%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GRP346-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n022.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 06:04:35 EDT 2024

% Result   : Unsatisfiable 0.21s 0.49s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
fof(f3994,plain,
    $false,
    inference(avatar_sat_refutation,[],[f48,f206,f233,f763,f842,f966,f1070,f2575,f2591,f2593,f2596,f2779,f2822,f3412,f3660,f3756,f3762,f3765,f3768,f3778,f3786,f3789,f3792,f3794,f3796,f3811,f3813,f3835,f3837,f3839,f3841,f3843,f3845,f3847,f3849,f3851,f3853,f3855,f3857,f3859,f3861,f3863,f3865,f3867,f3869,f3871,f3873,f3875,f3877,f3879,f3881,f3884,f3886,f3888,f3890,f3892,f3894,f3896,f3898,f3900,f3902,f3904,f3906,f3908,f3910,f3912,f3914,f3916,f3918,f3920,f3922,f3924,f3926,f3928,f3930,f3932,f3934,f3936,f3938,f3943,f3945,f3947,f3949,f3951,f3953,f3955,f3957,f3959,f3961,f3963,f3965,f3967,f3969,f3971,f3973,f3975,f3977,f3979,f3981,f3983,f3985,f3987,f3989,f3991,f3993]) ).

fof(f3993,plain,
    ( spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f3992]) ).

fof(f3992,plain,
    ( $false
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f27,f34,f20,f6,f39,f1,f2,f13,f3,f28,f16,f14,f12,f11,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f845,f846,f35,f847,f848,f849,f850,f851,f852,f853,f854,f855,f856,f857,f858,f36,f859,f860,f22,f861,f862,f8,f863,f843,f891,f844,f896,f7,f21,f540,f10,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f26,f33,f5,f24,f18,f23,f19,f9,f4,f37,f32,f38,f30,f25,f31,f227,f46]) ).

fof(f46,plain,
    ( sk_c5 != inverse(sk_c7)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f45]) ).

fof(f45,plain,
    ( spl0_2
  <=> sk_c5 = inverse(sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f227,plain,
    ( sk_c6 != inverse(sk_c2)
    | spl0_4 ),
    inference(avatar_component_clause,[],[f226]) ).

fof(f226,plain,
    ( spl0_4
  <=> sk_c6 = inverse(sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f31,axiom,
    ( sk_c6 = inverse(sk_c2)
    | sk_c7 = inverse(sk_c4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).

fof(f25,axiom,
    ( sk_c6 = inverse(sk_c2)
    | sk_c7 = multiply(sk_c6,sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).

fof(f30,axiom,
    ( sk_c6 = inverse(sk_c2)
    | sk_c5 = multiply(sk_c4,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).

fof(f38,axiom,
    ( sk_c7 = inverse(sk_c4)
    | sk_c6 = multiply(sk_c2,sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).

fof(f32,axiom,
    ( sk_c6 = multiply(sk_c2,sk_c5)
    | sk_c7 = multiply(sk_c6,sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).

fof(f37,axiom,
    ( sk_c5 = multiply(sk_c4,sk_c7)
    | sk_c6 = multiply(sk_c2,sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).

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

fof(f9,axiom,
    ( sk_c5 = multiply(sk_c4,sk_c7)
    | multiply(sk_c6,sk_c7) = sk_c5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).

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

fof(f23,axiom,
    ( sk_c5 = multiply(sk_c4,sk_c7)
    | sk_c7 = multiply(sk_c1,sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).

fof(f18,axiom,
    ( sk_c7 = multiply(sk_c1,sk_c6)
    | sk_c7 = multiply(sk_c6,sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).

fof(f24,axiom,
    ( sk_c7 = inverse(sk_c4)
    | sk_c7 = multiply(sk_c1,sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).

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

fof(f33,axiom,
    ( sk_c6 = multiply(sk_c2,sk_c5)
    | sk_c6 = multiply(sk_c7,sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).

fof(f26,axiom,
    ( sk_c6 = inverse(sk_c2)
    | sk_c6 = multiply(sk_c7,sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).

fof(f3343,plain,
    ! [X2,X0,X1] : multiply(inverse(X0),X1) = multiply(inverse(multiply(X2,multiply(inverse(X1),X0))),X2),
    inference(superposition,[],[f2132,f2082]) ).

fof(f3342,plain,
    ! [X2,X0,X1] : multiply(multiply(X2,multiply(inverse(X1),X0)),multiply(inverse(X0),X1)) = X2,
    inference(superposition,[],[f1836,f2082]) ).

fof(f3341,plain,
    ! [X2,X0,X1] : multiply(multiply(X2,multiply(inverse(X0),X1)),multiply(inverse(X1),X0)) = X2,
    inference(superposition,[],[f1702,f2082]) ).

fof(f3410,plain,
    ! [X2,X0,X1] : multiply(inverse(X0),multiply(X1,inverse(X2))) = inverse(multiply(X2,multiply(inverse(X1),X0))),
    inference(forward_demodulation,[],[f3340,f3]) ).

fof(f3340,plain,
    ! [X2,X0,X1] : inverse(multiply(X2,multiply(inverse(X1),X0))) = multiply(multiply(inverse(X0),X1),inverse(X2)),
    inference(superposition,[],[f1660,f2082]) ).

fof(f3409,plain,
    ! [X2,X0,X1] : multiply(inverse(X2),multiply(inverse(X1),X0)) = multiply(inverse(multiply(X1,X2)),X0),
    inference(forward_demodulation,[],[f3408,f2082]) ).

fof(f3408,plain,
    ! [X2,X0,X1] : multiply(inverse(X2),multiply(inverse(X1),X0)) = inverse(multiply(inverse(X0),multiply(X1,X2))),
    inference(forward_demodulation,[],[f3339,f3]) ).

fof(f3339,plain,
    ! [X2,X0,X1] : inverse(multiply(multiply(inverse(X0),X1),X2)) = multiply(inverse(X2),multiply(inverse(X1),X0)),
    inference(superposition,[],[f1657,f2082]) ).

fof(f3407,plain,
    ! [X2,X0,X1] : inverse(multiply(X2,multiply(inverse(X0),X1))) = multiply(inverse(X1),multiply(X0,inverse(X2))),
    inference(forward_demodulation,[],[f3338,f3]) ).

fof(f3338,plain,
    ! [X2,X0,X1] : inverse(multiply(X2,multiply(inverse(X0),X1))) = multiply(multiply(inverse(X1),X0),inverse(X2)),
    inference(superposition,[],[f1657,f2082]) ).

fof(f3406,plain,
    ! [X2,X0,X1] : multiply(inverse(X0),X1) = multiply(X2,multiply(inverse(multiply(X0,X2)),X1)),
    inference(forward_demodulation,[],[f3405,f2082]) ).

fof(f3405,plain,
    ! [X2,X0,X1] : multiply(inverse(X0),X1) = multiply(X2,inverse(multiply(inverse(X1),multiply(X0,X2)))),
    inference(forward_demodulation,[],[f3337,f3]) ).

fof(f3337,plain,
    ! [X2,X0,X1] : multiply(inverse(X0),X1) = multiply(X2,inverse(multiply(multiply(inverse(X1),X0),X2))),
    inference(superposition,[],[f1612,f2082]) ).

fof(f3404,plain,
    ! [X2,X0,X1] : multiply(multiply(inverse(X0),X1),multiply(inverse(X1),multiply(X0,X2))) = X2,
    inference(forward_demodulation,[],[f3335,f3]) ).

fof(f3335,plain,
    ! [X2,X0,X1] : multiply(multiply(inverse(X0),X1),multiply(multiply(inverse(X1),X0),X2)) = X2,
    inference(superposition,[],[f564,f2082]) ).

fof(f3334,plain,
    ! [X0,X1] : identity = multiply(multiply(inverse(X0),X1),multiply(inverse(X1),X0)),
    inference(superposition,[],[f562,f2082]) ).

fof(f3403,plain,
    ! [X0,X1] : identity = multiply(multiply(inverse(X1),X0),multiply(inverse(X0),X1)),
    inference(forward_demodulation,[],[f3333,f577]) ).

fof(f3333,plain,
    ! [X0,X1] : identity = multiply(inverse(inverse(multiply(inverse(X1),X0))),multiply(inverse(X0),X1)),
    inference(superposition,[],[f524,f2082]) ).

fof(f3401,plain,
    ! [X2,X0,X1] : multiply(multiply(inverse(X1),X0),multiply(inverse(X0),multiply(X1,X2))) = X2,
    inference(forward_demodulation,[],[f3330,f3]) ).

fof(f3330,plain,
    ! [X2,X0,X1] : multiply(multiply(inverse(X1),X0),multiply(multiply(inverse(X0),X1),X2)) = X2,
    inference(superposition,[],[f68,f2082]) ).

fof(f3329,plain,
    ! [X0,X1] : identity = multiply(multiply(inverse(X1),X0),multiply(inverse(X0),X1)),
    inference(superposition,[],[f2,f2082]) ).

fof(f3347,plain,
    ! [X2,X0,X1] : multiply(inverse(X2),multiply(inverse(X0),X1)) = multiply(inverse(multiply(X0,X2)),X1),
    inference(forward_demodulation,[],[f3346,f2082]) ).

fof(f3346,plain,
    ! [X2,X0,X1] : multiply(inverse(X2),multiply(inverse(X0),X1)) = inverse(multiply(inverse(X1),multiply(X0,X2))),
    inference(forward_demodulation,[],[f3297,f3]) ).

fof(f3297,plain,
    ! [X2,X0,X1] : multiply(inverse(X2),multiply(inverse(X0),X1)) = inverse(multiply(multiply(inverse(X1),X0),X2)),
    inference(superposition,[],[f2082,f2082]) ).

fof(f3345,plain,
    ! [X2,X0,X1] : inverse(multiply(X1,multiply(inverse(X0),X2))) = multiply(inverse(X2),multiply(X0,inverse(X1))),
    inference(forward_demodulation,[],[f3296,f3]) ).

fof(f3296,plain,
    ! [X2,X0,X1] : inverse(multiply(multiply(X1,inverse(X0)),X2)) = multiply(inverse(X2),multiply(X0,inverse(X1))),
    inference(superposition,[],[f2082,f1660]) ).

fof(f2082,plain,
    ! [X0,X1] : multiply(inverse(X0),X1) = inverse(multiply(inverse(X1),X0)),
    inference(superposition,[],[f68,f1612]) ).

fof(f3233,plain,
    ! [X2,X0,X1] : multiply(X0,inverse(X1)) = multiply(inverse(multiply(X2,multiply(X1,inverse(X0)))),X2),
    inference(superposition,[],[f2132,f1660]) ).

fof(f3232,plain,
    ! [X2,X0,X1] : multiply(multiply(X2,multiply(X1,inverse(X0))),multiply(X0,inverse(X1))) = X2,
    inference(superposition,[],[f1836,f1660]) ).

fof(f3231,plain,
    ! [X2,X0,X1] : multiply(multiply(X2,multiply(X0,inverse(X1))),multiply(X1,inverse(X0))) = X2,
    inference(superposition,[],[f1702,f1660]) ).

fof(f3293,plain,
    ! [X2,X0,X1] : multiply(inverse(X2),multiply(X1,inverse(X0))) = inverse(multiply(X0,multiply(inverse(X1),X2))),
    inference(forward_demodulation,[],[f3230,f3]) ).

fof(f3230,plain,
    ! [X2,X0,X1] : inverse(multiply(multiply(X0,inverse(X1)),X2)) = multiply(inverse(X2),multiply(X1,inverse(X0))),
    inference(superposition,[],[f1657,f1660]) ).

fof(f3292,plain,
    ! [X2,X0,X1] : inverse(multiply(X2,multiply(X0,inverse(X1)))) = multiply(X1,inverse(multiply(X2,X0))),
    inference(forward_demodulation,[],[f3291,f1657]) ).

fof(f3291,plain,
    ! [X2,X0,X1] : inverse(multiply(X2,multiply(X0,inverse(X1)))) = multiply(X1,multiply(inverse(X0),inverse(X2))),
    inference(forward_demodulation,[],[f3229,f3]) ).

fof(f3229,plain,
    ! [X2,X0,X1] : inverse(multiply(X2,multiply(X0,inverse(X1)))) = multiply(multiply(X1,inverse(X0)),inverse(X2)),
    inference(superposition,[],[f1657,f1660]) ).

fof(f3290,plain,
    ! [X2,X0,X1] : multiply(X0,inverse(X1)) = multiply(X2,inverse(multiply(X1,multiply(inverse(X0),X2)))),
    inference(forward_demodulation,[],[f3228,f3]) ).

fof(f3228,plain,
    ! [X2,X0,X1] : multiply(X0,inverse(X1)) = multiply(X2,inverse(multiply(multiply(X1,inverse(X0)),X2))),
    inference(superposition,[],[f1612,f1660]) ).

fof(f3289,plain,
    ! [X2,X0,X1] : multiply(multiply(X0,inverse(X1)),multiply(X1,multiply(inverse(X0),X2))) = X2,
    inference(forward_demodulation,[],[f3226,f3]) ).

fof(f3226,plain,
    ! [X2,X0,X1] : multiply(multiply(X0,inverse(X1)),multiply(multiply(X1,inverse(X0)),X2)) = X2,
    inference(superposition,[],[f564,f1660]) ).

fof(f3225,plain,
    ! [X0,X1] : identity = multiply(multiply(X0,inverse(X1)),multiply(X1,inverse(X0))),
    inference(superposition,[],[f562,f1660]) ).

fof(f3288,plain,
    ! [X0,X1] : identity = multiply(multiply(X1,inverse(X0)),multiply(X0,inverse(X1))),
    inference(forward_demodulation,[],[f3224,f577]) ).

fof(f3224,plain,
    ! [X0,X1] : identity = multiply(inverse(inverse(multiply(X1,inverse(X0)))),multiply(X0,inverse(X1))),
    inference(superposition,[],[f524,f1660]) ).

fof(f3286,plain,
    ! [X2,X0,X1] : multiply(multiply(X1,inverse(X0)),multiply(X0,multiply(inverse(X1),X2))) = X2,
    inference(forward_demodulation,[],[f3221,f3]) ).

fof(f3221,plain,
    ! [X2,X0,X1] : multiply(multiply(X1,inverse(X0)),multiply(multiply(X0,inverse(X1)),X2)) = X2,
    inference(superposition,[],[f68,f1660]) ).

fof(f3220,plain,
    ! [X0,X1] : identity = multiply(multiply(X1,inverse(X0)),multiply(X0,inverse(X1))),
    inference(superposition,[],[f2,f1660]) ).

fof(f3214,plain,
    ! [X2,X0,X1] : inverse(multiply(X0,multiply(X1,inverse(X2)))) = multiply(X2,inverse(multiply(X0,X1))),
    inference(superposition,[],[f1660,f3]) ).

fof(f3236,plain,
    ! [X2,X0,X1] : inverse(multiply(X2,multiply(X1,inverse(X0)))) = multiply(X0,inverse(multiply(X2,X1))),
    inference(forward_demodulation,[],[f3235,f1657]) ).

fof(f3235,plain,
    ! [X2,X0,X1] : inverse(multiply(X2,multiply(X1,inverse(X0)))) = multiply(X0,multiply(inverse(X1),inverse(X2))),
    inference(forward_demodulation,[],[f3191,f3]) ).

fof(f3191,plain,
    ! [X2,X0,X1] : multiply(multiply(X0,inverse(X1)),inverse(X2)) = inverse(multiply(X2,multiply(X1,inverse(X0)))),
    inference(superposition,[],[f1660,f1660]) ).

fof(f1660,plain,
    ! [X0,X1] : inverse(multiply(X1,inverse(X0))) = multiply(X0,inverse(X1)),
    inference(superposition,[],[f564,f1608]) ).

fof(f2455,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(X1,X0)),X2) = multiply(inverse(X0),multiply(inverse(X1),X2)),
    inference(superposition,[],[f3,f1657]) ).

fof(f2447,plain,
    ! [X0,X1] : inverse(multiply(X1,inverse(X0))) = multiply(X0,inverse(X1)),
    inference(superposition,[],[f450,f1657]) ).

fof(f2436,plain,
    ! [X0,X1] : inverse(multiply(X1,inverse(X0))) = multiply(X0,inverse(X1)),
    inference(superposition,[],[f1657,f450]) ).

fof(f2418,plain,
    ! [X0,X1] : inverse(multiply(inverse(X0),X1)) = multiply(inverse(X1),X0),
    inference(superposition,[],[f1657,f577]) ).

fof(f2406,plain,
    ! [X0,X1] : inverse(multiply(X1,inverse(X0))) = multiply(X0,inverse(X1)),
    inference(superposition,[],[f1657,f577]) ).

fof(f1657,plain,
    ! [X0,X1] : inverse(multiply(X1,X0)) = multiply(inverse(X0),inverse(X1)),
    inference(superposition,[],[f68,f1608]) ).

fof(f2349,plain,
    ! [X0,X1] : multiply(X1,X0) = inverse(multiply(inverse(X0),inverse(X1))),
    inference(superposition,[],[f1836,f2132]) ).

fof(f2347,plain,
    ! [X2,X0,X1] : multiply(X1,X2) = multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,X2)),
    inference(superposition,[],[f3,f2132]) ).

fof(f2343,plain,
    ! [X0,X1] : multiply(X1,inverse(X0)) = inverse(multiply(X0,inverse(X1))),
    inference(superposition,[],[f1702,f2132]) ).

fof(f2337,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(X0,multiply(X1,inverse(X2)))),multiply(X0,X1)) = X2,
    inference(superposition,[],[f2132,f3]) ).

fof(f2132,plain,
    ! [X0,X1] : multiply(inverse(multiply(X1,inverse(X0))),X1) = X0,
    inference(forward_demodulation,[],[f2063,f577]) ).

fof(f2063,plain,
    ! [X0,X1] : multiply(inverse(multiply(X1,inverse(X0))),inverse(inverse(X1))) = X0,
    inference(superposition,[],[f1612,f1608]) ).

fof(f2214,plain,
    ! [X0,X1] : inverse(multiply(inverse(X0),X1)) = multiply(inverse(X1),X0),
    inference(superposition,[],[f1836,f1706]) ).

fof(f2212,plain,
    ! [X2,X0,X1] : multiply(inverse(X1),X2) = multiply(inverse(multiply(X0,X1)),multiply(X0,X2)),
    inference(superposition,[],[f3,f1706]) ).

fof(f2208,plain,
    ! [X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(X1),inverse(X0)),
    inference(superposition,[],[f1702,f1706]) ).

fof(f2186,plain,
    ! [X0,X1] : inverse(multiply(inverse(X0),X1)) = multiply(inverse(X1),X0),
    inference(superposition,[],[f1706,f564]) ).

fof(f2185,plain,
    ! [X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(X1),inverse(X0)),
    inference(superposition,[],[f1706,f68]) ).

fof(f2176,plain,
    ! [X2,X0,X1] : inverse(X2) = multiply(inverse(multiply(X0,multiply(X1,X2))),multiply(X0,X1)),
    inference(superposition,[],[f1706,f3]) ).

fof(f1706,plain,
    ! [X0,X1] : inverse(X0) = multiply(inverse(multiply(X1,X0)),X1),
    inference(forward_demodulation,[],[f1631,f577]) ).

fof(f1631,plain,
    ! [X0,X1] : inverse(X0) = multiply(inverse(multiply(X1,X0)),inverse(inverse(X1))),
    inference(superposition,[],[f1608,f1608]) ).

fof(f2086,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,inverse(multiply(inverse(X2),multiply(X0,X1))))) = X2,
    inference(superposition,[],[f3,f1612]) ).

fof(f2085,plain,
    ! [X0,X1] : multiply(X0,X1) = inverse(multiply(inverse(X1),inverse(X0))),
    inference(superposition,[],[f564,f1612]) ).

fof(f2083,plain,
    ! [X2,X0,X1] : multiply(X1,X2) = multiply(X0,multiply(inverse(multiply(inverse(X1),X0)),X2)),
    inference(superposition,[],[f3,f1612]) ).

fof(f2081,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(inverse(multiply(inverse(X1),X0)),inverse(X1))),
    inference(superposition,[],[f669,f1612]) ).

fof(f2080,plain,
    ! [X0,X1] : inverse(X0) = multiply(inverse(multiply(inverse(X1),X0)),inverse(X1)),
    inference(superposition,[],[f1608,f1612]) ).

fof(f2068,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,inverse(multiply(inverse(X2),multiply(X0,X1))))) = X2,
    inference(superposition,[],[f1612,f3]) ).

fof(f2064,plain,
    ! [X0,X1] : multiply(inverse(multiply(inverse(X1),inverse(X0))),inverse(X1)) = X0,
    inference(superposition,[],[f1612,f1612]) ).

fof(f1612,plain,
    ! [X0,X1] : multiply(X1,inverse(multiply(inverse(X0),X1))) = X0,
    inference(forward_demodulation,[],[f1488,f563]) ).

fof(f1488,plain,
    ! [X0,X1] : multiply(X0,identity) = multiply(X1,inverse(multiply(inverse(X0),X1))),
    inference(superposition,[],[f564,f669]) ).

fof(f1988,plain,
    ! [X2,X0,X1] : multiply(X0,X2) = multiply(multiply(X0,inverse(X1)),multiply(X1,X2)),
    inference(superposition,[],[f3,f1836]) ).

fof(f1987,plain,
    ! [X0,X1] : multiply(inverse(multiply(X0,inverse(X1))),X0) = X1,
    inference(superposition,[],[f68,f1836]) ).

fof(f1986,plain,
    ! [X0,X1] : identity = multiply(multiply(X0,inverse(X1)),multiply(X1,inverse(X0))),
    inference(superposition,[],[f669,f1836]) ).

fof(f1985,plain,
    ! [X0,X1] : multiply(X1,inverse(X0)) = inverse(multiply(X0,inverse(X1))),
    inference(superposition,[],[f1608,f1836]) ).

fof(f1982,plain,
    ! [X2,X0,X1] : multiply(X0,X1) = multiply(multiply(X0,multiply(X1,inverse(X2))),X2),
    inference(superposition,[],[f1836,f3]) ).

fof(f1836,plain,
    ! [X0,X1] : multiply(multiply(X1,inverse(X0)),X0) = X1,
    inference(superposition,[],[f1702,f577]) ).

fof(f1851,plain,
    ! [X2,X0,X1] : multiply(multiply(X0,X1),multiply(inverse(X1),X2)) = multiply(X0,X2),
    inference(superposition,[],[f3,f1702]) ).

fof(f1850,plain,
    ! [X0,X1] : inverse(X1) = multiply(inverse(multiply(X0,X1)),X0),
    inference(superposition,[],[f68,f1702]) ).

fof(f1849,plain,
    ! [X0,X1] : identity = multiply(multiply(X0,X1),multiply(inverse(X1),inverse(X0))),
    inference(superposition,[],[f669,f1702]) ).

fof(f1848,plain,
    ! [X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(X1),inverse(X0)),
    inference(superposition,[],[f1608,f1702]) ).

fof(f1817,plain,
    ! [X0,X1] : multiply(X1,inverse(multiply(inverse(X0),X1))) = X0,
    inference(superposition,[],[f1702,f564]) ).

fof(f1807,plain,
    ! [X2,X0,X1] : multiply(X0,X1) = multiply(multiply(X0,multiply(X1,X2)),inverse(X2)),
    inference(superposition,[],[f1702,f3]) ).

fof(f1702,plain,
    ! [X0,X1] : multiply(multiply(X0,X1),inverse(X1)) = X0,
    inference(forward_demodulation,[],[f1627,f577]) ).

fof(f1627,plain,
    ! [X0,X1] : inverse(inverse(X0)) = multiply(multiply(X0,X1),inverse(X1)),
    inference(superposition,[],[f1608,f68]) ).

fof(f1661,plain,
    ! [X2,X0,X1] : inverse(X2) = multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1))))),
    inference(superposition,[],[f3,f1608]) ).

fof(f1658,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(inverse(multiply(X1,X0)),X2)) = multiply(inverse(X1),X2),
    inference(superposition,[],[f3,f1608]) ).

fof(f1778,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(inverse(multiply(X1,X0)),X1)),
    inference(forward_demodulation,[],[f1656,f577]) ).

fof(f1656,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(inverse(multiply(X1,X0)),inverse(inverse(X1)))),
    inference(superposition,[],[f669,f1608]) ).

fof(f1647,plain,
    ! [X2,X0,X1] : inverse(X2) = multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1))))),
    inference(superposition,[],[f1608,f3]) ).

fof(f1628,plain,
    ! [X0,X1] : inverse(X0) = multiply(multiply(inverse(X0),X1),inverse(X1)),
    inference(superposition,[],[f1608,f564]) ).

fof(f1618,plain,
    ! [X2,X0,X1] : inverse(multiply(X0,X1)) = multiply(X2,inverse(multiply(X0,multiply(X1,X2)))),
    inference(superposition,[],[f1608,f3]) ).

fof(f1608,plain,
    ! [X0,X1] : inverse(X0) = multiply(X1,inverse(multiply(X0,X1))),
    inference(forward_demodulation,[],[f1485,f563]) ).

fof(f1485,plain,
    ! [X0,X1] : multiply(inverse(X0),identity) = multiply(X1,inverse(multiply(X0,X1))),
    inference(superposition,[],[f68,f669]) ).

