%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GRP224-1 : TPTP v8.2.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n021.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 : Mon May 20 21:16:51 EDT 2024

% Result   : Unsatisfiable 0.22s 0.54s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
fof(f4030,plain,
    $false,
    inference(avatar_sat_refutation,[],[f66,f126,f168,f312,f316,f322,f341,f660,f665,f672,f676,f741,f1144,f1146,f1148,f1150,f1153,f1156,f1159,f1161,f1163,f1166,f1226,f1684,f1686,f1688,f1690,f1693,f1696,f1698,f1701,f1704,f1706,f1709,f1711,f1714,f1716,f1718,f1720,f1722,f1724,f1726,f1728,f1731,f1734,f1763,f1766,f1769,f1782,f1785,f1788,f1792,f1794,f1796,f1798,f1800,f1802,f1804,f1806,f1808,f1810,f1812,f1833,f1835,f1837,f1839,f1841,f1843,f1845,f1847,f1849,f1851,f1853,f1855,f1857,f1859,f1861,f1863,f1865,f1867,f1869,f1871,f1873,f1875,f1877,f1879,f1881,f1883,f1885,f1887,f1889,f1891,f1893,f1895,f1897,f1901,f1903,f1905,f1907,f1909,f1912,f1914,f1916,f1918,f1920,f1922,f1924,f1926,f2166,f2169,f2196,f2202,f2209,f2213,f2215,f2217,f2219,f2222,f2228,f2260,f2266,f2273,f2277,f2279,f2281,f2283,f2286,f2292,f2300,f2304,f2394,f2397,f2424,f2430,f2437,f2441,f2443,f2445,f2447,f2450,f2456,f2490,f2496,f2503,f2507,f2509,f2511,f2513,f2516,f2522,f2678,f2684,f2689,f2693,f2697,f2699,f2701,f2703,f2706,f2712,f2719,f2721,f2724,f2728,f2732,f2734,f2736,f2739,f2741,f2743,f2745,f2747,f2749,f2751,f2753,f2755,f2757,f2759,f2761,f2763,f2765,f2767,f2769,f2771,f2777,f2781,f2786,f2790,f2794,f2796,f2799,f2801,f2804,f2807,f2886,f2892,f2896,f2900,f2902,f2904,f2906,f2909,f2915,f2934,f2937,f2969,f2972,f2976,f2979,f2981,f3138,f3333,f3339,f3343,f3347,f3350,f3353,f3355,f3357,f3359,f3362,f3368,f3418,f3424,f3428,f3432,f3435,f3438,f3440,f3442,f3444,f3447,f3453,f3503,f3506,f3623,f3670,f3672,f3678,f3683,f3690,f3696,f3702,f3706,f3957,f3959,f3961,f3964,f3990,f3993,f4017,f4019,f4021,f4024]) ).

fof(f4024,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f4023]) ).

fof(f4023,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f4022,f1323]) ).

fof(f1323,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(superposition,[],[f1092,f520]) ).

fof(f520,plain,
    ! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[],[f93,f2]) ).

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

fof(f93,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f81,f1]) ).

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

fof(f81,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(f1092,plain,
    ! [X0] : multiply(X0,identity) = X0,
    inference(superposition,[],[f533,f520]) ).

fof(f533,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
    inference(superposition,[],[f93,f93]) ).

fof(f4022,plain,
    ( identity != inverse(inverse(identity))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f4011,f1323]) ).

fof(f4011,plain,
    ( identity != inverse(inverse(inverse(inverse(identity))))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f4008]) ).

fof(f4008,plain,
    ( identity != identity
    | identity != inverse(inverse(inverse(inverse(identity))))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_13 ),
    inference(superposition,[],[f3997,f995]) ).

fof(f995,plain,
    ! [X0] : identity = multiply(inverse(inverse(inverse(X0))),X0),
    inference(superposition,[],[f93,f520]) ).

fof(f3997,plain,
    ( ! [X11] :
        ( identity != multiply(X11,identity)
        | identity != inverse(X11) )
    | spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f3996,f1225]) ).

fof(f1225,plain,
    ( identity = sk_c11
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f1223]) ).

fof(f1223,plain,
    ( spl0_13
  <=> identity = sk_c11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f3996,plain,
    ( ! [X11] :
        ( sk_c11 != inverse(X11)
        | identity != multiply(X11,identity) )
    | spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f3995,f183]) ).

fof(f183,plain,
    ( sk_c11 = sk_c10
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f182,f74]) ).

fof(f74,plain,
    ( sk_c11 = multiply(sk_c4,sk_c5)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f4,f60]) ).

fof(f60,plain,
    ( inverse(sk_c1) != sk_c11
    | spl0_1 ),
    inference(avatar_component_clause,[],[f59]) ).

fof(f59,plain,
    ( spl0_1
  <=> inverse(sk_c1) = sk_c11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f4,axiom,
    ( inverse(sk_c1) = sk_c11
    | sk_c11 = multiply(sk_c4,sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).

fof(f182,plain,
    ( multiply(sk_c4,sk_c5) = sk_c10
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f177,f104]) ).

fof(f104,plain,
    ( sk_c10 = multiply(sk_c11,sk_c11)
    | spl0_1 ),
    inference(superposition,[],[f97,f76]) ).

fof(f76,plain,
    ( sk_c11 = multiply(sk_c6,sk_c10)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f8,f60]) ).

fof(f8,axiom,
    ( inverse(sk_c1) = sk_c11
    | sk_c11 = multiply(sk_c6,sk_c10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).

fof(f97,plain,
    ( ! [X0] : multiply(sk_c11,multiply(sk_c6,X0)) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f89,f1]) ).

fof(f89,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(sk_c6,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f69]) ).

fof(f69,plain,
    ( identity = multiply(sk_c11,sk_c6)
    | spl0_1 ),
    inference(superposition,[],[f2,f68]) ).

fof(f68,plain,
    ( sk_c11 = inverse(sk_c6)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f7,f60]) ).

fof(f7,axiom,
    ( sk_c11 = inverse(sk_c6)
    | inverse(sk_c1) = sk_c11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).

fof(f177,plain,
    ( multiply(sk_c4,sk_c5) = multiply(sk_c11,sk_c11)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f86,f100]) ).

fof(f100,plain,
    ( sk_c5 = multiply(sk_c5,sk_c11)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f96,f74]) ).

fof(f96,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c4,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f85,f1]) ).

fof(f85,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c4,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f67]) ).

fof(f67,plain,
    ( identity = multiply(sk_c5,sk_c4)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f65]) ).

fof(f65,plain,
    ( sk_c5 = inverse(sk_c4)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f63]) ).

fof(f63,plain,
    ( spl0_2
  <=> sk_c5 = inverse(sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f86,plain,
    ( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c4,multiply(sk_c5,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f74]) ).

fof(f3995,plain,
    ( ! [X11] :
        ( identity != multiply(X11,identity)
        | sk_c10 != inverse(X11) )
    | spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f3994,f1225]) ).

fof(f3994,plain,
    ( ! [X11] :
        ( sk_c11 != multiply(X11,identity)
        | sk_c10 != inverse(X11) )
    | spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2819,f183]) ).

fof(f2819,plain,
    ( ! [X11] :
        ( sk_c10 != multiply(X11,identity)
        | sk_c10 != inverse(X11) )
    | ~ spl0_7
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f125,f1225]) ).

fof(f125,plain,
    ( ! [X11] :
        ( sk_c10 != inverse(X11)
        | sk_c10 != multiply(X11,sk_c11) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f124]) ).

fof(f124,plain,
    ( spl0_7
  <=> ! [X11] :
        ( sk_c10 != inverse(X11)
        | sk_c10 != multiply(X11,sk_c11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f4021,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f4020]) ).

fof(f4020,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f4012,f1323]) ).

fof(f4012,plain,
    ( identity != inverse(inverse(identity))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f4007]) ).

fof(f4007,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_13 ),
    inference(superposition,[],[f3997,f519]) ).

fof(f519,plain,
    ! [X0] : multiply(inverse(identity),X0) = X0,
    inference(superposition,[],[f93,f1]) ).

fof(f4019,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f4018]) ).

fof(f4018,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f4013,f1323]) ).

fof(f4013,plain,
    ( identity != inverse(inverse(identity))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f4006]) ).

fof(f4006,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_13 ),
    inference(superposition,[],[f3997,f2]) ).

fof(f4017,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f4016]) ).

fof(f4016,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f4014,f1065]) ).

fof(f1065,plain,
    identity = inverse(identity),
    inference(superposition,[],[f995,f520]) ).

fof(f4014,plain,
    ( identity != inverse(identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f4005]) ).

fof(f4005,plain,
    ( identity != identity
    | identity != inverse(identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_13 ),
    inference(superposition,[],[f3997,f1]) ).

fof(f3993,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f3992]) ).

fof(f3992,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f3987,f1323]) ).

fof(f3987,plain,
    ( identity != inverse(inverse(identity))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f3986]) ).

fof(f3986,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_13 ),
    inference(superposition,[],[f3971,f1088]) ).

fof(f1088,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f533,f2]) ).

fof(f3971,plain,
    ( ! [X5] :
        ( identity != multiply(identity,X5)
        | identity != inverse(X5) )
    | spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f3970,f1225]) ).

fof(f3970,plain,
    ( ! [X5] :
        ( sk_c11 != multiply(identity,X5)
        | identity != inverse(X5) )
    | spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f3464,f183]) ).

fof(f3464,plain,
    ( ! [X5] :
        ( sk_c10 != multiply(identity,X5)
        | identity != inverse(X5) )
    | ~ spl0_6
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f3463,f1092]) ).

fof(f3463,plain,
    ( ! [X5] :
        ( sk_c10 != multiply(identity,multiply(X5,identity))
        | identity != inverse(X5) )
    | ~ spl0_6
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f3462,f1225]) ).

fof(f3462,plain,
    ( ! [X5] :
        ( identity != inverse(X5)
        | sk_c10 != multiply(sk_c11,multiply(X5,sk_c11)) )
    | ~ spl0_6
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f122,f1225]) ).

fof(f122,plain,
    ( ! [X5] :
        ( sk_c11 != inverse(X5)
        | sk_c10 != multiply(sk_c11,multiply(X5,sk_c11)) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f121]) ).

fof(f121,plain,
    ( spl0_6
  <=> ! [X5] :
        ( sk_c11 != inverse(X5)
        | sk_c10 != multiply(sk_c11,multiply(X5,sk_c11)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f3990,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f3989]) ).

fof(f3989,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f3988,f1065]) ).

fof(f3988,plain,
    ( identity != inverse(identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f3984]) ).

fof(f3984,plain,
    ( identity != identity
    | identity != inverse(identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_13 ),
    inference(superposition,[],[f3971,f1092]) ).

fof(f3964,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f3963]) ).

fof(f3963,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f3962,f1323]) ).

fof(f3962,plain,
    ( identity != inverse(inverse(identity))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f3951,f1323]) ).

fof(f3951,plain,
    ( identity != inverse(inverse(inverse(inverse(identity))))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f3948]) ).

fof(f3948,plain,
    ( identity != identity
    | identity != inverse(inverse(inverse(inverse(identity))))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_13 ),
    inference(superposition,[],[f3901,f995]) ).

fof(f3901,plain,
    ( ! [X3] :
        ( identity != multiply(X3,identity)
        | identity != inverse(X3) )
    | spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f3900,f1225]) ).

fof(f3900,plain,
    ( ! [X3] :
        ( sk_c11 != multiply(X3,sk_c11)
        | identity != inverse(X3) )
    | spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f3899,f183]) ).

fof(f3899,plain,
    ( ! [X3] :
        ( identity != inverse(X3)
        | sk_c11 != multiply(X3,sk_c10) )
    | ~ spl0_5
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f119,f1225]) ).

fof(f119,plain,
    ( ! [X3] :
        ( sk_c11 != inverse(X3)
        | sk_c11 != multiply(X3,sk_c10) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f118]) ).

fof(f118,plain,
    ( spl0_5
  <=> ! [X3] :
        ( sk_c11 != inverse(X3)
        | sk_c11 != multiply(X3,sk_c10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f3961,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f3960]) ).

fof(f3960,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f3952,f1323]) ).

fof(f3952,plain,
    ( identity != inverse(inverse(identity))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f3947]) ).

fof(f3947,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_13 ),
    inference(superposition,[],[f3901,f519]) ).

fof(f3959,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f3958]) ).

fof(f3958,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f3953,f1323]) ).

fof(f3953,plain,
    ( identity != inverse(inverse(identity))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f3946]) ).

fof(f3946,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_13 ),
    inference(superposition,[],[f3901,f2]) ).

fof(f3957,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f3956]) ).

fof(f3956,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f3954,f1065]) ).

fof(f3954,plain,
    ( identity != inverse(identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f3945]) ).

fof(f3945,plain,
    ( identity != identity
    | identity != inverse(identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_13 ),
    inference(superposition,[],[f3901,f1]) ).

fof(f3706,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3705]) ).

fof(f3705,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(global_subsumption,[],[f3704,f1,f2,f5,f69,f70,f71,f73,f74,f75,f76,f77,f78,f79,f3,f87,f88,f91,f97,f104,f107,f98,f57,f108,f127,f99,f128,f131,f83,f132,f136,f139,f134,f142,f84,f143,f146,f148,f152,f151,f153,f145,f156,f154,f159,f86,f179,f10,f47,f93,f523,f519,f20,f739,f788,f791,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f701,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f17,f18,f22,f14,f16,f21,f23,f15,f1094,f2128,f2141,f19,f50,f40,f35,f45,f37,f30,f25,f72,f12,f3624,f4,f3625,f6,f3626,f9,f3627,f11,f3628,f13,f3629,f31,f33,f32,f29,f42,f3635,f34,f3636,f36,f3637,f38,f3638,f39,f3639,f41,f3640,f43,f3641,f53,f3642,f51,f3643,f49,f3644,f48,f3645,f46,f3646,f44,f3647,f52,f26,f3649,f24,f3650,f28,f3651,f68,f7,f8,f3653,f27,f60]) ).

fof(f27,axiom,
    ( sk_c11 = inverse(sk_c6)
    | sk_c10 = multiply(sk_c11,sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).

fof(f3653,plain,
    ( sk_c11 = multiply(sk_c6,sk_c10)
    | spl0_1 ),
    inference(global_subsumption,[],[f1,f2,f5,f69,f70,f71,f73,f74,f75,f76,f77,f78,f79,f3,f87,f88,f91,f97,f104,f107,f98,f57,f108,f127,f99,f128,f131,f83,f132,f136,f139,f134,f142,f84,f143,f146,f148,f152,f151,f153,f145,f156,f154,f159,f86,f179,f10,f47,f93,f523,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f701,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f17,f18,f22,f14,f16,f21,f23,f15,f1094,f2128,f2141,f19,f27,f50,f40,f35,f45,f37,f30,f25,f72,f12,f3624,f4,f3625,f6,f3626,f9,f3627,f11,f3628,f13,f3629,f31,f33,f32,f29,f42,f3635,f34,f3636,f36,f3637,f38,f3638,f39,f3639,f41,f3640,f43,f3641,f53,f3642,f51,f3643,f49,f3644,f48,f3645,f46,f3646,f44,f3647,f52,f26,f3649,f24,f3650,f28,f3651,f60,f68,f7,f8]) ).

fof(f3651,plain,
    ( sk_c11 = multiply(sk_c6,sk_c10)
    | spl0_1 ),
    inference(global_subsumption,[],[f1,f2,f5,f60,f68,f69,f70,f71,f73,f74,f75,f76,f77,f78,f79,f3,f87,f88,f91,f97,f104,f107,f98,f57,f108,f127,f99,f128,f131,f83,f132,f136,f139,f134,f142,f84,f143,f146,f148,f152,f151,f153,f145,f156,f154,f159,f86,f179,f8,f10,f7,f47,f93,f523,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f701,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f17,f18,f22,f14,f16,f21,f23,f15,f1094,f2128,f2141,f19,f27,f50,f40,f35,f45,f37,f30,f25,f72,f12,f3624,f4,f3625,f6,f3626,f9,f3627,f11,f3628,f13,f3629,f31,f33,f32,f29,f42,f3635,f34,f3636,f36,f3637,f38,f3638,f39,f3639,f41,f3640,f43,f3641,f53,f3642,f51,f3643,f49,f3644,f48,f3645,f46,f3646,f44,f3647,f52,f26,f3649,f24,f3650,f28]) ).

fof(f28,axiom,
    ( sk_c10 = multiply(sk_c11,sk_c3)
    | sk_c11 = multiply(sk_c6,sk_c10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).

fof(f3650,plain,
    ( sk_c11 = multiply(sk_c4,sk_c5)
    | spl0_1 ),
    inference(global_subsumption,[],[f1,f2,f5,f60,f68,f69,f70,f71,f73,f74,f75,f76,f77,f78,f79,f3,f87,f88,f91,f97,f104,f107,f98,f57,f108,f127,f99,f128,f131,f83,f132,f136,f139,f134,f142,f84,f143,f146,f148,f152,f151,f153,f145,f156,f154,f159,f86,f179,f8,f10,f7,f47,f93,f523,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f701,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f17,f18,f22,f14,f16,f21,f23,f15,f1094,f2128,f2141,f19,f27,f28,f50,f40,f35,f45,f37,f30,f25,f72,f12,f3624,f4,f3625,f6,f3626,f9,f3627,f11,f3628,f13,f3629,f31,f33,f32,f29,f42,f3635,f34,f3636,f36,f3637,f38,f3638,f39,f3639,f41,f3640,f43,f3641,f53,f3642,f51,f3643,f49,f3644,f48,f3645,f46,f3646,f44,f3647,f52,f26,f3649,f24]) ).

fof(f24,axiom,
    ( sk_c10 = multiply(sk_c11,sk_c3)
    | sk_c11 = multiply(sk_c4,sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).

fof(f3649,plain,
    ( sk_c11 = multiply(sk_c5,sk_c10)
    | spl0_1 ),
    inference(global_subsumption,[],[f1,f2,f5,f60,f68,f69,f70,f71,f73,f74,f75,f76,f77,f78,f79,f3,f87,f88,f91,f97,f104,f107,f98,f57,f108,f127,f99,f128,f131,f83,f132,f136,f139,f134,f142,f84,f143,f146,f148,f152,f151,f153,f145,f156,f154,f159,f86,f179,f8,f10,f7,f47,f93,f523,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f701,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f17,f18,f22,f14,f16,f21,f23,f15,f1094,f2128,f2141,f19,f27,f28,f24,f50,f40,f35,f45,f37,f30,f25,f72,f12,f3624,f4,f3625,f6,f3626,f9,f3627,f11,f3628,f13,f3629,f31,f33,f32,f29,f42,f3635,f34,f3636,f36,f3637,f38,f3638,f39,f3639,f41,f3640,f43,f3641,f53,f3642,f51,f3643,f49,f3644,f48,f3645,f46,f3646,f44,f3647,f52,f26]) ).

fof(f26,axiom,
    ( sk_c10 = multiply(sk_c11,sk_c3)
    | sk_c11 = multiply(sk_c5,sk_c10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).

fof(f52,axiom,
    ( sk_c10 = inverse(sk_c9)
    | sk_c11 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_49) ).

fof(f3647,plain,
    ( sk_c11 = multiply(sk_c4,sk_c5)
    | spl0_1 ),
    inference(global_subsumption,[],[f1,f2,f5,f60,f68,f69,f70,f71,f73,f74,f75,f76,f77,f78,f79,f3,f87,f88,f91,f97,f104,f107,f98,f57,f108,f127,f99,f128,f131,f83,f132,f136,f139,f134,f142,f84,f143,f146,f148,f152,f151,f153,f145,f156,f154,f159,f86,f179,f8,f10,f7,f47,f93,f523,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f701,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f17,f18,f22,f14,f16,f21,f23,f15,f1094,f2128,f2141,f19,f27,f28,f24,f26,f50,f52,f40,f35,f45,f37,f30,f25,f72,f12,f3624,f4,f3625,f6,f3626,f9,f3627,f11,f3628,f13,f3629,f31,f33,f32,f29,f42,f3635,f34,f3636,f36,f3637,f38,f3638,f39,f3639,f41,f3640,f43,f3641,f53,f3642,f51,f3643,f49,f3644,f48,f3645,f46,f3646,f44]) ).

fof(f44,axiom,
    ( sk_c11 = inverse(sk_c2)
    | sk_c11 = multiply(sk_c4,sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_41) ).

fof(f3646,plain,
    ( sk_c11 = multiply(sk_c5,sk_c10)
    | spl0_1 ),
    inference(global_subsumption,[],[f1,f2,f5,f60,f68,f69,f70,f71,f73,f74,f75,f76,f77,f78,f79,f3,f87,f88,f91,f97,f104,f107,f98,f57,f108,f127,f99,f128,f131,f83,f132,f136,f139,f134,f142,f84,f143,f146,f148,f152,f151,f153,f145,f156,f154,f159,f86,f179,f8,f10,f7,f47,f93,f523,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f701,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f17,f18,f22,f14,f16,f21,f23,f15,f1094,f2128,f2141,f19,f27,f28,f24,f26,f50,f52,f44,f40,f35,f45,f37,f30,f25,f72,f12,f3624,f4,f3625,f6,f3626,f9,f3627,f11,f3628,f13,f3629,f31,f33,f32,f29,f42,f3635,f34,f3636,f36,f3637,f38,f3638,f39,f3639,f41,f3640,f43,f3641,f53,f3642,f51,f3643,f49,f3644,f48,f3645,f46]) ).

fof(f46,axiom,
    ( sk_c11 = inverse(sk_c2)
    | sk_c11 = multiply(sk_c5,sk_c10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_43) ).

fof(f3645,plain,
    ( sk_c11 = multiply(sk_c6,sk_c10)
    | spl0_1 ),
    inference(global_subsumption,[],[f1,f2,f5,f60,f68,f69,f70,f71,f73,f74,f75,f76,f77,f78,f79,f3,f87,f88,f91,f97,f104,f107,f98,f57,f108,f127,f99,f128,f131,f83,f132,f136,f139,f134,f142,f84,f143,f146,f148,f152,f151,f153,f145,f156,f154,f159,f86,f179,f8,f10,f7,f47,f93,f523,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f701,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f17,f18,f22,f14,f16,f21,f23,f15,f1094,f2128,f2141,f19,f27,f28,f24,f26,f50,f52,f44,f46,f40,f35,f45,f37,f30,f25,f72,f12,f3624,f4,f3625,f6,f3626,f9,f3627,f11,f3628,f13,f3629,f31,f33,f32,f29,f42,f3635,f34,f3636,f36,f3637,f38,f3638,f39,f3639,f41,f3640,f43,f3641,f53,f3642,f51,f3643,f49,f3644,f48]) ).

fof(f48,axiom,
    ( sk_c11 = inverse(sk_c2)
    | sk_c11 = multiply(sk_c6,sk_c10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_45) ).

fof(f3644,plain,
    ( sk_c10 = multiply(sk_c7,sk_c8)
    | spl0_1 ),
    inference(global_subsumption,[],[f1,f2,f5,f60,f68,f69,f70,f71,f73,f74,f75,f76,f77,f78,f79,f3,f87,f88,f91,f97,f104,f107,f98,f57,f108,f127,f99,f128,f131,f83,f132,f136,f139,f134,f142,f84,f143,f146,f148,f152,f151,f153,f145,f156,f154,f159,f86,f179,f8,f10,f7,f47,f93,f523,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f701,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f17,f18,f22,f14,f16,f21,f23,f15,f1094,f2128,f2141,f19,f27,f28,f24,f26,f50,f52,f44,f46,f48,f40,f35,f45,f37,f30,f25,f72,f12,f3624,f4,f3625,f6,f3626,f9,f3627,f11,f3628,f13,f3629,f31,f33,f32,f29,f42,f3635,f34,f3636,f36,f3637,f38,f3638,f39,f3639,f41,f3640,f43,f3641,f53,f3642,f51,f3643,f49]) ).

fof(f49,axiom,
    ( sk_c11 = inverse(sk_c2)
    | sk_c10 = multiply(sk_c7,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_46) ).

fof(f3643,plain,
    ( sk_c10 = multiply(sk_c8,sk_c11)
    | spl0_1 ),
    inference(global_subsumption,[],[f1,f2,f5,f60,f68,f69,f70,f71,f73,f74,f75,f76,f77,f78,f79,f3,f87,f88,f91,f97,f104,f107,f98,f57,f108,f127,f99,f128,f131,f83,f132,f136,f139,f134,f142,f84,f143,f146,f148,f152,f151,f153,f145,f156,f154,f159,f86,f179,f8,f10,f7,f47,f93,f523,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f701,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f17,f18,f22,f14,f16,f21,f23,f15,f1094,f2128,f2141,f19,f27,f28,f24,f26,f50,f52,f44,f46,f48,f49,f40,f35,f45,f37,f30,f25,f72,f12,f3624,f4,f3625,f6,f3626,f9,f3627,f11,f3628,f13,f3629,f31,f33,f32,f29,f42,f3635,f34,f3636,f36,f3637,f38,f3638,f39,f3639,f41,f3640,f43,f3641,f53,f3642,f51]) ).

fof(f51,axiom,
    ( sk_c11 = inverse(sk_c2)
    | sk_c10 = multiply(sk_c8,sk_c11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_48) ).

fof(f3642,plain,
    ( sk_c10 = multiply(sk_c9,sk_c11)
    | spl0_1 ),
    inference(global_subsumption,[],[f1,f2,f5,f60,f68,f69,f70,f71,f73,f74,f75,f76,f77,f78,f79,f3,f87,f88,f91,f97,f104,f107,f98,f57,f108,f127,f99,f128,f131,f83,f132,f136,f139,f134,f142,f84,f143,f146,f148,f152,f151,f153,f145,f156,f154,f159,f86,f179,f8,f10,f7,f47,f93,f523,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f701,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f17,f18,f22,f14,f16,f21,f23,f15,f1094,f2128,f2141,f19,f27,f28,f24,f26,f50,f52,f44,f46,f48,f49,f51,f40,f35,f45,f37,f30,f25,f72,f12,f3624,f4,f3625,f6,f3626,f9,f3627,f11,f3628,f13,f3629,f31,f33,f32,f29,f42,f3635,f34,f3636,f36,f3637,f38,f3638,f39,f3639,f41,f3640,f43,f3641,f53]) ).

fof(f53,axiom,
    ( sk_c11 = inverse(sk_c2)
    | sk_c10 = multiply(sk_c9,sk_c11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_50) ).

fof(f3641,plain,
    ( sk_c10 = multiply(sk_c9,sk_c11)
    | spl0_1 ),
    inference(global_subsumption,[],[f1,f2,f5,f60,f68,f69,f70,f71,f73,f74,f75,f76,f77,f78,f79,f3,f87,f88,f91,f97,f104,f107,f98,f57,f108,f127,f99,f128,f131,f83,f132,f136,f139,f134,f142,f84,f143,f146,f148,f152,f151,f153,f145,f156,f154,f159,f86,f179,f8,f10,f7,f47,f93,f523,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f701,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f17,f18,f22,f14,f16,f21,f23,f15,f1094,f2128,f2141,f19,f27,f28,f24,f26,f50,f52,f44,f46,f48,f49,f51,f53,f40,f35,f45,f37,f30,f25,f72,f12,f3624,f4,f3625,f6,f3626,f9,f3627,f11,f3628,f13,f3629,f31,f33,f32,f29,f42,f3635,f34,f3636,f36,f3637,f38,f3638,f39,f3639,f41,f3640,f43]) ).

fof(f43,axiom,
    ( sk_c3 = multiply(sk_c2,sk_c11)
    | sk_c10 = multiply(sk_c9,sk_c11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_40) ).

fof(f3640,plain,
    ( sk_c10 = multiply(sk_c8,sk_c11)
    | spl0_1 ),
    inference(global_subsumption,[],[f1,f2,f5,f60,f68,f69,f70,f71,f73,f74,f75,f76,f77,f78,f79,f3,f87,f88,f91,f97,f104,f107,f98,f57,f108,f127,f99,f128,f131,f83,f132,f136,f139,f134,f142,f84,f143,f146,f148,f152,f151,f153,f145,f156,f154,f159,f86,f179,f8,f10,f7,f47,f93,f523,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f701,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f17,f18,f22,f14,f16,f21,f23,f15,f1094,f2128,f2141,f19,f27,f28,f24,f26,f50,f52,f44,f46,f48,f49,f51,f53,f43,f40,f35,f45,f37,f30,f25,f72,f12,f3624,f4,f3625,f6,f3626,f9,f3627,f11,f3628,f13,f3629,f31,f33,f32,f29,f42,f3635,f34,f3636,f36,f3637,f38,f3638,f39,f3639,f41]) ).

fof(f41,axiom,
    ( sk_c3 = multiply(sk_c2,sk_c11)
    | sk_c10 = multiply(sk_c8,sk_c11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_38) ).

fof(f3639,plain,
    ( sk_c10 = multiply(sk_c7,sk_c8)
    | spl0_1 ),
    inference(global_subsumption,[],[f1,f2,f5,f60,f68,f69,f70,f71,f73,f74,f75,f76,f77,f78,f79,f3,f87,f88,f91,f97,f104,f107,f98,f57,f108,f127,f99,f128,f131,f83,f132,f136,f139,f134,f142,f84,f143,f146,f148,f152,f151,f153,f145,f156,f154,f159,f86,f179,f8,f10,f7,f47,f93,f523,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f701,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f17,f18,f22,f14,f16,f21,f23,f15,f1094,f2128,f2141,f19,f27,f28,f24,f26,f50,f52,f44,f46,f48,f49,f51,f53,f43,f41,f40,f35,f45,f37,f30,f25,f72,f12,f3624,f4,f3625,f6,f3626,f9,f3627,f11,f3628,f13,f3629,f31,f33,f32,f29,f42,f3635,f34,f3636,f36,f3637,f38,f3638,f39]) ).

fof(f39,axiom,
    ( sk_c3 = multiply(sk_c2,sk_c11)
    | sk_c10 = multiply(sk_c7,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).

fof(f3638,plain,
    ( sk_c11 = multiply(sk_c6,sk_c10)
    | spl0_1 ),
    inference(global_subsumption,[],[f1,f2,f5,f60,f68,f69,f70,f71,f73,f74,f75,f76,f77,f78,f79,f3,f87,f88,f91,f97,f104,f107,f98,f57,f108,f127,f99,f128,f131,f83,f132,f136,f139,f134,f142,f84,f143,f146,f148,f152,f151,f153,f145,f156,f154,f159,f86,f179,f8,f10,f7,f47,f93,f523,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f701,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f17,f18,f22,f14,f16,f21,f23,f15,f1094,f2128,f2141,f19,f27,f28,f24,f26,f50,f52,f44,f46,f48,f49,f51,f53,f43,f41,f39,f40,f35,f45,f37,f30,f25,f72,f12,f3624,f4,f3625,f6,f3626,f9,f3627,f11,f3628,f13,f3629,f31,f33,f32,f29,f42,f3635,f34,f3636,f36,f3637,f38]) ).

fof(f38,axiom,
    ( sk_c3 = multiply(sk_c2,sk_c11)
    | sk_c11 = multiply(sk_c6,sk_c10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).

fof(f3637,plain,
    ( sk_c11 = multiply(sk_c5,sk_c10)
    | spl0_1 ),
    inference(global_subsumption,[],[f1,f2,f5,f60,f68,f69,f70,f71,f73,f74,f75,f76,f77,f78,f79,f3,f87,f88,f91,f97,f104,f107,f98,f57,f108,f127,f99,f128,f131,f83,f132,f136,f139,f134,f142,f84,f143,f146,f148,f152,f151,f153,f145,f156,f154,f159,f86,f179,f8,f10,f7,f47,f93,f523,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f701,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f17,f18,f22,f14,f16,f21,f23,f15,f1094,f2128,f2141,f19,f27,f28,f24,f26,f50,f52,f44,f46,f48,f49,f51,f53,f43,f41,f39,f38,f40,f35,f45,f37,f30,f25,f72,f12,f3624,f4,f3625,f6,f3626,f9,f3627,f11,f3628,f13,f3629,f31,f33,f32,f29,f42,f3635,f34,f3636,f36]) ).

fof(f36,axiom,
    ( sk_c3 = multiply(sk_c2,sk_c11)
    | sk_c11 = multiply(sk_c5,sk_c10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).

fof(f3636,plain,
    ( sk_c11 = multiply(sk_c4,sk_c5)
    | spl0_1 ),
    inference(global_subsumption,[],[f1,f2,f5,f60,f68,f69,f70,f71,f73,f74,f75,f76,f77,f78,f79,f3,f87,f88,f91,f97,f104,f107,f98,f57,f108,f127,f99,f128,f131,f83,f132,f136,f139,f134,f142,f84,f143,f146,f148,f152,f151,f153,f145,f156,f154,f159,f86,f179,f8,f10,f7,f47,f93,f523,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f701,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f17,f18,f22,f14,f16,f21,f23,f15,f1094,f2128,f2141,f19,f27,f28,f24,f26,f50,f52,f44,f46,f48,f49,f51,f53,f43,f41,f39,f38,f36,f40,f35,f45,f37,f30,f25,f72,f12,f3624,f4,f3625,f6,f3626,f9,f3627,f11,f3628,f13,f3629,f31,f33,f32,f29,f42,f3635,f34]) ).

fof(f34,axiom,
    ( sk_c3 = multiply(sk_c2,sk_c11)
    | sk_c11 = multiply(sk_c4,sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).

fof(f3635,plain,
    ( sk_c10 = inverse(sk_c9)
    | spl0_1 ),
    inference(global_subsumption,[],[f1,f2,f5,f60,f68,f69,f70,f71,f73,f74,f75,f76,f77,f78,f79,f3,f87,f88,f91,f97,f104,f107,f98,f57,f108,f127,f99,f128,f131,f83,f132,f136,f139,f134,f142,f84,f143,f146,f148,f152,f151,f153,f145,f156,f154,f159,f86,f179,f8,f10,f7,f47,f93,f523,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f701,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f17,f18,f22,f14,f16,f21,f23,f15,f1094,f2128,f2141,f19,f27,f28,f24,f26,f50,f52,f44,f46,f48,f49,f51,f53,f43,f41,f39,f38,f36,f34,f40,f35,f45,f37,f30,f25,f72,f12,f3624,f4,f3625,f6,f3626,f9,f3627,f11,f3628,f13,f3629,f31,f33,f32,f29,f42]) ).

fof(f42,axiom,
    ( sk_c10 = inverse(sk_c9)
    | sk_c3 = multiply(sk_c2,sk_c11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_39) ).

