%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GRP387-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n003.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 06:08:24 EDT 2024

% Result   : Unsatisfiable 0.16s 0.43s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   33
%            Number of leaves      :   43
% Syntax   : Number of formulae    :  954 ( 147 unt;   0 def)
%            Number of atoms       : 3630 (1265 equ)
%            Maximal formula atoms :   14 (   3 avg)
%            Number of connectives : 4937 (2261   ~;2667   |;   0   &)
%                                         (   9 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   5 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :   11 (   9 usr;  10 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :  573 ( 573   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3394,plain,
    $false,
    inference(avatar_sat_refutation,[],[f43,f268,f332,f1252,f1363,f1428,f1504,f1889,f2293,f2320,f2325,f2330,f2334,f2338,f2340,f2342,f2344,f2350,f2356,f2359,f2365,f2371,f2517,f2520,f2525,f2560,f2573,f2575,f2577,f2579,f2581,f2583,f2585,f2587,f2589,f2591,f2593,f2595,f2598,f2600,f2602,f2604,f2606,f2608,f2610,f2612,f2614,f2616,f2618,f2620,f2622,f2624,f2626,f2628,f2630,f2632,f2838,f2841,f2847,f2851,f2853,f2855,f2857,f2859,f2861,f2863,f2865,f2867,f2869,f2871,f2873,f2875,f2877,f2879,f2881,f2883,f2885,f2888,f2890,f2892,f2894,f2896,f2898,f2900,f2902,f2904,f2906,f2908,f2910,f2912,f2914,f2917,f2919,f2921,f2924,f2926,f2929,f2931,f2933,f2935,f2937,f3027,f3049,f3051,f3077,f3079,f3081,f3084,f3393]) ).

fof(f3393,plain,
    ( spl0_5
    | spl0_5
    | spl0_5
    | spl0_5
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f3306,f1501,f1360,f1356,f40,f36,f1250,f1250,f1250,f1250]) ).

fof(f1250,plain,
    ( spl0_5
  <=> ! [X5] :
        ( identity != multiply(X5,identity)
        | identity != inverse(X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f36,plain,
    ( spl0_1
  <=> inverse(sk_c7) = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f40,plain,
    ( spl0_2
  <=> sk_c7 = inverse(sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f1356,plain,
    ( spl0_6
  <=> identity = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f1360,plain,
    ( spl0_7
  <=> sk_c7 = multiply(sk_c6,sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f1501,plain,
    ( spl0_9
  <=> identity = multiply(identity,sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f3306,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(X3,identity)
        | identity != multiply(X4,identity)
        | identity != multiply(X6,identity)
        | identity != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X6) )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3305,f1430]) ).

fof(f1430,plain,
    ( identity = sk_c7
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f1429,f1]) ).

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

fof(f1429,plain,
    ( sk_c7 = multiply(identity,identity)
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f1362,f1358]) ).

fof(f1358,plain,
    ( identity = sk_c6
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f1356]) ).

fof(f1362,plain,
    ( sk_c7 = multiply(sk_c6,sk_c6)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f1360]) ).

fof(f3305,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != multiply(X3,sk_c7)
        | identity != multiply(X4,identity)
        | identity != multiply(X6,identity)
        | identity != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X6) )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3304,f3060]) ).

fof(f3060,plain,
    ( sk_c7 = sk_c6
    | spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3058,f613]) ).

fof(f613,plain,
    ! [X0] : multiply(X0,identity) = X0,
    inference(superposition,[],[f151,f139]) ).

fof(f139,plain,
    ! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[],[f61,f2]) ).

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

fof(f61,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f53,f1]) ).

fof(f53,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(f151,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
    inference(superposition,[],[f61,f61]) ).

fof(f3058,plain,
    ( sk_c6 = multiply(sk_c7,identity)
    | spl0_2
    | ~ spl0_9 ),
    inference(superposition,[],[f2816,f2403]) ).

fof(f2403,plain,
    ( identity = sk_c5
    | ~ spl0_9 ),
    inference(superposition,[],[f1503,f1]) ).

fof(f1503,plain,
    ( identity = multiply(identity,sk_c5)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f1501]) ).

fof(f2816,plain,
    ( sk_c6 = multiply(sk_c7,sk_c5)
    | spl0_2 ),
    inference(subsumption_resolution,[],[f17,f41]) ).

fof(f41,plain,
    ( sk_c7 != inverse(sk_c2)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f40]) ).

fof(f17,axiom,
    ( sk_c7 = inverse(sk_c2)
    | sk_c6 = multiply(sk_c7,sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).

fof(f3304,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(X4,identity)
        | identity != multiply(X6,identity)
        | identity != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3303,f1430]) ).

fof(f3303,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != multiply(X4,identity)
        | identity != multiply(X6,identity)
        | identity != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3302,f3060]) ).

fof(f3302,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c6 != multiply(X4,identity)
        | identity != multiply(X6,identity)
        | identity != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3301,f1430]) ).

fof(f3301,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(X6,identity)
        | identity != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3300,f1430]) ).

fof(f3300,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != multiply(X6,identity)
        | identity != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3299,f3042]) ).

fof(f3042,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_1
    | spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f3041,f1362]) ).

fof(f3041,plain,
    ( sk_c5 = multiply(sk_c6,sk_c6)
    | ~ spl0_1
    | spl0_2 ),
    inference(forward_demodulation,[],[f3035,f38]) ).

fof(f38,plain,
    ( inverse(sk_c7) = sk_c6
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f36]) ).

fof(f3035,plain,
    ( sk_c5 = multiply(inverse(sk_c7),sk_c6)
    | spl0_2 ),
    inference(superposition,[],[f61,f2816]) ).

fof(f3299,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c5 != multiply(X6,identity)
        | identity != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3298,f1430]) ).

fof(f3298,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c5 != multiply(X6,sk_c7)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3297,f1430]) ).

fof(f3297,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c5 != multiply(X6,sk_c7)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3296,f3042]) ).

fof(f3296,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c5 != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c5 != multiply(X6,sk_c7)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3295,f1430]) ).

fof(f3295,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c5 != multiply(X5,sk_c7)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c5 != multiply(X6,sk_c7)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3294,f3060]) ).

fof(f3294,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c5 != multiply(X5,sk_c6)
        | sk_c5 != multiply(X6,sk_c7)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3293,f1430]) ).

fof(f3293,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c7 != inverse(X4)
        | sk_c5 != multiply(X5,sk_c6)
        | sk_c5 != multiply(X6,sk_c7)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3292,f1430]) ).

fof(f3292,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c5 != multiply(X5,sk_c6)
        | sk_c5 != multiply(X6,sk_c7)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3291,f1430]) ).

fof(f3291,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != inverse(X5)
        | identity != inverse(X6)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c5 != multiply(X5,sk_c6)
        | sk_c5 != multiply(X6,sk_c7)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3290,f3060]) ).

fof(f3290,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != inverse(X6)
        | sk_c6 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c5 != multiply(X5,sk_c6)
        | sk_c5 != multiply(X6,sk_c7)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f3289,f1430]) ).

fof(f3289,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != inverse(X6)
        | sk_c6 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c5 != multiply(X5,sk_c6)
        | sk_c5 != multiply(X6,sk_c7)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f3288,f3042]) ).

fof(f3288,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c5 != inverse(X6)
        | sk_c6 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c5 != multiply(X5,sk_c6)
        | sk_c5 != multiply(X6,sk_c7)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_1
    | spl0_2 ),
    inference(subsumption_resolution,[],[f3287,f2752]) ).

fof(f2752,plain,
    ( sk_c7 = multiply(sk_c6,sk_c5)
    | spl0_2 ),
    inference(subsumption_resolution,[],[f11,f41]) ).

fof(f11,axiom,
    ( sk_c7 = inverse(sk_c2)
    | sk_c7 = multiply(sk_c6,sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).

fof(f3287,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c5 != inverse(X6)
        | sk_c6 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c5 != multiply(X5,sk_c6)
        | sk_c5 != multiply(X6,sk_c7)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c7 != multiply(sk_c6,sk_c5)
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_1
    | spl0_2 ),
    inference(subsumption_resolution,[],[f726,f2816]) ).

fof(f726,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c5 != inverse(X6)
        | sk_c6 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c5 != multiply(X5,sk_c6)
        | sk_c5 != multiply(X6,sk_c7)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c7 != multiply(sk_c6,sk_c5)
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f34,f38]) ).

fof(f34,axiom,
    ! [X3,X6,X4,X5] :
      ( sk_c5 != inverse(X6)
      | sk_c6 != inverse(X5)
      | sk_c7 != inverse(X3)
      | sk_c7 != inverse(X4)
      | inverse(sk_c7) != sk_c6
      | sk_c5 != multiply(X5,sk_c6)
      | sk_c5 != multiply(X6,sk_c7)
      | sk_c6 != multiply(sk_c7,sk_c5)
      | sk_c6 != multiply(X4,sk_c7)
      | sk_c7 != multiply(sk_c6,sk_c5)
      | sk_c7 != multiply(X3,sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).

fof(f3084,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_6
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3083]) ).

fof(f3083,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_6
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f61,f140,f34,f30,f32,f31,f24,f9,f6,f4,f26,f8,f7,f38,f281,f284,f282,f280,f297,f289,f305,f307,f138,f321,f25,f291,f351,f352,f347,f361,f358,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f906,f1296,f18,f12,f19,f14,f13,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f2192,f2163,f2151,f2058,f726,f21,f1029,f15,f1147,f1167,f1357,f2396,f2406,f2417,f2418,f33,f2191,f2190,f2182,f2181,f2177,f2636,f2638,f2639,f2158,f836,f823,f803,f2087,f2081,f2640,f1273,f1027,f1020,f1006,f1290,f827,f824,f1257,f1138,f1279,f1278,f1143,f1269,f1177,f1039,f961,f960,f950,f949,f1304,f1303,f697,f691,f645,f644,f634,f633,f588,f585,f959,f10,f16,f1008,f1270,f1139,f1028,f1021,f837,f795,f791,f746,f28,f2660,f355,f349,f29,f17,f11,f23,f41,f948,f1503,f22,f2886,f629,f640,f2657,f2658,f669,f1274,f1179,f2124,f27,f1157,f2833,f1362,f2970,f2752,f2991,f2985,f2981,f20,f3030,f2816,f3037,f3032,f3036,f3042,f3046,f3047,f3055,f2403,f3056,f3057,f3059,f3060,f3061,f3062,f3074,f3066,f3068,f3069,f3082]) ).

fof(f3082,plain,
    ( sk_c7 = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3071,f3042]) ).

fof(f3071,plain,
    ( sk_c7 = multiply(sk_c7,sk_c5)
    | spl0_2
    | ~ spl0_9 ),
    inference(superposition,[],[f2752,f3060]) ).

fof(f3069,plain,
    ( sk_c7 = multiply(sk_c7,sk_c7)
    | spl0_2
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(superposition,[],[f1362,f3060]) ).

fof(f3068,plain,
    ( identity != sk_c7
    | spl0_2
    | spl0_6
    | ~ spl0_9 ),
    inference(superposition,[],[f1357,f3060]) ).

fof(f3066,plain,
    ( identity = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_9 ),
    inference(superposition,[],[f347,f3060]) ).

fof(f3074,plain,
    ( identity = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3064,f631]) ).

fof(f3064,plain,
    ( identity = multiply(inverse(inverse(sk_c7)),sk_c7)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_9 ),
    inference(superposition,[],[f289,f3060]) ).

fof(f3062,plain,
    ( identity = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_9 ),
    inference(superposition,[],[f281,f3060]) ).

fof(f3061,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c7,X0)) = X0
    | ~ spl0_1
    | spl0_2
    | ~ spl0_9 ),
    inference(superposition,[],[f280,f3060]) ).

fof(f3059,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(superposition,[],[f3042,f2403]) ).

fof(f3057,plain,
    ( sk_c7 = multiply(sk_c6,identity)
    | spl0_2
    | ~ spl0_9 ),
    inference(superposition,[],[f2752,f2403]) ).

fof(f3056,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(superposition,[],[f2403,f3042]) ).

fof(f3055,plain,
    ( identity = multiply(identity,sk_c7)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1503,f3042]) ).

fof(f3047,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f3045,f281]) ).

fof(f3045,plain,
    ( sk_c7 = multiply(sk_c6,sk_c7)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_7 ),
    inference(superposition,[],[f2752,f3042]) ).

fof(f3046,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_7 ),
    inference(superposition,[],[f2816,f3042]) ).

fof(f3036,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c5,X0))
    | spl0_2 ),
    inference(superposition,[],[f3,f2816]) ).

fof(f3032,plain,
    ( sk_c7 = multiply(sk_c6,inverse(sk_c5))
    | spl0_2 ),
    inference(superposition,[],[f1072,f2816]) ).

fof(f3037,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_1
    | spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f3031,f1362]) ).

fof(f3031,plain,
    ( sk_c5 = multiply(sk_c6,sk_c6)
    | ~ spl0_1
    | spl0_2 ),
    inference(superposition,[],[f280,f2816]) ).

fof(f3030,plain,
    ( sk_c6 = multiply(sk_c7,sk_c5)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f61,f140,f34,f30,f32,f31,f24,f9,f6,f4,f26,f8,f7,f138,f321,f25,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f906,f1296,f18,f12,f19,f14,f13,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f21,f15,f33,f2190,f2181,f2636,f2638,f2639,f2158,f836,f823,f803,f2087,f2081,f2640,f1273,f1027,f1020,f1006,f1257,f1138,f1279,f1278,f1177,f1039,f961,f960,f950,f949,f1304,f1303,f697,f691,f645,f644,f634,f633,f588,f585,f10,f16,f28,f29,f17,f11,f23,f41,f22,f2886,f27,f2833,f2752,f2985,f2816,f2981,f20]) ).

fof(f20,axiom,
    ( sk_c5 = inverse(sk_c4)
    | sk_c6 = multiply(sk_c7,sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).

fof(f2981,plain,
    ( sk_c6 = multiply(sk_c7,inverse(sk_c5))
    | spl0_2 ),
    inference(superposition,[],[f1072,f2752]) ).

fof(f2985,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c6,multiply(sk_c5,X0))
    | spl0_2 ),
    inference(superposition,[],[f3,f2752]) ).

fof(f2991,plain,
    ( identity = multiply(sk_c6,multiply(sk_c5,sk_c6))
    | ~ spl0_1
    | spl0_2 ),
    inference(forward_demodulation,[],[f2983,f38]) ).

fof(f2983,plain,
    ( identity = multiply(sk_c6,multiply(sk_c5,inverse(sk_c7)))
    | spl0_2 ),
    inference(superposition,[],[f696,f2752]) ).

fof(f2970,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c6,multiply(sk_c6,X0))
    | ~ spl0_7 ),
    inference(superposition,[],[f3,f1362]) ).

fof(f2833,plain,
    ( sk_c7 = multiply(sk_c1,sk_c6)
    | spl0_2 ),
    inference(subsumption_resolution,[],[f29,f41]) ).

fof(f1157,plain,
    ( sk_c7 = multiply(identity,inverse(sk_c6))
    | ~ spl0_1 ),
    inference(superposition,[],[f1072,f347]) ).

fof(f27,axiom,
    ( sk_c7 = inverse(sk_c1)
    | sk_c5 = multiply(sk_c4,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).

fof(f2124,plain,
    ( sk_c7 = inverse(sk_c6)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f2075,f1166]) ).

fof(f2075,plain,
    ( ! [X0] : inverse(sk_c6) = multiply(multiply(sk_c7,inverse(X0)),X0)
    | ~ spl0_1 ),
    inference(superposition,[],[f1166,f291]) ).

fof(f1179,plain,
    ( sk_c7 = inverse(sk_c6)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1134,f1072]) ).

fof(f1134,plain,
    ( ! [X0] : inverse(sk_c6) = multiply(multiply(sk_c7,X0),inverse(X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f1072,f291]) ).

fof(f1274,plain,
    ( sk_c7 = inverse(sk_c6)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1002,f1072]) ).

fof(f1002,plain,
    ( ! [X0] : inverse(sk_c6) = multiply(multiply(sk_c7,X0),inverse(X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f979,f280]) ).

fof(f669,plain,
    ( sk_c7 = inverse(sk_c6)
    | ~ spl0_1 ),
    inference(superposition,[],[f631,f38]) ).

fof(f2658,plain,
    ( sk_c7 = inverse(sk_c6)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f636,f613]) ).

fof(f636,plain,
    ( multiply(sk_c7,identity) = inverse(sk_c6)
    | ~ spl0_1 ),
    inference(superposition,[],[f613,f291]) ).

fof(f2657,plain,
    ( sk_c7 = inverse(sk_c6)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f647,f613]) ).

fof(f647,plain,
    ( multiply(sk_c7,identity) = inverse(sk_c6)
    | ~ spl0_1 ),
    inference(superposition,[],[f291,f613]) ).

fof(f640,plain,
    ( sk_c7 = inverse(sk_c6)
    | ~ spl0_1 ),
    inference(superposition,[],[f282,f613]) ).

fof(f629,plain,
    ( sk_c7 = inverse(sk_c6)
    | ~ spl0_1 ),
    inference(superposition,[],[f613,f282]) ).

fof(f2886,plain,
    ( sk_c7 = inverse(sk_c1)
    | spl0_2 ),
    inference(subsumption_resolution,[],[f23,f41]) ).

fof(f22,axiom,
    ( sk_c7 = inverse(sk_c1)
    | sk_c6 = multiply(sk_c2,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).

fof(f948,plain,
    ( identity = inverse(identity)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f843,f281]) ).

fof(f843,plain,
    ( identity = inverse(multiply(sk_c6,sk_c7))
    | ~ spl0_1 ),
    inference(superposition,[],[f696,f280]) ).

fof(f23,axiom,
    ( sk_c7 = inverse(sk_c2)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).

fof(f29,axiom,
    ( sk_c7 = inverse(sk_c2)
    | sk_c7 = multiply(sk_c1,sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).

fof(f349,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c6,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f291,f61]) ).

fof(f355,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c6,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f61,f291]) ).

fof(f2660,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c6,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f360,f1]) ).

fof(f360,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c6,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f347]) ).

fof(f28,axiom,
    ( sk_c6 = multiply(sk_c2,sk_c7)
    | sk_c7 = multiply(sk_c1,sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).

fof(f746,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c6,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f614,f38]) ).

fof(f791,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c6,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f765,f151]) ).

fof(f765,plain,
    ( ! [X0] : multiply(sk_c7,multiply(inverse(inverse(sk_c6)),X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f614,f291]) ).

fof(f795,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c6,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f771,f151]) ).

fof(f771,plain,
    ( ! [X0] : multiply(sk_c7,multiply(inverse(inverse(sk_c6)),X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f291,f614]) ).

fof(f837,plain,
    ( ! [X0] : identity = multiply(X0,multiply(sk_c7,inverse(multiply(X0,inverse(sk_c6)))))
    | ~ spl0_1 ),
    inference(superposition,[],[f696,f291]) ).

fof(f1021,plain,
    ( ! [X0] : inverse(X0) = multiply(sk_c7,inverse(multiply(X0,inverse(sk_c6))))
    | ~ spl0_1 ),
    inference(superposition,[],[f979,f291]) ).

fof(f1028,plain,
    ( ! [X0] : inverse(X0) = multiply(sk_c7,inverse(multiply(X0,inverse(sk_c6))))
    | ~ spl0_1 ),
    inference(superposition,[],[f291,f979]) ).

fof(f1139,plain,
    ( inverse(sk_c6) = multiply(sk_c7,inverse(identity))
    | ~ spl0_1 ),
    inference(superposition,[],[f1072,f282]) ).

fof(f1270,plain,
    ( inverse(sk_c6) = multiply(sk_c7,inverse(identity))
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1009,f631]) ).

fof(f1009,plain,
    ( inverse(inverse(inverse(sk_c6))) = multiply(sk_c7,inverse(identity))
    | ~ spl0_1 ),
    inference(superposition,[],[f979,f289]) ).

fof(f1008,plain,
    ( inverse(sk_c6) = multiply(sk_c7,inverse(identity))
    | ~ spl0_1 ),
    inference(superposition,[],[f979,f281]) ).

fof(f16,axiom,
    ( sk_c6 = multiply(sk_c2,sk_c7)
    | sk_c6 = multiply(sk_c7,sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).

fof(f10,axiom,
    ( sk_c6 = multiply(sk_c2,sk_c7)
    | sk_c7 = multiply(sk_c6,sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).

fof(f959,plain,
    ( identity = inverse(identity)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f854,f281]) ).

fof(f854,plain,
    ( identity = inverse(multiply(sk_c6,sk_c7))
    | ~ spl0_1 ),
    inference(superposition,[],[f280,f696]) ).

fof(f585,plain,
    identity = inverse(identity),
    inference(superposition,[],[f555,f139]) ).

fof(f588,plain,
    identity = inverse(identity),
    inference(superposition,[],[f139,f555]) ).

fof(f633,plain,
    identity = inverse(identity),
    inference(superposition,[],[f613,f2]) ).

fof(f634,plain,
    identity = inverse(identity),
    inference(superposition,[],[f613,f138]) ).

fof(f644,plain,
    identity = inverse(identity),
    inference(superposition,[],[f2,f613]) ).

fof(f645,plain,
    identity = inverse(identity),
    inference(superposition,[],[f138,f613]) ).

fof(f691,plain,
    identity = inverse(identity),
    inference(superposition,[],[f611,f1]) ).

fof(f697,plain,
    identity = inverse(identity),
    inference(superposition,[],[f1,f611]) ).

fof(f1303,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f646,f631]) ).

fof(f646,plain,
    identity = inverse(inverse(inverse(identity))),
    inference(superposition,[],[f555,f613]) ).

fof(f1304,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f635,f631]) ).

fof(f635,plain,
    identity = inverse(inverse(inverse(identity))),
    inference(superposition,[],[f613,f555]) ).

fof(f949,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f844,f2]) ).

fof(f844,plain,
    ! [X0] : identity = inverse(multiply(inverse(X0),X0)),
    inference(superposition,[],[f696,f61]) ).

fof(f950,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f845,f611]) ).

fof(f845,plain,
    ! [X0] : identity = inverse(multiply(X0,inverse(X0))),
    inference(superposition,[],[f696,f614]) ).

fof(f960,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f855,f2]) ).

fof(f855,plain,
    ! [X0] : identity = inverse(multiply(inverse(X0),X0)),
    inference(superposition,[],[f61,f696]) ).

fof(f961,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f856,f611]) ).

fof(f856,plain,
    ! [X0] : identity = inverse(multiply(X0,inverse(X0))),
    inference(superposition,[],[f614,f696]) ).

fof(f1039,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f985,f611]) ).

fof(f985,plain,
    ! [X0] : inverse(identity) = multiply(X0,inverse(X0)),
    inference(superposition,[],[f979,f1]) ).

fof(f1177,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f1132,f611]) ).

fof(f1132,plain,
    ! [X0] : inverse(identity) = multiply(X0,inverse(X0)),
    inference(superposition,[],[f1072,f138]) ).

fof(f1269,plain,
    ( sk_c6 = multiply(sk_c6,inverse(identity))
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1011,f38]) ).

fof(f1011,plain,
    ( inverse(sk_c7) = multiply(sk_c6,inverse(identity))
    | ~ spl0_1 ),
    inference(superposition,[],[f979,f347]) ).

fof(f1143,plain,
    ( sk_c6 = multiply(sk_c6,inverse(identity))
    | ~ spl0_1 ),
    inference(superposition,[],[f1072,f358]) ).

fof(f1278,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(forward_demodulation,[],[f1277,f631]) ).

fof(f1277,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,inverse(identity)),
    inference(forward_demodulation,[],[f988,f631]) ).

fof(f988,plain,
    ! [X0] : inverse(inverse(inverse(inverse(X0)))) = multiply(X0,inverse(identity)),
    inference(superposition,[],[f979,f555]) ).

fof(f1279,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(forward_demodulation,[],[f986,f631]) ).

fof(f986,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,inverse(identity)),
    inference(superposition,[],[f979,f2]) ).

fof(f1138,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(superposition,[],[f1072,f613]) ).

fof(f1257,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(forward_demodulation,[],[f1141,f631]) ).

fof(f1141,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,inverse(identity)),
    inference(superposition,[],[f1072,f139]) ).

fof(f824,plain,
    ( identity = multiply(sk_c6,multiply(sk_c7,inverse(identity)))
    | ~ spl0_1 ),
    inference(superposition,[],[f696,f281]) ).