fof(f1613,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(X0,multiply(X1,X2)))))),
    inference(forward_demodulation,[],[f1489,f3]) ).

fof(f1489,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(multiply(X0,X1),X2))))),
    inference(superposition,[],[f3,f669]) ).

fof(f1610,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
    inference(forward_demodulation,[],[f1609,f3]) ).

fof(f1609,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,inverse(multiply(X0,X1))),X2)) = X2,
    inference(forward_demodulation,[],[f1486,f1]) ).

fof(f1486,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,inverse(multiply(X0,X1))),X2)) = multiply(identity,X2),
    inference(superposition,[],[f3,f669]) ).

fof(f1566,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(X0,multiply(X1,X2)))))),
    inference(forward_demodulation,[],[f1469,f3]) ).

fof(f1469,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(multiply(X0,X1),X2))))),
    inference(superposition,[],[f669,f3]) ).

fof(f1458,plain,
    ! [X2,X0,X1] : identity = multiply(X2,multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1)))))),
    inference(superposition,[],[f669,f3]) ).

fof(f1430,plain,
    ! [X2,X0,X1] : identity = multiply(multiply(X0,X1),multiply(X2,inverse(multiply(X0,multiply(X1,X2))))),
    inference(superposition,[],[f669,f3]) ).

fof(f669,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
    inference(superposition,[],[f562,f3]) ).

fof(f10,axiom,
    ( sk_c7 = inverse(sk_c4)
    | multiply(sk_c6,sk_c7) = sk_c5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).

fof(f540,plain,
    identity = inverse(identity),
    inference(superposition,[],[f524,f439]) ).

fof(f21,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | sk_c7 = multiply(sk_c1,sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).

fof(f7,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | multiply(sk_c6,sk_c7) = sk_c5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).

fof(f896,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c1,multiply(sk_c6,X0))
    | spl0_2 ),
    inference(superposition,[],[f3,f844]) ).

fof(f844,plain,
    ( sk_c7 = multiply(sk_c1,sk_c6)
    | spl0_2 ),
    inference(subsumption_resolution,[],[f20,f46]) ).

fof(f891,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,multiply(sk_c7,X0))
    | spl0_2 ),
    inference(superposition,[],[f3,f843]) ).

fof(f843,plain,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | spl0_2 ),
    inference(subsumption_resolution,[],[f6,f46]) ).

fof(f863,plain,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | spl0_2 ),
    inference(global_subsumption,[],[f27,f34,f20,f6,f39,f1,f2,f13,f3,f30,f28,f26,f25,f16,f14,f12,f11,f31,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f669,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f540,f438,f46,f843,f844,f845,f37,f846,f35,f847,f33,f848,f32,f849,f23,f850,f21,f851,f19,f852,f18,f853,f9,f854,f7,f855,f5,f856,f4,f857,f38,f858,f36,f859,f24,f860,f22,f861,f10,f862,f8]) ).

fof(f8,axiom,
    ( sk_c6 = inverse(sk_c3)
    | multiply(sk_c6,sk_c7) = sk_c5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).

fof(f862,plain,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | spl0_2 ),
    inference(global_subsumption,[],[f27,f34,f20,f6,f39,f1,f2,f13,f3,f30,f28,f26,f25,f16,f14,f12,f11,f8,f31,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f669,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f540,f438,f46,f843,f844,f845,f37,f846,f35,f847,f33,f848,f32,f849,f23,f850,f21,f851,f19,f852,f18,f853,f9,f854,f7,f855,f5,f856,f4,f857,f38,f858,f36,f859,f24,f860,f22,f861,f10]) ).

fof(f861,plain,
    ( sk_c7 = multiply(sk_c1,sk_c6)
    | spl0_2 ),
    inference(global_subsumption,[],[f27,f34,f20,f6,f39,f1,f2,f13,f3,f30,f28,f26,f25,f16,f14,f12,f11,f10,f8,f31,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f669,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f540,f438,f46,f843,f844,f845,f37,f846,f35,f847,f33,f848,f32,f849,f23,f850,f21,f851,f19,f852,f18,f853,f9,f854,f7,f855,f5,f856,f4,f857,f38,f858,f36,f859,f24,f860,f22]) ).

fof(f22,axiom,
    ( sk_c6 = inverse(sk_c3)
    | sk_c7 = multiply(sk_c1,sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).

fof(f860,plain,
    ( sk_c7 = multiply(sk_c1,sk_c6)
    | spl0_2 ),
    inference(global_subsumption,[],[f27,f34,f20,f6,f39,f1,f2,f13,f3,f30,f28,f26,f25,f22,f16,f14,f12,f11,f10,f8,f31,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f669,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f540,f438,f46,f843,f844,f845,f37,f846,f35,f847,f33,f848,f32,f849,f23,f850,f21,f851,f19,f852,f18,f853,f9,f854,f7,f855,f5,f856,f4,f857,f38,f858,f36,f859,f24]) ).

fof(f859,plain,
    ( sk_c6 = multiply(sk_c2,sk_c5)
    | spl0_2 ),
    inference(global_subsumption,[],[f27,f34,f20,f6,f39,f1,f2,f13,f3,f30,f28,f26,f25,f24,f22,f16,f14,f12,f11,f10,f8,f31,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f669,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f540,f438,f46,f843,f844,f845,f37,f846,f35,f847,f33,f848,f32,f849,f23,f850,f21,f851,f19,f852,f18,f853,f9,f854,f7,f855,f5,f856,f4,f857,f38,f858,f36]) ).

fof(f36,axiom,
    ( sk_c6 = inverse(sk_c3)
    | sk_c6 = multiply(sk_c2,sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).

fof(f858,plain,
    ( sk_c6 = multiply(sk_c2,sk_c5)
    | spl0_2 ),
    inference(global_subsumption,[],[f27,f34,f20,f6,f39,f1,f2,f13,f3,f36,f30,f28,f26,f25,f24,f22,f16,f14,f12,f11,f10,f8,f31,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f669,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f540,f438,f46,f843,f844,f845,f37,f846,f35,f847,f33,f848,f32,f849,f23,f850,f21,f851,f19,f852,f18,f853,f9,f854,f7,f855,f5,f856,f4,f857,f38]) ).

fof(f857,plain,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | spl0_2 ),
    inference(global_subsumption,[],[f27,f34,f20,f6,f39,f1,f2,f13,f3,f38,f36,f30,f28,f26,f25,f24,f22,f16,f14,f12,f11,f10,f8,f31,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f669,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f540,f438,f46,f843,f844,f845,f37,f846,f35,f847,f33,f848,f32,f849,f23,f850,f21,f851,f19,f852,f18,f853,f9,f854,f7,f855,f5,f856,f4]) ).

fof(f856,plain,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | spl0_2 ),
    inference(global_subsumption,[],[f27,f34,f20,f6,f39,f1,f2,f13,f3,f4,f38,f36,f30,f28,f26,f25,f24,f22,f16,f14,f12,f11,f10,f8,f31,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f669,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f540,f438,f46,f843,f844,f845,f37,f846,f35,f847,f33,f848,f32,f849,f23,f850,f21,f851,f19,f852,f18,f853,f9,f854,f7,f855,f5]) ).

fof(f855,plain,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | spl0_2 ),
    inference(global_subsumption,[],[f27,f34,f20,f6,f39,f1,f2,f13,f3,f5,f4,f38,f36,f30,f28,f26,f25,f24,f22,f16,f14,f12,f11,f10,f8,f31,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f669,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f540,f438,f46,f843,f844,f845,f37,f846,f35,f847,f33,f848,f32,f849,f23,f850,f21,f851,f19,f852,f18,f853,f9,f854,f7]) ).

fof(f854,plain,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | spl0_2 ),
    inference(global_subsumption,[],[f27,f34,f20,f6,f39,f1,f2,f13,f3,f7,f5,f4,f38,f36,f30,f28,f26,f25,f24,f22,f16,f14,f12,f11,f10,f8,f31,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f669,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f540,f438,f46,f843,f844,f845,f37,f846,f35,f847,f33,f848,f32,f849,f23,f850,f21,f851,f19,f852,f18,f853,f9]) ).

fof(f853,plain,
    ( sk_c7 = multiply(sk_c1,sk_c6)
    | spl0_2 ),
    inference(global_subsumption,[],[f27,f34,f20,f6,f39,f1,f2,f13,f3,f9,f7,f5,f4,f38,f36,f30,f28,f26,f25,f24,f22,f16,f14,f12,f11,f10,f8,f31,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f669,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f540,f438,f46,f843,f844,f845,f37,f846,f35,f847,f33,f848,f32,f849,f23,f850,f21,f851,f19,f852,f18]) ).

fof(f852,plain,
    ( sk_c7 = multiply(sk_c1,sk_c6)
    | spl0_2 ),
    inference(global_subsumption,[],[f27,f34,f20,f6,f39,f1,f2,f13,f3,f18,f9,f7,f5,f4,f38,f36,f30,f28,f26,f25,f24,f22,f16,f14,f12,f11,f10,f8,f31,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f669,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f540,f438,f46,f843,f844,f845,f37,f846,f35,f847,f33,f848,f32,f849,f23,f850,f21,f851,f19]) ).

fof(f851,plain,
    ( sk_c7 = multiply(sk_c1,sk_c6)
    | spl0_2 ),
    inference(global_subsumption,[],[f27,f34,f20,f6,f39,f1,f2,f13,f3,f19,f18,f9,f7,f5,f4,f38,f36,f30,f28,f26,f25,f24,f22,f16,f14,f12,f11,f10,f8,f31,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f669,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f540,f438,f46,f843,f844,f845,f37,f846,f35,f847,f33,f848,f32,f849,f23,f850,f21]) ).

fof(f850,plain,
    ( sk_c7 = multiply(sk_c1,sk_c6)
    | spl0_2 ),
    inference(global_subsumption,[],[f27,f34,f20,f6,f39,f1,f2,f13,f3,f21,f19,f18,f9,f7,f5,f4,f38,f36,f30,f28,f26,f25,f24,f22,f16,f14,f12,f11,f10,f8,f31,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f669,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f540,f438,f46,f843,f844,f845,f37,f846,f35,f847,f33,f848,f32,f849,f23]) ).

fof(f849,plain,
    ( sk_c6 = multiply(sk_c2,sk_c5)
    | spl0_2 ),
    inference(global_subsumption,[],[f27,f34,f20,f6,f39,f1,f2,f13,f3,f23,f21,f19,f18,f9,f7,f5,f4,f38,f36,f30,f28,f26,f25,f24,f22,f16,f14,f12,f11,f10,f8,f31,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f669,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f540,f438,f46,f843,f844,f845,f37,f846,f35,f847,f33,f848,f32]) ).

fof(f848,plain,
    ( sk_c6 = multiply(sk_c2,sk_c5)
    | spl0_2 ),
    inference(global_subsumption,[],[f27,f34,f20,f6,f39,f1,f2,f13,f3,f32,f23,f21,f19,f18,f9,f7,f5,f4,f38,f36,f30,f28,f26,f25,f24,f22,f16,f14,f12,f11,f10,f8,f31,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f669,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f540,f438,f46,f843,f844,f845,f37,f846,f35,f847,f33]) ).

fof(f847,plain,
    ( sk_c6 = multiply(sk_c2,sk_c5)
    | spl0_2 ),
    inference(global_subsumption,[],[f27,f34,f20,f6,f39,f1,f2,f13,f3,f33,f32,f23,f21,f19,f18,f9,f7,f5,f4,f38,f36,f30,f28,f26,f25,f24,f22,f16,f14,f12,f11,f10,f8,f31,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f669,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f540,f438,f46,f843,f844,f845,f37,f846,f35]) ).

fof(f35,axiom,
    ( sk_c6 = multiply(sk_c2,sk_c5)
    | sk_c7 = multiply(sk_c3,sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).

fof(f846,plain,
    ( sk_c6 = multiply(sk_c2,sk_c5)
    | spl0_2 ),
    inference(global_subsumption,[],[f27,f34,f20,f6,f39,f1,f2,f13,f3,f35,f33,f32,f23,f21,f19,f18,f9,f7,f5,f4,f38,f36,f30,f28,f26,f25,f24,f22,f16,f14,f12,f11,f10,f8,f31,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f669,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f540,f438,f46,f843,f844,f845,f37]) ).

fof(f845,plain,
    ( sk_c6 = multiply(sk_c2,sk_c5)
    | spl0_2 ),
    inference(subsumption_resolution,[],[f34,f46]) ).

fof(f438,plain,
    ! [X0] : multiply(inverse(identity),X0) = X0,
    inference(superposition,[],[f68,f1]) ).

fof(f543,plain,
    identity = inverse(identity),
    inference(superposition,[],[f439,f524]) ).

fof(f580,plain,
    identity = inverse(identity),
    inference(superposition,[],[f563,f2]) ).

fof(f768,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f581,f577]) ).

fof(f581,plain,
    identity = inverse(inverse(inverse(identity))),
    inference(superposition,[],[f563,f524]) ).

fof(f588,plain,
    identity = inverse(identity),
    inference(superposition,[],[f2,f563]) ).

fof(f767,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f589,f577]) ).

fof(f589,plain,
    identity = inverse(inverse(inverse(identity))),
    inference(superposition,[],[f524,f563]) ).

fof(f666,plain,
    identity = inverse(identity),
    inference(superposition,[],[f562,f1]) ).

fof(f670,plain,
    identity = inverse(identity),
    inference(superposition,[],[f1,f562]) ).

fof(f721,plain,
    ! [X0] : multiply(inverse(identity),X0) = X0,
    inference(superposition,[],[f564,f1]) ).

fof(f725,plain,
    ! [X0] : multiply(inverse(identity),X0) = X0,
    inference(superposition,[],[f1,f564]) ).

fof(f734,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
    inference(superposition,[],[f3,f564]) ).

fof(f724,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
    inference(superposition,[],[f564,f3]) ).

fof(f564,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f450,f68]) ).

fof(f680,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
    inference(superposition,[],[f3,f562]) ).

fof(f705,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(forward_demodulation,[],[f678,f1]) ).

fof(f678,plain,
    ! [X0,X1] : multiply(identity,X1) = multiply(X0,multiply(inverse(X0),X1)),
    inference(superposition,[],[f3,f562]) ).

fof(f562,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f450,f2]) ).

fof(f629,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f2,f577]) ).

fof(f628,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f68,f577]) ).

fof(f577,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(superposition,[],[f563,f439]) ).

fof(f616,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(forward_demodulation,[],[f598,f563]) ).

fof(f598,plain,
    ! [X0] : multiply(X0,identity) = inverse(inverse(X0)),
    inference(superposition,[],[f450,f563]) ).

fof(f585,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(superposition,[],[f439,f563]) ).

fof(f604,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(forward_demodulation,[],[f583,f563]) ).

fof(f583,plain,
    ! [X0] : multiply(X0,identity) = inverse(inverse(X0)),
    inference(superposition,[],[f563,f450]) ).

fof(f563,plain,
    ! [X0] : multiply(X0,identity) = X0,
    inference(superposition,[],[f450,f439]) ).

fof(f570,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f68,f450]) ).

fof(f569,plain,
    ! [X0] : multiply(X0,identity) = X0,
    inference(superposition,[],[f439,f450]) ).

fof(f567,plain,
    ! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
    inference(superposition,[],[f68,f450]) ).

fof(f566,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f2,f450]) ).

fof(f450,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
    inference(superposition,[],[f68,f68]) ).

fof(f554,plain,
    ! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f542,f1]) ).

fof(f542,plain,
    ! [X0,X1] : multiply(identity,X1) = multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)),
    inference(superposition,[],[f3,f524]) ).

fof(f541,plain,
    ! [X0] : multiply(inverse(inverse(inverse(inverse(X0)))),identity) = X0,
    inference(superposition,[],[f68,f524]) ).

fof(f524,plain,
    ! [X0] : identity = multiply(inverse(inverse(inverse(X0))),X0),
    inference(superposition,[],[f68,f439]) ).

fof(f533,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
    inference(forward_demodulation,[],[f525,f1]) ).

fof(f525,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),multiply(identity,X1)),
    inference(superposition,[],[f3,f439]) ).

fof(f439,plain,
    ! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[],[f68,f2]) ).

fof(f441,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
    inference(superposition,[],[f68,f3]) ).

fof(f68,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f59,f1]) ).

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

fof(f29,axiom,
    ( sk_c6 = inverse(sk_c3)
    | sk_c6 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).

fof(f15,axiom,
    ( sk_c6 = inverse(sk_c3)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).

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

fof(f11,axiom,
    ( sk_c7 = inverse(sk_c1)
    | sk_c7 = multiply(sk_c6,sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).

fof(f12,axiom,
    ( sk_c7 = inverse(sk_c1)
    | sk_c6 = multiply(sk_c7,sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).

fof(f14,axiom,
    ( sk_c7 = inverse(sk_c1)
    | sk_c7 = multiply(sk_c3,sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).

fof(f16,axiom,
    ( sk_c7 = inverse(sk_c1)
    | sk_c5 = multiply(sk_c4,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).

fof(f28,axiom,
    ( sk_c6 = inverse(sk_c2)
    | sk_c7 = multiply(sk_c3,sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).

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

fof(f13,axiom,
    ( sk_c5 = inverse(sk_c7)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).

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

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

fof(f39,axiom,
    ! [X3,X6,X4,X5] :
      ( sk_c5 != inverse(sk_c7)
      | sk_c6 != inverse(X4)
      | sk_c6 != inverse(X5)
      | sk_c7 != inverse(X3)
      | sk_c7 != inverse(X6)
      | sk_c5 != multiply(X6,sk_c7)
      | sk_c6 != multiply(sk_c7,sk_c5)
      | sk_c6 != multiply(X4,sk_c5)
      | sk_c7 != multiply(sk_c6,sk_c5)
      | sk_c7 != multiply(X3,sk_c6)
      | sk_c7 != multiply(X5,sk_c6)
      | multiply(sk_c6,sk_c7) != sk_c5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).

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

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

fof(f34,axiom,
    ( sk_c5 = inverse(sk_c7)
    | sk_c6 = multiply(sk_c2,sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).

fof(f27,axiom,
    ( sk_c5 = inverse(sk_c7)
    | sk_c6 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).

fof(f3991,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f3990]) ).

fof(f3990,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f775,f27,f34,f20,f6,f39,f1,f2,f13,f3,f28,f16,f14,f12,f11,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f46,f845,f846,f35,f847,f848,f849,f850,f851,f852,f853,f854,f855,f856,f857,f858,f36,f859,f860,f22,f861,f862,f8,f863,f843,f891,f844,f896,f7,f21,f540,f10,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f26,f33,f5,f24,f18,f23,f19,f9,f4,f37,f32,f38,f30,f25,f31,f227]) ).

fof(f775,plain,
    ( sk_c5 != sk_c1
    | ~ spl0_1
    | spl0_2 ),
    inference(superposition,[],[f46,f621]) ).

fof(f621,plain,
    ( inverse(sk_c7) = sk_c1
    | ~ spl0_1 ),
    inference(superposition,[],[f577,f43]) ).

fof(f43,plain,
    ( sk_c7 = inverse(sk_c1)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f41]) ).

fof(f41,plain,
    ( spl0_1
  <=> sk_c7 = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f3989,plain,
    ( spl0_2
    | spl0_4
    | ~ spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3988]) ).

fof(f3988,plain,
    ( $false
    | spl0_2
    | spl0_4
    | ~ spl0_7 ),
    inference(global_subsumption,[],[f1069,f27,f34,f20,f6,f39,f1,f2,f13,f3,f28,f16,f14,f12,f11,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f46,f845,f846,f35,f847,f848,f849,f850,f851,f852,f853,f854,f855,f856,f857,f858,f36,f859,f860,f22,f861,f862,f8,f863,f843,f891,f844,f896,f7,f21,f540,f10,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f26,f33,f5,f24,f18,f23,f19,f9,f4,f37,f32,f38,f30,f25,f31,f227]) ).

fof(f1069,plain,
    ( sk_c7 = inverse(sk_c4)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f1067]) ).

fof(f1067,plain,
    ( spl0_7
  <=> sk_c7 = inverse(sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f3987,plain,
    ( spl0_2
    | spl0_4
    | ~ spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3986]) ).

fof(f3986,plain,
    ( $false
    | spl0_2
    | spl0_4
    | ~ spl0_7 ),
    inference(global_subsumption,[],[f2680,f27,f34,f20,f6,f39,f1,f2,f13,f3,f28,f16,f14,f12,f11,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f46,f845,f846,f35,f847,f848,f849,f850,f851,f852,f853,f854,f855,f856,f857,f858,f36,f859,f860,f22,f861,f862,f8,f863,f843,f891,f844,f896,f7,f21,f540,f10,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f26,f33,f5,f24,f18,f23,f19,f9,f4,f37,f32,f38,f30,f25,f31,f227]) ).

fof(f2680,plain,
    ( inverse(sk_c7) = sk_c4
    | ~ spl0_7 ),
    inference(superposition,[],[f577,f1069]) ).

fof(f3985,plain,
    ( spl0_2
    | spl0_4
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3984]) ).

fof(f3984,plain,
    ( $false
    | spl0_2
    | spl0_4
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f2778,f27,f34,f20,f6,f39,f1,f2,f13,f3,f28,f16,f14,f12,f11,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f46,f845,f846,f35,f847,f848,f849,f850,f851,f852,f853,f854,f855,f856,f857,f858,f36,f859,f860,f22,f861,f862,f8,f863,f843,f891,f844,f896,f7,f21,f540,f10,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f26,f33,f5,f24,f18,f23,f19,f9,f4,f37,f32,f38,f30,f25,f31,f227]) ).

fof(f2778,plain,
    ( identity = sk_c5
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f2776]) ).

fof(f2776,plain,
    ( spl0_9
  <=> identity = sk_c5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f3983,plain,
    ( spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f3982]) ).

fof(f3982,plain,
    ( $false
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f27,f34,f20,f6,f39,f1,f2,f13,f3,f28,f16,f14,f12,f11,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f46,f845,f846,f35,f847,f848,f849,f850,f851,f852,f853,f854,f855,f856,f857,f858,f36,f859,f860,f22,f861,f862,f8,f863,f843,f891,f844,f896,f7,f21,f540,f10,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f26,f33,f5,f24,f18,f23,f19,f9,f4,f37,f32,f38,f30,f25,f31,f227]) ).

fof(f3981,plain,
    ( spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f3980]) ).

fof(f3980,plain,
    ( $false
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f27,f34,f20,f6,f39,f1,f2,f13,f3,f28,f16,f14,f12,f11,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f46,f845,f846,f35,f847,f848,f849,f850,f851,f852,f853,f854,f855,f856,f857,f858,f36,f859,f860,f22,f861,f862,f8,f863,f843,f891,f844,f896,f7,f21,f540,f10,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f227,f26,f33,f5,f24,f18,f23,f19,f9,f4,f37,f32,f38,f30,f25,f31]) ).

fof(f3979,plain,
    ( spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f3978]) ).

fof(f3978,plain,
    ( $false
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f27,f34,f20,f6,f39,f1,f2,f13,f3,f28,f16,f14,f12,f11,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f46,f845,f846,f35,f847,f848,f849,f850,f851,f852,f853,f854,f855,f856,f857,f858,f36,f859,f860,f22,f861,f862,f8,f863,f843,f891,f844,f896,f7,f21,f540,f10,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f227,f31,f26,f33,f5,f24,f18,f23,f19,f9,f4,f37,f32,f38,f30,f25]) ).

fof(f3977,plain,
    ( spl0_2
    | spl0_4
    | ~ spl0_5 ),
    inference(avatar_contradiction_clause,[],[f3976]) ).

fof(f3976,plain,
    ( $false
    | spl0_2
    | spl0_4
    | ~ spl0_5 ),
    inference(global_subsumption,[],[f3828,f27,f34,f20,f6,f39,f1,f2,f13,f3,f28,f16,f14,f12,f11,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f46,f845,f846,f35,f847,f848,f849,f850,f851,f852,f853,f854,f855,f856,f857,f858,f36,f859,f860,f22,f861,f862,f8,f863,f843,f891,f844,f896,f7,f21,f540,f10,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f227,f31,f25,f26,f33,f5,f24,f18,f23,f19,f9,f4,f37,f32,f38,f30]) ).

fof(f3828,plain,
    ( identity = sk_c7
    | sk_c6 = inverse(sk_c2)
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f28,f869]) ).

fof(f869,plain,
    ( identity = multiply(sk_c3,sk_c6)
    | ~ spl0_5 ),
    inference(superposition,[],[f562,f232]) ).

fof(f232,plain,
    ( sk_c6 = inverse(sk_c3)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f230]) ).

fof(f230,plain,
    ( spl0_5
  <=> sk_c6 = inverse(sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f3975,plain,
    ( spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f3974]) ).

fof(f3974,plain,
    ( $false
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f27,f34,f20,f6,f39,f1,f2,f13,f3,f28,f16,f14,f12,f11,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f46,f845,f846,f35,f847,f848,f849,f850,f851,f852,f853,f854,f855,f856,f857,f858,f36,f859,f860,f22,f861,f862,f8,f863,f843,f891,f844,f896,f7,f21,f540,f10,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f227,f31,f25,f26,f33,f5,f24,f18,f23,f19,f9,f4,f37,f32,f38,f30]) ).

fof(f3973,plain,
    ( spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f3972]) ).

