%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GRP237-1 : TPTP v8.2.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : 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 : Mon May 20 21:17:41 EDT 2024

% Result   : Unsatisfiable 0.22s 0.49s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   30
%            Number of leaves      :   49
% Syntax   : Number of formulae    :  851 ( 132 unt;   0 def)
%            Number of atoms       : 2542 (1099 equ)
%            Maximal formula atoms :   12 (   2 avg)
%            Number of connectives : 3159 (1468   ~;1682   |;   0   &)
%                                         (   9 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   4 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :   11 (   9 usr;  10 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;  10 con; 0-2 aty)
%            Number of variables   :  522 ( 522   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3663,plain,
    $false,
    inference(avatar_sat_refutation,[],[f52,f383,f445,f1513,f1586,f1590,f2359,f2514,f2611,f2615,f3052,f3247,f3249,f3251,f3253,f3255,f3257,f3259,f3261,f3263,f3265,f3267,f3269,f3271,f3273,f3275,f3277,f3279,f3281,f3284,f3288,f3292,f3298,f3302,f3304,f3306,f3310,f3312,f3314,f3519,f3523,f3525,f3587,f3591,f3594,f3596,f3598,f3600,f3603,f3609,f3634,f3636,f3638,f3640,f3643,f3646,f3648,f3651,f3654,f3657,f3659,f3662]) ).

fof(f3662,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3661]) ).

fof(f3661,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f3660,f1]) ).

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

fof(f3660,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3631,f1585]) ).

fof(f1585,plain,
    ( identity = sk_c9
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f1583]) ).

fof(f1583,plain,
    ( spl0_9
  <=> identity = sk_c9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f3631,plain,
    ( identity != multiply(sk_c9,identity)
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(superposition,[],[f1506,f423]) ).

fof(f423,plain,
    ( ! [X0] : multiply(sk_c9,X0) = multiply(inverse(sk_c8),X0)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f422,f1]) ).

fof(f422,plain,
    ( ! [X0] : multiply(sk_c9,X0) = multiply(inverse(sk_c8),multiply(identity,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f415]) ).

fof(f415,plain,
    ( sk_c9 = multiply(inverse(sk_c8),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f69,f414]) ).

fof(f414,plain,
    ( identity = multiply(sk_c8,sk_c9)
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f47]) ).

fof(f47,plain,
    ( inverse(sk_c9) = sk_c8
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f45]) ).

fof(f45,plain,
    ( spl0_1
  <=> inverse(sk_c9) = sk_c8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

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

fof(f69,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f61,f1]) ).

fof(f61,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[],[f3,f2]) ).

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

fof(f1506,plain,
    ( ! [X6] : identity != multiply(inverse(X6),identity)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f1505]) ).

fof(f1505,plain,
    ( spl0_5
  <=> ! [X6] : identity != multiply(inverse(X6),identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f3659,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3658]) ).

fof(f3658,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f3626,f1585]) ).

fof(f3626,plain,
    ( identity != sk_c9
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(superposition,[],[f1506,f415]) ).

fof(f3657,plain,
    ( ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3656]) ).

fof(f3656,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f3655,f1]) ).

fof(f3655,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3624,f1585]) ).

fof(f3624,plain,
    ( identity != multiply(sk_c9,identity)
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(superposition,[],[f1506,f1581]) ).

fof(f1581,plain,
    ( sk_c9 = inverse(sk_c2)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f1579]) ).

fof(f1579,plain,
    ( spl0_8
  <=> sk_c9 = inverse(sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f3654,plain,
    ( ~ spl0_4
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3653]) ).

fof(f3653,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f3652,f1]) ).

fof(f3652,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3623,f1585]) ).

fof(f3623,plain,
    ( identity != multiply(sk_c9,identity)
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(superposition,[],[f1506,f444]) ).

fof(f444,plain,
    ( sk_c9 = inverse(sk_c6)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f442]) ).

fof(f442,plain,
    ( spl0_4
  <=> sk_c9 = inverse(sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f3651,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3650]) ).

fof(f3650,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f3649,f1]) ).

fof(f3649,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3622,f3420]) ).

fof(f3420,plain,
    ( identity = sk_c4
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3419,f3358]) ).

fof(f3358,plain,
    ( identity = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1591,f1628]) ).

fof(f1628,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(superposition,[],[f1373,f1591]) ).

fof(f1373,plain,
    ( identity = inverse(identity)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1238,f418]) ).

fof(f418,plain,
    ( identity = multiply(inverse(inverse(sk_c5)),sk_c4)
    | ~ spl0_2 ),
    inference(superposition,[],[f69,f281]) ).

fof(f281,plain,
    ( sk_c4 = multiply(inverse(sk_c5),identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f69,f53]) ).

fof(f53,plain,
    ( identity = multiply(sk_c5,sk_c4)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f51]) ).

fof(f51,plain,
    ( sk_c5 = inverse(sk_c4)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f49]) ).

fof(f49,plain,
    ( spl0_2
  <=> sk_c5 = inverse(sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f1238,plain,
    ( identity = inverse(multiply(inverse(inverse(sk_c5)),sk_c4))
    | ~ spl0_2 ),
    inference(superposition,[],[f1053,f429]) ).

fof(f429,plain,
    ( ! [X0] : multiply(inverse(inverse(sk_c5)),multiply(sk_c4,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f428,f1]) ).

fof(f428,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(sk_c5)),multiply(sk_c4,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f418]) ).

fof(f1053,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
    inference(superposition,[],[f915,f3]) ).

fof(f915,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f271,f2]) ).

fof(f271,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
    inference(superposition,[],[f69,f69]) ).

fof(f1591,plain,
    ( sk_c8 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(superposition,[],[f47,f1585]) ).

fof(f3419,plain,
    ( sk_c4 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3418,f1611]) ).

fof(f1611,plain,
    ( sk_c4 = inverse(sk_c5)
    | ~ spl0_2 ),
    inference(superposition,[],[f947,f51]) ).

fof(f947,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(superposition,[],[f916,f260]) ).

fof(f260,plain,
    ! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[],[f69,f2]) ).

fof(f916,plain,
    ! [X0] : multiply(X0,identity) = X0,
    inference(superposition,[],[f271,f260]) ).

fof(f3418,plain,
    ( inverse(identity) = inverse(sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3413,f1]) ).

fof(f3413,plain,
    ( inverse(sk_c5) = multiply(identity,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_9 ),
    inference(superposition,[],[f1420,f3393]) ).

fof(f3393,plain,
    ( identity = multiply(sk_c5,identity)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3392,f1585]) ).

fof(f3392,plain,
    ( sk_c9 = multiply(sk_c5,identity)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3316,f1628]) ).

fof(f3316,plain,
    ( sk_c9 = multiply(sk_c5,sk_c8)
    | spl0_3 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f69,f262,f43,f20,f21,f14,f8,f7,f6,f4,f9,f259,f434,f15,f260,f817,f810,f876,f889,f271,f927,f928,f930,f935,f916,f996,f963,f1008,f947,f1033,f1034,f915,f1095,f1069,f921,f1137,f1152,f1053,f1192,f1237,f1388,f1422,f1424,f1425,f1333,f1530,f32,f26,f38,f33,f27,f39,f34,f35,f37,f36,f1420,f2762,f2774,f2842,f2789,f2879,f2799,f2800,f2802,f2803,f2838,f2888,f2900,f2920,f2921,f2922,f2923,f2912,f3010,f3013,f3014,f3015,f3016,f25,f3018,f3012,f3059,f3060,f2889,f2925,f2792,f2785,f2776,f3063,f3065,f3066,f2804,f1231,f1215,f1184,f1396,f29,f31,f30,f28,f11,f16,f18,f19,f13,f12,f10,f439,f3244,f1395,f1380,f1379,f1534,f1533,f1054,f1046,f969,f968,f953,f952,f878,f875,f17,f3282,f22,f23,f3315,f24]) ).

fof(f24,axiom,
    ( sk_c8 = multiply(sk_c9,sk_c3)
    | sk_c9 = multiply(sk_c5,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).

fof(f3315,plain,
    ( sk_c5 = inverse(sk_c4)
    | spl0_3 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f69,f262,f43,f20,f21,f14,f8,f7,f6,f4,f9,f259,f434,f15,f260,f817,f810,f876,f889,f271,f927,f928,f930,f935,f916,f996,f963,f1008,f947,f1033,f1034,f915,f1095,f1069,f921,f1137,f1152,f1053,f1192,f1237,f1388,f1422,f1424,f1425,f1333,f1530,f32,f26,f38,f33,f27,f39,f34,f35,f37,f36,f1420,f2762,f2774,f2842,f2789,f2879,f2799,f2800,f2802,f2803,f2838,f2888,f2900,f2920,f2921,f2922,f2923,f2912,f3010,f3013,f3014,f3015,f3016,f25,f3018,f3012,f3059,f3060,f2889,f2925,f2792,f2785,f2776,f3063,f3065,f3066,f2804,f1231,f1215,f1184,f1396,f29,f31,f30,f28,f11,f16,f18,f19,f13,f12,f10,f439,f3244,f1395,f1380,f1379,f1534,f1533,f1054,f1046,f969,f968,f953,f952,f878,f875,f17,f3282,f22,f24,f23]) ).

fof(f23,axiom,
    ( sk_c5 = inverse(sk_c4)
    | sk_c8 = multiply(sk_c9,sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).

fof(f22,axiom,
    ( sk_c8 = multiply(sk_c9,sk_c3)
    | sk_c9 = multiply(sk_c4,sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).

fof(f3282,plain,
    ( sk_c5 = inverse(sk_c4)
    | spl0_3 ),
    inference(subsumption_resolution,[],[f11,f439]) ).

fof(f17,axiom,
    ( sk_c5 = inverse(sk_c4)
    | sk_c9 = multiply(sk_c1,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).

fof(f875,plain,
    identity = inverse(identity),
    inference(superposition,[],[f810,f260]) ).

fof(f878,plain,
    identity = inverse(identity),
    inference(superposition,[],[f260,f810]) ).

fof(f952,plain,
    identity = inverse(identity),
    inference(superposition,[],[f916,f2]) ).

fof(f953,plain,
    identity = inverse(identity),
    inference(superposition,[],[f916,f259]) ).

fof(f968,plain,
    identity = inverse(identity),
    inference(superposition,[],[f2,f916]) ).

fof(f969,plain,
    identity = inverse(identity),
    inference(superposition,[],[f259,f916]) ).

fof(f1046,plain,
    identity = inverse(identity),
    inference(superposition,[],[f915,f1]) ).

fof(f1054,plain,
    identity = inverse(identity),
    inference(superposition,[],[f1,f915]) ).

fof(f1533,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f971,f947]) ).

fof(f971,plain,
    identity = inverse(inverse(inverse(identity))),
    inference(superposition,[],[f810,f916]) ).

fof(f1534,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f955,f947]) ).

fof(f955,plain,
    identity = inverse(inverse(inverse(identity))),
    inference(superposition,[],[f916,f810]) ).

fof(f1379,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f1244,f2]) ).

fof(f1244,plain,
    ! [X0] : identity = inverse(multiply(inverse(X0),X0)),
    inference(superposition,[],[f1053,f69]) ).

fof(f1380,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f1245,f915]) ).

fof(f1245,plain,
    ! [X0] : identity = inverse(multiply(X0,inverse(X0))),
    inference(superposition,[],[f1053,f921]) ).

fof(f1395,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f1260,f2]) ).

fof(f1260,plain,
    ! [X0] : identity = inverse(multiply(inverse(X0),X0)),
    inference(superposition,[],[f69,f1053]) ).

fof(f3244,plain,
    ( sk_c9 = multiply(sk_c4,sk_c5)
    | spl0_3 ),
    inference(subsumption_resolution,[],[f10,f439]) ).

fof(f439,plain,
    ( sk_c9 != inverse(sk_c1)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f438]) ).

fof(f438,plain,
    ( spl0_3
  <=> sk_c9 = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f10,axiom,
    ( sk_c9 = inverse(sk_c1)
    | sk_c9 = multiply(sk_c4,sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).

fof(f12,axiom,
    ( sk_c9 = inverse(sk_c1)
    | sk_c9 = multiply(sk_c5,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).

fof(f13,axiom,
    ( sk_c9 = inverse(sk_c1)
    | sk_c8 = multiply(sk_c9,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).

fof(f19,axiom,
    ( sk_c8 = multiply(sk_c9,sk_c7)
    | sk_c9 = multiply(sk_c1,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).

fof(f18,axiom,
    ( sk_c9 = multiply(sk_c1,sk_c8)
    | sk_c9 = multiply(sk_c5,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).

fof(f16,axiom,
    ( sk_c9 = multiply(sk_c4,sk_c5)
    | sk_c9 = multiply(sk_c1,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).

fof(f11,axiom,
    ( sk_c5 = inverse(sk_c4)
    | sk_c9 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).

fof(f28,axiom,
    ( sk_c3 = multiply(sk_c2,sk_c9)
    | sk_c9 = multiply(sk_c4,sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).

fof(f30,axiom,
    ( sk_c3 = multiply(sk_c2,sk_c9)
    | sk_c9 = multiply(sk_c5,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).

fof(f31,axiom,
    ( sk_c3 = multiply(sk_c2,sk_c9)
    | sk_c8 = multiply(sk_c9,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).

fof(f29,axiom,
    ( sk_c5 = inverse(sk_c4)
    | sk_c3 = multiply(sk_c2,sk_c9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).

fof(f1396,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f1261,f915]) ).

fof(f1261,plain,
    ! [X0] : identity = inverse(multiply(X0,inverse(X0))),
    inference(superposition,[],[f921,f1053]) ).

fof(f1184,plain,
    ! [X0] : identity = multiply(inverse(X0),multiply(X0,inverse(identity))),
    inference(superposition,[],[f1053,f2]) ).

fof(f1215,plain,
    ! [X0] : identity = multiply(X0,multiply(inverse(X0),inverse(identity))),
    inference(superposition,[],[f1053,f915]) ).

fof(f1231,plain,
    ! [X0] : identity = multiply(X0,inverse(multiply(X0,inverse(identity)))),
    inference(superposition,[],[f1053,f259]) ).

fof(f2804,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f2755,f915]) ).

fof(f2755,plain,
    ! [X0] : inverse(identity) = multiply(X0,inverse(X0)),
    inference(superposition,[],[f1420,f1]) ).

fof(f3066,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(forward_demodulation,[],[f2756,f947]) ).

fof(f2756,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,inverse(identity)),
    inference(superposition,[],[f1420,f2]) ).

fof(f3065,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(forward_demodulation,[],[f3064,f947]) ).

fof(f3064,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,inverse(identity)),
    inference(forward_demodulation,[],[f2758,f947]) ).

fof(f2758,plain,
    ! [X0] : inverse(inverse(inverse(inverse(X0)))) = multiply(X0,inverse(identity)),
    inference(superposition,[],[f1420,f810]) ).

fof(f3063,plain,
    ! [X0] : inverse(X0) = multiply(inverse(X0),inverse(identity)),
    inference(forward_demodulation,[],[f2775,f1420]) ).

fof(f2775,plain,
    ! [X0,X1] : inverse(X0) = multiply(multiply(X1,inverse(multiply(X0,X1))),inverse(identity)),
    inference(superposition,[],[f1420,f1053]) ).

fof(f2776,plain,
    ! [X0] : inverse(X0) = multiply(inverse(X0),inverse(identity)),
    inference(superposition,[],[f1420,f915]) ).

fof(f2785,plain,
    ! [X0] : inverse(X0) = inverse(multiply(X0,inverse(identity))),
    inference(superposition,[],[f1420,f259]) ).

fof(f2792,plain,
    ! [X0] : inverse(X0) = inverse(multiply(X0,inverse(identity))),
    inference(superposition,[],[f259,f1420]) ).

fof(f2925,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f2883,f915]) ).

fof(f2883,plain,
    ! [X0] : inverse(identity) = multiply(X0,inverse(X0)),
    inference(superposition,[],[f2838,f259]) ).

fof(f2889,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(superposition,[],[f2838,f916]) ).

fof(f3060,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(forward_demodulation,[],[f2890,f947]) ).

fof(f2890,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,inverse(identity)),
    inference(superposition,[],[f2838,f260]) ).

fof(f3059,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f3004,f2]) ).

fof(f3004,plain,
    ! [X0] : multiply(inverse(X0),X0) = inverse(identity),
    inference(superposition,[],[f2912,f259]) ).

fof(f3012,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(superposition,[],[f2912,f916]) ).

fof(f3018,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(superposition,[],[f916,f2912]) ).

fof(f25,axiom,
    ( sk_c8 = multiply(sk_c9,sk_c7)
    | sk_c8 = multiply(sk_c9,sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).

fof(f3016,plain,
    ! [X2,X0,X1] : multiply(X0,X2) = multiply(multiply(X0,inverse(X1)),multiply(X1,X2)),
    inference(superposition,[],[f3,f2912]) ).

fof(f3015,plain,
    ! [X0,X1] : multiply(inverse(multiply(X0,inverse(X1))),X0) = X1,
    inference(superposition,[],[f69,f2912]) ).

fof(f3014,plain,
    ! [X0,X1] : identity = multiply(multiply(X0,inverse(X1)),multiply(X1,inverse(X0))),
    inference(superposition,[],[f1053,f2912]) ).

fof(f3013,plain,
    ! [X0,X1] : multiply(X1,inverse(X0)) = inverse(multiply(X0,inverse(X1))),
    inference(superposition,[],[f1420,f2912]) ).

fof(f3010,plain,
    ! [X2,X0,X1] : multiply(X0,X1) = multiply(multiply(X0,multiply(X1,inverse(X2))),X2),
    inference(superposition,[],[f2912,f3]) ).

fof(f2912,plain,
    ! [X0,X1] : multiply(multiply(X1,inverse(X0)),X0) = X1,
    inference(superposition,[],[f2838,f947]) ).

fof(f2923,plain,
    ! [X2,X0,X1] : multiply(multiply(X0,X1),multiply(inverse(X1),X2)) = multiply(X0,X2),
    inference(superposition,[],[f3,f2838]) ).

fof(f2922,plain,
    ! [X0,X1] : inverse(X1) = multiply(inverse(multiply(X0,X1)),X0),
    inference(superposition,[],[f69,f2838]) ).

fof(f2921,plain,
    ! [X0,X1] : identity = multiply(multiply(X0,X1),multiply(inverse(X1),inverse(X0))),
    inference(superposition,[],[f1053,f2838]) ).

fof(f2920,plain,
    ! [X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(X1),inverse(X0)),
    inference(superposition,[],[f1420,f2838]) ).

fof(f2900,plain,
    ! [X0,X1] : multiply(X1,inverse(multiply(inverse(X0),X1))) = X0,
    inference(superposition,[],[f2838,f921]) ).

fof(f2888,plain,
    ! [X2,X0,X1] : multiply(X0,X1) = multiply(multiply(X0,multiply(X1,X2)),inverse(X2)),
    inference(superposition,[],[f2838,f3]) ).

fof(f2838,plain,
    ! [X0,X1] : multiply(multiply(X0,X1),inverse(X1)) = X0,
    inference(forward_demodulation,[],[f2773,f947]) ).

fof(f2773,plain,
    ! [X0,X1] : inverse(inverse(X0)) = multiply(multiply(X0,X1),inverse(X1)),
    inference(superposition,[],[f1420,f69]) ).

fof(f2803,plain,
    ! [X2,X0,X1] : inverse(X2) = multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1))))),
    inference(superposition,[],[f3,f1420]) ).

fof(f2802,plain,
    ! [X0,X1] : inverse(multiply(X1,inverse(X0))) = multiply(X0,inverse(X1)),
    inference(superposition,[],[f921,f1420]) ).

fof(f2800,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(inverse(multiply(X1,X0)),X2)) = multiply(inverse(X1),X2),
    inference(superposition,[],[f3,f1420]) ).

fof(f2799,plain,
    ! [X0,X1] : inverse(multiply(X1,X0)) = multiply(inverse(X0),inverse(X1)),
    inference(superposition,[],[f69,f1420]) ).

fof(f2879,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(inverse(multiply(X1,X0)),X1)),
    inference(forward_demodulation,[],[f2798,f947]) ).

fof(f2798,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(inverse(multiply(X1,X0)),inverse(inverse(X1)))),
    inference(superposition,[],[f1053,f1420]) ).

fof(f2789,plain,
    ! [X2,X0,X1] : inverse(X2) = multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1))))),
    inference(superposition,[],[f1420,f3]) ).

fof(f2842,plain,
    ! [X0,X1] : inverse(X0) = multiply(inverse(multiply(X1,X0)),X1),
    inference(forward_demodulation,[],[f2777,f947]) ).

fof(f2777,plain,
    ! [X0,X1] : inverse(X0) = multiply(inverse(multiply(X1,X0)),inverse(inverse(X1))),
    inference(superposition,[],[f1420,f1420]) ).

fof(f2774,plain,
    ! [X0,X1] : inverse(X0) = multiply(multiply(inverse(X0),X1),inverse(X1)),
    inference(superposition,[],[f1420,f921]) ).

fof(f2762,plain,
    ! [X2,X0,X1] : inverse(multiply(X0,X1)) = multiply(X2,inverse(multiply(X0,multiply(X1,X2)))),
    inference(superposition,[],[f1420,f3]) ).

fof(f36,axiom,
    ( sk_c9 = inverse(sk_c2)
    | sk_c9 = multiply(sk_c5,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).

fof(f37,axiom,
    ( sk_c9 = inverse(sk_c2)
    | sk_c8 = multiply(sk_c9,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).

fof(f35,axiom,
    ( sk_c5 = inverse(sk_c4)
    | sk_c9 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).

fof(f34,axiom,
    ( sk_c9 = inverse(sk_c2)
    | sk_c9 = multiply(sk_c4,sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).

fof(f39,axiom,
    ( sk_c9 = inverse(sk_c6)
    | sk_c9 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).

fof(f27,axiom,
    ( sk_c9 = inverse(sk_c6)
    | sk_c8 = multiply(sk_c9,sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).

fof(f33,axiom,
    ( sk_c9 = inverse(sk_c6)
    | sk_c3 = multiply(sk_c2,sk_c9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).

fof(f38,axiom,
    ( sk_c9 = inverse(sk_c2)
    | sk_c7 = multiply(sk_c6,sk_c9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).

fof(f26,axiom,
    ( sk_c7 = multiply(sk_c6,sk_c9)
    | sk_c8 = multiply(sk_c9,sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).

fof(f32,axiom,
    ( sk_c7 = multiply(sk_c6,sk_c9)
    | sk_c3 = multiply(sk_c2,sk_c9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).