fof(f29,axiom,
    ( sk_c10 = multiply(sk_c7,sk_c8)
    | sk_c10 = multiply(sk_c11,sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).

fof(f32,axiom,
    ( sk_c10 = inverse(sk_c9)
    | sk_c10 = multiply(sk_c11,sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).

fof(f33,axiom,
    ( sk_c10 = multiply(sk_c9,sk_c11)
    | sk_c10 = multiply(sk_c11,sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).

fof(f31,axiom,
    ( sk_c10 = multiply(sk_c8,sk_c11)
    | sk_c10 = multiply(sk_c11,sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).

fof(f3629,plain,
    ( sk_c10 = multiply(sk_c9,sk_c11)
    | spl0_1 ),
    inference(global_subsumption,[],[f1,f2,f5,f60,f68,f69,f70,f71,f73,f74,f75,f76,f77,f78,f79,f3,f87,f88,f91,f97,f104,f107,f98,f57,f108,f127,f99,f128,f131,f83,f132,f136,f139,f134,f142,f84,f143,f146,f148,f152,f151,f153,f145,f156,f154,f159,f86,f179,f8,f10,f7,f47,f93,f523,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f701,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f17,f18,f22,f14,f16,f21,f23,f15,f1094,f2128,f2141,f19,f31,f33,f27,f28,f24,f32,f26,f50,f52,f44,f46,f48,f49,f51,f53,f43,f41,f39,f38,f36,f34,f42,f40,f35,f45,f37,f29,f30,f25,f72,f12,f3624,f4,f3625,f6,f3626,f9,f3627,f11,f3628,f13]) ).

fof(f13,axiom,
    ( inverse(sk_c1) = sk_c11
    | sk_c10 = multiply(sk_c9,sk_c11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).

fof(f3628,plain,
    ( sk_c10 = multiply(sk_c8,sk_c11)
    | spl0_1 ),
    inference(global_subsumption,[],[f1,f2,f5,f60,f68,f69,f70,f71,f73,f74,f75,f76,f77,f78,f79,f3,f87,f88,f91,f97,f104,f107,f98,f57,f108,f127,f99,f128,f131,f83,f132,f136,f139,f134,f142,f84,f143,f146,f148,f152,f151,f153,f145,f156,f154,f159,f86,f179,f13,f8,f10,f7,f47,f93,f523,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f701,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f17,f18,f22,f14,f16,f21,f23,f15,f1094,f2128,f2141,f19,f31,f33,f27,f28,f24,f32,f26,f50,f52,f44,f46,f48,f49,f51,f53,f43,f41,f39,f38,f36,f34,f42,f40,f35,f45,f37,f29,f30,f25,f72,f12,f3624,f4,f3625,f6,f3626,f9,f3627,f11]) ).

fof(f11,axiom,
    ( inverse(sk_c1) = sk_c11
    | sk_c10 = multiply(sk_c8,sk_c11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).

fof(f3627,plain,
    ( sk_c10 = multiply(sk_c7,sk_c8)
    | spl0_1 ),
    inference(global_subsumption,[],[f1,f2,f5,f60,f68,f69,f70,f71,f73,f74,f75,f76,f77,f78,f79,f3,f87,f88,f91,f97,f104,f107,f98,f57,f108,f127,f99,f128,f131,f83,f132,f136,f139,f134,f142,f84,f143,f146,f148,f152,f151,f153,f145,f156,f154,f159,f86,f179,f13,f11,f8,f10,f7,f47,f93,f523,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f701,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f17,f18,f22,f14,f16,f21,f23,f15,f1094,f2128,f2141,f19,f31,f33,f27,f28,f24,f32,f26,f50,f52,f44,f46,f48,f49,f51,f53,f43,f41,f39,f38,f36,f34,f42,f40,f35,f45,f37,f29,f30,f25,f72,f12,f3624,f4,f3625,f6,f3626,f9]) ).

fof(f9,axiom,
    ( inverse(sk_c1) = sk_c11
    | sk_c10 = multiply(sk_c7,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).

fof(f3626,plain,
    ( sk_c11 = multiply(sk_c5,sk_c10)
    | spl0_1 ),
    inference(global_subsumption,[],[f1,f2,f5,f60,f68,f69,f70,f71,f73,f74,f75,f76,f77,f78,f79,f3,f87,f88,f91,f97,f104,f107,f98,f57,f108,f127,f99,f128,f131,f83,f132,f136,f139,f134,f142,f84,f143,f146,f148,f152,f151,f153,f145,f156,f154,f159,f86,f179,f13,f11,f9,f8,f10,f7,f47,f93,f523,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f701,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f17,f18,f22,f14,f16,f21,f23,f15,f1094,f2128,f2141,f19,f31,f33,f27,f28,f24,f32,f26,f50,f52,f44,f46,f48,f49,f51,f53,f43,f41,f39,f38,f36,f34,f42,f40,f35,f45,f37,f29,f30,f25,f72,f12,f3624,f4,f3625,f6]) ).

fof(f6,axiom,
    ( inverse(sk_c1) = sk_c11
    | sk_c11 = multiply(sk_c5,sk_c10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).

fof(f3625,plain,
    ( sk_c11 = multiply(sk_c4,sk_c5)
    | spl0_1 ),
    inference(global_subsumption,[],[f1,f2,f5,f60,f68,f69,f70,f71,f73,f74,f75,f76,f77,f78,f79,f3,f87,f88,f91,f97,f104,f107,f98,f57,f108,f127,f99,f128,f131,f83,f132,f136,f139,f134,f142,f84,f143,f146,f148,f152,f151,f153,f145,f156,f154,f159,f86,f179,f13,f11,f9,f8,f6,f10,f7,f47,f93,f523,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f701,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f17,f18,f22,f14,f16,f21,f23,f15,f1094,f2128,f2141,f19,f31,f33,f27,f28,f24,f32,f26,f50,f52,f44,f46,f48,f49,f51,f53,f43,f41,f39,f38,f36,f34,f42,f40,f35,f45,f37,f29,f30,f25,f72,f12,f3624,f4]) ).

fof(f3624,plain,
    ( sk_c10 = inverse(sk_c9)
    | spl0_1 ),
    inference(global_subsumption,[],[f1,f2,f5,f60,f68,f69,f70,f71,f73,f74,f75,f76,f77,f78,f79,f3,f87,f88,f91,f97,f104,f107,f98,f57,f108,f127,f99,f128,f131,f83,f132,f136,f139,f134,f142,f84,f143,f146,f148,f152,f151,f153,f145,f156,f154,f159,f86,f179,f13,f11,f9,f8,f6,f4,f10,f7,f47,f93,f523,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f701,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f17,f18,f22,f14,f16,f21,f23,f15,f1094,f2128,f2141,f19,f31,f33,f27,f28,f24,f32,f26,f50,f52,f44,f46,f48,f49,f51,f53,f43,f41,f39,f38,f36,f34,f42,f40,f35,f45,f37,f29,f30,f25,f72,f12]) ).

fof(f12,axiom,
    ( sk_c10 = inverse(sk_c9)
    | inverse(sk_c1) = sk_c11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).

fof(f72,plain,
    ( sk_c10 = inverse(sk_c9)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f12,f60]) ).

fof(f25,axiom,
    ( sk_c5 = inverse(sk_c4)
    | sk_c10 = multiply(sk_c11,sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).

fof(f30,axiom,
    ( sk_c8 = inverse(sk_c7)
    | sk_c10 = multiply(sk_c11,sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).

fof(f37,axiom,
    ( sk_c11 = inverse(sk_c6)
    | sk_c3 = multiply(sk_c2,sk_c11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).

fof(f45,axiom,
    ( sk_c5 = inverse(sk_c4)
    | sk_c11 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_42) ).

fof(f35,axiom,
    ( sk_c5 = inverse(sk_c4)
    | sk_c3 = multiply(sk_c2,sk_c11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).

fof(f40,axiom,
    ( sk_c8 = inverse(sk_c7)
    | sk_c3 = multiply(sk_c2,sk_c11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).

fof(f50,axiom,
    ( sk_c8 = inverse(sk_c7)
    | sk_c11 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_47) ).

fof(f19,axiom,
    ( sk_c10 = multiply(sk_c7,sk_c8)
    | sk_c11 = multiply(sk_c1,sk_c10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).

fof(f2141,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
    inference(superposition,[],[f3,f1094]) ).

fof(f2128,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
    inference(superposition,[],[f1094,f3]) ).

fof(f1094,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f533,f93]) ).

fof(f15,axiom,
    ( sk_c5 = inverse(sk_c4)
    | sk_c11 = multiply(sk_c1,sk_c10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).

fof(f23,axiom,
    ( sk_c10 = multiply(sk_c9,sk_c11)
    | sk_c11 = multiply(sk_c1,sk_c10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).

fof(f21,axiom,
    ( sk_c10 = multiply(sk_c8,sk_c11)
    | sk_c11 = multiply(sk_c1,sk_c10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).

fof(f16,axiom,
    ( sk_c11 = multiply(sk_c5,sk_c10)
    | sk_c11 = multiply(sk_c1,sk_c10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).

fof(f14,axiom,
    ( sk_c11 = multiply(sk_c4,sk_c5)
    | sk_c11 = multiply(sk_c1,sk_c10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).

fof(f22,axiom,
    ( sk_c10 = inverse(sk_c9)
    | sk_c11 = multiply(sk_c1,sk_c10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).

fof(f18,axiom,
    ( sk_c11 = multiply(sk_c6,sk_c10)
    | sk_c11 = multiply(sk_c1,sk_c10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).

fof(f17,axiom,
    ( sk_c11 = inverse(sk_c6)
    | sk_c11 = multiply(sk_c1,sk_c10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).

fof(f1517,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
    inference(superposition,[],[f3,f1088]) ).

fof(f1540,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(forward_demodulation,[],[f1515,f1]) ).

fof(f1515,plain,
    ! [X0,X1] : multiply(identity,X1) = multiply(X0,multiply(inverse(X0),X1)),
    inference(superposition,[],[f3,f1088]) ).

fof(f1501,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
    inference(superposition,[],[f1088,f3]) ).

fof(f1426,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f2,f1323]) ).

fof(f1425,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f93,f1323]) ).

fof(f1381,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(forward_demodulation,[],[f1356,f1092]) ).

fof(f1356,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,identity),
    inference(superposition,[],[f533,f1092]) ).

fof(f1338,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(superposition,[],[f520,f1092]) ).

fof(f1369,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(forward_demodulation,[],[f1333,f1092]) ).

fof(f1333,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,identity),
    inference(superposition,[],[f1092,f533]) ).

fof(f701,plain,
    ! [X0] : multiply(inverse(inverse(identity)),X0) = X0,
    inference(superposition,[],[f93,f519]) ).

fof(f1068,plain,
    identity = inverse(identity),
    inference(superposition,[],[f520,f995]) ).

fof(f1110,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f93,f533]) ).

fof(f1108,plain,
    ! [X0] : multiply(X0,identity) = X0,
    inference(superposition,[],[f520,f533]) ).

fof(f1103,plain,
    ! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
    inference(superposition,[],[f93,f533]) ).

fof(f1102,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f2,f533]) ).

fof(f1072,plain,
    ! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f1067,f1]) ).

fof(f1067,plain,
    ! [X0,X1] : multiply(identity,X1) = multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)),
    inference(superposition,[],[f3,f995]) ).

fof(f1066,plain,
    ! [X0] : multiply(inverse(inverse(inverse(inverse(X0)))),identity) = X0,
    inference(superposition,[],[f93,f995]) ).

fof(f1004,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
    inference(forward_demodulation,[],[f996,f1]) ).

fof(f996,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),multiply(identity,X1)),
    inference(superposition,[],[f3,f520]) ).

fof(f791,plain,
    ( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c11,multiply(sk_c3,X0))
    | spl0_11 ),
    inference(superposition,[],[f3,f788]) ).

fof(f788,plain,
    ( sk_c10 = multiply(sk_c11,sk_c3)
    | spl0_11 ),
    inference(subsumption_resolution,[],[f30,f739]) ).

fof(f739,plain,
    ( sk_c8 != inverse(sk_c7)
    | spl0_11 ),
    inference(avatar_component_clause,[],[f738]) ).

fof(f738,plain,
    ( spl0_11
  <=> sk_c8 = inverse(sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f20,axiom,
    ( sk_c8 = inverse(sk_c7)
    | sk_c11 = multiply(sk_c1,sk_c10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).

fof(f523,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
    inference(superposition,[],[f93,f3]) ).

fof(f47,axiom,
    ( sk_c11 = inverse(sk_c6)
    | sk_c11 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_44) ).

fof(f10,axiom,
    ( sk_c8 = inverse(sk_c7)
    | inverse(sk_c1) = sk_c11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).

fof(f179,plain,
    ( multiply(sk_c11,sk_c10) = multiply(sk_c4,sk_c11)
    | spl0_1 ),
    inference(superposition,[],[f86,f75]) ).

fof(f159,plain,
    ( ! [X0] : multiply(sk_c10,multiply(sk_c10,multiply(sk_c6,X0))) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f158,f1]) ).

fof(f158,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c10,multiply(sk_c6,X0)))
    | spl0_1 ),
    inference(forward_demodulation,[],[f157,f3]) ).

fof(f157,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(multiply(sk_c10,sk_c6),X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f154]) ).

fof(f154,plain,
    ( identity = multiply(sk_c10,multiply(sk_c10,sk_c6))
    | spl0_1 ),
    inference(superposition,[],[f99,f145]) ).

fof(f156,plain,
    ( ! [X0] : multiply(sk_c9,X0) = multiply(multiply(sk_c10,sk_c6),X0)
    | spl0_1 ),
    inference(forward_demodulation,[],[f155,f1]) ).

fof(f155,plain,
    ( ! [X0] : multiply(multiply(sk_c10,sk_c6),X0) = multiply(sk_c9,multiply(identity,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f145]) ).

fof(f145,plain,
    ( multiply(sk_c10,sk_c6) = multiply(sk_c9,identity)
    | spl0_1 ),
    inference(superposition,[],[f84,f69]) ).

fof(f153,plain,
    ( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c10,multiply(sk_c8,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f151]) ).

fof(f151,plain,
    ( sk_c10 = multiply(sk_c10,sk_c8)
    | spl0_1 ),
    inference(superposition,[],[f99,f148]) ).

fof(f152,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c9,multiply(sk_c10,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f148]) ).

fof(f148,plain,
    ( sk_c8 = multiply(sk_c9,sk_c10)
    | spl0_1 ),
    inference(forward_demodulation,[],[f144,f136]) ).

fof(f144,plain,
    ( multiply(sk_c10,sk_c11) = multiply(sk_c9,sk_c10)
    | spl0_1 ),
    inference(superposition,[],[f84,f104]) ).

fof(f146,plain,
    ( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c10,multiply(sk_c10,X0))
    | spl0_1 ),
    inference(superposition,[],[f99,f84]) ).

fof(f143,plain,
    ( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c10,multiply(sk_c6,X0))
    | spl0_1 ),
    inference(superposition,[],[f84,f97]) ).

fof(f84,plain,
    ( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c9,multiply(sk_c11,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f79]) ).

fof(f142,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c10,multiply(sk_c6,X0))
    | spl0_1 ),
    inference(forward_demodulation,[],[f141,f1]) ).

fof(f141,plain,
    ( ! [X0] : multiply(sk_c10,multiply(sk_c6,X0)) = multiply(sk_c8,multiply(identity,X0))
    | spl0_1 ),
    inference(forward_demodulation,[],[f140,f3]) ).

fof(f140,plain,
    ( ! [X0] : multiply(sk_c8,multiply(identity,X0)) = multiply(multiply(sk_c10,sk_c6),X0)
    | spl0_1 ),
    inference(superposition,[],[f3,f134]) ).

fof(f134,plain,
    ( multiply(sk_c10,sk_c6) = multiply(sk_c8,identity)
    | spl0_1 ),
    inference(superposition,[],[f83,f69]) ).

fof(f139,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c10,multiply(sk_c11,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f136]) ).

fof(f136,plain,
    ( sk_c8 = multiply(sk_c10,sk_c11)
    | spl0_1 ),
    inference(forward_demodulation,[],[f133,f108]) ).

fof(f133,plain,
    ( multiply(sk_c8,sk_c10) = multiply(sk_c10,sk_c11)
    | spl0_1 ),
    inference(superposition,[],[f83,f104]) ).

fof(f132,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c10,multiply(sk_c6,X0))
    | spl0_1 ),
    inference(superposition,[],[f83,f97]) ).

fof(f83,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c11,X0)) = multiply(sk_c10,X0)
    | spl0_1 ),
    inference(superposition,[],[f3,f78]) ).

fof(f131,plain,
    ( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c10,multiply(sk_c10,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f128]) ).

fof(f128,plain,
    ( sk_c11 = multiply(sk_c10,sk_c10)
    | spl0_1 ),
    inference(superposition,[],[f99,f79]) ).

fof(f99,plain,
    ( ! [X0] : multiply(sk_c10,multiply(sk_c9,X0)) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f92,f1]) ).

fof(f92,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c9,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f73]) ).

fof(f127,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c10,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f108]) ).

fof(f108,plain,
    ( sk_c8 = multiply(sk_c8,sk_c10)
    | spl0_1 ),
    inference(superposition,[],[f98,f77]) ).

fof(f57,plain,
    ! [X3,X11,X8,X6,X9,X5] :
      ( sk_c10 != inverse(X11)
      | sk_c11 != inverse(X8)
      | sk_c11 != inverse(X5)
      | sk_c11 != inverse(X3)
      | sk_c10 != multiply(inverse(X9),sk_c11)
      | sk_c10 != multiply(X11,sk_c11)
      | sk_c10 != multiply(sk_c11,multiply(X5,sk_c11))
      | sk_c10 != multiply(X9,inverse(X9))
      | sk_c11 != multiply(X8,sk_c10)
      | sk_c11 != multiply(inverse(X6),sk_c10)
      | sk_c11 != multiply(X3,sk_c10)
      | sk_c11 != multiply(X6,inverse(X6)) ),
    inference(equality_resolution,[],[f56]) ).

fof(f56,plain,
    ! [X3,X11,X8,X6,X9,X4,X5] :
      ( sk_c10 != inverse(X11)
      | sk_c11 != inverse(X8)
      | sk_c11 != inverse(X5)
      | sk_c11 != inverse(X3)
      | sk_c10 != multiply(inverse(X9),sk_c11)
      | sk_c10 != multiply(X11,sk_c11)
      | sk_c10 != multiply(sk_c11,X4)
      | sk_c10 != multiply(X9,inverse(X9))
      | sk_c11 != multiply(X8,sk_c10)
      | sk_c11 != multiply(inverse(X6),sk_c10)
      | sk_c11 != multiply(X3,sk_c10)
      | sk_c11 != multiply(X6,inverse(X6))
      | multiply(X5,sk_c11) != X4 ),
    inference(equality_resolution,[],[f55]) ).

fof(f55,plain,
    ! [X3,X11,X8,X6,X9,X7,X4,X5] :
      ( sk_c10 != inverse(X11)
      | sk_c11 != inverse(X8)
      | sk_c11 != inverse(X5)
      | sk_c11 != inverse(X3)
      | inverse(X6) != X7
      | sk_c10 != multiply(inverse(X9),sk_c11)
      | sk_c10 != multiply(X11,sk_c11)
      | sk_c10 != multiply(sk_c11,X4)
      | sk_c10 != multiply(X9,inverse(X9))
      | sk_c11 != multiply(X8,sk_c10)
      | sk_c11 != multiply(X7,sk_c10)
      | sk_c11 != multiply(X3,sk_c10)
      | sk_c11 != multiply(X6,X7)
      | multiply(X5,sk_c11) != X4 ),
    inference(equality_resolution,[],[f54]) ).

fof(f54,axiom,
    ! [X3,X10,X11,X8,X6,X9,X7,X4,X5] :
      ( sk_c10 != inverse(X11)
      | sk_c11 != inverse(X8)
      | sk_c11 != inverse(X5)
      | sk_c11 != inverse(X3)
      | inverse(X9) != X10
      | inverse(X6) != X7
      | sk_c10 != multiply(X10,sk_c11)
      | sk_c10 != multiply(X11,sk_c11)
      | sk_c10 != multiply(sk_c11,X4)
      | sk_c10 != multiply(X9,X10)
      | sk_c11 != multiply(X8,sk_c10)
      | sk_c11 != multiply(X7,sk_c10)
      | sk_c11 != multiply(X3,sk_c10)
      | sk_c11 != multiply(X6,X7)
      | multiply(X5,sk_c11) != X4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_51) ).

fof(f98,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f90,f1]) ).

fof(f90,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c7,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f71]) ).

fof(f107,plain,
    ( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c11,multiply(sk_c11,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f104]) ).

fof(f91,plain,
    ( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c7,multiply(sk_c8,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f77]) ).

fof(f88,plain,
    ( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c6,multiply(sk_c10,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f76]) ).

fof(f87,plain,
    ( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c5,multiply(sk_c10,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f75]) ).

fof(f79,plain,
    ( sk_c10 = multiply(sk_c9,sk_c11)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f13,f60]) ).

fof(f78,plain,
    ( sk_c10 = multiply(sk_c8,sk_c11)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f11,f60]) ).

fof(f77,plain,
    ( sk_c10 = multiply(sk_c7,sk_c8)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f9,f60]) ).

fof(f75,plain,
    ( sk_c11 = multiply(sk_c5,sk_c10)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f6,f60]) ).

fof(f73,plain,
    ( identity = multiply(sk_c10,sk_c9)
    | spl0_1 ),
    inference(superposition,[],[f2,f72]) ).

fof(f71,plain,
    ( identity = multiply(sk_c8,sk_c7)
    | spl0_1 ),
    inference(superposition,[],[f2,f70]) ).

fof(f70,plain,
    ( sk_c8 = inverse(sk_c7)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f10,f60]) ).

fof(f5,axiom,
    ( sk_c5 = inverse(sk_c4)
    | inverse(sk_c1) = sk_c11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).

fof(f3704,plain,
    ( identity != sk_c8
    | spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(forward_demodulation,[],[f3703,f1065]) ).

fof(f3703,plain,
    ( sk_c8 != inverse(identity)
    | spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(forward_demodulation,[],[f739,f291]) ).

fof(f291,plain,
    ( identity = sk_c7
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f264,f203]) ).

fof(f203,plain,
    ( identity = multiply(sk_c11,sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f71,f197]) ).

fof(f197,plain,
    ( sk_c11 = sk_c8
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f196,f183]) ).

fof(f196,plain,
    ( sk_c10 = sk_c8
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f190,f78]) ).

fof(f190,plain,
    ( sk_c8 = multiply(sk_c8,sk_c11)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f108,f183]) ).

fof(f264,plain,
    ( ! [X0] : multiply(sk_c11,X0) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f258,f1]) ).

fof(f258,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(identity,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f202]) ).

fof(f202,plain,
    ( identity = multiply(sk_c11,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f195,f69]) ).

fof(f195,plain,
    ( identity = multiply(sk_c11,multiply(sk_c11,sk_c6))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f154,f183]) ).

fof(f3702,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_11
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f3701]) ).

fof(f3701,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_11
    | spl0_13 ),
    inference(global_subsumption,[],[f3700,f1,f2,f5,f69,f70,f71,f73,f74,f75,f76,f77,f78,f79,f3,f87,f88,f91,f97,f104,f107,f98,f57,f108,f127,f99,f128,f131,f83,f132,f136,f139,f134,f142,f84,f143,f146,f148,f152,f151,f153,f145,f156,f154,f159,f86,f179,f10,f47,f93,f523,f519,f20,f739,f788,f791,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f701,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f17,f18,f22,f14,f16,f21,f23,f15,f1094,f2128,f2141,f19,f50,f40,f35,f45,f37,f30,f25,f72,f12,f3624,f4,f3625,f6,f3626,f9,f3627,f11,f3628,f13,f3629,f31,f33,f32,f29,f42,f3635,f34,f3636,f36,f3637,f38,f3638,f39,f3639,f41,f3640,f43,f3641,f53,f3642,f51,f3643,f49,f3644,f48,f3645,f46,f3646,f44,f3647,f52,f26,f3649,f24,f3650,f28,f3651,f68,f7,f8,f3653,f27,f60]) ).

fof(f3700,plain,
    ( sk_c11 = inverse(sk_c2)
    | spl0_1
    | ~ spl0_2
    | spl0_13 ),
    inference(subsumption_resolution,[],[f3699,f1224]) ).

fof(f1224,plain,
    ( identity != sk_c11
    | spl0_13 ),
    inference(avatar_component_clause,[],[f1223]) ).

fof(f3699,plain,
    ( identity = sk_c11
    | sk_c11 = inverse(sk_c2)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f3698,f197]) ).

fof(f3698,plain,
    ( identity = sk_c8
    | sk_c11 = inverse(sk_c2)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f3697,f1065]) ).

fof(f3697,plain,
    ( sk_c8 = inverse(identity)
    | sk_c11 = inverse(sk_c2)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f50,f291]) ).

fof(f3696,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_11
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f3695]) ).

fof(f3695,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_11
    | spl0_13 ),
    inference(global_subsumption,[],[f3694,f1,f2,f5,f69,f70,f71,f73,f74,f75,f76,f77,f78,f79,f3,f87,f88,f91,f97,f104,f107,f98,f57,f108,f127,f99,f128,f131,f83,f132,f136,f139,f134,f142,f84,f143,f146,f148,f152,f151,f153,f145,f156,f154,f159,f86,f179,f10,f47,f93,f523,f519,f20,f739,f788,f791,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f701,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f17,f18,f22,f14,f16,f21,f23,f15,f1094,f2128,f2141,f19,f50,f40,f35,f45,f37,f30,f25,f72,f12,f3624,f4,f3625,f6,f3626,f9,f3627,f11,f3628,f13,f3629,f31,f33,f32,f29,f42,f3635,f34,f3636,f36,f3637,f38,f3638,f39,f3639,f41,f3640,f43,f3641,f53,f3642,f51,f3643,f49,f3644,f48,f3645,f46,f3646,f44,f3647,f52,f26,f3649,f24,f3650,f28,f3651,f68,f7,f8,f3653,f27,f60]) ).

fof(f3694,plain,
    ( sk_c3 = multiply(sk_c2,sk_c11)
    | spl0_1
    | ~ spl0_2
    | spl0_13 ),
    inference(subsumption_resolution,[],[f3693,f1224]) ).

fof(f3693,plain,
    ( identity = sk_c11
    | sk_c3 = multiply(sk_c2,sk_c11)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f3692,f197]) ).

fof(f3692,plain,
    ( identity = sk_c8
    | sk_c3 = multiply(sk_c2,sk_c11)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f3691,f1065]) ).

fof(f3691,plain,
    ( sk_c8 = inverse(identity)
    | sk_c3 = multiply(sk_c2,sk_c11)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f40,f291]) ).

fof(f3690,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_11
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f3689]) ).

fof(f3689,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_11
    | spl0_13 ),
    inference(global_subsumption,[],[f3688,f1,f2,f5,f69,f70,f71,f73,f74,f75,f76,f77,f78,f79,f3,f87,f88,f91,f97,f104,f107,f98,f57,f108,f127,f99,f128,f131,f83,f132,f136,f139,f134,f142,f84,f143,f146,f148,f152,f151,f153,f145,f156,f154,f159,f86,f179,f10,f47,f93,f523,f519,f20,f739,f788,f791,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f701,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f17,f18,f22,f14,f16,f21,f23,f15,f1094,f2128,f2141,f19,f50,f40,f35,f45,f37,f30,f25,f72,f12,f3624,f4,f3625,f6,f3626,f9,f3627,f11,f3628,f13,f3629,f31,f33,f32,f29,f42,f3635,f34,f3636,f36,f3637,f38,f3638,f39,f3639,f41,f3640,f43,f3641,f53,f3642,f51,f3643,f49,f3644,f48,f3645,f46,f3646,f44,f3647,f52,f26,f3649,f24,f3650,f28,f3651,f68,f7,f8,f3653,f27,f60]) ).

fof(f3688,plain,
    ( sk_c11 = multiply(sk_c11,sk_c3)
    | spl0_1
    | ~ spl0_2
    | spl0_13 ),
    inference(forward_demodulation,[],[f3687,f183]) ).

fof(f3687,plain,
    ( sk_c10 = multiply(sk_c11,sk_c3)
    | spl0_1
    | ~ spl0_2
    | spl0_13 ),
    inference(subsumption_resolution,[],[f3686,f1224]) ).

fof(f3686,plain,
    ( identity = sk_c11
    | sk_c10 = multiply(sk_c11,sk_c3)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f3685,f197]) ).

fof(f3685,plain,
    ( identity = sk_c8
    | sk_c10 = multiply(sk_c11,sk_c3)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f3684,f1065]) ).

fof(f3684,plain,
    ( sk_c8 = inverse(identity)
    | sk_c10 = multiply(sk_c11,sk_c3)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f30,f291]) ).

fof(f3683,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3682]) ).

fof(f3682,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(global_subsumption,[],[f3681,f1,f2,f5,f69,f70,f71,f73,f74,f75,f76,f77,f78,f79,f3,f87,f88,f91,f97,f104,f107,f98,f57,f108,f127,f99,f128,f131,f83,f132,f136,f139,f134,f142,f84,f143,f146,f148,f152,f151,f153,f145,f156,f154,f159,f86,f179,f10,f47,f93,f523,f519,f20,f739,f788,f791,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f701,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f17,f18,f22,f14,f16,f21,f23,f15,f1094,f2128,f2141,f19,f50,f40,f35,f45,f37,f30,f25,f72,f12,f3624,f4,f3625,f6,f3626,f9,f3627,f11,f3628,f13,f3629,f31,f33,f32,f29,f42,f3635,f34,f3636,f36,f3637,f38,f3638,f39,f3639,f41,f3640,f43,f3641,f53,f3642,f51,f3643,f49,f3644,f48,f3645,f46,f3646,f44,f3647,f52,f26,f3649,f24,f3650,f28,f3651,f68,f7,f8,f3653,f27,f60]) ).

fof(f3681,plain,
    ( identity = sk_c8
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f3680,f1065]) ).

fof(f3680,plain,
    ( sk_c8 = inverse(identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f3679,f291]) ).

fof(f3679,plain,
    ( sk_c8 = inverse(sk_c7)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f10,f60]) ).

fof(f3678,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3677]) ).

fof(f3677,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(global_subsumption,[],[f3676,f1,f2,f5,f69,f70,f71,f73,f74,f75,f76,f77,f78,f79,f3,f87,f88,f91,f97,f104,f107,f98,f57,f108,f127,f99,f128,f131,f83,f132,f136,f139,f134,f142,f84,f143,f146,f148,f152,f151,f153,f145,f156,f154,f159,f86,f179,f10,f47,f93,f523,f519,f20,f739,f788,f791,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f701,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f17,f18,f22,f14,f16,f21,f23,f15,f1094,f2128,f2141,f19,f50,f40,f35,f45,f37,f30,f25,f72,f12,f3624,f4,f3625,f6,f3626,f9,f3627,f11,f3628,f13,f3629,f31,f33,f32,f29,f42,f3635,f34,f3636,f36,f3637,f38,f3638,f39,f3639,f41,f3640,f43,f3641,f53,f3642,f51,f3643,f49,f3644,f48,f3645,f46,f3646,f44,f3647,f52,f26,f3649,f24,f3650,f28,f3651,f68,f7,f8,f3653,f27,f60]) ).

fof(f3676,plain,
    ( identity = sk_c8
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f3675,f1065]) ).

fof(f3675,plain,
    ( sk_c8 = inverse(identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f70,f291]) ).

fof(f3672,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_11
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f3671]) ).

fof(f3671,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_11
    | spl0_13 ),
    inference(subsumption_resolution,[],[f3666,f1224]) ).

fof(f3666,plain,
    ( identity = sk_c11
    | spl0_1
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(superposition,[],[f197,f3664]) ).

fof(f3664,plain,
    ( identity = sk_c8
    | spl0_1
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3662,f1065]) ).

fof(f3662,plain,
    ( sk_c8 = inverse(identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(superposition,[],[f740,f291]) ).

fof(f740,plain,
    ( sk_c8 = inverse(sk_c7)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f738]) ).

fof(f3670,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_11
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f3669]) ).

fof(f3669,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_11
    | spl0_13 ),
    inference(subsumption_resolution,[],[f3665,f1224]) ).

fof(f3665,plain,
    ( identity = sk_c11
    | spl0_1
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(superposition,[],[f3664,f197]) ).

fof(f3623,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f3622]) ).

fof(f3622,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f3621,f1065]) ).

fof(f3621,plain,
    ( identity != inverse(identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f3540,f3559]) ).

fof(f3559,plain,
    ( identity = sk_c1
    | spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f3558,f1225]) ).

fof(f3558,plain,
    ( sk_c1 = sk_c11
    | spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f3552,f1092]) ).

fof(f3552,plain,
    ( sk_c11 = multiply(sk_c1,identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f736,f3537]) ).

fof(f3537,plain,
    ( identity = sk_c10
    | spl0_1
    | ~ spl0_2
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f183,f1225]) ).

fof(f736,plain,
    ( sk_c11 = multiply(sk_c1,sk_c10)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f734]) ).

fof(f734,plain,
    ( spl0_10
  <=> sk_c11 = multiply(sk_c1,sk_c10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f3540,plain,
    ( identity != inverse(sk_c1)
    | spl0_1
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f60,f1225]) ).

fof(f3506,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f3505]) ).

fof(f3505,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f3500,f1323]) ).

fof(f3500,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f3499]) ).

fof(f3499,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f3459,f1088]) ).

fof(f3459,plain,
    ( ! [X5] :
        ( identity != multiply(identity,X5)
        | identity != inverse(X5) )
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2925,f2055]) ).

fof(f2055,plain,
    ( identity = sk_c10
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2054,f1]) ).

fof(f2054,plain,
    ( sk_c10 = multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f745,f1225]) ).

fof(f745,plain,
    ( sk_c10 = multiply(sk_c11,sk_c11)
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f743,f61]) ).

fof(f61,plain,
    ( inverse(sk_c1) = sk_c11
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f59]) ).

fof(f743,plain,
    ( sk_c10 = multiply(inverse(sk_c1),sk_c11)
    | ~ spl0_10 ),
    inference(superposition,[],[f93,f736]) ).

fof(f2925,plain,
    ( ! [X5] :
        ( sk_c10 != multiply(identity,X5)
        | identity != inverse(X5) )
    | ~ spl0_6
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2924,f1092]) ).