fof(f3972,plain,
    ( $false
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f27,f34,f20,f6,f39,f1,f2,f13,f3,f28,f16,f14,f12,f11,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f46,f845,f846,f35,f847,f848,f849,f850,f851,f852,f853,f854,f855,f856,f857,f858,f36,f859,f860,f22,f861,f862,f8,f863,f843,f891,f844,f896,f7,f21,f540,f10,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f227,f31,f25,f30,f26,f33,f5,f24,f18,f23,f19,f9,f4,f37,f32,f38]) ).

fof(f3971,plain,
    ( spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f3970]) ).

fof(f3970,plain,
    ( $false
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f27,f34,f20,f6,f39,f1,f2,f13,f3,f28,f16,f14,f12,f11,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f46,f845,f846,f35,f847,f848,f849,f850,f851,f852,f853,f854,f855,f856,f857,f858,f36,f859,f860,f22,f861,f862,f8,f863,f843,f891,f844,f896,f7,f21,f540,f10,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f227,f31,f25,f30,f38,f26,f33,f5,f24,f18,f23,f19,f9,f4,f37,f32]) ).

fof(f3969,plain,
    ( spl0_2
    | spl0_4
    | ~ spl0_5 ),
    inference(avatar_contradiction_clause,[],[f3968]) ).

fof(f3968,plain,
    ( $false
    | spl0_2
    | spl0_4
    | ~ spl0_5 ),
    inference(global_subsumption,[],[f3818,f27,f34,f20,f6,f39,f1,f2,f13,f3,f28,f16,f14,f12,f11,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f46,f845,f846,f35,f847,f848,f849,f850,f851,f852,f853,f854,f855,f856,f857,f858,f36,f859,f860,f22,f861,f862,f8,f863,f843,f891,f844,f896,f7,f21,f540,f10,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f227,f31,f25,f30,f38,f32,f26,f33,f5,f24,f18,f23,f19,f9,f4,f37]) ).

fof(f3818,plain,
    ( identity = sk_c7
    | sk_c6 = multiply(sk_c2,sk_c5)
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f35,f869]) ).

fof(f3967,plain,
    ( spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f3966]) ).

fof(f3966,plain,
    ( $false
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f27,f34,f20,f6,f39,f1,f2,f13,f3,f28,f16,f14,f12,f11,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f46,f845,f846,f35,f847,f848,f849,f850,f851,f852,f853,f854,f855,f856,f857,f858,f36,f859,f860,f22,f861,f862,f8,f863,f843,f891,f844,f896,f7,f21,f540,f10,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f227,f31,f25,f30,f38,f32,f26,f33,f5,f24,f18,f23,f19,f9,f4,f37]) ).

fof(f3965,plain,
    ( spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f3964]) ).

fof(f3964,plain,
    ( $false
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f27,f34,f20,f6,f39,f1,f2,f13,f3,f28,f16,f14,f12,f11,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f46,f845,f846,f35,f847,f848,f849,f850,f851,f852,f853,f854,f855,f856,f857,f858,f36,f859,f860,f22,f861,f862,f8,f863,f843,f891,f844,f896,f7,f21,f540,f10,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f227,f31,f25,f30,f38,f32,f37,f26,f33,f5,f24,f18,f23,f19,f9,f4]) ).

fof(f3963,plain,
    ( spl0_2
    | spl0_4
    | ~ spl0_5 ),
    inference(avatar_contradiction_clause,[],[f3962]) ).

fof(f3962,plain,
    ( $false
    | spl0_2
    | spl0_4
    | ~ spl0_5 ),
    inference(global_subsumption,[],[f3690,f27,f34,f20,f6,f39,f1,f2,f13,f3,f28,f16,f14,f12,f11,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f46,f845,f846,f35,f847,f848,f849,f850,f851,f852,f853,f854,f855,f856,f857,f858,f36,f859,f860,f22,f861,f862,f8,f863,f843,f891,f844,f896,f7,f21,f540,f10,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f227,f31,f25,f30,f38,f32,f37,f4,f26,f33,f5,f24,f18,f23,f19,f9]) ).

fof(f3690,plain,
    ( identity = sk_c7
    | multiply(sk_c6,sk_c7) = sk_c5
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f7,f869]) ).

fof(f3961,plain,
    ( spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f3960]) ).

fof(f3960,plain,
    ( $false
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f27,f34,f20,f6,f39,f1,f2,f13,f3,f28,f16,f14,f12,f11,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f46,f845,f846,f35,f847,f848,f849,f850,f851,f852,f853,f854,f855,f856,f857,f858,f36,f859,f860,f22,f861,f862,f8,f863,f843,f891,f844,f896,f7,f21,f540,f10,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f227,f31,f25,f30,f38,f32,f37,f4,f26,f33,f5,f24,f18,f23,f19,f9]) ).

fof(f3959,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f3958]) ).

fof(f3958,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f972,f27,f34,f20,f6,f39,f1,f2,f13,f3,f28,f16,f14,f12,f11,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f46,f845,f846,f35,f847,f848,f849,f850,f851,f852,f853,f854,f855,f856,f857,f858,f36,f859,f860,f22,f861,f862,f8,f863,f843,f891,f844,f896,f7,f21,f540,f10,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f227,f31,f25,f30,f38,f32,f37,f4,f9,f26,f33,f5,f24,f18,f23,f19]) ).

fof(f972,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c5 != sk_c1
        | sk_c6 != inverse(X4)
        | sk_c6 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X6)
        | sk_c5 != multiply(X6,sk_c7)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X4,sk_c5)
        | sk_c7 != multiply(sk_c6,sk_c5)
        | sk_c7 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X5,sk_c6)
        | multiply(sk_c6,sk_c7) != sk_c5 )
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f39,f621]) ).

fof(f3957,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f3956]) ).

fof(f3956,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f664,f27,f34,f20,f6,f39,f1,f2,f13,f3,f28,f16,f14,f12,f11,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f46,f845,f846,f35,f847,f848,f849,f850,f851,f852,f853,f854,f855,f856,f857,f858,f36,f859,f860,f22,f861,f862,f8,f863,f843,f891,f844,f896,f7,f21,f540,f10,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f227,f31,f25,f30,f38,f32,f37,f4,f9,f26,f33,f5,f24,f18,f23,f19]) ).

fof(f664,plain,
    ( identity = multiply(sk_c1,sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f562,f43]) ).

fof(f3955,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f3954]) ).

fof(f3954,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f776,f27,f34,f20,f6,f39,f1,f2,f13,f3,f28,f16,f14,f12,f11,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f46,f845,f846,f35,f847,f848,f849,f850,f851,f852,f853,f854,f855,f856,f857,f858,f36,f859,f860,f22,f861,f862,f8,f863,f843,f891,f844,f896,f7,f21,f540,f10,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f227,f31,f25,f30,f38,f32,f37,f4,f9,f26,f33,f5,f24,f18,f23,f19]) ).

fof(f776,plain,
    ( identity = multiply(sk_c1,sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f621]) ).

fof(f3953,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f3952]) ).

fof(f3952,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f785,f27,f34,f20,f6,f39,f1,f2,f13,f3,f28,f16,f14,f12,f11,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f46,f845,f846,f35,f847,f848,f849,f850,f851,f852,f853,f854,f855,f856,f857,f858,f36,f859,f860,f22,f861,f862,f8,f863,f843,f891,f844,f896,f7,f21,f540,f10,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f227,f31,f25,f30,f38,f32,f37,f4,f9,f26,f33,f5,f24,f18,f23,f19]) ).

fof(f785,plain,
    ( identity = multiply(sk_c1,sk_c7)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f780,f577]) ).

fof(f780,plain,
    ( identity = multiply(inverse(inverse(sk_c1)),sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f524,f621]) ).

fof(f3951,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f3950]) ).

fof(f3950,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f976,f27,f34,f20,f6,f39,f1,f2,f13,f3,f28,f16,f14,f12,f11,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f46,f845,f846,f35,f847,f848,f849,f850,f851,f852,f853,f854,f855,f856,f857,f858,f36,f859,f860,f22,f861,f862,f8,f863,f843,f891,f844,f896,f7,f21,f540,f10,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f227,f31,f25,f30,f38,f32,f37,f4,f9,f26,f33,f5,f24,f18,f23,f19]) ).

fof(f976,plain,
    ( sk_c5 = sk_c1
    | sk_c7 = multiply(sk_c1,sk_c6)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f20,f621]) ).

fof(f3949,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f3948]) ).

fof(f3948,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f977,f27,f34,f20,f6,f39,f1,f2,f13,f3,f28,f16,f14,f12,f11,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f46,f845,f846,f35,f847,f848,f849,f850,f851,f852,f853,f854,f855,f856,f857,f858,f36,f859,f860,f22,f861,f862,f8,f863,f843,f891,f844,f896,f7,f21,f540,f10,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f227,f31,f25,f30,f38,f32,f37,f4,f9,f26,f33,f5,f24,f18,f23,f19]) ).

fof(f977,plain,
    ( sk_c5 = sk_c1
    | multiply(sk_c6,sk_c7) = sk_c5
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f6,f621]) ).

fof(f3947,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f3946]) ).

fof(f3946,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f712,f27,f34,f20,f6,f39,f1,f2,f13,f3,f28,f16,f14,f12,f11,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f46,f845,f846,f35,f847,f848,f849,f850,f851,f852,f853,f854,f855,f856,f857,f858,f36,f859,f860,f22,f861,f862,f8,f863,f843,f891,f844,f896,f7,f21,f540,f10,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f227,f31,f25,f30,f38,f32,f37,f4,f9,f26,f33,f5,f24,f18,f23,f19]) ).

fof(f712,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c7,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f564,f43]) ).

fof(f3945,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f3944]) ).

fof(f3944,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f777,f27,f34,f20,f6,f39,f1,f2,f13,f3,f28,f16,f14,f12,f11,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f46,f845,f846,f35,f847,f848,f849,f850,f851,f852,f853,f854,f855,f856,f857,f858,f36,f859,f860,f22,f861,f862,f8,f863,f843,f891,f844,f896,f7,f21,f540,f10,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f227,f31,f25,f30,f38,f32,f37,f4,f9,f26,f33,f5,f24,f18,f23,f19]) ).

fof(f777,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c7,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f68,f621]) ).

fof(f3943,plain,
    ( spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f3942]) ).

fof(f3942,plain,
    ( $false
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f27,f34,f20,f6,f39,f1,f2,f13,f3,f28,f16,f14,f12,f11,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f46,f845,f846,f35,f847,f848,f849,f850,f851,f852,f853,f854,f855,f856,f857,f858,f36,f859,f860,f22,f861,f862,f8,f863,f843,f891,f844,f896,f7,f21,f540,f10,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f227,f31,f25,f30,f38,f32,f37,f4,f9,f26,f33,f5,f24,f18,f23,f19]) ).

fof(f3938,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f3937]) ).

fof(f3937,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f1654,f27,f34,f20,f6,f39,f1,f2,f13,f3,f28,f16,f14,f12,f11,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f46,f845,f846,f35,f847,f848,f849,f850,f851,f852,f853,f854,f855,f856,f857,f858,f36,f859,f860,f22,f861,f862,f8,f863,f843,f891,f844,f896,f7,f19,f21,f540,f10,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f227,f31,f25,f30,f38,f32,f37,f4,f9,f26,f33,f5,f24,f18,f23]) ).

fof(f1654,plain,
    ( ! [X0] : multiply(sk_c7,inverse(X0)) = inverse(multiply(X0,sk_c1))
    | ~ spl0_1 ),
    inference(superposition,[],[f210,f1608]) ).

fof(f210,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c1,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f209,f1]) ).

fof(f209,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c1,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f207]) ).

fof(f207,plain,
    ( identity = multiply(sk_c7,sk_c1)
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f43]) ).

fof(f3936,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f3935]) ).

fof(f3935,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f1812,f27,f34,f20,f6,f39,f1,f2,f13,f3,f28,f16,f14,f12,f11,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f46,f845,f846,f35,f847,f848,f849,f850,f851,f852,f853,f854,f855,f856,f857,f858,f36,f859,f860,f22,f861,f862,f8,f863,f843,f891,f844,f896,f7,f19,f21,f540,f10,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f227,f31,f25,f30,f38,f32,f37,f4,f9,f26,f33,f5,f24,f18,f23]) ).

fof(f1812,plain,
    ( ! [X0] : sk_c7 = multiply(X0,inverse(multiply(sk_c1,X0)))
    | ~ spl0_1 ),
    inference(superposition,[],[f1702,f210]) ).

fof(f3934,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f3933]) ).

fof(f3933,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f1841,f27,f34,f20,f6,f39,f1,f2,f13,f3,f28,f16,f14,f12,f11,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f46,f845,f846,f35,f847,f848,f849,f850,f851,f852,f853,f854,f855,f856,f857,f858,f36,f859,f860,f22,f861,f862,f8,f863,f843,f891,f844,f896,f7,f19,f21,f540,f10,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f227,f31,f25,f30,f38,f32,f37,f4,f9,f26,f33,f5,f24,f18,f23]) ).

fof(f1841,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c7),sk_c1) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f1702,f621]) ).

fof(f3932,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f3931]) ).

fof(f3931,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f1973,f27,f34,f20,f6,f39,f1,f2,f13,f3,f28,f16,f14,f12,f11,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f46,f845,f846,f35,f847,f848,f849,f850,f851,f852,f853,f854,f855,f856,f857,f858,f36,f859,f860,f22,f861,f862,f8,f863,f843,f891,f844,f896,f7,f19,f21,f540,f10,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f227,f31,f25,f30,f38,f32,f37,f4,f9,f26,f33,f5,f24,f18,f23]) ).

fof(f1973,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c7),sk_c1) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f1836,f43]) ).

fof(f3930,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f3929]) ).

fof(f3929,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f2048,f27,f34,f20,f6,f39,f1,f2,f13,f3,f28,f16,f14,f12,f11,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f46,f845,f846,f35,f847,f848,f849,f850,f851,f852,f853,f854,f855,f856,f857,f858,f36,f859,f860,f22,f861,f862,f8,f863,f843,f891,f844,f896,f7,f19,f21,f540,f10,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f227,f31,f25,f30,f38,f32,f37,f4,f9,f26,f33,f5,f24,f18,f23]) ).

fof(f2048,plain,
    ( ! [X0] : sk_c7 = multiply(X0,inverse(multiply(sk_c1,X0)))
    | ~ spl0_1 ),
    inference(superposition,[],[f1612,f621]) ).

fof(f3928,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f3927]) ).

fof(f3927,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f2077,f27,f34,f20,f6,f39,f1,f2,f13,f3,f28,f16,f14,f12,f11,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f46,f845,f846,f35,f847,f848,f849,f850,f851,f852,f853,f854,f855,f856,f857,f858,f36,f859,f860,f22,f861,f862,f8,f863,f843,f891,f844,f896,f7,f19,f21,f540,f10,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f227,f31,f25,f30,f38,f32,f37,f4,f9,f26,f33,f5,f24,f18,f23]) ).

fof(f2077,plain,
    ( ! [X0] : multiply(sk_c7,X0) = inverse(multiply(inverse(X0),sk_c1))
    | ~ spl0_1 ),
    inference(superposition,[],[f210,f1612]) ).

fof(f3926,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f3925]) ).

fof(f3925,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f2321,f27,f34,f20,f6,f39,f1,f2,f13,f3,f28,f16,f14,f12,f11,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f46,f845,f846,f35,f847,f848,f849,f850,f851,f852,f853,f854,f855,f856,f857,f858,f36,f859,f860,f22,f861,f862,f8,f863,f843,f891,f844,f896,f7,f19,f21,f540,f10,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f227,f31,f25,f30,f38,f32,f37,f4,f9,f26,f33,f5,f24,f18,f23]) ).

fof(f2321,plain,
    ( ! [X0] : sk_c7 = multiply(inverse(multiply(X0,sk_c1)),X0)
    | ~ spl0_1 ),
    inference(superposition,[],[f2132,f621]) ).

fof(f3924,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f3923]) ).

fof(f3923,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f2411,f27,f34,f20,f6,f39,f1,f2,f13,f3,f28,f16,f14,f12,f11,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f46,f845,f846,f35,f847,f848,f849,f850,f851,f852,f853,f854,f855,f856,f857,f858,f36,f859,f860,f22,f861,f862,f8,f863,f843,f891,f844,f896,f7,f19,f21,f540,f10,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f227,f31,f25,f30,f38,f32,f37,f4,f9,f26,f33,f5,f24,f18,f23]) ).

fof(f2411,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c7)) = multiply(sk_c1,inverse(X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f1657,f621]) ).

fof(f3922,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f3921]) ).

fof(f3921,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f2415,f27,f34,f20,f6,f39,f1,f2,f13,f3,f28,f16,f14,f12,f11,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f46,f845,f846,f35,f847,f848,f849,f850,f851,f852,f853,f854,f855,f856,f857,f858,f36,f859,f860,f22,f861,f862,f8,f863,f843,f891,f844,f896,f7,f19,f21,f540,f10,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f227,f31,f25,f30,f38,f32,f37,f4,f9,f26,f33,f5,f24,f18,f23]) ).

fof(f2415,plain,
    ( ! [X0] : multiply(sk_c7,inverse(X0)) = inverse(multiply(X0,sk_c1))
    | ~ spl0_1 ),
    inference(superposition,[],[f1657,f43]) ).

fof(f3920,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f3919]) ).

fof(f3919,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f2423,f27,f34,f20,f6,f39,f1,f2,f13,f3,f28,f16,f14,f12,f11,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f46,f845,f846,f35,f847,f848,f849,f850,f851,f852,f853,f854,f855,f856,f857,f858,f36,f859,f860,f22,f861,f862,f8,f863,f843,f891,f844,f896,f7,f19,f21,f540,f10,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f227,f31,f25,f30,f38,f32,f37,f4,f9,f26,f33,f5,f24,f18,f23]) ).

fof(f2423,plain,
    ( ! [X0] : inverse(multiply(sk_c7,X0)) = multiply(inverse(X0),sk_c1)
    | ~ spl0_1 ),
    inference(superposition,[],[f1657,f621]) ).

fof(f3918,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f3917]) ).

fof(f3917,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f2427,f27,f34,f20,f6,f39,f1,f2,f13,f3,f28,f16,f14,f12,f11,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f46,f845,f846,f35,f847,f848,f849,f850,f851,f852,f853,f854,f855,f856,f857,f858,f36,f859,f860,f22,f861,f862,f8,f863,f843,f891,f844,f896,f7,f19,f21,f540,f10,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f227,f31,f25,f30,f38,f32,f37,f4,f9,f26,f33,f5,f24,f18,f23]) ).

fof(f2427,plain,
    ( ! [X0] : inverse(multiply(sk_c1,X0)) = multiply(inverse(X0),sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f1657,f43]) ).

fof(f3916,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f3915]) ).

fof(f3915,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f2325,f27,f34,f20,f6,f39,f1,f2,f13,f3,f28,f16,f14,f12,f11,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f46,f845,f846,f35,f847,f848,f849,f850,f851,f852,f853,f854,f855,f856,f857,f858,f36,f859,f860,f22,f861,f862,f8,f863,f843,f891,f844,f896,f7,f19,f21,f540,f10,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f227,f31,f25,f30,f38,f32,f37,f4,f9,f26,f33,f5,f24,f18,f23]) ).

fof(f2325,plain,
    ( ! [X0] : sk_c1 = multiply(inverse(multiply(X0,sk_c7)),X0)
    | ~ spl0_1 ),
    inference(superposition,[],[f2132,f43]) ).

fof(f3914,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f3913]) ).

fof(f3913,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f2181,f27,f34,f20,f6,f39,f1,f2,f13,f3,f28,f16,f14,f12,f11,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f46,f845,f846,f35,f847,f848,f849,f850,f851,f852,f853,f854,f855,f856,f857,f858,f36,f859,f860,f22,f861,f862,f8,f863,f843,f891,f844,f896,f7,f19,f21,f540,f10,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f227,f31,f25,f30,f38,f32,f37,f4,f9,f26,f33,f5,f24,f18,f23]) ).

fof(f2181,plain,
    ( ! [X0] : inverse(multiply(sk_c1,X0)) = multiply(inverse(X0),sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f1706,f210]) ).

fof(f3912,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f3911]) ).

fof(f3911,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f2052,f27,f34,f20,f6,f39,f1,f2,f13,f3,f28,f16,f14,f12,f11,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f46,f845,f846,f35,f847,f848,f849,f850,f851,f852,f853,f854,f855,f856,f857,f858,f36,f859,f860,f22,f861,f862,f8,f863,f843,f891,f844,f896,f7,f19,f21,f540,f10,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f227,f31,f25,f30,f38,f32,f37,f4,f9,f26,f33,f5,f24,f18,f23]) ).

fof(f2052,plain,
    ( ! [X0] : sk_c1 = multiply(X0,inverse(multiply(sk_c7,X0)))
    | ~ spl0_1 ),
    inference(superposition,[],[f1612,f43]) ).

fof(f3910,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f3909]) ).

fof(f3909,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f1969,f27,f34,f20,f6,f39,f1,f2,f13,f3,f28,f16,f14,f12,f11,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f46,f845,f846,f35,f847,f848,f849,f850,f851,f852,f853,f854,f855,f856,f857,f858,f36,f859,f860,f22,f861,f862,f8,f863,f843,f891,f844,f896,f7,f19,f21,f540,f10,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f227,f31,f25,f30,f38,f32,f37,f4,f9,f26,f33,f5,f24,f18,f23]) ).

fof(f1969,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c1),sk_c7) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f1836,f621]) ).

fof(f3908,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f3907]) ).

fof(f3907,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f1845,f27,f34,f20,f6,f39,f1,f2,f13,f3,f28,f16,f14,f12,f11,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f46,f845,f846,f35,f847,f848,f849,f850,f851,f852,f853,f854,f855,f856,f857,f858,f36,f859,f860,f22,f861,f862,f8,f863,f843,f891,f844,f896,f7,f19,f21,f540,f10,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f227,f31,f25,f30,f38,f32,f37,f4,f9,f26,f33,f5,f24,f18,f23]) ).

fof(f1845,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c1),sk_c7) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f1702,f43]) ).

fof(f3906,plain,
    ( spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f3905]) ).

fof(f3905,plain,
    ( $false
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f27,f34,f20,f6,f39,f1,f2,f13,f3,f28,f16,f14,f12,f11,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f46,f845,f846,f35,f847,f848,f849,f850,f851,f852,f853,f854,f855,f856,f857,f858,f36,f859,f860,f22,f861,f862,f8,f863,f843,f891,f844,f896,f7,f19,f21,f540,f10,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f227,f31,f25,f30,f38,f32,f37,f4,f9,f26,f33,f5,f24,f18,f23]) ).

fof(f3904,plain,
    ( spl0_2
    | spl0_4
    | ~ spl0_5 ),
    inference(avatar_contradiction_clause,[],[f3903]) ).

fof(f3903,plain,
    ( $false
    | spl0_2
    | spl0_4
    | ~ spl0_5 ),
    inference(global_subsumption,[],[f1411,f27,f34,f20,f6,f39,f1,f2,f13,f3,f28,f16,f14,f12,f11,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f46,f845,f846,f35,f847,f848,f849,f850,f851,f852,f853,f854,f855,f856,f857,f858,f36,f859,f860,f22,f861,f862,f8,f863,f843,f891,f844,f896,f7,f19,f21,f23,f540,f10,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f227,f31,f25,f30,f38,f32,f37,f4,f9,f26,f33,f5,f24,f18]) ).

fof(f1411,plain,
    ( identity = sk_c7
    | sk_c7 = multiply(sk_c1,sk_c6)
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f21,f869]) ).

fof(f3902,plain,
    ( spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f3901]) ).

fof(f3901,plain,
    ( $false
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f27,f34,f20,f6,f39,f1,f2,f13,f3,f28,f16,f14,f12,f11,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f46,f845,f846,f35,f847,f848,f849,f850,f851,f852,f853,f854,f855,f856,f857,f858,f36,f859,f860,f22,f861,f862,f8,f863,f843,f891,f844,f896,f7,f19,f21,f23,f540,f10,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f227,f31,f25,f30,f38,f32,f37,f4,f9,f26,f33,f5,f24,f18]) ).

fof(f3900,plain,
    ( spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f3899]) ).

fof(f3899,plain,
    ( $false
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f27,f34,f20,f6,f39,f1,f2,f13,f3,f28,f16,f14,f12,f11,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f46,f845,f846,f35,f847,f848,f849,f850,f851,f852,f853,f854,f855,f856,f857,f858,f36,f859,f860,f22,f861,f862,f8,f863,f843,f891,f844,f896,f7,f18,f19,f21,f23,f540,f10,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f227,f31,f25,f30,f38,f32,f37,f4,f9,f26,f33,f5,f24]) ).

fof(f3898,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f3897]) ).

fof(f3897,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f3196,f27,f34,f20,f6,f39,f1,f2,f13,f3,f28,f16,f14,f12,f11,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f46,f845,f846,f35,f847,f848,f849,f850,f851,f852,f853,f854,f855,f856,f857,f858,f36,f859,f860,f22,f861,f862,f8,f863,f843,f891,f844,f896,f24,f7,f18,f19,f21,f23,f540,f10,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f227,f31,f25,f30,f38,f32,f37,f4,f9,f26,f33,f5]) ).

fof(f3196,plain,
    ( ! [X0] : multiply(sk_c7,inverse(X0)) = inverse(multiply(X0,sk_c1))
    | ~ spl0_1 ),
    inference(superposition,[],[f1660,f621]) ).