fof(f1530,plain,
    ! [X0] : identity = multiply(inverse(X0),multiply(X0,inverse(identity))),
    inference(forward_demodulation,[],[f1187,f947]) ).

fof(f1187,plain,
    ! [X0] : identity = multiply(inverse(inverse(inverse(X0))),multiply(X0,inverse(identity))),
    inference(superposition,[],[f1053,f810]) ).

fof(f1333,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),inverse(identity)))),
    inference(forward_demodulation,[],[f1213,f3]) ).

fof(f1213,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(multiply(X1,inverse(multiply(X0,X1))),inverse(identity))),
    inference(superposition,[],[f1053,f1053]) ).

fof(f1425,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(X0,multiply(X1,X2)))))),
    inference(forward_demodulation,[],[f1278,f3]) ).

fof(f1278,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(multiply(X0,X1),X2))))),
    inference(superposition,[],[f3,f1053]) ).

fof(f1424,plain,
    ! [X0,X1] : multiply(X1,inverse(multiply(inverse(X0),X1))) = X0,
    inference(forward_demodulation,[],[f1277,f916]) ).

fof(f1277,plain,
    ! [X0,X1] : multiply(X0,identity) = multiply(X1,inverse(multiply(inverse(X0),X1))),
    inference(superposition,[],[f921,f1053]) ).

fof(f1422,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
    inference(forward_demodulation,[],[f1421,f1]) ).

fof(f1421,plain,
    ! [X2,X0,X1] : multiply(identity,X2) = multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))),
    inference(forward_demodulation,[],[f1275,f3]) ).

fof(f1275,plain,
    ! [X2,X0,X1] : multiply(identity,X2) = multiply(X0,multiply(multiply(X1,inverse(multiply(X0,X1))),X2)),
    inference(superposition,[],[f3,f1053]) ).

fof(f1388,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(X0,multiply(X1,X2)))))),
    inference(forward_demodulation,[],[f1253,f3]) ).

fof(f1253,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(multiply(X0,X1),X2))))),
    inference(superposition,[],[f1053,f3]) ).

fof(f1237,plain,
    ! [X2,X0,X1] : identity = multiply(X2,multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1)))))),
    inference(superposition,[],[f1053,f3]) ).

fof(f1192,plain,
    ! [X2,X0,X1] : identity = multiply(multiply(X0,X1),multiply(X2,inverse(multiply(X0,multiply(X1,X2))))),
    inference(superposition,[],[f1053,f3]) ).

fof(f1152,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
    inference(superposition,[],[f3,f921]) ).

fof(f1137,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
    inference(superposition,[],[f921,f3]) ).

fof(f921,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f271,f69]) ).

fof(f1069,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
    inference(superposition,[],[f3,f915]) ).

fof(f1095,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(forward_demodulation,[],[f1067,f1]) ).

fof(f1067,plain,
    ! [X0,X1] : multiply(identity,X1) = multiply(X0,multiply(inverse(X0),X1)),
    inference(superposition,[],[f3,f915]) ).

fof(f1034,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f2,f947]) ).

fof(f1033,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f69,f947]) ).

fof(f1008,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(forward_demodulation,[],[f983,f916]) ).

fof(f983,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,identity),
    inference(superposition,[],[f271,f916]) ).

fof(f963,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(superposition,[],[f260,f916]) ).

fof(f996,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(forward_demodulation,[],[f959,f916]) ).

fof(f959,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,identity),
    inference(superposition,[],[f916,f271]) ).

fof(f935,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f69,f271]) ).

fof(f930,plain,
    ! [X0] : multiply(X0,identity) = X0,
    inference(superposition,[],[f260,f271]) ).

fof(f928,plain,
    ! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
    inference(superposition,[],[f69,f271]) ).

fof(f927,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f2,f271]) ).

fof(f889,plain,
    ! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f877,f1]) ).

fof(f877,plain,
    ! [X0,X1] : multiply(identity,X1) = multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)),
    inference(superposition,[],[f3,f810]) ).

fof(f876,plain,
    ! [X0] : multiply(inverse(inverse(inverse(inverse(X0)))),identity) = X0,
    inference(superposition,[],[f69,f810]) ).

fof(f810,plain,
    ! [X0] : identity = multiply(inverse(inverse(inverse(X0))),X0),
    inference(superposition,[],[f69,f260]) ).

fof(f817,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
    inference(forward_demodulation,[],[f811,f1]) ).

fof(f811,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),multiply(identity,X1)),
    inference(superposition,[],[f3,f260]) ).

fof(f15,axiom,
    ( sk_c9 = inverse(sk_c6)
    | sk_c9 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).

fof(f434,plain,
    ! [X0] : multiply(inverse(inverse(identity)),X0) = X0,
    inference(superposition,[],[f69,f259]) ).

fof(f259,plain,
    ! [X0] : multiply(inverse(identity),X0) = X0,
    inference(superposition,[],[f69,f1]) ).

fof(f9,axiom,
    ( sk_c9 = inverse(sk_c6)
    | inverse(sk_c9) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).

fof(f4,axiom,
    ( inverse(sk_c9) = sk_c8
    | sk_c9 = multiply(sk_c4,sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).

fof(f6,axiom,
    ( inverse(sk_c9) = sk_c8
    | sk_c9 = multiply(sk_c5,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).

fof(f7,axiom,
    ( inverse(sk_c9) = sk_c8
    | sk_c8 = multiply(sk_c9,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).

fof(f8,axiom,
    ( inverse(sk_c9) = sk_c8
    | sk_c7 = multiply(sk_c6,sk_c9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).

fof(f14,axiom,
    ( sk_c9 = inverse(sk_c1)
    | sk_c7 = multiply(sk_c6,sk_c9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).

fof(f21,axiom,
    ( sk_c9 = inverse(sk_c6)
    | sk_c9 = multiply(sk_c1,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).

fof(f20,axiom,
    ( sk_c7 = multiply(sk_c6,sk_c9)
    | sk_c9 = multiply(sk_c1,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).

fof(f43,plain,
    ! [X3,X6,X9,X5] :
      ( sk_c9 != inverse(X9)
      | sk_c9 != inverse(X3)
      | sk_c9 != inverse(X5)
      | inverse(sk_c9) != sk_c8
      | sk_c8 != multiply(sk_c9,multiply(X5,sk_c9))
      | sk_c8 != multiply(sk_c9,multiply(X9,sk_c9))
      | sk_c9 != multiply(inverse(X6),sk_c8)
      | sk_c9 != multiply(X3,sk_c8)
      | sk_c9 != multiply(X6,inverse(X6)) ),
    inference(equality_resolution,[],[f42]) ).

fof(f42,plain,
    ! [X3,X8,X6,X9,X5] :
      ( sk_c9 != inverse(X9)
      | sk_c9 != inverse(X3)
      | sk_c9 != inverse(X5)
      | inverse(sk_c9) != sk_c8
      | sk_c8 != multiply(sk_c9,multiply(X5,sk_c9))
      | sk_c8 != multiply(sk_c9,X8)
      | sk_c9 != multiply(inverse(X6),sk_c8)
      | sk_c9 != multiply(X3,sk_c8)
      | sk_c9 != multiply(X6,inverse(X6))
      | multiply(X9,sk_c9) != X8 ),
    inference(equality_resolution,[],[f41]) ).

fof(f41,plain,
    ! [X3,X8,X6,X9,X4,X5] :
      ( sk_c9 != inverse(X9)
      | sk_c9 != inverse(X3)
      | sk_c9 != inverse(X5)
      | inverse(sk_c9) != sk_c8
      | sk_c8 != multiply(sk_c9,X4)
      | sk_c8 != multiply(sk_c9,X8)
      | sk_c9 != multiply(inverse(X6),sk_c8)
      | sk_c9 != multiply(X3,sk_c8)
      | sk_c9 != multiply(X6,inverse(X6))
      | multiply(X5,sk_c9) != X4
      | multiply(X9,sk_c9) != X8 ),
    inference(equality_resolution,[],[f40]) ).

fof(f40,axiom,
    ! [X3,X8,X6,X9,X7,X4,X5] :
      ( sk_c9 != inverse(X9)
      | sk_c9 != inverse(X3)
      | sk_c9 != inverse(X5)
      | inverse(sk_c9) != sk_c8
      | inverse(X6) != X7
      | sk_c8 != multiply(sk_c9,X4)
      | sk_c8 != multiply(sk_c9,X8)
      | sk_c9 != multiply(X7,sk_c8)
      | sk_c9 != multiply(X3,sk_c8)
      | sk_c9 != multiply(X6,X7)
      | multiply(X5,sk_c9) != X4
      | multiply(X9,sk_c9) != X8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).

fof(f262,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
    inference(superposition,[],[f69,f3]) ).

fof(f5,axiom,
    ( sk_c5 = inverse(sk_c4)
    | inverse(sk_c9) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).

fof(f1420,plain,
    ! [X0,X1] : inverse(X0) = multiply(X1,inverse(multiply(X0,X1))),
    inference(forward_demodulation,[],[f1274,f916]) ).

fof(f1274,plain,
    ! [X0,X1] : multiply(inverse(X0),identity) = multiply(X1,inverse(multiply(X0,X1))),
    inference(superposition,[],[f69,f1053]) ).

fof(f3622,plain,
    ( identity != multiply(sk_c4,identity)
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f1506,f1611]) ).

fof(f3648,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3647]) ).

fof(f3647,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f3621,f3393]) ).

fof(f3621,plain,
    ( identity != multiply(sk_c5,identity)
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f1506,f51]) ).

fof(f3646,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3645]) ).

fof(f3645,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f3644,f1]) ).

fof(f3644,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3620,f1585]) ).

fof(f3620,plain,
    ( identity != multiply(sk_c9,identity)
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(superposition,[],[f1506,f946]) ).

fof(f946,plain,
    ( sk_c9 = inverse(sk_c8)
    | ~ spl0_1 ),
    inference(superposition,[],[f916,f415]) ).

fof(f3643,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3642]) ).

fof(f3642,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f3641,f1]) ).

fof(f3641,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3619,f1628]) ).

fof(f3619,plain,
    ( identity != multiply(sk_c8,identity)
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(superposition,[],[f1506,f47]) ).

fof(f3640,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3639]) ).

fof(f3639,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f3617,f1]) ).

fof(f3617,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(superposition,[],[f1506,f3358]) ).

fof(f3638,plain,
    ~ spl0_5,
    inference(avatar_contradiction_clause,[],[f3637]) ).

fof(f3637,plain,
    ( $false
    | ~ spl0_5 ),
    inference(trivial_inequality_removal,[],[f3628]) ).

fof(f3628,plain,
    ( identity != identity
    | ~ spl0_5 ),
    inference(superposition,[],[f1506,f2]) ).

fof(f3636,plain,
    ~ spl0_5,
    inference(avatar_contradiction_clause,[],[f3635]) ).

fof(f3635,plain,
    ( $false
    | ~ spl0_5 ),
    inference(trivial_inequality_removal,[],[f3629]) ).

fof(f3629,plain,
    ( identity != identity
    | ~ spl0_5 ),
    inference(superposition,[],[f1506,f259]) ).

fof(f3634,plain,
    ~ spl0_5,
    inference(avatar_contradiction_clause,[],[f3633]) ).

fof(f3633,plain,
    ( $false
    | ~ spl0_5 ),
    inference(trivial_inequality_removal,[],[f3630]) ).

fof(f3630,plain,
    ( identity != identity
    | ~ spl0_5 ),
    inference(superposition,[],[f1506,f810]) ).

fof(f3609,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3608]) ).

fof(f3608,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f3607,f3358]) ).

fof(f3607,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3606,f1585]) ).

fof(f3606,plain,
    ( identity != inverse(sk_c9)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3605,f946]) ).

fof(f3605,plain,
    ( identity != inverse(inverse(sk_c8))
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f3604,f1585]) ).

fof(f3604,plain,
    ( identity != sk_c9
    | identity != inverse(inverse(sk_c8))
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f3573,f916]) ).

fof(f3573,plain,
    ( identity != multiply(sk_c9,identity)
    | identity != inverse(inverse(sk_c8))
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(superposition,[],[f1509,f423]) ).

fof(f1509,plain,
    ( ! [X3] :
        ( identity != multiply(X3,identity)
        | identity != inverse(X3) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f1508]) ).

fof(f1508,plain,
    ( spl0_6
  <=> ! [X3] :
        ( identity != multiply(X3,identity)
        | identity != inverse(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f3603,plain,
    ~ spl0_6,
    inference(avatar_contradiction_clause,[],[f3602]) ).

fof(f3602,plain,
    ( $false
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f3601,f947]) ).

fof(f3601,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f3577,f947]) ).

fof(f3577,plain,
    ( identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_6 ),
    inference(trivial_inequality_removal,[],[f3572]) ).

fof(f3572,plain,
    ( identity != identity
    | identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_6 ),
    inference(superposition,[],[f1509,f810]) ).

fof(f3600,plain,
    ~ spl0_6,
    inference(avatar_contradiction_clause,[],[f3599]) ).

fof(f3599,plain,
    ( $false
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f3578,f947]) ).

fof(f3578,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_6 ),
    inference(trivial_inequality_removal,[],[f3571]) ).

fof(f3571,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_6 ),
    inference(superposition,[],[f1509,f259]) ).

fof(f3598,plain,
    ~ spl0_6,
    inference(avatar_contradiction_clause,[],[f3597]) ).

fof(f3597,plain,
    ( $false
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f3579,f947]) ).

fof(f3579,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_6 ),
    inference(trivial_inequality_removal,[],[f3570]) ).

fof(f3570,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_6 ),
    inference(superposition,[],[f1509,f2]) ).

fof(f3596,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3595]) ).

fof(f3595,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f3580,f3358]) ).

fof(f3580,plain,
    ( identity != inverse(identity)
    | ~ spl0_6 ),
    inference(trivial_inequality_removal,[],[f3569]) ).

fof(f3569,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl0_6 ),
    inference(superposition,[],[f1509,f1]) ).

fof(f3594,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3593]) ).

fof(f3593,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f3592,f3358]) ).

fof(f3592,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3581,f3410]) ).

fof(f3410,plain,
    ( identity = sk_c5
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_9 ),
    inference(superposition,[],[f3393,f916]) ).

fof(f3581,plain,
    ( identity != inverse(sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(trivial_inequality_removal,[],[f3568]) ).

fof(f3568,plain,
    ( identity != identity
    | identity != inverse(sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(superposition,[],[f1509,f3393]) ).

fof(f3591,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3590]) ).

fof(f3590,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f3589,f3358]) ).

fof(f3589,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3588,f1628]) ).

fof(f3588,plain,
    ( identity != inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f3567,f1628]) ).

fof(f3567,plain,
    ( identity != sk_c8
    | identity != inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(superposition,[],[f1509,f530]) ).

fof(f530,plain,
    ( sk_c8 = multiply(sk_c8,identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f413,f519]) ).

fof(f519,plain,
    ( identity = multiply(sk_c9,sk_c8)
    | ~ spl0_1 ),
    inference(superposition,[],[f423,f2]) ).

fof(f413,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c9,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f69,f47]) ).

fof(f3587,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3586]) ).

fof(f3586,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f3585,f3358]) ).

fof(f3585,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3584,f1585]) ).

fof(f3584,plain,
    ( identity != inverse(sk_c9)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3583,f946]) ).

fof(f3583,plain,
    ( identity != inverse(inverse(sk_c8))
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f3566,f1585]) ).

fof(f3566,plain,
    ( identity != sk_c9
    | identity != inverse(inverse(sk_c8))
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(superposition,[],[f1509,f415]) ).

fof(f3525,plain,
    ~ spl0_7,
    inference(avatar_contradiction_clause,[],[f3524]) ).

fof(f3524,plain,
    ( $false
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f3515,f947]) ).

fof(f3515,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_7 ),
    inference(trivial_inequality_removal,[],[f3513]) ).

fof(f3513,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_7 ),
    inference(superposition,[],[f1512,f915]) ).

fof(f1512,plain,
    ( ! [X9] :
        ( identity != multiply(identity,X9)
        | identity != inverse(X9) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f1511]) ).

fof(f1511,plain,
    ( spl0_7
  <=> ! [X9] :
        ( identity != multiply(identity,X9)
        | identity != inverse(X9) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f3523,plain,
    ~ spl0_7,
    inference(avatar_contradiction_clause,[],[f3522]) ).

fof(f3522,plain,
    ( $false
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f3521,f947]) ).

fof(f3521,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f3516,f1420]) ).

fof(f3516,plain,
    ( ! [X0] : identity != inverse(multiply(X0,inverse(multiply(identity,X0))))
    | ~ spl0_7 ),
    inference(trivial_inequality_removal,[],[f3512]) ).

fof(f3512,plain,
    ( ! [X0] :
        ( identity != identity
        | identity != inverse(multiply(X0,inverse(multiply(identity,X0)))) )
    | ~ spl0_7 ),
    inference(superposition,[],[f1512,f1053]) ).

fof(f3519,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3518]) ).

fof(f3518,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f3517,f3358]) ).

fof(f3517,plain,
    ( identity != inverse(identity)
    | ~ spl0_7 ),
    inference(trivial_inequality_removal,[],[f3510]) ).

fof(f3510,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl0_7 ),
    inference(superposition,[],[f1512,f916]) ).

fof(f3314,plain,
    ( spl0_2
    | spl0_3 ),
    inference(avatar_contradiction_clause,[],[f3313]) ).

fof(f3313,plain,
    ( $false
    | spl0_2
    | spl0_3 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f69,f262,f43,f20,f21,f14,f8,f7,f6,f4,f9,f259,f434,f15,f260,f817,f810,f876,f889,f271,f927,f928,f930,f935,f916,f996,f963,f1008,f947,f1033,f1034,f915,f1095,f1069,f921,f1137,f1152,f1053,f1192,f1237,f1388,f1422,f1424,f1425,f1333,f1530,f32,f26,f38,f33,f27,f39,f34,f35,f37,f36,f2515,f2516,f2530,f2535,f1420,f2762,f2774,f2842,f2789,f2879,f2799,f2800,f2802,f2803,f2838,f2888,f2900,f2920,f2921,f2922,f2923,f2912,f3010,f3013,f3014,f3015,f3016,f25,f3018,f3012,f3059,f3060,f2889,f2925,f2792,f2785,f2776,f3063,f3065,f3066,f2804,f1231,f1215,f1184,f1396,f29,f31,f30,f28,f11,f16,f18,f19,f13,f12,f10,f439,f3244,f1395,f1380,f1379,f1534,f1533,f1054,f1046,f969,f968,f953,f952,f878,f875,f17,f3282,f22,f24,f23,f50]) ).

fof(f50,plain,
    ( sk_c5 != inverse(sk_c4)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f49]) ).

fof(f2535,plain,
    ( sk_c8 = multiply(sk_c9,sk_c3)
    | spl0_2 ),
    inference(global_subsumption,[],[f11,f17,f1,f2,f5,f3,f69,f262,f43,f20,f19,f18,f16,f21,f14,f13,f12,f10,f8,f7,f6,f4,f9,f259,f434,f15,f260,f817,f810,f876,f889,f271,f927,f928,f930,f935,f916,f996,f963,f1008,f947,f1033,f1034,f915,f1095,f1069,f921,f1137,f1152,f1053,f1192,f1237,f1388,f1420,f1422,f1424,f1425,f1231,f1215,f1333,f1530,f1184,f32,f26,f38,f33,f27,f39,f34,f28,f29,f35,f50,f31,f30,f37,f36,f22,f2515,f24,f2516,f25,f2530,f1396,f1395,f1380,f1379,f1534,f1533,f1054,f1046,f969,f968,f953,f952,f878,f875,f23]) ).

fof(f2530,plain,
    ( sk_c8 = multiply(sk_c9,sk_c3)
    | spl0_2 ),
    inference(global_subsumption,[],[f11,f17,f1,f2,f5,f3,f69,f262,f43,f20,f19,f18,f16,f21,f14,f13,f12,f10,f8,f7,f6,f4,f9,f259,f434,f15,f260,f817,f810,f876,f889,f271,f927,f928,f930,f935,f916,f996,f963,f1008,f947,f1033,f1034,f915,f1095,f1069,f921,f1137,f1152,f1053,f1192,f1237,f1388,f1420,f1422,f1424,f1425,f1396,f1395,f1380,f1379,f1231,f1215,f1333,f1530,f1184,f1054,f1046,f1533,f969,f968,f1534,f953,f952,f878,f875,f32,f26,f38,f33,f27,f39,f34,f28,f29,f23,f35,f50,f31,f30,f37,f36,f22,f2515,f24,f2516,f25]) ).

fof(f2516,plain,
    ( sk_c8 = multiply(sk_c9,sk_c3)
    | spl0_2 ),
    inference(global_subsumption,[],[f11,f17,f1,f2,f5,f3,f69,f262,f43,f20,f19,f18,f16,f21,f14,f13,f12,f10,f8,f7,f6,f4,f9,f259,f434,f15,f260,f817,f810,f876,f889,f271,f927,f928,f930,f935,f916,f996,f963,f1008,f947,f1033,f1034,f915,f1095,f1069,f921,f1137,f1152,f1053,f1192,f1237,f1388,f1420,f1422,f1424,f1425,f1396,f1395,f1380,f1379,f1231,f1215,f1333,f1530,f1184,f1054,f1046,f1533,f969,f968,f1534,f953,f952,f878,f875,f32,f26,f38,f33,f27,f39,f34,f28,f29,f23,f35,f50,f25,f31,f30,f37,f36,f22,f2515,f24]) ).

fof(f2515,plain,
    ( sk_c8 = multiply(sk_c9,sk_c3)
    | spl0_2 ),
    inference(global_subsumption,[],[f11,f17,f1,f2,f5,f3,f69,f262,f43,f20,f19,f18,f16,f21,f14,f13,f12,f10,f8,f7,f6,f4,f9,f259,f434,f15,f260,f817,f810,f876,f889,f271,f927,f928,f930,f935,f916,f996,f963,f1008,f947,f1033,f1034,f915,f1095,f1069,f921,f1137,f1152,f1053,f1192,f1237,f1388,f1420,f1422,f1424,f1425,f1396,f1395,f1380,f1379,f1231,f1215,f1333,f1530,f1184,f1054,f1046,f1533,f969,f968,f1534,f953,f952,f878,f875,f32,f26,f38,f33,f27,f39,f34,f28,f29,f23,f35,f50,f25,f31,f30,f24,f37,f36,f22]) ).

fof(f3312,plain,
    ( spl0_2
    | spl0_3 ),
    inference(avatar_contradiction_clause,[],[f3311]) ).

