TSTP Solution File: GRP365-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GRP365-1 : 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 : n008.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 : Tue Apr 30 12:04:01 EDT 2024

% Result   : Unsatisfiable 0.21s 0.48s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
fof(f3299,plain,
    $false,
    inference(avatar_sat_refutation,[],[f44,f156,f170,f509,f643,f796,f828,f1183,f1203,f1234,f1760,f1918,f1940,f1946,f2118,f2122,f2167,f2173,f2178,f2183,f2187,f2191,f2195,f2199,f2203,f2205,f2207,f2210,f2216,f2222,f2248,f2254,f2263,f2265,f2267,f2269,f2271,f2273,f2275,f2277,f2279,f2281,f2283,f2285,f2287,f2289,f2291,f2294,f2297,f2299,f2302,f2305,f2307,f2309,f2311,f2313,f2315,f2317,f2319,f2321,f2323,f2325,f2327,f2329,f2331,f2333,f2335,f2338,f2340,f2342,f2344,f2346,f2348,f2350,f2353,f2355,f2357,f2359,f2361,f2363,f2366,f2368,f2370,f2372,f2374,f2376,f2378,f2380,f2382,f2384,f2386,f2388,f2390,f2392,f2394,f2396,f2398,f2400,f2402,f2404,f2406,f2408,f2410,f2412,f2414,f2416,f2418,f2420,f2422,f2424,f2426,f2428,f2430,f2432,f2434,f2436,f2438,f2440,f2442,f2444,f2446,f2448,f2450,f2452,f2454,f2456,f2458,f2460,f2462,f2464,f2466,f2468,f2470,f2472,f2475,f2477,f2479,f2481,f2483,f2580,f2597,f2599,f2601,f2603,f2605,f2608,f2610,f2612,f2675,f2677,f2679,f2681,f2686,f2694,f2699,f2705,f2707,f2709,f2711,f2713,f2715,f2717,f2719,f2722,f2725,f2727,f2729,f2731,f2733,f2735,f2737,f2739,f2742,f2744,f2746,f2748,f2750,f2752,f2754,f2756,f2758,f2760,f2764,f2768,f2770,f2772,f2774,f2776,f2778,f2780,f2782,f2784,f2786,f2788,f2790,f2792,f2794,f2796,f2798,f2801,f2803,f2806,f2808,f2810,f2812,f2814,f2816,f2922,f3080,f3084,f3102,f3227,f3286,f3292,f3298]) ).

fof(f3298,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3297]) ).

fof(f3297,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_9 ),
    inference(global_subsumption,[],[f3296,f1,f2,f21,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f26,f16,f11,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f10,f15,f4,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f35,f17,f18,f12,f13,f9,f14,f19,f822,f7,f8,f29,f24,f23,f20,f38,f32,f27,f3086,f28,f3087,f3088,f3089,f3091,f25,f3093,f5,f22,f30,f75,f46]) ).

fof(f46,plain,
    ( sk_c6 = inverse(sk_c3)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f31,f38]) ).

fof(f75,plain,
    ( sk_c6 = sk_c7
    | spl0_1 ),
    inference(superposition,[],[f72,f48]) ).

fof(f30,axiom,
    ( sk_c6 = inverse(sk_c3)
    | sk_c7 = multiply(sk_c4,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).

fof(f22,axiom,
    ( sk_c8 = inverse(sk_c1)
    | sk_c6 = multiply(sk_c5,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).

fof(f5,axiom,
    ( sk_c7 = multiply(sk_c4,sk_c8)
    | multiply(sk_c6,sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).

fof(f3093,plain,
    ( sk_c8 = multiply(sk_c3,sk_c6)
    | spl0_1 ),
    inference(global_subsumption,[],[f1,f2,f21,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f26,f16,f11,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f30,f5,f10,f15,f4,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f35,f22,f17,f18,f12,f13,f9,f14,f19,f7,f8,f29,f24,f23,f20,f38,f46,f75,f32,f27,f3086,f28,f3087,f3088,f3089,f3091,f25]) ).

fof(f25,axiom,
    ( sk_c7 = multiply(sk_c4,sk_c8)
    | sk_c8 = multiply(sk_c3,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).

fof(f3091,plain,
    ( sk_c8 = multiply(sk_c3,sk_c6)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f26,f38]) ).

fof(f3089,plain,
    ( multiply(sk_c6,sk_c8) = sk_c7
    | spl0_1 ),
    inference(subsumption_resolution,[],[f6,f38]) ).

fof(f3088,plain,
    ( sk_c6 = inverse(sk_c3)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f31,f38]) ).

fof(f3087,plain,
    ( sk_c8 = multiply(sk_c3,sk_c6)
    | spl0_1 ),
    inference(global_subsumption,[],[f1,f2,f21,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f26,f16,f11,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f30,f5,f10,f15,f25,f4,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f35,f22,f17,f18,f12,f13,f9,f14,f19,f7,f8,f29,f24,f23,f20,f38,f46,f75,f32,f27,f3086,f28]) ).

fof(f28,axiom,
    ( sk_c8 = inverse(sk_c5)
    | sk_c8 = multiply(sk_c3,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).

fof(f3086,plain,
    ( sk_c8 = multiply(sk_c3,sk_c6)
    | spl0_1 ),
    inference(global_subsumption,[],[f1,f2,f21,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f26,f16,f11,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f30,f5,f10,f15,f25,f4,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f35,f22,f17,f18,f12,f13,f9,f14,f19,f7,f8,f29,f24,f28,f23,f20,f38,f46,f75,f32,f27]) ).

fof(f27,axiom,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | sk_c8 = multiply(sk_c3,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).

fof(f32,axiom,
    ( sk_c6 = inverse(sk_c3)
    | sk_c6 = multiply(sk_c5,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).

fof(f38,plain,
    ( sk_c8 != inverse(sk_c4)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f37]) ).

fof(f37,plain,
    ( spl0_1
  <=> sk_c8 = inverse(sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f20,axiom,
    ( sk_c8 = inverse(sk_c1)
    | sk_c7 = multiply(sk_c4,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).

fof(f23,axiom,
    ( sk_c8 = inverse(sk_c1)
    | sk_c8 = inverse(sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).

fof(f24,axiom,
    ( sk_c6 = multiply(sk_c8,sk_c7)
    | sk_c8 = multiply(sk_c3,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).

fof(f29,axiom,
    ( sk_c6 = inverse(sk_c3)
    | sk_c6 = multiply(sk_c8,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).

fof(f8,axiom,
    ( sk_c8 = inverse(sk_c5)
    | multiply(sk_c6,sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).

fof(f7,axiom,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | multiply(sk_c6,sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).

fof(f822,plain,
    ( multiply(sk_c6,sk_c8) != sk_c7
    | spl0_9 ),
    inference(avatar_component_clause,[],[f821]) ).

fof(f821,plain,
    ( spl0_9
  <=> multiply(sk_c6,sk_c8) = sk_c7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f19,axiom,
    ( sk_c8 = inverse(sk_c1)
    | sk_c6 = multiply(sk_c8,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).

fof(f14,axiom,
    ( sk_c2 = multiply(sk_c1,sk_c8)
    | sk_c6 = multiply(sk_c8,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).

fof(f9,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c2)
    | sk_c6 = multiply(sk_c8,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).

fof(f13,axiom,
    ( sk_c8 = inverse(sk_c5)
    | sk_c7 = multiply(sk_c8,sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).

fof(f12,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c2)
    | sk_c6 = multiply(sk_c5,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).

fof(f18,axiom,
    ( sk_c8 = inverse(sk_c5)
    | sk_c2 = multiply(sk_c1,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).

fof(f17,axiom,
    ( sk_c2 = multiply(sk_c1,sk_c8)
    | sk_c6 = multiply(sk_c5,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).

fof(f35,plain,
    ! [X6,X7,X4,X5] :
      ( sk_c6 != inverse(X5)
      | sk_c8 != inverse(X7)
      | sk_c8 != inverse(X6)
      | sk_c8 != inverse(X4)
      | sk_c7 != multiply(X6,sk_c8)
      | sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
      | sk_c6 != multiply(sk_c8,sk_c7)
      | sk_c6 != multiply(X7,sk_c8)
      | sk_c8 != multiply(X5,sk_c6)
      | multiply(sk_c6,sk_c8) != sk_c7 ),
    inference(equality_resolution,[],[f34]) ).

fof(f34,axiom,
    ! [X3,X6,X7,X4,X5] :
      ( sk_c6 != inverse(X5)
      | sk_c8 != inverse(X7)
      | sk_c8 != inverse(X6)
      | sk_c8 != inverse(X4)
      | sk_c7 != multiply(X6,sk_c8)
      | sk_c7 != multiply(sk_c8,X3)
      | sk_c6 != multiply(sk_c8,sk_c7)
      | sk_c6 != multiply(X7,sk_c8)
      | sk_c8 != multiply(X5,sk_c6)
      | multiply(sk_c6,sk_c8) != sk_c7
      | multiply(X4,sk_c8) != X3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).

fof(f1725,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
    inference(superposition,[],[f3,f1535]) ).

fof(f1713,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
    inference(superposition,[],[f1535,f3]) ).

fof(f1535,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f332,f61]) ).

fof(f1659,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
    inference(superposition,[],[f3,f1531]) ).

fof(f1678,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(forward_demodulation,[],[f1657,f1]) ).

fof(f1657,plain,
    ! [X0,X1] : multiply(identity,X1) = multiply(X0,multiply(inverse(X0),X1)),
    inference(superposition,[],[f3,f1531]) ).

fof(f1646,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
    inference(superposition,[],[f1531,f3]) ).

fof(f1531,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f332,f2]) ).

fof(f1631,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f2,f1559]) ).

fof(f1630,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f61,f1559]) ).

fof(f1559,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(superposition,[],[f1532,f321]) ).

fof(f1607,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(forward_demodulation,[],[f1587,f1532]) ).

fof(f1587,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,identity),
    inference(superposition,[],[f332,f1532]) ).

fof(f1570,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(superposition,[],[f321,f1532]) ).

fof(f1597,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(forward_demodulation,[],[f1568,f1532]) ).

fof(f1568,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,identity),
    inference(superposition,[],[f1532,f332]) ).

fof(f1532,plain,
    ! [X0] : multiply(X0,identity) = X0,
    inference(superposition,[],[f332,f321]) ).

fof(f1548,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f61,f332]) ).

fof(f1545,plain,
    ! [X0] : multiply(X0,identity) = X0,
    inference(superposition,[],[f321,f332]) ).

fof(f1543,plain,
    ! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
    inference(superposition,[],[f61,f332]) ).

fof(f1542,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f2,f332]) ).

fof(f332,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
    inference(superposition,[],[f61,f61]) ).

fof(f4,axiom,
    ( sk_c6 = multiply(sk_c8,sk_c7)
    | multiply(sk_c6,sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).

fof(f15,axiom,
    ( sk_c2 = multiply(sk_c1,sk_c8)
    | sk_c7 = multiply(sk_c4,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).

fof(f10,axiom,
    ( sk_c7 = multiply(sk_c4,sk_c8)
    | sk_c7 = multiply(sk_c8,sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).

fof(f481,plain,
    identity = inverse(identity),
    inference(superposition,[],[f464,f321]) ).

fof(f484,plain,
    identity = inverse(identity),
    inference(superposition,[],[f321,f464]) ).

fof(f495,plain,
    ! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f483,f1]) ).

fof(f483,plain,
    ! [X0,X1] : multiply(identity,X1) = multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)),
    inference(superposition,[],[f3,f464]) ).

fof(f482,plain,
    ! [X0] : multiply(inverse(inverse(inverse(inverse(X0)))),identity) = X0,
    inference(superposition,[],[f61,f464]) ).

fof(f464,plain,
    ! [X0] : identity = multiply(inverse(inverse(inverse(X0))),X0),
    inference(superposition,[],[f61,f321]) ).

fof(f476,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
    inference(forward_demodulation,[],[f465,f1]) ).

fof(f465,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),multiply(identity,X1)),
    inference(superposition,[],[f3,f321]) ).

fof(f321,plain,
    ! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[],[f61,f2]) ).

fof(f324,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
    inference(superposition,[],[f61,f3]) ).

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(f33,axiom,
    ( sk_c6 = inverse(sk_c3)
    | sk_c8 = inverse(sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).

fof(f31,axiom,
    ( sk_c6 = inverse(sk_c3)
    | sk_c8 = inverse(sk_c4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).

fof(f6,axiom,
    ( sk_c8 = inverse(sk_c4)
    | multiply(sk_c6,sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).

fof(f11,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c7 = multiply(sk_c8,sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).

fof(f16,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c2 = multiply(sk_c1,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).

fof(f26,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c8 = multiply(sk_c3,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).

fof(f77,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c6,multiply(sk_c8,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f72]) ).

fof(f76,plain,
    ( sk_c6 = sk_c7
    | spl0_1 ),
    inference(superposition,[],[f48,f72]) ).

fof(f72,plain,
    ( sk_c6 = multiply(sk_c6,sk_c8)
    | spl0_1 ),
    inference(superposition,[],[f65,f51]) ).

fof(f65,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c3,X0)) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f60,f1]) ).

fof(f60,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c3,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f47]) ).

fof(f58,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c2,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f49]) ).

fof(f57,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c8,X0)) = multiply(sk_c2,X0)
    | spl0_1 ),
    inference(superposition,[],[f3,f50]) ).

fof(f56,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c8,X0)) = multiply(sk_c7,X0)
    | spl0_1 ),
    inference(superposition,[],[f3,f48]) ).

fof(f55,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c6,X0)) = multiply(sk_c8,X0)
    | spl0_1 ),
    inference(superposition,[],[f3,f51]) ).

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

fof(f51,plain,
    ( sk_c8 = multiply(sk_c3,sk_c6)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f26,f38]) ).

fof(f50,plain,
    ( sk_c2 = multiply(sk_c1,sk_c8)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f16,f38]) ).

fof(f49,plain,
    ( sk_c7 = multiply(sk_c8,sk_c2)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f11,f38]) ).

fof(f48,plain,
    ( multiply(sk_c6,sk_c8) = sk_c7
    | spl0_1 ),
    inference(subsumption_resolution,[],[f6,f38]) ).

fof(f47,plain,
    ( identity = multiply(sk_c6,sk_c3)
    | spl0_1 ),
    inference(superposition,[],[f2,f46]) ).

fof(f21,axiom,
    ( sk_c8 = inverse(sk_c1)
    | sk_c8 = inverse(sk_c4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).

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

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

fof(f3296,plain,
    ( sk_c6 != multiply(sk_c6,sk_c6)
    | spl0_1
    | ~ spl0_2
    | spl0_9 ),
    inference(forward_demodulation,[],[f3295,f78]) ).

fof(f78,plain,
    ( sk_c6 = sk_c8
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f75,f69]) ).

fof(f69,plain,
    ( sk_c8 = sk_c7
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f66,f49]) ).

fof(f66,plain,
    ( sk_c8 = multiply(sk_c8,sk_c2)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f64,f50]) ).

fof(f64,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f59,f1]) ).

fof(f59,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c1,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f45]) ).

fof(f45,plain,
    ( identity = multiply(sk_c8,sk_c1)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f43]) ).

fof(f43,plain,
    ( sk_c8 = inverse(sk_c1)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f41]) ).

fof(f41,plain,
    ( spl0_2
  <=> sk_c8 = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f3295,plain,
    ( sk_c6 != multiply(sk_c6,sk_c8)
    | spl0_1
    | spl0_9 ),
    inference(forward_demodulation,[],[f822,f75]) ).

fof(f3292,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3291]) ).

fof(f3291,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_9 ),
    inference(global_subsumption,[],[f3290,f1,f2,f21,f47,f48,f49,f50,f51,f3,f55,f56,f57,f58,f65,f72,f76,f77,f26,f16,f11,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f10,f15,f4,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f35,f17,f18,f12,f13,f9,f14,f19,f822,f7,f8,f29,f24,f23,f20,f38,f32,f27,f3086,f28,f3087,f3088,f3089,f3091,f25,f3093,f5,f22,f30,f75,f46]) ).

fof(f3290,plain,
    ( sk_c6 = multiply(sk_c6,sk_c6)
    | sk_c6 = multiply(sk_c4,sk_c6)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f3289,f78]) ).

fof(f3289,plain,
    ( sk_c6 = multiply(sk_c6,sk_c8)
    | sk_c6 = multiply(sk_c4,sk_c6)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f3288,f75]) ).

fof(f3288,plain,
    ( sk_c6 = multiply(sk_c4,sk_c6)
    | multiply(sk_c6,sk_c8) = sk_c7
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f3287,f75]) ).

fof(f3287,plain,
    ( sk_c7 = multiply(sk_c4,sk_c6)
    | multiply(sk_c6,sk_c8) = sk_c7
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f5,f78]) ).

fof(f3286,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3285]) ).

fof(f3285,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_12 ),
    inference(subsumption_resolution,[],[f3284,f1232]) ).

fof(f1232,plain,
    ( identity != sk_c6
    | spl0_12 ),
    inference(avatar_component_clause,[],[f1231]) ).

fof(f1231,plain,
    ( spl0_12
  <=> identity = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f3284,plain,
    ( identity = sk_c6
    | spl0_1
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3282,f2]) ).

fof(f3282,plain,
    ( sk_c6 = multiply(inverse(sk_c6),sk_c6)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(superposition,[],[f61,f3229]) ).

fof(f3229,plain,
    ( sk_c6 = multiply(sk_c6,sk_c6)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3228,f78]) ).

fof(f3228,plain,
    ( sk_c6 = multiply(sk_c6,sk_c8)
    | spl0_1
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3094,f75]) ).

fof(f3094,plain,
    ( multiply(sk_c6,sk_c8) = sk_c7
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f1,f2,f21,f3,f26,f16,f11,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f30,f10,f15,f4,f829,f832,f831,f846,f847,f830,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f2364,f35,f22,f17,f18,f12,f13,f9,f14,f19,f823,f7,f2819,f8,f2822,f29,f24,f23,f20,f32,f27,f28,f25,f5]) ).

fof(f2822,plain,
    ( multiply(sk_c6,sk_c8) = sk_c7
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f1,f2,f21,f3,f26,f16,f11,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f30,f5,f10,f15,f25,f20,f4,f829,f832,f831,f846,f847,f830,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f2364,f35,f22,f17,f23,f18,f12,f13,f9,f14,f19,f28,f27,f24,f32,f29,f823,f7,f2819,f8]) ).

fof(f2819,plain,
    ( multiply(sk_c6,sk_c8) = sk_c7
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f1,f2,f21,f3,f26,f16,f11,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f30,f5,f10,f15,f25,f20,f4,f829,f832,f831,f846,f847,f830,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f2364,f35,f22,f17,f23,f18,f12,f13,f9,f14,f19,f28,f27,f24,f32,f29,f8,f823,f7]) ).

fof(f823,plain,
    ( multiply(sk_c6,sk_c8) = sk_c7
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f821]) ).

fof(f2364,plain,
    ( ! [X6,X7,X4,X5] :
        ( sk_c6 != inverse(X5)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X6)
        | sk_c8 != inverse(X4)
        | sk_c7 != multiply(X6,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
        | sk_c6 != multiply(sk_c8,sk_c7)
        | sk_c6 != multiply(X7,sk_c8)
        | sk_c8 != multiply(X5,sk_c6) )
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f35,f823]) ).

fof(f830,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c8,X0)) = multiply(sk_c7,X0)
    | ~ spl0_9 ),
    inference(superposition,[],[f3,f823]) ).

fof(f847,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(inverse(inverse(sk_c6)),multiply(sk_c8,X0))
    | ~ spl0_9 ),
    inference(superposition,[],[f3,f831]) ).

fof(f846,plain,
    ( sk_c8 = multiply(inverse(inverse(inverse(sk_c6))),sk_c7)
    | ~ spl0_9 ),
    inference(superposition,[],[f61,f831]) ).

fof(f831,plain,
    ( sk_c7 = multiply(inverse(inverse(sk_c6)),sk_c8)
    | ~ spl0_9 ),
    inference(superposition,[],[f61,f829]) ).

fof(f832,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(sk_c6),multiply(sk_c7,X0))
    | ~ spl0_9 ),
    inference(superposition,[],[f3,f829]) ).

fof(f829,plain,
    ( sk_c8 = multiply(inverse(sk_c6),sk_c7)
    | ~ spl0_9 ),
    inference(superposition,[],[f61,f823]) ).

fof(f3227,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3226]) ).

fof(f3226,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | spl0_12 ),
    inference(subsumption_resolution,[],[f3225,f1232]) ).

fof(f3225,plain,
    ( identity = sk_c6
    | spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3223,f2]) ).

fof(f3223,plain,
    ( sk_c6 = multiply(inverse(sk_c6),sk_c6)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(superposition,[],[f61,f3141]) ).

fof(f3141,plain,
    ( sk_c6 = multiply(sk_c6,sk_c6)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3140,f78]) ).

fof(f3140,plain,
    ( sk_c8 = multiply(sk_c6,sk_c8)
    | spl0_1
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f823,f3090]) ).

fof(f3090,plain,
    ( sk_c8 = sk_c7
    | spl0_1
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f2962,f38]) ).

fof(f2962,plain,
    ( sk_c8 = sk_c7
    | sk_c8 = inverse(sk_c4)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2961,f1532]) ).

fof(f2961,plain,
    ( sk_c7 = multiply(sk_c8,identity)
    | sk_c8 = inverse(sk_c4)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f11,f1229]) ).

fof(f1229,plain,
    ( identity = sk_c2
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f1227]) ).

fof(f1227,plain,
    ( spl0_11
  <=> identity = sk_c2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f3102,plain,
    ( spl0_6
    | spl0_1 ),
    inference(avatar_split_clause,[],[f46,f37,f167]) ).

fof(f167,plain,
    ( spl0_6
  <=> sk_c6 = inverse(sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f3084,plain,
    ( spl0_13
    | ~ spl0_4
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f3083,f1231,f154,f1758]) ).

fof(f1758,plain,
    ( spl0_13
  <=> ! [X4] :
        ( identity != multiply(identity,X4)
        | identity != inverse(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f154,plain,
    ( spl0_4
  <=> ! [X4] :
        ( sk_c6 != inverse(X4)
        | sk_c6 != multiply(sk_c6,multiply(X4,sk_c6)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f3083,plain,
    ( ! [X4] :
        ( identity != multiply(identity,X4)
        | identity != inverse(X4) )
    | ~ spl0_4
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3082,f1532]) ).

fof(f3082,plain,
    ( ! [X4] :
        ( identity != multiply(identity,multiply(X4,identity))
        | identity != inverse(X4) )
    | ~ spl0_4
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3081,f1233]) ).

fof(f1233,plain,
    ( identity = sk_c6
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f1231]) ).

fof(f3081,plain,
    ( ! [X4] :
        ( identity != inverse(X4)
        | sk_c6 != multiply(sk_c6,multiply(X4,sk_c6)) )
    | ~ spl0_4
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f155,f1233]) ).

fof(f155,plain,
    ( ! [X4] :
        ( sk_c6 != inverse(X4)
        | sk_c6 != multiply(sk_c6,multiply(X4,sk_c6)) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f154]) ).

fof(f3080,plain,
    ( spl0_8
    | ~ spl0_3
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f2982,f1231,f151,f507]) ).

fof(f507,plain,
    ( spl0_8
  <=> ! [X6] :
        ( identity != inverse(X6)
        | identity != multiply(X6,identity) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f151,plain,
    ( spl0_3
  <=> ! [X6] :
        ( sk_c6 != inverse(X6)
        | sk_c6 != multiply(X6,sk_c6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f2982,plain,
    ( ! [X6] :
        ( identity != multiply(X6,identity)
        | identity != inverse(X6) )
    | ~ spl0_3
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2981,f1233]) ).

fof(f2981,plain,
    ( ! [X6] :
        ( identity != inverse(X6)
        | sk_c6 != multiply(X6,sk_c6) )
    | ~ spl0_3
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f152,f1233]) ).

fof(f152,plain,
    ( ! [X6] :
        ( sk_c6 != inverse(X6)
        | sk_c6 != multiply(X6,sk_c6) )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f151]) ).

fof(f2922,plain,
    ( spl0_13
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f2336,f504,f1758]) ).

fof(f504,plain,
    ( spl0_7
  <=> ! [X4] :
        ( identity != inverse(X4)
        | identity != multiply(identity,multiply(X4,identity)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f2336,plain,
    ( ! [X4] :
        ( identity != multiply(identity,X4)
        | identity != inverse(X4) )
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f505,f1532]) ).

fof(f505,plain,
    ( ! [X4] :
        ( identity != inverse(X4)
        | identity != multiply(identity,multiply(X4,identity)) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f504]) ).

fof(f2816,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2815]) ).

fof(f2815,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f21,f3,f26,f16,f11,f6,f31,f39,f157,f159,f33,f171,f173,f176,f177,f178,f180,f193,f196,f184,f199,f186,f201,f188,f202,f189,f204,f185,f187,f215,f216,f195,f61,f324,f377,f321,f476,f464,f482,f495,f484,f481,f510,f511,f470,f467,f519,f520,f393,f390,f342,f381,f340,f378,f523,f526,f528,f330,f329,f356,f353,f225,f535,f197,f228,f538,f223,f222,f219,f544,f546,f553,f549,f554,f218,f543,f579,f582,f583,f599,f608,f545,f621,f624,f577,f478,f479,f462,f461,f341,f327,f30,f5,f10,f15,f25,f20,f339,f809,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1215,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f35,f22,f17,f23,f18,f12,f13,f2351,f9,f14,f19,f2581,f2584,f2587,f2588,f2303,f2591,f2595,f2300,f2586,f2583,f1216,f1232,f28,f27,f1478,f24,f32,f2740,f29,f8,f7,f2487,f376,f181,f168,f2497,f2494,f2493,f2485,f620,f810,f592,f368,f2804,f578,f165]) ).

fof(f165,plain,
    ( sk_c8 = inverse(sk_c5)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f163]) ).

fof(f163,plain,
    ( spl0_5
  <=> sk_c8 = inverse(sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f578,plain,
    ( identity = sk_c4
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f543,f1]) ).

fof(f2804,plain,
    ( sk_c4 = sk_c5
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f1612,f925]) ).

fof(f1612,plain,
    ( sk_c5 = inverse(sk_c8)
    | ~ spl0_5 ),
    inference(superposition,[],[f1559,f165]) ).

fof(f368,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f334,f2]) ).

fof(f334,plain,
    ( sk_c6 = multiply(inverse(sk_c6),sk_c6)
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f61,f196]) ).

fof(f592,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f584,f481]) ).

fof(f584,plain,
    ( sk_c8 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f39,f578]) ).

fof(f810,plain,
    ( sk_c4 = sk_c5
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f341,f339]) ).

fof(f620,plain,
    ( identity = sk_c5
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f545,f1]) ).

fof(f2485,plain,
    ( sk_c8 = inverse(sk_c5)
    | ~ spl0_5 ),
    inference(global_subsumption,[],[f1,f2,f21,f3,f28,f26,f16,f11,f6,f31,f33,f171,f173,f61,f324,f321,f476,f464,f482,f495,f484,f481,f479,f462,f341,f327,f32,f30,f29,f5,f7,f10,f15,f24,f25,f27,f20,f4,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f19,f14,f9,f165,f13,f12,f18,f23,f17,f22,f35,f8]) ).

fof(f2493,plain,
    ( sk_c8 = inverse(sk_c5)
    | ~ spl0_5 ),
    inference(global_subsumption,[],[f1,f2,f21,f3,f28,f26,f16,f11,f6,f31,f33,f171,f173,f61,f324,f321,f476,f464,f482,f495,f484,f481,f479,f462,f341,f327,f32,f30,f29,f5,f10,f15,f24,f25,f27,f20,f4,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f19,f14,f9,f165,f13,f12,f18,f35,f8,f2485,f7,f22,f17,f23]) ).

fof(f2494,plain,
    ( sk_c8 = inverse(sk_c5)
    | ~ spl0_5 ),
    inference(global_subsumption,[],[f1,f2,f21,f3,f28,f26,f16,f11,f6,f31,f33,f171,f173,f61,f324,f321,f476,f464,f482,f495,f484,f481,f479,f462,f341,f327,f32,f30,f29,f5,f10,f15,f24,f25,f27,f20,f4,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f19,f14,f9,f165,f13,f12,f35,f8,f2485,f7,f22,f17,f23,f2493,f18]) ).

fof(f2497,plain,
    ( sk_c8 = inverse(sk_c5)
    | ~ spl0_5 ),
    inference(global_subsumption,[],[f1,f2,f21,f3,f28,f26,f16,f11,f6,f31,f33,f171,f173,f61,f324,f321,f476,f464,f482,f495,f484,f481,f479,f462,f341,f327,f32,f30,f29,f5,f10,f15,f24,f25,f27,f20,f4,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f19,f14,f9,f165,f35,f8,f2485,f7,f22,f17,f23,f2493,f18,f2494,f12,f13]) ).

fof(f168,plain,
    ( sk_c6 != inverse(sk_c3)
    | spl0_6 ),
    inference(avatar_component_clause,[],[f167]) ).

fof(f181,plain,
    ( sk_c6 = sk_c8
    | ~ spl0_1
    | spl0_6 ),
    inference(forward_demodulation,[],[f179,f176]) ).

fof(f179,plain,
    ( sk_c8 = multiply(sk_c8,sk_c7)
    | ~ spl0_1
    | spl0_6 ),
    inference(superposition,[],[f159,f178]) ).

fof(f376,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | spl0_6 ),
    inference(forward_demodulation,[],[f375,f2]) ).

fof(f375,plain,
    ( sk_c7 = multiply(inverse(sk_c6),sk_c6)
    | ~ spl0_1
    | spl0_6 ),
    inference(forward_demodulation,[],[f337,f181]) ).

fof(f337,plain,
    ( sk_c7 = multiply(inverse(sk_c8),sk_c6)
    | spl0_6 ),
    inference(superposition,[],[f61,f176]) ).

fof(f2487,plain,
    ( identity = sk_c7
    | multiply(sk_c6,sk_c8) = sk_c7
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f5,f850]) ).

fof(f2740,plain,
    ( identity = sk_c7
    | sk_c6 = inverse(sk_c3)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f30,f850]) ).

fof(f1478,plain,
    ( identity = sk_c7
    | sk_c8 = multiply(sk_c3,sk_c6)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f25,f850]) ).

fof(f1216,plain,
    ( identity = sk_c7
    | sk_c7 = multiply(sk_c8,sk_c2)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f10,f850]) ).

fof(f2583,plain,
    ( identity = sk_c6
    | sk_c7 = multiply(sk_c8,sk_c2)
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f2582,f850]) ).

fof(f2582,plain,
    ( sk_c6 = multiply(sk_c4,sk_c8)
    | sk_c7 = multiply(sk_c8,sk_c2)
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f12,f810]) ).

fof(f2586,plain,
    ( identity = sk_c6
    | sk_c2 = multiply(sk_c1,sk_c8)
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f2585,f850]) ).

fof(f2585,plain,
    ( sk_c6 = multiply(sk_c4,sk_c8)
    | sk_c2 = multiply(sk_c1,sk_c8)
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f17,f810]) ).

fof(f2300,plain,
    ( identity = sk_c7
    | sk_c2 = multiply(sk_c1,sk_c8)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f15,f850]) ).

fof(f2595,plain,
    ( identity = sk_c6
    | multiply(sk_c6,sk_c8) = sk_c7
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f2594,f850]) ).

fof(f2594,plain,
    ( sk_c6 = multiply(sk_c4,sk_c8)
    | multiply(sk_c6,sk_c8) = sk_c7
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f7,f810]) ).

fof(f2591,plain,
    ( identity = sk_c6
    | sk_c8 = inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f2590,f850]) ).

fof(f2590,plain,
    ( sk_c6 = multiply(sk_c4,sk_c8)
    | sk_c8 = inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f22,f810]) ).

fof(f2303,plain,
    ( identity = sk_c7
    | sk_c8 = inverse(sk_c1)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f20,f850]) ).

fof(f2588,plain,
    ( sk_c2 = multiply(sk_c1,sk_c8)
    | ~ spl0_1
    | ~ spl0_5
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f21,f3,f28,f26,f16,f11,f6,f31,f39,f157,f159,f33,f171,f173,f61,f324,f321,f476,f464,f482,f495,f484,f481,f478,f479,f462,f461,f341,f327,f32,f30,f29,f5,f10,f15,f24,f25,f27,f20,f339,f809,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1215,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f1232,f35,f8,f2485,f7,f2487,f22,f2303,f17,f23,f2493,f18,f2494,f12,f13,f2497,f2351,f165,f9,f14,f19,f810,f1216,f2581,f2583,f2584,f2586,f2587,f2300]) ).

fof(f2587,plain,
    ( sk_c2 = multiply(sk_c1,sk_c8)
    | ~ spl0_1
    | ~ spl0_5
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f21,f3,f28,f26,f16,f11,f6,f31,f39,f157,f159,f33,f171,f173,f61,f324,f321,f476,f464,f482,f495,f484,f481,f478,f479,f462,f461,f341,f327,f32,f30,f29,f5,f10,f15,f24,f25,f27,f20,f339,f809,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1215,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f1232,f35,f8,f2485,f7,f2487,f22,f2303,f2300,f17,f23,f2493,f18,f2494,f12,f13,f2497,f2351,f165,f9,f14,f19,f810,f1216,f2581,f2583,f2584,f2586]) ).

fof(f2584,plain,
    ( sk_c7 = multiply(sk_c8,sk_c2)
    | ~ spl0_1
    | ~ spl0_5
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f21,f3,f28,f26,f16,f11,f6,f31,f39,f157,f159,f33,f171,f173,f61,f324,f321,f476,f464,f482,f495,f484,f481,f478,f479,f462,f461,f341,f327,f32,f30,f29,f5,f10,f15,f24,f25,f27,f20,f339,f809,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1215,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f1232,f35,f8,f2485,f7,f2487,f22,f2303,f2300,f17,f23,f2493,f18,f2494,f12,f13,f2497,f2351,f165,f9,f14,f19,f810,f1216,f2581,f2583]) ).

fof(f2581,plain,
    ( sk_c7 = multiply(sk_c8,sk_c2)
    | ~ spl0_1
    | ~ spl0_5
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f21,f3,f28,f26,f16,f11,f6,f31,f39,f157,f159,f33,f171,f173,f61,f324,f321,f476,f464,f482,f495,f484,f481,f478,f479,f462,f461,f341,f327,f32,f30,f29,f5,f10,f15,f24,f25,f27,f20,f339,f809,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1215,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f1232,f35,f8,f2485,f7,f2487,f22,f2303,f2300,f17,f23,f2493,f18,f2494,f12,f13,f2497,f2351,f165,f9,f14,f19,f810,f1216]) ).

fof(f2351,plain,
    ( sk_c4 = sk_c5
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f1612,f925]) ).

fof(f1215,plain,
    ( identity = sk_c6
    | sk_c7 = multiply(sk_c8,sk_c2)
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f1214,f850]) ).

fof(f1214,plain,
    ( sk_c6 = multiply(sk_c4,sk_c8)
    | sk_c7 = multiply(sk_c8,sk_c2)
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f12,f810]) ).

fof(f925,plain,
    ( sk_c4 = inverse(sk_c8)
    | ~ spl0_1 ),
    inference(superposition,[],[f840,f321]) ).

fof(f929,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(inverse(inverse(sk_c8))),X0)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f928,f1]) ).

fof(f928,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(inverse(inverse(sk_c8))),multiply(identity,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f840]) ).

fof(f927,plain,
    ( identity = multiply(inverse(inverse(inverse(inverse(sk_c8)))),sk_c4)
    | ~ spl0_1 ),
    inference(superposition,[],[f61,f840]) ).

fof(f926,plain,
    ( sk_c4 = inverse(sk_c8)
    | ~ spl0_1 ),
    inference(superposition,[],[f321,f840]) ).

fof(f840,plain,
    ( sk_c4 = multiply(inverse(inverse(inverse(sk_c8))),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f61,f807]) ).

fof(f852,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c8,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f326,f61]) ).

fof(f859,plain,
    ( sk_c8 = multiply(sk_c8,identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f159,f850]) ).

fof(f851,plain,
    ( sk_c4 = multiply(sk_c4,identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f326,f339]) ).

