1292,f14,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f13,f1564,f20,f19,f2303,f2291,f2280,f2145,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f1442,f1321,f1247,f1246,f1236,f1235,f925,f924,f812,f806,f737,f736,f726,f725,f677,f674,f2363,f2356,f430,f39]) ).

fof(f2985,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f2984]) ).

fof(f2984,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_7 ),
    inference(global_subsumption,[],[f1232,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,f463,f464,f459,f473,f470,f244,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f920,f32,f31,f931,f956,f33,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f1059,f25,f934,f1674,f2346,f1111,f26,f27,f15,f2366,f2372,f2319,f1309,f1302,f1292,f2071,f2061,f2036,f1962,f1874,f1861,f1848,f1841,f1691,f1594,f1311,f1766,f1415,f1567,f1559,f2336,f1134,f1132,f14,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f13,f1564,f1504,f20,f1431,f19,f1411,f2315,f2303,f2291,f2280,f2145,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f1442,f1321,f1247,f1246,f1236,f1235,f925,f924,f812,f806,f425,f39,f37,f38,f737,f736,f726,f725,f677,f674,f2756,f2755,f2743,f2742,f2741,f2740,f1732,f1245,f1234]) ).

fof(f2983,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f2982]) ).

fof(f2982,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_7 ),
    inference(global_subsumption,[],[f1233,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,f463,f464,f459,f473,f470,f244,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f920,f32,f31,f931,f956,f33,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f1059,f25,f934,f1674,f2346,f1111,f26,f27,f15,f2366,f2372,f2319,f1309,f1302,f1292,f2071,f2061,f2036,f1962,f1874,f1861,f1848,f1841,f1691,f1594,f1311,f1766,f1415,f1567,f1559,f2336,f1134,f1132,f14,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f13,f1564,f1504,f20,f1431,f19,f1411,f2315,f2303,f2291,f2280,f2145,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f1442,f1321,f1247,f1246,f1236,f1235,f925,f924,f812,f806,f425,f39,f37,f38,f737,f736,f726,f725,f677,f674,f2756,f2755,f2743,f2742,f2741,f2740,f1732,f1245,f1234]) ).

fof(f2981,plain,
    ( ~ spl0_1
    | spl0_3
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f2980]) ).

fof(f2980,plain,
    ( $false
    | ~ spl0_1
    | spl0_3
    | spl0_7 ),
    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,f463,f464,f459,f473,f470,f244,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f920,f32,f31,f931,f956,f33,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f1059,f25,f934,f1674,f2346,f1111,f26,f27,f15,f2366,f2372,f2319,f1309,f1302,f1292,f2071,f2061,f2036,f1962,f1874,f1861,f1848,f1841,f1691,f1594,f1311,f1766,f1415,f1567,f1559,f2336,f1134,f1132,f14,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f13,f1564,f1504,f20,f1431,f19,f1411,f2315,f2303,f2291,f2280,f2145,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f1442,f1321,f1247,f1246,f1236,f1235,f925,f924,f812,f806,f425,f39,f37,f38,f737,f736,f726,f725,f677,f674,f2756,f2755,f2743,f2742,f2741,f2740,f1732,f1245,f1234]) ).

fof(f2979,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f2978]) ).

fof(f2978,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_7 ),
    inference(global_subsumption,[],[f1243,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,f463,f464,f459,f473,f470,f244,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f920,f32,f31,f931,f956,f33,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f1059,f25,f934,f1674,f2346,f1111,f26,f27,f15,f2366,f2372,f2319,f1309,f1302,f1292,f2071,f2061,f2036,f1962,f1874,f1861,f1848,f1841,f1691,f1594,f1311,f1766,f1415,f1567,f1559,f2336,f1134,f1132,f14,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f13,f1564,f1504,f20,f1431,f19,f1411,f2315,f2303,f2291,f2280,f2145,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f1442,f1321,f1247,f1246,f1236,f1235,f925,f924,f812,f806,f1234,f425,f39,f37,f38,f737,f736,f726,f725,f677,f674,f2756,f2755,f2743,f2742,f2741,f2740,f1732,f1245]) ).

fof(f2977,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f2976]) ).

fof(f2976,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_7 ),
    inference(global_subsumption,[],[f1244,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,f463,f464,f459,f473,f470,f244,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f920,f32,f31,f931,f956,f33,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f1059,f25,f934,f1674,f2346,f1111,f26,f27,f15,f2366,f2372,f2319,f1309,f1302,f1292,f2071,f2061,f2036,f1962,f1874,f1861,f1848,f1841,f1691,f1594,f1311,f1766,f1415,f1567,f1559,f2336,f1134,f1132,f14,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f13,f1564,f1504,f20,f1431,f19,f1411,f2315,f2303,f2291,f2280,f2145,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f1442,f1321,f1247,f1246,f1236,f1235,f925,f924,f812,f806,f1234,f425,f39,f37,f38,f737,f736,f726,f725,f677,f674,f2756,f2755,f2743,f2742,f2741,f2740,f1732,f1245]) ).

