%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GRP342-1 : 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 : n020.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 12:02:13 EDT 2024

% Result   : Unsatisfiable 1.49s 0.59s
% Output   : Refutation 1.49s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
fof(f4147,plain,
    $false,
    inference(avatar_sat_refutation,[],[f44,f199,f213,f568,f600,f731,f1155,f1190,f1374,f1388,f1511,f1515,f1520,f1524,f1530,f1535,f1537,f1539,f1541,f1543,f1545,f1548,f1551,f1554,f1557,f1560,f1562,f1564,f1566,f1568,f1570,f1572,f1574,f1586,f1599,f1602,f1605,f1607,f1609,f1611,f1613,f1615,f1617,f1619,f1622,f1624,f1627,f1629,f1631,f1633,f1635,f1637,f1639,f1641,f1643,f1645,f1647,f1649,f1651,f1653,f1655,f1657,f1659,f1661,f1663,f1665,f1667,f1669,f1671,f1673,f1675,f1677,f1679,f1681,f1683,f1685,f1687,f1689,f1691,f1693,f1695,f1697,f1699,f1701,f1703,f1705,f1707,f1709,f1711,f1713,f1715,f1717,f1719,f1721,f1723,f1725,f1727,f1729,f1731,f1733,f1735,f1737,f1739,f1741,f1743,f1745,f1747,f1749,f1751,f1753,f1755,f1757,f1759,f1761,f1763,f1765,f1767,f1769,f1771,f1773,f1775,f1777,f1779,f1781,f1783,f1785,f1787,f1789,f1791,f1793,f1795,f1797,f1799,f1801,f1803,f1805,f1807,f1809,f1811,f1813,f1953,f1955,f1958,f1962,f1964,f1967,f1969,f1971,f1973,f1976,f1978,f1980,f1983,f1986,f1988,f1990,f1992,f1994,f1996,f1998,f2000,f2002,f2004,f2006,f2008,f2206,f2272,f2276,f2281,f2286,f2291,f2294,f2297,f2300,f2306,f2310,f3147,f3165,f3167,f3169,f3171,f3174,f3177,f3179,f3181,f3183,f3186,f3189,f3217,f3222,f3227,f3231,f3235,f3237,f3239,f3241,f3250,f3253,f3259,f3439,f3447,f3621,f3697,f3763,f3766,f3768,f3771,f3774,f3776,f3778,f3781,f3783,f3785,f3788,f3790,f3792,f3795,f3797,f3799,f3802,f3804,f3806,f3808,f3810,f3812,f3814,f3816,f3818,f3820,f3822,f3824,f3826,f3828,f3830,f3833,f3835,f3837,f3840,f3843,f3983,f4039,f4044,f4134,f4139,f4146]) ).

fof(f4146,plain,
    ( spl0_5
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f4145]) ).

fof(f4145,plain,
    ( $false
    | spl0_5
    | spl0_9 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f27,f61,f395,f35,f391,f644,f4,f25,f23,f6,f24,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f11,f26,f22,f3281,f32,f31,f16,f13,f3854,f19,f14,f3856,f15,f3857,f20,f33,f21,f9,f10,f28,f207,f3861,f3860,f3859,f3855,f3848,f17,f4045,f30,f4046,f29,f4047,f18,f4048,f3847,f4050,f4054,f3853,f4065,f4140,f8,f4141,f5,f4143,f7,f4144,f725]) ).

fof(f725,plain,
    ( multiply(sk_c7,sk_c8) != sk_c6
    | spl0_9 ),
    inference(avatar_component_clause,[],[f724]) ).

fof(f724,plain,
    ( spl0_9
  <=> multiply(sk_c7,sk_c8) = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f4144,plain,
    ( multiply(sk_c7,sk_c8) = sk_c6
    | spl0_5 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f27,f61,f395,f35,f391,f644,f4,f25,f23,f6,f24,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f11,f26,f22,f3281,f32,f31,f16,f13,f3854,f19,f14,f3856,f15,f3857,f20,f33,f21,f9,f10,f28,f207,f3861,f3860,f3859,f3855,f3848,f17,f4045,f30,f4046,f29,f4047,f18,f4048,f3847,f4050,f4054,f3853,f4065,f4140,f8,f4141,f5,f4143,f7]) ).

fof(f7,axiom,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | multiply(sk_c7,sk_c8) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).

fof(f4143,plain,
    ( multiply(sk_c7,sk_c8) = sk_c6
    | spl0_5 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f27,f61,f395,f35,f391,f644,f4,f7,f25,f23,f6,f24,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f11,f26,f22,f3281,f32,f31,f16,f13,f3854,f19,f14,f3856,f15,f3857,f20,f33,f21,f9,f10,f28,f207,f3861,f3860,f3859,f3855,f3848,f17,f4045,f30,f4046,f29,f4047,f18,f4048,f3847,f4050,f4054,f3853,f4065,f4140,f8,f4141,f5]) ).

fof(f5,axiom,
    ( sk_c8 = multiply(sk_c3,sk_c4)
    | multiply(sk_c7,sk_c8) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).

fof(f4141,plain,
    ( multiply(sk_c7,sk_c8) = sk_c6
    | spl0_5 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f27,f61,f395,f35,f391,f644,f4,f7,f25,f23,f5,f6,f24,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f11,f26,f22,f3281,f32,f31,f16,f13,f3854,f19,f14,f3856,f15,f3857,f20,f33,f21,f9,f10,f28,f207,f3861,f3860,f3859,f3855,f3848,f17,f4045,f30,f4046,f29,f4047,f18,f4048,f3847,f4050,f4054,f3853,f4065,f4140,f8]) ).

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

fof(f4140,plain,
    ( multiply(sk_c7,sk_c8) = sk_c6
    | spl0_5 ),
    inference(subsumption_resolution,[],[f9,f207]) ).

fof(f4065,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c1,multiply(sk_c7,X0))
    | spl0_5 ),
    inference(superposition,[],[f3,f3853]) ).

fof(f3853,plain,
    ( sk_c8 = multiply(sk_c1,sk_c7)
    | spl0_5 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f27,f61,f395,f35,f391,f644,f4,f7,f25,f23,f29,f5,f30,f18,f6,f24,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f17,f11,f13,f19,f14,f15,f26,f8,f20,f33,f21,f9,f10,f22,f28,f207,f3281,f32,f3847,f31,f3848,f16]) ).

fof(f4054,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c2,multiply(sk_c6,X0))
    | spl0_5 ),
    inference(superposition,[],[f3,f3847]) ).

fof(f4050,plain,
    ( sk_c2 = multiply(sk_c7,inverse(sk_c6))
    | spl0_5 ),
    inference(superposition,[],[f2784,f3847]) ).

fof(f3847,plain,
    ( sk_c7 = multiply(sk_c2,sk_c6)
    | spl0_5 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f27,f61,f395,f35,f391,f644,f4,f7,f25,f23,f29,f5,f30,f18,f6,f24,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f31,f17,f11,f16,f13,f19,f14,f15,f26,f8,f20,f33,f21,f9,f10,f22,f28,f207,f3281,f32]) ).

fof(f4048,plain,
    ( sk_c8 = multiply(sk_c1,sk_c7)
    | spl0_5 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f27,f61,f395,f35,f391,f644,f4,f7,f25,f23,f5,f6,f24,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f11,f26,f22,f3281,f32,f31,f16,f13,f3854,f19,f14,f3856,f15,f3857,f8,f20,f33,f21,f9,f10,f28,f207,f3861,f3860,f3859,f3855,f3853,f3848,f3847,f17,f4045,f30,f4046,f29,f4047,f18]) ).

fof(f18,axiom,
    ( sk_c4 = inverse(sk_c3)
    | sk_c8 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).

fof(f4047,plain,
    ( sk_c7 = multiply(sk_c2,sk_c6)
    | spl0_5 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f27,f61,f395,f35,f391,f644,f4,f7,f25,f23,f5,f18,f6,f24,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f11,f26,f22,f3281,f32,f31,f16,f13,f3854,f19,f14,f3856,f15,f3857,f8,f20,f33,f21,f9,f10,f28,f207,f3861,f3860,f3859,f3855,f3853,f3848,f3847,f17,f4045,f30,f4046,f29]) ).

fof(f29,axiom,
    ( sk_c7 = multiply(sk_c2,sk_c6)
    | sk_c8 = multiply(sk_c3,sk_c4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).

fof(f4046,plain,
    ( sk_c7 = multiply(sk_c2,sk_c6)
    | spl0_5 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f27,f61,f395,f35,f391,f644,f4,f7,f25,f23,f29,f5,f18,f6,f24,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f11,f26,f22,f3281,f32,f31,f16,f13,f3854,f19,f14,f3856,f15,f3857,f8,f20,f33,f21,f9,f10,f28,f207,f3861,f3860,f3859,f3855,f3853,f3848,f3847,f17,f4045,f30]) ).

fof(f30,axiom,
    ( sk_c4 = inverse(sk_c3)
    | sk_c7 = multiply(sk_c2,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).

fof(f4045,plain,
    ( sk_c8 = multiply(sk_c1,sk_c7)
    | spl0_5 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f27,f61,f395,f35,f391,f644,f4,f7,f25,f23,f29,f5,f30,f18,f6,f24,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f11,f26,f22,f3281,f32,f31,f16,f13,f3854,f19,f14,f3856,f15,f3857,f8,f20,f33,f21,f9,f10,f28,f207,f3861,f3860,f3859,f3855,f3853,f3848,f3847,f17]) ).

fof(f17,axiom,
    ( sk_c8 = multiply(sk_c3,sk_c4)
    | sk_c8 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).

fof(f3848,plain,
    ( sk_c7 = multiply(sk_c2,sk_c6)
    | spl0_5 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f27,f61,f395,f35,f391,f644,f4,f7,f25,f23,f29,f5,f30,f18,f6,f24,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f17,f11,f16,f13,f19,f14,f15,f26,f8,f20,f33,f21,f9,f10,f22,f28,f207,f3281,f32,f3847,f31]) ).

fof(f3855,plain,
    ( sk_c8 = multiply(sk_c1,sk_c7)
    | spl0_5 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f27,f61,f395,f35,f391,f644,f4,f7,f25,f23,f29,f5,f30,f18,f6,f24,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f17,f11,f14,f15,f26,f8,f20,f33,f21,f9,f10,f22,f28,f207,f3281,f32,f3847,f31,f3848,f16,f3853,f13,f3854,f19]) ).

fof(f3859,plain,
    ( sk_c8 = multiply(sk_c1,sk_c7)
    | spl0_5 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f27,f61,f395,f35,f391,f644,f4,f7,f25,f23,f29,f5,f30,f18,f6,f24,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f17,f11,f26,f33,f21,f9,f10,f22,f28,f207,f3281,f32,f3847,f31,f3848,f16,f3853,f13,f3854,f19,f3855,f14,f3856,f15,f3857,f8,f20]) ).

fof(f3860,plain,
    ( sk_c7 = multiply(sk_c2,sk_c6)
    | spl0_5 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f27,f61,f395,f35,f391,f644,f4,f7,f25,f23,f29,f5,f30,f18,f6,f24,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f17,f11,f26,f21,f9,f10,f22,f28,f207,f3281,f32,f3847,f31,f3848,f16,f3853,f13,f3854,f19,f3855,f14,f3856,f15,f3857,f8,f20,f3859,f33]) ).

fof(f3861,plain,
    ( sk_c8 = multiply(sk_c1,sk_c7)
    | spl0_5 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f27,f61,f395,f35,f391,f644,f4,f7,f25,f23,f29,f5,f30,f18,f6,f24,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f17,f11,f26,f9,f10,f22,f28,f207,f3281,f32,f3847,f31,f3848,f16,f3853,f13,f3854,f19,f3855,f14,f3856,f15,f3857,f8,f20,f3859,f33,f3860,f21]) ).

fof(f207,plain,
    ( sk_c8 != inverse(sk_c5)
    | spl0_5 ),
    inference(avatar_component_clause,[],[f206]) ).

fof(f206,plain,
    ( spl0_5
  <=> sk_c8 = inverse(sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f28,axiom,
    ( sk_c7 = multiply(sk_c2,sk_c6)
    | sk_c7 = multiply(sk_c8,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).

fof(f10,axiom,
    ( sk_c8 = inverse(sk_c1)
    | sk_c7 = multiply(sk_c8,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).

fof(f9,axiom,
    ( sk_c8 = inverse(sk_c5)
    | multiply(sk_c7,sk_c8) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).

fof(f21,axiom,
    ( sk_c8 = inverse(sk_c5)
    | sk_c8 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).

fof(f33,axiom,
    ( sk_c8 = inverse(sk_c5)
    | sk_c7 = multiply(sk_c2,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).

fof(f20,axiom,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | sk_c8 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).

fof(f3857,plain,
    ( sk_c8 = inverse(sk_c1)
    | spl0_5 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f27,f61,f395,f35,f391,f644,f4,f7,f25,f23,f29,f5,f30,f18,f6,f24,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f17,f11,f26,f8,f20,f33,f21,f9,f10,f22,f28,f207,f3281,f32,f3847,f31,f3848,f16,f3853,f13,f3854,f19,f3855,f14,f3856,f15]) ).

fof(f15,axiom,
    ( sk_c8 = inverse(sk_c5)
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).

fof(f3856,plain,
    ( sk_c8 = inverse(sk_c1)
    | spl0_5 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f27,f61,f395,f35,f391,f644,f4,f7,f25,f23,f29,f5,f30,f18,f6,f24,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f17,f11,f15,f26,f8,f20,f33,f21,f9,f10,f22,f28,f207,f3281,f32,f3847,f31,f3848,f16,f3853,f13,f3854,f19,f3855,f14]) ).

fof(f14,axiom,
    ( sk_c8 = inverse(sk_c1)
    | sk_c6 = multiply(sk_c5,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).

fof(f19,axiom,
    ( sk_c8 = multiply(sk_c1,sk_c7)
    | sk_c8 = multiply(sk_c4,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).

fof(f3854,plain,
    ( sk_c8 = inverse(sk_c1)
    | spl0_5 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f27,f61,f395,f35,f391,f644,f4,f7,f25,f23,f29,f5,f30,f18,f6,f24,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f17,f11,f19,f14,f15,f26,f8,f20,f33,f21,f9,f10,f22,f28,f207,f3281,f32,f3847,f31,f3848,f16,f3853,f13]) ).

fof(f13,axiom,
    ( sk_c8 = inverse(sk_c1)
    | sk_c8 = multiply(sk_c4,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).

fof(f16,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c6)
    | sk_c8 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).

fof(f31,axiom,
    ( sk_c7 = multiply(sk_c2,sk_c6)
    | sk_c8 = multiply(sk_c4,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).

fof(f32,axiom,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | sk_c7 = multiply(sk_c2,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).

fof(f3281,plain,
    ! [X3,X7,X4,X5] :
      ( identity != sk_c8
      | sk_c7 != inverse(X4)
      | sk_c8 != inverse(X7)
      | sk_c8 != inverse(X3)
      | sk_c6 != multiply(X7,sk_c8)
      | sk_c7 != multiply(sk_c8,sk_c6)
      | sk_c7 != multiply(X4,sk_c6)
      | sk_c8 != multiply(X3,sk_c7)
      | sk_c8 != multiply(inverse(X5),sk_c7)
      | multiply(sk_c7,sk_c8) != sk_c6 ),
    inference(forward_demodulation,[],[f35,f2360]) ).

fof(f22,axiom,
    ( sk_c7 = inverse(sk_c2)
    | sk_c7 = multiply(sk_c8,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).

fof(f26,axiom,
    ( sk_c7 = inverse(sk_c2)
    | sk_c6 = multiply(sk_c5,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).

fof(f11,axiom,
    ( sk_c8 = inverse(sk_c1)
    | sk_c8 = multiply(sk_c3,sk_c4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).

fof(f2340,plain,
    identity = inverse(identity),
    inference(superposition,[],[f2318,f392]) ).

fof(f2343,plain,
    identity = inverse(identity),
    inference(superposition,[],[f392,f2318]) ).

fof(f2387,plain,
    identity = inverse(identity),
    inference(superposition,[],[f2361,f2]) ).

fof(f2388,plain,
    identity = inverse(identity),
    inference(superposition,[],[f2361,f391]) ).

fof(f3284,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f2390,f2383]) ).

fof(f2390,plain,
    identity = inverse(inverse(inverse(identity))),
    inference(superposition,[],[f2361,f2318]) ).

fof(f2398,plain,
    identity = inverse(identity),
    inference(superposition,[],[f2,f2361]) ).

fof(f2399,plain,
    identity = inverse(identity),
    inference(superposition,[],[f391,f2361]) ).

fof(f3283,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f2401,f2383]) ).

fof(f2401,plain,
    identity = inverse(inverse(inverse(identity))),
    inference(superposition,[],[f2318,f2361]) ).

fof(f2472,plain,
    identity = inverse(identity),
    inference(superposition,[],[f2360,f1]) ).

fof(f2478,plain,
    identity = inverse(identity),
    inference(superposition,[],[f1,f2360]) ).

fof(f2553,plain,
    ! [X0] : identity = multiply(inverse(X0),multiply(X0,inverse(identity))),
    inference(superposition,[],[f2477,f2]) ).

fof(f3280,plain,
    ! [X0] : identity = multiply(inverse(X0),multiply(X0,inverse(identity))),
    inference(forward_demodulation,[],[f2556,f2383]) ).

fof(f2556,plain,
    ! [X0] : identity = multiply(inverse(inverse(inverse(X0))),multiply(X0,inverse(identity))),
    inference(superposition,[],[f2477,f2318]) ).

fof(f2647,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),inverse(identity)))),
    inference(forward_demodulation,[],[f2572,f3]) ).

fof(f2572,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(multiply(X1,inverse(multiply(X0,X1))),inverse(identity))),
    inference(superposition,[],[f2477,f2477]) ).

fof(f2574,plain,
    ! [X0] : identity = multiply(X0,multiply(inverse(X0),inverse(identity))),
    inference(superposition,[],[f2477,f2360]) ).

fof(f2581,plain,
    ! [X0] : identity = multiply(X0,inverse(multiply(X0,inverse(identity)))),
    inference(superposition,[],[f2477,f391]) ).

fof(f2669,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f2589,f2]) ).

fof(f2589,plain,
    ! [X0] : identity = inverse(multiply(inverse(X0),X0)),
    inference(superposition,[],[f2477,f61]) ).

fof(f2670,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f2590,f2360]) ).

fof(f2590,plain,
    ! [X0] : identity = inverse(multiply(X0,inverse(X0))),
    inference(superposition,[],[f2477,f2365]) ).

fof(f2680,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f2600,f2]) ).

fof(f2600,plain,
    ! [X0] : identity = inverse(multiply(inverse(X0),X0)),
    inference(superposition,[],[f61,f2477]) ).

fof(f2681,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f2601,f2360]) ).

fof(f2601,plain,
    ! [X0] : identity = inverse(multiply(X0,inverse(X0))),
    inference(superposition,[],[f2365,f2477]) ).

fof(f2753,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f2704,f2360]) ).

fof(f2704,plain,
    ! [X0] : inverse(identity) = multiply(X0,inverse(X0)),
    inference(superposition,[],[f2698,f1]) ).

fof(f3279,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(forward_demodulation,[],[f2705,f2383]) ).

fof(f2705,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,inverse(identity)),
    inference(superposition,[],[f2698,f2]) ).

fof(f3278,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(forward_demodulation,[],[f3277,f2383]) ).

fof(f3277,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,inverse(identity)),
    inference(forward_demodulation,[],[f2708,f2383]) ).

fof(f2708,plain,
    ! [X0] : inverse(inverse(inverse(inverse(X0)))) = multiply(X0,inverse(identity)),
    inference(superposition,[],[f2698,f2318]) ).

fof(f3276,plain,
    ! [X0] : inverse(X0) = multiply(inverse(X0),inverse(identity)),
    inference(forward_demodulation,[],[f2724,f2698]) ).

fof(f2724,plain,
    ! [X0,X1] : inverse(X0) = multiply(multiply(X1,inverse(multiply(X0,X1))),inverse(identity)),
    inference(superposition,[],[f2698,f2477]) ).

fof(f2726,plain,
    ! [X0] : inverse(X0) = multiply(inverse(X0),inverse(identity)),
    inference(superposition,[],[f2698,f2360]) ).

fof(f2734,plain,
    ! [X0] : inverse(X0) = inverse(multiply(X0,inverse(identity))),
    inference(superposition,[],[f2698,f391]) ).

fof(f2741,plain,
    ! [X0] : inverse(X0) = inverse(multiply(X0,inverse(identity))),
    inference(superposition,[],[f391,f2698]) ).

fof(f2863,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f2825,f2360]) ).

fof(f2825,plain,
    ! [X0] : inverse(identity) = multiply(X0,inverse(X0)),
    inference(superposition,[],[f2784,f391]) ).

fof(f2831,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(superposition,[],[f2784,f2361]) ).

fof(f3275,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(forward_demodulation,[],[f2832,f2383]) ).

fof(f2832,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,inverse(identity)),
    inference(superposition,[],[f2784,f392]) ).

fof(f3274,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f2919,f2]) ).

fof(f2919,plain,
    ! [X0] : multiply(inverse(X0),X0) = inverse(identity),
    inference(superposition,[],[f2854,f391]) ).

fof(f2927,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(superposition,[],[f2854,f2361]) ).

fof(f2933,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(superposition,[],[f2361,f2854]) ).

fof(f2956,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(superposition,[],[f2702,f2]) ).

fof(f3273,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(forward_demodulation,[],[f2959,f2383]) ).

fof(f2959,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,inverse(identity)),
    inference(superposition,[],[f2702,f2318]) ).

fof(f3272,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(forward_demodulation,[],[f3271,f2383]) ).

fof(f3271,plain,
    ! [X0] : multiply(inverse(inverse(X0)),inverse(identity)) = X0,
    inference(forward_demodulation,[],[f2970,f2698]) ).

fof(f2970,plain,
    ! [X0,X1] : multiply(multiply(X1,inverse(multiply(inverse(X0),X1))),inverse(identity)) = X0,
    inference(superposition,[],[f2702,f2477]) ).

fof(f3270,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(forward_demodulation,[],[f2971,f2383]) ).

fof(f2971,plain,
    ! [X0] : multiply(inverse(inverse(X0)),inverse(identity)) = X0,
    inference(superposition,[],[f2702,f2360]) ).

fof(f2979,plain,
    ! [X0] : inverse(multiply(inverse(X0),inverse(identity))) = X0,
    inference(superposition,[],[f2702,f391]) ).

fof(f2988,plain,
    ! [X0] : inverse(multiply(inverse(X0),inverse(identity))) = X0,
    inference(superposition,[],[f391,f2702]) ).

fof(f3060,plain,
    ! [X0] : inverse(X0) = multiply(inverse(X0),inverse(identity)),
    inference(superposition,[],[f2789,f391]) ).

fof(f3269,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f3068,f2]) ).

fof(f3068,plain,
    ! [X0] : multiply(inverse(X0),X0) = inverse(identity),
    inference(superposition,[],[f2789,f2361]) ).

fof(f3108,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f3069,f2360]) ).

fof(f3069,plain,
    ! [X0] : inverse(identity) = multiply(inverse(X0),inverse(inverse(X0))),
    inference(superposition,[],[f2789,f392]) ).

fof(f3100,plain,
    ! [X0,X1] : inverse(multiply(inverse(X0),X1)) = multiply(inverse(X1),X0),
    inference(superposition,[],[f2854,f2789]) ).

fof(f3098,plain,
    ! [X2,X0,X1] : multiply(inverse(X1),X2) = multiply(inverse(multiply(X0,X1)),multiply(X0,X2)),
    inference(superposition,[],[f3,f2789]) ).

fof(f3094,plain,
    ! [X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(X1),inverse(X0)),
    inference(superposition,[],[f2784,f2789]) ).

fof(f3079,plain,
    ! [X0,X1] : inverse(multiply(inverse(X0),X1)) = multiply(inverse(X1),X0),
    inference(superposition,[],[f2789,f2365]) ).

fof(f3078,plain,
    ! [X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(X1),inverse(X0)),
    inference(superposition,[],[f2789,f61]) ).

fof(f3067,plain,
    ! [X2,X0,X1] : inverse(X2) = multiply(inverse(multiply(X0,multiply(X1,X2))),multiply(X0,X1)),
    inference(superposition,[],[f2789,f3]) ).

fof(f2789,plain,
    ! [X0,X1] : inverse(X0) = multiply(inverse(multiply(X1,X0)),X1),
    inference(forward_demodulation,[],[f2727,f2383]) ).

fof(f2727,plain,
    ! [X0,X1] : inverse(X0) = multiply(inverse(multiply(X1,X0)),inverse(inverse(X1))),
    inference(superposition,[],[f2698,f2698]) ).

fof(f3001,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,inverse(multiply(inverse(X2),multiply(X0,X1))))) = X2,
    inference(superposition,[],[f3,f2702]) ).

fof(f3000,plain,
    ! [X0,X1] : multiply(X0,X1) = inverse(multiply(inverse(X1),inverse(X0))),
    inference(superposition,[],[f2365,f2702]) ).

fof(f2998,plain,
    ! [X2,X0,X1] : multiply(X1,X2) = multiply(X0,multiply(inverse(multiply(inverse(X1),X0)),X2)),
    inference(superposition,[],[f3,f2702]) ).

fof(f2997,plain,
    ! [X0,X1] : multiply(inverse(X0),X1) = inverse(multiply(inverse(X1),X0)),
    inference(superposition,[],[f61,f2702]) ).

fof(f2996,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(inverse(multiply(inverse(X1),X0)),inverse(X1))),
    inference(superposition,[],[f2477,f2702]) ).

fof(f2995,plain,
    ! [X0,X1] : inverse(X0) = multiply(inverse(multiply(inverse(X1),X0)),inverse(X1)),
    inference(superposition,[],[f2698,f2702]) ).

fof(f2983,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,inverse(multiply(inverse(X2),multiply(X0,X1))))) = X2,
    inference(superposition,[],[f2702,f3]) ).

fof(f2973,plain,
    ! [X0,X1] : multiply(inverse(multiply(inverse(X1),inverse(X0))),inverse(X1)) = X0,
    inference(superposition,[],[f2702,f2702]) ).

fof(f3024,plain,
    ! [X0,X1] : multiply(inverse(multiply(X1,inverse(X0))),X1) = X0,
    inference(forward_demodulation,[],[f2972,f2383]) ).

fof(f2972,plain,
    ! [X0,X1] : multiply(inverse(multiply(X1,inverse(X0))),inverse(inverse(X1))) = X0,
    inference(superposition,[],[f2702,f2698]) ).

fof(f2702,plain,
    ! [X0,X1] : multiply(X1,inverse(multiply(inverse(X0),X1))) = X0,
    inference(forward_demodulation,[],[f2612,f2361]) ).

fof(f2612,plain,
    ! [X0,X1] : multiply(X0,identity) = multiply(X1,inverse(multiply(inverse(X0),X1))),
    inference(superposition,[],[f2365,f2477]) ).

fof(f2931,plain,
    ! [X2,X0,X1] : multiply(X0,X2) = multiply(multiply(X0,inverse(X1)),multiply(X1,X2)),
    inference(superposition,[],[f3,f2854]) ).

fof(f2930,plain,
    ! [X0,X1] : multiply(inverse(multiply(X0,inverse(X1))),X0) = X1,
    inference(superposition,[],[f61,f2854]) ).

fof(f2929,plain,
    ! [X0,X1] : identity = multiply(multiply(X0,inverse(X1)),multiply(X1,inverse(X0))),
    inference(superposition,[],[f2477,f2854]) ).

fof(f2928,plain,
    ! [X0,X1] : multiply(X1,inverse(X0)) = inverse(multiply(X0,inverse(X1))),
    inference(superposition,[],[f2698,f2854]) ).

fof(f2925,plain,
    ! [X2,X0,X1] : multiply(X0,X1) = multiply(multiply(X0,multiply(X1,inverse(X2))),X2),
    inference(superposition,[],[f2854,f3]) ).

fof(f2854,plain,
    ! [X0,X1] : multiply(multiply(X1,inverse(X0)),X0) = X1,
    inference(superposition,[],[f2784,f2383]) ).

fof(f2861,plain,
    ! [X2,X0,X1] : multiply(multiply(X0,X1),multiply(inverse(X1),X2)) = multiply(X0,X2),
    inference(superposition,[],[f3,f2784]) ).

fof(f2860,plain,
    ! [X0,X1] : inverse(X1) = multiply(inverse(multiply(X0,X1)),X0),
    inference(superposition,[],[f61,f2784]) ).

fof(f2859,plain,
    ! [X0,X1] : identity = multiply(multiply(X0,X1),multiply(inverse(X1),inverse(X0))),
    inference(superposition,[],[f2477,f2784]) ).

fof(f2858,plain,
    ! [X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(X1),inverse(X0)),
    inference(superposition,[],[f2698,f2784]) ).

fof(f2842,plain,
    ! [X0,X1] : multiply(X1,inverse(multiply(inverse(X0),X1))) = X0,
    inference(superposition,[],[f2784,f2365]) ).

fof(f2830,plain,
    ! [X2,X0,X1] : multiply(X0,X1) = multiply(multiply(X0,multiply(X1,X2)),inverse(X2)),
    inference(superposition,[],[f2784,f3]) ).

fof(f2784,plain,
    ! [X0,X1] : multiply(multiply(X0,X1),inverse(X1)) = X0,
    inference(forward_demodulation,[],[f2722,f2383]) ).

fof(f2722,plain,
    ! [X0,X1] : inverse(inverse(X0)) = multiply(multiply(X0,X1),inverse(X1)),
    inference(superposition,[],[f2698,f61]) ).

fof(f2752,plain,
    ! [X2,X0,X1] : inverse(X2) = multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1))))),
    inference(superposition,[],[f3,f2698]) ).

fof(f2751,plain,
    ! [X0,X1] : inverse(multiply(X1,inverse(X0))) = multiply(X0,inverse(X1)),
    inference(superposition,[],[f2365,f2698]) ).

fof(f2749,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(inverse(multiply(X1,X0)),X2)) = multiply(inverse(X1),X2),
    inference(superposition,[],[f3,f2698]) ).

fof(f2748,plain,
    ! [X0,X1] : inverse(multiply(X1,X0)) = multiply(inverse(X0),inverse(X1)),
    inference(superposition,[],[f61,f2698]) ).

fof(f2821,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(inverse(multiply(X1,X0)),X1)),
    inference(forward_demodulation,[],[f2747,f2383]) ).

fof(f2747,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(inverse(multiply(X1,X0)),inverse(inverse(X1)))),
    inference(superposition,[],[f2477,f2698]) ).

fof(f2738,plain,
    ! [X2,X0,X1] : inverse(X2) = multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1))))),
    inference(superposition,[],[f2698,f3]) ).

fof(f2723,plain,
    ! [X0,X1] : inverse(X0) = multiply(multiply(inverse(X0),X1),inverse(X1)),
    inference(superposition,[],[f2698,f2365]) ).

fof(f2711,plain,
    ! [X2,X0,X1] : inverse(multiply(X0,X1)) = multiply(X2,inverse(multiply(X0,multiply(X1,X2)))),
    inference(superposition,[],[f2698,f3]) ).

fof(f2698,plain,
    ! [X0,X1] : inverse(X0) = multiply(X1,inverse(multiply(X0,X1))),
    inference(forward_demodulation,[],[f2609,f2361]) ).

fof(f2609,plain,
    ! [X0,X1] : multiply(inverse(X0),identity) = multiply(X1,inverse(multiply(X0,X1))),
    inference(superposition,[],[f61,f2477]) ).

fof(f2703,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(X0,multiply(X1,X2)))))),
    inference(forward_demodulation,[],[f2613,f3]) ).

fof(f2613,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(multiply(X0,X1),X2))))),
    inference(superposition,[],[f3,f2477]) ).

fof(f2700,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
    inference(forward_demodulation,[],[f2699,f3]) ).

fof(f2699,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,inverse(multiply(X0,X1))),X2)) = X2,
    inference(forward_demodulation,[],[f2610,f1]) ).

fof(f2610,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,inverse(multiply(X0,X1))),X2)) = multiply(identity,X2),
    inference(superposition,[],[f3,f2477]) ).

fof(f2676,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(X0,multiply(X1,X2)))))),
    inference(forward_demodulation,[],[f2596,f3]) ).

fof(f2596,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(multiply(X0,X1),X2))))),
    inference(superposition,[],[f2477,f3]) ).

fof(f2585,plain,
    ! [X2,X0,X1] : identity = multiply(X2,multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1)))))),
    inference(superposition,[],[f2477,f3]) ).

fof(f2559,plain,
    ! [X2,X0,X1] : identity = multiply(multiply(X0,X1),multiply(X2,inverse(multiply(X0,multiply(X1,X2))))),
    inference(superposition,[],[f2477,f3]) ).

fof(f2477,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
    inference(superposition,[],[f2360,f3]) ).

fof(f2535,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
    inference(superposition,[],[f3,f2365]) ).

fof(f2525,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
    inference(superposition,[],[f2365,f3]) ).

fof(f2365,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f404,f61]) ).

fof(f2488,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
    inference(superposition,[],[f3,f2360]) ).

fof(f2497,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(forward_demodulation,[],[f2486,f1]) ).

fof(f2486,plain,
    ! [X0,X1] : multiply(identity,X1) = multiply(X0,multiply(inverse(X0),X1)),
    inference(superposition,[],[f3,f2360]) ).

fof(f2360,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f404,f2]) ).

fof(f2467,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f2,f2383]) ).

fof(f2466,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f61,f2383]) ).

fof(f2383,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(superposition,[],[f2361,f392]) ).

fof(f2427,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(forward_demodulation,[],[f2408,f2361]) ).

fof(f2408,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,identity),
    inference(superposition,[],[f404,f2361]) ).

fof(f2394,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(superposition,[],[f392,f2361]) ).

fof(f2418,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(forward_demodulation,[],[f2392,f2361]) ).

fof(f2392,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,identity),
    inference(superposition,[],[f2361,f404]) ).

fof(f2361,plain,
    ! [X0] : multiply(X0,identity) = X0,
    inference(superposition,[],[f404,f392]) ).

fof(f2377,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f61,f404]) ).

fof(f2373,plain,
    ! [X0] : multiply(X0,identity) = X0,
    inference(superposition,[],[f392,f404]) ).

fof(f2371,plain,
    ! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
    inference(superposition,[],[f61,f404]) ).

fof(f2370,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f2,f404]) ).

fof(f404,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
    inference(superposition,[],[f61,f61]) ).

fof(f2348,plain,
    ! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f2342,f1]) ).

fof(f2342,plain,
    ! [X0,X1] : multiply(identity,X1) = multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)),
    inference(superposition,[],[f3,f2318]) ).

fof(f2341,plain,
    ! [X0] : multiply(inverse(inverse(inverse(inverse(X0)))),identity) = X0,
    inference(superposition,[],[f61,f2318]) ).

fof(f2318,plain,
    ! [X0] : identity = multiply(inverse(inverse(inverse(X0))),X0),
    inference(superposition,[],[f61,f392]) ).

fof(f2321,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
    inference(forward_demodulation,[],[f2319,f1]) ).

fof(f2319,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),multiply(identity,X1)),
    inference(superposition,[],[f3,f392]) ).

fof(f392,plain,
    ! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[],[f61,f2]) ).

fof(f24,axiom,
    ( sk_c4 = inverse(sk_c3)
    | sk_c7 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).

fof(f6,axiom,
    ( sk_c4 = inverse(sk_c3)
    | multiply(sk_c7,sk_c8) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).

fof(f23,axiom,
    ( sk_c7 = inverse(sk_c2)
    | sk_c8 = multiply(sk_c3,sk_c4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).

fof(f25,axiom,
    ( sk_c7 = inverse(sk_c2)
    | sk_c8 = multiply(sk_c4,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).

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

fof(f644,plain,
    ! [X0] : multiply(inverse(inverse(identity)),X0) = X0,
    inference(superposition,[],[f61,f391]) ).

fof(f391,plain,
    ! [X0] : multiply(inverse(identity),X0) = X0,
    inference(superposition,[],[f61,f1]) ).

fof(f35,plain,
    ! [X3,X7,X4,X5] :
      ( sk_c7 != inverse(X4)
      | sk_c8 != inverse(X7)
      | sk_c8 != inverse(X3)
      | sk_c6 != multiply(X7,sk_c8)
      | sk_c7 != multiply(sk_c8,sk_c6)
      | sk_c7 != multiply(X4,sk_c6)
      | sk_c8 != multiply(X3,sk_c7)
      | sk_c8 != multiply(inverse(X5),sk_c7)
      | sk_c8 != multiply(X5,inverse(X5))
      | multiply(sk_c7,sk_c8) != sk_c6 ),
    inference(equality_resolution,[],[f34]) ).

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

fof(f395,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(f27,axiom,
    ( sk_c7 = inverse(sk_c2)
    | sk_c8 = inverse(sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).

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(f12,axiom,
    ( sk_c4 = inverse(sk_c3)
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).