fof(f863,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c8,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f861,f1]) ).

fof(f861,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c4,multiply(sk_c8,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f850]) ).

fof(f862,plain,
    ( sk_c8 = multiply(sk_c8,identity)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f860,f39]) ).

fof(f860,plain,
    ( sk_c8 = multiply(inverse(sk_c4),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f61,f850]) ).

fof(f850,plain,
    ( identity = multiply(sk_c4,sk_c8)
    | ~ spl0_1 ),
    inference(superposition,[],[f326,f2]) ).

fof(f857,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c8,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f61,f326]) ).

fof(f856,plain,
    ( sk_c4 = multiply(sk_c4,identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f339,f326]) ).

fof(f854,plain,
    ( ! [X0] : multiply(inverse(inverse(sk_c8)),multiply(sk_c4,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f61,f326]) ).

fof(f853,plain,
    ( identity = multiply(sk_c4,sk_c8)
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f326]) ).

fof(f326,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c8),X0)
    | ~ spl0_1 ),
    inference(superposition,[],[f61,f159]) ).

fof(f842,plain,
    ( ! [X0] : multiply(inverse(inverse(sk_c8)),multiply(sk_c4,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f841,f1]) ).

fof(f841,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(sk_c8)),multiply(sk_c4,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f807]) ).

fof(f807,plain,
    ( identity = multiply(inverse(inverse(sk_c8)),sk_c4)
    | ~ spl0_1 ),
    inference(superposition,[],[f61,f339]) ).

fof(f809,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c8),X0)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f808,f1]) ).

fof(f808,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c8),multiply(identity,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f339]) ).

fof(f339,plain,
    ( sk_c4 = multiply(inverse(sk_c8),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f61,f157]) ).

fof(f327,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(inverse(sk_c8),X0)
    | ~ spl0_5 ),
    inference(superposition,[],[f61,f173]) ).

fof(f341,plain,
    ( sk_c5 = multiply(inverse(sk_c8),identity)
    | ~ spl0_5 ),
    inference(superposition,[],[f61,f171]) ).

fof(f461,plain,
    ( sk_c4 = multiply(inverse(sk_c8),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f321,f39]) ).

fof(f462,plain,
    ( sk_c5 = multiply(inverse(sk_c8),identity)
    | ~ spl0_5 ),
    inference(superposition,[],[f321,f165]) ).

fof(f479,plain,
    ( identity = multiply(inverse(inverse(sk_c8)),sk_c5)
    | ~ spl0_5 ),
    inference(superposition,[],[f464,f165]) ).

fof(f478,plain,
    ( identity = multiply(inverse(inverse(sk_c8)),sk_c4)
    | ~ spl0_1 ),
    inference(superposition,[],[f464,f39]) ).

fof(f577,plain,
    ( ! [X6,X7,X4,X5] :
        ( identity != inverse(X5)
        | identity != inverse(X7)
        | identity != inverse(X6)
        | identity != inverse(X4)
        | identity != multiply(X6,identity)
        | identity != multiply(identity,multiply(X4,identity))
        | identity != multiply(X7,identity)
        | identity != multiply(X5,identity) )
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f576,f368]) ).

fof(f576,plain,
    ( ! [X6,X7,X4,X5] :
        ( identity != inverse(X7)
        | identity != inverse(X6)
        | identity != inverse(X4)
        | identity != multiply(X6,identity)
        | identity != multiply(identity,multiply(X4,identity))
        | identity != multiply(X7,identity)
        | identity != multiply(X5,identity)
        | sk_c6 != inverse(X5) )
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f575,f368]) ).

fof(f575,plain,
    ( ! [X6,X7,X4,X5] :
        ( identity != inverse(X6)
        | identity != inverse(X4)
        | identity != multiply(X6,identity)
        | identity != multiply(identity,multiply(X4,identity))
        | identity != multiply(X7,identity)
        | identity != multiply(X5,identity)
        | sk_c6 != inverse(X7)
        | sk_c6 != inverse(X5) )
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f574,f368]) ).

fof(f574,plain,
    ( ! [X6,X7,X4,X5] :
        ( identity != inverse(X4)
        | identity != multiply(X6,identity)
        | identity != multiply(identity,multiply(X4,identity))
        | identity != multiply(X7,identity)
        | identity != multiply(X5,identity)
        | sk_c6 != inverse(X6)
        | sk_c6 != inverse(X7)
        | sk_c6 != inverse(X5) )
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f573,f368]) ).

fof(f573,plain,
    ( ! [X6,X7,X4,X5] :
        ( identity != multiply(X6,identity)
        | identity != multiply(identity,multiply(X4,identity))
        | identity != multiply(X7,identity)
        | identity != multiply(X5,identity)
        | sk_c6 != inverse(X4)
        | sk_c6 != inverse(X6)
        | sk_c6 != inverse(X7)
        | sk_c6 != inverse(X5) )
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f572,f368]) ).

fof(f572,plain,
    ( ! [X6,X7,X4,X5] :
        ( identity != multiply(identity,multiply(X4,identity))
        | identity != multiply(X7,identity)
        | identity != multiply(X5,identity)
        | identity != multiply(X6,sk_c6)
        | sk_c6 != inverse(X4)
        | sk_c6 != inverse(X6)
        | sk_c6 != inverse(X7)
        | sk_c6 != inverse(X5) )
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f571,f368]) ).

fof(f571,plain,
    ( ! [X6,X7,X4,X5] :
        ( identity != multiply(X7,identity)
        | identity != multiply(X5,identity)
        | identity != multiply(sk_c6,multiply(X4,sk_c6))
        | identity != multiply(X6,sk_c6)
        | sk_c6 != inverse(X4)
        | sk_c6 != inverse(X6)
        | sk_c6 != inverse(X7)
        | sk_c6 != inverse(X5) )
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f570,f368]) ).

fof(f570,plain,
    ( ! [X6,X7,X4,X5] :
        ( identity != multiply(X5,identity)
        | sk_c6 != multiply(X7,sk_c6)
        | identity != multiply(sk_c6,multiply(X4,sk_c6))
        | identity != multiply(X6,sk_c6)
        | sk_c6 != inverse(X4)
        | sk_c6 != inverse(X6)
        | sk_c6 != inverse(X7)
        | sk_c6 != inverse(X5) )
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f520,f368]) ).

fof(f624,plain,
    ( identity = sk_c5
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f622,f2]) ).

fof(f622,plain,
    ( sk_c5 = multiply(inverse(identity),identity)
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f61,f545]) ).

fof(f621,plain,
    ( identity = sk_c5
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f1,f545]) ).

fof(f545,plain,
    ( identity = multiply(identity,sk_c5)
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f186,f368]) ).

fof(f608,plain,
    ( identity = multiply(identity,sk_c5)
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f171,f592]) ).

fof(f599,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f598,f376]) ).

fof(f598,plain,
    ( sk_c8 = sk_c7
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f587,f1]) ).

fof(f587,plain,
    ( sk_c7 = multiply(identity,sk_c8)
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f178,f578]) ).

fof(f583,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c4,X0)) = X0
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f581,f1]) ).

fof(f581,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(identity,multiply(sk_c4,X0))
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f3,f543]) ).

fof(f582,plain,
    ( identity = sk_c4
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f580,f2]) ).

fof(f580,plain,
    ( sk_c4 = multiply(inverse(identity),identity)
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f61,f543]) ).

fof(f579,plain,
    ( identity = sk_c4
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f1,f543]) ).

fof(f543,plain,
    ( identity = multiply(identity,sk_c4)
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f184,f368]) ).

fof(f218,plain,
    ( ! [X0] : multiply(sk_c5,X0) = X0
    | ~ spl0_1
    | spl0_6 ),
    inference(superposition,[],[f195,f185]) ).

fof(f554,plain,
    ( ! [X0] : multiply(sk_c5,X0) = X0
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f550,f1]) ).

fof(f550,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(identity,X0))
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f195,f368]) ).

fof(f549,plain,
    ( identity = multiply(sk_c5,identity)
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f193,f368]) ).

fof(f553,plain,
    ( identity = multiply(sk_c4,identity)
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f548,f376]) ).

fof(f548,plain,
    ( sk_c7 = multiply(sk_c4,identity)
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f189,f368]) ).

fof(f546,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c5,X0)) = X0
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f187,f368]) ).

fof(f544,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c4,X0)) = X0
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f185,f368]) ).

fof(f219,plain,
    ( ! [X0] : multiply(sk_c5,X0) = X0
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f195,f187]) ).

fof(f222,plain,
    ( identity = multiply(sk_c5,identity)
    | ~ spl0_1
    | spl0_6 ),
    inference(superposition,[],[f195,f184]) ).

fof(f223,plain,
    ( identity = multiply(sk_c5,identity)
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f195,f186]) ).

fof(f538,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c6,X0)) = X0
    | ~ spl0_1
    | spl0_6 ),
    inference(forward_demodulation,[],[f537,f1]) ).

fof(f537,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c4,multiply(sk_c6,X0))
    | ~ spl0_1
    | spl0_6 ),
    inference(forward_demodulation,[],[f216,f376]) ).

fof(f228,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c6,multiply(sk_c6,X0))
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f226,f181]) ).

fof(f226,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c8,multiply(sk_c6,X0))
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f173,f195]) ).

fof(f197,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c6,multiply(sk_c6,X0))
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f3,f196]) ).

fof(f535,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c6,X0)) = X0
    | ~ spl0_1
    | spl0_6 ),
    inference(forward_demodulation,[],[f534,f1]) ).

fof(f534,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c4,multiply(sk_c6,X0))
    | ~ spl0_1
    | spl0_6 ),
    inference(forward_demodulation,[],[f204,f376]) ).

fof(f225,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c6,multiply(sk_c6,X0))
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f187,f195]) ).

fof(f353,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c6),X0)
    | ~ spl0_1
    | spl0_6 ),
    inference(forward_demodulation,[],[f326,f181]) ).

fof(f356,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(inverse(sk_c6),X0)
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f327,f181]) ).

fof(f329,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c6),X0)
    | ~ spl0_1
    | spl0_6 ),
    inference(superposition,[],[f61,f185]) ).

fof(f330,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(inverse(sk_c6),X0)
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f61,f187]) ).

fof(f528,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c6,multiply(sk_c6,X0))
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f527,f181]) ).

fof(f527,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c8,multiply(sk_c6,X0))
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f331,f165]) ).

fof(f331,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(sk_c5),multiply(sk_c6,X0))
    | ~ spl0_1
    | spl0_6 ),
    inference(superposition,[],[f61,f195]) ).

fof(f526,plain,
    ( sk_c6 = multiply(sk_c6,identity)
    | ~ spl0_1
    | spl0_6 ),
    inference(forward_demodulation,[],[f525,f181]) ).

fof(f525,plain,
    ( sk_c6 = multiply(sk_c8,identity)
    | ~ spl0_1
    | spl0_6 ),
    inference(forward_demodulation,[],[f524,f39]) ).

fof(f524,plain,
    ( sk_c6 = multiply(inverse(sk_c4),identity)
    | ~ spl0_1
    | spl0_6 ),
    inference(forward_demodulation,[],[f335,f376]) ).

fof(f335,plain,
    ( sk_c6 = multiply(inverse(sk_c4),sk_c7)
    | ~ spl0_1
    | spl0_6 ),
    inference(superposition,[],[f61,f189]) ).

fof(f523,plain,
    ( sk_c6 = multiply(sk_c6,identity)
    | ~ spl0_1
    | spl0_6 ),
    inference(forward_demodulation,[],[f522,f181]) ).

fof(f522,plain,
    ( sk_c8 = multiply(sk_c8,identity)
    | ~ spl0_1
    | spl0_6 ),
    inference(forward_demodulation,[],[f521,f39]) ).

fof(f521,plain,
    ( sk_c8 = multiply(inverse(sk_c4),identity)
    | ~ spl0_1
    | spl0_6 ),
    inference(forward_demodulation,[],[f336,f376]) ).

fof(f336,plain,
    ( sk_c8 = multiply(inverse(sk_c4),sk_c7)
    | spl0_6 ),
    inference(superposition,[],[f61,f178]) ).

fof(f378,plain,
    ( sk_c4 = multiply(inverse(sk_c6),identity)
    | ~ spl0_1
    | spl0_6 ),
    inference(forward_demodulation,[],[f339,f181]) ).

fof(f340,plain,
    ( sk_c4 = multiply(inverse(sk_c6),identity)
    | ~ spl0_1
    | spl0_6 ),
    inference(superposition,[],[f61,f184]) ).

fof(f381,plain,
    ( sk_c5 = multiply(inverse(sk_c6),identity)
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f341,f181]) ).

fof(f342,plain,
    ( sk_c5 = multiply(inverse(sk_c6),identity)
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f61,f186]) ).

fof(f390,plain,
    ( sk_c6 = multiply(sk_c6,identity)
    | ~ spl0_1
    | spl0_6 ),
    inference(superposition,[],[f188,f376]) ).

fof(f393,plain,
    ( sk_c6 = multiply(sk_c6,identity)
    | ~ spl0_1
    | spl0_6 ),
    inference(forward_demodulation,[],[f391,f181]) ).

fof(f391,plain,
    ( sk_c6 = multiply(sk_c8,identity)
    | ~ spl0_1
    | spl0_6 ),
    inference(superposition,[],[f176,f376]) ).

fof(f520,plain,
    ( ! [X6,X7,X4,X5] :
        ( sk_c6 != multiply(X5,sk_c6)
        | sk_c6 != multiply(X7,sk_c6)
        | identity != multiply(sk_c6,multiply(X4,sk_c6))
        | identity != multiply(X6,sk_c6)
        | sk_c6 != inverse(X4)
        | sk_c6 != inverse(X6)
        | sk_c6 != inverse(X7)
        | sk_c6 != inverse(X5) )
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(global_subsumption,[],[f23,f20,f22,f19,f1,f2,f21,f3,f35,f27,f25,f24,f17,f15,f14,f12,f10,f9,f7,f5,f4,f32,f30,f29,f28,f26,f18,f16,f13,f11,f8,f6,f31,f39,f157,f159,f33,f165,f168,f171,f173,f176,f177,f178,f180,f181,f193,f196,f197,f184,f199,f186,f201,f188,f202,f189,f204,f185,f187,f215,f216,f195,f218,f219,f222,f223,f225,f228,f61,f324,f332,f377,f376,f321,f476,f464,f482,f495,f484,f481,f510,f511,f470,f467,f368,f519]) ).

fof(f519,plain,
    ( ! [X6,X7,X4,X5] :
        ( identity != sk_c6
        | sk_c6 != multiply(X5,sk_c6)
        | sk_c6 != multiply(X7,sk_c6)
        | identity != multiply(sk_c6,multiply(X4,sk_c6))
        | identity != multiply(X6,sk_c6)
        | sk_c6 != inverse(X4)
        | sk_c6 != inverse(X6)
        | sk_c6 != inverse(X7)
        | sk_c6 != inverse(X5) )
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f518,f196]) ).

fof(f518,plain,
    ( ! [X6,X7,X4,X5] :
        ( identity != multiply(sk_c6,sk_c6)
        | sk_c6 != multiply(X5,sk_c6)
        | sk_c6 != multiply(X7,sk_c6)
        | identity != multiply(sk_c6,multiply(X4,sk_c6))
        | identity != multiply(X6,sk_c6)
        | sk_c6 != inverse(X4)
        | sk_c6 != inverse(X6)
        | sk_c6 != inverse(X7)
        | sk_c6 != inverse(X5) )
    | ~ spl0_1
    | spl0_6 ),
    inference(forward_demodulation,[],[f517,f181]) ).

fof(f517,plain,
    ( ! [X6,X7,X4,X5] :
        ( identity != multiply(sk_c6,sk_c8)
        | sk_c6 != multiply(X5,sk_c6)
        | sk_c6 != multiply(X7,sk_c6)
        | identity != multiply(sk_c6,multiply(X4,sk_c6))
        | identity != multiply(X6,sk_c6)
        | sk_c6 != inverse(X4)
        | sk_c6 != inverse(X6)
        | sk_c6 != inverse(X7)
        | sk_c6 != inverse(X5) )
    | ~ spl0_1
    | spl0_6 ),
    inference(forward_demodulation,[],[f516,f376]) ).

fof(f516,plain,
    ( ! [X6,X7,X4,X5] :
        ( sk_c6 != multiply(X5,sk_c6)
        | sk_c6 != multiply(X7,sk_c6)
        | identity != multiply(sk_c6,multiply(X4,sk_c6))
        | identity != multiply(X6,sk_c6)
        | sk_c6 != inverse(X4)
        | sk_c6 != inverse(X6)
        | sk_c6 != inverse(X7)
        | sk_c6 != inverse(X5)
        | multiply(sk_c6,sk_c8) != sk_c7 )
    | ~ spl0_1
    | spl0_6 ),
    inference(forward_demodulation,[],[f515,f181]) ).

fof(f515,plain,
    ( ! [X6,X7,X4,X5] :
        ( sk_c6 != multiply(X7,sk_c6)
        | identity != multiply(sk_c6,multiply(X4,sk_c6))
        | identity != multiply(X6,sk_c6)
        | sk_c6 != inverse(X4)
        | sk_c6 != inverse(X6)
        | sk_c6 != inverse(X7)
        | sk_c6 != inverse(X5)
        | sk_c8 != multiply(X5,sk_c6)
        | multiply(sk_c6,sk_c8) != sk_c7 )
    | ~ spl0_1
    | spl0_6 ),
    inference(forward_demodulation,[],[f514,f181]) ).

fof(f514,plain,
    ( ! [X6,X7,X4,X5] :
        ( identity != multiply(sk_c6,multiply(X4,sk_c6))
        | identity != multiply(X6,sk_c6)
        | sk_c6 != inverse(X4)
        | sk_c6 != inverse(X6)
        | sk_c6 != inverse(X7)
        | sk_c6 != inverse(X5)
        | sk_c6 != multiply(X7,sk_c8)
        | sk_c8 != multiply(X5,sk_c6)
        | multiply(sk_c6,sk_c8) != sk_c7 )
    | ~ spl0_1
    | spl0_6 ),
    inference(forward_demodulation,[],[f513,f376]) ).

fof(f513,plain,
    ( ! [X6,X7,X4,X5] :
        ( sk_c7 != multiply(sk_c6,multiply(X4,sk_c6))
        | identity != multiply(X6,sk_c6)
        | sk_c6 != inverse(X4)
        | sk_c6 != inverse(X6)
        | sk_c6 != inverse(X7)
        | sk_c6 != inverse(X5)
        | sk_c6 != multiply(X7,sk_c8)
        | sk_c8 != multiply(X5,sk_c6)
        | multiply(sk_c6,sk_c8) != sk_c7 )
    | ~ spl0_1
    | spl0_6 ),
    inference(forward_demodulation,[],[f512,f181]) ).

fof(f512,plain,
    ( ! [X6,X7,X4,X5] :
        ( identity != multiply(X6,sk_c6)
        | sk_c6 != inverse(X4)
        | sk_c6 != inverse(X6)
        | sk_c6 != inverse(X7)
        | sk_c6 != inverse(X5)
        | sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
        | sk_c6 != multiply(X7,sk_c8)
        | sk_c8 != multiply(X5,sk_c6)
        | multiply(sk_c6,sk_c8) != sk_c7 )
    | ~ spl0_1
    | spl0_6 ),
    inference(forward_demodulation,[],[f399,f376]) ).

fof(f399,plain,
    ( ! [X6,X7,X4,X5] :
        ( sk_c7 != multiply(X6,sk_c6)
        | sk_c6 != inverse(X4)
        | sk_c6 != inverse(X6)
        | sk_c6 != inverse(X7)
        | sk_c6 != inverse(X5)
        | sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
        | sk_c6 != multiply(X7,sk_c8)
        | sk_c8 != multiply(X5,sk_c6)
        | multiply(sk_c6,sk_c8) != sk_c7 )
    | ~ spl0_1
    | spl0_6 ),
    inference(forward_demodulation,[],[f398,f181]) ).

fof(f398,plain,
    ( ! [X6,X7,X4,X5] :
        ( sk_c6 != inverse(X4)
        | sk_c6 != inverse(X6)
        | sk_c6 != inverse(X7)
        | sk_c6 != inverse(X5)
        | sk_c7 != multiply(X6,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
        | sk_c6 != multiply(X7,sk_c8)
        | sk_c8 != multiply(X5,sk_c6)
        | multiply(sk_c6,sk_c8) != sk_c7 )
    | ~ spl0_1
    | spl0_6 ),
    inference(forward_demodulation,[],[f397,f181]) ).

fof(f397,plain,
    ( ! [X6,X7,X4,X5] :
        ( sk_c6 != inverse(X6)
        | sk_c6 != inverse(X7)
        | sk_c6 != inverse(X5)
        | sk_c8 != inverse(X4)
        | sk_c7 != multiply(X6,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
        | sk_c6 != multiply(X7,sk_c8)
        | sk_c8 != multiply(X5,sk_c6)
        | multiply(sk_c6,sk_c8) != sk_c7 )
    | ~ spl0_1
    | spl0_6 ),
    inference(forward_demodulation,[],[f396,f181]) ).

fof(f396,plain,
    ( ! [X6,X7,X4,X5] :
        ( sk_c6 != inverse(X7)
        | sk_c6 != inverse(X5)
        | sk_c8 != inverse(X6)
        | sk_c8 != inverse(X4)
        | sk_c7 != multiply(X6,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
        | sk_c6 != multiply(X7,sk_c8)
        | sk_c8 != multiply(X5,sk_c6)
        | multiply(sk_c6,sk_c8) != sk_c7 )
    | ~ spl0_1
    | spl0_6 ),
    inference(forward_demodulation,[],[f395,f181]) ).

fof(f395,plain,
    ( ! [X6,X7,X4,X5] :
        ( sk_c6 != inverse(X5)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X6)
        | sk_c8 != inverse(X4)
        | sk_c7 != multiply(X6,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
        | sk_c6 != multiply(X7,sk_c8)
        | sk_c8 != multiply(X5,sk_c6)
        | multiply(sk_c6,sk_c8) != sk_c7 )
    | spl0_6 ),
    inference(subsumption_resolution,[],[f35,f176]) ).

fof(f467,plain,
    ( sk_c4 = multiply(inverse(sk_c6),identity)
    | ~ spl0_1
    | spl0_6 ),
    inference(forward_demodulation,[],[f461,f181]) ).

fof(f470,plain,
    ( sk_c5 = multiply(inverse(sk_c6),identity)
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f462,f181]) ).

fof(f511,plain,
    ( identity = multiply(inverse(inverse(sk_c6)),sk_c4)
    | ~ spl0_1
    | spl0_6 ),
    inference(forward_demodulation,[],[f478,f181]) ).

fof(f510,plain,
    ( identity = multiply(inverse(inverse(sk_c6)),sk_c5)
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f479,f181]) ).

fof(f377,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | spl0_6 ),
    inference(forward_demodulation,[],[f338,f2]) ).

fof(f338,plain,
    ( sk_c7 = multiply(inverse(sk_c6),sk_c6)
    | ~ spl0_1
    | spl0_6 ),
    inference(superposition,[],[f61,f188]) ).

fof(f195,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c5,multiply(sk_c6,X0))
    | ~ spl0_1
    | spl0_6 ),
    inference(superposition,[],[f3,f193]) ).

fof(f216,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c4,multiply(sk_c6,X0))
    | ~ spl0_1
    | spl0_6 ),
    inference(forward_demodulation,[],[f180,f181]) ).

fof(f215,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c6,multiply(sk_c7,X0))
    | ~ spl0_1
    | spl0_6 ),
    inference(forward_demodulation,[],[f177,f181]) ).

fof(f187,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c5,X0)) = X0
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f173,f181]) ).

fof(f185,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c4,X0)) = X0
    | ~ spl0_1
    | spl0_6 ),
    inference(superposition,[],[f159,f181]) ).

fof(f204,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c4,multiply(sk_c6,X0))
    | ~ spl0_1
    | spl0_6 ),
    inference(superposition,[],[f3,f189]) ).

fof(f189,plain,
    ( sk_c7 = multiply(sk_c4,sk_c6)
    | ~ spl0_1
    | spl0_6 ),
    inference(superposition,[],[f178,f181]) ).

fof(f202,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c6,multiply(sk_c7,X0))
    | ~ spl0_1
    | spl0_6 ),
    inference(superposition,[],[f3,f188]) ).

fof(f188,plain,
    ( sk_c6 = multiply(sk_c6,sk_c7)
    | ~ spl0_1
    | spl0_6 ),
    inference(superposition,[],[f176,f181]) ).

fof(f201,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c5,X0)) = X0
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f200,f1]) ).

fof(f200,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c5,X0))
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f3,f186]) ).

fof(f186,plain,
    ( identity = multiply(sk_c6,sk_c5)
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f171,f181]) ).

fof(f199,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c4,X0)) = X0
    | ~ spl0_1
    | spl0_6 ),
    inference(forward_demodulation,[],[f198,f1]) ).

fof(f198,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c4,X0))
    | ~ spl0_1
    | spl0_6 ),
    inference(superposition,[],[f3,f184]) ).

fof(f184,plain,
    ( identity = multiply(sk_c6,sk_c4)
    | ~ spl0_1
    | spl0_6 ),
    inference(superposition,[],[f157,f181]) ).

fof(f196,plain,
    ( sk_c6 = multiply(sk_c6,sk_c6)
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f194,f181]) ).

fof(f194,plain,
    ( sk_c6 = multiply(sk_c8,sk_c6)
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f173,f193]) ).

fof(f193,plain,
    ( sk_c6 = multiply(sk_c5,sk_c6)
    | ~ spl0_1
    | spl0_6 ),
    inference(forward_demodulation,[],[f192,f181]) ).

fof(f192,plain,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | spl0_6 ),
    inference(subsumption_resolution,[],[f32,f168]) ).

fof(f180,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c4,multiply(sk_c8,X0))
    | spl0_6 ),
    inference(superposition,[],[f3,f178]) ).

fof(f178,plain,
    ( sk_c7 = multiply(sk_c4,sk_c8)
    | spl0_6 ),
    inference(subsumption_resolution,[],[f30,f168]) ).

fof(f177,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c8,multiply(sk_c7,X0))
    | spl0_6 ),
    inference(superposition,[],[f3,f176]) ).

fof(f176,plain,
    ( sk_c6 = multiply(sk_c8,sk_c7)
    | spl0_6 ),
    inference(subsumption_resolution,[],[f29,f168]) ).

fof(f173,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f172,f1]) ).

fof(f172,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c5,X0))
    | ~ spl0_5 ),
    inference(superposition,[],[f3,f171]) ).

fof(f171,plain,
    ( identity = multiply(sk_c8,sk_c5)
    | ~ spl0_5 ),
    inference(superposition,[],[f2,f165]) ).

fof(f159,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c4,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f158,f1]) ).

fof(f158,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c4,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f157]) ).

fof(f157,plain,
    ( identity = multiply(sk_c8,sk_c4)
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f39]) ).

fof(f39,plain,
    ( sk_c8 = inverse(sk_c4)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f37]) ).

fof(f2814,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2813]) ).

fof(f2813,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f1928,f1,f2,f21,f3,f26,f16,f11,f6,f31,f39,f157,f159,f33,f171,f173,f176,f177,f178,f180,f193,f196,f184,f199,f186,f201,f188,f202,f189,f204,f185,f187,f215,f216,f195,f61,f324,f377,f321,f476,f464,f482,f495,f484,f481,f510,f511,f470,f467,f519,f520,f393,f390,f342,f381,f340,f378,f523,f526,f528,f330,f329,f356,f353,f225,f535,f197,f228,f538,f223,f222,f219,f544,f546,f553,f549,f554,f218,f543,f579,f582,f583,f599,f608,f545,f621,f624,f577,f478,f479,f462,f461,f341,f327,f30,f5,f10,f15,f25,f20,f339,f809,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1215,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f35,f22,f17,f23,f18,f12,f13,f2351,f165,f9,f14,f19,f2581,f2584,f2587,f2588,f2303,f2591,f2595,f2300,f2586,f2583,f1216,f1232,f28,f27,f1478,f24,f32,f2740,f29,f8,f7,f2487,f376,f181,f168,f2497,f2494,f2493,f2485,f620,f810,f592,f368,f2804,f578]) ).

fof(f1928,plain,
    ( sk_c8 = sk_c7
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f23,f1,f2,f21,f3,f28,f26,f18,f16,f13,f11,f8,f6,f31,f39,f157,f159,f33,f165,f171,f173,f61,f324,f321,f476,f464,f482,f495,f484,f481,f478,f479,f462,f461,f341,f327,f32,f30,f29,f5,f7,f10,f12,f14,f15,f17,f24,f25,f35,f27,f22,f20,f19,f339,f809,f810,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1215,f1216,f9,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f1229,f1927,f1232,f1920]) ).

fof(f1920,plain,
    ( sk_c8 = sk_c7
    | identity = sk_c7
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1919,f859]) ).

fof(f1919,plain,
    ( sk_c7 = multiply(sk_c8,identity)
    | identity = sk_c7
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1216,f1229]) ).

fof(f1927,plain,
    ( sk_c8 = sk_c7
    | identity = sk_c6
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1926,f859]) ).

fof(f1926,plain,
    ( sk_c7 = multiply(sk_c8,identity)
    | identity = sk_c6
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1215,f1229]) ).

fof(f2812,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2811]) ).

fof(f2811,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f21,f3,f26,f16,f11,f6,f31,f39,f157,f159,f33,f171,f173,f176,f177,f178,f180,f193,f196,f184,f199,f186,f201,f188,f202,f189,f204,f185,f187,f215,f216,f195,f61,f324,f377,f321,f476,f464,f482,f495,f484,f481,f510,f511,f470,f467,f519,f520,f393,f390,f342,f381,f340,f378,f523,f526,f528,f330,f329,f356,f353,f225,f535,f197,f228,f538,f223,f222,f219,f544,f546,f553,f549,f554,f218,f543,f579,f582,f583,f599,f608,f545,f621,f624,f577,f478,f479,f462,f461,f341,f327,f30,f5,f10,f15,f25,f20,f339,f809,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1215,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f35,f22,f17,f23,f18,f12,f13,f2351,f165,f9,f14,f19,f2581,f2584,f2587,f2588,f2303,f2591,f2595,f2300,f2586,f2583,f1216,f1232,f28,f27,f1478,f24,f32,f2740,f29,f8,f7,f2487,f376,f181,f168,f2497,f2494,f2493,f2485,f620,f810,f592,f368,f2804,f578]) ).

fof(f2810,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | ~ spl0_10
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2809]) ).

fof(f2809,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | ~ spl0_10
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f1929,f1,f2,f21,f3,f26,f16,f11,f6,f31,f39,f157,f159,f33,f171,f173,f176,f177,f178,f180,f193,f196,f184,f199,f186,f201,f188,f202,f189,f204,f185,f187,f215,f216,f195,f61,f324,f377,f321,f476,f464,f482,f495,f484,f481,f510,f511,f470,f467,f519,f520,f393,f390,f342,f381,f340,f378,f523,f526,f528,f330,f329,f356,f353,f225,f535,f197,f228,f538,f223,f222,f219,f544,f546,f553,f549,f554,f218,f543,f579,f582,f583,f578,f599,f608,f545,f621,f624,f577,f478,f479,f462,f461,f341,f327,f30,f5,f10,f15,f25,f20,f339,f809,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1215,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f35,f22,f17,f23,f18,f12,f13,f2351,f165,f9,f14,f19,f2581,f2584,f2587,f2588,f2303,f2591,f2595,f2300,f2586,f2583,f1216,f1232,f28,f27,f1478,f24,f32,f2740,f29,f8,f7,f2487,f376,f181,f168,f2497,f2494,f2493,f2485,f620,f810,f592,f368,f2804]) ).

fof(f1929,plain,
    ( sk_c6 = multiply(sk_c8,sk_c8)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11
    | spl0_12 ),
    inference(superposition,[],[f827,f1928]) ).

fof(f827,plain,
    ( sk_c6 = multiply(sk_c8,sk_c7)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f825]) ).

fof(f825,plain,
    ( spl0_10
  <=> sk_c6 = multiply(sk_c8,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f2808,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2807]) ).

fof(f2807,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_12 ),
    inference(global_subsumption,[],[f394,f1,f2,f21,f3,f26,f16,f11,f6,f31,f39,f157,f159,f33,f171,f173,f176,f177,f178,f180,f193,f196,f184,f199,f186,f201,f188,f202,f189,f204,f185,f187,f215,f216,f195,f61,f324,f377,f321,f476,f464,f482,f495,f484,f481,f510,f511,f470,f467,f519,f520,f393,f390,f342,f381,f340,f378,f523,f526,f528,f330,f329,f356,f353,f225,f535,f197,f228,f538,f223,f222,f219,f544,f546,f553,f549,f554,f218,f543,f579,f582,f583,f578,f599,f608,f545,f621,f624,f577,f478,f479,f462,f461,f341,f327,f30,f5,f10,f15,f25,f20,f339,f809,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1215,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f35,f22,f17,f23,f18,f12,f13,f2351,f165,f9,f14,f19,f2581,f2584,f2587,f2588,f2303,f2591,f2595,f2300,f2586,f2583,f1216,f1232,f28,f27,f1478,f24,f32,f2740,f29,f8,f7,f2487,f376,f181,f168,f2497,f2494,f2493,f2485,f620,f810,f592,f368,f2804]) ).

fof(f394,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f393,f230]) ).

fof(f230,plain,
    ( ! [X0] : multiply(sk_c6,X0) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f187,f217]) ).

fof(f217,plain,
    ( ! [X0] : multiply(sk_c5,X0) = X0
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6 ),
    inference(superposition,[],[f195,f183]) ).

fof(f183,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c1,X0)) = X0
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6 ),
    inference(superposition,[],[f64,f181]) ).

fof(f2806,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2805]) ).

fof(f2805,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f21,f3,f26,f16,f11,f6,f31,f39,f157,f159,f33,f171,f173,f176,f177,f178,f180,f193,f196,f184,f199,f186,f201,f188,f202,f189,f204,f185,f187,f215,f216,f195,f61,f324,f377,f321,f476,f464,f482,f495,f484,f481,f510,f511,f470,f467,f519,f520,f393,f390,f342,f381,f340,f378,f523,f526,f528,f330,f329,f356,f353,f225,f535,f197,f228,f538,f223,f222,f219,f544,f546,f553,f549,f554,f218,f543,f579,f582,f583,f578,f599,f608,f545,f621,f624,f577,f478,f479,f462,f461,f341,f327,f30,f5,f10,f15,f25,f20,f339,f809,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1215,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f35,f22,f17,f23,f18,f12,f13,f2351,f165,f9,f14,f19,f2581,f2584,f2587,f2588,f2303,f2591,f2595,f2300,f2586,f2583,f1216,f1232,f28,f27,f1478,f24,f32,f2740,f29,f8,f7,f2487,f376,f181,f168,f2497,f2494,f2493,f2485,f620,f810,f592,f368,f2804]) ).

fof(f2803,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2802]) ).

fof(f2802,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f21,f3,f26,f16,f11,f6,f31,f39,f157,f159,f33,f171,f173,f176,f177,f178,f180,f193,f196,f184,f199,f186,f201,f188,f202,f189,f204,f185,f187,f215,f216,f195,f61,f324,f377,f321,f476,f464,f482,f495,f484,f481,f510,f511,f470,f467,f519,f520,f393,f390,f342,f381,f340,f378,f523,f526,f528,f330,f329,f356,f353,f225,f535,f197,f228,f538,f223,f222,f219,f544,f546,f553,f549,f554,f218,f543,f579,f582,f583,f578,f599,f608,f545,f621,f624,f577,f478,f479,f462,f461,f341,f327,f30,f5,f10,f15,f25,f20,f339,f809,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1215,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f35,f22,f17,f23,f18,f12,f13,f2351,f165,f9,f14,f19,f2581,f2584,f2587,f2588,f2303,f2591,f2595,f2300,f2586,f2583,f1216,f1232,f28,f27,f1478,f24,f32,f2740,f29,f8,f7,f2487,f376,f181,f168,f2497,f2494,f2493,f2485,f620,f810,f592,f368]) ).

fof(f2801,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2800]) ).