fof(f2975,plain,
    ( ~ spl0_1
    | spl0_3
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f2974]) ).

fof(f2974,plain,
    ( $false
    | ~ spl0_1
    | spl0_3
    | spl0_7 ),
    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,f463,f464,f459,f473,f470,f244,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f920,f32,f31,f931,f956,f33,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f1059,f25,f934,f1674,f2346,f1111,f26,f27,f15,f2366,f2372,f2319,f1309,f1302,f1292,f2071,f2061,f2036,f1962,f1874,f1861,f1848,f1841,f1691,f1594,f1311,f1766,f1415,f1567,f1559,f2336,f1134,f1132,f14,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f13,f1564,f1504,f20,f1431,f19,f1411,f2315,f2303,f2291,f2280,f2145,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f1442,f1321,f1247,f1246,f1236,f1235,f925,f924,f812,f806,f1234,f425,f39,f37,f38,f737,f736,f726,f725,f677,f674,f2756,f2755,f2743,f2742,f2741,f2740,f1732,f1245]) ).

fof(f2973,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f2972]) ).

fof(f2972,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_7 ),
    inference(global_subsumption,[],[f1724,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,f463,f464,f459,f473,f470,f244,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f920,f32,f31,f931,f956,f33,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f1059,f25,f934,f1674,f2346,f1111,f26,f27,f15,f2366,f2372,f2319,f1309,f1302,f1292,f2071,f2061,f2036,f1962,f1874,f1861,f1848,f1841,f1691,f1594,f1311,f1766,f1415,f1567,f1559,f2336,f1134,f1132,f14,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f13,f1564,f1504,f20,f1431,f19,f1411,f2315,f2303,f2291,f2280,f2145,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f1442,f1321,f1247,f1246,f1236,f1235,f925,f924,f812,f806,f1245,f1234,f425,f39,f37,f38,f737,f736,f726,f725,f677,f674,f2756,f2755,f2743,f2742,f2741,f2740,f1732]) ).

fof(f2971,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f2970]) ).

fof(f2970,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_7 ),
    inference(global_subsumption,[],[f1731,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,f463,f464,f459,f473,f470,f244,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f920,f32,f31,f931,f956,f33,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f1059,f25,f934,f1674,f2346,f1111,f26,f27,f15,f2366,f2372,f2319,f1309,f1302,f1292,f2071,f2061,f2036,f1962,f1874,f1861,f1848,f1841,f1691,f1594,f1311,f1766,f1415,f1567,f1559,f2336,f1134,f1132,f14,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f13,f1564,f1504,f20,f1431,f19,f1411,f2315,f2303,f2291,f2280,f2145,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f1442,f1321,f1247,f1246,f1236,f1235,f925,f924,f812,f806,f1245,f1234,f425,f39,f37,f38,f737,f736,f726,f725,f677,f674,f2756,f2755,f2743,f2742,f2741,f2740,f1732]) ).

fof(f2969,plain,
    ( ~ spl0_1
    | spl0_3
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f2968]) ).

fof(f2968,plain,
    ( $false
    | ~ spl0_1
    | spl0_3
    | spl0_7 ),
    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,f463,f464,f459,f473,f470,f244,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f920,f32,f31,f931,f956,f33,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f1059,f25,f934,f1674,f2346,f1111,f26,f27,f15,f2366,f2372,f2319,f1309,f1302,f1292,f2071,f2061,f2036,f1962,f1874,f1861,f1848,f1841,f1691,f1594,f1311,f1766,f1415,f1567,f1559,f2336,f1134,f1132,f14,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f13,f1564,f1504,f20,f1431,f19,f1411,f2315,f2303,f2291,f2280,f2145,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f1442,f1321,f1247,f1246,f1236,f1235,f925,f924,f812,f806,f1245,f1234,f425,f39,f37,f38,f737,f736,f726,f725,f677,f674,f2756,f2755,f2743,f2742,f2741,f2740,f1732]) ).

fof(f2967,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f2966]) ).

fof(f2966,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_7 ),
    inference(global_subsumption,[],[f2150,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,f463,f464,f459,f473,f470,f244,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f920,f32,f31,f931,f956,f33,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f1059,f25,f934,f1674,f2346,f1111,f26,f27,f15,f2366,f2372,f2319,f1309,f1302,f1292,f2071,f2061,f2036,f1962,f1874,f1861,f1848,f1841,f1691,f1594,f1311,f1766,f1415,f1567,f1559,f2336,f1134,f1132,f14,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f13,f1564,f1504,f20,f1431,f19,f1411,f2315,f2303,f2291,f2280,f2145,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f1442,f1321,f1247,f1246,f1236,f1235,f925,f924,f812,f806,f1732,f1245,f1234,f425,f39,f37,f38,f737,f736,f726,f725,f677,f674,f2756,f2755,f2743,f2742,f2741,f2740]) ).

fof(f2965,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f2964]) ).