fof(f2924,plain,
    ( ! [X5] :
        ( sk_c10 != multiply(identity,multiply(X5,identity))
        | identity != inverse(X5) )
    | ~ spl0_6
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2923,f1225]) ).

fof(f2923,plain,
    ( ! [X5] :
        ( identity != inverse(X5)
        | sk_c10 != multiply(sk_c11,multiply(X5,sk_c11)) )
    | ~ spl0_6
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f122,f1225]) ).

fof(f3503,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f3502]) ).

fof(f3502,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f3501,f1065]) ).

fof(f3501,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f3497]) ).

fof(f3497,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f3459,f1092]) ).

fof(f3453,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f3452]) ).

fof(f3452,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f3451,f1065]) ).

fof(f3451,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f3450,f1247]) ).

fof(f1247,plain,
    ( identity = sk_c1
    | ~ spl0_1
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1232,f2]) ).

fof(f1232,plain,
    ( sk_c1 = multiply(inverse(identity),identity)
    | ~ spl0_1
    | ~ spl0_13 ),
    inference(superposition,[],[f534,f1225]) ).

fof(f534,plain,
    ( sk_c1 = multiply(inverse(sk_c11),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f93,f328]) ).

fof(f328,plain,
    ( identity = multiply(sk_c11,sk_c1)
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f61]) ).

fof(f3450,plain,
    ( identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f3449,f990]) ).

fof(f990,plain,
    ( sk_c1 = inverse(sk_c11)
    | ~ spl0_1 ),
    inference(superposition,[],[f520,f697]) ).

fof(f697,plain,
    ( sk_c1 = multiply(inverse(inverse(inverse(sk_c11))),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f93,f682]) ).

fof(f682,plain,
    ( identity = multiply(inverse(inverse(sk_c11)),sk_c1)
    | ~ spl0_1 ),
    inference(superposition,[],[f93,f534]) ).

fof(f3449,plain,
    ( identity != inverse(inverse(sk_c11))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f3448,f1247]) ).

fof(f3448,plain,
    ( identity != sk_c1
    | identity != inverse(inverse(sk_c11))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f3404,f705]) ).

fof(f705,plain,
    ( sk_c1 = multiply(sk_c1,identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f528,f534]) ).

fof(f528,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c11),X0)
    | ~ spl0_1 ),
    inference(superposition,[],[f93,f330]) ).

fof(f330,plain,
    ( ! [X0] : multiply(sk_c11,multiply(sk_c1,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f329,f1]) ).

fof(f329,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(sk_c1,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f328]) ).

fof(f3404,plain,
    ( identity != multiply(sk_c1,identity)
    | identity != inverse(inverse(sk_c11))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f3375,f528]) ).

fof(f3375,plain,
    ( ! [X11] :
        ( identity != multiply(X11,identity)
        | identity != inverse(X11) )
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f3374,f2055]) ).

fof(f3374,plain,
    ( ! [X11] :
        ( identity != multiply(X11,identity)
        | sk_c10 != inverse(X11) )
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2819,f2055]) ).

fof(f3447,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f3446]) ).

fof(f3446,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f3445,f1323]) ).

fof(f3445,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f3407,f1323]) ).

fof(f3407,plain,
    ( identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f3403]) ).

fof(f3403,plain,
    ( identity != identity
    | identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f3375,f995]) ).

fof(f3444,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f3443]) ).

fof(f3443,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f3408,f1323]) ).

fof(f3408,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f3402]) ).

fof(f3402,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f3375,f519]) ).

fof(f3442,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f3441]) ).

fof(f3441,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f3409,f1323]) ).

fof(f3409,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f3401]) ).

fof(f3401,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f3375,f2]) ).

fof(f3440,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f3439]) ).

fof(f3439,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f3410,f1065]) ).

fof(f3410,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f3400]) ).

fof(f3400,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f3375,f1]) ).

fof(f3438,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f3437]) ).

fof(f3437,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f3436,f1065]) ).

fof(f3436,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f3411,f3248]) ).

fof(f3248,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | spl0_8
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f3241,f1092]) ).

fof(f3241,plain,
    ( identity = multiply(sk_c8,identity)
    | ~ spl0_1
    | spl0_8
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f3152,f2055]) ).

fof(f3152,plain,
    ( sk_c10 = multiply(sk_c8,identity)
    | spl0_8
    | ~ spl0_13 ),
    inference(superposition,[],[f2996,f1225]) ).

fof(f2996,plain,
    ( sk_c10 = multiply(sk_c8,sk_c11)
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f57,f13,f11,f9,f8,f6,f4,f12,f10,f7,f47,f93,f523,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f701,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f17,f18,f22,f14,f16,f21,f23,f15,f1094,f2128,f2141,f25,f30,f29,f19,f37,f45,f35,f40,f42,f34,f36,f38,f39,f41,f43,f53,f335,f31,f33,f27,f28,f2986,f24,f2987,f32,f26,f2989,f50,f52,f2991,f44,f2992,f46,f2993,f48,f2994,f49,f2995,f51]) ).

fof(f2995,plain,
    ( sk_c10 = multiply(sk_c7,sk_c8)
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f57,f13,f11,f9,f8,f6,f4,f12,f10,f7,f47,f93,f523,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f701,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f17,f18,f22,f14,f16,f21,f23,f15,f1094,f2128,f2141,f25,f30,f29,f19,f37,f45,f35,f40,f42,f34,f36,f38,f39,f41,f43,f53,f51,f335,f31,f33,f27,f28,f2986,f24,f2987,f32,f26,f2989,f50,f52,f2991,f44,f2992,f46,f2993,f48,f2994,f49]) ).

fof(f2994,plain,
    ( sk_c11 = multiply(sk_c6,sk_c10)
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f57,f13,f11,f9,f8,f6,f4,f12,f10,f7,f47,f93,f523,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f701,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f17,f18,f22,f14,f16,f21,f23,f15,f1094,f2128,f2141,f25,f30,f29,f19,f37,f45,f35,f40,f42,f34,f36,f38,f39,f41,f43,f53,f51,f49,f335,f31,f33,f27,f28,f2986,f24,f2987,f32,f26,f2989,f50,f52,f2991,f44,f2992,f46,f2993,f48]) ).

fof(f2993,plain,
    ( sk_c11 = multiply(sk_c5,sk_c10)
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f57,f13,f11,f9,f8,f6,f4,f12,f10,f7,f47,f93,f523,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f701,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f17,f18,f22,f14,f16,f21,f23,f15,f1094,f2128,f2141,f25,f30,f29,f19,f37,f45,f35,f40,f42,f34,f36,f38,f39,f41,f43,f53,f51,f49,f48,f335,f31,f33,f27,f28,f2986,f24,f2987,f32,f26,f2989,f50,f52,f2991,f44,f2992,f46]) ).

fof(f2992,plain,
    ( sk_c11 = multiply(sk_c4,sk_c5)
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f57,f13,f11,f9,f8,f6,f4,f12,f10,f7,f47,f93,f523,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f701,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f17,f18,f22,f14,f16,f21,f23,f15,f1094,f2128,f2141,f25,f30,f29,f19,f37,f45,f35,f40,f42,f34,f36,f38,f39,f41,f43,f53,f51,f49,f48,f46,f335,f31,f33,f27,f28,f2986,f24,f2987,f32,f26,f2989,f50,f52,f2991,f44]) ).

fof(f2991,plain,
    ( sk_c10 = inverse(sk_c9)
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f57,f13,f11,f9,f8,f6,f4,f12,f10,f7,f47,f93,f523,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f701,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f17,f18,f22,f14,f16,f21,f23,f15,f1094,f2128,f2141,f25,f30,f29,f19,f37,f45,f35,f40,f42,f34,f36,f38,f39,f41,f43,f53,f51,f49,f48,f46,f44,f335,f31,f33,f27,f28,f2986,f24,f2987,f32,f26,f2989,f50,f52]) ).

fof(f2989,plain,
    ( sk_c11 = multiply(sk_c5,sk_c10)
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f57,f13,f11,f9,f8,f6,f4,f12,f10,f7,f47,f93,f523,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f701,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f17,f18,f22,f14,f16,f21,f23,f15,f1094,f2128,f2141,f25,f30,f29,f19,f37,f45,f35,f40,f42,f34,f36,f38,f39,f41,f43,f53,f51,f49,f48,f46,f44,f52,f50,f335,f31,f33,f27,f28,f2986,f24,f2987,f32,f26]) ).

fof(f2987,plain,
    ( sk_c11 = multiply(sk_c4,sk_c5)
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f57,f13,f11,f9,f8,f6,f4,f12,f10,f7,f47,f93,f523,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f701,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f17,f18,f22,f14,f16,f21,f23,f15,f1094,f2128,f2141,f25,f30,f29,f19,f37,f45,f35,f40,f42,f34,f36,f38,f39,f41,f43,f53,f51,f49,f48,f46,f44,f52,f50,f26,f32,f335,f31,f33,f27,f28,f2986,f24]) ).

fof(f2986,plain,
    ( sk_c11 = multiply(sk_c6,sk_c10)
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f57,f13,f11,f9,f8,f6,f4,f12,f10,f7,f47,f93,f523,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f701,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f17,f18,f22,f14,f16,f21,f23,f15,f1094,f2128,f2141,f25,f30,f29,f19,f37,f45,f35,f40,f42,f34,f36,f38,f39,f41,f43,f53,f51,f49,f48,f46,f44,f52,f50,f26,f32,f24,f335,f31,f33,f27,f28]) ).

fof(f335,plain,
    ( sk_c11 != inverse(sk_c2)
    | spl0_8 ),
    inference(avatar_component_clause,[],[f334]) ).

fof(f334,plain,
    ( spl0_8
  <=> sk_c11 = inverse(sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f3411,plain,
    ( identity != inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f3399]) ).

fof(f3399,plain,
    ( identity != identity
    | identity != inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f3375,f3241]) ).

fof(f3435,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f3434]) ).

fof(f3434,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f3433,f1065]) ).

fof(f3433,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f3412,f3217]) ).

fof(f3217,plain,
    ( identity = sk_c5
    | ~ spl0_1
    | ~ spl0_10
    | spl0_12
    | ~ spl0_13 ),
    inference(superposition,[],[f2564,f1092]) ).

fof(f2564,plain,
    ( identity = multiply(sk_c5,identity)
    | ~ spl0_1
    | ~ spl0_10
    | spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1622,f1225]) ).

fof(f1622,plain,
    ( sk_c11 = multiply(sk_c5,identity)
    | ~ spl0_1
    | ~ spl0_10
    | spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1621,f1253]) ).

fof(f1253,plain,
    ( identity = sk_c10
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1239,f1]) ).

fof(f1239,plain,
    ( sk_c10 = multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f745,f1225]) ).

fof(f1621,plain,
    ( sk_c11 = multiply(sk_c5,sk_c10)
    | ~ spl0_1
    | ~ spl0_10
    | spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f1620,f1220]) ).

fof(f1220,plain,
    ( identity != sk_c3
    | spl0_12 ),
    inference(avatar_component_clause,[],[f1219]) ).

fof(f1219,plain,
    ( spl0_12
  <=> identity = sk_c3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f1620,plain,
    ( identity = sk_c3
    | sk_c11 = multiply(sk_c5,sk_c10)
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1619,f1253]) ).

fof(f1619,plain,
    ( sk_c10 = sk_c3
    | sk_c11 = multiply(sk_c5,sk_c10)
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1618,f1]) ).

fof(f1618,plain,
    ( sk_c10 = multiply(identity,sk_c3)
    | sk_c11 = multiply(sk_c5,sk_c10)
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f26,f1225]) ).

fof(f3412,plain,
    ( identity != inverse(sk_c5)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | spl0_12
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f3398]) ).

fof(f3398,plain,
    ( identity != identity
    | identity != inverse(sk_c5)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | spl0_12
    | ~ spl0_13 ),
    inference(superposition,[],[f3375,f2564]) ).

fof(f3432,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f3431]) ).

fof(f3431,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f3430,f1065]) ).

fof(f3430,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f3429,f1225]) ).

fof(f3429,plain,
    ( identity != inverse(sk_c11)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f3397,f1225]) ).

fof(f3397,plain,
    ( identity != sk_c11
    | identity != inverse(sk_c11)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f3375,f713]) ).

fof(f713,plain,
    ( sk_c11 = multiply(sk_c11,identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f330,f704]) ).

fof(f704,plain,
    ( identity = multiply(sk_c1,sk_c11)
    | ~ spl0_1 ),
    inference(superposition,[],[f528,f2]) ).

fof(f3428,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f3427]) ).

fof(f3427,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f3426,f1065]) ).

fof(f3426,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f3425,f1247]) ).

fof(f3425,plain,
    ( identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f3396,f1247]) ).

fof(f3396,plain,
    ( identity != sk_c1
    | identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f3375,f705]) ).

fof(f3424,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f3423]) ).

fof(f3423,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f3422,f1065]) ).

fof(f3422,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f3421,f1247]) ).

fof(f3421,plain,
    ( identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f3420,f990]) ).

fof(f3420,plain,
    ( identity != inverse(inverse(sk_c11))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f3395,f1247]) ).

fof(f3395,plain,
    ( identity != sk_c1
    | identity != inverse(inverse(sk_c11))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f3375,f534]) ).

fof(f3418,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f3417]) ).

fof(f3417,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f3416,f1065]) ).

fof(f3416,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f3415,f1247]) ).

fof(f3415,plain,
    ( identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f3414,f990]) ).

fof(f3414,plain,
    ( identity != inverse(inverse(sk_c11))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f3413,f1323]) ).

fof(f3413,plain,
    ( identity != inverse(inverse(inverse(inverse(sk_c11))))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f3393,f1247]) ).

fof(f3393,plain,
    ( identity != sk_c1
    | identity != inverse(inverse(inverse(inverse(sk_c11))))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f3375,f697]) ).

fof(f3368,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f3367]) ).

fof(f3367,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f3366,f1065]) ).

fof(f3366,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f3365,f1247]) ).

fof(f3365,plain,
    ( identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f3364,f990]) ).

fof(f3364,plain,
    ( identity != inverse(inverse(sk_c11))
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f3363,f1247]) ).

fof(f3363,plain,
    ( identity != sk_c1
    | identity != inverse(inverse(sk_c11))
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f3319,f705]) ).

fof(f3319,plain,
    ( identity != multiply(sk_c1,identity)
    | identity != inverse(inverse(sk_c11))
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f3246,f528]) ).

fof(f3246,plain,
    ( ! [X3] :
        ( identity != multiply(X3,identity)
        | identity != inverse(X3) )
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f3245,f1225]) ).

fof(f3245,plain,
    ( ! [X3] :
        ( sk_c11 != multiply(X3,identity)
        | identity != inverse(X3) )
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f3244,f2055]) ).

fof(f3244,plain,
    ( ! [X3] :
        ( identity != inverse(X3)
        | sk_c11 != multiply(X3,sk_c10) )
    | ~ spl0_5
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f119,f1225]) ).

fof(f3362,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f3361]) ).

fof(f3361,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f3360,f1323]) ).

fof(f3360,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f3322,f1323]) ).

fof(f3322,plain,
    ( identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f3318]) ).

fof(f3318,plain,
    ( identity != identity
    | identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f3246,f995]) ).

fof(f3359,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f3358]) ).

fof(f3358,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f3323,f1323]) ).

fof(f3323,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f3317]) ).

fof(f3317,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f3246,f519]) ).

fof(f3357,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f3356]) ).

fof(f3356,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f3324,f1323]) ).

fof(f3324,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f3316]) ).

fof(f3316,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f3246,f2]) ).

fof(f3355,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f3354]) ).

fof(f3354,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f3325,f1065]) ).

fof(f3325,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f3315]) ).

fof(f3315,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f3246,f1]) ).

fof(f3353,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | spl0_8
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f3352]) ).

fof(f3352,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | spl0_8
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f3351,f1065]) ).

fof(f3351,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_5
    | spl0_8
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f3326,f3248]) ).

fof(f3326,plain,
    ( identity != inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_5
    | spl0_8
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f3314]) ).

fof(f3314,plain,
    ( identity != identity
    | identity != inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_5
    | spl0_8
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f3246,f3241]) ).

fof(f3350,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f3349]) ).

fof(f3349,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f3348,f1065]) ).

fof(f3348,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f3327,f3217]) ).

fof(f3327,plain,
    ( identity != inverse(sk_c5)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | spl0_12
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f3313]) ).

fof(f3313,plain,
    ( identity != identity
    | identity != inverse(sk_c5)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | spl0_12
    | ~ spl0_13 ),
    inference(superposition,[],[f3246,f2564]) ).

fof(f3347,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f3346]) ).

fof(f3346,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f3345,f1065]) ).

fof(f3345,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f3344,f1225]) ).

fof(f3344,plain,
    ( identity != inverse(sk_c11)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f3312,f1225]) ).

fof(f3312,plain,
    ( identity != sk_c11
    | identity != inverse(sk_c11)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f3246,f713]) ).

fof(f3343,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f3342]) ).

fof(f3342,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f3341,f1065]) ).

fof(f3341,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f3340,f1247]) ).

fof(f3340,plain,
    ( identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f3311,f1247]) ).

fof(f3311,plain,
    ( identity != sk_c1
    | identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f3246,f705]) ).

fof(f3339,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f3338]) ).

fof(f3338,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f3337,f1065]) ).

fof(f3337,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f3336,f1247]) ).

fof(f3336,plain,
    ( identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f3335,f990]) ).

fof(f3335,plain,
    ( identity != inverse(inverse(sk_c11))
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f3310,f1247]) ).

fof(f3310,plain,
    ( identity != sk_c1
    | identity != inverse(inverse(sk_c11))
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f3246,f534]) ).

fof(f3333,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f3332]) ).

fof(f3332,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f3331,f1065]) ).

fof(f3331,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f3330,f1247]) ).

fof(f3330,plain,
    ( identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f3329,f990]) ).

fof(f3329,plain,
    ( identity != inverse(inverse(sk_c11))
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f3328,f1323]) ).

fof(f3328,plain,
    ( identity != inverse(inverse(inverse(inverse(sk_c11))))
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f3308,f1247]) ).

fof(f3308,plain,
    ( identity != sk_c1
    | identity != inverse(inverse(inverse(inverse(sk_c11))))
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f3246,f697]) ).

fof(f3138,plain,
    ( ~ spl0_2
    | spl0_8
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f3137]) ).

fof(f3137,plain,
    ( $false
    | ~ spl0_2
    | spl0_8
    | spl0_13 ),
    inference(subsumption_resolution,[],[f3136,f1224]) ).

fof(f3136,plain,
    ( identity = sk_c11
    | ~ spl0_2
    | spl0_8 ),
    inference(forward_demodulation,[],[f3134,f2]) ).

fof(f3134,plain,
    ( sk_c11 = multiply(inverse(sk_c5),sk_c5)
    | ~ spl0_2
    | spl0_8 ),
    inference(superposition,[],[f93,f3088]) ).

fof(f3088,plain,
    ( sk_c5 = multiply(sk_c5,sk_c11)
    | ~ spl0_2
    | spl0_8 ),
    inference(forward_demodulation,[],[f3086,f65]) ).

fof(f3086,plain,
    ( sk_c5 = multiply(inverse(sk_c4),sk_c11)
    | spl0_8 ),
    inference(superposition,[],[f93,f2987]) ).

fof(f2981,plain,
    ( spl0_2
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f2980]) ).

fof(f2980,plain,
    ( $false
    | spl0_2
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f57,f13,f11,f9,f8,f6,f4,f12,f10,f7,f47,f93,f523,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f701,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f1789,f1813,f1816,f1817,f1822,f1823,f1824,f1830,f17,f18,f22,f14,f16,f21,f23,f15,f1094,f2128,f2141,f25,f2938,f30,f2939,f29,f2940,f19,f37,f2942,f45,f2943,f35,f2944,f40,f2945,f42,f2946,f34,f2947,f36,f2948,f38,f2949,f39,f2950,f41,f2951,f43,f2952,f53,f2953,f51,f2954,f49,f2955,f48,f2956,f46,f2957,f44,f2958,f52,f2959,f50,f2960,f26,f2961,f32,f2962,f24,f2963,f28,f2964,f27,f2965,f33,f2966,f31,f2967,f335,f64]) ).

fof(f64,plain,
    ( sk_c5 != inverse(sk_c4)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f63]) ).

fof(f2967,plain,
    ( sk_c10 = multiply(sk_c11,sk_c3)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f57,f13,f11,f9,f8,f6,f4,f12,f10,f7,f47,f93,f523,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f701,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f64,f1789,f1813,f1816,f1817,f1822,f1823,f1824,f1830,f17,f18,f22,f14,f16,f21,f23,f15,f1094,f2128,f2141,f25,f2938,f30,f2939,f29,f2940,f19,f37,f2942,f45,f2943,f35,f2944,f40,f2945,f42,f2946,f34,f2947,f36,f2948,f38,f2949,f39,f2950,f41,f2951,f43,f2952,f53,f2953,f51,f2954,f49,f2955,f48,f2956,f46,f2957,f44,f2958,f52,f2959,f50,f2960,f26,f2961,f32,f2962,f24,f2963,f28,f2964,f27,f2965,f33,f2966,f31]) ).

fof(f2966,plain,
    ( sk_c10 = multiply(sk_c11,sk_c3)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f57,f13,f11,f9,f8,f6,f4,f12,f10,f7,f47,f93,f523,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f701,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f31,f64,f1789,f1813,f1816,f1817,f1822,f1823,f1824,f1830,f17,f18,f22,f14,f16,f21,f23,f15,f1094,f2128,f2141,f25,f2938,f30,f2939,f29,f2940,f19,f37,f2942,f45,f2943,f35,f2944,f40,f2945,f42,f2946,f34,f2947,f36,f2948,f38,f2949,f39,f2950,f41,f2951,f43,f2952,f53,f2953,f51,f2954,f49,f2955,f48,f2956,f46,f2957,f44,f2958,f52,f2959,f50,f2960,f26,f2961,f32,f2962,f24,f2963,f28,f2964,f27,f2965,f33]) ).

fof(f2965,plain,
    ( sk_c10 = multiply(sk_c11,sk_c3)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f57,f13,f11,f9,f8,f6,f4,f12,f10,f7,f47,f93,f523,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f701,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f33,f31,f64,f1789,f1813,f1816,f1817,f1822,f1823,f1824,f1830,f17,f18,f22,f14,f16,f21,f23,f15,f1094,f2128,f2141,f25,f2938,f30,f2939,f29,f2940,f19,f37,f2942,f45,f2943,f35,f2944,f40,f2945,f42,f2946,f34,f2947,f36,f2948,f38,f2949,f39,f2950,f41,f2951,f43,f2952,f53,f2953,f51,f2954,f49,f2955,f48,f2956,f46,f2957,f44,f2958,f52,f2959,f50,f2960,f26,f2961,f32,f2962,f24,f2963,f28,f2964,f27]) ).

fof(f2964,plain,
    ( sk_c10 = multiply(sk_c11,sk_c3)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f57,f13,f11,f9,f8,f6,f4,f12,f10,f7,f47,f93,f523,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f701,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f33,f31,f64,f1789,f1813,f1816,f1817,f1822,f1823,f1824,f1830,f17,f27,f18,f22,f14,f16,f21,f23,f15,f1094,f2128,f2141,f25,f2938,f30,f2939,f29,f2940,f19,f37,f2942,f45,f2943,f35,f2944,f40,f2945,f42,f2946,f34,f2947,f36,f2948,f38,f2949,f39,f2950,f41,f2951,f43,f2952,f53,f2953,f51,f2954,f49,f2955,f48,f2956,f46,f2957,f44,f2958,f52,f2959,f50,f2960,f26,f2961,f32,f2962,f24,f2963,f28]) ).

fof(f2963,plain,
    ( sk_c10 = multiply(sk_c11,sk_c3)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f57,f13,f11,f9,f8,f6,f4,f12,f10,f7,f47,f93,f523,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f701,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f33,f31,f64,f1789,f1813,f1816,f1817,f1822,f1823,f1824,f1830,f17,f27,f28,f18,f22,f14,f16,f21,f23,f15,f1094,f2128,f2141,f25,f2938,f30,f2939,f29,f2940,f19,f37,f2942,f45,f2943,f35,f2944,f40,f2945,f42,f2946,f34,f2947,f36,f2948,f38,f2949,f39,f2950,f41,f2951,f43,f2952,f53,f2953,f51,f2954,f49,f2955,f48,f2956,f46,f2957,f44,f2958,f52,f2959,f50,f2960,f26,f2961,f32,f2962,f24]) ).

fof(f2962,plain,
    ( sk_c10 = multiply(sk_c11,sk_c3)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f57,f13,f11,f9,f8,f6,f4,f12,f10,f7,f47,f93,f523,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f701,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f33,f31,f64,f1789,f1813,f1816,f1817,f1822,f1823,f1824,f1830,f17,f27,f28,f18,f24,f22,f14,f16,f21,f23,f15,f1094,f2128,f2141,f25,f2938,f30,f2939,f29,f2940,f19,f37,f2942,f45,f2943,f35,f2944,f40,f2945,f42,f2946,f34,f2947,f36,f2948,f38,f2949,f39,f2950,f41,f2951,f43,f2952,f53,f2953,f51,f2954,f49,f2955,f48,f2956,f46,f2957,f44,f2958,f52,f2959,f50,f2960,f26,f2961,f32]) ).

fof(f2961,plain,
    ( sk_c10 = multiply(sk_c11,sk_c3)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f57,f13,f11,f9,f8,f6,f4,f12,f10,f7,f47,f93,f523,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f701,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f64,f1789,f1813,f1816,f1817,f1822,f1823,f1824,f1830,f17,f27,f28,f18,f24,f22,f14,f16,f21,f23,f15,f1094,f2128,f2141,f25,f2938,f30,f2939,f29,f2940,f19,f37,f2942,f45,f2943,f35,f2944,f40,f2945,f42,f2946,f34,f2947,f36,f2948,f38,f2949,f39,f2950,f41,f2951,f43,f2952,f53,f2953,f51,f2954,f49,f2955,f48,f2956,f46,f2957,f44,f2958,f52,f2959,f50,f2960,f26]) ).

fof(f2960,plain,
    ( sk_c11 = inverse(sk_c2)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f57,f13,f11,f9,f8,f6,f4,f12,f10,f7,f47,f93,f523,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f701,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f64,f1789,f1813,f1816,f1817,f1822,f1823,f1824,f1830,f17,f27,f28,f18,f24,f22,f14,f16,f21,f23,f15,f1094,f2128,f2141,f25,f2938,f30,f2939,f29,f2940,f19,f37,f2942,f45,f2943,f35,f2944,f40,f2945,f42,f2946,f34,f2947,f36,f2948,f38,f2949,f39,f2950,f41,f2951,f43,f2952,f53,f2953,f51,f2954,f49,f2955,f48,f2956,f46,f2957,f44,f2958,f52,f2959,f50]) ).

fof(f2959,plain,
    ( sk_c11 = inverse(sk_c2)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f57,f13,f11,f9,f8,f6,f4,f50,f12,f10,f7,f47,f93,f523,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f701,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f64,f1789,f1813,f1816,f1817,f1822,f1823,f1824,f1830,f17,f27,f28,f18,f24,f22,f14,f16,f21,f23,f15,f1094,f2128,f2141,f25,f2938,f30,f2939,f29,f2940,f19,f37,f2942,f45,f2943,f35,f2944,f40,f2945,f42,f2946,f34,f2947,f36,f2948,f38,f2949,f39,f2950,f41,f2951,f43,f2952,f53,f2953,f51,f2954,f49,f2955,f48,f2956,f46,f2957,f44,f2958,f52]) ).

fof(f2958,plain,
    ( sk_c11 = inverse(sk_c2)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f57,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f47,f93,f523,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f701,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f64,f1789,f1813,f1816,f1817,f1822,f1823,f1824,f1830,f17,f27,f28,f18,f24,f22,f14,f16,f21,f23,f15,f1094,f2128,f2141,f25,f2938,f30,f2939,f29,f2940,f19,f37,f2942,f45,f2943,f35,f2944,f40,f2945,f42,f2946,f34,f2947,f36,f2948,f38,f2949,f39,f2950,f41,f2951,f43,f2952,f53,f2953,f51,f2954,f49,f2955,f48,f2956,f46,f2957,f44]) ).

fof(f2957,plain,
    ( sk_c11 = inverse(sk_c2)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f57,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f47,f93,f523,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f701,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f64,f1789,f1813,f1816,f1817,f1822,f1823,f1824,f1830,f17,f27,f28,f18,f24,f22,f14,f16,f21,f23,f15,f1094,f2128,f2141,f25,f2938,f30,f2939,f29,f2940,f19,f37,f2942,f45,f2943,f35,f2944,f40,f2945,f42,f2946,f34,f2947,f36,f2948,f38,f2949,f39,f2950,f41,f2951,f43,f2952,f53,f2953,f51,f2954,f49,f2955,f48,f2956,f46]) ).

fof(f2956,plain,
    ( sk_c11 = inverse(sk_c2)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f57,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f47,f93,f523,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f701,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f64,f1789,f1813,f1816,f1817,f1822,f1823,f1824,f1830,f17,f27,f28,f18,f24,f22,f14,f16,f21,f23,f15,f1094,f2128,f2141,f25,f2938,f30,f2939,f29,f2940,f19,f37,f2942,f45,f2943,f35,f2944,f40,f2945,f42,f2946,f34,f2947,f36,f2948,f38,f2949,f39,f2950,f41,f2951,f43,f2952,f53,f2953,f51,f2954,f49,f2955,f48]) ).

fof(f2955,plain,
    ( sk_c11 = inverse(sk_c2)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f57,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f47,f93,f523,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f701,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f64,f1789,f1813,f1816,f1817,f1822,f1823,f1824,f1830,f17,f27,f28,f18,f24,f22,f14,f16,f21,f23,f15,f1094,f2128,f2141,f25,f2938,f30,f2939,f29,f2940,f19,f37,f2942,f45,f2943,f35,f2944,f40,f2945,f42,f2946,f34,f2947,f36,f2948,f38,f2949,f39,f2950,f41,f2951,f43,f2952,f53,f2953,f51,f2954,f49]) ).

fof(f2954,plain,
    ( sk_c11 = inverse(sk_c2)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f57,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f47,f93,f523,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f701,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f64,f1789,f1813,f1816,f1817,f1822,f1823,f1824,f1830,f17,f27,f28,f18,f24,f22,f14,f16,f21,f23,f15,f1094,f2128,f2141,f25,f2938,f30,f2939,f29,f2940,f19,f37,f2942,f45,f2943,f35,f2944,f40,f2945,f42,f2946,f34,f2947,f36,f2948,f38,f2949,f39,f2950,f41,f2951,f43,f2952,f53,f2953,f51]) ).

fof(f2953,plain,
    ( sk_c11 = inverse(sk_c2)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f57,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f47,f93,f523,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f701,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f64,f1789,f1813,f1816,f1817,f1822,f1823,f1824,f1830,f17,f27,f28,f18,f24,f22,f14,f16,f21,f23,f15,f1094,f2128,f2141,f25,f2938,f30,f2939,f29,f2940,f19,f37,f2942,f45,f2943,f35,f2944,f40,f2945,f42,f2946,f34,f2947,f36,f2948,f38,f2949,f39,f2950,f41,f2951,f43,f2952,f53]) ).

fof(f2952,plain,
    ( sk_c3 = multiply(sk_c2,sk_c11)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f47,f93,f523,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f701,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f64,f1789,f1813,f1816,f1817,f1822,f1823,f1824,f1830,f17,f27,f28,f18,f24,f22,f14,f16,f21,f23,f15,f1094,f2128,f2141,f25,f2938,f30,f2939,f29,f2940,f19,f37,f2942,f45,f2943,f35,f2944,f40,f2945,f42,f2946,f34,f2947,f36,f2948,f38,f2949,f39,f2950,f41,f2951,f43]) ).

fof(f2951,plain,
    ( sk_c3 = multiply(sk_c2,sk_c11)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f47,f93,f523,f43,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f701,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f64,f1789,f1813,f1816,f1817,f1822,f1823,f1824,f1830,f17,f27,f28,f18,f24,f22,f14,f16,f21,f23,f15,f1094,f2128,f2141,f25,f2938,f30,f2939,f29,f2940,f19,f37,f2942,f45,f2943,f35,f2944,f40,f2945,f42,f2946,f34,f2947,f36,f2948,f38,f2949,f39,f2950,f41]) ).

fof(f2950,plain,
    ( sk_c3 = multiply(sk_c2,sk_c11)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f47,f93,f523,f43,f41,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f701,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f64,f1789,f1813,f1816,f1817,f1822,f1823,f1824,f1830,f17,f27,f28,f18,f24,f22,f14,f16,f21,f23,f15,f1094,f2128,f2141,f25,f2938,f30,f2939,f29,f2940,f19,f37,f2942,f45,f2943,f35,f2944,f40,f2945,f42,f2946,f34,f2947,f36,f2948,f38,f2949,f39]) ).

fof(f2949,plain,
    ( sk_c3 = multiply(sk_c2,sk_c11)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f47,f93,f523,f43,f41,f39,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f701,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f64,f1789,f1813,f1816,f1817,f1822,f1823,f1824,f1830,f17,f27,f28,f18,f24,f22,f14,f16,f21,f23,f15,f1094,f2128,f2141,f25,f2938,f30,f2939,f29,f2940,f19,f37,f2942,f45,f2943,f35,f2944,f40,f2945,f42,f2946,f34,f2947,f36,f2948,f38]) ).

fof(f2948,plain,
    ( sk_c3 = multiply(sk_c2,sk_c11)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f47,f93,f523,f43,f41,f39,f38,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f701,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f64,f1789,f1813,f1816,f1817,f1822,f1823,f1824,f1830,f17,f27,f28,f18,f24,f22,f14,f16,f21,f23,f15,f1094,f2128,f2141,f25,f2938,f30,f2939,f29,f2940,f19,f37,f2942,f45,f2943,f35,f2944,f40,f2945,f42,f2946,f34,f2947,f36]) ).

fof(f2947,plain,
    ( sk_c3 = multiply(sk_c2,sk_c11)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f47,f93,f523,f43,f41,f39,f38,f36,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f701,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f64,f1789,f1813,f1816,f1817,f1822,f1823,f1824,f1830,f17,f27,f28,f18,f24,f22,f14,f16,f21,f23,f15,f1094,f2128,f2141,f25,f2938,f30,f2939,f29,f2940,f19,f37,f2942,f45,f2943,f35,f2944,f40,f2945,f42,f2946,f34]) ).