fof(f3311,plain,
    ( $false
    | spl0_2
    | spl0_3 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f69,f262,f43,f20,f21,f14,f8,f7,f6,f4,f9,f259,f434,f15,f260,f817,f810,f876,f889,f271,f927,f928,f930,f935,f916,f996,f963,f1008,f947,f1033,f1034,f915,f1095,f1069,f921,f1137,f1152,f1053,f1192,f1237,f1388,f1422,f1424,f1425,f1333,f1530,f32,f26,f38,f33,f27,f39,f34,f35,f37,f36,f2515,f2516,f2530,f2535,f50,f1420,f2762,f2774,f2842,f2789,f2879,f2799,f2800,f2802,f2803,f2838,f2888,f2900,f2920,f2921,f2922,f2923,f2912,f3010,f3013,f3014,f3015,f3016,f25,f3018,f3012,f3059,f3060,f2889,f2925,f2792,f2785,f2776,f3063,f3065,f3066,f2804,f1231,f1215,f1184,f1396,f29,f31,f30,f28,f11,f16,f18,f19,f13,f12,f10,f439,f3244,f1395,f1380,f1379,f1534,f1533,f1054,f1046,f969,f968,f953,f952,f878,f875,f17,f3282,f22,f24,f23]) ).

fof(f3310,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_3
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f3309]) ).

fof(f3309,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_3
    | ~ spl0_4 ),
    inference(global_subsumption,[],[f3308,f1,f2,f5,f3,f69,f262,f43,f20,f21,f14,f8,f7,f6,f4,f9,f259,f434,f15,f260,f817,f810,f876,f889,f271,f927,f928,f930,f935,f916,f996,f963,f1008,f947,f1033,f1034,f915,f1095,f1069,f921,f1137,f1152,f1053,f1192,f1237,f1388,f1422,f1424,f1425,f1333,f1530,f32,f26,f38,f33,f27,f39,f34,f35,f37,f36,f2515,f2516,f2530,f2535,f50,f1420,f2762,f2774,f2842,f2789,f2879,f2799,f2800,f2802,f2803,f2838,f2888,f2900,f2920,f2921,f2922,f2923,f2912,f3010,f3013,f3014,f3015,f3016,f23,f25,f3018,f3012,f3059,f3060,f2889,f2925,f2792,f2785,f2776,f3063,f3065,f3066,f2804,f1231,f1215,f1184,f1396,f29,f31,f30,f28,f11,f16,f18,f19,f13,f12,f10,f439,f3244,f1395,f1380,f1379,f1534,f1533,f1054,f1046,f969,f968,f953,f952,f878,f875,f17,f3282,f22,f24]) ).

fof(f3308,plain,
    ( sk_c9 = sk_c8
    | sk_c8 = multiply(sk_c9,sk_c3)
    | ~ spl0_1
    | spl0_3
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f3307,f916]) ).

fof(f3307,plain,
    ( sk_c8 = multiply(sk_c9,identity)
    | sk_c8 = multiply(sk_c9,sk_c3)
    | ~ spl0_1
    | spl0_3
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f25,f3241]) ).

fof(f3241,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | spl0_3
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f3085,f439]) ).

fof(f3085,plain,
    ( identity = sk_c7
    | sk_c9 = inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f3084,f414]) ).

fof(f3084,plain,
    ( sk_c7 = multiply(sk_c8,sk_c9)
    | sk_c9 = inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f14,f1561]) ).

fof(f1561,plain,
    ( sk_c8 = sk_c6
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f1560,f530]) ).

fof(f1560,plain,
    ( sk_c6 = multiply(sk_c8,identity)
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f1554,f47]) ).

fof(f1554,plain,
    ( sk_c6 = multiply(inverse(sk_c9),identity)
    | ~ spl0_4 ),
    inference(superposition,[],[f260,f444]) ).

fof(f3306,plain,
    ( spl0_2
    | spl0_3 ),
    inference(avatar_contradiction_clause,[],[f3305]) ).

fof(f3305,plain,
    ( $false
    | spl0_2
    | spl0_3 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f69,f262,f43,f20,f21,f14,f8,f7,f6,f4,f9,f259,f434,f15,f260,f817,f810,f876,f889,f271,f927,f928,f930,f935,f916,f996,f963,f1008,f947,f1033,f1034,f915,f1095,f1069,f921,f1137,f1152,f1053,f1192,f1237,f1388,f1422,f1424,f1425,f1333,f1530,f32,f26,f38,f33,f27,f39,f34,f35,f37,f36,f2515,f2516,f2530,f2535,f50,f1420,f2762,f2774,f2842,f2789,f2879,f2799,f2800,f2802,f2803,f2838,f2888,f2900,f2920,f2921,f2922,f2923,f2912,f3010,f3013,f3014,f3015,f3016,f23,f25,f3018,f3012,f3059,f3060,f2889,f2925,f2792,f2785,f2776,f3063,f3065,f3066,f2804,f1231,f1215,f1184,f1396,f29,f31,f30,f28,f11,f16,f18,f19,f13,f12,f10,f439,f3244,f1395,f1380,f1379,f1534,f1533,f1054,f1046,f969,f968,f953,f952,f878,f875,f17,f3282,f22,f24]) ).

fof(f3304,plain,
    ( spl0_2
    | spl0_3 ),
    inference(avatar_contradiction_clause,[],[f3303]) ).

fof(f3303,plain,
    ( $false
    | spl0_2
    | spl0_3 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f69,f262,f43,f20,f21,f14,f8,f7,f6,f4,f9,f259,f434,f15,f260,f817,f810,f876,f889,f271,f927,f928,f930,f935,f916,f996,f963,f1008,f947,f1033,f1034,f915,f1095,f1069,f921,f1137,f1152,f1053,f1192,f1237,f1388,f1422,f1424,f1425,f1333,f1530,f32,f26,f38,f33,f27,f39,f34,f35,f37,f36,f2515,f2516,f2530,f2535,f50,f1420,f2762,f2774,f2842,f2789,f2879,f2799,f2800,f2802,f2803,f2838,f2888,f2900,f2920,f2921,f2922,f2923,f2912,f3010,f3013,f3014,f3015,f3016,f23,f25,f24,f3018,f3012,f3059,f3060,f2889,f2925,f2792,f2785,f2776,f3063,f3065,f3066,f2804,f1231,f1215,f1184,f1396,f29,f31,f30,f28,f11,f16,f18,f19,f13,f12,f10,f439,f3244,f1395,f1380,f1379,f1534,f1533,f1054,f1046,f969,f968,f953,f952,f878,f875,f17,f3282,f22]) ).

fof(f3302,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_3
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3301]) ).

fof(f3301,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_3
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f3300,f1,f2,f5,f3,f69,f262,f43,f20,f21,f14,f8,f7,f6,f4,f9,f259,f434,f15,f260,f817,f810,f876,f889,f271,f927,f928,f930,f935,f916,f996,f963,f1008,f947,f1033,f1034,f915,f1095,f1069,f921,f1137,f1152,f1053,f1192,f1237,f1388,f1422,f1424,f1425,f1333,f1530,f32,f26,f38,f33,f27,f39,f34,f35,f37,f36,f2515,f2516,f2530,f2535,f50,f1420,f2762,f2774,f2842,f2789,f2879,f2799,f2800,f2802,f2803,f2838,f2888,f2900,f2920,f2921,f2922,f2923,f2912,f3010,f3013,f3014,f3015,f3016,f23,f25,f24,f22,f3018,f3012,f3059,f3060,f2889,f2925,f2792,f2785,f2776,f3063,f3065,f3066,f2804,f1231,f1215,f1184,f1396,f29,f31,f30,f28,f11,f16,f18,f19,f13,f12,f10,f439,f3244,f1395,f1380,f1379,f1534,f1533,f1054,f1046,f969,f968,f953,f952,f878,f875,f17,f3282]) ).

fof(f3300,plain,
    ( identity = sk_c3
    | sk_c5 = inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f3299,f414]) ).

fof(f3299,plain,
    ( sk_c3 = multiply(sk_c8,sk_c9)
    | sk_c5 = inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f29,f3072]) ).

fof(f3072,plain,
    ( sk_c8 = sk_c2
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2435,f530]) ).

fof(f2435,plain,
    ( sk_c2 = multiply(sk_c8,identity)
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2427,f47]) ).

fof(f2427,plain,
    ( sk_c2 = multiply(inverse(sk_c9),identity)
    | ~ spl0_8 ),
    inference(superposition,[],[f260,f1581]) ).

fof(f3298,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3297]) ).

fof(f3297,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f3296,f1,f2,f5,f3,f69,f262,f43,f20,f21,f14,f8,f7,f6,f4,f9,f259,f434,f15,f260,f817,f810,f876,f889,f271,f927,f928,f930,f935,f916,f996,f963,f1008,f947,f1033,f1034,f915,f1095,f1069,f921,f1137,f1152,f1053,f1192,f1237,f1388,f1422,f1424,f1425,f1333,f1530,f32,f26,f38,f33,f27,f39,f34,f35,f37,f36,f2515,f2516,f2530,f2535,f50,f1420,f2762,f2774,f2842,f2789,f2879,f2799,f2800,f2802,f2803,f2838,f2888,f2900,f2920,f2921,f2922,f2923,f2912,f3010,f3013,f3014,f3015,f3016,f23,f25,f24,f22,f3018,f3012,f3059,f3060,f2889,f2925,f2792,f2785,f2776,f3063,f3065,f3066,f2804,f1231,f1215,f1184,f1396,f29,f31,f30,f28,f11,f16,f18,f19,f13,f12,f10,f439,f3244,f1395,f1380,f1379,f1534,f1533,f1054,f1046,f969,f968,f953,f952,f878,f875,f17,f3282]) ).

fof(f3296,plain,
    ( sk_c9 = sk_c8
    | identity = sk_c3
    | ~ spl0_1
    | spl0_3
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f3295,f916]) ).

fof(f3295,plain,
    ( sk_c8 = multiply(sk_c9,identity)
    | identity = sk_c3
    | ~ spl0_1
    | spl0_3
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f3294,f3241]) ).

fof(f3294,plain,
    ( identity = sk_c3
    | sk_c8 = multiply(sk_c9,sk_c7)
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f3293,f414]) ).

fof(f3293,plain,
    ( sk_c3 = multiply(sk_c8,sk_c9)
    | sk_c8 = multiply(sk_c9,sk_c7)
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f31,f3072]) ).

fof(f3292,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_3
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3291]) ).

fof(f3291,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_3
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f3290,f1,f2,f5,f3,f69,f262,f43,f20,f21,f14,f8,f7,f6,f4,f9,f259,f434,f15,f260,f817,f810,f876,f889,f271,f927,f928,f930,f935,f916,f996,f963,f1008,f947,f1033,f1034,f915,f1095,f1069,f921,f1137,f1152,f1053,f1192,f1237,f1388,f1422,f1424,f1425,f1333,f1530,f32,f26,f38,f33,f27,f39,f34,f35,f37,f36,f2515,f2516,f2530,f2535,f50,f1420,f2762,f2774,f2842,f2789,f2879,f2799,f2800,f2802,f2803,f2838,f2888,f2900,f2920,f2921,f2922,f2923,f2912,f3010,f3013,f3014,f3015,f3016,f23,f25,f24,f22,f3018,f3012,f3059,f3060,f2889,f2925,f2792,f2785,f2776,f3063,f3065,f3066,f2804,f1231,f1215,f1184,f1396,f29,f31,f30,f28,f11,f16,f18,f19,f13,f12,f10,f439,f3244,f1395,f1380,f1379,f1534,f1533,f1054,f1046,f969,f968,f953,f952,f878,f875,f17,f3282]) ).

fof(f3290,plain,
    ( identity = sk_c3
    | sk_c9 = multiply(sk_c5,sk_c8)
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f3289,f414]) ).

fof(f3289,plain,
    ( sk_c3 = multiply(sk_c8,sk_c9)
    | sk_c9 = multiply(sk_c5,sk_c8)
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f30,f3072]) ).

fof(f3288,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_3
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3287]) ).

fof(f3287,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_3
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f3286,f1,f2,f5,f3,f69,f262,f43,f20,f21,f14,f8,f7,f6,f4,f9,f259,f434,f15,f260,f817,f810,f876,f889,f271,f927,f928,f930,f935,f916,f996,f963,f1008,f947,f1033,f1034,f915,f1095,f1069,f921,f1137,f1152,f1053,f1192,f1237,f1388,f1422,f1424,f1425,f1333,f1530,f32,f26,f38,f33,f27,f39,f34,f35,f37,f36,f2515,f2516,f2530,f2535,f50,f1420,f2762,f2774,f2842,f2789,f2879,f2799,f2800,f2802,f2803,f2838,f2888,f2900,f2920,f2921,f2922,f2923,f2912,f3010,f3013,f3014,f3015,f3016,f23,f25,f24,f22,f3018,f3012,f3059,f3060,f2889,f2925,f2792,f2785,f2776,f3063,f3065,f3066,f2804,f1231,f1215,f1184,f1396,f29,f31,f30,f28,f11,f16,f18,f19,f13,f12,f10,f439,f3244,f1395,f1380,f1379,f1534,f1533,f1054,f1046,f969,f968,f953,f952,f878,f875,f17,f3282]) ).

fof(f3286,plain,
    ( identity = sk_c3
    | sk_c9 = multiply(sk_c4,sk_c5)
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f3285,f414]) ).

fof(f3285,plain,
    ( sk_c3 = multiply(sk_c8,sk_c9)
    | sk_c9 = multiply(sk_c4,sk_c5)
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f28,f3072]) ).

fof(f3284,plain,
    ( spl0_2
    | spl0_3 ),
    inference(avatar_contradiction_clause,[],[f3283]) ).

fof(f3283,plain,
    ( $false
    | spl0_2
    | spl0_3 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f69,f262,f43,f20,f21,f14,f8,f7,f6,f4,f9,f259,f434,f15,f260,f817,f810,f876,f889,f271,f927,f928,f930,f935,f916,f996,f963,f1008,f947,f1033,f1034,f915,f1095,f1069,f921,f1137,f1152,f1053,f1192,f1237,f1388,f1422,f1424,f1425,f1333,f1530,f32,f26,f38,f33,f27,f39,f34,f35,f37,f36,f2515,f2516,f2530,f2535,f50,f1420,f2762,f2774,f2842,f2789,f2879,f2799,f2800,f2802,f2803,f2838,f2888,f2900,f2920,f2921,f2922,f2923,f2912,f3010,f3013,f3014,f3015,f3016,f23,f25,f24,f22,f3018,f3012,f3059,f3060,f2889,f2925,f2792,f2785,f2776,f3063,f3065,f3066,f2804,f1231,f1215,f1184,f1396,f29,f31,f30,f28,f11,f16,f18,f19,f13,f12,f10,f439,f3244,f1395,f1380,f1379,f1534,f1533,f1054,f1046,f969,f968,f953,f952,f878,f875,f17,f3282]) ).

fof(f3281,plain,
    ( spl0_2
    | spl0_3 ),
    inference(avatar_contradiction_clause,[],[f3280]) ).

fof(f3280,plain,
    ( $false
    | spl0_2
    | spl0_3 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f69,f262,f43,f20,f21,f14,f8,f7,f6,f4,f9,f259,f434,f15,f260,f817,f810,f876,f889,f271,f927,f928,f930,f935,f916,f996,f963,f1008,f947,f1033,f1034,f915,f1095,f1069,f921,f1137,f1152,f1053,f1192,f1237,f1388,f1422,f1424,f1425,f1333,f1530,f32,f26,f38,f33,f27,f39,f34,f35,f37,f36,f2515,f2516,f2530,f2535,f50,f1420,f2762,f2774,f2842,f2789,f2879,f2799,f2800,f2802,f2803,f2838,f2888,f2900,f2920,f2921,f2922,f2923,f2912,f3010,f3013,f3014,f3015,f3016,f23,f25,f24,f22,f3018,f3012,f3059,f3060,f2889,f2925,f2792,f2785,f2776,f3063,f3065,f3066,f2804,f1231,f1215,f1184,f1396,f29,f31,f30,f28,f11,f16,f18,f19,f13,f12,f10,f439,f3244,f1395,f1380,f1379,f1534,f1533,f1054,f1046,f969,f968,f953,f952,f878,f875,f17]) ).

fof(f3279,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_contradiction_clause,[],[f3278]) ).

fof(f3278,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_3 ),
    inference(global_subsumption,[],[f1376,f1,f2,f5,f3,f69,f262,f43,f20,f21,f14,f8,f7,f6,f4,f9,f259,f434,f15,f260,f817,f810,f876,f889,f271,f927,f928,f930,f935,f916,f996,f963,f1008,f947,f1033,f1034,f915,f1095,f1069,f921,f1137,f1152,f1053,f1192,f1237,f1388,f1422,f1424,f1425,f1333,f1530,f32,f26,f38,f33,f27,f39,f34,f35,f37,f36,f2515,f2516,f2530,f2535,f50,f1420,f2762,f2774,f2842,f2789,f2879,f2799,f2800,f2802,f2803,f2838,f2888,f2900,f2920,f2921,f2922,f2923,f2912,f3010,f3013,f3014,f3015,f3016,f23,f25,f24,f22,f3018,f3012,f3059,f3060,f2889,f2925,f2792,f2785,f2776,f3063,f3065,f3066,f2804,f1231,f1215,f1184,f1396,f29,f31,f30,f28,f11,f17,f16,f18,f19,f13,f12,f10,f439,f3244,f1395,f1380,f1379,f1534,f1533,f1054,f1046,f969,f968,f953,f952,f878,f875]) ).

fof(f1376,plain,
    ( identity = inverse(identity)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1241,f414]) ).

fof(f1241,plain,
    ( identity = inverse(multiply(sk_c8,sk_c9))
    | ~ spl0_1 ),
    inference(superposition,[],[f1053,f413]) ).

fof(f3277,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_contradiction_clause,[],[f3276]) ).

fof(f3276,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_3 ),
    inference(global_subsumption,[],[f1392,f1,f2,f5,f3,f69,f262,f43,f20,f21,f14,f8,f7,f6,f4,f9,f259,f434,f15,f260,f817,f810,f876,f889,f271,f927,f928,f930,f935,f916,f996,f963,f1008,f947,f1033,f1034,f915,f1095,f1069,f921,f1137,f1152,f1053,f1192,f1237,f1388,f1422,f1424,f1425,f1333,f1530,f32,f26,f38,f33,f27,f39,f34,f35,f37,f36,f2515,f2516,f2530,f2535,f50,f1420,f2762,f2774,f2842,f2789,f2879,f2799,f2800,f2802,f2803,f2838,f2888,f2900,f2920,f2921,f2922,f2923,f2912,f3010,f3013,f3014,f3015,f3016,f23,f25,f24,f22,f3018,f3012,f3059,f3060,f2889,f2925,f2792,f2785,f2776,f3063,f3065,f3066,f2804,f1231,f1215,f1184,f1396,f29,f31,f30,f28,f11,f17,f16,f18,f19,f13,f12,f10,f439,f3244,f1395,f1380,f1379,f1534,f1533,f1054,f1046,f969,f968,f953,f952,f878,f875]) ).

fof(f1392,plain,
    ( identity = inverse(identity)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1257,f414]) ).

fof(f1257,plain,
    ( identity = inverse(multiply(sk_c8,sk_c9))
    | ~ spl0_1 ),
    inference(superposition,[],[f413,f1053]) ).

fof(f3275,plain,
    ( spl0_2
    | spl0_3 ),
    inference(avatar_contradiction_clause,[],[f3274]) ).

fof(f3274,plain,
    ( $false
    | spl0_2
    | spl0_3 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f69,f262,f43,f20,f21,f14,f8,f7,f6,f4,f9,f259,f434,f15,f260,f817,f810,f876,f889,f271,f927,f928,f930,f935,f916,f996,f963,f1008,f947,f1033,f1034,f915,f1095,f1069,f921,f1137,f1152,f1053,f1192,f1237,f1388,f1422,f1424,f1425,f1333,f1530,f32,f26,f38,f33,f27,f39,f34,f35,f37,f36,f2515,f2516,f2530,f2535,f50,f1420,f2762,f2774,f2842,f2789,f2879,f2799,f2800,f2802,f2803,f2838,f2888,f2900,f2920,f2921,f2922,f2923,f2912,f3010,f3013,f3014,f3015,f3016,f23,f25,f24,f22,f3018,f3012,f3059,f3060,f2889,f2925,f2792,f2785,f2776,f3063,f3065,f3066,f2804,f1231,f1215,f1184,f1396,f29,f31,f30,f28,f11,f17,f16,f18,f19,f13,f12,f10,f439,f3244,f1395,f1380,f1379,f1534,f1533,f1054,f1046,f969,f968,f953,f952,f878,f875]) ).

fof(f3273,plain,
    ( spl0_2
    | spl0_3 ),
    inference(avatar_contradiction_clause,[],[f3272]) ).

fof(f3272,plain,
    ( $false
    | spl0_2
    | spl0_3 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f69,f262,f43,f20,f21,f14,f8,f7,f6,f4,f9,f259,f434,f15,f260,f817,f810,f876,f889,f271,f927,f928,f930,f935,f916,f996,f963,f1008,f947,f1033,f1034,f915,f1095,f1069,f921,f1137,f1152,f1053,f1192,f1237,f1388,f1422,f1424,f1425,f1333,f1530,f32,f26,f38,f33,f27,f39,f34,f35,f37,f36,f2515,f2516,f2530,f2535,f50,f1420,f2762,f2774,f2842,f2789,f2879,f2799,f2800,f2802,f2803,f2838,f2888,f2900,f2920,f2921,f2922,f2923,f2912,f3010,f3013,f3014,f3015,f3016,f23,f25,f24,f22,f3018,f3012,f3059,f3060,f2889,f2925,f2792,f2785,f2776,f3063,f3065,f3066,f2804,f1231,f1215,f1184,f1396,f875,f29,f31,f30,f28,f11,f17,f16,f18,f19,f13,f12,f10,f439,f3244,f1395,f1380,f1379,f1534,f1533,f1054,f1046,f969,f968,f953,f952,f878]) ).

fof(f3271,plain,
    ( spl0_2
    | spl0_3 ),
    inference(avatar_contradiction_clause,[],[f3270]) ).