fof(f3896,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f3895]) ).

fof(f3895,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f3200,f27,f34,f20,f6,f39,f1,f2,f13,f3,f28,f16,f14,f12,f11,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f46,f845,f846,f35,f847,f848,f849,f850,f851,f852,f853,f854,f855,f856,f857,f858,f36,f859,f860,f22,f861,f862,f8,f863,f843,f891,f844,f896,f24,f7,f18,f19,f21,f23,f540,f10,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f227,f31,f25,f30,f38,f32,f37,f4,f9,f26,f33,f5]) ).

fof(f3200,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c7)) = multiply(sk_c1,inverse(X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f1660,f43]) ).

fof(f3894,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f3893]) ).

fof(f3893,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f3306,f27,f34,f20,f6,f39,f1,f2,f13,f3,f28,f16,f14,f12,f11,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f46,f845,f846,f35,f847,f848,f849,f850,f851,f852,f853,f854,f855,f856,f857,f858,f36,f859,f860,f22,f861,f862,f8,f863,f843,f891,f844,f896,f24,f7,f18,f19,f21,f23,f540,f10,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f227,f31,f25,f30,f38,f32,f37,f4,f9,f26,f33,f5]) ).

fof(f3306,plain,
    ( ! [X0] : inverse(multiply(sk_c7,X0)) = multiply(inverse(X0),sk_c1)
    | ~ spl0_1 ),
    inference(superposition,[],[f2082,f43]) ).

fof(f3892,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f3891]) ).

fof(f3891,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f3302,f27,f34,f20,f6,f39,f1,f2,f13,f3,f28,f16,f14,f12,f11,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f46,f845,f846,f35,f847,f848,f849,f850,f851,f852,f853,f854,f855,f856,f857,f858,f36,f859,f860,f22,f861,f862,f8,f863,f843,f891,f844,f896,f24,f7,f18,f19,f21,f23,f540,f10,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f227,f31,f25,f30,f38,f32,f37,f4,f9,f26,f33,f5]) ).

fof(f3302,plain,
    ( ! [X0] : inverse(multiply(sk_c1,X0)) = multiply(inverse(X0),sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f2082,f621]) ).

fof(f3890,plain,
    ( spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f3889]) ).

fof(f3889,plain,
    ( $false
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f27,f34,f20,f6,f39,f1,f2,f13,f3,f28,f16,f14,f12,f11,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f46,f845,f846,f35,f847,f848,f849,f850,f851,f852,f853,f854,f855,f856,f857,f858,f36,f859,f860,f22,f861,f862,f8,f863,f843,f891,f844,f896,f24,f7,f18,f19,f21,f23,f540,f10,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f227,f31,f25,f30,f38,f32,f37,f4,f9,f26,f33,f5]) ).

fof(f3888,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f3887]) ).

fof(f3887,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f974,f27,f34,f20,f6,f39,f1,f2,f13,f3,f28,f16,f14,f12,f11,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f46,f845,f846,f35,f847,f848,f849,f850,f851,f852,f853,f854,f855,f856,f857,f858,f36,f859,f860,f22,f861,f862,f8,f863,f843,f891,f844,f896,f24,f5,f7,f18,f19,f21,f23,f540,f10,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f227,f31,f25,f30,f38,f32,f37,f4,f9,f26,f33]) ).

fof(f974,plain,
    ( sk_c5 = sk_c1
    | sk_c6 = multiply(sk_c2,sk_c5)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f34,f621]) ).

fof(f3886,plain,
    ( spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f3885]) ).

fof(f3885,plain,
    ( $false
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f27,f34,f20,f6,f39,f1,f2,f13,f3,f28,f16,f14,f12,f11,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f46,f845,f846,f35,f847,f848,f849,f850,f851,f852,f853,f854,f855,f856,f857,f858,f36,f859,f860,f22,f861,f862,f8,f863,f843,f891,f844,f896,f24,f5,f7,f18,f19,f21,f23,f540,f10,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f227,f31,f25,f30,f38,f32,f37,f4,f9,f26,f33]) ).

fof(f3884,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f3883]) ).

fof(f3883,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f3882,f27,f34,f20,f6,f39,f1,f2,f13,f3,f28,f16,f14,f12,f11,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f46,f845,f846,f35,f847,f33,f848,f849,f850,f851,f852,f853,f854,f855,f856,f857,f858,f36,f859,f860,f22,f861,f862,f8,f863,f843,f891,f844,f896,f24,f5,f7,f18,f19,f21,f23,f540,f10,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f227,f31,f25,f30,f38,f32,f37,f4,f9,f26]) ).

fof(f3882,plain,
    ( sk_c5 = sk_c1
    | sk_c6 = inverse(sk_c2)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f27,f621]) ).

fof(f3881,plain,
    ( spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f3880]) ).

fof(f3880,plain,
    ( $false
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f27,f34,f20,f6,f39,f1,f2,f13,f3,f28,f16,f14,f12,f11,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f46,f845,f846,f35,f847,f33,f848,f849,f850,f851,f852,f853,f854,f855,f856,f857,f858,f36,f859,f860,f22,f861,f862,f8,f863,f843,f891,f844,f896,f24,f5,f7,f18,f19,f21,f23,f540,f10,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f227,f31,f25,f30,f38,f32,f37,f4,f9,f26]) ).

fof(f3879,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_4
    | ~ spl0_6 ),
    inference(avatar_contradiction_clause,[],[f3878]) ).

fof(f3878,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_4
    | ~ spl0_6 ),
    inference(global_subsumption,[],[f1901,f27,f34,f20,f6,f39,f1,f2,f13,f3,f28,f26,f16,f14,f12,f11,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f46,f845,f846,f35,f847,f33,f848,f849,f850,f851,f852,f853,f854,f855,f856,f857,f858,f36,f859,f860,f22,f861,f862,f8,f863,f843,f891,f844,f896,f24,f5,f7,f18,f19,f21,f23,f540,f10,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f227,f31,f25,f30,f38,f32,f37,f4,f9]) ).

fof(f1901,plain,
    ( sk_c6 = multiply(sk_c5,sk_c1)
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1827,f621]) ).

fof(f1827,plain,
    ( sk_c6 = multiply(sk_c5,inverse(sk_c7))
    | ~ spl0_6 ),
    inference(superposition,[],[f1702,f1065]) ).

fof(f1065,plain,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f1063]) ).

fof(f1063,plain,
    ( spl0_6
  <=> multiply(sk_c6,sk_c7) = sk_c5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f3877,plain,
    ( spl0_4
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3876]) ).

fof(f3876,plain,
    ( $false
    | spl0_4
    | spl0_7 ),
    inference(global_subsumption,[],[f27,f34,f20,f6,f39,f1,f2,f13,f3,f28,f26,f16,f14,f12,f11,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f35,f33,f36,f22,f8,f24,f5,f7,f18,f19,f21,f23,f540,f10,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f227,f31,f25,f30,f38,f32,f37,f4,f9,f1068]) ).

fof(f1068,plain,
    ( sk_c7 != inverse(sk_c4)
    | spl0_7 ),
    inference(avatar_component_clause,[],[f1067]) ).

fof(f3875,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_4
    | ~ spl0_6
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3874]) ).

fof(f3874,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_4
    | ~ spl0_6
    | spl0_7 ),
    inference(global_subsumption,[],[f1531,f27,f34,f20,f6,f39,f1,f2,f13,f3,f28,f26,f16,f14,f12,f11,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f35,f33,f36,f22,f8,f24,f5,f7,f18,f19,f21,f23,f540,f10,f1068,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f227,f31,f25,f30,f38,f32,f37,f4,f9]) ).

fof(f1531,plain,
    ( identity = multiply(sk_c6,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_7 ),
    inference(forward_demodulation,[],[f1530,f1108]) ).

fof(f1108,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(forward_demodulation,[],[f1106,f620]) ).

fof(f620,plain,
    ( sk_c7 = inverse(sk_c5)
    | ~ spl0_2 ),
    inference(superposition,[],[f577,f47]) ).

fof(f47,plain,
    ( sk_c5 = inverse(sk_c7)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f45]) ).

fof(f1106,plain,
    ( sk_c6 = multiply(inverse(sk_c5),sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(superposition,[],[f68,f1104]) ).

fof(f1104,plain,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(forward_demodulation,[],[f1103,f578]) ).

fof(f578,plain,
    ( sk_c5 = sk_c1
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f563,f208]) ).

fof(f208,plain,
    ( sk_c1 = multiply(sk_c5,identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f71,f207]) ).

fof(f71,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c7,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f62,f1]) ).

fof(f62,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c7,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f49]) ).

fof(f49,plain,
    ( identity = multiply(sk_c5,sk_c7)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f47]) ).

fof(f1103,plain,
    ( sk_c7 = multiply(sk_c1,sk_c6)
    | spl0_7 ),
    inference(subsumption_resolution,[],[f24,f1068]) ).

fof(f1530,plain,
    ( identity = multiply(sk_c6,multiply(sk_c7,sk_c7))
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1448,f620]) ).

fof(f1448,plain,
    ( identity = multiply(sk_c6,multiply(sk_c7,inverse(sk_c5)))
    | ~ spl0_6 ),
    inference(superposition,[],[f669,f1065]) ).

fof(f3873,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_4
    | ~ spl0_6
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3872]) ).

fof(f3872,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_4
    | ~ spl0_6
    | spl0_7 ),
    inference(global_subsumption,[],[f1724,f27,f34,f20,f6,f39,f1,f2,f13,f3,f28,f26,f16,f14,f12,f11,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f35,f33,f36,f22,f8,f24,f5,f7,f18,f19,f21,f23,f540,f10,f1068,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f227,f31,f25,f30,f38,f32,f37,f4,f9]) ).

fof(f1724,plain,
    ( sk_c6 = inverse(sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_7 ),
    inference(forward_demodulation,[],[f1723,f1108]) ).

fof(f1723,plain,
    ( inverse(sk_c6) = multiply(sk_c7,sk_c7)
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1637,f620]) ).

fof(f1637,plain,
    ( inverse(sk_c6) = multiply(sk_c7,inverse(sk_c5))
    | ~ spl0_6 ),
    inference(superposition,[],[f1608,f1065]) ).

fof(f3871,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_4
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3870]) ).

fof(f3870,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_4
    | spl0_7 ),
    inference(global_subsumption,[],[f2672,f27,f34,f20,f6,f39,f1,f2,f13,f3,f28,f26,f16,f14,f12,f11,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f35,f33,f36,f22,f8,f24,f5,f7,f18,f19,f21,f23,f540,f10,f1068,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f227,f31,f25,f30,f38,f32,f37,f4,f9]) ).

fof(f2672,plain,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | sk_c7 = inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f24,f578]) ).

fof(f3869,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_4
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3868]) ).

fof(f3868,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_4
    | spl0_7 ),
    inference(global_subsumption,[],[f2668,f27,f34,f20,f6,f39,f1,f2,f13,f3,f28,f26,f16,f14,f12,f11,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f35,f33,f36,f22,f8,f24,f5,f7,f18,f19,f21,f23,f540,f10,f1068,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f227,f31,f25,f30,f38,f32,f37,f4,f9]) ).

fof(f2668,plain,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | sk_c5 = multiply(sk_c4,sk_c7)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f23,f578]) ).

fof(f3867,plain,
    ( spl0_4
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3866]) ).

fof(f3866,plain,
    ( $false
    | spl0_4
    | spl0_7 ),
    inference(global_subsumption,[],[f27,f34,f20,f6,f39,f1,f2,f13,f3,f28,f26,f16,f14,f12,f11,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f35,f33,f36,f22,f8,f24,f5,f7,f18,f19,f21,f23,f540,f10,f1068,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f227,f31,f25,f30,f38,f32,f37,f4,f9]) ).

fof(f3865,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_4
    | ~ spl0_5
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3864]) ).

fof(f3864,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_4
    | ~ spl0_5
    | spl0_7 ),
    inference(global_subsumption,[],[f2669,f27,f34,f20,f6,f39,f1,f2,f13,f3,f28,f26,f16,f14,f12,f11,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f35,f33,f36,f22,f8,f24,f5,f7,f9,f18,f19,f21,f23,f540,f10,f1068,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f227,f31,f25,f30,f38,f32,f37,f4]) ).

fof(f2669,plain,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | identity = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f1411,f578]) ).

fof(f3863,plain,
    ( spl0_4
    | ~ spl0_5
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3862]) ).

fof(f3862,plain,
    ( $false
    | spl0_4
    | ~ spl0_5
    | spl0_7 ),
    inference(global_subsumption,[],[f3690,f27,f34,f20,f6,f39,f1,f2,f13,f3,f28,f26,f16,f14,f12,f11,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f35,f33,f36,f22,f8,f24,f5,f7,f9,f18,f19,f21,f23,f540,f10,f1068,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f227,f31,f25,f30,f38,f32,f37,f4]) ).

fof(f3861,plain,
    ( ~ spl0_2
    | spl0_4
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3860]) ).

fof(f3860,plain,
    ( $false
    | ~ spl0_2
    | spl0_4
    | spl0_7 ),
    inference(global_subsumption,[],[f3691,f27,f34,f20,f6,f39,f1,f2,f13,f3,f28,f26,f16,f14,f12,f11,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f35,f33,f36,f22,f8,f24,f5,f7,f9,f18,f19,f21,f23,f540,f10,f1068,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f227,f31,f25,f30,f38,f32,f37,f4]) ).

fof(f3691,plain,
    ( identity = sk_c6
    | multiply(sk_c6,sk_c7) = sk_c5
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f5,f988]) ).

fof(f988,plain,
    ( identity = multiply(sk_c7,sk_c5)
    | ~ spl0_2 ),
    inference(superposition,[],[f562,f47]) ).

fof(f3859,plain,
    ( spl0_4
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3858]) ).

fof(f3858,plain,
    ( $false
    | spl0_4
    | spl0_7 ),
    inference(global_subsumption,[],[f27,f34,f20,f6,f39,f1,f2,f13,f3,f28,f26,f16,f14,f12,f11,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f35,f33,f36,f22,f8,f24,f5,f7,f9,f18,f19,f21,f23,f540,f10,f1068,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f227,f31,f25,f30,f38,f32,f37,f4]) ).

fof(f3857,plain,
    ( spl0_4
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3856]) ).

fof(f3856,plain,
    ( $false
    | spl0_4
    | spl0_7 ),
    inference(global_subsumption,[],[f27,f34,f20,f6,f39,f1,f2,f13,f3,f28,f26,f16,f14,f12,f11,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f35,f33,f36,f22,f8,f24,f5,f7,f9,f18,f19,f21,f23,f540,f10,f1068,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f4,f227,f31,f25,f30,f38,f32,f37]) ).

fof(f3855,plain,
    ( spl0_4
    | ~ spl0_5
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3854]) ).

fof(f3854,plain,
    ( $false
    | spl0_4
    | ~ spl0_5
    | spl0_7 ),
    inference(global_subsumption,[],[f3818,f27,f34,f20,f6,f39,f1,f2,f13,f3,f28,f26,f16,f14,f12,f11,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f37,f35,f33,f36,f22,f8,f24,f5,f7,f9,f18,f19,f21,f23,f540,f10,f1068,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f4,f227,f31,f25,f30,f38,f32]) ).

fof(f3853,plain,
    ( ~ spl0_2
    | spl0_4
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3852]) ).

fof(f3852,plain,
    ( $false
    | ~ spl0_2
    | spl0_4
    | spl0_7 ),
    inference(global_subsumption,[],[f3820,f27,f34,f20,f6,f39,f1,f2,f13,f3,f28,f26,f16,f14,f12,f11,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f37,f35,f33,f36,f22,f8,f24,f5,f7,f9,f18,f19,f21,f23,f540,f10,f1068,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f4,f227,f31,f25,f30,f38,f32]) ).

fof(f3820,plain,
    ( identity = sk_c6
    | sk_c6 = multiply(sk_c2,sk_c5)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f33,f988]) ).

fof(f3851,plain,
    ( spl0_4
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3850]) ).

fof(f3850,plain,
    ( $false
    | spl0_4
    | spl0_7 ),
    inference(global_subsumption,[],[f27,f34,f20,f6,f39,f1,f2,f13,f3,f28,f26,f16,f14,f12,f11,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f37,f35,f33,f36,f22,f8,f24,f5,f7,f9,f18,f19,f21,f23,f540,f10,f1068,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f4,f227,f31,f25,f30,f38,f32]) ).

fof(f3849,plain,
    ( spl0_4
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3848]) ).

fof(f3848,plain,
    ( $false
    | spl0_4
    | spl0_7 ),
    inference(global_subsumption,[],[f27,f34,f20,f6,f39,f1,f2,f13,f3,f28,f26,f16,f14,f12,f11,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f37,f35,f33,f36,f22,f8,f24,f5,f7,f9,f18,f19,f21,f23,f540,f10,f1068,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f4,f32,f227,f31,f25,f30,f38]) ).

fof(f3847,plain,
    ( spl0_4
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3846]) ).

fof(f3846,plain,
    ( $false
    | spl0_4
    | spl0_7 ),
    inference(global_subsumption,[],[f27,f34,f20,f6,f39,f1,f2,f13,f3,f28,f26,f16,f14,f12,f11,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f37,f35,f33,f38,f36,f22,f8,f24,f5,f7,f9,f18,f19,f21,f23,f540,f10,f1068,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f4,f32,f227,f31,f25,f30]) ).

fof(f3845,plain,
    ( spl0_4
    | ~ spl0_5
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3844]) ).

fof(f3844,plain,
    ( $false
    | spl0_4
    | ~ spl0_5
    | spl0_7 ),
    inference(global_subsumption,[],[f3828,f27,f34,f20,f6,f39,f1,f2,f13,f3,f30,f28,f26,f16,f14,f12,f11,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f37,f35,f33,f38,f36,f22,f8,f24,f5,f7,f9,f18,f19,f21,f23,f540,f10,f1068,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f4,f32,f227,f31,f25]) ).

fof(f3843,plain,
    ( ~ spl0_2
    | spl0_4
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3842]) ).

fof(f3842,plain,
    ( $false
    | ~ spl0_2
    | spl0_4
    | spl0_7 ),
    inference(global_subsumption,[],[f3830,f27,f34,f20,f6,f39,f1,f2,f13,f3,f30,f28,f26,f16,f14,f12,f11,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f37,f35,f33,f38,f36,f22,f8,f24,f5,f7,f9,f18,f19,f21,f23,f540,f10,f1068,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f4,f32,f227,f31,f25]) ).

fof(f3830,plain,
    ( identity = sk_c6
    | sk_c6 = inverse(sk_c2)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f26,f988]) ).

fof(f3841,plain,
    ( spl0_4
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3840]) ).

fof(f3840,plain,
    ( $false
    | spl0_4
    | spl0_7 ),
    inference(global_subsumption,[],[f27,f34,f20,f6,f39,f1,f2,f13,f3,f30,f28,f26,f16,f14,f12,f11,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f37,f35,f33,f38,f36,f22,f8,f24,f5,f7,f9,f18,f19,f21,f23,f540,f10,f1068,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f4,f32,f227,f31,f25]) ).

fof(f3839,plain,
    ( spl0_4
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3838]) ).

fof(f3838,plain,
    ( $false
    | spl0_4
    | spl0_7 ),
    inference(global_subsumption,[],[f27,f34,f20,f6,f39,f1,f2,f13,f3,f30,f28,f26,f16,f14,f12,f11,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f37,f35,f33,f38,f36,f22,f8,f24,f5,f7,f9,f18,f19,f21,f23,f540,f10,f1068,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f4,f32,f25,f227,f31]) ).

fof(f3837,plain,
    ( spl0_4
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3836]) ).

fof(f3836,plain,
    ( $false
    | spl0_4
    | spl0_7 ),
    inference(global_subsumption,[],[f27,f34,f20,f6,f39,f1,f2,f13,f3,f30,f28,f26,f16,f14,f12,f11,f31,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f37,f35,f33,f38,f36,f22,f8,f24,f5,f7,f9,f18,f19,f21,f23,f540,f10,f1068,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f4,f32,f25,f227]) ).

fof(f3835,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_4
    | ~ spl0_7
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3834]) ).

fof(f3834,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_4
    | ~ spl0_7
    | spl0_9 ),
    inference(global_subsumption,[],[f27,f34,f20,f6,f39,f1,f2,f13,f49,f3,f71,f74,f30,f28,f26,f16,f14,f12,f11,f31,f17,f15,f43,f207,f208,f212,f210,f213,f216,f220,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f712,f670,f666,f664,f767,f588,f768,f580,f559,f543,f522,f459,f446,f438,f621,f776,f777,f785,f37,f35,f33,f38,f36,f22,f8,f24,f5,f7,f9,f18,f19,f21,f23,f972,f973,f976,f977,f586,f578,f978,f979,f980,f47,f985,f986,f991,f990,f620,f992,f993,f1003,f997,f998,f983,f1007,f988,f1019,f540,f984,f10,f989,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f2668,f2672,f1069,f2673,f2674,f2691,f2692,f2678,f2679,f2693,f2681,f2682,f2683,f2684,f2685,f2686,f2689,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f3372,f3368,f3303,f3413,f3301,f3261,f3257,f3197,f3247,f3195,f3176,f3161,f2634,f2613,f2516,f2489,f2473,f2671,f2425,f2422,f2413,f2410,f2183,f2182,f3416,f2156,f2075,f2074,f1768,f1652,f1651,f3417,f2615,f2367,f2323,f2320,f1867,f1814,f1813,f3418,f2637,f2103,f2050,f2047,f2957,f2638,f2670,f2024,f1971,f1968,f3419,f2641,f1935,f1843,f1840,f3801,f3803,f3805,f3770,f3806,f3691,f3808,f4,f3809,f3816,f3817,f3820,f3821,f32,f3822,f3826,f3827,f3830,f3831,f25,f3832,f2777,f227]) ).

fof(f2777,plain,
    ( identity != sk_c5
    | spl0_9 ),
    inference(avatar_component_clause,[],[f2776]) ).

fof(f3832,plain,
    ( sk_c6 = inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_9 ),
    inference(global_subsumption,[],[f27,f34,f20,f6,f39,f1,f2,f13,f49,f3,f71,f74,f30,f28,f26,f16,f14,f12,f11,f31,f17,f15,f43,f207,f208,f212,f210,f213,f216,f220,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f712,f670,f666,f664,f767,f588,f768,f580,f559,f543,f522,f459,f446,f438,f621,f776,f777,f785,f37,f35,f33,f38,f36,f22,f8,f24,f5,f7,f9,f18,f19,f21,f23,f972,f973,f976,f977,f586,f578,f978,f979,f980,f47,f985,f986,f991,f990,f620,f992,f993,f1003,f997,f998,f983,f1007,f988,f1019,f540,f984,f10,f989,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f2668,f2672,f1069,f2673,f2674,f2691,f2692,f2678,f2679,f2693,f2681,f2682,f2683,f2684,f2685,f2686,f2689,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f3372,f3368,f3303,f3413,f3301,f3261,f3257,f3197,f3247,f3195,f3176,f3161,f2634,f2613,f2516,f2489,f2473,f2671,f2425,f2422,f2413,f2410,f2183,f2182,f3416,f2156,f2075,f2074,f1768,f1652,f1651,f3417,f2615,f2367,f2323,f2320,f1867,f1814,f1813,f3418,f2637,f2103,f2050,f2047,f2957,f2638,f2670,f2024,f1971,f1968,f3419,f2641,f1935,f1843,f1840,f3801,f3803,f3805,f3770,f3806,f3691,f3808,f4,f3809,f2777,f3816,f3817,f3820,f3821,f32,f3822,f3826,f3827,f3830,f3831,f25]) ).

fof(f3831,plain,
    ( sk_c6 = inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_9 ),
    inference(global_subsumption,[],[f27,f34,f20,f6,f39,f1,f2,f13,f49,f3,f71,f74,f30,f28,f26,f25,f16,f14,f12,f11,f31,f17,f15,f43,f207,f208,f212,f210,f213,f216,f220,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f712,f670,f666,f664,f767,f588,f768,f580,f559,f543,f522,f459,f446,f438,f621,f776,f777,f785,f37,f35,f33,f38,f36,f22,f8,f24,f5,f7,f9,f18,f19,f21,f23,f972,f973,f976,f977,f586,f578,f978,f979,f980,f47,f985,f986,f991,f990,f620,f992,f993,f1003,f997,f998,f983,f1007,f988,f1019,f540,f984,f10,f989,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f2668,f2672,f1069,f2673,f2674,f2691,f2692,f2678,f2679,f2693,f2681,f2682,f2683,f2684,f2685,f2686,f2689,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f3372,f3368,f3303,f3413,f3301,f3261,f3257,f3197,f3247,f3195,f3176,f3161,f2634,f2613,f2516,f2489,f2473,f2671,f2425,f2422,f2413,f2410,f2183,f2182,f3416,f2156,f2075,f2074,f1768,f1652,f1651,f3417,f2615,f2367,f2323,f2320,f1867,f1814,f1813,f3418,f2637,f2103,f2050,f2047,f2957,f2638,f2670,f2024,f1971,f1968,f3419,f2641,f1935,f1843,f1840,f3801,f3803,f3805,f3770,f3806,f3691,f3808,f4,f3809,f2777,f3816,f3817,f3820,f3821,f32,f3822,f3826,f3827,f3830]) ).