fof(f2800,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_12 ),
    inference(global_subsumption,[],[f2799,f1,f2,f21,f3,f26,f16,f11,f6,f31,f39,f157,f159,f33,f171,f173,f176,f177,f178,f180,f193,f196,f184,f199,f186,f201,f188,f202,f189,f204,f185,f187,f215,f216,f195,f61,f324,f377,f321,f476,f464,f482,f495,f484,f481,f510,f511,f470,f467,f519,f520,f393,f390,f342,f381,f340,f378,f523,f526,f528,f330,f329,f356,f353,f225,f535,f197,f228,f538,f223,f222,f219,f368,f544,f546,f553,f549,f554,f218,f543,f579,f582,f583,f578,f599,f608,f545,f621,f624,f577,f478,f479,f462,f461,f341,f327,f30,f5,f10,f15,f25,f20,f339,f809,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1215,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f35,f22,f17,f23,f18,f12,f13,f2351,f165,f9,f14,f19,f2581,f2584,f2587,f2588,f2303,f2591,f2595,f2300,f2586,f2583,f1216,f1232,f28,f27,f1478,f24,f32,f2740,f29,f8,f7,f2487,f376,f181,f168,f2497,f2494,f2493,f2485,f620,f810,f592]) ).

fof(f2799,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f260,f481]) ).

fof(f260,plain,
    ( sk_c6 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f253,f181]) ).

fof(f253,plain,
    ( sk_c8 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f39,f238]) ).

fof(f238,plain,
    ( identity = sk_c4
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f230,f184]) ).

fof(f2798,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2797]) ).

fof(f2797,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f21,f3,f26,f16,f11,f6,f31,f39,f157,f159,f33,f171,f173,f176,f177,f178,f180,f193,f196,f184,f199,f186,f201,f188,f202,f189,f204,f185,f187,f215,f216,f195,f61,f324,f377,f321,f476,f464,f482,f495,f484,f481,f510,f511,f470,f467,f519,f520,f393,f390,f342,f381,f340,f378,f523,f526,f528,f330,f329,f356,f353,f225,f535,f197,f228,f538,f223,f222,f219,f368,f544,f546,f553,f549,f554,f218,f543,f579,f582,f583,f578,f599,f608,f545,f621,f624,f577,f478,f479,f462,f461,f341,f327,f30,f5,f10,f15,f25,f20,f339,f809,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1215,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f35,f22,f17,f23,f18,f12,f13,f2351,f165,f9,f14,f19,f2581,f2584,f2587,f2588,f2303,f2591,f2595,f2300,f2586,f2583,f1216,f1232,f28,f27,f1478,f24,f32,f2740,f29,f8,f7,f2487,f376,f181,f168,f2497,f2494,f2493,f2485,f620,f810,f592]) ).

fof(f2796,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2795]) ).

fof(f2795,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f21,f3,f26,f16,f11,f6,f31,f39,f157,f159,f33,f171,f173,f176,f177,f178,f180,f193,f196,f184,f199,f186,f201,f188,f202,f189,f204,f185,f187,f215,f216,f195,f61,f324,f377,f321,f476,f464,f482,f495,f484,f481,f510,f511,f470,f467,f519,f520,f393,f390,f342,f381,f340,f378,f523,f526,f528,f330,f329,f356,f353,f225,f535,f197,f228,f538,f223,f222,f219,f368,f544,f546,f553,f549,f554,f218,f543,f579,f582,f583,f578,f599,f592,f608,f545,f621,f624,f577,f478,f479,f462,f461,f341,f327,f30,f5,f10,f15,f25,f20,f339,f809,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1215,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f35,f22,f17,f23,f18,f12,f13,f2351,f165,f9,f14,f19,f2581,f2584,f2587,f2588,f2303,f2591,f2595,f2300,f2586,f2583,f1216,f1232,f28,f27,f1478,f24,f32,f2740,f29,f8,f7,f2487,f376,f181,f168,f2497,f2494,f2493,f2485,f620,f810]) ).

fof(f2794,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2793]) ).

fof(f2793,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_12 ),
    inference(global_subsumption,[],[f237,f1,f2,f21,f3,f26,f16,f11,f6,f31,f39,f157,f159,f33,f171,f173,f176,f177,f178,f180,f193,f196,f184,f199,f186,f201,f188,f202,f189,f204,f185,f187,f215,f216,f195,f61,f324,f377,f321,f476,f464,f482,f495,f484,f481,f510,f511,f470,f467,f519,f520,f393,f390,f342,f381,f340,f378,f523,f526,f528,f330,f329,f356,f353,f225,f535,f197,f228,f538,f223,f222,f219,f368,f544,f546,f553,f549,f554,f218,f543,f579,f582,f583,f578,f599,f592,f608,f545,f621,f624,f577,f478,f479,f462,f461,f341,f327,f30,f5,f10,f15,f25,f20,f339,f809,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1215,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f35,f22,f17,f23,f18,f12,f13,f2351,f165,f9,f14,f19,f810,f2581,f2584,f2587,f2588,f2303,f2591,f2595,f2300,f2586,f2583,f1216,f1232,f28,f27,f1478,f24,f32,f2740,f29,f8,f7,f2487,f376,f181,f168,f2497,f2494,f2493,f2485,f620]) ).

fof(f237,plain,
    ( sk_c6 = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f230,f188]) ).

fof(f2792,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2791]) ).

fof(f2791,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_12 ),
    inference(global_subsumption,[],[f238,f1,f2,f21,f3,f26,f16,f11,f6,f31,f39,f157,f159,f33,f171,f173,f176,f177,f178,f180,f193,f196,f184,f199,f186,f201,f188,f202,f189,f204,f185,f187,f215,f216,f195,f61,f324,f377,f321,f476,f464,f482,f495,f484,f481,f510,f511,f470,f467,f519,f520,f393,f390,f342,f381,f340,f378,f523,f526,f528,f330,f329,f356,f353,f225,f535,f197,f228,f538,f223,f222,f219,f368,f544,f546,f553,f549,f554,f218,f543,f579,f582,f583,f578,f599,f592,f608,f545,f621,f624,f577,f478,f479,f462,f461,f341,f327,f30,f5,f10,f15,f25,f20,f339,f809,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1215,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f35,f22,f17,f23,f18,f12,f13,f2351,f165,f9,f14,f19,f810,f2581,f2584,f2587,f2588,f2303,f2591,f2595,f2300,f2586,f2583,f1216,f1232,f28,f27,f1478,f24,f32,f2740,f29,f8,f7,f2487,f376,f181,f168,f2497,f2494,f2493,f2485,f620]) ).

fof(f2790,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2789]) ).

fof(f2789,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_12 ),
    inference(global_subsumption,[],[f239,f1,f2,f21,f3,f26,f16,f11,f6,f31,f39,f157,f159,f33,f171,f173,f176,f177,f178,f180,f193,f196,f184,f199,f186,f201,f188,f202,f189,f204,f185,f187,f215,f216,f195,f61,f324,f377,f321,f476,f464,f482,f495,f484,f481,f510,f511,f470,f467,f519,f520,f393,f390,f342,f381,f340,f378,f523,f526,f528,f330,f329,f356,f353,f225,f535,f197,f228,f538,f223,f222,f219,f368,f544,f546,f553,f549,f554,f218,f543,f579,f582,f583,f578,f599,f592,f608,f545,f621,f624,f577,f478,f479,f462,f461,f341,f327,f30,f5,f10,f15,f25,f20,f339,f809,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1215,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f35,f22,f17,f23,f18,f12,f13,f2351,f165,f9,f14,f19,f810,f2581,f2584,f2587,f2588,f2303,f2591,f2595,f2300,f2586,f2583,f1216,f1232,f28,f27,f1478,f24,f32,f2740,f29,f8,f7,f2487,f376,f181,f168,f2497,f2494,f2493,f2485,f620]) ).

fof(f239,plain,
    ( identity = sk_c5
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f230,f186]) ).

fof(f2788,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2787]) ).

fof(f2787,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_12 ),
    inference(global_subsumption,[],[f240,f1,f2,f21,f3,f26,f16,f11,f6,f31,f39,f157,f159,f33,f171,f173,f176,f177,f178,f180,f193,f196,f184,f199,f186,f201,f188,f202,f189,f204,f185,f187,f215,f216,f195,f61,f324,f377,f321,f476,f464,f482,f495,f484,f481,f510,f511,f470,f467,f519,f520,f393,f390,f342,f381,f340,f378,f523,f526,f528,f330,f329,f356,f353,f225,f535,f197,f228,f538,f223,f222,f219,f368,f544,f546,f553,f549,f554,f218,f543,f579,f582,f583,f578,f599,f592,f608,f545,f621,f624,f577,f478,f479,f462,f461,f341,f327,f30,f5,f10,f15,f25,f20,f339,f809,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1215,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f35,f22,f17,f23,f18,f12,f13,f2351,f165,f9,f14,f19,f810,f2581,f2584,f2587,f2588,f2303,f2591,f2595,f2300,f2586,f2583,f1216,f1232,f28,f27,f1478,f24,f32,f2740,f29,f8,f7,f2487,f376,f181,f168,f2497,f2494,f2493,f2485,f620]) ).

fof(f240,plain,
    ( identity = sk_c1
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f230,f182]) ).

fof(f182,plain,
    ( identity = multiply(sk_c6,sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6 ),
    inference(superposition,[],[f45,f181]) ).

fof(f2786,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2785]) ).

fof(f2785,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f21,f3,f26,f16,f11,f6,f31,f39,f157,f159,f33,f171,f173,f176,f177,f178,f180,f193,f196,f184,f199,f186,f201,f188,f202,f189,f204,f185,f187,f215,f216,f195,f61,f324,f377,f321,f476,f464,f482,f495,f484,f481,f510,f511,f470,f467,f519,f520,f393,f390,f342,f381,f340,f378,f523,f526,f528,f330,f329,f356,f353,f225,f535,f197,f228,f538,f223,f222,f219,f368,f544,f546,f553,f549,f554,f218,f543,f579,f582,f583,f578,f599,f592,f608,f545,f621,f624,f577,f478,f479,f462,f461,f341,f327,f30,f5,f10,f15,f25,f20,f339,f809,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1215,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f35,f22,f17,f23,f18,f12,f13,f2351,f165,f9,f14,f19,f810,f2581,f2584,f2587,f2588,f2303,f2591,f2595,f2300,f2586,f2583,f1216,f1232,f28,f27,f1478,f24,f32,f2740,f29,f8,f7,f2487,f376,f181,f168,f2497,f2494,f2493,f2485,f620]) ).

fof(f2784,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2783]) ).

fof(f2783,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f21,f3,f26,f16,f11,f6,f31,f39,f157,f159,f33,f171,f173,f176,f177,f178,f180,f193,f196,f184,f199,f186,f201,f188,f202,f189,f204,f185,f187,f215,f216,f195,f61,f324,f377,f321,f476,f464,f482,f495,f484,f481,f510,f511,f470,f467,f519,f520,f393,f390,f342,f381,f340,f378,f523,f526,f528,f330,f329,f356,f353,f225,f535,f197,f228,f538,f223,f222,f219,f368,f544,f546,f553,f549,f554,f218,f543,f579,f582,f583,f578,f599,f592,f608,f545,f621,f624,f620,f577,f478,f479,f462,f461,f341,f327,f30,f5,f10,f15,f25,f20,f339,f809,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1215,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f35,f22,f17,f23,f18,f12,f13,f2351,f165,f9,f14,f19,f810,f2581,f2584,f2587,f2588,f2303,f2591,f2595,f2300,f2586,f2583,f1216,f1232,f28,f27,f1478,f24,f32,f2740,f29,f8,f7,f2487,f376,f181,f168,f2497,f2494,f2493,f2485]) ).

fof(f2782,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2781]) ).

fof(f2781,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f21,f3,f26,f16,f11,f6,f31,f39,f157,f159,f33,f171,f173,f176,f177,f178,f180,f193,f196,f184,f199,f186,f201,f188,f202,f189,f204,f185,f187,f215,f216,f195,f61,f324,f377,f321,f476,f464,f482,f495,f484,f481,f510,f511,f470,f467,f519,f520,f393,f390,f342,f381,f340,f378,f523,f526,f528,f330,f329,f356,f353,f225,f535,f197,f228,f538,f223,f222,f219,f368,f544,f546,f553,f549,f554,f218,f543,f579,f582,f583,f578,f599,f592,f608,f545,f621,f624,f620,f577,f478,f479,f462,f461,f341,f327,f30,f5,f10,f15,f25,f20,f339,f809,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1215,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f35,f2485,f22,f17,f23,f18,f12,f13,f2351,f165,f9,f14,f19,f810,f2581,f2584,f2587,f2588,f2303,f2591,f2595,f2300,f2586,f2583,f1216,f1232,f28,f27,f1478,f24,f32,f2740,f29,f8,f7,f2487,f376,f181,f168,f2497,f2494,f2493]) ).

fof(f2780,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2779]) ).

fof(f2779,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f21,f3,f26,f16,f11,f6,f31,f39,f157,f159,f33,f171,f173,f176,f177,f178,f180,f193,f196,f184,f199,f186,f201,f188,f202,f189,f204,f185,f187,f215,f216,f195,f61,f324,f377,f321,f476,f464,f482,f495,f484,f481,f510,f511,f470,f467,f519,f520,f393,f390,f342,f381,f340,f378,f523,f526,f528,f330,f329,f356,f353,f225,f535,f197,f228,f538,f223,f222,f219,f368,f544,f546,f553,f549,f554,f218,f543,f579,f582,f583,f578,f599,f592,f608,f545,f621,f624,f620,f577,f478,f479,f462,f461,f341,f327,f30,f5,f10,f15,f25,f20,f339,f809,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1215,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f35,f2485,f22,f17,f23,f2493,f18,f12,f13,f2351,f165,f9,f14,f19,f810,f2581,f2584,f2587,f2588,f2303,f2591,f2595,f2300,f2586,f2583,f1216,f1232,f28,f27,f1478,f24,f32,f2740,f29,f8,f7,f2487,f376,f181,f168,f2497,f2494]) ).

fof(f2778,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2777]) ).

fof(f2777,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f21,f3,f26,f16,f11,f6,f31,f39,f157,f159,f33,f171,f173,f176,f177,f178,f180,f193,f196,f184,f199,f186,f201,f188,f202,f189,f204,f185,f187,f215,f216,f195,f61,f324,f377,f321,f476,f464,f482,f495,f484,f481,f510,f511,f470,f467,f519,f520,f393,f390,f342,f381,f340,f378,f523,f526,f528,f330,f329,f356,f353,f225,f535,f197,f228,f538,f223,f222,f219,f368,f544,f546,f553,f549,f554,f218,f543,f579,f582,f583,f578,f599,f592,f608,f545,f621,f624,f620,f577,f478,f479,f462,f461,f341,f327,f30,f5,f10,f15,f25,f20,f339,f809,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1215,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f35,f2485,f22,f17,f23,f2493,f18,f2494,f12,f13,f2351,f165,f9,f14,f19,f810,f2581,f2584,f2587,f2588,f2303,f2591,f2595,f2300,f2586,f2583,f1216,f1232,f28,f27,f1478,f24,f32,f2740,f29,f8,f7,f2487,f376,f181,f168,f2497]) ).

fof(f2776,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2775]) ).

fof(f2775,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f21,f3,f26,f16,f11,f6,f31,f39,f157,f159,f33,f171,f173,f176,f177,f178,f180,f193,f196,f184,f199,f186,f201,f188,f202,f189,f204,f185,f187,f215,f216,f195,f61,f324,f377,f321,f476,f464,f482,f495,f484,f481,f510,f511,f470,f467,f519,f520,f393,f390,f342,f381,f340,f378,f523,f526,f528,f330,f329,f356,f353,f225,f535,f197,f228,f538,f223,f222,f219,f368,f544,f546,f553,f549,f554,f218,f543,f579,f582,f583,f578,f599,f592,f608,f545,f621,f624,f620,f577,f478,f479,f462,f461,f341,f327,f30,f5,f10,f15,f25,f20,f339,f809,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1215,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f35,f2485,f22,f17,f23,f2493,f18,f2494,f12,f13,f2497,f2351,f165,f9,f14,f19,f810,f2581,f2584,f2587,f2588,f2303,f2591,f2595,f2300,f2586,f2583,f1216,f1232,f28,f27,f1478,f24,f32,f2740,f29,f8,f7,f2487,f376,f181,f168]) ).

fof(f2774,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2773]) ).

fof(f2773,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f21,f3,f26,f16,f11,f6,f31,f39,f157,f159,f33,f168,f171,f173,f176,f177,f178,f180,f193,f196,f184,f199,f186,f201,f188,f202,f189,f204,f185,f187,f215,f216,f195,f61,f324,f377,f321,f476,f464,f482,f495,f484,f481,f510,f511,f470,f467,f519,f520,f393,f390,f342,f381,f340,f378,f523,f526,f528,f330,f329,f356,f353,f225,f535,f197,f228,f538,f223,f222,f219,f368,f544,f546,f553,f549,f554,f218,f543,f579,f582,f583,f578,f599,f592,f608,f545,f621,f624,f620,f577,f478,f479,f462,f461,f341,f327,f30,f5,f10,f15,f25,f20,f339,f809,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1215,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f35,f2485,f22,f17,f23,f2493,f18,f2494,f12,f13,f2497,f2351,f165,f9,f14,f19,f810,f2581,f2584,f2587,f2588,f2303,f2591,f2595,f2300,f2586,f2583,f1216,f1232,f28,f27,f1478,f24,f32,f2740,f29,f8,f7,f2487,f376,f181]) ).

fof(f2772,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2771]) ).

fof(f2771,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f21,f3,f26,f16,f11,f6,f31,f39,f157,f159,f33,f168,f171,f173,f176,f177,f178,f180,f181,f193,f196,f184,f199,f186,f201,f188,f202,f189,f204,f185,f187,f215,f216,f195,f61,f324,f377,f321,f476,f464,f482,f495,f484,f481,f510,f511,f470,f467,f519,f520,f393,f390,f342,f381,f340,f378,f523,f526,f528,f330,f329,f356,f353,f225,f535,f197,f228,f538,f223,f222,f219,f368,f544,f546,f553,f549,f554,f218,f543,f579,f582,f583,f578,f599,f592,f608,f545,f621,f624,f620,f577,f478,f479,f462,f461,f341,f327,f30,f5,f10,f15,f25,f20,f339,f809,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1215,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f35,f2485,f22,f17,f23,f2493,f18,f2494,f12,f13,f2497,f2351,f165,f9,f14,f19,f810,f2581,f2584,f2587,f2588,f2303,f2591,f2595,f2300,f2586,f2583,f1216,f1232,f28,f27,f1478,f24,f32,f2740,f29,f8,f7,f2487,f376]) ).

fof(f2770,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | ~ spl0_9
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2769]) ).

fof(f2769,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | ~ spl0_9
    | spl0_12 ),
    inference(global_subsumption,[],[f823,f1,f2,f21,f3,f26,f16,f11,f6,f31,f39,f157,f159,f33,f168,f171,f173,f176,f177,f178,f180,f181,f193,f196,f184,f199,f186,f201,f188,f202,f189,f204,f185,f187,f215,f216,f195,f61,f324,f377,f376,f321,f476,f464,f482,f495,f484,f481,f510,f511,f470,f467,f519,f520,f393,f390,f342,f381,f340,f378,f523,f526,f528,f330,f329,f356,f353,f225,f535,f197,f228,f538,f223,f222,f219,f368,f544,f546,f553,f549,f554,f218,f543,f579,f582,f583,f578,f599,f592,f608,f545,f621,f624,f620,f577,f478,f479,f462,f461,f341,f327,f30,f5,f10,f15,f25,f20,f339,f809,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1215,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f35,f2485,f22,f17,f23,f2493,f18,f2494,f12,f13,f2497,f2351,f165,f9,f14,f19,f810,f2581,f2584,f2587,f2588,f2303,f2591,f2595,f2300,f2586,f2583,f1216,f1232,f28,f27,f1478,f24,f32,f2740,f29,f8,f7,f2487]) ).

fof(f2768,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2767]) ).

fof(f2767,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f21,f3,f26,f16,f11,f6,f31,f39,f157,f159,f33,f168,f171,f173,f176,f177,f178,f180,f181,f193,f196,f184,f199,f186,f201,f188,f202,f189,f204,f185,f187,f215,f216,f195,f61,f324,f377,f376,f321,f476,f464,f482,f495,f484,f481,f510,f511,f470,f467,f519,f520,f393,f390,f342,f381,f340,f378,f523,f526,f528,f330,f329,f356,f353,f225,f535,f197,f228,f538,f223,f222,f219,f368,f544,f546,f553,f549,f554,f218,f543,f579,f582,f583,f578,f599,f592,f608,f545,f621,f624,f620,f577,f478,f479,f462,f461,f341,f327,f30,f5,f10,f15,f25,f20,f339,f809,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1215,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f35,f2485,f22,f17,f23,f2493,f18,f2494,f12,f13,f2497,f2351,f165,f9,f14,f19,f810,f2581,f2584,f2587,f2588,f2303,f2591,f2595,f2300,f2586,f2583,f1216,f1232,f28,f27,f1478,f24,f32,f2740,f29,f8,f7,f2487]) ).

fof(f2764,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2763]) ).

fof(f2763,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f2762,f1,f2,f21,f3,f26,f16,f11,f6,f31,f39,f157,f159,f33,f168,f171,f173,f176,f177,f178,f180,f181,f193,f196,f184,f199,f186,f201,f188,f202,f189,f204,f185,f187,f215,f216,f195,f61,f324,f377,f376,f321,f476,f464,f482,f495,f484,f481,f510,f511,f470,f467,f519,f520,f393,f390,f342,f381,f340,f378,f523,f526,f528,f330,f329,f356,f353,f225,f535,f197,f228,f538,f223,f222,f219,f368,f544,f546,f553,f549,f554,f218,f543,f579,f582,f583,f578,f599,f592,f608,f545,f621,f624,f620,f577,f478,f479,f462,f461,f341,f327,f30,f5,f10,f15,f25,f20,f339,f809,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1215,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f35,f2485,f22,f17,f23,f2493,f18,f2494,f12,f13,f2497,f2351,f165,f9,f14,f19,f810,f2581,f2584,f2587,f2588,f2303,f2591,f2487,f2595,f2300,f2586,f2583,f1216,f1232,f28,f27,f1478,f24,f32,f2740,f29,f8,f7]) ).

fof(f2762,plain,
    ( sk_c8 = sk_c7
    | identity = sk_c7
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2761,f859]) ).

fof(f2761,plain,
    ( sk_c7 = multiply(sk_c8,identity)
    | identity = sk_c7
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1216,f1229]) ).

fof(f2760,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | ~ spl0_10
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2759]) ).

fof(f2759,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | ~ spl0_10
    | spl0_12 ),
    inference(global_subsumption,[],[f827,f1,f2,f21,f3,f26,f16,f11,f6,f31,f39,f157,f159,f33,f168,f171,f173,f176,f177,f178,f180,f181,f193,f196,f184,f199,f186,f201,f188,f202,f189,f204,f185,f187,f215,f216,f195,f61,f324,f377,f376,f321,f476,f464,f482,f495,f484,f481,f510,f511,f470,f467,f519,f520,f393,f390,f342,f381,f340,f378,f523,f526,f528,f330,f329,f356,f353,f225,f535,f197,f228,f538,f223,f222,f219,f368,f544,f546,f553,f549,f554,f218,f543,f579,f582,f583,f578,f599,f592,f608,f545,f621,f624,f620,f577,f478,f479,f462,f461,f341,f327,f30,f5,f10,f15,f25,f20,f339,f809,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1215,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f35,f2485,f22,f17,f23,f2493,f18,f2494,f12,f13,f2497,f2351,f165,f9,f14,f19,f810,f2581,f2584,f2587,f2588,f2303,f2591,f2487,f2595,f2300,f2586,f2583,f1216,f1232,f28,f27,f1478,f24,f32,f2740,f29,f8,f7]) ).

fof(f2758,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | ~ spl0_10
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2757]) ).

fof(f2757,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | ~ spl0_10
    | spl0_12 ),
    inference(global_subsumption,[],[f2498,f1,f2,f21,f3,f26,f16,f11,f6,f31,f39,f157,f159,f33,f168,f171,f173,f176,f177,f178,f180,f181,f193,f196,f184,f199,f186,f201,f188,f202,f189,f204,f185,f187,f215,f216,f195,f61,f324,f377,f376,f321,f476,f464,f482,f495,f484,f481,f510,f511,f470,f467,f519,f520,f393,f390,f342,f381,f340,f378,f523,f526,f528,f330,f329,f356,f353,f225,f535,f197,f228,f538,f223,f222,f219,f368,f544,f546,f553,f549,f554,f218,f543,f579,f582,f583,f578,f599,f592,f608,f545,f621,f624,f620,f577,f478,f479,f462,f461,f341,f327,f30,f5,f10,f15,f25,f20,f339,f809,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1215,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f35,f2485,f22,f17,f23,f2493,f18,f2494,f12,f13,f2497,f2351,f165,f9,f14,f19,f810,f2581,f2584,f2587,f2588,f2303,f2591,f2487,f2595,f2300,f2586,f2583,f1216,f1232,f28,f27,f1478,f24,f32,f2740,f29,f8,f7]) ).

fof(f2498,plain,
    ( sk_c6 = multiply(sk_c8,sk_c7)
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f21,f3,f28,f26,f16,f11,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f32,f30,f29,f5,f10,f15,f24,f25,f27,f20,f4,f827,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f1220,f19,f14,f35,f2484,f8,f7,f22,f17,f23,f18,f12,f13,f9]) ).

fof(f2484,plain,
    ( ! [X6,X7,X4,X5] :
        ( sk_c6 != inverse(X5)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X6)
        | sk_c8 != inverse(X4)
        | sk_c7 != multiply(X6,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
        | sk_c6 != multiply(X7,sk_c8)
        | sk_c8 != multiply(X5,sk_c6)
        | multiply(sk_c6,sk_c8) != sk_c7 )
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f21,f3,f28,f26,f16,f11,f8,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f32,f30,f29,f5,f7,f10,f15,f24,f25,f27,f20,f4,f827,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f1220,f19,f14,f9,f13,f12,f18,f23,f17,f22,f35]) ).

fof(f1220,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c8,multiply(sk_c7,X0))
    | ~ spl0_10 ),
    inference(superposition,[],[f3,f827]) ).

fof(f2756,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | ~ spl0_10
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2755]) ).

fof(f2755,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | ~ spl0_10
    | spl0_12 ),
    inference(global_subsumption,[],[f2500,f1,f2,f21,f3,f26,f16,f11,f6,f31,f39,f157,f159,f33,f168,f171,f173,f176,f177,f178,f180,f181,f193,f196,f184,f199,f186,f201,f188,f202,f189,f204,f185,f187,f215,f216,f195,f61,f324,f377,f376,f321,f476,f464,f482,f495,f484,f481,f510,f511,f470,f467,f519,f520,f393,f390,f342,f381,f340,f378,f523,f526,f528,f330,f329,f356,f353,f225,f535,f197,f228,f538,f223,f222,f219,f368,f544,f546,f553,f549,f554,f218,f543,f579,f582,f583,f578,f599,f592,f608,f545,f621,f624,f620,f577,f478,f479,f462,f461,f341,f327,f30,f5,f10,f15,f25,f20,f339,f809,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1215,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f35,f2485,f22,f17,f23,f2493,f18,f2494,f12,f13,f2497,f2351,f165,f9,f14,f19,f810,f2581,f2584,f2587,f2588,f2303,f2591,f2487,f2595,f2300,f2586,f2583,f1216,f1232,f28,f27,f1478,f24,f32,f2740,f29,f8,f7]) ).

fof(f2500,plain,
    ( sk_c6 = multiply(sk_c8,sk_c7)
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f21,f3,f28,f26,f16,f11,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f32,f30,f29,f5,f10,f15,f24,f25,f27,f20,f4,f827,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f1220,f19,f35,f2484,f8,f7,f22,f17,f23,f18,f12,f13,f9,f2498,f14]) ).

fof(f2754,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | ~ spl0_10
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2753]) ).

fof(f2753,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | ~ spl0_10
    | spl0_12 ),
    inference(global_subsumption,[],[f2501,f1,f2,f21,f3,f26,f16,f11,f6,f31,f39,f157,f159,f33,f168,f171,f173,f176,f177,f178,f180,f181,f193,f196,f184,f199,f186,f201,f188,f202,f189,f204,f185,f187,f215,f216,f195,f61,f324,f377,f376,f321,f476,f464,f482,f495,f484,f481,f510,f511,f470,f467,f519,f520,f393,f390,f342,f381,f340,f378,f523,f526,f528,f330,f329,f356,f353,f225,f535,f197,f228,f538,f223,f222,f219,f368,f544,f546,f553,f549,f554,f218,f543,f579,f582,f583,f578,f599,f592,f608,f545,f621,f624,f620,f577,f478,f479,f462,f461,f341,f327,f30,f5,f10,f15,f25,f20,f339,f809,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1215,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f35,f2485,f22,f17,f23,f2493,f18,f2494,f12,f13,f2497,f2351,f165,f9,f14,f19,f810,f2581,f2584,f2587,f2588,f2303,f2591,f2487,f2595,f2300,f2586,f2583,f1216,f1232,f28,f27,f1478,f24,f32,f2740,f29,f8,f7]) ).

fof(f2501,plain,
    ( sk_c6 = multiply(sk_c8,sk_c7)
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f21,f3,f28,f26,f16,f11,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f32,f30,f29,f5,f10,f15,f24,f25,f27,f20,f4,f827,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f1220,f35,f2484,f8,f7,f22,f17,f23,f18,f12,f13,f9,f2498,f14,f2500,f19]) ).

fof(f2752,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2751]) ).

fof(f2751,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f21,f3,f26,f16,f11,f6,f31,f39,f157,f159,f33,f168,f171,f173,f176,f177,f178,f180,f181,f193,f196,f184,f199,f186,f201,f188,f202,f189,f204,f185,f187,f215,f216,f195,f61,f324,f377,f376,f321,f476,f464,f482,f495,f484,f481,f510,f511,f470,f467,f519,f520,f393,f390,f342,f381,f340,f378,f523,f526,f528,f330,f329,f356,f353,f225,f535,f197,f228,f538,f223,f222,f219,f368,f544,f546,f553,f549,f554,f218,f543,f579,f582,f583,f578,f599,f592,f608,f545,f621,f624,f620,f577,f478,f479,f462,f461,f341,f327,f30,f5,f10,f15,f25,f20,f339,f809,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1215,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f35,f2485,f22,f17,f23,f2493,f18,f2494,f12,f13,f2497,f2351,f165,f9,f14,f19,f810,f2581,f2584,f2587,f2588,f2303,f2591,f2487,f2595,f2300,f2586,f2583,f1216,f1232,f28,f27,f1478,f24,f32,f2740,f29,f8,f7]) ).

fof(f2750,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2749]) ).

fof(f2749,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f2691,f1,f2,f21,f3,f26,f16,f11,f6,f31,f39,f157,f159,f33,f168,f171,f173,f176,f177,f178,f180,f181,f193,f196,f184,f199,f186,f201,f188,f202,f189,f204,f185,f187,f215,f216,f195,f61,f324,f377,f376,f321,f476,f464,f482,f495,f484,f481,f510,f511,f470,f467,f519,f520,f393,f390,f342,f381,f340,f378,f523,f526,f528,f330,f329,f356,f353,f225,f535,f197,f228,f538,f223,f222,f219,f368,f544,f546,f553,f549,f554,f218,f543,f579,f582,f583,f578,f599,f592,f608,f545,f621,f624,f620,f577,f478,f479,f462,f461,f341,f327,f30,f5,f10,f15,f25,f20,f339,f809,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1215,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f35,f2485,f7,f22,f17,f23,f2493,f18,f2494,f12,f13,f2497,f2351,f165,f9,f14,f19,f810,f2581,f2584,f2587,f2588,f2303,f2591,f2487,f2595,f2300,f2586,f2583,f1216,f1232,f28,f27,f1478,f24,f32,f2740,f29,f8]) ).

fof(f2691,plain,
    ( sk_c8 = sk_c7
    | sk_c6 = multiply(sk_c5,sk_c8)
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2690,f859]) ).

fof(f2690,plain,
    ( sk_c7 = multiply(sk_c8,identity)
    | sk_c6 = multiply(sk_c5,sk_c8)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f12,f1229]) ).

fof(f2748,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2747]) ).

fof(f2747,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f2696,f1,f2,f21,f3,f26,f16,f11,f6,f31,f39,f157,f159,f33,f168,f171,f173,f176,f177,f178,f180,f181,f193,f196,f184,f199,f186,f201,f188,f202,f189,f204,f185,f187,f215,f216,f195,f61,f324,f377,f376,f321,f476,f464,f482,f495,f484,f481,f510,f511,f470,f467,f519,f520,f393,f390,f342,f381,f340,f378,f523,f526,f528,f330,f329,f356,f353,f225,f535,f197,f228,f538,f223,f222,f219,f368,f544,f546,f553,f549,f554,f218,f543,f579,f582,f583,f578,f599,f592,f608,f545,f621,f624,f620,f577,f478,f479,f462,f461,f341,f327,f30,f5,f10,f15,f25,f20,f339,f809,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1215,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f35,f2485,f7,f22,f17,f23,f2493,f18,f2494,f12,f13,f2497,f2351,f165,f9,f14,f19,f810,f2581,f2584,f2587,f2588,f2303,f2591,f2487,f2595,f2300,f2586,f2583,f1216,f1232,f28,f27,f1478,f24,f32,f2740,f29,f8]) ).

fof(f2696,plain,
    ( sk_c8 = sk_c7
    | sk_c8 = inverse(sk_c5)
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2695,f859]) ).

fof(f2695,plain,
    ( sk_c7 = multiply(sk_c8,identity)
    | sk_c8 = inverse(sk_c5)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f13,f1229]) ).

fof(f2746,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2745]) ).

fof(f2745,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f21,f3,f26,f16,f11,f6,f31,f39,f157,f159,f33,f168,f171,f173,f176,f177,f178,f180,f181,f193,f196,f184,f199,f186,f201,f188,f202,f189,f204,f185,f187,f215,f216,f195,f61,f324,f377,f376,f321,f476,f464,f482,f495,f484,f481,f510,f511,f470,f467,f519,f520,f393,f390,f342,f381,f340,f378,f523,f526,f528,f330,f329,f356,f353,f225,f535,f197,f228,f538,f223,f222,f219,f368,f544,f546,f553,f549,f554,f218,f543,f579,f582,f583,f578,f599,f592,f608,f545,f621,f624,f620,f577,f478,f479,f462,f461,f341,f327,f30,f5,f10,f15,f25,f20,f339,f809,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1215,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f35,f2485,f7,f22,f17,f23,f2493,f18,f2494,f12,f13,f2497,f2351,f165,f9,f14,f19,f810,f2581,f2584,f2587,f2588,f2303,f2591,f2487,f2595,f2300,f2586,f2583,f1216,f1232,f28,f27,f1478,f24,f32,f2740,f29,f8]) ).

fof(f2744,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2743]) ).

fof(f2743,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f21,f3,f26,f16,f11,f6,f31,f39,f157,f159,f33,f168,f171,f173,f176,f177,f178,f180,f181,f193,f196,f184,f199,f186,f201,f188,f202,f189,f204,f185,f187,f215,f216,f195,f61,f324,f377,f376,f321,f476,f464,f482,f495,f484,f481,f510,f511,f470,f467,f519,f520,f393,f390,f342,f381,f340,f378,f523,f526,f528,f330,f329,f356,f353,f225,f535,f197,f228,f538,f223,f222,f219,f368,f544,f546,f553,f549,f554,f218,f543,f579,f582,f583,f578,f599,f592,f608,f545,f621,f624,f620,f577,f478,f479,f462,f461,f341,f327,f30,f5,f10,f15,f25,f20,f339,f809,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1215,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f35,f8,f2485,f7,f22,f17,f23,f2493,f18,f2494,f12,f13,f2497,f2351,f165,f9,f14,f19,f810,f2581,f2584,f2587,f2588,f2303,f2591,f2487,f2595,f2300,f2586,f2583,f1216,f1232,f28,f27,f1478,f24,f32,f2740,f29]) ).

fof(f2742,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2741]) ).