fof(f2964,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_7 ),
    inference(global_subsumption,[],[f2279,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,f463,f464,f459,f473,f470,f244,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f920,f32,f31,f931,f956,f33,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f1059,f25,f934,f1674,f2346,f1111,f26,f27,f15,f2366,f2372,f2319,f1309,f1302,f1292,f2071,f2061,f2036,f1962,f1874,f1861,f1848,f1841,f1691,f1594,f1311,f1766,f1415,f1567,f1559,f2336,f1134,f1132,f14,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f13,f1564,f1504,f20,f1431,f19,f1411,f2315,f2303,f2291,f2280,f2145,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f1442,f1321,f1247,f1246,f1236,f1235,f925,f924,f812,f806,f1732,f1245,f1234,f425,f39,f37,f38,f737,f736,f726,f725,f677,f674,f2756,f2755,f2743,f2742,f2741,f2740]) ).

fof(f2963,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f2962]) ).

fof(f2962,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_7 ),
    inference(global_subsumption,[],[f2288,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,f463,f464,f459,f473,f470,f244,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f920,f32,f31,f931,f956,f33,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f1059,f25,f934,f1674,f2346,f1111,f26,f27,f15,f2366,f2372,f2319,f1309,f1302,f1292,f2071,f2061,f2036,f1962,f1874,f1861,f1848,f1841,f1691,f1594,f1311,f1766,f1415,f1567,f1559,f2336,f1134,f1132,f14,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f13,f1564,f1504,f20,f1431,f19,f1411,f2315,f2303,f2291,f2280,f2145,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f1442,f1321,f1247,f1246,f1236,f1235,f925,f924,f812,f806,f1732,f1245,f1234,f425,f39,f37,f38,f737,f736,f726,f725,f677,f674,f2756,f2755,f2743,f2742,f2741,f2740]) ).

fof(f2961,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f2960]) ).

fof(f2960,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_7 ),
    inference(global_subsumption,[],[f2290,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,f463,f464,f459,f473,f470,f244,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f920,f32,f31,f931,f956,f33,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f1059,f25,f934,f1674,f2346,f1111,f26,f27,f15,f2366,f2372,f2319,f1309,f1302,f1292,f2071,f2061,f2036,f1962,f1874,f1861,f1848,f1841,f1691,f1594,f1311,f1766,f1415,f1567,f1559,f2336,f1134,f1132,f14,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f13,f1564,f1504,f20,f1431,f19,f1411,f2315,f2303,f2291,f2280,f2145,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f1442,f1321,f1247,f1246,f1236,f1235,f925,f924,f812,f806,f1732,f1245,f1234,f425,f39,f37,f38,f737,f736,f726,f725,f677,f674,f2756,f2755,f2743,f2742,f2741,f2740]) ).

fof(f2959,plain,
    ( ~ spl0_1
    | spl0_3
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f2958]) ).

fof(f2958,plain,
    ( $false
    | ~ spl0_1
    | spl0_3
    | spl0_7 ),
    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,f463,f464,f459,f473,f470,f244,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f920,f32,f31,f931,f956,f33,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f1059,f25,f934,f1674,f2346,f1111,f26,f27,f15,f2366,f2372,f2319,f1309,f1302,f1292,f2071,f2061,f2036,f1962,f1874,f1861,f1848,f1841,f1691,f1594,f1311,f1766,f1415,f1567,f1559,f2336,f1134,f1132,f14,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f13,f1564,f1504,f20,f1431,f19,f1411,f2315,f2303,f2291,f2280,f2145,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f1442,f1321,f1247,f1246,f1236,f1235,f925,f924,f812,f806,f1732,f1245,f1234,f425,f39,f37,f38,f737,f736,f726,f725,f677,f674,f2756,f2755,f2743,f2742,f2741,f2740]) ).

fof(f2957,plain,
    ( ~ spl0_1
    | spl0_3
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f2956]) ).

fof(f2956,plain,
    ( $false
    | ~ spl0_1
    | spl0_3
    | spl0_7 ),
    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,f463,f464,f459,f473,f470,f244,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f920,f32,f31,f931,f956,f33,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f1059,f25,f934,f1674,f2346,f1111,f26,f27,f15,f2366,f2372,f2319,f1309,f1302,f1292,f2071,f2061,f2036,f1962,f1874,f1861,f1848,f1841,f1691,f1594,f1311,f1766,f1415,f1567,f1559,f2336,f1134,f1132,f14,f2740,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f13,f1564,f1504,f20,f1431,f19,f1411,f2315,f2303,f2291,f2280,f2145,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f1442,f1321,f1247,f1246,f1236,f1235,f925,f924,f812,f806,f1732,f1245,f1234,f425,f39,f37,f38,f737,f736,f726,f725,f677,f674,f2756,f2755,f2743,f2742,f2741]) ).

fof(f2955,plain,
    ( ~ spl0_1
    | spl0_3
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f2954]) ).