fof(f3270,plain,
    ( $false
    | spl0_2
    | spl0_3 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f69,f262,f43,f20,f21,f14,f8,f7,f6,f4,f9,f259,f434,f15,f260,f817,f810,f876,f889,f271,f927,f928,f930,f935,f916,f996,f963,f1008,f947,f1033,f1034,f915,f1095,f1069,f921,f1137,f1152,f1053,f1192,f1237,f1388,f1422,f1424,f1425,f1333,f1530,f32,f26,f38,f33,f27,f39,f34,f35,f37,f36,f2515,f2516,f2530,f2535,f50,f1420,f2762,f2774,f2842,f2789,f2879,f2799,f2800,f2802,f2803,f2838,f2888,f2900,f2920,f2921,f2922,f2923,f2912,f3010,f3013,f3014,f3015,f3016,f23,f25,f24,f22,f3018,f3012,f3059,f3060,f2889,f2925,f2792,f2785,f2776,f3063,f3065,f3066,f2804,f1231,f1215,f1184,f1396,f878,f875,f29,f31,f30,f28,f11,f17,f16,f18,f19,f13,f12,f10,f439,f3244,f1395,f1380,f1379,f1534,f1533,f1054,f1046,f969,f968,f953,f952]) ).

fof(f3269,plain,
    ( spl0_2
    | spl0_3 ),
    inference(avatar_contradiction_clause,[],[f3268]) ).

fof(f3268,plain,
    ( $false
    | spl0_2
    | spl0_3 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f69,f262,f43,f20,f21,f14,f8,f7,f6,f4,f9,f259,f434,f15,f260,f817,f810,f876,f889,f271,f927,f928,f930,f935,f916,f996,f963,f1008,f947,f1033,f1034,f915,f1095,f1069,f921,f1137,f1152,f1053,f1192,f1237,f1388,f1422,f1424,f1425,f1333,f1530,f32,f26,f38,f33,f27,f39,f34,f35,f37,f36,f2515,f2516,f2530,f2535,f50,f1420,f2762,f2774,f2842,f2789,f2879,f2799,f2800,f2802,f2803,f2838,f2888,f2900,f2920,f2921,f2922,f2923,f2912,f3010,f3013,f3014,f3015,f3016,f23,f25,f24,f22,f3018,f3012,f3059,f3060,f2889,f2925,f2792,f2785,f2776,f3063,f3065,f3066,f2804,f1231,f1215,f1184,f1396,f952,f878,f875,f29,f31,f30,f28,f11,f17,f16,f18,f19,f13,f12,f10,f439,f3244,f1395,f1380,f1379,f1534,f1533,f1054,f1046,f969,f968,f953]) ).

fof(f3267,plain,
    ( spl0_2
    | spl0_3 ),
    inference(avatar_contradiction_clause,[],[f3266]) ).

fof(f3266,plain,
    ( $false
    | spl0_2
    | spl0_3 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f69,f262,f43,f20,f21,f14,f8,f7,f6,f4,f9,f259,f434,f15,f260,f817,f810,f876,f889,f271,f927,f928,f930,f935,f916,f996,f963,f1008,f947,f1033,f1034,f915,f1095,f1069,f921,f1137,f1152,f1053,f1192,f1237,f1388,f1422,f1424,f1425,f1333,f1530,f32,f26,f38,f33,f27,f39,f34,f35,f37,f36,f2515,f2516,f2530,f2535,f50,f1420,f2762,f2774,f2842,f2789,f2879,f2799,f2800,f2802,f2803,f2838,f2888,f2900,f2920,f2921,f2922,f2923,f2912,f3010,f3013,f3014,f3015,f3016,f23,f25,f24,f22,f3018,f3012,f3059,f3060,f2889,f2925,f2792,f2785,f2776,f3063,f3065,f3066,f2804,f1231,f1215,f1184,f1396,f953,f952,f878,f875,f29,f31,f30,f28,f11,f17,f16,f18,f19,f13,f12,f10,f439,f3244,f1395,f1380,f1379,f1534,f1533,f1054,f1046,f969,f968]) ).

fof(f3265,plain,
    ( spl0_2
    | spl0_3 ),
    inference(avatar_contradiction_clause,[],[f3264]) ).

fof(f3264,plain,
    ( $false
    | spl0_2
    | spl0_3 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f69,f262,f43,f20,f21,f14,f8,f7,f6,f4,f9,f259,f434,f15,f260,f817,f810,f876,f889,f271,f927,f928,f930,f935,f916,f996,f963,f1008,f947,f1033,f1034,f915,f1095,f1069,f921,f1137,f1152,f1053,f1192,f1237,f1388,f1422,f1424,f1425,f1333,f1530,f32,f26,f38,f33,f27,f39,f34,f35,f37,f36,f2515,f2516,f2530,f2535,f50,f1420,f2762,f2774,f2842,f2789,f2879,f2799,f2800,f2802,f2803,f2838,f2888,f2900,f2920,f2921,f2922,f2923,f2912,f3010,f3013,f3014,f3015,f3016,f23,f25,f24,f22,f3018,f3012,f3059,f3060,f2889,f2925,f2792,f2785,f2776,f3063,f3065,f3066,f2804,f1231,f1215,f1184,f1396,f968,f953,f952,f878,f875,f29,f31,f30,f28,f11,f17,f16,f18,f19,f13,f12,f10,f439,f3244,f1395,f1380,f1379,f1534,f1533,f1054,f1046,f969]) ).

fof(f3263,plain,
    ( spl0_2
    | spl0_3 ),
    inference(avatar_contradiction_clause,[],[f3262]) ).

fof(f3262,plain,
    ( $false
    | spl0_2
    | spl0_3 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f69,f262,f43,f20,f21,f14,f8,f7,f6,f4,f9,f259,f434,f15,f260,f817,f810,f876,f889,f271,f927,f928,f930,f935,f916,f996,f963,f1008,f947,f1033,f1034,f915,f1095,f1069,f921,f1137,f1152,f1053,f1192,f1237,f1388,f1422,f1424,f1425,f1333,f1530,f32,f26,f38,f33,f27,f39,f34,f35,f37,f36,f2515,f2516,f2530,f2535,f50,f1420,f2762,f2774,f2842,f2789,f2879,f2799,f2800,f2802,f2803,f2838,f2888,f2900,f2920,f2921,f2922,f2923,f2912,f3010,f3013,f3014,f3015,f3016,f23,f25,f24,f22,f3018,f3012,f3059,f3060,f2889,f2925,f2792,f2785,f2776,f3063,f3065,f3066,f2804,f1231,f1215,f1184,f1396,f969,f968,f953,f952,f878,f875,f29,f31,f30,f28,f11,f17,f16,f18,f19,f13,f12,f10,f439,f3244,f1395,f1380,f1379,f1534,f1533,f1054,f1046]) ).

fof(f3261,plain,
    ( spl0_2
    | spl0_3 ),
    inference(avatar_contradiction_clause,[],[f3260]) ).

fof(f3260,plain,
    ( $false
    | spl0_2
    | spl0_3 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f69,f262,f43,f20,f21,f14,f8,f7,f6,f4,f9,f259,f434,f15,f260,f817,f810,f876,f889,f271,f927,f928,f930,f935,f916,f996,f963,f1008,f947,f1033,f1034,f915,f1095,f1069,f921,f1137,f1152,f1053,f1192,f1237,f1388,f1422,f1424,f1425,f1333,f1530,f32,f26,f38,f33,f27,f39,f34,f35,f37,f36,f2515,f2516,f2530,f2535,f50,f1420,f2762,f2774,f2842,f2789,f2879,f2799,f2800,f2802,f2803,f2838,f2888,f2900,f2920,f2921,f2922,f2923,f2912,f3010,f3013,f3014,f3015,f3016,f23,f25,f24,f22,f3018,f3012,f3059,f3060,f2889,f2925,f2792,f2785,f2776,f3063,f3065,f3066,f2804,f1231,f1215,f1184,f1396,f1046,f969,f968,f953,f952,f878,f875,f29,f31,f30,f28,f11,f17,f16,f18,f19,f13,f12,f10,f439,f3244,f1395,f1380,f1379,f1534,f1533,f1054]) ).

fof(f3259,plain,
    ( spl0_2
    | spl0_3 ),
    inference(avatar_contradiction_clause,[],[f3258]) ).

fof(f3258,plain,
    ( $false
    | spl0_2
    | spl0_3 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f69,f262,f43,f20,f21,f14,f8,f7,f6,f4,f9,f259,f434,f15,f260,f817,f810,f876,f889,f271,f927,f928,f930,f935,f916,f996,f963,f1008,f947,f1033,f1034,f915,f1095,f1069,f921,f1137,f1152,f1053,f1192,f1237,f1388,f1422,f1424,f1425,f1333,f1530,f32,f26,f38,f33,f27,f39,f34,f35,f37,f36,f2515,f2516,f2530,f2535,f50,f1420,f2762,f2774,f2842,f2789,f2879,f2799,f2800,f2802,f2803,f2838,f2888,f2900,f2920,f2921,f2922,f2923,f2912,f3010,f3013,f3014,f3015,f3016,f23,f25,f24,f22,f3018,f3012,f3059,f3060,f2889,f2925,f2792,f2785,f2776,f3063,f3065,f3066,f2804,f1231,f1215,f1184,f1396,f1054,f1046,f969,f968,f953,f952,f878,f875,f29,f31,f30,f28,f11,f17,f16,f18,f19,f13,f12,f10,f439,f3244,f1395,f1380,f1379,f1534,f1533]) ).

fof(f3257,plain,
    ( spl0_2
    | spl0_3 ),
    inference(avatar_contradiction_clause,[],[f3256]) ).

fof(f3256,plain,
    ( $false
    | spl0_2
    | spl0_3 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f69,f262,f43,f20,f21,f14,f8,f7,f6,f4,f9,f259,f434,f15,f260,f817,f810,f876,f889,f271,f927,f928,f930,f935,f916,f996,f963,f1008,f947,f1033,f1034,f915,f1095,f1069,f921,f1137,f1152,f1053,f1192,f1237,f1388,f1422,f1424,f1425,f1333,f1530,f32,f26,f38,f33,f27,f39,f34,f35,f37,f36,f2515,f2516,f2530,f2535,f50,f1420,f2762,f2774,f2842,f2789,f2879,f2799,f2800,f2802,f2803,f2838,f2888,f2900,f2920,f2921,f2922,f2923,f2912,f3010,f3013,f3014,f3015,f3016,f23,f25,f24,f22,f3018,f3012,f3059,f3060,f2889,f2925,f2792,f2785,f2776,f3063,f3065,f3066,f2804,f1231,f1215,f1184,f1396,f1533,f1054,f1046,f969,f968,f953,f952,f878,f875,f29,f31,f30,f28,f11,f17,f16,f18,f19,f13,f12,f10,f439,f3244,f1395,f1380,f1379,f1534]) ).

fof(f3255,plain,
    ( spl0_2
    | spl0_3 ),
    inference(avatar_contradiction_clause,[],[f3254]) ).

fof(f3254,plain,
    ( $false
    | spl0_2
    | spl0_3 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f69,f262,f43,f20,f21,f14,f8,f7,f6,f4,f9,f259,f434,f15,f260,f817,f810,f876,f889,f271,f927,f928,f930,f935,f916,f996,f963,f1008,f947,f1033,f1034,f915,f1095,f1069,f921,f1137,f1152,f1053,f1192,f1237,f1388,f1422,f1424,f1425,f1333,f1530,f32,f26,f38,f33,f27,f39,f34,f35,f37,f36,f2515,f2516,f2530,f2535,f50,f1420,f2762,f2774,f2842,f2789,f2879,f2799,f2800,f2802,f2803,f2838,f2888,f2900,f2920,f2921,f2922,f2923,f2912,f3010,f3013,f3014,f3015,f3016,f23,f25,f24,f22,f3018,f3012,f3059,f3060,f2889,f2925,f2792,f2785,f2776,f3063,f3065,f3066,f2804,f1231,f1215,f1184,f1396,f1534,f1533,f1054,f1046,f969,f968,f953,f952,f878,f875,f29,f31,f30,f28,f11,f17,f16,f18,f19,f13,f12,f10,f439,f3244,f1395,f1380,f1379]) ).

fof(f3253,plain,
    ( spl0_2
    | spl0_3 ),
    inference(avatar_contradiction_clause,[],[f3252]) ).

fof(f3252,plain,
    ( $false
    | spl0_2
    | spl0_3 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f69,f262,f43,f20,f21,f14,f8,f7,f6,f4,f9,f259,f434,f15,f260,f817,f810,f876,f889,f271,f927,f928,f930,f935,f916,f996,f963,f1008,f947,f1033,f1034,f915,f1095,f1069,f921,f1137,f1152,f1053,f1192,f1237,f1388,f1422,f1424,f1425,f1333,f1530,f32,f26,f38,f33,f27,f39,f34,f35,f37,f36,f2515,f2516,f2530,f2535,f50,f1420,f2762,f2774,f2842,f2789,f2879,f2799,f2800,f2802,f2803,f2838,f2888,f2900,f2920,f2921,f2922,f2923,f2912,f3010,f3013,f3014,f3015,f3016,f23,f25,f24,f22,f3018,f3012,f3059,f3060,f2889,f2925,f2792,f2785,f2776,f3063,f3065,f3066,f2804,f1231,f1215,f1184,f1396,f1379,f1534,f1533,f1054,f1046,f969,f968,f953,f952,f878,f875,f29,f31,f30,f28,f11,f17,f16,f18,f19,f13,f12,f10,f439,f3244,f1395,f1380]) ).

fof(f3251,plain,
    ( spl0_2
    | spl0_3 ),
    inference(avatar_contradiction_clause,[],[f3250]) ).

fof(f3250,plain,
    ( $false
    | spl0_2
    | spl0_3 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f69,f262,f43,f20,f21,f14,f8,f7,f6,f4,f9,f259,f434,f15,f260,f817,f810,f876,f889,f271,f927,f928,f930,f935,f916,f996,f963,f1008,f947,f1033,f1034,f915,f1095,f1069,f921,f1137,f1152,f1053,f1192,f1237,f1388,f1422,f1424,f1425,f1333,f1530,f32,f26,f38,f33,f27,f39,f34,f35,f37,f36,f2515,f2516,f2530,f2535,f50,f1420,f2762,f2774,f2842,f2789,f2879,f2799,f2800,f2802,f2803,f2838,f2888,f2900,f2920,f2921,f2922,f2923,f2912,f3010,f3013,f3014,f3015,f3016,f23,f25,f24,f22,f3018,f3012,f3059,f3060,f2889,f2925,f2792,f2785,f2776,f3063,f3065,f3066,f2804,f1231,f1215,f1184,f1396,f1380,f1379,f1534,f1533,f1054,f1046,f969,f968,f953,f952,f878,f875,f29,f31,f30,f28,f11,f17,f16,f18,f19,f13,f12,f10,f439,f3244,f1395]) ).

fof(f3249,plain,
    ( spl0_2
    | spl0_3 ),
    inference(avatar_contradiction_clause,[],[f3248]) ).

fof(f3248,plain,
    ( $false
    | spl0_2
    | spl0_3 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f69,f262,f43,f20,f21,f14,f8,f7,f6,f4,f9,f259,f434,f15,f260,f817,f810,f876,f889,f271,f927,f928,f930,f935,f916,f996,f963,f1008,f947,f1033,f1034,f915,f1095,f1069,f921,f1137,f1152,f1053,f1192,f1237,f1388,f1422,f1424,f1425,f1333,f1530,f32,f26,f38,f33,f27,f39,f34,f35,f37,f36,f2515,f2516,f2530,f2535,f50,f1420,f2762,f2774,f2842,f2789,f2879,f2799,f2800,f2802,f2803,f2838,f2888,f2900,f2920,f2921,f2922,f2923,f2912,f3010,f3013,f3014,f3015,f3016,f23,f25,f24,f22,f3018,f3012,f3059,f3060,f2889,f2925,f2792,f2785,f2776,f3063,f3065,f3066,f2804,f1231,f1215,f1184,f1396,f1395,f1380,f1379,f1534,f1533,f1054,f1046,f969,f968,f953,f952,f878,f875,f29,f31,f30,f28,f11,f17,f16,f18,f19,f13,f12,f10,f439,f3244]) ).

fof(f3247,plain,
    ( ~ spl0_2
    | spl0_3
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3246]) ).

fof(f3246,plain,
    ( $false
    | ~ spl0_2
    | spl0_3
    | spl0_9 ),
    inference(subsumption_resolution,[],[f3245,f1584]) ).

fof(f1584,plain,
    ( identity != sk_c9
    | spl0_9 ),
    inference(avatar_component_clause,[],[f1583]) ).

fof(f3245,plain,
    ( identity = sk_c9
    | ~ spl0_2
    | spl0_3 ),
    inference(forward_demodulation,[],[f3244,f3096]) ).

fof(f3096,plain,
    ( identity = multiply(sk_c4,sk_c5)
    | ~ spl0_2 ),
    inference(superposition,[],[f915,f51]) ).

fof(f3052,plain,
    ( spl0_6
    | spl0_5
    | spl0_7
    | spl0_7
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f2741,f1583,f1579,f438,f49,f45,f1511,f1511,f1505,f1508]) ).

fof(f2741,plain,
    ( ! [X3,X6,X9,X5] :
        ( identity != multiply(identity,X9)
        | identity != multiply(identity,X5)
        | identity != multiply(inverse(X6),identity)
        | identity != multiply(X3,identity)
        | identity != inverse(X9)
        | identity != inverse(X3)
        | identity != inverse(X5) )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2740,f1585]) ).

fof(f2740,plain,
    ( ! [X3,X6,X9,X5] :
        ( identity != multiply(identity,X5)
        | identity != multiply(inverse(X6),identity)
        | identity != multiply(X3,identity)
        | sk_c9 != multiply(identity,X9)
        | identity != inverse(X9)
        | identity != inverse(X3)
        | identity != inverse(X5) )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2739,f1585]) ).

fof(f2739,plain,
    ( ! [X3,X6,X9,X5] :
        ( identity != multiply(inverse(X6),identity)
        | identity != multiply(X3,identity)
        | sk_c9 != multiply(identity,X5)
        | sk_c9 != multiply(identity,X9)
        | identity != inverse(X9)
        | identity != inverse(X3)
        | identity != inverse(X5) )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2738,f1585]) ).

fof(f2738,plain,
    ( ! [X3,X6,X9,X5] :
        ( identity != multiply(X3,identity)
        | identity != multiply(inverse(X6),sk_c9)
        | sk_c9 != multiply(identity,X5)
        | sk_c9 != multiply(identity,X9)
        | identity != inverse(X9)
        | identity != inverse(X3)
        | identity != inverse(X5) )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2620,f1585]) ).

fof(f2620,plain,
    ( ! [X3,X6,X9,X5] :
        ( identity != multiply(X3,sk_c9)
        | identity != multiply(inverse(X6),sk_c9)
        | sk_c9 != multiply(identity,X5)
        | sk_c9 != multiply(identity,X9)
        | identity != inverse(X9)
        | identity != inverse(X3)
        | identity != inverse(X5) )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f11,f17,f1,f2,f5,f3,f69,f262,f43,f20,f19,f18,f16,f21,f14,f13,f12,f10,f8,f7,f6,f4,f9,f47,f414,f417,f415,f413,f424,f421,f430,f432,f259,f434,f15,f440,f447,f448,f452,f451,f453,f458,f446,f459,f462,f455,f481,f456,f483,f486,f478,f488,f423,f523,f524,f519,f533,f530,f536,f535,f543,f260,f817,f810,f876,f889,f271,f927,f928,f930,f935,f916,f996,f963,f1008,f947,f1033,f1034,f915,f1095,f1069,f921,f1137,f1152,f1053,f1192,f1237,f1388,f1420,f1422,f1424,f1425,f1231,f1215,f1333,f1530,f1184,f1535,f32,f26,f1543,f38,f33,f27,f1551,f39,f34,f28,f29,f35,f1585,f1600,f1593,f1601,f1602,f1603,f1597,f1599,f1591,f1614,f1615,f1623,f1627,f1620,f1621,f1622,f1538,f31,f30,f37,f36,f1520,f1518,f1517,f1581,f2425,f2426,f2438,f2439,f2430,f2431,f2440,f2437,f1216,f1219,f1354,f1521,f1527,f22,f2515,f24,f2516,f2519,f2521,f2523,f1544,f2527,f1546,f2528,f1587,f2529,f25,f2530,f1588,f2531,f2533,f1396,f1395,f1380,f1379,f1534,f1533,f1054,f1046,f969,f968,f953,f952,f878,f875,f23,f2535,f1392,f1391,f1390,f1376,f1375,f2534,f50,f1374,f2549,f2550,f2551,f2564,f2569,f2558,f2559,f2561,f2566,f2572,f2573,f2577,f2571,f2580,f2581,f2591,f2585,f2586,f2597,f2598,f2599,f2602,f2619]) ).

fof(f2619,plain,
    ( ! [X3,X6,X9,X5] :
        ( identity != multiply(X3,sk_c9)
        | identity != multiply(inverse(X6),sk_c9)
        | sk_c9 != multiply(identity,X5)
        | sk_c9 != multiply(identity,X9)
        | identity != sk_c9
        | identity != inverse(X9)
        | identity != inverse(X3)
        | identity != inverse(X5) )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2618,f2549]) ).

fof(f2618,plain,
    ( ! [X3,X6,X9,X5] :
        ( identity != multiply(inverse(X6),sk_c9)
        | sk_c9 != multiply(identity,X5)
        | sk_c9 != multiply(identity,X9)
        | identity != sk_c9
        | identity != inverse(X9)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != multiply(X3,sk_c8) )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2617,f2549]) ).

fof(f2617,plain,
    ( ! [X3,X6,X9,X5] :
        ( sk_c9 != multiply(identity,X5)
        | sk_c9 != multiply(identity,X9)
        | identity != sk_c9
        | identity != inverse(X9)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != multiply(inverse(X6),sk_c8)
        | identity != multiply(X3,sk_c8) )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2616,f2549]) ).

fof(f2616,plain,
    ( ! [X3,X6,X9,X5] :
        ( sk_c9 != multiply(identity,X9)
        | sk_c8 != multiply(identity,X5)
        | identity != sk_c9
        | identity != inverse(X9)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != multiply(inverse(X6),sk_c8)
        | identity != multiply(X3,sk_c8) )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1538,f2549]) ).

fof(f2602,plain,
    ( sk_c9 = multiply(sk_c9,sk_c9)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2531,f2549]) ).

fof(f2599,plain,
    ( sk_c9 = multiply(sk_c9,sk_c9)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2529,f2549]) ).

fof(f2598,plain,
    ( sk_c9 = multiply(sk_c9,sk_c9)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2528,f2549]) ).

fof(f2597,plain,
    ( sk_c9 = multiply(sk_c9,sk_c9)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2527,f2549]) ).

fof(f2586,plain,
    ( ! [X0] : multiply(sk_c9,multiply(sk_c9,X0)) = X0
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f921,f2571]) ).