fof(f2946,plain,
    ( sk_c3 = multiply(sk_c2,sk_c11)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f47,f93,f523,f43,f41,f39,f38,f36,f34,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f701,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f64,f1789,f1813,f1816,f1817,f1822,f1823,f1824,f1830,f17,f27,f28,f18,f24,f22,f14,f16,f21,f23,f15,f1094,f2128,f2141,f25,f2938,f30,f2939,f29,f2940,f19,f37,f2942,f45,f2943,f35,f2944,f40,f2945,f42]) ).

fof(f2945,plain,
    ( sk_c3 = multiply(sk_c2,sk_c11)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f47,f93,f523,f43,f41,f39,f38,f36,f34,f42,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f701,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f64,f1789,f1813,f1816,f1817,f1822,f1823,f1824,f1830,f17,f27,f28,f18,f24,f22,f14,f16,f21,f23,f15,f1094,f2128,f2141,f25,f2938,f30,f2939,f29,f2940,f19,f37,f2942,f45,f2943,f35,f2944,f40]) ).

fof(f2944,plain,
    ( sk_c3 = multiply(sk_c2,sk_c11)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f47,f93,f523,f43,f41,f39,f38,f36,f34,f42,f40,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f701,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f64,f1789,f1813,f1816,f1817,f1822,f1823,f1824,f1830,f17,f27,f28,f18,f24,f22,f14,f16,f21,f23,f15,f1094,f2128,f2141,f25,f2938,f30,f2939,f29,f2940,f19,f37,f2942,f45,f2943,f35]) ).

fof(f2943,plain,
    ( sk_c11 = inverse(sk_c2)
    | spl0_2 ),
    inference(global_subsumption,[],[f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f47,f93,f523,f43,f41,f39,f38,f36,f34,f42,f40,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f701,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f64,f1789,f1813,f1816,f1817,f1822,f1823,f1824,f1830,f17,f27,f28,f18,f24,f22,f14,f16,f21,f23,f15,f1094,f2128,f2141,f25,f2938,f30,f2939,f29,f2940,f19,f37,f2942,f45]) ).

fof(f2942,plain,
    ( sk_c3 = multiply(sk_c2,sk_c11)
    | spl0_2 ),
    inference(global_subsumption,[],[f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f47,f93,f523,f43,f41,f39,f38,f36,f34,f42,f40,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f701,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f64,f1789,f1813,f1816,f1817,f1822,f1823,f1824,f1830,f17,f27,f28,f18,f24,f22,f14,f16,f21,f23,f15,f1094,f2128,f2141,f25,f2938,f30,f2939,f29,f2940,f19,f37]) ).

fof(f2940,plain,
    ( sk_c10 = multiply(sk_c11,sk_c3)
    | spl0_2 ),
    inference(global_subsumption,[],[f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f47,f93,f523,f43,f41,f39,f38,f36,f34,f19,f42,f40,f37,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f701,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f64,f1789,f1813,f1816,f1817,f1822,f1823,f1824,f1830,f17,f27,f28,f18,f24,f22,f14,f16,f21,f23,f15,f1094,f2128,f2141,f25,f2938,f30,f2939,f29]) ).

fof(f2939,plain,
    ( sk_c10 = multiply(sk_c11,sk_c3)
    | spl0_2 ),
    inference(global_subsumption,[],[f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f47,f93,f523,f43,f41,f39,f38,f36,f34,f19,f42,f40,f37,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f29,f701,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f64,f1789,f1813,f1816,f1817,f1822,f1823,f1824,f1830,f17,f27,f28,f18,f24,f22,f14,f16,f21,f23,f15,f1094,f2128,f2141,f25,f2938,f30]) ).

fof(f2938,plain,
    ( sk_c10 = multiply(sk_c11,sk_c3)
    | spl0_2 ),
    inference(global_subsumption,[],[f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f47,f93,f523,f43,f41,f39,f38,f36,f34,f19,f42,f40,f37,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f29,f701,f30,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f64,f1789,f1813,f1816,f1817,f1822,f1823,f1824,f1830,f17,f27,f28,f18,f24,f22,f14,f16,f21,f23,f15,f1094,f2128,f2141,f25]) ).

fof(f1830,plain,
    ( sk_c10 = multiply(sk_c11,sk_c3)
    | spl0_2 ),
    inference(global_subsumption,[],[f45,f35,f25,f15,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f47,f93,f523,f43,f41,f39,f38,f36,f34,f28,f19,f18,f42,f40,f37,f27,f17,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1094,f1102,f1103,f1108,f1110,f1068,f29,f701,f30,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f64,f1789,f1813,f23,f1816,f21,f1817,f16,f1822,f14,f1823,f22,f1824,f24]) ).

fof(f1824,plain,
    ( sk_c11 = multiply(sk_c1,sk_c10)
    | spl0_2 ),
    inference(global_subsumption,[],[f45,f35,f25,f15,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f47,f93,f523,f43,f41,f39,f38,f36,f34,f28,f19,f18,f42,f40,f37,f27,f17,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1094,f1102,f1103,f1108,f1110,f1068,f29,f701,f30,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f64,f1789,f24,f1813,f23,f1816,f21,f1817,f16,f1822,f14,f1823,f22]) ).

fof(f1823,plain,
    ( sk_c11 = multiply(sk_c1,sk_c10)
    | spl0_2 ),
    inference(global_subsumption,[],[f45,f35,f25,f15,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f47,f93,f523,f43,f41,f39,f38,f36,f34,f28,f19,f18,f42,f40,f37,f27,f22,f17,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1094,f1102,f1103,f1108,f1110,f1068,f29,f701,f30,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f64,f1789,f24,f1813,f23,f1816,f21,f1817,f16,f1822,f14]) ).

fof(f1822,plain,
    ( sk_c11 = multiply(sk_c1,sk_c10)
    | spl0_2 ),
    inference(global_subsumption,[],[f45,f35,f25,f15,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f47,f93,f523,f43,f41,f39,f38,f36,f34,f28,f19,f18,f14,f42,f40,f37,f27,f22,f17,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1094,f1102,f1103,f1108,f1110,f1068,f29,f701,f30,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f64,f1789,f24,f1813,f23,f1816,f21,f1817,f16]) ).

fof(f1817,plain,
    ( sk_c11 = multiply(sk_c1,sk_c10)
    | spl0_2 ),
    inference(global_subsumption,[],[f45,f35,f25,f15,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f47,f93,f523,f43,f41,f39,f38,f36,f34,f28,f19,f18,f16,f14,f42,f40,f37,f27,f22,f17,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1094,f1102,f1103,f1108,f1110,f1068,f29,f701,f30,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f64,f1789,f24,f1813,f23,f1816,f21]) ).

fof(f1816,plain,
    ( sk_c11 = multiply(sk_c1,sk_c10)
    | spl0_2 ),
    inference(global_subsumption,[],[f45,f35,f25,f15,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f47,f93,f523,f43,f41,f39,f38,f36,f34,f28,f21,f19,f18,f16,f14,f42,f40,f37,f27,f22,f17,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1094,f1102,f1103,f1108,f1110,f1068,f29,f701,f30,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f64,f1789,f24,f1813,f23]) ).

fof(f1813,plain,
    ( sk_c11 = multiply(sk_c1,sk_c10)
    | spl0_2 ),
    inference(subsumption_resolution,[],[f15,f64]) ).

fof(f1789,plain,
    ( sk_c10 = multiply(sk_c11,sk_c3)
    | spl0_2 ),
    inference(subsumption_resolution,[],[f25,f64]) ).

fof(f2979,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f2978]) ).

fof(f2978,plain,
    ( $false
    | spl0_2
    | ~ spl0_3
    | spl0_8 ),
    inference(global_subsumption,[],[f2977,f1,f2,f5,f3,f57,f13,f11,f9,f8,f6,f4,f12,f10,f7,f47,f93,f523,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f701,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f64,f1789,f1813,f1816,f1817,f1822,f1823,f1824,f1830,f17,f18,f22,f14,f16,f21,f23,f15,f1094,f2128,f2141,f25,f2938,f30,f2939,f29,f2940,f19,f37,f2942,f45,f2943,f35,f2944,f40,f2945,f42,f2946,f34,f2947,f36,f2948,f38,f2949,f39,f2950,f41,f2951,f43,f2952,f53,f2953,f51,f2954,f49,f2955,f48,f2956,f46,f2957,f44,f2958,f52,f2959,f50,f2960,f26,f2961,f32,f2962,f24,f2963,f28,f2964,f27,f2965,f33,f2966,f31,f2967,f335]) ).

fof(f2977,plain,
    ( ! [X6] :
        ( identity != sk_c11
        | sk_c11 != multiply(inverse(X6),sk_c10) )
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f113,f1088]) ).

fof(f113,plain,
    ( ! [X6] :
        ( sk_c11 != multiply(inverse(X6),sk_c10)
        | sk_c11 != multiply(X6,inverse(X6)) )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f112]) ).

fof(f112,plain,
    ( spl0_3
  <=> ! [X6] :
        ( sk_c11 != multiply(inverse(X6),sk_c10)
        | sk_c11 != multiply(X6,inverse(X6)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f2976,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f2975]) ).

fof(f2975,plain,
    ( $false
    | spl0_2
    | ~ spl0_3
    | spl0_8 ),
    inference(global_subsumption,[],[f2974,f1,f2,f5,f3,f57,f13,f11,f9,f8,f6,f4,f12,f10,f7,f47,f93,f523,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f701,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f64,f1789,f1813,f1816,f1817,f1822,f1823,f1824,f1830,f17,f18,f22,f14,f16,f21,f23,f15,f1094,f2128,f2141,f25,f2938,f30,f2939,f29,f2940,f19,f37,f2942,f45,f2943,f35,f2944,f40,f2945,f42,f2946,f34,f2947,f36,f2948,f38,f2949,f39,f2950,f41,f2951,f43,f2952,f53,f2953,f51,f2954,f49,f2955,f48,f2956,f46,f2957,f44,f2958,f52,f2959,f50,f2960,f26,f2961,f32,f2962,f24,f2963,f28,f2964,f27,f2965,f33,f2966,f31,f2967,f335]) ).

fof(f2974,plain,
    ( identity != sk_c11
    | ~ spl0_3 ),
    inference(duplicate_literal_removal,[],[f2973]) ).

fof(f2973,plain,
    ( identity != sk_c11
    | identity != sk_c11
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f164,f1088]) ).

fof(f164,plain,
    ( identity != sk_c11
    | sk_c11 != multiply(sk_c10,inverse(sk_c10))
    | ~ spl0_3 ),
    inference(superposition,[],[f113,f2]) ).

fof(f2972,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f2971]) ).

fof(f2971,plain,
    ( $false
    | spl0_2
    | ~ spl0_3
    | spl0_8 ),
    inference(global_subsumption,[],[f2970,f1,f2,f5,f3,f57,f13,f11,f9,f8,f6,f4,f12,f10,f7,f47,f93,f523,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f701,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f64,f1789,f1813,f1816,f1817,f1822,f1823,f1824,f1830,f17,f18,f22,f14,f16,f21,f23,f15,f1094,f2128,f2141,f25,f2938,f30,f2939,f29,f2940,f19,f37,f2942,f45,f2943,f35,f2944,f40,f2945,f42,f2946,f34,f2947,f36,f2948,f38,f2949,f39,f2950,f41,f2951,f43,f2952,f53,f2953,f51,f2954,f49,f2955,f48,f2956,f46,f2957,f44,f2958,f52,f2959,f50,f2960,f26,f2961,f32,f2962,f24,f2963,f28,f2964,f27,f2965,f33,f2966,f31,f2967,f335]) ).

fof(f2970,plain,
    ( identity != sk_c11
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f175,f1088]) ).

fof(f175,plain,
    ( identity != sk_c11
    | identity != multiply(sk_c10,inverse(sk_c10))
    | ~ spl0_3 ),
    inference(inner_rewriting,[],[f164]) ).

fof(f2969,plain,
    ( spl0_2
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f2968]) ).

fof(f2968,plain,
    ( $false
    | spl0_2
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f57,f13,f11,f9,f8,f6,f4,f12,f10,f7,f47,f93,f523,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f701,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f64,f1789,f1813,f1816,f1817,f1822,f1823,f1824,f1830,f17,f18,f22,f14,f16,f21,f23,f15,f1094,f2128,f2141,f25,f2938,f30,f2939,f29,f2940,f19,f37,f2942,f45,f2943,f35,f2944,f40,f2945,f42,f2946,f34,f2947,f36,f2948,f38,f2949,f39,f2950,f41,f2951,f43,f2952,f53,f2953,f51,f2954,f49,f2955,f48,f2956,f46,f2957,f44,f2958,f52,f2959,f50,f2960,f26,f2961,f32,f2962,f24,f2963,f28,f2964,f27,f2965,f33,f2966,f31,f2967,f335]) ).

fof(f2937,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2936]) ).

fof(f2936,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2931,f1323]) ).

fof(f2931,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f2930]) ).

fof(f2930,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(superposition,[],[f2921,f1088]) ).

fof(f2921,plain,
    ( ! [X5] :
        ( identity != multiply(identity,X5)
        | identity != inverse(X5) )
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2373,f1469]) ).

fof(f1469,plain,
    ( identity = sk_c10
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12 ),
    inference(forward_demodulation,[],[f1468,f1387]) ).

fof(f1387,plain,
    ( identity = multiply(sk_c7,sk_c8)
    | ~ spl0_11 ),
    inference(superposition,[],[f2,f1326]) ).

fof(f1326,plain,
    ( sk_c7 = inverse(sk_c8)
    | ~ spl0_11 ),
    inference(superposition,[],[f1092,f1207]) ).

fof(f1207,plain,
    ( sk_c7 = multiply(inverse(sk_c8),identity)
    | ~ spl0_11 ),
    inference(superposition,[],[f93,f1191]) ).

fof(f1191,plain,
    ( identity = multiply(sk_c8,sk_c7)
    | ~ spl0_11 ),
    inference(superposition,[],[f2,f740]) ).

fof(f1468,plain,
    ( sk_c10 = multiply(sk_c7,sk_c8)
    | ~ spl0_1
    | ~ spl0_8
    | spl0_12 ),
    inference(subsumption_resolution,[],[f1172,f1220]) ).

fof(f1172,plain,
    ( identity = sk_c3
    | sk_c10 = multiply(sk_c7,sk_c8)
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1171,f704]) ).

fof(f1171,plain,
    ( sk_c3 = multiply(sk_c1,sk_c11)
    | sk_c10 = multiply(sk_c7,sk_c8)
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f39,f685]) ).

fof(f685,plain,
    ( sk_c1 = sk_c2
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f545,f534]) ).

fof(f545,plain,
    ( sk_c2 = multiply(inverse(sk_c11),identity)
    | ~ spl0_8 ),
    inference(superposition,[],[f93,f342]) ).

fof(f342,plain,
    ( identity = multiply(sk_c11,sk_c2)
    | ~ spl0_8 ),
    inference(superposition,[],[f2,f336]) ).

fof(f336,plain,
    ( sk_c11 = inverse(sk_c2)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f334]) ).

fof(f2373,plain,
    ( ! [X5] :
        ( sk_c10 != multiply(identity,X5)
        | identity != inverse(X5) )
    | ~ spl0_6
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2372,f1092]) ).

fof(f2372,plain,
    ( ! [X5] :
        ( sk_c10 != multiply(identity,multiply(X5,identity))
        | identity != inverse(X5) )
    | ~ spl0_6
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2371,f1225]) ).

fof(f2371,plain,
    ( ! [X5] :
        ( identity != inverse(X5)
        | sk_c10 != multiply(sk_c11,multiply(X5,sk_c11)) )
    | ~ spl0_6
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f122,f1225]) ).

fof(f2934,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2933]) ).

fof(f2933,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2932,f1065]) ).

fof(f2932,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f2928]) ).

fof(f2928,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(superposition,[],[f2921,f1092]) ).

fof(f2915,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2914]) ).

fof(f2914,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2913,f1065]) ).

fof(f2913,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2912,f1247]) ).

fof(f2912,plain,
    ( identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2911,f990]) ).

fof(f2911,plain,
    ( identity != inverse(inverse(sk_c11))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2910,f1247]) ).

fof(f2910,plain,
    ( identity != sk_c1
    | identity != inverse(inverse(sk_c11))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2874,f705]) ).

fof(f2874,plain,
    ( identity != multiply(sk_c1,identity)
    | identity != inverse(inverse(sk_c11))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(superposition,[],[f2863,f528]) ).

fof(f2863,plain,
    ( ! [X11] :
        ( identity != multiply(X11,identity)
        | identity != inverse(X11) )
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2862,f1469]) ).

fof(f2862,plain,
    ( ! [X11] :
        ( identity != multiply(X11,identity)
        | sk_c10 != inverse(X11) )
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2819,f1469]) ).

fof(f2909,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2908]) ).

fof(f2908,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2907,f1323]) ).

fof(f2907,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2877,f1323]) ).

fof(f2877,plain,
    ( identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f2873]) ).

fof(f2873,plain,
    ( identity != identity
    | identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(superposition,[],[f2863,f995]) ).

fof(f2906,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2905]) ).

fof(f2905,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2878,f1323]) ).

fof(f2878,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f2872]) ).

fof(f2872,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(superposition,[],[f2863,f519]) ).

fof(f2904,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2903]) ).

fof(f2903,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2879,f1323]) ).

fof(f2879,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f2871]) ).

fof(f2871,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(superposition,[],[f2863,f2]) ).

fof(f2902,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2901]) ).

fof(f2901,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2880,f1065]) ).

fof(f2880,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f2870]) ).

fof(f2870,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(superposition,[],[f2863,f1]) ).

fof(f2900,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2899]) ).

fof(f2899,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2898,f1065]) ).

fof(f2898,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2897,f1225]) ).

fof(f2897,plain,
    ( identity != inverse(sk_c11)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2869,f1225]) ).

fof(f2869,plain,
    ( identity != sk_c11
    | identity != inverse(sk_c11)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(superposition,[],[f2863,f713]) ).

fof(f2896,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2895]) ).

fof(f2895,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2894,f1065]) ).

fof(f2894,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2893,f1247]) ).

fof(f2893,plain,
    ( identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2868,f1247]) ).

fof(f2868,plain,
    ( identity != sk_c1
    | identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(superposition,[],[f2863,f705]) ).

fof(f2892,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2891]) ).

fof(f2891,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2890,f1065]) ).

fof(f2890,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2889,f1247]) ).

fof(f2889,plain,
    ( identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2888,f990]) ).

fof(f2888,plain,
    ( identity != inverse(inverse(sk_c11))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2867,f1247]) ).

fof(f2867,plain,
    ( identity != sk_c1
    | identity != inverse(inverse(sk_c11))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(superposition,[],[f2863,f534]) ).

fof(f2886,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2885]) ).

fof(f2885,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2884,f1065]) ).

fof(f2884,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2883,f1247]) ).

fof(f2883,plain,
    ( identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2882,f990]) ).

fof(f2882,plain,
    ( identity != inverse(inverse(sk_c11))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2881,f1323]) ).

fof(f2881,plain,
    ( identity != inverse(inverse(inverse(inverse(sk_c11))))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2865,f1247]) ).

fof(f2865,plain,
    ( identity != sk_c1
    | identity != inverse(inverse(inverse(inverse(sk_c11))))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(superposition,[],[f2863,f697]) ).

fof(f2807,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2806]) ).

fof(f2806,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f2805,f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f61,f328,f330,f47,f336,f342,f344,f93,f523,f545,f529,f43,f41,f39,f38,f36,f34,f19,f42,f40,f37,f534,f684,f685,f682,f519,f528,f707,f710,f711,f704,f716,f717,f705,f713,f706,f20,f739,f697,f788,f791,f797,f801,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f785,f1172,f29,f701,f993,f783,f708,f699,f1186,f30,f990,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f1168,f1170,f1177,f1179,f17,f27,f1899,f1174,f28,f18,f24,f22,f14,f16,f21,f23,f15,f1773,f25,f1094,f2128,f2141,f1184,f2562,f1279,f1220]) ).

fof(f1279,plain,
    ( sk_c10 = inverse(sk_c9)
    | ~ spl0_1
    | ~ spl0_8
    | spl0_12 ),
    inference(subsumption_resolution,[],[f1184,f1220]) ).

fof(f2562,plain,
    ( sk_c10 = inverse(sk_c9)
    | ~ spl0_1
    | ~ spl0_8
    | spl0_12 ),
    inference(global_subsumption,[],[f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f61,f328,f330,f47,f336,f342,f344,f93,f523,f545,f529,f43,f41,f39,f38,f36,f34,f19,f42,f40,f37,f534,f684,f685,f682,f519,f528,f707,f710,f711,f704,f716,f717,f705,f713,f706,f20,f697,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f785,f1172,f29,f701,f993,f783,f708,f699,f1186,f30,f990,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f1279,f1220,f1168,f1170,f1177,f1179,f17,f27,f1899,f1174,f28,f18,f24,f22,f14,f16,f21,f23,f15,f1773,f25,f1094,f2128,f2141,f1184]) ).

fof(f1184,plain,
    ( identity = sk_c3
    | sk_c10 = inverse(sk_c9)
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1183,f704]) ).

fof(f1183,plain,
    ( sk_c3 = multiply(sk_c1,sk_c11)
    | sk_c10 = inverse(sk_c9)
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f42,f685]) ).

fof(f1773,plain,
    ( identity = sk_c3
    | sk_c5 = inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1772,f704]) ).

fof(f1772,plain,
    ( sk_c3 = multiply(sk_c1,sk_c11)
    | sk_c5 = inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f35,f685]) ).

fof(f1174,plain,
    ( identity = sk_c3
    | sk_c11 = multiply(sk_c6,sk_c10)
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1173,f704]) ).

fof(f1173,plain,
    ( sk_c3 = multiply(sk_c1,sk_c11)
    | sk_c11 = multiply(sk_c6,sk_c10)
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f38,f685]) ).

fof(f1899,plain,
    ( identity = sk_c3
    | sk_c11 = inverse(sk_c6)
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1898,f704]) ).

fof(f1898,plain,
    ( sk_c3 = multiply(sk_c1,sk_c11)
    | sk_c11 = inverse(sk_c6)
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f37,f685]) ).

fof(f1179,plain,
    ( identity = sk_c3
    | sk_c11 = multiply(sk_c4,sk_c5)
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1178,f704]) ).

fof(f1178,plain,
    ( sk_c3 = multiply(sk_c1,sk_c11)
    | sk_c11 = multiply(sk_c4,sk_c5)
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f34,f685]) ).

fof(f1177,plain,
    ( identity = sk_c3
    | sk_c11 = multiply(sk_c5,sk_c10)
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1176,f704]) ).

fof(f1176,plain,
    ( sk_c3 = multiply(sk_c1,sk_c11)
    | sk_c11 = multiply(sk_c5,sk_c10)
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f36,f685]) ).

fof(f1170,plain,
    ( identity = sk_c3
    | sk_c10 = multiply(sk_c8,sk_c11)
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1169,f704]) ).

fof(f1169,plain,
    ( sk_c3 = multiply(sk_c1,sk_c11)
    | sk_c10 = multiply(sk_c8,sk_c11)
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f41,f685]) ).

fof(f1168,plain,
    ( identity = sk_c3
    | sk_c10 = multiply(sk_c9,sk_c11)
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1167,f704]) ).

fof(f1167,plain,
    ( sk_c3 = multiply(sk_c1,sk_c11)
    | sk_c10 = multiply(sk_c9,sk_c11)
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f43,f685]) ).

fof(f1186,plain,
    ( identity = sk_c3
    | sk_c8 = inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1185,f704]) ).

fof(f1185,plain,
    ( sk_c3 = multiply(sk_c1,sk_c11)
    | sk_c8 = inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f40,f685]) ).

fof(f699,plain,
    ( ! [X0] : multiply(inverse(inverse(sk_c11)),multiply(sk_c1,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f698,f1]) ).

fof(f698,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(sk_c11)),multiply(sk_c1,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f682]) ).

fof(f708,plain,
    ( ! [X0] : multiply(inverse(inverse(sk_c11)),multiply(sk_c1,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f93,f528]) ).

fof(f783,plain,
    ( identity = multiply(inverse(inverse(inverse(inverse(sk_c11)))),sk_c1)
    | ~ spl0_1 ),
    inference(superposition,[],[f93,f697]) ).

fof(f993,plain,
    ( sk_c1 = inverse(sk_c11)
    | ~ spl0_1 ),
    inference(superposition,[],[f697,f520]) ).

fof(f785,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(inverse(inverse(sk_c11))),X0)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f784,f1]) ).

fof(f784,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(inverse(inverse(sk_c11))),multiply(identity,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f697]) ).

fof(f801,plain,
    ( sk_c11 = sk_c10
    | ~ spl0_1
    | ~ spl0_8
    | spl0_11 ),
    inference(forward_demodulation,[],[f800,f713]) ).

fof(f800,plain,
    ( sk_c10 = multiply(sk_c11,identity)
    | ~ spl0_1
    | ~ spl0_8
    | spl0_11 ),
    inference(superposition,[],[f788,f797]) ).

fof(f797,plain,
    ( identity = sk_c3
    | ~ spl0_1
    | ~ spl0_8
    | spl0_11 ),
    inference(forward_demodulation,[],[f796,f704]) ).

fof(f796,plain,
    ( sk_c3 = multiply(sk_c1,sk_c11)
    | ~ spl0_1
    | ~ spl0_8
    | spl0_11 ),
    inference(forward_demodulation,[],[f795,f685]) ).

fof(f795,plain,
    ( sk_c3 = multiply(sk_c2,sk_c11)
    | spl0_11 ),
    inference(subsumption_resolution,[],[f40,f739]) ).

fof(f706,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c11,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f528,f93]) ).

fof(f717,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c11,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f715,f1]) ).

fof(f715,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c1,multiply(sk_c11,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f704]) ).

fof(f716,plain,
    ( sk_c11 = multiply(sk_c11,identity)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f714,f61]) ).

fof(f714,plain,
    ( sk_c11 = multiply(inverse(sk_c1),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f93,f704]) ).

fof(f711,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c11,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f93,f528]) ).

fof(f710,plain,
    ( sk_c1 = multiply(sk_c1,identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f534,f528]) ).

fof(f707,plain,
    ( identity = multiply(sk_c1,sk_c11)
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f528]) ).

fof(f684,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c11),X0)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f683,f1]) ).

fof(f683,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c11),multiply(identity,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f534]) ).

fof(f529,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(sk_c11),X0)
    | ~ spl0_8 ),
    inference(superposition,[],[f93,f344]) ).

fof(f344,plain,
    ( ! [X0] : multiply(sk_c11,multiply(sk_c2,X0)) = X0
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f343,f1]) ).

fof(f343,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(sk_c2,X0))
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f342]) ).

fof(f2805,plain,
    ( identity != inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f739,f1438]) ).

fof(f1438,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_12
    | ~ spl0_13 ),
    inference(superposition,[],[f1437,f1092]) ).

fof(f1437,plain,
    ( identity = multiply(sk_c8,identity)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1436,f1253]) ).

fof(f1436,plain,
    ( sk_c10 = multiply(sk_c8,identity)
    | ~ spl0_1
    | ~ spl0_8
    | spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1435,f1225]) ).

fof(f1435,plain,
    ( sk_c10 = multiply(sk_c8,sk_c11)
    | ~ spl0_1
    | ~ spl0_8
    | spl0_12 ),
    inference(subsumption_resolution,[],[f1170,f1220]) ).

fof(f2804,plain,
    ( ~ spl0_1
    | ~ spl0_10
    | spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2803]) ).

fof(f2803,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_10
    | spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2802,f1220]) ).

fof(f2802,plain,
    ( identity = sk_c3
    | ~ spl0_1
    | ~ spl0_10
    | spl0_11
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f793,f1225]) ).

fof(f793,plain,
    ( sk_c11 = sk_c3
    | ~ spl0_1
    | ~ spl0_10
    | spl0_11 ),
    inference(forward_demodulation,[],[f790,f747]) ).

fof(f747,plain,
    ( sk_c11 = multiply(inverse(sk_c11),sk_c10)
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(superposition,[],[f93,f745]) ).

fof(f790,plain,
    ( sk_c3 = multiply(inverse(sk_c11),sk_c10)
    | spl0_11 ),
    inference(superposition,[],[f93,f788]) ).

fof(f2801,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2800]) ).

fof(f2800,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8
    | spl0_11
    | spl0_12 ),
    inference(subsumption_resolution,[],[f797,f1220]) ).

fof(f2799,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2798]) ).

fof(f2798,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8
    | spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f2797,f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f61,f328,f330,f47,f336,f342,f344,f93,f523,f545,f529,f43,f41,f39,f38,f36,f34,f19,f42,f40,f37,f534,f684,f685,f682,f519,f528,f707,f710,f711,f704,f716,f717,f705,f713,f706,f20,f739,f697,f788,f791,f797,f801,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f785,f1172,f29,f701,f993,f783,f708,f699,f1186,f30,f990,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f1168,f1170,f1177,f1179,f17,f27,f1899,f1174,f28,f18,f24,f22,f14,f16,f21,f23,f15,f1773,f25,f1094,f2128,f2141,f1184,f2562,f1279,f1220]) ).

fof(f2797,plain,
    ( identity = sk_c10
    | ~ spl0_1
    | ~ spl0_8
    | spl0_11
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f801,f1225]) ).

fof(f2796,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2795]) ).

fof(f2795,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f830,f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f61,f328,f330,f47,f336,f342,f344,f93,f523,f545,f529,f43,f41,f39,f38,f36,f34,f19,f42,f40,f37,f534,f684,f685,f682,f519,f528,f707,f710,f711,f704,f716,f717,f705,f713,f706,f20,f739,f697,f788,f791,f797,f801,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f785,f1172,f29,f701,f993,f783,f708,f699,f1186,f30,f990,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f1168,f1170,f1177,f1179,f17,f27,f1899,f1174,f28,f18,f24,f22,f14,f16,f21,f23,f15,f1773,f25,f1094,f2128,f2141,f1184,f2562,f1279,f1220]) ).

fof(f830,plain,
    ( identity = sk_c10
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(forward_demodulation,[],[f819,f1]) ).

fof(f819,plain,
    ( sk_c10 = multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(superposition,[],[f745,f806]) ).

fof(f806,plain,
    ( identity = sk_c11
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(forward_demodulation,[],[f804,f704]) ).

fof(f804,plain,
    ( sk_c11 = multiply(sk_c1,sk_c11)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(superposition,[],[f736,f801]) ).

fof(f2794,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2793]) ).

fof(f2793,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f2792,f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f61,f328,f330,f47,f336,f342,f344,f93,f523,f545,f529,f43,f41,f39,f38,f36,f34,f19,f42,f40,f37,f534,f684,f685,f682,f519,f528,f707,f710,f711,f704,f716,f717,f705,f713,f706,f20,f739,f697,f788,f791,f797,f801,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f785,f1172,f29,f701,f993,f783,f708,f699,f1186,f30,f990,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f1168,f1170,f1177,f1179,f17,f27,f1899,f1174,f28,f18,f24,f22,f14,f16,f21,f23,f15,f1773,f25,f1094,f2128,f2141,f1184,f2562,f1279,f1220]) ).

fof(f2792,plain,
    ( identity = inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2791,f1438]) ).

fof(f2791,plain,
    ( sk_c8 = inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_8
    | spl0_12 ),
    inference(subsumption_resolution,[],[f1186,f1220]) ).

fof(f2790,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2789]) ).

fof(f2789,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f2788,f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f61,f328,f330,f47,f336,f342,f344,f93,f523,f545,f529,f43,f41,f39,f38,f36,f34,f19,f42,f40,f37,f534,f684,f685,f682,f519,f528,f707,f710,f711,f704,f716,f717,f705,f713,f706,f20,f739,f697,f788,f791,f797,f801,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f785,f1172,f29,f701,f993,f783,f708,f699,f1186,f30,f990,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f1168,f1170,f1177,f1179,f17,f27,f1899,f1174,f28,f18,f24,f22,f14,f16,f21,f23,f15,f1773,f25,f1094,f2128,f2141,f1184,f2562,f1279,f1220]) ).

fof(f2788,plain,
    ( sk_c10 = multiply(identity,sk_c3)
    | identity = inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2787,f1225]) ).

fof(f2787,plain,
    ( identity = inverse(sk_c7)
    | sk_c10 = multiply(sk_c11,sk_c3)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f30,f1438]) ).

fof(f2786,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2785]) ).

fof(f2785,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f2784,f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f61,f328,f330,f47,f336,f342,f344,f93,f523,f545,f529,f43,f41,f39,f38,f36,f34,f19,f42,f40,f37,f534,f684,f685,f682,f519,f528,f707,f710,f711,f704,f716,f717,f705,f713,f706,f20,f739,f697,f788,f791,f797,f801,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f785,f1172,f29,f701,f993,f783,f708,f699,f1186,f30,f990,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f1168,f1170,f1177,f1179,f17,f27,f1899,f1174,f28,f18,f24,f22,f14,f16,f21,f23,f15,f1773,f25,f1094,f2128,f2141,f1184,f2562,f1279,f1220]) ).

fof(f2784,plain,
    ( sk_c10 = sk_c3
    | sk_c10 = multiply(sk_c7,identity)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2783,f1]) ).

fof(f2783,plain,
    ( sk_c10 = multiply(identity,sk_c3)
    | sk_c10 = multiply(sk_c7,identity)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2782,f1225]) ).

fof(f2782,plain,
    ( sk_c10 = multiply(sk_c7,identity)
    | sk_c10 = multiply(sk_c11,sk_c3)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f29,f1438]) ).

fof(f2781,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2780]) ).

fof(f2780,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f2779,f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f61,f328,f330,f47,f336,f342,f344,f93,f523,f545,f529,f43,f41,f39,f38,f36,f34,f19,f42,f40,f37,f534,f684,f685,f682,f519,f528,f707,f710,f711,f704,f716,f717,f705,f713,f706,f20,f739,f697,f788,f791,f797,f801,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f785,f1172,f29,f701,f993,f783,f708,f699,f1186,f30,f990,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f1168,f1170,f1177,f1179,f17,f27,f1899,f1174,f28,f18,f24,f22,f14,f16,f21,f23,f15,f1773,f25,f1094,f2128,f2141,f1184,f2562,f1279,f1220]) ).

fof(f2779,plain,
    ( sk_c10 = multiply(sk_c7,identity)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2778,f1438]) ).