fof(f2954,plain,
    ( $false
    | ~ spl0_1
    | spl0_3
    | spl0_7 ),
    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,f463,f464,f459,f473,f470,f244,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f920,f32,f31,f931,f956,f33,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f1059,f25,f934,f1674,f2346,f1111,f26,f27,f15,f2366,f2372,f2319,f1309,f1302,f1292,f2071,f2061,f2036,f1962,f1874,f1861,f1848,f1841,f1691,f1594,f1311,f1766,f1415,f1567,f1559,f2336,f1134,f1132,f14,f2740,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f13,f2741,f1564,f1504,f20,f1431,f19,f1411,f2315,f2303,f2291,f2280,f2145,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f1442,f1321,f1247,f1246,f1236,f1235,f925,f924,f812,f806,f1732,f1245,f1234,f425,f39,f37,f38,f737,f736,f726,f725,f677,f674,f2756,f2755,f2743,f2742]) ).

fof(f2953,plain,
    ( ~ spl0_1
    | spl0_3
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f2952]) ).

fof(f2952,plain,
    ( $false
    | ~ spl0_1
    | spl0_3
    | spl0_7 ),
    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,f463,f464,f459,f473,f470,f244,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f920,f32,f31,f931,f956,f33,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f1059,f25,f934,f1674,f2346,f1111,f26,f27,f15,f2366,f2372,f2319,f1309,f1302,f1292,f2071,f2061,f2036,f1962,f1874,f1861,f1848,f1841,f1691,f1594,f1311,f1766,f1415,f1567,f1559,f2336,f1134,f1132,f14,f2740,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f13,f2741,f1564,f1504,f20,f2742,f1431,f19,f1411,f2315,f2303,f2291,f2280,f2145,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f1442,f1321,f1247,f1246,f1236,f1235,f925,f924,f812,f806,f1732,f1245,f1234,f425,f39,f37,f38,f737,f736,f726,f725,f677,f674,f2756,f2755,f2743]) ).

fof(f2951,plain,
    ( ~ spl0_1
    | spl0_3
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f2950]) ).

fof(f2950,plain,
    ( $false
    | ~ spl0_1
    | spl0_3
    | spl0_7 ),
    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,f463,f464,f459,f473,f470,f244,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f920,f32,f31,f931,f956,f33,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f1059,f25,f934,f1674,f2346,f1111,f26,f27,f15,f2366,f2372,f2319,f1309,f1302,f1292,f2071,f2061,f2036,f1962,f1874,f1861,f1848,f1841,f1691,f1594,f1311,f1766,f1415,f1567,f1559,f2336,f1134,f1132,f14,f2740,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f13,f2741,f1564,f1504,f20,f2742,f1431,f19,f2743,f1411,f2315,f2303,f2291,f2280,f2145,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f1442,f1321,f1247,f1246,f1236,f1235,f925,f924,f812,f806,f1732,f1245,f1234,f425,f39,f37,f38,f737,f736,f726,f725,f677,f674,f2756,f2755]) ).

fof(f2949,plain,
    ( ~ spl0_1
    | spl0_3
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f2948]) ).

fof(f2948,plain,
    ( $false
    | ~ spl0_1
    | spl0_3
    | spl0_7 ),
    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,f463,f464,f459,f473,f470,f244,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f920,f32,f31,f931,f956,f33,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f1059,f25,f934,f1674,f2346,f1111,f26,f27,f15,f2366,f2372,f2319,f1309,f1302,f1292,f2071,f2061,f2036,f1962,f1874,f1861,f1848,f1841,f1691,f1594,f1311,f1766,f1415,f1567,f1559,f2336,f1134,f1132,f14,f2740,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f13,f2741,f1564,f1504,f20,f2742,f1431,f19,f2743,f1411,f2315,f2303,f2291,f2280,f2145,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f1442,f1321,f1247,f1246,f1236,f1235,f925,f924,f812,f806,f1732,f1245,f1234,f425,f39,f37,f2755,f38,f737,f736,f726,f725,f677,f674,f2756]) ).

fof(f2947,plain,
    ( ~ spl0_1
    | spl0_3
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f2946]) ).

fof(f2946,plain,
    ( $false
    | ~ spl0_1
    | spl0_3
    | spl0_7 ),
    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,f463,f464,f459,f473,f470,f244,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f920,f32,f31,f931,f956,f33,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f1059,f25,f934,f1674,f2346,f1111,f26,f27,f15,f2366,f2372,f2319,f1309,f1302,f1292,f2071,f2061,f2036,f1962,f1874,f1861,f1848,f1841,f1691,f1594,f1311,f1766,f1415,f1567,f1559,f2336,f1134,f1132,f14,f2740,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f13,f2741,f1564,f1504,f20,f2742,f1431,f19,f2743,f1411,f2315,f2303,f2291,f2280,f2145,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f1442,f1321,f1247,f1246,f1236,f1235,f925,f924,f812,f806,f1732,f1245,f1234,f425,f39,f37,f2755,f38,f2756,f737,f736,f726,f725,f677,f674]) ).

fof(f2945,plain,
    ( ~ spl0_1
    | spl0_3
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f2944]) ).