fof(f827,plain,
    ( identity = multiply(sk_c7,multiply(sk_c6,inverse(identity)))
    | ~ spl0_1 ),
    inference(superposition,[],[f696,f347]) ).

fof(f1290,plain,
    ( identity = multiply(sk_c6,multiply(sk_c7,inverse(identity)))
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f825,f631]) ).

fof(f825,plain,
    ( identity = multiply(inverse(inverse(sk_c6)),multiply(sk_c7,inverse(identity)))
    | ~ spl0_1 ),
    inference(superposition,[],[f696,f289]) ).

fof(f1006,plain,
    ! [X0] : inverse(X0) = multiply(inverse(X0),inverse(identity)),
    inference(superposition,[],[f979,f611]) ).

fof(f1020,plain,
    ! [X0] : inverse(X0) = inverse(multiply(X0,inverse(identity))),
    inference(superposition,[],[f979,f138]) ).

fof(f1027,plain,
    ! [X0] : inverse(X0) = inverse(multiply(X0,inverse(identity))),
    inference(superposition,[],[f138,f979]) ).

fof(f1273,plain,
    ! [X0] : inverse(X0) = multiply(inverse(X0),inverse(identity)),
    inference(forward_demodulation,[],[f1005,f979]) ).

fof(f1005,plain,
    ! [X0,X1] : inverse(X0) = multiply(multiply(X1,inverse(multiply(X0,X1))),inverse(identity)),
    inference(superposition,[],[f979,f696]) ).

fof(f2640,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f2071,f2]) ).

fof(f2071,plain,
    ! [X0] : multiply(inverse(X0),X0) = inverse(identity),
    inference(superposition,[],[f1166,f138]) ).

fof(f2081,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(superposition,[],[f1166,f613]) ).

fof(f2087,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(superposition,[],[f613,f1166]) ).

fof(f803,plain,
    ! [X0] : identity = multiply(inverse(X0),multiply(X0,inverse(identity))),
    inference(superposition,[],[f696,f2]) ).

fof(f823,plain,
    ! [X0] : identity = multiply(X0,multiply(inverse(X0),inverse(identity))),
    inference(superposition,[],[f696,f611]) ).

fof(f836,plain,
    ! [X0] : identity = multiply(X0,inverse(multiply(X0,inverse(identity)))),
    inference(superposition,[],[f696,f138]) ).

fof(f2158,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(superposition,[],[f983,f2]) ).

fof(f2639,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(forward_demodulation,[],[f2162,f631]) ).

fof(f2162,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,inverse(identity)),
    inference(superposition,[],[f983,f555]) ).

fof(f2638,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(forward_demodulation,[],[f2637,f631]) ).

fof(f2637,plain,
    ! [X0] : multiply(inverse(inverse(X0)),inverse(identity)) = X0,
    inference(forward_demodulation,[],[f2171,f979]) ).

fof(f2171,plain,
    ! [X0,X1] : multiply(multiply(X1,inverse(multiply(inverse(X0),X1))),inverse(identity)) = X0,
    inference(superposition,[],[f983,f696]) ).

fof(f2636,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(forward_demodulation,[],[f2172,f631]) ).

fof(f2172,plain,
    ! [X0] : multiply(inverse(inverse(X0)),inverse(identity)) = X0,
    inference(superposition,[],[f983,f611]) ).

fof(f2177,plain,
    ( inverse(sk_c6) = multiply(sk_c7,inverse(identity))
    | ~ spl0_1 ),
    inference(superposition,[],[f983,f289]) ).

fof(f2181,plain,
    ! [X0] : inverse(multiply(inverse(X0),inverse(identity))) = X0,
    inference(superposition,[],[f983,f138]) ).

fof(f2182,plain,
    ( ! [X0] : multiply(sk_c7,inverse(multiply(inverse(X0),inverse(sk_c6)))) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f983,f291]) ).

fof(f2190,plain,
    ! [X0] : inverse(multiply(inverse(X0),inverse(identity))) = X0,
    inference(superposition,[],[f138,f983]) ).

fof(f2191,plain,
    ( ! [X0] : multiply(sk_c7,inverse(multiply(inverse(X0),inverse(sk_c6)))) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f291,f983]) ).

fof(f33,axiom,
    ( sk_c5 = multiply(sk_c4,sk_c7)
    | sk_c7 = multiply(sk_c1,sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).

fof(f2418,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c5,X0)) = X0
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2411,f1]) ).

fof(f2411,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(identity,multiply(sk_c5,X0))
    | ~ spl0_9 ),
    inference(superposition,[],[f3,f1503]) ).

fof(f2417,plain,
    ( identity = sk_c5
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2410,f2]) ).

fof(f2410,plain,
    ( sk_c5 = multiply(inverse(identity),identity)
    | ~ spl0_9 ),
    inference(superposition,[],[f61,f1503]) ).

fof(f2406,plain,
    ( identity = sk_c5
    | ~ spl0_9 ),
    inference(superposition,[],[f1,f1503]) ).

fof(f2396,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c6,multiply(sk_c6,X0))
    | ~ spl0_7 ),
    inference(superposition,[],[f3,f1362]) ).

fof(f1357,plain,
    ( identity != sk_c6
    | spl0_6 ),
    inference(avatar_component_clause,[],[f1356]) ).

fof(f1167,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c7),sk_c6) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f1072,f38]) ).

fof(f1147,plain,
    ( ! [X0] : sk_c6 = multiply(X0,inverse(multiply(sk_c7,X0)))
    | ~ spl0_1 ),
    inference(superposition,[],[f1072,f280]) ).

fof(f15,axiom,
    ( sk_c5 = multiply(sk_c4,sk_c7)
    | sk_c7 = multiply(sk_c6,sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).

fof(f1029,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c7)) = multiply(sk_c6,inverse(X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f280,f979]) ).

fof(f21,axiom,
    ( sk_c5 = multiply(sk_c4,sk_c7)
    | sk_c6 = multiply(sk_c7,sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).

fof(f2058,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c6),sk_c7) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f1166,f38]) ).

fof(f2151,plain,
    ( ! [X0] : sk_c7 = multiply(X0,inverse(multiply(sk_c6,X0)))
    | ~ spl0_1 ),
    inference(superposition,[],[f983,f38]) ).

fof(f2163,plain,
    ( ! [X0] : sk_c6 = multiply(X0,inverse(multiply(sk_c7,X0)))
    | ~ spl0_1 ),
    inference(superposition,[],[f983,f291]) ).

fof(f2192,plain,
    ( ! [X0] : multiply(sk_c6,X0) = inverse(multiply(inverse(X0),sk_c7))
    | ~ spl0_1 ),
    inference(superposition,[],[f280,f983]) ).

fof(f2207,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,inverse(multiply(inverse(X2),multiply(X0,X1))))) = X2,
    inference(superposition,[],[f3,f983]) ).

fof(f2206,plain,
    ! [X0,X1] : multiply(X0,X1) = inverse(multiply(inverse(X1),inverse(X0))),
    inference(superposition,[],[f614,f983]) ).

fof(f2204,plain,
    ! [X2,X0,X1] : multiply(X1,X2) = multiply(X0,multiply(inverse(multiply(inverse(X1),X0)),X2)),
    inference(superposition,[],[f3,f983]) ).

fof(f2203,plain,
    ! [X0,X1] : multiply(inverse(X0),X1) = inverse(multiply(inverse(X1),X0)),
    inference(superposition,[],[f61,f983]) ).

fof(f2202,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(inverse(multiply(inverse(X1),X0)),inverse(X1))),
    inference(superposition,[],[f696,f983]) ).

fof(f2201,plain,
    ! [X0,X1] : inverse(X0) = multiply(inverse(multiply(inverse(X1),X0)),inverse(X1)),
    inference(superposition,[],[f979,f983]) ).

fof(f2185,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,inverse(multiply(inverse(X2),multiply(X0,X1))))) = X2,
    inference(superposition,[],[f983,f3]) ).

fof(f2174,plain,
    ! [X0,X1] : multiply(inverse(multiply(inverse(X1),inverse(X0))),inverse(X1)) = X0,
    inference(superposition,[],[f983,f983]) ).

fof(f2238,plain,
    ! [X0,X1] : multiply(inverse(multiply(X1,inverse(X0))),X1) = X0,
    inference(forward_demodulation,[],[f2173,f631]) ).

fof(f2173,plain,
    ! [X0,X1] : multiply(inverse(multiply(X1,inverse(X0))),inverse(inverse(X1))) = X0,
    inference(superposition,[],[f983,f979]) ).

fof(f983,plain,
    ! [X0,X1] : multiply(X1,inverse(multiply(inverse(X0),X1))) = X0,
    inference(forward_demodulation,[],[f867,f613]) ).

fof(f867,plain,
    ! [X0,X1] : multiply(X0,identity) = multiply(X1,inverse(multiply(inverse(X0),X1))),
    inference(superposition,[],[f614,f696]) ).

fof(f2085,plain,
    ! [X2,X0,X1] : multiply(X0,X2) = multiply(multiply(X0,inverse(X1)),multiply(X1,X2)),
    inference(superposition,[],[f3,f1166]) ).

fof(f2084,plain,
    ! [X0,X1] : multiply(inverse(multiply(X0,inverse(X1))),X0) = X1,
    inference(superposition,[],[f61,f1166]) ).

fof(f2083,plain,
    ! [X0,X1] : identity = multiply(multiply(X0,inverse(X1)),multiply(X1,inverse(X0))),
    inference(superposition,[],[f696,f1166]) ).

fof(f2082,plain,
    ! [X0,X1] : multiply(X1,inverse(X0)) = inverse(multiply(X0,inverse(X1))),
    inference(superposition,[],[f979,f1166]) ).

fof(f2079,plain,
    ! [X2,X0,X1] : multiply(X0,X1) = multiply(multiply(X0,multiply(X1,inverse(X2))),X2),
    inference(superposition,[],[f1166,f3]) ).

fof(f1166,plain,
    ! [X0,X1] : multiply(multiply(X1,inverse(X0)),X0) = X1,
    inference(superposition,[],[f1072,f631]) ).

fof(f13,axiom,
    ( sk_c6 = inverse(sk_c3)
    | sk_c7 = multiply(sk_c6,sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).

fof(f14,axiom,
    ( sk_c5 = inverse(sk_c4)
    | sk_c7 = multiply(sk_c6,sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).

fof(f19,axiom,
    ( sk_c6 = inverse(sk_c3)
    | sk_c6 = multiply(sk_c7,sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).

fof(f12,axiom,
    ( sk_c7 = multiply(sk_c6,sk_c5)
    | multiply(sk_c3,sk_c6) = sk_c5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).

fof(f18,axiom,
    ( sk_c6 = multiply(sk_c7,sk_c5)
    | multiply(sk_c3,sk_c6) = sk_c5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).

fof(f1296,plain,
    ! [X0] : identity = multiply(inverse(X0),multiply(X0,inverse(identity))),
    inference(forward_demodulation,[],[f805,f631]) ).

fof(f805,plain,
    ! [X0] : identity = multiply(inverse(inverse(inverse(X0))),multiply(X0,inverse(identity))),
    inference(superposition,[],[f696,f555]) ).

fof(f906,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),inverse(identity)))),
    inference(forward_demodulation,[],[f822,f3]) ).

fof(f822,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(multiply(X1,inverse(multiply(X0,X1))),inverse(identity))),
    inference(superposition,[],[f696,f696]) ).

fof(f1175,plain,
    ! [X2,X0,X1] : multiply(multiply(X0,X1),multiply(inverse(X1),X2)) = multiply(X0,X2),
    inference(superposition,[],[f3,f1072]) ).

fof(f1174,plain,
    ! [X0,X1] : inverse(X1) = multiply(inverse(multiply(X0,X1)),X0),
    inference(superposition,[],[f61,f1072]) ).

fof(f1173,plain,
    ! [X0,X1] : identity = multiply(multiply(X0,X1),multiply(inverse(X1),inverse(X0))),
    inference(superposition,[],[f696,f1072]) ).

fof(f1172,plain,
    ! [X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(X1),inverse(X0)),
    inference(superposition,[],[f979,f1072]) ).

fof(f1149,plain,
    ! [X0,X1] : multiply(X1,inverse(multiply(inverse(X0),X1))) = X0,
    inference(superposition,[],[f1072,f614]) ).

fof(f1137,plain,
    ! [X2,X0,X1] : multiply(X0,X1) = multiply(multiply(X0,multiply(X1,X2)),inverse(X2)),
    inference(superposition,[],[f1072,f3]) ).

fof(f1072,plain,
    ! [X0,X1] : multiply(multiply(X0,X1),inverse(X1)) = X0,
    inference(forward_demodulation,[],[f1003,f631]) ).

fof(f1003,plain,
    ! [X0,X1] : inverse(inverse(X0)) = multiply(multiply(X0,X1),inverse(X1)),
    inference(superposition,[],[f979,f61]) ).

fof(f1038,plain,
    ! [X2,X0,X1] : inverse(X2) = multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1))))),
    inference(superposition,[],[f3,f979]) ).

fof(f1037,plain,
    ! [X0,X1] : inverse(multiply(X1,inverse(X0))) = multiply(X0,inverse(X1)),
    inference(superposition,[],[f614,f979]) ).

fof(f1035,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(inverse(multiply(X1,X0)),X2)) = multiply(inverse(X1),X2),
    inference(superposition,[],[f3,f979]) ).

fof(f1034,plain,
    ! [X0,X1] : inverse(multiply(X1,X0)) = multiply(inverse(X0),inverse(X1)),
    inference(superposition,[],[f61,f979]) ).

fof(f1128,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(inverse(multiply(X1,X0)),X1)),
    inference(forward_demodulation,[],[f1033,f631]) ).

fof(f1033,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(inverse(multiply(X1,X0)),inverse(inverse(X1)))),
    inference(superposition,[],[f696,f979]) ).

fof(f1024,plain,
    ! [X2,X0,X1] : inverse(X2) = multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1))))),
    inference(superposition,[],[f979,f3]) ).

fof(f1076,plain,
    ! [X0,X1] : inverse(X0) = multiply(inverse(multiply(X1,X0)),X1),
    inference(forward_demodulation,[],[f1007,f631]) ).

fof(f1007,plain,
    ! [X0,X1] : inverse(X0) = multiply(inverse(multiply(X1,X0)),inverse(inverse(X1))),
    inference(superposition,[],[f979,f979]) ).

fof(f1004,plain,
    ! [X0,X1] : inverse(X0) = multiply(multiply(inverse(X0),X1),inverse(X1)),
    inference(superposition,[],[f979,f614]) ).

fof(f992,plain,
    ! [X2,X0,X1] : inverse(multiply(X0,X1)) = multiply(X2,inverse(multiply(X0,multiply(X1,X2)))),
    inference(superposition,[],[f979,f3]) ).

fof(f979,plain,
    ! [X0,X1] : inverse(X0) = multiply(X1,inverse(multiply(X0,X1))),
    inference(forward_demodulation,[],[f864,f613]) ).

fof(f864,plain,
    ! [X0,X1] : multiply(inverse(X0),identity) = multiply(X1,inverse(multiply(X0,X1))),
    inference(superposition,[],[f61,f696]) ).

fof(f984,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(X0,multiply(X1,X2)))))),
    inference(forward_demodulation,[],[f868,f3]) ).

fof(f868,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(multiply(X0,X1),X2))))),
    inference(superposition,[],[f3,f696]) ).

fof(f981,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
    inference(forward_demodulation,[],[f980,f3]) ).

fof(f980,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,inverse(multiply(X0,X1))),X2)) = X2,
    inference(forward_demodulation,[],[f865,f1]) ).

fof(f865,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,inverse(multiply(X0,X1))),X2)) = multiply(identity,X2),
    inference(superposition,[],[f3,f696]) ).

fof(f956,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(X0,multiply(X1,X2)))))),
    inference(forward_demodulation,[],[f851,f3]) ).

fof(f851,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(multiply(X0,X1),X2))))),
    inference(superposition,[],[f696,f3]) ).

fof(f840,plain,
    ! [X2,X0,X1] : identity = multiply(X2,multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1)))))),
    inference(superposition,[],[f696,f3]) ).

fof(f809,plain,
    ! [X2,X0,X1] : identity = multiply(multiply(X0,X1),multiply(X2,inverse(multiply(X0,multiply(X1,X2))))),
    inference(superposition,[],[f696,f3]) ).

fof(f696,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
    inference(superposition,[],[f611,f3]) ).

fof(f778,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
    inference(superposition,[],[f3,f614]) ).

fof(f768,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
    inference(superposition,[],[f614,f3]) ).

fof(f614,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f151,f61]) ).

fof(f707,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
    inference(superposition,[],[f3,f611]) ).

fof(f724,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(forward_demodulation,[],[f705,f1]) ).

fof(f705,plain,
    ! [X0,X1] : multiply(identity,X1) = multiply(X0,multiply(inverse(X0),X1)),
    inference(superposition,[],[f3,f611]) ).

fof(f611,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f151,f2]) ).

fof(f681,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f2,f631]) ).

fof(f680,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f61,f631]) ).

fof(f631,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(superposition,[],[f613,f139]) ).

fof(f667,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(forward_demodulation,[],[f654,f613]) ).

fof(f654,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,identity),
    inference(superposition,[],[f151,f613]) ).

fof(f642,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(superposition,[],[f139,f613]) ).

fof(f661,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(forward_demodulation,[],[f638,f613]) ).

fof(f638,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,identity),
    inference(superposition,[],[f613,f151]) ).

fof(f622,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f61,f151]) ).

fof(f621,plain,
    ! [X0] : multiply(X0,identity) = X0,
    inference(superposition,[],[f139,f151]) ).

fof(f618,plain,
    ! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
    inference(superposition,[],[f61,f151]) ).

fof(f617,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f2,f151]) ).

fof(f604,plain,
    ! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f587,f1]) ).

fof(f587,plain,
    ! [X0,X1] : multiply(identity,X1) = multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)),
    inference(superposition,[],[f3,f555]) ).

fof(f586,plain,
    ! [X0] : multiply(inverse(inverse(inverse(inverse(X0)))),identity) = X0,
    inference(superposition,[],[f61,f555]) ).

fof(f555,plain,
    ! [X0] : identity = multiply(inverse(inverse(inverse(X0))),X0),
    inference(superposition,[],[f61,f139]) ).

fof(f561,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
    inference(forward_demodulation,[],[f556,f1]) ).

fof(f556,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),multiply(identity,X1)),
    inference(superposition,[],[f3,f139]) ).

fof(f358,plain,
    ( sk_c6 = multiply(sk_c6,identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f280,f347]) ).

fof(f361,plain,
    ( sk_c6 = multiply(sk_c6,identity)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f359,f38]) ).

fof(f359,plain,
    ( sk_c6 = multiply(inverse(sk_c7),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f61,f347]) ).

fof(f347,plain,
    ( identity = multiply(sk_c7,sk_c6)
    | ~ spl0_1 ),
    inference(superposition,[],[f291,f2]) ).

fof(f352,plain,
    ( ! [X0] : multiply(inverse(inverse(sk_c6)),multiply(sk_c7,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f61,f291]) ).

fof(f351,plain,
    ( identity = multiply(sk_c7,sk_c6)
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f291]) ).

fof(f291,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(inverse(sk_c6),X0)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f290,f1]) ).

fof(f290,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(inverse(sk_c6),multiply(identity,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f282]) ).

fof(f25,axiom,
    ( sk_c6 = inverse(sk_c3)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).

fof(f321,plain,
    ! [X0] : multiply(inverse(inverse(identity)),X0) = X0,
    inference(superposition,[],[f61,f138]) ).

fof(f138,plain,
    ! [X0] : multiply(inverse(identity),X0) = X0,
    inference(superposition,[],[f61,f1]) ).

fof(f307,plain,
    ( ! [X0] : multiply(inverse(inverse(sk_c6)),multiply(sk_c7,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f306,f1]) ).

fof(f306,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(sk_c6)),multiply(sk_c7,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f289]) ).

fof(f305,plain,
    ( sk_c7 = multiply(inverse(inverse(inverse(sk_c6))),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f61,f289]) ).

fof(f289,plain,
    ( identity = multiply(inverse(inverse(sk_c6)),sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f61,f282]) ).

fof(f297,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(inverse(sk_c6),X0)
    | ~ spl0_1 ),
    inference(superposition,[],[f61,f280]) ).

fof(f280,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f61,f38]) ).

fof(f282,plain,
    ( sk_c7 = multiply(inverse(sk_c6),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f61,f281]) ).

fof(f284,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f283,f1]) ).

fof(f283,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c7,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f281]) ).

fof(f281,plain,
    ( identity = multiply(sk_c6,sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f38]) ).

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

fof(f8,axiom,
    ( sk_c5 = inverse(sk_c4)
    | inverse(sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).

fof(f26,axiom,
    ( sk_c5 = inverse(sk_c4)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).

fof(f4,axiom,
    ( inverse(sk_c7) = sk_c6
    | sk_c6 = multiply(sk_c2,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).

fof(f6,axiom,
    ( inverse(sk_c7) = sk_c6
    | multiply(sk_c3,sk_c6) = sk_c5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).