fof(f2741,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f21,f3,f26,f16,f11,f6,f31,f39,f157,f159,f33,f168,f171,f173,f176,f177,f178,f180,f181,f193,f196,f184,f199,f186,f201,f188,f202,f189,f204,f185,f187,f215,f216,f195,f61,f324,f377,f376,f321,f476,f464,f482,f495,f484,f481,f510,f511,f470,f467,f519,f520,f393,f390,f342,f381,f340,f378,f523,f526,f528,f330,f329,f356,f353,f225,f535,f197,f228,f538,f223,f222,f219,f368,f544,f546,f553,f549,f554,f218,f543,f579,f582,f583,f578,f599,f592,f608,f545,f621,f624,f620,f577,f478,f479,f462,f461,f341,f327,f30,f29,f5,f10,f15,f25,f20,f339,f809,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1215,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f35,f8,f2485,f7,f22,f17,f23,f2493,f18,f2494,f12,f13,f2497,f2351,f165,f9,f14,f19,f810,f2581,f2584,f2587,f2588,f2303,f2591,f2487,f2595,f2300,f2586,f2583,f1216,f1232,f28,f27,f1478,f24,f32,f2740]) ).

fof(f2739,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2738]) ).

fof(f2738,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f21,f3,f26,f16,f11,f6,f31,f39,f157,f159,f33,f168,f171,f173,f176,f177,f178,f180,f181,f193,f196,f184,f199,f186,f201,f188,f202,f189,f204,f185,f187,f215,f216,f195,f61,f324,f377,f376,f321,f476,f464,f482,f495,f484,f481,f510,f511,f470,f467,f519,f520,f393,f390,f342,f381,f340,f378,f523,f526,f528,f330,f329,f356,f353,f225,f535,f197,f228,f538,f223,f222,f219,f368,f544,f546,f553,f549,f554,f218,f543,f579,f582,f583,f578,f599,f592,f608,f545,f621,f624,f620,f577,f478,f479,f462,f461,f341,f327,f30,f29,f5,f10,f15,f25,f20,f339,f809,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1215,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f35,f8,f2485,f7,f22,f17,f23,f2493,f18,f2494,f12,f13,f2497,f2351,f165,f9,f14,f19,f810,f2581,f2584,f2587,f2588,f2303,f2591,f2487,f2595,f2300,f2586,f2583,f1216,f1232,f28,f27,f1478,f24,f32]) ).

fof(f2737,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2736]) ).

fof(f2736,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f21,f3,f26,f16,f11,f6,f31,f39,f157,f159,f33,f168,f171,f173,f176,f177,f178,f180,f181,f193,f196,f184,f199,f186,f201,f188,f202,f189,f204,f185,f187,f215,f216,f195,f61,f324,f377,f376,f321,f476,f464,f482,f495,f484,f481,f510,f511,f470,f467,f519,f520,f393,f390,f342,f381,f340,f378,f523,f526,f528,f330,f329,f356,f353,f225,f535,f197,f228,f538,f223,f222,f219,f368,f544,f546,f553,f549,f554,f218,f543,f579,f582,f583,f578,f599,f592,f608,f545,f621,f624,f620,f577,f478,f479,f462,f461,f341,f327,f32,f30,f29,f5,f10,f15,f25,f20,f339,f809,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1215,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f35,f8,f2485,f7,f22,f17,f23,f2493,f18,f2494,f12,f13,f2497,f2351,f165,f9,f14,f19,f810,f2581,f2584,f2587,f2588,f2303,f2591,f2487,f2595,f2300,f2586,f2583,f1216,f1232,f28,f27,f1478,f24]) ).

fof(f2735,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2734]) ).

fof(f2734,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f21,f3,f26,f16,f11,f6,f31,f39,f157,f159,f33,f168,f171,f173,f176,f177,f178,f180,f181,f193,f196,f184,f199,f186,f201,f188,f202,f189,f204,f185,f187,f215,f216,f195,f61,f324,f377,f376,f321,f476,f464,f482,f495,f484,f481,f510,f511,f470,f467,f519,f520,f393,f390,f342,f381,f340,f378,f523,f526,f528,f330,f329,f356,f353,f225,f535,f197,f228,f538,f223,f222,f219,f368,f544,f546,f553,f549,f554,f218,f543,f579,f582,f583,f578,f599,f592,f608,f545,f621,f624,f620,f577,f478,f479,f462,f461,f341,f327,f32,f30,f29,f5,f10,f15,f24,f25,f20,f339,f809,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1215,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f35,f8,f2485,f7,f22,f17,f23,f2493,f18,f2494,f12,f13,f2497,f2351,f165,f9,f14,f19,f810,f2581,f2584,f2587,f2588,f2303,f2591,f2487,f2595,f2300,f2586,f2583,f1216,f1232,f28,f27,f1478]) ).

fof(f2733,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2732]) ).

fof(f2732,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f21,f3,f26,f16,f11,f6,f31,f39,f157,f159,f33,f168,f171,f173,f176,f177,f178,f180,f181,f193,f196,f184,f199,f186,f201,f188,f202,f189,f204,f185,f187,f215,f216,f195,f61,f324,f377,f376,f321,f476,f464,f482,f495,f484,f481,f510,f511,f470,f467,f519,f520,f393,f390,f342,f381,f340,f378,f523,f526,f528,f330,f329,f356,f353,f225,f535,f197,f228,f538,f223,f222,f219,f368,f544,f546,f553,f549,f554,f218,f543,f579,f582,f583,f578,f599,f592,f608,f545,f621,f624,f620,f577,f478,f479,f462,f461,f341,f327,f32,f30,f29,f5,f10,f15,f24,f25,f20,f339,f809,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1215,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f35,f8,f2485,f7,f22,f17,f23,f2493,f18,f2494,f12,f13,f2497,f2351,f165,f9,f14,f19,f810,f2581,f2584,f2587,f2588,f2303,f2591,f2487,f2595,f2300,f2586,f2583,f1216,f1232,f28,f27]) ).

fof(f2731,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2730]) ).

fof(f2730,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f21,f3,f26,f16,f11,f6,f31,f39,f157,f159,f33,f168,f171,f173,f176,f177,f178,f180,f181,f193,f196,f184,f199,f186,f201,f188,f202,f189,f204,f185,f187,f215,f216,f195,f61,f324,f377,f376,f321,f476,f464,f482,f495,f484,f481,f510,f511,f470,f467,f519,f520,f393,f390,f342,f381,f340,f378,f523,f526,f528,f330,f329,f356,f353,f225,f535,f197,f228,f538,f223,f222,f219,f368,f544,f546,f553,f549,f554,f218,f543,f579,f582,f583,f578,f599,f592,f608,f545,f621,f624,f620,f577,f478,f479,f462,f461,f341,f327,f32,f30,f29,f5,f10,f15,f24,f25,f27,f20,f339,f809,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1215,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f35,f8,f2485,f7,f22,f17,f23,f2493,f18,f2494,f12,f13,f2497,f2351,f165,f9,f14,f19,f810,f2581,f2584,f2587,f2588,f2303,f2591,f2487,f2595,f2300,f2586,f2583,f1216,f1232,f28]) ).

fof(f2729,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2728]) ).

fof(f2728,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f21,f3,f28,f26,f16,f11,f6,f31,f39,f157,f159,f33,f168,f171,f173,f176,f177,f178,f180,f181,f193,f196,f184,f199,f186,f201,f188,f202,f189,f204,f185,f187,f215,f216,f195,f61,f324,f377,f376,f321,f476,f464,f482,f495,f484,f481,f510,f511,f470,f467,f519,f520,f393,f390,f342,f381,f340,f378,f523,f526,f528,f330,f329,f356,f353,f225,f535,f197,f228,f538,f223,f222,f219,f368,f544,f546,f553,f549,f554,f218,f543,f579,f582,f583,f578,f599,f592,f608,f545,f621,f624,f620,f577,f478,f479,f462,f461,f341,f327,f32,f30,f29,f5,f10,f15,f24,f25,f27,f20,f339,f809,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1215,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f35,f8,f2485,f7,f22,f17,f23,f2493,f18,f2494,f12,f13,f2497,f2351,f165,f9,f14,f19,f810,f2581,f2584,f2587,f2588,f2303,f2591,f2487,f2595,f2300,f2586,f2583,f1216,f1232]) ).

fof(f2727,plain,
    ( spl0_5
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2726]) ).

fof(f2726,plain,
    ( $false
    | spl0_5
    | spl0_9 ),
    inference(global_subsumption,[],[f1,f2,f21,f3,f28,f26,f16,f11,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f32,f30,f29,f5,f10,f15,f24,f25,f27,f20,f4,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f2259,f2292,f2295,f35,f8,f7,f22,f17,f23,f18,f12,f13,f9,f14,f19,f822,f164]) ).

fof(f164,plain,
    ( sk_c8 != inverse(sk_c5)
    | spl0_5 ),
    inference(avatar_component_clause,[],[f163]) ).

fof(f2295,plain,
    ( sk_c8 = inverse(sk_c1)
    | spl0_5 ),
    inference(subsumption_resolution,[],[f23,f164]) ).

fof(f2292,plain,
    ( sk_c2 = multiply(sk_c1,sk_c8)
    | spl0_5 ),
    inference(subsumption_resolution,[],[f18,f164]) ).

fof(f2259,plain,
    ( sk_c7 = multiply(sk_c8,sk_c2)
    | spl0_5 ),
    inference(subsumption_resolution,[],[f13,f164]) ).

fof(f2725,plain,
    ( ~ spl0_1
    | spl0_5
    | spl0_9
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2724]) ).

fof(f2724,plain,
    ( $false
    | ~ spl0_1
    | spl0_5
    | spl0_9
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f2723,f1,f2,f21,f3,f28,f26,f16,f11,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f32,f30,f29,f5,f10,f15,f24,f25,f27,f20,f4,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f164,f2259,f2292,f2295,f35,f8,f7,f22,f17,f23,f18,f12,f13,f9,f14,f19,f822]) ).

fof(f2723,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | spl0_5
    | spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2236,f2593]) ).

fof(f2593,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | spl0_9 ),
    inference(global_subsumption,[],[f1,f2,f21,f3,f28,f26,f16,f11,f6,f31,f39,f157,f159,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f478,f461,f32,f30,f29,f5,f10,f15,f24,f25,f27,f20,f339,f809,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f35,f8,f7,f22,f17,f23,f18,f12,f13,f9,f14,f19,f822,f1216,f2300,f2303,f2487]) ).

fof(f2236,plain,
    ( sk_c8 = sk_c7
    | ~ spl0_1
    | spl0_5
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f23,f1,f2,f21,f3,f28,f26,f18,f16,f13,f11,f8,f6,f31,f39,f157,f159,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f478,f461,f32,f30,f29,f5,f7,f10,f12,f14,f15,f17,f24,f25,f35,f27,f22,f20,f19,f339,f809,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1216,f9,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f1229,f2230,f2235,f164,f1920]) ).

fof(f2235,plain,
    ( sk_c8 = sk_c7
    | sk_c8 = inverse(sk_c5)
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2234,f859]) ).

fof(f2234,plain,
    ( sk_c7 = multiply(sk_c8,identity)
    | sk_c8 = inverse(sk_c5)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f13,f1229]) ).

fof(f2230,plain,
    ( sk_c8 = sk_c7
    | sk_c6 = multiply(sk_c5,sk_c8)
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2229,f859]) ).

fof(f2229,plain,
    ( sk_c7 = multiply(sk_c8,identity)
    | sk_c6 = multiply(sk_c5,sk_c8)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f12,f1229]) ).

fof(f2722,plain,
    ( ~ spl0_1
    | spl0_5
    | spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2721]) ).

fof(f2721,plain,
    ( $false
    | ~ spl0_1
    | spl0_5
    | spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f2237,f1,f2,f21,f3,f28,f26,f16,f11,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f32,f30,f29,f5,f10,f15,f24,f25,f27,f20,f4,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f164,f2259,f2292,f2295,f35,f8,f7,f22,f17,f23,f18,f12,f13,f9,f14,f19,f822]) ).

fof(f2237,plain,
    ( sk_c6 = multiply(sk_c8,sk_c8)
    | ~ spl0_1
    | spl0_5
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(superposition,[],[f827,f2236]) ).

fof(f2719,plain,
    ( spl0_5
    | spl0_9
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2718]) ).

fof(f2718,plain,
    ( $false
    | spl0_5
    | spl0_9
    | spl0_12 ),
    inference(global_subsumption,[],[f1232,f1,f2,f21,f3,f28,f26,f16,f11,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f32,f30,f29,f5,f10,f15,f24,f25,f27,f20,f4,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f164,f2259,f2292,f2295,f35,f8,f7,f22,f17,f23,f18,f12,f13,f9,f14,f19,f822]) ).

fof(f2717,plain,
    ( ~ spl0_1
    | spl0_5
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2716]) ).

fof(f2716,plain,
    ( $false
    | ~ spl0_1
    | spl0_5
    | spl0_9 ),
    inference(global_subsumption,[],[f2654,f1,f2,f21,f3,f28,f26,f16,f11,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f32,f30,f29,f5,f10,f15,f24,f25,f27,f20,f4,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f164,f2259,f2292,f2295,f35,f8,f7,f22,f17,f23,f18,f12,f13,f9,f14,f19,f822]) ).

fof(f2654,plain,
    ( identity != multiply(sk_c6,sk_c8)
    | ~ spl0_1
    | spl0_9 ),
    inference(forward_demodulation,[],[f822,f2593]) ).

fof(f2715,plain,
    ( ~ spl0_1
    | spl0_5
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2714]) ).

fof(f2714,plain,
    ( $false
    | ~ spl0_1
    | spl0_5
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f2656,f1,f2,f21,f3,f28,f26,f16,f11,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f32,f30,f29,f5,f10,f15,f24,f25,f27,f20,f4,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f164,f2259,f2292,f2295,f35,f8,f7,f22,f17,f23,f18,f12,f13,f9,f14,f19,f822]) ).

fof(f2656,plain,
    ( sk_c6 = multiply(sk_c8,identity)
    | ~ spl0_1
    | spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f827,f2593]) ).

fof(f2713,plain,
    ( ~ spl0_1
    | spl0_5
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2712]) ).

fof(f2712,plain,
    ( $false
    | ~ spl0_1
    | spl0_5
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f2658,f1,f2,f21,f3,f28,f26,f16,f11,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f32,f30,f29,f5,f10,f15,f24,f25,f27,f20,f4,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f164,f2259,f2292,f2295,f35,f8,f7,f22,f17,f23,f18,f12,f13,f9,f14,f19,f822]) ).

fof(f2658,plain,
    ( sk_c6 = multiply(sk_c8,identity)
    | ~ spl0_1
    | spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2498,f2593]) ).

fof(f2711,plain,
    ( ~ spl0_1
    | spl0_5
    | ~ spl0_6
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2710]) ).

fof(f2710,plain,
    ( $false
    | ~ spl0_1
    | spl0_5
    | ~ spl0_6
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f2660,f1,f2,f21,f3,f28,f26,f16,f11,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f32,f30,f29,f5,f10,f15,f24,f25,f27,f20,f4,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f164,f2259,f2292,f2295,f35,f8,f7,f22,f17,f23,f18,f12,f13,f9,f14,f19,f822]) ).

fof(f2660,plain,
    ( sk_c6 = multiply(sk_c8,identity)
    | ~ spl0_1
    | ~ spl0_6
    | spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2499,f2593]) ).

fof(f2499,plain,
    ( sk_c6 = multiply(sk_c8,sk_c7)
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1204,f1,f2,f21,f3,f28,f26,f16,f11,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f32,f30,f29,f5,f10,f15,f24,f25,f27,f20,f4,f827,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f1220,f19,f14,f35,f2484,f8,f7,f22,f17,f23,f18,f12,f13,f9,f2498]) ).

fof(f1204,plain,
    ( identity = sk_c8
    | sk_c6 = multiply(sk_c8,sk_c7)
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f24,f880]) ).

fof(f880,plain,
    ( identity = multiply(sk_c3,sk_c6)
    | ~ spl0_6 ),
    inference(superposition,[],[f816,f2]) ).

fof(f816,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(sk_c6),X0)
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f815,f1]) ).

fof(f815,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(sk_c6),multiply(identity,X0))
    | ~ spl0_6 ),
    inference(superposition,[],[f3,f693]) ).

fof(f693,plain,
    ( sk_c3 = multiply(inverse(sk_c6),identity)
    | ~ spl0_6 ),
    inference(superposition,[],[f61,f666]) ).

fof(f666,plain,
    ( identity = multiply(sk_c6,sk_c3)
    | ~ spl0_6 ),
    inference(superposition,[],[f2,f169]) ).

fof(f169,plain,
    ( sk_c6 = inverse(sk_c3)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f167]) ).

fof(f2709,plain,
    ( ~ spl0_1
    | spl0_5
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2708]) ).

fof(f2708,plain,
    ( $false
    | ~ spl0_1
    | spl0_5
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f2662,f1,f2,f21,f3,f28,f26,f16,f11,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f32,f30,f29,f5,f10,f15,f24,f25,f27,f20,f4,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f164,f2259,f2292,f2295,f35,f8,f7,f22,f17,f23,f18,f12,f13,f9,f14,f19,f822]) ).

fof(f2662,plain,
    ( sk_c6 = multiply(sk_c8,identity)
    | ~ spl0_1
    | spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2500,f2593]) ).

fof(f2707,plain,
    ( ~ spl0_1
    | spl0_5
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2706]) ).

fof(f2706,plain,
    ( $false
    | ~ spl0_1
    | spl0_5
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f2664,f1,f2,f21,f3,f28,f26,f16,f11,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f32,f30,f29,f5,f10,f15,f24,f25,f27,f20,f4,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f164,f2259,f2292,f2295,f35,f8,f7,f22,f17,f23,f18,f12,f13,f9,f14,f19,f822]) ).

fof(f2664,plain,
    ( sk_c6 = multiply(sk_c8,identity)
    | ~ spl0_1
    | spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2501,f2593]) ).

fof(f2705,plain,
    ( ~ spl0_1
    | spl0_5
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2704]) ).

fof(f2704,plain,
    ( $false
    | ~ spl0_1
    | spl0_5
    | spl0_9 ),
    inference(global_subsumption,[],[f2703,f1,f2,f21,f3,f28,f26,f16,f11,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f32,f30,f29,f5,f10,f15,f24,f25,f27,f20,f4,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f164,f2259,f2292,f2295,f35,f8,f7,f22,f17,f23,f18,f12,f13,f9,f14,f19,f822]) ).

fof(f2703,plain,
    ( identity = multiply(sk_c6,sk_c8)
    | sk_c8 = inverse(sk_c5)
    | ~ spl0_1
    | spl0_9 ),
    inference(forward_demodulation,[],[f8,f2593]) ).

fof(f2699,plain,
    ( ~ spl0_1
    | spl0_5
    | spl0_9
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2698]) ).

fof(f2698,plain,
    ( $false
    | ~ spl0_1
    | spl0_5
    | spl0_9
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f2697,f1,f2,f21,f3,f28,f26,f16,f11,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f32,f30,f29,f5,f10,f15,f24,f25,f27,f20,f4,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f164,f2259,f2292,f2295,f35,f8,f7,f22,f17,f23,f18,f12,f13,f9,f14,f19,f822]) ).

fof(f2697,plain,
    ( identity = sk_c8
    | sk_c8 = inverse(sk_c5)
    | ~ spl0_1
    | spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2696,f2593]) ).

fof(f2694,plain,
    ( ~ spl0_1
    | spl0_5
    | spl0_9
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2693]) ).

fof(f2693,plain,
    ( $false
    | ~ spl0_1
    | spl0_5
    | spl0_9
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f2692,f1,f2,f21,f3,f28,f26,f16,f11,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f32,f30,f29,f5,f10,f15,f24,f25,f27,f20,f4,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f164,f2259,f2292,f2295,f35,f8,f7,f22,f17,f23,f18,f12,f13,f9,f14,f19,f822]) ).

fof(f2692,plain,
    ( identity = sk_c8
    | sk_c6 = multiply(sk_c5,sk_c8)
    | ~ spl0_1
    | spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2691,f2593]) ).

fof(f2686,plain,
    ( ~ spl0_1
    | spl0_5
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2685]) ).

fof(f2685,plain,
    ( $false
    | ~ spl0_1
    | spl0_5
    | spl0_9 ),
    inference(global_subsumption,[],[f2684,f1,f2,f21,f3,f28,f26,f16,f11,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f32,f30,f29,f5,f10,f15,f24,f25,f27,f20,f4,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f164,f2259,f2292,f2295,f35,f8,f7,f22,f17,f23,f18,f12,f13,f9,f14,f19,f822]) ).

fof(f2684,plain,
    ( identity = multiply(sk_c6,sk_c8)
    | sk_c6 = multiply(sk_c5,sk_c8)
    | ~ spl0_1
    | spl0_9 ),
    inference(forward_demodulation,[],[f7,f2593]) ).

fof(f2681,plain,
    ( ~ spl0_1
    | spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2680]) ).

fof(f2680,plain,
    ( $false
    | ~ spl0_1
    | spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2670,f2666]) ).

fof(f2666,plain,
    ( identity != sk_c8
    | ~ spl0_1
    | spl0_9
    | ~ spl0_12 ),
    inference(superposition,[],[f2655,f1]) ).

fof(f2655,plain,
    ( identity != multiply(identity,sk_c8)
    | ~ spl0_1
    | spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2654,f1233]) ).

fof(f2670,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(superposition,[],[f1532,f2657]) ).

fof(f2657,plain,
    ( identity = multiply(sk_c8,identity)
    | ~ spl0_1
    | spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2656,f1233]) ).

fof(f2679,plain,
    ( ~ spl0_1
    | spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2678]) ).

fof(f2678,plain,
    ( $false
    | ~ spl0_1
    | spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2669,f2666]) ).

fof(f2669,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(superposition,[],[f859,f2657]) ).

fof(f2677,plain,
    ( ~ spl0_1
    | spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2676]) ).

fof(f2676,plain,
    ( $false
    | ~ spl0_1
    | spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2668,f2666]) ).

fof(f2668,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(superposition,[],[f2657,f1532]) ).

fof(f2675,plain,
    ( ~ spl0_1
    | spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2674]) ).

fof(f2674,plain,
    ( $false
    | ~ spl0_1
    | spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2667,f2666]) ).

fof(f2667,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(superposition,[],[f2657,f859]) ).

fof(f2612,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_9
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2611]) ).

fof(f2611,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_9
    | spl0_12 ),
    inference(global_subsumption,[],[f43,f1,f2,f21,f3,f28,f26,f16,f11,f6,f31,f39,f157,f159,f33,f171,f173,f61,f324,f321,f476,f464,f482,f495,f484,f481,f478,f479,f462,f461,f341,f327,f32,f30,f29,f5,f10,f15,f24,f25,f27,f20,f339,f809,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1215,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f35,f8,f2485,f7,f22,f17,f23,f2493,f18,f2494,f12,f13,f2497,f2351,f165,f9,f14,f19,f810,f822,f1216,f2581,f2583,f2584,f2586,f2587,f2300,f2588,f2303,f2591,f2487,f2593,f2595,f1232]) ).

fof(f2610,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_9
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2609]) ).

fof(f2609,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_9
    | spl0_12 ),
    inference(global_subsumption,[],[f817,f1,f2,f21,f3,f28,f26,f16,f11,f6,f31,f39,f157,f159,f33,f171,f173,f61,f324,f321,f476,f464,f482,f495,f484,f481,f478,f479,f462,f461,f341,f327,f32,f30,f29,f5,f10,f15,f24,f25,f27,f20,f339,f809,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1215,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f35,f8,f2485,f7,f22,f17,f23,f2493,f18,f2494,f12,f13,f2497,f2351,f165,f9,f14,f19,f810,f822,f1216,f2581,f2583,f2584,f2586,f2587,f2300,f2588,f2303,f2591,f2487,f2593,f2595,f1232]) ).

fof(f817,plain,
    ( sk_c4 = sk_c1
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f804,f339]) ).

fof(f804,plain,
    ( sk_c1 = multiply(inverse(sk_c8),identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f61,f803]) ).

fof(f803,plain,
    ( identity = multiply(sk_c8,sk_c1)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f43]) ).

fof(f2608,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_9
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2607]) ).

fof(f2607,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_9
    | spl0_12 ),
    inference(global_subsumption,[],[f2606,f1,f2,f21,f3,f28,f26,f16,f11,f6,f31,f39,f157,f159,f33,f171,f173,f61,f324,f321,f476,f464,f482,f495,f484,f481,f478,f479,f462,f461,f341,f327,f32,f30,f29,f5,f10,f15,f24,f25,f27,f20,f339,f809,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1215,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f35,f8,f2485,f7,f22,f17,f23,f2493,f18,f2494,f12,f13,f2497,f2351,f165,f9,f14,f19,f810,f822,f1216,f2581,f2583,f2584,f2586,f2587,f2300,f2588,f2303,f2591,f2487,f2593,f2595,f1232]) ).

fof(f2606,plain,
    ( sk_c4 = sk_c1
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1613,f925]) ).

fof(f1613,plain,
    ( sk_c1 = inverse(sk_c8)
    | ~ spl0_2 ),
    inference(superposition,[],[f1559,f43]) ).

fof(f2605,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | spl0_9
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2604]) ).

fof(f2604,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | spl0_9
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f1229,f1,f2,f21,f3,f28,f26,f16,f11,f6,f31,f39,f157,f159,f33,f171,f173,f61,f324,f321,f476,f464,f482,f495,f484,f481,f478,f479,f462,f461,f341,f327,f32,f30,f29,f5,f10,f15,f24,f25,f27,f20,f339,f809,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1215,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f35,f8,f2485,f7,f22,f17,f23,f2493,f18,f2494,f12,f13,f2497,f2351,f165,f9,f14,f19,f810,f822,f1216,f2581,f2583,f2584,f2586,f2587,f2300,f2588,f2303,f2591,f2487,f2593,f2595,f1232]) ).

fof(f2603,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | spl0_9
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2602]) ).

fof(f2602,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | spl0_9
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f1928,f1,f2,f21,f3,f28,f26,f16,f11,f6,f31,f39,f157,f159,f33,f171,f173,f61,f324,f321,f476,f464,f482,f495,f484,f481,f478,f479,f462,f461,f341,f327,f32,f30,f29,f5,f10,f15,f24,f25,f27,f20,f339,f809,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1215,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f35,f8,f2485,f7,f22,f17,f23,f2493,f18,f2494,f12,f13,f2497,f2351,f165,f9,f14,f19,f810,f822,f1216,f2581,f2583,f2584,f2586,f2587,f2300,f2588,f2303,f2591,f2487,f2593,f2595,f1232]) ).

fof(f2601,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2600]) ).

fof(f2600,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f1929,f1,f2,f21,f3,f28,f26,f16,f11,f6,f31,f39,f157,f159,f33,f171,f173,f61,f324,f321,f476,f464,f482,f495,f484,f481,f478,f479,f462,f461,f341,f327,f32,f30,f29,f5,f10,f15,f24,f25,f27,f20,f339,f809,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1215,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f35,f8,f2485,f7,f22,f17,f23,f2493,f18,f2494,f12,f13,f2497,f2351,f165,f9,f14,f19,f810,f822,f1216,f2581,f2583,f2584,f2586,f2587,f2300,f2588,f2303,f2591,f2487,f2593,f2595,f1232]) ).

fof(f2599,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | spl0_9
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2598]) ).

fof(f2598,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | spl0_9
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f21,f3,f28,f26,f16,f11,f6,f31,f39,f157,f159,f33,f171,f173,f61,f324,f321,f476,f464,f482,f495,f484,f481,f478,f479,f462,f461,f341,f327,f32,f30,f29,f5,f10,f15,f24,f25,f27,f20,f339,f809,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1215,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f35,f8,f2485,f7,f22,f17,f23,f2493,f18,f2494,f12,f13,f2497,f2351,f165,f9,f14,f19,f810,f822,f1216,f2581,f2583,f2584,f2586,f2587,f2300,f2588,f2303,f2591,f2487,f2593,f2595,f1232]) ).

fof(f2597,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | spl0_9
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2596]) ).

fof(f2596,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | spl0_9
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f21,f3,f28,f26,f16,f11,f6,f31,f39,f157,f159,f33,f171,f173,f61,f324,f321,f476,f464,f482,f495,f484,f481,f478,f479,f462,f461,f341,f327,f32,f30,f29,f5,f10,f15,f24,f25,f27,f20,f339,f809,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1215,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f1232,f35,f8,f2485,f7,f22,f17,f23,f2493,f18,f2494,f12,f13,f2497,f2351,f165,f9,f14,f19,f810,f822,f1216,f2581,f2583,f2584,f2586,f2587,f2300,f2588,f2303,f2591,f2487,f2593,f2595]) ).

fof(f2580,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_9
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2579]) ).

fof(f2579,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_9
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2578,f1]) ).

fof(f2578,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_1
    | spl0_2
    | spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2577,f1233]) ).

fof(f2577,plain,
    ( identity != multiply(sk_c6,identity)
    | ~ spl0_1
    | spl0_2
    | spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2576,f2519]) ).

fof(f2519,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | spl0_2
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f674,f1233]) ).

fof(f674,plain,
    ( sk_c6 = sk_c8
    | ~ spl0_1
    | spl0_2 ),
    inference(forward_demodulation,[],[f673,f644]) ).

fof(f644,plain,
    ( sk_c6 = multiply(sk_c8,sk_c7)
    | spl0_2 ),
    inference(global_subsumption,[],[f23,f20,f22,f1,f2,f21,f3,f35,f27,f25,f24,f17,f15,f14,f12,f10,f9,f7,f5,f4,f32,f30,f29,f28,f26,f18,f16,f13,f11,f8,f6,f31,f33,f61,f324,f332,f321,f476,f464,f482,f495,f484,f481,f42,f19]) ).

fof(f42,plain,
    ( sk_c8 != inverse(sk_c1)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f41]) ).

fof(f673,plain,
    ( sk_c8 = multiply(sk_c8,sk_c7)
    | ~ spl0_1
    | spl0_2 ),
    inference(forward_demodulation,[],[f670,f39]) ).

fof(f670,plain,
    ( sk_c8 = multiply(inverse(sk_c4),sk_c7)
    | spl0_2 ),
    inference(superposition,[],[f61,f645]) ).

fof(f645,plain,
    ( sk_c7 = multiply(sk_c4,sk_c8)
    | spl0_2 ),
    inference(global_subsumption,[],[f23,f22,f1,f2,f21,f3,f35,f27,f25,f24,f17,f15,f14,f12,f10,f9,f7,f5,f4,f32,f30,f29,f28,f26,f18,f16,f13,f11,f8,f6,f31,f33,f61,f324,f332,f321,f476,f464,f482,f495,f484,f481,f42,f19,f644,f20]) ).

fof(f2576,plain,
    ( identity != multiply(sk_c6,sk_c8)
    | ~ spl0_1
    | spl0_2
    | spl0_9 ),
    inference(forward_demodulation,[],[f822,f2488]) ).

fof(f2488,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f21,f3,f28,f26,f16,f11,f6,f31,f39,f157,f159,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f478,f461,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f672,f671,f675,f676,f679,f680,f682,f683,f684,f685,f686,f681,f689,f5,f10,f15,f24,f25,f27,f20,f339,f809,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f19,f14,f9,f13,f1216,f12,f18,f23,f17,f2300,f2303,f22,f674,f42,f35,f8,f7,f2486,f2487]) ).

fof(f2486,plain,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f21,f3,f28,f26,f16,f11,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f671,f5,f10,f15,f24,f25,f27,f20,f4,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f19,f14,f9,f13,f12,f18,f23,f17,f22,f42,f35,f8,f7]) ).

fof(f689,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c5,multiply(sk_c6,X0))
    | ~ spl0_1
    | spl0_2 ),
    inference(superposition,[],[f3,f681]) ).

fof(f681,plain,
    ( sk_c6 = multiply(sk_c5,sk_c6)
    | ~ spl0_1
    | spl0_2 ),
    inference(forward_demodulation,[],[f646,f674]) ).

fof(f686,plain,
    ( sk_c6 = multiply(sk_c5,sk_c6)
    | ~ spl0_1
    | spl0_2 ),
    inference(forward_demodulation,[],[f660,f674]) ).

fof(f685,plain,
    ( sk_c6 = multiply(sk_c5,sk_c6)
    | ~ spl0_1
    | spl0_2 ),
    inference(forward_demodulation,[],[f657,f674]) ).

fof(f684,plain,
    ( sk_c6 = multiply(sk_c5,sk_c6)
    | ~ spl0_1
    | spl0_2 ),
    inference(forward_demodulation,[],[f654,f674]) ).

fof(f683,plain,
    ( sk_c6 = multiply(sk_c5,sk_c6)
    | ~ spl0_1
    | spl0_2 ),
    inference(forward_demodulation,[],[f651,f674]) ).

fof(f682,plain,
    ( sk_c6 = multiply(sk_c5,sk_c6)
    | ~ spl0_1
    | spl0_2 ),
    inference(forward_demodulation,[],[f647,f674]) ).

fof(f680,plain,
    ( sk_c7 = multiply(sk_c4,sk_c6)
    | ~ spl0_1
    | spl0_2 ),
    inference(superposition,[],[f645,f674]) ).

fof(f679,plain,
    ( sk_c6 = multiply(sk_c6,sk_c7)
    | ~ spl0_1
    | spl0_2 ),
    inference(superposition,[],[f644,f674]) ).

fof(f676,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c4,X0)) = X0
    | ~ spl0_1
    | spl0_2 ),
    inference(superposition,[],[f159,f674]) ).

fof(f675,plain,
    ( identity = multiply(sk_c6,sk_c4)
    | ~ spl0_1
    | spl0_2 ),
    inference(superposition,[],[f157,f674]) ).

fof(f671,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c4,multiply(sk_c8,X0))
    | spl0_2 ),
    inference(superposition,[],[f3,f645]) ).

fof(f672,plain,
    ( sk_c6 = sk_c8
    | ~ spl0_1
    | spl0_2 ),
    inference(forward_demodulation,[],[f669,f644]) ).

fof(f669,plain,
    ( sk_c8 = multiply(sk_c8,sk_c7)
    | ~ spl0_1
    | spl0_2 ),
    inference(superposition,[],[f159,f645]) ).

fof(f668,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c8,multiply(sk_c7,X0))
    | spl0_2 ),
    inference(superposition,[],[f3,f644]) ).

fof(f667,plain,
    ( sk_c7 = multiply(inverse(sk_c8),sk_c6)
    | spl0_2 ),
    inference(superposition,[],[f61,f644]) ).

fof(f662,plain,
    ( sk_c6 = multiply(sk_c8,sk_c7)
    | spl0_2 ),
    inference(global_subsumption,[],[f23,f1,f2,f21,f3,f28,f26,f18,f16,f13,f11,f8,f6,f31,f33,f61,f324,f332,f321,f476,f464,f482,f495,f484,f481,f42,f19,f644,f20,f645,f22,f646,f27,f647,f35,f648,f25,f649,f24,f650,f17,f651,f15,f652,f14,f653,f12,f654,f10,f655,f9,f656,f7,f657,f5,f658,f4,f659,f32,f660,f30,f661,f29]) ).

fof(f661,plain,
    ( sk_c7 = multiply(sk_c4,sk_c8)
    | spl0_2 ),
    inference(global_subsumption,[],[f23,f1,f2,f21,f3,f29,f28,f26,f18,f16,f13,f11,f8,f6,f31,f33,f61,f324,f332,f321,f476,f464,f482,f495,f484,f481,f42,f19,f644,f20,f645,f22,f646,f27,f647,f35,f648,f25,f649,f24,f650,f17,f651,f15,f652,f14,f653,f12,f654,f10,f655,f9,f656,f7,f657,f5,f658,f4,f659,f32,f660,f30]) ).

fof(f660,plain,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | spl0_2 ),
    inference(global_subsumption,[],[f23,f1,f2,f21,f3,f30,f29,f28,f26,f18,f16,f13,f11,f8,f6,f31,f33,f61,f324,f332,f321,f476,f464,f482,f495,f484,f481,f42,f19,f644,f20,f645,f22,f646,f27,f647,f35,f648,f25,f649,f24,f650,f17,f651,f15,f652,f14,f653,f12,f654,f10,f655,f9,f656,f7,f657,f5,f658,f4,f659,f32]) ).