fof(f2944,plain,
    ( $false
    | ~ spl0_1
    | spl0_3
    | spl0_7 ),
    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,f463,f464,f459,f473,f470,f244,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f920,f32,f31,f931,f956,f33,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f1059,f25,f934,f1674,f2346,f1111,f26,f27,f15,f2366,f2372,f2319,f1309,f1302,f1292,f2071,f2061,f2036,f1962,f1874,f1861,f1848,f1841,f1691,f1594,f1311,f1766,f1415,f1567,f1559,f2336,f1134,f1132,f14,f2740,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f13,f2741,f1564,f1504,f20,f2742,f1431,f19,f2743,f1411,f2315,f2303,f2291,f2280,f2145,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f1442,f1321,f1247,f1246,f1236,f1235,f925,f924,f812,f806,f674,f1732,f1245,f1234,f425,f39,f37,f2755,f38,f2756,f737,f736,f726,f725,f677]) ).

fof(f2943,plain,
    ( ~ spl0_1
    | spl0_3
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f2942]) ).

fof(f2942,plain,
    ( $false
    | ~ spl0_1
    | spl0_3
    | spl0_7 ),
    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,f463,f464,f459,f473,f470,f244,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f920,f32,f31,f931,f956,f33,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f1059,f25,f934,f1674,f2346,f1111,f26,f27,f15,f2366,f2372,f2319,f1309,f1302,f1292,f2071,f2061,f2036,f1962,f1874,f1861,f1848,f1841,f1691,f1594,f1311,f1766,f1415,f1567,f1559,f2336,f1134,f1132,f14,f2740,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f13,f2741,f1564,f1504,f20,f2742,f1431,f19,f2743,f1411,f2315,f2303,f2291,f2280,f2145,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f1442,f1321,f1247,f1246,f1236,f1235,f925,f924,f812,f806,f677,f674,f1732,f1245,f1234,f425,f39,f37,f2755,f38,f2756,f737,f736,f726,f725]) ).

fof(f2941,plain,
    ( ~ spl0_1
    | spl0_3
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f2940]) ).

fof(f2940,plain,
    ( $false
    | ~ spl0_1
    | spl0_3
    | spl0_7 ),
    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,f463,f464,f459,f473,f470,f244,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f920,f32,f31,f931,f956,f33,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f1059,f25,f934,f1674,f2346,f1111,f26,f27,f15,f2366,f2372,f2319,f1309,f1302,f1292,f2071,f2061,f2036,f1962,f1874,f1861,f1848,f1841,f1691,f1594,f1311,f1766,f1415,f1567,f1559,f2336,f1134,f1132,f14,f2740,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f13,f2741,f1564,f1504,f20,f2742,f1431,f19,f2743,f1411,f2315,f2303,f2291,f2280,f2145,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f1442,f1321,f1247,f1246,f1236,f1235,f925,f924,f812,f806,f725,f677,f674,f1732,f1245,f1234,f425,f39,f37,f2755,f38,f2756,f737,f736,f726]) ).

fof(f2939,plain,
    ( ~ spl0_1
    | spl0_3
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f2938]) ).

fof(f2938,plain,
    ( $false
    | ~ spl0_1
    | spl0_3
    | spl0_7 ),
    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,f463,f464,f459,f473,f470,f244,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f920,f32,f31,f931,f956,f33,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f1059,f25,f934,f1674,f2346,f1111,f26,f27,f15,f2366,f2372,f2319,f1309,f1302,f1292,f2071,f2061,f2036,f1962,f1874,f1861,f1848,f1841,f1691,f1594,f1311,f1766,f1415,f1567,f1559,f2336,f1134,f1132,f14,f2740,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f13,f2741,f1564,f1504,f20,f2742,f1431,f19,f2743,f1411,f2315,f2303,f2291,f2280,f2145,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f1442,f1321,f1247,f1246,f1236,f1235,f925,f924,f812,f806,f726,f725,f677,f674,f1732,f1245,f1234,f425,f39,f37,f2755,f38,f2756,f737,f736]) ).

fof(f2937,plain,
    ( ~ spl0_1
    | spl0_3
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f2936]) ).

fof(f2936,plain,
    ( $false
    | ~ spl0_1
    | spl0_3
    | spl0_7 ),
    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,f463,f464,f459,f473,f470,f244,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f920,f32,f31,f931,f956,f33,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f1059,f25,f934,f1674,f2346,f1111,f26,f27,f15,f2366,f2372,f2319,f1309,f1302,f1292,f2071,f2061,f2036,f1962,f1874,f1861,f1848,f1841,f1691,f1594,f1311,f1766,f1415,f1567,f1559,f2336,f1134,f1132,f14,f2740,f1527,f1521,f2306,f2284,f2281,f1406,f2325,f2324,f2301,f2300,f2298,f13,f2741,f1564,f1504,f20,f2742,f1431,f19,f2743,f1411,f2315,f2303,f2291,f2280,f2145,f2130,f2066,f2035,f2027,f1967,f1946,f1943,f1933,f1929,f1926,f1920,f1730,f1442,f1321,f1247,f1246,f1236,f1235,f925,f924,f812,f806,f736,f726,f725,f677,f674,f1732,f1245,f1234,f425,f39,f37,f2755,f38,f2756,f737]) ).