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(f4139,plain,
    ( ~ spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f4138]) ).

fof(f4138,plain,
    ( $false
    | ~ spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(subsumption_resolution,[],[f4137,f4078]) ).

fof(f4078,plain,
    ( identity != sk_c7
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_11 ),
    inference(superposition,[],[f1184,f4073]) ).

fof(f4073,plain,
    ( sk_c7 = sk_c8
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3899,f3847]) ).

fof(f3899,plain,
    ( sk_c8 = multiply(sk_c2,sk_c6)
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3894,f3315]) ).

fof(f3315,plain,
    ( sk_c2 = inverse(sk_c7)
    | ~ spl0_6 ),
    inference(superposition,[],[f2383,f212]) ).

fof(f212,plain,
    ( sk_c7 = inverse(sk_c2)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f210]) ).

fof(f210,plain,
    ( spl0_6
  <=> sk_c7 = inverse(sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f3894,plain,
    ( sk_c8 = multiply(inverse(sk_c7),sk_c6)
    | ~ spl0_9 ),
    inference(superposition,[],[f61,f726]) ).

fof(f726,plain,
    ( multiply(sk_c7,sk_c8) = sk_c6
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f724]) ).

fof(f1184,plain,
    ( identity != sk_c8
    | spl0_11 ),
    inference(avatar_component_clause,[],[f1183]) ).

fof(f1183,plain,
    ( spl0_11
  <=> identity = sk_c8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f4137,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f4129,f2]) ).

fof(f4129,plain,
    ( sk_c7 = multiply(inverse(sk_c7),sk_c7)
    | ~ spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f61,f4123]) ).

fof(f4123,plain,
    ( sk_c7 = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f4059,f4118]) ).

fof(f4118,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f4117,f4073]) ).

fof(f4117,plain,
    ( sk_c8 = sk_c6
    | ~ spl0_1
    | spl0_5
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f3910,f3853]) ).

fof(f3910,plain,
    ( sk_c6 = multiply(sk_c1,sk_c7)
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f3904,f3872]) ).

fof(f3872,plain,
    ( sk_c1 = inverse(sk_c8)
    | ~ spl0_1 ),
    inference(superposition,[],[f2383,f39]) ).

fof(f39,plain,
    ( sk_c8 = inverse(sk_c1)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f37]) ).

fof(f37,plain,
    ( spl0_1
  <=> sk_c8 = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f3904,plain,
    ( sk_c6 = multiply(inverse(sk_c8),sk_c7)
    | ~ spl0_10 ),
    inference(superposition,[],[f61,f730]) ).

fof(f730,plain,
    ( sk_c7 = multiply(sk_c8,sk_c6)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f728]) ).

fof(f728,plain,
    ( spl0_10
  <=> sk_c7 = multiply(sk_c8,sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f4059,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f4053,f212]) ).

fof(f4053,plain,
    ( sk_c6 = multiply(inverse(sk_c2),sk_c7)
    | spl0_5 ),
    inference(superposition,[],[f61,f3847]) ).

fof(f4134,plain,
    ( ~ spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f4133]) ).

fof(f4133,plain,
    ( $false
    | ~ spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(subsumption_resolution,[],[f4132,f4078]) ).

fof(f4132,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f4126,f2360]) ).

fof(f4126,plain,
    ( sk_c7 = multiply(sk_c7,inverse(sk_c7))
    | ~ spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f2784,f4123]) ).

fof(f4044,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f4043]) ).

fof(f4043,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(subsumption_resolution,[],[f4042,f3962]) ).

fof(f3962,plain,
    ( identity != sk_c7
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_11 ),
    inference(superposition,[],[f1184,f3957]) ).

fof(f3957,plain,
    ( sk_c7 = sk_c8
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3899,f3845]) ).

fof(f3845,plain,
    ( sk_c7 = multiply(sk_c2,sk_c6)
    | ~ spl0_2
    | spl0_5 ),
    inference(global_subsumption,[],[f3844,f1,f2,f12,f3,f27,f61,f395,f35,f391,f644,f4,f7,f25,f23,f29,f5,f30,f18,f6,f24,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3281,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f32,f31,f17,f11,f16,f13,f19,f14,f15,f26,f8,f20,f33,f21,f9,f10,f22,f28,f207]) ).

fof(f3844,plain,
    ( identity = sk_c8
    | sk_c7 = multiply(sk_c2,sk_c6)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f29,f3643]) ).

fof(f3643,plain,
    ( identity = multiply(sk_c3,sk_c4)
    | ~ spl0_2 ),
    inference(superposition,[],[f2360,f43]) ).

fof(f43,plain,
    ( sk_c4 = inverse(sk_c3)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f41]) ).

fof(f41,plain,
    ( spl0_2
  <=> sk_c4 = inverse(sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f4042,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f4034,f2]) ).

fof(f4034,plain,
    ( sk_c7 = multiply(inverse(sk_c7),sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f61,f4028]) ).

fof(f4028,plain,
    ( sk_c7 = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f3921,f4023]) ).

fof(f4023,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f4022,f3957]) ).

fof(f4022,plain,
    ( sk_c8 = sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f3910,f3850]) ).

fof(f3850,plain,
    ( sk_c8 = multiply(sk_c1,sk_c7)
    | ~ spl0_2
    | spl0_5 ),
    inference(global_subsumption,[],[f3849,f1,f2,f12,f3,f27,f61,f395,f35,f391,f644,f4,f7,f25,f23,f29,f5,f30,f18,f6,f24,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f17,f11,f16,f13,f19,f14,f15,f26,f8,f20,f33,f21,f9,f10,f22,f28,f207,f3281,f32,f3847,f31,f3848]) ).

fof(f3849,plain,
    ( identity = sk_c8
    | sk_c8 = multiply(sk_c1,sk_c7)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f17,f3643]) ).

fof(f3921,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f3915,f212]) ).

fof(f3915,plain,
    ( sk_c6 = multiply(inverse(sk_c2),sk_c7)
    | ~ spl0_2
    | spl0_5 ),
    inference(superposition,[],[f61,f3845]) ).

fof(f4039,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f4038]) ).

fof(f4038,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(subsumption_resolution,[],[f4037,f3962]) ).

fof(f4037,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f4031,f2360]) ).

fof(f4031,plain,
    ( sk_c7 = multiply(sk_c7,inverse(sk_c7))
    | ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f2784,f4028]) ).

fof(f3983,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3982]) ).

fof(f3982,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f3981,f3957]) ).

fof(f3981,plain,
    ( sk_c7 != sk_c8
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(superposition,[],[f3974,f39]) ).

fof(f3974,plain,
    ( sk_c7 != inverse(sk_c1)
    | ~ spl0_2
    | ~ spl0_3
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f3963,f3957]) ).

fof(f3963,plain,
    ( sk_c7 != sk_c8
    | sk_c7 != inverse(sk_c1)
    | ~ spl0_2
    | ~ spl0_3
    | spl0_5 ),
    inference(superposition,[],[f195,f3850]) ).

fof(f195,plain,
    ( ! [X4] :
        ( sk_c7 != multiply(X4,sk_c7)
        | sk_c7 != inverse(X4) )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f194]) ).

fof(f194,plain,
    ( spl0_3
  <=> ! [X4] :
        ( sk_c7 != inverse(X4)
        | sk_c7 != multiply(X4,sk_c7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f3843,plain,
    ( spl0_1
    | spl0_5
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3842]) ).

fof(f3842,plain,
    ( $false
    | spl0_1
    | spl0_5
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f3841,f1,f2,f12,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f76,f90,f77,f91,f99,f78,f101,f74,f121,f124,f27,f61,f395,f35,f391,f644,f4,f38,f72,f7,f25,f23,f29,f5,f30,f18,f6,f24,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3281,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f32,f31,f17,f11,f16,f13,f19,f14,f15,f26,f8,f20,f33,f21,f9,f10,f22,f28,f207]) ).

fof(f72,plain,
    ( sk_c7 = sk_c8
    | spl0_1 ),
    inference(forward_demodulation,[],[f70,f48]) ).

fof(f70,plain,
    ( sk_c8 = multiply(sk_c8,sk_c6)
    | spl0_1 ),
    inference(superposition,[],[f65,f51]) ).

fof(f38,plain,
    ( sk_c8 != inverse(sk_c1)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f37]) ).

fof(f124,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c6,X0))
    | spl0_1 ),
    inference(forward_demodulation,[],[f57,f72]) ).

fof(f121,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c5,multiply(sk_c7,X0))
    | spl0_1 ),
    inference(forward_demodulation,[],[f56,f72]) ).

fof(f74,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c5,X0)) = X0
    | spl0_1 ),
    inference(superposition,[],[f65,f72]) ).

fof(f101,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c5,X0)) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f100,f1]) ).

fof(f100,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c5,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f78]) ).

fof(f78,plain,
    ( identity = multiply(sk_c7,sk_c5)
    | spl0_1 ),
    inference(superposition,[],[f47,f72]) ).

fof(f99,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c6 != multiply(sk_c7,sk_c7)
        | sk_c7 != multiply(X5,inverse(X5))
        | sk_c7 != multiply(inverse(X5),sk_c7)
        | sk_c7 != multiply(X3,sk_c7)
        | sk_c6 != multiply(X7,sk_c7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X7)
        | sk_c7 != inverse(X4)
        | sk_c7 != multiply(X4,sk_c6) )
    | spl0_1 ),
    inference(forward_demodulation,[],[f98,f72]) ).

fof(f98,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != multiply(X5,inverse(X5))
        | sk_c7 != multiply(inverse(X5),sk_c7)
        | sk_c7 != multiply(X3,sk_c7)
        | sk_c6 != multiply(X7,sk_c7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X7)
        | sk_c7 != inverse(X4)
        | sk_c7 != multiply(X4,sk_c6)
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | spl0_1 ),
    inference(forward_demodulation,[],[f97,f72]) ).

fof(f97,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != multiply(inverse(X5),sk_c7)
        | sk_c7 != multiply(X3,sk_c7)
        | sk_c6 != multiply(X7,sk_c7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X7)
        | sk_c7 != inverse(X4)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c8 != multiply(X5,inverse(X5))
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | spl0_1 ),
    inference(forward_demodulation,[],[f96,f72]) ).

fof(f96,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != multiply(X3,sk_c7)
        | sk_c6 != multiply(X7,sk_c7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X7)
        | sk_c7 != inverse(X4)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c8 != multiply(inverse(X5),sk_c7)
        | sk_c8 != multiply(X5,inverse(X5))
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | spl0_1 ),
    inference(forward_demodulation,[],[f95,f72]) ).

fof(f95,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c6 != multiply(X7,sk_c7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X7)
        | sk_c7 != inverse(X4)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(inverse(X5),sk_c7)
        | sk_c8 != multiply(X5,inverse(X5))
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | spl0_1 ),
    inference(forward_demodulation,[],[f94,f72]) ).

fof(f94,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != inverse(X3)
        | sk_c7 != inverse(X7)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(X7,sk_c8)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(inverse(X5),sk_c7)
        | sk_c8 != multiply(X5,inverse(X5))
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | spl0_1 ),
    inference(forward_demodulation,[],[f93,f72]) ).

fof(f93,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != inverse(X7)
        | sk_c7 != inverse(X4)
        | sk_c8 != inverse(X3)
        | sk_c6 != multiply(X7,sk_c8)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(inverse(X5),sk_c7)
        | sk_c8 != multiply(X5,inverse(X5))
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | spl0_1 ),
    inference(forward_demodulation,[],[f92,f72]) ).

fof(f92,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != inverse(X4)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X3)
        | sk_c6 != multiply(X7,sk_c8)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(inverse(X5),sk_c7)
        | sk_c8 != multiply(X5,inverse(X5))
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | spl0_1 ),
    inference(subsumption_resolution,[],[f35,f48]) ).

fof(f91,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c6,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f77]) ).

fof(f77,plain,
    ( sk_c7 = multiply(sk_c7,sk_c6)
    | spl0_1 ),
    inference(superposition,[],[f48,f72]) ).

fof(f90,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c5,multiply(sk_c7,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f76]) ).

fof(f76,plain,
    ( sk_c6 = multiply(sk_c5,sk_c7)
    | spl0_1 ),
    inference(superposition,[],[f51,f72]) ).

fof(f65,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f60,f1]) ).

fof(f60,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c5,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f47]) ).

fof(f59,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c3,multiply(sk_c4,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f49]) ).

fof(f57,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c6,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f48]) ).

fof(f56,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c8,X0)) = multiply(sk_c6,X0)
    | spl0_1 ),
    inference(superposition,[],[f3,f51]) ).

fof(f55,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c7,X0)) = multiply(sk_c8,X0)
    | spl0_1 ),
    inference(superposition,[],[f3,f50]) ).

fof(f51,plain,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f14,f38]) ).

fof(f50,plain,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f13,f38]) ).

fof(f49,plain,
    ( sk_c8 = multiply(sk_c3,sk_c4)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f11,f38]) ).

fof(f48,plain,
    ( sk_c7 = multiply(sk_c8,sk_c6)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f10,f38]) ).

fof(f47,plain,
    ( identity = multiply(sk_c8,sk_c5)
    | spl0_1 ),
    inference(superposition,[],[f2,f46]) ).

fof(f46,plain,
    ( sk_c8 = inverse(sk_c5)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f15,f38]) ).

fof(f3841,plain,
    ( identity != inverse(sk_c1)
    | spl0_1
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f38,f1185]) ).

fof(f1185,plain,
    ( identity = sk_c8
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f1183]) ).

fof(f3840,plain,
    ( spl0_1
    | spl0_5
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3839]) ).

fof(f3839,plain,
    ( $false
    | spl0_1
    | spl0_5
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f3838,f3461]) ).

fof(f3461,plain,
    ( identity != inverse(sk_c5)
    | spl0_5
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f207,f1185]) ).

fof(f3838,plain,
    ( identity = inverse(sk_c5)
    | spl0_1
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f46,f1185]) ).

fof(f3837,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_5 ),
    inference(avatar_contradiction_clause,[],[f3836]) ).

fof(f3836,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_5 ),
    inference(global_subsumption,[],[f80,f1,f2,f12,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f76,f90,f77,f91,f99,f78,f101,f74,f121,f124,f27,f61,f395,f35,f391,f644,f4,f38,f72,f7,f25,f23,f29,f5,f30,f18,f6,f24,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3281,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f32,f31,f17,f11,f16,f13,f19,f14,f15,f26,f8,f20,f33,f21,f9,f10,f22,f28,f207]) ).

fof(f80,plain,
    ( sk_c7 = sk_c4
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f79,f72]) ).

fof(f79,plain,
    ( sk_c8 = sk_c4
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f75,f50]) ).

fof(f75,plain,
    ( sk_c4 = multiply(sk_c4,sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f66,f72]) ).

fof(f66,plain,
    ( sk_c4 = multiply(sk_c4,sk_c8)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f64,f49]) ).

fof(f64,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c3,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f58,f1]) ).

fof(f58,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c4,multiply(sk_c3,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f45]) ).

fof(f45,plain,
    ( identity = multiply(sk_c4,sk_c3)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f43]) ).

fof(f3835,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_5 ),
    inference(avatar_contradiction_clause,[],[f3834]) ).

fof(f3834,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_5 ),
    inference(global_subsumption,[],[f158,f1,f2,f12,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f76,f90,f77,f91,f99,f78,f101,f74,f121,f124,f27,f61,f395,f35,f391,f644,f4,f38,f72,f7,f25,f23,f29,f5,f30,f18,f6,f24,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3281,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f32,f31,f17,f11,f16,f13,f19,f14,f15,f26,f8,f20,f33,f21,f9,f10,f22,f28,f207]) ).

fof(f158,plain,
    ( sk_c7 = inverse(identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f151,f80]) ).

fof(f151,plain,
    ( sk_c4 = inverse(identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f43,f139]) ).

fof(f139,plain,
    ( identity = sk_c3
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f127,f85]) ).

fof(f85,plain,
    ( identity = multiply(sk_c7,sk_c3)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f45,f80]) ).

fof(f127,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f120,f74]) ).

fof(f120,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c7,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f119,f80]) ).

fof(f119,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c4,multiply(sk_c7,X0))
    | spl0_1 ),
    inference(forward_demodulation,[],[f55,f72]) ).

fof(f3833,plain,
    ( spl0_1
    | spl0_5
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3832]) ).

fof(f3832,plain,
    ( $false
    | spl0_1
    | spl0_5
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f3831,f1,f2,f12,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f76,f90,f77,f91,f99,f78,f101,f74,f121,f124,f27,f61,f395,f35,f391,f644,f4,f38,f72,f7,f25,f23,f29,f5,f30,f18,f6,f24,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3281,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f32,f31,f17,f11,f16,f13,f19,f14,f15,f26,f8,f20,f33,f21,f9,f10,f22,f28,f207]) ).

fof(f3831,plain,
    ( identity = sk_c7
    | spl0_1
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f72,f1185]) ).

fof(f3830,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_5 ),
    inference(avatar_contradiction_clause,[],[f3829]) ).

fof(f3829,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_5 ),
    inference(global_subsumption,[],[f139,f1,f2,f12,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f76,f90,f77,f91,f99,f78,f101,f74,f121,f124,f27,f61,f395,f35,f391,f644,f4,f38,f72,f7,f25,f23,f29,f5,f30,f18,f6,f24,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3281,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f32,f31,f17,f11,f16,f13,f19,f14,f15,f26,f8,f20,f33,f21,f9,f10,f22,f28,f207]) ).

fof(f3828,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_5 ),
    inference(avatar_contradiction_clause,[],[f3827]) ).

fof(f3827,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_5 ),
    inference(global_subsumption,[],[f140,f1,f2,f12,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f76,f90,f77,f91,f99,f78,f101,f74,f121,f124,f27,f61,f395,f35,f391,f644,f4,f38,f72,f7,f25,f23,f29,f5,f30,f18,f6,f24,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3281,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f32,f31,f17,f11,f16,f13,f19,f14,f15,f26,f8,f20,f33,f21,f9,f10,f22,f28,f207]) ).

fof(f140,plain,
    ( identity = sk_c5
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f127,f78]) ).

fof(f3826,plain,
    ( spl0_1
    | spl0_5
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3825]) ).

fof(f3825,plain,
    ( $false
    | spl0_1
    | spl0_5
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1597,f1,f2,f12,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f76,f90,f77,f91,f99,f78,f101,f74,f121,f124,f27,f61,f395,f35,f391,f644,f4,f38,f72,f7,f25,f23,f29,f5,f30,f18,f6,f24,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3281,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f32,f31,f17,f11,f16,f13,f19,f14,f15,f26,f8,f20,f33,f21,f9,f10,f22,f28,f207]) ).

fof(f1597,plain,
    ( identity = sk_c7
    | spl0_1
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f72,f1185]) ).

fof(f3824,plain,
    ( spl0_1
    | spl0_5
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3823]) ).

fof(f3823,plain,
    ( $false
    | spl0_1
    | spl0_5
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1603,f1,f2,f12,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f76,f90,f77,f91,f99,f78,f101,f74,f121,f124,f27,f61,f395,f35,f391,f644,f4,f38,f72,f7,f25,f23,f29,f5,f30,f18,f6,f24,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3281,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f32,f31,f17,f11,f16,f13,f19,f14,f15,f26,f8,f20,f33,f21,f9,f10,f22,f28,f207]) ).

fof(f1603,plain,
    ( identity != inverse(sk_c1)
    | spl0_1
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f38,f1185]) ).

fof(f3822,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_5 ),
    inference(avatar_contradiction_clause,[],[f3821]) ).

fof(f3821,plain,
    ( $false
    | spl0_1
    | ~ spl0_3
    | spl0_5 ),
    inference(global_subsumption,[],[f195,f1,f2,f12,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f76,f90,f77,f91,f99,f78,f101,f74,f121,f124,f27,f61,f395,f35,f391,f644,f4,f38,f72,f7,f25,f23,f29,f5,f30,f18,f6,f24,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3281,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f32,f31,f17,f11,f16,f13,f19,f14,f15,f26,f8,f20,f33,f21,f9,f10,f22,f28,f207]) ).

fof(f3820,plain,
    ( spl0_1
    | spl0_5
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3819]) ).

fof(f3819,plain,
    ( $false
    | spl0_1
    | spl0_5
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f3489,f1,f2,f12,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f76,f90,f77,f91,f99,f78,f101,f74,f121,f124,f27,f61,f395,f35,f391,f644,f4,f38,f72,f7,f25,f23,f29,f5,f30,f18,f6,f24,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3281,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f32,f31,f17,f11,f16,f13,f19,f14,f15,f26,f8,f20,f33,f21,f9,f10,f22,f28,f207]) ).

fof(f3489,plain,
    ( identity = inverse(sk_c1)
    | spl0_5
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f27,f61,f395,f35,f391,f644,f4,f1549,f1517,f1590,f1594,f7,f25,f23,f29,f5,f30,f18,f6,f24,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3281,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f32,f31,f17,f11,f16,f13,f19,f14,f15,f26,f8,f20,f33,f21,f9,f10,f22,f28,f207,f1185,f3461,f3473,f3474,f3488]) ).

fof(f3488,plain,
    ( identity = inverse(sk_c1)
    | identity = inverse(sk_c5)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3487,f1185]) ).

fof(f3487,plain,
    ( identity = inverse(sk_c5)
    | sk_c8 = inverse(sk_c1)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f15,f1185]) ).

fof(f3474,plain,
    ( identity = multiply(sk_c1,sk_c7)
    | spl0_5
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f27,f61,f395,f35,f391,f644,f4,f1549,f1517,f1590,f1594,f7,f25,f23,f29,f5,f30,f18,f6,f24,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3281,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f32,f31,f17,f11,f16,f13,f19,f14,f15,f26,f8,f20,f33,f21,f9,f10,f22,f28,f207,f1185,f3461,f3473]) ).

fof(f3473,plain,
    ( identity = multiply(sk_c1,sk_c7)
    | identity = inverse(sk_c5)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3472,f1185]) ).

fof(f3472,plain,
    ( identity = inverse(sk_c5)
    | sk_c8 = multiply(sk_c1,sk_c7)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f21,f1185]) ).

fof(f1594,plain,
    ( identity = multiply(sk_c4,sk_c7)
    | identity = inverse(sk_c1)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1593,f1185]) ).

fof(f1593,plain,
    ( identity = inverse(sk_c1)
    | sk_c8 = multiply(sk_c4,sk_c7)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f13,f1185]) ).

fof(f1590,plain,
    ( identity = multiply(sk_c4,sk_c7)
    | identity = multiply(sk_c1,sk_c7)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1589,f1185]) ).

fof(f1589,plain,
    ( identity = multiply(sk_c1,sk_c7)
    | sk_c8 = multiply(sk_c4,sk_c7)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f19,f1185]) ).

fof(f1517,plain,
    ( sk_c6 = multiply(sk_c7,identity)
    | identity = multiply(sk_c4,sk_c7)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1516,f1185]) ).

fof(f1516,plain,
    ( identity = multiply(sk_c4,sk_c7)
    | multiply(sk_c7,sk_c8) = sk_c6
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f7,f1185]) ).

fof(f1549,plain,
    ( identity = multiply(sk_c4,sk_c7)
    | sk_c7 = inverse(sk_c2)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f25,f1185]) ).

fof(f3818,plain,
    ( spl0_1
    | spl0_5
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3817]) ).

fof(f3817,plain,
    ( $false
    | spl0_1
    | spl0_5
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f3493,f1,f2,f12,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f76,f90,f77,f91,f99,f78,f101,f74,f121,f124,f27,f61,f395,f35,f391,f644,f4,f38,f72,f7,f25,f23,f29,f5,f30,f18,f6,f24,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3281,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f32,f31,f17,f11,f16,f13,f19,f14,f15,f26,f8,f20,f33,f21,f9,f10,f22,f28,f207]) ).

fof(f3493,plain,
    ( identity = inverse(sk_c1)
    | spl0_5
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f3492,f1,f2,f12,f3,f27,f61,f395,f35,f391,f644,f4,f1549,f1517,f1590,f1594,f7,f25,f23,f29,f5,f30,f18,f6,f24,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3281,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f32,f31,f17,f11,f16,f13,f19,f14,f15,f26,f8,f20,f33,f21,f9,f10,f22,f28,f207,f1185,f3461,f3473,f3474,f3488,f3489]) ).

fof(f3492,plain,
    ( sk_c7 = multiply(sk_c5,identity)
    | identity = inverse(sk_c1)
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3491,f3442]) ).

fof(f3442,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1579,f2361]) ).

fof(f1579,plain,
    ( sk_c6 = multiply(sk_c7,identity)
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f726,f1185]) ).

fof(f3491,plain,
    ( sk_c6 = multiply(sk_c5,identity)
    | identity = inverse(sk_c1)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3490,f1185]) ).

fof(f3490,plain,
    ( identity = inverse(sk_c1)
    | sk_c6 = multiply(sk_c5,sk_c8)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f14,f1185]) ).

fof(f3816,plain,
    ( spl0_1
    | spl0_5
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3815]) ).

fof(f3815,plain,
    ( $false
    | spl0_1
    | spl0_5
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f3499,f1,f2,f12,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f76,f90,f77,f91,f99,f78,f101,f74,f121,f124,f27,f61,f395,f35,f391,f644,f4,f38,f72,f7,f25,f23,f29,f5,f30,f18,f6,f24,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3281,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f32,f31,f17,f11,f16,f13,f19,f14,f15,f26,f8,f20,f33,f21,f9,f10,f22,f28,f207]) ).

fof(f3499,plain,
    ( identity = inverse(sk_c1)
    | spl0_5
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f27,f61,f395,f35,f391,f644,f4,f1549,f1517,f1590,f1594,f7,f25,f23,f29,f5,f30,f18,f6,f24,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3281,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f32,f31,f17,f11,f16,f13,f19,f14,f15,f26,f8,f20,f33,f21,f9,f10,f22,f28,f207,f1185,f3461,f3473,f3474,f3488,f3489,f3495,f3496,f3498]) ).

fof(f3498,plain,
    ( identity = multiply(sk_c4,sk_c7)
    | identity = inverse(sk_c1)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3497,f1185]) ).

fof(f3497,plain,
    ( identity = inverse(sk_c1)
    | sk_c8 = multiply(sk_c4,sk_c7)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f13,f1185]) ).

fof(f3496,plain,
    ( identity = multiply(sk_c1,sk_c7)
    | spl0_5
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f27,f61,f395,f35,f391,f644,f4,f1549,f1517,f1590,f1594,f7,f25,f23,f29,f5,f30,f18,f6,f24,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3281,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f32,f31,f17,f11,f16,f13,f19,f14,f15,f26,f8,f20,f33,f21,f9,f10,f22,f28,f207,f1185,f3461,f3473,f3474,f3488,f3489,f3495]) ).

fof(f3495,plain,
    ( identity = multiply(sk_c4,sk_c7)
    | identity = multiply(sk_c1,sk_c7)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3494,f1185]) ).

fof(f3494,plain,
    ( identity = multiply(sk_c1,sk_c7)
    | sk_c8 = multiply(sk_c4,sk_c7)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f19,f1185]) ).

fof(f3814,plain,
    ( spl0_1
    | spl0_5
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3813]) ).

fof(f3813,plain,
    ( $false
    | spl0_1
    | spl0_5
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f3504,f1,f2,f12,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f76,f90,f77,f91,f99,f78,f101,f74,f121,f124,f27,f61,f395,f35,f391,f644,f4,f38,f72,f7,f25,f23,f29,f5,f30,f18,f6,f24,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3281,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f32,f31,f17,f11,f16,f13,f19,f14,f15,f26,f8,f20,f33,f21,f9,f10,f22,f28,f207]) ).

fof(f3504,plain,
    ( identity = inverse(sk_c1)
    | spl0_5
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f27,f61,f395,f35,f391,f644,f4,f1549,f1517,f1590,f1594,f7,f25,f23,f29,f5,f30,f18,f6,f24,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3281,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f32,f31,f17,f11,f16,f13,f19,f14,f15,f26,f8,f20,f33,f21,f9,f10,f22,f28,f207,f1185,f3461,f3473,f3474,f3488,f3489,f3495,f3496,f3498,f3499,f3503]) ).

fof(f3503,plain,
    ( identity = multiply(sk_c3,sk_c4)
    | identity = inverse(sk_c1)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3502,f1185]) ).

fof(f3502,plain,
    ( identity = inverse(sk_c1)
    | sk_c8 = multiply(sk_c3,sk_c4)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f11,f1185]) ).

fof(f3812,plain,
    ( spl0_1
    | spl0_5
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3811]) ).

fof(f3811,plain,
    ( $false
    | spl0_1
    | spl0_5
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f3507,f1,f2,f12,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f76,f90,f77,f91,f99,f78,f101,f74,f121,f124,f27,f61,f395,f35,f391,f644,f4,f38,f72,f7,f25,f23,f29,f5,f30,f18,f6,f24,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3281,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f32,f31,f17,f11,f16,f13,f19,f14,f15,f26,f8,f20,f33,f21,f9,f10,f22,f28,f207]) ).

fof(f3507,plain,
    ( identity = multiply(sk_c1,sk_c7)
    | spl0_5
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f27,f61,f395,f35,f391,f644,f4,f1549,f1517,f1590,f1594,f7,f25,f23,f29,f5,f30,f18,f6,f24,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3281,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f32,f31,f17,f11,f16,f13,f19,f14,f15,f26,f8,f20,f33,f21,f9,f10,f22,f28,f207,f1185,f3461,f3473,f3474,f3488,f3489,f3495,f3496,f3498,f3499,f3503,f3504,f3506]) ).

fof(f3506,plain,
    ( identity = multiply(sk_c1,sk_c7)
    | identity = multiply(sk_c3,sk_c4)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3505,f1185]) ).

fof(f3505,plain,
    ( identity = multiply(sk_c3,sk_c4)
    | sk_c8 = multiply(sk_c1,sk_c7)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f17,f1185]) ).

fof(f3810,plain,
    ( spl0_1
    | spl0_5
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3809]) ).

fof(f3809,plain,
    ( $false
    | spl0_1
    | spl0_5
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f3496,f1,f2,f12,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f76,f90,f77,f91,f99,f78,f101,f74,f121,f124,f27,f61,f395,f35,f391,f644,f4,f38,f72,f7,f25,f23,f29,f5,f30,f18,f6,f24,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3281,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f32,f31,f17,f11,f16,f13,f19,f14,f15,f26,f8,f20,f33,f21,f9,f10,f22,f28,f207]) ).

fof(f3808,plain,
    ( spl0_1
    | spl0_5
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3807]) ).

fof(f3807,plain,
    ( $false
    | spl0_1
    | spl0_5
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f3482,f1,f2,f12,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f76,f90,f77,f91,f99,f78,f101,f74,f121,f124,f27,f61,f395,f35,f391,f644,f4,f38,f72,f7,f25,f23,f29,f5,f30,f18,f6,f24,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3281,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f32,f31,f17,f11,f16,f13,f19,f14,f15,f26,f8,f20,f33,f21,f9,f10,f22,f28,f207]) ).

fof(f3482,plain,
    ( identity = multiply(sk_c1,sk_c7)
    | spl0_5
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f3481,f1,f2,f12,f3,f27,f61,f395,f35,f391,f644,f4,f1549,f1517,f1590,f1594,f7,f25,f23,f29,f5,f30,f18,f6,f24,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3281,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f32,f31,f17,f11,f16,f13,f19,f14,f15,f26,f8,f20,f33,f21,f9,f10,f22,f28,f207,f1185,f3461,f3473,f3474]) ).

fof(f3481,plain,
    ( identity = multiply(sk_c1,sk_c7)
    | sk_c7 = sk_c5
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3480,f1185]) ).

fof(f3480,plain,
    ( sk_c7 = sk_c5
    | sk_c8 = multiply(sk_c1,sk_c7)
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3479,f3442]) ).

fof(f3479,plain,
    ( sk_c6 = sk_c5
    | sk_c8 = multiply(sk_c1,sk_c7)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3478,f2361]) ).

fof(f3478,plain,
    ( sk_c6 = multiply(sk_c5,identity)
    | sk_c8 = multiply(sk_c1,sk_c7)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f20,f1185]) ).

fof(f3806,plain,
    ( spl0_1
    | spl0_5
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3805]) ).

fof(f3805,plain,
    ( $false
    | spl0_1
    | spl0_5
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f3474,f1,f2,f12,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f76,f90,f77,f91,f99,f78,f101,f74,f121,f124,f27,f61,f395,f35,f391,f644,f4,f38,f72,f7,f25,f23,f29,f5,f30,f18,f6,f24,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3281,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f32,f31,f17,f11,f16,f13,f19,f14,f15,f26,f8,f20,f33,f21,f9,f10,f22,f28,f207]) ).

fof(f3804,plain,
    ( spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3803]) ).

fof(f3803,plain,
    ( $false
    | spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f3688,f1,f2,f12,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f76,f90,f77,f91,f99,f78,f101,f74,f121,f124,f27,f61,f395,f35,f391,f644,f4,f38,f72,f7,f25,f23,f29,f5,f30,f18,f6,f24,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3281,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f32,f31,f17,f11,f16,f13,f19,f14,f15,f26,f8,f20,f33,f21,f9,f10,f22,f28,f207]) ).

fof(f3688,plain,
    ( sk_c7 = inverse(identity)
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(superposition,[],[f212,f3683]) ).

fof(f3683,plain,
    ( identity = sk_c2
    | spl0_5
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3677,f2360]) ).

fof(f3677,plain,
    ( sk_c2 = multiply(sk_c7,inverse(sk_c7))
    | spl0_5
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(superposition,[],[f2784,f3477]) ).

fof(f3477,plain,
    ( sk_c7 = multiply(sk_c2,sk_c7)
    | spl0_5
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f27,f61,f395,f35,f391,f644,f4,f733,f742,f741,f744,f743,f755,f734,f762,f754,f836,f837,f1549,f1517,f1590,f1594,f7,f25,f23,f29,f5,f30,f18,f6,f24,f1579,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3281,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f32,f31,f1833,f1829,f1815,f726,f17,f11,f16,f13,f19,f14,f15,f26,f8,f20,f33,f21,f9,f10,f22,f28,f207,f1185,f3442,f3461,f3473,f3474,f3476]) ).

fof(f3476,plain,
    ( sk_c7 = multiply(sk_c2,sk_c7)
    | identity = inverse(sk_c5)
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3475,f3442]) ).

fof(f3475,plain,
    ( identity = inverse(sk_c5)
    | sk_c7 = multiply(sk_c2,sk_c6)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f33,f1185]) ).

fof(f1815,plain,
    ( multiply(sk_c7,sk_c8) = sk_c6
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f33,f21,f14,f11,f9,f15,f27,f61,f392,f395,f404,f24,f6,f18,f30,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f391,f644,f4,f733,f742,f741,f744,f743,f755,f734,f762,f754,f836,f837,f10,f16,f22,f28,f13,f19,f726,f25,f7]) ).

fof(f1829,plain,
    ( multiply(sk_c7,sk_c8) = sk_c6
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f33,f21,f14,f9,f15,f27,f61,f392,f395,f404,f24,f6,f18,f30,f35,f32,f31,f20,f17,f8,f26,f391,f644,f4,f733,f742,f741,f744,f743,f755,f734,f762,f754,f836,f837,f7,f1815,f25,f726,f19,f13,f28,f22,f16,f10,f11,f23,f29,f5]) ).

fof(f1833,plain,
    ( multiply(sk_c7,sk_c8) = sk_c6
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f33,f21,f14,f9,f15,f27,f61,f392,f395,f404,f24,f35,f32,f31,f20,f8,f26,f391,f644,f4,f733,f742,f741,f744,f743,f755,f734,f762,f754,f836,f837,f7,f1815,f25,f726,f19,f13,f28,f22,f16,f10,f11,f23,f29,f5,f1829,f17,f30,f18,f6]) ).

fof(f837,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(inverse(inverse(inverse(sk_c7)))),multiply(sk_c8,X0))
    | ~ spl0_9 ),
    inference(superposition,[],[f3,f754]) ).

fof(f836,plain,
    ( sk_c8 = multiply(inverse(inverse(inverse(inverse(inverse(sk_c7))))),sk_c6)
    | ~ spl0_9 ),
    inference(superposition,[],[f61,f754]) ).

fof(f754,plain,
    ( sk_c6 = multiply(inverse(inverse(inverse(inverse(sk_c7)))),sk_c8)
    | ~ spl0_9 ),
    inference(superposition,[],[f61,f743]) ).

fof(f762,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(sk_c7),multiply(sk_c6,X0))
    | ~ spl0_9 ),
    inference(superposition,[],[f61,f734]) ).

fof(f734,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c8,X0))
    | ~ spl0_9 ),
    inference(superposition,[],[f3,f726]) ).

fof(f755,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(inverse(inverse(sk_c7))),multiply(sk_c6,X0))
    | ~ spl0_9 ),
    inference(superposition,[],[f3,f743]) ).

fof(f743,plain,
    ( sk_c8 = multiply(inverse(inverse(inverse(sk_c7))),sk_c6)
    | ~ spl0_9 ),
    inference(superposition,[],[f61,f741]) ).

fof(f744,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(inverse(sk_c7)),multiply(sk_c8,X0))
    | ~ spl0_9 ),
    inference(superposition,[],[f3,f741]) ).

fof(f741,plain,
    ( sk_c6 = multiply(inverse(inverse(sk_c7)),sk_c8)
    | ~ spl0_9 ),
    inference(superposition,[],[f61,f733]) ).

fof(f742,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(sk_c7),multiply(sk_c6,X0))
    | ~ spl0_9 ),
    inference(superposition,[],[f3,f733]) ).

fof(f733,plain,
    ( sk_c8 = multiply(inverse(sk_c7),sk_c6)
    | ~ spl0_9 ),
    inference(superposition,[],[f61,f726]) ).

fof(f3802,plain,
    ( spl0_1
    | spl0_5
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3801]) ).

fof(f3801,plain,
    ( $false
    | spl0_1
    | spl0_5
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f3800,f1,f2,f12,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f76,f90,f77,f91,f99,f78,f101,f74,f121,f124,f27,f61,f395,f35,f391,f644,f4,f38,f72,f7,f25,f23,f29,f5,f30,f18,f6,f24,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3281,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f32,f31,f17,f11,f16,f13,f19,f14,f15,f26,f8,f20,f33,f21,f9,f10,f22,f28,f207]) ).

fof(f3800,plain,
    ( identity != multiply(sk_c5,sk_c7)
    | ~ spl0_11
    | spl0_12 ),
    inference(forward_demodulation,[],[f1188,f1185]) ).

fof(f1188,plain,
    ( sk_c8 != multiply(sk_c5,sk_c7)
    | spl0_12 ),
    inference(avatar_component_clause,[],[f1187]) ).

fof(f1187,plain,
    ( spl0_12
  <=> sk_c8 = multiply(sk_c5,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f3799,plain,
    ( spl0_1
    | spl0_5
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3798]) ).

fof(f3798,plain,
    ( $false
    | spl0_1
    | spl0_5
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f3700,f1,f2,f12,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f76,f90,f77,f91,f99,f78,f101,f74,f121,f124,f27,f61,f395,f35,f391,f644,f4,f38,f72,f7,f25,f23,f29,f5,f30,f18,f6,f24,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3281,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f32,f31,f17,f11,f16,f13,f19,f14,f15,f26,f8,f20,f33,f21,f9,f10,f22,f28,f207]) ).

fof(f3700,plain,
    ( identity = inverse(identity)
    | spl0_5
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3684,f3683]) ).

fof(f3684,plain,
    ( identity = inverse(sk_c2)
    | spl0_5
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3678,f2360]) ).

fof(f3678,plain,
    ( inverse(sk_c2) = multiply(sk_c7,inverse(sk_c7))
    | spl0_5
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(superposition,[],[f2698,f3477]) ).

fof(f3797,plain,
    ( spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3796]) ).

fof(f3796,plain,
    ( $false
    | spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f3706,f1,f2,f12,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f76,f90,f77,f91,f99,f78,f101,f74,f121,f124,f27,f61,f395,f35,f391,f644,f4,f38,f72,f7,f25,f23,f29,f5,f30,f18,f6,f24,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3281,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f32,f31,f17,f11,f16,f13,f19,f14,f15,f26,f8,f20,f33,f21,f9,f10,f22,f28,f207]) ).

fof(f3706,plain,
    ( identity = multiply(sk_c7,identity)
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3308,f3683]) ).

fof(f3308,plain,
    ( identity = multiply(sk_c7,sk_c2)
    | ~ spl0_6 ),
    inference(superposition,[],[f2,f212]) ).

fof(f3795,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_5 ),
    inference(avatar_contradiction_clause,[],[f3794]) ).

fof(f3794,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_5 ),
    inference(global_subsumption,[],[f3793,f1,f2,f12,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f76,f90,f77,f91,f99,f78,f101,f74,f121,f124,f27,f61,f395,f35,f391,f644,f4,f38,f72,f7,f25,f23,f29,f5,f30,f18,f6,f24,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3281,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f32,f31,f17,f11,f16,f13,f19,f14,f15,f26,f8,f20,f33,f21,f9,f10,f22,f28,f207]) ).

fof(f3793,plain,
    ( sk_c3 = multiply(sk_c3,inverse(identity))
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f3711,f3645]) ).

fof(f3645,plain,
    ( sk_c3 = inverse(sk_c4)
    | ~ spl0_2 ),
    inference(superposition,[],[f2383,f43]) ).

fof(f3711,plain,
    ( inverse(sk_c4) = multiply(sk_c3,inverse(identity))
    | ~ spl0_2 ),
    inference(superposition,[],[f2698,f3638]) ).

fof(f3638,plain,
    ( identity = multiply(sk_c4,sk_c3)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f43]) ).

fof(f3792,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_5 ),
    inference(avatar_contradiction_clause,[],[f3791]) ).

fof(f3791,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_5 ),
    inference(global_subsumption,[],[f3712,f1,f2,f12,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f76,f90,f77,f91,f99,f78,f101,f74,f121,f124,f27,f61,f395,f35,f391,f644,f4,f38,f72,f7,f25,f23,f29,f5,f30,f18,f6,f24,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3281,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f32,f31,f17,f11,f16,f13,f19,f14,f15,f26,f8,f20,f33,f21,f9,f10,f22,f28,f207]) ).