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

fof(f24,axiom,
    ( sk_c7 = inverse(sk_c1)
    | multiply(sk_c3,sk_c6) = sk_c5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).

fof(f31,axiom,
    ( sk_c6 = inverse(sk_c3)
    | sk_c7 = multiply(sk_c1,sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).

fof(f32,axiom,
    ( sk_c5 = inverse(sk_c4)
    | sk_c7 = multiply(sk_c1,sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).

fof(f30,axiom,
    ( sk_c7 = multiply(sk_c1,sk_c6)
    | multiply(sk_c3,sk_c6) = sk_c5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).

fof(f140,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
    inference(superposition,[],[f61,f3]) ).

fof(f5,axiom,
    ( sk_c7 = inverse(sk_c2)
    | inverse(sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).

fof(f3081,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_6
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3080]) ).

fof(f3080,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_6
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f3070,f1,f2,f5,f3,f61,f140,f34,f30,f32,f31,f24,f9,f6,f4,f26,f8,f7,f38,f281,f284,f282,f280,f297,f289,f305,f307,f138,f321,f25,f291,f351,f352,f347,f361,f358,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f906,f1296,f18,f12,f19,f14,f13,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f2192,f2163,f2151,f2058,f726,f21,f1029,f15,f1147,f1167,f1357,f2396,f2406,f2417,f2418,f33,f2191,f2190,f2182,f2181,f2177,f2636,f2638,f2639,f2158,f836,f823,f803,f2087,f2081,f2640,f1273,f1027,f1020,f1006,f1290,f827,f824,f1257,f1138,f1279,f1278,f1143,f1269,f1177,f1039,f961,f960,f950,f949,f1304,f1303,f697,f691,f645,f644,f634,f633,f588,f585,f959,f10,f16,f1008,f1270,f1139,f1028,f1021,f837,f795,f791,f746,f28,f2660,f355,f349,f29,f17,f11,f23,f41,f948,f1503,f22,f2886,f629,f640,f2657,f2658,f669,f1274,f1179,f2124,f27,f1157,f2833,f1362,f2970,f2752,f2991,f2985,f2981,f20,f3030,f2816,f3037,f3032,f3036,f3042,f3046,f3047,f3055,f2403,f3056,f3057,f3059,f3060,f3061,f3062,f3074,f3066,f3068,f3069]) ).

fof(f3070,plain,
    ( sk_c7 = inverse(sk_c7)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(superposition,[],[f2702,f3060]) ).

fof(f2702,plain,
    ( sk_c7 = inverse(sk_c6)
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f327,f2662]) ).

fof(f2662,plain,
    ( sk_c6 = sk_c1
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f672,f38]) ).

fof(f672,plain,
    ( inverse(sk_c7) = sk_c1
    | ~ spl0_3 ),
    inference(superposition,[],[f631,f327]) ).

fof(f327,plain,
    ( sk_c7 = inverse(sk_c1)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f325]) ).

fof(f325,plain,
    ( spl0_3
  <=> sk_c7 = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f3079,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_6
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3078]) ).

fof(f3078,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_6
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f61,f140,f34,f30,f32,f31,f24,f9,f6,f4,f26,f8,f7,f38,f281,f284,f282,f280,f297,f289,f305,f307,f138,f321,f25,f291,f351,f352,f347,f361,f358,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f906,f1296,f18,f12,f19,f14,f13,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f2192,f2163,f2151,f2058,f726,f21,f1029,f15,f1147,f1167,f1357,f2396,f2406,f2417,f2418,f33,f2191,f2190,f2182,f2181,f2177,f2636,f2638,f2639,f2158,f836,f823,f803,f2087,f2081,f2640,f1273,f1027,f1020,f1006,f1290,f827,f824,f1257,f1138,f1279,f1278,f1143,f1269,f1177,f1039,f961,f960,f950,f949,f1304,f1303,f697,f691,f645,f644,f634,f633,f588,f585,f959,f10,f16,f1008,f1270,f1139,f1028,f1021,f837,f795,f791,f746,f28,f2660,f355,f349,f29,f17,f11,f23,f41,f948,f1503,f22,f2886,f629,f640,f2657,f2658,f669,f1274,f1179,f2124,f27,f1157,f2833,f1362,f2970,f2752,f2991,f2985,f2981,f20,f3030,f2816,f3037,f3032,f3036,f3042,f3046,f3047,f3055,f2403,f3056,f3057,f3059,f3060,f3061,f3062,f3074,f3066,f3068,f3069]) ).

fof(f3077,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_6
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3076]) ).

fof(f3076,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_6
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f61,f140,f34,f30,f32,f31,f24,f9,f6,f4,f26,f8,f7,f38,f281,f284,f282,f280,f297,f289,f305,f307,f138,f321,f25,f291,f351,f352,f347,f361,f358,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f906,f1296,f18,f12,f19,f14,f13,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f2192,f2163,f2151,f2058,f726,f21,f1029,f15,f1147,f1167,f1357,f2396,f2406,f2417,f2418,f33,f2191,f2190,f2182,f2181,f2177,f2636,f2638,f2639,f2158,f836,f823,f803,f2087,f2081,f2640,f1273,f1027,f1020,f1006,f1290,f827,f824,f1257,f1138,f1279,f1278,f1143,f1269,f1177,f1039,f961,f960,f950,f949,f1304,f1303,f697,f691,f645,f644,f634,f633,f588,f585,f959,f10,f16,f1008,f1270,f1139,f1028,f1021,f837,f795,f791,f746,f28,f2660,f355,f349,f29,f17,f11,f23,f41,f948,f1503,f22,f2886,f629,f640,f2657,f2658,f669,f1274,f1179,f2124,f27,f1157,f2833,f1362,f2970,f2752,f2991,f2985,f2981,f20,f3030,f2816,f3037,f3032,f3036,f3042,f3046,f3047,f3055,f2403,f3056,f3057,f3059,f3060,f3061,f3062,f3074,f3066,f3068]) ).

fof(f3051,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3050]) ).

fof(f3050,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | spl0_9 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f61,f140,f34,f30,f32,f31,f24,f9,f6,f4,f26,f8,f7,f38,f281,f284,f282,f280,f297,f289,f305,f307,f138,f321,f25,f291,f351,f352,f347,f361,f358,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f906,f1296,f18,f12,f19,f14,f13,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f2192,f2163,f2151,f2058,f726,f21,f1029,f15,f1147,f1167,f2396,f33,f2191,f2190,f2182,f2181,f2177,f2636,f2638,f2639,f2158,f836,f823,f803,f2087,f2081,f2640,f1273,f1027,f1020,f1006,f1290,f827,f824,f1257,f1138,f1279,f1278,f1143,f1269,f1177,f1039,f961,f960,f950,f949,f1304,f1303,f697,f691,f645,f644,f634,f633,f588,f585,f959,f10,f16,f1008,f1270,f1139,f1028,f1021,f837,f795,f791,f746,f28,f2660,f355,f349,f29,f17,f11,f23,f41,f948,f22,f2886,f629,f640,f2657,f2658,f669,f1274,f1179,f2124,f27,f1157,f2833,f1515,f1362,f2970,f1502,f2752,f2991,f2985,f2981,f20,f3030,f2816,f3037,f3032,f3036,f3042,f3043,f3044,f3047,f3046]) ).

fof(f3044,plain,
    ( identity != sk_c7
    | ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | spl0_9 ),
    inference(superposition,[],[f1515,f3042]) ).

fof(f3043,plain,
    ( identity != multiply(identity,sk_c7)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | spl0_9 ),
    inference(superposition,[],[f1502,f3042]) ).

fof(f1502,plain,
    ( identity != multiply(identity,sk_c5)
    | spl0_9 ),
    inference(avatar_component_clause,[],[f1501]) ).

fof(f1515,plain,
    ( identity != sk_c5
    | spl0_9 ),
    inference(superposition,[],[f1502,f1]) ).

fof(f3049,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3048]) ).

fof(f3048,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | spl0_9 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f61,f140,f34,f30,f32,f31,f24,f9,f6,f4,f26,f8,f7,f38,f281,f284,f282,f280,f297,f289,f305,f307,f138,f321,f25,f291,f351,f352,f347,f361,f358,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f906,f1296,f18,f12,f19,f14,f13,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f2192,f2163,f2151,f2058,f726,f21,f1029,f15,f1147,f1167,f2396,f33,f2191,f2190,f2182,f2181,f2177,f2636,f2638,f2639,f2158,f836,f823,f803,f2087,f2081,f2640,f1273,f1027,f1020,f1006,f1290,f827,f824,f1257,f1138,f1279,f1278,f1143,f1269,f1177,f1039,f961,f960,f950,f949,f1304,f1303,f697,f691,f645,f644,f634,f633,f588,f585,f959,f10,f16,f1008,f1270,f1139,f1028,f1021,f837,f795,f791,f746,f28,f2660,f355,f349,f29,f17,f11,f23,f41,f948,f22,f2886,f629,f640,f2657,f2658,f669,f1274,f1179,f2124,f27,f1157,f2833,f1515,f1362,f2970,f1502,f2752,f2991,f2985,f2981,f20,f3030,f2816,f3037,f3032,f3036,f3042,f3043,f3044,f3047]) ).

fof(f3027,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3026]) ).

fof(f3026,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f3025,f1357]) ).

fof(f3025,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f3024,f347]) ).

fof(f3024,plain,
    ( sk_c6 = multiply(sk_c7,sk_c6)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2816,f3002]) ).

fof(f3002,plain,
    ( sk_c6 = sk_c5
    | ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2993,f38]) ).

fof(f2993,plain,
    ( inverse(sk_c7) = sk_c5
    | ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(superposition,[],[f1499,f2987]) ).

fof(f2987,plain,
    ( sk_c7 = sk_c4
    | ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2986,f1362]) ).

fof(f2986,plain,
    ( sk_c4 = multiply(sk_c6,sk_c6)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2979,f38]) ).

fof(f2979,plain,
    ( sk_c4 = multiply(inverse(sk_c7),sk_c6)
    | spl0_2
    | ~ spl0_8 ),
    inference(superposition,[],[f1634,f2752]) ).

fof(f1634,plain,
    ( ! [X0] : sk_c4 = multiply(inverse(multiply(X0,sk_c5)),X0)
    | ~ spl0_8 ),
    inference(superposition,[],[f61,f1524]) ).

fof(f1524,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c5),sk_c4) = X0
    | ~ spl0_8 ),
    inference(superposition,[],[f1072,f1512]) ).

fof(f1512,plain,
    ( sk_c4 = inverse(sk_c5)
    | ~ spl0_8 ),
    inference(superposition,[],[f631,f1499]) ).

fof(f1499,plain,
    ( sk_c5 = inverse(sk_c4)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f1497]) ).

fof(f1497,plain,
    ( spl0_8
  <=> sk_c5 = inverse(sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f2937,plain,
    ( spl0_2
    | spl0_3 ),
    inference(avatar_contradiction_clause,[],[f2936]) ).

fof(f2936,plain,
    ( $false
    | spl0_2
    | spl0_3 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f61,f140,f34,f30,f32,f31,f24,f9,f6,f4,f26,f8,f7,f138,f321,f25,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f906,f1296,f18,f12,f20,f19,f14,f13,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f21,f15,f33,f2190,f2181,f2636,f2638,f2639,f2158,f836,f823,f803,f2087,f2081,f2640,f1273,f1027,f1020,f1006,f1257,f1138,f1279,f1278,f1177,f1039,f961,f960,f950,f949,f1304,f1303,f697,f691,f645,f644,f634,f633,f588,f585,f10,f16,f28,f29,f17,f11,f23,f41,f2816,f2752,f2833,f27,f2886,f22,f326]) ).

fof(f326,plain,
    ( sk_c7 != inverse(sk_c1)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f325]) ).

fof(f2935,plain,
    ( spl0_2
    | spl0_3
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2934]) ).

fof(f2934,plain,
    ( $false
    | spl0_2
    | spl0_3
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f1503,f1,f2,f5,f3,f61,f140,f34,f30,f32,f31,f24,f9,f6,f4,f26,f8,f7,f138,f321,f25,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f906,f1296,f18,f12,f20,f19,f14,f13,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f21,f15,f326,f33,f2190,f2181,f2636,f2638,f2639,f2158,f836,f823,f803,f2087,f2081,f2640,f1273,f1027,f1020,f1006,f1257,f1138,f1279,f1278,f1177,f1039,f961,f960,f950,f949,f1304,f1303,f697,f691,f645,f644,f634,f633,f588,f585,f10,f16,f28,f29,f17,f11,f23,f41,f2816,f2752,f2833,f27,f2886,f22]) ).

fof(f2933,plain,
    ( spl0_2
    | spl0_3
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2932]) ).

fof(f2932,plain,
    ( $false
    | spl0_2
    | spl0_3
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f2433,f1,f2,f5,f3,f61,f140,f34,f30,f32,f31,f24,f9,f6,f4,f26,f8,f7,f138,f321,f25,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f906,f1296,f18,f12,f20,f19,f14,f13,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f21,f15,f326,f33,f2190,f2181,f2636,f2638,f2639,f2158,f836,f823,f803,f2087,f2081,f2640,f1273,f1027,f1020,f1006,f1257,f1138,f1279,f1278,f1177,f1039,f961,f960,f950,f949,f1304,f1303,f697,f691,f645,f644,f634,f633,f588,f585,f10,f16,f28,f29,f17,f11,f23,f41,f2816,f2752,f2833,f27,f2886,f22]) ).

fof(f2433,plain,
    ( identity = sk_c4
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2432,f611]) ).

fof(f2432,plain,
    ( ! [X0] : sk_c4 = multiply(X0,inverse(X0))
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2427,f1]) ).

fof(f2427,plain,
    ( ! [X0] : sk_c4 = multiply(X0,inverse(multiply(identity,X0)))
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(superposition,[],[f1582,f2403]) ).

fof(f1582,plain,
    ( ! [X0] : sk_c4 = multiply(X0,inverse(multiply(sk_c5,X0)))
    | ~ spl0_8 ),
    inference(superposition,[],[f1072,f1511]) ).

fof(f1511,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c5,X0)) = X0
    | ~ spl0_8 ),
    inference(superposition,[],[f614,f1499]) ).

fof(f2931,plain,
    ( spl0_2
    | spl0_3
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2930]) ).

fof(f2930,plain,
    ( $false
    | spl0_2
    | spl0_3
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f2403,f1,f2,f5,f3,f61,f140,f34,f30,f32,f31,f24,f9,f6,f4,f26,f8,f7,f138,f321,f25,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f906,f1296,f18,f12,f20,f19,f14,f13,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f21,f15,f326,f33,f2190,f2181,f2636,f2638,f2639,f2158,f836,f823,f803,f2087,f2081,f2640,f1273,f1027,f1020,f1006,f1257,f1138,f1279,f1278,f1177,f1039,f961,f960,f950,f949,f1304,f1303,f697,f691,f645,f644,f634,f633,f588,f585,f10,f16,f28,f29,f17,f11,f23,f41,f2816,f2752,f2833,f27,f2886,f22]) ).

fof(f2929,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2928]) ).

fof(f2928,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f2927,f1,f2,f5,f3,f61,f140,f34,f30,f32,f31,f24,f9,f6,f4,f26,f8,f7,f138,f321,f25,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f906,f1296,f18,f12,f20,f19,f14,f13,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f21,f15,f326,f33,f2190,f2181,f2636,f2638,f2639,f2158,f836,f823,f803,f2087,f2081,f2640,f1273,f1027,f1020,f1006,f1257,f1138,f1279,f1278,f1177,f1039,f961,f960,f950,f949,f1304,f1303,f697,f691,f645,f644,f634,f633,f588,f585,f10,f16,f28,f29,f17,f11,f23,f41,f2816,f2752,f2833,f27,f2886,f22]) ).

fof(f2927,plain,
    ( sk_c6 = inverse(sk_c6)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2765,f38]) ).

fof(f2765,plain,
    ( inverse(sk_c7) = inverse(sk_c6)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2759,f1]) ).

fof(f2759,plain,
    ( inverse(sk_c6) = multiply(identity,inverse(sk_c7))
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(superposition,[],[f979,f2753]) ).

fof(f2753,plain,
    ( sk_c7 = multiply(sk_c6,identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2752,f2633]) ).

fof(f2633,plain,
    ( identity = sk_c5
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f2563,f23,f17,f29,f11,f1,f2,f5,f3,f61,f140,f34,f30,f28,f16,f10,f32,f31,f24,f22,f9,f6,f4,f26,f8,f7,f138,f321,f25,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f1257,f1138,f1177,f1027,f1020,f1006,f1273,f1278,f1279,f1039,f961,f960,f950,f949,f836,f823,f906,f1296,f803,f697,f691,f1303,f645,f644,f1304,f634,f633,f588,f585,f18,f12,f20,f19,f14,f13,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f21,f15,f2406,f2417,f2418,f33,f27,f1503,f2403]) ).

fof(f2563,plain,
    ( identity = sk_c5
    | sk_c7 = multiply(sk_c1,sk_c6)
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f2562,f347]) ).

fof(f2562,plain,
    ( sk_c5 = multiply(sk_c7,sk_c6)
    | sk_c7 = multiply(sk_c1,sk_c6)
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f30,f1334]) ).

fof(f1334,plain,
    ( sk_c7 = sk_c3
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f1327,f282]) ).

fof(f1327,plain,
    ( sk_c3 = multiply(inverse(sk_c6),identity)
    | ~ spl0_4 ),
    inference(superposition,[],[f139,f331]) ).

fof(f331,plain,
    ( sk_c6 = inverse(sk_c3)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f329]) ).

fof(f329,plain,
    ( spl0_4
  <=> sk_c6 = inverse(sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f2926,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_3
    | ~ spl0_4
    | spl0_6
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2925]) ).

fof(f2925,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_3
    | ~ spl0_4
    | spl0_6
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f2778,f1,f2,f5,f3,f61,f140,f34,f30,f32,f31,f24,f9,f6,f4,f26,f8,f7,f138,f321,f25,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f906,f1296,f18,f12,f20,f19,f14,f13,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f21,f15,f326,f33,f2190,f2181,f2636,f2638,f2639,f2158,f836,f823,f803,f2087,f2081,f2640,f1273,f1027,f1020,f1006,f1257,f1138,f1279,f1278,f1177,f1039,f961,f960,f950,f949,f1304,f1303,f697,f691,f645,f644,f634,f633,f588,f585,f10,f16,f28,f29,f17,f11,f23,f41,f2816,f2752,f2833,f27,f2886,f22]) ).

fof(f2778,plain,
    ( identity != sk_c7
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | spl0_6
    | ~ spl0_9 ),
    inference(superposition,[],[f1357,f2755]) ).

fof(f2755,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(superposition,[],[f2753,f613]) ).

fof(f2924,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_3
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2923]) ).

fof(f2923,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_3
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f2922,f1,f2,f5,f3,f61,f140,f34,f30,f32,f31,f24,f9,f6,f4,f26,f8,f7,f138,f321,f25,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f906,f1296,f18,f12,f20,f19,f14,f13,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f21,f15,f326,f33,f2190,f2181,f2636,f2638,f2639,f2158,f836,f823,f803,f2087,f2081,f2640,f1273,f1027,f1020,f1006,f1257,f1138,f1279,f1278,f1177,f1039,f961,f960,f950,f949,f1304,f1303,f697,f691,f645,f644,f634,f633,f588,f585,f10,f16,f28,f29,f17,f11,f23,f41,f2816,f2752,f2833,f27,f2886,f22]) ).

fof(f2922,plain,
    ( identity = sk_c5
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2678,f948]) ).

fof(f2678,plain,
    ( sk_c5 = inverse(identity)
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(superposition,[],[f1499,f2433]) ).

fof(f2921,plain,
    ( spl0_2
    | spl0_3
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2920]) ).

fof(f2920,plain,
    ( $false
    | spl0_2
    | spl0_3
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f2679,f1,f2,f5,f3,f61,f140,f34,f30,f32,f31,f24,f9,f6,f4,f26,f8,f7,f138,f321,f25,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f906,f1296,f18,f12,f20,f19,f14,f13,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f21,f15,f326,f33,f2190,f2181,f2636,f2638,f2639,f2158,f836,f823,f803,f2087,f2081,f2640,f1273,f1027,f1020,f1006,f1257,f1138,f1279,f1278,f1177,f1039,f961,f960,f950,f949,f1304,f1303,f697,f691,f645,f644,f634,f633,f588,f585,f10,f16,f28,f29,f17,f11,f23,f41,f2816,f2752,f2833,f27,f2886,f22]) ).

fof(f2679,plain,
    ( identity = multiply(sk_c5,identity)
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(superposition,[],[f1505,f2433]) ).

fof(f1505,plain,
    ( identity = multiply(sk_c5,sk_c4)
    | ~ spl0_8 ),
    inference(superposition,[],[f2,f1499]) ).

fof(f2919,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_3
    | ~ spl0_4
    | spl0_7
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2918]) ).

fof(f2918,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_3
    | ~ spl0_4
    | spl0_7
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f2779,f1,f2,f5,f3,f61,f140,f34,f30,f32,f31,f24,f9,f6,f4,f26,f8,f7,f138,f321,f25,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f906,f1296,f18,f12,f20,f19,f14,f13,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f21,f15,f326,f33,f2190,f2181,f2636,f2638,f2639,f2158,f836,f823,f803,f2087,f2081,f2640,f1273,f1027,f1020,f1006,f1257,f1138,f1279,f1278,f1177,f1039,f961,f960,f950,f949,f1304,f1303,f697,f691,f645,f644,f634,f633,f588,f585,f10,f16,f28,f29,f17,f11,f23,f41,f2816,f2752,f2833,f27,f2886,f22]) ).

fof(f2779,plain,
    ( sk_c7 != multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | spl0_7
    | ~ spl0_9 ),
    inference(superposition,[],[f1361,f2755]) ).

fof(f1361,plain,
    ( sk_c7 != multiply(sk_c6,sk_c6)
    | spl0_7 ),
    inference(avatar_component_clause,[],[f1360]) ).

fof(f2917,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_3
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2916]) ).

fof(f2916,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_3
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f2915,f1,f2,f5,f3,f61,f140,f34,f30,f32,f31,f24,f9,f6,f4,f26,f8,f7,f138,f321,f25,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f906,f1296,f18,f12,f20,f19,f14,f13,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f21,f15,f326,f33,f2190,f2181,f2636,f2638,f2639,f2158,f836,f823,f803,f2087,f2081,f2640,f1273,f1027,f1020,f1006,f1257,f1138,f1279,f1278,f1177,f1039,f961,f960,f950,f949,f1304,f1303,f697,f691,f645,f644,f634,f633,f588,f585,f10,f16,f28,f29,f17,f11,f23,f41,f2816,f2752,f2833,f27,f2886,f22]) ).

fof(f2915,plain,
    ( identity = sk_c4
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2424,f948]) ).

fof(f2424,plain,
    ( sk_c4 = inverse(identity)
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(superposition,[],[f1512,f2403]) ).

fof(f2914,plain,
    ( spl0_2
    | spl0_3
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2913]) ).

fof(f2913,plain,
    ( $false
    | spl0_2
    | spl0_3
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f2681,f1,f2,f5,f3,f61,f140,f34,f30,f32,f31,f24,f9,f6,f4,f26,f8,f7,f138,f321,f25,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f906,f1296,f18,f12,f20,f19,f14,f13,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f21,f15,f326,f33,f2190,f2181,f2636,f2638,f2639,f2158,f836,f823,f803,f2087,f2081,f2640,f1273,f1027,f1020,f1006,f1257,f1138,f1279,f1278,f1177,f1039,f961,f960,f950,f949,f1304,f1303,f697,f691,f645,f644,f634,f633,f588,f585,f10,f16,f28,f29,f17,f11,f23,f41,f2816,f2752,f2833,f27,f2886,f22]) ).

fof(f2681,plain,
    ( identity = multiply(identity,sk_c5)
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(superposition,[],[f1510,f2433]) ).

fof(f1510,plain,
    ( identity = multiply(sk_c4,sk_c5)
    | ~ spl0_8 ),
    inference(superposition,[],[f611,f1499]) ).

fof(f2912,plain,
    ( spl0_2
    | spl0_3
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2911]) ).

fof(f2911,plain,
    ( $false
    | spl0_2
    | spl0_3
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f2699,f1,f2,f5,f3,f61,f140,f34,f30,f32,f31,f24,f9,f6,f4,f26,f8,f7,f138,f321,f25,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f906,f1296,f18,f12,f20,f19,f14,f13,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f21,f15,f326,f33,f2190,f2181,f2636,f2638,f2639,f2158,f836,f823,f803,f2087,f2081,f2640,f1273,f1027,f1020,f1006,f1257,f1138,f1279,f1278,f1177,f1039,f961,f960,f950,f949,f1304,f1303,f697,f691,f645,f644,f634,f633,f588,f585,f10,f16,f28,f29,f17,f11,f23,f41,f2816,f2752,f2833,f27,f2886,f22]) ).

fof(f2699,plain,
    ( identity = sk_c5
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2698,f611]) ).

fof(f2698,plain,
    ( ! [X0] : sk_c5 = multiply(X0,inverse(X0))
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2685,f1]) ).

fof(f2685,plain,
    ( ! [X0] : sk_c5 = multiply(X0,inverse(multiply(identity,X0)))
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(superposition,[],[f1560,f2433]) ).

fof(f1560,plain,
    ( ! [X0] : sk_c5 = multiply(X0,inverse(multiply(sk_c4,X0)))
    | ~ spl0_8 ),
    inference(superposition,[],[f1072,f1506]) ).

fof(f1506,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c4,X0)) = X0
    | ~ spl0_8 ),
    inference(superposition,[],[f61,f1499]) ).

fof(f2910,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2909]) ).

fof(f2909,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f2633,f1,f2,f5,f3,f61,f140,f34,f30,f32,f31,f24,f9,f6,f4,f26,f8,f7,f138,f321,f25,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f906,f1296,f18,f12,f20,f19,f14,f13,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f21,f15,f326,f33,f2190,f2181,f2636,f2638,f2639,f2158,f836,f823,f803,f2087,f2081,f2640,f1273,f1027,f1020,f1006,f1257,f1138,f1279,f1278,f1177,f1039,f961,f960,f950,f949,f1304,f1303,f697,f691,f645,f644,f634,f633,f588,f585,f10,f16,f28,f29,f17,f11,f23,f41,f2816,f2752,f2833,f27,f2886,f22]) ).

fof(f2908,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2907]) ).

fof(f2907,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f2753,f1,f2,f5,f3,f61,f140,f34,f30,f32,f31,f24,f9,f6,f4,f26,f8,f7,f138,f321,f25,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f906,f1296,f18,f12,f20,f19,f14,f13,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f21,f15,f326,f33,f2190,f2181,f2636,f2638,f2639,f2158,f836,f823,f803,f2087,f2081,f2640,f1273,f1027,f1020,f1006,f1257,f1138,f1279,f1278,f1177,f1039,f961,f960,f950,f949,f1304,f1303,f697,f691,f645,f644,f634,f633,f588,f585,f10,f16,f28,f29,f17,f11,f23,f41,f2816,f2752,f2833,f27,f2886,f22]) ).

fof(f2906,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2905]) ).

fof(f2905,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f2755,f1,f2,f5,f3,f61,f140,f34,f30,f32,f31,f24,f9,f6,f4,f26,f8,f7,f138,f321,f25,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f906,f1296,f18,f12,f20,f19,f14,f13,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f21,f15,f326,f33,f2190,f2181,f2636,f2638,f2639,f2158,f836,f823,f803,f2087,f2081,f2640,f1273,f1027,f1020,f1006,f1257,f1138,f1279,f1278,f1177,f1039,f961,f960,f950,f949,f1304,f1303,f697,f691,f645,f644,f634,f633,f588,f585,f10,f16,f28,f29,f17,f11,f23,f41,f2816,f2752,f2833,f27,f2886,f22]) ).