fof(f3827,plain,
    ( sk_c6 = inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_9 ),
    inference(global_subsumption,[],[f27,f34,f20,f6,f39,f1,f2,f13,f49,f3,f71,f74,f30,f28,f26,f25,f16,f14,f12,f11,f31,f17,f15,f43,f207,f208,f212,f210,f213,f216,f220,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f712,f670,f666,f664,f767,f588,f768,f580,f559,f543,f522,f459,f446,f438,f621,f776,f777,f785,f37,f35,f33,f38,f36,f22,f8,f24,f5,f7,f9,f18,f19,f21,f23,f972,f973,f976,f977,f586,f578,f978,f979,f980,f47,f985,f986,f991,f990,f620,f992,f993,f1003,f997,f998,f983,f1007,f988,f1019,f540,f984,f10,f989,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f2668,f2672,f1069,f2673,f2674,f2691,f2692,f2678,f2679,f2693,f2681,f2682,f2683,f2684,f2685,f2686,f2689,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f3372,f3368,f3303,f3413,f3301,f3261,f3257,f3197,f3247,f3195,f3176,f3161,f2634,f2613,f2516,f2489,f2473,f2671,f2425,f2422,f2413,f2410,f2183,f2182,f3416,f2156,f2075,f2074,f1768,f1652,f1651,f3417,f2615,f2367,f2323,f2320,f1867,f1814,f1813,f3418,f2637,f2103,f2050,f2047,f2957,f2638,f2670,f2024,f1971,f1968,f3419,f2641,f1935,f1843,f1840,f3801,f3803,f3805,f3770,f3806,f3691,f3808,f4,f3809,f2777,f3816,f3817,f3820,f3821,f32,f3822,f3826]) ).

fof(f3826,plain,
    ( identity = sk_c5
    | sk_c6 = inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f3825,f983]) ).

fof(f3825,plain,
    ( sk_c5 = multiply(sk_c5,sk_c7)
    | sk_c6 = inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f30,f2689]) ).

fof(f3822,plain,
    ( sk_c6 = multiply(sk_c2,sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_9 ),
    inference(global_subsumption,[],[f27,f34,f20,f6,f39,f1,f2,f13,f49,f3,f71,f74,f30,f28,f26,f25,f16,f14,f12,f11,f31,f17,f15,f43,f207,f208,f212,f210,f213,f216,f220,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f712,f670,f666,f664,f767,f588,f768,f580,f559,f543,f522,f459,f446,f438,f621,f776,f777,f785,f37,f35,f33,f38,f36,f22,f8,f24,f5,f7,f9,f18,f19,f21,f23,f972,f973,f976,f977,f586,f578,f978,f979,f980,f47,f985,f986,f991,f990,f620,f992,f993,f1003,f997,f998,f983,f1007,f988,f1019,f540,f984,f10,f989,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f2668,f2672,f1069,f2673,f2674,f2691,f2692,f2678,f2679,f2693,f2681,f2682,f2683,f2684,f2685,f2686,f2689,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f3372,f3368,f3303,f3413,f3301,f3261,f3257,f3197,f3247,f3195,f3176,f3161,f2634,f2613,f2516,f2489,f2473,f2671,f2425,f2422,f2413,f2410,f2183,f2182,f3416,f2156,f2075,f2074,f1768,f1652,f1651,f3417,f2615,f2367,f2323,f2320,f1867,f1814,f1813,f3418,f2637,f2103,f2050,f2047,f2957,f2638,f2670,f2024,f1971,f1968,f3419,f2641,f1935,f1843,f1840,f3801,f3803,f3805,f3770,f3806,f3691,f3808,f4,f3809,f2777,f3816,f3817,f3820,f3821,f32]) ).

fof(f3821,plain,
    ( sk_c6 = multiply(sk_c2,sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_9 ),
    inference(global_subsumption,[],[f27,f34,f20,f6,f39,f1,f2,f13,f49,f3,f71,f74,f30,f28,f26,f25,f16,f14,f12,f11,f31,f17,f15,f43,f207,f208,f212,f210,f213,f216,f220,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f712,f670,f666,f664,f767,f588,f768,f580,f559,f543,f522,f459,f446,f438,f621,f776,f777,f785,f37,f35,f33,f32,f38,f36,f22,f8,f24,f5,f7,f9,f18,f19,f21,f23,f972,f973,f976,f977,f586,f578,f978,f979,f980,f47,f985,f986,f991,f990,f620,f992,f993,f1003,f997,f998,f983,f1007,f988,f1019,f540,f984,f10,f989,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f2668,f2672,f1069,f2673,f2674,f2691,f2692,f2678,f2679,f2693,f2681,f2682,f2683,f2684,f2685,f2686,f2689,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f3372,f3368,f3303,f3413,f3301,f3261,f3257,f3197,f3247,f3195,f3176,f3161,f2634,f2613,f2516,f2489,f2473,f2671,f2425,f2422,f2413,f2410,f2183,f2182,f3416,f2156,f2075,f2074,f1768,f1652,f1651,f3417,f2615,f2367,f2323,f2320,f1867,f1814,f1813,f3418,f2637,f2103,f2050,f2047,f2957,f2638,f2670,f2024,f1971,f1968,f3419,f2641,f1935,f1843,f1840,f3801,f3803,f3805,f3770,f3806,f3691,f3808,f4,f3809,f2777,f3816,f3817,f3820]) ).

fof(f3817,plain,
    ( sk_c6 = multiply(sk_c2,sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_9 ),
    inference(global_subsumption,[],[f27,f34,f20,f6,f39,f1,f2,f13,f49,f3,f71,f74,f30,f28,f26,f25,f16,f14,f12,f11,f31,f17,f15,f43,f207,f208,f212,f210,f213,f216,f220,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f712,f670,f666,f664,f767,f588,f768,f580,f559,f543,f522,f459,f446,f438,f621,f776,f777,f785,f37,f35,f33,f32,f38,f36,f22,f8,f24,f5,f7,f9,f18,f19,f21,f23,f972,f973,f976,f977,f586,f578,f978,f979,f980,f47,f985,f986,f991,f990,f620,f992,f993,f1003,f997,f998,f983,f1007,f988,f1019,f540,f984,f10,f989,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f2668,f2672,f1069,f2673,f2674,f2691,f2692,f2678,f2679,f2693,f2681,f2682,f2683,f2684,f2685,f2686,f2689,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f3372,f3368,f3303,f3413,f3301,f3261,f3257,f3197,f3247,f3195,f3176,f3161,f2634,f2613,f2516,f2489,f2473,f2671,f2425,f2422,f2413,f2410,f2183,f2182,f3416,f2156,f2075,f2074,f1768,f1652,f1651,f3417,f2615,f2367,f2323,f2320,f1867,f1814,f1813,f3418,f2637,f2103,f2050,f2047,f2957,f2638,f2670,f2024,f1971,f1968,f3419,f2641,f1935,f1843,f1840,f3801,f3803,f3805,f3770,f3806,f3691,f3808,f4,f3809,f2777,f3816]) ).

fof(f3816,plain,
    ( identity = sk_c5
    | sk_c6 = multiply(sk_c2,sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f3815,f983]) ).

fof(f3815,plain,
    ( sk_c5 = multiply(sk_c5,sk_c7)
    | sk_c6 = multiply(sk_c2,sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f37,f2689]) ).

fof(f3809,plain,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_9 ),
    inference(global_subsumption,[],[f27,f34,f20,f6,f39,f1,f2,f13,f49,f3,f71,f74,f30,f28,f26,f25,f16,f14,f12,f11,f31,f17,f15,f43,f207,f208,f212,f210,f213,f216,f220,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f712,f670,f666,f664,f767,f588,f768,f580,f559,f543,f522,f459,f446,f438,f621,f776,f777,f785,f37,f35,f33,f32,f38,f36,f22,f8,f24,f5,f7,f9,f18,f19,f21,f23,f972,f973,f976,f977,f586,f578,f978,f979,f980,f47,f985,f986,f991,f990,f620,f992,f993,f1003,f997,f998,f983,f1007,f988,f1019,f540,f984,f10,f989,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f2668,f2672,f1069,f2673,f2674,f2691,f2692,f2678,f2679,f2693,f2681,f2682,f2683,f2684,f2685,f2686,f2689,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f3372,f3368,f3303,f3413,f3301,f3261,f3257,f3197,f3247,f3195,f3176,f3161,f2634,f2613,f2516,f2489,f2473,f2671,f2425,f2422,f2413,f2410,f2183,f2182,f3416,f2156,f2075,f2074,f1768,f1652,f1651,f3417,f2615,f2367,f2323,f2320,f1867,f1814,f1813,f3418,f2637,f2103,f2050,f2047,f2957,f2638,f2670,f2024,f1971,f1968,f3419,f2641,f1935,f1843,f1840,f2777,f3801,f3803,f3805,f3770,f3806,f3691,f3808,f4]) ).

fof(f3808,plain,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_9 ),
    inference(global_subsumption,[],[f27,f34,f20,f6,f39,f1,f2,f13,f49,f3,f71,f74,f30,f28,f26,f25,f16,f14,f12,f11,f31,f17,f15,f43,f207,f208,f212,f210,f213,f216,f220,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f712,f670,f666,f664,f767,f588,f768,f580,f559,f543,f522,f459,f446,f438,f621,f776,f777,f785,f37,f35,f33,f32,f38,f36,f22,f8,f24,f4,f5,f7,f9,f18,f19,f21,f23,f972,f973,f976,f977,f586,f578,f978,f979,f980,f47,f985,f986,f991,f990,f620,f992,f993,f1003,f997,f998,f983,f1007,f988,f1019,f540,f984,f10,f989,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f2668,f2672,f1069,f2673,f2674,f2691,f2692,f2678,f2679,f2693,f2681,f2682,f2683,f2684,f2685,f2686,f2689,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f3372,f3368,f3303,f3413,f3301,f3261,f3257,f3197,f3247,f3195,f3176,f3161,f2634,f2613,f2516,f2489,f2473,f2671,f2425,f2422,f2413,f2410,f2183,f2182,f3416,f2156,f2075,f2074,f1768,f1652,f1651,f3417,f2615,f2367,f2323,f2320,f1867,f1814,f1813,f3418,f2637,f2103,f2050,f2047,f2957,f2638,f2670,f2024,f1971,f1968,f3419,f2641,f1935,f1843,f1840,f2777,f3801,f3803,f3805,f3770,f3806,f3691]) ).

fof(f3806,plain,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_9 ),
    inference(global_subsumption,[],[f27,f34,f20,f6,f39,f1,f2,f13,f49,f3,f71,f74,f30,f28,f26,f25,f16,f14,f12,f11,f31,f17,f15,f43,f207,f208,f212,f210,f213,f216,f220,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f712,f670,f666,f664,f767,f588,f768,f580,f559,f543,f522,f459,f446,f438,f621,f776,f777,f785,f37,f35,f33,f32,f38,f36,f22,f8,f24,f4,f5,f7,f9,f18,f19,f21,f23,f972,f973,f976,f977,f586,f578,f978,f979,f980,f47,f985,f986,f991,f990,f620,f992,f993,f1003,f997,f998,f983,f1007,f988,f1019,f540,f984,f10,f989,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f2668,f2672,f1069,f2673,f2674,f2691,f2692,f2678,f2679,f2693,f2681,f2682,f2683,f2684,f2685,f2686,f2689,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f3372,f3368,f3303,f3413,f3301,f3261,f3257,f3197,f3247,f3195,f3176,f3161,f2634,f2613,f2516,f2489,f2473,f2671,f2425,f2422,f2413,f2410,f2183,f2182,f3416,f2156,f2075,f2074,f1768,f1652,f1651,f3417,f2615,f2367,f2323,f2320,f1867,f1814,f1813,f3418,f2637,f2103,f2050,f2047,f2957,f2638,f2670,f2024,f1971,f1968,f3419,f2641,f1935,f1843,f1840,f2777,f3801,f3803,f3805,f3770]) ).

fof(f3770,plain,
    ( identity = sk_c5
    | multiply(sk_c6,sk_c7) = sk_c5
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f3769,f983]) ).

fof(f3769,plain,
    ( sk_c5 = multiply(sk_c5,sk_c7)
    | multiply(sk_c6,sk_c7) = sk_c5
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f9,f2689]) ).

fof(f3805,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != sk_c5
        | identity != sk_c6
        | identity != inverse(X4)
        | identity != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X6)
        | sk_c7 != multiply(X6,sk_c7)
        | identity != multiply(X4,sk_c7)
        | sk_c7 != multiply(X3,identity)
        | sk_c7 != multiply(X5,identity) )
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f3804,f1]) ).

fof(f3804,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != sk_c5
        | identity != sk_c6
        | identity != inverse(X4)
        | identity != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X6)
        | sk_c7 != multiply(X6,sk_c7)
        | identity != multiply(X4,sk_c7)
        | sk_c7 != multiply(identity,sk_c7)
        | sk_c7 != multiply(X3,identity)
        | sk_c7 != multiply(X5,identity) )
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(inner_rewriting,[],[f3803]) ).

fof(f3803,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != sk_c5
        | identity != sk_c6
        | identity != inverse(X4)
        | identity != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X6)
        | sk_c5 != multiply(X6,sk_c7)
        | identity != multiply(X4,sk_c5)
        | sk_c7 != multiply(identity,sk_c5)
        | sk_c7 != multiply(X3,identity)
        | sk_c7 != multiply(X5,identity) )
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f3802,f1]) ).

fof(f3802,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != sk_c6
        | identity != inverse(X4)
        | identity != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X6)
        | sk_c5 != multiply(X6,sk_c7)
        | identity != multiply(X4,sk_c5)
        | sk_c7 != multiply(identity,sk_c5)
        | sk_c7 != multiply(X3,identity)
        | sk_c7 != multiply(X5,identity)
        | sk_c5 != multiply(identity,sk_c7) )
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(inner_rewriting,[],[f3801]) ).

fof(f3801,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != sk_c6
        | sk_c6 != inverse(X4)
        | sk_c6 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X6)
        | sk_c5 != multiply(X6,sk_c7)
        | sk_c6 != multiply(X4,sk_c5)
        | sk_c7 != multiply(sk_c6,sk_c5)
        | sk_c7 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X5,sk_c6)
        | multiply(sk_c6,sk_c7) != sk_c5 )
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f973,f988]) ).

fof(f1840,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c7),sk_c5) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f1702,f47]) ).

fof(f1843,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c5),sk_c7) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f1702,f620]) ).

fof(f1935,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c7),sk_c5) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1841,f578]) ).

fof(f2641,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c5),sk_c7) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1845,f578]) ).

fof(f3419,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c5),sk_c7) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f2684,f2689]) ).

fof(f1968,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c5),sk_c7) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f1836,f47]) ).

fof(f1971,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c7),sk_c5) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f1836,f620]) ).

fof(f2024,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c7),sk_c5) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1973,f578]) ).

fof(f2670,plain,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | identity = sk_c6
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1390,f578]) ).

fof(f1390,plain,
    ( identity = sk_c6
    | sk_c7 = multiply(sk_c1,sk_c6)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f19,f988]) ).

fof(f2638,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c5),sk_c7) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1969,f578]) ).

fof(f2957,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c7),sk_c5) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f2685,f2689]) ).

fof(f2047,plain,
    ( ! [X0] : sk_c7 = multiply(X0,inverse(multiply(sk_c5,X0)))
    | ~ spl0_2 ),
    inference(superposition,[],[f1612,f47]) ).

fof(f2050,plain,
    ( ! [X0] : sk_c5 = multiply(X0,inverse(multiply(sk_c7,X0)))
    | ~ spl0_2 ),
    inference(superposition,[],[f1612,f620]) ).

fof(f2103,plain,
    ( ! [X0] : sk_c7 = multiply(X0,inverse(multiply(sk_c5,X0)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2048,f578]) ).

fof(f2637,plain,
    ( ! [X0] : sk_c5 = multiply(X0,inverse(multiply(sk_c7,X0)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2052,f578]) ).

fof(f3418,plain,
    ( ! [X0] : sk_c5 = multiply(X0,inverse(multiply(sk_c7,X0)))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f2681,f2689]) ).

fof(f1813,plain,
    ( ! [X0] : sk_c7 = multiply(X0,inverse(multiply(sk_c5,X0)))
    | ~ spl0_2 ),
    inference(superposition,[],[f1702,f989]) ).

fof(f1814,plain,
    ( ! [X0] : sk_c5 = multiply(X0,inverse(multiply(sk_c7,X0)))
    | ~ spl0_2 ),
    inference(superposition,[],[f1702,f984]) ).

fof(f1867,plain,
    ( ! [X0] : sk_c7 = multiply(X0,inverse(multiply(sk_c5,X0)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1812,f578]) ).

fof(f2320,plain,
    ( ! [X0] : sk_c7 = multiply(inverse(multiply(X0,sk_c5)),X0)
    | ~ spl0_2 ),
    inference(superposition,[],[f2132,f47]) ).

fof(f2323,plain,
    ( ! [X0] : sk_c5 = multiply(inverse(multiply(X0,sk_c7)),X0)
    | ~ spl0_2 ),
    inference(superposition,[],[f2132,f620]) ).

fof(f2367,plain,
    ( ! [X0] : sk_c7 = multiply(inverse(multiply(X0,sk_c5)),X0)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2321,f578]) ).

fof(f2615,plain,
    ( ! [X0] : sk_c5 = multiply(inverse(multiply(X0,sk_c7)),X0)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2325,f578]) ).

fof(f3417,plain,
    ( ! [X0] : sk_c5 = multiply(inverse(multiply(X0,sk_c7)),X0)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f2686,f2689]) ).

fof(f1651,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c7)) = multiply(sk_c5,inverse(X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f984,f1608]) ).

fof(f1652,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c5)) = multiply(sk_c7,inverse(X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f989,f1608]) ).

fof(f1768,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c5)) = multiply(sk_c7,inverse(X0))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1654,f578]) ).

fof(f2074,plain,
    ( ! [X0] : multiply(sk_c5,X0) = inverse(multiply(inverse(X0),sk_c7))
    | ~ spl0_2 ),
    inference(superposition,[],[f984,f1612]) ).

fof(f2075,plain,
    ( ! [X0] : multiply(sk_c7,X0) = inverse(multiply(inverse(X0),sk_c5))
    | ~ spl0_2 ),
    inference(superposition,[],[f989,f1612]) ).

fof(f2156,plain,
    ( ! [X0] : multiply(sk_c7,X0) = inverse(multiply(inverse(X0),sk_c5))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2077,f578]) ).

fof(f3416,plain,
    ( identity = sk_c5
    | sk_c7 = multiply(sk_c5,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f3415,f983]) ).

fof(f3415,plain,
    ( sk_c5 = multiply(sk_c5,sk_c7)
    | sk_c7 = multiply(sk_c5,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f2668,f2689]) ).

fof(f2182,plain,
    ( ! [X0] : inverse(multiply(sk_c5,X0)) = multiply(inverse(X0),sk_c7)
    | ~ spl0_2 ),
    inference(superposition,[],[f1706,f989]) ).

fof(f2183,plain,
    ( ! [X0] : inverse(multiply(sk_c7,X0)) = multiply(inverse(X0),sk_c5)
    | ~ spl0_2 ),
    inference(superposition,[],[f1706,f984]) ).

fof(f2410,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c7)) = multiply(sk_c5,inverse(X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f1657,f47]) ).

fof(f2413,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c5)) = multiply(sk_c7,inverse(X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f1657,f620]) ).

fof(f2422,plain,
    ( ! [X0] : inverse(multiply(sk_c7,X0)) = multiply(inverse(X0),sk_c5)
    | ~ spl0_2 ),
    inference(superposition,[],[f1657,f47]) ).

fof(f2425,plain,
    ( ! [X0] : inverse(multiply(sk_c5,X0)) = multiply(inverse(X0),sk_c7)
    | ~ spl0_2 ),
    inference(superposition,[],[f1657,f620]) ).

fof(f2671,plain,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | sk_c7 = multiply(sk_c6,sk_c5)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f18,f578]) ).

fof(f2473,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c7)) = multiply(sk_c5,inverse(X0))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2411,f578]) ).

fof(f2489,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c5)) = multiply(sk_c7,inverse(X0))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2415,f578]) ).

fof(f2516,plain,
    ( ! [X0] : inverse(multiply(sk_c7,X0)) = multiply(inverse(X0),sk_c5)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2423,f578]) ).

fof(f2613,plain,
    ( ! [X0] : inverse(multiply(sk_c5,X0)) = multiply(inverse(X0),sk_c7)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2427,f578]) ).

fof(f2634,plain,
    ( ! [X0] : inverse(multiply(sk_c5,X0)) = multiply(inverse(X0),sk_c7)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2181,f578]) ).

fof(f3161,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c5)) = multiply(sk_c7,inverse(X0))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f2682,f2689]) ).

fof(f3176,plain,
    ( ! [X0] : inverse(multiply(sk_c5,X0)) = multiply(inverse(X0),sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f2683,f2689]) ).

fof(f3195,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c5)) = multiply(sk_c7,inverse(X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f1660,f47]) ).

fof(f3247,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c5)) = multiply(sk_c7,inverse(X0))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f3196,f578]) ).

fof(f3197,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c7)) = multiply(sk_c5,inverse(X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f1660,f620]) ).

fof(f3257,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c7)) = multiply(sk_c5,inverse(X0))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f3199,f2689]) ).

fof(f3199,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c7)) = multiply(sk_c4,inverse(X0))
    | ~ spl0_7 ),
    inference(superposition,[],[f1660,f1069]) ).

fof(f3261,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c7)) = multiply(sk_c5,inverse(X0))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f3200,f578]) ).

fof(f3301,plain,
    ( ! [X0] : inverse(multiply(sk_c5,X0)) = multiply(inverse(X0),sk_c7)
    | ~ spl0_2 ),
    inference(superposition,[],[f2082,f47]) ).

fof(f3413,plain,
    ( ! [X0] : inverse(multiply(sk_c5,X0)) = multiply(inverse(X0),sk_c7)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f3302,f578]) ).

fof(f3303,plain,
    ( ! [X0] : inverse(multiply(sk_c7,X0)) = multiply(inverse(X0),sk_c5)
    | ~ spl0_2 ),
    inference(superposition,[],[f2082,f620]) ).

fof(f3368,plain,
    ( ! [X0] : inverse(multiply(sk_c7,X0)) = multiply(inverse(X0),sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f3305,f2689]) ).

fof(f3305,plain,
    ( ! [X0] : inverse(multiply(sk_c7,X0)) = multiply(inverse(X0),sk_c4)
    | ~ spl0_7 ),
    inference(superposition,[],[f2082,f1069]) ).

fof(f3372,plain,
    ( ! [X0] : inverse(multiply(sk_c7,X0)) = multiply(inverse(X0),sk_c5)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f3306,f578]) ).

fof(f2689,plain,
    ( sk_c5 = sk_c4
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f2688,f563]) ).

fof(f2688,plain,
    ( sk_c4 = multiply(sk_c5,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f2687,f578]) ).

fof(f2687,plain,
    ( sk_c4 = multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f2675,f621]) ).

fof(f2675,plain,
    ( sk_c4 = multiply(inverse(sk_c7),identity)
    | ~ spl0_7 ),
    inference(superposition,[],[f439,f1069]) ).

fof(f2686,plain,
    ( ! [X0] : sk_c4 = multiply(inverse(multiply(X0,sk_c7)),X0)
    | ~ spl0_7 ),
    inference(superposition,[],[f2132,f1069]) ).

fof(f2685,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c7),sk_c4) = X0
    | ~ spl0_7 ),
    inference(superposition,[],[f1836,f1069]) ).

fof(f2684,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c4),sk_c7) = X0
    | ~ spl0_7 ),
    inference(superposition,[],[f1702,f1069]) ).

fof(f2683,plain,
    ( ! [X0] : multiply(inverse(X0),sk_c7) = inverse(multiply(sk_c4,X0))
    | ~ spl0_7 ),
    inference(superposition,[],[f1657,f1069]) ).

fof(f2682,plain,
    ( ! [X0] : multiply(sk_c7,inverse(X0)) = inverse(multiply(X0,sk_c4))
    | ~ spl0_7 ),
    inference(superposition,[],[f1657,f1069]) ).

fof(f2681,plain,
    ( ! [X0] : sk_c4 = multiply(X0,inverse(multiply(sk_c7,X0)))
    | ~ spl0_7 ),
    inference(superposition,[],[f1612,f1069]) ).

fof(f2693,plain,
    ( sk_c5 = sk_c4
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f2680,f47]) ).

fof(f2679,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c7,X0)) = X0
    | ~ spl0_7 ),
    inference(superposition,[],[f564,f1069]) ).

fof(f2678,plain,
    ( identity = multiply(sk_c4,sk_c7)
    | ~ spl0_7 ),
    inference(superposition,[],[f562,f1069]) ).

fof(f2692,plain,
    ( identity = multiply(sk_c7,sk_c4)
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f2677,f577]) ).

fof(f2677,plain,
    ( identity = multiply(inverse(inverse(sk_c7)),sk_c4)
    | ~ spl0_7 ),
    inference(superposition,[],[f524,f1069]) ).

fof(f2691,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c4,X0)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f2690,f578]) ).

fof(f2690,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c1,X0)
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f2676,f621]) ).