fof(f2778,plain,
    ( sk_c10 = multiply(sk_c7,sk_c8)
    | ~ spl0_1
    | ~ spl0_8
    | spl0_12 ),
    inference(subsumption_resolution,[],[f1172,f1220]) ).

fof(f2777,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2776]) ).

fof(f2776,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f2775,f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f61,f328,f330,f47,f336,f342,f344,f93,f523,f545,f529,f43,f41,f39,f38,f36,f34,f19,f42,f40,f37,f534,f684,f685,f682,f519,f528,f707,f710,f711,f704,f716,f717,f705,f713,f706,f20,f739,f697,f788,f791,f797,f801,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f785,f1172,f29,f701,f993,f783,f708,f699,f1186,f30,f990,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f1168,f1170,f1177,f1179,f17,f27,f1899,f1174,f28,f18,f24,f22,f14,f16,f21,f23,f15,f1773,f25,f1094,f2128,f2141,f1184,f2562,f1279,f1220]) ).

fof(f2775,plain,
    ( identity = sk_c10
    | sk_c10 = multiply(sk_c7,identity)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2774,f1225]) ).

fof(f2774,plain,
    ( sk_c11 = sk_c10
    | sk_c10 = multiply(sk_c7,identity)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2773,f1]) ).

fof(f2773,plain,
    ( sk_c11 = multiply(identity,sk_c10)
    | sk_c10 = multiply(sk_c7,identity)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2772,f1247]) ).

fof(f2772,plain,
    ( sk_c10 = multiply(sk_c7,identity)
    | sk_c11 = multiply(sk_c1,sk_c10)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f19,f1438]) ).

fof(f2771,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2770]) ).

fof(f2770,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f2055,f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f61,f328,f330,f47,f336,f342,f344,f93,f523,f545,f529,f43,f41,f39,f38,f36,f34,f19,f42,f40,f37,f534,f684,f685,f682,f519,f528,f707,f710,f711,f704,f716,f717,f705,f713,f706,f20,f739,f697,f788,f791,f797,f801,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f785,f1172,f29,f701,f993,f783,f708,f699,f1186,f30,f990,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f1168,f1170,f1177,f1179,f17,f27,f1899,f1174,f28,f18,f24,f22,f14,f16,f21,f23,f15,f1773,f25,f1094,f2128,f2141,f1184,f2562,f1279,f1220]) ).

fof(f2769,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2768]) ).

fof(f2768,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f1253,f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f61,f328,f330,f47,f336,f342,f344,f93,f523,f545,f529,f43,f41,f39,f38,f36,f34,f19,f42,f40,f37,f534,f684,f685,f682,f519,f528,f707,f710,f711,f704,f716,f717,f705,f713,f706,f20,f739,f697,f788,f791,f797,f801,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f785,f1172,f29,f701,f993,f783,f708,f699,f1186,f30,f990,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f1168,f1170,f1177,f1179,f17,f27,f1899,f1174,f28,f18,f24,f22,f14,f16,f21,f23,f15,f1773,f25,f1094,f2128,f2141,f1184,f2562,f1279,f1220]) ).

fof(f2767,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2766]) ).

fof(f2766,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f2606,f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f61,f328,f330,f47,f336,f342,f344,f93,f523,f545,f529,f43,f41,f39,f38,f36,f34,f19,f42,f40,f37,f534,f684,f685,f682,f519,f528,f707,f710,f711,f704,f716,f717,f705,f713,f706,f20,f739,f697,f788,f791,f797,f801,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f785,f1172,f29,f701,f993,f783,f708,f699,f1186,f30,f990,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f1168,f1170,f1177,f1179,f17,f27,f1899,f1174,f28,f18,f24,f22,f14,f16,f21,f23,f15,f1773,f25,f1094,f2128,f2141,f1184,f2562,f1279,f1220]) ).

fof(f2606,plain,
    ( identity = sk_c10
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2605,f1065]) ).

fof(f2605,plain,
    ( sk_c10 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1279,f1298]) ).

fof(f1298,plain,
    ( identity = sk_c9
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1292,f2]) ).

fof(f1292,plain,
    ( sk_c9 = multiply(inverse(identity),identity)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_12
    | ~ spl0_13 ),
    inference(superposition,[],[f520,f1289]) ).

fof(f1289,plain,
    ( identity = inverse(sk_c9)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1279,f1253]) ).

fof(f2765,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2764]) ).

fof(f2764,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f2609,f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f61,f328,f330,f47,f336,f342,f344,f93,f523,f545,f529,f43,f41,f39,f38,f36,f34,f19,f42,f40,f37,f534,f684,f685,f682,f519,f528,f707,f710,f711,f704,f716,f717,f705,f713,f706,f20,f739,f697,f788,f791,f797,f801,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f785,f1172,f29,f701,f993,f783,f708,f699,f1186,f30,f990,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f1168,f1170,f1177,f1179,f17,f27,f1899,f1174,f28,f18,f24,f22,f14,f16,f21,f23,f15,f1773,f25,f1094,f2128,f2141,f1184,f2562,f1279,f1220]) ).

fof(f2609,plain,
    ( identity = sk_c10
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2608,f1065]) ).

fof(f2608,plain,
    ( sk_c10 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2542,f1298]) ).

fof(f2542,plain,
    ( sk_c10 = inverse(sk_c9)
    | ~ spl0_1
    | ~ spl0_8
    | spl0_12
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f2541,f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f61,f328,f330,f47,f336,f342,f344,f93,f523,f545,f529,f43,f41,f39,f38,f36,f34,f19,f42,f40,f37,f534,f684,f685,f682,f519,f528,f707,f710,f711,f704,f716,f717,f705,f713,f706,f20,f697,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f785,f1172,f29,f701,f993,f783,f708,f699,f1186,f30,f990,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f1279,f1220,f1184,f1168,f1170,f1177,f1179,f17,f27,f1899,f1174,f28,f18,f24,f22,f14,f16,f21,f23,f15,f1773,f25,f1094,f2128,f2141]) ).

fof(f2541,plain,
    ( sk_c10 = multiply(identity,sk_c3)
    | sk_c10 = inverse(sk_c9)
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f32,f1225]) ).

fof(f2763,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2762]) ).

fof(f2762,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f2611,f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f61,f328,f330,f47,f336,f342,f344,f93,f523,f545,f529,f43,f41,f39,f38,f36,f34,f19,f42,f40,f37,f534,f684,f685,f682,f519,f528,f707,f710,f711,f704,f716,f717,f705,f713,f706,f20,f739,f697,f788,f791,f797,f801,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f785,f1172,f29,f701,f993,f783,f708,f699,f1186,f30,f990,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f1168,f1170,f1177,f1179,f17,f27,f1899,f1174,f28,f18,f24,f22,f14,f16,f21,f23,f15,f1773,f25,f1094,f2128,f2141,f1184,f2562,f1279,f1220]) ).

fof(f2611,plain,
    ( identity = sk_c10
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2610,f1065]) ).

fof(f2610,plain,
    ( sk_c10 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2562,f1298]) ).

fof(f2761,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2760]) ).

fof(f2760,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f2334,f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f61,f328,f330,f47,f336,f342,f344,f93,f523,f545,f529,f43,f41,f39,f38,f36,f34,f19,f42,f40,f37,f534,f684,f685,f682,f519,f528,f707,f710,f711,f704,f716,f717,f705,f713,f706,f20,f739,f697,f788,f791,f797,f801,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f785,f1172,f29,f701,f993,f783,f708,f699,f1186,f30,f990,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f1168,f1170,f1177,f1179,f17,f27,f1899,f1174,f28,f18,f24,f22,f14,f16,f21,f23,f15,f1773,f25,f1094,f2128,f2141,f1184,f2562,f1279,f1220]) ).

fof(f2334,plain,
    ( identity = multiply(identity,sk_c10)
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2333,f1225]) ).

fof(f2333,plain,
    ( sk_c11 = multiply(identity,sk_c10)
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1940,f1247]) ).

fof(f1940,plain,
    ( sk_c11 = multiply(sk_c1,sk_c10)
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f47,f93,f523,f43,f41,f39,f38,f36,f34,f19,f42,f40,f37,f519,f20,f736,f520,f1004,f995,f1066,f1072,f533,f1094,f1102,f1103,f1108,f1110,f1068,f29,f701,f30,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f744,f25,f17,f1927,f27,f28,f18,f1932,f24,f22,f1934,f14,f1935,f16,f1936,f21,f1938,f23,f1939,f15]) ).

fof(f1939,plain,
    ( sk_c11 = multiply(sk_c1,sk_c10)
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f47,f93,f523,f43,f41,f39,f38,f36,f34,f19,f42,f40,f37,f519,f20,f736,f520,f1004,f995,f1066,f1072,f533,f1094,f1102,f1103,f1108,f1110,f1068,f29,f701,f30,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f744,f25,f15,f17,f1927,f27,f28,f18,f1932,f24,f22,f1934,f14,f1935,f16,f1936,f21,f1938,f23]) ).

fof(f1938,plain,
    ( sk_c11 = multiply(sk_c1,sk_c10)
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f47,f93,f523,f43,f41,f39,f38,f36,f34,f19,f42,f40,f37,f519,f20,f736,f520,f1004,f995,f1066,f1072,f533,f1094,f1102,f1103,f1108,f1110,f1068,f29,f701,f30,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f744,f25,f15,f23,f17,f1927,f27,f28,f18,f1932,f24,f22,f1934,f14,f1935,f16,f1936,f21]) ).

fof(f1936,plain,
    ( sk_c11 = multiply(sk_c1,sk_c10)
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f47,f93,f523,f43,f41,f39,f38,f36,f34,f19,f42,f40,f37,f519,f20,f736,f520,f1004,f995,f1066,f1072,f533,f1094,f1102,f1103,f1108,f1110,f1068,f29,f701,f30,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f744,f25,f15,f23,f21,f17,f1927,f27,f28,f18,f1932,f24,f22,f1934,f14,f1935,f16]) ).

fof(f1935,plain,
    ( sk_c11 = multiply(sk_c1,sk_c10)
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f47,f93,f523,f43,f41,f39,f38,f36,f34,f19,f42,f40,f37,f519,f20,f736,f520,f1004,f995,f1066,f1072,f533,f1094,f1102,f1103,f1108,f1110,f1068,f29,f701,f30,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f744,f25,f15,f23,f21,f16,f17,f1927,f27,f28,f18,f1932,f24,f22,f1934,f14]) ).

fof(f1934,plain,
    ( sk_c11 = multiply(sk_c1,sk_c10)
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f47,f93,f523,f43,f41,f39,f38,f36,f34,f19,f42,f40,f37,f519,f20,f736,f520,f1004,f995,f1066,f1072,f533,f1094,f1102,f1103,f1108,f1110,f1068,f29,f701,f30,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f744,f25,f15,f23,f21,f16,f14,f17,f1927,f27,f28,f18,f1932,f24,f22]) ).

fof(f1932,plain,
    ( sk_c11 = multiply(sk_c1,sk_c10)
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f47,f93,f523,f43,f41,f39,f38,f36,f34,f19,f42,f40,f37,f519,f20,f736,f520,f1004,f995,f1066,f1072,f533,f1094,f1102,f1103,f1108,f1110,f1068,f29,f701,f30,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f744,f25,f15,f23,f21,f16,f14,f22,f24,f17,f1927,f27,f28,f18]) ).

fof(f1927,plain,
    ( sk_c11 = multiply(sk_c1,sk_c10)
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f47,f93,f523,f43,f41,f39,f38,f36,f34,f19,f42,f40,f37,f519,f20,f736,f520,f1004,f995,f1066,f1072,f533,f1094,f1102,f1103,f1108,f1110,f1068,f29,f701,f30,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f744,f25,f15,f23,f21,f16,f14,f22,f24,f18,f28,f27,f17]) ).

fof(f744,plain,
    ( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c1,multiply(sk_c10,X0))
    | ~ spl0_10 ),
    inference(superposition,[],[f3,f736]) ).

fof(f2759,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2758]) ).

fof(f2758,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f2336,f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f61,f328,f330,f47,f336,f342,f344,f93,f523,f545,f529,f43,f41,f39,f38,f36,f34,f19,f42,f40,f37,f534,f684,f685,f682,f519,f528,f707,f710,f711,f704,f716,f717,f705,f713,f706,f20,f739,f697,f788,f791,f797,f801,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f785,f1172,f29,f701,f993,f783,f708,f699,f1186,f30,f990,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f1168,f1170,f1177,f1179,f17,f27,f1899,f1174,f28,f18,f24,f22,f14,f16,f21,f23,f15,f1773,f25,f1094,f2128,f2141,f1184,f2562,f1279,f1220]) ).

fof(f2336,plain,
    ( identity = multiply(identity,sk_c10)
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2335,f1225]) ).

fof(f2335,plain,
    ( sk_c11 = multiply(identity,sk_c10)
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1939,f1247]) ).

fof(f2757,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2756]) ).

fof(f2756,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f2338,f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f61,f328,f330,f47,f336,f342,f344,f93,f523,f545,f529,f43,f41,f39,f38,f36,f34,f19,f42,f40,f37,f534,f684,f685,f682,f519,f528,f707,f710,f711,f704,f716,f717,f705,f713,f706,f20,f739,f697,f788,f791,f797,f801,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f785,f1172,f29,f701,f993,f783,f708,f699,f1186,f30,f990,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f1168,f1170,f1177,f1179,f17,f27,f1899,f1174,f28,f18,f24,f22,f14,f16,f21,f23,f15,f1773,f25,f1094,f2128,f2141,f1184,f2562,f1279,f1220]) ).

fof(f2338,plain,
    ( identity = multiply(identity,sk_c10)
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2337,f1225]) ).

fof(f2337,plain,
    ( sk_c11 = multiply(identity,sk_c10)
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1938,f1247]) ).

fof(f2755,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2754]) ).

fof(f2754,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f2342,f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f61,f328,f330,f47,f336,f342,f344,f93,f523,f545,f529,f43,f41,f39,f38,f36,f34,f19,f42,f40,f37,f534,f684,f685,f682,f519,f528,f707,f710,f711,f704,f716,f717,f705,f713,f706,f20,f739,f697,f788,f791,f797,f801,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f785,f1172,f29,f701,f993,f783,f708,f699,f1186,f30,f990,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f1168,f1170,f1177,f1179,f17,f27,f1899,f1174,f28,f18,f24,f22,f14,f16,f21,f23,f15,f1773,f25,f1094,f2128,f2141,f1184,f2562,f1279,f1220]) ).

fof(f2342,plain,
    ( identity = multiply(identity,sk_c10)
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2341,f1225]) ).

fof(f2341,plain,
    ( sk_c11 = multiply(identity,sk_c10)
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1936,f1247]) ).

fof(f2753,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2752]) ).

fof(f2752,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f2344,f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f61,f328,f330,f47,f336,f342,f344,f93,f523,f545,f529,f43,f41,f39,f38,f36,f34,f19,f42,f40,f37,f534,f684,f685,f682,f519,f528,f707,f710,f711,f704,f716,f717,f705,f713,f706,f20,f739,f697,f788,f791,f797,f801,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f785,f1172,f29,f701,f993,f783,f708,f699,f1186,f30,f990,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f1168,f1170,f1177,f1179,f17,f27,f1899,f1174,f28,f18,f24,f22,f14,f16,f21,f23,f15,f1773,f25,f1094,f2128,f2141,f1184,f2562,f1279,f1220]) ).

fof(f2344,plain,
    ( identity = multiply(identity,sk_c10)
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2343,f1225]) ).

fof(f2343,plain,
    ( sk_c11 = multiply(identity,sk_c10)
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1935,f1247]) ).

fof(f2751,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2750]) ).

fof(f2750,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f2346,f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f61,f328,f330,f47,f336,f342,f344,f93,f523,f545,f529,f43,f41,f39,f38,f36,f34,f19,f42,f40,f37,f534,f684,f685,f682,f519,f528,f707,f710,f711,f704,f716,f717,f705,f713,f706,f20,f739,f697,f788,f791,f797,f801,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f785,f1172,f29,f701,f993,f783,f708,f699,f1186,f30,f990,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f1168,f1170,f1177,f1179,f17,f27,f1899,f1174,f28,f18,f24,f22,f14,f16,f21,f23,f15,f1773,f25,f1094,f2128,f2141,f1184,f2562,f1279,f1220]) ).

fof(f2346,plain,
    ( identity = multiply(identity,sk_c10)
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2345,f1225]) ).

fof(f2345,plain,
    ( sk_c11 = multiply(identity,sk_c10)
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1934,f1247]) ).

fof(f2749,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2748]) ).

fof(f2748,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f2348,f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f61,f328,f330,f47,f336,f342,f344,f93,f523,f545,f529,f43,f41,f39,f38,f36,f34,f19,f42,f40,f37,f534,f684,f685,f682,f519,f528,f707,f710,f711,f704,f716,f717,f705,f713,f706,f20,f739,f697,f788,f791,f797,f801,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f785,f1172,f29,f701,f993,f783,f708,f699,f1186,f30,f990,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f1168,f1170,f1177,f1179,f17,f27,f1899,f1174,f28,f18,f24,f22,f14,f16,f21,f23,f15,f1773,f25,f1094,f2128,f2141,f1184,f2562,f1279,f1220]) ).

fof(f2348,plain,
    ( identity = multiply(identity,sk_c10)
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2347,f1225]) ).

fof(f2347,plain,
    ( sk_c11 = multiply(identity,sk_c10)
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1932,f1247]) ).

fof(f2747,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2746]) ).

fof(f2746,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f2350,f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f61,f328,f330,f47,f336,f342,f344,f93,f523,f545,f529,f43,f41,f39,f38,f36,f34,f19,f42,f40,f37,f534,f684,f685,f682,f519,f528,f707,f710,f711,f704,f716,f717,f705,f713,f706,f20,f739,f697,f788,f791,f797,f801,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f785,f1172,f29,f701,f993,f783,f708,f699,f1186,f30,f990,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f1168,f1170,f1177,f1179,f17,f27,f1899,f1174,f28,f18,f24,f22,f14,f16,f21,f23,f15,f1773,f25,f1094,f2128,f2141,f1184,f2562,f1279,f1220]) ).

fof(f2350,plain,
    ( identity = multiply(identity,sk_c10)
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2349,f1225]) ).

fof(f2349,plain,
    ( sk_c11 = multiply(identity,sk_c10)
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1927,f1247]) ).

fof(f2745,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2744]) ).

fof(f2744,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f2352,f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f61,f328,f330,f47,f336,f342,f344,f93,f523,f545,f529,f43,f41,f39,f38,f36,f34,f19,f42,f40,f37,f534,f684,f685,f682,f519,f528,f707,f710,f711,f704,f716,f717,f705,f713,f706,f20,f739,f697,f788,f791,f797,f801,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f785,f1172,f29,f701,f993,f783,f708,f699,f1186,f30,f990,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f1168,f1170,f1177,f1179,f17,f27,f1899,f1174,f28,f18,f24,f22,f14,f16,f21,f23,f15,f1773,f25,f1094,f2128,f2141,f1184,f2562,f1279,f1220]) ).

fof(f2352,plain,
    ( identity = multiply(identity,sk_c10)
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2351,f1225]) ).

fof(f2351,plain,
    ( sk_c11 = multiply(identity,sk_c10)
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f736,f1247]) ).

fof(f2743,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2742]) ).

fof(f2742,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f2535,f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f61,f328,f330,f47,f336,f342,f344,f93,f523,f545,f529,f43,f41,f39,f38,f36,f34,f19,f42,f40,f37,f534,f684,f685,f682,f519,f528,f707,f710,f711,f704,f716,f717,f705,f713,f706,f20,f739,f697,f788,f791,f797,f801,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f785,f1172,f29,f701,f993,f783,f708,f699,f1186,f30,f990,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f1168,f1170,f1177,f1179,f17,f27,f1899,f1174,f28,f18,f24,f22,f14,f16,f21,f23,f15,f1773,f25,f1094,f2128,f2141,f1184,f2562,f1279,f1220]) ).

fof(f2535,plain,
    ( identity = multiply(identity,sk_c10)
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f2534,f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f61,f328,f330,f47,f93,f523,f43,f41,f39,f38,f36,f34,f19,f42,f40,f37,f534,f684,f682,f519,f528,f707,f710,f711,f704,f716,f717,f705,f713,f706,f20,f742,f747,f751,f697,f753,f787,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f754,f1068,f785,f752,f29,f701,f993,f786,f783,f708,f699,f30,f990,f1065,f1227,f1228,f1246,f1250,f1251,f1236,f1252,f1254,f1255,f1258,f1259,f1278,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f1741,f33,f31,f748,f26,f744,f17,f1927,f27,f28,f18,f1932,f24,f22,f1934,f14,f1935,f16,f1936,f21,f1938,f23,f1939,f15,f1940,f25,f745,f736,f1225,f1943,f1944,f1957,f1958,f1959,f1960,f1951,f1961,f1962,f1247,f1094,f2128,f2141,f2352,f2350,f2348,f2346,f2344,f2342,f2338,f2336,f2334,f1253,f2055]) ).

fof(f1962,plain,
    ( identity = sk_c1
    | ~ spl0_1
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1954,f1065]) ).

fof(f1954,plain,
    ( sk_c1 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_13 ),
    inference(superposition,[],[f990,f1225]) ).

fof(f1961,plain,
    ( ! [X0] : multiply(sk_c1,X0) = X0
    | ~ spl0_1
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1952,f1]) ).

fof(f1952,plain,
    ( ! [X0] : multiply(sk_c1,multiply(identity,X0)) = X0
    | ~ spl0_1
    | ~ spl0_13 ),
    inference(superposition,[],[f706,f1225]) ).

fof(f1951,plain,
    ( identity = multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_13 ),
    inference(superposition,[],[f704,f1225]) ).

fof(f1960,plain,
    ( identity = sk_c1
    | ~ spl0_1
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1950,f995]) ).

fof(f1950,plain,
    ( sk_c1 = multiply(inverse(inverse(inverse(identity))),identity)
    | ~ spl0_1
    | ~ spl0_13 ),
    inference(superposition,[],[f697,f1225]) ).

fof(f1959,plain,
    ( identity = multiply(identity,sk_c1)
    | ~ spl0_1
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1949,f1323]) ).

fof(f1949,plain,
    ( identity = multiply(inverse(inverse(identity)),sk_c1)
    | ~ spl0_1
    | ~ spl0_13 ),
    inference(superposition,[],[f682,f1225]) ).

fof(f1958,plain,
    ( identity = sk_c1
    | ~ spl0_1
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1948,f2]) ).

fof(f1948,plain,
    ( sk_c1 = multiply(inverse(identity),identity)
    | ~ spl0_1
    | ~ spl0_13 ),
    inference(superposition,[],[f534,f1225]) ).

fof(f1957,plain,
    ( ! [X0] : multiply(sk_c1,X0) = X0
    | ~ spl0_1
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1947,f519]) ).

fof(f1947,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(identity),X0)
    | ~ spl0_1
    | ~ spl0_13 ),
    inference(superposition,[],[f528,f1225]) ).

fof(f1944,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c1,X0)) = X0
    | ~ spl0_1
    | ~ spl0_13 ),
    inference(superposition,[],[f330,f1225]) ).

fof(f1943,plain,
    ( identity = multiply(identity,sk_c1)
    | ~ spl0_1
    | ~ spl0_13 ),
    inference(superposition,[],[f328,f1225]) ).

fof(f748,plain,
    ( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c11,multiply(sk_c11,X0))
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(superposition,[],[f3,f745]) ).

fof(f1741,plain,
    ( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c1,multiply(sk_c10,X0))
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f752,f990]) ).

fof(f1278,plain,
    ( identity = multiply(identity,sk_c10)
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1267,f1225]) ).

fof(f1267,plain,
    ( sk_c11 = multiply(identity,sk_c10)
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f736,f1247]) ).

fof(f1259,plain,
    ( identity = sk_c1
    | ~ spl0_1
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1243,f1065]) ).

fof(f1243,plain,
    ( sk_c1 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_13 ),
    inference(superposition,[],[f990,f1225]) ).

fof(f1258,plain,
    ( identity = multiply(identity,sk_c10)
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1257,f1065]) ).

fof(f1257,plain,
    ( identity = multiply(inverse(identity),sk_c10)
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1256,f1065]) ).

fof(f1256,plain,
    ( identity = multiply(inverse(inverse(identity)),sk_c10)
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1242,f1065]) ).

fof(f1242,plain,
    ( identity = multiply(inverse(inverse(inverse(identity))),sk_c10)
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f753,f1225]) ).

fof(f1255,plain,
    ( identity = sk_c10
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1241,f520]) ).

fof(f1241,plain,
    ( sk_c10 = multiply(inverse(inverse(identity)),identity)
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f751,f1225]) ).

fof(f1254,plain,
    ( identity = multiply(identity,sk_c10)
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1240,f1065]) ).

fof(f1240,plain,
    ( identity = multiply(inverse(identity),sk_c10)
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f747,f1225]) ).

fof(f1252,plain,
    ( ! [X0] : multiply(sk_c1,X0) = X0
    | ~ spl0_1
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1237,f1]) ).

fof(f1237,plain,
    ( ! [X0] : multiply(sk_c1,multiply(identity,X0)) = X0
    | ~ spl0_1
    | ~ spl0_13 ),
    inference(superposition,[],[f706,f1225]) ).

fof(f1236,plain,
    ( identity = multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_13 ),
    inference(superposition,[],[f704,f1225]) ).

fof(f1251,plain,
    ( identity = sk_c1
    | ~ spl0_1
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1235,f995]) ).

fof(f1235,plain,
    ( sk_c1 = multiply(inverse(inverse(inverse(identity))),identity)
    | ~ spl0_1
    | ~ spl0_13 ),
    inference(superposition,[],[f697,f1225]) ).

fof(f1250,plain,
    ( identity = multiply(identity,sk_c1)
    | ~ spl0_1
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1249,f1065]) ).

fof(f1249,plain,
    ( identity = multiply(inverse(identity),sk_c1)
    | ~ spl0_1
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1234,f1065]) ).

fof(f1234,plain,
    ( identity = multiply(inverse(inverse(identity)),sk_c1)
    | ~ spl0_1
    | ~ spl0_13 ),
    inference(superposition,[],[f682,f1225]) ).

fof(f1246,plain,
    ( ! [X0] : multiply(sk_c1,X0) = X0
    | ~ spl0_1
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1231,f519]) ).

fof(f1231,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(identity),X0)
    | ~ spl0_1
    | ~ spl0_13 ),
    inference(superposition,[],[f528,f1225]) ).

fof(f1228,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c1,X0)) = X0
    | ~ spl0_1
    | ~ spl0_13 ),
    inference(superposition,[],[f330,f1225]) ).

fof(f1227,plain,
    ( identity = multiply(identity,sk_c1)
    | ~ spl0_1
    | ~ spl0_13 ),
    inference(superposition,[],[f328,f1225]) ).

fof(f786,plain,
    ( sk_c10 = multiply(inverse(inverse(inverse(inverse(sk_c11)))),sk_c11)
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(superposition,[],[f93,f753]) ).

fof(f752,plain,
    ( ! [X0] : multiply(sk_c11,X0) = multiply(inverse(sk_c11),multiply(sk_c10,X0))
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(superposition,[],[f3,f747]) ).

fof(f754,plain,
    ( ! [X0] : multiply(sk_c10,X0) = multiply(inverse(inverse(sk_c11)),multiply(sk_c11,X0))
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(superposition,[],[f3,f751]) ).

fof(f787,plain,
    ( ! [X0] : multiply(sk_c11,X0) = multiply(inverse(inverse(inverse(sk_c11))),multiply(sk_c10,X0))
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(superposition,[],[f3,f753]) ).

fof(f753,plain,
    ( sk_c11 = multiply(inverse(inverse(inverse(sk_c11))),sk_c10)
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(superposition,[],[f93,f751]) ).

fof(f751,plain,
    ( sk_c10 = multiply(inverse(inverse(sk_c11)),sk_c11)
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(superposition,[],[f93,f747]) ).

fof(f742,plain,
    ( sk_c10 = multiply(sk_c11,sk_c11)
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(superposition,[],[f330,f736]) ).

fof(f2534,plain,
    ( identity = multiply(identity,sk_c10)
    | sk_c10 = sk_c3
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2533,f1225]) ).

fof(f2533,plain,
    ( sk_c11 = multiply(identity,sk_c10)
    | sk_c10 = sk_c3
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2532,f2369]) ).

fof(f2369,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f689,f1247]) ).

fof(f689,plain,
    ( sk_c1 = sk_c6
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f679,f534]) ).

fof(f679,plain,
    ( sk_c6 = multiply(inverse(sk_c11),identity)
    | ~ spl0_9 ),
    inference(superposition,[],[f93,f678]) ).

fof(f678,plain,
    ( identity = multiply(sk_c11,sk_c6)
    | ~ spl0_9 ),
    inference(superposition,[],[f2,f340]) ).

fof(f340,plain,
    ( sk_c11 = inverse(sk_c6)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f338]) ).

fof(f338,plain,
    ( spl0_9
  <=> sk_c11 = inverse(sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f2532,plain,
    ( sk_c10 = sk_c3
    | sk_c11 = multiply(sk_c6,sk_c10)
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2531,f1]) ).

fof(f2531,plain,
    ( sk_c10 = multiply(identity,sk_c3)
    | sk_c11 = multiply(sk_c6,sk_c10)
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f28,f1225]) ).

fof(f2741,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2740]) ).

fof(f2740,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f2552,f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f61,f328,f330,f47,f336,f342,f344,f93,f523,f545,f529,f43,f41,f39,f38,f36,f34,f19,f42,f40,f37,f534,f684,f685,f682,f519,f528,f707,f710,f711,f704,f716,f717,f705,f713,f706,f20,f739,f697,f788,f791,f797,f801,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f785,f1172,f29,f701,f993,f783,f708,f699,f1186,f30,f990,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f1168,f1170,f1177,f1179,f17,f27,f1899,f1174,f28,f18,f24,f22,f14,f16,f21,f23,f15,f1773,f25,f1094,f2128,f2141,f1184,f2562,f1279,f1220]) ).

fof(f2552,plain,
    ( identity = multiply(identity,sk_c10)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f2551,f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f61,f328,f330,f47,f93,f523,f43,f41,f39,f38,f36,f34,f19,f42,f40,f37,f534,f684,f682,f519,f528,f707,f710,f711,f704,f716,f717,f705,f713,f706,f20,f742,f747,f751,f697,f753,f787,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f754,f1068,f785,f752,f29,f701,f993,f786,f783,f708,f699,f30,f990,f1065,f1227,f1228,f1246,f1250,f1251,f1236,f1252,f1254,f1255,f1258,f1259,f1278,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f1741,f33,f31,f748,f26,f744,f17,f1927,f27,f28,f18,f1932,f24,f22,f1934,f14,f1935,f16,f1936,f21,f1938,f23,f1939,f15,f1940,f25,f745,f736,f1225,f1943,f1944,f1957,f1958,f1959,f1960,f1951,f1961,f1962,f1247,f1094,f2128,f2141,f2352,f2350,f2348,f2346,f2344,f2342,f2338,f2336,f2334,f1253,f2055,f2541,f2544,f2546,f2549]) ).

fof(f2549,plain,
    ( identity = multiply(sk_c5,sk_c10)
    | sk_c10 = sk_c3
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2548,f1225]) ).

fof(f2548,plain,
    ( sk_c10 = sk_c3
    | sk_c11 = multiply(sk_c5,sk_c10)
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2547,f1]) ).

fof(f2547,plain,
    ( sk_c10 = multiply(identity,sk_c3)
    | sk_c11 = multiply(sk_c5,sk_c10)
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f26,f1225]) ).

fof(f2546,plain,
    ( sk_c10 = sk_c3
    | sk_c10 = multiply(sk_c9,identity)
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2545,f1]) ).

fof(f2545,plain,
    ( sk_c10 = multiply(identity,sk_c3)
    | sk_c10 = multiply(sk_c9,identity)
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2097,f1225]) ).

fof(f2097,plain,
    ( sk_c10 = multiply(sk_c9,identity)
    | sk_c10 = multiply(sk_c11,sk_c3)
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f33,f1225]) ).

fof(f2544,plain,
    ( sk_c10 = sk_c3
    | sk_c10 = multiply(sk_c8,identity)
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2543,f1]) ).

fof(f2543,plain,
    ( sk_c10 = multiply(identity,sk_c3)
    | sk_c10 = multiply(sk_c8,identity)
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2092,f1225]) ).

fof(f2092,plain,
    ( sk_c10 = multiply(sk_c8,identity)
    | sk_c10 = multiply(sk_c11,sk_c3)
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f31,f1225]) ).

fof(f2551,plain,
    ( identity = multiply(identity,sk_c10)
    | identity = sk_c3
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2550,f1225]) ).

fof(f2550,plain,
    ( sk_c11 = multiply(identity,sk_c10)
    | identity = sk_c3
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1174,f2369]) ).

fof(f2739,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2738]) ).

fof(f2738,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f2737,f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f61,f328,f330,f47,f336,f342,f344,f93,f523,f545,f529,f43,f41,f39,f38,f36,f34,f19,f42,f40,f37,f534,f684,f685,f682,f519,f528,f707,f710,f711,f704,f716,f717,f705,f713,f706,f20,f739,f697,f788,f791,f797,f801,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f785,f1172,f29,f701,f993,f783,f708,f699,f1186,f30,f990,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f1168,f1170,f1177,f1179,f17,f27,f1899,f1174,f28,f18,f24,f22,f14,f16,f21,f23,f15,f1773,f25,f1094,f2128,f2141,f1184,f2562,f1279,f1220]) ).

fof(f2737,plain,
    ( identity = multiply(identity,sk_c10)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2557,f1546]) ).

fof(f1546,plain,
    ( identity = sk_c5
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_12
    | ~ spl0_13 ),
    inference(superposition,[],[f1544,f1092]) ).

fof(f1544,plain,
    ( identity = multiply(sk_c5,identity)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1543,f1225]) ).

fof(f1543,plain,
    ( sk_c11 = multiply(sk_c5,identity)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1542,f1253]) ).

fof(f1542,plain,
    ( sk_c11 = multiply(sk_c5,sk_c10)
    | ~ spl0_1
    | ~ spl0_8
    | spl0_12 ),
    inference(subsumption_resolution,[],[f1177,f1220]) ).