fof(f2585,plain,
    ( identity = multiply(sk_c9,sk_c9)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f915,f2571]) ).

fof(f2591,plain,
    ( identity = multiply(sk_c9,sk_c9)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2584,f947]) ).

fof(f2584,plain,
    ( identity = multiply(inverse(inverse(sk_c9)),sk_c9)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f810,f2571]) ).

fof(f2581,plain,
    ( ! [X0] : multiply(sk_c9,multiply(sk_c9,X0)) = X0
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f69,f2571]) ).

fof(f2580,plain,
    ( identity = multiply(sk_c9,sk_c9)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f2,f2571]) ).

fof(f2571,plain,
    ( sk_c9 = inverse(sk_c9)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f440,f2566]) ).

fof(f2577,plain,
    ( identity = multiply(sk_c9,sk_c9)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2574,f543]) ).

fof(f2574,plain,
    ( identity = multiply(inverse(sk_c8),sk_c9)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f453,f2566]) ).

fof(f2573,plain,
    ( identity = multiply(sk_c9,sk_c9)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f447,f2566]) ).

fof(f2572,plain,
    ( ! [X0] : multiply(sk_c9,multiply(sk_c9,X0)) = X0
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f446,f2566]) ).

fof(f2566,plain,
    ( sk_c9 = sk_c1
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2555,f488]) ).

fof(f2555,plain,
    ( sk_c1 = multiply(sk_c9,identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f451,f2549]) ).

fof(f2561,plain,
    ( sk_c9 = inverse(sk_c9)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f543,f2549]) ).

fof(f2559,plain,
    ( identity = multiply(sk_c9,sk_c9)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f519,f2549]) ).

fof(f2558,plain,
    ( ! [X0] : multiply(sk_c9,multiply(sk_c9,X0)) = X0
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f478,f2549]) ).

fof(f2569,plain,
    ( sk_c9 = sk_c1
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2557,f260]) ).

fof(f2557,plain,
    ( sk_c1 = multiply(inverse(inverse(sk_c9)),identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f456,f2549]) ).

fof(f2564,plain,
    ( identity = multiply(sk_c9,sk_c9)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2553,f947]) ).

fof(f2553,plain,
    ( identity = multiply(inverse(inverse(sk_c9)),sk_c9)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f421,f2549]) ).

fof(f2551,plain,
    ( identity = multiply(sk_c9,sk_c9)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f414,f2549]) ).

fof(f2550,plain,
    ( ! [X0] : multiply(sk_c9,multiply(sk_c9,X0)) = X0
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f413,f2549]) ).

fof(f2549,plain,
    ( sk_c9 = sk_c8
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2548,f488]) ).

fof(f2548,plain,
    ( sk_c8 = multiply(sk_c9,identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2515,f2534]) ).

fof(f1374,plain,
    ( identity = inverse(identity)
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f1239,f447]) ).

fof(f1239,plain,
    ( identity = inverse(multiply(sk_c9,sk_c1))
    | ~ spl0_3 ),
    inference(superposition,[],[f1053,f446]) ).

fof(f2534,plain,
    ( identity = sk_c3
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f11,f17,f1,f2,f5,f3,f69,f262,f43,f20,f19,f18,f16,f21,f14,f13,f12,f10,f8,f7,f6,f4,f9,f47,f414,f417,f415,f413,f424,f421,f430,f432,f259,f434,f15,f440,f447,f448,f452,f451,f453,f458,f446,f459,f462,f455,f481,f456,f483,f486,f478,f488,f423,f523,f524,f519,f533,f530,f536,f535,f543,f260,f817,f810,f876,f889,f271,f927,f928,f930,f935,f916,f996,f963,f1008,f947,f1033,f1034,f915,f1095,f1069,f921,f1137,f1152,f1053,f1192,f1237,f1388,f1420,f1422,f1424,f1425,f1396,f1395,f1392,f1391,f1380,f1379,f1231,f1215,f1333,f1530,f1184,f1054,f1046,f1533,f969,f968,f1534,f953,f952,f1535,f878,f875,f32,f26,f1543,f38,f33,f27,f1551,f39,f1390,f1376,f1375,f1374,f34,f28,f29,f23,f35,f50,f1538,f31,f30,f37,f36,f1520,f1518,f1517,f1581,f2425,f2426,f2438,f2439,f2430,f2431,f2440,f2437,f1216,f1219,f1354,f1521,f1527,f22,f2515,f24,f2516,f2519,f2521,f2523,f1544,f2527,f1546,f2528,f1587,f2529,f25,f2530,f1588,f2531,f2533]) ).

fof(f1375,plain,
    ( identity = inverse(identity)
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f1240,f519]) ).

fof(f1240,plain,
    ( identity = inverse(multiply(sk_c9,sk_c8))
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(superposition,[],[f1053,f478]) ).

fof(f1390,plain,
    ( identity = inverse(identity)
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f1255,f447]) ).

fof(f1255,plain,
    ( identity = inverse(multiply(sk_c9,sk_c1))
    | ~ spl0_3 ),
    inference(superposition,[],[f446,f1053]) ).

fof(f1391,plain,
    ( identity = inverse(identity)
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f1256,f519]) ).

fof(f1256,plain,
    ( identity = inverse(multiply(sk_c9,sk_c8))
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(superposition,[],[f478,f1053]) ).

fof(f2533,plain,
    ( identity = sk_c3
    | sk_c5 = inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2532,f414]) ).

fof(f2532,plain,
    ( sk_c3 = multiply(sk_c8,sk_c9)
    | sk_c5 = inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f29,f2437]) ).

fof(f2531,plain,
    ( sk_c9 = multiply(sk_c8,sk_c8)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3 ),
    inference(global_subsumption,[],[f11,f17,f1,f2,f5,f3,f69,f262,f43,f20,f19,f18,f16,f21,f14,f13,f12,f10,f8,f7,f6,f4,f9,f47,f414,f417,f415,f413,f424,f421,f430,f432,f259,f434,f15,f440,f447,f448,f452,f451,f453,f458,f446,f459,f462,f455,f481,f456,f483,f486,f478,f488,f423,f523,f524,f519,f533,f530,f536,f535,f543,f260,f817,f810,f876,f889,f271,f927,f928,f930,f935,f916,f996,f963,f1008,f947,f1033,f1034,f915,f1095,f1069,f921,f1137,f1152,f1053,f1192,f1237,f1388,f1420,f1422,f1424,f1425,f1396,f1395,f1392,f1391,f1380,f1379,f1231,f1215,f1333,f1530,f1184,f1054,f1046,f1533,f969,f968,f1534,f953,f952,f1535,f878,f875,f32,f26,f1543,f38,f33,f27,f1551,f39,f1390,f1376,f1375,f1374,f34,f28,f29,f23,f35,f50,f1538,f31,f30,f37,f36,f1520,f1518,f1517,f1216,f1219,f1354,f1521,f1527,f22,f2515,f24,f2516,f1544,f2527,f1546,f2528,f1587,f2529,f25,f2530,f1588]) ).

fof(f1588,plain,
    ( sk_c9 = multiply(sk_c8,sk_c8)
    | sk_c5 = inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f17,f535]) ).

fof(f2529,plain,
    ( sk_c9 = multiply(sk_c8,sk_c8)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3 ),
    inference(global_subsumption,[],[f11,f17,f1,f2,f5,f3,f69,f262,f43,f20,f19,f18,f16,f21,f14,f13,f12,f10,f8,f7,f6,f4,f9,f47,f414,f417,f415,f413,f424,f421,f430,f432,f259,f434,f15,f440,f447,f448,f452,f451,f453,f458,f446,f459,f462,f455,f481,f456,f483,f486,f478,f488,f423,f523,f524,f519,f533,f530,f536,f535,f543,f260,f817,f810,f876,f889,f271,f927,f928,f930,f935,f916,f996,f963,f1008,f947,f1033,f1034,f915,f1095,f1069,f921,f1137,f1152,f1053,f1192,f1237,f1388,f1420,f1422,f1424,f1425,f1396,f1395,f1392,f1391,f1380,f1379,f1231,f1215,f1333,f1530,f1184,f1054,f1046,f1533,f969,f968,f1534,f953,f952,f1535,f878,f875,f32,f26,f1543,f38,f33,f27,f1551,f39,f1390,f1376,f1375,f1374,f34,f28,f29,f23,f1588,f35,f50,f25,f1538,f31,f30,f37,f36,f1520,f1518,f1517,f1216,f1219,f1354,f1521,f1527,f22,f2515,f24,f2516,f1544,f2527,f1546,f2528,f1587]) ).

fof(f1587,plain,
    ( sk_c9 = multiply(sk_c8,sk_c8)
    | sk_c9 = multiply(sk_c4,sk_c5)
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f16,f535]) ).

fof(f2528,plain,
    ( sk_c9 = multiply(sk_c8,sk_c8)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3 ),
    inference(global_subsumption,[],[f11,f17,f1,f2,f5,f3,f69,f262,f43,f20,f19,f18,f16,f21,f14,f13,f12,f10,f8,f7,f6,f4,f9,f47,f414,f417,f415,f413,f424,f421,f430,f432,f259,f434,f15,f440,f447,f448,f452,f451,f453,f458,f446,f459,f462,f455,f481,f456,f483,f486,f478,f488,f423,f523,f524,f519,f533,f530,f536,f535,f543,f260,f817,f810,f876,f889,f271,f927,f928,f930,f935,f916,f996,f963,f1008,f947,f1033,f1034,f915,f1095,f1069,f921,f1137,f1152,f1053,f1192,f1237,f1388,f1420,f1422,f1424,f1425,f1396,f1395,f1392,f1391,f1380,f1379,f1231,f1215,f1333,f1530,f1184,f1054,f1046,f1533,f969,f968,f1534,f953,f952,f1535,f878,f875,f32,f26,f1543,f38,f33,f27,f1551,f39,f1390,f1376,f1375,f1374,f34,f28,f1587,f29,f23,f1588,f35,f50,f25,f1538,f31,f30,f37,f36,f1520,f1518,f1517,f1216,f1219,f1354,f1521,f1527,f22,f2515,f24,f2516,f1544,f2527,f1546]) ).

fof(f1546,plain,
    ( sk_c9 = multiply(sk_c8,sk_c8)
    | sk_c9 = multiply(sk_c5,sk_c8)
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f18,f535]) ).

fof(f2527,plain,
    ( sk_c9 = multiply(sk_c8,sk_c8)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3 ),
    inference(global_subsumption,[],[f11,f17,f1,f2,f5,f3,f69,f262,f43,f20,f19,f18,f16,f21,f14,f13,f12,f10,f8,f7,f6,f4,f9,f47,f414,f417,f415,f413,f424,f421,f430,f432,f259,f434,f15,f440,f447,f448,f452,f451,f453,f458,f446,f459,f462,f455,f481,f456,f483,f486,f478,f488,f423,f523,f524,f519,f533,f530,f536,f535,f543,f260,f817,f810,f876,f889,f271,f927,f928,f930,f935,f916,f996,f963,f1008,f947,f1033,f1034,f915,f1095,f1069,f921,f1137,f1152,f1053,f1192,f1237,f1388,f1420,f1422,f1424,f1425,f1396,f1395,f1392,f1391,f1380,f1379,f1231,f1215,f1333,f1530,f1184,f1054,f1046,f1533,f969,f968,f1534,f953,f952,f1535,f878,f875,f32,f26,f1543,f38,f33,f27,f1551,f39,f1390,f1376,f1375,f1374,f34,f28,f1587,f29,f23,f1588,f35,f50,f25,f1538,f1546,f31,f30,f37,f36,f1520,f1518,f1517,f1216,f1219,f1354,f1521,f1527,f22,f2515,f24,f2516,f1544]) ).

fof(f1544,plain,
    ( sk_c9 = multiply(sk_c8,sk_c8)
    | sk_c8 = multiply(sk_c9,sk_c7)
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f19,f535]) ).

fof(f2523,plain,
    ( identity = sk_c3
    | sk_c8 = multiply(sk_c9,sk_c7)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2522,f414]) ).

fof(f2522,plain,
    ( sk_c3 = multiply(sk_c8,sk_c9)
    | sk_c8 = multiply(sk_c9,sk_c7)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f31,f2437]) ).

fof(f2521,plain,
    ( identity = sk_c3
    | sk_c9 = multiply(sk_c5,sk_c8)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2520,f414]) ).

fof(f2520,plain,
    ( sk_c3 = multiply(sk_c8,sk_c9)
    | sk_c9 = multiply(sk_c5,sk_c8)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f30,f2437]) ).

fof(f2519,plain,
    ( identity = sk_c3
    | sk_c9 = multiply(sk_c4,sk_c5)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2518,f414]) ).

fof(f2518,plain,
    ( sk_c3 = multiply(sk_c8,sk_c9)
    | sk_c9 = multiply(sk_c4,sk_c5)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f28,f2437]) ).

fof(f1527,plain,
    ( identity = multiply(sk_c8,multiply(sk_c9,inverse(identity)))
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1217,f947]) ).

fof(f1217,plain,
    ( identity = multiply(inverse(inverse(sk_c8)),multiply(sk_c9,inverse(identity)))
    | ~ spl0_1 ),
    inference(superposition,[],[f1053,f421]) ).

fof(f1521,plain,
    ( identity = multiply(sk_c9,multiply(sk_c8,inverse(identity)))
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f1356,f543]) ).

fof(f1356,plain,
    ( identity = multiply(inverse(sk_c8),multiply(sk_c8,inverse(identity)))
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f1227,f455]) ).

fof(f1227,plain,
    ( identity = multiply(inverse(sk_c8),multiply(sk_c1,inverse(identity)))
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(superposition,[],[f1053,f453]) ).

fof(f1354,plain,
    ( identity = multiply(sk_c9,multiply(sk_c8,inverse(identity)))
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f1226,f455]) ).

fof(f1226,plain,
    ( identity = multiply(sk_c9,multiply(sk_c1,inverse(identity)))
    | ~ spl0_3 ),
    inference(superposition,[],[f1053,f447]) ).

fof(f1219,plain,
    ( identity = multiply(sk_c9,multiply(sk_c8,inverse(identity)))
    | ~ spl0_1 ),
    inference(superposition,[],[f1053,f519]) ).

fof(f1216,plain,
    ( identity = multiply(sk_c8,multiply(sk_c9,inverse(identity)))
    | ~ spl0_1 ),
    inference(superposition,[],[f1053,f414]) ).

fof(f2437,plain,
    ( sk_c8 = sk_c2
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2436,f535]) ).

fof(f2436,plain,
    ( sk_c1 = sk_c2
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2435,f451]) ).

fof(f2440,plain,
    ( sk_c8 = sk_c2
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2432,f47]) ).

fof(f2432,plain,
    ( inverse(sk_c9) = sk_c2
    | ~ spl0_8 ),
    inference(superposition,[],[f947,f1581]) ).

fof(f2431,plain,
    ( ! [X0] : multiply(sk_c2,multiply(sk_c9,X0)) = X0
    | ~ spl0_8 ),
    inference(superposition,[],[f921,f1581]) ).

fof(f2430,plain,
    ( identity = multiply(sk_c2,sk_c9)
    | ~ spl0_8 ),
    inference(superposition,[],[f915,f1581]) ).

fof(f2439,plain,
    ( identity = multiply(sk_c9,sk_c2)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2429,f947]) ).

fof(f2429,plain,
    ( identity = multiply(inverse(inverse(sk_c9)),sk_c2)
    | ~ spl0_8 ),
    inference(superposition,[],[f810,f1581]) ).

fof(f2438,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c2,X0)
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2428,f47]) ).

fof(f2428,plain,
    ( ! [X0] : multiply(inverse(sk_c9),X0) = multiply(sk_c2,X0)
    | ~ spl0_8 ),
    inference(superposition,[],[f271,f1581]) ).

fof(f2426,plain,
    ( ! [X0] : multiply(sk_c9,multiply(sk_c2,X0)) = X0
    | ~ spl0_8 ),
    inference(superposition,[],[f69,f1581]) ).

fof(f2425,plain,
    ( identity = multiply(sk_c9,sk_c2)
    | ~ spl0_8 ),
    inference(superposition,[],[f2,f1581]) ).

fof(f1517,plain,
    ( ! [X0] : sk_c9 = multiply(X0,inverse(multiply(sk_c8,X0)))
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f1415,f488]) ).

fof(f1415,plain,
    ( ! [X0] : multiply(sk_c9,identity) = multiply(X0,inverse(multiply(sk_c8,X0)))
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f1273,f455]) ).

fof(f1273,plain,
    ( ! [X0] : multiply(sk_c9,identity) = multiply(X0,inverse(multiply(sk_c1,X0)))
    | ~ spl0_3 ),
    inference(superposition,[],[f446,f1053]) ).

fof(f1518,plain,
    ( ! [X0] : sk_c9 = multiply(X0,inverse(multiply(sk_c8,X0)))
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f1268,f488]) ).

fof(f1268,plain,
    ( ! [X0] : multiply(sk_c9,identity) = multiply(X0,inverse(multiply(sk_c8,X0)))
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(superposition,[],[f478,f1053]) ).

fof(f1520,plain,
    ( ! [X0] : sk_c8 = multiply(X0,inverse(multiply(sk_c9,X0)))
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f1519,f535]) ).

fof(f1519,plain,
    ( ! [X0] : sk_c1 = multiply(X0,inverse(multiply(sk_c9,X0)))
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f1267,f451]) ).

fof(f1267,plain,
    ( ! [X0] : multiply(sk_c8,identity) = multiply(X0,inverse(multiply(sk_c9,X0)))
    | ~ spl0_1 ),
    inference(superposition,[],[f413,f1053]) ).

fof(f1538,plain,
    ( ! [X3,X6,X9,X5] :
        ( sk_c8 != multiply(identity,X9)
        | sk_c8 != multiply(identity,X5)
        | identity != sk_c9
        | identity != inverse(X9)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != multiply(inverse(X6),sk_c8)
        | identity != multiply(X3,sk_c8) )
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1537,f916]) ).

fof(f1537,plain,
    ( ! [X3,X6,X9,X5] :
        ( sk_c8 != multiply(identity,X5)
        | identity != sk_c9
        | identity != inverse(X9)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | sk_c8 != multiply(identity,multiply(X9,identity))
        | identity != multiply(inverse(X6),sk_c8)
        | identity != multiply(X3,sk_c8) )
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1536,f916]) ).

fof(f1536,plain,
    ( ! [X3,X6,X9,X5] :
        ( identity != sk_c9
        | identity != inverse(X9)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | sk_c8 != multiply(identity,multiply(X5,identity))
        | sk_c8 != multiply(identity,multiply(X9,identity))
        | identity != multiply(inverse(X6),sk_c8)
        | identity != multiply(X3,sk_c8) )
    | ~ spl0_1 ),
    inference(inner_rewriting,[],[f1535]) ).

fof(f1622,plain,
    ( identity = inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(superposition,[],[f947,f1591]) ).

fof(f1621,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c8,X0)) = X0
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(superposition,[],[f921,f1591]) ).

fof(f1620,plain,
    ( identity = multiply(identity,sk_c8)
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(superposition,[],[f915,f1591]) ).

fof(f1627,plain,
    ( identity = multiply(sk_c8,identity)
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1619,f947]) ).

fof(f1619,plain,
    ( identity = multiply(inverse(inverse(sk_c8)),identity)
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(superposition,[],[f810,f1591]) ).

fof(f1623,plain,
    ( ! [X0] : multiply(sk_c8,X0) = X0
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1616,f1]) ).

fof(f1616,plain,
    ( ! [X0] : multiply(sk_c8,multiply(identity,X0)) = X0
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(superposition,[],[f69,f1591]) ).

fof(f1615,plain,
    ( identity = multiply(sk_c8,identity)
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(superposition,[],[f2,f1591]) ).

fof(f1614,plain,
    ( ! [X0] : multiply(sk_c8,X0) = X0
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(superposition,[],[f259,f1591]) ).

fof(f1599,plain,
    ( identity = multiply(identity,sk_c8)
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(superposition,[],[f519,f1585]) ).

fof(f1597,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c8,X0)) = X0
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(superposition,[],[f478,f1585]) ).

fof(f1603,plain,
    ( identity = multiply(identity,sk_c8)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1596,f535]) ).

fof(f1596,plain,
    ( identity = multiply(identity,sk_c1)
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(superposition,[],[f447,f1585]) ).

fof(f1602,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c8,X0)) = X0
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1595,f455]) ).

fof(f1595,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c1,X0)) = X0
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(superposition,[],[f446,f1585]) ).

fof(f1601,plain,
    ( identity = multiply(sk_c8,identity)
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1594,f947]) ).

fof(f1594,plain,
    ( identity = multiply(inverse(inverse(sk_c8)),identity)
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(superposition,[],[f421,f1585]) ).

fof(f1593,plain,
    ( identity = multiply(sk_c8,identity)
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(superposition,[],[f414,f1585]) ).

fof(f1600,plain,
    ( ! [X0] : multiply(sk_c8,X0) = X0
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1592,f1]) ).

fof(f1592,plain,
    ( ! [X0] : multiply(sk_c8,multiply(identity,X0)) = X0
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(superposition,[],[f413,f1585]) ).

fof(f1551,plain,
    ( sk_c9 = multiply(sk_c8,sk_c8)
    | sk_c9 = inverse(sk_c6)
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f21,f535]) ).

fof(f1543,plain,
    ( sk_c9 = multiply(sk_c8,sk_c8)
    | sk_c7 = multiply(sk_c6,sk_c9)
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f20,f535]) ).

fof(f1535,plain,
    ( ! [X3,X6,X9,X5] :
        ( identity != sk_c9
        | sk_c9 != inverse(X9)
        | sk_c9 != inverse(X3)
        | sk_c9 != inverse(X5)
        | sk_c8 != multiply(sk_c9,multiply(X5,sk_c9))
        | sk_c8 != multiply(sk_c9,multiply(X9,sk_c9))
        | sk_c9 != multiply(inverse(X6),sk_c8)
        | sk_c9 != multiply(X3,sk_c8) )
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f890,f915]) ).

fof(f890,plain,
    ( ! [X3,X6,X9,X5] :
        ( sk_c9 != inverse(X9)
        | sk_c9 != inverse(X3)
        | sk_c9 != inverse(X5)
        | sk_c8 != multiply(sk_c9,multiply(X5,sk_c9))
        | sk_c8 != multiply(sk_c9,multiply(X9,sk_c9))
        | sk_c9 != multiply(inverse(X6),sk_c8)
        | sk_c9 != multiply(X3,sk_c8)
        | sk_c9 != multiply(X6,inverse(X6)) )
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f43,f47]) ).