fof(f2676,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c7),X0)
    | ~ spl0_7 ),
    inference(superposition,[],[f450,f1069]) ).

fof(f2674,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c4,X0)) = X0
    | ~ spl0_7 ),
    inference(superposition,[],[f68,f1069]) ).

fof(f2673,plain,
    ( identity = multiply(sk_c7,sk_c4)
    | ~ spl0_7 ),
    inference(superposition,[],[f2,f1069]) ).

fof(f989,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c5,X0)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f564,f47]) ).

fof(f984,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c7,X0)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f68,f47]) ).

fof(f1019,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c5,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1016,f1]) ).

fof(f1016,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c5,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f988]) ).

fof(f1007,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c7,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1005,f1]) ).

fof(f1005,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c7,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f983]) ).

fof(f983,plain,
    ( identity = multiply(sk_c5,sk_c7)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f47]) ).

fof(f998,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c7,X0)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f564,f620]) ).

fof(f997,plain,
    ( identity = multiply(sk_c5,sk_c7)
    | ~ spl0_2 ),
    inference(superposition,[],[f562,f620]) ).

fof(f1003,plain,
    ( identity = multiply(sk_c7,sk_c5)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f996,f577]) ).

fof(f996,plain,
    ( identity = multiply(inverse(inverse(sk_c7)),sk_c5)
    | ~ spl0_2 ),
    inference(superposition,[],[f524,f620]) ).

fof(f993,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c5,X0)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f68,f620]) ).

fof(f992,plain,
    ( identity = multiply(sk_c7,sk_c5)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f620]) ).

fof(f990,plain,
    ( sk_c7 = inverse(sk_c5)
    | ~ spl0_2 ),
    inference(superposition,[],[f577,f47]) ).

fof(f991,plain,
    ( identity = multiply(sk_c5,sk_c7)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f987,f577]) ).

fof(f987,plain,
    ( identity = multiply(inverse(inverse(sk_c5)),sk_c7)
    | ~ spl0_2 ),
    inference(superposition,[],[f524,f47]) ).

fof(f986,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(inverse(sk_c5),X0)
    | ~ spl0_2 ),
    inference(superposition,[],[f450,f47]) ).

fof(f985,plain,
    ( sk_c7 = multiply(inverse(sk_c5),identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f439,f47]) ).

fof(f980,plain,
    ( sk_c7 = inverse(sk_c5)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f43,f578]) ).

fof(f979,plain,
    ( identity = multiply(sk_c7,sk_c5)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f207,f578]) ).

fof(f978,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c5,X0)) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f210,f578]) ).

fof(f586,plain,
    ( sk_c5 = sk_c1
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f208,f563]) ).

fof(f973,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c6 != inverse(X4)
        | sk_c6 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X6)
        | sk_c5 != multiply(X6,sk_c7)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X4,sk_c5)
        | sk_c7 != multiply(sk_c6,sk_c5)
        | sk_c7 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X5,sk_c6)
        | multiply(sk_c6,sk_c7) != sk_c5 )
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(global_subsumption,[],[f972,f27,f34,f20,f6,f39,f1,f2,f13,f47,f49,f3,f71,f74,f30,f28,f26,f25,f16,f14,f12,f11,f31,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f669,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f540,f438,f37,f35,f33,f32,f38,f36,f22,f8,f10,f24,f4,f5,f7,f9,f18,f19,f21,f23]) ).

fof(f446,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c7),X0)
    | ~ spl0_1 ),
    inference(superposition,[],[f68,f210]) ).

fof(f459,plain,
    ( sk_c1 = multiply(inverse(sk_c7),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f68,f207]) ).

fof(f522,plain,
    ( sk_c1 = multiply(inverse(sk_c7),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f439,f43]) ).

fof(f559,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c7),X0)
    | ~ spl0_1 ),
    inference(superposition,[],[f450,f43]) ).

fof(f220,plain,
    ( sk_c7 = multiply(sk_c7,identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f216,f49]) ).

fof(f216,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c5,X0)) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f210,f213]) ).

fof(f213,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c1,X0)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f71,f210]) ).

fof(f212,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c1,X0)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f211,f1]) ).

fof(f211,plain,
    ( ! [X0] : multiply(sk_c5,multiply(identity,X0)) = multiply(sk_c1,X0)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f208]) ).

fof(f74,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c6 != inverse(X4)
        | sk_c6 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X6)
        | sk_c5 != multiply(X6,sk_c7)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X4,sk_c5)
        | sk_c7 != multiply(sk_c6,sk_c5)
        | sk_c7 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X5,sk_c6)
        | multiply(sk_c6,sk_c7) != sk_c5 )
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f39,f47]) ).

fof(f3813,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_6
    | ~ spl0_7
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3812]) ).

fof(f3812,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6
    | ~ spl0_7
    | spl0_9 ),
    inference(global_subsumption,[],[f27,f34,f20,f6,f39,f1,f2,f13,f49,f3,f71,f74,f30,f28,f26,f25,f16,f14,f12,f11,f31,f17,f15,f43,f207,f208,f212,f210,f213,f216,f220,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f712,f670,f666,f664,f767,f588,f768,f580,f559,f543,f522,f459,f446,f438,f621,f776,f777,f785,f37,f35,f33,f32,f38,f36,f22,f8,f24,f5,f7,f9,f18,f19,f21,f23,f972,f973,f976,f977,f586,f578,f978,f979,f980,f47,f985,f986,f991,f990,f620,f992,f993,f1003,f997,f998,f983,f1007,f988,f1019,f540,f984,f10,f989,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f2668,f2672,f1069,f2673,f2674,f2691,f2692,f2678,f2679,f2693,f2681,f2682,f2683,f2684,f2685,f2686,f2689,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f3372,f3368,f3303,f3413,f3301,f3261,f3257,f3197,f3247,f3195,f3176,f3161,f2634,f2613,f2516,f2489,f2473,f2671,f2425,f2422,f2413,f2410,f2183,f2182,f3416,f2156,f2075,f2074,f1768,f1652,f1651,f3417,f2615,f2367,f2323,f2320,f1867,f1814,f1813,f3418,f2637,f2103,f2050,f2047,f2957,f2638,f2670,f2024,f1971,f1968,f3419,f2641,f1935,f1843,f1840,f3801,f3803,f3805,f3770,f3806,f3691,f3808,f4,f3809,f1064,f2777]) ).

fof(f1064,plain,
    ( multiply(sk_c6,sk_c7) != sk_c5
    | spl0_6 ),
    inference(avatar_component_clause,[],[f1063]) ).

fof(f3811,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_6
    | ~ spl0_7
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3810]) ).

fof(f3810,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6
    | ~ spl0_7
    | spl0_9 ),
    inference(global_subsumption,[],[f27,f34,f20,f6,f39,f1,f2,f13,f49,f3,f71,f74,f30,f28,f26,f25,f16,f14,f12,f11,f31,f17,f15,f43,f207,f208,f212,f210,f213,f216,f220,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f712,f670,f666,f664,f767,f588,f768,f580,f559,f543,f522,f459,f446,f438,f621,f776,f777,f785,f37,f35,f33,f32,f38,f36,f22,f8,f24,f5,f7,f9,f18,f19,f21,f23,f972,f973,f976,f977,f586,f578,f978,f979,f980,f47,f985,f986,f991,f990,f620,f992,f993,f1003,f997,f998,f983,f1007,f988,f1019,f540,f984,f10,f989,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f2668,f2672,f1069,f2673,f2674,f2691,f2692,f2678,f2679,f2693,f2681,f2682,f2683,f2684,f2685,f2686,f2689,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f3372,f3368,f3303,f3413,f3301,f3261,f3257,f3197,f3247,f3195,f3176,f3161,f2634,f2613,f2516,f2489,f2473,f2671,f2425,f2422,f2413,f2410,f2183,f2182,f3416,f2156,f2075,f2074,f1768,f1652,f1651,f3417,f2615,f2367,f2323,f2320,f1867,f1814,f1813,f3418,f2637,f2103,f2050,f2047,f2957,f2638,f2670,f2024,f1971,f1968,f3419,f2641,f1935,f1843,f1840,f2777,f3801,f3803,f3805,f3770,f3806,f3691,f3808,f4,f3809,f1064]) ).

fof(f3796,plain,
    ( spl0_6
    | spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3795]) ).

fof(f3795,plain,
    ( $false
    | spl0_6
    | spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f27,f34,f20,f6,f39,f1,f2,f13,f3,f30,f28,f26,f25,f16,f14,f12,f11,f31,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f37,f35,f33,f32,f38,f36,f22,f8,f24,f4,f5,f7,f9,f18,f19,f21,f23,f540,f10,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f2778,f3757,f3760,f2773]) ).

fof(f2773,plain,
    ( sk_c6 != sk_c7
    | spl0_8 ),
    inference(avatar_component_clause,[],[f2772]) ).

fof(f2772,plain,
    ( spl0_8
  <=> sk_c6 = sk_c7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f3760,plain,
    ( identity = multiply(sk_c6,sk_c7)
    | sk_c6 = sk_c7
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3759,f2778]) ).

fof(f3759,plain,
    ( sk_c6 = sk_c7
    | multiply(sk_c6,sk_c7) = sk_c5
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3758,f563]) ).

fof(f3758,plain,
    ( sk_c7 = multiply(sk_c6,identity)
    | multiply(sk_c6,sk_c7) = sk_c5
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f4,f2778]) ).

fof(f3757,plain,
    ( identity != multiply(sk_c6,sk_c7)
    | spl0_6
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1064,f2778]) ).

fof(f3794,plain,
    ( ~ spl0_2
    | spl0_6
    | spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3793]) ).

fof(f3793,plain,
    ( $false
    | ~ spl0_2
    | spl0_6
    | spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f2802,f27,f34,f20,f6,f39,f1,f2,f13,f3,f30,f28,f26,f25,f16,f14,f12,f11,f31,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f37,f35,f33,f32,f38,f36,f22,f8,f24,f4,f5,f7,f9,f18,f19,f21,f23,f540,f10,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f2773,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f2778,f3757,f3760]) ).

fof(f2802,plain,
    ( identity != sk_c6
    | ~ spl0_2
    | spl0_8
    | ~ spl0_9 ),
    inference(superposition,[],[f2773,f2788]) ).

fof(f2788,plain,
    ( identity = sk_c7
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2780,f540]) ).

fof(f2780,plain,
    ( sk_c7 = inverse(identity)
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(superposition,[],[f620,f2778]) ).

fof(f3792,plain,
    ( ~ spl0_4
    | ~ spl0_5
    | spl0_6
    | spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3791]) ).

fof(f3791,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_5
    | spl0_6
    | spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f3790,f27,f34,f20,f6,f39,f1,f2,f13,f3,f30,f28,f26,f25,f16,f14,f12,f11,f31,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f37,f35,f33,f32,f38,f36,f22,f8,f24,f4,f5,f7,f9,f18,f19,f21,f23,f540,f10,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f2773,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f2778,f3757,f3760]) ).

fof(f3790,plain,
    ( sk_c6 = multiply(sk_c3,identity)
    | identity = sk_c7
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2666,f2778]) ).

fof(f2666,plain,
    ( identity = sk_c7
    | sk_c6 = multiply(sk_c3,sk_c5)
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f970,f869]) ).

fof(f970,plain,
    ( sk_c6 = multiply(sk_c3,sk_c5)
    | sk_c7 = multiply(sk_c3,sk_c6)
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f35,f875]) ).

fof(f875,plain,
    ( sk_c3 = sk_c2
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(superposition,[],[f871,f622]) ).

fof(f622,plain,
    ( sk_c2 = inverse(sk_c6)
    | ~ spl0_4 ),
    inference(superposition,[],[f577,f228]) ).

fof(f228,plain,
    ( sk_c6 = inverse(sk_c2)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f226]) ).

fof(f871,plain,
    ( sk_c3 = inverse(sk_c6)
    | ~ spl0_5 ),
    inference(superposition,[],[f577,f232]) ).

fof(f3789,plain,
    ( ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | spl0_6
    | spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3788]) ).

fof(f3788,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | spl0_6
    | spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f3787,f27,f34,f20,f6,f39,f1,f2,f13,f3,f30,f28,f26,f25,f16,f14,f12,f11,f31,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f37,f35,f33,f32,f38,f36,f22,f8,f24,f4,f5,f7,f9,f18,f19,f21,f23,f540,f10,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f2773,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f2778,f3757,f3760]) ).

fof(f3787,plain,
    ( sk_c6 = multiply(sk_c3,identity)
    | identity = sk_c6
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2667,f2778]) ).

fof(f2667,plain,
    ( identity = sk_c6
    | sk_c6 = multiply(sk_c3,sk_c5)
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f969,f988]) ).

fof(f969,plain,
    ( sk_c6 = multiply(sk_c3,sk_c5)
    | sk_c6 = multiply(sk_c7,sk_c5)
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f33,f875]) ).

fof(f3786,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3785]) ).

fof(f3785,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f3784,f27,f34,f20,f6,f39,f1,f2,f13,f3,f30,f28,f26,f25,f16,f14,f12,f11,f31,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f37,f35,f33,f32,f38,f36,f22,f8,f24,f4,f5,f7,f9,f18,f19,f21,f23,f540,f10,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f2773,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f2778,f3757,f3760]) ).

fof(f3784,plain,
    ( sk_c6 = sk_c7
    | identity = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3783,f1]) ).

fof(f3783,plain,
    ( sk_c7 = multiply(identity,sk_c6)
    | identity = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2669,f2778]) ).

fof(f3778,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_6
    | spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3777]) ).

fof(f3777,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6
    | spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f3776,f27,f34,f20,f6,f39,f1,f2,f13,f3,f30,f28,f26,f25,f16,f14,f12,f11,f31,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f37,f35,f33,f32,f38,f36,f22,f8,f24,f4,f5,f7,f9,f18,f19,f21,f23,f540,f10,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f2773,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f2778,f3757,f3760]) ).

fof(f3776,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(sk_c6,sk_c7)
        | sk_c6 != sk_c7
        | sk_c6 != multiply(X4,identity)
        | identity != sk_c6
        | identity != multiply(X6,sk_c7)
        | sk_c6 != inverse(X4)
        | sk_c6 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X6)
        | sk_c7 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3775,f2778]) ).

fof(f3775,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c6 != sk_c7
        | sk_c6 != multiply(X4,identity)
        | identity != sk_c6
        | identity != multiply(X6,sk_c7)
        | sk_c6 != inverse(X4)
        | sk_c6 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X6)
        | sk_c7 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X5,sk_c6)
        | multiply(sk_c6,sk_c7) != sk_c5 )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3774,f563]) ).

fof(f3774,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != multiply(sk_c6,identity)
        | sk_c6 != multiply(X4,identity)
        | identity != sk_c6
        | identity != multiply(X6,sk_c7)
        | sk_c6 != inverse(X4)
        | sk_c6 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X6)
        | sk_c7 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X5,sk_c6)
        | multiply(sk_c6,sk_c7) != sk_c5 )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3773,f2778]) ).

fof(f3773,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c6 != multiply(X4,identity)
        | identity != sk_c6
        | identity != multiply(X6,sk_c7)
        | sk_c6 != inverse(X4)
        | sk_c6 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X6)
        | sk_c7 != multiply(sk_c6,sk_c5)
        | sk_c7 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X5,sk_c6)
        | multiply(sk_c6,sk_c7) != sk_c5 )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3772,f2778]) ).

fof(f3772,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != sk_c6
        | identity != multiply(X6,sk_c7)
        | sk_c6 != inverse(X4)
        | sk_c6 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X6)
        | sk_c6 != multiply(X4,sk_c5)
        | sk_c7 != multiply(sk_c6,sk_c5)
        | sk_c7 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X5,sk_c6)
        | multiply(sk_c6,sk_c7) != sk_c5 )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3771,f988]) ).

fof(f3771,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(X6,sk_c7)
        | sk_c6 != inverse(X4)
        | sk_c6 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X6)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X4,sk_c5)
        | sk_c7 != multiply(sk_c6,sk_c5)
        | sk_c7 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X5,sk_c6)
        | multiply(sk_c6,sk_c7) != sk_c5 )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f973,f2778]) ).

fof(f3768,plain,
    ( ~ spl0_5
    | spl0_6
    | spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3767]) ).

fof(f3767,plain,
    ( $false
    | ~ spl0_5
    | spl0_6
    | spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f3766,f27,f34,f20,f6,f39,f1,f2,f13,f3,f30,f28,f26,f25,f16,f14,f12,f11,f31,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f37,f35,f33,f32,f38,f36,f22,f8,f24,f4,f5,f7,f9,f18,f19,f21,f23,f540,f10,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f2773,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f2778,f3757,f3760]) ).

fof(f3766,plain,
    ( identity = multiply(sk_c6,sk_c7)
    | identity = sk_c7
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3690,f2778]) ).

fof(f3765,plain,
    ( ~ spl0_2
    | spl0_6
    | spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3764]) ).

fof(f3764,plain,
    ( $false
    | ~ spl0_2
    | spl0_6
    | spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f3763,f27,f34,f20,f6,f39,f1,f2,f13,f3,f30,f28,f26,f25,f16,f14,f12,f11,f31,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f37,f35,f33,f32,f38,f36,f22,f8,f24,f4,f5,f7,f9,f18,f19,f21,f23,f540,f10,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f2773,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f2778,f3757,f3760]) ).

fof(f3763,plain,
    ( identity = multiply(sk_c6,sk_c7)
    | identity = sk_c6
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3691,f2778]) ).

fof(f3762,plain,
    ( spl0_6
    | spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3761]) ).

fof(f3761,plain,
    ( $false
    | spl0_6
    | spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f27,f34,f20,f6,f39,f1,f2,f13,f3,f30,f28,f26,f25,f16,f14,f12,f11,f31,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f37,f35,f33,f32,f38,f36,f22,f8,f24,f4,f5,f7,f9,f18,f19,f21,f23,f540,f10,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f2773,f1660,f3236,f3214,f3220,f3286,f3288,f3225,f3289,f3290,f3292,f3293,f3231,f3232,f3233,f2082,f3345,f3347,f3329,f3401,f3403,f3334,f3404,f3406,f3407,f3409,f3410,f3341,f3342,f3343,f2778,f3757,f3760]) ).

fof(f3756,plain,
    ( ~ spl0_2
    | spl0_6
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3755]) ).

fof(f3755,plain,
    ( $false
    | ~ spl0_2
    | spl0_6
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f3754,f2778]) ).

fof(f3754,plain,
    ( identity != sk_c5
    | ~ spl0_2
    | spl0_6
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3753,f1]) ).

fof(f3753,plain,
    ( sk_c5 != multiply(identity,identity)
    | ~ spl0_2
    | spl0_6
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3695,f2823]) ).

fof(f2823,plain,
    ( identity = sk_c6
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2774,f2788]) ).

fof(f2774,plain,
    ( sk_c6 = sk_c7
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f2772]) ).

fof(f3695,plain,
    ( sk_c5 != multiply(sk_c6,sk_c6)
    | spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1064,f2774]) ).

fof(f3660,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3659]) ).

fof(f3659,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9 ),
    inference(subsumption_resolution,[],[f3658,f2777]) ).

fof(f3658,plain,
    ( identity = sk_c5
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f3646,f540]) ).

fof(f3646,plain,
    ( sk_c5 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(superposition,[],[f47,f3644]) ).

fof(f3644,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(duplicate_literal_removal,[],[f3643]) ).

fof(f3643,plain,
    ( identity = sk_c7
    | identity = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2669,f3425]) ).

fof(f3425,plain,
    ( identity = multiply(sk_c5,sk_c6)
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(superposition,[],[f983,f2774]) ).

fof(f3412,plain,
    ( spl0_3
    | spl0_3
    | spl0_3
    | spl0_3
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f3175,f2776,f2772,f1063,f45,f41,f204,f204,f204,f204]) ).

fof(f204,plain,
    ( spl0_3
  <=> ! [X6] :
        ( identity != inverse(X6)
        | identity != multiply(X6,identity) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f3175,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(X5,identity)
        | identity != multiply(X3,identity)
        | identity != multiply(X4,identity)
        | identity != multiply(X6,identity)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X4)
        | identity != inverse(X5) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3174,f2788]) ).

fof(f3174,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(X3,identity)
        | identity != multiply(X4,identity)
        | identity != multiply(X6,identity)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X4)
        | identity != inverse(X5)
        | sk_c7 != multiply(X5,identity) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3173,f2788]) ).

fof(f3173,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(X4,identity)
        | identity != multiply(X6,identity)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X4)
        | identity != inverse(X5)
        | sk_c7 != multiply(X3,identity)
        | sk_c7 != multiply(X5,identity) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f3172,f2788]) ).

fof(f3172,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != sk_c7
        | identity != multiply(X4,identity)
        | identity != multiply(X6,identity)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X4)
        | identity != inverse(X5)
        | sk_c7 != multiply(X3,identity)
        | sk_c7 != multiply(X5,identity) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3171,f1]) ).

fof(f3171,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != multiply(identity,identity)
        | identity != multiply(X4,identity)
        | identity != multiply(X6,identity)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X4)
        | identity != inverse(X5)
        | sk_c7 != multiply(X3,identity)
        | sk_c7 != multiply(X5,identity) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3170,f2778]) ).

fof(f3170,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(X4,identity)
        | identity != multiply(X6,identity)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X4)
        | identity != inverse(X5)
        | sk_c7 != multiply(identity,sk_c5)
        | sk_c7 != multiply(X3,identity)
        | sk_c7 != multiply(X5,identity) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3169,f2778]) ).

fof(f3169,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(X6,identity)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X4)
        | identity != inverse(X5)
        | identity != multiply(X4,sk_c5)
        | sk_c7 != multiply(identity,sk_c5)
        | sk_c7 != multiply(X3,identity)
        | sk_c7 != multiply(X5,identity) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3168,f2778]) ).

fof(f3168,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c5 != multiply(X6,identity)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X4)
        | identity != inverse(X5)
        | identity != multiply(X4,sk_c5)
        | sk_c7 != multiply(identity,sk_c5)
        | sk_c7 != multiply(X3,identity)
        | sk_c7 != multiply(X5,identity) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3167,f2788]) ).

fof(f3167,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X4)
        | identity != inverse(X5)
        | sk_c5 != multiply(X6,sk_c7)
        | identity != multiply(X4,sk_c5)
        | sk_c7 != multiply(identity,sk_c5)
        | sk_c7 != multiply(X3,identity)
        | sk_c7 != multiply(X5,identity) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3166,f2788]) ).

fof(f3166,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != inverse(X3)
        | identity != inverse(X4)
        | identity != inverse(X5)
        | sk_c7 != inverse(X6)
        | sk_c5 != multiply(X6,sk_c7)
        | identity != multiply(X4,sk_c5)
        | sk_c7 != multiply(identity,sk_c5)
        | sk_c7 != multiply(X3,identity)
        | sk_c7 != multiply(X5,identity) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3165,f2788]) ).

fof(f3165,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != inverse(X4)
        | identity != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X6)
        | sk_c5 != multiply(X6,sk_c7)
        | identity != multiply(X4,sk_c5)
        | sk_c7 != multiply(identity,sk_c5)
        | sk_c7 != multiply(X3,identity)
        | sk_c7 != multiply(X5,identity) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f2643,f2823]) ).

fof(f2643,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != sk_c6
        | identity != inverse(X4)
        | identity != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X6)
        | sk_c5 != multiply(X6,sk_c7)
        | identity != multiply(X4,sk_c5)
        | sk_c7 != multiply(identity,sk_c5)
        | sk_c7 != multiply(X3,identity)
        | sk_c7 != multiply(X5,identity) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(inner_rewriting,[],[f2642]) ).

fof(f2642,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != sk_c6
        | sk_c6 != inverse(X4)
        | sk_c6 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X6)
        | sk_c5 != multiply(X6,sk_c7)
        | sk_c6 != multiply(X4,sk_c5)
        | sk_c7 != multiply(sk_c6,sk_c5)
        | sk_c7 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1780,f988]) ).

fof(f1780,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c6 != inverse(X4)
        | sk_c6 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X6)
        | sk_c5 != multiply(X6,sk_c7)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X4,sk_c5)
        | sk_c7 != multiply(sk_c6,sk_c5)
        | sk_c7 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f973,f1065]) ).

fof(f2822,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2821]) ).

fof(f2821,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f27,f34,f20,f6,f39,f1,f2,f13,f49,f3,f71,f74,f30,f28,f26,f25,f16,f14,f12,f11,f31,f17,f15,f29,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f705,f680,f564,f724,f734,f725,f721,f670,f666,f767,f588,f768,f580,f543,f438,f37,f35,f33,f32,f38,f36,f22,f8,f24,f4,f5,f7,f9,f18,f19,f21,f23,f47,f985,f986,f991,f990,f620,f992,f993,f1003,f997,f998,f983,f1007,f988,f1019,f540,f984,f10,f1065,f989,f669,f1430,f1458,f1566,f1610,f1613,f1608,f1618,f1628,f1647,f1778,f1658,f1660,f1661,f1702,f1807,f1817,f1848,f1849,f1850,f1851,f1836,f1982,f1985,f1986,f1987,f1988,f1612,f2064,f2068,f2080,f2081,f2082,f2083,f2085,f2086,f1706,f2176,f2185,f2186,f2208,f2212,f2214,f2132,f2337,f2343,f2347,f2349,f1657,f2406,f2418,f2436,f2447,f2455,f2425,f2422,f2413,f2410,f2323,f2320,f2183,f2182,f2075,f2074,f2050,f2047,f1971,f1968,f1843,f1840,f1814,f1813,f1652,f1651,f1530,f1072,f2773,f2778,f2781,f2782,f2783,f2789,f2788,f2817,f2802]) ).