fof(f2557,plain,
    ( identity = multiply(sk_c5,sk_c10)
    | ~ spl0_1
    | ~ spl0_8
    | spl0_12
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f61,f328,f330,f47,f336,f342,f344,f93,f523,f545,f529,f43,f41,f39,f38,f36,f34,f19,f42,f40,f37,f534,f684,f685,f682,f519,f528,f707,f710,f711,f704,f716,f717,f705,f713,f706,f20,f697,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f785,f1172,f29,f701,f993,f783,f708,f699,f1186,f30,f990,f1065,f1227,f1228,f1244,f1245,f1246,f1250,f1251,f1236,f1252,f1259,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f1279,f1220,f1184,f1168,f1170,f1177,f1179,f17,f27,f1899,f1174,f28,f18,f24,f22,f14,f16,f21,f23,f15,f1773,f25,f1225,f1943,f1944,f1955,f1956,f1957,f1958,f1959,f1960,f1951,f1961,f1962,f1247,f1094,f2128,f2141,f2541,f2542,f2544,f2546,f2549,f2556]) ).

fof(f2556,plain,
    ( identity = multiply(sk_c5,sk_c10)
    | identity = sk_c3
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1177,f1225]) ).

fof(f1956,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c1,X0)) = X0
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1946,f685]) ).

fof(f1946,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c2,X0)) = X0
    | ~ spl0_8
    | ~ spl0_13 ),
    inference(superposition,[],[f344,f1225]) ).

fof(f1955,plain,
    ( identity = multiply(identity,sk_c1)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1945,f685]) ).

fof(f1945,plain,
    ( identity = multiply(identity,sk_c2)
    | ~ spl0_8
    | ~ spl0_13 ),
    inference(superposition,[],[f342,f1225]) ).

fof(f1245,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c1,X0)) = X0
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1230,f685]) ).

fof(f1230,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c2,X0)) = X0
    | ~ spl0_8
    | ~ spl0_13 ),
    inference(superposition,[],[f344,f1225]) ).

fof(f1244,plain,
    ( identity = multiply(identity,sk_c1)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1229,f685]) ).

fof(f1229,plain,
    ( identity = multiply(identity,sk_c2)
    | ~ spl0_8
    | ~ spl0_13 ),
    inference(superposition,[],[f342,f1225]) ).

fof(f2736,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2735]) ).

fof(f2735,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f2629,f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f61,f328,f330,f47,f336,f342,f344,f93,f523,f545,f529,f43,f41,f39,f38,f36,f34,f19,f42,f40,f37,f534,f684,f685,f682,f519,f528,f707,f710,f711,f704,f716,f717,f705,f713,f706,f20,f739,f697,f788,f791,f797,f801,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f785,f1172,f29,f701,f993,f783,f708,f699,f1186,f30,f990,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f1168,f1170,f1177,f1179,f17,f27,f1899,f1174,f28,f18,f24,f22,f14,f16,f21,f23,f15,f1773,f25,f1094,f2128,f2141,f1184,f2562,f1279,f1220]) ).

fof(f2629,plain,
    ( identity = sk_c10
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2628,f1]) ).

fof(f2628,plain,
    ( sk_c10 = multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2559,f1438]) ).

fof(f2559,plain,
    ( sk_c10 = multiply(sk_c8,identity)
    | ~ spl0_1
    | ~ spl0_8
    | spl0_12
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f61,f328,f330,f47,f336,f342,f344,f93,f523,f545,f529,f43,f41,f39,f38,f36,f34,f19,f42,f40,f37,f534,f684,f685,f682,f519,f528,f707,f710,f711,f704,f716,f717,f705,f713,f706,f20,f697,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f785,f1172,f29,f701,f993,f783,f708,f699,f1186,f30,f990,f1065,f1227,f1228,f1244,f1245,f1246,f1250,f1251,f1236,f1252,f1259,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f1279,f1220,f1184,f1168,f1170,f1177,f1179,f17,f27,f1899,f1174,f28,f18,f24,f22,f14,f16,f21,f23,f15,f1773,f25,f1225,f1943,f1944,f1955,f1956,f1957,f1958,f1959,f1960,f1951,f1961,f1962,f1247,f1094,f2128,f2141,f2541,f2542,f2544,f2546,f2549,f2556,f2557,f2558]) ).

fof(f2558,plain,
    ( sk_c10 = multiply(sk_c8,identity)
    | identity = sk_c3
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1170,f1225]) ).

fof(f2734,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2733]) ).

fof(f2733,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f2631,f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f61,f328,f330,f47,f336,f342,f344,f93,f523,f545,f529,f43,f41,f39,f38,f36,f34,f19,f42,f40,f37,f534,f684,f685,f682,f519,f528,f707,f710,f711,f704,f716,f717,f705,f713,f706,f20,f739,f697,f788,f791,f797,f801,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f785,f1172,f29,f701,f993,f783,f708,f699,f1186,f30,f990,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f1168,f1170,f1177,f1179,f17,f27,f1899,f1174,f28,f18,f24,f22,f14,f16,f21,f23,f15,f1773,f25,f1094,f2128,f2141,f1184,f2562,f1279,f1220]) ).

fof(f2631,plain,
    ( identity = sk_c10
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2630,f1]) ).

fof(f2630,plain,
    ( sk_c10 = multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2561,f1298]) ).

fof(f2561,plain,
    ( sk_c10 = multiply(sk_c9,identity)
    | ~ spl0_1
    | ~ spl0_8
    | spl0_12
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f61,f328,f330,f47,f336,f342,f344,f93,f523,f545,f529,f43,f41,f39,f38,f36,f34,f19,f42,f40,f37,f534,f684,f685,f682,f519,f528,f707,f710,f711,f704,f716,f717,f705,f713,f706,f20,f697,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f785,f1172,f29,f701,f993,f783,f708,f699,f1186,f30,f990,f1065,f1227,f1228,f1244,f1245,f1246,f1250,f1251,f1236,f1252,f1259,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f1279,f1220,f1184,f1168,f1170,f1177,f1179,f17,f27,f1899,f1174,f28,f18,f24,f22,f14,f16,f21,f23,f15,f1773,f25,f1225,f1943,f1944,f1955,f1956,f1957,f1958,f1959,f1960,f1951,f1961,f1962,f1247,f1094,f2128,f2141,f2541,f2542,f2544,f2546,f2549,f2556,f2557,f2558,f2559,f2560]) ).

fof(f2560,plain,
    ( sk_c10 = multiply(sk_c9,identity)
    | identity = sk_c3
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1168,f1225]) ).

fof(f2732,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2731]) ).

fof(f2731,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f2730,f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f61,f328,f330,f47,f336,f342,f344,f93,f523,f545,f529,f43,f41,f39,f38,f36,f34,f19,f42,f40,f37,f534,f684,f685,f682,f519,f528,f707,f710,f711,f704,f716,f717,f705,f713,f706,f20,f739,f697,f788,f791,f797,f801,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f785,f1172,f29,f701,f993,f783,f708,f699,f1186,f30,f990,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f1168,f1170,f1177,f1179,f17,f27,f1899,f1174,f28,f18,f24,f22,f14,f16,f21,f23,f15,f1773,f25,f1094,f2128,f2141,f1184,f2562,f1279,f1220]) ).

fof(f2730,plain,
    ( identity = sk_c10
    | sk_c10 = sk_c3
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2729,f1]) ).

fof(f2729,plain,
    ( sk_c10 = multiply(identity,identity)
    | sk_c10 = sk_c3
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2544,f1438]) ).

fof(f2728,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2727]) ).

fof(f2727,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f2726,f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f61,f328,f330,f47,f336,f342,f344,f93,f523,f545,f529,f43,f41,f39,f38,f36,f34,f19,f42,f40,f37,f534,f684,f685,f682,f519,f528,f707,f710,f711,f704,f716,f717,f705,f713,f706,f20,f739,f697,f788,f791,f797,f801,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f785,f1172,f29,f701,f993,f783,f708,f699,f1186,f30,f990,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f1168,f1170,f1177,f1179,f17,f27,f1899,f1174,f28,f18,f24,f22,f14,f16,f21,f23,f15,f1773,f25,f1094,f2128,f2141,f1184,f2562,f1279,f1220]) ).

fof(f2726,plain,
    ( identity = sk_c10
    | sk_c10 = sk_c3
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2725,f1]) ).

fof(f2725,plain,
    ( sk_c10 = multiply(identity,identity)
    | sk_c10 = sk_c3
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2546,f1298]) ).

fof(f2724,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2723]) ).

fof(f2723,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f2722,f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f61,f328,f330,f47,f336,f342,f344,f93,f523,f545,f529,f43,f41,f39,f38,f36,f34,f19,f42,f40,f37,f534,f684,f685,f682,f519,f528,f707,f710,f711,f704,f716,f717,f705,f713,f706,f20,f739,f697,f788,f791,f797,f801,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f785,f1172,f29,f701,f993,f783,f708,f699,f1186,f30,f990,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f1168,f1170,f1177,f1179,f17,f27,f1899,f1174,f28,f18,f24,f22,f14,f16,f21,f23,f15,f1773,f25,f1094,f2128,f2141,f1184,f2562,f1279,f1220]) ).

fof(f2722,plain,
    ( identity = multiply(identity,sk_c10)
    | sk_c10 = sk_c3
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2549,f1546]) ).

fof(f2721,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2720]) ).

fof(f2720,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f2528,f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f61,f328,f330,f47,f336,f342,f344,f93,f523,f545,f529,f43,f41,f39,f38,f36,f34,f19,f42,f40,f37,f534,f684,f685,f682,f519,f528,f707,f710,f711,f704,f716,f717,f705,f713,f706,f20,f739,f697,f788,f791,f797,f801,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f785,f1172,f29,f701,f993,f783,f708,f699,f1186,f30,f990,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f1168,f1170,f1177,f1179,f17,f27,f1899,f1174,f28,f18,f24,f22,f14,f16,f21,f23,f15,f1773,f25,f1094,f2128,f2141,f1184,f2562,f1279,f1220]) ).

fof(f2528,plain,
    ( ! [X3] :
        ( identity != multiply(X3,sk_c10)
        | identity != inverse(X3) )
    | ~ spl0_5
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2464,f1225]) ).

fof(f2464,plain,
    ( ! [X3] :
        ( identity != inverse(X3)
        | sk_c11 != multiply(X3,sk_c10) )
    | ~ spl0_5
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f119,f1225]) ).

fof(f2719,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2718]) ).

fof(f2718,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f2529,f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f61,f328,f330,f47,f336,f342,f344,f93,f523,f545,f529,f43,f41,f39,f38,f36,f34,f19,f42,f40,f37,f534,f684,f685,f682,f519,f528,f707,f710,f711,f704,f716,f717,f705,f713,f706,f20,f739,f697,f788,f791,f797,f801,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f1068,f785,f1172,f29,f701,f993,f783,f708,f699,f1186,f30,f990,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f1168,f1170,f1177,f1179,f17,f27,f1899,f1174,f28,f18,f24,f22,f14,f16,f21,f23,f15,f1773,f25,f1094,f2128,f2141,f1184,f2562,f1279,f1220]) ).

fof(f2529,plain,
    ( ! [X3] :
        ( identity != multiply(X3,sk_c10)
        | identity != inverse(X3) )
    | ~ spl0_5
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2234,f1225]) ).

fof(f2234,plain,
    ( ! [X3] :
        ( identity != inverse(X3)
        | sk_c11 != multiply(X3,sk_c10) )
    | ~ spl0_5
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f119,f1225]) ).

fof(f2712,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2711]) ).

fof(f2711,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2710,f1065]) ).

fof(f2710,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2709,f1247]) ).

fof(f2709,plain,
    ( identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2708,f990]) ).

fof(f2708,plain,
    ( identity != inverse(inverse(sk_c11))
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2707,f1247]) ).

fof(f2707,plain,
    ( identity != sk_c1
    | identity != inverse(inverse(sk_c11))
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2666,f705]) ).

fof(f2666,plain,
    ( identity != multiply(sk_c1,identity)
    | identity != inverse(inverse(sk_c11))
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(superposition,[],[f2653,f528]) ).

fof(f2653,plain,
    ( ! [X3] :
        ( identity != multiply(X3,identity)
        | identity != inverse(X3) )
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2528,f1469]) ).

fof(f2706,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2705]) ).

fof(f2705,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2704,f1323]) ).

fof(f2704,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2669,f1323]) ).

fof(f2669,plain,
    ( identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f2665]) ).

fof(f2665,plain,
    ( identity != identity
    | identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(superposition,[],[f2653,f995]) ).

fof(f2703,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2702]) ).

fof(f2702,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2670,f1323]) ).

fof(f2670,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f2664]) ).

fof(f2664,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(superposition,[],[f2653,f519]) ).

fof(f2701,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2700]) ).

fof(f2700,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2671,f1323]) ).

fof(f2671,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f2663]) ).

fof(f2663,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(superposition,[],[f2653,f2]) ).

fof(f2699,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2698]) ).

fof(f2698,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2672,f1065]) ).

fof(f2672,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f2662]) ).

fof(f2662,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(superposition,[],[f2653,f1]) ).

fof(f2697,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2696]) ).

fof(f2696,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2695,f1065]) ).

fof(f2695,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2694,f1225]) ).

fof(f2694,plain,
    ( identity != inverse(sk_c11)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2661,f1225]) ).

fof(f2661,plain,
    ( identity != sk_c11
    | identity != inverse(sk_c11)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(superposition,[],[f2653,f713]) ).

fof(f2693,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2692]) ).

fof(f2692,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2691,f1065]) ).

fof(f2691,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2690,f1247]) ).

fof(f2690,plain,
    ( identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2660,f1247]) ).

fof(f2660,plain,
    ( identity != sk_c1
    | identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(superposition,[],[f2653,f705]) ).

fof(f2689,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2688]) ).

fof(f2688,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2687,f1065]) ).

fof(f2687,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2686,f1450]) ).

fof(f1450,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1446,f2]) ).

fof(f1446,plain,
    ( sk_c7 = multiply(inverse(identity),identity)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(superposition,[],[f1207,f1438]) ).

fof(f2686,plain,
    ( identity != inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2685,f1326]) ).

fof(f2685,plain,
    ( identity != inverse(inverse(sk_c8))
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2659,f1450]) ).

fof(f2659,plain,
    ( identity != sk_c7
    | identity != inverse(inverse(sk_c8))
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(superposition,[],[f2653,f1207]) ).

fof(f2684,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2683]) ).

fof(f2683,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2682,f1065]) ).

fof(f2682,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2681,f1247]) ).

fof(f2681,plain,
    ( identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2680,f990]) ).

fof(f2680,plain,
    ( identity != inverse(inverse(sk_c11))
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2658,f1247]) ).

fof(f2658,plain,
    ( identity != sk_c1
    | identity != inverse(inverse(sk_c11))
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(superposition,[],[f2653,f534]) ).

fof(f2678,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2677]) ).

fof(f2677,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2676,f1065]) ).

fof(f2676,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2675,f1247]) ).

fof(f2675,plain,
    ( identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2674,f990]) ).

fof(f2674,plain,
    ( identity != inverse(inverse(sk_c11))
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2673,f1323]) ).

fof(f2673,plain,
    ( identity != inverse(inverse(inverse(inverse(sk_c11))))
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2656,f1247]) ).

fof(f2656,plain,
    ( identity != sk_c1
    | identity != inverse(inverse(inverse(inverse(sk_c11))))
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(superposition,[],[f2653,f697]) ).

fof(f2522,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2521]) ).

fof(f2521,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2520,f1065]) ).

fof(f2520,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2519,f1247]) ).

fof(f2519,plain,
    ( identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2518,f990]) ).

fof(f2518,plain,
    ( identity != inverse(inverse(sk_c11))
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2517,f1247]) ).

fof(f2517,plain,
    ( identity != sk_c1
    | identity != inverse(inverse(sk_c11))
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2478,f705]) ).

fof(f2478,plain,
    ( identity != multiply(sk_c1,identity)
    | identity != inverse(inverse(sk_c11))
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(superposition,[],[f2463,f528]) ).

fof(f2463,plain,
    ( ! [X3] :
        ( identity != multiply(X3,identity)
        | identity != inverse(X3) )
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2462,f1225]) ).

fof(f2462,plain,
    ( ! [X3] :
        ( sk_c11 != multiply(X3,identity)
        | identity != inverse(X3) )
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2234,f2317]) ).

fof(f2317,plain,
    ( identity = sk_c10
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f2316,f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f61,f328,f330,f47,f93,f523,f43,f41,f39,f38,f36,f34,f19,f42,f40,f37,f534,f684,f682,f519,f528,f707,f710,f711,f704,f716,f717,f705,f713,f706,f20,f742,f747,f751,f697,f753,f787,f520,f1004,f995,f1066,f1072,f533,f1102,f1103,f1108,f1110,f754,f1068,f785,f752,f29,f701,f993,f786,f783,f708,f699,f30,f990,f1065,f1227,f1228,f1246,f1250,f1251,f1236,f1252,f1254,f1255,f1258,f1259,f1278,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f1741,f33,f31,f748,f26,f744,f17,f1927,f27,f28,f18,f1932,f24,f22,f1934,f14,f1935,f16,f1936,f21,f1938,f23,f1939,f15,f1940,f25,f745,f1253,f736,f1225,f1943,f1944,f1957,f1958,f1959,f1960,f1951,f1961,f1962,f1247,f1094,f2128,f2141]) ).

fof(f2316,plain,
    ( identity = sk_c10
    | sk_c10 = multiply(sk_c9,identity)
    | ~ spl0_1
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2315,f1225]) ).

fof(f2315,plain,
    ( sk_c11 = sk_c10
    | sk_c10 = multiply(sk_c9,identity)
    | ~ spl0_1
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2314,f713]) ).

fof(f2314,plain,
    ( sk_c10 = multiply(sk_c11,identity)
    | sk_c10 = multiply(sk_c9,identity)
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2097,f1221]) ).

fof(f1221,plain,
    ( identity = sk_c3
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f1219]) ).

fof(f2516,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2515]) ).

fof(f2515,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2514,f1323]) ).

fof(f2514,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2481,f1323]) ).

fof(f2481,plain,
    ( identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f2477]) ).

fof(f2477,plain,
    ( identity != identity
    | identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(superposition,[],[f2463,f995]) ).

fof(f2513,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2512]) ).

fof(f2512,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2482,f1323]) ).

fof(f2482,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f2476]) ).

fof(f2476,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(superposition,[],[f2463,f519]) ).

fof(f2511,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2510]) ).

fof(f2510,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2483,f1323]) ).

fof(f2483,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f2475]) ).

fof(f2475,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(superposition,[],[f2463,f2]) ).

fof(f2509,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2508]) ).

fof(f2508,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2484,f1065]) ).

fof(f2484,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f2474]) ).

fof(f2474,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(superposition,[],[f2463,f1]) ).

fof(f2507,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2506]) ).

fof(f2506,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2505,f1065]) ).

fof(f2505,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2504,f1225]) ).

fof(f2504,plain,
    ( identity != inverse(sk_c11)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2473,f1225]) ).

fof(f2473,plain,
    ( identity != sk_c11
    | identity != inverse(sk_c11)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(superposition,[],[f2463,f713]) ).

fof(f2503,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2502]) ).

fof(f2502,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2501,f1065]) ).

fof(f2501,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2500,f1247]) ).

fof(f2500,plain,
    ( identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2472,f1247]) ).

fof(f2472,plain,
    ( identity != sk_c1
    | identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(superposition,[],[f2463,f705]) ).

fof(f2496,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2495]) ).

fof(f2495,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2494,f1065]) ).

fof(f2494,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2493,f1247]) ).

fof(f2493,plain,
    ( identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2492,f990]) ).

fof(f2492,plain,
    ( identity != inverse(inverse(sk_c11))
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2470,f1247]) ).

fof(f2470,plain,
    ( identity != sk_c1
    | identity != inverse(inverse(sk_c11))
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(superposition,[],[f2463,f534]) ).

fof(f2490,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2489]) ).

fof(f2489,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2488,f1065]) ).

fof(f2488,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2487,f1247]) ).

fof(f2487,plain,
    ( identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2486,f990]) ).

fof(f2486,plain,
    ( identity != inverse(inverse(sk_c11))
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2485,f1323]) ).

fof(f2485,plain,
    ( identity != inverse(inverse(inverse(inverse(sk_c11))))
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2468,f1247]) ).

fof(f2468,plain,
    ( identity != sk_c1
    | identity != inverse(inverse(inverse(inverse(sk_c11))))
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(superposition,[],[f2463,f697]) ).

fof(f2456,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2455]) ).

fof(f2455,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2454,f1065]) ).

fof(f2454,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2453,f1247]) ).

fof(f2453,plain,
    ( identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2452,f990]) ).

fof(f2452,plain,
    ( identity != inverse(inverse(sk_c11))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2451,f1247]) ).

fof(f2451,plain,
    ( identity != sk_c1
    | identity != inverse(inverse(sk_c11))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2412,f705]) ).

fof(f2412,plain,
    ( identity != multiply(sk_c1,identity)
    | identity != inverse(inverse(sk_c11))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(superposition,[],[f2400,f528]) ).

fof(f2400,plain,
    ( ! [X11] :
        ( identity != multiply(X11,identity)
        | identity != inverse(X11) )
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2399,f2317]) ).

fof(f2399,plain,
    ( ! [X11] :
        ( sk_c10 != multiply(X11,identity)
        | identity != inverse(X11) )
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2398,f1225]) ).

fof(f2398,plain,
    ( ! [X11] :
        ( identity != inverse(X11)
        | sk_c10 != multiply(X11,sk_c11) )
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f125,f2317]) ).

fof(f2450,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2449]) ).

fof(f2449,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2448,f1323]) ).

fof(f2448,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2415,f1323]) ).

fof(f2415,plain,
    ( identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f2411]) ).

fof(f2411,plain,
    ( identity != identity
    | identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(superposition,[],[f2400,f995]) ).

fof(f2447,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2446]) ).

fof(f2446,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2416,f1323]) ).

fof(f2416,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f2410]) ).

fof(f2410,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(superposition,[],[f2400,f519]) ).

fof(f2445,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2444]) ).

fof(f2444,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2417,f1323]) ).

fof(f2417,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f2409]) ).

fof(f2409,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(superposition,[],[f2400,f2]) ).

fof(f2443,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2442]) ).

fof(f2442,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2418,f1065]) ).

fof(f2418,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f2408]) ).

fof(f2408,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(superposition,[],[f2400,f1]) ).

fof(f2441,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2440]) ).

fof(f2440,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2439,f1065]) ).

fof(f2439,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2438,f1225]) ).

fof(f2438,plain,
    ( identity != inverse(sk_c11)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2407,f1225]) ).

fof(f2407,plain,
    ( identity != sk_c11
    | identity != inverse(sk_c11)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(superposition,[],[f2400,f713]) ).

fof(f2437,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2436]) ).

fof(f2436,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2435,f1065]) ).

fof(f2435,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2434,f1247]) ).

fof(f2434,plain,
    ( identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2406,f1247]) ).

fof(f2406,plain,
    ( identity != sk_c1
    | identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(superposition,[],[f2400,f705]) ).

fof(f2430,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2429]) ).

fof(f2429,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2428,f1065]) ).

fof(f2428,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2427,f1247]) ).

fof(f2427,plain,
    ( identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2426,f990]) ).

fof(f2426,plain,
    ( identity != inverse(inverse(sk_c11))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2404,f1247]) ).

fof(f2404,plain,
    ( identity != sk_c1
    | identity != inverse(inverse(sk_c11))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(superposition,[],[f2400,f534]) ).

fof(f2424,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2423]) ).

fof(f2423,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2422,f1065]) ).

fof(f2422,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2421,f1247]) ).

fof(f2421,plain,
    ( identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2420,f990]) ).

fof(f2420,plain,
    ( identity != inverse(inverse(sk_c11))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2419,f1323]) ).

fof(f2419,plain,
    ( identity != inverse(inverse(inverse(inverse(sk_c11))))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2402,f1247]) ).

fof(f2402,plain,
    ( identity != sk_c1
    | identity != inverse(inverse(inverse(inverse(sk_c11))))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(superposition,[],[f2400,f697]) ).

fof(f2397,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2396]) ).

fof(f2396,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2391,f1323]) ).

fof(f2391,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f2390]) ).

fof(f2390,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(superposition,[],[f2385,f1088]) ).

fof(f2385,plain,
    ( ! [X5] :
        ( identity != multiply(identity,X5)
        | identity != inverse(X5) )
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2157,f2317]) ).

fof(f2157,plain,
    ( ! [X5] :
        ( sk_c10 != multiply(identity,X5)
        | identity != inverse(X5) )
    | ~ spl0_6
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2156,f1092]) ).

fof(f2156,plain,
    ( ! [X5] :
        ( sk_c10 != multiply(identity,multiply(X5,identity))
        | identity != inverse(X5) )
    | ~ spl0_6
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2155,f1225]) ).

fof(f2155,plain,
    ( ! [X5] :
        ( identity != inverse(X5)
        | sk_c10 != multiply(sk_c11,multiply(X5,sk_c11)) )
    | ~ spl0_6
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f122,f1225]) ).

fof(f2394,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2393]) ).

fof(f2393,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2392,f1065]) ).

fof(f2392,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f2388]) ).

fof(f2388,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(superposition,[],[f2385,f1092]) ).

fof(f2304,plain,
    ( ~ spl0_3
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2303]) ).

fof(f2303,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2302,f1225]) ).

fof(f2302,plain,
    ( identity != sk_c11
    | ~ spl0_3
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2301,f1088]) ).

fof(f2301,plain,
    ( sk_c11 != multiply(sk_c10,inverse(sk_c10))
    | ~ spl0_3
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f164,f1225]) ).

fof(f2300,plain,
    ( ~ spl0_3
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2299]) ).

fof(f2299,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2298,f1088]) ).

fof(f2298,plain,
    ( identity != multiply(sk_c10,inverse(sk_c10))
    | ~ spl0_3
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f175,f1225]) ).

fof(f2292,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2291]) ).

fof(f2291,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2290,f1065]) ).

fof(f2290,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2289,f1247]) ).

fof(f2289,plain,
    ( identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2288,f990]) ).

fof(f2288,plain,
    ( identity != inverse(inverse(sk_c11))
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2287,f1247]) ).

fof(f2287,plain,
    ( identity != sk_c1
    | identity != inverse(inverse(sk_c11))
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2248,f705]) ).

fof(f2248,plain,
    ( identity != multiply(sk_c1,identity)
    | identity != inverse(inverse(sk_c11))
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(superposition,[],[f2236,f528]) ).

fof(f2236,plain,
    ( ! [X3] :
        ( identity != multiply(X3,identity)
        | identity != inverse(X3) )
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2235,f1225]) ).

fof(f2235,plain,
    ( ! [X3] :
        ( sk_c11 != multiply(X3,identity)
        | identity != inverse(X3) )
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2234,f592]) ).

fof(f592,plain,
    ( identity = sk_c10
    | ~ spl0_1
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f585,f413]) ).

fof(f413,plain,
    ( identity = multiply(sk_c11,identity)
    | ~ spl0_1
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f330,f402]) ).

fof(f402,plain,
    ( identity = multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f365,f328]) ).

fof(f365,plain,
    ( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c1,multiply(sk_c11,X0))
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f349,f356]) ).

fof(f356,plain,
    ( sk_c11 = sk_c10
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f354,f351]) ).

fof(f351,plain,
    ( sk_c10 = multiply(sk_c11,sk_c3)
    | spl0_9 ),
    inference(subsumption_resolution,[],[f27,f339]) ).

fof(f339,plain,
    ( sk_c11 != inverse(sk_c6)
    | spl0_9 ),
    inference(avatar_component_clause,[],[f338]) ).

fof(f354,plain,
    ( sk_c11 = multiply(sk_c11,sk_c3)
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f344,f353]) ).

fof(f353,plain,
    ( sk_c3 = multiply(sk_c2,sk_c11)
    | spl0_9 ),
    inference(subsumption_resolution,[],[f37,f339]) ).

fof(f349,plain,
    ( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c1,multiply(sk_c10,X0))
    | spl0_9 ),
    inference(superposition,[],[f3,f347]) ).

fof(f347,plain,
    ( sk_c11 = multiply(sk_c1,sk_c10)
    | spl0_9 ),
    inference(subsumption_resolution,[],[f17,f339]) ).

fof(f585,plain,
    ( sk_c10 = multiply(sk_c11,identity)
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f351,f578]) ).

fof(f578,plain,
    ( identity = sk_c3
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f577,f2]) ).

fof(f577,plain,
    ( sk_c3 = multiply(inverse(sk_c11),sk_c11)
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f543,f356]) ).

fof(f543,plain,
    ( sk_c3 = multiply(inverse(sk_c11),sk_c10)
    | spl0_9 ),
    inference(superposition,[],[f93,f351]) ).

fof(f2286,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2285]) ).

fof(f2285,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2284,f1323]) ).

fof(f2284,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2251,f1323]) ).

fof(f2251,plain,
    ( identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f2247]) ).

fof(f2247,plain,
    ( identity != identity
    | identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(superposition,[],[f2236,f995]) ).

fof(f2283,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2282]) ).

fof(f2282,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2252,f1323]) ).

fof(f2252,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f2246]) ).

fof(f2246,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(superposition,[],[f2236,f519]) ).

fof(f2281,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2280]) ).

fof(f2280,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2253,f1323]) ).

fof(f2253,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f2245]) ).

fof(f2245,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(superposition,[],[f2236,f2]) ).

fof(f2279,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2278]) ).

fof(f2278,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2254,f1065]) ).

fof(f2254,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f2244]) ).

fof(f2244,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(superposition,[],[f2236,f1]) ).

fof(f2277,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2276]) ).

fof(f2276,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2275,f1065]) ).

fof(f2275,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2274,f1225]) ).

fof(f2274,plain,
    ( identity != inverse(sk_c11)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2243,f1225]) ).

fof(f2243,plain,
    ( identity != sk_c11
    | identity != inverse(sk_c11)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(superposition,[],[f2236,f713]) ).

fof(f2273,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2272]) ).

fof(f2272,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2271,f1065]) ).

fof(f2271,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2270,f1247]) ).

fof(f2270,plain,
    ( identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2242,f1247]) ).

fof(f2242,plain,
    ( identity != sk_c1
    | identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(superposition,[],[f2236,f705]) ).

fof(f2266,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2265]) ).

fof(f2265,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2264,f1065]) ).

fof(f2264,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2263,f1247]) ).

fof(f2263,plain,
    ( identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2262,f990]) ).

fof(f2262,plain,
    ( identity != inverse(inverse(sk_c11))
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2240,f1247]) ).

fof(f2240,plain,
    ( identity != sk_c1
    | identity != inverse(inverse(sk_c11))
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(superposition,[],[f2236,f534]) ).

fof(f2260,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2259]) ).

fof(f2259,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2258,f1065]) ).

fof(f2258,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2257,f1247]) ).

fof(f2257,plain,
    ( identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2256,f990]) ).

fof(f2256,plain,
    ( identity != inverse(inverse(sk_c11))
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2255,f1323]) ).

fof(f2255,plain,
    ( identity != inverse(inverse(inverse(inverse(sk_c11))))
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2238,f1247]) ).

fof(f2238,plain,
    ( identity != sk_c1
    | identity != inverse(inverse(inverse(inverse(sk_c11))))
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(superposition,[],[f2236,f697]) ).

fof(f2228,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2227]) ).

fof(f2227,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2226,f1065]) ).

fof(f2226,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2225,f1247]) ).

fof(f2225,plain,
    ( identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2224,f990]) ).

fof(f2224,plain,
    ( identity != inverse(inverse(sk_c11))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2223,f1247]) ).

fof(f2223,plain,
    ( identity != sk_c1
    | identity != inverse(inverse(sk_c11))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2184,f705]) ).

fof(f2184,plain,
    ( identity != multiply(sk_c1,identity)
    | identity != inverse(inverse(sk_c11))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(superposition,[],[f2172,f528]) ).

fof(f2172,plain,
    ( ! [X11] :
        ( identity != multiply(X11,identity)
        | identity != inverse(X11) )
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2171,f592]) ).

fof(f2171,plain,
    ( ! [X11] :
        ( sk_c10 != multiply(X11,identity)
        | identity != inverse(X11) )
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2170,f1225]) ).

fof(f2170,plain,
    ( ! [X11] :
        ( identity != inverse(X11)
        | sk_c10 != multiply(X11,sk_c11) )
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f125,f592]) ).

fof(f2222,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2221]) ).

fof(f2221,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2220,f1323]) ).

fof(f2220,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2187,f1323]) ).

fof(f2187,plain,
    ( identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f2183]) ).

fof(f2183,plain,
    ( identity != identity
    | identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(superposition,[],[f2172,f995]) ).

fof(f2219,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2218]) ).

fof(f2218,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2188,f1323]) ).

fof(f2188,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f2182]) ).

fof(f2182,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(superposition,[],[f2172,f519]) ).

fof(f2217,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2216]) ).

fof(f2216,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2189,f1323]) ).

fof(f2189,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f2181]) ).

fof(f2181,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(superposition,[],[f2172,f2]) ).

fof(f2215,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2214]) ).

fof(f2214,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2190,f1065]) ).

fof(f2190,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f2180]) ).

fof(f2180,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(superposition,[],[f2172,f1]) ).

fof(f2213,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2212]) ).

fof(f2212,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2211,f1065]) ).

fof(f2211,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2210,f1225]) ).

fof(f2210,plain,
    ( identity != inverse(sk_c11)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2179,f1225]) ).

fof(f2179,plain,
    ( identity != sk_c11
    | identity != inverse(sk_c11)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(superposition,[],[f2172,f713]) ).

fof(f2209,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2208]) ).

fof(f2208,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2207,f1065]) ).

fof(f2207,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2206,f1247]) ).

fof(f2206,plain,
    ( identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2178,f1247]) ).

fof(f2178,plain,
    ( identity != sk_c1
    | identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(superposition,[],[f2172,f705]) ).

fof(f2202,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2201]) ).

fof(f2201,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2200,f1065]) ).

fof(f2200,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2199,f1247]) ).

fof(f2199,plain,
    ( identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2198,f990]) ).

fof(f2198,plain,
    ( identity != inverse(inverse(sk_c11))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2176,f1247]) ).

fof(f2176,plain,
    ( identity != sk_c1
    | identity != inverse(inverse(sk_c11))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(superposition,[],[f2172,f534]) ).

fof(f2196,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2195]) ).

fof(f2195,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2194,f1065]) ).

fof(f2194,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2193,f1247]) ).

fof(f2193,plain,
    ( identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2192,f990]) ).

fof(f2192,plain,
    ( identity != inverse(inverse(sk_c11))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2191,f1323]) ).