fof(f2904,plain,
    ( spl0_2
    | spl0_3
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2903]) ).

fof(f2903,plain,
    ( $false
    | spl0_2
    | spl0_3
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f2689,f1,f2,f5,f3,f61,f140,f34,f30,f32,f31,f24,f9,f6,f4,f26,f8,f7,f138,f321,f25,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f906,f1296,f18,f12,f20,f19,f14,f13,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f21,f15,f326,f33,f2190,f2181,f2636,f2638,f2639,f2158,f836,f823,f803,f2087,f2081,f2640,f1273,f1027,f1020,f1006,f1257,f1138,f1279,f1278,f1177,f1039,f961,f960,f950,f949,f1304,f1303,f697,f691,f645,f644,f634,f633,f588,f585,f10,f16,f28,f29,f17,f11,f23,f41,f2816,f2752,f2833,f27,f2886,f22]) ).

fof(f2689,plain,
    ( ! [X0] : multiply(sk_c5,X0) = X0
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2680,f1]) ).

fof(f2680,plain,
    ( ! [X0] : multiply(sk_c5,multiply(identity,X0)) = X0
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(superposition,[],[f1506,f2433]) ).

fof(f2902,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2901]) ).

fof(f2901,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f2772,f1,f2,f5,f3,f61,f140,f34,f30,f32,f31,f24,f9,f6,f4,f26,f8,f7,f138,f321,f25,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f906,f1296,f18,f12,f20,f19,f14,f13,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f21,f15,f326,f33,f2190,f2181,f2636,f2638,f2639,f2158,f836,f823,f803,f2087,f2081,f2640,f1273,f1027,f1020,f1006,f1257,f1138,f1279,f1278,f1177,f1039,f961,f960,f950,f949,f1304,f1303,f697,f691,f645,f644,f634,f633,f588,f585,f10,f16,f28,f29,f17,f11,f23,f41,f2816,f2752,f2833,f27,f2886,f22]) ).

fof(f2772,plain,
    ( identity = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(superposition,[],[f281,f2755]) ).

fof(f2900,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2899]) ).

fof(f2899,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f2783,f1,f2,f5,f3,f61,f140,f34,f30,f32,f31,f24,f9,f6,f4,f26,f8,f7,f138,f321,f25,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f906,f1296,f18,f12,f20,f19,f14,f13,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f21,f15,f326,f33,f2190,f2181,f2636,f2638,f2639,f2158,f836,f823,f803,f2087,f2081,f2640,f1273,f1027,f1020,f1006,f1257,f1138,f1279,f1278,f1177,f1039,f961,f960,f950,f949,f1304,f1303,f697,f691,f645,f644,f634,f633,f588,f585,f10,f16,f28,f29,f17,f11,f23,f41,f2816,f2752,f2833,f27,f2886,f22]) ).

fof(f2783,plain,
    ( identity = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2774,f631]) ).

fof(f2774,plain,
    ( identity = multiply(inverse(inverse(sk_c7)),sk_c7)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(superposition,[],[f289,f2755]) ).

fof(f2898,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2897]) ).

fof(f2897,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f2834,f1,f2,f5,f3,f61,f140,f34,f30,f32,f31,f24,f9,f6,f4,f26,f8,f7,f138,f321,f25,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f906,f1296,f18,f12,f20,f19,f14,f13,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f21,f15,f326,f33,f2190,f2181,f2636,f2638,f2639,f2158,f836,f823,f803,f2087,f2081,f2640,f1273,f1027,f1020,f1006,f1257,f1138,f1279,f1278,f1177,f1039,f961,f960,f950,f949,f1304,f1303,f697,f691,f645,f644,f634,f633,f588,f585,f10,f16,f28,f29,f17,f11,f23,f41,f2816,f2752,f2833,f27,f2886,f22]) ).

fof(f2834,plain,
    ( sk_c7 = multiply(sk_c1,sk_c7)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2833,f2755]) ).

fof(f2896,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2895]) ).

fof(f2895,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f2815,f1,f2,f5,f3,f61,f140,f34,f30,f32,f31,f24,f9,f6,f4,f26,f8,f7,f138,f321,f25,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f906,f1296,f18,f12,f20,f19,f14,f13,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f21,f15,f326,f33,f2190,f2181,f2636,f2638,f2639,f2158,f836,f823,f803,f2087,f2081,f2640,f1273,f1027,f1020,f1006,f1257,f1138,f1279,f1278,f1177,f1039,f961,f960,f950,f949,f1304,f1303,f697,f691,f645,f644,f634,f633,f588,f585,f10,f16,f28,f29,f17,f11,f23,f41,f2816,f2752,f2833,f27,f2886,f22]) ).

fof(f2815,plain,
    ( identity = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2768,f2755]) ).

fof(f2768,plain,
    ( identity = multiply(sk_c6,sk_c6)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2767,f38]) ).

fof(f2767,plain,
    ( identity = multiply(sk_c6,inverse(sk_c7))
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2760,f1]) ).

fof(f2760,plain,
    ( identity = multiply(sk_c6,multiply(identity,inverse(sk_c7)))
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(superposition,[],[f696,f2753]) ).

fof(f2894,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2893]) ).

fof(f2893,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f2776,f1,f2,f5,f3,f61,f140,f34,f30,f32,f31,f24,f9,f6,f4,f26,f8,f7,f138,f321,f25,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f906,f1296,f18,f12,f20,f19,f14,f13,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f21,f15,f326,f33,f2190,f2181,f2636,f2638,f2639,f2158,f836,f823,f803,f2087,f2081,f2640,f1273,f1027,f1020,f1006,f1257,f1138,f1279,f1278,f1177,f1039,f961,f960,f950,f949,f1304,f1303,f697,f691,f645,f644,f634,f633,f588,f585,f10,f16,f28,f29,f17,f11,f23,f41,f2816,f2752,f2833,f27,f2886,f22]) ).

fof(f2776,plain,
    ( identity = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(superposition,[],[f347,f2755]) ).

fof(f2892,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_3
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f2891]) ).

fof(f2891,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_3
    | ~ spl0_4 ),
    inference(global_subsumption,[],[f2567,f1,f2,f5,f3,f61,f140,f34,f30,f32,f31,f24,f9,f6,f4,f26,f8,f7,f138,f321,f25,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f906,f1296,f18,f12,f20,f19,f14,f13,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f21,f15,f326,f33,f2190,f2181,f2636,f2638,f2639,f2158,f836,f823,f803,f2087,f2081,f2640,f1273,f1027,f1020,f1006,f1257,f1138,f1279,f1278,f1177,f1039,f961,f960,f950,f949,f1304,f1303,f697,f691,f645,f644,f634,f633,f588,f585,f10,f16,f28,f29,f17,f11,f23,f41,f2816,f2752,f2833,f27,f2886,f22]) ).

fof(f2567,plain,
    ( identity = sk_c5
    | sk_c7 = inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f2566,f347]) ).

fof(f2566,plain,
    ( sk_c5 = multiply(sk_c7,sk_c6)
    | sk_c7 = inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f24,f1334]) ).

fof(f2890,plain,
    ( spl0_2
    | spl0_3 ),
    inference(avatar_contradiction_clause,[],[f2889]) ).

fof(f2889,plain,
    ( $false
    | spl0_2
    | spl0_3 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f61,f140,f34,f30,f32,f31,f24,f9,f6,f4,f26,f8,f7,f138,f321,f25,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f906,f1296,f18,f12,f20,f19,f14,f13,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f21,f15,f326,f33,f2190,f2181,f2636,f2638,f2639,f2158,f836,f823,f803,f2087,f2081,f2640,f1273,f1027,f1020,f1006,f1257,f1138,f1279,f1278,f1177,f1039,f961,f960,f950,f949,f1304,f1303,f697,f691,f645,f644,f634,f633,f588,f585,f10,f16,f28,f29,f17,f11,f23,f41,f2816,f2752,f2833,f27,f2886,f22]) ).

fof(f2888,plain,
    ( spl0_2
    | spl0_3 ),
    inference(avatar_contradiction_clause,[],[f2887]) ).

fof(f2887,plain,
    ( $false
    | spl0_2
    | spl0_3 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f61,f140,f34,f30,f32,f31,f24,f9,f6,f4,f26,f8,f7,f138,f321,f25,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f906,f1296,f18,f12,f20,f19,f14,f13,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f21,f15,f326,f22,f33,f2190,f2181,f2636,f2638,f2639,f2158,f836,f823,f803,f2087,f2081,f2640,f1273,f1027,f1020,f1006,f1257,f1138,f1279,f1278,f1177,f1039,f961,f960,f950,f949,f1304,f1303,f697,f691,f645,f644,f634,f633,f588,f585,f10,f16,f28,f29,f17,f11,f23,f41,f2816,f2752,f2833,f27,f2886]) ).

fof(f2885,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_contradiction_clause,[],[f2884]) ).

fof(f2884,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_3 ),
    inference(global_subsumption,[],[f629,f1,f2,f5,f3,f61,f140,f34,f30,f32,f31,f24,f9,f6,f4,f26,f8,f7,f138,f321,f25,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f906,f1296,f18,f12,f20,f19,f14,f13,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f21,f15,f326,f22,f33,f2190,f2181,f2636,f2638,f2639,f2158,f836,f823,f803,f2087,f2081,f2640,f1273,f1027,f1020,f1006,f1257,f1138,f1279,f1278,f1177,f1039,f961,f960,f950,f949,f1304,f1303,f697,f691,f645,f644,f634,f633,f588,f585,f10,f16,f28,f29,f17,f11,f23,f41,f2816,f2752,f2833,f27]) ).

fof(f2883,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_contradiction_clause,[],[f2882]) ).

fof(f2882,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_3 ),
    inference(global_subsumption,[],[f640,f1,f2,f5,f3,f61,f140,f34,f30,f32,f31,f24,f9,f6,f4,f26,f8,f7,f138,f321,f25,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f906,f1296,f18,f12,f20,f19,f14,f13,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f21,f15,f326,f22,f33,f2190,f2181,f2636,f2638,f2639,f2158,f836,f823,f803,f2087,f2081,f2640,f1273,f1027,f1020,f1006,f1257,f1138,f1279,f1278,f1177,f1039,f961,f960,f950,f949,f1304,f1303,f697,f691,f645,f644,f634,f633,f588,f585,f10,f16,f28,f29,f17,f11,f23,f41,f2816,f2752,f2833,f27]) ).

fof(f2881,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_contradiction_clause,[],[f2880]) ).

fof(f2880,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_3 ),
    inference(global_subsumption,[],[f2657,f1,f2,f5,f3,f61,f140,f34,f30,f32,f31,f24,f9,f6,f4,f26,f8,f7,f138,f321,f25,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f906,f1296,f18,f12,f20,f19,f14,f13,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f21,f15,f326,f22,f33,f2190,f2181,f2636,f2638,f2639,f2158,f836,f823,f803,f2087,f2081,f2640,f1273,f1027,f1020,f1006,f1257,f1138,f1279,f1278,f1177,f1039,f961,f960,f950,f949,f1304,f1303,f697,f691,f645,f644,f634,f633,f588,f585,f10,f16,f28,f29,f17,f11,f23,f41,f2816,f2752,f2833,f27]) ).

fof(f2879,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_contradiction_clause,[],[f2878]) ).

fof(f2878,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_3 ),
    inference(global_subsumption,[],[f2658,f1,f2,f5,f3,f61,f140,f34,f30,f32,f31,f24,f9,f6,f4,f26,f8,f7,f138,f321,f25,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f906,f1296,f18,f12,f20,f19,f14,f13,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f21,f15,f326,f22,f33,f2190,f2181,f2636,f2638,f2639,f2158,f836,f823,f803,f2087,f2081,f2640,f1273,f1027,f1020,f1006,f1257,f1138,f1279,f1278,f1177,f1039,f961,f960,f950,f949,f1304,f1303,f697,f691,f645,f644,f634,f633,f588,f585,f10,f16,f28,f29,f17,f11,f23,f41,f2816,f2752,f2833,f27]) ).

fof(f2877,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_contradiction_clause,[],[f2876]) ).

fof(f2876,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_3 ),
    inference(global_subsumption,[],[f669,f1,f2,f5,f3,f61,f140,f34,f30,f32,f31,f24,f9,f6,f4,f26,f8,f7,f138,f321,f25,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f906,f1296,f18,f12,f20,f19,f14,f13,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f21,f15,f326,f22,f33,f2190,f2181,f2636,f2638,f2639,f2158,f836,f823,f803,f2087,f2081,f2640,f1273,f1027,f1020,f1006,f1257,f1138,f1279,f1278,f1177,f1039,f961,f960,f950,f949,f1304,f1303,f697,f691,f645,f644,f634,f633,f588,f585,f10,f16,f28,f29,f17,f11,f23,f41,f2816,f2752,f2833,f27]) ).

fof(f2875,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_3
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f2874]) ).

fof(f2874,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_3
    | ~ spl0_4 ),
    inference(global_subsumption,[],[f2654,f1,f2,f5,f3,f61,f140,f34,f30,f32,f31,f24,f9,f6,f4,f26,f8,f7,f138,f321,f25,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f906,f1296,f18,f12,f20,f19,f14,f13,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f21,f15,f326,f22,f33,f2190,f2181,f2636,f2638,f2639,f2158,f836,f823,f803,f2087,f2081,f2640,f1273,f1027,f1020,f1006,f1257,f1138,f1279,f1278,f1177,f1039,f961,f960,f950,f949,f1304,f1303,f697,f691,f645,f644,f634,f633,f588,f585,f10,f16,f28,f29,f17,f11,f23,f41,f2816,f2752,f2833,f27]) ).

fof(f2654,plain,
    ( sk_c7 = inverse(sk_c6)
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f1332,f1334]) ).

fof(f1332,plain,
    ( sk_c3 = inverse(sk_c6)
    | ~ spl0_4 ),
    inference(superposition,[],[f631,f331]) ).

fof(f2873,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_contradiction_clause,[],[f2872]) ).

fof(f2872,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_3 ),
    inference(global_subsumption,[],[f1274,f1,f2,f5,f3,f61,f140,f34,f30,f32,f31,f24,f9,f6,f4,f26,f8,f7,f138,f321,f25,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f906,f1296,f18,f12,f20,f19,f14,f13,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f21,f15,f326,f22,f33,f2190,f2181,f2636,f2638,f2639,f2158,f836,f823,f803,f2087,f2081,f2640,f1273,f1027,f1020,f1006,f1257,f1138,f1279,f1278,f1177,f1039,f961,f960,f950,f949,f1304,f1303,f697,f691,f645,f644,f634,f633,f588,f585,f10,f16,f28,f29,f17,f11,f23,f41,f2816,f2752,f2833,f27]) ).

fof(f2871,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_contradiction_clause,[],[f2870]) ).

fof(f2870,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_3 ),
    inference(global_subsumption,[],[f1179,f1,f2,f5,f3,f61,f140,f34,f30,f32,f31,f24,f9,f6,f4,f26,f8,f7,f138,f321,f25,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f906,f1296,f18,f12,f20,f19,f14,f13,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f21,f15,f326,f22,f33,f2190,f2181,f2636,f2638,f2639,f2158,f836,f823,f803,f2087,f2081,f2640,f1273,f1027,f1020,f1006,f1257,f1138,f1279,f1278,f1177,f1039,f961,f960,f950,f949,f1304,f1303,f697,f691,f645,f644,f634,f633,f588,f585,f10,f16,f28,f29,f17,f11,f23,f41,f2816,f2752,f2833,f27]) ).

fof(f2869,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_3
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f2868]) ).

fof(f2868,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_3
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f1616,f1,f2,f5,f3,f61,f140,f34,f30,f32,f31,f24,f9,f6,f4,f26,f8,f7,f138,f321,f25,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f906,f1296,f18,f12,f20,f19,f14,f13,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f21,f15,f326,f22,f33,f2190,f2181,f2636,f2638,f2639,f2158,f836,f823,f803,f2087,f2081,f2640,f1273,f1027,f1020,f1006,f1257,f1138,f1279,f1278,f1177,f1039,f961,f960,f950,f949,f1304,f1303,f697,f691,f645,f644,f634,f633,f588,f585,f10,f16,f28,f29,f17,f11,f23,f41,f2816,f2752,f2833,f27]) ).

fof(f1616,plain,
    ( sk_c7 = inverse(sk_c6)
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1601,f1513]) ).

fof(f1513,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c4),sk_c5) = X0
    | ~ spl0_8 ),
    inference(superposition,[],[f1072,f1499]) ).

fof(f1601,plain,
    ( inverse(sk_c6) = multiply(multiply(sk_c7,sk_c4),sk_c5)
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(superposition,[],[f1513,f291]) ).

fof(f2867,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_3
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f2866]) ).

fof(f2866,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_3
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f1641,f1,f2,f5,f3,f61,f140,f34,f30,f32,f31,f24,f9,f6,f4,f26,f8,f7,f138,f321,f25,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f906,f1296,f18,f12,f20,f19,f14,f13,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f21,f15,f326,f22,f33,f2190,f2181,f2636,f2638,f2639,f2158,f836,f823,f803,f2087,f2081,f2640,f1273,f1027,f1020,f1006,f1257,f1138,f1279,f1278,f1177,f1039,f961,f960,f950,f949,f1304,f1303,f697,f691,f645,f644,f634,f633,f588,f585,f10,f16,f28,f29,f17,f11,f23,f41,f2816,f2752,f2833,f27]) ).

fof(f1641,plain,
    ( sk_c7 = inverse(sk_c6)
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1626,f1524]) ).

fof(f1626,plain,
    ( inverse(sk_c6) = multiply(multiply(sk_c7,sk_c5),sk_c4)
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(superposition,[],[f1524,f291]) ).

fof(f2865,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_contradiction_clause,[],[f2864]) ).

fof(f2864,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_3 ),
    inference(global_subsumption,[],[f2124,f1,f2,f5,f3,f61,f140,f34,f30,f32,f31,f24,f9,f6,f4,f26,f8,f7,f138,f321,f25,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f906,f1296,f18,f12,f20,f19,f14,f13,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f21,f15,f326,f22,f33,f2190,f2181,f2636,f2638,f2639,f2158,f836,f823,f803,f2087,f2081,f2640,f1273,f1027,f1020,f1006,f1257,f1138,f1279,f1278,f1177,f1039,f961,f960,f950,f949,f1304,f1303,f697,f691,f645,f644,f634,f633,f588,f585,f10,f16,f28,f29,f17,f11,f23,f41,f2816,f2752,f2833,f27]) ).

fof(f2863,plain,
    ( spl0_2
    | spl0_3 ),
    inference(avatar_contradiction_clause,[],[f2862]) ).

fof(f2862,plain,
    ( $false
    | spl0_2
    | spl0_3 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f61,f140,f34,f30,f32,f31,f24,f9,f6,f4,f26,f8,f7,f138,f321,f25,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f906,f1296,f18,f12,f20,f19,f14,f13,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f21,f15,f326,f22,f33,f2190,f2181,f2636,f2638,f2639,f2158,f836,f823,f803,f2087,f2081,f2640,f1273,f1027,f1020,f1006,f1257,f1138,f1279,f1278,f1177,f1039,f961,f960,f950,f949,f1304,f1303,f697,f691,f645,f644,f634,f633,f588,f585,f10,f16,f28,f29,f17,f11,f23,f41,f2816,f2752,f2833,f27]) ).

fof(f2861,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_contradiction_clause,[],[f2860]) ).

fof(f2860,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_3 ),
    inference(global_subsumption,[],[f1157,f1,f2,f5,f3,f61,f140,f34,f30,f32,f31,f24,f9,f6,f4,f26,f8,f7,f138,f321,f25,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f906,f1296,f18,f12,f20,f19,f14,f13,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f21,f15,f27,f326,f22,f33,f2190,f2181,f2636,f2638,f2639,f2158,f836,f823,f803,f2087,f2081,f2640,f1273,f1027,f1020,f1006,f1257,f1138,f1279,f1278,f1177,f1039,f961,f960,f950,f949,f1304,f1303,f697,f691,f645,f644,f634,f633,f588,f585,f10,f16,f28,f29,f17,f11,f23,f41,f2816,f2752,f2833]) ).

fof(f2859,plain,
    ( spl0_2
    | spl0_3 ),
    inference(avatar_contradiction_clause,[],[f2858]) ).

fof(f2858,plain,
    ( $false
    | spl0_2
    | spl0_3 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f61,f140,f34,f30,f32,f31,f24,f9,f6,f4,f26,f8,f7,f138,f321,f25,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f906,f1296,f18,f12,f20,f19,f14,f13,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f21,f15,f27,f326,f22,f33,f2190,f2181,f2636,f2638,f2639,f2158,f836,f823,f803,f2087,f2081,f2640,f1273,f1027,f1020,f1006,f1257,f1138,f1279,f1278,f1177,f1039,f961,f960,f950,f949,f1304,f1303,f697,f691,f645,f644,f634,f633,f588,f585,f10,f16,f28,f29,f17,f11,f23,f41,f2816,f2752,f2833]) ).

fof(f2857,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_3
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f2856]) ).

fof(f2856,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_3
    | ~ spl0_4 ),
    inference(global_subsumption,[],[f2563,f1,f2,f5,f3,f61,f140,f34,f30,f32,f31,f24,f9,f6,f4,f26,f8,f7,f138,f321,f25,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f906,f1296,f18,f12,f20,f19,f14,f13,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f21,f15,f27,f326,f22,f33,f2190,f2181,f2636,f2638,f2639,f2158,f836,f823,f803,f2087,f2081,f2640,f1273,f1027,f1020,f1006,f1257,f1138,f1279,f1278,f1177,f1039,f961,f960,f950,f949,f1304,f1303,f697,f691,f645,f644,f634,f633,f588,f585,f10,f16,f28,f29,f17,f11,f23,f41,f2816,f2752]) ).

fof(f2855,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | spl0_7
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2854]) ).

fof(f2854,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | spl0_7
    | spl0_9 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f61,f140,f34,f30,f32,f31,f24,f9,f6,f4,f26,f8,f7,f38,f281,f284,f282,f280,f297,f289,f305,f307,f138,f321,f25,f333,f334,f341,f291,f351,f352,f347,f361,f358,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f906,f1296,f18,f12,f20,f19,f14,f13,f331,f1325,f1326,f1335,f1336,f1330,f1331,f1333,f1334,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f2192,f2163,f2381,f2151,f2103,f2058,f726,f21,f1029,f15,f1147,f2389,f1167,f2564,f27,f2568,f2563,f2567,f2634,f22,f2635,f33,f2390,f2191,f2190,f2182,f2181,f2177,f2636,f2638,f2639,f2158,f836,f823,f803,f2087,f2081,f2124,f2640,f1273,f1027,f1020,f1006,f1290,f827,f824,f1257,f1138,f1279,f1278,f1143,f1269,f1177,f1039,f961,f960,f950,f949,f1304,f1303,f697,f691,f645,f644,f634,f633,f588,f585,f959,f2654,f10,f16,f1274,f1008,f1270,f1139,f1157,f1179,f1028,f1021,f837,f795,f791,f746,f669,f2657,f640,f2658,f629,f28,f2660,f355,f349,f29,f17,f11,f23,f2661,f327,f2662,f2703,f2704,f2705,f2702,f2709,f2716,f2717,f2718,f948,f1361,f2388,f2386,f2845,f1515,f1502]) ).

fof(f2845,plain,
    ( identity = sk_c5
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | spl0_7 ),
    inference(subsumption_resolution,[],[f2844,f1361]) ).

fof(f2844,plain,
    ( sk_c7 = multiply(sk_c6,sk_c6)
    | identity = sk_c5
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f2563,f2662]) ).

fof(f2386,plain,
    ( identity = sk_c5
    | sk_c6 = multiply(sk_c7,sk_c5)
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f2385,f347]) ).

fof(f2385,plain,
    ( sk_c5 = multiply(sk_c7,sk_c6)
    | sk_c6 = multiply(sk_c7,sk_c5)
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f18,f1334]) ).

fof(f2388,plain,
    ( identity = sk_c5
    | sk_c7 = multiply(sk_c6,sk_c5)
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f2387,f347]) ).