fof(f659,plain,
    ( sk_c6 = multiply(sk_c8,sk_c7)
    | spl0_2 ),
    inference(global_subsumption,[],[f23,f1,f2,f21,f3,f32,f30,f29,f28,f26,f18,f16,f13,f11,f8,f6,f31,f33,f61,f324,f332,f321,f476,f464,f482,f495,f484,f481,f42,f19,f644,f20,f645,f22,f646,f27,f647,f35,f648,f25,f649,f24,f650,f17,f651,f15,f652,f14,f653,f12,f654,f10,f655,f9,f656,f7,f657,f5,f658,f4]) ).

fof(f658,plain,
    ( sk_c7 = multiply(sk_c4,sk_c8)
    | spl0_2 ),
    inference(global_subsumption,[],[f23,f1,f2,f21,f3,f4,f32,f30,f29,f28,f26,f18,f16,f13,f11,f8,f6,f31,f33,f61,f324,f332,f321,f476,f464,f482,f495,f484,f481,f42,f19,f644,f20,f645,f22,f646,f27,f647,f35,f648,f25,f649,f24,f650,f17,f651,f15,f652,f14,f653,f12,f654,f10,f655,f9,f656,f7,f657,f5]) ).

fof(f657,plain,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | spl0_2 ),
    inference(global_subsumption,[],[f23,f1,f2,f21,f3,f5,f4,f32,f30,f29,f28,f26,f18,f16,f13,f11,f8,f6,f31,f33,f61,f324,f332,f321,f476,f464,f482,f495,f484,f481,f42,f19,f644,f20,f645,f22,f646,f27,f647,f35,f648,f25,f649,f24,f650,f17,f651,f15,f652,f14,f653,f12,f654,f10,f655,f9,f656,f7]) ).

fof(f656,plain,
    ( sk_c6 = multiply(sk_c8,sk_c7)
    | spl0_2 ),
    inference(global_subsumption,[],[f23,f1,f2,f21,f3,f7,f5,f4,f32,f30,f29,f28,f26,f18,f16,f13,f11,f8,f6,f31,f33,f61,f324,f332,f321,f476,f464,f482,f495,f484,f481,f42,f19,f644,f20,f645,f22,f646,f27,f647,f35,f648,f25,f649,f24,f650,f17,f651,f15,f652,f14,f653,f12,f654,f10,f655,f9]) ).

fof(f655,plain,
    ( sk_c7 = multiply(sk_c4,sk_c8)
    | spl0_2 ),
    inference(global_subsumption,[],[f23,f1,f2,f21,f3,f9,f7,f5,f4,f32,f30,f29,f28,f26,f18,f16,f13,f11,f8,f6,f31,f33,f61,f324,f332,f321,f476,f464,f482,f495,f484,f481,f42,f19,f644,f20,f645,f22,f646,f27,f647,f35,f648,f25,f649,f24,f650,f17,f651,f15,f652,f14,f653,f12,f654,f10]) ).

fof(f654,plain,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | spl0_2 ),
    inference(global_subsumption,[],[f23,f1,f2,f21,f3,f10,f9,f7,f5,f4,f32,f30,f29,f28,f26,f18,f16,f13,f11,f8,f6,f31,f33,f61,f324,f332,f321,f476,f464,f482,f495,f484,f481,f42,f19,f644,f20,f645,f22,f646,f27,f647,f35,f648,f25,f649,f24,f650,f17,f651,f15,f652,f14,f653,f12]) ).

fof(f653,plain,
    ( sk_c6 = multiply(sk_c8,sk_c7)
    | spl0_2 ),
    inference(global_subsumption,[],[f23,f1,f2,f21,f3,f12,f10,f9,f7,f5,f4,f32,f30,f29,f28,f26,f18,f16,f13,f11,f8,f6,f31,f33,f61,f324,f332,f321,f476,f464,f482,f495,f484,f481,f42,f19,f644,f20,f645,f22,f646,f27,f647,f35,f648,f25,f649,f24,f650,f17,f651,f15,f652,f14]) ).

fof(f652,plain,
    ( sk_c7 = multiply(sk_c4,sk_c8)
    | spl0_2 ),
    inference(global_subsumption,[],[f23,f1,f2,f21,f3,f14,f12,f10,f9,f7,f5,f4,f32,f30,f29,f28,f26,f18,f16,f13,f11,f8,f6,f31,f33,f61,f324,f332,f321,f476,f464,f482,f495,f484,f481,f42,f19,f644,f20,f645,f22,f646,f27,f647,f35,f648,f25,f649,f24,f650,f17,f651,f15]) ).

fof(f651,plain,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | spl0_2 ),
    inference(global_subsumption,[],[f23,f1,f2,f21,f3,f15,f14,f12,f10,f9,f7,f5,f4,f32,f30,f29,f28,f26,f18,f16,f13,f11,f8,f6,f31,f33,f61,f324,f332,f321,f476,f464,f482,f495,f484,f481,f42,f19,f644,f20,f645,f22,f646,f27,f647,f35,f648,f25,f649,f24,f650,f17]) ).

fof(f650,plain,
    ( sk_c6 = multiply(sk_c8,sk_c7)
    | spl0_2 ),
    inference(global_subsumption,[],[f23,f1,f2,f21,f3,f17,f15,f14,f12,f10,f9,f7,f5,f4,f32,f30,f29,f28,f26,f18,f16,f13,f11,f8,f6,f31,f33,f61,f324,f332,f321,f476,f464,f482,f495,f484,f481,f42,f19,f644,f20,f645,f22,f646,f27,f647,f35,f648,f25,f649,f24]) ).

fof(f649,plain,
    ( sk_c7 = multiply(sk_c4,sk_c8)
    | spl0_2 ),
    inference(global_subsumption,[],[f23,f1,f2,f21,f3,f24,f17,f15,f14,f12,f10,f9,f7,f5,f4,f32,f30,f29,f28,f26,f18,f16,f13,f11,f8,f6,f31,f33,f61,f324,f332,f321,f476,f464,f482,f495,f484,f481,f42,f19,f644,f20,f645,f22,f646,f27,f647,f35,f648,f25]) ).

fof(f648,plain,
    ( ! [X6,X7,X4,X5] :
        ( sk_c6 != inverse(X5)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X6)
        | sk_c8 != inverse(X4)
        | sk_c7 != multiply(X6,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
        | sk_c6 != multiply(X7,sk_c8)
        | sk_c8 != multiply(X5,sk_c6)
        | multiply(sk_c6,sk_c8) != sk_c7 )
    | spl0_2 ),
    inference(global_subsumption,[],[f23,f1,f2,f21,f3,f25,f24,f17,f15,f14,f12,f10,f9,f7,f5,f4,f32,f30,f29,f28,f26,f18,f16,f13,f11,f8,f6,f31,f33,f61,f324,f332,f321,f476,f464,f482,f495,f484,f481,f42,f19,f644,f20,f645,f22,f646,f27,f647,f35]) ).

fof(f647,plain,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | spl0_2 ),
    inference(global_subsumption,[],[f23,f1,f2,f21,f3,f35,f25,f24,f17,f15,f14,f12,f10,f9,f7,f5,f4,f32,f30,f29,f28,f26,f18,f16,f13,f11,f8,f6,f31,f33,f61,f324,f332,f321,f476,f464,f482,f495,f484,f481,f42,f19,f644,f20,f645,f22,f646,f27]) ).

fof(f646,plain,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | spl0_2 ),
    inference(global_subsumption,[],[f23,f1,f2,f21,f3,f35,f27,f25,f24,f17,f15,f14,f12,f10,f9,f7,f5,f4,f32,f30,f29,f28,f26,f18,f16,f13,f11,f8,f6,f31,f33,f61,f324,f332,f321,f476,f464,f482,f495,f484,f481,f42,f19,f644,f20,f645,f22]) ).

fof(f2483,plain,
    ( spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2482]) ).

fof(f2482,plain,
    ( $false
    | spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f21,f3,f28,f26,f16,f11,f8,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f671,f5,f7,f10,f15,f24,f25,f35,f27,f20,f4,f901,f916,f915,f917,f918,f902,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f19,f14,f9,f13,f12,f18,f23,f17,f22,f42,f1006,f899,f826]) ).

fof(f826,plain,
    ( sk_c6 != multiply(sk_c8,sk_c7)
    | spl0_10 ),
    inference(avatar_component_clause,[],[f825]) ).

fof(f899,plain,
    ( sk_c7 = multiply(sk_c8,sk_c2)
    | spl0_10 ),
    inference(subsumption_resolution,[],[f9,f826]) ).

fof(f1006,plain,
    ( sk_c2 = multiply(sk_c1,sk_c8)
    | spl0_10 ),
    inference(subsumption_resolution,[],[f14,f826]) ).

fof(f902,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c2,X0))
    | spl0_10 ),
    inference(superposition,[],[f3,f899]) ).

fof(f918,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(inverse(inverse(sk_c8)),multiply(sk_c2,X0))
    | spl0_10 ),
    inference(superposition,[],[f3,f915]) ).

fof(f917,plain,
    ( sk_c2 = multiply(inverse(inverse(inverse(sk_c8))),sk_c7)
    | spl0_10 ),
    inference(superposition,[],[f61,f915]) ).

fof(f915,plain,
    ( sk_c7 = multiply(inverse(inverse(sk_c8)),sk_c2)
    | spl0_10 ),
    inference(superposition,[],[f61,f901]) ).

fof(f916,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(sk_c8),multiply(sk_c7,X0))
    | spl0_10 ),
    inference(superposition,[],[f3,f901]) ).

fof(f901,plain,
    ( sk_c2 = multiply(inverse(sk_c8),sk_c7)
    | spl0_10 ),
    inference(superposition,[],[f61,f899]) ).

fof(f2481,plain,
    ( spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2480]) ).

fof(f2480,plain,
    ( $false
    | spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f21,f3,f28,f26,f16,f11,f8,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f671,f5,f7,f10,f15,f24,f25,f35,f27,f20,f4,f826,f901,f916,f915,f917,f918,f902,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f19,f14,f9,f13,f12,f18,f23,f17,f22,f42,f1006,f899]) ).

fof(f2479,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2478]) ).

fof(f2478,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f900,f1,f2,f21,f3,f28,f26,f16,f11,f8,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f671,f5,f7,f10,f15,f24,f25,f35,f27,f20,f4,f826,f899,f901,f916,f915,f917,f918,f902,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f19,f14,f9,f13,f12,f18,f23,f17,f22,f42,f1006]) ).

fof(f900,plain,
    ( sk_c2 = multiply(sk_c4,sk_c7)
    | ~ spl0_1
    | spl0_10 ),
    inference(superposition,[],[f852,f899]) ).

fof(f2477,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2476]) ).

fof(f2476,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_10 ),
    inference(global_subsumption,[],[f1169,f1,f2,f21,f3,f28,f26,f16,f11,f8,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f671,f5,f7,f10,f15,f24,f25,f35,f27,f20,f4,f826,f899,f901,f916,f915,f917,f918,f902,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f19,f14,f9,f13,f12,f18,f23,f17,f22,f42,f1006]) ).

fof(f1169,plain,
    ( identity = multiply(identity,sk_c4)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_6
    | spl0_10 ),
    inference(forward_demodulation,[],[f1149,f810]) ).

fof(f1149,plain,
    ( identity = multiply(identity,sk_c5)
    | ~ spl0_5
    | ~ spl0_6
    | spl0_10 ),
    inference(superposition,[],[f171,f1146]) ).

fof(f1146,plain,
    ( identity = sk_c8
    | ~ spl0_6
    | spl0_10 ),
    inference(forward_demodulation,[],[f1145,f880]) ).

fof(f1145,plain,
    ( sk_c8 = multiply(sk_c3,sk_c6)
    | spl0_10 ),
    inference(subsumption_resolution,[],[f24,f826]) ).

fof(f2475,plain,
    ( spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2474]) ).

fof(f2474,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(global_subsumption,[],[f2473,f1,f2,f21,f3,f28,f26,f16,f11,f8,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f671,f5,f7,f10,f15,f24,f25,f35,f27,f20,f4,f826,f899,f901,f916,f915,f917,f918,f902,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f19,f14,f9,f13,f12,f18,f23,f17,f22,f42,f1006]) ).

fof(f2473,plain,
    ( identity = sk_c8
    | ~ spl0_6
    | spl0_10 ),
    inference(forward_demodulation,[],[f1145,f880]) ).

fof(f2472,plain,
    ( spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2471]) ).

fof(f2471,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(global_subsumption,[],[f1146,f1,f2,f21,f3,f28,f26,f16,f11,f8,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f671,f5,f7,f10,f15,f24,f25,f35,f27,f20,f4,f826,f899,f901,f916,f915,f917,f918,f902,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f19,f14,f9,f13,f12,f18,f23,f17,f22,f42,f1006]) ).

fof(f2470,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2469]) ).

fof(f2469,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(global_subsumption,[],[f1147,f1,f2,f21,f3,f28,f26,f16,f11,f8,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f671,f5,f7,f10,f15,f24,f25,f35,f27,f20,f4,f826,f899,f901,f916,f915,f917,f918,f902,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f19,f14,f9,f13,f12,f18,f23,f17,f22,f42,f1006]) ).

fof(f1147,plain,
    ( identity = multiply(identity,sk_c4)
    | ~ spl0_1
    | ~ spl0_6
    | spl0_10 ),
    inference(superposition,[],[f157,f1146]) ).

fof(f2468,plain,
    ( spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2467]) ).

fof(f2467,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f1187,f1,f2,f21,f3,f28,f26,f16,f11,f8,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f671,f5,f7,f10,f15,f24,f25,f35,f27,f20,f4,f826,f899,f901,f916,f915,f917,f918,f902,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f19,f14,f9,f13,f12,f18,f23,f17,f22,f42,f1006]) ).

fof(f1187,plain,
    ( sk_c6 = sk_c7
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(forward_demodulation,[],[f1158,f321]) ).

fof(f1158,plain,
    ( sk_c7 = multiply(inverse(inverse(sk_c6)),identity)
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(superposition,[],[f831,f1146]) ).

fof(f2466,plain,
    ( spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2465]) ).

fof(f2465,plain,
    ( $false
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_10 ),
    inference(global_subsumption,[],[f1149,f1,f2,f21,f3,f28,f26,f16,f11,f8,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f671,f5,f7,f10,f15,f24,f25,f35,f27,f20,f4,f826,f899,f901,f916,f915,f917,f918,f902,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f19,f14,f9,f13,f12,f18,f23,f17,f22,f42,f1006]) ).

fof(f2464,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2463]) ).

fof(f2463,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(global_subsumption,[],[f1172,f1,f2,f21,f3,f28,f26,f16,f11,f8,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f671,f5,f7,f10,f15,f24,f25,f35,f27,f20,f4,f826,f899,f901,f916,f915,f917,f918,f902,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f19,f14,f9,f13,f12,f18,f23,f17,f22,f42,f1006]) ).

fof(f1172,plain,
    ( ! [X0] : multiply(sk_c4,X0) = X0
    | ~ spl0_1
    | ~ spl0_6
    | spl0_10 ),
    inference(forward_demodulation,[],[f1171,f1]) ).

fof(f1171,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c4,X0)
    | ~ spl0_1
    | ~ spl0_6
    | spl0_10 ),
    inference(forward_demodulation,[],[f1151,f481]) ).

fof(f1151,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(identity),X0)
    | ~ spl0_1
    | ~ spl0_6
    | spl0_10 ),
    inference(superposition,[],[f326,f1146]) ).

fof(f2462,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2461]) ).

fof(f2461,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(global_subsumption,[],[f1173,f1,f2,f21,f3,f28,f26,f16,f11,f8,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f671,f5,f7,f10,f15,f24,f25,f35,f27,f20,f4,f826,f899,f901,f916,f915,f917,f918,f902,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f19,f14,f9,f13,f12,f18,f23,f17,f22,f42,f1006]) ).

fof(f1173,plain,
    ( identity = sk_c4
    | ~ spl0_1
    | ~ spl0_6
    | spl0_10 ),
    inference(forward_demodulation,[],[f1152,f2]) ).

fof(f1152,plain,
    ( sk_c4 = multiply(inverse(identity),identity)
    | ~ spl0_1
    | ~ spl0_6
    | spl0_10 ),
    inference(superposition,[],[f339,f1146]) ).

fof(f2460,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2459]) ).

fof(f2459,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(global_subsumption,[],[f1189,f1,f2,f21,f3,f28,f26,f16,f11,f8,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f671,f5,f7,f10,f15,f24,f25,f35,f27,f20,f4,f826,f899,f901,f916,f915,f917,f918,f902,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f19,f14,f9,f13,f12,f18,f23,f17,f22,f42,f1006]) ).

fof(f1189,plain,
    ( identity = sk_c4
    | ~ spl0_1
    | ~ spl0_6
    | spl0_10 ),
    inference(forward_demodulation,[],[f1159,f464]) ).

fof(f1159,plain,
    ( sk_c4 = multiply(inverse(inverse(inverse(identity))),identity)
    | ~ spl0_1
    | ~ spl0_6
    | spl0_10 ),
    inference(superposition,[],[f840,f1146]) ).

fof(f2458,plain,
    ( spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2457]) ).

fof(f2457,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(global_subsumption,[],[f1156,f1,f2,f21,f3,f28,f26,f16,f11,f8,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f671,f5,f7,f10,f15,f24,f25,f35,f27,f20,f4,f826,f899,f901,f916,f915,f917,f918,f902,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f19,f14,f9,f13,f12,f18,f23,f17,f22,f42,f1006]) ).

fof(f1156,plain,
    ( sk_c6 != multiply(identity,sk_c7)
    | ~ spl0_6
    | spl0_10 ),
    inference(superposition,[],[f826,f1146]) ).

fof(f2456,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2455]) ).

fof(f2455,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(global_subsumption,[],[f1176,f1,f2,f21,f3,f28,f26,f16,f11,f8,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f671,f5,f7,f10,f15,f24,f25,f35,f27,f20,f4,f826,f899,f901,f916,f915,f917,f918,f902,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f19,f14,f9,f13,f12,f18,f23,f17,f22,f42,f1006]) ).

fof(f1176,plain,
    ( identity = multiply(identity,sk_c4)
    | ~ spl0_1
    | ~ spl0_6
    | spl0_10 ),
    inference(forward_demodulation,[],[f1175,f481]) ).

fof(f1175,plain,
    ( identity = multiply(inverse(identity),sk_c4)
    | ~ spl0_1
    | ~ spl0_6
    | spl0_10 ),
    inference(forward_demodulation,[],[f1154,f481]) ).

fof(f1154,plain,
    ( identity = multiply(inverse(inverse(identity)),sk_c4)
    | ~ spl0_1
    | ~ spl0_6
    | spl0_10 ),
    inference(superposition,[],[f807,f1146]) ).

fof(f2454,plain,
    ( spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2453]) ).

fof(f2453,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f1177,f1,f2,f21,f3,f28,f26,f16,f11,f8,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f671,f5,f7,f10,f15,f24,f25,f35,f27,f20,f4,f826,f899,f901,f916,f915,f917,f918,f902,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f19,f14,f9,f13,f12,f18,f23,f17,f22,f42,f1006]) ).

fof(f1177,plain,
    ( sk_c6 = sk_c7
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(forward_demodulation,[],[f1155,f891]) ).

fof(f891,plain,
    ( sk_c6 = multiply(sk_c6,identity)
    | ~ spl0_6 ),
    inference(superposition,[],[f665,f880]) ).

fof(f665,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c3,X0)) = X0
    | ~ spl0_6 ),
    inference(superposition,[],[f61,f169]) ).

fof(f1155,plain,
    ( sk_c7 = multiply(sk_c6,identity)
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(superposition,[],[f823,f1146]) ).

fof(f2452,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2451]) ).

fof(f2451,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(global_subsumption,[],[f1160,f1,f2,f21,f3,f28,f26,f16,f11,f8,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f671,f5,f7,f10,f15,f24,f25,f35,f27,f20,f4,f826,f899,f901,f916,f915,f917,f918,f902,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f19,f14,f9,f13,f12,f18,f23,f17,f22,f42,f1006]) ).

fof(f1160,plain,
    ( identity = multiply(sk_c4,identity)
    | ~ spl0_1
    | ~ spl0_6
    | spl0_10 ),
    inference(superposition,[],[f850,f1146]) ).

fof(f2450,plain,
    ( spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2449]) ).

fof(f2449,plain,
    ( $false
    | spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f21,f3,f28,f26,f16,f11,f8,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f671,f5,f7,f10,f15,f24,f25,f35,f27,f20,f4,f826,f899,f901,f916,f915,f917,f918,f902,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f19,f14,f9,f13,f12,f18,f23,f17,f22,f42,f1006]) ).

fof(f2448,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2447]) ).

fof(f2447,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(global_subsumption,[],[f1190,f1,f2,f21,f3,f28,f26,f16,f11,f8,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f671,f5,f7,f10,f15,f24,f25,f35,f27,f20,f4,f826,f899,f901,f916,f915,f917,f918,f902,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f19,f14,f9,f13,f12,f18,f23,f17,f22,f42]) ).

fof(f1190,plain,
    ( ! [X0] : multiply(sk_c4,X0) = X0
    | ~ spl0_1
    | ~ spl0_6
    | spl0_10 ),
    inference(forward_demodulation,[],[f1161,f1]) ).

fof(f1161,plain,
    ( ! [X0] : multiply(sk_c4,multiply(identity,X0)) = X0
    | ~ spl0_1
    | ~ spl0_6
    | spl0_10 ),
    inference(superposition,[],[f852,f1146]) ).

fof(f2446,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2445]) ).

fof(f2445,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(global_subsumption,[],[f1201,f1,f2,f21,f3,f28,f26,f16,f11,f8,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f671,f5,f7,f10,f15,f24,f25,f35,f27,f20,f4,f826,f899,f901,f916,f915,f917,f918,f902,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f19,f14,f9,f13,f12,f18,f23,f17,f22,f42]) ).

fof(f1201,plain,
    ( identity = sk_c4
    | ~ spl0_1
    | ~ spl0_6
    | spl0_10 ),
    inference(forward_demodulation,[],[f1167,f481]) ).

fof(f1167,plain,
    ( sk_c4 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_6
    | spl0_10 ),
    inference(superposition,[],[f925,f1146]) ).

fof(f2444,plain,
    ( spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2443]) ).

fof(f2443,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(global_subsumption,[],[f1163,f1,f2,f21,f3,f28,f26,f16,f11,f8,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f671,f5,f7,f10,f15,f24,f25,f35,f27,f20,f4,f826,f899,f901,f916,f915,f917,f918,f902,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f19,f14,f9,f13,f12,f18,f23,f17,f22,f42]) ).

fof(f1163,plain,
    ( sk_c7 = multiply(identity,sk_c2)
    | ~ spl0_6
    | spl0_10 ),
    inference(superposition,[],[f899,f1146]) ).

fof(f2442,plain,
    ( spl0_2
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2441]) ).

fof(f2441,plain,
    ( $false
    | spl0_2
    | spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1233,f1,f2,f21,f3,f28,f26,f16,f11,f8,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f671,f5,f7,f10,f15,f24,f25,f35,f27,f20,f4,f826,f899,f901,f916,f915,f917,f918,f902,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f19,f14,f9,f13,f12,f18,f23,f17,f22,f42]) ).

fof(f2440,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2439]) ).

fof(f2439,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1830,f1,f2,f21,f3,f28,f26,f16,f11,f8,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f671,f5,f7,f10,f15,f24,f25,f35,f27,f20,f4,f826,f899,f901,f916,f915,f917,f918,f902,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f19,f14,f9,f13,f12,f18,f23,f17,f22,f42]) ).

fof(f1830,plain,
    ( identity = sk_c4
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1814,f2]) ).

fof(f1814,plain,
    ( sk_c4 = multiply(inverse(identity),identity)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(superposition,[],[f339,f1783]) ).

fof(f1783,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(duplicate_literal_removal,[],[f1782]) ).

fof(f1782,plain,
    ( identity = sk_c8
    | identity = sk_c8
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1781,f880]) ).

fof(f1781,plain,
    ( identity = sk_c8
    | sk_c8 = multiply(sk_c3,sk_c6)
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1478,f1257]) ).

fof(f1257,plain,
    ( sk_c8 = sk_c7
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1240,f1]) ).

fof(f1240,plain,
    ( sk_c7 = multiply(identity,sk_c8)
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(superposition,[],[f823,f1233]) ).

fof(f2438,plain,
    ( spl0_2
    | ~ spl0_6
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2437]) ).

fof(f2437,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1252,f1,f2,f21,f3,f28,f26,f16,f11,f8,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f671,f5,f7,f10,f15,f24,f25,f35,f27,f20,f4,f826,f899,f901,f916,f915,f917,f918,f902,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f19,f14,f9,f13,f12,f18,f23,f17,f22,f42]) ).

fof(f1252,plain,
    ( identity = sk_c3
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1237,f2]) ).

fof(f1237,plain,
    ( sk_c3 = multiply(inverse(identity),identity)
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(superposition,[],[f693,f1233]) ).

fof(f2436,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2435]) ).

fof(f2435,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1783,f1,f2,f21,f3,f28,f26,f16,f11,f8,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f671,f5,f7,f10,f15,f24,f25,f35,f27,f20,f4,f826,f899,f901,f916,f915,f917,f918,f902,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f19,f14,f9,f13,f12,f18,f23,f17,f22,f42]) ).

fof(f2434,plain,
    ( spl0_2
    | ~ spl0_9
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2433]) ).

fof(f2433,plain,
    ( $false
    | spl0_2
    | ~ spl0_9
    | spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1257,f1,f2,f21,f3,f28,f26,f16,f11,f8,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f671,f5,f7,f10,f15,f24,f25,f35,f27,f20,f4,f826,f899,f901,f916,f915,f917,f918,f902,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f19,f14,f9,f13,f12,f18,f23,f17,f22,f42]) ).

fof(f2432,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2431]) ).

fof(f2431,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1834,f1,f2,f21,f3,f28,f26,f16,f11,f8,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f671,f5,f7,f10,f15,f24,f25,f35,f27,f20,f4,f826,f899,f901,f916,f915,f917,f918,f902,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f19,f14,f9,f13,f12,f18,f23,f17,f22,f42]) ).

fof(f1834,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1833,f1233]) ).

fof(f1833,plain,
    ( sk_c6 = sk_c7
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1817,f891]) ).

fof(f1817,plain,
    ( sk_c7 = multiply(sk_c6,identity)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(superposition,[],[f823,f1783]) ).

fof(f2430,plain,
    ( spl0_2
    | ~ spl0_9
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2429]) ).

fof(f2429,plain,
    ( $false
    | spl0_2
    | ~ spl0_9
    | spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1977,f1,f2,f21,f3,f28,f26,f16,f11,f8,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f671,f5,f7,f10,f15,f24,f25,f35,f27,f20,f4,f826,f899,f901,f916,f915,f917,f918,f902,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f19,f14,f9,f13,f12,f18,f23,f17,f22,f42]) ).

fof(f1977,plain,
    ( sk_c8 = sk_c7
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1976,f1]) ).

fof(f1976,plain,
    ( sk_c7 = multiply(identity,sk_c8)
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1960,f1559]) ).

fof(f1960,plain,
    ( sk_c7 = multiply(inverse(inverse(identity)),sk_c8)
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(superposition,[],[f831,f1233]) ).

fof(f2428,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2427]) ).

fof(f2427,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f2007,f1,f2,f21,f3,f28,f26,f16,f11,f8,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f671,f5,f7,f10,f15,f24,f25,f35,f27,f20,f4,f826,f899,f901,f916,f915,f917,f918,f902,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f19,f14,f9,f13,f12,f18,f23,f17,f22,f42]) ).

fof(f2007,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2006,f1233]) ).

fof(f2006,plain,
    ( sk_c6 = sk_c7
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1990,f891]) ).

fof(f1990,plain,
    ( sk_c7 = multiply(sk_c6,identity)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(superposition,[],[f823,f1783]) ).

fof(f2426,plain,
    ( spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2425]) ).

fof(f2425,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f2046,f1,f2,f21,f3,f28,f26,f16,f11,f8,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f671,f5,f7,f10,f15,f24,f25,f35,f27,f20,f4,f826,f899,f901,f916,f915,f917,f918,f902,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f19,f14,f9,f13,f12,f18,f23,f17,f22,f42]) ).

fof(f2046,plain,
    ( sk_c8 = multiply(identity,sk_c7)
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(superposition,[],[f883,f1252]) ).

fof(f883,plain,
    ( sk_c8 = multiply(sk_c3,sk_c7)
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(superposition,[],[f816,f829]) ).

fof(f2424,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2423]) ).

fof(f2423,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f2011,f1,f2,f21,f3,f28,f26,f16,f11,f8,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f671,f5,f7,f10,f15,f24,f25,f35,f27,f20,f4,f826,f899,f901,f916,f915,f917,f918,f902,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f19,f14,f9,f13,f12,f18,f23,f17,f22,f42]) ).

fof(f2011,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2010,f1]) ).

fof(f2010,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,X0)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2009,f1233]) ).

fof(f2009,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,X0)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1992,f1]) ).

fof(f1992,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c6,multiply(identity,X0))
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(superposition,[],[f830,f1783]) ).

fof(f2422,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2421]) ).

fof(f2421,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f2079,f1,f2,f21,f3,f28,f26,f16,f11,f8,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f671,f5,f7,f10,f15,f24,f25,f35,f27,f20,f4,f826,f899,f901,f916,f915,f917,f918,f902,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f19,f14,f9,f13,f12,f18,f23,f17,f22,f42]) ).

fof(f2079,plain,
    ( sk_c6 = multiply(sk_c7,identity)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2066,f1559]) ).

fof(f2066,plain,
    ( sk_c6 = multiply(inverse(inverse(sk_c7)),identity)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(superposition,[],[f987,f1830]) ).

fof(f987,plain,
    ( sk_c6 = multiply(inverse(inverse(sk_c7)),sk_c4)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(superposition,[],[f61,f983]) ).

fof(f983,plain,
    ( sk_c4 = multiply(inverse(sk_c7),sk_c6)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(superposition,[],[f61,f975]) ).

fof(f975,plain,
    ( sk_c6 = multiply(sk_c7,sk_c4)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f966,f891]) ).

fof(f966,plain,
    ( multiply(sk_c6,identity) = multiply(sk_c7,sk_c4)
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(superposition,[],[f830,f157]) ).

fof(f2420,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2419]) ).

fof(f2419,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f2013,f1,f2,f21,f3,f28,f26,f16,f11,f8,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f671,f5,f7,f10,f15,f24,f25,f35,f27,f20,f4,f826,f899,f901,f916,f915,f917,f918,f902,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f19,f14,f9,f13,f12,f18,f23,f17,f22,f42]) ).

fof(f2013,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2012,f1233]) ).

fof(f2012,plain,
    ( sk_c6 = sk_c7
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1993,f321]) ).

fof(f1993,plain,
    ( sk_c7 = multiply(inverse(inverse(sk_c6)),identity)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(superposition,[],[f831,f1783]) ).

fof(f2418,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2417]) ).

fof(f2417,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f2065,f1,f2,f21,f3,f28,f26,f16,f11,f8,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f671,f5,f7,f10,f15,f24,f25,f35,f27,f20,f4,f826,f899,f901,f916,f915,f917,f918,f902,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f19,f14,f9,f13,f12,f18,f23,f17,f22,f42]) ).

fof(f2065,plain,
    ( sk_c6 = multiply(sk_c7,identity)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(superposition,[],[f975,f1830]) ).

fof(f2416,plain,
    ( spl0_2
    | ~ spl0_9
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2415]) ).

fof(f2415,plain,
    ( $false
    | spl0_2
    | ~ spl0_9
    | spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1973,f1,f2,f21,f3,f28,f26,f16,f11,f8,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f671,f5,f7,f10,f15,f24,f25,f35,f27,f20,f4,f826,f899,f901,f916,f915,f917,f918,f902,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f19,f14,f9,f13,f12,f18,f23,f17,f22,f42]) ).

fof(f1973,plain,
    ( sk_c8 = sk_c7
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1957,f1]) ).

fof(f1957,plain,
    ( sk_c7 = multiply(identity,sk_c8)
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(superposition,[],[f823,f1233]) ).

fof(f2414,plain,
    ( spl0_2
    | ~ spl0_9
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2413]) ).

fof(f2413,plain,
    ( $false
    | spl0_2
    | ~ spl0_9
    | spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1974,f1,f2,f21,f3,f28,f26,f16,f11,f8,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f671,f5,f7,f10,f15,f24,f25,f35,f27,f20,f4,f826,f899,f901,f916,f915,f917,f918,f902,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f19,f14,f9,f13,f12,f18,f23,f17,f22,f42]) ).

fof(f1974,plain,
    ( sk_c8 = multiply(identity,sk_c7)
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1958,f481]) ).

fof(f1958,plain,
    ( sk_c8 = multiply(inverse(identity),sk_c7)
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(superposition,[],[f829,f1233]) ).

fof(f2412,plain,
    ( spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2411]) ).

fof(f2411,plain,
    ( $false
    | spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f21,f3,f28,f26,f16,f11,f8,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f671,f5,f7,f10,f15,f24,f25,f35,f27,f20,f4,f826,f899,f901,f916,f915,f917,f918,f902,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f19,f14,f9,f13,f12,f18,f23,f17,f22,f42]) ).

fof(f2410,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2409]) ).

fof(f2409,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f674,f1,f2,f21,f3,f28,f26,f16,f11,f8,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f671,f5,f7,f10,f15,f24,f25,f35,f27,f20,f4,f826,f899,f901,f916,f915,f917,f918,f902,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f42,f19,f14,f9,f13,f12,f18,f23,f17,f22]) ).

fof(f2408,plain,
    ( spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2407]) ).

fof(f2407,plain,
    ( $false
    | spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f21,f3,f28,f26,f16,f11,f8,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f671,f5,f7,f10,f15,f24,f25,f35,f27,f20,f4,f826,f899,f901,f916,f915,f917,f918,f902,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f42,f19,f14,f9,f13,f12,f18,f23,f17,f22]) ).

fof(f2406,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2405]) ).

fof(f2405,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f2303,f1,f2,f21,f3,f28,f26,f16,f11,f8,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f671,f5,f7,f10,f15,f24,f25,f35,f27,f20,f4,f826,f899,f901,f916,f915,f917,f918,f902,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f42,f22,f19,f14,f9,f13,f12,f18,f23,f17]) ).

fof(f2404,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2403]) ).

fof(f2403,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f2300,f1,f2,f21,f3,f28,f26,f16,f11,f8,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f671,f5,f7,f10,f15,f24,f25,f35,f27,f20,f4,f826,f899,f901,f916,f915,f917,f918,f902,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f42,f22,f19,f14,f9,f13,f12,f18,f23,f17]) ).

fof(f2402,plain,
    ( spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2401]) ).

fof(f2401,plain,
    ( $false
    | spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f21,f3,f28,f26,f16,f11,f8,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f671,f5,f7,f10,f15,f24,f25,f35,f27,f20,f4,f826,f899,f901,f916,f915,f917,f918,f902,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f42,f22,f19,f14,f9,f13,f12,f18,f23,f17]) ).

fof(f2400,plain,
    ( spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2399]) ).

fof(f2399,plain,
    ( $false
    | spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f21,f3,f28,f26,f16,f11,f8,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f671,f5,f7,f10,f15,f24,f25,f35,f27,f20,f4,f826,f899,f901,f916,f915,f917,f918,f902,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f42,f22,f17,f19,f14,f9,f13,f12,f18,f23]) ).

fof(f2398,plain,
    ( spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2397]) ).

fof(f2397,plain,
    ( $false
    | spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f21,f3,f28,f26,f16,f11,f8,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f671,f5,f7,f10,f15,f24,f25,f35,f27,f20,f4,f826,f899,f901,f916,f915,f917,f918,f902,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f42,f22,f17,f23,f19,f14,f9,f13,f12,f18]) ).

fof(f2396,plain,
    ( spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2395]) ).