fof(f2191,plain,
    ( identity != inverse(inverse(inverse(inverse(sk_c11))))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2174,f1247]) ).

fof(f2174,plain,
    ( identity != sk_c1
    | identity != inverse(inverse(inverse(inverse(sk_c11))))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(superposition,[],[f2172,f697]) ).

fof(f2169,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2168]) ).

fof(f2168,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2163,f1323]) ).

fof(f2163,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f2162]) ).

fof(f2162,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(superposition,[],[f2158,f1088]) ).

fof(f2158,plain,
    ( ! [X5] :
        ( identity != multiply(identity,X5)
        | identity != inverse(X5) )
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2157,f592]) ).

fof(f2166,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2165]) ).

fof(f2165,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2164,f1065]) ).

fof(f2164,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f2160]) ).

fof(f2160,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9
    | ~ spl0_13 ),
    inference(superposition,[],[f2158,f1092]) ).

fof(f1926,plain,
    ( ~ spl0_6
    | spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1925]) ).

fof(f1925,plain,
    ( $false
    | ~ spl0_6
    | spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f122,f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f47,f347,f349,f351,f352,f353,f355,f93,f523,f43,f41,f39,f38,f36,f34,f19,f42,f40,f37,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1094,f1102,f1103,f1108,f1110,f1068,f29,f701,f30,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f25,f15,f23,f21,f16,f14,f22,f24,f735,f18,f28,f27,f17,f339]) ).

fof(f735,plain,
    ( sk_c11 != multiply(sk_c1,sk_c10)
    | spl0_10 ),
    inference(avatar_component_clause,[],[f734]) ).

fof(f355,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(sk_c2,multiply(sk_c11,X0))
    | spl0_9 ),
    inference(superposition,[],[f3,f353]) ).

fof(f352,plain,
    ( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c11,multiply(sk_c3,X0))
    | spl0_9 ),
    inference(superposition,[],[f3,f351]) ).

fof(f1924,plain,
    ( spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1923]) ).

fof(f1923,plain,
    ( $false
    | spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f47,f347,f349,f351,f352,f353,f355,f93,f523,f43,f41,f39,f38,f36,f34,f19,f42,f40,f37,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1094,f1102,f1103,f1108,f1110,f1068,f29,f701,f30,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f25,f15,f23,f21,f16,f14,f22,f24,f735,f18,f28,f27,f17,f339]) ).

fof(f1922,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1921]) ).

fof(f1921,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8
    | spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f427,f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f47,f339,f347,f349,f351,f352,f353,f355,f93,f523,f43,f41,f39,f38,f36,f34,f19,f42,f40,f37,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1094,f1102,f1103,f1108,f1110,f1068,f29,f701,f30,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f25,f15,f23,f21,f16,f14,f22,f24,f735,f18,f28,f27,f17]) ).

fof(f427,plain,
    ( identity = sk_c1
    | ~ spl0_1
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f417,f328]) ).

fof(f417,plain,
    ( ! [X0] : multiply(sk_c11,X0) = X0
    | ~ spl0_1
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f330,f399]) ).

fof(f399,plain,
    ( ! [X0] : multiply(sk_c1,X0) = X0
    | ~ spl0_1
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f365,f330]) ).

fof(f1920,plain,
    ( ~ spl0_8
    | spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1919]) ).

fof(f1919,plain,
    ( $false
    | ~ spl0_8
    | spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f578,f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f47,f339,f347,f349,f351,f352,f353,f355,f93,f523,f43,f41,f39,f38,f36,f34,f19,f42,f40,f37,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1094,f1102,f1103,f1108,f1110,f1068,f29,f701,f30,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f25,f15,f23,f21,f16,f14,f22,f24,f735,f18,f28,f27,f17]) ).

fof(f1918,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1917]) ).

fof(f1917,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8
    | spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f429,f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f47,f339,f347,f349,f351,f352,f353,f355,f93,f523,f43,f41,f39,f38,f36,f34,f19,f42,f40,f37,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1094,f1102,f1103,f1108,f1110,f1068,f29,f701,f30,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f25,f15,f23,f21,f16,f14,f22,f24,f735,f18,f28,f27,f17]) ).

fof(f429,plain,
    ( sk_c11 = sk_c3
    | ~ spl0_1
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f417,f354]) ).

fof(f1916,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1915]) ).

fof(f1915,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8
    | spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f431,f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f47,f339,f347,f349,f351,f352,f353,f355,f93,f523,f43,f41,f39,f38,f36,f34,f19,f42,f40,f37,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1094,f1102,f1103,f1108,f1110,f1068,f29,f701,f30,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f25,f15,f23,f21,f16,f14,f22,f24,f735,f18,f28,f27,f17]) ).

fof(f431,plain,
    ( identity = sk_c2
    | ~ spl0_1
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f417,f342]) ).

fof(f1914,plain,
    ( ~ spl0_8
    | spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1913]) ).

fof(f1913,plain,
    ( $false
    | ~ spl0_8
    | spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f356,f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f47,f339,f347,f349,f351,f352,f353,f355,f93,f523,f43,f41,f39,f38,f36,f34,f19,f42,f40,f37,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1094,f1102,f1103,f1108,f1110,f1068,f29,f701,f30,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f25,f15,f23,f21,f16,f14,f22,f24,f735,f18,f28,f27,f17]) ).

fof(f1912,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | spl0_9
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1911]) ).

fof(f1911,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8
    | spl0_9
    | spl0_13 ),
    inference(subsumption_resolution,[],[f1910,f1224]) ).

fof(f1910,plain,
    ( identity = sk_c11
    | ~ spl0_1
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f445,f1065]) ).

fof(f445,plain,
    ( sk_c11 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f61,f427]) ).

fof(f1909,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | spl0_9
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1908]) ).

fof(f1908,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8
    | spl0_9
    | spl0_13 ),
    inference(subsumption_resolution,[],[f571,f1224]) ).

fof(f571,plain,
    ( identity = sk_c11
    | ~ spl0_1
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f570,f2]) ).

fof(f570,plain,
    ( sk_c11 = multiply(inverse(sk_c11),sk_c11)
    | ~ spl0_1
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f537,f356]) ).

fof(f537,plain,
    ( sk_c11 = multiply(inverse(sk_c11),sk_c10)
    | ~ spl0_1
    | spl0_9 ),
    inference(superposition,[],[f93,f348]) ).

fof(f348,plain,
    ( sk_c10 = multiply(sk_c11,sk_c11)
    | ~ spl0_1
    | spl0_9 ),
    inference(superposition,[],[f330,f347]) ).

fof(f1907,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1906]) ).

fof(f1906,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8
    | spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f592,f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f47,f339,f347,f349,f351,f352,f353,f355,f93,f523,f43,f41,f39,f38,f36,f34,f19,f42,f40,f37,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1094,f1102,f1103,f1108,f1110,f1068,f29,f701,f30,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f25,f15,f23,f21,f16,f14,f22,f24,f735,f18,f28,f27,f17]) ).

fof(f1905,plain,
    ( spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1904]) ).

fof(f1904,plain,
    ( $false
    | spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f47,f339,f347,f349,f351,f352,f353,f355,f93,f523,f43,f41,f39,f38,f36,f34,f19,f42,f40,f37,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1094,f1102,f1103,f1108,f1110,f1068,f29,f701,f30,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f25,f15,f23,f21,f16,f14,f22,f24,f735,f18,f28,f27,f17]) ).

fof(f1903,plain,
    ( spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1902]) ).

fof(f1902,plain,
    ( $false
    | spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f47,f339,f347,f349,f351,f352,f353,f355,f93,f523,f43,f41,f39,f38,f36,f34,f19,f42,f40,f37,f17,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1094,f1102,f1103,f1108,f1110,f1068,f29,f701,f30,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f25,f15,f23,f21,f16,f14,f22,f24,f735,f18,f28,f27]) ).

fof(f1901,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1900]) ).

fof(f1900,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8
    | spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f1899,f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f47,f339,f347,f349,f351,f352,f353,f355,f93,f523,f43,f41,f39,f38,f36,f34,f19,f42,f40,f37,f27,f17,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1094,f1102,f1103,f1108,f1110,f1068,f29,f701,f30,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f25,f15,f23,f21,f16,f14,f22,f24,f735,f18,f28]) ).

fof(f1897,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1896]) ).

fof(f1896,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8
    | spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f1174,f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f47,f339,f347,f349,f351,f352,f353,f355,f93,f523,f43,f41,f39,f38,f36,f34,f19,f42,f40,f37,f27,f17,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1094,f1102,f1103,f1108,f1110,f1068,f29,f701,f30,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f25,f15,f23,f21,f16,f14,f22,f24,f735,f18,f28]) ).

fof(f1895,plain,
    ( spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1894]) ).

fof(f1894,plain,
    ( $false
    | spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f47,f339,f347,f349,f351,f352,f353,f355,f93,f523,f43,f41,f39,f38,f36,f34,f19,f42,f40,f37,f27,f17,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1094,f1102,f1103,f1108,f1110,f1068,f29,f701,f30,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f25,f15,f23,f21,f16,f14,f22,f24,f735,f18,f28]) ).

fof(f1893,plain,
    ( spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1892]) ).

fof(f1892,plain,
    ( $false
    | spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f47,f339,f347,f349,f351,f352,f353,f355,f93,f523,f43,f41,f39,f38,f36,f34,f28,f19,f42,f40,f37,f27,f17,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1094,f1102,f1103,f1108,f1110,f1068,f29,f701,f30,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f25,f15,f23,f21,f16,f14,f22,f24,f735,f18]) ).

fof(f1891,plain,
    ( spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1890]) ).

fof(f1890,plain,
    ( $false
    | spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f47,f339,f347,f349,f351,f352,f353,f355,f93,f523,f43,f41,f39,f38,f36,f34,f28,f19,f18,f42,f40,f37,f27,f17,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1094,f1102,f1103,f1108,f1110,f1068,f29,f701,f30,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f25,f15,f23,f21,f16,f14,f22,f24,f735]) ).

fof(f1889,plain,
    ( spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1888]) ).

fof(f1888,plain,
    ( $false
    | spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f47,f339,f347,f349,f351,f352,f353,f355,f93,f523,f43,f41,f39,f38,f36,f34,f28,f19,f18,f42,f40,f37,f27,f17,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1094,f1102,f1103,f1108,f1110,f1068,f29,f701,f30,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f735,f25,f15,f23,f21,f16,f14,f22,f24]) ).

fof(f1887,plain,
    ( spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1886]) ).

fof(f1886,plain,
    ( $false
    | spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f47,f339,f347,f349,f351,f352,f353,f355,f93,f523,f43,f41,f39,f38,f36,f34,f28,f19,f18,f42,f40,f37,f27,f17,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1094,f1102,f1103,f1108,f1110,f1068,f29,f701,f30,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f735,f24,f25,f15,f23,f21,f16,f14,f22]) ).

fof(f1885,plain,
    ( spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1884]) ).

fof(f1884,plain,
    ( $false
    | spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f47,f339,f347,f349,f351,f352,f353,f355,f93,f523,f43,f41,f39,f38,f36,f34,f28,f19,f18,f42,f40,f37,f27,f17,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1094,f1102,f1103,f1108,f1110,f1068,f29,f701,f30,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f735,f24,f22,f25,f15,f23,f21,f16,f14]) ).

fof(f1883,plain,
    ( spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1882]) ).

fof(f1882,plain,
    ( $false
    | spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f47,f339,f347,f349,f351,f352,f353,f355,f93,f523,f43,f41,f39,f38,f36,f34,f28,f19,f18,f42,f40,f37,f27,f17,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1094,f1102,f1103,f1108,f1110,f1068,f29,f701,f30,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f735,f24,f22,f14,f25,f15,f23,f21,f16]) ).

fof(f1881,plain,
    ( spl0_9
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1880]) ).

fof(f1880,plain,
    ( $false
    | spl0_9
    | spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1818,f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f47,f339,f347,f349,f351,f352,f353,f355,f93,f523,f43,f41,f39,f38,f36,f34,f28,f19,f18,f42,f40,f37,f27,f17,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1094,f1102,f1103,f1108,f1110,f1068,f29,f701,f30,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f735,f24,f22,f14,f16,f25,f15,f23,f21]) ).

fof(f1818,plain,
    ( identity = sk_c10
    | sk_c11 = multiply(sk_c1,sk_c10)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f19,f1387]) ).

fof(f1879,plain,
    ( spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1878]) ).

fof(f1878,plain,
    ( $false
    | spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f47,f339,f347,f349,f351,f352,f353,f355,f93,f523,f43,f41,f39,f38,f36,f34,f28,f19,f18,f42,f40,f37,f27,f17,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1094,f1102,f1103,f1108,f1110,f1068,f29,f701,f30,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f735,f24,f22,f14,f16,f25,f15,f23,f21]) ).

fof(f1877,plain,
    ( spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1876]) ).

fof(f1876,plain,
    ( $false
    | spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f47,f339,f347,f349,f351,f352,f353,f355,f93,f523,f43,f41,f39,f38,f36,f34,f28,f19,f18,f42,f40,f37,f27,f17,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1094,f1102,f1103,f1108,f1110,f1068,f29,f701,f30,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f735,f24,f22,f14,f16,f21,f25,f15,f23]) ).

fof(f1875,plain,
    ( spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1874]) ).

fof(f1874,plain,
    ( $false
    | spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f47,f339,f347,f349,f351,f352,f353,f355,f93,f523,f43,f41,f39,f38,f36,f34,f28,f19,f18,f42,f40,f37,f27,f17,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1094,f1102,f1103,f1108,f1110,f1068,f29,f701,f30,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f735,f24,f22,f14,f16,f21,f23,f25,f15]) ).

fof(f1873,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1872]) ).

fof(f1872,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8
    | spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f1773,f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f47,f339,f347,f349,f351,f352,f353,f355,f93,f523,f43,f41,f39,f38,f36,f34,f28,f19,f18,f42,f40,f37,f27,f17,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1094,f1102,f1103,f1108,f1110,f1068,f29,f701,f30,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f735,f24,f22,f14,f16,f21,f23,f15,f25]) ).

fof(f1871,plain,
    ( spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1870]) ).

fof(f1870,plain,
    ( $false
    | spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f47,f339,f347,f349,f351,f352,f353,f355,f93,f523,f43,f41,f39,f38,f36,f34,f28,f19,f18,f42,f40,f37,f27,f17,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1094,f1102,f1103,f1108,f1110,f1068,f29,f701,f30,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f735,f24,f22,f14,f16,f21,f23,f15,f25]) ).

fof(f1869,plain,
    ( ~ spl0_2
    | spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1868]) ).

fof(f1868,plain,
    ( $false
    | ~ spl0_2
    | spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f957,f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f47,f339,f347,f349,f351,f352,f353,f355,f93,f523,f43,f41,f39,f38,f36,f34,f28,f19,f18,f42,f40,f37,f27,f17,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1094,f1102,f1103,f1108,f1110,f1068,f29,f701,f30,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f735,f24,f22,f14,f16,f21,f23,f15,f25]) ).

fof(f957,plain,
    ( sk_c4 = inverse(sk_c5)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f954,f757]) ).

fof(f757,plain,
    ( sk_c4 = multiply(sk_c4,identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f530,f540]) ).

fof(f540,plain,
    ( sk_c4 = multiply(inverse(sk_c5),identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f93,f67]) ).

fof(f530,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c5),X0)
    | ~ spl0_2 ),
    inference(superposition,[],[f93,f96]) ).

fof(f954,plain,
    ( multiply(sk_c4,identity) = inverse(sk_c5)
    | ~ spl0_2 ),
    inference(superposition,[],[f758,f939]) ).

fof(f939,plain,
    ( identity = multiply(sk_c5,inverse(sk_c5))
    | ~ spl0_2 ),
    inference(superposition,[],[f912,f2]) ).

fof(f912,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(inverse(inverse(sk_c5)),X0)
    | ~ spl0_2 ),
    inference(superposition,[],[f696,f758]) ).

fof(f696,plain,
    ( ! [X0] : multiply(inverse(inverse(sk_c5)),multiply(sk_c4,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f695,f1]) ).

fof(f695,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(sk_c5)),multiply(sk_c4,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f645]) ).

fof(f645,plain,
    ( identity = multiply(inverse(inverse(sk_c5)),sk_c4)
    | ~ spl0_2 ),
    inference(superposition,[],[f93,f540]) ).

fof(f758,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c5,X0)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f530,f93]) ).

fof(f1867,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_9
    | spl0_10
    | ~ spl0_12
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1866]) ).

fof(f1866,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_9
    | spl0_10
    | ~ spl0_12
    | spl0_13 ),
    inference(global_subsumption,[],[f1757,f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f47,f339,f347,f349,f351,f352,f353,f355,f93,f523,f43,f41,f39,f38,f36,f34,f28,f19,f18,f42,f40,f37,f27,f17,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1094,f1102,f1103,f1108,f1110,f1068,f29,f701,f30,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f735,f24,f22,f14,f16,f21,f23,f15,f25]) ).

fof(f1757,plain,
    ( sk_c11 = sk_c10
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_12
    | spl0_13 ),
    inference(forward_demodulation,[],[f1756,f713]) ).

fof(f1756,plain,
    ( sk_c10 = multiply(sk_c11,identity)
    | ~ spl0_2
    | ~ spl0_12
    | spl0_13 ),
    inference(forward_demodulation,[],[f1755,f1221]) ).

fof(f1755,plain,
    ( sk_c10 = multiply(sk_c11,sk_c3)
    | ~ spl0_2
    | spl0_13 ),
    inference(subsumption_resolution,[],[f1182,f1224]) ).

fof(f1182,plain,
    ( identity = sk_c11
    | sk_c10 = multiply(sk_c11,sk_c3)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f24,f756]) ).

fof(f756,plain,
    ( identity = multiply(sk_c4,sk_c5)
    | ~ spl0_2 ),
    inference(superposition,[],[f530,f2]) ).

fof(f1865,plain,
    ( ~ spl0_2
    | spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1864]) ).

fof(f1864,plain,
    ( $false
    | ~ spl0_2
    | spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f65,f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f47,f339,f347,f349,f351,f352,f353,f355,f93,f523,f43,f41,f39,f38,f36,f34,f28,f19,f18,f42,f40,f37,f27,f17,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1094,f1102,f1103,f1108,f1110,f1068,f29,f701,f30,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f735,f24,f22,f14,f16,f21,f23,f15,f25]) ).

fof(f1863,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1862]) ).

fof(f1862,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f65,f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f61,f328,f330,f47,f93,f523,f43,f41,f39,f38,f36,f34,f28,f19,f18,f42,f40,f37,f27,f17,f340,f677,f678,f679,f681,f534,f684,f689,f682,f519,f528,f707,f710,f711,f704,f716,f717,f705,f713,f706,f20,f697,f520,f1004,f995,f1066,f1072,f533,f1094,f1102,f1103,f1108,f1110,f1068,f785,f29,f701,f993,f783,f708,f699,f30,f990,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f1821,f735,f24,f22,f14,f16,f21,f23,f1181,f15,f25]) ).

fof(f1181,plain,
    ( sk_c11 = multiply(sk_c1,sk_c10)
    | sk_c10 = multiply(sk_c11,sk_c3)
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f28,f689]) ).

fof(f1821,plain,
    ( sk_c11 = multiply(sk_c1,sk_c10)
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(duplicate_literal_removal,[],[f1820]) ).

fof(f1820,plain,
    ( sk_c11 = multiply(sk_c1,sk_c10)
    | sk_c11 = multiply(sk_c1,sk_c10)
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f18,f689]) ).

fof(f681,plain,
    ( ! [X0] : multiply(sk_c11,multiply(sk_c6,X0)) = X0
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f680,f1]) ).

fof(f680,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(sk_c6,X0))
    | ~ spl0_9 ),
    inference(superposition,[],[f3,f678]) ).

fof(f677,plain,
    ( ! [X0] : multiply(sk_c11,multiply(sk_c6,X0)) = X0
    | ~ spl0_9 ),
    inference(superposition,[],[f93,f340]) ).

fof(f1861,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10
    | ~ spl0_12
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1860]) ).

fof(f1860,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10
    | ~ spl0_12
    | spl0_13 ),
    inference(global_subsumption,[],[f1757,f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f61,f328,f330,f47,f93,f523,f43,f41,f39,f38,f36,f34,f28,f19,f18,f42,f40,f37,f27,f17,f340,f677,f678,f679,f681,f534,f684,f689,f682,f519,f528,f707,f710,f711,f704,f716,f717,f705,f713,f706,f20,f697,f520,f1004,f995,f1066,f1072,f533,f1094,f1102,f1103,f1108,f1110,f1068,f785,f29,f701,f993,f783,f708,f699,f30,f990,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f1821,f735,f24,f22,f14,f16,f21,f23,f1181,f15,f25]) ).

fof(f1859,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1858]) ).

fof(f1858,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f957,f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f61,f328,f330,f47,f93,f523,f43,f41,f39,f38,f36,f34,f28,f19,f18,f42,f40,f37,f27,f17,f340,f677,f678,f679,f681,f534,f684,f689,f682,f519,f528,f707,f710,f711,f704,f716,f717,f705,f713,f706,f20,f697,f520,f1004,f995,f1066,f1072,f533,f1094,f1102,f1103,f1108,f1110,f1068,f785,f29,f701,f993,f783,f708,f699,f30,f990,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f1821,f735,f24,f22,f14,f16,f21,f23,f1181,f15,f25]) ).

fof(f1857,plain,
    ( ~ spl0_1
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1856]) ).

fof(f1856,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f45,f35,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f61,f328,f330,f47,f93,f523,f43,f41,f39,f38,f36,f34,f28,f19,f18,f42,f40,f37,f27,f17,f340,f677,f678,f679,f681,f534,f684,f689,f682,f519,f528,f707,f710,f711,f704,f716,f717,f705,f713,f706,f20,f697,f520,f1004,f995,f1066,f1072,f533,f1094,f1102,f1103,f1108,f1110,f1068,f785,f29,f701,f993,f783,f708,f699,f30,f990,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f1821,f735,f24,f22,f14,f16,f21,f23,f1181,f15,f25]) ).

fof(f1855,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1854]) ).

fof(f1854,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f1773,f45,f35,f25,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f61,f328,f330,f47,f93,f523,f43,f41,f39,f38,f36,f34,f28,f19,f18,f42,f40,f37,f27,f17,f340,f677,f678,f679,f681,f534,f684,f689,f682,f519,f528,f707,f710,f711,f704,f716,f717,f705,f713,f706,f20,f697,f520,f1004,f995,f1066,f1072,f533,f1094,f1102,f1103,f1108,f1110,f1068,f785,f29,f701,f993,f783,f708,f699,f30,f990,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f1821,f735,f24,f22,f14,f16,f21,f23,f1181,f15]) ).

fof(f1853,plain,
    ( ~ spl0_1
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1852]) ).

fof(f1852,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f45,f35,f25,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f61,f328,f330,f47,f93,f523,f43,f41,f39,f38,f36,f34,f28,f19,f18,f42,f40,f37,f27,f17,f340,f677,f678,f679,f681,f534,f684,f689,f682,f519,f528,f707,f710,f711,f704,f716,f717,f705,f713,f706,f20,f697,f520,f1004,f995,f1066,f1072,f533,f1094,f1102,f1103,f1108,f1110,f1068,f785,f29,f701,f993,f783,f708,f699,f30,f990,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f1821,f735,f24,f22,f14,f16,f21,f23,f1181,f15]) ).

fof(f1851,plain,
    ( ~ spl0_1
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1850]) ).

fof(f1850,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f45,f35,f25,f15,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f61,f328,f330,f47,f93,f523,f43,f41,f39,f38,f36,f34,f28,f19,f18,f42,f40,f37,f27,f17,f340,f677,f678,f679,f681,f534,f684,f689,f682,f519,f528,f707,f710,f711,f704,f716,f717,f705,f713,f706,f20,f697,f520,f1004,f995,f1066,f1072,f533,f1094,f1102,f1103,f1108,f1110,f1068,f785,f29,f701,f993,f783,f708,f699,f30,f990,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f1821,f735,f24,f22,f14,f16,f21,f23,f1181]) ).

fof(f1849,plain,
    ( ~ spl0_1
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1848]) ).

fof(f1848,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f45,f35,f25,f15,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f61,f328,f330,f47,f93,f523,f43,f41,f39,f38,f36,f34,f28,f19,f18,f42,f40,f37,f27,f17,f340,f677,f678,f679,f681,f534,f684,f689,f682,f519,f528,f707,f710,f711,f704,f716,f717,f705,f713,f706,f20,f697,f520,f1004,f995,f1066,f1072,f533,f1094,f1102,f1103,f1108,f1110,f1068,f785,f29,f701,f993,f783,f708,f699,f30,f990,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f1181,f1821,f735,f24,f22,f14,f16,f21,f23]) ).

fof(f1847,plain,
    ( ~ spl0_1
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1846]) ).

fof(f1846,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f45,f35,f25,f15,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f61,f328,f330,f47,f93,f523,f43,f41,f39,f38,f36,f34,f28,f19,f18,f42,f40,f37,f27,f17,f340,f677,f678,f679,f681,f534,f684,f689,f682,f519,f528,f707,f710,f711,f704,f716,f717,f705,f713,f706,f20,f697,f520,f1004,f995,f1066,f1072,f533,f1094,f1102,f1103,f1108,f1110,f1068,f785,f29,f701,f993,f783,f708,f699,f30,f990,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f1181,f23,f1821,f735,f24,f22,f14,f16,f21]) ).

fof(f1845,plain,
    ( ~ spl0_1
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1844]) ).

fof(f1844,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1818,f45,f35,f25,f15,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f61,f328,f330,f47,f93,f523,f43,f41,f39,f38,f36,f34,f28,f19,f18,f42,f40,f37,f27,f17,f340,f677,f678,f679,f681,f534,f684,f689,f682,f519,f528,f707,f710,f711,f704,f716,f717,f705,f713,f706,f20,f697,f520,f1004,f995,f1066,f1072,f533,f1094,f1102,f1103,f1108,f1110,f1068,f785,f29,f701,f993,f783,f708,f699,f30,f990,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f1181,f23,f21,f1821,f735,f24,f22,f14,f16]) ).

fof(f1843,plain,
    ( ~ spl0_1
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1842]) ).

fof(f1842,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f45,f35,f25,f15,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f61,f328,f330,f47,f93,f523,f43,f41,f39,f38,f36,f34,f28,f19,f18,f42,f40,f37,f27,f17,f340,f677,f678,f679,f681,f534,f684,f689,f682,f519,f528,f707,f710,f711,f704,f716,f717,f705,f713,f706,f20,f697,f520,f1004,f995,f1066,f1072,f533,f1094,f1102,f1103,f1108,f1110,f1068,f785,f29,f701,f993,f783,f708,f699,f30,f990,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f1181,f23,f21,f1821,f735,f24,f22,f14,f16]) ).

fof(f1841,plain,
    ( ~ spl0_1
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1840]) ).

fof(f1840,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f45,f35,f25,f15,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f61,f328,f330,f47,f93,f523,f43,f41,f39,f38,f36,f34,f28,f19,f18,f42,f40,f37,f27,f17,f340,f677,f678,f679,f681,f534,f684,f689,f682,f519,f528,f707,f710,f711,f704,f716,f717,f705,f713,f706,f20,f697,f520,f1004,f995,f1066,f1072,f533,f1094,f1102,f1103,f1108,f1110,f1068,f785,f29,f701,f993,f783,f708,f699,f30,f990,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f1181,f23,f21,f1821,f16,f735,f24,f22,f14]) ).

fof(f1839,plain,
    ( ~ spl0_1
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1838]) ).

fof(f1838,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f45,f35,f25,f15,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f61,f328,f330,f47,f93,f523,f43,f41,f39,f38,f36,f34,f28,f19,f18,f42,f40,f37,f27,f17,f340,f677,f678,f679,f681,f534,f684,f689,f682,f519,f528,f707,f710,f711,f704,f716,f717,f705,f713,f706,f20,f697,f520,f1004,f995,f1066,f1072,f533,f1094,f1102,f1103,f1108,f1110,f1068,f785,f29,f701,f993,f783,f708,f699,f30,f990,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f1181,f23,f21,f1821,f16,f14,f735,f24,f22]) ).

fof(f1837,plain,
    ( ~ spl0_1
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1836]) ).

fof(f1836,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f45,f35,f25,f15,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f61,f328,f330,f47,f93,f523,f43,f41,f39,f38,f36,f34,f28,f19,f18,f42,f40,f37,f27,f17,f340,f677,f678,f679,f681,f534,f684,f689,f682,f519,f528,f707,f710,f711,f704,f716,f717,f705,f713,f706,f20,f697,f520,f1004,f995,f1066,f1072,f533,f1094,f1102,f1103,f1108,f1110,f1068,f785,f29,f701,f993,f783,f708,f699,f30,f990,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f1181,f23,f21,f1821,f16,f14,f22,f735,f24]) ).

fof(f1835,plain,
    ( ~ spl0_1
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1834]) ).

fof(f1834,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f45,f35,f25,f15,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f61,f328,f330,f47,f93,f523,f43,f41,f39,f38,f36,f34,f28,f19,f18,f42,f40,f37,f27,f17,f340,f677,f678,f679,f681,f534,f684,f689,f682,f519,f528,f707,f710,f711,f704,f716,f717,f705,f713,f706,f20,f697,f520,f1004,f995,f1066,f1072,f533,f1094,f1102,f1103,f1108,f1110,f1068,f785,f29,f701,f993,f783,f708,f699,f30,f990,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f1181,f23,f21,f1821,f16,f14,f22,f24,f735]) ).

fof(f1833,plain,
    ( spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1832]) ).

fof(f1832,plain,
    ( $false
    | spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f45,f35,f25,f15,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f47,f93,f523,f43,f41,f39,f38,f36,f34,f28,f19,f18,f42,f40,f37,f27,f17,f519,f20,f520,f1004,f995,f1066,f1072,f533,f1094,f1102,f1103,f1108,f1110,f1068,f29,f701,f30,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f64,f1789,f1813,f23,f1816,f21,f1817,f16,f1822,f14,f1823,f22,f1824,f24,f1830,f735]) ).

fof(f1812,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1811]) ).

fof(f1811,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | spl0_12 ),
    inference(global_subsumption,[],[f45,f35,f25,f15,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f61,f328,f330,f47,f336,f342,f344,f93,f523,f545,f529,f43,f41,f39,f38,f36,f34,f28,f23,f21,f19,f18,f16,f14,f42,f40,f37,f27,f22,f17,f534,f684,f685,f682,f519,f528,f707,f710,f711,f704,f716,f717,f705,f713,f706,f20,f697,f520,f1004,f995,f1066,f1072,f533,f1094,f1102,f1103,f1108,f1110,f1068,f785,f1172,f29,f701,f993,f783,f708,f699,f1186,f30,f990,f1065,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f64,f1789,f1790,f1179,f24,f1177,f1170,f1168,f1184,f1279,f1220]) ).

fof(f1790,plain,
    ( identity = sk_c3
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f1773,f64]) ).

fof(f1810,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1809]) ).

fof(f1809,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | spl0_12 ),
    inference(global_subsumption,[],[f45,f35,f25,f15,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f61,f328,f330,f47,f336,f342,f344,f93,f523,f545,f529,f43,f41,f39,f38,f36,f34,f28,f23,f21,f19,f18,f16,f14,f42,f40,f37,f27,f22,f17,f534,f684,f685,f682,f519,f528,f707,f710,f711,f704,f716,f717,f705,f713,f706,f20,f697,f520,f1004,f995,f1066,f1072,f533,f1094,f1102,f1103,f1108,f1110,f1068,f785,f1172,f29,f701,f993,f783,f708,f699,f1186,f30,f990,f1065,f1220,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f64,f1789,f1790,f1179,f24,f1177,f1170,f1168,f1184,f1279]) ).

fof(f1808,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1807]) ).

fof(f1807,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f1469,f45,f35,f25,f15,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f61,f328,f330,f47,f336,f342,f344,f93,f523,f545,f529,f43,f41,f39,f38,f36,f34,f28,f23,f21,f19,f18,f16,f14,f42,f40,f37,f27,f22,f17,f534,f684,f685,f682,f519,f528,f707,f710,f711,f704,f716,f717,f705,f713,f706,f20,f697,f520,f1004,f995,f1066,f1072,f533,f1094,f1102,f1103,f1108,f1110,f1068,f785,f1172,f29,f701,f993,f783,f708,f699,f1186,f30,f990,f1065,f1220,f1279,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f64,f1789,f1790,f1179,f24,f1177,f1170,f1168,f1184]) ).

fof(f1806,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1805]) ).

fof(f1805,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f1738,f45,f35,f25,f15,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f61,f328,f330,f47,f336,f342,f344,f93,f523,f545,f529,f43,f41,f39,f38,f36,f34,f28,f23,f21,f19,f18,f16,f14,f42,f40,f37,f27,f22,f17,f534,f684,f685,f682,f519,f528,f707,f710,f711,f704,f716,f717,f705,f713,f706,f20,f697,f520,f1004,f995,f1066,f1072,f533,f1094,f1102,f1103,f1108,f1110,f1068,f785,f1172,f29,f701,f993,f783,f708,f699,f1186,f30,f990,f1065,f1220,f1279,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f64,f1789,f1790,f1179,f24,f1177,f1170,f1168,f1184]) ).

fof(f1738,plain,
    ( identity = sk_c10
    | identity = sk_c3
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1172,f1387]) ).

fof(f1804,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1803]) ).

fof(f1803,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | spl0_12 ),
    inference(global_subsumption,[],[f45,f35,f25,f15,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f61,f328,f330,f47,f336,f342,f344,f93,f523,f545,f529,f43,f41,f39,f38,f36,f34,f28,f23,f21,f19,f18,f16,f14,f42,f40,f37,f27,f22,f17,f534,f684,f685,f682,f519,f528,f707,f710,f711,f704,f716,f717,f705,f713,f706,f20,f697,f520,f1004,f995,f1066,f1072,f533,f1094,f1102,f1103,f1108,f1110,f1068,f785,f1172,f29,f701,f993,f783,f708,f699,f1186,f30,f990,f1065,f1220,f1279,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f33,f31,f26,f64,f1789,f1790,f1179,f24,f1177,f1170,f1168,f1184]) ).

fof(f1802,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1801]) ).