fof(f2387,plain,
    ( sk_c5 = multiply(sk_c7,sk_c6)
    | sk_c7 = multiply(sk_c6,sk_c5)
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f12,f1334]) ).

fof(f2718,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c7),sk_c6) = X0
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(superposition,[],[f1166,f2702]) ).

fof(f2717,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c6),sk_c7) = X0
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(superposition,[],[f1072,f2702]) ).

fof(f2716,plain,
    ( ! [X0] : sk_c6 = multiply(X0,inverse(multiply(sk_c7,X0)))
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(superposition,[],[f983,f2702]) ).

fof(f2709,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c6,X0)) = X0
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(superposition,[],[f61,f2702]) ).

fof(f2705,plain,
    ( sk_c7 = inverse(sk_c6)
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f2661,f2662]) ).

fof(f2704,plain,
    ( sk_c7 = inverse(sk_c6)
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f2635,f2662]) ).

fof(f2703,plain,
    ( sk_c7 = inverse(sk_c6)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f2634,f2662]) ).

fof(f2661,plain,
    ( sk_c7 = inverse(sk_c1)
    | ~ spl0_3 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f61,f140,f34,f30,f32,f31,f24,f9,f6,f4,f26,f8,f7,f138,f321,f25,f327,f333,f334,f341,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f906,f1296,f18,f12,f20,f19,f14,f13,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f21,f15,f27,f22,f2635,f33,f2190,f2181,f2636,f2638,f2639,f2158,f836,f823,f803,f2087,f2081,f2640,f1273,f1027,f1020,f1006,f1257,f1138,f1279,f1278,f1177,f1039,f961,f960,f950,f949,f1304,f1303,f697,f691,f645,f644,f634,f633,f588,f585,f10,f16,f28,f29,f17,f11,f23]) ).

fof(f2390,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c6,X0)) = X0
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f1331,f1334]) ).

fof(f2635,plain,
    ( sk_c7 = inverse(sk_c1)
    | ~ spl0_3 ),
    inference(global_subsumption,[],[f23,f17,f29,f11,f1,f2,f5,f3,f61,f140,f34,f30,f28,f16,f10,f32,f31,f24,f9,f6,f4,f26,f8,f7,f138,f321,f25,f327,f333,f334,f341,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f1257,f1138,f1177,f1027,f1020,f1006,f1273,f1278,f1279,f1039,f961,f960,f950,f949,f836,f823,f906,f1296,f803,f697,f691,f1303,f645,f644,f1304,f634,f633,f588,f585,f18,f12,f20,f19,f14,f13,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f21,f15,f33,f27,f22]) ).

fof(f2634,plain,
    ( sk_c7 = inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(global_subsumption,[],[f2567,f23,f17,f29,f11,f1,f2,f5,f3,f61,f140,f34,f30,f28,f16,f10,f32,f31,f24,f22,f9,f6,f4,f26,f8,f7,f138,f321,f25,f327,f333,f334,f341,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f1257,f1138,f1177,f1027,f1020,f1006,f1273,f1278,f1279,f1039,f961,f960,f950,f949,f836,f823,f906,f1296,f803,f697,f691,f1303,f645,f644,f1304,f634,f633,f588,f585,f18,f12,f20,f19,f14,f13,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f21,f15,f33,f27]) ).

fof(f2568,plain,
    ( sk_c7 = inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_4
    | spl0_9 ),
    inference(subsumption_resolution,[],[f2567,f1515]) ).

fof(f2564,plain,
    ( sk_c7 = multiply(sk_c1,sk_c6)
    | ~ spl0_1
    | ~ spl0_4
    | spl0_9 ),
    inference(subsumption_resolution,[],[f2563,f1515]) ).

fof(f2389,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c7),sk_c6) = X0
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f1333,f1334]) ).

fof(f2103,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c6),sk_c7) = X0
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f2061,f1334]) ).

fof(f2061,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c6),sk_c3) = X0
    | ~ spl0_4 ),
    inference(superposition,[],[f1166,f331]) ).

fof(f2381,plain,
    ( ! [X0] : sk_c7 = multiply(X0,inverse(multiply(sk_c6,X0)))
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f2154,f1334]) ).

fof(f2154,plain,
    ( ! [X0] : sk_c3 = multiply(X0,inverse(multiply(sk_c6,X0)))
    | ~ spl0_4 ),
    inference(superposition,[],[f983,f331]) ).

fof(f1333,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c3),sk_c6) = X0
    | ~ spl0_4 ),
    inference(superposition,[],[f1072,f331]) ).

fof(f1331,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c6,X0)) = X0
    | ~ spl0_4 ),
    inference(superposition,[],[f614,f331]) ).

fof(f1330,plain,
    ( identity = multiply(sk_c3,sk_c6)
    | ~ spl0_4 ),
    inference(superposition,[],[f611,f331]) ).

fof(f1336,plain,
    ( identity = multiply(sk_c6,sk_c3)
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f1329,f631]) ).

fof(f1329,plain,
    ( identity = multiply(inverse(inverse(sk_c6)),sk_c3)
    | ~ spl0_4 ),
    inference(superposition,[],[f555,f331]) ).

fof(f1335,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,X0)
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f1328,f291]) ).

fof(f1328,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(sk_c6),X0)
    | ~ spl0_4 ),
    inference(superposition,[],[f151,f331]) ).

fof(f1326,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c3,X0)) = X0
    | ~ spl0_4 ),
    inference(superposition,[],[f61,f331]) ).

fof(f1325,plain,
    ( identity = multiply(sk_c6,sk_c3)
    | ~ spl0_4 ),
    inference(superposition,[],[f2,f331]) ).

fof(f341,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c1,X0)) = X0
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f337,f1]) ).

fof(f337,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c1,X0))
    | ~ spl0_3 ),
    inference(superposition,[],[f3,f334]) ).

fof(f334,plain,
    ( identity = multiply(sk_c7,sk_c1)
    | ~ spl0_3 ),
    inference(superposition,[],[f2,f327]) ).

fof(f333,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c1,X0)) = X0
    | ~ spl0_3 ),
    inference(superposition,[],[f61,f327]) ).

fof(f2853,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | spl0_7
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2852]) ).

fof(f2852,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | spl0_7
    | spl0_9 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f61,f140,f34,f30,f32,f31,f24,f9,f6,f4,f26,f8,f7,f38,f281,f284,f282,f280,f297,f289,f305,f307,f138,f321,f25,f333,f334,f341,f291,f351,f352,f347,f361,f358,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f906,f1296,f18,f12,f20,f19,f14,f13,f331,f1325,f1326,f1335,f1336,f1330,f1331,f1333,f1334,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f2192,f2163,f2381,f2151,f2103,f2058,f726,f21,f1029,f15,f1147,f2389,f1167,f1502,f2564,f27,f2568,f2563,f2567,f2634,f22,f2635,f33,f2390,f2191,f2190,f2182,f2181,f2177,f2636,f2638,f2639,f2158,f836,f823,f803,f2087,f2081,f2124,f2640,f1273,f1027,f1020,f1006,f1290,f827,f824,f1257,f1138,f1279,f1278,f1143,f1269,f1177,f1039,f961,f960,f950,f949,f1304,f1303,f697,f691,f645,f644,f634,f633,f588,f585,f959,f2654,f10,f16,f1274,f1008,f1270,f1139,f1157,f1179,f1028,f1021,f837,f795,f791,f746,f669,f2657,f640,f2658,f629,f28,f2660,f355,f349,f29,f17,f11,f23,f2661,f327,f2662,f2703,f2704,f2705,f2702,f2709,f2716,f2717,f2718,f948,f1361,f2388,f2386,f2845,f1515]) ).

fof(f2851,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | spl0_7
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2850]) ).

fof(f2850,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | spl0_7
    | spl0_9 ),
    inference(subsumption_resolution,[],[f2849,f1361]) ).

fof(f2849,plain,
    ( sk_c7 = multiply(sk_c6,sk_c6)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | spl0_9 ),
    inference(forward_demodulation,[],[f2564,f2662]) ).

fof(f2847,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | spl0_7
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2846]) ).

fof(f2846,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | spl0_7
    | spl0_9 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f61,f140,f34,f30,f32,f31,f24,f9,f6,f4,f26,f8,f7,f38,f281,f284,f282,f280,f297,f289,f305,f307,f138,f321,f25,f333,f334,f341,f291,f351,f352,f347,f361,f358,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f906,f1296,f18,f12,f20,f19,f14,f13,f331,f1325,f1326,f1335,f1336,f1330,f1331,f1333,f1334,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f2192,f2163,f2381,f2151,f2103,f2058,f726,f21,f1029,f15,f1147,f2389,f1167,f1515,f1502,f2564,f27,f2568,f2563,f2567,f2634,f22,f2635,f33,f2390,f2191,f2190,f2182,f2181,f2177,f2636,f2638,f2639,f2158,f836,f823,f803,f2087,f2081,f2124,f2640,f1273,f1027,f1020,f1006,f1290,f827,f824,f1257,f1138,f1279,f1278,f1143,f1269,f1177,f1039,f961,f960,f950,f949,f1304,f1303,f697,f691,f645,f644,f634,f633,f588,f585,f959,f2654,f10,f16,f1274,f1008,f1270,f1139,f1157,f1179,f1028,f1021,f837,f795,f791,f746,f669,f2657,f640,f2658,f629,f28,f2660,f355,f349,f29,f17,f11,f23,f2661,f327,f2662,f2703,f2704,f2705,f2702,f2709,f2716,f2717,f2718,f948,f1361,f2388,f2386,f2845]) ).

fof(f2841,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f2840]) ).

fof(f2840,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_7 ),
    inference(subsumption_resolution,[],[f2839,f1361]) ).

fof(f2839,plain,
    ( sk_c7 = multiply(sk_c6,sk_c6)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f2833,f2662]) ).

fof(f2838,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | spl0_6
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2837]) ).

fof(f2837,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | spl0_6
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f2836,f2778]) ).

fof(f2836,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2835,f281]) ).

fof(f2835,plain,
    ( sk_c7 = multiply(sk_c6,sk_c7)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2834,f2662]) ).

fof(f2632,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_6
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2631]) ).

fof(f2631,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_6
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f1503,f23,f17,f29,f11,f1,f2,f5,f42,f44,f3,f64,f61,f140,f143,f159,f34,f30,f28,f16,f10,f32,f31,f24,f22,f9,f6,f4,f26,f8,f7,f38,f281,f284,f285,f282,f286,f294,f280,f295,f297,f288,f303,f289,f305,f307,f292,f308,f311,f300,f313,f138,f321,f25,f291,f351,f352,f347,f361,f358,f364,f363,f368,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f1256,f1143,f1142,f1257,f1259,f1260,f1138,f1177,f1027,f1020,f1266,f1268,f1269,f1271,f1272,f1006,f1273,f1278,f1279,f1039,f961,f960,f959,f958,f957,f950,f949,f948,f947,f836,f1289,f924,f827,f1290,f824,f823,f906,f1296,f803,f697,f691,f1303,f645,f644,f1304,f634,f633,f588,f585,f18,f12,f20,f19,f14,f13,f946,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f2268,f2193,f2192,f2163,f2382,f2152,f2151,f2099,f2059,f2058,f726,f21,f1261,f1030,f1029,f15,f1194,f1147,f1146,f1168,f1255,f1167,f1320,f1315,f1357,f2459,f2539,f2540,f2534,f2561,f33,f2565,f27,f2571,f2556,f2541,f2529,f326]) ).

fof(f2529,plain,
    ( sk_c5 = multiply(sk_c6,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6 ),
    inference(superposition,[],[f280,f2459]) ).

fof(f2541,plain,
    ( sk_c5 = multiply(sk_c6,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6 ),
    inference(forward_demodulation,[],[f2533,f38]) ).

fof(f2533,plain,
    ( sk_c5 = multiply(inverse(sk_c7),sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6 ),
    inference(superposition,[],[f61,f2459]) ).

fof(f2556,plain,
    ( sk_c7 = multiply(sk_c6,sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6 ),
    inference(subsumption_resolution,[],[f1320,f1357]) ).

fof(f2571,plain,
    ( sk_c7 = inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6 ),
    inference(subsumption_resolution,[],[f2570,f1357]) ).

fof(f2570,plain,
    ( identity = sk_c6
    | sk_c7 = inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2569,f281]) ).

fof(f2569,plain,
    ( sk_c6 = multiply(sk_c6,sk_c7)
    | sk_c7 = inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f22,f363]) ).

fof(f2565,plain,
    ( sk_c7 = multiply(sk_c1,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6 ),
    inference(global_subsumption,[],[f23,f17,f29,f11,f1,f2,f5,f42,f44,f3,f64,f61,f140,f143,f159,f34,f30,f28,f16,f10,f32,f31,f27,f24,f22,f9,f6,f4,f26,f8,f7,f38,f281,f284,f285,f282,f286,f294,f280,f295,f297,f288,f303,f289,f305,f307,f292,f308,f311,f300,f313,f138,f321,f25,f291,f351,f352,f347,f361,f358,f364,f363,f368,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f1256,f1143,f1142,f1257,f1259,f1260,f1138,f1177,f1027,f1020,f1266,f1268,f1269,f1271,f1272,f1006,f1273,f1278,f1279,f1039,f961,f960,f959,f958,f957,f950,f949,f948,f947,f836,f1289,f924,f827,f1290,f824,f823,f906,f1296,f803,f697,f691,f1303,f645,f644,f1304,f634,f633,f588,f585,f18,f12,f20,f19,f14,f13,f946,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f2268,f2193,f2192,f2163,f2382,f2152,f2151,f2099,f2059,f2058,f726,f21,f1261,f1030,f1029,f15,f1194,f1147,f1146,f1168,f1255,f1167,f1320,f1315,f1357,f2459,f2539,f2540,f2534,f2561,f33]) ).

fof(f2561,plain,
    ( sk_c7 = multiply(sk_c1,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6 ),
    inference(subsumption_resolution,[],[f564,f1357]) ).

fof(f564,plain,
    ( identity = sk_c6
    | sk_c7 = multiply(sk_c1,sk_c6)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f563,f281]) ).

fof(f563,plain,
    ( sk_c6 = multiply(sk_c6,sk_c7)
    | sk_c7 = multiply(sk_c1,sk_c6)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f28,f288]) ).

fof(f2534,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c5,X0))
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6 ),
    inference(superposition,[],[f3,f2459]) ).

fof(f2540,plain,
    ( identity = multiply(sk_c7,multiply(sk_c5,sk_c7))
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6 ),
    inference(forward_demodulation,[],[f2532,f368]) ).

fof(f2532,plain,
    ( identity = multiply(sk_c7,multiply(sk_c5,inverse(sk_c6)))
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6 ),
    inference(superposition,[],[f696,f2459]) ).

fof(f2539,plain,
    ( sk_c6 = multiply(sk_c5,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6 ),
    inference(forward_demodulation,[],[f2538,f38]) ).

fof(f2538,plain,
    ( inverse(sk_c7) = multiply(sk_c5,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6 ),
    inference(forward_demodulation,[],[f2531,f368]) ).

fof(f2531,plain,
    ( inverse(sk_c7) = multiply(sk_c5,inverse(sk_c6))
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6 ),
    inference(superposition,[],[f979,f2459]) ).

fof(f2459,plain,
    ( sk_c6 = multiply(sk_c7,sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6 ),
    inference(subsumption_resolution,[],[f1315,f1357]) ).

fof(f1315,plain,
    ( identity = sk_c6
    | sk_c6 = multiply(sk_c7,sk_c5)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1314,f281]) ).

fof(f1314,plain,
    ( sk_c6 = multiply(sk_c6,sk_c7)
    | sk_c6 = multiply(sk_c7,sk_c5)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f16,f363]) ).

fof(f1320,plain,
    ( identity = sk_c6
    | sk_c7 = multiply(sk_c6,sk_c5)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1319,f281]) ).

fof(f1319,plain,
    ( sk_c6 = multiply(sk_c6,sk_c7)
    | sk_c7 = multiply(sk_c6,sk_c5)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f10,f363]) ).

fof(f1255,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c6),sk_c7) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1169,f363]) ).

fof(f1169,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c2),sk_c7) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f1072,f42]) ).

fof(f1168,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c6),sk_c7) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1072,f368]) ).

fof(f1146,plain,
    ( ! [X0] : sk_c7 = multiply(X0,inverse(multiply(sk_c6,X0)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1072,f300]) ).

fof(f1194,plain,
    ( ! [X0] : sk_c7 = multiply(X0,inverse(multiply(sk_c6,X0)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1145,f288]) ).

fof(f1145,plain,
    ( ! [X0] : sk_c7 = multiply(X0,inverse(multiply(sk_c2,X0)))
    | ~ spl0_2 ),
    inference(superposition,[],[f1072,f64]) ).

fof(f1030,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c6)) = multiply(sk_c7,inverse(X0))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f300,f979]) ).

fof(f1261,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c6)) = multiply(sk_c7,inverse(X0))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1032,f363]) ).

fof(f1032,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c2)) = multiply(sk_c7,inverse(X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f64,f979]) ).

fof(f2059,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c7),sk_c6) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1166,f368]) ).

fof(f2099,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c7),sk_c6) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2060,f363]) ).

fof(f2060,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c7),sk_c2) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f1166,f42]) ).

fof(f2152,plain,
    ( ! [X0] : sk_c6 = multiply(X0,inverse(multiply(sk_c7,X0)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f983,f368]) ).

fof(f2382,plain,
    ( ! [X0] : sk_c6 = multiply(X0,inverse(multiply(sk_c7,X0)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2153,f363]) ).

fof(f2153,plain,
    ( ! [X0] : sk_c2 = multiply(X0,inverse(multiply(sk_c7,X0)))
    | ~ spl0_2 ),
    inference(superposition,[],[f983,f42]) ).

fof(f2193,plain,
    ( ! [X0] : multiply(sk_c7,X0) = inverse(multiply(inverse(X0),sk_c6))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f300,f983]) ).

fof(f2268,plain,
    ( ! [X0] : multiply(sk_c7,X0) = inverse(multiply(inverse(X0),sk_c6))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2195,f363]) ).

fof(f2195,plain,
    ( ! [X0] : multiply(sk_c7,X0) = inverse(multiply(inverse(X0),sk_c2))
    | ~ spl0_2 ),
    inference(superposition,[],[f64,f983]) ).

fof(f946,plain,
    ( identity = inverse(identity)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f841,f44]) ).

fof(f841,plain,
    ( identity = inverse(multiply(sk_c7,sk_c2))
    | ~ spl0_2 ),
    inference(superposition,[],[f696,f64]) ).

fof(f924,plain,
    ( identity = multiply(sk_c7,multiply(sk_c6,inverse(identity)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f830,f288]) ).

fof(f830,plain,
    ( identity = multiply(sk_c7,multiply(sk_c2,inverse(identity)))
    | ~ spl0_2 ),
    inference(superposition,[],[f696,f44]) ).

fof(f1289,plain,
    ( identity = multiply(sk_c7,multiply(sk_c6,inverse(identity)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f926,f368]) ).

fof(f926,plain,
    ( identity = multiply(inverse(sk_c6),multiply(sk_c6,inverse(identity)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f831,f288]) ).

fof(f831,plain,
    ( identity = multiply(inverse(sk_c6),multiply(sk_c2,inverse(identity)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f696,f286]) ).

fof(f947,plain,
    ( identity = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f842,f347]) ).

fof(f842,plain,
    ( identity = inverse(multiply(sk_c7,sk_c6))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f696,f300]) ).

fof(f957,plain,
    ( identity = inverse(identity)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f852,f44]) ).

fof(f852,plain,
    ( identity = inverse(multiply(sk_c7,sk_c2))
    | ~ spl0_2 ),
    inference(superposition,[],[f64,f696]) ).

fof(f958,plain,
    ( identity = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f853,f347]) ).

fof(f853,plain,
    ( identity = inverse(multiply(sk_c7,sk_c6))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f300,f696]) ).

fof(f1272,plain,
    ( sk_c7 = multiply(sk_c7,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1008,f368]) ).

fof(f1271,plain,
    ( sk_c7 = multiply(sk_c7,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1270,f368]) ).

fof(f1268,plain,
    ( sk_c6 = multiply(sk_c6,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1267,f38]) ).

fof(f1267,plain,
    ( inverse(sk_c7) = multiply(sk_c6,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1014,f363]) ).

fof(f1014,plain,
    ( inverse(sk_c7) = multiply(sk_c2,inverse(identity))
    | ~ spl0_2 ),
    inference(superposition,[],[f979,f44]) ).

fof(f1266,plain,
    ( sk_c6 = multiply(sk_c6,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1265,f631]) ).

fof(f1265,plain,
    ( inverse(inverse(sk_c6)) = multiply(sk_c6,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1015,f363]) ).

fof(f1015,plain,
    ( inverse(inverse(sk_c6)) = multiply(sk_c2,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f979,f286]) ).

fof(f1260,plain,
    ( sk_c7 = multiply(sk_c7,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1139,f368]) ).

fof(f1259,plain,
    ( sk_c6 = multiply(sk_c6,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1258,f631]) ).

fof(f1258,plain,
    ( inverse(inverse(sk_c6)) = multiply(sk_c6,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1140,f363]) ).

fof(f1140,plain,
    ( inverse(inverse(sk_c6)) = multiply(sk_c2,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1072,f292]) ).

fof(f1142,plain,
    ( sk_c7 = multiply(sk_c7,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1072,f313]) ).

fof(f1256,plain,
    ( sk_c6 = multiply(sk_c6,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1144,f363]) ).

fof(f1144,plain,
    ( sk_c6 = multiply(sk_c2,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1072,f285]) ).

fof(f368,plain,
    ( sk_c7 = inverse(sk_c6)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f42,f363]) ).

fof(f363,plain,
    ( sk_c6 = sk_c2
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f358,f285]) ).

fof(f364,plain,
    ( sk_c6 = sk_c2
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f285,f358]) ).

fof(f313,plain,
    ( sk_c7 = multiply(sk_c7,identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f300,f281]) ).

fof(f300,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c6,X0)) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f64,f288]) ).

fof(f311,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(inverse(sk_c6)),X0)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f310,f288]) ).

fof(f310,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(inverse(sk_c6)),X0)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f309,f1]) ).

fof(f309,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(inverse(sk_c6)),multiply(identity,X0))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f292]) ).

fof(f308,plain,
    ( identity = multiply(inverse(inverse(inverse(sk_c6))),sk_c2)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f61,f292]) ).

fof(f292,plain,
    ( sk_c2 = multiply(inverse(inverse(sk_c6)),identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f61,f286]) ).

fof(f303,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c6,X0)) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f301,f42]) ).

fof(f301,plain,
    ( ! [X0] : multiply(inverse(sk_c2),multiply(sk_c6,X0)) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f61,f288]) ).

fof(f288,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c2,X0)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f287,f1]) ).

fof(f287,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(sk_c6,multiply(identity,X0))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f285]) ).

fof(f295,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c2,X0)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f280,f64]) ).

fof(f294,plain,
    ( ! [X0] : multiply(inverse(sk_c6),multiply(sk_c2,X0)) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f293,f1]) ).

fof(f293,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(sk_c6),multiply(sk_c2,X0))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f286]) ).

fof(f286,plain,
    ( identity = multiply(inverse(sk_c6),sk_c2)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f61,f285]) ).

fof(f285,plain,
    ( sk_c2 = multiply(sk_c6,identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f159,f38]) ).

fof(f159,plain,
    ( sk_c2 = multiply(inverse(sk_c7),identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f61,f44]) ).

fof(f143,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(sk_c7),X0)
    | ~ spl0_2 ),
    inference(superposition,[],[f61,f64]) ).

fof(f64,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c2,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f58,f1]) ).

fof(f58,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c2,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f44]) ).

fof(f44,plain,
    ( identity = multiply(sk_c7,sk_c2)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f42]) ).

fof(f42,plain,
    ( sk_c7 = inverse(sk_c2)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f40]) ).

fof(f2630,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_6
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2629]) ).