fof(f2395,plain,
    ( $false
    | spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f21,f3,f28,f26,f16,f11,f8,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f671,f5,f7,f10,f15,f24,f25,f35,f27,f20,f4,f826,f899,f901,f916,f915,f917,f918,f902,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f42,f22,f17,f23,f18,f19,f14,f9,f13,f12]) ).

fof(f2394,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2393]) ).

fof(f2393,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1216,f1,f2,f21,f3,f28,f26,f16,f11,f8,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f671,f5,f7,f10,f15,f24,f25,f35,f27,f20,f4,f826,f899,f901,f916,f915,f917,f918,f902,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f42,f22,f17,f23,f18,f12,f19,f14,f9,f13]) ).

fof(f2392,plain,
    ( spl0_2
    | spl0_10
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2391]) ).

fof(f2391,plain,
    ( $false
    | spl0_2
    | spl0_10
    | spl0_11 ),
    inference(global_subsumption,[],[f1228,f1,f2,f21,f3,f28,f26,f16,f11,f8,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f671,f5,f7,f10,f15,f24,f25,f35,f27,f20,f4,f826,f899,f901,f916,f915,f917,f918,f902,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f42,f22,f17,f23,f18,f12,f19,f14,f9,f13]) ).

fof(f1228,plain,
    ( identity != sk_c2
    | spl0_11 ),
    inference(avatar_component_clause,[],[f1227]) ).

fof(f2390,plain,
    ( spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2389]) ).

fof(f2389,plain,
    ( $false
    | spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f21,f3,f28,f26,f16,f11,f8,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f671,f5,f7,f10,f15,f24,f25,f35,f27,f20,f4,f826,f899,f901,f916,f915,f917,f918,f902,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f42,f22,f17,f23,f18,f12,f19,f14,f9,f13]) ).

fof(f2388,plain,
    ( spl0_2
    | ~ spl0_7
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2387]) ).

fof(f2387,plain,
    ( $false
    | spl0_2
    | ~ spl0_7
    | spl0_10 ),
    inference(global_subsumption,[],[f2336,f1,f2,f21,f3,f28,f26,f16,f11,f8,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f671,f5,f7,f10,f15,f24,f25,f35,f27,f20,f4,f826,f899,f901,f916,f915,f917,f918,f902,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f42,f22,f17,f23,f18,f12,f13,f19,f14,f9]) ).

fof(f2386,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2385]) ).

fof(f2385,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_10 ),
    inference(global_subsumption,[],[f810,f1,f2,f21,f3,f28,f26,f16,f11,f8,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f671,f5,f7,f10,f15,f24,f25,f35,f27,f20,f4,f826,f899,f901,f916,f915,f917,f918,f902,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f42,f22,f17,f23,f18,f12,f13,f19,f14,f9]) ).

fof(f2384,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2383]) ).

fof(f2383,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_10 ),
    inference(global_subsumption,[],[f726,f1,f2,f21,f3,f28,f26,f16,f11,f8,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f671,f5,f7,f10,f15,f24,f25,f35,f27,f20,f4,f826,f899,f901,f916,f915,f917,f918,f902,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f42,f22,f17,f23,f18,f12,f13,f19,f14,f9]) ).

fof(f726,plain,
    ( identity = sk_c4
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f702,f1]) ).

fof(f702,plain,
    ( identity = multiply(identity,sk_c4)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f675,f698]) ).

fof(f698,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f696,f2]) ).

fof(f696,plain,
    ( sk_c6 = multiply(inverse(sk_c6),sk_c6)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f61,f692]) ).

fof(f692,plain,
    ( sk_c6 = multiply(sk_c6,sk_c6)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f691,f674]) ).

fof(f691,plain,
    ( sk_c6 = multiply(sk_c8,sk_c6)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f688,f165]) ).

fof(f688,plain,
    ( sk_c6 = multiply(inverse(sk_c5),sk_c6)
    | ~ spl0_1
    | spl0_2 ),
    inference(superposition,[],[f61,f681]) ).

fof(f2382,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2381]) ).

fof(f2381,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_10 ),
    inference(global_subsumption,[],[f745,f1,f2,f21,f3,f28,f26,f16,f11,f8,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f671,f5,f7,f10,f15,f24,f25,f35,f27,f20,f4,f826,f899,f901,f916,f915,f917,f918,f902,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f42,f22,f17,f23,f18,f12,f13,f19,f14,f9]) ).

fof(f745,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f744,f698]) ).

fof(f744,plain,
    ( sk_c6 = sk_c7
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f743,f674]) ).

fof(f743,plain,
    ( sk_c8 = sk_c7
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f735,f1]) ).

fof(f735,plain,
    ( sk_c7 = multiply(identity,sk_c8)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f645,f726]) ).

fof(f2380,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2379]) ).

fof(f2379,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_10 ),
    inference(global_subsumption,[],[f762,f1,f2,f21,f3,f28,f26,f16,f11,f8,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f671,f5,f7,f10,f15,f24,f25,f35,f27,f20,f4,f826,f899,f901,f916,f915,f917,f918,f902,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f42,f22,f17,f23,f18,f12,f13,f19,f14,f9]) ).

fof(f762,plain,
    ( identity = sk_c5
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f703,f1]) ).

fof(f703,plain,
    ( identity = multiply(identity,sk_c5)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f677,f698]) ).

fof(f677,plain,
    ( identity = multiply(sk_c6,sk_c5)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f171,f674]) ).

fof(f2378,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2377]) ).

fof(f2377,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_10 ),
    inference(global_subsumption,[],[f698,f1,f2,f21,f3,f28,f26,f16,f11,f8,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f671,f5,f7,f10,f15,f24,f25,f35,f27,f20,f4,f826,f899,f901,f916,f915,f917,f918,f902,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f42,f22,f17,f23,f18,f12,f13,f19,f14,f9]) ).

fof(f2376,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2375]) ).

fof(f2375,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_10 ),
    inference(global_subsumption,[],[f737,f1,f2,f21,f3,f28,f26,f16,f11,f8,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f671,f5,f7,f10,f15,f24,f25,f35,f27,f20,f4,f826,f899,f901,f916,f915,f917,f918,f902,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f42,f22,f17,f23,f18,f12,f13,f19,f14,f9]) ).

fof(f737,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f732,f481]) ).

fof(f732,plain,
    ( sk_c8 = inverse(identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f39,f726]) ).

fof(f2374,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2373]) ).

fof(f2373,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_10 ),
    inference(global_subsumption,[],[f2351,f1,f2,f21,f3,f28,f26,f16,f11,f8,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f671,f5,f7,f10,f15,f24,f25,f35,f27,f20,f4,f826,f899,f901,f916,f915,f917,f918,f902,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f42,f22,f17,f23,f18,f12,f13,f19,f14,f9]) ).

fof(f2372,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2371]) ).

fof(f2371,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_10 ),
    inference(global_subsumption,[],[f783,f1,f2,f21,f3,f28,f26,f16,f11,f8,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f671,f5,f7,f10,f15,f24,f25,f35,f27,f20,f4,f826,f899,f901,f916,f915,f917,f918,f902,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f42,f22,f17,f23,f18,f12,f13,f19,f14,f9]) ).

fof(f783,plain,
    ( identity = sk_c3
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f700,f1]) ).

fof(f700,plain,
    ( identity = multiply(identity,sk_c3)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f666,f698]) ).

fof(f2370,plain,
    ( spl0_2
    | ~ spl0_5
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2369]) ).

fof(f2369,plain,
    ( $false
    | spl0_2
    | ~ spl0_5
    | spl0_10 ),
    inference(global_subsumption,[],[f165,f1,f2,f21,f3,f28,f26,f16,f11,f8,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f671,f5,f7,f10,f15,f24,f25,f35,f27,f20,f4,f826,f899,f901,f916,f915,f917,f918,f902,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f42,f22,f17,f23,f18,f12,f13,f19,f14,f9]) ).

fof(f2368,plain,
    ( spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2367]) ).

fof(f2367,plain,
    ( $false
    | spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f21,f3,f28,f26,f16,f11,f8,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f671,f5,f7,f10,f15,f24,f25,f35,f27,f20,f4,f826,f899,f901,f916,f915,f917,f918,f902,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f42,f22,f17,f23,f18,f12,f13,f19,f14,f9]) ).

fof(f2366,plain,
    ( spl0_2
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2365]) ).

fof(f2365,plain,
    ( $false
    | spl0_2
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f2364,f1,f2,f21,f3,f28,f26,f16,f11,f8,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f671,f5,f7,f10,f15,f24,f25,f35,f27,f20,f4,f826,f899,f901,f916,f915,f917,f918,f902,f9,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f42,f22,f17,f23,f18,f12,f13,f19,f14]) ).

fof(f2363,plain,
    ( spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2362]) ).

fof(f2362,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(global_subsumption,[],[f1204,f1,f2,f21,f3,f28,f26,f16,f11,f8,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f671,f5,f7,f10,f15,f24,f25,f35,f27,f20,f4,f826,f899,f901,f916,f915,f917,f918,f902,f9,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f42,f22,f17,f23,f18,f12,f13,f19,f14]) ).

fof(f2361,plain,
    ( spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2360]) ).

fof(f2360,plain,
    ( $false
    | spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f21,f3,f28,f26,f16,f11,f8,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f671,f5,f7,f10,f15,f24,f25,f35,f27,f20,f4,f826,f899,f901,f916,f915,f917,f918,f902,f9,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f42,f22,f17,f23,f18,f12,f13,f19,f14]) ).

fof(f2359,plain,
    ( spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2358]) ).

fof(f2358,plain,
    ( $false
    | spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f21,f3,f28,f26,f16,f11,f8,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f671,f5,f7,f10,f14,f15,f24,f25,f35,f27,f20,f4,f826,f899,f901,f916,f915,f917,f918,f902,f9,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f42,f22,f17,f23,f18,f12,f13,f19]) ).

fof(f2357,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2356]) ).

fof(f2356,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f21,f3,f28,f26,f16,f11,f8,f6,f31,f39,f157,f159,f33,f171,f173,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f478,f479,f462,f461,f648,f341,f327,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f672,f671,f675,f676,f677,f678,f679,f680,f682,f683,f684,f685,f686,f681,f690,f689,f692,f697,f698,f701,f704,f705,f724,f725,f702,f727,f730,f731,f749,f750,f756,f758,f703,f763,f766,f767,f779,f5,f7,f10,f14,f15,f24,f25,f35,f27,f20,f19,f339,f809,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1215,f9,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f1232,f42,f674,f22,f2303,f2300,f17,f23,f18,f12,f1216,f13,f810,f726,f745,f762,f737,f2351,f165]) ).

fof(f779,plain,
    ( ! [X6,X7,X4,X5] :
        ( identity != multiply(X5,identity)
        | identity != multiply(X7,identity)
        | identity != multiply(identity,multiply(X4,identity))
        | identity != multiply(X6,identity)
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X7)
        | identity != inverse(X5) )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f725,f745]) ).

fof(f767,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c5,X0)) = X0
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f765,f1]) ).

fof(f765,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(identity,multiply(sk_c5,X0))
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f3,f703]) ).

fof(f766,plain,
    ( identity = sk_c5
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f764,f2]) ).

fof(f764,plain,
    ( sk_c5 = multiply(inverse(identity),identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f61,f703]) ).

fof(f763,plain,
    ( identity = sk_c5
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f1,f703]) ).

fof(f758,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f757,f1]) ).

fof(f757,plain,
    ( sk_c7 = multiply(identity,identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f752,f726]) ).

fof(f752,plain,
    ( sk_c7 = multiply(sk_c4,identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f645,f737]) ).

fof(f756,plain,
    ( identity = multiply(identity,sk_c7)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f751,f698]) ).

fof(f751,plain,
    ( sk_c6 = multiply(identity,sk_c7)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f644,f737]) ).

fof(f750,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c5,X0)) = X0
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f173,f737]) ).

fof(f749,plain,
    ( identity = multiply(identity,sk_c5)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f171,f737]) ).

fof(f731,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c4,X0)) = X0
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f729,f1]) ).

fof(f729,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(identity,multiply(sk_c4,X0))
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f3,f702]) ).

fof(f730,plain,
    ( identity = sk_c4
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f728,f2]) ).

fof(f728,plain,
    ( sk_c4 = multiply(inverse(identity),identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f61,f702]) ).

fof(f727,plain,
    ( identity = sk_c4
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f1,f702]) ).

fof(f725,plain,
    ( ! [X6,X7,X4,X5] :
        ( identity != sk_c7
        | identity != multiply(X5,identity)
        | identity != multiply(X7,identity)
        | identity != multiply(identity,multiply(X4,identity))
        | identity != multiply(X6,identity)
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X7)
        | identity != inverse(X5) )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(inner_rewriting,[],[f724]) ).

fof(f724,plain,
    ( ! [X6,X7,X4,X5] :
        ( identity != sk_c7
        | identity != multiply(X5,identity)
        | identity != multiply(X7,identity)
        | sk_c7 != multiply(identity,multiply(X4,identity))
        | sk_c7 != multiply(X6,identity)
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X7)
        | identity != inverse(X5) )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f723,f698]) ).

fof(f723,plain,
    ( ! [X6,X7,X4,X5] :
        ( sk_c6 != sk_c7
        | identity != multiply(X5,identity)
        | identity != multiply(X7,identity)
        | sk_c7 != multiply(identity,multiply(X4,identity))
        | sk_c7 != multiply(X6,identity)
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X7)
        | identity != inverse(X5) )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f722,f692]) ).

fof(f722,plain,
    ( ! [X6,X7,X4,X5] :
        ( sk_c7 != multiply(sk_c6,sk_c6)
        | identity != multiply(X5,identity)
        | identity != multiply(X7,identity)
        | sk_c7 != multiply(identity,multiply(X4,identity))
        | sk_c7 != multiply(X6,identity)
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X7)
        | identity != inverse(X5) )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f721,f674]) ).

fof(f721,plain,
    ( ! [X6,X7,X4,X5] :
        ( identity != multiply(X5,identity)
        | identity != multiply(X7,identity)
        | sk_c7 != multiply(identity,multiply(X4,identity))
        | sk_c7 != multiply(X6,identity)
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X7)
        | identity != inverse(X5)
        | multiply(sk_c6,sk_c8) != sk_c7 )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f720,f698]) ).

fof(f720,plain,
    ( ! [X6,X7,X4,X5] :
        ( sk_c6 != multiply(X5,identity)
        | identity != multiply(X7,identity)
        | sk_c7 != multiply(identity,multiply(X4,identity))
        | sk_c7 != multiply(X6,identity)
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X7)
        | identity != inverse(X5)
        | multiply(sk_c6,sk_c8) != sk_c7 )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f719,f674]) ).

fof(f719,plain,
    ( ! [X6,X7,X4,X5] :
        ( sk_c8 != multiply(X5,identity)
        | identity != multiply(X7,identity)
        | sk_c7 != multiply(identity,multiply(X4,identity))
        | sk_c7 != multiply(X6,identity)
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X7)
        | identity != inverse(X5)
        | multiply(sk_c6,sk_c8) != sk_c7 )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f718,f698]) ).

fof(f718,plain,
    ( ! [X6,X7,X4,X5] :
        ( identity != multiply(X7,identity)
        | sk_c7 != multiply(identity,multiply(X4,identity))
        | sk_c7 != multiply(X6,identity)
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X7)
        | identity != inverse(X5)
        | sk_c8 != multiply(X5,sk_c6)
        | multiply(sk_c6,sk_c8) != sk_c7 )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f717,f698]) ).

fof(f717,plain,
    ( ! [X6,X7,X4,X5] :
        ( sk_c6 != multiply(X7,sk_c6)
        | sk_c7 != multiply(identity,multiply(X4,identity))
        | sk_c7 != multiply(X6,identity)
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X7)
        | identity != inverse(X5)
        | sk_c8 != multiply(X5,sk_c6)
        | multiply(sk_c6,sk_c8) != sk_c7 )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f716,f674]) ).

fof(f716,plain,
    ( ! [X6,X7,X4,X5] :
        ( sk_c7 != multiply(identity,multiply(X4,identity))
        | sk_c7 != multiply(X6,identity)
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X7)
        | identity != inverse(X5)
        | sk_c6 != multiply(X7,sk_c8)
        | sk_c8 != multiply(X5,sk_c6)
        | multiply(sk_c6,sk_c8) != sk_c7 )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f715,f698]) ).

fof(f715,plain,
    ( ! [X6,X7,X4,X5] :
        ( sk_c7 != multiply(sk_c6,multiply(X4,sk_c6))
        | sk_c7 != multiply(X6,identity)
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X7)
        | identity != inverse(X5)
        | sk_c6 != multiply(X7,sk_c8)
        | sk_c8 != multiply(X5,sk_c6)
        | multiply(sk_c6,sk_c8) != sk_c7 )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f714,f674]) ).

fof(f714,plain,
    ( ! [X6,X7,X4,X5] :
        ( sk_c7 != multiply(X6,identity)
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X7)
        | identity != inverse(X5)
        | sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
        | sk_c6 != multiply(X7,sk_c8)
        | sk_c8 != multiply(X5,sk_c6)
        | multiply(sk_c6,sk_c8) != sk_c7 )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f713,f698]) ).

fof(f713,plain,
    ( ! [X6,X7,X4,X5] :
        ( sk_c7 != multiply(X6,sk_c6)
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X7)
        | identity != inverse(X5)
        | sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
        | sk_c6 != multiply(X7,sk_c8)
        | sk_c8 != multiply(X5,sk_c6)
        | multiply(sk_c6,sk_c8) != sk_c7 )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f712,f674]) ).

fof(f712,plain,
    ( ! [X6,X7,X4,X5] :
        ( identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X7)
        | identity != inverse(X5)
        | sk_c7 != multiply(X6,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
        | sk_c6 != multiply(X7,sk_c8)
        | sk_c8 != multiply(X5,sk_c6)
        | multiply(sk_c6,sk_c8) != sk_c7 )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f711,f698]) ).

fof(f711,plain,
    ( ! [X6,X7,X4,X5] :
        ( sk_c6 != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X7)
        | identity != inverse(X5)
        | sk_c7 != multiply(X6,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
        | sk_c6 != multiply(X7,sk_c8)
        | sk_c8 != multiply(X5,sk_c6)
        | multiply(sk_c6,sk_c8) != sk_c7 )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f710,f674]) ).

fof(f710,plain,
    ( ! [X6,X7,X4,X5] :
        ( identity != inverse(X6)
        | identity != inverse(X7)
        | identity != inverse(X5)
        | sk_c8 != inverse(X4)
        | sk_c7 != multiply(X6,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
        | sk_c6 != multiply(X7,sk_c8)
        | sk_c8 != multiply(X5,sk_c6)
        | multiply(sk_c6,sk_c8) != sk_c7 )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f709,f698]) ).

fof(f709,plain,
    ( ! [X6,X7,X4,X5] :
        ( sk_c6 != inverse(X6)
        | identity != inverse(X7)
        | identity != inverse(X5)
        | sk_c8 != inverse(X4)
        | sk_c7 != multiply(X6,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
        | sk_c6 != multiply(X7,sk_c8)
        | sk_c8 != multiply(X5,sk_c6)
        | multiply(sk_c6,sk_c8) != sk_c7 )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f708,f674]) ).

fof(f708,plain,
    ( ! [X6,X7,X4,X5] :
        ( identity != inverse(X7)
        | identity != inverse(X5)
        | sk_c8 != inverse(X6)
        | sk_c8 != inverse(X4)
        | sk_c7 != multiply(X6,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
        | sk_c6 != multiply(X7,sk_c8)
        | sk_c8 != multiply(X5,sk_c6)
        | multiply(sk_c6,sk_c8) != sk_c7 )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f707,f698]) ).

fof(f707,plain,
    ( ! [X6,X7,X4,X5] :
        ( sk_c6 != inverse(X7)
        | identity != inverse(X5)
        | sk_c8 != inverse(X6)
        | sk_c8 != inverse(X4)
        | sk_c7 != multiply(X6,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
        | sk_c6 != multiply(X7,sk_c8)
        | sk_c8 != multiply(X5,sk_c6)
        | multiply(sk_c6,sk_c8) != sk_c7 )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f706,f674]) ).

fof(f706,plain,
    ( ! [X6,X7,X4,X5] :
        ( identity != inverse(X5)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X6)
        | sk_c8 != inverse(X4)
        | sk_c7 != multiply(X6,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
        | sk_c6 != multiply(X7,sk_c8)
        | sk_c8 != multiply(X5,sk_c6)
        | multiply(sk_c6,sk_c8) != sk_c7 )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f648,f698]) ).

fof(f705,plain,
    ( sk_c7 = multiply(sk_c4,identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f680,f698]) ).

fof(f704,plain,
    ( identity = multiply(identity,sk_c7)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f679,f698]) ).

fof(f701,plain,
    ( identity = multiply(sk_c5,identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f681,f698]) ).

fof(f697,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c6,multiply(sk_c6,X0))
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f3,f692]) ).

fof(f690,plain,
    ( sk_c6 = multiply(sk_c6,sk_c6)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f687,f674]) ).

fof(f687,plain,
    ( sk_c6 = multiply(sk_c8,sk_c6)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f173,f681]) ).

fof(f678,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c5,X0)) = X0
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f173,f674]) ).

fof(f2355,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2354]) ).

fof(f2354,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_12 ),
    inference(global_subsumption,[],[f783,f1,f2,f21,f3,f28,f26,f16,f11,f8,f6,f31,f39,f157,f159,f33,f165,f171,f173,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f478,f479,f462,f461,f648,f341,f327,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f672,f671,f675,f676,f677,f678,f679,f680,f682,f683,f684,f685,f686,f681,f690,f689,f692,f697,f698,f701,f704,f705,f724,f725,f702,f727,f730,f731,f749,f750,f756,f758,f703,f763,f766,f767,f779,f5,f7,f10,f14,f15,f24,f25,f35,f27,f20,f19,f339,f809,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1215,f9,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f1232,f42,f674,f22,f2303,f2300,f17,f23,f18,f12,f1216,f13,f810,f726,f745,f762,f737,f2351]) ).

fof(f2353,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2352]) ).

fof(f2352,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f21,f3,f28,f26,f16,f11,f8,f6,f31,f39,f157,f159,f33,f165,f171,f173,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f478,f479,f462,f461,f648,f341,f327,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f672,f671,f675,f676,f677,f678,f679,f680,f682,f683,f684,f685,f686,f681,f690,f689,f692,f697,f698,f701,f704,f705,f724,f725,f702,f727,f730,f731,f749,f750,f756,f758,f703,f763,f766,f767,f779,f5,f7,f10,f14,f15,f24,f25,f35,f27,f20,f19,f339,f809,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1215,f9,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f1232,f42,f674,f22,f2303,f2300,f17,f23,f18,f12,f1216,f13,f810,f726,f745,f762,f737,f2351]) ).

fof(f2350,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2349]) ).

fof(f2349,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f21,f3,f28,f26,f16,f11,f8,f6,f31,f39,f157,f159,f33,f165,f171,f173,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f478,f479,f462,f461,f648,f341,f327,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f672,f671,f675,f676,f677,f678,f679,f680,f682,f683,f684,f685,f686,f681,f690,f689,f692,f697,f698,f701,f704,f705,f724,f725,f702,f727,f730,f731,f749,f750,f756,f758,f703,f763,f766,f767,f779,f5,f7,f10,f14,f15,f24,f25,f35,f27,f20,f19,f339,f809,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1215,f9,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f1232,f42,f674,f22,f2303,f2300,f17,f23,f18,f12,f1216,f13,f810,f726,f745,f762,f737]) ).

fof(f2348,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2347]) ).

fof(f2347,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(subsumption_resolution,[],[f698,f1232]) ).

fof(f2346,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2345]) ).

fof(f2345,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f21,f3,f28,f26,f16,f11,f8,f6,f31,f39,f157,f159,f33,f165,f171,f173,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f478,f479,f462,f461,f648,f341,f327,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f672,f671,f675,f676,f677,f678,f679,f680,f682,f683,f684,f685,f686,f681,f690,f689,f692,f697,f698,f701,f704,f705,f724,f725,f702,f727,f730,f731,f737,f749,f750,f756,f758,f703,f763,f766,f767,f779,f5,f7,f10,f14,f15,f24,f25,f35,f27,f20,f19,f339,f809,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1215,f9,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f1232,f42,f674,f22,f2303,f2300,f17,f23,f18,f12,f1216,f13,f810,f726,f745,f762]) ).

fof(f2344,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2343]) ).

fof(f2343,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f21,f3,f28,f26,f16,f11,f8,f6,f31,f39,f157,f159,f33,f165,f171,f173,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f478,f479,f462,f461,f648,f341,f327,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f672,f671,f675,f676,f677,f678,f679,f680,f682,f683,f684,f685,f686,f681,f690,f689,f692,f697,f698,f701,f704,f705,f724,f725,f702,f727,f730,f731,f737,f749,f750,f756,f758,f703,f763,f766,f767,f762,f779,f5,f7,f10,f14,f15,f24,f25,f35,f27,f20,f19,f339,f809,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1215,f9,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f1232,f42,f674,f22,f2303,f2300,f17,f23,f18,f12,f1216,f13,f810,f726,f745]) ).

fof(f2342,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2341]) ).

fof(f2341,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f21,f3,f28,f26,f16,f11,f8,f6,f31,f39,f157,f159,f33,f165,f171,f173,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f478,f479,f462,f461,f648,f341,f327,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f672,f671,f675,f676,f677,f678,f679,f680,f682,f683,f684,f685,f686,f681,f690,f689,f692,f697,f698,f701,f704,f705,f724,f725,f702,f727,f730,f731,f737,f749,f750,f756,f758,f745,f703,f763,f766,f767,f762,f779,f5,f7,f10,f14,f15,f24,f25,f35,f27,f20,f19,f339,f809,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1215,f9,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f1232,f42,f674,f22,f2303,f2300,f17,f23,f18,f12,f1216,f13,f810,f726]) ).

fof(f2340,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2339]) ).

fof(f2339,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f21,f3,f28,f26,f16,f11,f8,f6,f31,f39,f157,f159,f33,f165,f171,f173,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f478,f479,f462,f461,f648,f341,f327,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f672,f671,f675,f676,f677,f678,f679,f680,f682,f683,f684,f685,f686,f681,f690,f689,f692,f697,f698,f701,f704,f705,f724,f725,f702,f727,f730,f731,f726,f737,f749,f750,f756,f758,f745,f703,f763,f766,f767,f762,f779,f5,f7,f10,f14,f15,f24,f25,f35,f27,f20,f19,f339,f809,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1215,f9,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f1232,f42,f674,f22,f2303,f2300,f17,f23,f18,f12,f1216,f13,f810]) ).

fof(f2338,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_7
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2337]) ).

fof(f2337,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_7
    | spl0_12 ),
    inference(global_subsumption,[],[f2336,f1,f2,f21,f3,f28,f26,f16,f11,f8,f6,f31,f39,f157,f159,f33,f165,f171,f173,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f478,f479,f462,f461,f648,f341,f327,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f672,f671,f675,f676,f677,f678,f679,f680,f682,f683,f684,f685,f686,f681,f690,f689,f692,f697,f698,f701,f704,f705,f724,f725,f702,f727,f730,f731,f726,f737,f749,f750,f756,f758,f745,f703,f763,f766,f767,f762,f779,f5,f7,f10,f14,f15,f24,f25,f35,f27,f20,f19,f339,f809,f810,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1215,f9,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f1232,f42,f674,f22,f2303,f2300,f17,f23,f18,f12,f1216,f13]) ).

fof(f2335,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2334]) ).

fof(f2334,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f21,f3,f28,f26,f16,f11,f8,f6,f31,f39,f157,f159,f33,f165,f171,f173,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f478,f479,f462,f461,f648,f341,f327,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f672,f671,f675,f676,f677,f678,f679,f680,f682,f683,f684,f685,f686,f681,f690,f689,f692,f697,f698,f701,f704,f705,f724,f725,f702,f727,f730,f731,f726,f737,f749,f750,f756,f758,f745,f703,f763,f766,f767,f762,f779,f5,f7,f10,f14,f15,f24,f25,f35,f27,f20,f19,f339,f809,f810,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1215,f9,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f1232,f42,f674,f22,f2303,f2300,f17,f23,f18,f12,f1216,f13]) ).

fof(f2333,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2332]) ).

fof(f2332,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f1228,f1,f2,f21,f3,f28,f26,f16,f13,f11,f8,f6,f31,f39,f157,f159,f33,f165,f171,f173,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f478,f479,f462,f461,f648,f341,f327,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f672,f671,f675,f676,f677,f678,f679,f680,f682,f683,f684,f685,f686,f681,f690,f689,f692,f697,f698,f701,f704,f705,f724,f725,f702,f727,f730,f731,f726,f737,f749,f750,f756,f758,f745,f703,f763,f766,f767,f762,f779,f5,f7,f10,f14,f15,f24,f25,f35,f27,f20,f19,f339,f809,f810,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1215,f9,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f1232,f42,f674,f22,f2303,f2300,f17,f23,f18,f12,f1216]) ).

fof(f2331,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2330]) ).

fof(f2330,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f21,f3,f28,f26,f16,f13,f11,f8,f6,f31,f39,f157,f159,f33,f165,f171,f173,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f478,f479,f462,f461,f648,f341,f327,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f672,f671,f675,f676,f677,f678,f679,f680,f682,f683,f684,f685,f686,f681,f690,f689,f692,f697,f698,f701,f704,f705,f724,f725,f702,f727,f730,f731,f726,f737,f749,f750,f756,f758,f745,f703,f763,f766,f767,f762,f779,f5,f7,f10,f14,f15,f24,f25,f35,f27,f20,f19,f339,f809,f810,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1215,f9,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f1232,f42,f674,f22,f2303,f2300,f17,f23,f18,f12,f1216]) ).

fof(f2329,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2328]) ).

fof(f2328,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f21,f3,f28,f26,f16,f13,f11,f8,f6,f31,f39,f157,f159,f33,f165,f171,f173,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f478,f479,f462,f461,f648,f341,f327,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f672,f671,f675,f676,f677,f678,f679,f680,f682,f683,f684,f685,f686,f681,f690,f689,f692,f697,f698,f701,f704,f705,f724,f725,f702,f727,f730,f731,f726,f737,f749,f750,f756,f758,f745,f703,f763,f766,f767,f762,f779,f5,f7,f10,f14,f15,f24,f25,f35,f27,f20,f19,f339,f809,f810,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1215,f9,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f1232,f1216,f42,f674,f22,f2303,f2300,f17,f23,f18,f12]) ).

fof(f2327,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2326]) ).

fof(f2326,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f21,f3,f28,f26,f16,f13,f11,f8,f6,f31,f39,f157,f159,f33,f165,f171,f173,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f478,f479,f462,f461,f648,f341,f327,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f672,f671,f675,f676,f677,f678,f679,f680,f682,f683,f684,f685,f686,f681,f690,f689,f692,f697,f698,f701,f704,f705,f724,f725,f702,f727,f730,f731,f726,f737,f749,f750,f756,f758,f745,f703,f763,f766,f767,f762,f779,f5,f7,f10,f14,f15,f24,f25,f35,f27,f20,f19,f339,f809,f810,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1215,f9,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f1232,f1216,f12,f42,f674,f22,f2303,f2300,f17,f23,f18]) ).

fof(f2325,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2324]) ).

fof(f2324,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f21,f3,f28,f26,f18,f16,f13,f11,f8,f6,f31,f39,f157,f159,f33,f165,f171,f173,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f478,f479,f462,f461,f648,f341,f327,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f672,f671,f675,f676,f677,f678,f679,f680,f682,f683,f684,f685,f686,f681,f690,f689,f692,f697,f698,f701,f704,f705,f724,f725,f702,f727,f730,f731,f726,f737,f749,f750,f756,f758,f745,f703,f763,f766,f767,f762,f779,f5,f7,f10,f14,f15,f24,f25,f35,f27,f20,f19,f339,f809,f810,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1215,f9,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f1232,f1216,f12,f42,f674,f22,f2303,f2300,f17,f23]) ).

fof(f2323,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2322]) ).

fof(f2322,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(global_subsumption,[],[f23,f1,f2,f21,f3,f28,f26,f18,f16,f13,f11,f8,f6,f31,f39,f157,f159,f33,f165,f171,f173,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f478,f479,f462,f461,f648,f341,f327,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f672,f671,f675,f676,f677,f678,f679,f680,f682,f683,f684,f685,f686,f681,f690,f689,f692,f697,f698,f701,f704,f705,f724,f725,f702,f727,f730,f731,f726,f737,f749,f750,f756,f758,f745,f703,f763,f766,f767,f762,f779,f5,f7,f10,f14,f15,f24,f25,f35,f27,f20,f19,f339,f809,f810,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1215,f9,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f1232,f1216,f12,f42,f674,f22,f2303,f2300,f17]) ).

fof(f2321,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2320]) ).

fof(f2320,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(global_subsumption,[],[f23,f1,f2,f21,f3,f28,f26,f18,f16,f13,f11,f8,f6,f31,f39,f157,f159,f33,f165,f171,f173,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f478,f479,f462,f461,f648,f341,f327,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f672,f671,f675,f676,f677,f678,f679,f680,f682,f683,f684,f685,f686,f681,f690,f689,f692,f697,f698,f701,f704,f705,f724,f725,f702,f727,f730,f731,f726,f737,f749,f750,f756,f758,f745,f703,f763,f766,f767,f762,f779,f5,f7,f10,f14,f15,f24,f25,f35,f27,f20,f19,f339,f809,f810,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1215,f9,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f1232,f1216,f12,f17,f42,f674,f22,f2303,f2300]) ).

fof(f2319,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2318]) ).

fof(f2318,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(global_subsumption,[],[f23,f1,f2,f21,f3,f28,f26,f18,f16,f13,f11,f8,f6,f31,f39,f157,f159,f33,f165,f171,f173,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f478,f479,f462,f461,f648,f341,f327,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f672,f671,f675,f676,f677,f678,f679,f680,f682,f683,f684,f685,f686,f681,f690,f689,f692,f697,f698,f701,f704,f705,f724,f725,f702,f727,f730,f731,f726,f737,f749,f750,f756,f758,f745,f703,f763,f766,f767,f762,f779,f5,f7,f10,f14,f15,f24,f25,f35,f27,f20,f19,f339,f809,f810,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1215,f9,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f1232,f1216,f12,f17,f2300,f42,f674,f22,f2303]) ).

fof(f2317,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2316]) ).

fof(f2316,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(global_subsumption,[],[f23,f1,f2,f21,f3,f28,f26,f18,f16,f13,f11,f8,f6,f31,f39,f157,f159,f33,f165,f171,f173,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f478,f479,f462,f461,f648,f341,f327,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f672,f671,f675,f676,f677,f678,f679,f680,f682,f683,f684,f685,f686,f681,f690,f689,f692,f697,f698,f701,f704,f705,f724,f725,f702,f727,f730,f731,f726,f737,f749,f750,f756,f758,f745,f703,f763,f766,f767,f762,f779,f5,f7,f10,f14,f15,f24,f25,f35,f27,f20,f19,f339,f809,f810,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1215,f9,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f1232,f1216,f12,f17,f2300,f2303,f42,f674,f22]) ).

fof(f2315,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2314]) ).

fof(f2314,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(global_subsumption,[],[f23,f1,f2,f21,f3,f28,f26,f18,f16,f13,f11,f8,f6,f31,f39,f157,f159,f33,f165,f171,f173,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f478,f479,f462,f461,f648,f341,f327,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f672,f671,f675,f676,f677,f678,f679,f680,f682,f683,f684,f685,f686,f681,f690,f689,f692,f697,f698,f701,f704,f705,f724,f725,f702,f727,f730,f731,f726,f737,f749,f750,f756,f758,f745,f703,f763,f766,f767,f762,f779,f5,f7,f10,f14,f15,f24,f25,f35,f27,f20,f19,f339,f809,f810,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1215,f9,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f1232,f1216,f12,f17,f2300,f2303,f22,f42,f674]) ).

fof(f2313,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2312]) ).