fof(f2935,plain,
    ( spl0_5
    | spl0_5
    | spl0_5
    | spl0_6
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f2929,f1058,f424,f47,f43,f911,f908,f908,f908]) ).

fof(f2929,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_7 ),
    inference(forward_demodulation,[],[f2928,f704]) ).

fof(f2928,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_7 ),
    inference(forward_demodulation,[],[f2927,f2773]) ).

fof(f2927,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_7 ),
    inference(forward_demodulation,[],[f2926,f2773]) ).

fof(f2926,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_7 ),
    inference(forward_demodulation,[],[f2925,f2773]) ).

fof(f2925,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_7 ),
    inference(forward_demodulation,[],[f2924,f2773]) ).

fof(f2924,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X5)
        | identity != inverse(X7)
        | identity != inverse(X3)
        | identity != inverse(X4)
        | identity != multiply(X4,sk_c8)
        | 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_7 ),
    inference(forward_demodulation,[],[f2923,f2773]) ).

fof(f2923,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X7)
        | identity != inverse(X3)
        | identity != inverse(X4)
        | sk_c8 != inverse(X5)
        | identity != multiply(X4,sk_c8)
        | 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_7 ),
    inference(forward_demodulation,[],[f2922,f2773]) ).

fof(f2922,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X3)
        | identity != inverse(X4)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X5)
        | identity != multiply(X4,sk_c8)
        | 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_7 ),
    inference(forward_demodulation,[],[f2921,f2773]) ).

fof(f2921,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X4)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X5)
        | identity != multiply(X4,sk_c8)
        | 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_7 ),
    inference(forward_demodulation,[],[f2920,f2773]) ).

fof(f2920,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c8 != inverse(X4)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X5)
        | identity != multiply(X4,sk_c8)
        | 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_7 ),
    inference(subsumption_resolution,[],[f2919,f2773]) ).

fof(f2919,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != sk_c8
        | sk_c8 != inverse(X4)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X5)
        | identity != multiply(X4,sk_c8)
        | 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_7 ),
    inference(forward_demodulation,[],[f2277,f2746]) ).

fof(f2277,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c8 != sk_c7
        | sk_c8 != inverse(X4)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X5)
        | identity != multiply(X4,sk_c8)
        | 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 ),
    inference(global_subsumption,[],[f36,f18,f30,f12,f24,f1,f2,f6,f49,f51,f3,f70,f67,f247,f265,f251,f41,f29,f28,f23,f22,f14,f13,f11,f10,f35,f34,f20,f19,f17,f16,f15,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,f463,f464,f459,f473,f470,f476,f475,f480,f244,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f812,f806,f920,f922,f924,f737,f736,f925,f726,f725,f677,f674,f32,f31,f930,f931,f26,f933,f38,f37,f954,f956,f33,f27,f39,f1060,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f25,f934,f2276,f923]) ).

fof(f2276,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(global_subsumption,[],[f934,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,f625,f618,f675,f694,f257,f708,f709,f712,f713,f704,f753,f734,f759,f723,f773,f774,f702,f842,f822,f705,f869,f879,f812,f806,f924,f737,f736,f925,f726,f725,f677,f674,f32,f31,f26,f38,f37,f33,f27,f39,f1060,f811,f1117,f1144,f1242,f1267,f1270,f1265,f1278,f1290,f1306,f1396,f1317,f1320,f1354,f1405,f1417,f1437,f1438,f1439,f1440,f1430,f1519,f1522,f1523,f1524,f1525,f1269,f1578,f1587,f1599,f1600,f1602,f1604,f1605,f1358,f1681,f1692,f1693,f1709,f1713,f1715,f1635,f1784,f1790,f1794,f1796,f1316,f1840,f1847,f1862,f1875,f1883,f1319,f2004,f1982,f1988,f2048,f2050,f1993,f2051,f2052,f2054,f2055,f1999,f2000,f2001,f1601,f2109,f2111,f2093,f2160,f2162,f2098,f2163,f2165,f2166,f2168,f2169,f2105,f2106,f2107,f25]) ).

fof(f2733,plain,
    ( spl0_5
    | spl0_5
    | spl0_5
    | spl0_6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f2707,f1062,f1058,f47,f43,f911,f908,f908,f908]) ).

fof(f2707,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,[],[f2706,f704]) ).

fof(f2706,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,[],[f2705,f2386]) ).

fof(f2386,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2376,f2]) ).

fof(f2376,plain,
    ( sk_c8 = multiply(inverse(identity),identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(superposition,[],[f381,f2365]) ).

fof(f2365,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(duplicate_literal_removal,[],[f2364]) ).

fof(f2364,plain,
    ( identity = sk_c7
    | identity = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f954,f1064]) ).

fof(f2705,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,[],[f2704,f2386]) ).

fof(f2704,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,[],[f2703,f2386]) ).

fof(f2703,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,[],[f2702,f2386]) ).

fof(f2702,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X5)
        | identity != inverse(X7)
        | identity != inverse(X3)
        | identity != inverse(X4)
        | identity != multiply(X4,sk_c8)
        | 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,[],[f2701,f2386]) ).