fof(f2817,plain,
    ( identity = sk_c6
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2816,f2778]) ).

fof(f2816,plain,
    ( sk_c6 = sk_c5
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2799,f563]) ).

fof(f2799,plain,
    ( sk_c5 = multiply(sk_c6,identity)
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(superposition,[],[f1065,f2788]) ).

fof(f2789,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2784,f1]) ).

fof(f2784,plain,
    ( ! [X0] : multiply(sk_c7,multiply(identity,X0)) = X0
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(superposition,[],[f989,f2778]) ).

fof(f2783,plain,
    ( identity = multiply(sk_c7,identity)
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(superposition,[],[f988,f2778]) ).

fof(f2782,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c7,X0)) = X0
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(superposition,[],[f984,f2778]) ).

fof(f2781,plain,
    ( identity = multiply(identity,sk_c7)
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(superposition,[],[f983,f2778]) ).

fof(f1072,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,multiply(sk_c7,X0))
    | ~ spl0_6 ),
    inference(superposition,[],[f3,f1065]) ).

fof(f2779,plain,
    ( spl0_8
    | spl0_9
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f2734,f1067,f1063,f230,f226,f45,f41,f2776,f2772]) ).

fof(f2734,plain,
    ( identity = sk_c5
    | sk_c6 = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f2733,f983]) ).

fof(f2733,plain,
    ( sk_c5 = multiply(sk_c5,sk_c7)
    | sk_c6 = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f2665,f2689]) ).

fof(f2665,plain,
    ( sk_c6 = sk_c7
    | sk_c5 = multiply(sk_c4,sk_c7)
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f971,f1074]) ).

fof(f1074,plain,
    ( sk_c7 = multiply(sk_c3,sk_c5)
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1073,f875]) ).

fof(f1073,plain,
    ( sk_c7 = multiply(sk_c2,sk_c5)
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1071,f622]) ).

fof(f1071,plain,
    ( sk_c7 = multiply(inverse(sk_c6),sk_c5)
    | ~ spl0_6 ),
    inference(superposition,[],[f68,f1065]) ).

fof(f971,plain,
    ( sk_c6 = multiply(sk_c3,sk_c5)
    | sk_c5 = multiply(sk_c4,sk_c7)
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f37,f875]) ).

fof(f2596,plain,
    ~ spl0_3,
    inference(avatar_contradiction_clause,[],[f2595]) ).

fof(f2595,plain,
    ( $false
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f2594,f577]) ).

fof(f2594,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f2586,f577]) ).

fof(f2586,plain,
    ( identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f2580]) ).

fof(f2580,plain,
    ( identity != identity
    | identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_3 ),
    inference(superposition,[],[f205,f524]) ).

fof(f205,plain,
    ( ! [X6] :
        ( identity != multiply(X6,identity)
        | identity != inverse(X6) )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f204]) ).

fof(f2593,plain,
    ~ spl0_3,
    inference(avatar_contradiction_clause,[],[f2592]) ).

fof(f2592,plain,
    ( $false
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f2587,f577]) ).

fof(f2587,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f2579]) ).

fof(f2579,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_3 ),
    inference(superposition,[],[f205,f2]) ).

fof(f2591,plain,
    ~ spl0_3,
    inference(avatar_contradiction_clause,[],[f2590]) ).

fof(f2590,plain,
    ( $false
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f2588,f540]) ).

fof(f2588,plain,
    ( identity != inverse(identity)
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f2578]) ).

fof(f2578,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl0_3 ),
    inference(superposition,[],[f205,f1]) ).

fof(f2575,plain,
    ( spl0_3
    | spl0_3
    | spl0_3
    | spl0_3
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | spl0_7 ),
    inference(avatar_split_clause,[],[f1802,f1067,f1063,f230,f226,f45,f41,f204,f204,f204,f204]) ).

fof(f1802,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(X5,identity)
        | identity != multiply(X3,identity)
        | identity != multiply(X4,identity)
        | identity != multiply(X6,identity)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X4) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | spl0_7 ),
    inference(forward_demodulation,[],[f1801,f1197]) ).

fof(f1197,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | spl0_7 ),
    inference(superposition,[],[f1188,f1118]) ).

fof(f1118,plain,
    ( sk_c6 = sk_c7
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | spl0_7 ),
    inference(superposition,[],[f1117,f1074]) ).

fof(f1117,plain,
    ( sk_c6 = multiply(sk_c3,sk_c5)
    | ~ spl0_4
    | ~ spl0_5
    | spl0_7 ),
    inference(subsumption_resolution,[],[f967,f1068]) ).

fof(f967,plain,
    ( sk_c6 = multiply(sk_c3,sk_c5)
    | sk_c7 = inverse(sk_c4)
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f38,f875]) ).

fof(f1188,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | spl0_7 ),
    inference(superposition,[],[f1128,f1104]) ).

fof(f1128,plain,
    ( identity = multiply(sk_c5,sk_c6)
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | spl0_7 ),
    inference(superposition,[],[f983,f1118]) ).

fof(f1801,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c6 != multiply(X5,identity)
        | identity != multiply(X3,identity)
        | identity != multiply(X4,identity)
        | identity != multiply(X6,identity)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X4) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | spl0_7 ),
    inference(forward_demodulation,[],[f1800,f1118]) ).

fof(f1800,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != multiply(X5,identity)
        | identity != multiply(X3,identity)
        | identity != multiply(X4,identity)
        | identity != multiply(X6,identity)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X4) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | spl0_7 ),
    inference(forward_demodulation,[],[f1799,f1197]) ).

fof(f1799,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(X3,identity)
        | identity != multiply(X4,identity)
        | identity != multiply(X6,identity)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | spl0_7 ),
    inference(forward_demodulation,[],[f1798,f1197]) ).

fof(f1798,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c6 != multiply(X3,identity)
        | identity != multiply(X4,identity)
        | identity != multiply(X6,identity)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | spl0_7 ),
    inference(forward_demodulation,[],[f1797,f1118]) ).

fof(f1797,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != multiply(X3,identity)
        | identity != multiply(X4,identity)
        | identity != multiply(X6,identity)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | spl0_7 ),
    inference(forward_demodulation,[],[f1796,f1197]) ).

fof(f1796,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(X4,identity)
        | identity != multiply(X6,identity)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | sk_c7 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | spl0_7 ),
    inference(subsumption_resolution,[],[f1795,f1118]) ).

fof(f1795,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c6 != sk_c7
        | identity != multiply(X4,identity)
        | identity != multiply(X6,identity)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | sk_c7 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | spl0_7 ),
    inference(forward_demodulation,[],[f1794,f563]) ).

fof(f1794,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != multiply(sk_c6,identity)
        | identity != multiply(X4,identity)
        | identity != multiply(X6,identity)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | sk_c7 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | spl0_7 ),
    inference(forward_demodulation,[],[f1793,f1209]) ).

fof(f1209,plain,
    ( identity = sk_c5
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | spl0_7 ),
    inference(forward_demodulation,[],[f1198,f540]) ).

fof(f1198,plain,
    ( sk_c5 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | spl0_7 ),
    inference(superposition,[],[f47,f1188]) ).

fof(f1793,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(X4,identity)
        | identity != multiply(X6,identity)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | sk_c7 != multiply(sk_c6,sk_c5)
        | sk_c7 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | spl0_7 ),
    inference(forward_demodulation,[],[f1792,f1197]) ).

fof(f1792,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c6 != multiply(X4,identity)
        | identity != multiply(X6,identity)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | sk_c7 != multiply(sk_c6,sk_c5)
        | sk_c7 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | spl0_7 ),
    inference(forward_demodulation,[],[f1791,f1209]) ).

fof(f1791,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(X6,identity)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | sk_c6 != multiply(X4,sk_c5)
        | sk_c7 != multiply(sk_c6,sk_c5)
        | sk_c7 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | spl0_7 ),
    inference(subsumption_resolution,[],[f1790,f1197]) ).

fof(f1790,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != sk_c6
        | identity != multiply(X6,identity)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | sk_c6 != multiply(X4,sk_c5)
        | sk_c7 != multiply(sk_c6,sk_c5)
        | sk_c7 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | spl0_7 ),
    inference(forward_demodulation,[],[f1789,f988]) ).

fof(f1789,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(X6,identity)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X4,sk_c5)
        | sk_c7 != multiply(sk_c6,sk_c5)
        | sk_c7 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | spl0_7 ),
    inference(forward_demodulation,[],[f1788,f1209]) ).

fof(f1788,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c5 != multiply(X6,identity)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X4,sk_c5)
        | sk_c7 != multiply(sk_c6,sk_c5)
        | sk_c7 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | spl0_7 ),
    inference(forward_demodulation,[],[f1787,f1197]) ).

fof(f1787,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c5 != multiply(X6,sk_c6)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X4,sk_c5)
        | sk_c7 != multiply(sk_c6,sk_c5)
        | sk_c7 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | spl0_7 ),
    inference(forward_demodulation,[],[f1786,f1118]) ).

fof(f1786,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | sk_c5 != multiply(X6,sk_c7)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X4,sk_c5)
        | sk_c7 != multiply(sk_c6,sk_c5)
        | sk_c7 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | spl0_7 ),
    inference(forward_demodulation,[],[f1785,f1197]) ).

fof(f1785,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c6 != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | sk_c5 != multiply(X6,sk_c7)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X4,sk_c5)
        | sk_c7 != multiply(sk_c6,sk_c5)
        | sk_c7 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | spl0_7 ),
    inference(forward_demodulation,[],[f1784,f1118]) ).

fof(f1784,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | sk_c7 != inverse(X6)
        | sk_c5 != multiply(X6,sk_c7)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X4,sk_c5)
        | sk_c7 != multiply(sk_c6,sk_c5)
        | sk_c7 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | spl0_7 ),
    inference(forward_demodulation,[],[f1783,f1197]) ).

fof(f1783,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c6 != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | sk_c7 != inverse(X6)
        | sk_c5 != multiply(X6,sk_c7)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X4,sk_c5)
        | sk_c7 != multiply(sk_c6,sk_c5)
        | sk_c7 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | spl0_7 ),
    inference(forward_demodulation,[],[f1782,f1118]) ).

fof(f1782,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != inverse(X5)
        | identity != inverse(X4)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X6)
        | sk_c5 != multiply(X6,sk_c7)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X4,sk_c5)
        | sk_c7 != multiply(sk_c6,sk_c5)
        | sk_c7 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | spl0_7 ),
    inference(forward_demodulation,[],[f1781,f1197]) ).

fof(f1781,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != inverse(X4)
        | sk_c6 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X6)
        | sk_c5 != multiply(X6,sk_c7)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X4,sk_c5)
        | sk_c7 != multiply(sk_c6,sk_c5)
        | sk_c7 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | spl0_7 ),
    inference(forward_demodulation,[],[f1780,f1197]) ).

fof(f1070,plain,
    ( spl0_6
    | spl0_7 ),
    inference(avatar_split_clause,[],[f10,f1067,f1063]) ).

fof(f966,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(avatar_contradiction_clause,[],[f965]) ).

fof(f965,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(global_subsumption,[],[f27,f34,f20,f6,f39,f1,f2,f13,f3,f30,f28,f26,f25,f16,f14,f12,f11,f31,f17,f15,f43,f207,f210,f29,f228,f234,f236,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f669,f705,f680,f564,f724,f734,f725,f721,f713,f712,f670,f666,f665,f664,f767,f588,f768,f580,f560,f559,f543,f540,f523,f522,f460,f459,f448,f446,f438,f46,f621,f776,f777,f785,f775,f622,f786,f787,f795,f845,f37,f846,f35,f847,f33,f848,f32,f849,f23,f850,f21,f851,f19,f852,f18,f853,f9,f854,f7,f855,f5,f856,f4,f857,f38,f858,f36,f859,f24,f860,f22,f861,f10,f862,f8,f863,f232,f865,f872,f873,f874,f869,f870,f871,f876,f877,f878,f886,f882,f883,f875,f888,f889,f843,f893,f891,f844,f894,f897,f896,f899,f900,f901,f902,f903,f904,f898,f906,f864,f912,f913,f915,f916,f918,f919,f925,f926,f929,f921,f914,f931,f907,f935,f933,f939,f941,f938,f943,f942,f954,f955,f956,f961,f949,f950,f962,f964]) ).

fof(f964,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f963,f942]) ).

fof(f963,plain,
    ( sk_c6 != inverse(identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f952,f938]) ).

fof(f952,plain,
    ( sk_c5 != inverse(identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(superposition,[],[f914,f942]) ).

fof(f962,plain,
    ( identity = sk_c5
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f951,f1]) ).

fof(f951,plain,
    ( sk_c5 = multiply(identity,identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(superposition,[],[f907,f942]) ).

fof(f950,plain,
    ( sk_c3 = inverse(identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(superposition,[],[f871,f942]) ).

fof(f949,plain,
    ( identity = multiply(identity,sk_c3)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(superposition,[],[f864,f942]) ).

fof(f961,plain,
    ( identity = multiply(sk_c3,identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f960,f942]) ).

fof(f960,plain,
    ( sk_c6 = multiply(sk_c3,identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f959,f913]) ).

fof(f959,plain,
    ( sk_c7 = multiply(sk_c3,identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f948,f919]) ).

fof(f948,plain,
    ( sk_c7 = multiply(sk_c1,identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(superposition,[],[f844,f942]) ).

fof(f956,plain,
    ( sk_c3 = inverse(identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f946,f875]) ).

fof(f946,plain,
    ( sk_c2 = inverse(identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(superposition,[],[f622,f942]) ).

fof(f955,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c3,X0)) = X0
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f945,f875]) ).

fof(f945,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c2,X0)) = X0
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(superposition,[],[f236,f942]) ).

fof(f954,plain,
    ( identity = multiply(identity,sk_c3)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f944,f875]) ).

fof(f944,plain,
    ( identity = multiply(identity,sk_c2)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(superposition,[],[f234,f942]) ).

fof(f942,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f940,f2]) ).

fof(f940,plain,
    ( sk_c6 = multiply(inverse(sk_c6),sk_c6)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(superposition,[],[f68,f933]) ).

fof(f943,plain,
    ( sk_c6 = multiply(sk_c3,sk_c6)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(superposition,[],[f898,f938]) ).

fof(f938,plain,
    ( sk_c6 = sk_c5
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(superposition,[],[f933,f907]) ).

fof(f941,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c6,multiply(sk_c6,X0))
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(superposition,[],[f3,f933]) ).

fof(f939,plain,
    ( sk_c6 = sk_c5
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(superposition,[],[f907,f933]) ).

fof(f933,plain,
    ( sk_c6 = multiply(sk_c6,sk_c6)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f897,f913]) ).

fof(f935,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,multiply(sk_c6,X0))
    | spl0_2
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(superposition,[],[f3,f907]) ).

fof(f907,plain,
    ( sk_c5 = multiply(sk_c6,sk_c6)
    | spl0_2
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f905,f232]) ).

fof(f905,plain,
    ( sk_c5 = multiply(inverse(sk_c3),sk_c6)
    | spl0_2
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(superposition,[],[f68,f898]) ).

fof(f931,plain,
    ( sk_c5 != sk_c2
    | spl0_2
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(superposition,[],[f914,f622]) ).

fof(f914,plain,
    ( sk_c5 != inverse(sk_c6)
    | spl0_2
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(superposition,[],[f46,f913]) ).

fof(f921,plain,
    ( sk_c5 != sk_c3
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(superposition,[],[f775,f919]) ).

fof(f929,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,multiply(sk_c6,X0))
    | spl0_2
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f891,f913]) ).

fof(f926,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c3,X0)) = X0
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f922,f913]) ).

fof(f922,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(superposition,[],[f210,f919]) ).

fof(f925,plain,
    ( sk_c6 = multiply(sk_c3,sk_c6)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f920,f913]) ).

fof(f920,plain,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(superposition,[],[f844,f919]) ).

fof(f919,plain,
    ( sk_c3 = sk_c1
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f917,f871]) ).

fof(f917,plain,
    ( sk_c1 = inverse(sk_c6)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(superposition,[],[f621,f913]) ).

fof(f918,plain,
    ( sk_c5 = multiply(sk_c6,sk_c6)
    | spl0_2
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(superposition,[],[f843,f913]) ).

fof(f916,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c1,X0)) = X0
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(superposition,[],[f210,f913]) ).

fof(f915,plain,
    ( identity = multiply(sk_c6,sk_c1)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(superposition,[],[f207,f913]) ).

fof(f913,plain,
    ( sk_c6 = sk_c7
    | spl0_2
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f893,f898]) ).

fof(f912,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c3,X0)) = X0
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f909,f1]) ).

fof(f909,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c3,X0))
    | ~ spl0_5 ),
    inference(superposition,[],[f3,f864]) ).

fof(f864,plain,
    ( identity = multiply(sk_c6,sk_c3)
    | ~ spl0_5 ),
    inference(superposition,[],[f2,f232]) ).

fof(f906,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c3,multiply(sk_c5,X0))
    | spl0_2
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(superposition,[],[f3,f898]) ).

fof(f898,plain,
    ( sk_c6 = multiply(sk_c3,sk_c5)
    | spl0_2
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f845,f875]) ).

fof(f904,plain,
    ( sk_c6 = multiply(sk_c3,sk_c5)
    | spl0_2
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f859,f875]) ).

fof(f903,plain,
    ( sk_c6 = multiply(sk_c3,sk_c5)
    | spl0_2
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f858,f875]) ).

fof(f902,plain,
    ( sk_c6 = multiply(sk_c3,sk_c5)
    | spl0_2
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f849,f875]) ).

fof(f901,plain,
    ( sk_c6 = multiply(sk_c3,sk_c5)
    | spl0_2
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f848,f875]) ).

fof(f900,plain,
    ( sk_c6 = multiply(sk_c3,sk_c5)
    | spl0_2
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f847,f875]) ).

fof(f899,plain,
    ( sk_c6 = multiply(sk_c3,sk_c5)
    | spl0_2
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f846,f875]) ).

fof(f897,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | spl0_2 ),
    inference(forward_demodulation,[],[f895,f43]) ).

fof(f895,plain,
    ( sk_c6 = multiply(inverse(sk_c1),sk_c7)
    | spl0_2 ),
    inference(superposition,[],[f68,f844]) ).

fof(f894,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | spl0_2 ),
    inference(superposition,[],[f210,f844]) ).

fof(f893,plain,
    ( sk_c7 = multiply(sk_c3,sk_c5)
    | spl0_2
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f892,f875]) ).

fof(f892,plain,
    ( sk_c7 = multiply(sk_c2,sk_c5)
    | spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f890,f622]) ).

fof(f890,plain,
    ( sk_c7 = multiply(inverse(sk_c6),sk_c5)
    | spl0_2 ),
    inference(superposition,[],[f68,f843]) ).

fof(f889,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c3,X0)) = X0
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(superposition,[],[f236,f875]) ).

fof(f888,plain,
    ( identity = multiply(sk_c6,sk_c3)
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(superposition,[],[f234,f875]) ).

fof(f883,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c3,X0)) = X0
    | ~ spl0_5 ),
    inference(superposition,[],[f564,f871]) ).

fof(f882,plain,
    ( identity = multiply(sk_c6,sk_c3)
    | ~ spl0_5 ),
    inference(superposition,[],[f562,f871]) ).

fof(f886,plain,
    ( identity = multiply(sk_c3,sk_c6)
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f881,f577]) ).

fof(f881,plain,
    ( identity = multiply(inverse(inverse(sk_c3)),sk_c6)
    | ~ spl0_5 ),
    inference(superposition,[],[f524,f871]) ).

fof(f878,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c6,X0)) = X0
    | ~ spl0_5 ),
    inference(superposition,[],[f68,f871]) ).

fof(f877,plain,
    ( identity = multiply(sk_c3,sk_c6)
    | ~ spl0_5 ),
    inference(superposition,[],[f2,f871]) ).

fof(f876,plain,
    ( sk_c3 = sk_c2
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(superposition,[],[f622,f871]) ).

fof(f870,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c6,X0)) = X0
    | ~ spl0_5 ),
    inference(superposition,[],[f564,f232]) ).

fof(f874,plain,
    ( identity = multiply(sk_c6,sk_c3)
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f868,f577]) ).

fof(f868,plain,
    ( identity = multiply(inverse(inverse(sk_c6)),sk_c3)
    | ~ spl0_5 ),
    inference(superposition,[],[f524,f232]) ).

fof(f873,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(sk_c2,X0)
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f867,f622]) ).

fof(f867,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(sk_c6),X0)
    | ~ spl0_5 ),
    inference(superposition,[],[f450,f232]) ).

fof(f872,plain,
    ( sk_c3 = multiply(sk_c2,identity)
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f866,f622]) ).

fof(f866,plain,
    ( sk_c3 = multiply(inverse(sk_c6),identity)
    | ~ spl0_5 ),
    inference(superposition,[],[f439,f232]) ).

fof(f865,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c3,X0)) = X0
    | ~ spl0_5 ),
    inference(superposition,[],[f68,f232]) ).

fof(f795,plain,
    ( identity = multiply(sk_c2,sk_c6)
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f790,f577]) ).

fof(f790,plain,
    ( identity = multiply(inverse(inverse(sk_c2)),sk_c6)
    | ~ spl0_4 ),
    inference(superposition,[],[f524,f622]) ).

fof(f787,plain,
    ( ! [X0] : multiply(sk_c2,multiply(sk_c6,X0)) = X0
    | ~ spl0_4 ),
    inference(superposition,[],[f68,f622]) ).

fof(f786,plain,
    ( identity = multiply(sk_c2,sk_c6)
    | ~ spl0_4 ),
    inference(superposition,[],[f2,f622]) ).

fof(f448,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(sk_c6),X0)
    | ~ spl0_4 ),
    inference(superposition,[],[f68,f236]) ).

fof(f460,plain,
    ( sk_c2 = multiply(inverse(sk_c6),identity)
    | ~ spl0_4 ),
    inference(superposition,[],[f68,f234]) ).

fof(f523,plain,
    ( sk_c2 = multiply(inverse(sk_c6),identity)
    | ~ spl0_4 ),
    inference(superposition,[],[f439,f228]) ).

fof(f560,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(sk_c6),X0)
    | ~ spl0_4 ),
    inference(superposition,[],[f450,f228]) ).

fof(f665,plain,
    ( identity = multiply(sk_c2,sk_c6)
    | ~ spl0_4 ),
    inference(superposition,[],[f562,f228]) ).

fof(f713,plain,
    ( ! [X0] : multiply(sk_c2,multiply(sk_c6,X0)) = X0
    | ~ spl0_4 ),
    inference(superposition,[],[f564,f228]) ).

fof(f236,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c2,X0)) = X0
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f235,f1]) ).

fof(f235,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c2,X0))
    | ~ spl0_4 ),
    inference(superposition,[],[f3,f234]) ).

fof(f234,plain,
    ( identity = multiply(sk_c6,sk_c2)
    | ~ spl0_4 ),
    inference(superposition,[],[f2,f228]) ).

fof(f842,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(avatar_contradiction_clause,[],[f841]) ).

fof(f841,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(global_subsumption,[],[f27,f34,f20,f6,f39,f1,f2,f13,f3,f37,f35,f33,f32,f23,f21,f19,f18,f9,f7,f5,f4,f38,f36,f30,f28,f26,f25,f24,f22,f16,f14,f12,f11,f10,f8,f31,f17,f15,f43,f207,f210,f29,f228,f231,f234,f236,f239,f241,f244,f250,f251,f240,f258,f68,f441,f439,f533,f524,f541,f554,f450,f566,f567,f569,f570,f563,f604,f585,f616,f577,f628,f629,f562,f669,f705,f680,f564,f724,f734,f726,f725,f721,f713,f712,f765,f670,f666,f665,f664,f767,f588,f768,f580,f560,f559,f543,f540,f523,f522,f460,f459,f457,f456,f452,f449,f448,f446,f438,f253,f247,f252,f245,f255,f774,f46,f621,f776,f777,f785,f775,f622,f786,f787,f795,f773,f796,f797,f263,f799,f800,f801,f802,f803,f810,f808,f809,f812,f814,f811,f816,f817,f829,f822,f830,f836,f838,f840]) ).

fof(f840,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f839,f811]) ).

fof(f839,plain,
    ( sk_c6 != inverse(identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f801,f809]) ).

fof(f838,plain,
    ( identity = multiply(identity,sk_c1)
    | ~ spl0_1
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f834,f811]) ).

fof(f834,plain,
    ( sk_c6 = multiply(identity,sk_c1)
    | ~ spl0_1
    | ~ spl0_4
    | spl0_5 ),
    inference(superposition,[],[f773,f830]) ).

fof(f836,plain,
    ( identity = multiply(sk_c2,identity)
    | ~ spl0_1
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f832,f811]) ).

fof(f832,plain,
    ( sk_c6 = multiply(sk_c2,identity)
    | ~ spl0_1
    | ~ spl0_4
    | spl0_5 ),
    inference(superposition,[],[f250,f830]) ).