fof(f3712,plain,
    ( identity = multiply(sk_c4,multiply(sk_c3,inverse(identity)))
    | ~ spl0_2 ),
    inference(superposition,[],[f2477,f3638]) ).

fof(f3790,plain,
    ( spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3789]) ).

fof(f3789,plain,
    ( $false
    | spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f3686,f1,f2,f12,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f76,f90,f77,f91,f99,f78,f101,f74,f121,f124,f27,f61,f395,f35,f391,f644,f4,f38,f72,f7,f25,f23,f29,f5,f30,f18,f6,f24,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3281,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f32,f31,f17,f11,f16,f13,f19,f14,f15,f26,f8,f20,f33,f21,f9,f10,f22,f28,f207]) ).

fof(f3686,plain,
    ( sk_c7 = multiply(sk_c7,sk_c7)
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3680,f212]) ).

fof(f3680,plain,
    ( sk_c7 = multiply(inverse(sk_c2),sk_c7)
    | spl0_5
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(superposition,[],[f61,f3477]) ).

fof(f3788,plain,
    ( spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3787]) ).

fof(f3787,plain,
    ( $false
    | spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f3786,f1,f2,f12,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f76,f90,f77,f91,f99,f78,f101,f74,f121,f124,f27,f61,f395,f35,f391,f644,f4,f38,f72,f7,f25,f23,f29,f5,f30,f18,f6,f24,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3281,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f32,f31,f17,f11,f16,f13,f19,f14,f15,f26,f8,f20,f33,f21,f9,f10,f22,f28,f207]) ).

fof(f3786,plain,
    ( identity = multiply(identity,sk_c7)
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3313,f3683]) ).

fof(f3313,plain,
    ( identity = multiply(sk_c2,sk_c7)
    | ~ spl0_6 ),
    inference(superposition,[],[f2360,f212]) ).

fof(f3785,plain,
    ( spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3784]) ).

fof(f3784,plain,
    ( $false
    | spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f3727,f1,f2,f12,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f76,f90,f77,f91,f99,f78,f101,f74,f121,f124,f27,f61,f395,f35,f391,f644,f4,f38,f72,f7,f25,f23,f29,f5,f30,f18,f6,f24,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3281,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f32,f31,f17,f11,f16,f13,f19,f14,f15,f26,f8,f20,f33,f21,f9,f10,f22,f28,f207]) ).

fof(f3727,plain,
    ( identity = multiply(sk_c7,identity)
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3319,f3683]) ).

fof(f3319,plain,
    ( identity = multiply(sk_c7,sk_c2)
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f3312,f2383]) ).

fof(f3312,plain,
    ( identity = multiply(inverse(inverse(sk_c7)),sk_c2)
    | ~ spl0_6 ),
    inference(superposition,[],[f2318,f212]) ).

fof(f3783,plain,
    ( spl0_1
    | spl0_5
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3782]) ).

fof(f3782,plain,
    ( $false
    | spl0_1
    | spl0_5
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f3529,f1,f2,f12,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f76,f90,f77,f91,f99,f78,f101,f74,f121,f124,f27,f61,f395,f35,f391,f644,f4,f38,f72,f7,f25,f23,f29,f5,f30,f18,f6,f24,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3281,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f32,f31,f17,f11,f16,f13,f19,f14,f15,f26,f8,f20,f33,f21,f9,f10,f22,f28,f207]) ).

fof(f3529,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(inverse(X5),sk_c7)
        | identity != multiply(X3,sk_c7)
        | sk_c7 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X7,identity)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | sk_c7 != inverse(X4) )
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f3528,f2361]) ).

fof(f3528,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != multiply(sk_c7,identity)
        | identity != multiply(inverse(X5),sk_c7)
        | identity != multiply(X3,sk_c7)
        | sk_c7 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X7,identity)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | sk_c7 != inverse(X4) )
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3527,f1185]) ).

fof(f3527,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != multiply(sk_c7,sk_c8)
        | identity != multiply(inverse(X5),sk_c7)
        | identity != multiply(X3,sk_c7)
        | sk_c7 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X7,identity)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | sk_c7 != inverse(X4) )
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3526,f3442]) ).

fof(f3526,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(inverse(X5),sk_c7)
        | identity != multiply(X3,sk_c7)
        | sk_c7 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X7,identity)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | sk_c7 != inverse(X4)
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3525,f1185]) ).

fof(f3525,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(X3,sk_c7)
        | sk_c7 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X7,identity)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | sk_c7 != inverse(X4)
        | sk_c8 != multiply(inverse(X5),sk_c7)
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3524,f1185]) ).

fof(f3524,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X7,identity)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | sk_c7 != inverse(X4)
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(inverse(X5),sk_c7)
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3523,f3442]) ).

fof(f3523,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != multiply(X7,identity)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | sk_c7 != inverse(X4)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(inverse(X5),sk_c7)
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f3522,f1]) ).

fof(f3522,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != multiply(identity,sk_c7)
        | sk_c7 != multiply(X7,identity)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | sk_c7 != inverse(X4)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(inverse(X5),sk_c7)
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3521,f1185]) ).

fof(f3521,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != multiply(sk_c8,sk_c7)
        | sk_c7 != multiply(X7,identity)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | sk_c7 != inverse(X4)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(inverse(X5),sk_c7)
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3520,f3442]) ).

fof(f3520,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != multiply(X7,identity)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | sk_c7 != inverse(X4)
        | sk_c7 != multiply(sk_c8,sk_c6)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(inverse(X5),sk_c7)
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3519,f3442]) ).

fof(f3519,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c6 != multiply(X7,identity)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | sk_c7 != inverse(X4)
        | sk_c7 != multiply(sk_c8,sk_c6)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(inverse(X5),sk_c7)
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3518,f1185]) ).

fof(f3518,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X3)
        | identity != inverse(X7)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(X7,sk_c8)
        | sk_c7 != multiply(sk_c8,sk_c6)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(inverse(X5),sk_c7)
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3517,f1185]) ).

fof(f3517,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X7)
        | sk_c7 != inverse(X4)
        | sk_c8 != inverse(X3)
        | sk_c6 != multiply(X7,sk_c8)
        | sk_c7 != multiply(sk_c8,sk_c6)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(inverse(X5),sk_c7)
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3516,f1185]) ).

fof(f3516,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != inverse(X4)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X3)
        | sk_c6 != multiply(X7,sk_c8)
        | sk_c7 != multiply(sk_c8,sk_c6)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(inverse(X5),sk_c7)
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f3281,f1185]) ).

fof(f3781,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_5 ),
    inference(avatar_contradiction_clause,[],[f3780]) ).

fof(f3780,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_5 ),
    inference(global_subsumption,[],[f3779,f1,f2,f12,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f76,f90,f77,f91,f99,f78,f101,f74,f121,f124,f27,f61,f395,f35,f391,f644,f4,f38,f72,f7,f25,f23,f29,f5,f30,f18,f6,f24,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3281,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f32,f31,f17,f11,f16,f13,f19,f14,f15,f26,f8,f20,f33,f21,f9,f10,f22,f28,f207]) ).

fof(f3779,plain,
    ( sk_c4 = multiply(sk_c4,inverse(identity))
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f3739,f43]) ).

fof(f3739,plain,
    ( inverse(sk_c3) = multiply(sk_c4,inverse(identity))
    | ~ spl0_2 ),
    inference(superposition,[],[f2698,f3643]) ).

fof(f3778,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_5 ),
    inference(avatar_contradiction_clause,[],[f3777]) ).

fof(f3777,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_5 ),
    inference(global_subsumption,[],[f3740,f1,f2,f12,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f76,f90,f77,f91,f99,f78,f101,f74,f121,f124,f27,f61,f395,f35,f391,f644,f4,f38,f72,f7,f25,f23,f29,f5,f30,f18,f6,f24,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3281,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f32,f31,f17,f11,f16,f13,f19,f14,f15,f26,f8,f20,f33,f21,f9,f10,f22,f28,f207]) ).

fof(f3740,plain,
    ( identity = multiply(sk_c3,multiply(sk_c4,inverse(identity)))
    | ~ spl0_2 ),
    inference(superposition,[],[f2477,f3643]) ).

fof(f3776,plain,
    ( spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3775]) ).

fof(f3775,plain,
    ( $false
    | spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f3753,f1,f2,f12,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f76,f90,f77,f91,f99,f78,f101,f74,f121,f124,f27,f61,f395,f35,f391,f644,f4,f38,f72,f7,f25,f23,f29,f5,f30,f18,f6,f24,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3281,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f32,f31,f17,f11,f16,f13,f19,f14,f15,f26,f8,f20,f33,f21,f9,f10,f22,f28,f207]) ).

fof(f3753,plain,
    ( identity = sk_c7
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3752,f1185]) ).

fof(f3752,plain,
    ( sk_c7 = sk_c8
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3751,f3477]) ).

fof(f3751,plain,
    ( sk_c8 = multiply(sk_c2,sk_c7)
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f732,f3442]) ).

fof(f732,plain,
    ( sk_c8 = multiply(sk_c2,sk_c6)
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(superposition,[],[f701,f726]) ).

fof(f701,plain,
    ( ! [X0] : multiply(sk_c2,multiply(sk_c7,X0)) = X0
    | ~ spl0_6 ),
    inference(superposition,[],[f627,f61]) ).

fof(f627,plain,
    ( ! [X0] : multiply(inverse(sk_c7),X0) = multiply(sk_c2,X0)
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f626,f1]) ).

fof(f626,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(sk_c7),multiply(identity,X0))
    | ~ spl0_6 ),
    inference(superposition,[],[f3,f612]) ).

fof(f612,plain,
    ( sk_c2 = multiply(inverse(sk_c7),identity)
    | ~ spl0_6 ),
    inference(superposition,[],[f61,f608]) ).

fof(f608,plain,
    ( identity = multiply(sk_c7,sk_c2)
    | ~ spl0_6 ),
    inference(superposition,[],[f2,f212]) ).

fof(f3774,plain,
    ( spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3773]) ).

fof(f3773,plain,
    ( $false
    | spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f3772,f1,f2,f12,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f76,f90,f77,f91,f99,f78,f101,f74,f121,f124,f27,f61,f395,f35,f391,f644,f4,f38,f72,f7,f25,f23,f29,f5,f30,f18,f6,f24,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3281,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f32,f31,f17,f11,f16,f13,f19,f14,f15,f26,f8,f20,f33,f21,f9,f10,f22,f28,f207]) ).

fof(f3772,plain,
    ( identity = multiply(identity,sk_c7)
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3448,f3683]) ).

fof(f3448,plain,
    ( identity = multiply(sk_c2,sk_c7)
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1581,f3442]) ).

fof(f1581,plain,
    ( identity = multiply(sk_c2,sk_c6)
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f732,f1185]) ).

fof(f3771,plain,
    ( spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3770]) ).

fof(f3770,plain,
    ( $false
    | spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f3769,f1,f2,f12,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f76,f90,f77,f91,f99,f78,f101,f74,f121,f124,f27,f61,f395,f35,f391,f644,f4,f38,f72,f7,f25,f23,f29,f5,f30,f18,f6,f24,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3281,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f32,f31,f17,f11,f16,f13,f19,f14,f15,f26,f8,f20,f33,f21,f9,f10,f22,f28,f207]) ).

fof(f3769,plain,
    ( identity = multiply(identity,sk_c7)
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3337,f3683]) ).

fof(f3337,plain,
    ( identity = multiply(sk_c2,sk_c7)
    | ~ spl0_6 ),
    inference(superposition,[],[f2,f3315]) ).

fof(f3768,plain,
    ( spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3767]) ).

fof(f3767,plain,
    ( $false
    | spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f3759,f1,f2,f12,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f76,f90,f77,f91,f99,f78,f101,f74,f121,f124,f27,f61,f395,f35,f391,f644,f4,f38,f72,f7,f25,f23,f29,f5,f30,f18,f6,f24,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3281,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f32,f31,f17,f11,f16,f13,f19,f14,f15,f26,f8,f20,f33,f21,f9,f10,f22,f28,f207]) ).

fof(f3759,plain,
    ( identity = multiply(sk_c7,identity)
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3342,f3683]) ).

fof(f3342,plain,
    ( identity = multiply(sk_c7,sk_c2)
    | ~ spl0_6 ),
    inference(superposition,[],[f2360,f3315]) ).

fof(f3766,plain,
    ( spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3765]) ).

fof(f3765,plain,
    ( $false
    | spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f3764,f1,f2,f12,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f76,f90,f77,f91,f99,f78,f101,f74,f121,f124,f27,f61,f395,f35,f391,f644,f4,f38,f72,f7,f25,f23,f29,f5,f30,f18,f6,f24,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3281,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f32,f31,f17,f11,f16,f13,f19,f14,f15,f26,f8,f20,f33,f21,f9,f10,f22,f28,f207]) ).

fof(f3764,plain,
    ( identity = multiply(identity,sk_c7)
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3349,f3683]) ).

fof(f3349,plain,
    ( identity = multiply(sk_c2,sk_c7)
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f3341,f2383]) ).

fof(f3341,plain,
    ( identity = multiply(inverse(inverse(sk_c2)),sk_c7)
    | ~ spl0_6 ),
    inference(superposition,[],[f2318,f3315]) ).

fof(f3763,plain,
    ( spl0_13
    | spl0_7
    | spl0_7
    | spl0_7
    | ~ spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f3736,f1183,f724,f210,f206,f37,f563,f563,f563,f3145]) ).

fof(f3145,plain,
    ( spl0_13
  <=> ! [X5] : identity != multiply(inverse(X5),identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f563,plain,
    ( spl0_7
  <=> ! [X7] :
        ( identity != multiply(X7,identity)
        | identity != inverse(X7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f3736,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X4)
        | identity != multiply(X7,identity)
        | identity != multiply(X4,identity)
        | identity != multiply(X3,identity)
        | identity != multiply(inverse(X5),identity)
        | identity != inverse(X3)
        | identity != inverse(X7) )
    | ~ spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3735,f3689]) ).

fof(f3689,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3688,f3557]) ).

fof(f3557,plain,
    ( identity = inverse(identity)
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(superposition,[],[f3462,f3550]) ).

fof(f3550,plain,
    ( identity = sk_c1
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3541,f2]) ).

fof(f3541,plain,
    ( sk_c1 = multiply(inverse(identity),identity)
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(superposition,[],[f392,f3462]) ).

fof(f3462,plain,
    ( identity = inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f39,f1185]) ).

fof(f3735,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(X7,identity)
        | identity != multiply(X4,identity)
        | identity != multiply(X3,identity)
        | identity != multiply(inverse(X5),identity)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | sk_c7 != inverse(X4) )
    | ~ spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3734,f3689]) ).

fof(f3734,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(X4,identity)
        | identity != multiply(X3,identity)
        | identity != multiply(inverse(X5),identity)
        | sk_c7 != multiply(X7,identity)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | sk_c7 != inverse(X4) )
    | ~ spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3733,f3689]) ).

fof(f3733,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(X3,identity)
        | identity != multiply(inverse(X5),identity)
        | sk_c7 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X7,identity)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | sk_c7 != inverse(X4) )
    | ~ spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3732,f3689]) ).

fof(f3732,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(inverse(X5),identity)
        | identity != multiply(X3,sk_c7)
        | sk_c7 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X7,identity)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | sk_c7 != inverse(X4) )
    | ~ spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3529,f3689]) ).

fof(f3697,plain,
    ( ~ spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3696]) ).

fof(f3696,plain,
    ( $false
    | ~ spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f3695,f3461]) ).

fof(f3695,plain,
    ( identity = inverse(sk_c5)
    | ~ spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3672,f3689]) ).

fof(f3672,plain,
    ( sk_c7 = inverse(sk_c5)
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3671,f2361]) ).

fof(f3671,plain,
    ( inverse(sk_c5) = multiply(sk_c7,identity)
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3665,f3557]) ).

fof(f3665,plain,
    ( inverse(sk_c5) = multiply(sk_c7,inverse(identity))
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(superposition,[],[f2698,f3458]) ).

fof(f3458,plain,
    ( identity = multiply(sk_c5,sk_c7)
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1189,f1185]) ).

fof(f1189,plain,
    ( sk_c8 = multiply(sk_c5,sk_c7)
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f1187]) ).

fof(f3621,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3620]) ).

fof(f3620,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f3619,f3461]) ).

fof(f3619,plain,
    ( identity = inverse(sk_c5)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3618,f3557]) ).

fof(f3618,plain,
    ( inverse(sk_c5) = inverse(identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3611,f1]) ).

fof(f3611,plain,
    ( inverse(sk_c5) = multiply(identity,inverse(identity))
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(superposition,[],[f2698,f3597]) ).

fof(f3597,plain,
    ( identity = multiply(sk_c5,identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3458,f3591]) ).

fof(f3591,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3590,f3557]) ).

fof(f3590,plain,
    ( sk_c7 = inverse(identity)
    | spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(superposition,[],[f212,f3585]) ).

fof(f3585,plain,
    ( identity = sk_c2
    | spl0_2
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3579,f2360]) ).

fof(f3579,plain,
    ( sk_c2 = multiply(sk_c7,inverse(sk_c7))
    | spl0_2
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(superposition,[],[f2784,f3452]) ).

fof(f3452,plain,
    ( sk_c7 = multiply(sk_c2,sk_c7)
    | spl0_2
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1831,f3442]) ).

fof(f1831,plain,
    ( sk_c7 = multiply(sk_c2,sk_c6)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f33,f21,f14,f9,f15,f27,f61,f392,f395,f404,f42,f24,f6,f18,f35,f32,f31,f20,f8,f26,f391,f644,f4,f7,f25,f19,f13,f28,f22,f16,f10,f11,f23,f29,f1828,f5,f17,f30]) ).

fof(f1828,plain,
    ( sk_c7 = multiply(sk_c2,sk_c6)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f33,f21,f14,f9,f15,f27,f61,f392,f395,f404,f42,f24,f6,f18,f30,f35,f32,f31,f20,f17,f8,f5,f26,f391,f644,f4,f7,f25,f19,f13,f28,f22,f16,f10,f11,f23,f29]) ).

fof(f42,plain,
    ( sk_c4 != inverse(sk_c3)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f41]) ).

fof(f3447,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3446]) ).

fof(f3446,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f200,f202,f27,f61,f395,f35,f418,f400,f608,f614,f612,f607,f631,f625,f391,f644,f627,f702,f703,f705,f706,f699,f711,f712,f700,f708,f701,f4,f737,f733,f742,f741,f744,f640,f753,f743,f755,f734,f762,f642,f815,f818,f816,f823,f821,f824,f826,f751,f833,f835,f754,f836,f837,f761,f841,f1111,f1114,f1131,f1132,f1134,f1518,f1549,f1517,f1590,f1594,f7,f25,f23,f29,f5,f30,f18,f6,f24,f1581,f1579,f1575,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3281,f3282,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f32,f3286,f31,f3287,f732,f1833,f1829,f1815,f726,f1834,f1827,f1817,f39,f17,f3289,f11,f3290,f16,f3291,f13,f3292,f19,f3293,f14,f3294,f15,f3295,f26,f3296,f8,f3297,f20,f3298,f33,f3299,f21,f3300,f9,f3301,f10,f3302,f22,f3303,f28,f3304,f1112,f1130,f1129,f1109,f1107,f1117,f1116,f906,f729,f1108,f212,f3308,f3309,f3310,f3311,f3319,f3313,f3314,f3316,f3317,f3318,f3320,f3321,f3322,f3323,f3324,f3306,f3325,f3326,f3327,f3328,f3336,f3330,f3331,f3333,f3334,f3335,f3315,f3337,f3338,f3349,f3342,f3343,f3345,f3346,f3347,f3332,f3351,f3352,f3353,f3364,f3357,f3358,f3360,f3361,f3362,f3350,f3369,f3371,f3373,f3375,f3376,f3377,f3378,f3380,f3381,f3382,f3383,f3384,f3385,f3386,f3387,f3388,f3366,f3396,f3398,f3400,f3392,f3402,f3394,f3367,f3368,f3410,f3412,f3413,f3414,f3408,f3411,f3416,f3417,f3436,f3437,f3441,f1185,f3443,f3444,f3442,f3445]) ).

fof(f3445,plain,
    ( sk_c7 != multiply(sk_c7,sk_c7)
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11 ),
    inference(superposition,[],[f3367,f3442]) ).

fof(f3444,plain,
    ( identity = sk_c7
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11 ),
    inference(superposition,[],[f1108,f1185]) ).

fof(f3443,plain,
    ( identity = sk_c7
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11 ),
    inference(superposition,[],[f1185,f1108]) ).

fof(f3441,plain,
    ( identity = multiply(identity,sk_c6)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3440,f3411]) ).

fof(f3440,plain,
    ( identity = multiply(sk_c1,sk_c6)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1581,f3350]) ).

fof(f3437,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(forward_demodulation,[],[f3416,f3417]) ).

fof(f3436,plain,
    ( sk_c7 = multiply(identity,sk_c6)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(forward_demodulation,[],[f3369,f3411]) ).

fof(f3417,plain,
    ( identity = inverse(identity)
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(forward_demodulation,[],[f3412,f3411]) ).

fof(f3416,plain,
    ( sk_c7 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(superposition,[],[f3306,f3411]) ).

fof(f3411,plain,
    ( identity = sk_c1
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(forward_demodulation,[],[f3404,f2360]) ).

fof(f3404,plain,
    ( sk_c1 = multiply(sk_c7,inverse(sk_c7))
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(superposition,[],[f2784,f3368]) ).

fof(f3408,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c1,multiply(sk_c7,X0))
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(superposition,[],[f3,f3368]) ).

fof(f3414,plain,
    ( sk_c7 = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(forward_demodulation,[],[f3407,f3306]) ).

fof(f3407,plain,
    ( sk_c7 = multiply(inverse(sk_c1),sk_c7)
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(superposition,[],[f61,f3368]) ).

fof(f3413,plain,
    ( identity = multiply(sk_c1,identity)
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(forward_demodulation,[],[f3406,f2360]) ).

fof(f3406,plain,
    ( identity = multiply(sk_c1,multiply(sk_c7,inverse(sk_c7)))
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(superposition,[],[f2477,f3368]) ).

fof(f3412,plain,
    ( identity = inverse(sk_c1)
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(forward_demodulation,[],[f3405,f2360]) ).

fof(f3405,plain,
    ( inverse(sk_c1) = multiply(sk_c7,inverse(sk_c7))
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(superposition,[],[f2698,f3368]) ).

fof(f3410,plain,
    ( sk_c1 = multiply(sk_c1,sk_c1)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(forward_demodulation,[],[f3409,f3350]) ).

fof(f3409,plain,
    ( sk_c2 = multiply(sk_c2,sk_c1)
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(forward_demodulation,[],[f3403,f3315]) ).

fof(f3403,plain,
    ( inverse(sk_c7) = multiply(inverse(sk_c7),sk_c1)
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(superposition,[],[f2789,f3368]) ).

fof(f3368,plain,
    ( sk_c7 = multiply(sk_c1,sk_c7)
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(forward_demodulation,[],[f906,f1108]) ).

fof(f3367,plain,
    ( sk_c7 != multiply(sk_c7,sk_c6)
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(forward_demodulation,[],[f729,f1108]) ).

fof(f3394,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c7,X0))
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(superposition,[],[f3,f3366]) ).

fof(f3402,plain,
    ( sk_c7 = multiply(sk_c1,sk_c6)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(forward_demodulation,[],[f3401,f3350]) ).

fof(f3401,plain,
    ( sk_c7 = multiply(sk_c2,sk_c6)
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(forward_demodulation,[],[f3393,f3315]) ).

fof(f3393,plain,
    ( sk_c7 = multiply(inverse(sk_c7),sk_c6)
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(superposition,[],[f61,f3366]) ).

fof(f3392,plain,
    ( identity = multiply(sk_c7,multiply(sk_c7,inverse(sk_c6)))
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(superposition,[],[f2477,f3366]) ).

fof(f3400,plain,
    ( sk_c1 = multiply(sk_c7,inverse(sk_c6))
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(forward_demodulation,[],[f3399,f3350]) ).

fof(f3399,plain,
    ( sk_c2 = multiply(sk_c7,inverse(sk_c6))
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(forward_demodulation,[],[f3391,f3315]) ).

fof(f3391,plain,
    ( inverse(sk_c7) = multiply(sk_c7,inverse(sk_c6))
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(superposition,[],[f2698,f3366]) ).

fof(f3398,plain,
    ( sk_c7 = multiply(sk_c6,sk_c1)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(forward_demodulation,[],[f3397,f3350]) ).

fof(f3397,plain,
    ( sk_c7 = multiply(sk_c6,sk_c2)
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(forward_demodulation,[],[f3390,f3315]) ).

fof(f3390,plain,
    ( sk_c7 = multiply(sk_c6,inverse(sk_c7))
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(superposition,[],[f2784,f3366]) ).

fof(f3396,plain,
    ( sk_c1 = multiply(inverse(sk_c6),sk_c7)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(forward_demodulation,[],[f3395,f3350]) ).

fof(f3395,plain,
    ( sk_c2 = multiply(inverse(sk_c6),sk_c7)
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(forward_demodulation,[],[f3389,f3315]) ).

fof(f3389,plain,
    ( inverse(sk_c7) = multiply(inverse(sk_c6),sk_c7)
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(superposition,[],[f2789,f3366]) ).

fof(f3366,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(forward_demodulation,[],[f726,f1108]) ).

fof(f3388,plain,
    ( sk_c7 = multiply(sk_c1,sk_c6)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(forward_demodulation,[],[f3304,f3350]) ).

fof(f3387,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(forward_demodulation,[],[f3301,f1108]) ).

fof(f3386,plain,
    ( sk_c7 = multiply(sk_c1,sk_c7)
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(forward_demodulation,[],[f3300,f1108]) ).

fof(f3385,plain,
    ( sk_c7 = multiply(sk_c1,sk_c6)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(forward_demodulation,[],[f3299,f3350]) ).

fof(f3384,plain,
    ( sk_c7 = multiply(sk_c1,sk_c7)
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(forward_demodulation,[],[f3298,f1108]) ).

fof(f3383,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(forward_demodulation,[],[f3297,f1108]) ).

fof(f3382,plain,
    ( sk_c7 = multiply(sk_c1,sk_c7)
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(forward_demodulation,[],[f3293,f1108]) ).

fof(f3381,plain,
    ( sk_c7 = multiply(sk_c1,sk_c7)
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(forward_demodulation,[],[f3291,f1108]) ).

fof(f3380,plain,
    ( sk_c7 = multiply(sk_c1,sk_c7)
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(forward_demodulation,[],[f3289,f1108]) ).

fof(f3378,plain,
    ( sk_c7 = multiply(sk_c1,sk_c6)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(forward_demodulation,[],[f3287,f3350]) ).

fof(f3377,plain,
    ( sk_c7 = multiply(sk_c1,sk_c6)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(forward_demodulation,[],[f3286,f3350]) ).

fof(f3376,plain,
    ( sk_c7 != multiply(sk_c7,sk_c6)
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(forward_demodulation,[],[f3282,f1108]) ).

fof(f3375,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(forward_demodulation,[],[f1833,f1108]) ).

fof(f3373,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(forward_demodulation,[],[f1829,f1108]) ).

fof(f3371,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(forward_demodulation,[],[f1815,f1108]) ).

fof(f3369,plain,
    ( sk_c7 = multiply(sk_c1,sk_c6)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(forward_demodulation,[],[f1107,f3350]) ).

fof(f3350,plain,
    ( sk_c1 = sk_c2
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(superposition,[],[f3332,f3315]) ).

fof(f3362,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c1),sk_c7) = X0
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(superposition,[],[f2854,f3332]) ).

fof(f3361,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c7),sk_c1) = X0
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(superposition,[],[f2784,f3332]) ).

fof(f3360,plain,
    ( ! [X0] : sk_c7 = multiply(X0,inverse(multiply(sk_c1,X0)))
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(superposition,[],[f2702,f3332]) ).

fof(f3358,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c1,X0)) = X0
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(superposition,[],[f2365,f3332]) ).

fof(f3357,plain,
    ( identity = multiply(sk_c7,sk_c1)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(superposition,[],[f2360,f3332]) ).

fof(f3364,plain,
    ( identity = multiply(sk_c1,sk_c7)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(forward_demodulation,[],[f3356,f2383]) ).

fof(f3356,plain,
    ( identity = multiply(inverse(inverse(sk_c1)),sk_c7)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(superposition,[],[f2318,f3332]) ).

fof(f3353,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c7,X0)) = X0
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(superposition,[],[f61,f3332]) ).

fof(f3352,plain,
    ( identity = multiply(sk_c1,sk_c7)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(superposition,[],[f2,f3332]) ).

fof(f3351,plain,
    ( sk_c1 = sk_c2
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(superposition,[],[f3315,f3332]) ).

fof(f3332,plain,
    ( sk_c1 = inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(superposition,[],[f2383,f3306]) ).

fof(f3347,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c2),sk_c7) = X0
    | ~ spl0_6 ),
    inference(superposition,[],[f2854,f3315]) ).

fof(f3346,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c7),sk_c2) = X0
    | ~ spl0_6 ),
    inference(superposition,[],[f2784,f3315]) ).

fof(f3345,plain,
    ( ! [X0] : sk_c7 = multiply(X0,inverse(multiply(sk_c2,X0)))
    | ~ spl0_6 ),
    inference(superposition,[],[f2702,f3315]) ).

fof(f3343,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c2,X0)) = X0
    | ~ spl0_6 ),
    inference(superposition,[],[f2365,f3315]) ).

fof(f3338,plain,
    ( ! [X0] : multiply(sk_c2,multiply(sk_c7,X0)) = X0
    | ~ spl0_6 ),
    inference(superposition,[],[f61,f3315]) ).

fof(f3335,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c7),sk_c1) = X0
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(superposition,[],[f2854,f3306]) ).

fof(f3334,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c1),sk_c7) = X0
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(superposition,[],[f2784,f3306]) ).

fof(f3333,plain,
    ( ! [X0] : sk_c1 = multiply(X0,inverse(multiply(sk_c7,X0)))
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(superposition,[],[f2702,f3306]) ).

fof(f3331,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c7,X0)) = X0
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(superposition,[],[f2365,f3306]) ).

fof(f3330,plain,
    ( identity = multiply(sk_c1,sk_c7)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(superposition,[],[f2360,f3306]) ).

fof(f3336,plain,
    ( identity = multiply(sk_c7,sk_c1)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(forward_demodulation,[],[f3329,f2383]) ).

fof(f3329,plain,
    ( identity = multiply(inverse(inverse(sk_c7)),sk_c1)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(superposition,[],[f2318,f3306]) ).

fof(f3328,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c7),X0)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(superposition,[],[f404,f3306]) ).

fof(f3327,plain,
    ( sk_c1 = multiply(inverse(sk_c7),identity)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(superposition,[],[f392,f3306]) ).

fof(f3326,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c1,X0)) = X0
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(superposition,[],[f61,f3306]) ).

fof(f3325,plain,
    ( identity = multiply(sk_c7,sk_c1)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(superposition,[],[f2,f3306]) ).

fof(f3306,plain,
    ( sk_c7 = inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(forward_demodulation,[],[f39,f1108]) ).

fof(f3324,plain,
    ( sk_c7 = inverse(sk_c1)
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(forward_demodulation,[],[f3302,f1108]) ).

fof(f3323,plain,
    ( sk_c7 = inverse(sk_c1)
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(forward_demodulation,[],[f3295,f1108]) ).

fof(f3322,plain,
    ( sk_c7 = inverse(sk_c1)
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(forward_demodulation,[],[f3294,f1108]) ).

fof(f3321,plain,
    ( sk_c7 = inverse(sk_c1)
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(forward_demodulation,[],[f3292,f1108]) ).

fof(f3320,plain,
    ( sk_c7 = inverse(sk_c1)
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(forward_demodulation,[],[f3290,f1108]) ).

fof(f3318,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c7),sk_c2) = X0
    | ~ spl0_6 ),
    inference(superposition,[],[f2854,f212]) ).

fof(f3317,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c2),sk_c7) = X0
    | ~ spl0_6 ),
    inference(superposition,[],[f2784,f212]) ).

fof(f3316,plain,
    ( ! [X0] : sk_c2 = multiply(X0,inverse(multiply(sk_c7,X0)))
    | ~ spl0_6 ),
    inference(superposition,[],[f2702,f212]) ).

fof(f3314,plain,
    ( ! [X0] : multiply(sk_c2,multiply(sk_c7,X0)) = X0
    | ~ spl0_6 ),
    inference(superposition,[],[f2365,f212]) ).

fof(f3311,plain,
    ( ! [X0] : multiply(inverse(sk_c7),X0) = multiply(sk_c2,X0)
    | ~ spl0_6 ),
    inference(superposition,[],[f404,f212]) ).

fof(f3310,plain,
    ( sk_c2 = multiply(inverse(sk_c7),identity)
    | ~ spl0_6 ),
    inference(superposition,[],[f392,f212]) ).

fof(f3309,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c2,X0)) = X0
    | ~ spl0_6 ),
    inference(superposition,[],[f61,f212]) ).

fof(f1108,plain,
    ( sk_c7 = sk_c8
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(superposition,[],[f1107,f732]) ).

fof(f729,plain,
    ( sk_c7 != multiply(sk_c8,sk_c6)
    | spl0_10 ),
    inference(avatar_component_clause,[],[f728]) ).

fof(f906,plain,
    ( sk_c8 = multiply(sk_c1,sk_c7)
    | spl0_10 ),
    inference(subsumption_resolution,[],[f16,f729]) ).

fof(f1116,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | ~ spl0_6
    | spl0_10 ),
    inference(forward_demodulation,[],[f1113,f212]) ).

fof(f1113,plain,
    ( sk_c6 = multiply(inverse(sk_c2),sk_c7)
    | spl0_10 ),
    inference(superposition,[],[f61,f1107]) ).

fof(f1117,plain,
    ( identity = multiply(sk_c7,sk_c1)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(superposition,[],[f200,f1108]) ).

fof(f1107,plain,
    ( sk_c7 = multiply(sk_c2,sk_c6)
    | spl0_10 ),
    inference(subsumption_resolution,[],[f28,f729]) ).

fof(f1109,plain,
    ( sk_c7 = sk_c8
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(superposition,[],[f732,f1107]) ).

fof(f1129,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(superposition,[],[f726,f1108]) ).

fof(f1130,plain,
    ( sk_c7 != multiply(sk_c7,sk_c6)
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(superposition,[],[f729,f1108]) ).

fof(f1112,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | ~ spl0_6
    | spl0_10 ),
    inference(superposition,[],[f607,f1107]) ).

fof(f3304,plain,
    ( sk_c7 = multiply(sk_c2,sk_c6)
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f27,f61,f395,f35,f391,f644,f4,f1114,f1107,f906,f729,f7,f25,f23,f29,f5,f30,f18,f6,f24,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3281,f3282,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f32,f3286,f31,f3287,f17,f3289,f11,f3290,f16,f3291,f13,f3292,f19,f3293,f14,f3294,f15,f3295,f26,f3296,f8,f3297,f20,f3298,f33,f3299,f21,f3300,f9,f3301,f10,f3302,f22,f3303,f28]) ).

fof(f3303,plain,
    ( sk_c7 = inverse(sk_c2)
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f27,f61,f395,f35,f391,f644,f4,f1114,f1107,f906,f729,f7,f25,f28,f23,f29,f5,f30,f18,f6,f24,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3281,f3282,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f32,f3286,f31,f3287,f17,f3289,f11,f3290,f16,f3291,f13,f3292,f19,f3293,f14,f3294,f15,f3295,f26,f3296,f8,f3297,f20,f3298,f33,f3299,f21,f3300,f9,f3301,f10,f3302,f22]) ).

fof(f3302,plain,
    ( sk_c8 = inverse(sk_c1)
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f27,f61,f395,f35,f391,f644,f4,f1114,f1107,f906,f729,f7,f25,f28,f22,f23,f29,f5,f30,f18,f6,f24,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3281,f3282,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f32,f3286,f31,f3287,f17,f3289,f11,f3290,f16,f3291,f13,f3292,f19,f3293,f14,f3294,f15,f3295,f26,f3296,f8,f3297,f20,f3298,f33,f3299,f21,f3300,f9,f3301,f10]) ).

fof(f3301,plain,
    ( multiply(sk_c7,sk_c8) = sk_c6
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f27,f61,f395,f35,f391,f644,f4,f1114,f1107,f906,f729,f7,f25,f28,f22,f10,f23,f29,f5,f30,f18,f6,f24,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3281,f3282,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f32,f3286,f31,f3287,f17,f3289,f11,f3290,f16,f3291,f13,f3292,f19,f3293,f14,f3294,f15,f3295,f26,f3296,f8,f3297,f20,f3298,f33,f3299,f21,f3300,f9]) ).

fof(f3300,plain,
    ( sk_c8 = multiply(sk_c1,sk_c7)
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f9,f27,f61,f395,f35,f391,f644,f4,f1114,f1107,f906,f729,f7,f25,f28,f22,f10,f23,f29,f5,f30,f18,f6,f24,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3281,f3282,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f32,f3286,f31,f3287,f17,f3289,f11,f3290,f16,f3291,f13,f3292,f19,f3293,f14,f3294,f15,f3295,f26,f3296,f8,f3297,f20,f3298,f33,f3299,f21]) ).

fof(f3299,plain,
    ( sk_c7 = multiply(sk_c2,sk_c6)
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f21,f9,f27,f61,f395,f35,f391,f644,f4,f1114,f1107,f906,f729,f7,f25,f28,f22,f10,f23,f29,f5,f30,f18,f6,f24,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3281,f3282,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f32,f3286,f31,f3287,f17,f3289,f11,f3290,f16,f3291,f13,f3292,f19,f3293,f14,f3294,f15,f3295,f26,f3296,f8,f3297,f20,f3298,f33]) ).

fof(f3298,plain,
    ( sk_c8 = multiply(sk_c1,sk_c7)
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f33,f21,f9,f27,f61,f395,f35,f391,f644,f4,f1114,f1107,f906,f729,f7,f25,f28,f22,f10,f23,f29,f5,f30,f18,f6,f24,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3281,f3282,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f32,f3286,f31,f3287,f17,f3289,f11,f3290,f16,f3291,f13,f3292,f19,f3293,f14,f3294,f15,f3295,f26,f3296,f8,f3297,f20]) ).

fof(f3297,plain,
    ( multiply(sk_c7,sk_c8) = sk_c6
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f33,f21,f9,f27,f61,f395,f35,f20,f391,f644,f4,f1114,f1107,f906,f729,f7,f25,f28,f22,f10,f23,f29,f5,f30,f18,f6,f24,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3281,f3282,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f32,f3286,f31,f3287,f17,f3289,f11,f3290,f16,f3291,f13,f3292,f19,f3293,f14,f3294,f15,f3295,f26,f3296,f8]) ).

fof(f3296,plain,
    ( sk_c7 = inverse(sk_c2)
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f33,f21,f9,f27,f61,f395,f35,f20,f8,f391,f644,f4,f1114,f1107,f906,f729,f7,f25,f28,f22,f10,f23,f29,f5,f30,f18,f6,f24,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3281,f3282,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f32,f3286,f31,f3287,f17,f3289,f11,f3290,f16,f3291,f13,f3292,f19,f3293,f14,f3294,f15,f3295,f26]) ).