fof(f543,plain,
    ( sk_c9 = inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(superposition,[],[f440,f535]) ).

fof(f535,plain,
    ( sk_c8 = sk_c1
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(superposition,[],[f530,f451]) ).

fof(f536,plain,
    ( sk_c8 = sk_c1
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(superposition,[],[f451,f530]) ).

fof(f533,plain,
    ( sk_c8 = multiply(sk_c8,identity)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f531,f47]) ).

fof(f531,plain,
    ( sk_c8 = multiply(inverse(sk_c9),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f69,f519]) ).

fof(f524,plain,
    ( ! [X0] : multiply(inverse(inverse(sk_c8)),multiply(sk_c9,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f69,f423]) ).

fof(f523,plain,
    ( identity = multiply(sk_c9,sk_c8)
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f423]) ).

fof(f488,plain,
    ( sk_c9 = multiply(sk_c9,identity)
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(superposition,[],[f478,f414]) ).

fof(f478,plain,
    ( ! [X0] : multiply(sk_c9,multiply(sk_c8,X0)) = X0
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(superposition,[],[f446,f455]) ).

fof(f486,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(inverse(sk_c8)),X0)
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f485,f455]) ).

fof(f485,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(inverse(sk_c8)),X0)
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f484,f1]) ).

fof(f484,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(inverse(sk_c8)),multiply(identity,X0))
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(superposition,[],[f3,f456]) ).

fof(f483,plain,
    ( identity = multiply(inverse(inverse(inverse(sk_c8))),sk_c1)
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(superposition,[],[f69,f456]) ).

fof(f456,plain,
    ( sk_c1 = multiply(inverse(inverse(sk_c8)),identity)
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(superposition,[],[f69,f453]) ).

fof(f481,plain,
    ( ! [X0] : multiply(sk_c9,multiply(sk_c8,X0)) = X0
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f479,f440]) ).

fof(f479,plain,
    ( ! [X0] : multiply(inverse(sk_c1),multiply(sk_c8,X0)) = X0
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(superposition,[],[f69,f455]) ).

fof(f455,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c1,X0)
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f454,f1]) ).

fof(f454,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c8,multiply(identity,X0))
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(superposition,[],[f3,f451]) ).

fof(f462,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c1,X0)
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f460,f47]) ).

fof(f460,plain,
    ( ! [X0] : multiply(inverse(sk_c9),X0) = multiply(sk_c1,X0)
    | ~ spl0_3 ),
    inference(superposition,[],[f69,f446]) ).

fof(f459,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c1,X0)
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(superposition,[],[f413,f446]) ).

fof(f446,plain,
    ( ! [X0] : multiply(sk_c9,multiply(sk_c1,X0)) = X0
    | ~ spl0_3 ),
    inference(superposition,[],[f69,f440]) ).

fof(f458,plain,
    ( ! [X0] : multiply(inverse(sk_c8),multiply(sk_c1,X0)) = X0
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f457,f1]) ).

fof(f457,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(sk_c8),multiply(sk_c1,X0))
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(superposition,[],[f3,f453]) ).

fof(f453,plain,
    ( identity = multiply(inverse(sk_c8),sk_c1)
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(superposition,[],[f69,f451]) ).

fof(f451,plain,
    ( sk_c1 = multiply(sk_c8,identity)
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f449,f47]) ).

fof(f449,plain,
    ( sk_c1 = multiply(inverse(sk_c9),identity)
    | ~ spl0_3 ),
    inference(superposition,[],[f69,f447]) ).

fof(f452,plain,
    ( ! [X0] : multiply(sk_c9,multiply(sk_c1,X0)) = X0
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f450,f1]) ).

fof(f450,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c1,X0))
    | ~ spl0_3 ),
    inference(superposition,[],[f3,f447]) ).

fof(f448,plain,
    ( sk_c1 = multiply(sk_c8,identity)
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(superposition,[],[f413,f447]) ).

fof(f447,plain,
    ( identity = multiply(sk_c9,sk_c1)
    | ~ spl0_3 ),
    inference(superposition,[],[f2,f440]) ).

fof(f440,plain,
    ( sk_c9 = inverse(sk_c1)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f438]) ).

fof(f432,plain,
    ( ! [X0] : multiply(inverse(inverse(sk_c8)),multiply(sk_c9,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f431,f1]) ).

fof(f431,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(sk_c8)),multiply(sk_c9,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f421]) ).

fof(f430,plain,
    ( sk_c9 = multiply(inverse(inverse(inverse(sk_c8))),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f69,f421]) ).

fof(f421,plain,
    ( identity = multiply(inverse(inverse(sk_c8)),sk_c9)
    | ~ spl0_1 ),
    inference(superposition,[],[f69,f415]) ).

fof(f424,plain,
    ( ! [X0] : multiply(sk_c9,X0) = multiply(inverse(sk_c8),X0)
    | ~ spl0_1 ),
    inference(superposition,[],[f69,f413]) ).

fof(f417,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c9,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f416,f1]) ).

fof(f416,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c9,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f414]) ).

fof(f2615,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2614]) ).

fof(f2614,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8
    | spl0_9 ),
    inference(subsumption_resolution,[],[f2613,f1584]) ).

fof(f2613,plain,
    ( identity = sk_c9
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2607,f2]) ).

fof(f2607,plain,
    ( sk_c9 = multiply(inverse(sk_c9),sk_c9)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(superposition,[],[f69,f2596]) ).

fof(f2596,plain,
    ( sk_c9 = multiply(sk_c9,sk_c9)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2526,f2549]) ).

fof(f2526,plain,
    ( sk_c9 = multiply(sk_c8,sk_c8)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(global_subsumption,[],[f2369,f11,f17,f1,f2,f5,f3,f69,f262,f43,f20,f19,f18,f16,f21,f14,f13,f12,f10,f8,f7,f6,f4,f9,f47,f414,f417,f415,f413,f424,f421,f430,f432,f259,f434,f15,f440,f447,f448,f452,f451,f453,f458,f446,f459,f462,f455,f481,f456,f483,f486,f478,f488,f423,f523,f524,f519,f533,f530,f536,f535,f543,f260,f817,f810,f876,f889,f271,f927,f928,f930,f935,f916,f996,f963,f1008,f947,f1033,f1034,f915,f1095,f1069,f921,f1137,f1152,f1053,f1192,f1237,f1388,f1420,f1422,f1424,f1425,f1396,f1395,f1392,f1391,f1380,f1379,f1231,f1215,f1333,f1530,f1184,f1054,f1046,f1533,f969,f968,f1534,f953,f952,f1535,f878,f875,f32,f26,f1543,f38,f33,f27,f1551,f39,f1390,f1376,f1375,f1374,f34,f28,f1587,f29,f23,f1588,f35,f50,f25,f1538,f1546,f1544,f31,f30,f37,f36,f1520,f1518,f1517,f1216,f1219,f1354,f1521,f1527,f22,f2515,f24,f2516]) ).

fof(f2369,plain,
    ( identity = sk_c7
    | sk_c9 = multiply(sk_c8,sk_c8)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f2368,f414]) ).

fof(f2368,plain,
    ( sk_c7 = multiply(sk_c8,sk_c9)
    | sk_c9 = multiply(sk_c8,sk_c8)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f1543,f1561]) ).

fof(f2611,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2610]) ).

fof(f2610,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8
    | spl0_9 ),
    inference(subsumption_resolution,[],[f2609,f1584]) ).

fof(f2609,plain,
    ( identity = sk_c9
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2605,f414]) ).

fof(f2605,plain,
    ( sk_c9 = multiply(sk_c8,sk_c9)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(superposition,[],[f413,f2596]) ).

fof(f2514,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2513]) ).

fof(f2513,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8
    | spl0_9 ),
    inference(subsumption_resolution,[],[f2512,f1584]) ).

fof(f2512,plain,
    ( identity = sk_c9
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f2511,f2456]) ).

fof(f2456,plain,
    ( identity = sk_c3
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f2455,f414]) ).

fof(f2455,plain,
    ( sk_c3 = multiply(sk_c8,sk_c9)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f2373,f2437]) ).

fof(f2373,plain,
    ( sk_c3 = multiply(sk_c2,sk_c9)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_9 ),
    inference(global_subsumption,[],[f2372,f11,f17,f1,f2,f5,f53,f3,f72,f69,f262,f43,f20,f19,f18,f16,f21,f14,f13,f12,f10,f8,f7,f6,f4,f9,f281,f420,f418,f259,f434,f15,f266,f498,f499,f501,f502,f495,f507,f508,f496,f504,f497,f427,f553,f429,f729,f728,f734,f732,f735,f737,f551,f751,f753,f727,f759,f760,f754,f773,f260,f817,f810,f876,f889,f271,f927,f928,f930,f935,f916,f996,f963,f1008,f947,f1033,f1034,f915,f1095,f1069,f921,f1137,f1152,f1053,f1192,f1237,f1388,f1412,f1413,f1420,f1422,f1424,f1425,f1411,f1428,f1463,f1468,f1441,f1493,f1451,f1502,f1456,f1457,f1459,f1460,f1444,f1435,f1433,f1515,f1516,f1396,f1395,f1389,f1380,f1379,f1378,f1377,f1231,f1523,f1224,f1525,f1526,f1221,f1215,f1336,f1333,f1530,f1184,f1054,f1046,f1533,f969,f968,f1534,f953,f952,f878,f875,f32,f31,f30,f1541,f26,f24,f1542,f38,f37,f36,f33,f27,f39,f1550,f34,f22,f28,f29,f23,f35,f1584,f1394,f1393,f772,f1494,f51,f1606,f1607,f1612,f1373,f1611,f1682,f1683,f1691,f1687,f1688,f1604,f1701,f1609,f1720,f1605,f1610,f1736,f1830,f1837,f1812,f1825,f1828,f1759,f1901,f1910,f1882,f1896,f1899,f1801,f1964,f1958,f1998,f1819,f2008,f2017,f2013,f1870,f2043,f2036,f1891,f2078,f1999,f2102,f2097,f2094,f2032,f2019,f2016,f2073,f1994,f1942,f1867,f25,f2360,f2081,f2002,f2101,f2091,f2086,f2042,f2018,f2011,f2006,f1963,f1898,f1895,f1827,f1824,f2033,f1954]) ).

fof(f1954,plain,
    ( ! [X0] : sk_c5 = multiply(multiply(sk_c5,inverse(X0)),X0)
    | ~ spl0_2 ),
    inference(superposition,[],[f1801,f947]) ).

fof(f2033,plain,
    ( ! [X0] : sk_c4 = multiply(multiply(sk_c4,inverse(X0)),X0)
    | ~ spl0_2 ),
    inference(superposition,[],[f1870,f947]) ).

fof(f1824,plain,
    ( ! [X0] : inverse(multiply(sk_c4,X0)) = multiply(inverse(X0),sk_c5)
    | ~ spl0_2 ),
    inference(superposition,[],[f69,f1736]) ).

fof(f1827,plain,
    ( ! [X0] : multiply(X0,sk_c5) = inverse(multiply(sk_c4,inverse(X0)))
    | ~ spl0_2 ),
    inference(superposition,[],[f921,f1736]) ).

fof(f1895,plain,
    ( ! [X0] : inverse(multiply(sk_c5,X0)) = multiply(inverse(X0),sk_c4)
    | ~ spl0_2 ),
    inference(superposition,[],[f69,f1759]) ).

fof(f1898,plain,
    ( ! [X0] : multiply(X0,sk_c4) = inverse(multiply(sk_c5,inverse(X0)))
    | ~ spl0_2 ),
    inference(superposition,[],[f921,f1759]) ).

fof(f1963,plain,
    ( ! [X0] : inverse(X0) = multiply(inverse(multiply(sk_c5,X0)),sk_c5)
    | ~ spl0_2 ),
    inference(superposition,[],[f69,f1801]) ).

fof(f2006,plain,
    ( identity = multiply(multiply(sk_c5,sk_c5),multiply(sk_c4,sk_c4))
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f1819]) ).

fof(f2011,plain,
    ( identity = multiply(multiply(sk_c4,sk_c4),multiply(sk_c5,sk_c5))
    | ~ spl0_2 ),
    inference(superposition,[],[f915,f1819]) ).

fof(f2018,plain,
    ( identity = multiply(multiply(sk_c5,sk_c5),multiply(sk_c4,sk_c4))
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2010,f947]) ).

fof(f2010,plain,
    ( identity = multiply(inverse(inverse(multiply(sk_c5,sk_c5))),multiply(sk_c4,sk_c4))
    | ~ spl0_2 ),
    inference(superposition,[],[f810,f1819]) ).

fof(f2042,plain,
    ( ! [X0] : inverse(X0) = multiply(inverse(multiply(sk_c4,X0)),sk_c4)
    | ~ spl0_2 ),
    inference(superposition,[],[f69,f1870]) ).

fof(f2086,plain,
    ( identity = multiply(multiply(sk_c4,sk_c4),multiply(sk_c5,sk_c5))
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f1891]) ).

fof(f2091,plain,
    ( identity = multiply(multiply(sk_c5,sk_c5),multiply(sk_c4,sk_c4))
    | ~ spl0_2 ),
    inference(superposition,[],[f915,f1891]) ).

fof(f2101,plain,
    ( identity = multiply(multiply(sk_c4,sk_c4),multiply(sk_c5,sk_c5))
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2090,f947]) ).

fof(f2090,plain,
    ( identity = multiply(inverse(inverse(multiply(sk_c4,sk_c4))),multiply(sk_c5,sk_c5))
    | ~ spl0_2 ),
    inference(superposition,[],[f810,f1891]) ).

fof(f2002,plain,
    ( identity = multiply(multiply(sk_c5,sk_c5),multiply(sk_c4,sk_c4))
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1997,f1611]) ).

fof(f1997,plain,
    ( identity = multiply(multiply(sk_c5,sk_c5),multiply(sk_c4,inverse(sk_c5)))
    | ~ spl0_2 ),
    inference(superposition,[],[f1053,f1958]) ).

fof(f2081,plain,
    ( identity = multiply(multiply(sk_c4,sk_c4),multiply(sk_c5,sk_c5))
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2076,f51]) ).

fof(f2076,plain,
    ( identity = multiply(multiply(sk_c4,sk_c4),multiply(sk_c5,inverse(sk_c4)))
    | ~ spl0_2 ),
    inference(superposition,[],[f1053,f2036]) ).

fof(f2360,plain,
    ( sk_c8 = multiply(sk_c9,sk_c3)
    | ~ spl0_2
    | spl0_9 ),
    inference(global_subsumption,[],[f11,f17,f1,f2,f5,f53,f3,f72,f69,f262,f43,f20,f19,f18,f16,f21,f14,f13,f12,f10,f8,f7,f6,f4,f9,f281,f420,f418,f259,f434,f15,f266,f498,f499,f501,f502,f495,f507,f508,f496,f504,f497,f427,f553,f429,f729,f728,f734,f732,f735,f737,f551,f751,f753,f727,f759,f760,f754,f773,f260,f817,f810,f876,f889,f271,f927,f928,f930,f935,f916,f996,f963,f1008,f947,f1033,f1034,f915,f1095,f1069,f921,f1137,f1152,f1053,f1192,f1237,f1388,f1412,f1413,f1420,f1422,f1424,f1425,f1411,f1428,f1463,f1468,f1441,f1493,f1451,f1502,f1456,f1457,f1459,f1460,f1444,f1435,f1433,f1515,f1516,f1396,f1395,f1389,f1380,f1379,f1378,f1377,f1231,f1523,f1224,f1525,f1526,f1221,f1215,f1336,f1333,f1530,f1184,f1054,f1046,f1533,f969,f968,f1534,f953,f952,f878,f875,f32,f31,f30,f1541,f26,f24,f1542,f38,f37,f36,f33,f27,f39,f1550,f34,f22,f28,f29,f23,f35,f1584,f1394,f1393,f772,f1494,f51,f1606,f1607,f1612,f1373,f1611,f1682,f1683,f1691,f1687,f1688,f1604,f1701,f1609,f1720,f1605,f1610,f1736,f1830,f1837,f1812,f1824,f1825,f1827,f1828,f1759,f1901,f1910,f1882,f1895,f1896,f1898,f1899,f1801,f1954,f1963,f1964,f1958,f2002,f1998,f1819,f2006,f2008,f2017,f2018,f2011,f2013,f1870,f2033,f2042,f2043,f2036,f2081,f1891,f2086,f2101,f2091,f2078,f1999,f2102,f2097,f2094,f2032,f2019,f2016,f2073,f1994,f1942,f1867,f25]) ).

fof(f1867,plain,
    ( ! [X0] : identity = multiply(X0,multiply(inverse(multiply(sk_c4,X0)),sk_c4))
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1823,f1611]) ).

fof(f1823,plain,
    ( ! [X0] : identity = multiply(X0,multiply(inverse(multiply(sk_c4,X0)),inverse(sk_c5)))
    | ~ spl0_2 ),
    inference(superposition,[],[f1053,f1736]) ).

fof(f1942,plain,
    ( ! [X0] : identity = multiply(X0,multiply(inverse(multiply(sk_c5,X0)),sk_c5))
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1894,f51]) ).

fof(f1894,plain,
    ( ! [X0] : identity = multiply(X0,multiply(inverse(multiply(sk_c5,X0)),inverse(sk_c4)))
    | ~ spl0_2 ),
    inference(superposition,[],[f1053,f1759]) ).

fof(f1994,plain,
    ( ! [X0] : identity = multiply(multiply(sk_c5,X0),multiply(inverse(X0),sk_c4))
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1962,f1611]) ).

fof(f1962,plain,
    ( ! [X0] : identity = multiply(multiply(sk_c5,X0),multiply(inverse(X0),inverse(sk_c5)))
    | ~ spl0_2 ),
    inference(superposition,[],[f1053,f1801]) ).

fof(f2073,plain,
    ( ! [X0] : identity = multiply(multiply(sk_c4,X0),multiply(inverse(X0),sk_c5))
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2041,f51]) ).

fof(f2041,plain,
    ( ! [X0] : identity = multiply(multiply(sk_c4,X0),multiply(inverse(X0),inverse(sk_c4)))
    | ~ spl0_2 ),
    inference(superposition,[],[f1053,f1870]) ).

fof(f2016,plain,
    ( ! [X0] : multiply(multiply(sk_c5,sk_c5),multiply(sk_c4,multiply(sk_c4,X0))) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2007,f3]) ).

fof(f2007,plain,
    ( ! [X0] : multiply(multiply(sk_c5,sk_c5),multiply(multiply(sk_c4,sk_c4),X0)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f69,f1819]) ).

fof(f2019,plain,
    ( ! [X0] : multiply(multiply(sk_c4,sk_c4),multiply(sk_c5,multiply(sk_c5,X0))) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2012,f3]) ).

fof(f2012,plain,
    ( ! [X0] : multiply(multiply(sk_c4,sk_c4),multiply(multiply(sk_c5,sk_c5),X0)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f921,f1819]) ).

fof(f2032,plain,
    ( sk_c4 = multiply(multiply(sk_c4,multiply(sk_c4,sk_c4)),multiply(sk_c5,sk_c5))
    | ~ spl0_2 ),
    inference(superposition,[],[f1870,f1819]) ).

fof(f2094,plain,
    ( sk_c5 = multiply(multiply(sk_c5,multiply(sk_c5,sk_c5)),multiply(sk_c4,sk_c4))
    | ~ spl0_2 ),
    inference(superposition,[],[f1801,f1891]) ).

fof(f2097,plain,
    ( ! [X0] : multiply(multiply(sk_c4,sk_c4),multiply(sk_c5,multiply(sk_c5,X0))) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2087,f3]) ).

fof(f2087,plain,
    ( ! [X0] : multiply(multiply(sk_c4,sk_c4),multiply(multiply(sk_c5,sk_c5),X0)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f69,f1891]) ).

fof(f2102,plain,
    ( ! [X0] : multiply(multiply(sk_c5,sk_c5),multiply(sk_c4,multiply(sk_c4,X0))) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2092,f3]) ).

fof(f2092,plain,
    ( ! [X0] : multiply(multiply(sk_c5,sk_c5),multiply(multiply(sk_c4,sk_c4),X0)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f921,f1891]) ).

fof(f1999,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(multiply(sk_c5,sk_c5),multiply(sk_c4,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f1958]) ).

fof(f2078,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(multiply(sk_c4,sk_c4),multiply(sk_c5,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f2036]) ).

fof(f1891,plain,
    ( multiply(sk_c4,sk_c4) = inverse(multiply(sk_c5,sk_c5))
    | ~ spl0_2 ),
    inference(superposition,[],[f1610,f1759]) ).

fof(f2036,plain,
    ( sk_c4 = multiply(multiply(sk_c4,sk_c4),sk_c5)
    | ~ spl0_2 ),
    inference(superposition,[],[f1870,f51]) ).

fof(f2043,plain,
    ( ! [X0,X1] : multiply(sk_c4,X1) = multiply(multiply(sk_c4,X0),multiply(inverse(X0),X1))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f1870]) ).

fof(f1870,plain,
    ( ! [X0] : sk_c4 = multiply(multiply(sk_c4,X0),inverse(X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f1759,f1605]) ).

fof(f2013,plain,
    ( multiply(sk_c4,sk_c4) = inverse(multiply(sk_c5,sk_c5))
    | ~ spl0_2 ),
    inference(superposition,[],[f947,f1819]) ).

fof(f2017,plain,
    ( ! [X0] : multiply(inverse(multiply(sk_c5,sk_c5)),X0) = multiply(sk_c4,multiply(sk_c4,X0))
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2009,f3]) ).

fof(f2009,plain,
    ( ! [X0] : multiply(multiply(sk_c4,sk_c4),X0) = multiply(inverse(multiply(sk_c5,sk_c5)),X0)
    | ~ spl0_2 ),
    inference(superposition,[],[f271,f1819]) ).

fof(f2008,plain,
    ( multiply(sk_c4,sk_c4) = multiply(inverse(multiply(sk_c5,sk_c5)),identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f260,f1819]) ).

fof(f1819,plain,
    ( inverse(multiply(sk_c4,sk_c4)) = multiply(sk_c5,sk_c5)
    | ~ spl0_2 ),
    inference(superposition,[],[f1605,f1736]) ).

fof(f1998,plain,
    ( sk_c4 = multiply(inverse(multiply(sk_c5,sk_c5)),sk_c5)
    | ~ spl0_2 ),
    inference(superposition,[],[f69,f1958]) ).

fof(f1958,plain,
    ( sk_c5 = multiply(multiply(sk_c5,sk_c5),sk_c4)
    | ~ spl0_2 ),
    inference(superposition,[],[f1801,f1611]) ).