fof(f2629,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_6
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f2433,f23,f17,f29,f11,f1,f2,f5,f42,f44,f3,f64,f61,f140,f143,f159,f34,f30,f28,f16,f10,f32,f31,f24,f22,f9,f6,f4,f26,f8,f7,f38,f281,f284,f285,f282,f286,f294,f280,f295,f297,f288,f303,f289,f305,f307,f292,f308,f311,f300,f313,f138,f321,f25,f291,f351,f352,f347,f361,f358,f364,f363,f368,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f1256,f1143,f1142,f1257,f1259,f1260,f1138,f1177,f1027,f1020,f1266,f1268,f1269,f1271,f1272,f1006,f1273,f1278,f1279,f1039,f961,f960,f959,f958,f957,f950,f949,f948,f947,f836,f1289,f924,f827,f1290,f824,f823,f906,f1296,f803,f697,f691,f1303,f645,f644,f1304,f634,f633,f588,f585,f18,f12,f20,f19,f14,f13,f946,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f2268,f2193,f2192,f2163,f2382,f2152,f2151,f2099,f2059,f2058,f726,f21,f1261,f1030,f1029,f15,f1194,f1147,f1146,f1168,f1255,f1167,f1320,f1315,f1357,f2459,f2539,f2540,f2534,f2561,f33,f2565,f27,f2571,f2556,f2541,f2529,f326]) ).

fof(f2628,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_6
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2627]) ).

fof(f2627,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_6
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f2403,f23,f17,f29,f11,f1,f2,f5,f42,f44,f3,f64,f61,f140,f143,f159,f34,f30,f28,f16,f10,f32,f31,f24,f22,f9,f6,f4,f26,f8,f7,f38,f281,f284,f285,f282,f286,f294,f280,f295,f297,f288,f303,f289,f305,f307,f292,f308,f311,f300,f313,f138,f321,f25,f291,f351,f352,f347,f361,f358,f364,f363,f368,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f1256,f1143,f1142,f1257,f1259,f1260,f1138,f1177,f1027,f1020,f1266,f1268,f1269,f1271,f1272,f1006,f1273,f1278,f1279,f1039,f961,f960,f959,f958,f957,f950,f949,f948,f947,f836,f1289,f924,f827,f1290,f824,f823,f906,f1296,f803,f697,f691,f1303,f645,f644,f1304,f634,f633,f588,f585,f18,f12,f20,f19,f14,f13,f946,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f2268,f2193,f2192,f2163,f2382,f2152,f2151,f2099,f2059,f2058,f726,f21,f1261,f1030,f1029,f15,f1194,f1147,f1146,f1168,f1255,f1167,f1320,f1315,f1357,f2459,f2539,f2540,f2534,f2561,f33,f2565,f27,f2571,f2556,f2541,f2529,f326]) ).

fof(f2626,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_6
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2625]) ).

fof(f2625,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_6
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f2405,f23,f17,f29,f11,f1,f2,f5,f42,f44,f3,f64,f61,f140,f143,f159,f34,f30,f28,f16,f10,f32,f31,f24,f22,f9,f6,f4,f26,f8,f7,f38,f281,f284,f285,f282,f286,f294,f280,f295,f297,f288,f303,f289,f305,f307,f292,f308,f311,f300,f313,f138,f321,f25,f291,f351,f352,f347,f361,f358,f364,f363,f368,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f1256,f1143,f1142,f1257,f1259,f1260,f1138,f1177,f1027,f1020,f1266,f1268,f1269,f1271,f1272,f1006,f1273,f1278,f1279,f1039,f961,f960,f959,f958,f957,f950,f949,f948,f947,f836,f1289,f924,f827,f1290,f824,f823,f906,f1296,f803,f697,f691,f1303,f645,f644,f1304,f634,f633,f588,f585,f18,f12,f20,f19,f14,f13,f946,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f2268,f2193,f2192,f2163,f2382,f2152,f2151,f2099,f2059,f2058,f726,f21,f1261,f1030,f1029,f15,f1194,f1147,f1146,f1168,f1255,f1167,f1320,f1315,f1357,f2459,f2539,f2540,f2534,f2561,f33,f2565,f27,f2571,f2556,f2541,f2529,f326]) ).

fof(f2405,plain,
    ( identity = multiply(identity,sk_c4)
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(superposition,[],[f1524,f1503]) ).

fof(f2624,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_6
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2623]) ).

fof(f2623,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_6
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f2435,f23,f17,f29,f11,f1,f2,f5,f42,f44,f3,f64,f61,f140,f143,f159,f34,f30,f28,f16,f10,f32,f31,f24,f22,f9,f6,f4,f26,f8,f7,f38,f281,f284,f285,f282,f286,f294,f280,f295,f297,f288,f303,f289,f305,f307,f292,f308,f311,f300,f313,f138,f321,f25,f291,f351,f352,f347,f361,f358,f364,f363,f368,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f1256,f1143,f1142,f1257,f1259,f1260,f1138,f1177,f1027,f1020,f1266,f1268,f1269,f1271,f1272,f1006,f1273,f1278,f1279,f1039,f961,f960,f959,f958,f957,f950,f949,f948,f947,f836,f1289,f924,f827,f1290,f824,f823,f906,f1296,f803,f697,f691,f1303,f645,f644,f1304,f634,f633,f588,f585,f18,f12,f20,f19,f14,f13,f946,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f2268,f2193,f2192,f2163,f2382,f2152,f2151,f2099,f2059,f2058,f726,f21,f1261,f1030,f1029,f15,f1194,f1147,f1146,f1168,f1255,f1167,f1320,f1315,f1357,f2459,f2539,f2540,f2534,f2561,f33,f2565,f27,f2571,f2556,f2541,f2529,f326]) ).

fof(f2435,plain,
    ( identity = sk_c4
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2434,f2]) ).

fof(f2434,plain,
    ( ! [X0] : multiply(inverse(X0),X0) = sk_c4
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2428,f613]) ).

fof(f2428,plain,
    ( ! [X0] : sk_c4 = multiply(inverse(multiply(X0,identity)),X0)
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(superposition,[],[f1634,f2403]) ).

fof(f2622,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_6
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2621]) ).

fof(f2621,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_6
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f2474,f23,f17,f29,f11,f1,f2,f5,f42,f44,f3,f64,f61,f140,f143,f159,f34,f30,f28,f16,f10,f32,f31,f24,f22,f9,f6,f4,f26,f8,f7,f38,f281,f284,f285,f282,f286,f294,f280,f295,f297,f288,f303,f289,f305,f307,f292,f308,f311,f300,f313,f138,f321,f25,f291,f351,f352,f347,f361,f358,f364,f363,f368,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f1256,f1143,f1142,f1257,f1259,f1260,f1138,f1177,f1027,f1020,f1266,f1268,f1269,f1271,f1272,f1006,f1273,f1278,f1279,f1039,f961,f960,f959,f958,f957,f950,f949,f948,f947,f836,f1289,f924,f827,f1290,f824,f823,f906,f1296,f803,f697,f691,f1303,f645,f644,f1304,f634,f633,f588,f585,f18,f12,f20,f19,f14,f13,f946,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f2268,f2193,f2192,f2163,f2382,f2152,f2151,f2099,f2059,f2058,f726,f21,f1261,f1030,f1029,f15,f1194,f1147,f1146,f1168,f1255,f1167,f1320,f1315,f1357,f2459,f2539,f2540,f2534,f2561,f33,f2565,f27,f2571,f2556,f2541,f2529,f326]) ).

fof(f2474,plain,
    ( identity != sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6
    | ~ spl0_9 ),
    inference(superposition,[],[f1357,f2461]) ).

fof(f2461,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2460,f313]) ).

fof(f2460,plain,
    ( sk_c6 = multiply(sk_c7,identity)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2459,f2403]) ).

fof(f2620,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_6
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2619]) ).

fof(f2619,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_6
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f2499,f23,f17,f29,f11,f1,f2,f5,f42,f44,f3,f64,f61,f140,f143,f159,f34,f30,f28,f16,f10,f32,f31,f24,f22,f9,f6,f4,f26,f8,f7,f38,f281,f284,f285,f282,f286,f294,f280,f295,f297,f288,f303,f289,f305,f307,f292,f308,f311,f300,f313,f138,f321,f25,f291,f351,f352,f347,f361,f358,f364,f363,f368,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f1256,f1143,f1142,f1257,f1259,f1260,f1138,f1177,f1027,f1020,f1266,f1268,f1269,f1271,f1272,f1006,f1273,f1278,f1279,f1039,f961,f960,f959,f958,f957,f950,f949,f948,f947,f836,f1289,f924,f827,f1290,f824,f823,f906,f1296,f803,f697,f691,f1303,f645,f644,f1304,f634,f633,f588,f585,f18,f12,f20,f19,f14,f13,f946,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f2268,f2193,f2192,f2163,f2382,f2152,f2151,f2099,f2059,f2058,f726,f21,f1261,f1030,f1029,f15,f1194,f1147,f1146,f1168,f1255,f1167,f1320,f1315,f1357,f2459,f2539,f2540,f2534,f2561,f33,f2565,f27,f2571,f2556,f2541,f2529,f326]) ).

fof(f2499,plain,
    ( identity = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6
    | ~ spl0_9 ),
    inference(superposition,[],[f611,f2485]) ).

fof(f2485,plain,
    ( sk_c7 = inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6
    | ~ spl0_9 ),
    inference(superposition,[],[f42,f2478]) ).

fof(f2478,plain,
    ( sk_c7 = sk_c2
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2465,f313]) ).

fof(f2465,plain,
    ( sk_c2 = multiply(sk_c7,identity)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6
    | ~ spl0_9 ),
    inference(superposition,[],[f285,f2461]) ).

fof(f2618,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_6
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2617]) ).

fof(f2617,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_6
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f2412,f23,f17,f29,f11,f1,f2,f5,f42,f44,f3,f64,f61,f140,f143,f159,f34,f30,f28,f16,f10,f32,f31,f24,f22,f9,f6,f4,f26,f8,f7,f38,f281,f284,f285,f282,f286,f294,f280,f295,f297,f288,f303,f289,f305,f307,f292,f308,f311,f300,f313,f138,f321,f25,f291,f351,f352,f347,f361,f358,f364,f363,f368,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f1256,f1143,f1142,f1257,f1259,f1260,f1138,f1177,f1027,f1020,f1266,f1268,f1269,f1271,f1272,f1006,f1273,f1278,f1279,f1039,f961,f960,f959,f958,f957,f950,f949,f948,f947,f836,f1289,f924,f827,f1290,f824,f823,f906,f1296,f803,f697,f691,f1303,f645,f644,f1304,f634,f633,f588,f585,f18,f12,f20,f19,f14,f13,f946,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f2268,f2193,f2192,f2163,f2382,f2152,f2151,f2099,f2059,f2058,f726,f21,f1261,f1030,f1029,f15,f1194,f1147,f1146,f1168,f1255,f1167,f1320,f1315,f1357,f2459,f2539,f2540,f2534,f2561,f33,f2565,f27,f2571,f2556,f2541,f2529,f326]) ).

fof(f2412,plain,
    ( identity = sk_c4
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2404,f2]) ).

fof(f2404,plain,
    ( sk_c4 = multiply(inverse(identity),identity)
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(superposition,[],[f1634,f1503]) ).

fof(f2616,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_6
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2615]) ).

fof(f2615,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_6
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f2413,f23,f17,f29,f11,f1,f2,f5,f42,f44,f3,f64,f61,f140,f143,f159,f34,f30,f28,f16,f10,f32,f31,f24,f22,f9,f6,f4,f26,f8,f7,f38,f281,f284,f285,f282,f286,f294,f280,f295,f297,f288,f303,f289,f305,f307,f292,f308,f311,f300,f313,f138,f321,f25,f291,f351,f352,f347,f361,f358,f364,f363,f368,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f1256,f1143,f1142,f1257,f1259,f1260,f1138,f1177,f1027,f1020,f1266,f1268,f1269,f1271,f1272,f1006,f1273,f1278,f1279,f1039,f961,f960,f959,f958,f957,f950,f949,f948,f947,f836,f1289,f924,f827,f1290,f824,f823,f906,f1296,f803,f697,f691,f1303,f645,f644,f1304,f634,f633,f588,f585,f18,f12,f20,f19,f14,f13,f946,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f2268,f2193,f2192,f2163,f2382,f2152,f2151,f2099,f2059,f2058,f726,f21,f1261,f1030,f1029,f15,f1194,f1147,f1146,f1168,f1255,f1167,f1320,f1315,f1357,f2459,f2539,f2540,f2534,f2561,f33,f2565,f27,f2571,f2556,f2541,f2529,f326]) ).

fof(f2413,plain,
    ( identity = multiply(identity,sk_c4)
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2407,f1512]) ).

fof(f2407,plain,
    ( identity = multiply(identity,inverse(sk_c5))
    | ~ spl0_9 ),
    inference(superposition,[],[f1072,f1503]) ).

fof(f2614,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_6
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2613]) ).

fof(f2613,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_6
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f2414,f23,f17,f29,f11,f1,f2,f5,f42,f44,f3,f64,f61,f140,f143,f159,f34,f30,f28,f16,f10,f32,f31,f24,f22,f9,f6,f4,f26,f8,f7,f38,f281,f284,f285,f282,f286,f294,f280,f295,f297,f288,f303,f289,f305,f307,f292,f308,f311,f300,f313,f138,f321,f25,f291,f351,f352,f347,f361,f358,f364,f363,f368,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f1256,f1143,f1142,f1257,f1259,f1260,f1138,f1177,f1027,f1020,f1266,f1268,f1269,f1271,f1272,f1006,f1273,f1278,f1279,f1039,f961,f960,f959,f958,f957,f950,f949,f948,f947,f836,f1289,f924,f827,f1290,f824,f823,f906,f1296,f803,f697,f691,f1303,f645,f644,f1304,f634,f633,f588,f585,f18,f12,f20,f19,f14,f13,f946,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f2268,f2193,f2192,f2163,f2382,f2152,f2151,f2099,f2059,f2058,f726,f21,f1261,f1030,f1029,f15,f1194,f1147,f1146,f1168,f1255,f1167,f1320,f1315,f1357,f2459,f2539,f2540,f2534,f2561,f33,f2565,f27,f2571,f2556,f2541,f2529,f326]) ).

fof(f2414,plain,
    ( identity = multiply(sk_c5,identity)
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2408,f946]) ).

fof(f2408,plain,
    ( inverse(identity) = multiply(sk_c5,inverse(identity))
    | ~ spl0_9 ),
    inference(superposition,[],[f979,f1503]) ).

fof(f2612,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_6
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2611]) ).

fof(f2611,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_6
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f2478,f23,f17,f29,f11,f1,f2,f5,f42,f44,f3,f64,f61,f140,f143,f159,f34,f30,f28,f16,f10,f32,f31,f24,f22,f9,f6,f4,f26,f8,f7,f38,f281,f284,f285,f282,f286,f294,f280,f295,f297,f288,f303,f289,f305,f307,f292,f308,f311,f300,f313,f138,f321,f25,f291,f351,f352,f347,f361,f358,f364,f363,f368,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f1256,f1143,f1142,f1257,f1259,f1260,f1138,f1177,f1027,f1020,f1266,f1268,f1269,f1271,f1272,f1006,f1273,f1278,f1279,f1039,f961,f960,f959,f958,f957,f950,f949,f948,f947,f836,f1289,f924,f827,f1290,f824,f823,f906,f1296,f803,f697,f691,f1303,f645,f644,f1304,f634,f633,f588,f585,f18,f12,f20,f19,f14,f13,f946,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f2268,f2193,f2192,f2163,f2382,f2152,f2151,f2099,f2059,f2058,f726,f21,f1261,f1030,f1029,f15,f1194,f1147,f1146,f1168,f1255,f1167,f1320,f1315,f1357,f2459,f2539,f2540,f2534,f2561,f33,f2565,f27,f2571,f2556,f2541,f2529,f326]) ).

fof(f2610,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_6
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2609]) ).

fof(f2609,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_6
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f2461,f23,f17,f29,f11,f1,f2,f5,f42,f44,f3,f64,f61,f140,f143,f159,f34,f30,f28,f16,f10,f32,f31,f24,f22,f9,f6,f4,f26,f8,f7,f38,f281,f284,f285,f282,f286,f294,f280,f295,f297,f288,f303,f289,f305,f307,f292,f308,f311,f300,f313,f138,f321,f25,f291,f351,f352,f347,f361,f358,f364,f363,f368,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f1256,f1143,f1142,f1257,f1259,f1260,f1138,f1177,f1027,f1020,f1266,f1268,f1269,f1271,f1272,f1006,f1273,f1278,f1279,f1039,f961,f960,f959,f958,f957,f950,f949,f948,f947,f836,f1289,f924,f827,f1290,f824,f823,f906,f1296,f803,f697,f691,f1303,f645,f644,f1304,f634,f633,f588,f585,f18,f12,f20,f19,f14,f13,f946,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f2268,f2193,f2192,f2163,f2382,f2152,f2151,f2099,f2059,f2058,f726,f21,f1261,f1030,f1029,f15,f1194,f1147,f1146,f1168,f1255,f1167,f1320,f1315,f1357,f2459,f2539,f2540,f2534,f2561,f33,f2565,f27,f2571,f2556,f2541,f2529,f326]) ).

fof(f2608,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_6
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2607]) ).

fof(f2607,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_6
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f2491,f23,f17,f29,f11,f1,f2,f5,f42,f44,f3,f64,f61,f140,f143,f159,f34,f30,f28,f16,f10,f32,f31,f24,f22,f9,f6,f4,f26,f8,f7,f38,f281,f284,f285,f282,f286,f294,f280,f295,f297,f288,f303,f289,f305,f307,f292,f308,f311,f300,f313,f138,f321,f25,f291,f351,f352,f347,f361,f358,f364,f363,f368,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f1256,f1143,f1142,f1257,f1259,f1260,f1138,f1177,f1027,f1020,f1266,f1268,f1269,f1271,f1272,f1006,f1273,f1278,f1279,f1039,f961,f960,f959,f958,f957,f950,f949,f948,f947,f836,f1289,f924,f827,f1290,f824,f823,f906,f1296,f803,f697,f691,f1303,f645,f644,f1304,f634,f633,f588,f585,f18,f12,f20,f19,f14,f13,f946,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f2268,f2193,f2192,f2163,f2382,f2152,f2151,f2099,f2059,f2058,f726,f21,f1261,f1030,f1029,f15,f1194,f1147,f1146,f1168,f1255,f1167,f1320,f1315,f1357,f2459,f2539,f2540,f2534,f2561,f33,f2565,f27,f2571,f2556,f2541,f2529,f326]) ).

fof(f2491,plain,
    ( identity = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2488,f368]) ).

fof(f2488,plain,
    ( identity = multiply(inverse(sk_c6),sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6
    | ~ spl0_9 ),
    inference(superposition,[],[f286,f2478]) ).

fof(f2606,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_6
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2605]) ).

fof(f2605,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_6
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f2463,f23,f17,f29,f11,f1,f2,f5,f42,f44,f3,f64,f61,f140,f143,f159,f34,f30,f28,f16,f10,f32,f31,f24,f22,f9,f6,f4,f26,f8,f7,f38,f281,f284,f285,f282,f286,f294,f280,f295,f297,f288,f303,f289,f305,f307,f292,f308,f311,f300,f313,f138,f321,f25,f291,f351,f352,f347,f361,f358,f364,f363,f368,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f1256,f1143,f1142,f1257,f1259,f1260,f1138,f1177,f1027,f1020,f1266,f1268,f1269,f1271,f1272,f1006,f1273,f1278,f1279,f1039,f961,f960,f959,f958,f957,f950,f949,f948,f947,f836,f1289,f924,f827,f1290,f824,f823,f906,f1296,f803,f697,f691,f1303,f645,f644,f1304,f634,f633,f588,f585,f18,f12,f20,f19,f14,f13,f946,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f2268,f2193,f2192,f2163,f2382,f2152,f2151,f2099,f2059,f2058,f726,f21,f1261,f1030,f1029,f15,f1194,f1147,f1146,f1168,f1255,f1167,f1320,f1315,f1357,f2459,f2539,f2540,f2534,f2561,f33,f2565,f27,f2571,f2556,f2541,f2529,f326]) ).

fof(f2463,plain,
    ( identity = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6
    | ~ spl0_9 ),
    inference(superposition,[],[f281,f2461]) ).

fof(f2604,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_6
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2603]) ).

fof(f2603,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_6
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f2420,f23,f17,f29,f11,f1,f2,f5,f42,f44,f3,f64,f61,f140,f143,f159,f34,f30,f28,f16,f10,f32,f31,f24,f22,f9,f6,f4,f26,f8,f7,f38,f281,f284,f285,f282,f286,f294,f280,f295,f297,f288,f303,f289,f305,f307,f292,f308,f311,f300,f313,f138,f321,f25,f291,f351,f352,f347,f361,f358,f364,f363,f368,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f1256,f1143,f1142,f1257,f1259,f1260,f1138,f1177,f1027,f1020,f1266,f1268,f1269,f1271,f1272,f1006,f1273,f1278,f1279,f1039,f961,f960,f959,f958,f957,f950,f949,f948,f947,f836,f1289,f924,f827,f1290,f824,f823,f906,f1296,f803,f697,f691,f1303,f645,f644,f1304,f634,f633,f588,f585,f18,f12,f20,f19,f14,f13,f946,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f2268,f2193,f2192,f2163,f2382,f2152,f2151,f2099,f2059,f2058,f726,f21,f1261,f1030,f1029,f15,f1194,f1147,f1146,f1168,f1255,f1167,f1320,f1315,f1357,f2459,f2539,f2540,f2534,f2561,f33,f2565,f27,f2571,f2556,f2541,f2529,f326]) ).

fof(f2420,plain,
    ( identity = multiply(identity,sk_c4)
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(superposition,[],[f1505,f2403]) ).

fof(f2602,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_6
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2601]) ).

fof(f2601,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_6
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f2481,f23,f17,f29,f11,f1,f2,f5,f42,f44,f3,f64,f61,f140,f143,f159,f34,f30,f28,f16,f10,f32,f31,f24,f22,f9,f6,f4,f26,f8,f7,f38,f281,f284,f285,f282,f286,f294,f280,f295,f297,f288,f303,f289,f305,f307,f292,f308,f311,f300,f313,f138,f321,f25,f291,f351,f352,f347,f361,f358,f364,f363,f368,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f1256,f1143,f1142,f1257,f1259,f1260,f1138,f1177,f1027,f1020,f1266,f1268,f1269,f1271,f1272,f1006,f1273,f1278,f1279,f1039,f961,f960,f959,f958,f957,f950,f949,f948,f947,f836,f1289,f924,f827,f1290,f824,f823,f906,f1296,f803,f697,f691,f1303,f645,f644,f1304,f634,f633,f588,f585,f18,f12,f20,f19,f14,f13,f946,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f2268,f2193,f2192,f2163,f2382,f2152,f2151,f2099,f2059,f2058,f726,f21,f1261,f1030,f1029,f15,f1194,f1147,f1146,f1168,f1255,f1167,f1320,f1315,f1357,f2459,f2539,f2540,f2534,f2561,f33,f2565,f27,f2571,f2556,f2541,f2529,f326]) ).

fof(f2481,plain,
    ( identity = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2467,f631]) ).

fof(f2467,plain,
    ( identity = multiply(inverse(inverse(sk_c7)),sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6
    | ~ spl0_9 ),
    inference(superposition,[],[f289,f2461]) ).

fof(f2600,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_6
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2599]) ).

fof(f2599,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_6
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f2422,f23,f17,f29,f11,f1,f2,f5,f42,f44,f3,f64,f61,f140,f143,f159,f34,f30,f28,f16,f10,f32,f31,f24,f22,f9,f6,f4,f26,f8,f7,f38,f281,f284,f285,f282,f286,f294,f280,f295,f297,f288,f303,f289,f305,f307,f292,f308,f311,f300,f313,f138,f321,f25,f291,f351,f352,f347,f361,f358,f364,f363,f368,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f1256,f1143,f1142,f1257,f1259,f1260,f1138,f1177,f1027,f1020,f1266,f1268,f1269,f1271,f1272,f1006,f1273,f1278,f1279,f1039,f961,f960,f959,f958,f957,f950,f949,f948,f947,f836,f1289,f924,f827,f1290,f824,f823,f906,f1296,f803,f697,f691,f1303,f645,f644,f1304,f634,f633,f588,f585,f18,f12,f20,f19,f14,f13,f946,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f2268,f2193,f2192,f2163,f2382,f2152,f2151,f2099,f2059,f2058,f726,f21,f1261,f1030,f1029,f15,f1194,f1147,f1146,f1168,f1255,f1167,f1320,f1315,f1357,f2459,f2539,f2540,f2534,f2561,f33,f2565,f27,f2571,f2556,f2541,f2529,f326]) ).

fof(f2422,plain,
    ( identity = multiply(sk_c4,identity)
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(superposition,[],[f1510,f2403]) ).