fof(f3295,plain,
    ( sk_c8 = inverse(sk_c1)
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f33,f21,f9,f27,f61,f395,f35,f20,f8,f26,f391,f644,f4,f1114,f1107,f906,f729,f7,f25,f28,f22,f10,f23,f29,f5,f30,f18,f6,f24,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3281,f3282,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f32,f3286,f31,f3287,f17,f3289,f11,f3290,f16,f3291,f13,f3292,f19,f3293,f14,f3294,f15]) ).

fof(f3294,plain,
    ( sk_c8 = inverse(sk_c1)
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f33,f21,f9,f15,f27,f61,f395,f35,f20,f8,f26,f391,f644,f4,f1114,f1107,f906,f729,f7,f25,f28,f22,f10,f23,f29,f5,f30,f18,f6,f24,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3281,f3282,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f32,f3286,f31,f3287,f17,f3289,f11,f3290,f16,f3291,f13,f3292,f19,f3293,f14]) ).

fof(f3293,plain,
    ( sk_c8 = multiply(sk_c1,sk_c7)
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f33,f21,f14,f9,f15,f27,f61,f395,f35,f20,f8,f26,f391,f644,f4,f1114,f1107,f906,f729,f7,f25,f28,f22,f10,f23,f29,f5,f30,f18,f6,f24,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3281,f3282,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f32,f3286,f31,f3287,f17,f3289,f11,f3290,f16,f3291,f13,f3292,f19]) ).

fof(f3292,plain,
    ( sk_c8 = inverse(sk_c1)
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f33,f21,f14,f9,f15,f27,f61,f395,f35,f20,f8,f26,f391,f644,f4,f1114,f1107,f906,f729,f7,f25,f19,f28,f22,f10,f23,f29,f5,f30,f18,f6,f24,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3281,f3282,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f32,f3286,f31,f3287,f17,f3289,f11,f3290,f16,f3291,f13]) ).

fof(f3291,plain,
    ( sk_c8 = multiply(sk_c1,sk_c7)
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f33,f21,f14,f9,f15,f27,f61,f395,f35,f20,f8,f26,f391,f644,f4,f1114,f1107,f906,f729,f7,f25,f19,f13,f28,f22,f10,f23,f29,f5,f30,f18,f6,f24,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3281,f3282,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f32,f3286,f31,f3287,f17,f3289,f11,f3290,f16]) ).

fof(f3290,plain,
    ( sk_c8 = inverse(sk_c1)
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f33,f21,f14,f9,f15,f27,f61,f395,f35,f20,f8,f26,f391,f644,f4,f1114,f1107,f906,f729,f7,f25,f19,f13,f28,f22,f16,f10,f23,f29,f5,f30,f18,f6,f24,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3281,f3282,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f32,f3286,f31,f3287,f17,f3289,f11]) ).

fof(f3289,plain,
    ( sk_c8 = multiply(sk_c1,sk_c7)
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f33,f21,f14,f9,f15,f27,f61,f395,f35,f20,f8,f26,f391,f644,f4,f1114,f1107,f906,f729,f7,f25,f19,f13,f28,f22,f16,f10,f11,f23,f29,f5,f30,f18,f6,f24,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3281,f3282,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f32,f3286,f31,f3287,f17]) ).

fof(f1817,plain,
    ( sk_c7 = inverse(sk_c2)
    | ~ spl0_6 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f33,f21,f14,f11,f9,f15,f27,f61,f392,f395,f404,f24,f6,f18,f30,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f608,f614,f612,f607,f631,f625,f391,f644,f627,f702,f703,f705,f706,f699,f711,f712,f700,f708,f701,f4,f640,f753,f642,f815,f818,f816,f823,f821,f824,f826,f751,f833,f835,f10,f16,f22,f28,f13,f19,f212,f7,f25]) ).

fof(f1827,plain,
    ( sk_c7 = inverse(sk_c2)
    | ~ spl0_6 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f33,f21,f14,f9,f15,f27,f61,f392,f395,f404,f24,f6,f18,f30,f35,f32,f31,f29,f20,f17,f8,f5,f26,f608,f614,f612,f607,f631,f625,f391,f644,f627,f702,f703,f705,f706,f699,f711,f712,f700,f708,f701,f4,f640,f753,f642,f815,f818,f816,f823,f821,f824,f826,f751,f833,f835,f212,f7,f25,f1817,f19,f13,f28,f22,f16,f10,f11,f23]) ).

fof(f1834,plain,
    ( sk_c7 = inverse(sk_c2)
    | ~ spl0_6 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f33,f21,f14,f9,f15,f27,f61,f392,f395,f404,f35,f32,f31,f20,f8,f26,f608,f614,f612,f607,f631,f625,f391,f644,f627,f702,f703,f705,f706,f699,f711,f712,f700,f708,f701,f4,f640,f753,f642,f815,f818,f816,f823,f821,f824,f826,f751,f833,f835,f212,f7,f25,f1817,f19,f13,f28,f22,f16,f10,f11,f23,f1827,f29,f5,f17,f30,f18,f6,f24]) ).

fof(f3287,plain,
    ( sk_c7 = multiply(sk_c2,sk_c6)
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f33,f21,f14,f9,f15,f27,f61,f395,f35,f20,f8,f26,f391,f644,f4,f1114,f1107,f906,f729,f7,f25,f19,f13,f28,f22,f16,f10,f11,f23,f29,f5,f17,f30,f18,f6,f24,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3281,f3282,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f32,f3286,f31]) ).

fof(f3286,plain,
    ( sk_c7 = multiply(sk_c2,sk_c6)
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f33,f21,f14,f9,f15,f27,f61,f395,f35,f31,f20,f8,f26,f391,f644,f4,f1114,f1107,f906,f729,f7,f25,f19,f13,f28,f22,f16,f10,f11,f23,f29,f5,f17,f30,f18,f6,f24,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3281,f3282,f3283,f2399,f2398,f3284,f2388,f2387,f2343,f2340,f32]) ).

fof(f3282,plain,
    ( sk_c7 != multiply(sk_c8,sk_c6)
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f33,f21,f14,f9,f15,f27,f61,f395,f35,f32,f31,f20,f8,f26,f391,f644,f4,f1114,f1107,f906,f729,f7,f25,f19,f13,f28,f22,f16,f10,f11,f23,f29,f5,f17,f30,f18,f6,f24,f392,f2321,f2318,f2341,f2348,f404,f2370,f2371,f2373,f2377,f2361,f2418,f2394,f2427,f2383,f2466,f2467,f2360,f2497,f2488,f2365,f2525,f2535,f2477,f2559,f2585,f2676,f2700,f2703,f2698,f2711,f2723,f2738,f2821,f2748,f2749,f2751,f2752,f2784,f2830,f2842,f2858,f2859,f2860,f2861,f2854,f2925,f2928,f2929,f2930,f2931,f2702,f3024,f2973,f2983,f2995,f2996,f2997,f2998,f3000,f3001,f2789,f3067,f3078,f3079,f3094,f3098,f3100,f3108,f3269,f3060,f2988,f2979,f3270,f3272,f3273,f2956,f2933,f2927,f3274,f3275,f2831,f2863,f2741,f2734,f2726,f3276,f3278,f3279,f2753,f2681,f2680,f2670,f2669,f2581,f2574,f2647,f3280,f2553,f2478,f2472,f3281]) ).

fof(f1575,plain,
    ( sk_c7 = inverse(sk_c2)
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1549,f1,f2,f12,f3,f33,f21,f14,f13,f11,f10,f9,f15,f27,f61,f392,f395,f404,f24,f6,f18,f30,f35,f32,f31,f29,f20,f19,f17,f16,f8,f7,f5,f26,f25,f23,f22,f212,f608,f614,f612,f607,f631,f625,f391,f644,f627,f702,f703,f705,f706,f699,f711,f712,f700,f708,f701,f4,f640,f753,f642,f815,f818,f816,f823,f821,f824,f826,f751,f833,f835,f28]) ).

fof(f1518,plain,
    ( sk_c7 = sk_c6
    | identity = multiply(sk_c4,sk_c7)
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1517,f708]) ).

fof(f1134,plain,
    ( sk_c6 = multiply(inverse(inverse(inverse(inverse(sk_c7)))),sk_c7)
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(superposition,[],[f754,f1108]) ).

fof(f1132,plain,
    ( sk_c6 = multiply(inverse(inverse(sk_c7)),sk_c7)
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(superposition,[],[f741,f1108]) ).

fof(f1131,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c7,X0))
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(superposition,[],[f734,f1108]) ).

fof(f1114,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c2,multiply(sk_c6,X0))
    | spl0_10 ),
    inference(superposition,[],[f3,f1107]) ).

fof(f1111,plain,
    ( sk_c6 = multiply(inverse(inverse(sk_c7)),sk_c7)
    | ~ spl0_6
    | spl0_10 ),
    inference(superposition,[],[f642,f1107]) ).

fof(f841,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(inverse(sk_c7)),multiply(sk_c8,X0))
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(superposition,[],[f642,f761]) ).

fof(f761,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c2,multiply(sk_c6,X0))
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(superposition,[],[f701,f734]) ).

fof(f835,plain,
    ( ! [X0] : multiply(inverse(inverse(inverse(inverse(sk_c7)))),multiply(sk_c2,X0)) = X0
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f834,f1]) ).

fof(f834,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(inverse(inverse(sk_c7)))),multiply(sk_c2,X0))
    | ~ spl0_6 ),
    inference(superposition,[],[f3,f751]) ).

fof(f833,plain,
    ( sk_c2 = multiply(inverse(inverse(inverse(inverse(inverse(sk_c7))))),identity)
    | ~ spl0_6 ),
    inference(superposition,[],[f61,f751]) ).

fof(f751,plain,
    ( identity = multiply(inverse(inverse(inverse(inverse(sk_c7)))),sk_c2)
    | ~ spl0_6 ),
    inference(superposition,[],[f61,f640]) ).

fof(f826,plain,
    ( ! [X0] : multiply(inverse(inverse(inverse(sk_c7))),multiply(sk_c7,X0)) = X0
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f825,f1]) ).

fof(f825,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(inverse(sk_c7))),multiply(sk_c7,X0))
    | ~ spl0_6 ),
    inference(superposition,[],[f3,f821]) ).

fof(f824,plain,
    ( sk_c7 = multiply(inverse(inverse(inverse(inverse(sk_c7)))),identity)
    | ~ spl0_6 ),
    inference(superposition,[],[f61,f821]) ).

fof(f821,plain,
    ( identity = multiply(inverse(inverse(inverse(sk_c7))),sk_c7)
    | ~ spl0_6 ),
    inference(superposition,[],[f61,f816]) ).

fof(f823,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(inverse(inverse(sk_c7)),X0)
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f822,f1]) ).

fof(f822,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(inverse(inverse(sk_c7)),multiply(identity,X0))
    | ~ spl0_6 ),
    inference(superposition,[],[f3,f816]) ).

fof(f816,plain,
    ( sk_c7 = multiply(inverse(inverse(sk_c7)),identity)
    | ~ spl0_6 ),
    inference(superposition,[],[f642,f699]) ).

fof(f818,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(inverse(inverse(sk_c7))),X0)
    | ~ spl0_6 ),
    inference(superposition,[],[f61,f642]) ).

fof(f815,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(inverse(inverse(sk_c7)),X0)
    | ~ spl0_6 ),
    inference(superposition,[],[f642,f701]) ).

fof(f642,plain,
    ( ! [X0] : multiply(inverse(inverse(sk_c7)),multiply(sk_c2,X0)) = X0
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f641,f1]) ).

fof(f641,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(sk_c7)),multiply(sk_c2,X0))
    | ~ spl0_6 ),
    inference(superposition,[],[f3,f625]) ).

fof(f753,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(inverse(inverse(sk_c7))),X0)
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f752,f1]) ).

fof(f752,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(inverse(inverse(sk_c7))),multiply(identity,X0))
    | ~ spl0_6 ),
    inference(superposition,[],[f3,f640]) ).

fof(f640,plain,
    ( sk_c2 = multiply(inverse(inverse(inverse(sk_c7))),identity)
    | ~ spl0_6 ),
    inference(superposition,[],[f61,f625]) ).

fof(f737,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c2,multiply(sk_c6,X0))
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(superposition,[],[f3,f732]) ).

fof(f708,plain,
    ( sk_c7 = multiply(sk_c7,identity)
    | ~ spl0_6 ),
    inference(superposition,[],[f607,f699]) ).

fof(f700,plain,
    ( sk_c2 = multiply(sk_c2,identity)
    | ~ spl0_6 ),
    inference(superposition,[],[f627,f612]) ).

fof(f712,plain,
    ( ! [X0] : multiply(sk_c2,multiply(sk_c7,X0)) = X0
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f710,f1]) ).

fof(f710,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c2,multiply(sk_c7,X0))
    | ~ spl0_6 ),
    inference(superposition,[],[f3,f699]) ).

fof(f711,plain,
    ( sk_c7 = multiply(sk_c7,identity)
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f709,f212]) ).

fof(f709,plain,
    ( sk_c7 = multiply(inverse(sk_c2),identity)
    | ~ spl0_6 ),
    inference(superposition,[],[f61,f699]) ).

fof(f699,plain,
    ( identity = multiply(sk_c2,sk_c7)
    | ~ spl0_6 ),
    inference(superposition,[],[f627,f2]) ).

fof(f706,plain,
    ( ! [X0] : multiply(sk_c2,multiply(sk_c7,X0)) = X0
    | ~ spl0_6 ),
    inference(superposition,[],[f61,f627]) ).

fof(f705,plain,
    ( sk_c2 = multiply(sk_c2,identity)
    | ~ spl0_6 ),
    inference(superposition,[],[f612,f627]) ).

fof(f703,plain,
    ( ! [X0] : multiply(inverse(inverse(sk_c7)),multiply(sk_c2,X0)) = X0
    | ~ spl0_6 ),
    inference(superposition,[],[f61,f627]) ).

fof(f702,plain,
    ( identity = multiply(sk_c2,sk_c7)
    | ~ spl0_6 ),
    inference(superposition,[],[f2,f627]) ).

fof(f625,plain,
    ( identity = multiply(inverse(inverse(sk_c7)),sk_c2)
    | ~ spl0_6 ),
    inference(superposition,[],[f61,f612]) ).

fof(f631,plain,
    ( ! [X0] : multiply(inverse(sk_c7),X0) = multiply(sk_c2,X0)
    | ~ spl0_6 ),
    inference(superposition,[],[f61,f607]) ).

fof(f607,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c2,X0)) = X0
    | ~ spl0_6 ),
    inference(superposition,[],[f61,f212]) ).

fof(f614,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c2,X0)) = X0
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f613,f1]) ).

fof(f613,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c2,X0))
    | ~ spl0_6 ),
    inference(superposition,[],[f3,f608]) ).

fof(f400,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c8),X0)
    | ~ spl0_1 ),
    inference(superposition,[],[f61,f202]) ).

fof(f418,plain,
    ( sk_c1 = multiply(inverse(sk_c8),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f61,f200]) ).

fof(f202,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f201,f1]) ).

fof(f201,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c1,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f200]) ).

fof(f200,plain,
    ( identity = multiply(sk_c8,sk_c1)
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f39]) ).

fof(f3439,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3438]) ).

fof(f3438,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10
    | spl0_11 ),
    inference(subsumption_resolution,[],[f3437,f3305]) ).

fof(f3305,plain,
    ( identity != sk_c7
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10
    | spl0_11 ),
    inference(superposition,[],[f1184,f1108]) ).

fof(f3259,plain,
    ( ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3258]) ).

fof(f3258,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f3257,f1854]) ).

fof(f1854,plain,
    ( identity = inverse(identity)
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1853,f1214]) ).

fof(f1214,plain,
    ( identity = sk_c7
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1208,f214]) ).

fof(f214,plain,
    ( identity = multiply(sk_c8,sk_c5)
    | ~ spl0_5 ),
    inference(superposition,[],[f2,f208]) ).

fof(f208,plain,
    ( sk_c8 = inverse(sk_c5)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f206]) ).

fof(f1208,plain,
    ( sk_c7 = multiply(sk_c8,sk_c5)
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(superposition,[],[f766,f1191]) ).

fof(f1191,plain,
    ( sk_c8 = sk_c6
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(superposition,[],[f1189,f1168]) ).

fof(f1168,plain,
    ( sk_c6 = multiply(sk_c5,sk_c7)
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1166,f871]) ).

fof(f871,plain,
    ( sk_c5 = inverse(sk_c8)
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f867,f649]) ).

fof(f649,plain,
    ( sk_c5 = multiply(sk_c5,identity)
    | ~ spl0_5 ),
    inference(superposition,[],[f401,f416]) ).

fof(f416,plain,
    ( sk_c5 = multiply(inverse(sk_c8),identity)
    | ~ spl0_5 ),
    inference(superposition,[],[f61,f214]) ).

fof(f401,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(inverse(sk_c8),X0)
    | ~ spl0_5 ),
    inference(superposition,[],[f61,f216]) ).

fof(f216,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f215,f1]) ).

fof(f215,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c5,X0))
    | ~ spl0_5 ),
    inference(superposition,[],[f3,f214]) ).

fof(f867,plain,
    ( inverse(sk_c8) = multiply(sk_c5,identity)
    | ~ spl0_5 ),
    inference(superposition,[],[f650,f851]) ).

fof(f851,plain,
    ( identity = multiply(sk_c8,inverse(sk_c8))
    | ~ spl0_5 ),
    inference(superposition,[],[f791,f2]) ).

fof(f791,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(inverse(sk_c8)),X0)
    | ~ spl0_5 ),
    inference(superposition,[],[f636,f650]) ).

fof(f636,plain,
    ( ! [X0] : multiply(inverse(inverse(sk_c8)),multiply(sk_c5,X0)) = X0
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f635,f1]) ).

fof(f635,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(sk_c8)),multiply(sk_c5,X0))
    | ~ spl0_5 ),
    inference(superposition,[],[f3,f615]) ).

fof(f615,plain,
    ( identity = multiply(inverse(inverse(sk_c8)),sk_c5)
    | ~ spl0_5 ),
    inference(superposition,[],[f61,f416]) ).

fof(f650,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c8,X0)) = X0
    | ~ spl0_5 ),
    inference(superposition,[],[f401,f61]) ).

fof(f1166,plain,
    ( sk_c6 = multiply(inverse(sk_c8),sk_c7)
    | ~ spl0_10 ),
    inference(superposition,[],[f61,f730]) ).

fof(f766,plain,
    ( sk_c7 = multiply(sk_c6,sk_c5)
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f759,f708]) ).

fof(f759,plain,
    ( multiply(sk_c7,identity) = multiply(sk_c6,sk_c5)
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(superposition,[],[f734,f214]) ).

fof(f1853,plain,
    ( sk_c7 = inverse(identity)
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f212,f1247]) ).

fof(f1247,plain,
    ( identity = sk_c2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1226,f2]) ).

fof(f1226,plain,
    ( sk_c2 = multiply(inverse(identity),identity)
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(superposition,[],[f612,f1214]) ).

fof(f3257,plain,
    ( identity != inverse(identity)
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3256,f1417]) ).

fof(f1417,plain,
    ( identity = sk_c5
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1400,f2]) ).

fof(f1400,plain,
    ( sk_c5 = multiply(inverse(identity),identity)
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(superposition,[],[f416,f1185]) ).

fof(f3256,plain,
    ( identity != inverse(sk_c5)
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3255,f871]) ).

fof(f3255,plain,
    ( identity != inverse(inverse(sk_c8))
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f3254,f1417]) ).

fof(f3254,plain,
    ( identity != sk_c5
    | identity != inverse(inverse(sk_c8))
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f3203,f649]) ).

fof(f3203,plain,
    ( identity != multiply(sk_c5,identity)
    | identity != inverse(inverse(sk_c8))
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(superposition,[],[f564,f401]) ).

fof(f564,plain,
    ( ! [X7] :
        ( identity != multiply(X7,identity)
        | identity != inverse(X7) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f563]) ).

fof(f3253,plain,
    ~ spl0_7,
    inference(avatar_contradiction_clause,[],[f3252]) ).

fof(f3252,plain,
    ( $false
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f3251,f2383]) ).

fof(f3251,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f3207,f2383]) ).

fof(f3207,plain,
    ( identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_7 ),
    inference(trivial_inequality_removal,[],[f3202]) ).

fof(f3202,plain,
    ( identity != identity
    | identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_7 ),
    inference(superposition,[],[f564,f2318]) ).

fof(f3250,plain,
    ( ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3249]) ).

fof(f3249,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f3248,f1854]) ).

fof(f3248,plain,
    ( identity != inverse(identity)
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3247,f1185]) ).

fof(f3247,plain,
    ( identity != inverse(sk_c8)
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3246,f2383]) ).

fof(f3246,plain,
    ( identity != inverse(inverse(inverse(sk_c8)))
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f3245,f1185]) ).

fof(f3245,plain,
    ( identity != sk_c8
    | identity != inverse(inverse(inverse(sk_c8)))
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f3201,f657]) ).

fof(f657,plain,
    ( sk_c8 = multiply(sk_c8,identity)
    | ~ spl0_5 ),
    inference(superposition,[],[f216,f648]) ).

fof(f648,plain,
    ( identity = multiply(sk_c5,sk_c8)
    | ~ spl0_5 ),
    inference(superposition,[],[f401,f2]) ).

fof(f3201,plain,
    ( identity != multiply(sk_c8,identity)
    | identity != inverse(inverse(inverse(sk_c8)))
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(superposition,[],[f564,f791]) ).

fof(f3241,plain,
    ~ spl0_7,
    inference(avatar_contradiction_clause,[],[f3240]) ).

fof(f3240,plain,
    ( $false
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f3208,f2383]) ).

fof(f3208,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_7 ),
    inference(trivial_inequality_removal,[],[f3199]) ).

fof(f3199,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_7 ),
    inference(superposition,[],[f564,f391]) ).

fof(f3239,plain,
    ~ spl0_7,
    inference(avatar_contradiction_clause,[],[f3238]) ).

fof(f3238,plain,
    ( $false
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f3209,f2383]) ).

fof(f3209,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_7 ),
    inference(trivial_inequality_removal,[],[f3198]) ).

fof(f3198,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_7 ),
    inference(superposition,[],[f564,f2]) ).

fof(f3237,plain,
    ( ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3236]) ).

fof(f3236,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f3210,f1854]) ).

fof(f3210,plain,
    ( identity != inverse(identity)
    | ~ spl0_7 ),
    inference(trivial_inequality_removal,[],[f3197]) ).

fof(f3197,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl0_7 ),
    inference(superposition,[],[f564,f1]) ).

fof(f3235,plain,
    ( ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3234]) ).

fof(f3234,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f3233,f1854]) ).

fof(f3233,plain,
    ( identity != inverse(identity)
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3232,f1417]) ).

fof(f3232,plain,
    ( identity != inverse(sk_c5)
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f3196,f1417]) ).

fof(f3196,plain,
    ( identity != sk_c5
    | identity != inverse(sk_c5)
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(superposition,[],[f564,f649]) ).

fof(f3231,plain,
    ( ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3230]) ).

fof(f3230,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f3229,f1854]) ).

fof(f3229,plain,
    ( identity != inverse(identity)
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3228,f1185]) ).

fof(f3228,plain,
    ( identity != inverse(sk_c8)
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f3195,f1185]) ).

fof(f3195,plain,
    ( identity != sk_c8
    | identity != inverse(sk_c8)
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(superposition,[],[f564,f657]) ).

fof(f3227,plain,
    ( ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3226]) ).

fof(f3226,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f3225,f1854]) ).

fof(f3225,plain,
    ( identity != inverse(identity)
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3224,f1417]) ).

fof(f3224,plain,
    ( identity != inverse(sk_c5)
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3223,f871]) ).

fof(f3223,plain,
    ( identity != inverse(inverse(sk_c8))
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f3194,f1417]) ).

fof(f3194,plain,
    ( identity != sk_c5
    | identity != inverse(inverse(sk_c8))
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(superposition,[],[f564,f416]) ).

fof(f3222,plain,
    ( ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3221]) ).

fof(f3221,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f3220,f1854]) ).

fof(f3220,plain,
    ( identity != inverse(identity)
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3219,f1185]) ).

fof(f3219,plain,
    ( identity != inverse(sk_c8)
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3218,f2383]) ).

fof(f3218,plain,
    ( identity != inverse(inverse(inverse(sk_c8)))
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f3193,f1185]) ).

fof(f3193,plain,
    ( identity != sk_c8
    | identity != inverse(inverse(inverse(sk_c8)))
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(superposition,[],[f564,f792]) ).

fof(f792,plain,
    ( sk_c8 = multiply(inverse(inverse(sk_c8)),identity)
    | ~ spl0_5 ),
    inference(superposition,[],[f636,f648]) ).

fof(f3217,plain,
    ( ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3216]) ).

fof(f3216,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f3215,f1854]) ).

fof(f3215,plain,
    ( identity != inverse(identity)
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3214,f1417]) ).

fof(f3214,plain,
    ( identity != inverse(sk_c5)
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3213,f871]) ).

fof(f3213,plain,
    ( identity != inverse(inverse(sk_c8))
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3212,f2383]) ).

fof(f3212,plain,
    ( identity != inverse(inverse(inverse(inverse(sk_c8))))
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f3192,f1417]) ).

fof(f3192,plain,
    ( identity != sk_c5
    | identity != inverse(inverse(inverse(inverse(sk_c8))))
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(superposition,[],[f564,f634]) ).

fof(f634,plain,
    ( sk_c5 = multiply(inverse(inverse(inverse(sk_c8))),identity)
    | ~ spl0_5 ),
    inference(superposition,[],[f61,f615]) ).

fof(f3189,plain,
    ( ~ spl0_5
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f3188]) ).

fof(f3188,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f3187,f1]) ).

fof(f3187,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_5
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f3162,f1417]) ).

fof(f3162,plain,
    ( identity != multiply(sk_c5,identity)
    | ~ spl0_5
    | ~ spl0_13 ),
    inference(superposition,[],[f3146,f401]) ).

fof(f3146,plain,
    ( ! [X5] : identity != multiply(inverse(X5),identity)
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f3145]) ).

fof(f3186,plain,
    ( ~ spl0_5
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f3185]) ).

fof(f3185,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f3184,f1]) ).

fof(f3184,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_5
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f3160,f1185]) ).

fof(f3160,plain,
    ( identity != multiply(sk_c8,identity)
    | ~ spl0_5
    | ~ spl0_13 ),
    inference(superposition,[],[f3146,f791]) ).

fof(f3183,plain,
    ( ~ spl0_5
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f3182]) ).

fof(f3182,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f3155,f1417]) ).

fof(f3155,plain,
    ( identity != sk_c5
    | ~ spl0_5
    | ~ spl0_13 ),
    inference(superposition,[],[f3146,f416]) ).

fof(f3181,plain,
    ( ~ spl0_5
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f3180]) ).

fof(f3180,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f3154,f1185]) ).

fof(f3154,plain,
    ( identity != sk_c8
    | ~ spl0_5
    | ~ spl0_13 ),
    inference(superposition,[],[f3146,f792]) ).

fof(f3179,plain,
    ( ~ spl0_5
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f3178]) ).

fof(f3178,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f3153,f1417]) ).

fof(f3153,plain,
    ( identity != sk_c5
    | ~ spl0_5
    | ~ spl0_13 ),
    inference(superposition,[],[f3146,f634]) ).

fof(f3177,plain,
    ( ~ spl0_5
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f3176]) ).

fof(f3176,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f3175,f1]) ).

fof(f3175,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_5
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f3151,f1185]) ).

fof(f3151,plain,
    ( identity != multiply(sk_c8,identity)
    | ~ spl0_5
    | ~ spl0_13 ),
    inference(superposition,[],[f3146,f208]) ).

fof(f3174,plain,
    ( ~ spl0_5
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f3173]) ).

fof(f3173,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f3172,f1]) ).

fof(f3172,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_5
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f3150,f1417]) ).

fof(f3150,plain,
    ( identity != multiply(sk_c5,identity)
    | ~ spl0_5
    | ~ spl0_13 ),
    inference(superposition,[],[f3146,f871]) ).

fof(f3171,plain,
    ( ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f3170]) ).

fof(f3170,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f3148,f1]) ).

fof(f3148,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(superposition,[],[f3146,f1854]) ).

fof(f3169,plain,
    ~ spl0_13,
    inference(avatar_contradiction_clause,[],[f3168]) ).

fof(f3168,plain,
    ( $false
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f3157]) ).

fof(f3157,plain,
    ( identity != identity
    | ~ spl0_13 ),
    inference(superposition,[],[f3146,f2]) ).

fof(f3167,plain,
    ~ spl0_13,
    inference(avatar_contradiction_clause,[],[f3166]) ).

fof(f3166,plain,
    ( $false
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f3158]) ).

fof(f3158,plain,
    ( identity != identity
    | ~ spl0_13 ),
    inference(superposition,[],[f3146,f391]) ).

fof(f3165,plain,
    ~ spl0_13,
    inference(avatar_contradiction_clause,[],[f3164]) ).

fof(f3164,plain,
    ( $false
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f3161]) ).

fof(f3161,plain,
    ( identity != identity
    | ~ spl0_13 ),
    inference(superposition,[],[f3146,f2318]) ).

fof(f3147,plain,
    ( spl0_7
    | spl0_7
    | spl0_7
    | spl0_13
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f2548,f1187,f1183,f728,f206,f3145,f563,f563,f563]) ).

fof(f2548,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(inverse(X5),identity)
        | identity != multiply(X3,identity)
        | identity != multiply(X4,identity)
        | identity != multiply(X7,identity)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | identity != inverse(X4) )
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2447,f2360]) ).

fof(f2447,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(X5,inverse(X5))
        | identity != multiply(inverse(X5),identity)
        | identity != multiply(X3,identity)
        | identity != multiply(X4,identity)
        | identity != multiply(X7,identity)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | identity != inverse(X4) )
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2446,f1421]) ).

fof(f1421,plain,
    ( identity = sk_c7
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1420,f1]) ).

fof(f1420,plain,
    ( sk_c7 = multiply(identity,identity)
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1419,f1185]) ).

fof(f1419,plain,
    ( sk_c7 = multiply(identity,sk_c8)
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1407,f1191]) ).

fof(f1407,plain,
    ( sk_c7 = multiply(identity,sk_c6)
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(superposition,[],[f730,f1185]) ).

fof(f2446,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != sk_c7
        | identity != multiply(X5,inverse(X5))
        | identity != multiply(inverse(X5),identity)
        | identity != multiply(X3,identity)
        | identity != multiply(X4,identity)
        | identity != multiply(X7,identity)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | identity != inverse(X4) )
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2445,f2361]) ).

fof(f2445,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(sk_c7,identity)
        | identity != multiply(X5,inverse(X5))
        | identity != multiply(inverse(X5),identity)
        | identity != multiply(X3,identity)
        | identity != multiply(X4,identity)
        | identity != multiply(X7,identity)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | identity != inverse(X4) )
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2444,f1185]) ).

fof(f2444,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(sk_c7,sk_c8)
        | identity != multiply(X5,inverse(X5))
        | identity != multiply(inverse(X5),identity)
        | identity != multiply(X3,identity)
        | identity != multiply(X4,identity)
        | identity != multiply(X7,identity)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | identity != inverse(X4) )
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2443,f2034]) ).

fof(f2034,plain,
    ( identity = sk_c6
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1191,f1185]) ).

fof(f2443,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(X5,inverse(X5))
        | identity != multiply(inverse(X5),identity)
        | identity != multiply(X3,identity)
        | identity != multiply(X4,identity)
        | identity != multiply(X7,identity)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | identity != inverse(X4)
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2442,f1185]) ).

fof(f2442,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(inverse(X5),identity)
        | identity != multiply(X3,identity)
        | identity != multiply(X4,identity)
        | identity != multiply(X7,identity)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | identity != inverse(X4)
        | sk_c8 != multiply(X5,inverse(X5))
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2441,f1185]) ).

fof(f2441,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c8 != multiply(inverse(X5),identity)
        | identity != multiply(X3,identity)
        | identity != multiply(X4,identity)
        | identity != multiply(X7,identity)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | identity != inverse(X4)
        | sk_c8 != multiply(X5,inverse(X5))
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2440,f1421]) ).

fof(f2440,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(X3,identity)
        | identity != multiply(X4,identity)
        | identity != multiply(X7,identity)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | identity != inverse(X4)
        | sk_c8 != multiply(inverse(X5),sk_c7)
        | sk_c8 != multiply(X5,inverse(X5))
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2439,f1185]) ).

fof(f2439,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c8 != multiply(X3,identity)
        | identity != multiply(X4,identity)
        | identity != multiply(X7,identity)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | identity != inverse(X4)
        | sk_c8 != multiply(inverse(X5),sk_c7)
        | sk_c8 != multiply(X5,inverse(X5))
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2438,f1421]) ).

fof(f2438,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(X4,identity)
        | identity != multiply(X7,identity)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | identity != inverse(X4)
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(inverse(X5),sk_c7)
        | sk_c8 != multiply(X5,inverse(X5))
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2437,f1421]) ).

fof(f2437,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != multiply(X4,identity)
        | identity != multiply(X7,identity)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | identity != inverse(X4)
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(inverse(X5),sk_c7)
        | sk_c8 != multiply(X5,inverse(X5))
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2436,f2034]) ).

fof(f2436,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(X7,identity)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | identity != inverse(X4)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(inverse(X5),sk_c7)
        | sk_c8 != multiply(X5,inverse(X5))
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2435,f1421]) ).

fof(f2435,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != sk_c7
        | identity != multiply(X7,identity)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | identity != inverse(X4)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(inverse(X5),sk_c7)
        | sk_c8 != multiply(X5,inverse(X5))
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2434,f1185]) ).

fof(f2434,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != sk_c8
        | identity != multiply(X7,identity)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | identity != inverse(X4)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(inverse(X5),sk_c7)
        | sk_c8 != multiply(X5,inverse(X5))
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2433,f657]) ).

fof(f2433,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != multiply(sk_c8,identity)
        | identity != multiply(X7,identity)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | identity != inverse(X4)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(inverse(X5),sk_c7)
        | sk_c8 != multiply(X5,inverse(X5))
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2432,f2034]) ).

fof(f2432,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(X7,identity)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | identity != inverse(X4)
        | sk_c7 != multiply(sk_c8,sk_c6)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(inverse(X5),sk_c7)
        | sk_c8 != multiply(X5,inverse(X5))
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2431,f2034]) ).

fof(f2431,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c6 != multiply(X7,identity)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | identity != inverse(X4)
        | sk_c7 != multiply(sk_c8,sk_c6)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(inverse(X5),sk_c7)
        | sk_c8 != multiply(X5,inverse(X5))
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2430,f1185]) ).

fof(f2430,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X3)
        | identity != inverse(X7)
        | identity != inverse(X4)
        | sk_c6 != multiply(X7,sk_c8)
        | sk_c7 != multiply(sk_c8,sk_c6)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(inverse(X5),sk_c7)
        | sk_c8 != multiply(X5,inverse(X5))
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2429,f1185]) ).

fof(f2429,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X7)
        | identity != inverse(X4)
        | sk_c8 != inverse(X3)
        | sk_c6 != multiply(X7,sk_c8)
        | sk_c7 != multiply(sk_c8,sk_c6)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(inverse(X5),sk_c7)
        | sk_c8 != multiply(X5,inverse(X5))
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2428,f1185]) ).

fof(f2428,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X4)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X3)
        | sk_c6 != multiply(X7,sk_c8)
        | sk_c7 != multiply(sk_c8,sk_c6)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(inverse(X5),sk_c7)
        | sk_c8 != multiply(X5,inverse(X5))
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f35,f1421]) ).

fof(f2310,plain,
    ( ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2309]) ).

fof(f2309,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f2308,f1]) ).

fof(f2308,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2307,f1417]) ).

fof(f2307,plain,
    ( identity != multiply(sk_c5,identity)
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f2266,f851]) ).

fof(f2266,plain,
    ( identity != multiply(sk_c5,identity)
    | identity != multiply(sk_c8,inverse(sk_c8))
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(superposition,[],[f567,f401]) ).

fof(f567,plain,
    ( ! [X5] :
        ( identity != multiply(inverse(X5),identity)
        | identity != multiply(X5,inverse(X5)) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f566]) ).

fof(f566,plain,
    ( spl0_8
  <=> ! [X5] :
        ( identity != multiply(X5,inverse(X5))
        | identity != multiply(inverse(X5),identity) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f2306,plain,
    ( ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2305]) ).

fof(f2305,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f2304,f648]) ).

fof(f2304,plain,
    ( identity != multiply(sk_c5,sk_c8)
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2303,f208]) ).

fof(f2303,plain,
    ( identity != multiply(sk_c5,inverse(sk_c5))
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2302,f871]) ).

fof(f2302,plain,
    ( identity != multiply(inverse(sk_c8),inverse(inverse(sk_c8)))
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f2301,f1185]) ).

fof(f2301,plain,
    ( identity != sk_c8
    | identity != multiply(inverse(sk_c8),inverse(inverse(sk_c8)))
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2265,f657]) ).

fof(f2265,plain,
    ( identity != multiply(sk_c8,identity)
    | identity != multiply(inverse(sk_c8),inverse(inverse(sk_c8)))
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(superposition,[],[f567,f791]) ).

fof(f2300,plain,
    ( ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2299]) ).

fof(f2299,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2298,f1]) ).

fof(f2298,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2267,f1854]) ).

fof(f2267,plain,
    ( identity != multiply(identity,inverse(identity))
    | ~ spl0_8 ),
    inference(trivial_inequality_removal,[],[f2264]) ).

fof(f2264,plain,
    ( identity != identity
    | identity != multiply(identity,inverse(identity))
    | ~ spl0_8 ),
    inference(superposition,[],[f567,f391]) ).

fof(f2297,plain,
    ( ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2296]) ).

fof(f2296,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2295,f1]) ).

fof(f2295,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2268,f1854]) ).

fof(f2268,plain,
    ( identity != multiply(identity,inverse(identity))
    | ~ spl0_8 ),
    inference(trivial_inequality_removal,[],[f2263]) ).

fof(f2263,plain,
    ( identity != identity
    | identity != multiply(identity,inverse(identity))
    | ~ spl0_8 ),
    inference(superposition,[],[f567,f2]) ).

fof(f2294,plain,
    ( ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2293]) ).

fof(f2293,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f2292,f851]) ).

fof(f2292,plain,
    ( identity != multiply(sk_c8,inverse(sk_c8))
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f2262,f1417]) ).

fof(f2262,plain,
    ( identity != sk_c5
    | identity != multiply(sk_c8,inverse(sk_c8))
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(superposition,[],[f567,f416]) ).

fof(f2291,plain,
    ( ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2290]) ).

fof(f2290,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f2289,f648]) ).

fof(f2289,plain,
    ( identity != multiply(sk_c5,sk_c8)
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2288,f208]) ).

fof(f2288,plain,
    ( identity != multiply(sk_c5,inverse(sk_c5))
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2287,f871]) ).

fof(f2287,plain,
    ( identity != multiply(inverse(sk_c8),inverse(inverse(sk_c8)))
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f2261,f1185]) ).

fof(f2261,plain,
    ( identity != sk_c8
    | identity != multiply(inverse(sk_c8),inverse(inverse(sk_c8)))
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(superposition,[],[f567,f792]) ).

fof(f2286,plain,
    ( ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2285]) ).

fof(f2285,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f2284,f851]) ).

fof(f2284,plain,
    ( identity != multiply(sk_c8,inverse(sk_c8))
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2283,f208]) ).

fof(f2283,plain,
    ( identity != multiply(inverse(sk_c5),inverse(inverse(sk_c5)))
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2282,f871]) ).