fof(f2701,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X7)
        | identity != inverse(X3)
        | identity != inverse(X4)
        | sk_c8 != inverse(X5)
        | identity != multiply(X4,sk_c8)
        | 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,[],[f2700,f2386]) ).

fof(f2700,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X3)
        | identity != inverse(X4)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X5)
        | identity != multiply(X4,sk_c8)
        | 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,[],[f2699,f2386]) ).

fof(f2699,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X4)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X5)
        | identity != multiply(X4,sk_c8)
        | 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,[],[f2698,f2386]) ).

fof(f2698,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c8 != inverse(X4)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X5)
        | identity != multiply(X4,sk_c8)
        | 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,[],[f2697,f2386]) ).

fof(f2697,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != sk_c8
        | sk_c8 != inverse(X4)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X5)
        | identity != multiply(X4,sk_c8)
        | 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,[],[f2277,f2365]) ).

fof(f2270,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f2269]) ).

fof(f2269,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_7 ),
    inference(subsumption_resolution,[],[f2268,f1059]) ).

fof(f2268,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_7 ),
    inference(forward_demodulation,[],[f2258,f2]) ).

fof(f2258,plain,
    ( sk_c6 = multiply(inverse(identity),identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_7 ),
    inference(superposition,[],[f67,f2251]) ).

fof(f2251,plain,
    ( identity = multiply(identity,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_7 ),
    inference(subsumption_resolution,[],[f2187,f1059]) ).

fof(f2187,plain,
    ( identity = multiply(identity,sk_c6)
    | identity = sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f2186,f944]) ).

fof(f944,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(duplicate_literal_removal,[],[f943]) ).

fof(f943,plain,
    ( identity = sk_c7
    | identity = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f942,f380]) ).

fof(f942,plain,
    ( sk_c7 = multiply(sk_c7,sk_c8)
    | identity = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f941,f475]) ).

fof(f941,plain,
    ( sk_c7 = multiply(sk_c3,sk_c8)
    | identity = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f628,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(f2186,plain,
    ( sk_c7 = multiply(identity,sk_c6)
    | identity = sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f934,f973]) ).

fof(f973,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f963,f2]) ).

fof(f963,plain,
    ( sk_c8 = multiply(inverse(identity),identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f381,f944]) ).

fof(f2263,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f2262]) ).

fof(f2262,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_7 ),
    inference(subsumption_resolution,[],[f2253,f1059]) ).

fof(f2253,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_7 ),
    inference(superposition,[],[f1,f2251]) ).

fof(f2261,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f2260]) ).

fof(f2260,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_7 ),
    inference(subsumption_resolution,[],[f2252,f1059]) ).

fof(f2252,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_7 ),
    inference(superposition,[],[f2251,f1]) ).

fof(f2171,plain,
    ( spl0_5
    | spl0_5
    | spl0_5
    | spl0_6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f1838,f1058,f424,f47,f43,f911,f908,f908,f908]) ).

fof(f1838,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_7 ),
    inference(forward_demodulation,[],[f1837,f704]) ).

fof(f1837,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_7 ),
    inference(forward_demodulation,[],[f1836,f973]) ).

fof(f1836,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_7 ),
    inference(forward_demodulation,[],[f1835,f973]) ).

fof(f1835,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_7 ),
    inference(forward_demodulation,[],[f1834,f973]) ).

fof(f1834,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_7 ),
    inference(forward_demodulation,[],[f1833,f973]) ).

fof(f1833,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X5)
        | identity != inverse(X7)
        | identity != inverse(X3)
        | identity != inverse(X4)
        | identity != multiply(X4,sk_c8)
        | 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_7 ),
    inference(forward_demodulation,[],[f1832,f973]) ).

fof(f1832,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X7)
        | identity != inverse(X3)
        | identity != inverse(X4)
        | sk_c8 != inverse(X5)
        | identity != multiply(X4,sk_c8)
        | 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_7 ),
    inference(forward_demodulation,[],[f1831,f973]) ).

fof(f1831,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X3)
        | identity != inverse(X4)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X5)
        | identity != multiply(X4,sk_c8)
        | 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_7 ),
    inference(forward_demodulation,[],[f1830,f973]) ).

fof(f1830,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X4)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X5)
        | identity != multiply(X4,sk_c8)
        | 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_7 ),
    inference(forward_demodulation,[],[f1829,f973]) ).

fof(f1829,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c8 != inverse(X4)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X5)
        | identity != multiply(X4,sk_c8)
        | 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_7 ),
    inference(subsumption_resolution,[],[f1828,f973]) ).

fof(f1828,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != sk_c8
        | sk_c8 != inverse(X4)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X5)
        | identity != multiply(X4,sk_c8)
        | 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_7 ),
    inference(forward_demodulation,[],[f1827,f944]) ).

fof(f1827,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c8 != sk_c7
        | sk_c8 != inverse(X4)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X5)
        | identity != multiply(X4,sk_c8)
        | 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 ),
    inference(subsumption_resolution,[],[f923,f1060]) ).

fof(f1065,plain,
    ( spl0_7
    | spl0_8
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f1047,f424,f47,f43,f1062,f1058]) ).