fof(f2598,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_6
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2597]) ).

fof(f2597,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_6
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f2596,f23,f17,f29,f11,f1,f2,f5,f42,f44,f3,f64,f61,f140,f143,f159,f34,f30,f28,f16,f10,f32,f31,f24,f22,f9,f6,f4,f26,f8,f7,f38,f281,f284,f285,f282,f286,f294,f280,f295,f297,f288,f303,f289,f305,f307,f292,f308,f311,f300,f313,f138,f321,f25,f291,f351,f352,f347,f361,f358,f364,f363,f368,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f1256,f1143,f1142,f1257,f1259,f1260,f1138,f1177,f1027,f1020,f1266,f1268,f1269,f1271,f1272,f1006,f1273,f1278,f1279,f1039,f961,f960,f959,f958,f957,f950,f949,f948,f947,f836,f1289,f924,f827,f1290,f824,f823,f906,f1296,f803,f697,f691,f1303,f645,f644,f1304,f634,f633,f588,f585,f18,f12,f20,f19,f14,f13,f946,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f2268,f2193,f2192,f2163,f2382,f2152,f2151,f2099,f2059,f2058,f726,f21,f1261,f1030,f1029,f15,f1194,f1147,f1146,f1168,f1255,f1167,f1320,f1315,f1357,f2459,f2539,f2540,f2534,f2561,f33,f2565,f27,f2571,f2556,f2541,f2529,f326]) ).

fof(f2596,plain,
    ( identity = sk_c4
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2424,f946]) ).

fof(f2595,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_6
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2594]) ).

fof(f2594,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_6
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f2494,f23,f17,f29,f11,f1,f2,f5,f42,f44,f3,f64,f61,f140,f143,f159,f34,f30,f28,f16,f10,f32,f31,f24,f22,f9,f6,f4,f26,f8,f7,f38,f281,f284,f285,f282,f286,f294,f280,f295,f297,f288,f303,f289,f305,f307,f292,f308,f311,f300,f313,f138,f321,f25,f291,f351,f352,f347,f361,f358,f364,f363,f368,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f1256,f1143,f1142,f1257,f1259,f1260,f1138,f1177,f1027,f1020,f1266,f1268,f1269,f1271,f1272,f1006,f1273,f1278,f1279,f1039,f961,f960,f959,f958,f957,f950,f949,f948,f947,f836,f1289,f924,f827,f1290,f824,f823,f906,f1296,f803,f697,f691,f1303,f645,f644,f1304,f634,f633,f588,f585,f18,f12,f20,f19,f14,f13,f946,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f2268,f2193,f2192,f2163,f2382,f2152,f2151,f2099,f2059,f2058,f726,f21,f1261,f1030,f1029,f15,f1194,f1147,f1146,f1168,f1255,f1167,f1320,f1315,f1357,f2459,f2539,f2540,f2534,f2561,f33,f2565,f27,f2571,f2556,f2541,f2529,f326]) ).

fof(f2494,plain,
    ( identity = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6
    | ~ spl0_9 ),
    inference(superposition,[],[f2,f2485]) ).

fof(f2593,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_6
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2592]) ).

fof(f2592,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_6
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f2508,f23,f17,f29,f11,f1,f2,f5,f42,f44,f3,f64,f61,f140,f143,f159,f34,f30,f28,f16,f10,f32,f31,f24,f22,f9,f6,f4,f26,f8,f7,f38,f281,f284,f285,f282,f286,f294,f280,f295,f297,f288,f303,f289,f305,f307,f292,f308,f311,f300,f313,f138,f321,f25,f291,f351,f352,f347,f361,f358,f364,f363,f368,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f1256,f1143,f1142,f1257,f1259,f1260,f1138,f1177,f1027,f1020,f1266,f1268,f1269,f1271,f1272,f1006,f1273,f1278,f1279,f1039,f961,f960,f959,f958,f957,f950,f949,f948,f947,f836,f1289,f924,f827,f1290,f824,f823,f906,f1296,f803,f697,f691,f1303,f645,f644,f1304,f634,f633,f588,f585,f18,f12,f20,f19,f14,f13,f946,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f2268,f2193,f2192,f2163,f2382,f2152,f2151,f2099,f2059,f2058,f726,f21,f1261,f1030,f1029,f15,f1194,f1147,f1146,f1168,f1255,f1167,f1320,f1315,f1357,f2459,f2539,f2540,f2534,f2561,f33,f2565,f27,f2571,f2556,f2541,f2529,f326]) ).

fof(f2508,plain,
    ( identity = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2498,f631]) ).

fof(f2498,plain,
    ( identity = multiply(inverse(inverse(sk_c7)),sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6
    | ~ spl0_9 ),
    inference(superposition,[],[f555,f2485]) ).

fof(f2591,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_6
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2590]) ).

fof(f2590,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_6
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f2485,f23,f17,f29,f11,f1,f2,f5,f42,f44,f3,f64,f61,f140,f143,f159,f34,f30,f28,f16,f10,f32,f31,f24,f22,f9,f6,f4,f26,f8,f7,f38,f281,f284,f285,f282,f286,f294,f280,f295,f297,f288,f303,f289,f305,f307,f292,f308,f311,f300,f313,f138,f321,f25,f291,f351,f352,f347,f361,f358,f364,f363,f368,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f1256,f1143,f1142,f1257,f1259,f1260,f1138,f1177,f1027,f1020,f1266,f1268,f1269,f1271,f1272,f1006,f1273,f1278,f1279,f1039,f961,f960,f959,f958,f957,f950,f949,f948,f947,f836,f1289,f924,f827,f1290,f824,f823,f906,f1296,f803,f697,f691,f1303,f645,f644,f1304,f634,f633,f588,f585,f18,f12,f20,f19,f14,f13,f946,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f2268,f2193,f2192,f2163,f2382,f2152,f2151,f2099,f2059,f2058,f726,f21,f1261,f1030,f1029,f15,f1194,f1147,f1146,f1168,f1255,f1167,f1320,f1315,f1357,f2459,f2539,f2540,f2534,f2561,f33,f2565,f27,f2571,f2556,f2541,f2529,f326]) ).

fof(f2589,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_6
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2588]) ).

fof(f2588,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_6
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f2486,f23,f17,f29,f11,f1,f2,f5,f42,f44,f3,f64,f61,f140,f143,f159,f34,f30,f28,f16,f10,f32,f31,f24,f22,f9,f6,f4,f26,f8,f7,f38,f281,f284,f285,f282,f286,f294,f280,f295,f297,f288,f303,f289,f305,f307,f292,f308,f311,f300,f313,f138,f321,f25,f291,f351,f352,f347,f361,f358,f364,f363,f368,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f1256,f1143,f1142,f1257,f1259,f1260,f1138,f1177,f1027,f1020,f1266,f1268,f1269,f1271,f1272,f1006,f1273,f1278,f1279,f1039,f961,f960,f959,f958,f957,f950,f949,f948,f947,f836,f1289,f924,f827,f1290,f824,f823,f906,f1296,f803,f697,f691,f1303,f645,f644,f1304,f634,f633,f588,f585,f18,f12,f20,f19,f14,f13,f946,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f2268,f2193,f2192,f2163,f2382,f2152,f2151,f2099,f2059,f2058,f726,f21,f1261,f1030,f1029,f15,f1194,f1147,f1146,f1168,f1255,f1167,f1320,f1315,f1357,f2459,f2539,f2540,f2534,f2561,f33,f2565,f27,f2571,f2556,f2541,f2529,f326]) ).

fof(f2486,plain,
    ( identity = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6
    | ~ spl0_9 ),
    inference(superposition,[],[f44,f2478]) ).

fof(f2587,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_6
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2586]) ).

fof(f2586,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_6
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f2429,f23,f17,f29,f11,f1,f2,f5,f42,f44,f3,f64,f61,f140,f143,f159,f34,f30,f28,f16,f10,f32,f31,f24,f22,f9,f6,f4,f26,f8,f7,f38,f281,f284,f285,f282,f286,f294,f280,f295,f297,f288,f303,f289,f305,f307,f292,f308,f311,f300,f313,f138,f321,f25,f291,f351,f352,f347,f361,f358,f364,f363,f368,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f1256,f1143,f1142,f1257,f1259,f1260,f1138,f1177,f1027,f1020,f1266,f1268,f1269,f1271,f1272,f1006,f1273,f1278,f1279,f1039,f961,f960,f959,f958,f957,f950,f949,f948,f947,f836,f1289,f924,f827,f1290,f824,f823,f906,f1296,f803,f697,f691,f1303,f645,f644,f1304,f634,f633,f588,f585,f18,f12,f20,f19,f14,f13,f946,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f2268,f2193,f2192,f2163,f2382,f2152,f2151,f2099,f2059,f2058,f726,f21,f1261,f1030,f1029,f15,f1194,f1147,f1146,f1168,f1255,f1167,f1320,f1315,f1357,f2459,f2539,f2540,f2534,f2561,f33,f2565,f27,f2571,f2556,f2541,f2529,f326]) ).

fof(f2429,plain,
    ( ! [X0] : multiply(sk_c4,X0) = X0
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2423,f1]) ).

fof(f2423,plain,
    ( ! [X0] : multiply(sk_c4,multiply(identity,X0)) = X0
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(superposition,[],[f1511,f2403]) ).

fof(f2585,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_6
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2584]) ).

fof(f2584,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_6
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f2430,f23,f17,f29,f11,f1,f2,f5,f42,f44,f3,f64,f61,f140,f143,f159,f34,f30,f28,f16,f10,f32,f31,f24,f22,f9,f6,f4,f26,f8,f7,f38,f281,f284,f285,f282,f286,f294,f280,f295,f297,f288,f303,f289,f305,f307,f292,f308,f311,f300,f313,f138,f321,f25,f291,f351,f352,f347,f361,f358,f364,f363,f368,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f1256,f1143,f1142,f1257,f1259,f1260,f1138,f1177,f1027,f1020,f1266,f1268,f1269,f1271,f1272,f1006,f1273,f1278,f1279,f1039,f961,f960,f959,f958,f957,f950,f949,f948,f947,f836,f1289,f924,f827,f1290,f824,f823,f906,f1296,f803,f697,f691,f1303,f645,f644,f1304,f634,f633,f588,f585,f18,f12,f20,f19,f14,f13,f946,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f2268,f2193,f2192,f2163,f2382,f2152,f2151,f2099,f2059,f2058,f726,f21,f1261,f1030,f1029,f15,f1194,f1147,f1146,f1168,f1255,f1167,f1320,f1315,f1357,f2459,f2539,f2540,f2534,f2561,f33,f2565,f27,f2571,f2556,f2541,f2529,f326]) ).

fof(f2430,plain,
    ( identity = sk_c4
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2424,f946]) ).

fof(f2583,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_6
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2582]) ).

fof(f2582,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_6
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f2431,f23,f17,f29,f11,f1,f2,f5,f42,f44,f3,f64,f61,f140,f143,f159,f34,f30,f28,f16,f10,f32,f31,f24,f22,f9,f6,f4,f26,f8,f7,f38,f281,f284,f285,f282,f286,f294,f280,f295,f297,f288,f303,f289,f305,f307,f292,f308,f311,f300,f313,f138,f321,f25,f291,f351,f352,f347,f361,f358,f364,f363,f368,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f1256,f1143,f1142,f1257,f1259,f1260,f1138,f1177,f1027,f1020,f1266,f1268,f1269,f1271,f1272,f1006,f1273,f1278,f1279,f1039,f961,f960,f959,f958,f957,f950,f949,f948,f947,f836,f1289,f924,f827,f1290,f824,f823,f906,f1296,f803,f697,f691,f1303,f645,f644,f1304,f634,f633,f588,f585,f18,f12,f20,f19,f14,f13,f946,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f2268,f2193,f2192,f2163,f2382,f2152,f2151,f2099,f2059,f2058,f726,f21,f1261,f1030,f1029,f15,f1194,f1147,f1146,f1168,f1255,f1167,f1320,f1315,f1357,f2459,f2539,f2540,f2534,f2561,f33,f2565,f27,f2571,f2556,f2541,f2529,f326]) ).

fof(f2431,plain,
    ( ! [X0] : multiply(X0,sk_c4) = X0
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2426,f613]) ).

fof(f2426,plain,
    ( ! [X0] : multiply(multiply(X0,identity),sk_c4) = X0
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(superposition,[],[f1524,f2403]) ).

fof(f2581,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_6
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2580]) ).

fof(f2580,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_6
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f2471,f23,f17,f29,f11,f1,f2,f5,f42,f44,f3,f64,f61,f140,f143,f159,f34,f30,f28,f16,f10,f32,f31,f24,f22,f9,f6,f4,f26,f8,f7,f38,f281,f284,f285,f282,f286,f294,f280,f295,f297,f288,f303,f289,f305,f307,f292,f308,f311,f300,f313,f138,f321,f25,f291,f351,f352,f347,f361,f358,f364,f363,f368,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f1256,f1143,f1142,f1257,f1259,f1260,f1138,f1177,f1027,f1020,f1266,f1268,f1269,f1271,f1272,f1006,f1273,f1278,f1279,f1039,f961,f960,f959,f958,f957,f950,f949,f948,f947,f836,f1289,f924,f827,f1290,f824,f823,f906,f1296,f803,f697,f691,f1303,f645,f644,f1304,f634,f633,f588,f585,f18,f12,f20,f19,f14,f13,f946,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f2268,f2193,f2192,f2163,f2382,f2152,f2151,f2099,f2059,f2058,f726,f21,f1261,f1030,f1029,f15,f1194,f1147,f1146,f1168,f1255,f1167,f1320,f1315,f1357,f2459,f2539,f2540,f2534,f2561,f33,f2565,f27,f2571,f2556,f2541,f2529,f326]) ).

fof(f2471,plain,
    ( identity = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6
    | ~ spl0_9 ),
    inference(superposition,[],[f347,f2461]) ).

fof(f2579,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | spl0_6 ),
    inference(avatar_contradiction_clause,[],[f2578]) ).

fof(f2578,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | spl0_6 ),
    inference(global_subsumption,[],[f2563,f23,f17,f29,f11,f1,f2,f5,f42,f44,f3,f64,f61,f140,f143,f159,f34,f30,f28,f16,f10,f32,f31,f24,f22,f9,f6,f4,f26,f8,f7,f38,f281,f284,f285,f282,f286,f294,f280,f295,f297,f288,f303,f289,f305,f307,f292,f308,f311,f300,f313,f138,f321,f25,f291,f351,f352,f347,f361,f358,f364,f363,f368,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f1256,f1143,f1142,f1257,f1259,f1260,f1138,f1177,f1027,f1020,f1266,f1268,f1269,f1271,f1272,f1006,f1273,f1278,f1279,f1039,f961,f960,f959,f958,f957,f950,f949,f948,f947,f836,f1289,f924,f827,f1290,f824,f823,f906,f1296,f803,f697,f691,f1303,f645,f644,f1304,f634,f633,f588,f585,f18,f12,f20,f19,f14,f13,f946,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f2268,f2193,f2192,f2163,f2382,f2152,f2151,f2099,f2059,f2058,f726,f21,f1261,f1030,f1029,f15,f1194,f1147,f1146,f1168,f1255,f1167,f1320,f1315,f1357,f2459,f2539,f2540,f2534,f2561,f33,f2565,f27,f2571,f2556,f2541,f2529,f326]) ).

fof(f2577,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | spl0_6 ),
    inference(avatar_contradiction_clause,[],[f2576]) ).

fof(f2576,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | spl0_6 ),
    inference(global_subsumption,[],[f2567,f23,f17,f29,f11,f1,f2,f5,f42,f44,f3,f64,f61,f140,f143,f159,f34,f30,f28,f16,f10,f32,f31,f24,f22,f9,f6,f4,f26,f8,f7,f38,f281,f284,f285,f282,f286,f294,f280,f295,f297,f288,f303,f289,f305,f307,f292,f308,f311,f300,f313,f138,f321,f25,f291,f351,f352,f347,f361,f358,f364,f363,f368,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f1256,f1143,f1142,f1257,f1259,f1260,f1138,f1177,f1027,f1020,f1266,f1268,f1269,f1271,f1272,f1006,f1273,f1278,f1279,f1039,f961,f960,f959,f958,f957,f950,f949,f948,f947,f836,f1289,f924,f827,f1290,f824,f823,f906,f1296,f803,f697,f691,f1303,f645,f644,f1304,f634,f633,f588,f585,f18,f12,f20,f19,f14,f13,f946,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f2268,f2193,f2192,f2163,f2382,f2152,f2151,f2099,f2059,f2058,f726,f21,f1261,f1030,f1029,f15,f1194,f1147,f1146,f1168,f1255,f1167,f1320,f1315,f1357,f2459,f2539,f2540,f2534,f2561,f33,f2565,f27,f2571,f2556,f2541,f2529,f326]) ).

fof(f2575,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_6 ),
    inference(avatar_contradiction_clause,[],[f2574]) ).

fof(f2574,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_6 ),
    inference(global_subsumption,[],[f23,f17,f29,f11,f1,f2,f5,f42,f44,f3,f64,f61,f140,f143,f159,f34,f30,f28,f16,f10,f32,f31,f24,f22,f9,f6,f4,f26,f8,f7,f38,f281,f284,f285,f282,f286,f294,f280,f295,f297,f288,f303,f289,f305,f307,f292,f308,f311,f300,f313,f138,f321,f25,f291,f351,f352,f347,f361,f358,f364,f363,f368,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f1256,f1143,f1142,f1257,f1259,f1260,f1138,f1177,f1027,f1020,f1266,f1268,f1269,f1271,f1272,f1006,f1273,f1278,f1279,f1039,f961,f960,f959,f958,f957,f950,f949,f948,f947,f836,f1289,f924,f827,f1290,f824,f823,f906,f1296,f803,f697,f691,f1303,f645,f644,f1304,f634,f633,f588,f585,f18,f12,f20,f19,f14,f13,f946,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f2268,f2193,f2192,f2163,f2382,f2152,f2151,f2099,f2059,f2058,f726,f21,f1261,f1030,f1029,f15,f1194,f1147,f1146,f1168,f1255,f1167,f1320,f1315,f1357,f2459,f2539,f2540,f2534,f2561,f33,f2565,f27,f2571,f2556,f2541,f2529,f326]) ).

fof(f2573,plain,
    ( ~ spl0_1
    | spl0_3
    | ~ spl0_4
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2572]) ).

fof(f2572,plain,
    ( $false
    | ~ spl0_1
    | spl0_3
    | ~ spl0_4
    | spl0_9 ),
    inference(global_subsumption,[],[f23,f17,f29,f11,f1,f2,f5,f3,f61,f140,f34,f30,f28,f16,f10,f32,f31,f24,f22,f9,f6,f4,f26,f8,f7,f38,f281,f284,f282,f280,f297,f289,f305,f307,f138,f321,f25,f291,f351,f352,f347,f361,f358,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f1143,f1257,f1138,f1177,f1027,f1020,f1269,f1006,f1273,f1278,f1279,f1039,f961,f960,f959,f950,f949,f948,f836,f827,f1290,f824,f823,f906,f1296,f803,f697,f691,f1303,f645,f644,f1304,f634,f633,f588,f585,f18,f12,f20,f19,f14,f13,f331,f1325,f1326,f1335,f1336,f1330,f1331,f1333,f1334,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f2192,f2163,f2381,f2151,f2103,f2058,f726,f21,f2386,f1029,f15,f2388,f1147,f2389,f1167,f1515,f1502,f2564,f33,f27,f2568,f326]) ).

fof(f2560,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_6
    | ~ spl0_7
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2559]) ).

fof(f2559,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6
    | ~ spl0_7
    | spl0_9 ),
    inference(global_subsumption,[],[f23,f17,f29,f11,f1,f2,f5,f42,f44,f3,f64,f61,f140,f143,f159,f34,f33,f30,f28,f16,f10,f32,f31,f27,f24,f22,f9,f6,f4,f26,f8,f7,f38,f281,f284,f285,f282,f286,f294,f280,f295,f297,f288,f303,f289,f305,f307,f292,f308,f311,f300,f313,f138,f321,f25,f291,f351,f352,f347,f361,f358,f364,f363,f368,f139,f561,f555,f586,f604,f151,f617,f618,f621,f622,f613,f661,f642,f667,f631,f680,f681,f611,f724,f707,f614,f768,f778,f696,f809,f840,f956,f981,f984,f979,f992,f1004,f1076,f1024,f1128,f1034,f1035,f1037,f1038,f1072,f1137,f1149,f1172,f1173,f1174,f1175,f1256,f1143,f1142,f1257,f1259,f1260,f1138,f1177,f1027,f1020,f1266,f1268,f1269,f1271,f1272,f1006,f1273,f1278,f1279,f1039,f961,f960,f959,f958,f957,f950,f949,f948,f947,f836,f1289,f924,f827,f1290,f824,f823,f906,f1296,f803,f697,f691,f1303,f645,f644,f1304,f634,f633,f588,f585,f18,f12,f20,f19,f14,f13,f946,f1166,f2079,f2082,f2083,f2084,f2085,f983,f2238,f2174,f2185,f2201,f2202,f2203,f2204,f2206,f2207,f2268,f2193,f2192,f2163,f2382,f2152,f2151,f2099,f2059,f2058,f726,f21,f1261,f1030,f1029,f15,f1194,f1147,f1146,f1168,f1255,f1167,f1320,f1315,f1357,f1362,f2391,f2397,f2402,f2396,f1515,f1502,f2459,f2536,f2539,f2540,f2534,f2542,f2543,f2550,f2554,f2558]) ).

fof(f2558,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f2557,f281]) ).

fof(f2557,plain,
    ( sk_c7 = multiply(sk_c6,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f2556,f2542]) ).

fof(f2554,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6
    | ~ spl0_7 ),
    inference(superposition,[],[f2459,f2542]) ).

fof(f2550,plain,
    ( identity != sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6
    | ~ spl0_7
    | spl0_9 ),
    inference(superposition,[],[f1515,f2542]) ).

fof(f2543,plain,
    ( identity != multiply(identity,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6
    | ~ spl0_7
    | spl0_9 ),
    inference(superposition,[],[f1502,f2542]) ).

fof(f2542,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f2541,f1362]) ).

fof(f2536,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f2529,f1362]) ).

fof(f2402,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f2395,f368]) ).

fof(f2395,plain,
    ( sk_c6 = multiply(inverse(sk_c6),sk_c7)
    | ~ spl0_7 ),
    inference(superposition,[],[f61,f1362]) ).

fof(f2397,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f2392,f368]) ).

fof(f2392,plain,
    ( sk_c6 = multiply(sk_c7,inverse(sk_c6))
    | ~ spl0_7 ),
    inference(superposition,[],[f1072,f1362]) ).

fof(f2391,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(superposition,[],[f300,f1362]) ).

fof(f2525,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_6
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2524]) ).

fof(f2524,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f2523,f2474]) ).

fof(f2523,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2513,f2]) ).

fof(f2513,plain,
    ( sk_c7 = multiply(inverse(sk_c7),sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(superposition,[],[f61,f2475]) ).

fof(f2475,plain,
    ( sk_c7 = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(superposition,[],[f1362,f2461]) ).

fof(f2520,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_6
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2519]) ).

fof(f2519,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f2518,f2474]) ).

fof(f2518,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2510,f611]) ).

fof(f2510,plain,
    ( sk_c7 = multiply(sk_c7,inverse(sk_c7))
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(superposition,[],[f1072,f2475]) ).

fof(f2517,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_6
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2516]) ).

fof(f2516,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f2515,f2474]) ).

fof(f2515,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2509,f281]) ).

fof(f2509,plain,
    ( sk_c7 = multiply(sk_c6,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(superposition,[],[f280,f2475]) ).

fof(f2371,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(avatar_contradiction_clause,[],[f2370]) ).

fof(f2370,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f2369,f946]) ).

fof(f2369,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f2368,f1358]) ).

fof(f2368,plain,
    ( identity != inverse(sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f2367,f363]) ).

fof(f2367,plain,
    ( identity != inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f2366,f1]) ).

fof(f2366,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f2308,f1358]) ).

fof(f2308,plain,
    ( identity != multiply(sk_c6,identity)
    | identity != inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f1251,f288]) ).

fof(f1251,plain,
    ( ! [X5] :
        ( identity != multiply(X5,identity)
        | identity != inverse(X5) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f1250]) ).

fof(f2365,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(avatar_contradiction_clause,[],[f2364]) ).