fof(f2282,plain,
    ( identity != multiply(inverse(inverse(sk_c8)),inverse(inverse(inverse(sk_c8))))
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f2260,f1417]) ).

fof(f2260,plain,
    ( identity != sk_c5
    | identity != multiply(inverse(inverse(sk_c8)),inverse(inverse(inverse(sk_c8))))
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(superposition,[],[f567,f634]) ).

fof(f2281,plain,
    ( ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2280]) ).

fof(f2280,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f2279,f648]) ).

fof(f2279,plain,
    ( identity != multiply(sk_c5,sk_c8)
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2278,f208]) ).

fof(f2278,plain,
    ( identity != multiply(sk_c5,inverse(sk_c5))
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f2277,f1185]) ).

fof(f2277,plain,
    ( identity != sk_c8
    | identity != multiply(sk_c5,inverse(sk_c5))
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2259,f657]) ).

fof(f2259,plain,
    ( identity != multiply(sk_c8,identity)
    | identity != multiply(sk_c5,inverse(sk_c5))
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(superposition,[],[f567,f208]) ).

fof(f2276,plain,
    ( ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2275]) ).

fof(f2275,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f2274,f1]) ).

fof(f2274,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2273,f1417]) ).

fof(f2273,plain,
    ( identity != multiply(sk_c5,identity)
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f2258,f851]) ).

fof(f2258,plain,
    ( identity != multiply(sk_c5,identity)
    | identity != multiply(sk_c8,inverse(sk_c8))
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(superposition,[],[f567,f871]) ).

fof(f2272,plain,
    ( ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2271]) ).

fof(f2271,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2270,f1]) ).

fof(f2270,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2269,f1854]) ).

fof(f2269,plain,
    ( identity != multiply(identity,inverse(identity))
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2257,f1]) ).

fof(f2257,plain,
    ( identity != multiply(identity,identity)
    | identity != multiply(identity,inverse(identity))
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(superposition,[],[f567,f1854]) ).

fof(f2206,plain,
    ( spl0_7
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f2189,f1187,f1183,f728,f206,f194,f563]) ).

fof(f2189,plain,
    ( ! [X4] :
        ( identity != multiply(X4,identity)
        | identity != inverse(X4) )
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2188,f1421]) ).

fof(f2188,plain,
    ( ! [X4] :
        ( identity != inverse(X4)
        | sk_c7 != multiply(X4,sk_c7) )
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f195,f1421]) ).

fof(f2008,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2007]) ).

fof(f2007,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f33,f21,f14,f9,f15,f200,f202,f27,f208,f214,f216,f61,f392,f395,f404,f35,f418,f400,f32,f31,f20,f8,f26,f416,f617,f615,f391,f644,f647,f401,f651,f652,f654,f655,f648,f660,f661,f649,f657,f650,f4,f634,f747,f636,f793,f792,f798,f796,f799,f801,f745,f827,f829,f791,f856,f857,f851,f872,f871,f1067,f1007,f1163,f1546,f7,f1377,f25,f1066,f1818,f19,f1819,f1625,f1820,f13,f1821,f28,f22,f16,f1824,f10,f11,f1826,f23,f29,f5,f17,f1830,f30,f18,f1832,f6,f24,f39,f618,f42,f1960,f1831,f1965,f1828,f1974,f1981,f1984,f1188]) ).

fof(f1984,plain,
    ( sk_c8 = multiply(sk_c5,sk_c7)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f1818,f618]) ).

fof(f1981,plain,
    ( sk_c8 = multiply(sk_c5,sk_c7)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f1819,f618]) ).

fof(f1974,plain,
    ( sk_c8 = multiply(sk_c5,sk_c7)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f1824,f618]) ).

fof(f1965,plain,
    ( sk_c8 = multiply(sk_c5,sk_c7)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f1830,f618]) ).

fof(f1960,plain,
    ( sk_c8 = multiply(sk_c5,sk_c7)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f1832,f618]) ).

fof(f618,plain,
    ( sk_c5 = sk_c1
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f418,f416]) ).

fof(f1832,plain,
    ( sk_c8 = multiply(sk_c1,sk_c7)
    | spl0_2
    | ~ spl0_5 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f33,f21,f14,f9,f15,f27,f208,f214,f216,f61,f392,f395,f404,f42,f24,f6,f35,f32,f31,f20,f8,f26,f416,f617,f615,f391,f644,f401,f651,f652,f654,f655,f648,f660,f661,f649,f657,f650,f4,f634,f747,f636,f793,f792,f798,f796,f799,f801,f745,f827,f829,f791,f856,f857,f851,f872,f871,f1546,f7,f1377,f25,f1066,f1818,f19,f1819,f1625,f1820,f13,f1821,f28,f22,f16,f1824,f10,f11,f1826,f23,f29,f1828,f5,f17,f1830,f30,f1831,f18]) ).

fof(f1830,plain,
    ( sk_c8 = multiply(sk_c1,sk_c7)
    | spl0_2
    | ~ spl0_5 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f33,f21,f14,f9,f15,f27,f208,f214,f216,f61,f392,f395,f404,f42,f24,f6,f18,f30,f35,f32,f31,f20,f8,f26,f416,f617,f615,f391,f644,f401,f651,f652,f654,f655,f648,f660,f661,f649,f657,f650,f4,f634,f747,f636,f793,f792,f798,f796,f799,f801,f745,f827,f829,f791,f856,f857,f851,f872,f871,f1546,f7,f1377,f25,f1066,f1818,f19,f1819,f1625,f1820,f13,f1821,f28,f22,f16,f1824,f10,f11,f1826,f23,f29,f1828,f5,f17]) ).

fof(f1826,plain,
    ( sk_c8 = inverse(sk_c1)
    | spl0_2
    | ~ spl0_5 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f33,f21,f14,f9,f15,f27,f208,f214,f216,f61,f392,f395,f404,f42,f24,f6,f18,f30,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f416,f617,f615,f391,f644,f401,f651,f652,f654,f655,f648,f660,f661,f649,f657,f650,f4,f634,f747,f636,f793,f792,f798,f796,f799,f801,f745,f827,f829,f791,f856,f857,f851,f872,f871,f1546,f7,f1377,f25,f1066,f1818,f19,f1819,f1625,f1820,f13,f1821,f28,f22,f16,f1824,f10,f11]) ).

fof(f1824,plain,
    ( sk_c8 = multiply(sk_c1,sk_c7)
    | spl0_2
    | ~ spl0_5 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f33,f21,f14,f11,f9,f15,f27,f208,f214,f216,f61,f392,f395,f404,f42,f24,f6,f18,f30,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f416,f617,f615,f391,f644,f401,f651,f652,f654,f655,f648,f660,f661,f649,f657,f650,f4,f634,f747,f636,f793,f792,f798,f796,f799,f801,f745,f827,f829,f791,f856,f857,f851,f872,f871,f10,f1546,f7,f1377,f25,f1066,f1818,f19,f1819,f1625,f1820,f13,f1821,f28,f22,f16]) ).

fof(f1821,plain,
    ( sk_c8 = inverse(sk_c1)
    | spl0_2
    | ~ spl0_5 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f33,f21,f14,f11,f9,f15,f27,f208,f214,f216,f61,f392,f395,f404,f42,f24,f6,f18,f30,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f416,f617,f615,f391,f644,f401,f651,f652,f654,f655,f648,f660,f661,f649,f657,f650,f4,f634,f747,f636,f793,f792,f798,f796,f799,f801,f745,f827,f829,f791,f856,f857,f851,f872,f871,f10,f16,f22,f28,f1546,f7,f1377,f25,f1066,f1818,f19,f1819,f1625,f1820,f13]) ).

fof(f1820,plain,
    ( sk_c8 = inverse(sk_c1)
    | spl0_2
    | ~ spl0_5 ),
    inference(global_subsumption,[],[f1625,f1,f2,f12,f3,f33,f21,f14,f11,f9,f15,f27,f61,f392,f395,f404,f42,f24,f6,f18,f30,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f391,f644,f4,f10,f16,f22,f28,f13,f7,f25,f19]) ).

fof(f1625,plain,
    ( identity = sk_c6
    | sk_c8 = inverse(sk_c1)
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f14,f648]) ).

fof(f1819,plain,
    ( sk_c8 = multiply(sk_c1,sk_c7)
    | spl0_2
    | ~ spl0_5 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f33,f21,f14,f11,f9,f15,f27,f208,f214,f216,f61,f392,f395,f404,f42,f24,f6,f18,f30,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f416,f617,f615,f391,f644,f401,f651,f652,f654,f655,f648,f660,f661,f649,f657,f650,f4,f634,f747,f636,f793,f792,f798,f796,f799,f801,f745,f827,f829,f791,f856,f857,f851,f872,f871,f10,f16,f22,f28,f13,f1625,f1546,f7,f1377,f25,f1066,f1818,f19]) ).

fof(f1818,plain,
    ( sk_c8 = multiply(sk_c1,sk_c7)
    | spl0_2
    | ~ spl0_5 ),
    inference(global_subsumption,[],[f1066,f1,f2,f12,f3,f33,f21,f14,f11,f9,f15,f27,f61,f392,f395,f404,f42,f24,f6,f18,f30,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f391,f644,f4,f10,f16,f22,f28,f13,f19,f7,f25]) ).

fof(f1066,plain,
    ( identity = sk_c6
    | sk_c8 = multiply(sk_c1,sk_c7)
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f20,f648]) ).

fof(f1377,plain,
    ( identity = sk_c6
    | multiply(sk_c7,sk_c8) = sk_c6
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f8,f648]) ).

fof(f1546,plain,
    ( identity = sk_c6
    | sk_c7 = inverse(sk_c2)
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f26,f648]) ).

fof(f1163,plain,
    ( sk_c8 = multiply(sk_c5,sk_c7)
    | sk_c7 = multiply(sk_c8,sk_c6)
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f16,f618]) ).

fof(f1007,plain,
    ( sk_c8 = multiply(sk_c5,sk_c7)
    | sk_c8 = multiply(sk_c4,sk_c7)
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f19,f618]) ).

fof(f1067,plain,
    ( sk_c8 = multiply(sk_c5,sk_c7)
    | identity = sk_c6
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f1066,f618]) ).

fof(f872,plain,
    ( sk_c5 = inverse(sk_c8)
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f868,f416]) ).

fof(f868,plain,
    ( inverse(sk_c8) = multiply(inverse(sk_c8),identity)
    | ~ spl0_5 ),
    inference(superposition,[],[f61,f851]) ).

fof(f857,plain,
    ( ! [X0] : multiply(inverse(inverse(inverse(sk_c8))),multiply(sk_c8,X0)) = X0
    | ~ spl0_5 ),
    inference(superposition,[],[f61,f791]) ).

fof(f856,plain,
    ( identity = multiply(sk_c8,inverse(sk_c8))
    | ~ spl0_5 ),
    inference(superposition,[],[f2,f791]) ).

fof(f829,plain,
    ( ! [X0] : multiply(inverse(inverse(inverse(inverse(sk_c8)))),multiply(sk_c5,X0)) = X0
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f828,f1]) ).

fof(f828,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(inverse(inverse(sk_c8)))),multiply(sk_c5,X0))
    | ~ spl0_5 ),
    inference(superposition,[],[f3,f745]) ).

fof(f827,plain,
    ( sk_c5 = multiply(inverse(inverse(inverse(inverse(inverse(sk_c8))))),identity)
    | ~ spl0_5 ),
    inference(superposition,[],[f61,f745]) ).

fof(f745,plain,
    ( identity = multiply(inverse(inverse(inverse(inverse(sk_c8)))),sk_c5)
    | ~ spl0_5 ),
    inference(superposition,[],[f61,f634]) ).

fof(f801,plain,
    ( ! [X0] : multiply(inverse(inverse(inverse(sk_c8))),multiply(sk_c8,X0)) = X0
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f800,f1]) ).

fof(f800,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(inverse(sk_c8))),multiply(sk_c8,X0))
    | ~ spl0_5 ),
    inference(superposition,[],[f3,f796]) ).

fof(f799,plain,
    ( sk_c8 = multiply(inverse(inverse(inverse(inverse(sk_c8)))),identity)
    | ~ spl0_5 ),
    inference(superposition,[],[f61,f796]) ).

fof(f796,plain,
    ( identity = multiply(inverse(inverse(inverse(sk_c8))),sk_c8)
    | ~ spl0_5 ),
    inference(superposition,[],[f61,f792]) ).

fof(f798,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(inverse(sk_c8)),X0)
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f797,f1]) ).

fof(f797,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(inverse(sk_c8)),multiply(identity,X0))
    | ~ spl0_5 ),
    inference(superposition,[],[f3,f792]) ).

fof(f793,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(inverse(inverse(inverse(sk_c8))),X0)
    | ~ spl0_5 ),
    inference(superposition,[],[f61,f636]) ).

fof(f747,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(inverse(inverse(inverse(sk_c8))),X0)
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f746,f1]) ).

fof(f746,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(inverse(inverse(inverse(sk_c8))),multiply(identity,X0))
    | ~ spl0_5 ),
    inference(superposition,[],[f3,f634]) ).

fof(f661,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c8,X0)) = X0
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f659,f1]) ).

fof(f659,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c8,X0))
    | ~ spl0_5 ),
    inference(superposition,[],[f3,f648]) ).

fof(f660,plain,
    ( sk_c8 = multiply(sk_c8,identity)
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f658,f208]) ).

fof(f658,plain,
    ( sk_c8 = multiply(inverse(sk_c5),identity)
    | ~ spl0_5 ),
    inference(superposition,[],[f61,f648]) ).

fof(f655,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c8,X0)) = X0
    | ~ spl0_5 ),
    inference(superposition,[],[f61,f401]) ).

fof(f654,plain,
    ( sk_c5 = multiply(sk_c5,identity)
    | ~ spl0_5 ),
    inference(superposition,[],[f416,f401]) ).

fof(f652,plain,
    ( ! [X0] : multiply(inverse(inverse(sk_c8)),multiply(sk_c5,X0)) = X0
    | ~ spl0_5 ),
    inference(superposition,[],[f61,f401]) ).

fof(f651,plain,
    ( identity = multiply(sk_c5,sk_c8)
    | ~ spl0_5 ),
    inference(superposition,[],[f2,f401]) ).

fof(f647,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(inverse(sk_c8),X0)
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f400,f618]) ).

fof(f617,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(inverse(sk_c8),X0)
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f616,f1]) ).

fof(f616,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(inverse(sk_c8),multiply(identity,X0))
    | ~ spl0_5 ),
    inference(superposition,[],[f3,f416]) ).

fof(f2006,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2005]) ).

fof(f2005,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_12 ),
    inference(global_subsumption,[],[f212,f1,f2,f12,f3,f33,f21,f14,f9,f15,f200,f202,f27,f208,f214,f216,f61,f392,f395,f404,f35,f418,f400,f32,f31,f20,f8,f26,f416,f617,f615,f391,f644,f647,f401,f651,f652,f654,f655,f648,f660,f661,f649,f657,f650,f4,f634,f747,f636,f793,f792,f798,f796,f799,f801,f745,f827,f829,f791,f856,f857,f851,f872,f871,f1067,f1007,f1163,f1188,f1546,f7,f1377,f25,f1066,f1818,f19,f1819,f1625,f1820,f13,f1821,f28,f22,f16,f1824,f10,f11,f1826,f23,f29,f5,f17,f1830,f30,f18,f1832,f6,f24,f39,f618,f42,f1960,f1831,f1965,f1828,f1974,f1981,f1984]) ).

fof(f2004,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2003]) ).

fof(f2003,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_12 ),
    inference(global_subsumption,[],[f1576,f1,f2,f12,f3,f33,f21,f14,f9,f15,f200,f202,f27,f208,f214,f216,f61,f392,f395,f404,f35,f418,f400,f32,f31,f20,f8,f26,f416,f617,f615,f391,f644,f647,f401,f651,f652,f654,f655,f648,f660,f661,f649,f657,f650,f4,f634,f747,f636,f793,f792,f798,f796,f799,f801,f745,f827,f829,f791,f856,f857,f851,f872,f871,f1067,f1007,f1163,f1188,f1546,f7,f1377,f25,f1066,f1818,f19,f1819,f1625,f1820,f13,f1821,f28,f22,f16,f1824,f10,f11,f1826,f23,f29,f5,f17,f1830,f30,f18,f1832,f6,f24,f39,f618,f42,f1960,f1831,f1965,f1828,f1974,f1981,f1984]) ).

fof(f1576,plain,
    ( sk_c7 = inverse(sk_c2)
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(global_subsumption,[],[f1546,f1,f2,f12,f3,f33,f21,f14,f13,f11,f10,f9,f15,f27,f61,f392,f395,f404,f24,f6,f18,f30,f35,f32,f31,f29,f20,f19,f17,f16,f8,f7,f5,f26,f25,f23,f22,f212,f608,f614,f612,f607,f631,f625,f391,f644,f627,f702,f703,f705,f706,f699,f711,f712,f700,f708,f701,f4,f640,f753,f642,f815,f818,f816,f823,f821,f824,f826,f751,f833,f835,f28]) ).

fof(f2002,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2001]) ).

fof(f2001,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_12 ),
    inference(global_subsumption,[],[f1814,f1,f2,f12,f3,f33,f21,f14,f9,f15,f200,f202,f27,f208,f214,f216,f61,f392,f395,f404,f35,f418,f400,f32,f31,f20,f8,f26,f416,f617,f615,f391,f644,f647,f401,f651,f652,f654,f655,f648,f660,f661,f649,f657,f650,f4,f634,f747,f636,f793,f792,f798,f796,f799,f801,f745,f827,f829,f791,f856,f857,f851,f872,f871,f1067,f1007,f1163,f1188,f1546,f7,f1377,f25,f1066,f1818,f19,f1819,f1625,f1820,f13,f1821,f28,f22,f16,f1824,f10,f11,f1826,f23,f29,f5,f17,f1830,f30,f18,f1832,f6,f24,f39,f618,f42,f1960,f1831,f1965,f1828,f1974,f1981,f1984]) ).

fof(f1814,plain,
    ( sk_c7 = inverse(sk_c2)
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(global_subsumption,[],[f1546,f1,f2,f12,f3,f33,f21,f14,f11,f9,f15,f27,f61,f392,f395,f404,f24,f6,f18,f30,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f608,f614,f612,f607,f631,f625,f391,f644,f627,f702,f703,f705,f706,f699,f711,f712,f700,f708,f701,f4,f640,f753,f642,f815,f818,f816,f823,f821,f824,f826,f751,f833,f835,f10,f16,f22,f28,f13,f19,f25,f7,f212]) ).

fof(f2000,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1999]) ).

fof(f1999,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_12 ),
    inference(global_subsumption,[],[f1817,f1,f2,f12,f3,f33,f21,f14,f9,f15,f200,f202,f27,f208,f214,f216,f61,f392,f395,f404,f35,f418,f400,f32,f31,f20,f8,f26,f416,f617,f615,f391,f644,f647,f401,f651,f652,f654,f655,f648,f660,f661,f649,f657,f650,f4,f634,f747,f636,f793,f792,f798,f796,f799,f801,f745,f827,f829,f791,f856,f857,f851,f872,f871,f1067,f1007,f1163,f1188,f1546,f7,f1377,f25,f1066,f1818,f19,f1819,f1625,f1820,f13,f1821,f28,f22,f16,f1824,f10,f11,f1826,f23,f29,f5,f17,f1830,f30,f18,f1832,f6,f24,f39,f618,f42,f1960,f1831,f1965,f1828,f1974,f1981,f1984]) ).

fof(f1998,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1997]) ).

fof(f1997,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_12 ),
    inference(global_subsumption,[],[f1827,f1,f2,f12,f3,f33,f21,f14,f9,f15,f200,f202,f27,f208,f214,f216,f61,f392,f395,f404,f35,f418,f400,f32,f31,f20,f8,f26,f416,f617,f615,f391,f644,f647,f401,f651,f652,f654,f655,f648,f660,f661,f649,f657,f650,f4,f634,f747,f636,f793,f792,f798,f796,f799,f801,f745,f827,f829,f791,f856,f857,f851,f872,f871,f1067,f1007,f1163,f1188,f1546,f7,f1377,f25,f1066,f1818,f19,f1819,f1625,f1820,f13,f1821,f28,f22,f16,f1824,f10,f11,f1826,f23,f29,f5,f17,f1830,f30,f18,f1832,f6,f24,f39,f618,f42,f1960,f1831,f1965,f1828,f1974,f1981,f1984]) ).

fof(f1996,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1995]) ).

fof(f1995,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_12 ),
    inference(global_subsumption,[],[f1834,f1,f2,f12,f3,f33,f21,f14,f9,f15,f200,f202,f27,f208,f214,f216,f61,f392,f395,f404,f35,f418,f400,f32,f31,f20,f8,f26,f416,f617,f615,f391,f644,f647,f401,f651,f652,f654,f655,f648,f660,f661,f649,f657,f650,f4,f634,f747,f636,f793,f792,f798,f796,f799,f801,f745,f827,f829,f791,f856,f857,f851,f872,f871,f1067,f1007,f1163,f1188,f1546,f7,f1377,f25,f1066,f1818,f19,f1819,f1625,f1820,f13,f1821,f28,f22,f16,f1824,f10,f11,f1826,f23,f29,f5,f17,f1830,f30,f18,f1832,f6,f24,f39,f618,f42,f1960,f1831,f1965,f1828,f1974,f1981,f1984]) ).

fof(f1994,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1993]) ).

fof(f1993,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | spl0_12 ),
    inference(global_subsumption,[],[f726,f1,f2,f12,f3,f33,f21,f14,f9,f15,f200,f202,f27,f208,f214,f216,f61,f392,f395,f404,f35,f418,f400,f32,f31,f20,f8,f26,f416,f617,f615,f391,f644,f647,f401,f651,f652,f654,f655,f648,f660,f661,f649,f657,f650,f4,f634,f747,f636,f793,f792,f798,f796,f799,f801,f745,f827,f829,f791,f856,f857,f851,f872,f871,f1067,f1007,f1163,f1188,f1546,f7,f1377,f25,f1066,f1818,f19,f1819,f1625,f1820,f13,f1821,f28,f22,f16,f1824,f10,f11,f1826,f23,f29,f5,f17,f1830,f30,f18,f1832,f6,f24,f39,f618,f42,f1960,f1831,f1965,f1828,f1974,f1981,f1984]) ).

fof(f1992,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_10
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1991]) ).

fof(f1991,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_10
    | spl0_12 ),
    inference(global_subsumption,[],[f730,f1,f2,f12,f3,f33,f21,f14,f9,f15,f200,f202,f27,f208,f214,f216,f61,f392,f395,f404,f35,f418,f400,f32,f31,f20,f8,f26,f416,f617,f615,f391,f644,f647,f401,f651,f652,f654,f655,f648,f660,f661,f649,f657,f650,f4,f634,f747,f636,f793,f792,f798,f796,f799,f801,f745,f827,f829,f791,f856,f857,f851,f872,f871,f1067,f1007,f1163,f1188,f1546,f7,f1377,f25,f1066,f1818,f19,f1819,f1625,f1820,f13,f1821,f28,f22,f16,f1824,f10,f11,f1826,f23,f29,f5,f17,f1830,f30,f18,f1832,f6,f24,f39,f618,f42,f1960,f1831,f1965,f1828,f1974,f1981,f1984]) ).

fof(f1990,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1989]) ).

fof(f1989,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | spl0_12 ),
    inference(global_subsumption,[],[f1815,f1,f2,f12,f3,f33,f21,f14,f9,f15,f200,f202,f27,f208,f214,f216,f61,f392,f395,f404,f35,f418,f400,f32,f31,f20,f8,f26,f416,f617,f615,f391,f644,f647,f401,f651,f652,f654,f655,f648,f660,f661,f649,f657,f650,f4,f634,f747,f636,f793,f792,f798,f796,f799,f801,f745,f827,f829,f791,f856,f857,f851,f872,f871,f1067,f1007,f1163,f1188,f1546,f7,f1377,f25,f1066,f1818,f19,f1819,f1625,f1820,f13,f1821,f28,f22,f16,f1824,f10,f11,f1826,f23,f29,f5,f17,f1830,f30,f18,f1832,f6,f24,f39,f618,f42,f1960,f1831,f1965,f1828,f1974,f1981,f1984]) ).

fof(f1988,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1987]) ).

fof(f1987,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | spl0_12 ),
    inference(global_subsumption,[],[f1816,f1,f2,f12,f3,f33,f21,f14,f9,f15,f200,f202,f27,f208,f214,f216,f61,f392,f395,f404,f35,f418,f400,f32,f31,f20,f8,f26,f416,f617,f615,f391,f644,f647,f401,f651,f652,f654,f655,f648,f660,f661,f649,f657,f650,f4,f634,f747,f636,f793,f792,f798,f796,f799,f801,f745,f827,f829,f791,f856,f857,f851,f872,f871,f1067,f1007,f1163,f1188,f1546,f7,f1377,f25,f1066,f1818,f19,f1819,f1625,f1820,f13,f1821,f28,f22,f16,f1824,f10,f11,f1826,f23,f29,f5,f17,f1830,f30,f18,f1832,f6,f24,f39,f618,f42,f1960,f1831,f1965,f1828,f1974,f1981,f1984]) ).

fof(f1816,plain,
    ( multiply(sk_c7,sk_c8) = sk_c6
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f1377,f1,f2,f12,f3,f33,f21,f14,f11,f9,f15,f27,f61,f392,f395,f404,f24,f6,f18,f30,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f391,f644,f4,f733,f742,f741,f744,f743,f755,f734,f762,f754,f836,f837,f10,f16,f22,f28,f13,f19,f726,f25,f7,f1815]) ).

fof(f1986,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1985]) ).

fof(f1985,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f33,f21,f14,f9,f15,f200,f202,f27,f208,f214,f216,f61,f392,f395,f404,f35,f418,f400,f32,f31,f20,f8,f26,f416,f617,f615,f391,f644,f647,f401,f651,f652,f654,f655,f648,f660,f661,f649,f657,f650,f4,f634,f747,f636,f793,f792,f798,f796,f799,f801,f745,f827,f829,f791,f856,f857,f851,f872,f871,f1067,f1007,f1163,f1188,f1546,f7,f1377,f25,f1066,f1818,f19,f1819,f1625,f1820,f13,f1821,f28,f22,f16,f1824,f10,f11,f1826,f23,f29,f5,f17,f1830,f30,f18,f1832,f6,f24,f39,f618,f42,f1960,f1831,f1965,f1828,f1974,f1981,f1984]) ).

fof(f1983,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1982]) ).

fof(f1982,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f33,f21,f14,f9,f15,f200,f202,f27,f208,f214,f216,f61,f392,f395,f404,f35,f418,f400,f32,f31,f20,f8,f26,f416,f617,f615,f391,f644,f647,f401,f651,f652,f654,f655,f648,f660,f661,f649,f657,f650,f4,f634,f747,f636,f793,f792,f798,f796,f799,f801,f745,f827,f829,f791,f856,f857,f851,f872,f871,f1067,f1007,f1163,f1188,f1546,f7,f1377,f25,f1066,f1818,f19,f1819,f1625,f1820,f13,f1821,f28,f22,f16,f1824,f10,f11,f1826,f23,f29,f5,f17,f1830,f30,f18,f1832,f6,f24,f39,f618,f42,f1960,f1831,f1965,f1828,f1974,f1981]) ).

fof(f1980,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_10
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1979]) ).

fof(f1979,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_10
    | spl0_12 ),
    inference(global_subsumption,[],[f1822,f1,f2,f12,f3,f33,f21,f14,f9,f15,f200,f202,f27,f208,f214,f216,f61,f392,f395,f404,f35,f418,f400,f32,f31,f20,f8,f26,f416,f617,f615,f391,f644,f647,f401,f651,f652,f654,f655,f648,f660,f661,f649,f657,f650,f4,f634,f747,f636,f793,f792,f798,f796,f799,f801,f745,f827,f829,f791,f856,f857,f851,f872,f871,f1067,f1007,f1163,f1188,f1546,f7,f1377,f25,f1066,f1818,f19,f1819,f1625,f1820,f13,f1821,f28,f22,f16,f1824,f10,f11,f1826,f23,f29,f5,f17,f1830,f30,f18,f1832,f6,f24,f39,f618,f42,f1960,f1831,f1965,f1828,f1974]) ).

fof(f1822,plain,
    ( sk_c7 = multiply(sk_c8,sk_c6)
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f33,f21,f14,f11,f9,f15,f27,f61,f392,f395,f404,f24,f6,f18,f30,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f391,f644,f4,f1167,f730,f10,f16,f22,f7,f25,f19,f13,f28]) ).

fof(f1167,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c6,X0))
    | ~ spl0_10 ),
    inference(superposition,[],[f3,f730]) ).

fof(f1978,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_10
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1977]) ).

fof(f1977,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_10
    | spl0_12 ),
    inference(global_subsumption,[],[f1823,f1,f2,f12,f3,f33,f21,f14,f9,f15,f200,f202,f27,f208,f214,f216,f61,f392,f395,f404,f35,f418,f400,f32,f31,f20,f8,f26,f416,f617,f615,f391,f644,f647,f401,f651,f652,f654,f655,f648,f660,f661,f649,f657,f650,f4,f634,f747,f636,f793,f792,f798,f796,f799,f801,f745,f827,f829,f791,f856,f857,f851,f872,f871,f1067,f1007,f1163,f1188,f1546,f7,f1377,f25,f1066,f1818,f19,f1819,f1625,f1820,f13,f1821,f28,f22,f16,f1824,f10,f11,f1826,f23,f29,f5,f17,f1830,f30,f18,f1832,f6,f24,f39,f618,f42,f1960,f1831,f1965,f1828,f1974]) ).

fof(f1823,plain,
    ( sk_c7 = multiply(sk_c8,sk_c6)
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f33,f21,f14,f11,f9,f15,f27,f61,f392,f395,f404,f24,f6,f18,f30,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f391,f644,f4,f1167,f730,f10,f16,f7,f25,f19,f13,f28,f1822,f22]) ).

fof(f1976,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1975]) ).

fof(f1975,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f33,f21,f14,f9,f15,f200,f202,f27,f208,f214,f216,f61,f392,f395,f404,f35,f418,f400,f32,f31,f20,f8,f26,f416,f617,f615,f391,f644,f647,f401,f651,f652,f654,f655,f648,f660,f661,f649,f657,f650,f4,f634,f747,f636,f793,f792,f798,f796,f799,f801,f745,f827,f829,f791,f856,f857,f851,f872,f871,f1067,f1007,f1163,f1188,f1546,f7,f1377,f25,f1066,f1818,f19,f1819,f1625,f1820,f13,f1821,f28,f22,f16,f1824,f10,f11,f1826,f23,f29,f5,f17,f1830,f30,f18,f1832,f6,f24,f39,f618,f42,f1960,f1831,f1965,f1828,f1974]) ).

fof(f1973,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_10
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1972]) ).

fof(f1972,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_10
    | spl0_12 ),
    inference(global_subsumption,[],[f1825,f1,f2,f12,f3,f33,f21,f14,f9,f15,f200,f202,f27,f208,f214,f216,f61,f392,f395,f404,f35,f418,f400,f32,f31,f20,f8,f26,f416,f617,f615,f391,f644,f647,f401,f651,f652,f654,f655,f648,f660,f661,f649,f657,f650,f4,f634,f747,f636,f793,f792,f798,f796,f799,f801,f745,f827,f829,f791,f856,f857,f851,f872,f871,f1067,f1007,f1163,f1188,f1546,f7,f1377,f25,f1066,f1818,f19,f1819,f1625,f1820,f13,f1821,f28,f22,f16,f1824,f10,f11,f1826,f23,f29,f5,f17,f1830,f30,f18,f1832,f6,f24,f39,f618,f42,f1960,f1831,f1965,f1828]) ).

fof(f1825,plain,
    ( sk_c7 = multiply(sk_c8,sk_c6)
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f33,f21,f14,f11,f9,f15,f27,f61,f392,f395,f404,f24,f6,f18,f30,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f391,f644,f4,f1167,f730,f7,f25,f19,f13,f28,f1822,f22,f1823,f16,f10]) ).

fof(f1971,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1970]) ).

fof(f1970,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f33,f21,f14,f9,f15,f200,f202,f27,f208,f214,f216,f61,f392,f395,f404,f35,f418,f400,f32,f31,f20,f8,f26,f416,f617,f615,f391,f644,f647,f401,f651,f652,f654,f655,f648,f660,f661,f649,f657,f650,f4,f634,f747,f636,f793,f792,f798,f796,f799,f801,f745,f827,f829,f791,f856,f857,f851,f872,f871,f1067,f1007,f1163,f1188,f1546,f7,f1377,f25,f1066,f1818,f19,f1819,f1625,f1820,f13,f1821,f28,f22,f16,f1824,f10,f11,f1826,f23,f29,f5,f17,f1830,f30,f18,f1832,f6,f24,f39,f618,f42,f1960,f1831,f1965,f1828]) ).

fof(f1969,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1968]) ).

fof(f1968,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | spl0_12 ),
    inference(global_subsumption,[],[f1829,f1,f2,f12,f3,f33,f21,f14,f9,f15,f200,f202,f27,f208,f214,f216,f61,f392,f395,f404,f35,f418,f400,f32,f31,f20,f8,f26,f416,f617,f615,f391,f644,f647,f401,f651,f652,f654,f655,f648,f660,f661,f649,f657,f650,f4,f634,f747,f636,f793,f792,f798,f796,f799,f801,f745,f827,f829,f791,f856,f857,f851,f872,f871,f1067,f1007,f1163,f1188,f1546,f7,f1377,f25,f1066,f1818,f19,f1819,f1625,f1820,f13,f1821,f28,f22,f16,f1824,f10,f11,f1826,f23,f29,f1828,f5,f17,f1830,f30,f18,f1832,f6,f24,f39,f618,f42,f1960,f1831,f1965]) ).

fof(f1967,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1966]) ).

fof(f1966,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f33,f21,f14,f9,f15,f200,f202,f27,f208,f214,f216,f61,f392,f395,f404,f35,f418,f400,f32,f31,f20,f8,f26,f416,f617,f615,f391,f644,f647,f401,f651,f652,f654,f655,f648,f660,f661,f649,f657,f650,f4,f634,f747,f636,f793,f792,f798,f796,f799,f801,f745,f827,f829,f791,f856,f857,f851,f872,f871,f1067,f1007,f1163,f1188,f1546,f7,f1377,f25,f1066,f1818,f19,f1819,f1625,f1820,f13,f1821,f28,f22,f16,f1824,f10,f11,f1826,f23,f29,f1828,f5,f17,f1830,f30,f18,f1832,f6,f24,f39,f618,f42,f1960,f1831,f1965]) ).

fof(f1964,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1963]) ).

fof(f1963,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f33,f21,f14,f9,f15,f200,f202,f27,f208,f214,f216,f61,f392,f395,f404,f35,f418,f400,f32,f31,f20,f8,f26,f416,f617,f615,f391,f644,f647,f401,f651,f652,f654,f655,f648,f660,f661,f649,f657,f650,f4,f634,f747,f636,f793,f792,f798,f796,f799,f801,f745,f827,f829,f791,f856,f857,f851,f872,f871,f1067,f1007,f1163,f1188,f1546,f7,f1377,f25,f1066,f1818,f19,f1819,f1625,f1820,f13,f1821,f28,f22,f16,f1824,f10,f11,f1826,f23,f29,f1828,f5,f17,f1830,f30,f18,f1832,f6,f24,f39,f618,f42,f1960,f1831]) ).

fof(f1962,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1961]) ).

fof(f1961,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f33,f21,f14,f9,f15,f200,f202,f27,f208,f214,f216,f61,f392,f395,f404,f35,f418,f400,f32,f31,f20,f8,f26,f416,f617,f615,f391,f644,f647,f401,f651,f652,f654,f655,f648,f660,f661,f649,f657,f650,f4,f634,f747,f636,f793,f792,f798,f796,f799,f801,f745,f827,f829,f791,f856,f857,f851,f872,f871,f1067,f1007,f1163,f1188,f1546,f7,f1377,f25,f1066,f1818,f19,f1819,f1625,f1820,f13,f1821,f28,f22,f16,f1824,f10,f11,f1826,f23,f29,f1828,f5,f17,f1830,f30,f1831,f18,f1832,f6,f24,f39,f618,f42,f1960]) ).

fof(f1958,plain,
    ( spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1957]) ).

fof(f1957,plain,
    ( $false
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1956,f1184]) ).

fof(f1956,plain,
    ( identity = sk_c8
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1950,f2]) ).

fof(f1950,plain,
    ( sk_c8 = multiply(inverse(identity),identity)
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(superposition,[],[f61,f1927]) ).

fof(f1927,plain,
    ( identity = multiply(identity,sk_c8)
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1926,f1214]) ).

fof(f1926,plain,
    ( sk_c7 = multiply(identity,sk_c8)
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1925,f1247]) ).

fof(f1925,plain,
    ( sk_c7 = multiply(sk_c2,sk_c8)
    | spl0_2
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1828,f1191]) ).

fof(f1955,plain,
    ( spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1954]) ).

fof(f1954,plain,
    ( $false
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1949,f1184]) ).

fof(f1949,plain,
    ( identity = sk_c8
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(superposition,[],[f1,f1927]) ).

fof(f1953,plain,
    ( spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1952]) ).

fof(f1952,plain,
    ( $false
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1948,f1184]) ).

fof(f1948,plain,
    ( identity = sk_c8
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(superposition,[],[f1927,f1]) ).

fof(f1813,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1812]) ).

fof(f1812,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_11 ),
    inference(global_subsumption,[],[f212,f1,f2,f12,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f64,f66,f69,f65,f87,f76,f90,f77,f91,f99,f78,f101,f85,f103,f86,f104,f88,f106,f74,f82,f121,f122,f123,f124,f126,f120,f128,f132,f133,f127,f136,f137,f143,f144,f145,f146,f147,f172,f181,f33,f21,f14,f11,f9,f15,f27,f61,f392,f395,f404,f24,f601,f6,f602,f18,f603,f30,f604,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f43,f606,f611,f609,f605,f628,f622,f391,f644,f624,f678,f679,f681,f682,f675,f687,f688,f676,f684,f677,f4,f637,f750,f639,f805,f804,f810,f808,f811,f813,f748,f830,f832,f803,f896,f897,f891,f925,f924,f139,f138,f80,f10,f16,f22,f28,f38,f158,f72,f140,f1620,f13,f951,f19,f1552,f25,f1525,f7,f1383,f1184]) ).

fof(f1383,plain,
    ( identity = sk_c8
    | multiply(sk_c7,sk_c8) = sk_c6
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f5,f675]) ).

fof(f1525,plain,
    ( identity = sk_c8
    | sk_c7 = multiply(sk_c2,sk_c6)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f29,f675]) ).

fof(f1552,plain,
    ( identity = sk_c8
    | sk_c7 = inverse(sk_c2)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f23,f675]) ).

fof(f951,plain,
    ( identity = sk_c8
    | sk_c8 = multiply(sk_c1,sk_c7)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f17,f675]) ).

fof(f1620,plain,
    ( identity = sk_c8
    | sk_c8 = inverse(sk_c1)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f11,f675]) ).

fof(f138,plain,
    ( sk_c7 = sk_c6
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f127,f77]) ).

fof(f924,plain,
    ( sk_c3 = inverse(sk_c4)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f921,f676]) ).

fof(f921,plain,
    ( multiply(sk_c3,identity) = inverse(sk_c4)
    | ~ spl0_2 ),
    inference(superposition,[],[f677,f891]) ).

fof(f925,plain,
    ( sk_c3 = inverse(sk_c4)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f922,f609]) ).