fof(f2312,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(global_subsumption,[],[f23,f1,f2,f21,f3,f28,f26,f18,f16,f13,f11,f8,f6,f31,f39,f157,f159,f33,f165,f171,f173,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f478,f479,f462,f461,f648,f341,f327,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f672,f671,f675,f676,f677,f678,f679,f680,f682,f683,f684,f685,f686,f681,f690,f689,f692,f697,f698,f701,f704,f705,f724,f725,f702,f727,f730,f731,f726,f737,f749,f750,f756,f758,f745,f703,f763,f766,f767,f762,f779,f5,f7,f10,f14,f15,f24,f25,f35,f27,f20,f19,f339,f809,f810,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1215,f9,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f1232,f1216,f12,f17,f2300,f2303,f22,f674,f42]) ).

fof(f2311,plain,
    ( spl0_2
    | spl0_5 ),
    inference(avatar_contradiction_clause,[],[f2310]) ).

fof(f2310,plain,
    ( $false
    | spl0_2
    | spl0_5 ),
    inference(global_subsumption,[],[f23,f1,f2,f21,f3,f28,f26,f18,f16,f13,f11,f8,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f644,f667,f668,f645,f671,f5,f7,f10,f14,f15,f24,f25,f35,f27,f20,f19,f4,f9,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f164,f2259,f12,f2292,f2295,f17,f22,f42]) ).

fof(f2309,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_5 ),
    inference(avatar_contradiction_clause,[],[f2308]) ).

fof(f2308,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_5 ),
    inference(global_subsumption,[],[f674,f23,f1,f2,f21,f3,f28,f26,f18,f16,f13,f11,f8,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f42,f644,f667,f668,f645,f671,f5,f7,f10,f14,f15,f24,f25,f35,f27,f20,f19,f4,f9,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f164,f2259,f12,f2292,f2295,f17,f22]) ).

fof(f2307,plain,
    ( spl0_2
    | spl0_5 ),
    inference(avatar_contradiction_clause,[],[f2306]) ).

fof(f2306,plain,
    ( $false
    | spl0_2
    | spl0_5 ),
    inference(global_subsumption,[],[f23,f1,f2,f21,f3,f28,f26,f18,f16,f13,f11,f8,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f42,f644,f667,f668,f645,f671,f5,f7,f10,f14,f15,f24,f25,f35,f27,f20,f19,f4,f9,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f164,f2259,f12,f2292,f2295,f17,f22]) ).

fof(f2305,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_5 ),
    inference(avatar_contradiction_clause,[],[f2304]) ).

fof(f2304,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_5 ),
    inference(global_subsumption,[],[f2303,f23,f1,f2,f21,f3,f28,f26,f18,f16,f13,f11,f8,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f42,f644,f667,f668,f645,f671,f5,f7,f10,f14,f15,f24,f25,f35,f27,f22,f20,f19,f4,f9,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f164,f2259,f12,f2292,f2295,f17]) ).

fof(f2302,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_5 ),
    inference(avatar_contradiction_clause,[],[f2301]) ).

fof(f2301,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_5 ),
    inference(global_subsumption,[],[f2300,f23,f1,f2,f21,f3,f28,f26,f18,f16,f13,f11,f8,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f42,f644,f667,f668,f645,f671,f5,f7,f10,f14,f15,f24,f25,f35,f27,f22,f20,f19,f4,f9,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f164,f2259,f12,f2292,f2295,f17]) ).

fof(f2299,plain,
    ( spl0_2
    | spl0_5 ),
    inference(avatar_contradiction_clause,[],[f2298]) ).

fof(f2298,plain,
    ( $false
    | spl0_2
    | spl0_5 ),
    inference(global_subsumption,[],[f23,f1,f2,f21,f3,f28,f26,f18,f16,f13,f11,f8,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f42,f644,f667,f668,f645,f671,f5,f7,f10,f14,f15,f24,f25,f35,f27,f22,f20,f19,f4,f9,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f164,f2259,f12,f2292,f2295,f17]) ).

fof(f2297,plain,
    ( spl0_2
    | spl0_5 ),
    inference(avatar_contradiction_clause,[],[f2296]) ).

fof(f2296,plain,
    ( $false
    | spl0_2
    | spl0_5 ),
    inference(global_subsumption,[],[f23,f1,f2,f21,f3,f28,f26,f18,f16,f13,f11,f8,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f42,f644,f667,f668,f645,f671,f5,f7,f10,f14,f15,f17,f24,f25,f35,f27,f22,f20,f19,f4,f9,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f164,f2259,f12,f2292,f2295]) ).

fof(f2294,plain,
    ( spl0_2
    | spl0_5 ),
    inference(avatar_contradiction_clause,[],[f2293]) ).

fof(f2293,plain,
    ( $false
    | spl0_2
    | spl0_5 ),
    inference(global_subsumption,[],[f23,f1,f2,f21,f3,f28,f26,f18,f16,f13,f11,f8,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f42,f644,f667,f668,f645,f671,f5,f7,f10,f14,f15,f17,f24,f25,f35,f27,f22,f20,f19,f4,f9,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f164,f2259,f12,f2292]) ).

fof(f2291,plain,
    ( spl0_2
    | spl0_5 ),
    inference(avatar_contradiction_clause,[],[f2290]) ).

fof(f2290,plain,
    ( $false
    | spl0_2
    | spl0_5 ),
    inference(global_subsumption,[],[f23,f1,f2,f21,f3,f28,f26,f18,f16,f13,f11,f8,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f42,f644,f667,f668,f645,f671,f5,f7,f10,f14,f15,f17,f24,f25,f35,f27,f22,f20,f19,f4,f9,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f164,f2259,f12]) ).

fof(f2289,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_5 ),
    inference(avatar_contradiction_clause,[],[f2288]) ).

fof(f2288,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_5 ),
    inference(global_subsumption,[],[f1216,f23,f1,f2,f21,f3,f28,f26,f18,f16,f13,f11,f8,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f42,f644,f667,f668,f645,f671,f5,f7,f10,f14,f15,f17,f24,f25,f35,f27,f22,f20,f19,f4,f9,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f164,f2259,f12]) ).

fof(f2287,plain,
    ( spl0_2
    | spl0_5
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2286]) ).

fof(f2286,plain,
    ( $false
    | spl0_2
    | spl0_5
    | spl0_11 ),
    inference(global_subsumption,[],[f1228,f23,f1,f2,f21,f3,f28,f26,f18,f16,f13,f11,f8,f6,f31,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f32,f660,f30,f661,f29,f662,f42,f644,f667,f668,f645,f671,f5,f7,f10,f14,f15,f17,f24,f25,f35,f27,f22,f20,f19,f4,f9,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f164,f2259,f12]) ).

fof(f2285,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2284]) ).

fof(f2284,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | spl0_11 ),
    inference(global_subsumption,[],[f23,f1,f2,f21,f45,f3,f64,f28,f26,f18,f16,f13,f11,f8,f6,f31,f39,f157,f159,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f478,f461,f32,f30,f29,f5,f7,f10,f14,f15,f17,f24,f25,f35,f27,f22,f797,f20,f798,f19,f799,f43,f800,f801,f802,f803,f804,f806,f339,f809,f817,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1213,f9,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f164,f2259,f2261,f1207,f12,f1216,f1211,f1299,f1228]) ).

fof(f1299,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(subsumption_resolution,[],[f1211,f1228]) ).

fof(f1211,plain,
    ( identity = sk_c7
    | identity = sk_c2
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1210,f850]) ).

fof(f1210,plain,
    ( identity = sk_c2
    | sk_c7 = multiply(sk_c4,sk_c8)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1098,f850]) ).

fof(f1098,plain,
    ( multiply(sk_c4,sk_c8) = sk_c2
    | sk_c7 = multiply(sk_c4,sk_c8)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f15,f817]) ).

fof(f1207,plain,
    ( identity = sk_c2
    | sk_c6 = multiply(sk_c5,sk_c8)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1111,f850]) ).

fof(f1111,plain,
    ( multiply(sk_c4,sk_c8) = sk_c2
    | sk_c6 = multiply(sk_c5,sk_c8)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f17,f817]) ).

fof(f2261,plain,
    ( identity = sk_c2
    | ~ spl0_1
    | ~ spl0_2
    | spl0_5 ),
    inference(forward_demodulation,[],[f2260,f850]) ).

fof(f2260,plain,
    ( multiply(sk_c4,sk_c8) = sk_c2
    | ~ spl0_1
    | ~ spl0_2
    | spl0_5 ),
    inference(subsumption_resolution,[],[f2232,f164]) ).

fof(f2232,plain,
    ( multiply(sk_c4,sk_c8) = sk_c2
    | sk_c8 = inverse(sk_c5)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f18,f817]) ).

fof(f1213,plain,
    ( identity = sk_c2
    | sk_c6 = multiply(sk_c8,sk_c7)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1212,f850]) ).

fof(f1212,plain,
    ( multiply(sk_c4,sk_c8) = sk_c2
    | sk_c6 = multiply(sk_c8,sk_c7)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f14,f817]) ).

fof(f806,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f805,f1]) ).

fof(f805,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c1,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f803]) ).

fof(f802,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f61,f43]) ).

fof(f801,plain,
    ( sk_c1 = multiply(inverse(sk_c8),identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f321,f43]) ).

fof(f800,plain,
    ( identity = multiply(inverse(inverse(sk_c8)),sk_c1)
    | ~ spl0_2 ),
    inference(superposition,[],[f464,f43]) ).

fof(f799,plain,
    ( sk_c8 = inverse(sk_c1)
    | ~ spl0_2 ),
    inference(global_subsumption,[],[f23,f1,f2,f21,f43,f45,f3,f64,f28,f26,f18,f16,f13,f11,f8,f6,f31,f33,f61,f324,f332,f321,f476,f464,f482,f495,f484,f481,f32,f30,f29,f4,f5,f7,f9,f10,f12,f14,f15,f17,f24,f25,f35,f27,f22,f797,f20,f798,f19]) ).

fof(f798,plain,
    ( sk_c8 = inverse(sk_c1)
    | ~ spl0_2 ),
    inference(global_subsumption,[],[f23,f1,f2,f21,f43,f45,f3,f64,f28,f26,f18,f16,f13,f11,f8,f6,f31,f33,f61,f324,f332,f321,f476,f464,f482,f495,f484,f481,f19,f32,f30,f29,f4,f5,f7,f9,f10,f12,f14,f15,f17,f24,f25,f35,f27,f22,f797,f20]) ).

fof(f797,plain,
    ( sk_c8 = inverse(sk_c1)
    | ~ spl0_2 ),
    inference(global_subsumption,[],[f23,f1,f2,f21,f43,f45,f3,f64,f28,f26,f18,f16,f13,f11,f8,f6,f31,f33,f61,f324,f332,f321,f476,f464,f482,f495,f484,f481,f19,f20,f32,f30,f29,f4,f5,f7,f9,f10,f12,f14,f15,f17,f24,f25,f35,f27,f22]) ).

fof(f2283,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2282]) ).

fof(f2282,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | spl0_11 ),
    inference(global_subsumption,[],[f23,f1,f2,f21,f45,f3,f64,f28,f26,f18,f16,f13,f11,f8,f6,f31,f39,f157,f159,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f478,f461,f32,f30,f29,f5,f7,f10,f14,f15,f17,f24,f25,f35,f27,f22,f797,f20,f798,f19,f799,f43,f800,f801,f802,f803,f804,f806,f339,f809,f817,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1213,f9,f1228,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f164,f2259,f2261,f1207,f12,f1216,f1211,f1299]) ).

fof(f2281,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_10
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2280]) ).

fof(f2280,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_10
    | spl0_11 ),
    inference(global_subsumption,[],[f1301,f23,f1,f2,f21,f45,f3,f64,f28,f26,f18,f16,f13,f11,f8,f6,f31,f39,f157,f159,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f478,f461,f32,f30,f29,f5,f7,f10,f14,f15,f17,f24,f25,f35,f27,f22,f797,f20,f798,f19,f799,f43,f800,f801,f802,f803,f804,f806,f339,f809,f817,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1213,f9,f1228,f1299,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f164,f2259,f2261,f1207,f12,f1216,f1211]) ).

fof(f1301,plain,
    ( sk_c6 = multiply(sk_c8,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | spl0_11 ),
    inference(superposition,[],[f827,f1299]) ).

fof(f2279,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2278]) ).

fof(f2278,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_11 ),
    inference(global_subsumption,[],[f1320,f23,f1,f2,f21,f45,f3,f64,f28,f26,f18,f16,f13,f11,f8,f6,f31,f39,f157,f159,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f478,f461,f32,f30,f29,f5,f7,f10,f14,f15,f17,f24,f25,f35,f27,f22,f797,f20,f798,f19,f799,f43,f800,f801,f802,f803,f804,f806,f339,f809,f817,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1213,f9,f1228,f1299,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f164,f2259,f2261,f1207,f12,f1216,f1211]) ).

fof(f1320,plain,
    ( sk_c6 = multiply(identity,sk_c4)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_11 ),
    inference(forward_demodulation,[],[f1319,f481]) ).

fof(f1319,plain,
    ( sk_c6 = multiply(inverse(identity),sk_c4)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_11 ),
    inference(forward_demodulation,[],[f1307,f481]) ).

fof(f1307,plain,
    ( sk_c6 = multiply(inverse(inverse(identity)),sk_c4)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_11 ),
    inference(superposition,[],[f987,f1299]) ).

fof(f2277,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2276]) ).

fof(f2276,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_11 ),
    inference(global_subsumption,[],[f1303,f23,f1,f2,f21,f45,f3,f64,f28,f26,f18,f16,f13,f11,f8,f6,f31,f39,f157,f159,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f478,f461,f32,f30,f29,f5,f7,f10,f14,f15,f17,f24,f25,f35,f27,f22,f797,f20,f798,f19,f799,f43,f800,f801,f802,f803,f804,f806,f339,f809,f817,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1213,f9,f1228,f1299,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f164,f2259,f2261,f1207,f12,f1216,f1211]) ).

fof(f1303,plain,
    ( sk_c8 = multiply(sk_c3,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_11 ),
    inference(superposition,[],[f883,f1299]) ).

fof(f2275,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2274]) ).

fof(f2274,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_11 ),
    inference(global_subsumption,[],[f1305,f23,f1,f2,f21,f45,f3,f64,f28,f26,f18,f16,f13,f11,f8,f6,f31,f39,f157,f159,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f478,f461,f32,f30,f29,f5,f7,f10,f14,f15,f17,f24,f25,f35,f27,f22,f797,f20,f798,f19,f799,f43,f800,f801,f802,f803,f804,f806,f339,f809,f817,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1213,f9,f1228,f1299,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f164,f2259,f2261,f1207,f12,f1216,f1211]) ).

fof(f1305,plain,
    ( sk_c6 = multiply(identity,sk_c4)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_11 ),
    inference(superposition,[],[f975,f1299]) ).

fof(f2273,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2272]) ).

fof(f2272,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_11 ),
    inference(global_subsumption,[],[f1311,f23,f1,f2,f21,f45,f3,f64,f28,f26,f18,f16,f13,f11,f8,f6,f31,f39,f157,f159,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f478,f461,f32,f30,f29,f5,f7,f10,f14,f15,f17,f24,f25,f35,f27,f22,f797,f20,f798,f19,f799,f43,f800,f801,f802,f803,f804,f806,f339,f809,f817,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1213,f9,f1228,f1299,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f164,f2259,f2261,f1207,f12,f1216,f1211]) ).

fof(f1311,plain,
    ( sk_c8 = multiply(sk_c3,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_11 ),
    inference(forward_demodulation,[],[f1302,f942]) ).

fof(f942,plain,
    ( sk_c3 = inverse(sk_c6)
    | ~ spl0_6 ),
    inference(superposition,[],[f843,f321]) ).

fof(f843,plain,
    ( sk_c3 = multiply(inverse(inverse(inverse(sk_c6))),identity)
    | ~ spl0_6 ),
    inference(superposition,[],[f61,f814]) ).

fof(f814,plain,
    ( identity = multiply(inverse(inverse(sk_c6)),sk_c3)
    | ~ spl0_6 ),
    inference(superposition,[],[f61,f693]) ).

fof(f1302,plain,
    ( sk_c8 = multiply(inverse(sk_c6),identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_11 ),
    inference(superposition,[],[f829,f1299]) ).

fof(f2271,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2270]) ).

fof(f2270,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | spl0_11 ),
    inference(global_subsumption,[],[f23,f1,f2,f21,f45,f3,f64,f28,f26,f18,f16,f13,f11,f8,f6,f31,f39,f157,f159,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f478,f461,f32,f30,f29,f5,f7,f10,f14,f15,f17,f24,f25,f35,f27,f22,f797,f20,f798,f19,f799,f43,f800,f801,f802,f803,f804,f806,f339,f809,f817,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1213,f9,f1228,f1299,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f164,f2259,f2261,f1207,f12,f1216,f1211]) ).

fof(f2269,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2268]) ).

fof(f2268,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | spl0_11 ),
    inference(global_subsumption,[],[f23,f1,f2,f21,f45,f3,f64,f28,f26,f18,f16,f13,f11,f8,f6,f31,f39,f157,f159,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f478,f461,f32,f30,f29,f5,f7,f10,f14,f15,f17,f24,f25,f35,f27,f22,f797,f20,f798,f19,f799,f43,f800,f801,f802,f803,f804,f806,f339,f809,f817,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1211,f1213,f9,f1228,f1299,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f164,f2259,f2261,f1207,f12,f1216]) ).

fof(f2267,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2266]) ).

fof(f2266,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | spl0_11 ),
    inference(global_subsumption,[],[f23,f1,f2,f21,f45,f3,f64,f28,f26,f18,f16,f13,f11,f8,f6,f31,f39,f157,f159,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f478,f461,f32,f30,f29,f5,f7,f10,f14,f15,f17,f24,f25,f35,f27,f22,f797,f20,f798,f19,f799,f43,f800,f801,f802,f803,f804,f806,f339,f809,f817,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1211,f1213,f1216,f9,f1228,f1299,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f164,f2259,f2261,f1207,f12]) ).

fof(f2265,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2264]) ).

fof(f2264,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | spl0_11 ),
    inference(global_subsumption,[],[f23,f1,f2,f21,f45,f3,f64,f28,f26,f18,f16,f13,f11,f8,f6,f31,f39,f157,f159,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f478,f461,f32,f30,f29,f5,f7,f10,f12,f14,f15,f17,f24,f25,f35,f27,f22,f797,f20,f798,f19,f799,f43,f800,f801,f802,f803,f804,f806,f339,f809,f817,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1211,f1213,f1216,f9,f1228,f1299,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f164,f2259,f2261,f1207]) ).

fof(f2263,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2262]) ).

fof(f2262,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | spl0_11 ),
    inference(global_subsumption,[],[f23,f1,f2,f21,f45,f3,f64,f28,f26,f18,f16,f13,f11,f8,f6,f31,f39,f157,f159,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f478,f461,f32,f30,f29,f5,f7,f10,f12,f14,f15,f17,f24,f25,f35,f27,f22,f797,f20,f798,f19,f799,f43,f800,f801,f802,f803,f804,f806,f339,f809,f817,f4,f807,f842,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f840,f926,f927,f929,f925,f1211,f1213,f1216,f9,f1228,f1299,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f164,f2259,f2261]) ).

fof(f2254,plain,
    ( ~ spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2253]) ).

fof(f2253,plain,
    ( $false
    | ~ spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11
    | spl0_12 ),
    inference(subsumption_resolution,[],[f2252,f1232]) ).

fof(f2252,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2243,f807]) ).

fof(f2243,plain,
    ( sk_c6 = multiply(inverse(inverse(sk_c8)),sk_c4)
    | ~ spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(superposition,[],[f987,f2236]) ).

fof(f2248,plain,
    ( ~ spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2247]) ).

fof(f2247,plain,
    ( $false
    | ~ spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11
    | spl0_12 ),
    inference(subsumption_resolution,[],[f2246,f1232]) ).

fof(f2246,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2241,f157]) ).

fof(f2241,plain,
    ( sk_c6 = multiply(sk_c8,sk_c4)
    | ~ spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(superposition,[],[f975,f2236]) ).

fof(f2222,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2221]) ).

fof(f2221,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2220,f481]) ).

fof(f2220,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2219,f1830]) ).

fof(f2219,plain,
    ( identity != inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2218,f925]) ).

fof(f2218,plain,
    ( identity != inverse(inverse(sk_c8))
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2217,f1830]) ).

fof(f2217,plain,
    ( identity != sk_c4
    | identity != inverse(inverse(sk_c8))
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2155,f851]) ).

fof(f2155,plain,
    ( identity != multiply(sk_c4,identity)
    | identity != inverse(inverse(sk_c8))
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(superposition,[],[f508,f326]) ).

fof(f508,plain,
    ( ! [X6] :
        ( identity != multiply(X6,identity)
        | identity != inverse(X6) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f507]) ).

fof(f2216,plain,
    ( ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2215]) ).

fof(f2215,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2214,f481]) ).

fof(f2214,plain,
    ( identity != inverse(identity)
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2213,f1252]) ).

fof(f2213,plain,
    ( identity != inverse(sk_c3)
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2212,f942]) ).

fof(f2212,plain,
    ( identity != inverse(inverse(sk_c6))
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2211,f1252]) ).

fof(f2211,plain,
    ( identity != sk_c3
    | identity != inverse(inverse(sk_c6))
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2154,f881]) ).

fof(f881,plain,
    ( sk_c3 = multiply(sk_c3,identity)
    | ~ spl0_6 ),
    inference(superposition,[],[f816,f693]) ).

fof(f2154,plain,
    ( identity != multiply(sk_c3,identity)
    | identity != inverse(inverse(sk_c6))
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f508,f816]) ).

fof(f2210,plain,
    ~ spl0_8,
    inference(avatar_contradiction_clause,[],[f2209]) ).

fof(f2209,plain,
    ( $false
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f2208,f1559]) ).

fof(f2208,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2158,f1559]) ).

fof(f2158,plain,
    ( identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_8 ),
    inference(trivial_inequality_removal,[],[f2153]) ).

fof(f2153,plain,
    ( identity != identity
    | identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_8 ),
    inference(superposition,[],[f508,f464]) ).

fof(f2207,plain,
    ~ spl0_8,
    inference(avatar_contradiction_clause,[],[f2206]) ).

fof(f2206,plain,
    ( $false
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f2159,f1559]) ).

fof(f2159,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_8 ),
    inference(trivial_inequality_removal,[],[f2152]) ).

fof(f2152,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_8 ),
    inference(superposition,[],[f508,f2]) ).

fof(f2205,plain,
    ~ spl0_8,
    inference(avatar_contradiction_clause,[],[f2204]) ).

fof(f2204,plain,
    ( $false
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f2160,f481]) ).

fof(f2160,plain,
    ( identity != inverse(identity)
    | ~ spl0_8 ),
    inference(trivial_inequality_removal,[],[f2151]) ).

fof(f2151,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl0_8 ),
    inference(superposition,[],[f508,f1]) ).

fof(f2203,plain,
    ( ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2202]) ).

fof(f2202,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2201,f481]) ).

fof(f2201,plain,
    ( identity != inverse(identity)
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2200,f1252]) ).

fof(f2200,plain,
    ( identity != inverse(sk_c3)
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2150,f1252]) ).

fof(f2150,plain,
    ( identity != sk_c3
    | identity != inverse(sk_c3)
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f508,f881]) ).

fof(f2199,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2198]) ).

fof(f2198,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2197,f481]) ).

fof(f2197,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2196,f1830]) ).

fof(f2196,plain,
    ( identity != inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2149,f1830]) ).

fof(f2149,plain,
    ( identity != sk_c4
    | identity != inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(superposition,[],[f508,f851]) ).

fof(f2195,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2194]) ).

fof(f2194,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2193,f481]) ).

fof(f2193,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2192,f1951]) ).

fof(f1951,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1920,f23,f1,f2,f21,f3,f28,f26,f18,f16,f13,f11,f8,f6,f31,f39,f157,f159,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f478,f461,f32,f30,f29,f169,f663,f664,f666,f695,f5,f7,f10,f12,f14,f15,f17,f24,f25,f35,f27,f22,f20,f19,f339,f809,f693,f4,f823,f829,f832,f665,f835,f807,f842,f814,f845,f831,f846,f847,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f816,f884,f885,f887,f888,f889,f880,f894,f895,f881,f883,f891,f882,f840,f926,f927,f929,f925,f843,f943,f944,f946,f942,f830,f975,f973,f983,f987,f993,f992,f997,f998,f1204,f1216,f9,f1233,f1235,f1236,f1254,f1256,f1258,f1259,f1262,f1263,f1245,f1264,f1265,f1249,f1250,f1257,f1275,f1268,f1252,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f1802,f1803,f1783,f1809,f1810,f1829,f1832,f1842,f1843,f1822,f1844,f1845,f1834,f1863,f1865,f1867,f1869,f1830,f965,f984,f1921,f1768,f1743,f1923,f988,f1924,f970,f905,f980]) ).

fof(f980,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c3,multiply(sk_c7,X0))
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f971,f942]) ).

fof(f971,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(sk_c6),multiply(sk_c7,X0))
    | ~ spl0_9 ),
    inference(superposition,[],[f61,f830]) ).

fof(f905,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c3,multiply(sk_c7,X0))
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(superposition,[],[f3,f883]) ).

fof(f970,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c3,multiply(sk_c7,X0))
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(superposition,[],[f882,f830]) ).

fof(f1924,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c3,multiply(sk_c7,X0))
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f832,f942]) ).

fof(f988,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c7),multiply(sk_c6,X0))
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(superposition,[],[f3,f983]) ).

fof(f1923,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c7),multiply(sk_c6,X0))
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f998,f1559]) ).

fof(f1743,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c4,X0))
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1718,f326]) ).

fof(f1718,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(inverse(sk_c8),X0))
    | ~ spl0_9 ),
    inference(superposition,[],[f830,f1535]) ).

fof(f1768,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c4,X0))
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f993,f1559]) ).

fof(f1921,plain,
    ( identity = sk_c8
    | identity = sk_c7
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1478,f880]) ).

fof(f984,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c4,X0))
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(superposition,[],[f3,f975]) ).

fof(f965,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c4,X0))
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(superposition,[],[f830,f159]) ).

fof(f1869,plain,
    ( identity = sk_c4
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1868,f464]) ).

fof(f1868,plain,
    ( sk_c4 = multiply(inverse(inverse(inverse(identity))),identity)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1854,f1233]) ).

fof(f1854,plain,
    ( sk_c4 = multiply(inverse(inverse(inverse(identity))),sk_c6)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(superposition,[],[f992,f1834]) ).

fof(f1867,plain,
    ( identity = multiply(identity,sk_c4)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1866,f1233]) ).

fof(f1866,plain,
    ( sk_c6 = multiply(identity,sk_c4)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1853,f1559]) ).

fof(f1853,plain,
    ( sk_c6 = multiply(inverse(inverse(identity)),sk_c4)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(superposition,[],[f987,f1834]) ).

fof(f1865,plain,
    ( identity = sk_c4
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1864,f2]) ).

fof(f1864,plain,
    ( sk_c4 = multiply(inverse(identity),identity)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1852,f1233]) ).

fof(f1852,plain,
    ( sk_c4 = multiply(inverse(identity),sk_c6)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(superposition,[],[f983,f1834]) ).

fof(f1863,plain,
    ( identity = multiply(identity,sk_c4)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1851,f1233]) ).

fof(f1851,plain,
    ( sk_c6 = multiply(identity,sk_c4)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(superposition,[],[f975,f1834]) ).

fof(f1845,plain,
    ( identity = sk_c4
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1825,f481]) ).

fof(f1825,plain,
    ( sk_c4 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(superposition,[],[f925,f1783]) ).

fof(f1844,plain,
    ( ! [X0] : multiply(sk_c4,X0) = X0
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1823,f1]) ).

fof(f1823,plain,
    ( ! [X0] : multiply(sk_c4,multiply(identity,X0)) = X0
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(superposition,[],[f852,f1783]) ).

fof(f1822,plain,
    ( identity = multiply(sk_c4,identity)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(superposition,[],[f850,f1783]) ).

fof(f1843,plain,
    ( identity = sk_c4
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1821,f464]) ).

fof(f1821,plain,
    ( sk_c4 = multiply(inverse(inverse(inverse(identity))),identity)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(superposition,[],[f840,f1783]) ).

fof(f1842,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1841,f1233]) ).

fof(f1841,plain,
    ( sk_c6 = sk_c7
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1820,f321]) ).

fof(f1820,plain,
    ( sk_c7 = multiply(inverse(inverse(sk_c6)),identity)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(superposition,[],[f831,f1783]) ).

fof(f1832,plain,
    ( identity = multiply(identity,sk_c4)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1816,f1559]) ).

fof(f1816,plain,
    ( identity = multiply(inverse(inverse(identity)),sk_c4)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(superposition,[],[f807,f1783]) ).

fof(f1829,plain,
    ( ! [X0] : multiply(sk_c4,X0) = X0
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1828,f1]) ).

fof(f1828,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c4,X0)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1813,f481]) ).

fof(f1813,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(identity),X0)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(superposition,[],[f326,f1783]) ).

fof(f1810,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c4,X0)) = X0
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(superposition,[],[f159,f1783]) ).

fof(f1809,plain,
    ( identity = multiply(identity,sk_c4)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(superposition,[],[f157,f1783]) ).

fof(f1803,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f23,f1,f2,f21,f3,f28,f26,f18,f16,f13,f11,f8,f6,f31,f39,f157,f159,f33,f61,f324,f321,f476,f464,f482,f495,f484,f481,f478,f461,f32,f30,f29,f169,f663,f664,f666,f695,f5,f7,f10,f12,f14,f15,f17,f24,f25,f35,f27,f22,f20,f19,f339,f809,f693,f4,f823,f829,f832,f665,f835,f807,f842,f814,f845,f831,f846,f847,f326,f853,f854,f856,f857,f850,f862,f863,f851,f859,f852,f816,f884,f885,f887,f888,f889,f880,f894,f895,f881,f883,f891,f882,f840,f926,f927,f929,f925,f843,f943,f944,f946,f942,f830,f970,f975,f973,f983,f988,f987,f993,f992,f997,f998,f1204,f905,f984,f965,f980,f1216,f9,f1233,f1235,f1236,f1254,f1256,f1258,f1259,f1262,f1263,f1245,f1264,f1265,f1249,f1250,f1257,f1275,f1268,f1252,f332,f1542,f1543,f1545,f1548,f1532,f1597,f1570,f1607,f1559,f1630,f1631,f1531,f1646,f1678,f1659,f1535,f1713,f1725,f1783,f1802]) ).

fof(f1802,plain,
    ( sk_c8 = multiply(sk_c8,sk_c2)
    | identity = sk_c8
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1801,f1257]) ).

fof(f1801,plain,
    ( identity = sk_c8
    | sk_c7 = multiply(sk_c8,sk_c2)
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1216,f1257]) ).

fof(f1268,plain,
    ( sk_c8 = multiply(sk_c3,sk_c8)
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(superposition,[],[f883,f1257]) ).

fof(f1275,plain,
    ( sk_c8 = multiply(sk_c3,sk_c8)
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1267,f942]) ).

fof(f1267,plain,
    ( sk_c8 = multiply(inverse(sk_c6),sk_c8)
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(superposition,[],[f829,f1257]) ).

fof(f1250,plain,
    ( sk_c4 = multiply(inverse(inverse(inverse(sk_c7))),identity)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(superposition,[],[f992,f1233]) ).

fof(f1249,plain,
    ( sk_c4 = multiply(inverse(sk_c7),identity)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(superposition,[],[f983,f1233]) ).

fof(f1265,plain,
    ( identity = sk_c3
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1248,f481]) ).

fof(f1248,plain,
    ( sk_c3 = inverse(identity)
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(superposition,[],[f942,f1233]) ).

fof(f1264,plain,
    ( ! [X0] : multiply(sk_c3,X0) = X0
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1246,f1]) ).

fof(f1246,plain,
    ( ! [X0] : multiply(sk_c3,multiply(identity,X0)) = X0
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(superposition,[],[f882,f1233]) ).

fof(f1245,plain,
    ( identity = multiply(sk_c3,identity)
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(superposition,[],[f880,f1233]) ).

fof(f1263,plain,
    ( identity = sk_c3
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1244,f464]) ).

fof(f1244,plain,
    ( sk_c3 = multiply(inverse(inverse(inverse(identity))),identity)
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(superposition,[],[f843,f1233]) ).

fof(f1262,plain,
    ( sk_c8 = sk_c7
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1261,f1]) ).

fof(f1261,plain,
    ( sk_c7 = multiply(identity,sk_c8)
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1260,f481]) ).

fof(f1260,plain,
    ( sk_c7 = multiply(inverse(identity),sk_c8)
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1243,f481]) ).

fof(f1243,plain,
    ( sk_c7 = multiply(inverse(inverse(identity)),sk_c8)
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(superposition,[],[f831,f1233]) ).

fof(f1259,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c7,X0)
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1242,f1]) ).

fof(f1242,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(identity,multiply(sk_c8,X0))
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(superposition,[],[f830,f1233]) ).

fof(f1258,plain,
    ( sk_c8 = multiply(identity,sk_c7)
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1241,f481]) ).

fof(f1241,plain,
    ( sk_c8 = multiply(inverse(identity),sk_c7)
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(superposition,[],[f829,f1233]) ).

fof(f1256,plain,
    ( ! [X0] : multiply(sk_c3,X0) = X0
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1255,f1]) ).

fof(f1255,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c3,X0)
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1239,f481]) ).

fof(f1239,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(identity),X0)
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(superposition,[],[f816,f1233]) ).

fof(f1254,plain,
    ( identity = multiply(identity,sk_c3)
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1253,f481]) ).

fof(f1253,plain,
    ( identity = multiply(inverse(identity),sk_c3)
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1238,f481]) ).

fof(f1238,plain,
    ( identity = multiply(inverse(inverse(identity)),sk_c3)
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(superposition,[],[f814,f1233]) ).

fof(f1236,plain,
    ( identity = multiply(identity,sk_c3)
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(superposition,[],[f666,f1233]) ).

fof(f1235,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c3,X0)) = X0
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(superposition,[],[f665,f1233]) ).

fof(f998,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(inverse(inverse(sk_c7))),multiply(sk_c6,X0))
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(superposition,[],[f3,f992]) ).

fof(f997,plain,
    ( sk_c6 = multiply(inverse(inverse(inverse(inverse(sk_c7)))),sk_c4)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(superposition,[],[f61,f992]) ).

fof(f992,plain,
    ( sk_c4 = multiply(inverse(inverse(inverse(sk_c7))),sk_c6)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(superposition,[],[f61,f987]) ).

fof(f993,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(inverse(sk_c7)),multiply(sk_c4,X0))
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(superposition,[],[f3,f987]) ).

fof(f973,plain,
    ( sk_c7 = multiply(sk_c7,identity)
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f963,f823]) ).

fof(f963,plain,
    ( multiply(sk_c6,sk_c8) = multiply(sk_c7,identity)
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(superposition,[],[f830,f859]) ).

fof(f946,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(inverse(inverse(sk_c6))),X0)
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f945,f1]) ).

fof(f945,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(inverse(inverse(sk_c6))),multiply(identity,X0))
    | ~ spl0_6 ),
    inference(superposition,[],[f3,f843]) ).

fof(f944,plain,
    ( identity = multiply(inverse(inverse(inverse(inverse(sk_c6)))),sk_c3)
    | ~ spl0_6 ),
    inference(superposition,[],[f61,f843]) ).

fof(f943,plain,
    ( sk_c3 = inverse(sk_c6)
    | ~ spl0_6 ),
    inference(superposition,[],[f321,f843]) ).

fof(f882,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c6,X0)) = X0
    | ~ spl0_6 ),
    inference(superposition,[],[f816,f61]) ).

fof(f895,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c6,X0)) = X0
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f893,f1]) ).

fof(f893,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c3,multiply(sk_c6,X0))
    | ~ spl0_6 ),
    inference(superposition,[],[f3,f880]) ).

fof(f894,plain,
    ( sk_c6 = multiply(sk_c6,identity)
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f892,f169]) ).

fof(f892,plain,
    ( sk_c6 = multiply(inverse(sk_c3),identity)
    | ~ spl0_6 ),
    inference(superposition,[],[f61,f880]) ).

fof(f889,plain,
    ( sk_c8 = multiply(sk_c3,sk_c7)
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(superposition,[],[f829,f816]) ).