fof(f1047,plain,
    ( identity = inverse(sk_c2)
    | identity = sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f956,f944]) ).

fof(f913,plain,
    ( spl0_5
    | spl0_5
    | spl0_5
    | spl0_6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f798,f428,f424,f47,f43,f911,f908,f908,f908]) ).

fof(f798,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,[],[f797,f459]) ).

fof(f797,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,[],[f796,f582]) ).

fof(f582,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(superposition,[],[f581,f1]) ).

fof(f581,plain,
    ( identity = multiply(identity,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f580,f500]) ).

fof(f500,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f499,f380]) ).

fof(f499,plain,
    ( sk_c7 = multiply(sk_c7,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f498,f475]) ).

fof(f498,plain,
    ( sk_c7 = multiply(sk_c3,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f497,f442]) ).

fof(f497,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(f580,plain,
    ( sk_c7 = multiply(identity,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f579,f514]) ).

fof(f514,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f503,f2]) ).

fof(f503,plain,
    ( sk_c8 = multiply(inverse(identity),identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(superposition,[],[f381,f500]) ).

fof(f579,plain,
    ( sk_c7 = multiply(sk_c8,sk_c6)
    | spl0_4 ),
    inference(subsumption_resolution,[],[f27,f429]) ).

fof(f796,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,[],[f795,f500]) ).

fof(f795,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,[],[f794,f704]) ).

fof(f794,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,[],[f793,f514]) ).

fof(f793,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,[],[f792,f500]) ).

fof(f792,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,[],[f791,f514]) ).

fof(f791,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,[],[f790,f500]) ).

fof(f790,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,[],[f789,f514]) ).

fof(f789,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(subsumption_resolution,[],[f788,f514]) ).

fof(f788,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != sk_c8
        | 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,[],[f787,f500]) ).

fof(f787,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c8 != sk_c7
        | 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,[],[f786,f412]) ).

fof(f786,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != multiply(sk_c8,identity)
        | 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,[],[f785,f582]) ).

fof(f785,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(X4,identity)
        | identity != inverse(X5)
        | identity != inverse(X7)
        | identity != inverse(X3)
        | identity != inverse(X4)
        | sk_c7 != multiply(sk_c8,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,[],[f784,f582]) ).

fof(f784,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c6 != multiply(X4,identity)
        | identity != inverse(X5)
        | identity != inverse(X7)
        | identity != inverse(X3)
        | identity != inverse(X4)
        | sk_c7 != multiply(sk_c8,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,[],[f783,f500]) ).

fof(f783,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X5)
        | identity != inverse(X7)
        | identity != inverse(X3)
        | identity != inverse(X4)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c7 != multiply(sk_c8,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,[],[f782,f514]) ).

fof(f782,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X7)
        | identity != inverse(X3)
        | identity != inverse(X4)
        | sk_c8 != inverse(X5)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c7 != multiply(sk_c8,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,[],[f781,f514]) ).

fof(f781,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X3)
        | identity != inverse(X4)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X5)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c7 != multiply(sk_c8,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,[],[f780,f514]) ).

fof(f780,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X4)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X5)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c7 != multiply(sk_c8,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,[],[f779,f500]) ).

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
% 0.00/0.13  % Problem    : GRP372-1 : TPTP v8.1.2. Released v2.5.0.
% 0.11/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.34  % Computer : n028.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Fri May  3 20:49:22 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.12/0.34  % (6957)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.36  % (6960)WARNING: value z3 for option sas not known
% 0.17/0.36  % (6961)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.17/0.36  % (6962)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)
% 0.17/0.36  % (6959)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.17/0.36  % (6960)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)
% 0.17/0.36  % (6964)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)
% 0.17/0.36  % (6963)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)
% 0.17/0.36  % (6958)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.17/0.36  TRYING [1]
% 0.17/0.37  TRYING [2]
% 0.17/0.37  TRYING [3]
% 0.17/0.37  TRYING [1]
% 0.17/0.37  TRYING [2]
% 0.17/0.37  TRYING [4]
% 0.17/0.38  TRYING [3]
% 0.17/0.39  TRYING [5]
% 0.17/0.40  TRYING [4]
% 0.17/0.42  TRYING [6]
% 0.17/0.45  % (6960)First to succeed.
% 0.17/0.46  TRYING [5]
% 0.17/0.47  % (6960)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-6957"
% 0.17/0.47  % (6960)Refutation found. Thanks to Tanya!
% 0.17/0.47  % SZS status Unsatisfiable for theBenchmark
% 0.17/0.47  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.48  % (6960)------------------------------
% 0.17/0.48  % (6960)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.17/0.48  % (6960)Termination reason: Refutation
% 0.17/0.48  
% 0.17/0.48  % (6960)Memory used [KB]: 2269
% 0.17/0.48  % (6960)Time elapsed: 0.112 s
% 0.17/0.48  % (6960)Instructions burned: 242 (million)
% 0.17/0.48  % (6957)Success in time 0.135 s
%------------------------------------------------------------------------------