fof(f1801,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | spl0_12 ),
    inference(global_subsumption,[],[f45,f35,f25,f15,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f61,f328,f330,f47,f336,f342,f344,f93,f523,f545,f529,f43,f41,f39,f38,f36,f34,f28,f23,f21,f19,f18,f16,f14,f42,f40,f37,f27,f22,f17,f534,f684,f685,f682,f519,f528,f707,f710,f711,f704,f716,f717,f705,f713,f706,f20,f697,f520,f1004,f995,f1066,f1072,f533,f1094,f1102,f1103,f1108,f1110,f1068,f785,f1172,f29,f701,f993,f783,f708,f699,f1186,f30,f990,f1065,f1220,f1279,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f1184,f33,f31,f26,f64,f1789,f1790,f1179,f24,f1177,f1170,f1168]) ).

fof(f1800,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1799]) ).

fof(f1799,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | spl0_12 ),
    inference(global_subsumption,[],[f45,f35,f25,f15,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f61,f328,f330,f47,f336,f342,f344,f93,f523,f545,f529,f43,f41,f39,f38,f36,f34,f28,f23,f21,f19,f18,f16,f14,f42,f40,f37,f27,f22,f17,f534,f684,f685,f682,f519,f528,f707,f710,f711,f704,f716,f717,f705,f713,f706,f20,f697,f520,f1004,f995,f1066,f1072,f533,f1094,f1102,f1103,f1108,f1110,f1068,f785,f1172,f29,f701,f993,f783,f708,f699,f1186,f30,f990,f1065,f1220,f1279,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f1168,f1184,f33,f31,f26,f64,f1789,f1790,f1179,f24,f1177,f1170]) ).

fof(f1798,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1797]) ).

fof(f1797,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | spl0_12 ),
    inference(global_subsumption,[],[f45,f35,f25,f15,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f61,f328,f330,f47,f336,f342,f344,f93,f523,f545,f529,f43,f41,f39,f38,f36,f34,f28,f23,f21,f19,f18,f16,f14,f42,f40,f37,f27,f22,f17,f534,f684,f685,f682,f519,f528,f707,f710,f711,f704,f716,f717,f705,f713,f706,f20,f697,f520,f1004,f995,f1066,f1072,f533,f1094,f1102,f1103,f1108,f1110,f1068,f785,f1172,f29,f701,f993,f783,f708,f699,f1186,f30,f990,f1065,f1220,f1279,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f1170,f1168,f1184,f33,f31,f26,f64,f1789,f1790,f1179,f24,f1177]) ).

fof(f1796,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1795]) ).

fof(f1795,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | spl0_12 ),
    inference(global_subsumption,[],[f45,f35,f25,f15,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f61,f328,f330,f47,f336,f342,f344,f93,f523,f545,f529,f43,f41,f39,f38,f36,f34,f28,f23,f21,f19,f18,f16,f14,f42,f40,f37,f27,f22,f17,f534,f684,f685,f682,f519,f528,f707,f710,f711,f704,f716,f717,f705,f713,f706,f20,f697,f520,f1004,f995,f1066,f1072,f533,f1094,f1102,f1103,f1108,f1110,f1068,f785,f1172,f29,f701,f993,f783,f708,f699,f1186,f30,f990,f1065,f1220,f1279,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f1177,f1170,f1168,f1184,f33,f31,f26,f64,f1789,f1790,f1179,f24]) ).

fof(f1794,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1793]) ).

fof(f1793,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | spl0_12 ),
    inference(global_subsumption,[],[f45,f35,f25,f15,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f61,f328,f330,f47,f336,f342,f344,f93,f523,f545,f529,f43,f41,f39,f38,f36,f34,f28,f24,f23,f21,f19,f18,f16,f14,f42,f40,f37,f27,f22,f17,f534,f684,f685,f682,f519,f528,f707,f710,f711,f704,f716,f717,f705,f713,f706,f20,f697,f520,f1004,f995,f1066,f1072,f533,f1094,f1102,f1103,f1108,f1110,f1068,f785,f1172,f29,f701,f993,f783,f708,f699,f1186,f30,f990,f1065,f1220,f1279,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f1177,f1170,f1168,f1184,f33,f31,f26,f64,f1789,f1790,f1179]) ).

fof(f1792,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1791]) ).

fof(f1791,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | spl0_12 ),
    inference(global_subsumption,[],[f45,f35,f25,f15,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f61,f328,f330,f47,f336,f342,f344,f93,f523,f545,f529,f43,f41,f39,f38,f36,f34,f28,f24,f23,f21,f19,f18,f16,f14,f42,f40,f37,f27,f22,f17,f534,f684,f685,f682,f519,f528,f707,f710,f711,f704,f716,f717,f705,f713,f706,f20,f697,f520,f1004,f995,f1066,f1072,f533,f1094,f1102,f1103,f1108,f1110,f1068,f785,f1172,f29,f701,f993,f783,f708,f699,f1186,f30,f990,f1065,f1220,f1279,f1092,f1369,f1338,f1381,f1323,f1425,f1426,f1088,f1501,f1540,f1517,f32,f1177,f1170,f1168,f1184,f33,f31,f26,f64,f1789,f1790]) ).

fof(f1788,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_10
    | ~ spl0_12
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1787]) ).

fof(f1787,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_10
    | ~ spl0_12
    | spl0_13 ),
    inference(subsumption_resolution,[],[f1786,f1224]) ).

fof(f1786,plain,
    ( identity = sk_c11
    | ~ spl0_1
    | spl0_2
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1779,f704]) ).

fof(f1779,plain,
    ( sk_c11 = multiply(sk_c1,sk_c11)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(superposition,[],[f736,f1776]) ).

fof(f1776,plain,
    ( sk_c11 = sk_c10
    | ~ spl0_1
    | spl0_2
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1775,f64]) ).

fof(f1775,plain,
    ( sk_c11 = sk_c10
    | sk_c5 = inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1774,f713]) ).

fof(f1774,plain,
    ( sk_c10 = multiply(sk_c11,identity)
    | sk_c5 = inverse(sk_c4)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f25,f1221]) ).

fof(f1785,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_10
    | ~ spl0_12
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1784]) ).

fof(f1784,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_10
    | ~ spl0_12
    | spl0_13 ),
    inference(subsumption_resolution,[],[f1783,f1224]) ).

fof(f1783,plain,
    ( identity = sk_c11
    | ~ spl0_1
    | spl0_2
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1778,f2]) ).

fof(f1778,plain,
    ( sk_c11 = multiply(inverse(sk_c11),sk_c11)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(superposition,[],[f747,f1776]) ).

fof(f1782,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_10
    | ~ spl0_12
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1781]) ).

fof(f1781,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_10
    | ~ spl0_12
    | spl0_13 ),
    inference(subsumption_resolution,[],[f1780,f1224]) ).

fof(f1780,plain,
    ( identity = sk_c11
    | ~ spl0_1
    | spl0_2
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1777,f995]) ).

fof(f1777,plain,
    ( sk_c11 = multiply(inverse(inverse(inverse(sk_c11))),sk_c11)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(superposition,[],[f753,f1776]) ).

fof(f1769,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_12
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1768]) ).

fof(f1768,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_12
    | spl0_13 ),
    inference(subsumption_resolution,[],[f1767,f1224]) ).

fof(f1767,plain,
    ( identity = sk_c11
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_12
    | spl0_13 ),
    inference(forward_demodulation,[],[f1760,f704]) ).

fof(f1760,plain,
    ( sk_c11 = multiply(sk_c1,sk_c11)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_12
    | spl0_13 ),
    inference(superposition,[],[f736,f1757]) ).

fof(f1766,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_12
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1765]) ).

fof(f1765,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_12
    | spl0_13 ),
    inference(subsumption_resolution,[],[f1764,f1224]) ).

fof(f1764,plain,
    ( identity = sk_c11
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_12
    | spl0_13 ),
    inference(forward_demodulation,[],[f1759,f2]) ).

fof(f1759,plain,
    ( sk_c11 = multiply(inverse(sk_c11),sk_c11)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_12
    | spl0_13 ),
    inference(superposition,[],[f747,f1757]) ).

fof(f1763,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_12
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1762]) ).

fof(f1762,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_12
    | spl0_13 ),
    inference(subsumption_resolution,[],[f1761,f1224]) ).

fof(f1761,plain,
    ( identity = sk_c11
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_12
    | spl0_13 ),
    inference(forward_demodulation,[],[f1758,f995]) ).

fof(f1758,plain,
    ( sk_c11 = multiply(inverse(inverse(inverse(sk_c11))),sk_c11)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_12
    | spl0_13 ),
    inference(superposition,[],[f753,f1757]) ).

fof(f1734,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1733]) ).

fof(f1733,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f1732,f1]) ).

fof(f1732,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1681,f1572]) ).

fof(f1572,plain,
    ( identity = sk_c4
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_10
    | spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1557,f2]) ).

fof(f1557,plain,
    ( sk_c4 = multiply(inverse(identity),identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_10
    | spl0_12
    | ~ spl0_13 ),
    inference(superposition,[],[f540,f1546]) ).

fof(f1681,plain,
    ( identity != multiply(sk_c4,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f1656,f530]) ).

fof(f1656,plain,
    ( ! [X9] : identity != multiply(inverse(X9),identity)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f1655,f1253]) ).

fof(f1655,plain,
    ( ! [X9] :
        ( identity != sk_c10
        | identity != multiply(inverse(X9),identity) )
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1654,f1088]) ).

fof(f1654,plain,
    ( ! [X9] :
        ( identity != multiply(inverse(X9),identity)
        | sk_c10 != multiply(X9,inverse(X9)) )
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1653,f1253]) ).

fof(f1653,plain,
    ( ! [X9] :
        ( sk_c10 != multiply(inverse(X9),identity)
        | sk_c10 != multiply(X9,inverse(X9)) )
    | ~ spl0_4
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f116,f1225]) ).

fof(f116,plain,
    ( ! [X9] :
        ( sk_c10 != multiply(inverse(X9),sk_c11)
        | sk_c10 != multiply(X9,inverse(X9)) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f115]) ).

fof(f115,plain,
    ( spl0_4
  <=> ! [X9] :
        ( sk_c10 != multiply(inverse(X9),sk_c11)
        | sk_c10 != multiply(X9,inverse(X9)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f1731,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1730]) ).

fof(f1730,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f1729,f1]) ).

fof(f1729,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1680,f1247]) ).

fof(f1680,plain,
    ( identity != multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f1656,f528]) ).

fof(f1728,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1727]) ).

fof(f1727,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f1678,f1544]) ).

fof(f1678,plain,
    ( identity != multiply(sk_c5,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f1656,f912]) ).

fof(f1726,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1725]) ).

fof(f1725,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f1674,f1450]) ).

fof(f1674,plain,
    ( identity != sk_c7
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(superposition,[],[f1656,f1207]) ).

fof(f1724,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1723]) ).

fof(f1723,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f1673,f1572]) ).

fof(f1673,plain,
    ( identity != sk_c4
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f1656,f540]) ).

fof(f1722,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1721]) ).

fof(f1721,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f1672,f1247]) ).

fof(f1672,plain,
    ( identity != sk_c1
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f1656,f534]) ).

fof(f1720,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1719]) ).

fof(f1719,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f1670,f1546]) ).

fof(f1670,plain,
    ( identity != sk_c5
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f1656,f913]) ).

fof(f913,plain,
    ( sk_c5 = multiply(inverse(inverse(sk_c5)),identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f696,f756]) ).

fof(f1718,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1717]) ).

fof(f1717,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f1669,f1247]) ).

fof(f1669,plain,
    ( identity != sk_c1
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f1656,f697]) ).

fof(f1716,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1715]) ).

fof(f1715,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f1668,f1572]) ).

fof(f1668,plain,
    ( identity != sk_c4
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f1656,f694]) ).

fof(f694,plain,
    ( sk_c4 = multiply(inverse(inverse(inverse(sk_c5))),identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f93,f645]) ).

fof(f1714,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1713]) ).

fof(f1713,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f1712,f1]) ).

fof(f1712,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1667,f1225]) ).

fof(f1667,plain,
    ( identity != multiply(sk_c11,identity)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f1656,f336]) ).

fof(f1711,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1710]) ).

fof(f1710,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f1666,f1]) ).

fof(f1666,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | spl0_12
    | ~ spl0_13 ),
    inference(superposition,[],[f1656,f1289]) ).

fof(f1709,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1708]) ).

fof(f1708,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f1707,f1]) ).

fof(f1707,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1665,f1450]) ).

fof(f1665,plain,
    ( identity != multiply(sk_c7,identity)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(superposition,[],[f1656,f1326]) ).

fof(f1706,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1705]) ).

fof(f1705,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f1664,f1437]) ).

fof(f1664,plain,
    ( identity != multiply(sk_c8,identity)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(superposition,[],[f1656,f740]) ).

fof(f1704,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1703]) ).

fof(f1703,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f1702,f1]) ).

fof(f1702,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1663,f1225]) ).

fof(f1663,plain,
    ( identity != multiply(sk_c11,identity)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f1656,f340]) ).

fof(f1701,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1700]) ).

fof(f1700,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f1699,f1]) ).

fof(f1699,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1662,f1572]) ).

fof(f1662,plain,
    ( identity != multiply(sk_c4,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f1656,f957]) ).

fof(f1698,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1697]) ).

fof(f1697,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f1661,f1544]) ).

fof(f1661,plain,
    ( identity != multiply(sk_c5,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f1656,f65]) ).

fof(f1696,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1695]) ).

fof(f1695,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f1694,f1]) ).

fof(f1694,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1660,f1247]) ).

fof(f1660,plain,
    ( identity != multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f1656,f990]) ).

fof(f1693,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1692]) ).

fof(f1692,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f1691,f1]) ).

fof(f1691,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1659,f1225]) ).

fof(f1659,plain,
    ( identity != multiply(sk_c11,identity)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f1656,f61]) ).

fof(f1690,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1689]) ).

fof(f1689,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f1657,f1]) ).

fof(f1657,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f1656,f1065]) ).

fof(f1688,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1687]) ).

fof(f1687,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f1676]) ).

fof(f1676,plain,
    ( identity != identity
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f1656,f2]) ).

fof(f1686,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1685]) ).

fof(f1685,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f1677]) ).

fof(f1677,plain,
    ( identity != identity
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f1656,f519]) ).

fof(f1684,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1683]) ).

fof(f1683,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f1679]) ).

fof(f1679,plain,
    ( identity != identity
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f1656,f995]) ).

fof(f1226,plain,
    ( spl0_12
    | spl0_13
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f1180,f334,f63,f59,f1223,f1219]) ).

fof(f1180,plain,
    ( identity = sk_c11
    | identity = sk_c3
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1179,f756]) ).

fof(f1166,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1165]) ).

fof(f1165,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(subsumption_resolution,[],[f1164,f1]) ).

fof(f1164,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(forward_demodulation,[],[f1140,f846]) ).

fof(f846,plain,
    ( identity = sk_c1
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(global_subsumption,[],[f45,f35,f25,f15,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f61,f328,f330,f47,f336,f342,f344,f93,f520,f523,f533,f545,f529,f43,f41,f39,f38,f36,f34,f33,f31,f29,f28,f26,f24,f23,f21,f19,f18,f16,f14,f42,f40,f37,f32,f30,f27,f22,f17,f534,f684,f685,f682,f699,f519,f701,f528,f707,f708,f710,f711,f704,f716,f717,f705,f713,f706,f20,f739,f736,f742,f744,f745,f748,f747,f752,f751,f754,f697,f783,f785,f753,f786,f787,f788,f792,f791,f793,f797,f798,f799,f801,f802,f805,f806,f807,f808,f824,f825,f826,f827,f814,f815,f816,f829,f830,f834,f836,f845]) ).

fof(f845,plain,
    ( identity = sk_c1
    | identity = inverse(sk_c9)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(forward_demodulation,[],[f844,f806]) ).

fof(f844,plain,
    ( sk_c1 = sk_c11
    | identity = inverse(sk_c9)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(forward_demodulation,[],[f843,f793]) ).

fof(f843,plain,
    ( sk_c1 = sk_c3
    | identity = inverse(sk_c9)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(forward_demodulation,[],[f842,f705]) ).

fof(f842,plain,
    ( sk_c3 = multiply(sk_c1,identity)
    | identity = inverse(sk_c9)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(forward_demodulation,[],[f841,f685]) ).

fof(f841,plain,
    ( sk_c3 = multiply(sk_c2,identity)
    | identity = inverse(sk_c9)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(forward_demodulation,[],[f840,f806]) ).

fof(f840,plain,
    ( identity = inverse(sk_c9)
    | sk_c3 = multiply(sk_c2,sk_c11)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(forward_demodulation,[],[f839,f806]) ).

fof(f839,plain,
    ( sk_c11 = inverse(sk_c9)
    | sk_c3 = multiply(sk_c2,sk_c11)
    | ~ spl0_1
    | ~ spl0_8
    | spl0_11 ),
    inference(forward_demodulation,[],[f42,f801]) ).

fof(f836,plain,
    ( identity = multiply(inverse(inverse(inverse(identity))),identity)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(forward_demodulation,[],[f835,f806]) ).

fof(f835,plain,
    ( identity = multiply(inverse(inverse(inverse(identity))),sk_c11)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(forward_demodulation,[],[f822,f801]) ).

fof(f822,plain,
    ( identity = multiply(inverse(inverse(inverse(identity))),sk_c10)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(superposition,[],[f753,f806]) ).

fof(f834,plain,
    ( identity = multiply(inverse(inverse(identity)),identity)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(forward_demodulation,[],[f833,f806]) ).

fof(f833,plain,
    ( sk_c11 = multiply(inverse(inverse(identity)),identity)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(forward_demodulation,[],[f821,f801]) ).

fof(f821,plain,
    ( sk_c10 = multiply(inverse(inverse(identity)),identity)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(superposition,[],[f751,f806]) ).

fof(f829,plain,
    ( ! [X0] : multiply(sk_c1,X0) = X0
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(forward_demodulation,[],[f817,f1]) ).

fof(f817,plain,
    ( ! [X0] : multiply(sk_c1,multiply(identity,X0)) = X0
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(superposition,[],[f706,f806]) ).

fof(f816,plain,
    ( identity = multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(superposition,[],[f704,f806]) ).

fof(f815,plain,
    ( sk_c1 = multiply(inverse(inverse(inverse(identity))),identity)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(superposition,[],[f697,f806]) ).

fof(f814,plain,
    ( identity = multiply(inverse(inverse(identity)),sk_c1)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(superposition,[],[f682,f806]) ).

fof(f827,plain,
    ( identity = sk_c1
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(forward_demodulation,[],[f812,f2]) ).

fof(f812,plain,
    ( sk_c1 = multiply(inverse(identity),identity)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(superposition,[],[f534,f806]) ).

fof(f826,plain,
    ( ! [X0] : multiply(sk_c1,X0) = X0
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(forward_demodulation,[],[f811,f519]) ).

fof(f811,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(identity),X0)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(superposition,[],[f528,f806]) ).

fof(f825,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c1,X0)) = X0
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(forward_demodulation,[],[f810,f685]) ).

fof(f810,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c2,X0)) = X0
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(superposition,[],[f344,f806]) ).

fof(f824,plain,
    ( identity = multiply(identity,sk_c1)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(forward_demodulation,[],[f809,f685]) ).

fof(f809,plain,
    ( identity = multiply(identity,sk_c2)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(superposition,[],[f342,f806]) ).

fof(f808,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c1,X0)) = X0
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(superposition,[],[f330,f806]) ).

fof(f807,plain,
    ( identity = multiply(identity,sk_c1)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(superposition,[],[f328,f806]) ).

fof(f805,plain,
    ( identity = sk_c11
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(forward_demodulation,[],[f803,f2]) ).

fof(f803,plain,
    ( sk_c11 = multiply(inverse(sk_c11),sk_c11)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(superposition,[],[f747,f801]) ).

fof(f802,plain,
    ( sk_c11 = multiply(inverse(inverse(inverse(sk_c11))),sk_c11)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(superposition,[],[f753,f801]) ).

fof(f799,plain,
    ( identity = sk_c11
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(superposition,[],[f793,f797]) ).

fof(f798,plain,
    ( identity = sk_c11
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(superposition,[],[f797,f793]) ).

fof(f792,plain,
    ( sk_c11 = sk_c3
    | ~ spl0_1
    | ~ spl0_10
    | spl0_11 ),
    inference(forward_demodulation,[],[f789,f736]) ).

fof(f789,plain,
    ( multiply(sk_c1,sk_c10) = sk_c3
    | ~ spl0_1
    | spl0_11 ),
    inference(superposition,[],[f706,f788]) ).

fof(f1140,plain,
    ( identity != multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(superposition,[],[f1123,f528]) ).

fof(f1123,plain,
    ( ! [X9] : identity != multiply(inverse(X9),identity)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(global_subsumption,[],[f45,f35,f25,f15,f1,f2,f5,f3,f57,f53,f51,f49,f48,f46,f44,f13,f11,f9,f8,f6,f4,f52,f50,f12,f10,f7,f61,f328,f330,f47,f336,f342,f344,f93,f523,f116,f545,f529,f43,f41,f39,f38,f36,f34,f33,f31,f29,f28,f26,f24,f23,f21,f19,f18,f16,f14,f42,f40,f37,f32,f30,f27,f22,f17,f534,f684,f685,f682,f699,f519,f701,f528,f707,f708,f710,f711,f704,f716,f717,f705,f713,f706,f20,f739,f736,f742,f744,f745,f748,f747,f752,f751,f754,f697,f783,f785,f753,f786,f787,f788,f792,f791,f793,f797,f798,f799,f801,f802,f805,f806,f807,f808,f824,f825,f826,f827,f814,f815,f816,f829,f834,f836,f845,f846,f859,f830,f855,f520,f1004,f995,f1066,f1072,f533,f1088,f1092,f1094,f1102,f1103,f1108,f1110,f1040]) ).

fof(f1040,plain,
    ( ! [X9] :
        ( identity != multiply(X9,inverse(X9))
        | identity != multiply(inverse(X9),identity) )
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(forward_demodulation,[],[f1039,f806]) ).

fof(f1039,plain,
    ( ! [X9] :
        ( sk_c11 != multiply(X9,inverse(X9))
        | identity != multiply(inverse(X9),identity) )
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(forward_demodulation,[],[f1038,f801]) ).

fof(f1038,plain,
    ( ! [X9] :
        ( identity != multiply(inverse(X9),identity)
        | sk_c10 != multiply(X9,inverse(X9)) )
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(forward_demodulation,[],[f1037,f806]) ).

fof(f1037,plain,
    ( ! [X9] :
        ( sk_c11 != multiply(inverse(X9),identity)
        | sk_c10 != multiply(X9,inverse(X9)) )
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(forward_demodulation,[],[f1036,f801]) ).

fof(f1036,plain,
    ( ! [X9] :
        ( sk_c10 != multiply(inverse(X9),identity)
        | sk_c10 != multiply(X9,inverse(X9)) )
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(forward_demodulation,[],[f116,f806]) ).

fof(f855,plain,
    ( identity = inverse(identity)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(forward_demodulation,[],[f847,f806]) ).

fof(f847,plain,
    ( sk_c11 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(superposition,[],[f61,f846]) ).

fof(f859,plain,
    ( identity = multiply(inverse(inverse(identity)),identity)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(forward_demodulation,[],[f850,f806]) ).

fof(f850,plain,
    ( identity = multiply(inverse(inverse(sk_c11)),identity)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(superposition,[],[f682,f846]) ).

fof(f1163,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1162]) ).

fof(f1162,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(subsumption_resolution,[],[f1133,f846]) ).

fof(f1133,plain,
    ( identity != sk_c1
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(superposition,[],[f1123,f697]) ).

fof(f1161,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1160]) ).

fof(f1160,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(subsumption_resolution,[],[f1131,f846]) ).

fof(f1131,plain,
    ( identity != sk_c1
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(superposition,[],[f1123,f534]) ).

fof(f1159,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1158]) ).

fof(f1158,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(subsumption_resolution,[],[f1157,f1]) ).

fof(f1157,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(forward_demodulation,[],[f1129,f806]) ).

fof(f1129,plain,
    ( identity != multiply(sk_c11,identity)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(superposition,[],[f1123,f336]) ).

fof(f1156,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1155]) ).

fof(f1155,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(subsumption_resolution,[],[f1154,f1]) ).

fof(f1154,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(forward_demodulation,[],[f1128,f806]) ).

fof(f1128,plain,
    ( identity != multiply(sk_c11,identity)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(superposition,[],[f1123,f340]) ).

fof(f1153,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1152]) ).

fof(f1152,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(subsumption_resolution,[],[f1151,f1]) ).

fof(f1151,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(forward_demodulation,[],[f1125,f806]) ).

fof(f1125,plain,
    ( identity != multiply(sk_c11,identity)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(superposition,[],[f1123,f61]) ).

fof(f1150,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1149]) ).

fof(f1149,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(subsumption_resolution,[],[f1124,f1]) ).

fof(f1124,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(superposition,[],[f1123,f855]) ).

fof(f1148,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1147]) ).

fof(f1147,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(trivial_inequality_removal,[],[f1136]) ).

fof(f1136,plain,
    ( identity != identity
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(superposition,[],[f1123,f2]) ).

fof(f1146,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1145]) ).

fof(f1145,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(trivial_inequality_removal,[],[f1137]) ).

fof(f1137,plain,
    ( identity != identity
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(superposition,[],[f1123,f519]) ).

fof(f1144,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1143]) ).

fof(f1143,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(trivial_inequality_removal,[],[f1139]) ).

fof(f1139,plain,
    ( identity != identity
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(superposition,[],[f1123,f995]) ).

fof(f741,plain,
    ( spl0_10
    | spl0_11 ),
    inference(avatar_split_clause,[],[f20,f738,f734]) ).

fof(f676,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f675]) ).

fof(f675,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | spl0_9 ),
    inference(subsumption_resolution,[],[f674,f1]) ).

fof(f674,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f673,f571]) ).

fof(f673,plain,
    ( identity != multiply(identity,sk_c11)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f655,f445]) ).

fof(f655,plain,
    ( identity != multiply(identity,inverse(identity))
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | spl0_9 ),
    inference(trivial_inequality_removal,[],[f654]) ).

fof(f654,plain,
    ( identity != identity
    | identity != multiply(identity,inverse(identity))
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f643,f2]) ).

fof(f643,plain,
    ( ! [X9] :
        ( identity != multiply(inverse(X9),identity)
        | identity != multiply(X9,inverse(X9)) )
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f642,f571]) ).

fof(f642,plain,
    ( ! [X9] :
        ( sk_c11 != multiply(X9,inverse(X9))
        | identity != multiply(inverse(X9),identity) )
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f641,f356]) ).

fof(f641,plain,
    ( ! [X9] :
        ( identity != multiply(inverse(X9),identity)
        | sk_c10 != multiply(X9,inverse(X9)) )
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f640,f571]) ).

fof(f640,plain,
    ( ! [X9] :
        ( sk_c11 != multiply(inverse(X9),identity)
        | sk_c10 != multiply(X9,inverse(X9)) )
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f639,f356]) ).

fof(f639,plain,
    ( ! [X9] :
        ( sk_c10 != multiply(inverse(X9),identity)
        | sk_c10 != multiply(X9,inverse(X9)) )
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f116,f571]) ).

fof(f672,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f671]) ).

fof(f671,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | spl0_9 ),
    inference(subsumption_resolution,[],[f670,f1]) ).

fof(f670,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f669,f431]) ).

fof(f669,plain,
    ( identity != multiply(sk_c2,identity)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f668,f571]) ).

fof(f668,plain,
    ( identity != multiply(sk_c2,sk_c11)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f667,f336]) ).

fof(f667,plain,
    ( identity != multiply(sk_c2,inverse(sk_c2))
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | spl0_9 ),
    inference(subsumption_resolution,[],[f652,f413]) ).

fof(f652,plain,
    ( identity != multiply(sk_c11,identity)
    | identity != multiply(sk_c2,inverse(sk_c2))
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f643,f336]) ).

fof(f665,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f664]) ).

fof(f664,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | spl0_9 ),
    inference(subsumption_resolution,[],[f663,f402]) ).

fof(f663,plain,
    ( identity != multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f662,f571]) ).

fof(f662,plain,
    ( identity != multiply(sk_c1,sk_c11)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f661,f61]) ).

fof(f661,plain,
    ( identity != multiply(sk_c1,inverse(sk_c1))
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | spl0_9 ),
    inference(subsumption_resolution,[],[f650,f413]) ).

fof(f650,plain,
    ( identity != multiply(sk_c11,identity)
    | identity != multiply(sk_c1,inverse(sk_c1))
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f643,f61]) ).

fof(f660,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f659]) ).

fof(f659,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | spl0_9 ),
    inference(subsumption_resolution,[],[f658,f1]) ).

fof(f658,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f657,f571]) ).

fof(f657,plain,
    ( identity != multiply(identity,sk_c11)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f656,f445]) ).

fof(f656,plain,
    ( identity != multiply(identity,inverse(identity))
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | spl0_9 ),
    inference(subsumption_resolution,[],[f649,f413]) ).

fof(f649,plain,
    ( identity != multiply(sk_c11,identity)
    | identity != multiply(identity,inverse(identity))
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f643,f445]) ).

fof(f341,plain,
    ( spl0_8
    | spl0_9 ),
    inference(avatar_split_clause,[],[f47,f338,f334]) ).

fof(f322,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f321]) ).

fof(f321,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f320,f211]) ).

fof(f211,plain,
    ( sk_c11 = multiply(sk_c7,sk_c11)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f204,f183]) ).

fof(f204,plain,
    ( sk_c10 = multiply(sk_c7,sk_c11)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f77,f197]) ).

fof(f320,plain,
    ( sk_c11 != multiply(sk_c7,sk_c11)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f319,f197]) ).

fof(f319,plain,
    ( sk_c11 != multiply(sk_c7,sk_c8)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f318,f70]) ).

fof(f318,plain,
    ( sk_c11 != multiply(sk_c7,inverse(sk_c7))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f317,f183]) ).

fof(f317,plain,
    ( sk_c11 != sk_c10
    | sk_c11 != multiply(sk_c7,inverse(sk_c7))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f306,f78]) ).

fof(f306,plain,
    ( sk_c11 != multiply(sk_c8,sk_c11)
    | sk_c11 != multiply(sk_c7,inverse(sk_c7))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(superposition,[],[f255,f70]) ).

fof(f255,plain,
    ( ! [X9] :
        ( sk_c11 != multiply(inverse(X9),sk_c11)
        | sk_c11 != multiply(X9,inverse(X9)) )
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f254,f183]) ).

fof(f254,plain,
    ( ! [X9] :
        ( sk_c11 != multiply(inverse(X9),sk_c11)
        | sk_c10 != multiply(X9,inverse(X9)) )
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f116,f183]) ).

fof(f316,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f315]) ).

fof(f315,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f314,f188]) ).

fof(f188,plain,
    ( sk_c11 = multiply(sk_c6,sk_c11)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f76,f183]) ).

fof(f314,plain,
    ( sk_c11 != multiply(sk_c6,sk_c11)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f313,f68]) ).

fof(f313,plain,
    ( sk_c11 != multiply(sk_c6,inverse(sk_c6))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f305,f191]) ).

fof(f191,plain,
    ( sk_c11 = multiply(sk_c11,sk_c11)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f128,f183]) ).

fof(f305,plain,
    ( sk_c11 != multiply(sk_c11,sk_c11)
    | sk_c11 != multiply(sk_c6,inverse(sk_c6))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(superposition,[],[f255,f68]) ).

fof(f312,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f311]) ).

fof(f311,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f310,f74]) ).

fof(f310,plain,
    ( sk_c11 != multiply(sk_c4,sk_c5)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f309,f65]) ).

fof(f309,plain,
    ( sk_c11 != multiply(sk_c4,inverse(sk_c4))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f304,f187]) ).

fof(f187,plain,
    ( sk_c11 = multiply(sk_c5,sk_c11)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f75,f183]) ).

fof(f304,plain,
    ( sk_c11 != multiply(sk_c5,sk_c11)
    | sk_c11 != multiply(sk_c4,inverse(sk_c4))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(superposition,[],[f255,f65]) ).

fof(f168,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_contradiction_clause,[],[f167]) ).

fof(f167,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f166,f74]) ).

fof(f166,plain,
    ( sk_c11 != multiply(sk_c4,sk_c5)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f165,f65]) ).

fof(f165,plain,
    ( sk_c11 != multiply(sk_c4,inverse(sk_c4))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f160,f75]) ).

fof(f160,plain,
    ( sk_c11 != multiply(sk_c5,sk_c10)
    | sk_c11 != multiply(sk_c4,inverse(sk_c4))
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f113,f65]) ).

fof(f126,plain,
    ( spl0_3
    | spl0_4
    | spl0_5
    | spl0_6
    | spl0_5
    | spl0_7 ),
    inference(avatar_split_clause,[],[f57,f124,f118,f121,f118,f115,f112]) ).

fof(f66,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f5,f63,f59]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : GRP224-1 : TPTP v8.2.0. Released v2.5.0.
% 0.13/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36  % Computer : n021.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Sun May 19 04:54:23 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  % (32187)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38  % (32190)WARNING: value z3 for option sas not known
% 0.15/0.38  % (32190)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)
% 0.15/0.38  % (32194)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)
% 0.15/0.38  % (32192)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)
% 0.15/0.38  % (32188)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.39  % (32191)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.39  % (32193)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)
% 0.15/0.39  % (32189)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.39  TRYING [1]
% 0.15/0.39  TRYING [2]
% 0.15/0.40  TRYING [1]
% 0.15/0.40  TRYING [3]
% 0.15/0.40  TRYING [2]
% 0.15/0.41  TRYING [3]
% 0.15/0.41  TRYING [4]
% 0.22/0.43  TRYING [5]
% 0.22/0.44  TRYING [4]
% 0.22/0.48  TRYING [6]
% 0.22/0.52  % (32190)First to succeed.
% 0.22/0.54  % (32190)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-32187"
% 0.22/0.54  % (32190)Refutation found. Thanks to Tanya!
% 0.22/0.54  % SZS status Unsatisfiable for theBenchmark
% 0.22/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.56  % (32190)------------------------------
% 0.22/0.56  % (32190)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.56  % (32190)Termination reason: Refutation
% 0.22/0.56  
% 0.22/0.56  % (32190)Memory used [KB]: 2137
% 0.22/0.56  % (32190)Time elapsed: 0.160 s
% 0.22/0.56  % (32190)Instructions burned: 298 (million)
% 0.22/0.56  % (32187)Success in time 0.191 s
%------------------------------------------------------------------------------