fof(f1964,plain,
    ( ! [X0,X1] : multiply(sk_c5,X1) = multiply(multiply(sk_c5,X0),multiply(inverse(X0),X1))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f1801]) ).

fof(f1801,plain,
    ( ! [X0] : sk_c5 = multiply(multiply(sk_c5,X0),inverse(X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f1736,f1610]) ).

fof(f1899,plain,
    ( ! [X0,X1] : sk_c4 = multiply(X0,multiply(X1,inverse(multiply(sk_c5,multiply(X0,X1)))))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f1759]) ).

fof(f1896,plain,
    ( ! [X0,X1] : multiply(X0,multiply(inverse(multiply(sk_c5,X0)),X1)) = multiply(sk_c4,X1)
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f1759]) ).

fof(f1882,plain,
    ( ! [X0,X1] : sk_c4 = multiply(X0,multiply(X1,inverse(multiply(sk_c5,multiply(X0,X1)))))
    | ~ spl0_2 ),
    inference(superposition,[],[f1759,f3]) ).

fof(f1910,plain,
    ( sk_c4 = multiply(inverse(multiply(sk_c5,sk_c5)),sk_c5)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1875,f51]) ).

fof(f1875,plain,
    ( sk_c4 = multiply(inverse(multiply(sk_c5,sk_c5)),inverse(sk_c4))
    | ~ spl0_2 ),
    inference(superposition,[],[f1759,f1759]) ).

fof(f1901,plain,
    ( ! [X0] : sk_c4 = multiply(multiply(sk_c4,X0),inverse(X0))
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1871,f1611]) ).

fof(f1871,plain,
    ( ! [X0] : sk_c4 = multiply(multiply(inverse(sk_c5),X0),inverse(X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f1759,f921]) ).

fof(f1759,plain,
    ( ! [X0] : sk_c4 = multiply(X0,inverse(multiply(sk_c5,X0)))
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1751,f916]) ).

fof(f1751,plain,
    ( ! [X0] : multiply(sk_c4,identity) = multiply(X0,inverse(multiply(sk_c5,X0)))
    | ~ spl0_2 ),
    inference(superposition,[],[f1610,f1053]) ).

fof(f1828,plain,
    ( ! [X0,X1] : sk_c5 = multiply(X0,multiply(X1,inverse(multiply(sk_c4,multiply(X0,X1)))))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f1736]) ).

fof(f1825,plain,
    ( ! [X0,X1] : multiply(X0,multiply(inverse(multiply(sk_c4,X0)),X1)) = multiply(sk_c5,X1)
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f1736]) ).

fof(f1812,plain,
    ( ! [X0,X1] : sk_c5 = multiply(X0,multiply(X1,inverse(multiply(sk_c4,multiply(X0,X1)))))
    | ~ spl0_2 ),
    inference(superposition,[],[f1736,f3]) ).

fof(f1837,plain,
    ( sk_c5 = multiply(inverse(multiply(sk_c4,sk_c4)),sk_c4)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1805,f1611]) ).

fof(f1805,plain,
    ( sk_c5 = multiply(inverse(multiply(sk_c4,sk_c4)),inverse(sk_c5))
    | ~ spl0_2 ),
    inference(superposition,[],[f1736,f1736]) ).

fof(f1830,plain,
    ( ! [X0] : sk_c5 = multiply(multiply(sk_c5,X0),inverse(X0))
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1802,f51]) ).

fof(f1802,plain,
    ( ! [X0] : sk_c5 = multiply(multiply(inverse(sk_c4),X0),inverse(X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f1736,f921]) ).

fof(f1736,plain,
    ( ! [X0] : sk_c5 = multiply(X0,inverse(multiply(sk_c4,X0)))
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1728,f916]) ).

fof(f1728,plain,
    ( ! [X0] : multiply(sk_c5,identity) = multiply(X0,inverse(multiply(sk_c4,X0)))
    | ~ spl0_2 ),
    inference(superposition,[],[f1605,f1053]) ).

fof(f1610,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c5,X0)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f921,f51]) ).

fof(f1605,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c4,X0)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f69,f51]) ).

fof(f1720,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c5,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1715,f1]) ).

fof(f1715,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c4,multiply(sk_c5,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f1609]) ).

fof(f1609,plain,
    ( identity = multiply(sk_c4,sk_c5)
    | ~ spl0_2 ),
    inference(superposition,[],[f915,f51]) ).

fof(f1701,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c4,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1696,f1]) ).

fof(f1696,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c4,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f1604]) ).

fof(f1604,plain,
    ( identity = multiply(sk_c5,sk_c4)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f51]) ).

fof(f1688,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c4,X0)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f921,f1611]) ).

fof(f1687,plain,
    ( identity = multiply(sk_c5,sk_c4)
    | ~ spl0_2 ),
    inference(superposition,[],[f915,f1611]) ).

fof(f1691,plain,
    ( identity = multiply(sk_c4,sk_c5)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1686,f947]) ).

fof(f1686,plain,
    ( identity = multiply(inverse(inverse(sk_c4)),sk_c5)
    | ~ spl0_2 ),
    inference(superposition,[],[f810,f1611]) ).

fof(f1683,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c5,X0)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f69,f1611]) ).

fof(f1682,plain,
    ( identity = multiply(sk_c4,sk_c5)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f1611]) ).

fof(f1612,plain,
    ( identity = multiply(sk_c5,sk_c4)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1608,f947]) ).

fof(f1608,plain,
    ( identity = multiply(inverse(inverse(sk_c5)),sk_c4)
    | ~ spl0_2 ),
    inference(superposition,[],[f810,f51]) ).

fof(f1607,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c5),X0)
    | ~ spl0_2 ),
    inference(superposition,[],[f271,f51]) ).

fof(f1606,plain,
    ( sk_c4 = multiply(inverse(sk_c5),identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f260,f51]) ).

fof(f1494,plain,
    ( identity = inverse(identity)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1452,f495]) ).

fof(f1452,plain,
    ( multiply(sk_c4,sk_c5) = inverse(multiply(sk_c4,sk_c5))
    | ~ spl0_2 ),
    inference(superposition,[],[f497,f1411]) ).

fof(f772,plain,
    ( sk_c4 = inverse(sk_c5)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f769,f496]) ).

fof(f769,plain,
    ( inverse(sk_c5) = multiply(sk_c4,identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f497,f754]) ).

fof(f1393,plain,
    ( identity = inverse(identity)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1258,f495]) ).

fof(f1258,plain,
    ( identity = inverse(multiply(sk_c4,sk_c5))
    | ~ spl0_2 ),
    inference(superposition,[],[f497,f1053]) ).

fof(f1394,plain,
    ( identity = inverse(identity)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1259,f53]) ).

fof(f1259,plain,
    ( identity = inverse(multiply(sk_c5,sk_c4))
    | ~ spl0_2 ),
    inference(superposition,[],[f72,f1053]) ).

fof(f1550,plain,
    ( identity = sk_c9
    | sk_c9 = inverse(sk_c2)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f34,f495]) ).

fof(f1542,plain,
    ( identity = sk_c9
    | sk_c8 = multiply(sk_c9,sk_c3)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f22,f495]) ).

fof(f1541,plain,
    ( identity = sk_c9
    | sk_c3 = multiply(sk_c2,sk_c9)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f28,f495]) ).

fof(f1336,plain,
    ( identity = multiply(sk_c5,multiply(sk_c4,inverse(identity)))
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1214,f266]) ).

fof(f1214,plain,
    ( identity = multiply(sk_c5,multiply(inverse(sk_c5),inverse(identity)))
    | ~ spl0_2 ),
    inference(superposition,[],[f1053,f754]) ).

fof(f1221,plain,
    ( identity = multiply(sk_c5,multiply(sk_c4,inverse(identity)))
    | ~ spl0_2 ),
    inference(superposition,[],[f1053,f53]) ).

fof(f1526,plain,
    ( identity = multiply(sk_c5,multiply(sk_c4,inverse(identity)))
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1222,f947]) ).

fof(f1222,plain,
    ( identity = multiply(inverse(inverse(sk_c5)),multiply(sk_c4,inverse(identity)))
    | ~ spl0_2 ),
    inference(superposition,[],[f1053,f418]) ).

fof(f1525,plain,
    ( identity = multiply(sk_c5,multiply(sk_c4,inverse(identity)))
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1524,f947]) ).

fof(f1524,plain,
    ( identity = multiply(inverse(inverse(sk_c5)),multiply(sk_c4,inverse(identity)))
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1223,f947]) ).

fof(f1223,plain,
    ( identity = multiply(inverse(inverse(inverse(inverse(sk_c5)))),multiply(sk_c4,inverse(identity)))
    | ~ spl0_2 ),
    inference(superposition,[],[f1053,f551]) ).

fof(f1224,plain,
    ( identity = multiply(sk_c4,multiply(sk_c5,inverse(identity)))
    | ~ spl0_2 ),
    inference(superposition,[],[f1053,f495]) ).

fof(f1523,plain,
    ( identity = multiply(sk_c4,multiply(sk_c5,inverse(identity)))
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1522,f772]) ).

fof(f1522,plain,
    ( identity = multiply(inverse(sk_c5),multiply(sk_c5,inverse(identity)))
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1225,f947]) ).

fof(f1225,plain,
    ( identity = multiply(inverse(inverse(inverse(sk_c5))),multiply(sk_c5,inverse(identity)))
    | ~ spl0_2 ),
    inference(superposition,[],[f1053,f732]) ).

fof(f1377,plain,
    ( identity = inverse(identity)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1242,f495]) ).

fof(f1242,plain,
    ( identity = inverse(multiply(sk_c4,sk_c5))
    | ~ spl0_2 ),
    inference(superposition,[],[f1053,f497]) ).

fof(f1378,plain,
    ( identity = inverse(identity)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1243,f53]) ).

fof(f1243,plain,
    ( identity = inverse(multiply(sk_c5,sk_c4))
    | ~ spl0_2 ),
    inference(superposition,[],[f1053,f72]) ).

fof(f1389,plain,
    ( identity = inverse(identity)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1254,f418]) ).

fof(f1254,plain,
    ( identity = inverse(multiply(inverse(inverse(sk_c5)),sk_c4))
    | ~ spl0_2 ),
    inference(superposition,[],[f429,f1053]) ).

fof(f1516,plain,
    ( sk_c5 = multiply(sk_c5,inverse(identity))
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1430,f1411]) ).

fof(f1430,plain,
    ( ! [X0] : sk_c5 = multiply(multiply(X0,inverse(multiply(sk_c4,X0))),inverse(identity))
    | ~ spl0_2 ),
    inference(superposition,[],[f1411,f1053]) ).

fof(f1515,plain,
    ( sk_c5 = multiply(sk_c5,inverse(identity))
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1431,f51]) ).

fof(f1431,plain,
    ( sk_c5 = multiply(inverse(sk_c4),inverse(identity))
    | ~ spl0_2 ),
    inference(superposition,[],[f1411,f915]) ).

fof(f1433,plain,
    ( sk_c5 = multiply(sk_c5,inverse(identity))
    | ~ spl0_2 ),
    inference(superposition,[],[f1411,f495]) ).

fof(f1435,plain,
    ( sk_c5 = inverse(multiply(sk_c4,inverse(identity)))
    | ~ spl0_2 ),
    inference(superposition,[],[f1411,f259]) ).

fof(f1444,plain,
    ( sk_c5 = inverse(multiply(sk_c4,inverse(identity)))
    | ~ spl0_2 ),
    inference(superposition,[],[f259,f1411]) ).

fof(f1460,plain,
    ( ! [X0,X1] : sk_c5 = multiply(X0,multiply(X1,inverse(multiply(sk_c4,multiply(X0,X1)))))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f1411]) ).

fof(f1459,plain,
    ( ! [X0] : multiply(X0,sk_c5) = inverse(multiply(sk_c4,inverse(X0)))
    | ~ spl0_2 ),
    inference(superposition,[],[f921,f1411]) ).

fof(f1457,plain,
    ( ! [X0,X1] : multiply(X0,multiply(inverse(multiply(sk_c4,X0)),X1)) = multiply(sk_c5,X1)
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f1411]) ).

fof(f1456,plain,
    ( ! [X0] : inverse(multiply(sk_c4,X0)) = multiply(inverse(X0),sk_c5)
    | ~ spl0_2 ),
    inference(superposition,[],[f69,f1411]) ).

fof(f1502,plain,
    ( ! [X0] : identity = multiply(X0,multiply(inverse(multiply(sk_c4,X0)),sk_c4))
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1455,f772]) ).

fof(f1455,plain,
    ( ! [X0] : identity = multiply(X0,multiply(inverse(multiply(sk_c4,X0)),inverse(sk_c5)))
    | ~ spl0_2 ),
    inference(superposition,[],[f1053,f1411]) ).

fof(f1451,plain,
    ( inverse(multiply(sk_c4,sk_c4)) = multiply(sk_c5,sk_c5)
    | ~ spl0_2 ),
    inference(superposition,[],[f72,f1411]) ).

fof(f1493,plain,
    ( inverse(multiply(sk_c4,sk_c4)) = multiply(sk_c5,sk_c5)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1450,f727]) ).

fof(f1450,plain,
    ( inverse(multiply(sk_c4,sk_c4)) = multiply(inverse(inverse(sk_c5)),sk_c5)
    | ~ spl0_2 ),
    inference(superposition,[],[f429,f1411]) ).

fof(f1441,plain,
    ( ! [X0,X1] : sk_c5 = multiply(X0,multiply(X1,inverse(multiply(sk_c4,multiply(X0,X1)))))
    | ~ spl0_2 ),
    inference(superposition,[],[f1411,f3]) ).

fof(f1468,plain,
    ( sk_c5 = multiply(inverse(multiply(sk_c4,sk_c4)),sk_c4)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1432,f772]) ).

fof(f1432,plain,
    ( sk_c5 = multiply(inverse(multiply(sk_c4,sk_c4)),inverse(sk_c5))
    | ~ spl0_2 ),
    inference(superposition,[],[f1411,f1411]) ).

fof(f1463,plain,
    ( ! [X0] : sk_c5 = multiply(multiply(sk_c5,X0),inverse(X0))
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1429,f51]) ).

fof(f1429,plain,
    ( ! [X0] : sk_c5 = multiply(multiply(inverse(sk_c4),X0),inverse(X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f1411,f921]) ).

fof(f1428,plain,
    ( ! [X0] : sk_c5 = multiply(multiply(sk_c5,X0),inverse(X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f1411,f497]) ).

fof(f1411,plain,
    ( ! [X0] : sk_c5 = multiply(X0,inverse(multiply(sk_c4,X0)))
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1269,f728]) ).

fof(f1269,plain,
    ( ! [X0] : multiply(inverse(inverse(sk_c5)),identity) = multiply(X0,inverse(multiply(sk_c4,X0)))
    | ~ spl0_2 ),
    inference(superposition,[],[f429,f1053]) ).

fof(f1413,plain,
    ( ! [X0] : sk_c4 = multiply(X0,inverse(multiply(sk_c5,X0)))
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1271,f496]) ).

fof(f1271,plain,
    ( ! [X0] : multiply(sk_c4,identity) = multiply(X0,inverse(multiply(sk_c5,X0)))
    | ~ spl0_2 ),
    inference(superposition,[],[f497,f1053]) ).

fof(f1412,plain,
    ( ! [X0] : sk_c5 = multiply(X0,inverse(multiply(sk_c4,X0)))
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1270,f504]) ).

fof(f1270,plain,
    ( ! [X0] : multiply(sk_c5,identity) = multiply(X0,inverse(multiply(sk_c4,X0)))
    | ~ spl0_2 ),
    inference(superposition,[],[f72,f1053]) ).

fof(f773,plain,
    ( sk_c4 = inverse(sk_c5)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f770,f281]) ).

fof(f770,plain,
    ( inverse(sk_c5) = multiply(inverse(sk_c5),identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f69,f754]) ).

fof(f754,plain,
    ( identity = multiply(sk_c5,inverse(sk_c5))
    | ~ spl0_2 ),
    inference(superposition,[],[f727,f2]) ).

fof(f760,plain,
    ( ! [X0] : multiply(inverse(inverse(inverse(sk_c5))),multiply(sk_c5,X0)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f69,f727]) ).

fof(f759,plain,
    ( identity = multiply(sk_c5,inverse(sk_c5))
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f727]) ).

fof(f727,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(inverse(inverse(sk_c5)),X0)
    | ~ spl0_2 ),
    inference(superposition,[],[f429,f497]) ).

fof(f753,plain,
    ( ! [X0] : multiply(inverse(inverse(inverse(inverse(sk_c5)))),multiply(sk_c4,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f752,f1]) ).

fof(f752,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(inverse(inverse(sk_c5)))),multiply(sk_c4,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f551]) ).

fof(f751,plain,
    ( sk_c4 = multiply(inverse(inverse(inverse(inverse(inverse(sk_c5))))),identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f69,f551]) ).

fof(f551,plain,
    ( identity = multiply(inverse(inverse(inverse(inverse(sk_c5)))),sk_c4)
    | ~ spl0_2 ),
    inference(superposition,[],[f69,f427]) ).

fof(f737,plain,
    ( ! [X0] : multiply(inverse(inverse(inverse(sk_c5))),multiply(sk_c5,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f736,f1]) ).

fof(f736,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(inverse(sk_c5))),multiply(sk_c5,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f732]) ).

fof(f735,plain,
    ( sk_c5 = multiply(inverse(inverse(inverse(inverse(sk_c5)))),identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f69,f732]) ).

fof(f732,plain,
    ( identity = multiply(inverse(inverse(inverse(sk_c5))),sk_c5)
    | ~ spl0_2 ),
    inference(superposition,[],[f69,f728]) ).

fof(f734,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(inverse(inverse(sk_c5)),X0)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f733,f1]) ).

fof(f733,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(inverse(inverse(sk_c5)),multiply(identity,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f728]) ).

fof(f728,plain,
    ( sk_c5 = multiply(inverse(inverse(sk_c5)),identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f429,f495]) ).

fof(f729,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(inverse(inverse(sk_c5))),X0)
    | ~ spl0_2 ),
    inference(superposition,[],[f69,f429]) ).

fof(f553,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(inverse(inverse(sk_c5))),X0)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f552,f1]) ).

fof(f552,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(inverse(inverse(sk_c5))),multiply(identity,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f427]) ).

fof(f427,plain,
    ( sk_c4 = multiply(inverse(inverse(inverse(sk_c5))),identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f69,f418]) ).

fof(f497,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c5,X0)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f266,f69]) ).

fof(f504,plain,
    ( sk_c5 = multiply(sk_c5,identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f72,f495]) ).

fof(f496,plain,
    ( sk_c4 = multiply(sk_c4,identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f266,f281]) ).

fof(f508,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c5,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f506,f1]) ).

fof(f506,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c4,multiply(sk_c5,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f495]) ).

fof(f507,plain,
    ( sk_c5 = multiply(sk_c5,identity)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f505,f51]) ).

fof(f505,plain,
    ( sk_c5 = multiply(inverse(sk_c4),identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f69,f495]) ).

fof(f495,plain,
    ( identity = multiply(sk_c4,sk_c5)
    | ~ spl0_2 ),
    inference(superposition,[],[f266,f2]) ).

fof(f502,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c5,X0)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f69,f266]) ).

fof(f501,plain,
    ( sk_c4 = multiply(sk_c4,identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f281,f266]) ).

fof(f499,plain,
    ( ! [X0] : multiply(inverse(inverse(sk_c5)),multiply(sk_c4,X0)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f69,f266]) ).

fof(f498,plain,
    ( identity = multiply(sk_c4,sk_c5)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f266]) ).

fof(f266,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c5),X0)
    | ~ spl0_2 ),
    inference(superposition,[],[f69,f72]) ).

fof(f420,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c5),X0)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f419,f1]) ).

fof(f419,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c5),multiply(identity,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f281]) ).

fof(f72,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c4,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f65,f1]) ).

fof(f65,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c4,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f53]) ).

fof(f2372,plain,
    ( identity = sk_c7
    | sk_c3 = multiply(sk_c2,sk_c9)
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f2371,f414]) ).

fof(f2371,plain,
    ( sk_c7 = multiply(sk_c8,sk_c9)
    | sk_c3 = multiply(sk_c2,sk_c9)
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f32,f1561]) ).

fof(f2511,plain,
    ( sk_c9 = sk_c3
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_9 ),
    inference(forward_demodulation,[],[f2447,f2365]) ).

fof(f2365,plain,
    ( sk_c9 = multiply(sk_c8,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_9 ),
    inference(global_subsumption,[],[f11,f17,f1,f2,f5,f53,f3,f72,f69,f262,f43,f20,f19,f18,f16,f21,f14,f13,f12,f10,f8,f7,f6,f4,f9,f47,f414,f417,f281,f420,f415,f413,f424,f418,f421,f430,f432,f259,f434,f15,f440,f447,f448,f452,f451,f453,f458,f446,f459,f462,f455,f481,f456,f483,f486,f478,f488,f266,f498,f499,f501,f502,f495,f507,f508,f496,f504,f497,f423,f523,f524,f519,f533,f530,f536,f535,f543,f427,f553,f429,f729,f728,f734,f732,f735,f737,f551,f751,f753,f727,f759,f760,f754,f773,f260,f817,f810,f876,f889,f271,f927,f928,f930,f935,f916,f996,f963,f1008,f947,f1033,f1034,f915,f1095,f1069,f921,f1137,f1152,f1053,f1192,f1237,f1388,f1412,f1413,f1420,f1422,f1424,f1425,f1411,f1428,f1463,f1468,f1441,f1493,f1451,f1502,f1456,f1457,f1459,f1460,f1514,f1449,f1448,f1444,f1435,f1433,f1515,f1516,f1517,f1518,f1520,f1396,f1395,f1392,f1391,f1389,f1380,f1379,f1378,f1377,f1231,f1521,f1354,f1523,f1224,f1525,f1526,f1221,f1219,f1527,f1216,f1215,f1336,f1333,f1530,f1184,f1054,f1046,f1533,f969,f968,f1534,f953,f952,f1535,f878,f875,f32,f31,f30,f1541,f26,f24,f1542,f1543,f1544,f1546,f1549,f38,f37,f36,f33,f27,f1551,f39,f1550,f1390,f1376,f1375,f1374,f34,f22,f28,f1587,f29,f23,f1588,f35,f1584,f1394,f1393,f772,f1494,f51,f1606,f1607,f1612,f1373,f1611,f1682,f1683,f1691,f1687,f1688,f1604,f1701,f1609,f1720,f1605,f1610,f1736,f1830,f1837,f1812,f1825,f1828,f1759,f1901,f1910,f1882,f1896,f1899,f1801,f1964,f1958,f1998,f1819,f2008,f2017,f2013,f1870,f2043,f2036,f1891,f2078,f1999,f2102,f2097,f2094,f2032,f2019,f2016,f2073,f1994,f1942,f1867,f25,f2360,f2081,f2002,f2101,f2091,f2086,f2042,f2018,f2011,f2006,f1963,f1898,f1895,f1827,f1824,f2033,f1954,f1538,f2363,f2364]) ).