fof(f922,plain,
    ( inverse(sk_c4) = multiply(inverse(sk_c4),identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f61,f891]) ).

fof(f891,plain,
    ( identity = multiply(sk_c4,inverse(sk_c4))
    | ~ spl0_2 ),
    inference(superposition,[],[f803,f2]) ).

fof(f897,plain,
    ( ! [X0] : multiply(inverse(inverse(inverse(sk_c4))),multiply(sk_c4,X0)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f61,f803]) ).

fof(f896,plain,
    ( identity = multiply(sk_c4,inverse(sk_c4))
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f803]) ).

fof(f803,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(inverse(sk_c4)),X0)
    | ~ spl0_2 ),
    inference(superposition,[],[f639,f677]) ).

fof(f832,plain,
    ( ! [X0] : multiply(inverse(inverse(inverse(inverse(sk_c4)))),multiply(sk_c3,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f831,f1]) ).

fof(f831,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(inverse(inverse(sk_c4)))),multiply(sk_c3,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f748]) ).

fof(f830,plain,
    ( sk_c3 = multiply(inverse(inverse(inverse(inverse(inverse(sk_c4))))),identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f61,f748]) ).

fof(f748,plain,
    ( identity = multiply(inverse(inverse(inverse(inverse(sk_c4)))),sk_c3)
    | ~ spl0_2 ),
    inference(superposition,[],[f61,f637]) ).

fof(f813,plain,
    ( ! [X0] : multiply(inverse(inverse(inverse(sk_c4))),multiply(sk_c4,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f812,f1]) ).

fof(f812,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(inverse(sk_c4))),multiply(sk_c4,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f808]) ).

fof(f811,plain,
    ( sk_c4 = multiply(inverse(inverse(inverse(inverse(sk_c4)))),identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f61,f808]) ).

fof(f808,plain,
    ( identity = multiply(inverse(inverse(inverse(sk_c4))),sk_c4)
    | ~ spl0_2 ),
    inference(superposition,[],[f61,f804]) ).

fof(f810,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(inverse(sk_c4)),X0)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f809,f1]) ).

fof(f809,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(inverse(sk_c4)),multiply(identity,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f804]) ).

fof(f804,plain,
    ( sk_c4 = multiply(inverse(inverse(sk_c4)),identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f639,f675]) ).

fof(f805,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(inverse(inverse(sk_c4))),X0)
    | ~ spl0_2 ),
    inference(superposition,[],[f61,f639]) ).

fof(f639,plain,
    ( ! [X0] : multiply(inverse(inverse(sk_c4)),multiply(sk_c3,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f638,f1]) ).

fof(f638,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(sk_c4)),multiply(sk_c3,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f622]) ).

fof(f750,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(inverse(inverse(sk_c4))),X0)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f749,f1]) ).

fof(f749,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(inverse(inverse(sk_c4))),multiply(identity,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f637]) ).

fof(f637,plain,
    ( sk_c3 = multiply(inverse(inverse(inverse(sk_c4))),identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f61,f622]) ).

fof(f677,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c4,X0)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f624,f61]) ).

fof(f684,plain,
    ( sk_c4 = multiply(sk_c4,identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f605,f675]) ).

fof(f676,plain,
    ( sk_c3 = multiply(sk_c3,identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f624,f609]) ).

fof(f688,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c4,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f686,f1]) ).

fof(f686,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c3,multiply(sk_c4,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f675]) ).

fof(f687,plain,
    ( sk_c4 = multiply(sk_c4,identity)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f685,f43]) ).

fof(f685,plain,
    ( sk_c4 = multiply(inverse(sk_c3),identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f61,f675]) ).

fof(f675,plain,
    ( identity = multiply(sk_c3,sk_c4)
    | ~ spl0_2 ),
    inference(superposition,[],[f624,f2]) ).

fof(f682,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c4,X0)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f61,f624]) ).

fof(f681,plain,
    ( sk_c3 = multiply(sk_c3,identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f609,f624]) ).

fof(f679,plain,
    ( ! [X0] : multiply(inverse(inverse(sk_c4)),multiply(sk_c3,X0)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f61,f624]) ).

fof(f678,plain,
    ( identity = multiply(sk_c3,sk_c4)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f624]) ).

fof(f624,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(sk_c4),X0)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f623,f1]) ).

fof(f623,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(sk_c4),multiply(identity,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f609]) ).

fof(f622,plain,
    ( identity = multiply(inverse(inverse(sk_c4)),sk_c3)
    | ~ spl0_2 ),
    inference(superposition,[],[f61,f609]) ).

fof(f628,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(sk_c4),X0)
    | ~ spl0_2 ),
    inference(superposition,[],[f61,f605]) ).

fof(f605,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c3,X0)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f61,f43]) ).

fof(f609,plain,
    ( sk_c3 = multiply(inverse(sk_c4),identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f61,f606]) ).

fof(f611,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c3,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f610,f1]) ).

fof(f610,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c4,multiply(sk_c3,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f606]) ).

fof(f606,plain,
    ( identity = multiply(sk_c4,sk_c3)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f43]) ).

fof(f604,plain,
    ( sk_c4 = inverse(sk_c3)
    | ~ spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f12,f43,f45,f3,f64,f35,f32,f31,f29,f28,f20,f19,f17,f16,f8,f7,f5,f4,f33,f26,f25,f23,f22,f21,f14,f13,f11,f10,f9,f15,f27,f61,f392,f395,f404,f391,f24,f601,f6,f602,f18,f603,f30]) ).

fof(f603,plain,
    ( sk_c4 = inverse(sk_c3)
    | ~ spl0_2 ),
    inference(global_subsumption,[],[f30,f1,f2,f12,f43,f45,f3,f64,f35,f32,f31,f29,f28,f20,f19,f17,f16,f8,f7,f5,f4,f33,f26,f25,f23,f22,f21,f14,f13,f11,f10,f9,f15,f27,f61,f392,f395,f404,f391,f24,f601,f6,f602,f18]) ).

fof(f602,plain,
    ( sk_c4 = inverse(sk_c3)
    | ~ spl0_2 ),
    inference(global_subsumption,[],[f30,f18,f1,f2,f12,f43,f45,f3,f64,f35,f32,f31,f29,f28,f20,f19,f17,f16,f8,f7,f5,f4,f33,f26,f25,f23,f22,f21,f14,f13,f11,f10,f9,f15,f27,f61,f392,f395,f404,f391,f24,f601,f6]) ).

fof(f601,plain,
    ( sk_c4 = inverse(sk_c3)
    | ~ spl0_2 ),
    inference(global_subsumption,[],[f30,f18,f6,f1,f2,f12,f43,f45,f3,f64,f35,f32,f31,f29,f28,f20,f19,f17,f16,f8,f7,f5,f4,f33,f26,f25,f23,f22,f21,f14,f13,f11,f10,f9,f15,f27,f61,f392,f395,f404,f391,f24]) ).

fof(f181,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != multiply(X5,inverse(X5))
        | sk_c7 != multiply(inverse(X5),sk_c7)
        | sk_c7 != multiply(X3,sk_c7)
        | sk_c7 != multiply(X7,sk_c7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X7)
        | sk_c7 != inverse(X4)
        | sk_c7 != multiply(X4,sk_c7) )
    | spl0_1
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f123,f138]) ).

fof(f172,plain,
    ( sk_c7 = inverse(identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f165,f72]) ).

fof(f165,plain,
    ( sk_c8 = inverse(identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f46,f140]) ).

fof(f147,plain,
    ( identity = sk_c5
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f78,f127]) ).

fof(f146,plain,
    ( identity = sk_c3
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f85,f127]) ).

fof(f145,plain,
    ( sk_c7 = sk_c6
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f77,f127]) ).

fof(f144,plain,
    ( ! [X0] : multiply(sk_c3,X0) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f82,f127]) ).

fof(f143,plain,
    ( ! [X0] : multiply(sk_c5,X0) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f74,f127]) ).

fof(f137,plain,
    ( ! [X0] : multiply(sk_c3,X0) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f127,f82]) ).

fof(f136,plain,
    ( ! [X0] : multiply(sk_c5,X0) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f127,f74]) ).

fof(f133,plain,
    ( identity = multiply(sk_c7,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f120,f78]) ).

fof(f132,plain,
    ( identity = multiply(sk_c7,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f120,f85]) ).

fof(f128,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f120,f82]) ).

fof(f126,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c7,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f125,f72]) ).

fof(f125,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c3,multiply(sk_c7,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f59,f80]) ).

fof(f123,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != sk_c6
        | sk_c7 != multiply(X5,inverse(X5))
        | sk_c7 != multiply(inverse(X5),sk_c7)
        | sk_c7 != multiply(X3,sk_c7)
        | sk_c7 != multiply(X7,sk_c7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X7)
        | sk_c7 != inverse(X4)
        | sk_c7 != multiply(X4,sk_c7) )
    | spl0_1
    | ~ spl0_2 ),
    inference(inner_rewriting,[],[f122]) ).

fof(f122,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != sk_c6
        | sk_c7 != multiply(X5,inverse(X5))
        | sk_c7 != multiply(inverse(X5),sk_c7)
        | sk_c7 != multiply(X3,sk_c7)
        | sk_c6 != multiply(X7,sk_c7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X7)
        | sk_c7 != inverse(X4)
        | sk_c7 != multiply(X4,sk_c6) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f99,f86]) ).

fof(f82,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f64,f80]) ).

fof(f106,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c7,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f88]) ).

fof(f88,plain,
    ( sk_c7 = multiply(sk_c3,sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f84,f72]) ).

fof(f84,plain,
    ( sk_c8 = multiply(sk_c3,sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f49,f80]) ).

fof(f104,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c7,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f86]) ).

fof(f86,plain,
    ( sk_c7 = multiply(sk_c7,sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f81,f72]) ).

fof(f81,plain,
    ( sk_c7 = multiply(sk_c7,sk_c8)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f66,f80]) ).

fof(f103,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f102,f1]) ).

fof(f102,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c3,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f85]) ).

fof(f87,plain,
    ( sk_c7 = multiply(sk_c7,sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f83,f72]) ).

fof(f83,plain,
    ( sk_c8 = multiply(sk_c7,sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f50,f80]) ).

fof(f69,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c4,multiply(sk_c8,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f66]) ).

fof(f1811,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1810]) ).

fof(f1810,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_11 ),
    inference(global_subsumption,[],[f732,f1,f2,f12,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f64,f66,f69,f65,f87,f76,f90,f77,f91,f99,f78,f101,f85,f103,f86,f104,f88,f106,f74,f82,f121,f122,f123,f124,f126,f120,f128,f132,f133,f127,f136,f137,f143,f144,f145,f146,f147,f172,f181,f33,f21,f14,f11,f9,f15,f27,f61,f392,f395,f404,f24,f601,f6,f602,f18,f603,f30,f604,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f43,f606,f611,f609,f605,f628,f622,f391,f644,f624,f678,f679,f681,f682,f675,f687,f688,f676,f684,f677,f4,f637,f750,f639,f805,f804,f810,f808,f811,f813,f748,f830,f832,f803,f896,f897,f891,f925,f924,f139,f138,f80,f10,f16,f22,f28,f38,f158,f72,f140,f1620,f13,f951,f19,f1552,f25,f1525,f7,f1383,f1184]) ).

fof(f1809,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1808]) ).

fof(f1808,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_11 ),
    inference(global_subsumption,[],[f766,f1,f2,f12,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f64,f66,f69,f65,f87,f76,f90,f77,f91,f99,f78,f101,f85,f103,f86,f104,f88,f106,f74,f82,f121,f122,f123,f124,f126,f120,f128,f132,f133,f127,f136,f137,f143,f144,f145,f146,f147,f172,f181,f33,f21,f14,f11,f9,f15,f27,f61,f392,f395,f404,f24,f601,f6,f602,f18,f603,f30,f604,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f43,f606,f611,f609,f605,f628,f622,f391,f644,f624,f678,f679,f681,f682,f675,f687,f688,f676,f684,f677,f4,f637,f750,f639,f805,f804,f810,f808,f811,f813,f748,f830,f832,f803,f896,f897,f891,f925,f924,f139,f138,f80,f10,f16,f22,f28,f38,f158,f72,f140,f1620,f13,f951,f19,f1552,f25,f1525,f7,f1383,f1184]) ).

fof(f1807,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1806]) ).

fof(f1806,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_11 ),
    inference(global_subsumption,[],[f1576,f1,f2,f12,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f64,f66,f69,f65,f87,f76,f90,f77,f91,f99,f78,f101,f85,f103,f86,f104,f88,f106,f74,f82,f121,f122,f123,f124,f126,f120,f128,f132,f133,f127,f136,f137,f143,f144,f145,f146,f147,f172,f181,f33,f21,f14,f11,f9,f15,f27,f61,f392,f395,f404,f24,f601,f6,f602,f18,f603,f30,f604,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f43,f606,f611,f609,f605,f628,f622,f391,f644,f624,f678,f679,f681,f682,f675,f687,f688,f676,f684,f677,f4,f637,f750,f639,f805,f804,f810,f808,f811,f813,f748,f830,f832,f803,f896,f897,f891,f925,f924,f139,f138,f80,f10,f16,f22,f28,f38,f158,f72,f140,f1620,f13,f951,f19,f1552,f25,f1525,f7,f1383,f1184]) ).

fof(f1805,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1804]) ).

fof(f1804,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_11 ),
    inference(global_subsumption,[],[f1546,f1,f2,f12,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f64,f66,f69,f65,f87,f76,f90,f77,f91,f99,f78,f101,f85,f103,f86,f104,f88,f106,f74,f82,f121,f122,f123,f124,f126,f120,f128,f132,f133,f127,f136,f137,f143,f144,f145,f146,f147,f172,f181,f33,f21,f14,f11,f9,f15,f27,f61,f392,f395,f404,f24,f601,f6,f602,f18,f603,f30,f604,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f43,f606,f611,f609,f605,f628,f622,f391,f644,f624,f678,f679,f681,f682,f675,f687,f688,f676,f684,f677,f4,f637,f750,f639,f805,f804,f810,f808,f811,f813,f748,f830,f832,f803,f896,f897,f891,f925,f924,f139,f138,f80,f10,f16,f22,f28,f38,f158,f72,f140,f1620,f13,f951,f19,f1552,f25,f1525,f7,f1383,f1184]) ).

fof(f1803,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1802]) ).

fof(f1802,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f12,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f64,f66,f69,f65,f87,f76,f90,f77,f91,f99,f78,f101,f85,f103,f86,f104,f88,f106,f74,f82,f121,f122,f123,f124,f126,f120,f128,f132,f133,f127,f136,f137,f143,f144,f145,f146,f147,f172,f181,f33,f21,f14,f11,f9,f15,f27,f61,f392,f395,f404,f24,f601,f6,f602,f18,f603,f30,f604,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f43,f606,f611,f609,f605,f628,f622,f391,f644,f624,f678,f679,f681,f682,f675,f687,f688,f676,f684,f677,f4,f637,f750,f639,f805,f804,f810,f808,f811,f813,f748,f830,f832,f803,f896,f897,f891,f925,f924,f139,f138,f80,f10,f16,f22,f28,f38,f158,f72,f140,f1620,f13,f951,f19,f1552,f25,f1525,f7,f1383,f1184]) ).

fof(f1801,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1800]) ).

fof(f1800,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f12,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f64,f66,f69,f65,f87,f76,f90,f77,f91,f99,f78,f101,f85,f103,f86,f104,f88,f106,f74,f82,f121,f122,f123,f124,f126,f120,f128,f132,f133,f127,f136,f137,f143,f144,f145,f146,f147,f172,f181,f33,f21,f14,f11,f9,f15,f27,f61,f392,f395,f404,f24,f601,f6,f602,f18,f603,f30,f604,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f43,f606,f611,f609,f605,f628,f622,f391,f644,f624,f678,f679,f681,f682,f675,f687,f688,f676,f684,f677,f4,f637,f750,f639,f805,f804,f810,f808,f811,f813,f748,f830,f832,f803,f896,f897,f891,f925,f924,f139,f138,f80,f1184,f10,f16,f22,f28,f38,f158,f72,f140,f1620,f13,f951,f19,f1552,f25,f1525,f7,f1383]) ).

fof(f1799,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1798]) ).

fof(f1798,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f12,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f64,f66,f69,f65,f87,f76,f90,f77,f91,f99,f78,f101,f85,f103,f86,f104,f88,f106,f74,f82,f121,f122,f123,f124,f126,f120,f128,f132,f133,f127,f136,f137,f143,f144,f145,f146,f147,f172,f181,f33,f21,f14,f11,f9,f15,f27,f61,f392,f395,f404,f24,f601,f6,f602,f18,f603,f30,f604,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f43,f606,f611,f609,f605,f628,f622,f391,f644,f624,f678,f679,f681,f682,f675,f687,f688,f676,f684,f677,f4,f637,f750,f639,f805,f804,f810,f808,f811,f813,f748,f830,f832,f803,f896,f897,f891,f925,f924,f139,f138,f80,f1184,f1383,f10,f16,f22,f28,f38,f158,f72,f140,f1620,f13,f951,f19,f1552,f25,f1525,f7]) ).

fof(f1797,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1796]) ).

fof(f1796,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_11 ),
    inference(global_subsumption,[],[f1377,f1,f2,f12,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f64,f66,f69,f65,f87,f76,f90,f77,f91,f99,f78,f101,f85,f103,f86,f104,f88,f106,f74,f82,f121,f122,f123,f124,f126,f120,f128,f132,f133,f127,f136,f137,f143,f144,f145,f146,f147,f172,f181,f33,f21,f14,f11,f9,f15,f27,f61,f392,f395,f404,f24,f601,f6,f602,f18,f603,f30,f604,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f43,f606,f611,f609,f605,f628,f622,f391,f644,f624,f678,f679,f681,f682,f675,f687,f688,f676,f684,f677,f4,f637,f750,f639,f805,f804,f810,f808,f811,f813,f748,f830,f832,f803,f896,f897,f891,f925,f924,f139,f138,f80,f1184,f1383,f7,f10,f16,f22,f28,f38,f158,f72,f140,f1620,f13,f951,f19,f1552,f25,f1525]) ).

fof(f1795,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1794]) ).

fof(f1794,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f12,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f64,f66,f69,f65,f87,f76,f90,f77,f91,f99,f78,f101,f85,f103,f86,f104,f88,f106,f74,f82,f121,f122,f123,f124,f126,f120,f128,f132,f133,f127,f136,f137,f143,f144,f145,f146,f147,f172,f181,f33,f21,f14,f11,f9,f15,f27,f61,f392,f395,f404,f24,f601,f6,f602,f18,f603,f30,f604,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f43,f606,f611,f609,f605,f628,f622,f391,f644,f624,f678,f679,f681,f682,f675,f687,f688,f676,f684,f677,f4,f637,f750,f639,f805,f804,f810,f808,f811,f813,f748,f830,f832,f803,f896,f897,f891,f925,f924,f139,f138,f80,f1184,f1383,f7,f10,f16,f22,f28,f38,f158,f72,f140,f1620,f13,f951,f19,f1552,f25,f1525]) ).

fof(f1793,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1792]) ).

fof(f1792,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f1188,f1,f2,f12,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f64,f66,f69,f65,f87,f76,f90,f77,f91,f99,f78,f101,f85,f103,f86,f104,f88,f106,f74,f82,f121,f122,f123,f124,f126,f120,f128,f132,f133,f127,f136,f137,f143,f144,f145,f146,f147,f172,f181,f33,f21,f14,f11,f9,f15,f27,f61,f392,f395,f404,f24,f601,f6,f602,f18,f603,f30,f604,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f43,f606,f611,f609,f605,f628,f622,f391,f644,f624,f678,f679,f681,f682,f675,f687,f688,f676,f684,f677,f4,f637,f750,f639,f805,f804,f810,f808,f811,f813,f748,f830,f832,f803,f896,f897,f891,f925,f924,f139,f138,f80,f1184,f1383,f7,f1525,f10,f16,f22,f28,f38,f158,f72,f140,f1620,f13,f951,f19,f1552,f25]) ).

fof(f1791,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1790]) ).

fof(f1790,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f12,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f64,f66,f69,f65,f87,f76,f90,f77,f91,f99,f78,f101,f85,f103,f86,f104,f88,f106,f74,f82,f121,f122,f123,f124,f126,f120,f128,f132,f133,f127,f136,f137,f143,f144,f145,f146,f147,f172,f181,f33,f21,f14,f11,f9,f15,f27,f61,f392,f395,f404,f24,f601,f6,f602,f18,f603,f30,f604,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f43,f606,f611,f609,f605,f628,f622,f391,f644,f624,f678,f679,f681,f682,f675,f687,f688,f676,f684,f677,f4,f637,f750,f639,f805,f804,f810,f808,f811,f813,f748,f830,f832,f803,f896,f897,f891,f925,f924,f139,f138,f80,f1184,f1383,f7,f1525,f10,f16,f22,f28,f38,f158,f72,f140,f1620,f13,f951,f19,f1552,f25]) ).

fof(f1789,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1788]) ).

fof(f1788,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f12,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f64,f66,f69,f65,f87,f76,f90,f77,f91,f99,f78,f101,f85,f103,f86,f104,f88,f106,f74,f82,f121,f122,f123,f124,f126,f120,f128,f132,f133,f127,f136,f137,f143,f144,f145,f146,f147,f172,f181,f33,f21,f14,f11,f9,f15,f27,f61,f392,f395,f404,f24,f601,f6,f602,f18,f603,f30,f604,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f43,f606,f611,f609,f605,f628,f622,f391,f644,f624,f678,f679,f681,f682,f675,f687,f688,f676,f684,f677,f4,f637,f750,f639,f805,f804,f810,f808,f811,f813,f748,f830,f832,f803,f896,f897,f891,f925,f924,f139,f138,f80,f1184,f1383,f7,f1525,f25,f10,f16,f22,f28,f38,f158,f72,f140,f1620,f13,f951,f19,f1552]) ).

fof(f1787,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1786]) ).

fof(f1786,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_11 ),
    inference(global_subsumption,[],[f726,f1,f2,f12,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f64,f66,f69,f65,f87,f76,f90,f77,f91,f99,f78,f101,f85,f103,f86,f104,f88,f106,f74,f82,f121,f122,f123,f124,f126,f120,f128,f132,f133,f127,f136,f137,f143,f144,f145,f146,f147,f172,f181,f33,f21,f14,f11,f9,f15,f27,f61,f392,f395,f404,f24,f601,f6,f602,f18,f603,f30,f604,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f43,f606,f611,f609,f605,f628,f622,f391,f644,f624,f678,f679,f681,f682,f675,f687,f688,f676,f684,f677,f4,f637,f750,f639,f805,f804,f810,f808,f811,f813,f748,f830,f832,f803,f896,f897,f891,f925,f924,f139,f138,f80,f1184,f1383,f7,f1525,f25,f1552,f10,f16,f22,f28,f38,f158,f72,f140,f1620,f13,f951,f19]) ).

fof(f1785,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1784]) ).

fof(f1784,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_11 ),
    inference(global_subsumption,[],[f1066,f1,f2,f12,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f64,f66,f69,f65,f87,f76,f90,f77,f91,f99,f78,f101,f85,f103,f86,f104,f88,f106,f74,f82,f121,f122,f123,f124,f126,f120,f128,f132,f133,f127,f136,f137,f143,f144,f145,f146,f147,f172,f181,f33,f21,f14,f11,f9,f15,f27,f61,f392,f395,f404,f24,f601,f6,f602,f18,f603,f30,f604,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f43,f606,f611,f609,f605,f628,f622,f391,f644,f624,f678,f679,f681,f682,f675,f687,f688,f676,f684,f677,f4,f637,f750,f639,f805,f804,f810,f808,f811,f813,f748,f830,f832,f803,f896,f897,f891,f925,f924,f139,f138,f80,f1184,f1383,f7,f1525,f25,f1552,f10,f16,f22,f28,f38,f158,f72,f140,f1620,f13,f951,f19]) ).

fof(f1783,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1782]) ).

fof(f1782,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f12,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f64,f66,f69,f65,f87,f76,f90,f77,f91,f99,f78,f101,f85,f103,f86,f104,f88,f106,f74,f82,f121,f122,f123,f124,f126,f120,f128,f132,f133,f127,f136,f137,f143,f144,f145,f146,f147,f172,f181,f33,f21,f14,f11,f9,f15,f27,f61,f392,f395,f404,f24,f601,f6,f602,f18,f603,f30,f604,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f43,f606,f611,f609,f605,f628,f622,f391,f644,f624,f678,f679,f681,f682,f675,f687,f688,f676,f684,f677,f4,f637,f750,f639,f805,f804,f810,f808,f811,f813,f748,f830,f832,f803,f896,f897,f891,f925,f924,f139,f138,f80,f1184,f1383,f7,f1525,f25,f1552,f10,f16,f22,f28,f38,f158,f72,f140,f1620,f13,f951,f19]) ).

fof(f1781,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1780]) ).

fof(f1780,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f12,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f64,f66,f69,f65,f87,f76,f90,f77,f91,f99,f78,f101,f85,f103,f86,f104,f88,f106,f74,f82,f121,f122,f123,f124,f126,f120,f128,f132,f133,f127,f136,f137,f143,f144,f145,f146,f147,f172,f181,f33,f21,f14,f11,f9,f15,f27,f61,f392,f395,f404,f24,f601,f6,f602,f18,f603,f30,f604,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f43,f606,f611,f609,f605,f628,f622,f391,f644,f624,f678,f679,f681,f682,f675,f687,f688,f676,f684,f677,f4,f637,f750,f639,f805,f804,f810,f808,f811,f813,f748,f830,f832,f803,f896,f897,f891,f925,f924,f139,f138,f80,f1184,f1383,f7,f1525,f25,f1552,f19,f10,f16,f22,f28,f38,f158,f72,f140,f1620,f13,f951]) ).

fof(f1779,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1778]) ).

fof(f1778,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_11 ),
    inference(global_subsumption,[],[f1625,f1,f2,f12,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f64,f66,f69,f65,f87,f76,f90,f77,f91,f99,f78,f101,f85,f103,f86,f104,f88,f106,f74,f82,f121,f122,f123,f124,f126,f120,f128,f132,f133,f127,f136,f137,f143,f144,f145,f146,f147,f172,f181,f33,f21,f14,f11,f9,f15,f27,f61,f392,f395,f404,f24,f601,f6,f602,f18,f603,f30,f604,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f43,f606,f611,f609,f605,f628,f622,f391,f644,f624,f678,f679,f681,f682,f675,f687,f688,f676,f684,f677,f4,f637,f750,f639,f805,f804,f810,f808,f811,f813,f748,f830,f832,f803,f896,f897,f891,f925,f924,f139,f138,f80,f1184,f1383,f7,f1525,f25,f1552,f19,f951,f10,f16,f22,f28,f38,f158,f72,f140,f1620,f13]) ).

fof(f1777,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1776]) ).

fof(f1776,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f12,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f64,f66,f69,f65,f87,f76,f90,f77,f91,f99,f78,f101,f85,f103,f86,f104,f88,f106,f74,f82,f121,f122,f123,f124,f126,f120,f128,f132,f133,f127,f136,f137,f143,f144,f145,f146,f147,f172,f181,f33,f21,f14,f11,f9,f15,f27,f61,f392,f395,f404,f24,f601,f6,f602,f18,f603,f30,f604,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f43,f606,f611,f609,f605,f628,f622,f391,f644,f624,f678,f679,f681,f682,f675,f687,f688,f676,f684,f677,f4,f637,f750,f639,f805,f804,f810,f808,f811,f813,f748,f830,f832,f803,f896,f897,f891,f925,f924,f139,f138,f80,f1184,f1383,f7,f1525,f25,f1552,f19,f951,f10,f16,f22,f28,f38,f158,f72,f140,f1620,f13]) ).

fof(f1775,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1774]) ).

fof(f1774,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f12,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f64,f66,f69,f65,f87,f76,f90,f77,f91,f99,f78,f101,f85,f103,f86,f104,f88,f106,f74,f82,f121,f122,f123,f124,f126,f120,f128,f132,f133,f127,f136,f137,f143,f144,f145,f146,f147,f172,f181,f33,f21,f14,f11,f9,f15,f27,f61,f392,f395,f404,f24,f601,f6,f602,f18,f603,f30,f604,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f43,f606,f611,f609,f605,f628,f622,f391,f644,f624,f678,f679,f681,f682,f675,f687,f688,f676,f684,f677,f4,f637,f750,f639,f805,f804,f810,f808,f811,f813,f748,f830,f832,f803,f896,f897,f891,f925,f924,f139,f138,f80,f1184,f1383,f7,f1525,f25,f1552,f19,f951,f13,f10,f16,f22,f28,f38,f158,f72,f140,f1620]) ).

fof(f1773,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1772]) ).

fof(f1772,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f12,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f64,f66,f69,f65,f87,f76,f90,f77,f91,f99,f78,f101,f85,f103,f86,f104,f88,f106,f74,f82,f121,f122,f123,f124,f126,f120,f128,f132,f133,f127,f136,f137,f143,f144,f145,f146,f147,f172,f181,f33,f21,f14,f11,f9,f15,f27,f61,f392,f395,f404,f24,f601,f6,f602,f18,f603,f30,f604,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f43,f606,f611,f609,f605,f628,f622,f391,f644,f624,f678,f679,f681,f682,f675,f687,f688,f676,f684,f677,f4,f637,f750,f639,f805,f804,f810,f808,f811,f813,f748,f830,f832,f803,f896,f897,f891,f925,f924,f139,f138,f80,f1184,f1383,f7,f1525,f25,f1552,f19,f951,f13,f1620,f10,f16,f22,f28,f38,f158,f72,f140]) ).

fof(f1771,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1770]) ).

fof(f1770,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f12,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f64,f66,f69,f65,f87,f76,f90,f77,f91,f99,f78,f101,f85,f103,f86,f104,f88,f106,f74,f82,f121,f122,f123,f124,f126,f120,f128,f132,f133,f127,f136,f137,f143,f144,f145,f146,f147,f172,f181,f33,f21,f14,f11,f9,f15,f27,f61,f392,f395,f404,f24,f601,f6,f602,f18,f603,f30,f604,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f43,f606,f611,f609,f605,f628,f622,f391,f644,f624,f678,f679,f681,f682,f675,f687,f688,f676,f684,f677,f4,f637,f750,f639,f805,f804,f810,f808,f811,f813,f748,f830,f832,f803,f896,f897,f891,f925,f924,f139,f138,f80,f1184,f1383,f7,f1525,f25,f1552,f19,f951,f13,f1620,f140,f10,f16,f22,f28,f38,f158,f72]) ).

fof(f1769,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1768]) ).

fof(f1768,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f12,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f64,f66,f69,f65,f87,f76,f90,f77,f91,f99,f78,f101,f85,f103,f86,f104,f88,f106,f74,f82,f121,f122,f123,f124,f126,f120,f128,f132,f133,f127,f136,f137,f143,f144,f145,f146,f147,f172,f181,f33,f21,f14,f11,f9,f15,f27,f61,f392,f395,f404,f24,f601,f6,f602,f18,f603,f30,f604,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f43,f606,f611,f609,f605,f628,f622,f391,f644,f624,f678,f679,f681,f682,f675,f687,f688,f676,f684,f677,f4,f637,f750,f639,f805,f804,f810,f808,f811,f813,f748,f830,f832,f803,f896,f897,f891,f925,f924,f139,f138,f80,f1184,f1383,f7,f1525,f25,f1552,f19,f951,f13,f1620,f140,f72,f10,f16,f22,f28,f38,f158]) ).

fof(f1767,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1766]) ).

fof(f1766,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f12,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f64,f66,f69,f65,f87,f76,f90,f77,f91,f99,f78,f101,f85,f103,f86,f104,f88,f106,f74,f82,f121,f122,f123,f124,f126,f120,f128,f132,f133,f127,f136,f137,f143,f144,f145,f146,f147,f172,f181,f33,f21,f14,f11,f9,f15,f27,f61,f392,f395,f404,f24,f601,f6,f602,f18,f603,f30,f604,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f43,f606,f611,f609,f605,f628,f622,f391,f644,f624,f678,f679,f681,f682,f675,f687,f688,f676,f684,f677,f4,f637,f750,f639,f805,f804,f810,f808,f811,f813,f748,f830,f832,f803,f896,f897,f891,f925,f924,f139,f138,f80,f1184,f1383,f7,f1525,f25,f1552,f19,f951,f13,f1620,f140,f72,f158,f10,f16,f22,f28,f38]) ).

fof(f1765,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1764]) ).

fof(f1764,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f12,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f64,f66,f69,f65,f87,f76,f90,f77,f91,f99,f78,f101,f85,f103,f86,f104,f88,f106,f74,f82,f121,f122,f123,f124,f126,f120,f128,f132,f133,f127,f136,f137,f143,f144,f145,f146,f147,f172,f181,f33,f21,f14,f11,f9,f15,f27,f61,f392,f395,f404,f24,f601,f6,f602,f18,f603,f30,f604,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f43,f606,f611,f609,f605,f628,f622,f391,f644,f624,f678,f679,f681,f682,f675,f687,f688,f676,f684,f677,f4,f637,f750,f639,f805,f804,f810,f808,f811,f813,f748,f830,f832,f803,f896,f897,f891,f925,f924,f139,f138,f80,f1184,f1383,f7,f1525,f25,f1552,f19,f951,f13,f1620,f140,f72,f158,f38,f10,f16,f22,f28]) ).

fof(f1763,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1762]) ).

fof(f1762,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f12,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f64,f66,f69,f65,f87,f76,f90,f77,f91,f99,f78,f101,f85,f103,f86,f104,f88,f106,f74,f82,f121,f122,f123,f124,f126,f120,f128,f132,f133,f127,f136,f137,f143,f144,f145,f146,f147,f172,f181,f33,f21,f14,f11,f9,f15,f27,f61,f392,f395,f404,f24,f601,f6,f602,f18,f603,f30,f604,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f43,f606,f611,f609,f605,f628,f622,f391,f644,f624,f678,f679,f681,f682,f675,f687,f688,f676,f684,f677,f4,f637,f750,f639,f805,f804,f810,f808,f811,f813,f748,f830,f832,f803,f896,f897,f891,f925,f924,f139,f138,f80,f1184,f1383,f7,f1525,f25,f1552,f19,f951,f13,f1620,f140,f72,f158,f38,f28,f10,f16,f22]) ).

fof(f1761,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1760]) ).

fof(f1760,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f12,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f64,f66,f69,f65,f87,f76,f90,f77,f91,f99,f78,f101,f85,f103,f86,f104,f88,f106,f74,f82,f121,f122,f123,f124,f126,f120,f128,f132,f133,f127,f136,f137,f143,f144,f145,f146,f147,f172,f181,f33,f21,f14,f11,f9,f15,f27,f61,f392,f395,f404,f24,f601,f6,f602,f18,f603,f30,f604,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f43,f606,f611,f609,f605,f628,f622,f391,f644,f624,f678,f679,f681,f682,f675,f687,f688,f676,f684,f677,f4,f637,f750,f639,f805,f804,f810,f808,f811,f813,f748,f830,f832,f803,f896,f897,f891,f925,f924,f139,f138,f80,f1184,f1383,f7,f1525,f25,f1552,f19,f951,f13,f1620,f140,f72,f158,f38,f28,f22,f10,f16]) ).

fof(f1759,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1758]) ).

fof(f1758,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f12,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f64,f66,f69,f65,f87,f76,f90,f77,f91,f99,f78,f101,f85,f103,f86,f104,f88,f106,f74,f82,f121,f122,f123,f124,f126,f120,f128,f132,f133,f127,f136,f137,f143,f144,f145,f146,f147,f172,f181,f33,f21,f14,f11,f9,f15,f27,f61,f392,f395,f404,f24,f601,f6,f602,f18,f603,f30,f604,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f43,f606,f611,f609,f605,f628,f622,f391,f644,f624,f678,f679,f681,f682,f675,f687,f688,f676,f684,f677,f4,f637,f750,f639,f805,f804,f810,f808,f811,f813,f748,f830,f832,f803,f896,f897,f891,f925,f924,f139,f138,f80,f1184,f1383,f7,f1525,f25,f1552,f19,f951,f13,f1620,f140,f72,f158,f38,f28,f22,f16,f10]) ).

fof(f1757,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_10
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1756]) ).

fof(f1756,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_10
    | spl0_11 ),
    inference(global_subsumption,[],[f1168,f1,f2,f12,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f64,f66,f69,f65,f87,f76,f90,f77,f91,f99,f78,f101,f85,f103,f86,f104,f88,f106,f74,f82,f121,f122,f123,f124,f126,f120,f128,f132,f133,f127,f136,f137,f143,f144,f145,f146,f147,f172,f181,f33,f21,f14,f11,f9,f15,f27,f61,f392,f395,f404,f24,f601,f6,f602,f18,f603,f30,f604,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f43,f606,f611,f609,f605,f628,f622,f391,f644,f624,f678,f679,f681,f682,f675,f687,f688,f676,f684,f677,f4,f637,f750,f639,f805,f804,f810,f808,f811,f813,f748,f830,f832,f803,f896,f897,f891,f925,f924,f139,f138,f80,f1184,f1383,f7,f1525,f25,f1552,f19,f951,f13,f1620,f140,f72,f158,f38,f28,f22,f16,f10]) ).

fof(f1755,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1754]) ).

fof(f1754,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | spl0_11 ),
    inference(global_subsumption,[],[f730,f1,f2,f12,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f64,f66,f69,f65,f87,f76,f90,f77,f91,f99,f78,f101,f85,f103,f86,f104,f88,f106,f74,f82,f121,f122,f123,f124,f126,f120,f128,f132,f133,f127,f136,f137,f143,f144,f145,f146,f147,f172,f181,f33,f21,f14,f11,f9,f15,f27,f61,f392,f395,f404,f24,f601,f6,f602,f18,f603,f30,f604,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f43,f606,f611,f609,f605,f628,f622,f391,f644,f624,f678,f679,f681,f682,f675,f687,f688,f676,f684,f677,f4,f637,f750,f639,f805,f804,f810,f808,f811,f813,f748,f830,f832,f803,f896,f897,f891,f925,f924,f139,f138,f80,f1184,f1383,f7,f1525,f25,f1552,f19,f951,f13,f1620,f140,f72,f158,f38,f28,f22,f16,f10]) ).

fof(f1753,plain,
    ( ~ spl0_2
    | spl0_6
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1752]) ).

fof(f1752,plain,
    ( $false
    | ~ spl0_2
    | spl0_6
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f12,f45,f3,f64,f33,f21,f14,f11,f9,f15,f27,f219,f220,f221,f223,f222,f224,f225,f226,f227,f229,f61,f392,f395,f404,f598,f24,f601,f6,f602,f18,f603,f30,f604,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f43,f606,f611,f609,f605,f628,f622,f391,f644,f624,f678,f679,f681,f682,f675,f687,f688,f676,f684,f677,f4,f637,f750,f639,f805,f804,f810,f808,f811,f813,f748,f830,f832,f803,f896,f897,f891,f925,f924,f1184,f1383,f7,f1525,f25,f1552,f19,f951,f13,f1620,f28,f22,f16,f10,f452,f211]) ).

fof(f211,plain,
    ( sk_c7 != inverse(sk_c2)
    | spl0_6 ),
    inference(avatar_component_clause,[],[f210]) ).

fof(f452,plain,
    ( identity = sk_c8
    | ~ spl0_2
    | spl0_6 ),
    inference(forward_demodulation,[],[f409,f2]) ).