fof(f2364,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f2363,f946]) ).

fof(f2363,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f2362,f1376]) ).

fof(f1376,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1366,f2]) ).

fof(f1366,plain,
    ( sk_c7 = multiply(inverse(identity),identity)
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(superposition,[],[f282,f1358]) ).

fof(f2362,plain,
    ( identity != inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f2361,f368]) ).

fof(f2361,plain,
    ( identity != inverse(inverse(sk_c6))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f2360,f1376]) ).

fof(f2360,plain,
    ( identity != sk_c7
    | identity != inverse(inverse(sk_c6))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f2307,f313]) ).

fof(f2307,plain,
    ( identity != multiply(sk_c7,identity)
    | identity != inverse(inverse(sk_c6))
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(superposition,[],[f1251,f291]) ).

fof(f2359,plain,
    ~ spl0_5,
    inference(avatar_contradiction_clause,[],[f2358]) ).

fof(f2358,plain,
    ( $false
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f2357,f631]) ).

fof(f2357,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f2312,f631]) ).

fof(f2312,plain,
    ( identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_5 ),
    inference(trivial_inequality_removal,[],[f2306]) ).

fof(f2306,plain,
    ( identity != identity
    | identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_5 ),
    inference(superposition,[],[f1251,f555]) ).

fof(f2356,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f2355]) ).

fof(f2355,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f2354,f946]) ).

fof(f2354,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2353,f1905]) ).

fof(f1905,plain,
    ( identity = sk_c4
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1899,f946]) ).

fof(f1899,plain,
    ( sk_c4 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f1512,f1894]) ).

fof(f1894,plain,
    ( identity = sk_c5
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(duplicate_literal_removal,[],[f1893]) ).

fof(f1893,plain,
    ( identity = sk_c5
    | identity = sk_c5
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1892,f1376]) ).

fof(f1892,plain,
    ( sk_c7 = sk_c5
    | identity = sk_c5
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1891,f1334]) ).

fof(f1891,plain,
    ( sk_c3 = sk_c5
    | identity = sk_c5
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1890,f613]) ).

fof(f1890,plain,
    ( sk_c5 = multiply(sk_c3,identity)
    | identity = sk_c5
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1882,f1358]) ).

fof(f1882,plain,
    ( identity = sk_c5
    | multiply(sk_c3,sk_c6) = sk_c5
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1881,f1376]) ).

fof(f1881,plain,
    ( sk_c7 = sk_c5
    | multiply(sk_c3,sk_c6) = sk_c5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1880,f1]) ).

fof(f1880,plain,
    ( sk_c7 = multiply(identity,sk_c5)
    | multiply(sk_c3,sk_c6) = sk_c5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f12,f1358]) ).

fof(f2353,plain,
    ( identity != inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2352,f1512]) ).

fof(f2352,plain,
    ( identity != inverse(inverse(sk_c5))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2351,f1]) ).

fof(f2351,plain,
    ( identity != inverse(inverse(multiply(identity,sk_c5)))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f2305,f1905]) ).

fof(f2305,plain,
    ( identity != sk_c4
    | identity != inverse(inverse(multiply(identity,sk_c5)))
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(superposition,[],[f1251,f1634]) ).

fof(f2350,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f2349]) ).

fof(f2349,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f2348,f946]) ).

fof(f2348,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2347,f1894]) ).

fof(f2347,plain,
    ( identity != inverse(sk_c5)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2346,f1499]) ).

fof(f2346,plain,
    ( identity != inverse(inverse(sk_c4))
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2345,f1]) ).

fof(f2345,plain,
    ( identity != inverse(inverse(multiply(identity,sk_c4)))
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f2304,f1894]) ).

fof(f2304,plain,
    ( identity != sk_c5
    | identity != inverse(inverse(multiply(identity,sk_c4)))
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(superposition,[],[f1251,f1609]) ).

fof(f1609,plain,
    ( ! [X0] : sk_c5 = multiply(inverse(multiply(X0,sk_c4)),X0)
    | ~ spl0_8 ),
    inference(superposition,[],[f61,f1513]) ).

fof(f2344,plain,
    ~ spl0_5,
    inference(avatar_contradiction_clause,[],[f2343]) ).

fof(f2343,plain,
    ( $false
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f2313,f631]) ).

fof(f2313,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_5 ),
    inference(trivial_inequality_removal,[],[f2303]) ).

fof(f2303,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_5 ),
    inference(superposition,[],[f1251,f138]) ).

fof(f2342,plain,
    ~ spl0_5,
    inference(avatar_contradiction_clause,[],[f2341]) ).

fof(f2341,plain,
    ( $false
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f2314,f631]) ).

fof(f2314,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_5 ),
    inference(trivial_inequality_removal,[],[f2302]) ).

fof(f2302,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_5 ),
    inference(superposition,[],[f1251,f2]) ).

fof(f2340,plain,
    ( ~ spl0_2
    | ~ spl0_5 ),
    inference(avatar_contradiction_clause,[],[f2339]) ).

fof(f2339,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f2315,f946]) ).

fof(f2315,plain,
    ( identity != inverse(identity)
    | ~ spl0_5 ),
    inference(trivial_inequality_removal,[],[f2301]) ).

fof(f2301,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl0_5 ),
    inference(superposition,[],[f1251,f1]) ).

fof(f2338,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(avatar_contradiction_clause,[],[f2337]) ).

fof(f2337,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f2336,f946]) ).

fof(f2336,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f2335,f1358]) ).

fof(f2335,plain,
    ( identity != inverse(sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f2300,f1377]) ).

fof(f1377,plain,
    ( identity = sk_c2
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1367,f1]) ).

fof(f1367,plain,
    ( sk_c2 = multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(superposition,[],[f285,f1358]) ).

fof(f2300,plain,
    ( identity != sk_c2
    | identity != inverse(sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f1251,f285]) ).

fof(f2334,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(avatar_contradiction_clause,[],[f2333]) ).

fof(f2333,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f2332,f946]) ).

fof(f2332,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f2331,f1358]) ).

fof(f2331,plain,
    ( identity != inverse(sk_c6)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f2299,f1358]) ).

fof(f2299,plain,
    ( identity != sk_c6
    | identity != inverse(sk_c6)
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(superposition,[],[f1251,f358]) ).

fof(f2330,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(avatar_contradiction_clause,[],[f2329]) ).

fof(f2329,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f2328,f946]) ).

fof(f2328,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f2327,f1376]) ).

fof(f2327,plain,
    ( identity != inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f2298,f1376]) ).

fof(f2298,plain,
    ( identity != sk_c7
    | identity != inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f1251,f313]) ).

fof(f2325,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(avatar_contradiction_clause,[],[f2324]) ).

fof(f2324,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f2323,f946]) ).

fof(f2323,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f2322,f1358]) ).

fof(f2322,plain,
    ( identity != inverse(sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f2321,f631]) ).

fof(f2321,plain,
    ( identity != inverse(inverse(inverse(sk_c6)))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f2296,f1377]) ).

fof(f2296,plain,
    ( identity != sk_c2
    | identity != inverse(inverse(inverse(sk_c6)))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f1251,f292]) ).

fof(f2320,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(avatar_contradiction_clause,[],[f2319]) ).

fof(f2319,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f2318,f946]) ).

fof(f2318,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f2317,f1376]) ).

fof(f2317,plain,
    ( identity != inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f2316,f368]) ).

fof(f2316,plain,
    ( identity != inverse(inverse(sk_c6))
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f2295,f1376]) ).

fof(f2295,plain,
    ( identity != sk_c7
    | identity != inverse(inverse(sk_c6))
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(superposition,[],[f1251,f282]) ).

fof(f2293,plain,
    ( spl0_5
    | spl0_5
    | spl0_5
    | spl0_5
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f2055,f1356,f329,f40,f36,f1250,f1250,f1250,f1250]) ).

fof(f2055,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(X3,identity)
        | identity != multiply(X4,identity)
        | identity != multiply(X6,identity)
        | identity != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f2054,f1376]) ).

fof(f2054,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != multiply(X3,identity)
        | identity != multiply(X4,identity)
        | identity != multiply(X6,identity)
        | identity != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f2053,f1358]) ).

fof(f2053,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(X4,identity)
        | identity != multiply(X6,identity)
        | identity != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f2052,f1376]) ).

fof(f2052,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != sk_c7
        | identity != multiply(X4,identity)
        | identity != multiply(X6,identity)
        | identity != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f2051,f1]) ).

fof(f2051,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != multiply(identity,identity)
        | identity != multiply(X4,identity)
        | identity != multiply(X6,identity)
        | identity != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f2050,f1358]) ).

fof(f2050,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != multiply(sk_c6,identity)
        | identity != multiply(X4,identity)
        | identity != multiply(X6,identity)
        | identity != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f2049,f1894]) ).

fof(f2049,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(X4,identity)
        | identity != multiply(X6,identity)
        | identity != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c7 != multiply(sk_c6,sk_c5)
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f2048,f1358]) ).

fof(f2048,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c6 != multiply(X4,identity)
        | identity != multiply(X6,identity)
        | identity != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c7 != multiply(sk_c6,sk_c5)
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f2047,f1376]) ).

fof(f2047,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(X6,identity)
        | identity != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c7 != multiply(sk_c6,sk_c5)
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f2046,f1376]) ).

fof(f2046,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != sk_c7
        | identity != multiply(X6,identity)
        | identity != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c7 != multiply(sk_c6,sk_c5)
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f2045,f1358]) ).

fof(f2045,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != sk_c6
        | identity != multiply(X6,identity)
        | identity != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c7 != multiply(sk_c6,sk_c5)
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f2044,f313]) ).

fof(f2044,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c6 != multiply(sk_c7,identity)
        | identity != multiply(X6,identity)
        | identity != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c7 != multiply(sk_c6,sk_c5)
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f2043,f1894]) ).

fof(f2043,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(X6,identity)
        | identity != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c7 != multiply(sk_c6,sk_c5)
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f2042,f1894]) ).

fof(f2042,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c5 != multiply(X6,identity)
        | identity != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c7 != multiply(sk_c6,sk_c5)
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f2041,f1376]) ).

fof(f2041,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c5 != multiply(X6,sk_c7)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c7 != multiply(sk_c6,sk_c5)
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f2040,f1894]) ).

fof(f2040,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c5 != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c5 != multiply(X6,sk_c7)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c7 != multiply(sk_c6,sk_c5)
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f2039,f1358]) ).

fof(f2039,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c5 != multiply(X5,sk_c6)
        | sk_c5 != multiply(X6,sk_c7)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c7 != multiply(sk_c6,sk_c5)
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f2038,f1376]) ).

fof(f2038,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c7 != inverse(X4)
        | sk_c5 != multiply(X5,sk_c6)
        | sk_c5 != multiply(X6,sk_c7)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c7 != multiply(sk_c6,sk_c5)
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f2037,f1376]) ).

fof(f2037,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c5 != multiply(X5,sk_c6)
        | sk_c5 != multiply(X6,sk_c7)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c7 != multiply(sk_c6,sk_c5)
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f2036,f1358]) ).

fof(f2036,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != inverse(X6)
        | sk_c6 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c5 != multiply(X5,sk_c6)
        | sk_c5 != multiply(X6,sk_c7)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c7 != multiply(sk_c6,sk_c5)
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f726,f1894]) ).

fof(f1889,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_6
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1888]) ).

fof(f1888,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_6
    | spl0_9 ),
    inference(subsumption_resolution,[],[f1887,f1515]) ).

fof(f1887,plain,
    ( identity = sk_c5
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_6
    | spl0_9 ),
    inference(forward_demodulation,[],[f1886,f1376]) ).

fof(f1886,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_6
    | spl0_9 ),
    inference(forward_demodulation,[],[f1885,f1334]) ).

fof(f1885,plain,
    ( sk_c3 = sk_c5
    | ~ spl0_1
    | ~ spl0_6
    | spl0_9 ),
    inference(forward_demodulation,[],[f1884,f613]) ).

fof(f1884,plain,
    ( sk_c5 = multiply(sk_c3,identity)
    | ~ spl0_1
    | ~ spl0_6
    | spl0_9 ),
    inference(forward_demodulation,[],[f1883,f1358]) ).

fof(f1883,plain,
    ( multiply(sk_c3,sk_c6) = sk_c5
    | ~ spl0_1
    | ~ spl0_6
    | spl0_9 ),
    inference(subsumption_resolution,[],[f1882,f1515]) ).

fof(f1504,plain,
    ( spl0_8
    | spl0_9
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f1459,f1356,f36,f1501,f1497]) ).

fof(f1459,plain,
    ( identity = multiply(identity,sk_c5)
    | sk_c5 = inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1458,f1376]) ).

fof(f1458,plain,
    ( sk_c7 = multiply(identity,sk_c5)
    | sk_c5 = inverse(sk_c4)
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f14,f1358]) ).

fof(f1428,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1427]) ).

fof(f1427,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_6
    | spl0_7 ),
    inference(subsumption_resolution,[],[f1426,f1376]) ).

fof(f1426,plain,
    ( identity != sk_c7
    | ~ spl0_6
    | spl0_7 ),
    inference(forward_demodulation,[],[f1425,f1]) ).

fof(f1425,plain,
    ( sk_c7 != multiply(identity,identity)
    | ~ spl0_6
    | spl0_7 ),
    inference(forward_demodulation,[],[f1361,f1358]) ).

fof(f1363,plain,
    ( spl0_6
    | spl0_7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f1313,f325,f40,f36,f1360,f1356]) ).

fof(f1313,plain,
    ( sk_c7 = multiply(sk_c6,sk_c6)
    | identity = sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f1312,f363]) ).

fof(f1312,plain,
    ( sk_c7 = multiply(sk_c2,sk_c6)
    | identity = sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f564,f340]) ).

fof(f340,plain,
    ( sk_c2 = sk_c1
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f339,f285]) ).

fof(f339,plain,
    ( sk_c1 = multiply(sk_c6,identity)
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f336,f38]) ).

fof(f336,plain,
    ( sk_c1 = multiply(inverse(sk_c7),identity)
    | ~ spl0_3 ),
    inference(superposition,[],[f61,f334]) ).

fof(f1252,plain,
    ( spl0_5
    | spl0_5
    | spl0_5
    | spl0_5
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f743,f329,f325,f40,f36,f1250,f1250,f1250,f1250]) ).

fof(f743,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(X3,identity)
        | identity != multiply(X4,identity)
        | identity != multiply(X6,identity)
        | identity != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f742,f414]) ).

fof(f414,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f413,f281]) ).

fof(f413,plain,
    ( sk_c7 = multiply(sk_c6,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(superposition,[],[f385,f406]) ).

fof(f406,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(superposition,[],[f405,f398]) ).

fof(f398,plain,
    ( sk_c5 = multiply(sk_c6,sk_c6)
    | ~ spl0_1
    | spl0_4 ),
    inference(forward_demodulation,[],[f396,f38]) ).

fof(f396,plain,
    ( sk_c5 = multiply(inverse(sk_c7),sk_c6)
    | spl0_4 ),
    inference(superposition,[],[f61,f394]) ).

fof(f394,plain,
    ( sk_c6 = multiply(sk_c7,sk_c5)
    | spl0_4 ),
    inference(subsumption_resolution,[],[f19,f330]) ).

fof(f330,plain,
    ( sk_c6 != inverse(sk_c3)
    | spl0_4 ),
    inference(avatar_component_clause,[],[f329]) ).

fof(f405,plain,
    ( sk_c7 = multiply(sk_c6,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f404,f363]) ).

fof(f404,plain,
    ( sk_c7 = multiply(sk_c2,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f403,f340]) ).

fof(f403,plain,
    ( sk_c7 = multiply(sk_c1,sk_c6)
    | spl0_4 ),
    inference(subsumption_resolution,[],[f31,f330]) ).

fof(f385,plain,
    ( sk_c7 = multiply(sk_c6,sk_c5)
    | spl0_4 ),
    inference(subsumption_resolution,[],[f13,f330]) ).

fof(f742,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != multiply(X3,identity)
        | identity != multiply(X4,identity)
        | identity != multiply(X6,identity)
        | identity != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f741,f437]) ).

fof(f437,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f436,f414]) ).

fof(f436,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f435,f1]) ).

fof(f435,plain,
    ( sk_c6 = multiply(identity,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f426,f406]) ).

fof(f426,plain,
    ( sk_c6 = multiply(identity,sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(superposition,[],[f394,f414]) ).

fof(f741,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(X4,identity)
        | identity != multiply(X6,identity)
        | identity != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f740,f437]) ).

fof(f740,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c6 != multiply(X4,identity)
        | identity != multiply(X6,identity)
        | identity != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f739,f414]) ).

fof(f739,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(X6,identity)
        | identity != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f738,f414]) ).

fof(f738,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != multiply(X6,identity)
        | identity != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f737,f406]) ).

fof(f737,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c5 != multiply(X6,identity)
        | identity != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f736,f414]) ).

fof(f736,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c5 != multiply(X6,sk_c7)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f735,f414]) ).

fof(f735,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c5 != multiply(X6,sk_c7)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f734,f406]) ).

fof(f734,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c5 != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c5 != multiply(X6,sk_c7)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f733,f437]) ).

fof(f733,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c5 != multiply(X5,sk_c6)
        | sk_c5 != multiply(X6,sk_c7)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f732,f414]) ).

fof(f732,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c7 != inverse(X4)
        | sk_c5 != multiply(X5,sk_c6)
        | sk_c5 != multiply(X6,sk_c7)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f731,f414]) ).

fof(f731,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c5 != multiply(X5,sk_c6)
        | sk_c5 != multiply(X6,sk_c7)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f730,f437]) ).

fof(f730,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != inverse(X6)
        | sk_c6 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c5 != multiply(X5,sk_c6)
        | sk_c5 != multiply(X6,sk_c7)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f729,f414]) ).

fof(f729,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != inverse(X6)
        | sk_c6 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c5 != multiply(X5,sk_c6)
        | sk_c5 != multiply(X6,sk_c7)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f728,f406]) ).

fof(f728,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c5 != inverse(X6)
        | sk_c6 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c5 != multiply(X5,sk_c6)
        | sk_c5 != multiply(X6,sk_c7)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_1
    | spl0_4 ),
    inference(subsumption_resolution,[],[f727,f385]) ).

fof(f727,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c5 != inverse(X6)
        | sk_c6 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c5 != multiply(X5,sk_c6)
        | sk_c5 != multiply(X6,sk_c7)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c7 != multiply(sk_c6,sk_c5)
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_1
    | spl0_4 ),
    inference(subsumption_resolution,[],[f726,f394]) ).

fof(f332,plain,
    ( spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f25,f329,f325]) ).

fof(f268,plain,
    ( spl0_1
    | ~ spl0_2 ),
    inference(avatar_contradiction_clause,[],[f267]) ).

fof(f267,plain,
    ( $false
    | spl0_1
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f266,f231]) ).

fof(f231,plain,
    ( identity != inverse(identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f222,f183]) ).

fof(f183,plain,
    ( identity = sk_c6
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f154,f2]) ).

fof(f154,plain,
    ( sk_c6 = multiply(inverse(sk_c7),sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f61,f67]) ).

fof(f67,plain,
    ( sk_c7 = multiply(sk_c7,sk_c6)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f64,f49]) ).

fof(f49,plain,
    ( sk_c6 = multiply(sk_c2,sk_c7)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f4,f37]) ).

fof(f37,plain,
    ( inverse(sk_c7) != sk_c6
    | spl0_1 ),
    inference(avatar_component_clause,[],[f36]) ).

fof(f222,plain,
    ( sk_c6 != inverse(identity)
    | spl0_1 ),
    inference(superposition,[],[f37,f191]) ).

fof(f191,plain,
    ( identity = sk_c7
    | spl0_1 ),
    inference(forward_demodulation,[],[f190,f2]) ).

fof(f190,plain,
    ( sk_c7 = multiply(inverse(sk_c7),sk_c7)
    | spl0_1 ),
    inference(forward_demodulation,[],[f162,f124]) ).

fof(f124,plain,
    ( sk_c7 = sk_c5
    | spl0_1 ),
    inference(superposition,[],[f121,f50]) ).

fof(f50,plain,
    ( multiply(sk_c3,sk_c6) = sk_c5
    | spl0_1 ),
    inference(subsumption_resolution,[],[f6,f37]) ).

fof(f121,plain,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | spl0_1 ),
    inference(forward_demodulation,[],[f117,f75]) ).

fof(f75,plain,
    ( sk_c7 = multiply(sk_c5,sk_c5)
    | spl0_1 ),
    inference(superposition,[],[f66,f51]) ).

fof(f51,plain,
    ( sk_c5 = multiply(sk_c4,sk_c7)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f9,f37]) ).

fof(f66,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c4,X0)) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f60,f1]) ).

fof(f60,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c4,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f48]) ).

fof(f48,plain,
    ( identity = multiply(sk_c5,sk_c4)
    | spl0_1 ),
    inference(superposition,[],[f2,f47]) ).

fof(f47,plain,
    ( sk_c5 = inverse(sk_c4)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f8,f37]) ).

fof(f117,plain,
    ( multiply(sk_c3,sk_c6) = multiply(sk_c5,sk_c5)
    | spl0_1 ),
    inference(superposition,[],[f57,f71]) ).

fof(f71,plain,
    ( sk_c6 = multiply(sk_c6,sk_c5)
    | spl0_1 ),
    inference(superposition,[],[f65,f50]) ).

fof(f65,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c3,X0)) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f59,f1]) ).

fof(f59,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c3,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f46]) ).

fof(f46,plain,
    ( identity = multiply(sk_c6,sk_c3)
    | spl0_1 ),
    inference(superposition,[],[f2,f45]) ).

fof(f45,plain,
    ( sk_c6 = inverse(sk_c3)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f7,f37]) ).

fof(f57,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c3,multiply(sk_c6,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f50]) ).

fof(f162,plain,
    ( sk_c5 = multiply(inverse(sk_c5),sk_c7)
    | spl0_1 ),
    inference(superposition,[],[f61,f75]) ).

fof(f266,plain,
    ( identity = inverse(identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f259,f183]) ).

fof(f259,plain,
    ( sk_c6 = inverse(identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f45,f253]) ).

fof(f253,plain,
    ( identity = sk_c3
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f194,f1]) ).

fof(f194,plain,
    ( identity = multiply(identity,sk_c3)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f46,f183]) ).

fof(f43,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f5,f40,f36]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : GRP387-1 : TPTP v8.1.2. Released v2.5.0.
% 0.10/0.11  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.32  % Computer : n003.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit   : 300
% 0.10/0.32  % WCLimit    : 300
% 0.10/0.32  % DateTime   : Fri May  3 20:51:08 EDT 2024
% 0.10/0.32  % CPUTime    : 
% 0.10/0.32  % (24192)Running in auto input_syntax mode. Trying TPTP
% 0.10/0.34  % (24195)WARNING: value z3 for option sas not known
% 0.10/0.34  % (24198)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)
% 0.10/0.34  % (24193)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.10/0.34  % (24197)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)
% 0.10/0.34  % (24195)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)
% 0.10/0.34  % (24196)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.10/0.34  % (24199)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)
% 0.10/0.34  % (24194)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.10/0.34  TRYING [1]
% 0.10/0.34  TRYING [2]
% 0.10/0.34  TRYING [1]
% 0.10/0.34  TRYING [2]
% 0.10/0.34  TRYING [3]
% 0.10/0.35  TRYING [3]
% 0.10/0.35  TRYING [4]
% 0.10/0.36  TRYING [4]
% 0.10/0.36  TRYING [5]
% 0.10/0.40  TRYING [6]
% 0.16/0.41  % (24195)First to succeed.
% 0.16/0.43  TRYING [5]
% 0.16/0.43  % (24195)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-24192"
% 0.16/0.43  % (24195)Refutation found. Thanks to Tanya!
% 0.16/0.43  % SZS status Unsatisfiable for theBenchmark
% 0.16/0.43  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.44  % (24195)------------------------------
% 0.16/0.44  % (24195)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.44  % (24195)Termination reason: Refutation
% 0.16/0.44  
% 0.16/0.44  % (24195)Memory used [KB]: 1978
% 0.16/0.44  % (24195)Time elapsed: 0.095 s
% 0.16/0.44  % (24195)Instructions burned: 194 (million)
% 0.16/0.44  % (24192)Success in time 0.114 s
%------------------------------------------------------------------------------