fof(f2364,plain,
    ( identity = sk_c9
    | sk_c9 = multiply(sk_c8,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f1587,f1609]) ).

fof(f2363,plain,
    ( identity != sk_c9
    | ~ spl0_1
    | spl0_9 ),
    inference(global_subsumption,[],[f1538,f11,f17,f1,f2,f5,f3,f69,f262,f43,f20,f19,f18,f16,f21,f14,f13,f12,f10,f8,f7,f6,f4,f9,f259,f434,f15,f260,f817,f810,f876,f889,f271,f927,f928,f930,f935,f916,f996,f963,f1008,f947,f1033,f1034,f915,f1095,f1069,f921,f1137,f1152,f1053,f1192,f1237,f1388,f1420,f1422,f1424,f1425,f1396,f1395,f1380,f1379,f1231,f1215,f1333,f1530,f1184,f1054,f1046,f1533,f969,f968,f1534,f953,f952,f878,f875,f32,f31,f30,f26,f24,f38,f37,f36,f33,f27,f39,f34,f22,f28,f29,f23,f35,f1584,f25]) ).

fof(f1549,plain,
    ( sk_c9 = multiply(sk_c8,sk_c8)
    | identity = sk_c9
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f722,f535]) ).

fof(f722,plain,
    ( identity = sk_c9
    | sk_c9 = multiply(sk_c1,sk_c8)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f16,f495]) ).

fof(f1448,plain,
    ( inverse(multiply(sk_c4,sk_c9)) = multiply(sk_c8,sk_c5)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f413,f1411]) ).

fof(f1449,plain,
    ( inverse(multiply(sk_c4,sk_c8)) = multiply(sk_c9,sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f478,f1411]) ).

fof(f1514,plain,
    ( inverse(multiply(sk_c4,sk_c8)) = multiply(sk_c9,sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f1454,f535]) ).

fof(f1454,plain,
    ( inverse(multiply(sk_c4,sk_c1)) = multiply(sk_c9,sk_c5)
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f446,f1411]) ).

fof(f2447,plain,
    ( sk_c3 = multiply(sk_c8,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_9 ),
    inference(forward_demodulation,[],[f2444,f47]) ).

fof(f2444,plain,
    ( sk_c3 = multiply(inverse(sk_c9),sk_c8)
    | ~ spl0_2
    | spl0_9 ),
    inference(superposition,[],[f69,f2360]) ).

fof(f2359,plain,
    ( spl0_7
    | spl0_7
    | spl0_5
    | spl0_6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f2313,f1583,f49,f45,f1508,f1505,f1511,f1511]) ).

fof(f2313,plain,
    ( ! [X3,X6,X9,X5] :
        ( identity != multiply(X3,identity)
        | identity != multiply(inverse(X6),identity)
        | identity != multiply(identity,X5)
        | identity != multiply(identity,X9)
        | identity != inverse(X9)
        | identity != inverse(X3)
        | identity != inverse(X5) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2312,f1628]) ).

fof(f2312,plain,
    ( ! [X3,X6,X9,X5] :
        ( identity != multiply(inverse(X6),identity)
        | identity != multiply(identity,X5)
        | identity != multiply(identity,X9)
        | identity != inverse(X9)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != multiply(X3,sk_c8) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2311,f1628]) ).

fof(f2311,plain,
    ( ! [X3,X6,X9,X5] :
        ( identity != multiply(identity,X5)
        | identity != multiply(identity,X9)
        | identity != inverse(X9)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != multiply(inverse(X6),sk_c8)
        | identity != multiply(X3,sk_c8) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2310,f1628]) ).

fof(f2310,plain,
    ( ! [X3,X6,X9,X5] :
        ( identity != multiply(identity,X9)
        | sk_c8 != multiply(identity,X5)
        | identity != inverse(X9)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != multiply(inverse(X6),sk_c8)
        | identity != multiply(X3,sk_c8) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2309,f1628]) ).

fof(f2309,plain,
    ( ! [X3,X6,X9,X5] :
        ( sk_c8 != multiply(identity,X9)
        | sk_c8 != multiply(identity,X5)
        | identity != inverse(X9)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != multiply(inverse(X6),sk_c8)
        | identity != multiply(X3,sk_c8) )
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f1538,f1585]) ).

fof(f1590,plain,
    ( spl0_2
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1589]) ).

fof(f1589,plain,
    ( $false
    | spl0_2
    | spl0_8 ),
    inference(global_subsumption,[],[f11,f17,f1,f2,f5,f3,f69,f262,f43,f20,f19,f18,f16,f21,f14,f13,f12,f10,f8,f7,f6,f4,f9,f259,f434,f15,f260,f817,f810,f876,f889,f271,f927,f928,f930,f935,f916,f996,f963,f1008,f947,f1033,f1034,f915,f1095,f1069,f921,f1137,f1152,f1053,f1192,f1237,f1388,f1420,f1422,f1424,f1425,f1396,f1395,f1380,f1379,f1231,f1215,f1333,f1530,f1184,f1054,f1046,f1533,f969,f968,f1534,f953,f952,f878,f875,f32,f31,f30,f26,f25,f24,f38,f37,f36,f33,f27,f39,f34,f22,f28,f29,f23,f35,f1580,f50]) ).

fof(f1580,plain,
    ( sk_c9 != inverse(sk_c2)
    | spl0_8 ),
    inference(avatar_component_clause,[],[f1579]) ).

fof(f1586,plain,
    ( spl0_8
    | spl0_9
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f1550,f49,f1583,f1579]) ).

fof(f1513,plain,
    ( spl0_5
    | spl0_6
    | spl0_7
    | spl0_7
    | ~ spl0_1
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f1099,f442,f438,f45,f1511,f1511,f1508,f1505]) ).

fof(f1099,plain,
    ( ! [X3,X6,X9,X5] :
        ( identity != multiply(identity,X5)
        | identity != multiply(identity,X9)
        | identity != multiply(X3,identity)
        | identity != multiply(inverse(X6),identity)
        | identity != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X9) )
    | ~ spl0_1
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f1098,f916]) ).

fof(f1098,plain,
    ( ! [X3,X6,X9,X5] :
        ( identity != multiply(identity,X9)
        | identity != multiply(X3,identity)
        | identity != multiply(inverse(X6),identity)
        | identity != multiply(identity,multiply(X5,identity))
        | identity != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X9) )
    | ~ spl0_1
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f1097,f916]) ).

fof(f1097,plain,
    ( ! [X3,X6,X9,X5] :
        ( identity != multiply(X3,identity)
        | identity != multiply(inverse(X6),identity)
        | identity != multiply(identity,multiply(X9,identity))
        | identity != multiply(identity,multiply(X5,identity))
        | identity != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X9) )
    | ~ spl0_1
    | ~ spl0_3
    | spl0_4 ),
    inference(subsumption_resolution,[],[f904,f915]) ).

fof(f904,plain,
    ( ! [X3,X6,X9,X5] :
        ( identity != multiply(X6,inverse(X6))
        | identity != multiply(X3,identity)
        | identity != multiply(inverse(X6),identity)
        | identity != multiply(identity,multiply(X9,identity))
        | identity != multiply(identity,multiply(X5,identity))
        | identity != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X9) )
    | ~ spl0_1
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f903,f582]) ).

fof(f582,plain,
    ( identity = sk_c9
    | ~ spl0_1
    | ~ spl0_3
    | spl0_4 ),
    inference(superposition,[],[f581,f572]) ).

fof(f572,plain,
    ( sk_c9 = sk_c3
    | ~ spl0_1
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f571,f561]) ).

fof(f561,plain,
    ( sk_c9 = multiply(sk_c8,sk_c8)
    | ~ spl0_1
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f560,f535]) ).

fof(f560,plain,
    ( sk_c9 = multiply(sk_c1,sk_c8)
    | spl0_4 ),
    inference(subsumption_resolution,[],[f21,f443]) ).

fof(f443,plain,
    ( sk_c9 != inverse(sk_c6)
    | spl0_4 ),
    inference(avatar_component_clause,[],[f442]) ).

fof(f571,plain,
    ( sk_c3 = multiply(sk_c8,sk_c8)
    | ~ spl0_1
    | spl0_4 ),
    inference(forward_demodulation,[],[f568,f47]) ).

fof(f568,plain,
    ( sk_c3 = multiply(inverse(sk_c9),sk_c8)
    | spl0_4 ),
    inference(superposition,[],[f69,f566]) ).

fof(f566,plain,
    ( sk_c8 = multiply(sk_c9,sk_c3)
    | spl0_4 ),
    inference(subsumption_resolution,[],[f27,f443]) ).

fof(f581,plain,
    ( identity = sk_c3
    | ~ spl0_1
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f580,f414]) ).

fof(f580,plain,
    ( sk_c3 = multiply(sk_c8,sk_c9)
    | ~ spl0_1
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f579,f535]) ).

fof(f579,plain,
    ( sk_c3 = multiply(sk_c1,sk_c9)
    | ~ spl0_1
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f578,f472]) ).

fof(f472,plain,
    ( sk_c1 = sk_c2
    | ~ spl0_1
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f471,f451]) ).

fof(f471,plain,
    ( sk_c2 = multiply(sk_c8,identity)
    | ~ spl0_1
    | spl0_4 ),
    inference(forward_demodulation,[],[f468,f47]) ).

fof(f468,plain,
    ( sk_c2 = multiply(inverse(sk_c9),identity)
    | spl0_4 ),
    inference(superposition,[],[f69,f466]) ).

fof(f466,plain,
    ( identity = multiply(sk_c9,sk_c2)
    | spl0_4 ),
    inference(superposition,[],[f2,f464]) ).

fof(f464,plain,
    ( sk_c9 = inverse(sk_c2)
    | spl0_4 ),
    inference(subsumption_resolution,[],[f39,f443]) ).

fof(f578,plain,
    ( sk_c3 = multiply(sk_c2,sk_c9)
    | spl0_4 ),
    inference(subsumption_resolution,[],[f33,f443]) ).

fof(f903,plain,
    ( ! [X3,X6,X9,X5] :
        ( identity != multiply(X3,identity)
        | identity != multiply(inverse(X6),identity)
        | identity != multiply(identity,multiply(X9,identity))
        | identity != multiply(identity,multiply(X5,identity))
        | identity != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X9)
        | sk_c9 != multiply(X6,inverse(X6)) )
    | ~ spl0_1
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f902,f582]) ).

fof(f902,plain,
    ( ! [X3,X6,X9,X5] :
        ( sk_c9 != multiply(X3,sk_c9)
        | identity != multiply(inverse(X6),identity)
        | identity != multiply(identity,multiply(X9,identity))
        | identity != multiply(identity,multiply(X5,identity))
        | identity != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X9)
        | sk_c9 != multiply(X6,inverse(X6)) )
    | ~ spl0_1
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f901,f585]) ).

fof(f585,plain,
    ( sk_c9 = sk_c8
    | ~ spl0_1
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f584,f488]) ).

fof(f584,plain,
    ( sk_c8 = multiply(sk_c9,identity)
    | ~ spl0_1
    | ~ spl0_3
    | spl0_4 ),
    inference(superposition,[],[f566,f581]) ).

fof(f901,plain,
    ( ! [X3,X6,X9,X5] :
        ( identity != multiply(inverse(X6),identity)
        | identity != multiply(identity,multiply(X9,identity))
        | identity != multiply(identity,multiply(X5,identity))
        | identity != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X9)
        | sk_c9 != multiply(X3,sk_c8)
        | sk_c9 != multiply(X6,inverse(X6)) )
    | ~ spl0_1
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f900,f582]) ).

fof(f900,plain,
    ( ! [X3,X6,X9,X5] :
        ( sk_c9 != multiply(inverse(X6),sk_c9)
        | identity != multiply(identity,multiply(X9,identity))
        | identity != multiply(identity,multiply(X5,identity))
        | identity != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X9)
        | sk_c9 != multiply(X3,sk_c8)
        | sk_c9 != multiply(X6,inverse(X6)) )
    | ~ spl0_1
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f899,f585]) ).

fof(f899,plain,
    ( ! [X3,X6,X9,X5] :
        ( identity != multiply(identity,multiply(X9,identity))
        | identity != multiply(identity,multiply(X5,identity))
        | identity != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X9)
        | sk_c9 != multiply(inverse(X6),sk_c8)
        | sk_c9 != multiply(X3,sk_c8)
        | sk_c9 != multiply(X6,inverse(X6)) )
    | ~ spl0_1
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f898,f582]) ).

fof(f898,plain,
    ( ! [X3,X6,X9,X5] :
        ( sk_c9 != multiply(identity,multiply(X9,identity))
        | identity != multiply(identity,multiply(X5,identity))
        | identity != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X9)
        | sk_c9 != multiply(inverse(X6),sk_c8)
        | sk_c9 != multiply(X3,sk_c8)
        | sk_c9 != multiply(X6,inverse(X6)) )
    | ~ spl0_1
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f897,f585]) ).

fof(f897,plain,
    ( ! [X3,X6,X9,X5] :
        ( sk_c8 != multiply(identity,multiply(X9,identity))
        | identity != multiply(identity,multiply(X5,identity))
        | identity != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X9)
        | sk_c9 != multiply(inverse(X6),sk_c8)
        | sk_c9 != multiply(X3,sk_c8)
        | sk_c9 != multiply(X6,inverse(X6)) )
    | ~ spl0_1
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f896,f582]) ).

fof(f896,plain,
    ( ! [X3,X6,X9,X5] :
        ( identity != multiply(identity,multiply(X5,identity))
        | identity != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X9)
        | sk_c8 != multiply(sk_c9,multiply(X9,sk_c9))
        | sk_c9 != multiply(inverse(X6),sk_c8)
        | sk_c9 != multiply(X3,sk_c8)
        | sk_c9 != multiply(X6,inverse(X6)) )
    | ~ spl0_1
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f895,f582]) ).

fof(f895,plain,
    ( ! [X3,X6,X9,X5] :
        ( sk_c9 != multiply(identity,multiply(X5,identity))
        | identity != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X9)
        | sk_c8 != multiply(sk_c9,multiply(X9,sk_c9))
        | sk_c9 != multiply(inverse(X6),sk_c8)
        | sk_c9 != multiply(X3,sk_c8)
        | sk_c9 != multiply(X6,inverse(X6)) )
    | ~ spl0_1
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f894,f585]) ).

fof(f894,plain,
    ( ! [X3,X6,X9,X5] :
        ( sk_c8 != multiply(identity,multiply(X5,identity))
        | identity != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X9)
        | sk_c8 != multiply(sk_c9,multiply(X9,sk_c9))
        | sk_c9 != multiply(inverse(X6),sk_c8)
        | sk_c9 != multiply(X3,sk_c8)
        | sk_c9 != multiply(X6,inverse(X6)) )
    | ~ spl0_1
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f893,f582]) ).

fof(f893,plain,
    ( ! [X3,X6,X9,X5] :
        ( identity != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X9)
        | sk_c8 != multiply(sk_c9,multiply(X5,sk_c9))
        | sk_c8 != multiply(sk_c9,multiply(X9,sk_c9))
        | sk_c9 != multiply(inverse(X6),sk_c8)
        | sk_c9 != multiply(X3,sk_c8)
        | sk_c9 != multiply(X6,inverse(X6)) )
    | ~ spl0_1
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f892,f582]) ).

fof(f892,plain,
    ( ! [X3,X6,X9,X5] :
        ( identity != inverse(X3)
        | identity != inverse(X9)
        | sk_c9 != inverse(X5)
        | sk_c8 != multiply(sk_c9,multiply(X5,sk_c9))
        | sk_c8 != multiply(sk_c9,multiply(X9,sk_c9))
        | sk_c9 != multiply(inverse(X6),sk_c8)
        | sk_c9 != multiply(X3,sk_c8)
        | sk_c9 != multiply(X6,inverse(X6)) )
    | ~ spl0_1
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f891,f582]) ).

fof(f891,plain,
    ( ! [X3,X6,X9,X5] :
        ( identity != inverse(X9)
        | sk_c9 != inverse(X3)
        | sk_c9 != inverse(X5)
        | sk_c8 != multiply(sk_c9,multiply(X5,sk_c9))
        | sk_c8 != multiply(sk_c9,multiply(X9,sk_c9))
        | sk_c9 != multiply(inverse(X6),sk_c8)
        | sk_c9 != multiply(X3,sk_c8)
        | sk_c9 != multiply(X6,inverse(X6)) )
    | ~ spl0_1
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f890,f582]) ).

fof(f445,plain,
    ( spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f15,f442,f438]) ).

fof(f383,plain,
    ( spl0_1
    | ~ spl0_2 ),
    inference(avatar_contradiction_clause,[],[f382]) ).

fof(f382,plain,
    ( $false
    | spl0_1
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f381,f81]) ).

fof(f81,plain,
    ( sk_c9 = sk_c8
    | spl0_1 ),
    inference(superposition,[],[f78,f58]) ).

fof(f58,plain,
    ( sk_c8 = multiply(sk_c9,sk_c7)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f7,f46]) ).

fof(f46,plain,
    ( inverse(sk_c9) != sk_c8
    | spl0_1 ),
    inference(avatar_component_clause,[],[f45]) ).

fof(f78,plain,
    ( sk_c9 = multiply(sk_c9,sk_c7)
    | spl0_1 ),
    inference(superposition,[],[f73,f59]) ).

fof(f59,plain,
    ( sk_c7 = multiply(sk_c6,sk_c9)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f8,f46]) ).

fof(f73,plain,
    ( ! [X0] : multiply(sk_c9,multiply(sk_c6,X0)) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f68,f1]) ).

fof(f68,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c6,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f55]) ).

fof(f55,plain,
    ( identity = multiply(sk_c9,sk_c6)
    | spl0_1 ),
    inference(superposition,[],[f2,f54]) ).

fof(f54,plain,
    ( sk_c9 = inverse(sk_c6)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f9,f46]) ).

fof(f381,plain,
    ( sk_c9 != sk_c8
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f362,f201]) ).

fof(f201,plain,
    ( sk_c9 = inverse(identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f54,f176]) ).

fof(f176,plain,
    ( identity = sk_c6
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f150,f55]) ).

fof(f150,plain,
    ( ! [X0] : multiply(sk_c9,X0) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f141,f73]) ).

fof(f141,plain,
    ( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c9,multiply(sk_c9,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f140,f85]) ).

fof(f85,plain,
    ( sk_c9 = sk_c5
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f84,f74]) ).

fof(f74,plain,
    ( sk_c5 = multiply(sk_c5,sk_c9)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f72,f56]) ).

fof(f56,plain,
    ( sk_c9 = multiply(sk_c4,sk_c5)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f4,f46]) ).

fof(f84,plain,
    ( sk_c9 = multiply(sk_c5,sk_c9)
    | spl0_1 ),
    inference(superposition,[],[f57,f81]) ).

fof(f57,plain,
    ( sk_c9 = multiply(sk_c5,sk_c8)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f6,f46]) ).

fof(f140,plain,
    ( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c5,multiply(sk_c9,X0))
    | spl0_1 ),
    inference(forward_demodulation,[],[f64,f81]) ).

fof(f64,plain,
    ( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c5,multiply(sk_c8,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f57]) ).

fof(f362,plain,
    ( sk_c8 != inverse(identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f46,f345]) ).

fof(f345,plain,
    ( identity = sk_c9
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f344,f159]) ).

fof(f159,plain,
    ( identity = multiply(sk_c9,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f141,f55]) ).

fof(f344,plain,
    ( sk_c9 = multiply(sk_c9,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f343,f85]) ).

fof(f343,plain,
    ( sk_c9 = multiply(sk_c5,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f57,f328]) ).

fof(f328,plain,
    ( identity = sk_c8
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f327,f2]) ).

fof(f327,plain,
    ( sk_c8 = multiply(inverse(sk_c9),sk_c9)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f280,f85]) ).

fof(f280,plain,
    ( sk_c8 = multiply(inverse(sk_c5),sk_c9)
    | spl0_1 ),
    inference(superposition,[],[f69,f57]) ).

fof(f52,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f5,f49,f45]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GRP237-1 : TPTP v8.2.0. Released v2.5.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.37  % Computer : n022.cluster.edu
% 0.13/0.37  % Model    : x86_64 x86_64
% 0.13/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37  % Memory   : 8042.1875MB
% 0.13/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.37  % CPULimit   : 300
% 0.13/0.37  % WCLimit    : 300
% 0.13/0.37  % DateTime   : Sun May 19 06:10:53 EDT 2024
% 0.13/0.37  % CPUTime    : 
% 0.13/0.38  % (9274)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.39  % (9278)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.39  TRYING [1]
% 0.22/0.39  % (9277)WARNING: value z3 for option sas not known
% 0.22/0.39  TRYING [2]
% 0.22/0.40  % (9275)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.40  % (9276)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.40  % (9277)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)
% 0.22/0.40  % (9279)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)
% 0.22/0.40  % (9280)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)
% 0.22/0.40  % (9281)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)
% 0.22/0.40  TRYING [3]
% 0.22/0.40  TRYING [1]
% 0.22/0.40  TRYING [2]
% 0.22/0.41  TRYING [4]
% 0.22/0.41  TRYING [3]
% 0.22/0.42  TRYING [5]
% 0.22/0.43  TRYING [4]
% 0.22/0.46  TRYING [6]
% 0.22/0.48  % (9277)First to succeed.
% 0.22/0.49  % (9277)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-9274"
% 0.22/0.49  % (9277)Refutation found. Thanks to Tanya!
% 0.22/0.49  % SZS status Unsatisfiable for theBenchmark
% 0.22/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.50  % (9277)------------------------------
% 0.22/0.50  % (9277)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.50  % (9277)Termination reason: Refutation
% 0.22/0.50  
% 0.22/0.50  % (9277)Memory used [KB]: 1957
% 0.22/0.50  % (9277)Time elapsed: 0.097 s
% 0.22/0.50  % (9277)Instructions burned: 192 (million)
% 0.22/0.50  % (9274)Success in time 0.119 s
%------------------------------------------------------------------------------