fof(f409,plain,
    ( sk_c8 = multiply(inverse(sk_c4),sk_c4)
    | ~ spl0_2
    | spl0_6 ),
    inference(superposition,[],[f61,f222]) ).

fof(f598,plain,
    ( sk_c4 = inverse(sk_c3)
    | spl0_6 ),
    inference(subsumption_resolution,[],[f24,f211]) ).

fof(f229,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c8,X0)) = multiply(sk_c6,X0)
    | spl0_6 ),
    inference(superposition,[],[f3,f227]) ).

fof(f227,plain,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | spl0_6 ),
    inference(subsumption_resolution,[],[f26,f211]) ).

fof(f226,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c7,X0)) = multiply(sk_c8,X0)
    | spl0_6 ),
    inference(superposition,[],[f3,f225]) ).

fof(f225,plain,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | spl0_6 ),
    inference(subsumption_resolution,[],[f25,f211]) ).

fof(f224,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c4,multiply(sk_c8,X0))
    | ~ spl0_2
    | spl0_6 ),
    inference(superposition,[],[f3,f222]) ).

fof(f222,plain,
    ( sk_c4 = multiply(sk_c4,sk_c8)
    | ~ spl0_2
    | spl0_6 ),
    inference(superposition,[],[f64,f221]) ).

fof(f223,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c3,multiply(sk_c4,X0))
    | spl0_6 ),
    inference(superposition,[],[f3,f221]) ).

fof(f221,plain,
    ( sk_c8 = multiply(sk_c3,sk_c4)
    | spl0_6 ),
    inference(subsumption_resolution,[],[f23,f211]) ).

fof(f220,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c6,X0))
    | spl0_6 ),
    inference(superposition,[],[f3,f219]) ).

fof(f219,plain,
    ( sk_c7 = multiply(sk_c8,sk_c6)
    | spl0_6 ),
    inference(subsumption_resolution,[],[f22,f211]) ).

fof(f1751,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1750]) ).

fof(f1750,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_11 ),
    inference(global_subsumption,[],[f309,f1,f2,f12,f45,f3,f64,f33,f21,f14,f11,f9,f15,f27,f219,f220,f221,f223,f222,f224,f225,f226,f227,f229,f61,f392,f395,f404,f598,f24,f601,f6,f602,f18,f603,f30,f604,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f43,f606,f611,f609,f605,f628,f622,f391,f644,f624,f678,f679,f681,f682,f675,f687,f688,f676,f684,f677,f4,f637,f750,f639,f805,f804,f810,f808,f811,f813,f748,f830,f832,f803,f896,f897,f891,f925,f924,f211,f1184,f1383,f7,f1525,f25,f1552,f19,f951,f13,f1620,f28,f22,f16,f10,f452]) ).

fof(f309,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f298,f235]) ).

fof(f235,plain,
    ( sk_c7 = multiply(sk_c7,sk_c6)
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f219,f230]) ).

fof(f230,plain,
    ( sk_c7 = sk_c8
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f228,f219]) ).

fof(f228,plain,
    ( sk_c8 = multiply(sk_c8,sk_c6)
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f216,f227]) ).

fof(f298,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f243,f285]) ).

fof(f285,plain,
    ( ! [X0] : multiply(sk_c3,X0) = X0
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f276,f234]) ).

fof(f234,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c5,X0)) = X0
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f216,f230]) ).

fof(f276,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c7,X0))
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f275,f230]) ).

fof(f275,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c3,multiply(sk_c7,X0))
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f223,f239]) ).

fof(f239,plain,
    ( sk_c7 = sk_c4
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f238,f230]) ).

fof(f238,plain,
    ( sk_c8 = sk_c4
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f236,f225]) ).

fof(f236,plain,
    ( sk_c4 = multiply(sk_c4,sk_c7)
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f222,f230]) ).

fof(f243,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f64,f239]) ).

fof(f1749,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1748]) ).

fof(f1748,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_11 ),
    inference(global_subsumption,[],[f239,f1,f2,f12,f45,f3,f64,f33,f21,f14,f11,f9,f15,f27,f219,f220,f221,f223,f222,f224,f225,f226,f227,f229,f61,f392,f395,f404,f598,f24,f601,f6,f602,f18,f603,f30,f604,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f43,f606,f611,f609,f605,f628,f622,f391,f644,f624,f678,f679,f681,f682,f675,f687,f688,f676,f684,f677,f4,f637,f750,f639,f805,f804,f810,f808,f811,f813,f748,f830,f832,f803,f896,f897,f891,f925,f924,f211,f1184,f1383,f7,f1525,f25,f1552,f19,f951,f13,f1620,f28,f22,f16,f10,f452]) ).

fof(f1747,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1746]) ).

fof(f1746,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_11 ),
    inference(global_subsumption,[],[f310,f1,f2,f12,f45,f3,f64,f33,f21,f14,f11,f9,f15,f27,f219,f220,f221,f223,f222,f224,f225,f226,f227,f229,f61,f392,f395,f404,f598,f24,f601,f6,f602,f18,f603,f30,f604,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f43,f606,f611,f609,f605,f628,f622,f391,f644,f624,f678,f679,f681,f682,f675,f687,f688,f676,f684,f677,f4,f637,f750,f639,f805,f804,f810,f808,f811,f813,f748,f830,f832,f803,f896,f897,f891,f925,f924,f211,f1184,f1383,f7,f1525,f25,f1552,f19,f951,f13,f1620,f28,f22,f16,f10,f452]) ).

fof(f310,plain,
    ( identity = sk_c3
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f298,f244]) ).

fof(f244,plain,
    ( identity = multiply(sk_c7,sk_c3)
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f45,f239]) ).

fof(f1745,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1744]) ).

fof(f1744,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_11 ),
    inference(global_subsumption,[],[f311,f1,f2,f12,f45,f3,f64,f33,f21,f14,f11,f9,f15,f27,f219,f220,f221,f223,f222,f224,f225,f226,f227,f229,f61,f392,f395,f404,f598,f24,f601,f6,f602,f18,f603,f30,f604,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f43,f606,f611,f609,f605,f628,f622,f391,f644,f624,f678,f679,f681,f682,f675,f687,f688,f676,f684,f677,f4,f637,f750,f639,f805,f804,f810,f808,f811,f813,f748,f830,f832,f803,f896,f897,f891,f925,f924,f211,f1184,f1383,f7,f1525,f25,f1552,f19,f951,f13,f1620,f28,f22,f16,f10,f452]) ).

fof(f311,plain,
    ( identity = sk_c5
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f298,f233]) ).

fof(f233,plain,
    ( identity = multiply(sk_c7,sk_c5)
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f214,f230]) ).

fof(f1743,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1742]) ).

fof(f1742,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_11 ),
    inference(global_subsumption,[],[f488,f1,f2,f12,f45,f3,f64,f33,f21,f14,f11,f9,f15,f27,f219,f220,f221,f223,f222,f224,f225,f226,f227,f229,f61,f392,f395,f404,f598,f24,f601,f6,f602,f18,f603,f30,f604,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f43,f606,f611,f609,f605,f628,f622,f391,f644,f624,f678,f679,f681,f682,f675,f687,f688,f676,f684,f677,f4,f637,f750,f639,f805,f804,f810,f808,f811,f813,f748,f830,f832,f803,f896,f897,f891,f925,f924,f211,f1184,f1383,f7,f1525,f25,f1552,f19,f951,f13,f1620,f28,f22,f16,f10,f452]) ).

fof(f488,plain,
    ( identity = sk_c8
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f487,f298]) ).

fof(f487,plain,
    ( sk_c8 = multiply(sk_c7,identity)
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f473,f239]) ).

fof(f473,plain,
    ( sk_c8 = multiply(sk_c4,identity)
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f225,f448]) ).

fof(f448,plain,
    ( identity = sk_c7
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f447,f2]) ).

fof(f447,plain,
    ( sk_c7 = multiply(inverse(sk_c7),sk_c7)
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f446,f239]) ).

fof(f446,plain,
    ( sk_c7 = multiply(inverse(sk_c4),sk_c7)
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f407,f230]) ).

fof(f407,plain,
    ( sk_c7 = multiply(inverse(sk_c4),sk_c8)
    | spl0_6 ),
    inference(superposition,[],[f61,f225]) ).

fof(f1741,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1740]) ).

fof(f1740,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_11 ),
    inference(global_subsumption,[],[f448,f1,f2,f12,f45,f3,f64,f33,f21,f14,f11,f9,f15,f27,f219,f220,f221,f223,f222,f224,f225,f226,f227,f229,f61,f392,f395,f404,f598,f24,f601,f6,f602,f18,f603,f30,f604,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f43,f606,f611,f609,f605,f628,f622,f391,f644,f624,f678,f679,f681,f682,f675,f687,f688,f676,f684,f677,f4,f637,f750,f639,f805,f804,f810,f808,f811,f813,f748,f830,f832,f803,f896,f897,f891,f925,f924,f211,f1184,f1383,f7,f1525,f25,f1552,f19,f951,f13,f1620,f28,f22,f16,f10,f452]) ).

fof(f1739,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1738]) ).

fof(f1738,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_11 ),
    inference(global_subsumption,[],[f457,f1,f2,f12,f45,f3,f64,f33,f21,f14,f11,f9,f15,f27,f219,f220,f221,f223,f222,f224,f225,f226,f227,f229,f61,f392,f395,f404,f598,f24,f601,f6,f602,f18,f603,f30,f604,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f43,f606,f611,f609,f605,f628,f622,f391,f644,f624,f678,f679,f681,f682,f675,f687,f688,f676,f684,f677,f4,f637,f750,f639,f805,f804,f810,f808,f811,f813,f748,f830,f832,f803,f896,f897,f891,f925,f924,f211,f1184,f1383,f7,f1525,f25,f1552,f19,f951,f13,f1620,f28,f22,f16,f10,f452]) ).

fof(f457,plain,
    ( identity = sk_c6
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f456,f2]) ).

fof(f456,plain,
    ( sk_c6 = multiply(inverse(sk_c7),sk_c7)
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f411,f230]) ).

fof(f411,plain,
    ( sk_c6 = multiply(inverse(sk_c8),sk_c7)
    | spl0_6 ),
    inference(superposition,[],[f61,f219]) ).

fof(f1737,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1736]) ).

fof(f1736,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_11 ),
    inference(global_subsumption,[],[f230,f1,f2,f12,f45,f3,f64,f33,f21,f14,f11,f9,f15,f27,f219,f220,f221,f223,f222,f224,f225,f226,f227,f229,f61,f392,f395,f404,f598,f24,f601,f6,f602,f18,f603,f30,f604,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f43,f606,f611,f609,f605,f628,f622,f391,f644,f624,f678,f679,f681,f682,f675,f687,f688,f676,f684,f677,f4,f637,f750,f639,f805,f804,f810,f808,f811,f813,f748,f830,f832,f803,f896,f897,f891,f925,f924,f211,f1184,f1383,f7,f1525,f25,f1552,f19,f951,f13,f1620,f28,f22,f16,f10,f452]) ).

fof(f1735,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1734]) ).

fof(f1734,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_11 ),
    inference(global_subsumption,[],[f338,f1,f2,f12,f45,f3,f64,f33,f21,f14,f11,f9,f15,f27,f219,f220,f221,f223,f222,f224,f225,f226,f227,f229,f61,f392,f395,f404,f598,f24,f601,f6,f602,f18,f603,f30,f604,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f43,f606,f611,f609,f605,f628,f622,f391,f644,f624,f678,f679,f681,f682,f675,f687,f688,f676,f684,f677,f4,f637,f750,f639,f805,f804,f810,f808,f811,f813,f748,f830,f832,f803,f896,f897,f891,f925,f924,f211,f1184,f1383,f7,f1525,f25,f1552,f19,f951,f13,f1620,f28,f22,f16,f10,f452]) ).

fof(f338,plain,
    ( sk_c7 = inverse(identity)
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f329,f239]) ).

fof(f329,plain,
    ( sk_c4 = inverse(identity)
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f43,f310]) ).

fof(f1733,plain,
    ( ~ spl0_2
    | spl0_6
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1732]) ).

fof(f1732,plain,
    ( $false
    | ~ spl0_2
    | spl0_6
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f12,f45,f3,f64,f33,f21,f14,f11,f9,f15,f27,f219,f220,f221,f223,f222,f224,f225,f226,f227,f229,f61,f392,f395,f404,f598,f24,f601,f6,f602,f18,f603,f30,f604,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f43,f606,f611,f609,f605,f628,f622,f391,f644,f624,f678,f679,f681,f682,f675,f687,f688,f676,f684,f677,f4,f637,f750,f639,f805,f804,f810,f808,f811,f813,f748,f830,f832,f803,f896,f897,f891,f925,f924,f211,f1184,f1383,f7,f1525,f25,f1552,f19,f951,f13,f1620,f28,f22,f16,f10,f452]) ).

fof(f1731,plain,
    ( ~ spl0_2
    | spl0_6
    | ~ spl0_10
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1730]) ).

fof(f1730,plain,
    ( $false
    | ~ spl0_2
    | spl0_6
    | ~ spl0_10
    | spl0_11 ),
    inference(global_subsumption,[],[f730,f1,f2,f12,f45,f3,f64,f33,f21,f14,f11,f9,f15,f27,f219,f220,f221,f223,f222,f224,f225,f226,f227,f229,f61,f392,f395,f404,f452,f598,f24,f601,f6,f602,f18,f603,f30,f604,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f43,f606,f611,f609,f605,f628,f622,f391,f644,f624,f678,f679,f681,f682,f675,f687,f688,f676,f684,f677,f4,f637,f750,f639,f805,f804,f810,f808,f811,f813,f748,f830,f832,f803,f896,f897,f891,f925,f924,f211,f1184,f1383,f7,f1525,f25,f1552,f19,f951,f13,f1620,f28,f22,f16,f10]) ).

fof(f1729,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_10
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1728]) ).

fof(f1728,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_10
    | spl0_11 ),
    inference(global_subsumption,[],[f1168,f1,f2,f12,f45,f3,f64,f33,f21,f14,f11,f9,f15,f27,f219,f220,f221,f223,f222,f224,f225,f226,f227,f229,f61,f392,f395,f404,f452,f598,f24,f601,f6,f602,f18,f603,f30,f604,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f43,f606,f611,f609,f605,f628,f622,f391,f644,f624,f678,f679,f681,f682,f675,f687,f688,f676,f684,f677,f4,f637,f750,f639,f805,f804,f810,f808,f811,f813,f748,f830,f832,f803,f896,f897,f891,f925,f924,f211,f1184,f1383,f7,f1525,f25,f1552,f19,f951,f13,f1620,f28,f22,f16,f10]) ).

fof(f1727,plain,
    ( ~ spl0_2
    | spl0_6
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1726]) ).

fof(f1726,plain,
    ( $false
    | ~ spl0_2
    | spl0_6
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f12,f45,f3,f64,f33,f21,f14,f11,f9,f15,f27,f219,f220,f221,f223,f222,f224,f225,f226,f227,f229,f61,f392,f395,f404,f452,f598,f24,f601,f6,f602,f18,f603,f30,f604,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f43,f606,f611,f609,f605,f628,f622,f391,f644,f624,f678,f679,f681,f682,f675,f687,f688,f676,f684,f677,f4,f637,f750,f639,f805,f804,f810,f808,f811,f813,f748,f830,f832,f803,f896,f897,f891,f925,f924,f211,f1184,f1383,f7,f1525,f25,f1552,f19,f951,f13,f1620,f28,f22,f16,f10]) ).

fof(f1725,plain,
    ( ~ spl0_2
    | spl0_6
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1724]) ).

fof(f1724,plain,
    ( $false
    | ~ spl0_2
    | spl0_6
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f12,f45,f3,f64,f33,f21,f14,f11,f9,f15,f27,f219,f220,f221,f223,f222,f224,f225,f226,f227,f229,f61,f392,f395,f404,f452,f598,f24,f601,f6,f602,f18,f603,f30,f604,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f43,f606,f611,f609,f605,f628,f622,f391,f644,f624,f678,f679,f681,f682,f675,f687,f688,f676,f684,f677,f4,f637,f750,f639,f805,f804,f810,f808,f811,f813,f748,f830,f832,f803,f896,f897,f891,f925,f924,f211,f10,f1184,f1383,f7,f1525,f25,f1552,f19,f951,f13,f1620,f28,f22,f16]) ).

fof(f1723,plain,
    ( ~ spl0_2
    | spl0_6
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1722]) ).

fof(f1722,plain,
    ( $false
    | ~ spl0_2
    | spl0_6
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f12,f45,f3,f64,f33,f21,f14,f11,f9,f15,f27,f219,f220,f221,f223,f222,f224,f225,f226,f227,f229,f61,f392,f395,f404,f452,f598,f24,f601,f6,f602,f18,f603,f30,f604,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f43,f606,f611,f609,f605,f628,f622,f391,f644,f624,f678,f679,f681,f682,f675,f687,f688,f676,f684,f677,f4,f637,f750,f639,f805,f804,f810,f808,f811,f813,f748,f830,f832,f803,f896,f897,f891,f925,f924,f211,f10,f16,f1184,f1383,f7,f1525,f25,f1552,f19,f951,f13,f1620,f28,f22]) ).

fof(f1721,plain,
    ( ~ spl0_2
    | spl0_6
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1720]) ).

fof(f1720,plain,
    ( $false
    | ~ spl0_2
    | spl0_6
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f12,f45,f3,f64,f33,f21,f14,f11,f9,f15,f27,f219,f220,f221,f223,f222,f224,f225,f226,f227,f229,f61,f392,f395,f404,f452,f598,f24,f601,f6,f602,f18,f603,f30,f604,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f43,f606,f611,f609,f605,f628,f622,f391,f644,f624,f678,f679,f681,f682,f675,f687,f688,f676,f684,f677,f4,f637,f750,f639,f805,f804,f810,f808,f811,f813,f748,f830,f832,f803,f896,f897,f891,f925,f924,f211,f10,f16,f22,f1184,f1383,f7,f1525,f25,f1552,f19,f951,f13,f1620,f28]) ).

fof(f1719,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_6
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1718]) ).

fof(f1718,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_6
    | spl0_11 ),
    inference(global_subsumption,[],[f38,f1,f2,f12,f45,f3,f64,f33,f21,f14,f11,f9,f15,f27,f219,f220,f221,f223,f222,f224,f225,f226,f227,f229,f61,f392,f395,f404,f452,f598,f24,f601,f6,f602,f18,f603,f30,f604,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f43,f606,f611,f609,f605,f628,f622,f391,f644,f624,f678,f679,f681,f682,f675,f687,f688,f676,f684,f677,f4,f637,f750,f639,f805,f804,f810,f808,f811,f813,f748,f830,f832,f803,f896,f897,f891,f925,f924,f211,f10,f16,f22,f28,f1184,f1383,f7,f1525,f25,f1552,f19,f951,f13,f1620]) ).

fof(f1717,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_6
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1716]) ).

fof(f1716,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_6
    | spl0_11 ),
    inference(global_subsumption,[],[f158,f1,f2,f12,f45,f3,f64,f33,f21,f14,f11,f9,f15,f27,f219,f220,f221,f223,f222,f224,f225,f226,f227,f229,f61,f392,f395,f404,f452,f598,f24,f601,f6,f602,f18,f603,f30,f604,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f43,f606,f611,f609,f605,f628,f622,f391,f644,f624,f678,f679,f681,f682,f675,f687,f688,f676,f684,f677,f4,f637,f750,f639,f805,f804,f810,f808,f811,f813,f748,f830,f832,f803,f896,f897,f891,f925,f924,f211,f10,f16,f22,f28,f1184,f1383,f7,f1525,f25,f1552,f19,f951,f13,f1620]) ).

fof(f1715,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_6
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1714]) ).

fof(f1714,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_6
    | spl0_11 ),
    inference(global_subsumption,[],[f72,f1,f2,f12,f45,f3,f64,f33,f21,f14,f11,f9,f15,f27,f219,f220,f221,f223,f222,f224,f225,f226,f227,f229,f61,f392,f395,f404,f452,f598,f24,f601,f6,f602,f18,f603,f30,f604,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f43,f606,f611,f609,f605,f628,f622,f391,f644,f624,f678,f679,f681,f682,f675,f687,f688,f676,f684,f677,f4,f637,f750,f639,f805,f804,f810,f808,f811,f813,f748,f830,f832,f803,f896,f897,f891,f925,f924,f211,f10,f16,f22,f28,f1184,f1383,f7,f1525,f25,f1552,f19,f951,f13,f1620]) ).

fof(f1713,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_6
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1712]) ).

fof(f1712,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_6
    | spl0_11 ),
    inference(global_subsumption,[],[f140,f1,f2,f12,f45,f3,f64,f33,f21,f14,f11,f9,f15,f27,f219,f220,f221,f223,f222,f224,f225,f226,f227,f229,f61,f392,f395,f404,f452,f598,f24,f601,f6,f602,f18,f603,f30,f604,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f43,f606,f611,f609,f605,f628,f622,f391,f644,f624,f678,f679,f681,f682,f675,f687,f688,f676,f684,f677,f4,f637,f750,f639,f805,f804,f810,f808,f811,f813,f748,f830,f832,f803,f896,f897,f891,f925,f924,f211,f10,f16,f22,f28,f1184,f1383,f7,f1525,f25,f1552,f19,f951,f13,f1620]) ).

fof(f1711,plain,
    ( ~ spl0_2
    | spl0_6
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1710]) ).

fof(f1710,plain,
    ( $false
    | ~ spl0_2
    | spl0_6
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f12,f45,f3,f64,f33,f21,f14,f11,f9,f15,f27,f219,f220,f221,f223,f222,f224,f225,f226,f227,f229,f61,f392,f395,f404,f452,f598,f24,f601,f6,f602,f18,f603,f30,f604,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f43,f606,f611,f609,f605,f628,f622,f391,f644,f624,f678,f679,f681,f682,f675,f687,f688,f676,f684,f677,f4,f637,f750,f639,f805,f804,f810,f808,f811,f813,f748,f830,f832,f803,f896,f897,f891,f925,f924,f211,f10,f16,f22,f28,f1184,f1383,f7,f1525,f25,f1552,f19,f951,f13,f1620]) ).

fof(f1709,plain,
    ( ~ spl0_2
    | spl0_6
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1708]) ).

fof(f1708,plain,
    ( $false
    | ~ spl0_2
    | spl0_6
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f12,f45,f3,f64,f33,f21,f14,f11,f9,f15,f27,f219,f220,f221,f223,f222,f224,f225,f226,f227,f229,f61,f392,f395,f404,f452,f598,f24,f601,f6,f602,f18,f603,f30,f604,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f43,f606,f611,f609,f605,f628,f622,f391,f644,f624,f678,f679,f681,f682,f675,f687,f688,f676,f684,f677,f4,f637,f750,f639,f805,f804,f810,f808,f811,f813,f748,f830,f832,f803,f896,f897,f891,f925,f924,f211,f10,f16,f22,f28,f1620,f1184,f1383,f7,f1525,f25,f1552,f19,f951,f13]) ).

fof(f1707,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1706]) ).

fof(f1706,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_11 ),
    inference(global_subsumption,[],[f1625,f1,f2,f12,f45,f3,f64,f33,f21,f14,f11,f9,f15,f27,f219,f220,f221,f223,f222,f224,f225,f226,f227,f229,f61,f392,f395,f404,f452,f598,f24,f601,f6,f602,f18,f603,f30,f604,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f43,f606,f611,f609,f605,f628,f622,f391,f644,f624,f678,f679,f681,f682,f675,f687,f688,f676,f684,f677,f4,f637,f750,f639,f805,f804,f810,f808,f811,f813,f748,f830,f832,f803,f896,f897,f891,f925,f924,f211,f10,f16,f22,f28,f1620,f13,f1184,f1383,f7,f1525,f25,f1552,f19,f951]) ).

fof(f1705,plain,
    ( ~ spl0_2
    | spl0_6
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1704]) ).

fof(f1704,plain,
    ( $false
    | ~ spl0_2
    | spl0_6
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f12,f45,f3,f64,f33,f21,f14,f11,f9,f15,f27,f219,f220,f221,f223,f222,f224,f225,f226,f227,f229,f61,f392,f395,f404,f452,f598,f24,f601,f6,f602,f18,f603,f30,f604,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f43,f606,f611,f609,f605,f628,f622,f391,f644,f624,f678,f679,f681,f682,f675,f687,f688,f676,f684,f677,f4,f637,f750,f639,f805,f804,f810,f808,f811,f813,f748,f830,f832,f803,f896,f897,f891,f925,f924,f211,f10,f16,f22,f28,f1620,f13,f1184,f1383,f7,f1525,f25,f1552,f19,f951]) ).

fof(f1703,plain,
    ( ~ spl0_2
    | spl0_6
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1702]) ).

fof(f1702,plain,
    ( $false
    | ~ spl0_2
    | spl0_6
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f12,f45,f3,f64,f33,f21,f14,f11,f9,f15,f27,f219,f220,f221,f223,f222,f224,f225,f226,f227,f229,f61,f392,f395,f404,f452,f598,f24,f601,f6,f602,f18,f603,f30,f604,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f43,f606,f611,f609,f605,f628,f622,f391,f644,f624,f678,f679,f681,f682,f675,f687,f688,f676,f684,f677,f4,f637,f750,f639,f805,f804,f810,f808,f811,f813,f748,f830,f832,f803,f896,f897,f891,f925,f924,f211,f10,f16,f22,f28,f1620,f13,f951,f1184,f1383,f7,f1525,f25,f1552,f19]) ).

fof(f1701,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1700]) ).

fof(f1700,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_11 ),
    inference(global_subsumption,[],[f1066,f1,f2,f12,f45,f3,f64,f33,f21,f14,f11,f9,f15,f27,f219,f220,f221,f223,f222,f224,f225,f226,f227,f229,f61,f392,f395,f404,f452,f598,f24,f601,f6,f602,f18,f603,f30,f604,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f43,f606,f611,f609,f605,f628,f622,f391,f644,f624,f678,f679,f681,f682,f675,f687,f688,f676,f684,f677,f4,f637,f750,f639,f805,f804,f810,f808,f811,f813,f748,f830,f832,f803,f896,f897,f891,f925,f924,f211,f10,f16,f22,f28,f1620,f13,f951,f19,f1184,f1383,f7,f1525,f25,f1552]) ).

fof(f1699,plain,
    ( ~ spl0_2
    | spl0_6
    | ~ spl0_9
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1698]) ).

fof(f1698,plain,
    ( $false
    | ~ spl0_2
    | spl0_6
    | ~ spl0_9
    | spl0_11 ),
    inference(global_subsumption,[],[f726,f1,f2,f12,f45,f3,f64,f33,f21,f14,f11,f9,f15,f27,f219,f220,f221,f223,f222,f224,f225,f226,f227,f229,f61,f392,f395,f404,f452,f598,f24,f601,f6,f602,f18,f603,f30,f604,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f43,f606,f611,f609,f605,f628,f622,f391,f644,f624,f678,f679,f681,f682,f675,f687,f688,f676,f684,f677,f4,f637,f750,f639,f805,f804,f810,f808,f811,f813,f748,f830,f832,f803,f896,f897,f891,f925,f924,f211,f10,f16,f22,f28,f1620,f13,f951,f19,f1184,f1383,f7,f1525,f25,f1552]) ).

fof(f1697,plain,
    ( ~ spl0_2
    | spl0_6
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1696]) ).

fof(f1696,plain,
    ( $false
    | ~ spl0_2
    | spl0_6
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f12,f45,f3,f64,f33,f21,f14,f11,f9,f15,f27,f219,f220,f221,f223,f222,f224,f225,f226,f227,f229,f61,f392,f395,f404,f452,f598,f24,f601,f6,f602,f18,f603,f30,f604,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f43,f606,f611,f609,f605,f628,f622,f391,f644,f624,f678,f679,f681,f682,f675,f687,f688,f676,f684,f677,f4,f637,f750,f639,f805,f804,f810,f808,f811,f813,f748,f830,f832,f803,f896,f897,f891,f925,f924,f211,f10,f16,f22,f28,f1620,f13,f951,f19,f1184,f1383,f7,f1525,f25,f1552]) ).

fof(f1695,plain,
    ( ~ spl0_2
    | spl0_6
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1694]) ).

fof(f1694,plain,
    ( $false
    | ~ spl0_2
    | spl0_6
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f12,f45,f3,f64,f33,f21,f14,f11,f9,f15,f27,f219,f220,f221,f223,f222,f224,f225,f226,f227,f229,f61,f392,f395,f404,f452,f598,f24,f601,f6,f602,f18,f603,f30,f604,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f43,f606,f611,f609,f605,f628,f622,f391,f644,f624,f678,f679,f681,f682,f675,f687,f688,f676,f684,f677,f4,f637,f750,f639,f805,f804,f810,f808,f811,f813,f748,f830,f832,f803,f896,f897,f891,f925,f924,f211,f10,f16,f22,f28,f1620,f13,f951,f19,f1552,f1184,f1383,f7,f1525,f25]) ).

fof(f1693,plain,
    ( ~ spl0_2
    | spl0_6
    | spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1692]) ).

fof(f1692,plain,
    ( $false
    | ~ spl0_2
    | spl0_6
    | spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f1188,f1,f2,f12,f45,f3,f64,f33,f21,f14,f11,f9,f15,f27,f219,f220,f221,f223,f222,f224,f225,f226,f227,f229,f61,f392,f395,f404,f452,f598,f24,f601,f6,f602,f18,f603,f30,f604,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f43,f606,f611,f609,f605,f628,f622,f391,f644,f624,f678,f679,f681,f682,f675,f687,f688,f676,f684,f677,f4,f637,f750,f639,f805,f804,f810,f808,f811,f813,f748,f830,f832,f803,f896,f897,f891,f925,f924,f211,f10,f16,f22,f28,f1620,f13,f951,f19,f1552,f25,f1184,f1383,f7,f1525]) ).

fof(f1691,plain,
    ( ~ spl0_2
    | spl0_6
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1690]) ).

fof(f1690,plain,
    ( $false
    | ~ spl0_2
    | spl0_6
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f12,f45,f3,f64,f33,f21,f14,f11,f9,f15,f27,f219,f220,f221,f223,f222,f224,f225,f226,f227,f229,f61,f392,f395,f404,f452,f598,f24,f601,f6,f602,f18,f603,f30,f604,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f43,f606,f611,f609,f605,f628,f622,f391,f644,f624,f678,f679,f681,f682,f675,f687,f688,f676,f684,f677,f4,f637,f750,f639,f805,f804,f810,f808,f811,f813,f748,f830,f832,f803,f896,f897,f891,f925,f924,f211,f10,f16,f22,f28,f1620,f13,f951,f19,f1552,f25,f1184,f1383,f7,f1525]) ).

fof(f1689,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1688]) ).

fof(f1688,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_11 ),
    inference(global_subsumption,[],[f1377,f1,f2,f12,f45,f3,f64,f33,f21,f14,f11,f9,f15,f27,f219,f220,f221,f223,f222,f224,f225,f226,f227,f229,f61,f392,f395,f404,f452,f598,f24,f601,f6,f602,f18,f603,f30,f604,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f43,f606,f611,f609,f605,f628,f622,f391,f644,f624,f678,f679,f681,f682,f675,f687,f688,f676,f684,f677,f4,f637,f750,f639,f805,f804,f810,f808,f811,f813,f748,f830,f832,f803,f896,f897,f891,f925,f924,f211,f10,f16,f22,f28,f1620,f13,f951,f19,f1552,f25,f1525,f1184,f1383,f7]) ).

fof(f1687,plain,
    ( ~ spl0_2
    | spl0_6
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1686]) ).

fof(f1686,plain,
    ( $false
    | ~ spl0_2
    | spl0_6
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f12,f45,f3,f64,f33,f21,f14,f11,f9,f15,f27,f219,f220,f221,f223,f222,f224,f225,f226,f227,f229,f61,f392,f395,f404,f452,f598,f24,f601,f6,f602,f18,f603,f30,f604,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f43,f606,f611,f609,f605,f628,f622,f391,f644,f624,f678,f679,f681,f682,f675,f687,f688,f676,f684,f677,f4,f637,f750,f639,f805,f804,f810,f808,f811,f813,f748,f830,f832,f803,f896,f897,f891,f925,f924,f211,f10,f16,f22,f28,f1620,f13,f951,f19,f1552,f25,f1525,f1184,f1383,f7]) ).

fof(f1685,plain,
    ( ~ spl0_2
    | spl0_6
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1684]) ).

fof(f1684,plain,
    ( $false
    | ~ spl0_2
    | spl0_6
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f12,f45,f3,f64,f33,f21,f14,f11,f9,f15,f27,f219,f220,f221,f223,f222,f224,f225,f226,f227,f229,f61,f392,f395,f404,f452,f598,f24,f601,f6,f602,f18,f603,f30,f604,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f43,f606,f611,f609,f605,f628,f622,f391,f644,f624,f678,f679,f681,f682,f675,f687,f688,f676,f684,f677,f4,f637,f750,f639,f805,f804,f810,f808,f811,f813,f748,f830,f832,f803,f896,f897,f891,f925,f924,f211,f10,f16,f22,f28,f1620,f13,f951,f19,f1552,f25,f1525,f7,f1184,f1383]) ).

fof(f1683,plain,
    ( ~ spl0_2
    | spl0_6
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1682]) ).

fof(f1682,plain,
    ( $false
    | ~ spl0_2
    | spl0_6
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f12,f45,f3,f64,f33,f21,f14,f11,f9,f15,f27,f219,f220,f221,f223,f222,f224,f225,f226,f227,f229,f61,f392,f395,f404,f452,f598,f24,f601,f6,f602,f18,f603,f30,f604,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f43,f606,f611,f609,f605,f628,f622,f391,f644,f624,f678,f679,f681,f682,f675,f687,f688,f676,f684,f677,f4,f637,f750,f639,f805,f804,f810,f808,f811,f813,f748,f830,f832,f803,f896,f897,f891,f925,f924,f211,f10,f16,f22,f28,f1620,f13,f951,f19,f1552,f25,f1525,f7,f1383,f1184]) ).

fof(f1681,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1680]) ).

fof(f1680,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_11 ),
    inference(global_subsumption,[],[f1546,f1,f2,f12,f45,f3,f64,f33,f21,f14,f11,f9,f15,f27,f219,f220,f221,f223,f222,f224,f225,f226,f227,f229,f61,f392,f395,f404,f452,f598,f24,f601,f6,f602,f18,f603,f30,f604,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f43,f606,f611,f609,f605,f628,f622,f391,f644,f624,f678,f679,f681,f682,f675,f687,f688,f676,f684,f677,f4,f637,f750,f639,f805,f804,f810,f808,f811,f813,f748,f830,f832,f803,f896,f897,f891,f925,f924,f211,f10,f16,f22,f28,f1620,f13,f951,f19,f1552,f25,f1525,f7,f1383,f1184]) ).

fof(f1679,plain,
    ( spl0_1
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1678]) ).

fof(f1678,plain,
    ( $false
    | spl0_1
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f12,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f76,f90,f77,f91,f99,f78,f101,f74,f121,f124,f33,f21,f14,f11,f9,f15,f27,f61,f392,f395,f404,f24,f6,f18,f30,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f391,f644,f4,f1114,f10,f16,f22,f28,f38,f72,f13,f19,f25,f7,f1107,f906,f729]) ).

fof(f1677,plain,
    ( spl0_1
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1676]) ).

fof(f1676,plain,
    ( $false
    | spl0_1
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f12,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f76,f90,f77,f91,f99,f78,f101,f74,f121,f124,f33,f21,f14,f11,f9,f15,f27,f61,f392,f395,f404,f24,f6,f18,f30,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f391,f644,f4,f729,f1114,f10,f16,f22,f28,f38,f72,f13,f19,f25,f7,f1107,f906]) ).

fof(f1675,plain,
    ( spl0_1
    | ~ spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1674]) ).

fof(f1674,plain,
    ( $false
    | spl0_1
    | ~ spl0_6
    | spl0_10 ),
    inference(global_subsumption,[],[f1116,f1,f2,f12,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f76,f90,f77,f91,f99,f78,f101,f74,f121,f124,f33,f21,f14,f11,f9,f15,f27,f61,f392,f395,f404,f24,f6,f18,f30,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f391,f644,f4,f729,f1114,f10,f16,f22,f28,f38,f72,f13,f19,f25,f7,f1107]) ).

fof(f1673,plain,
    ( spl0_1
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1672]) ).

fof(f1672,plain,
    ( $false
    | spl0_1
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f1119,f1,f2,f12,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f76,f90,f77,f91,f99,f78,f101,f74,f121,f124,f33,f21,f14,f11,f9,f15,f27,f61,f392,f395,f404,f24,f6,f18,f30,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f391,f644,f4,f729,f1114,f10,f16,f22,f28,f38,f72,f13,f19,f25,f7,f1107]) ).

fof(f1119,plain,
    ( identity = multiply(sk_c7,sk_c5)
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(superposition,[],[f214,f1108]) ).

fof(f1671,plain,
    ( spl0_1
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1670]) ).

fof(f1670,plain,
    ( $false
    | spl0_1
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f1139,f1,f2,f12,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f76,f90,f77,f91,f99,f78,f101,f74,f121,f124,f33,f21,f14,f11,f9,f15,f27,f61,f392,f395,f404,f24,f6,f18,f30,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f391,f644,f4,f729,f1114,f10,f16,f22,f28,f38,f72,f13,f19,f25,f7,f1107]) ).

fof(f1139,plain,
    ( sk_c5 = inverse(sk_c7)
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(superposition,[],[f871,f1108]) ).

fof(f1669,plain,
    ( spl0_1
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1668]) ).

fof(f1668,plain,
    ( $false
    | spl0_1
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f1126,f1,f2,f12,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f76,f90,f77,f91,f99,f78,f101,f74,f121,f124,f33,f21,f14,f11,f9,f15,f27,f61,f392,f395,f404,f24,f6,f18,f30,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f391,f644,f4,f729,f1114,f10,f16,f22,f28,f38,f72,f13,f19,f25,f7,f1107]) ).

fof(f1126,plain,
    ( identity = multiply(sk_c5,sk_c7)
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(superposition,[],[f648,f1108]) ).

fof(f1667,plain,
    ( spl0_1
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1666]) ).

fof(f1666,plain,
    ( $false
    | spl0_1
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f12,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f76,f90,f77,f91,f99,f78,f101,f74,f121,f124,f33,f21,f14,f11,f9,f15,f27,f61,f392,f395,f404,f24,f6,f18,f30,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f391,f644,f4,f729,f1114,f10,f16,f22,f28,f38,f72,f13,f19,f25,f7,f1107]) ).

fof(f1665,plain,
    ( spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1664]) ).

fof(f1664,plain,
    ( $false
    | spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f1108,f1,f2,f12,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f76,f90,f77,f91,f99,f78,f101,f74,f121,f124,f33,f21,f14,f11,f9,f15,f27,f61,f392,f395,f404,f24,f6,f18,f30,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f391,f644,f4,f729,f1107,f1114,f10,f16,f22,f28,f38,f72,f13,f19,f25,f7]) ).

fof(f1663,plain,
    ( spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1662]) ).

fof(f1662,plain,
    ( $false
    | spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f1109,f1,f2,f12,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f76,f90,f77,f91,f99,f78,f101,f74,f121,f124,f33,f21,f14,f11,f9,f15,f27,f61,f392,f395,f404,f24,f6,f18,f30,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f391,f644,f4,f729,f1107,f1114,f10,f16,f22,f28,f38,f72,f13,f19,f25,f7]) ).

fof(f1661,plain,
    ( spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1660]) ).