fof(f830,plain,
    ( identity = sk_c5
    | ~ spl0_1
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f821,f1]) ).

fof(f821,plain,
    ( sk_c5 = multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_4
    | spl0_5 ),
    inference(superposition,[],[f251,f811]) ).

fof(f822,plain,
    ( sk_c2 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_4
    | spl0_5 ),
    inference(superposition,[],[f622,f811]) ).

fof(f829,plain,
    ( identity = multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f820,f800]) ).

fof(f820,plain,
    ( sk_c7 = multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_4
    | spl0_5 ),
    inference(superposition,[],[f241,f811]) ).

fof(f817,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c2,X0)) = X0
    | ~ spl0_1
    | ~ spl0_4
    | spl0_5 ),
    inference(superposition,[],[f236,f811]) ).

fof(f816,plain,
    ( identity = multiply(identity,sk_c2)
    | ~ spl0_1
    | ~ spl0_4
    | spl0_5 ),
    inference(superposition,[],[f234,f811]) ).

fof(f811,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f806,f1]) ).

fof(f806,plain,
    ( sk_c6 = multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_4
    | spl0_5 ),
    inference(superposition,[],[f244,f800]) ).

fof(f814,plain,
    ( sk_c6 = multiply(sk_c6,sk_c1)
    | ~ spl0_1
    | ~ spl0_4
    | spl0_5 ),
    inference(superposition,[],[f773,f809]) ).

fof(f812,plain,
    ( sk_c6 = multiply(sk_c2,sk_c6)
    | ~ spl0_1
    | ~ spl0_4
    | spl0_5 ),
    inference(superposition,[],[f250,f809]) ).

fof(f809,plain,
    ( sk_c6 = sk_c5
    | ~ spl0_1
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f804,f563]) ).

fof(f804,plain,
    ( sk_c5 = multiply(sk_c6,identity)
    | ~ spl0_1
    | ~ spl0_4
    | spl0_5 ),
    inference(superposition,[],[f239,f800]) ).

fof(f808,plain,
    ( sk_c1 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_4
    | spl0_5 ),
    inference(superposition,[],[f621,f800]) ).

fof(f810,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c5,X0)
    | ~ spl0_1
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f805,f1]) ).

fof(f805,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,multiply(identity,X0))
    | ~ spl0_1
    | ~ spl0_4
    | spl0_5 ),
    inference(superposition,[],[f240,f800]) ).

fof(f803,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c1,X0)) = X0
    | ~ spl0_1
    | ~ spl0_4
    | spl0_5 ),
    inference(superposition,[],[f210,f800]) ).

fof(f802,plain,
    ( identity = multiply(identity,sk_c1)
    | ~ spl0_1
    | ~ spl0_4
    | spl0_5 ),
    inference(superposition,[],[f207,f800]) ).

fof(f801,plain,
    ( sk_c5 != inverse(identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(superposition,[],[f46,f800]) ).

fof(f800,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f798,f2]) ).

fof(f798,plain,
    ( sk_c7 = multiply(inverse(sk_c5),sk_c5)
    | ~ spl0_1
    | ~ spl0_4
    | spl0_5 ),
    inference(superposition,[],[f68,f263]) ).

fof(f799,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c7,X0)) = multiply(sk_c5,X0)
    | ~ spl0_1
    | ~ spl0_4
    | spl0_5 ),
    inference(superposition,[],[f3,f263]) ).

fof(f263,plain,
    ( sk_c5 = multiply(sk_c5,sk_c7)
    | ~ spl0_1
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f257,f251]) ).

fof(f257,plain,
    ( multiply(sk_c5,sk_c7) = multiply(sk_c6,sk_c6)
    | ~ spl0_1
    | spl0_5 ),
    inference(superposition,[],[f240,f244]) ).

fof(f797,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c5,multiply(sk_c1,X0))
    | ~ spl0_1
    | spl0_5 ),
    inference(superposition,[],[f3,f773]) ).

fof(f796,plain,
    ( sk_c1 = multiply(inverse(sk_c5),sk_c6)
    | ~ spl0_1
    | spl0_5 ),
    inference(superposition,[],[f68,f773]) ).

fof(f773,plain,
    ( sk_c6 = multiply(sk_c5,sk_c1)
    | ~ spl0_1
    | spl0_5 ),
    inference(forward_demodulation,[],[f258,f563]) ).

fof(f774,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c5 != inverse(sk_c7)
        | sk_c6 != inverse(X4)
        | sk_c6 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X6)
        | sk_c5 != multiply(X6,sk_c7)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X4,sk_c5)
        | sk_c7 != multiply(sk_c6,sk_c5)
        | sk_c7 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X5,sk_c6) )
    | spl0_5 ),
    inference(subsumption_resolution,[],[f39,f239]) ).

fof(f255,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c5,multiply(sk_c1,X0))
    | ~ spl0_1
    | spl0_5 ),
    inference(superposition,[],[f240,f210]) ).

fof(f245,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c1,multiply(sk_c6,X0))
    | spl0_5 ),
    inference(superposition,[],[f3,f241]) ).

fof(f252,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c2,multiply(sk_c5,X0))
    | spl0_5 ),
    inference(superposition,[],[f3,f250]) ).

fof(f247,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c7,X0))
    | ~ spl0_1
    | spl0_5 ),
    inference(superposition,[],[f3,f244]) ).

fof(f253,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,multiply(sk_c6,X0))
    | ~ spl0_4
    | spl0_5 ),
    inference(superposition,[],[f3,f251]) ).

fof(f449,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(inverse(sk_c6),multiply(sk_c5,X0))
    | spl0_5 ),
    inference(superposition,[],[f68,f240]) ).

fof(f452,plain,
    ( sk_c6 = multiply(inverse(sk_c6),sk_c5)
    | ~ spl0_4
    | spl0_5 ),
    inference(superposition,[],[f68,f251]) ).

fof(f456,plain,
    ( sk_c7 = multiply(inverse(sk_c6),sk_c5)
    | spl0_5 ),
    inference(superposition,[],[f68,f239]) ).

fof(f457,plain,
    ( sk_c7 = multiply(inverse(sk_c7),sk_c6)
    | ~ spl0_1
    | spl0_5 ),
    inference(superposition,[],[f68,f244]) ).

fof(f765,plain,
    ( sk_c6 = multiply(sk_c5,inverse(sk_c7))
    | spl0_5 ),
    inference(forward_demodulation,[],[f671,f563]) ).

fof(f671,plain,
    ( multiply(sk_c6,identity) = multiply(sk_c5,inverse(sk_c7))
    | spl0_5 ),
    inference(superposition,[],[f240,f562]) ).

fof(f726,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c5,multiply(inverse(sk_c7),X0))
    | spl0_5 ),
    inference(superposition,[],[f240,f564]) ).

fof(f258,plain,
    ( multiply(sk_c6,identity) = multiply(sk_c5,sk_c1)
    | ~ spl0_1
    | spl0_5 ),
    inference(superposition,[],[f240,f207]) ).

fof(f240,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,multiply(sk_c7,X0))
    | spl0_5 ),
    inference(superposition,[],[f3,f239]) ).

fof(f251,plain,
    ( sk_c5 = multiply(sk_c6,sk_c6)
    | ~ spl0_4
    | spl0_5 ),
    inference(superposition,[],[f236,f250]) ).

fof(f250,plain,
    ( sk_c6 = multiply(sk_c2,sk_c5)
    | spl0_5 ),
    inference(subsumption_resolution,[],[f36,f231]) ).

fof(f244,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | spl0_5 ),
    inference(superposition,[],[f210,f241]) ).

fof(f241,plain,
    ( sk_c7 = multiply(sk_c1,sk_c6)
    | spl0_5 ),
    inference(subsumption_resolution,[],[f22,f231]) ).

fof(f239,plain,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | spl0_5 ),
    inference(subsumption_resolution,[],[f8,f231]) ).

fof(f231,plain,
    ( sk_c6 != inverse(sk_c3)
    | spl0_5 ),
    inference(avatar_component_clause,[],[f230]) ).

fof(f763,plain,
    ( spl0_3
    | spl0_3
    | spl0_3
    | spl0_3
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(avatar_split_clause,[],[f658,f230,f226,f45,f41,f204,f204,f204,f204]) ).

fof(f658,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(X5,identity)
        | identity != multiply(X3,identity)
        | identity != multiply(X4,identity)
        | identity != multiply(X6,identity)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X4) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f657,f313]) ).

fof(f313,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(superposition,[],[f308,f1]) ).

fof(f308,plain,
    ( identity = multiply(identity,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f267,f275]) ).

fof(f275,plain,
    ( sk_c6 = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f271,f1]) ).

fof(f271,plain,
    ( sk_c7 = multiply(identity,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(superposition,[],[f242,f264]) ).

fof(f264,plain,
    ( identity = sk_c5
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f263,f49]) ).

fof(f242,plain,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_5 ),
    inference(superposition,[],[f241,f213]) ).

fof(f267,plain,
    ( identity = multiply(identity,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(superposition,[],[f49,f264]) ).

fof(f657,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c6 != multiply(X5,identity)
        | identity != multiply(X3,identity)
        | identity != multiply(X4,identity)
        | identity != multiply(X6,identity)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X4) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f656,f275]) ).

fof(f656,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != multiply(X5,identity)
        | identity != multiply(X3,identity)
        | identity != multiply(X4,identity)
        | identity != multiply(X6,identity)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X4) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f655,f313]) ).

fof(f655,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(X3,identity)
        | identity != multiply(X4,identity)
        | identity != multiply(X6,identity)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f654,f313]) ).

fof(f654,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c6 != multiply(X3,identity)
        | identity != multiply(X4,identity)
        | identity != multiply(X6,identity)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f653,f275]) ).

fof(f653,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != multiply(X3,identity)
        | identity != multiply(X4,identity)
        | identity != multiply(X6,identity)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f652,f313]) ).

fof(f652,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(X4,identity)
        | identity != multiply(X6,identity)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | sk_c7 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(subsumption_resolution,[],[f651,f275]) ).

fof(f651,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c6 != sk_c7
        | identity != multiply(X4,identity)
        | identity != multiply(X6,identity)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | sk_c7 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f650,f563]) ).

fof(f650,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != multiply(sk_c6,identity)
        | identity != multiply(X4,identity)
        | identity != multiply(X6,identity)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | sk_c7 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f649,f264]) ).

fof(f649,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(X4,identity)
        | identity != multiply(X6,identity)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | sk_c7 != multiply(sk_c6,sk_c5)
        | sk_c7 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f648,f313]) ).

fof(f648,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c6 != multiply(X4,identity)
        | identity != multiply(X6,identity)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | sk_c7 != multiply(sk_c6,sk_c5)
        | sk_c7 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f647,f264]) ).

fof(f647,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(X6,identity)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | sk_c6 != multiply(X4,sk_c5)
        | sk_c7 != multiply(sk_c6,sk_c5)
        | sk_c7 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(subsumption_resolution,[],[f646,f563]) ).

fof(f646,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c6 != multiply(sk_c6,identity)
        | identity != multiply(X6,identity)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | sk_c6 != multiply(X4,sk_c5)
        | sk_c7 != multiply(sk_c6,sk_c5)
        | sk_c7 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f645,f275]) ).

fof(f645,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c6 != multiply(sk_c7,identity)
        | identity != multiply(X6,identity)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | sk_c6 != multiply(X4,sk_c5)
        | sk_c7 != multiply(sk_c6,sk_c5)
        | sk_c7 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f644,f264]) ).

fof(f644,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(X6,identity)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X4,sk_c5)
        | sk_c7 != multiply(sk_c6,sk_c5)
        | sk_c7 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f643,f264]) ).

fof(f643,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c5 != multiply(X6,identity)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X4,sk_c5)
        | sk_c7 != multiply(sk_c6,sk_c5)
        | sk_c7 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f642,f313]) ).

fof(f642,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c5 != multiply(X6,sk_c6)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X4,sk_c5)
        | sk_c7 != multiply(sk_c6,sk_c5)
        | sk_c7 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f641,f275]) ).

fof(f641,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | sk_c5 != multiply(X6,sk_c7)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X4,sk_c5)
        | sk_c7 != multiply(sk_c6,sk_c5)
        | sk_c7 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f640,f313]) ).

fof(f640,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c6 != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | sk_c5 != multiply(X6,sk_c7)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X4,sk_c5)
        | sk_c7 != multiply(sk_c6,sk_c5)
        | sk_c7 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f639,f275]) ).

fof(f639,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | sk_c7 != inverse(X6)
        | sk_c5 != multiply(X6,sk_c7)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X4,sk_c5)
        | sk_c7 != multiply(sk_c6,sk_c5)
        | sk_c7 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f638,f313]) ).

fof(f638,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c6 != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | sk_c7 != inverse(X6)
        | sk_c5 != multiply(X6,sk_c7)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X4,sk_c5)
        | sk_c7 != multiply(sk_c6,sk_c5)
        | sk_c7 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f637,f275]) ).

fof(f637,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != inverse(X5)
        | identity != inverse(X4)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X6)
        | sk_c5 != multiply(X6,sk_c7)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X4,sk_c5)
        | sk_c7 != multiply(sk_c6,sk_c5)
        | sk_c7 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f636,f313]) ).

fof(f636,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != inverse(X4)
        | sk_c6 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X6)
        | sk_c5 != multiply(X6,sk_c7)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X4,sk_c5)
        | sk_c7 != multiply(sk_c6,sk_c5)
        | sk_c7 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f635,f313]) ).

fof(f635,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c6 != inverse(X4)
        | sk_c6 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X6)
        | sk_c5 != multiply(X6,sk_c7)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X4,sk_c5)
        | sk_c7 != multiply(sk_c6,sk_c5)
        | sk_c7 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_2
    | spl0_5 ),
    inference(subsumption_resolution,[],[f74,f239]) ).

fof(f233,plain,
    ( spl0_4
    | spl0_5 ),
    inference(avatar_split_clause,[],[f29,f230,f226]) ).

fof(f206,plain,
    ( spl0_3
    | spl0_3
    | spl0_3
    | spl0_3
    | spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f190,f45,f41,f204,f204,f204,f204]) ).

fof(f190,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != inverse(X5)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X6)
        | identity != multiply(X6,identity)
        | identity != multiply(X4,identity)
        | identity != multiply(X3,identity)
        | identity != multiply(X5,identity) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f189,f137]) ).

fof(f137,plain,
    ( identity = sk_c6
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f134,f91]) ).

fof(f91,plain,
    ( sk_c6 = sk_c7
    | spl0_1 ),
    inference(forward_demodulation,[],[f88,f55]) ).

fof(f55,plain,
    ( sk_c6 = multiply(sk_c7,sk_c5)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f12,f42]) ).

fof(f42,plain,
    ( sk_c7 != inverse(sk_c1)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f41]) ).

fof(f88,plain,
    ( sk_c7 = multiply(sk_c7,sk_c5)
    | spl0_1 ),
    inference(superposition,[],[f73,f57]) ).

fof(f57,plain,
    ( sk_c5 = multiply(sk_c4,sk_c7)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f16,f42]) ).

fof(f73,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c4,X0)) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f67,f1]) ).

fof(f67,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c4,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f53]) ).

fof(f53,plain,
    ( identity = multiply(sk_c7,sk_c4)
    | spl0_1 ),
    inference(superposition,[],[f2,f52]) ).

fof(f52,plain,
    ( sk_c7 = inverse(sk_c4)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f17,f42]) ).

fof(f134,plain,
    ( identity = sk_c7
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f133,f102]) ).

fof(f102,plain,
    ( identity = sk_c5
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f94,f77]) ).

fof(f77,plain,
    ( sk_c5 = multiply(sk_c5,sk_c6)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f71,f55]) ).

fof(f94,plain,
    ( identity = multiply(sk_c5,sk_c6)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f49,f91]) ).

fof(f133,plain,
    ( sk_c7 = sk_c5
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f128,f1]) ).

fof(f128,plain,
    ( sk_c5 = multiply(identity,sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f57,f117]) ).

fof(f117,plain,
    ( identity = sk_c4
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f111,f1]) ).

fof(f111,plain,
    ( sk_c4 = multiply(identity,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f78,f102]) ).

fof(f78,plain,
    ( sk_c4 = multiply(sk_c5,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f71,f53]) ).

fof(f189,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X6)
        | identity != multiply(X6,identity)
        | identity != multiply(X4,identity)
        | identity != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | sk_c6 != inverse(X5) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f188,f137]) ).

fof(f188,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != inverse(X3)
        | identity != inverse(X6)
        | identity != multiply(X6,identity)
        | identity != multiply(X4,identity)
        | identity != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | sk_c6 != inverse(X4)
        | sk_c6 != inverse(X5) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f187,f137]) ).

fof(f187,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != inverse(X6)
        | identity != multiply(X6,identity)
        | identity != multiply(X4,identity)
        | identity != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | sk_c6 != inverse(X3)
        | sk_c6 != inverse(X4)
        | sk_c6 != inverse(X5) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f186,f137]) ).

fof(f186,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(X6,identity)
        | identity != multiply(X4,identity)
        | identity != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | sk_c6 != inverse(X6)
        | sk_c6 != inverse(X3)
        | sk_c6 != inverse(X4)
        | sk_c6 != inverse(X5) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f185,f137]) ).

fof(f185,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(X4,identity)
        | identity != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | identity != multiply(X6,sk_c6)
        | sk_c6 != inverse(X6)
        | sk_c6 != inverse(X3)
        | sk_c6 != inverse(X4)
        | sk_c6 != inverse(X5) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f184,f137]) ).

fof(f184,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | sk_c6 != multiply(X4,identity)
        | identity != multiply(X6,sk_c6)
        | sk_c6 != inverse(X6)
        | sk_c6 != inverse(X3)
        | sk_c6 != inverse(X4)
        | sk_c6 != inverse(X5) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f183,f137]) ).

fof(f183,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(X5,identity)
        | sk_c6 != multiply(X3,sk_c6)
        | sk_c6 != multiply(X4,identity)
        | identity != multiply(X6,sk_c6)
        | sk_c6 != inverse(X6)
        | sk_c6 != inverse(X3)
        | sk_c6 != inverse(X4)
        | sk_c6 != inverse(X5) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f182,f137]) ).

fof(f182,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c6 != multiply(X5,sk_c6)
        | sk_c6 != multiply(X3,sk_c6)
        | sk_c6 != multiply(X4,identity)
        | identity != multiply(X6,sk_c6)
        | sk_c6 != inverse(X6)
        | sk_c6 != inverse(X3)
        | sk_c6 != inverse(X4)
        | sk_c6 != inverse(X5) )
    | spl0_1
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f181,f1]) ).

fof(f181,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(identity,identity)
        | sk_c6 != multiply(X5,sk_c6)
        | sk_c6 != multiply(X3,sk_c6)
        | sk_c6 != multiply(X4,identity)
        | identity != multiply(X6,sk_c6)
        | sk_c6 != inverse(X6)
        | sk_c6 != inverse(X3)
        | sk_c6 != inverse(X4)
        | sk_c6 != inverse(X5) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f126,f137]) ).

fof(f126,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(sk_c6,sk_c6)
        | sk_c6 != multiply(X5,sk_c6)
        | sk_c6 != multiply(X3,sk_c6)
        | sk_c6 != multiply(X4,identity)
        | identity != multiply(X6,sk_c6)
        | sk_c6 != inverse(X6)
        | sk_c6 != inverse(X3)
        | sk_c6 != inverse(X4)
        | sk_c6 != inverse(X5) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f125,f91]) ).

fof(f125,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(sk_c6,sk_c7)
        | sk_c6 != multiply(X5,sk_c6)
        | sk_c6 != multiply(X3,sk_c6)
        | sk_c6 != multiply(X4,identity)
        | identity != multiply(X6,sk_c6)
        | sk_c6 != inverse(X6)
        | sk_c6 != inverse(X3)
        | sk_c6 != inverse(X4)
        | sk_c6 != inverse(X5) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f124,f102]) ).

fof(f124,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c6 != multiply(X5,sk_c6)
        | sk_c6 != multiply(X3,sk_c6)
        | sk_c6 != multiply(X4,identity)
        | identity != multiply(X6,sk_c6)
        | sk_c6 != inverse(X6)
        | sk_c6 != inverse(X3)
        | sk_c6 != inverse(X4)
        | sk_c6 != inverse(X5)
        | multiply(sk_c6,sk_c7) != sk_c5 )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f123,f91]) ).

fof(f123,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c6 != multiply(X3,sk_c6)
        | sk_c6 != multiply(X4,identity)
        | identity != multiply(X6,sk_c6)
        | sk_c6 != inverse(X6)
        | sk_c6 != inverse(X3)
        | sk_c6 != inverse(X4)
        | sk_c6 != inverse(X5)
        | sk_c7 != multiply(X5,sk_c6)
        | multiply(sk_c6,sk_c7) != sk_c5 )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f122,f91]) ).

fof(f122,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c6 != multiply(X4,identity)
        | identity != multiply(X6,sk_c6)
        | sk_c6 != inverse(X6)
        | sk_c6 != inverse(X3)
        | sk_c6 != inverse(X4)
        | sk_c6 != inverse(X5)
        | sk_c7 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X5,sk_c6)
        | multiply(sk_c6,sk_c7) != sk_c5 )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f121,f102]) ).

fof(f121,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(X6,sk_c6)
        | sk_c6 != inverse(X6)
        | sk_c6 != inverse(X3)
        | sk_c6 != inverse(X4)
        | sk_c6 != inverse(X5)
        | sk_c6 != multiply(X4,sk_c5)
        | sk_c7 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X5,sk_c6)
        | multiply(sk_c6,sk_c7) != sk_c5 )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f120,f102]) ).

fof(f120,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c5 != multiply(X6,sk_c6)
        | sk_c6 != inverse(X6)
        | sk_c6 != inverse(X3)
        | sk_c6 != inverse(X4)
        | sk_c6 != inverse(X5)
        | sk_c6 != multiply(X4,sk_c5)
        | sk_c7 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X5,sk_c6)
        | multiply(sk_c6,sk_c7) != sk_c5 )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f119,f91]) ).

fof(f119,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c6 != inverse(X6)
        | sk_c6 != inverse(X3)
        | sk_c6 != inverse(X4)
        | sk_c6 != inverse(X5)
        | sk_c5 != multiply(X6,sk_c7)
        | sk_c6 != multiply(X4,sk_c5)
        | sk_c7 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X5,sk_c6)
        | multiply(sk_c6,sk_c7) != sk_c5 )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f118,f91]) ).

fof(f118,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c6 != inverse(X3)
        | sk_c6 != inverse(X4)
        | sk_c6 != inverse(X5)
        | sk_c7 != inverse(X6)
        | sk_c5 != multiply(X6,sk_c7)
        | sk_c6 != multiply(X4,sk_c5)
        | sk_c7 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X5,sk_c6)
        | multiply(sk_c6,sk_c7) != sk_c5 )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f76,f91]) ).

fof(f76,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c6 != inverse(X4)
        | sk_c6 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X6)
        | sk_c5 != multiply(X6,sk_c7)
        | sk_c6 != multiply(X4,sk_c5)
        | sk_c7 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X5,sk_c6)
        | multiply(sk_c6,sk_c7) != sk_c5 )
    | spl0_1
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f75,f54]) ).

fof(f54,plain,
    ( sk_c7 = multiply(sk_c6,sk_c5)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f11,f42]) ).

fof(f75,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c6 != inverse(X4)
        | sk_c6 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X6)
        | sk_c5 != multiply(X6,sk_c7)
        | sk_c6 != multiply(X4,sk_c5)
        | sk_c7 != multiply(sk_c6,sk_c5)
        | sk_c7 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X5,sk_c6)
        | multiply(sk_c6,sk_c7) != sk_c5 )
    | spl0_1
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f74,f55]) ).

fof(f48,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f13,f45,f41]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : GRP346-1 : TPTP v8.1.2. Released v2.5.0.
% 0.11/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35  % Computer : n022.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Fri May  3 20:51:38 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  % (28460)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37  % (28463)WARNING: value z3 for option sas not known
% 0.15/0.37  % (28464)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.37  % (28462)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.37  % (28461)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.37  % (28463)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)
% 0.15/0.37  % (28465)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)
% 0.15/0.37  % (28466)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)
% 0.15/0.37  % (28467)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  TRYING [1]
% 0.15/0.38  TRYING [2]
% 0.15/0.38  TRYING [1]
% 0.15/0.38  TRYING [2]
% 0.15/0.38  TRYING [3]
% 0.15/0.39  TRYING [3]
% 0.15/0.39  TRYING [4]
% 0.15/0.40  TRYING [4]
% 0.15/0.40  TRYING [5]
% 0.21/0.44  TRYING [6]
% 0.21/0.46  TRYING [5]
% 0.21/0.47  % (28463)First to succeed.
% 0.21/0.49  % (28463)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-28460"
% 0.21/0.49  % (28463)Refutation found. Thanks to Tanya!
% 0.21/0.49  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.50  % (28463)------------------------------
% 0.21/0.50  % (28463)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.50  % (28463)Termination reason: Refutation
% 0.21/0.50  
% 0.21/0.50  % (28463)Memory used [KB]: 2170
% 0.21/0.50  % (28463)Time elapsed: 0.117 s
% 0.21/0.50  % (28463)Instructions burned: 237 (million)
% 0.21/0.50  % (28460)Success in time 0.13 s
%------------------------------------------------------------------------------