fof(f888,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c6,X0)) = X0
    | ~ spl0_6 ),
    inference(superposition,[],[f61,f816]) ).

fof(f887,plain,
    ( sk_c3 = multiply(sk_c3,identity)
    | ~ spl0_6 ),
    inference(superposition,[],[f693,f816]) ).

fof(f885,plain,
    ( ! [X0] : multiply(inverse(inverse(sk_c6)),multiply(sk_c3,X0)) = X0
    | ~ spl0_6 ),
    inference(superposition,[],[f61,f816]) ).

fof(f884,plain,
    ( identity = multiply(sk_c3,sk_c6)
    | ~ spl0_6 ),
    inference(superposition,[],[f2,f816]) ).

fof(f845,plain,
    ( ! [X0] : multiply(inverse(inverse(sk_c6)),multiply(sk_c3,X0)) = X0
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f844,f1]) ).

fof(f844,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(sk_c6)),multiply(sk_c3,X0))
    | ~ spl0_6 ),
    inference(superposition,[],[f3,f814]) ).

fof(f835,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(sk_c6),X0)
    | ~ spl0_6 ),
    inference(superposition,[],[f61,f665]) ).

fof(f695,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c3,X0)) = X0
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f694,f1]) ).

fof(f694,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c3,X0))
    | ~ spl0_6 ),
    inference(superposition,[],[f3,f666]) ).

fof(f664,plain,
    ( sk_c3 = multiply(inverse(sk_c6),identity)
    | ~ spl0_6 ),
    inference(superposition,[],[f321,f169]) ).

fof(f663,plain,
    ( identity = multiply(inverse(inverse(sk_c6)),sk_c3)
    | ~ spl0_6 ),
    inference(superposition,[],[f464,f169]) ).

fof(f2192,plain,
    ( identity != inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2148,f1951]) ).

fof(f2148,plain,
    ( identity != sk_c7
    | identity != inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(superposition,[],[f508,f973]) ).

fof(f2191,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2190]) ).

fof(f2190,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2189,f481]) ).

fof(f2189,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2188,f1783]) ).

fof(f2188,plain,
    ( identity != inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2147,f1783]) ).

fof(f2147,plain,
    ( identity != sk_c8
    | identity != inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(superposition,[],[f508,f859]) ).

fof(f2187,plain,
    ( ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2186]) ).

fof(f2186,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2185,f481]) ).

fof(f2185,plain,
    ( identity != inverse(identity)
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2184,f1233]) ).

fof(f2184,plain,
    ( identity != inverse(sk_c6)
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2146,f1233]) ).

fof(f2146,plain,
    ( identity != sk_c6
    | identity != inverse(sk_c6)
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f508,f891]) ).

fof(f2183,plain,
    ( ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2182]) ).

fof(f2182,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2181,f481]) ).

fof(f2181,plain,
    ( identity != inverse(identity)
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2180,f1252]) ).

fof(f2180,plain,
    ( identity != inverse(sk_c3)
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2179,f942]) ).

fof(f2179,plain,
    ( identity != inverse(inverse(sk_c6))
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2145,f1252]) ).

fof(f2145,plain,
    ( identity != sk_c3
    | identity != inverse(inverse(sk_c6))
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f508,f693]) ).

fof(f2178,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2177]) ).

fof(f2177,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2176,f481]) ).

fof(f2176,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2175,f1830]) ).

fof(f2175,plain,
    ( identity != inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2174,f925]) ).

fof(f2174,plain,
    ( identity != inverse(inverse(sk_c8))
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2144,f1830]) ).

fof(f2144,plain,
    ( identity != sk_c4
    | identity != inverse(inverse(sk_c8))
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(superposition,[],[f508,f339]) ).

fof(f2173,plain,
    ( ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2172]) ).

fof(f2172,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2171,f481]) ).

fof(f2171,plain,
    ( identity != inverse(identity)
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2170,f1252]) ).

fof(f2170,plain,
    ( identity != inverse(sk_c3)
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2169,f942]) ).

fof(f2169,plain,
    ( identity != inverse(inverse(sk_c6))
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2168,f1559]) ).

fof(f2168,plain,
    ( identity != inverse(inverse(inverse(inverse(sk_c6))))
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2143,f1252]) ).

fof(f2143,plain,
    ( identity != sk_c3
    | identity != inverse(inverse(inverse(inverse(sk_c6))))
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f508,f843]) ).

fof(f2167,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2166]) ).

fof(f2166,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2165,f481]) ).

fof(f2165,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2164,f1830]) ).

fof(f2164,plain,
    ( identity != inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2163,f925]) ).

fof(f2163,plain,
    ( identity != inverse(inverse(sk_c8))
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2162,f1559]) ).

fof(f2162,plain,
    ( identity != inverse(inverse(inverse(inverse(sk_c8))))
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2142,f1830]) ).

fof(f2142,plain,
    ( identity != sk_c4
    | identity != inverse(inverse(inverse(inverse(sk_c8))))
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(superposition,[],[f508,f840]) ).

fof(f2122,plain,
    ~ spl0_13,
    inference(avatar_contradiction_clause,[],[f2121]) ).

fof(f2121,plain,
    ( $false
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2115,f1559]) ).

fof(f2115,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f2114]) ).

fof(f2114,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_13 ),
    inference(superposition,[],[f1759,f1531]) ).

fof(f1759,plain,
    ( ! [X4] :
        ( identity != multiply(identity,X4)
        | identity != inverse(X4) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f1758]) ).

fof(f2118,plain,
    ~ spl0_13,
    inference(avatar_contradiction_clause,[],[f2117]) ).

fof(f2117,plain,
    ( $false
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2116,f481]) ).

fof(f2116,plain,
    ( identity != inverse(identity)
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f2112]) ).

fof(f2112,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl0_13 ),
    inference(superposition,[],[f1759,f1532]) ).

fof(f1946,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1945]) ).

fof(f1945,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11
    | spl0_12 ),
    inference(subsumption_resolution,[],[f1944,f1232]) ).

fof(f1944,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11
    | spl0_12 ),
    inference(forward_demodulation,[],[f1935,f807]) ).

fof(f1935,plain,
    ( sk_c6 = multiply(inverse(inverse(sk_c8)),sk_c4)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11
    | spl0_12 ),
    inference(superposition,[],[f987,f1928]) ).

fof(f1940,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1939]) ).

fof(f1939,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11
    | spl0_12 ),
    inference(subsumption_resolution,[],[f1938,f1232]) ).

fof(f1938,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11
    | spl0_12 ),
    inference(forward_demodulation,[],[f1933,f157]) ).

fof(f1933,plain,
    ( sk_c6 = multiply(sk_c8,sk_c4)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11
    | spl0_12 ),
    inference(superposition,[],[f975,f1928]) ).

fof(f1918,plain,
    ( spl0_8
    | spl0_8
    | spl0_8
    | spl0_13
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f1905,f1231,f825,f821,f167,f37,f1758,f507,f507,f507]) ).

fof(f1905,plain,
    ( ! [X6,X7,X4,X5] :
        ( identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X7)
        | identity != multiply(X6,identity)
        | identity != multiply(identity,X4)
        | identity != multiply(X7,identity)
        | identity != multiply(X5,identity)
        | identity != inverse(X5) )
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1904,f1783]) ).

fof(f1904,plain,
    ( ! [X6,X7,X4,X5] :
        ( identity != inverse(X6)
        | identity != inverse(X7)
        | identity != multiply(X6,identity)
        | identity != multiply(identity,X4)
        | identity != multiply(X7,identity)
        | identity != multiply(X5,identity)
        | identity != inverse(X5)
        | sk_c8 != inverse(X4) )
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1903,f1783]) ).

fof(f1903,plain,
    ( ! [X6,X7,X4,X5] :
        ( identity != inverse(X7)
        | identity != multiply(X6,identity)
        | identity != multiply(identity,X4)
        | identity != multiply(X7,identity)
        | identity != multiply(X5,identity)
        | identity != inverse(X5)
        | sk_c8 != inverse(X6)
        | sk_c8 != inverse(X4) )
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1902,f1783]) ).

fof(f1902,plain,
    ( ! [X6,X7,X4,X5] :
        ( identity != multiply(X6,identity)
        | identity != multiply(identity,X4)
        | identity != multiply(X7,identity)
        | identity != multiply(X5,identity)
        | identity != inverse(X5)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X6)
        | sk_c8 != inverse(X4) )
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1901,f1783]) ).

fof(f1901,plain,
    ( ! [X6,X7,X4,X5] :
        ( identity != multiply(identity,X4)
        | identity != multiply(X7,identity)
        | identity != multiply(X5,identity)
        | sk_c8 != multiply(X6,sk_c8)
        | identity != inverse(X5)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X6)
        | sk_c8 != inverse(X4) )
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1900,f1532]) ).

fof(f1900,plain,
    ( ! [X6,X7,X4,X5] :
        ( identity != multiply(identity,multiply(X4,identity))
        | identity != multiply(X7,identity)
        | identity != multiply(X5,identity)
        | sk_c8 != multiply(X6,sk_c8)
        | identity != inverse(X5)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X6)
        | sk_c8 != inverse(X4) )
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1899,f1783]) ).

fof(f1899,plain,
    ( ! [X6,X7,X4,X5] :
        ( identity != multiply(X7,identity)
        | identity != multiply(X5,identity)
        | sk_c8 != multiply(sk_c8,multiply(X4,sk_c8))
        | sk_c8 != multiply(X6,sk_c8)
        | identity != inverse(X5)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X6)
        | sk_c8 != inverse(X4) )
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1898,f1783]) ).

fof(f1898,plain,
    ( ! [X6,X7,X4,X5] :
        ( identity != multiply(X5,identity)
        | identity != multiply(X7,sk_c8)
        | sk_c8 != multiply(sk_c8,multiply(X4,sk_c8))
        | sk_c8 != multiply(X6,sk_c8)
        | identity != inverse(X5)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X6)
        | sk_c8 != inverse(X4) )
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1776,f1783]) ).

fof(f1776,plain,
    ( ! [X6,X7,X4,X5] :
        ( sk_c8 != multiply(X5,identity)
        | identity != multiply(X7,sk_c8)
        | sk_c8 != multiply(sk_c8,multiply(X4,sk_c8))
        | sk_c8 != multiply(X6,sk_c8)
        | identity != inverse(X5)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X6)
        | sk_c8 != inverse(X4) )
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1775,f1233]) ).

fof(f1775,plain,
    ( ! [X6,X7,X4,X5] :
        ( identity != multiply(X7,sk_c8)
        | sk_c8 != multiply(sk_c8,multiply(X4,sk_c8))
        | sk_c8 != multiply(X6,sk_c8)
        | identity != inverse(X5)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X6)
        | sk_c8 != inverse(X4)
        | sk_c8 != multiply(X5,sk_c6) )
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1774,f1233]) ).

fof(f1774,plain,
    ( ! [X6,X7,X4,X5] :
        ( sk_c8 != multiply(sk_c8,multiply(X4,sk_c8))
        | sk_c8 != multiply(X6,sk_c8)
        | identity != inverse(X5)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X6)
        | sk_c8 != inverse(X4)
        | sk_c6 != multiply(X7,sk_c8)
        | sk_c8 != multiply(X5,sk_c6) )
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1773,f1257]) ).

fof(f1773,plain,
    ( ! [X6,X7,X4,X5] :
        ( sk_c8 != multiply(X6,sk_c8)
        | identity != inverse(X5)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X6)
        | sk_c8 != inverse(X4)
        | sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
        | sk_c6 != multiply(X7,sk_c8)
        | sk_c8 != multiply(X5,sk_c6) )
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1495,f1257]) ).

fof(f1495,plain,
    ( ! [X6,X7,X4,X5] :
        ( identity != inverse(X5)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X6)
        | sk_c8 != inverse(X4)
        | sk_c7 != multiply(X6,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
        | sk_c6 != multiply(X7,sk_c8)
        | sk_c8 != multiply(X5,sk_c6) )
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1494,f1233]) ).

fof(f1494,plain,
    ( ! [X6,X7,X4,X5] :
        ( sk_c6 != inverse(X5)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X6)
        | sk_c8 != inverse(X4)
        | sk_c7 != multiply(X6,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
        | sk_c6 != multiply(X7,sk_c8)
        | sk_c8 != multiply(X5,sk_c6) )
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1493,f823]) ).

fof(f1493,plain,
    ( ! [X6,X7,X4,X5] :
        ( sk_c6 != inverse(X5)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X6)
        | sk_c8 != inverse(X4)
        | sk_c7 != multiply(X6,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
        | sk_c6 != multiply(X7,sk_c8)
        | sk_c8 != multiply(X5,sk_c6)
        | multiply(sk_c6,sk_c8) != sk_c7 )
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f35,f827]) ).

fof(f1760,plain,
    ( spl0_8
    | spl0_8
    | spl0_8
    | spl0_13
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f1680,f1231,f1227,f825,f821,f41,f37,f1758,f507,f507,f507]) ).

fof(f1680,plain,
    ( ! [X6,X7,X4,X5] :
        ( identity != multiply(identity,X4)
        | identity != multiply(X5,identity)
        | identity != multiply(X7,identity)
        | identity != multiply(X6,identity)
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X7)
        | identity != inverse(X5) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1508,f1532]) ).

fof(f1508,plain,
    ( ! [X6,X7,X4,X5] :
        ( identity != multiply(X5,identity)
        | identity != multiply(X7,identity)
        | identity != multiply(identity,multiply(X4,identity))
        | identity != multiply(X6,identity)
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X7)
        | identity != inverse(X5) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1507,f1300]) ).

fof(f1300,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(superposition,[],[f1299,f1257]) ).

fof(f1507,plain,
    ( ! [X6,X7,X4,X5] :
        ( sk_c8 != multiply(X5,identity)
        | identity != multiply(X7,identity)
        | identity != multiply(identity,multiply(X4,identity))
        | identity != multiply(X6,identity)
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X7)
        | identity != inverse(X5) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1506,f1233]) ).

fof(f1506,plain,
    ( ! [X6,X7,X4,X5] :
        ( identity != multiply(X7,identity)
        | identity != multiply(identity,multiply(X4,identity))
        | identity != multiply(X6,identity)
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X7)
        | identity != inverse(X5)
        | sk_c8 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1505,f1233]) ).

fof(f1505,plain,
    ( ! [X6,X7,X4,X5] :
        ( sk_c6 != multiply(X7,identity)
        | identity != multiply(identity,multiply(X4,identity))
        | identity != multiply(X6,identity)
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X7)
        | identity != inverse(X5)
        | sk_c8 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1504,f1300]) ).

fof(f1504,plain,
    ( ! [X6,X7,X4,X5] :
        ( identity != multiply(identity,multiply(X4,identity))
        | identity != multiply(X6,identity)
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X7)
        | identity != inverse(X5)
        | sk_c6 != multiply(X7,sk_c8)
        | sk_c8 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1503,f1300]) ).

fof(f1503,plain,
    ( ! [X6,X7,X4,X5] :
        ( sk_c8 != multiply(identity,multiply(X4,identity))
        | identity != multiply(X6,identity)
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X7)
        | identity != inverse(X5)
        | sk_c6 != multiply(X7,sk_c8)
        | sk_c8 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1502,f1257]) ).

fof(f1502,plain,
    ( ! [X6,X7,X4,X5] :
        ( sk_c7 != multiply(identity,multiply(X4,identity))
        | identity != multiply(X6,identity)
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X7)
        | identity != inverse(X5)
        | sk_c6 != multiply(X7,sk_c8)
        | sk_c8 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1501,f1300]) ).

fof(f1501,plain,
    ( ! [X6,X7,X4,X5] :
        ( identity != multiply(X6,identity)
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X7)
        | identity != inverse(X5)
        | sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
        | sk_c6 != multiply(X7,sk_c8)
        | sk_c8 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1500,f1300]) ).

fof(f1500,plain,
    ( ! [X6,X7,X4,X5] :
        ( sk_c8 != multiply(X6,identity)
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X7)
        | identity != inverse(X5)
        | sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
        | sk_c6 != multiply(X7,sk_c8)
        | sk_c8 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1499,f1257]) ).

fof(f1499,plain,
    ( ! [X6,X7,X4,X5] :
        ( sk_c7 != multiply(X6,identity)
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X7)
        | identity != inverse(X5)
        | sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
        | sk_c6 != multiply(X7,sk_c8)
        | sk_c8 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1498,f1300]) ).

fof(f1498,plain,
    ( ! [X6,X7,X4,X5] :
        ( identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X7)
        | identity != inverse(X5)
        | sk_c7 != multiply(X6,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
        | sk_c6 != multiply(X7,sk_c8)
        | sk_c8 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1497,f1300]) ).

fof(f1497,plain,
    ( ! [X6,X7,X4,X5] :
        ( identity != inverse(X6)
        | identity != inverse(X7)
        | identity != inverse(X5)
        | sk_c8 != inverse(X4)
        | sk_c7 != multiply(X6,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
        | sk_c6 != multiply(X7,sk_c8)
        | sk_c8 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1496,f1300]) ).

fof(f1496,plain,
    ( ! [X6,X7,X4,X5] :
        ( identity != inverse(X7)
        | identity != inverse(X5)
        | sk_c8 != inverse(X6)
        | sk_c8 != inverse(X4)
        | sk_c7 != multiply(X6,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
        | sk_c6 != multiply(X7,sk_c8)
        | sk_c8 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1495,f1300]) ).

fof(f1234,plain,
    ( spl0_11
    | spl0_12
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f1209,f163,f41,f37,f1231,f1227]) ).

fof(f1209,plain,
    ( identity = sk_c6
    | identity = sk_c2
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f1208,f850]) ).

fof(f1208,plain,
    ( sk_c6 = multiply(sk_c4,sk_c8)
    | identity = sk_c2
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f1207,f810]) ).

fof(f1203,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1202]) ).

fof(f1202,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(subsumption_resolution,[],[f1168,f1]) ).

fof(f1168,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(superposition,[],[f1095,f1146]) ).

fof(f1095,plain,
    ( identity != multiply(sk_c8,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(forward_demodulation,[],[f1017,f1033]) ).

fof(f1033,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(forward_demodulation,[],[f1024,f157]) ).

fof(f1024,plain,
    ( sk_c6 = multiply(sk_c8,sk_c4)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(superposition,[],[f975,f1016]) ).

fof(f1016,plain,
    ( sk_c8 = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(forward_demodulation,[],[f1012,f859]) ).

fof(f1012,plain,
    ( sk_c7 = multiply(sk_c8,identity)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(superposition,[],[f899,f1008]) ).

fof(f1008,plain,
    ( identity = sk_c2
    | ~ spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(forward_demodulation,[],[f1007,f850]) ).

fof(f1007,plain,
    ( multiply(sk_c4,sk_c8) = sk_c2
    | ~ spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(forward_demodulation,[],[f1006,f817]) ).

fof(f1017,plain,
    ( sk_c6 != multiply(sk_c8,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(superposition,[],[f826,f1016]) ).

fof(f1183,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1182]) ).

fof(f1182,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(subsumption_resolution,[],[f1181,f1033]) ).

fof(f1181,plain,
    ( identity != sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(forward_demodulation,[],[f1180,f1]) ).

fof(f1180,plain,
    ( sk_c6 != multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(forward_demodulation,[],[f1179,f1146]) ).

fof(f1179,plain,
    ( sk_c6 != multiply(identity,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(forward_demodulation,[],[f1156,f1016]) ).

fof(f828,plain,
    ( spl0_9
    | spl0_10 ),
    inference(avatar_split_clause,[],[f4,f825,f821]) ).

fof(f796,plain,
    ( spl0_8
    | spl0_7
    | spl0_8
    | spl0_8
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f779,f163,f41,f37,f507,f507,f504,f507]) ).

fof(f643,plain,
    ( spl0_7
    | spl0_8
    | spl0_8
    | spl0_8
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f577,f167,f163,f37,f507,f507,f507,f504]) ).

fof(f509,plain,
    ( spl0_7
    | spl0_8
    | spl0_8
    | spl0_8
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f446,f167,f163,f41,f37,f507,f507,f507,f504]) ).

fof(f446,plain,
    ( ! [X6,X7,X4,X5] :
        ( identity != inverse(X5)
        | identity != inverse(X7)
        | identity != inverse(X6)
        | identity != inverse(X4)
        | identity != multiply(X6,identity)
        | identity != multiply(identity,multiply(X4,identity))
        | identity != multiply(X7,identity)
        | identity != multiply(X5,identity) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f445,f394]) ).

fof(f445,plain,
    ( ! [X6,X7,X4,X5] :
        ( identity != inverse(X7)
        | identity != inverse(X6)
        | identity != inverse(X4)
        | identity != multiply(X6,identity)
        | identity != multiply(identity,multiply(X4,identity))
        | identity != multiply(X7,identity)
        | identity != multiply(X5,identity)
        | sk_c6 != inverse(X5) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f444,f394]) ).

fof(f444,plain,
    ( ! [X6,X7,X4,X5] :
        ( identity != inverse(X6)
        | identity != inverse(X4)
        | identity != multiply(X6,identity)
        | identity != multiply(identity,multiply(X4,identity))
        | identity != multiply(X7,identity)
        | identity != multiply(X5,identity)
        | sk_c6 != inverse(X7)
        | sk_c6 != inverse(X5) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f443,f394]) ).

fof(f443,plain,
    ( ! [X6,X7,X4,X5] :
        ( identity != inverse(X4)
        | identity != multiply(X6,identity)
        | identity != multiply(identity,multiply(X4,identity))
        | identity != multiply(X7,identity)
        | identity != multiply(X5,identity)
        | sk_c6 != inverse(X6)
        | sk_c6 != inverse(X7)
        | sk_c6 != inverse(X5) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f442,f394]) ).

fof(f442,plain,
    ( ! [X6,X7,X4,X5] :
        ( identity != multiply(X6,identity)
        | identity != multiply(identity,multiply(X4,identity))
        | identity != multiply(X7,identity)
        | identity != multiply(X5,identity)
        | sk_c6 != inverse(X4)
        | sk_c6 != inverse(X6)
        | sk_c6 != inverse(X7)
        | sk_c6 != inverse(X5) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f441,f394]) ).

fof(f441,plain,
    ( ! [X6,X7,X4,X5] :
        ( identity != multiply(identity,multiply(X4,identity))
        | identity != multiply(X7,identity)
        | identity != multiply(X5,identity)
        | sk_c6 != multiply(X6,sk_c6)
        | sk_c6 != inverse(X4)
        | sk_c6 != inverse(X6)
        | sk_c6 != inverse(X7)
        | sk_c6 != inverse(X5) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f440,f394]) ).

fof(f440,plain,
    ( ! [X6,X7,X4,X5] :
        ( identity != multiply(X7,identity)
        | identity != multiply(X5,identity)
        | sk_c6 != multiply(sk_c6,multiply(X4,sk_c6))
        | sk_c6 != multiply(X6,sk_c6)
        | sk_c6 != inverse(X4)
        | sk_c6 != inverse(X6)
        | sk_c6 != inverse(X7)
        | sk_c6 != inverse(X5) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f439,f394]) ).

fof(f439,plain,
    ( ! [X6,X7,X4,X5] :
        ( identity != multiply(X5,identity)
        | sk_c6 != multiply(X7,sk_c6)
        | sk_c6 != multiply(sk_c6,multiply(X4,sk_c6))
        | sk_c6 != multiply(X6,sk_c6)
        | sk_c6 != inverse(X4)
        | sk_c6 != inverse(X6)
        | sk_c6 != inverse(X7)
        | sk_c6 != inverse(X5) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f407,f394]) ).

fof(f407,plain,
    ( ! [X6,X7,X4,X5] :
        ( sk_c6 != multiply(X5,sk_c6)
        | sk_c6 != multiply(X7,sk_c6)
        | sk_c6 != multiply(sk_c6,multiply(X4,sk_c6))
        | sk_c6 != multiply(X6,sk_c6)
        | sk_c6 != inverse(X4)
        | sk_c6 != inverse(X6)
        | sk_c6 != inverse(X7)
        | sk_c6 != inverse(X5) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(subsumption_resolution,[],[f406,f181]) ).

fof(f406,plain,
    ( ! [X6,X7,X4,X5] :
        ( sk_c6 != sk_c8
        | sk_c6 != multiply(X5,sk_c6)
        | sk_c6 != multiply(X7,sk_c6)
        | sk_c6 != multiply(sk_c6,multiply(X4,sk_c6))
        | sk_c6 != multiply(X6,sk_c6)
        | sk_c6 != inverse(X4)
        | sk_c6 != inverse(X6)
        | sk_c6 != inverse(X7)
        | sk_c6 != inverse(X5) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f405,f230]) ).

fof(f405,plain,
    ( ! [X6,X7,X4,X5] :
        ( sk_c6 != multiply(sk_c6,sk_c8)
        | sk_c6 != multiply(X5,sk_c6)
        | sk_c6 != multiply(X7,sk_c6)
        | sk_c6 != multiply(sk_c6,multiply(X4,sk_c6))
        | sk_c6 != multiply(X6,sk_c6)
        | sk_c6 != inverse(X4)
        | sk_c6 != inverse(X6)
        | sk_c6 != inverse(X7)
        | sk_c6 != inverse(X5) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f404,f237]) ).

fof(f404,plain,
    ( ! [X6,X7,X4,X5] :
        ( sk_c6 != multiply(X5,sk_c6)
        | sk_c6 != multiply(X7,sk_c6)
        | sk_c6 != multiply(sk_c6,multiply(X4,sk_c6))
        | sk_c6 != multiply(X6,sk_c6)
        | sk_c6 != inverse(X4)
        | sk_c6 != inverse(X6)
        | sk_c6 != inverse(X7)
        | sk_c6 != inverse(X5)
        | multiply(sk_c6,sk_c8) != sk_c7 )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f403,f181]) ).

fof(f403,plain,
    ( ! [X6,X7,X4,X5] :
        ( sk_c6 != multiply(X7,sk_c6)
        | sk_c6 != multiply(sk_c6,multiply(X4,sk_c6))
        | sk_c6 != multiply(X6,sk_c6)
        | sk_c6 != inverse(X4)
        | sk_c6 != inverse(X6)
        | sk_c6 != inverse(X7)
        | sk_c6 != inverse(X5)
        | sk_c8 != multiply(X5,sk_c6)
        | multiply(sk_c6,sk_c8) != sk_c7 )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f402,f181]) ).

fof(f402,plain,
    ( ! [X6,X7,X4,X5] :
        ( sk_c6 != multiply(sk_c6,multiply(X4,sk_c6))
        | sk_c6 != multiply(X6,sk_c6)
        | sk_c6 != inverse(X4)
        | sk_c6 != inverse(X6)
        | sk_c6 != inverse(X7)
        | sk_c6 != inverse(X5)
        | sk_c6 != multiply(X7,sk_c8)
        | sk_c8 != multiply(X5,sk_c6)
        | multiply(sk_c6,sk_c8) != sk_c7 )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f401,f237]) ).

fof(f401,plain,
    ( ! [X6,X7,X4,X5] :
        ( sk_c7 != multiply(sk_c6,multiply(X4,sk_c6))
        | sk_c6 != multiply(X6,sk_c6)
        | sk_c6 != inverse(X4)
        | sk_c6 != inverse(X6)
        | sk_c6 != inverse(X7)
        | sk_c6 != inverse(X5)
        | sk_c6 != multiply(X7,sk_c8)
        | sk_c8 != multiply(X5,sk_c6)
        | multiply(sk_c6,sk_c8) != sk_c7 )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f400,f181]) ).

fof(f400,plain,
    ( ! [X6,X7,X4,X5] :
        ( sk_c6 != multiply(X6,sk_c6)
        | sk_c6 != inverse(X4)
        | sk_c6 != inverse(X6)
        | sk_c6 != inverse(X7)
        | sk_c6 != inverse(X5)
        | sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
        | sk_c6 != multiply(X7,sk_c8)
        | sk_c8 != multiply(X5,sk_c6)
        | multiply(sk_c6,sk_c8) != sk_c7 )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f399,f237]) ).

fof(f170,plain,
    ( spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f33,f167,f163]) ).

fof(f156,plain,
    ( spl0_3
    | spl0_4
    | spl0_3
    | spl0_3
    | spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f115,f41,f37,f151,f151,f154,f151]) ).

fof(f115,plain,
    ( ! [X6,X7,X4,X5] :
        ( sk_c6 != multiply(X5,sk_c6)
        | sk_c6 != multiply(X7,sk_c6)
        | sk_c6 != inverse(X4)
        | sk_c6 != inverse(X6)
        | sk_c6 != inverse(X7)
        | sk_c6 != multiply(X6,sk_c6)
        | sk_c6 != multiply(sk_c6,multiply(X4,sk_c6))
        | sk_c6 != inverse(X5) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f114,f78]) ).

fof(f114,plain,
    ( ! [X6,X7,X4,X5] :
        ( sk_c6 != multiply(X7,sk_c6)
        | sk_c6 != inverse(X4)
        | sk_c6 != inverse(X6)
        | sk_c6 != inverse(X7)
        | sk_c6 != multiply(X6,sk_c6)
        | sk_c6 != multiply(sk_c6,multiply(X4,sk_c6))
        | sk_c6 != inverse(X5)
        | sk_c8 != multiply(X5,sk_c6) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f113,f78]) ).

fof(f113,plain,
    ( ! [X6,X7,X4,X5] :
        ( sk_c6 != inverse(X4)
        | sk_c6 != inverse(X6)
        | sk_c6 != inverse(X7)
        | sk_c6 != multiply(X6,sk_c6)
        | sk_c6 != multiply(sk_c6,multiply(X4,sk_c6))
        | sk_c6 != inverse(X5)
        | sk_c6 != multiply(X7,sk_c8)
        | sk_c8 != multiply(X5,sk_c6) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f112,f78]) ).

fof(f112,plain,
    ( ! [X6,X7,X4,X5] :
        ( sk_c6 != inverse(X6)
        | sk_c6 != inverse(X7)
        | sk_c6 != multiply(X6,sk_c6)
        | sk_c6 != multiply(sk_c6,multiply(X4,sk_c6))
        | sk_c6 != inverse(X5)
        | sk_c8 != inverse(X4)
        | sk_c6 != multiply(X7,sk_c8)
        | sk_c8 != multiply(X5,sk_c6) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f111,f78]) ).

fof(f111,plain,
    ( ! [X6,X7,X4,X5] :
        ( sk_c6 != inverse(X7)
        | sk_c6 != multiply(X6,sk_c6)
        | sk_c6 != multiply(sk_c6,multiply(X4,sk_c6))
        | sk_c6 != inverse(X5)
        | sk_c8 != inverse(X6)
        | sk_c8 != inverse(X4)
        | sk_c6 != multiply(X7,sk_c8)
        | sk_c8 != multiply(X5,sk_c6) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f110,f78]) ).

fof(f110,plain,
    ( ! [X6,X7,X4,X5] :
        ( sk_c6 != multiply(X6,sk_c6)
        | sk_c6 != multiply(sk_c6,multiply(X4,sk_c6))
        | sk_c6 != inverse(X5)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X6)
        | sk_c8 != inverse(X4)
        | sk_c6 != multiply(X7,sk_c8)
        | sk_c8 != multiply(X5,sk_c6) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f109,f78]) ).

fof(f109,plain,
    ( ! [X6,X7,X4,X5] :
        ( sk_c6 != multiply(sk_c6,multiply(X4,sk_c6))
        | sk_c8 != multiply(X6,sk_c8)
        | sk_c6 != inverse(X5)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X6)
        | sk_c8 != inverse(X4)
        | sk_c6 != multiply(X7,sk_c8)
        | sk_c8 != multiply(X5,sk_c6) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f108,f78]) ).

fof(f108,plain,
    ( ! [X6,X7,X4,X5] :
        ( sk_c8 != multiply(sk_c8,multiply(X4,sk_c8))
        | sk_c8 != multiply(X6,sk_c8)
        | sk_c6 != inverse(X5)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X6)
        | sk_c8 != inverse(X4)
        | sk_c6 != multiply(X7,sk_c8)
        | sk_c8 != multiply(X5,sk_c6) )
    | spl0_1
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f107,f90]) ).

fof(f90,plain,
    ( sk_c6 = multiply(sk_c6,sk_c6)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f72,f78]) ).

fof(f107,plain,
    ( ! [X6,X7,X4,X5] :
        ( sk_c6 != multiply(sk_c6,sk_c6)
        | sk_c8 != multiply(sk_c8,multiply(X4,sk_c8))
        | sk_c8 != multiply(X6,sk_c8)
        | sk_c6 != inverse(X5)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X6)
        | sk_c8 != inverse(X4)
        | sk_c6 != multiply(X7,sk_c8)
        | sk_c8 != multiply(X5,sk_c6) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f83,f78]) ).

fof(f83,plain,
    ( ! [X6,X7,X4,X5] :
        ( sk_c6 != multiply(sk_c8,sk_c8)
        | sk_c8 != multiply(sk_c8,multiply(X4,sk_c8))
        | sk_c8 != multiply(X6,sk_c8)
        | sk_c6 != inverse(X5)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X6)
        | sk_c8 != inverse(X4)
        | sk_c6 != multiply(X7,sk_c8)
        | sk_c8 != multiply(X5,sk_c6) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f82,f69]) ).

fof(f82,plain,
    ( ! [X6,X7,X4,X5] :
        ( sk_c8 != multiply(sk_c8,multiply(X4,sk_c8))
        | sk_c8 != multiply(X6,sk_c8)
        | sk_c6 != inverse(X5)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X6)
        | sk_c8 != inverse(X4)
        | sk_c6 != multiply(sk_c8,sk_c7)
        | sk_c6 != multiply(X7,sk_c8)
        | sk_c8 != multiply(X5,sk_c6) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f81,f69]) ).

fof(f81,plain,
    ( ! [X6,X7,X4,X5] :
        ( sk_c8 != multiply(X6,sk_c8)
        | sk_c6 != inverse(X5)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X6)
        | sk_c8 != inverse(X4)
        | sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
        | sk_c6 != multiply(sk_c8,sk_c7)
        | sk_c6 != multiply(X7,sk_c8)
        | sk_c8 != multiply(X5,sk_c6) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f80,f69]) ).

fof(f80,plain,
    ( ! [X6,X7,X4,X5] :
        ( sk_c6 != inverse(X5)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X6)
        | sk_c8 != inverse(X4)
        | sk_c7 != multiply(X6,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
        | sk_c6 != multiply(sk_c8,sk_c7)
        | sk_c6 != multiply(X7,sk_c8)
        | sk_c8 != multiply(X5,sk_c6) )
    | spl0_1 ),
    inference(subsumption_resolution,[],[f35,f48]) ).

fof(f44,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f21,f41,f37]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : GRP365-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.34  % Computer : n008.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Apr 30 04:24:27 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.12/0.34  % (5872)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.35  % (5876)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.36  TRYING [1]
% 0.12/0.36  TRYING [2]
% 0.12/0.36  TRYING [3]
% 0.12/0.36  % (5875)WARNING: value z3 for option sas not known
% 0.12/0.36  % (5873)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.12/0.36  % (5874)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.36  % (5875)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)
% 0.12/0.36  % (5877)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)
% 0.12/0.36  % (5878)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)
% 0.12/0.36  % (5879)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)
% 0.12/0.36  TRYING [4]
% 0.12/0.37  TRYING [1]
% 0.12/0.37  TRYING [2]
% 0.12/0.37  TRYING [5]
% 0.12/0.38  TRYING [3]
% 0.12/0.39  TRYING [4]
% 0.12/0.40  TRYING [6]
% 0.21/0.46  TRYING [7]
% 0.21/0.47  % (5875)First to succeed.
% 0.21/0.48  TRYING [5]
% 0.21/0.48  % (5875)Refutation found. Thanks to Tanya!
% 0.21/0.48  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.49  % (5875)------------------------------
% 0.21/0.49  % (5875)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.49  % (5875)Termination reason: Refutation
% 0.21/0.49  
% 0.21/0.49  % (5875)Memory used [KB]: 1989
% 0.21/0.49  % (5875)Time elapsed: 0.122 s
% 0.21/0.49  % (5875)Instructions burned: 270 (million)
% 0.21/0.49  % (5875)------------------------------
% 0.21/0.49  % (5875)------------------------------
% 0.21/0.49  % (5872)Success in time 0.143 s
%------------------------------------------------------------------------------