fof(f1660,plain,
    ( $false
    | spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f1129,f1,f2,f12,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f76,f90,f77,f91,f99,f78,f101,f74,f121,f124,f33,f21,f14,f11,f9,f15,f27,f61,f392,f395,f404,f24,f6,f18,f30,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f391,f644,f4,f729,f1107,f1114,f10,f16,f22,f28,f38,f72,f13,f19,f25,f7]) ).

fof(f1659,plain,
    ( spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1658]) ).

fof(f1658,plain,
    ( $false
    | spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f1130,f1,f2,f12,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f76,f90,f77,f91,f99,f78,f101,f74,f121,f124,f33,f21,f14,f11,f9,f15,f27,f61,f392,f395,f404,f24,f6,f18,f30,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f391,f644,f4,f729,f1107,f1114,f10,f16,f22,f28,f38,f72,f13,f19,f25,f7]) ).

fof(f1657,plain,
    ( spl0_1
    | ~ spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1656]) ).

fof(f1656,plain,
    ( $false
    | spl0_1
    | ~ spl0_6
    | spl0_10 ),
    inference(global_subsumption,[],[f1112,f1,f2,f12,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f76,f90,f77,f91,f99,f78,f101,f74,f121,f124,f33,f21,f14,f11,f9,f15,f27,f61,f392,f395,f404,f24,f6,f18,f30,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f391,f644,f4,f729,f1107,f1114,f10,f16,f22,f28,f38,f72,f13,f19,f25,f7]) ).

fof(f1655,plain,
    ( spl0_1
    | spl0_10
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1654]) ).

fof(f1654,plain,
    ( $false
    | spl0_1
    | spl0_10
    | spl0_11 ),
    inference(global_subsumption,[],[f1184,f1,f2,f12,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f76,f90,f77,f91,f99,f78,f101,f74,f121,f124,f33,f21,f14,f11,f9,f15,f27,f61,f392,f395,f404,f24,f6,f18,f30,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f391,f644,f4,f729,f1107,f1114,f10,f16,f22,f28,f38,f72,f13,f19,f25,f7]) ).

fof(f1653,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1652]) ).

fof(f1652,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1383,f1,f2,f12,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f76,f90,f77,f91,f99,f78,f101,f74,f121,f124,f33,f21,f14,f11,f9,f15,f27,f61,f392,f395,f404,f24,f6,f18,f30,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f391,f644,f4,f729,f1107,f1114,f10,f16,f22,f28,f38,f72,f13,f19,f25,f7]) ).

fof(f1651,plain,
    ( spl0_1
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1650]) ).

fof(f1650,plain,
    ( $false
    | spl0_1
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f12,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f76,f90,f77,f91,f99,f78,f101,f74,f121,f124,f33,f21,f14,f11,f9,f15,f27,f61,f392,f395,f404,f24,f6,f18,f30,f35,f32,f31,f29,f20,f17,f8,f5,f26,f23,f391,f644,f4,f729,f1107,f1114,f10,f16,f22,f28,f38,f72,f13,f19,f25,f7]) ).

fof(f1649,plain,
    ( spl0_1
    | ~ spl0_5
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1648]) ).

fof(f1648,plain,
    ( $false
    | spl0_1
    | ~ spl0_5
    | spl0_10 ),
    inference(global_subsumption,[],[f1377,f1,f2,f12,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f76,f90,f77,f91,f99,f78,f101,f74,f121,f124,f33,f21,f14,f11,f9,f15,f27,f61,f392,f395,f404,f24,f6,f18,f30,f35,f32,f31,f29,f20,f17,f8,f7,f5,f26,f23,f391,f644,f4,f729,f1107,f1114,f10,f16,f22,f28,f38,f72,f13,f19,f25]) ).

fof(f1647,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1646]) ).

fof(f1646,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1525,f1,f2,f12,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f76,f90,f77,f91,f99,f78,f101,f74,f121,f124,f33,f21,f14,f11,f9,f15,f27,f61,f392,f395,f404,f24,f6,f18,f30,f35,f32,f31,f29,f20,f17,f8,f7,f5,f26,f23,f391,f644,f4,f729,f1107,f1114,f10,f16,f22,f28,f38,f72,f13,f19,f25]) ).

fof(f1645,plain,
    ( spl0_1
    | spl0_10
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1644]) ).

fof(f1644,plain,
    ( $false
    | spl0_1
    | spl0_10
    | spl0_12 ),
    inference(global_subsumption,[],[f1188,f1,f2,f12,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f76,f90,f77,f91,f99,f78,f101,f74,f121,f124,f33,f21,f14,f11,f9,f15,f27,f61,f392,f395,f404,f24,f6,f18,f30,f35,f32,f31,f29,f20,f17,f8,f7,f5,f26,f23,f391,f644,f4,f729,f1107,f1114,f10,f16,f22,f28,f38,f72,f13,f19,f25]) ).

fof(f1643,plain,
    ( spl0_1
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1642]) ).

fof(f1642,plain,
    ( $false
    | spl0_1
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f12,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f76,f90,f77,f91,f99,f78,f101,f74,f121,f124,f33,f21,f14,f11,f9,f15,f27,f61,f392,f395,f404,f24,f6,f18,f30,f35,f32,f31,f29,f20,f17,f8,f7,f5,f26,f23,f391,f644,f4,f729,f1107,f1114,f10,f16,f22,f28,f38,f72,f13,f19,f25]) ).

fof(f1641,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1640]) ).

fof(f1640,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1552,f1,f2,f12,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f76,f90,f77,f91,f99,f78,f101,f74,f121,f124,f33,f21,f14,f11,f9,f15,f27,f61,f392,f395,f404,f24,f6,f18,f30,f35,f32,f31,f29,f20,f17,f8,f7,f5,f26,f25,f23,f391,f644,f4,f729,f1107,f1114,f10,f16,f22,f28,f38,f72,f13,f19]) ).

fof(f1639,plain,
    ( spl0_1
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1638]) ).

fof(f1638,plain,
    ( $false
    | spl0_1
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f726,f1,f2,f12,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f76,f90,f77,f91,f99,f78,f101,f74,f121,f124,f33,f21,f14,f11,f9,f15,f27,f61,f392,f395,f404,f24,f6,f18,f30,f35,f32,f31,f29,f20,f17,f8,f7,f5,f26,f25,f23,f391,f644,f4,f729,f1107,f1114,f10,f16,f22,f28,f38,f72,f13,f19]) ).

fof(f1637,plain,
    ( spl0_1
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1636]) ).

fof(f1636,plain,
    ( $false
    | spl0_1
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f766,f1,f2,f12,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f76,f90,f77,f91,f99,f78,f101,f74,f121,f124,f33,f21,f14,f11,f9,f15,f27,f61,f392,f395,f404,f24,f6,f18,f30,f35,f32,f31,f29,f20,f17,f8,f7,f5,f26,f25,f23,f391,f644,f4,f729,f1107,f1114,f10,f16,f22,f28,f38,f72,f13,f19]) ).

fof(f1635,plain,
    ( spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1634]) ).

fof(f1634,plain,
    ( $false
    | spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f732,f1,f2,f12,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f76,f90,f77,f91,f99,f78,f101,f74,f121,f124,f33,f21,f14,f11,f9,f15,f27,f61,f392,f395,f404,f24,f6,f18,f30,f35,f32,f31,f29,f20,f17,f8,f7,f5,f26,f25,f23,f391,f644,f4,f729,f1107,f1114,f10,f16,f22,f28,f38,f72,f13,f19]) ).

fof(f1633,plain,
    ( spl0_1
    | ~ spl0_5
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1632]) ).

fof(f1632,plain,
    ( $false
    | spl0_1
    | ~ spl0_5
    | spl0_10 ),
    inference(global_subsumption,[],[f1066,f1,f2,f12,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f76,f90,f77,f91,f99,f78,f101,f74,f121,f124,f33,f21,f14,f11,f9,f15,f27,f61,f392,f395,f404,f24,f6,f18,f30,f35,f32,f31,f29,f20,f17,f8,f7,f5,f26,f25,f23,f391,f644,f4,f729,f1107,f1114,f10,f16,f22,f28,f38,f72,f13,f19]) ).

fof(f1631,plain,
    ( spl0_1
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1630]) ).

fof(f1630,plain,
    ( $false
    | spl0_1
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f12,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f76,f90,f77,f91,f99,f78,f101,f74,f121,f124,f33,f21,f14,f11,f9,f15,f27,f61,f392,f395,f404,f24,f6,f18,f30,f35,f32,f31,f29,f20,f17,f8,f7,f5,f26,f25,f23,f391,f644,f4,f729,f1107,f1114,f10,f16,f22,f28,f38,f72,f13,f19]) ).

fof(f1629,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1628]) ).

fof(f1628,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f951,f1,f2,f12,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f76,f90,f77,f91,f99,f78,f101,f74,f121,f124,f33,f21,f14,f11,f9,f15,f27,f61,f392,f395,f404,f24,f6,f18,f30,f35,f32,f31,f29,f20,f19,f17,f8,f7,f5,f26,f25,f23,f391,f644,f4,f729,f1107,f1114,f10,f16,f22,f28,f38,f72,f13]) ).

fof(f1627,plain,
    ( spl0_1
    | ~ spl0_5
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1626]) ).

fof(f1626,plain,
    ( $false
    | spl0_1
    | ~ spl0_5
    | spl0_10 ),
    inference(global_subsumption,[],[f1625,f1,f2,f12,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f76,f90,f77,f91,f99,f78,f101,f74,f121,f124,f33,f21,f14,f11,f9,f15,f27,f61,f392,f395,f404,f24,f6,f18,f30,f35,f32,f31,f29,f20,f19,f17,f8,f7,f5,f26,f25,f23,f391,f644,f4,f729,f1107,f1114,f10,f16,f22,f28,f38,f72,f13]) ).

fof(f1624,plain,
    ( spl0_1
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1623]) ).

fof(f1623,plain,
    ( $false
    | spl0_1
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f12,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f76,f90,f77,f91,f99,f78,f101,f74,f121,f124,f33,f21,f14,f11,f9,f15,f27,f61,f392,f395,f404,f24,f6,f18,f30,f35,f32,f31,f29,f20,f19,f17,f8,f7,f5,f26,f25,f23,f391,f644,f4,f729,f1107,f1114,f10,f16,f22,f28,f38,f72,f13]) ).

fof(f1622,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1621]) ).

fof(f1621,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1620,f1,f2,f12,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f76,f90,f77,f91,f99,f78,f101,f74,f121,f124,f33,f21,f14,f13,f11,f9,f15,f27,f61,f392,f395,f404,f24,f6,f18,f30,f35,f32,f31,f29,f20,f19,f17,f8,f7,f5,f26,f25,f23,f391,f644,f4,f729,f1107,f1114,f10,f16,f22,f28,f38,f72]) ).

fof(f1619,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1618]) ).

fof(f1618,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f140,f1,f2,f12,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f76,f90,f77,f91,f99,f78,f101,f74,f121,f124,f33,f21,f14,f13,f11,f9,f15,f27,f61,f392,f395,f404,f24,f6,f18,f30,f35,f32,f31,f29,f20,f19,f17,f8,f7,f5,f26,f25,f23,f391,f644,f4,f729,f1107,f1114,f10,f16,f22,f28,f38,f72]) ).

fof(f1617,plain,
    ( spl0_1
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1616]) ).

fof(f1616,plain,
    ( $false
    | spl0_1
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f12,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f76,f90,f77,f91,f99,f78,f101,f74,f121,f124,f33,f21,f14,f13,f11,f9,f15,f27,f61,f392,f395,f404,f24,f6,f18,f30,f35,f32,f31,f29,f20,f19,f17,f8,f7,f5,f26,f25,f23,f391,f644,f4,f729,f1107,f1114,f10,f16,f22,f28,f38,f72]) ).

fof(f1615,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1614]) ).

fof(f1614,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f158,f1,f2,f12,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f72,f76,f90,f77,f91,f99,f78,f101,f74,f121,f124,f33,f21,f14,f13,f11,f9,f15,f27,f61,f392,f395,f404,f24,f6,f18,f30,f35,f32,f31,f29,f20,f19,f17,f8,f7,f5,f26,f25,f23,f391,f644,f4,f729,f1107,f1114,f10,f16,f22,f28,f38]) ).

fof(f1613,plain,
    ( spl0_1
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1612]) ).

fof(f1612,plain,
    ( $false
    | spl0_1
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f12,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f72,f76,f90,f77,f91,f99,f78,f101,f74,f121,f124,f33,f21,f14,f13,f11,f9,f15,f27,f61,f392,f395,f404,f24,f6,f18,f30,f35,f32,f31,f29,f20,f19,f17,f8,f7,f5,f26,f25,f23,f391,f644,f4,f729,f1107,f1114,f10,f16,f22,f28,f38]) ).

fof(f1611,plain,
    ( spl0_1
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1610]) ).

fof(f1610,plain,
    ( $false
    | spl0_1
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f12,f38,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f72,f76,f90,f77,f91,f99,f78,f101,f74,f121,f124,f33,f21,f14,f13,f11,f9,f15,f27,f61,f392,f395,f404,f24,f6,f18,f30,f35,f32,f31,f29,f20,f19,f17,f8,f7,f5,f26,f25,f23,f391,f644,f4,f729,f1107,f1114,f10,f16,f22,f28]) ).

fof(f1609,plain,
    ( spl0_1
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1608]) ).

fof(f1608,plain,
    ( $false
    | spl0_1
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f12,f38,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f72,f76,f90,f77,f91,f99,f78,f101,f74,f121,f124,f33,f21,f14,f13,f11,f9,f15,f27,f61,f392,f395,f404,f24,f6,f18,f30,f35,f32,f31,f29,f20,f19,f17,f8,f7,f5,f26,f25,f23,f391,f644,f4,f729,f1107,f1114,f28,f10,f16,f22]) ).

fof(f1607,plain,
    ( spl0_1
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1606]) ).

fof(f1606,plain,
    ( $false
    | spl0_1
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f12,f38,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f72,f76,f90,f77,f91,f99,f78,f101,f74,f121,f124,f33,f21,f14,f13,f11,f9,f15,f27,f61,f392,f395,f404,f24,f6,f18,f30,f35,f32,f31,f29,f20,f19,f17,f8,f7,f5,f26,f25,f23,f22,f391,f644,f4,f729,f1107,f1114,f28,f10,f16]) ).

fof(f1605,plain,
    ( spl0_1
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1604]) ).

fof(f1604,plain,
    ( $false
    | spl0_1
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f12,f38,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f72,f76,f90,f77,f91,f99,f78,f101,f74,f121,f124,f33,f21,f14,f13,f11,f9,f15,f27,f61,f392,f395,f404,f24,f6,f18,f30,f35,f32,f31,f29,f20,f19,f17,f16,f8,f7,f5,f26,f25,f23,f22,f391,f644,f4,f729,f1107,f1114,f28,f10]) ).

fof(f1602,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1601]) ).

fof(f1601,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_11
    | spl0_12 ),
    inference(subsumption_resolution,[],[f1600,f1533]) ).

fof(f1533,plain,
    ( identity != sk_c7
    | ~ spl0_5
    | ~ spl0_11
    | spl0_12 ),
    inference(forward_demodulation,[],[f1532,f1185]) ).

fof(f1532,plain,
    ( sk_c7 != sk_c8
    | ~ spl0_5
    | ~ spl0_11
    | spl0_12 ),
    inference(forward_demodulation,[],[f1531,f1]) ).

fof(f1531,plain,
    ( sk_c8 != multiply(identity,sk_c7)
    | ~ spl0_5
    | ~ spl0_11
    | spl0_12 ),
    inference(forward_demodulation,[],[f1188,f1417]) ).

fof(f1600,plain,
    ( identity = sk_c7
    | spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f158,f1455]) ).

fof(f1455,plain,
    ( identity = inverse(identity)
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1444,f1185]) ).

fof(f1444,plain,
    ( sk_c8 = inverse(identity)
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(superposition,[],[f208,f1417]) ).

fof(f1599,plain,
    ( spl0_1
    | ~ spl0_5
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1598]) ).

fof(f1598,plain,
    ( $false
    | spl0_1
    | ~ spl0_5
    | ~ spl0_11
    | spl0_12 ),
    inference(subsumption_resolution,[],[f1597,f1533]) ).

fof(f1586,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1585]) ).

fof(f1585,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11
    | spl0_12 ),
    inference(subsumption_resolution,[],[f1584,f1533]) ).

fof(f1584,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11
    | spl0_12 ),
    inference(forward_demodulation,[],[f1583,f1]) ).

fof(f1583,plain,
    ( sk_c7 = multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11
    | spl0_12 ),
    inference(forward_demodulation,[],[f1582,f1185]) ).

fof(f1582,plain,
    ( sk_c7 = multiply(sk_c8,identity)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11
    | spl0_12 ),
    inference(superposition,[],[f730,f1577]) ).

fof(f1577,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f33,f21,f14,f13,f11,f10,f9,f15,f39,f200,f202,f27,f208,f214,f216,f61,f392,f395,f404,f24,f6,f18,f30,f35,f418,f400,f32,f31,f29,f20,f19,f17,f16,f8,f7,f5,f26,f25,f23,f22,f416,f617,f618,f615,f391,f644,f647,f401,f651,f652,f654,f655,f648,f660,f661,f649,f657,f650,f4,f634,f747,f636,f793,f792,f798,f796,f799,f801,f745,f827,f829,f791,f856,f857,f851,f872,f871,f28,f1067,f1007,f1163,f1185,f1414,f1415,f1397,f1398,f1416,f1401,f1402,f1403,f1404,f1418,f1408,f1422,f1410,f1411,f1412,f1413,f1417,f1455,f1533,f1528,f1549,f1546,f1517,f1521]) ).

fof(f1521,plain,
    ( sk_c6 = multiply(sk_c7,identity)
    | identity = sk_c6
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1377,f1185]) ).

fof(f1528,plain,
    ( identity = sk_c7
    | identity = sk_c6
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1527,f1185]) ).

fof(f1527,plain,
    ( sk_c7 = sk_c8
    | identity = sk_c6
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1526,f1]) ).

fof(f1526,plain,
    ( sk_c8 = multiply(identity,sk_c7)
    | identity = sk_c6
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1067,f1417]) ).

fof(f1413,plain,
    ( sk_c5 = inverse(identity)
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(superposition,[],[f871,f1185]) ).

fof(f1412,plain,
    ( identity = multiply(identity,inverse(identity))
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(superposition,[],[f851,f1185]) ).

fof(f1411,plain,
    ( identity = multiply(inverse(inverse(inverse(identity))),identity)
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(superposition,[],[f796,f1185]) ).

fof(f1410,plain,
    ( identity = multiply(inverse(inverse(identity)),identity)
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(superposition,[],[f792,f1185]) ).

fof(f1422,plain,
    ( ! [X0] : multiply(inverse(inverse(identity)),X0) = X0
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1409,f1]) ).

fof(f1409,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(identity)),X0)
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(superposition,[],[f791,f1185]) ).

fof(f1408,plain,
    ( identity = multiply(inverse(inverse(inverse(inverse(identity)))),sk_c5)
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(superposition,[],[f745,f1185]) ).

fof(f1418,plain,
    ( ! [X0] : multiply(sk_c5,X0) = X0
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1405,f1]) ).

fof(f1405,plain,
    ( ! [X0] : multiply(sk_c5,multiply(identity,X0)) = X0
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(superposition,[],[f650,f1185]) ).

fof(f1404,plain,
    ( identity = multiply(sk_c5,identity)
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(superposition,[],[f648,f1185]) ).

fof(f1403,plain,
    ( ! [X0] : multiply(inverse(inverse(identity)),multiply(sk_c5,X0)) = X0
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(superposition,[],[f636,f1185]) ).

fof(f1402,plain,
    ( sk_c5 = multiply(inverse(inverse(inverse(identity))),identity)
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(superposition,[],[f634,f1185]) ).

fof(f1401,plain,
    ( identity = multiply(inverse(inverse(identity)),sk_c5)
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(superposition,[],[f615,f1185]) ).

fof(f1416,plain,
    ( ! [X0] : multiply(sk_c5,X0) = X0
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1399,f391]) ).

fof(f1399,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(inverse(identity),X0)
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(superposition,[],[f401,f1185]) ).

fof(f1398,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c5,X0)) = X0
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(superposition,[],[f216,f1185]) ).

fof(f1397,plain,
    ( identity = multiply(identity,sk_c5)
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(superposition,[],[f214,f1185]) ).

fof(f1415,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c5,X0)) = X0
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1396,f618]) ).

fof(f1396,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c1,X0)) = X0
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(superposition,[],[f202,f1185]) ).

fof(f1414,plain,
    ( identity = multiply(identity,sk_c5)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1395,f618]) ).

fof(f1395,plain,
    ( identity = multiply(identity,sk_c1)
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(superposition,[],[f200,f1185]) ).

fof(f1574,plain,
    ( ~ spl0_5
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1573]) ).

fof(f1573,plain,
    ( $false
    | ~ spl0_5
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f33,f21,f14,f13,f11,f10,f9,f15,f27,f208,f214,f216,f219,f220,f221,f223,f225,f226,f227,f229,f230,f233,f251,f235,f252,f237,f254,f234,f279,f274,f61,f392,f395,f404,f458,f533,f528,f578,f417,f466,f462,f581,f584,f446,f435,f398,f587,f589,f277,f590,f591,f592,f593,f594,f596,f597,f598,f24,f6,f18,f30,f35,f32,f31,f29,f20,f19,f17,f16,f8,f7,f5,f26,f25,f23,f22,f416,f617,f615,f391,f644,f401,f651,f652,f654,f655,f648,f660,f661,f649,f657,f650,f4,f634,f747,f636,f793,f792,f798,f796,f799,f801,f745,f827,f829,f791,f856,f857,f851,f872,f871,f28,f1185,f1397,f1398,f1416,f1401,f1402,f1403,f1404,f1418,f1408,f1422,f1410,f1411,f1412,f1413,f1417,f1455,f1533,f1521,f1517,f1546,f1549,f1558,f457,f211]) ).

fof(f1558,plain,
    ( identity = sk_c7
    | ~ spl0_5
    | spl0_6
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f230,f1185]) ).

fof(f597,plain,
    ( sk_c4 = inverse(sk_c3)
    | ~ spl0_5
    | spl0_6 ),
    inference(global_subsumption,[],[f596,f24,f30,f18,f6,f1,f2,f12,f3,f35,f32,f31,f29,f28,f20,f19,f17,f16,f8,f7,f5,f4,f33,f26,f25,f23,f22,f21,f14,f13,f11,f10,f9,f15,f27,f211,f219,f220,f221,f223,f225,f226,f227,f229,f61,f392,f395,f404,f391]) ).

fof(f596,plain,
    ( identity = multiply(sk_c7,sk_c7)
    | sk_c4 = inverse(sk_c3)
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f595,f230]) ).

fof(f595,plain,
    ( identity = multiply(sk_c7,sk_c8)
    | sk_c4 = inverse(sk_c3)
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f6,f457]) ).

fof(f594,plain,
    ( sk_c4 = inverse(sk_c3)
    | ~ spl0_5
    | spl0_6 ),
    inference(global_subsumption,[],[f593,f24,f30,f18,f6,f1,f2,f12,f3,f35,f32,f31,f29,f28,f20,f19,f17,f16,f8,f7,f5,f4,f33,f26,f25,f23,f22,f21,f14,f13,f11,f10,f9,f15,f27,f211,f219,f220,f221,f223,f225,f226,f227,f229,f61,f392,f395,f404,f391]) ).

fof(f593,plain,
    ( sk_c7 = multiply(sk_c1,sk_c7)
    | sk_c4 = inverse(sk_c3)
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f18,f230]) ).

fof(f592,plain,
    ( sk_c4 = inverse(sk_c3)
    | ~ spl0_5
    | spl0_6 ),
    inference(global_subsumption,[],[f591,f24,f30,f18,f6,f1,f2,f12,f3,f35,f32,f31,f29,f28,f20,f19,f17,f16,f8,f7,f5,f4,f33,f26,f25,f23,f22,f21,f14,f13,f11,f10,f9,f15,f27,f211,f219,f220,f221,f223,f225,f226,f227,f229,f61,f392,f395,f404,f391]) ).

fof(f591,plain,
    ( sk_c7 = multiply(sk_c2,identity)
    | sk_c4 = inverse(sk_c3)
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f30,f457]) ).

fof(f590,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c4,X0))
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f223,f230]) ).

fof(f277,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c4,multiply(sk_c7,X0))
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f226,f230]) ).

fof(f589,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c7,X0)) = X0
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f588,f1]) ).

fof(f588,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c7,X0))
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f279,f457]) ).

fof(f587,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c7,X0)) = X0
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f586,f1]) ).

fof(f586,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c7,X0))
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f254,f457]) ).

fof(f398,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(inverse(sk_c7),X0)
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f61,f234]) ).

fof(f435,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(inverse(sk_c7),X0)
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f401,f230]) ).

fof(f584,plain,
    ( sk_c7 = multiply(sk_c7,identity)
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f583,f230]) ).

fof(f583,plain,
    ( sk_c7 = multiply(sk_c8,identity)
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f582,f208]) ).

fof(f582,plain,
    ( sk_c7 = multiply(inverse(sk_c5),identity)
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f408,f457]) ).

fof(f408,plain,
    ( sk_c7 = multiply(inverse(sk_c5),sk_c6)
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f61,f237]) ).

fof(f581,plain,
    ( sk_c7 = multiply(sk_c7,identity)
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f580,f230]) ).

fof(f580,plain,
    ( sk_c8 = multiply(sk_c8,identity)
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f579,f208]) ).

fof(f579,plain,
    ( sk_c8 = multiply(inverse(sk_c5),identity)
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f410,f457]) ).

fof(f410,plain,
    ( sk_c8 = multiply(inverse(sk_c5),sk_c6)
    | spl0_6 ),
    inference(superposition,[],[f61,f227]) ).

fof(f462,plain,
    ( sk_c4 = multiply(inverse(sk_c3),sk_c7)
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f415,f230]) ).

fof(f415,plain,
    ( sk_c4 = multiply(inverse(sk_c3),sk_c8)
    | spl0_6 ),
    inference(superposition,[],[f61,f221]) ).

fof(f466,plain,
    ( sk_c5 = multiply(inverse(sk_c7),identity)
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f416,f230]) ).

fof(f417,plain,
    ( sk_c5 = multiply(inverse(sk_c7),identity)
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f61,f233]) ).

fof(f578,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(sk_c7,sk_c7)
        | sk_c7 != multiply(X5,inverse(X5))
        | sk_c7 != multiply(inverse(X5),sk_c7)
        | sk_c7 != multiply(X3,sk_c7)
        | sk_c7 != multiply(X4,identity)
        | identity != multiply(X7,sk_c7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X7)
        | sk_c7 != inverse(X4) )
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f577,f230]) ).

fof(f577,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(sk_c7,sk_c8)
        | sk_c7 != multiply(X5,inverse(X5))
        | sk_c7 != multiply(inverse(X5),sk_c7)
        | sk_c7 != multiply(X3,sk_c7)
        | sk_c7 != multiply(X4,identity)
        | identity != multiply(X7,sk_c7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X7)
        | sk_c7 != inverse(X4) )
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f576,f457]) ).

fof(f576,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != multiply(X5,inverse(X5))
        | sk_c7 != multiply(inverse(X5),sk_c7)
        | sk_c7 != multiply(X3,sk_c7)
        | sk_c7 != multiply(X4,identity)
        | identity != multiply(X7,sk_c7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X7)
        | sk_c7 != inverse(X4)
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f575,f230]) ).

fof(f575,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != multiply(inverse(X5),sk_c7)
        | sk_c7 != multiply(X3,sk_c7)
        | sk_c7 != multiply(X4,identity)
        | identity != multiply(X7,sk_c7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X7)
        | sk_c7 != inverse(X4)
        | sk_c8 != multiply(X5,inverse(X5))
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f574,f230]) ).

fof(f574,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != multiply(X3,sk_c7)
        | sk_c7 != multiply(X4,identity)
        | identity != multiply(X7,sk_c7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X7)
        | sk_c7 != inverse(X4)
        | sk_c8 != multiply(inverse(X5),sk_c7)
        | sk_c8 != multiply(X5,inverse(X5))
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f573,f230]) ).

fof(f573,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != multiply(X4,identity)
        | identity != multiply(X7,sk_c7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X7)
        | sk_c7 != inverse(X4)
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(inverse(X5),sk_c7)
        | sk_c8 != multiply(X5,inverse(X5))
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f572,f457]) ).

fof(f572,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(X7,sk_c7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X7)
        | sk_c7 != inverse(X4)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(inverse(X5),sk_c7)
        | sk_c8 != multiply(X5,inverse(X5))
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f571,f457]) ).

fof(f571,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c6 != multiply(X7,sk_c7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X7)
        | sk_c7 != inverse(X4)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(inverse(X5),sk_c7)
        | sk_c8 != multiply(X5,inverse(X5))
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f570,f230]) ).

fof(f570,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != inverse(X3)
        | sk_c7 != inverse(X7)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(X7,sk_c8)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(inverse(X5),sk_c7)
        | sk_c8 != multiply(X5,inverse(X5))
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f569,f230]) ).

fof(f569,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != inverse(X7)
        | sk_c7 != inverse(X4)
        | sk_c8 != inverse(X3)
        | sk_c6 != multiply(X7,sk_c8)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(inverse(X5),sk_c7)
        | sk_c8 != multiply(X5,inverse(X5))
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f502,f230]) ).

fof(f502,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != inverse(X4)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X3)
        | sk_c6 != multiply(X7,sk_c8)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(inverse(X5),sk_c7)
        | sk_c8 != multiply(X5,inverse(X5))
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | spl0_6 ),
    inference(subsumption_resolution,[],[f35,f219]) ).

fof(f528,plain,
    ( sk_c7 = multiply(sk_c7,identity)
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f235,f457]) ).

fof(f533,plain,
    ( sk_c7 = multiply(sk_c7,identity)
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f529,f230]) ).

fof(f529,plain,
    ( sk_c7 = multiply(sk_c8,identity)
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f219,f457]) ).

fof(f458,plain,
    ( identity = sk_c6
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f412,f2]) ).

fof(f412,plain,
    ( sk_c6 = multiply(inverse(sk_c7),sk_c7)
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f61,f235]) ).

fof(f274,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c6,X0))
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f220,f230]) ).

fof(f279,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c5,multiply(sk_c7,X0))
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f229,f230]) ).

fof(f254,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c5,multiply(sk_c7,X0))
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f3,f237]) ).

fof(f237,plain,
    ( sk_c6 = multiply(sk_c5,sk_c7)
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f227,f230]) ).

fof(f252,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c6,X0))
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f3,f235]) ).

fof(f251,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c5,X0)) = X0
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f250,f1]) ).

fof(f250,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c5,X0))
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f3,f233]) ).

fof(f1572,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1571]) ).

fof(f1571,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f309,f1,f2,f12,f3,f33,f21,f14,f13,f11,f10,f9,f15,f27,f208,f211,f214,f216,f219,f220,f221,f223,f225,f226,f227,f229,f230,f233,f251,f235,f252,f237,f254,f234,f279,f274,f61,f392,f395,f404,f458,f533,f528,f578,f417,f466,f462,f581,f584,f446,f435,f398,f587,f589,f277,f590,f591,f592,f593,f594,f596,f597,f598,f24,f6,f18,f30,f35,f32,f31,f29,f20,f19,f17,f16,f8,f7,f5,f26,f25,f23,f22,f416,f617,f615,f391,f644,f401,f651,f652,f654,f655,f648,f660,f661,f649,f657,f650,f4,f634,f747,f636,f793,f792,f798,f796,f799,f801,f745,f827,f829,f791,f856,f857,f851,f872,f871,f28,f1185,f1397,f1398,f1416,f1401,f1402,f1403,f1404,f1418,f1408,f1422,f1410,f1411,f1412,f1413,f1417,f1455,f1533,f1521,f1517,f1546,f1549,f1558,f457]) ).

fof(f1570,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1569]) ).

fof(f1569,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f239,f1,f2,f12,f3,f33,f21,f14,f13,f11,f10,f9,f15,f27,f208,f211,f214,f216,f219,f220,f221,f223,f225,f226,f227,f229,f230,f233,f251,f235,f252,f237,f254,f234,f279,f274,f61,f392,f395,f404,f458,f533,f528,f578,f417,f466,f462,f581,f584,f446,f435,f398,f587,f589,f277,f590,f591,f592,f593,f594,f596,f597,f598,f24,f6,f18,f30,f35,f32,f31,f29,f20,f19,f17,f16,f8,f7,f5,f26,f25,f23,f22,f416,f617,f615,f391,f644,f401,f651,f652,f654,f655,f648,f660,f661,f649,f657,f650,f4,f634,f747,f636,f793,f792,f798,f796,f799,f801,f745,f827,f829,f791,f856,f857,f851,f872,f871,f28,f1185,f1397,f1398,f1416,f1401,f1402,f1403,f1404,f1418,f1408,f1422,f1410,f1411,f1412,f1413,f1417,f1455,f1533,f1521,f1517,f1546,f1549,f1558,f457]) ).

fof(f1568,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1567]) ).

fof(f1567,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f310,f1,f2,f12,f3,f33,f21,f14,f13,f11,f10,f9,f15,f27,f208,f211,f214,f216,f219,f220,f221,f223,f225,f226,f227,f229,f230,f233,f251,f235,f252,f237,f254,f234,f279,f274,f61,f392,f395,f404,f458,f533,f528,f578,f417,f466,f462,f581,f584,f446,f435,f398,f587,f589,f277,f590,f591,f592,f593,f594,f596,f597,f598,f24,f6,f18,f30,f35,f32,f31,f29,f20,f19,f17,f16,f8,f7,f5,f26,f25,f23,f22,f416,f617,f615,f391,f644,f401,f651,f652,f654,f655,f648,f660,f661,f649,f657,f650,f4,f634,f747,f636,f793,f792,f798,f796,f799,f801,f745,f827,f829,f791,f856,f857,f851,f872,f871,f28,f1185,f1397,f1398,f1416,f1401,f1402,f1403,f1404,f1418,f1408,f1422,f1410,f1411,f1412,f1413,f1417,f1455,f1533,f1521,f1517,f1546,f1549,f1558,f457]) ).

fof(f1566,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1565]) ).

fof(f1565,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f312,f1,f2,f12,f3,f33,f21,f14,f13,f11,f10,f9,f15,f27,f208,f211,f214,f216,f219,f220,f221,f223,f225,f226,f227,f229,f230,f233,f251,f235,f252,f237,f254,f234,f279,f274,f61,f392,f395,f404,f458,f533,f528,f578,f417,f466,f462,f581,f584,f446,f435,f398,f587,f589,f277,f590,f591,f592,f593,f594,f596,f597,f598,f24,f6,f18,f30,f35,f32,f31,f29,f20,f19,f17,f16,f8,f7,f5,f26,f25,f23,f22,f416,f617,f615,f391,f644,f401,f651,f652,f654,f655,f648,f660,f661,f649,f657,f650,f4,f634,f747,f636,f793,f792,f798,f796,f799,f801,f745,f827,f829,f791,f856,f857,f851,f872,f871,f28,f1185,f1397,f1398,f1416,f1401,f1402,f1403,f1404,f1418,f1408,f1422,f1410,f1411,f1412,f1413,f1417,f1455,f1533,f1521,f1517,f1546,f1549,f1558,f457]) ).

fof(f312,plain,
    ( identity = sk_c1
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f298,f231]) ).

fof(f231,plain,
    ( identity = multiply(sk_c7,sk_c1)
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f200,f230]) ).

fof(f1564,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1563]) ).

fof(f1563,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f448,f1,f2,f12,f3,f33,f21,f14,f13,f11,f10,f9,f15,f27,f208,f211,f214,f216,f219,f220,f221,f223,f225,f226,f227,f229,f230,f233,f251,f235,f252,f237,f254,f234,f279,f274,f61,f392,f395,f404,f458,f533,f528,f578,f417,f466,f462,f581,f584,f446,f435,f398,f587,f589,f277,f590,f591,f592,f593,f594,f596,f597,f598,f24,f6,f18,f30,f35,f32,f31,f29,f20,f19,f17,f16,f8,f7,f5,f26,f25,f23,f22,f416,f617,f615,f391,f644,f401,f651,f652,f654,f655,f648,f660,f661,f649,f657,f650,f4,f634,f747,f636,f793,f792,f798,f796,f799,f801,f745,f827,f829,f791,f856,f857,f851,f872,f871,f28,f1185,f1397,f1398,f1416,f1401,f1402,f1403,f1404,f1418,f1408,f1422,f1410,f1411,f1412,f1413,f1417,f1455,f1533,f1521,f1517,f1546,f1549,f1558,f457]) ).

fof(f1562,plain,
    ( ~ spl0_5
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1561]) ).

fof(f1561,plain,
    ( $false
    | ~ spl0_5
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f33,f21,f14,f13,f11,f10,f9,f15,f27,f208,f211,f214,f216,f219,f220,f221,f223,f225,f226,f227,f229,f230,f233,f251,f235,f252,f237,f254,f234,f279,f274,f61,f392,f395,f404,f458,f533,f528,f578,f417,f466,f462,f581,f584,f446,f435,f398,f587,f589,f277,f590,f591,f592,f593,f594,f596,f597,f598,f24,f6,f18,f30,f35,f32,f31,f29,f20,f19,f17,f16,f8,f7,f5,f26,f25,f23,f22,f416,f617,f615,f391,f644,f401,f651,f652,f654,f655,f648,f660,f661,f649,f657,f650,f4,f634,f747,f636,f793,f792,f798,f796,f799,f801,f745,f827,f829,f791,f856,f857,f851,f872,f871,f28,f1185,f1397,f1398,f1416,f1401,f1402,f1403,f1404,f1418,f1408,f1422,f1410,f1411,f1412,f1413,f1417,f1455,f1533,f1521,f1517,f1546,f1549,f1558,f457]) ).

fof(f1560,plain,
    ( ~ spl0_5
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1559]) ).

fof(f1559,plain,
    ( $false
    | ~ spl0_5
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f33,f21,f14,f13,f11,f10,f9,f15,f27,f208,f211,f214,f216,f219,f220,f221,f223,f225,f226,f227,f229,f230,f233,f251,f235,f252,f237,f254,f234,f279,f274,f61,f392,f395,f404,f458,f457,f533,f528,f578,f417,f466,f462,f581,f584,f446,f435,f398,f587,f589,f277,f590,f591,f592,f593,f594,f596,f597,f598,f24,f6,f18,f30,f35,f32,f31,f29,f20,f19,f17,f16,f8,f7,f5,f26,f25,f23,f22,f416,f617,f615,f391,f644,f401,f651,f652,f654,f655,f648,f660,f661,f649,f657,f650,f4,f634,f747,f636,f793,f792,f798,f796,f799,f801,f745,f827,f829,f791,f856,f857,f851,f872,f871,f28,f1185,f1397,f1398,f1416,f1401,f1402,f1403,f1404,f1418,f1408,f1422,f1410,f1411,f1412,f1413,f1417,f1455,f1533,f1521,f1517,f1546,f1549,f1558]) ).

fof(f1557,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1556]) ).

fof(f1556,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f12,f45,f3,f64,f33,f21,f14,f13,f11,f10,f9,f15,f27,f208,f211,f214,f216,f219,f220,f221,f223,f222,f224,f225,f226,f227,f229,f230,f239,f246,f233,f251,f235,f252,f237,f254,f244,f256,f245,f257,f247,f259,f234,f243,f278,f279,f274,f276,f284,f289,f290,f292,f295,f285,f303,f298,f323,f307,f324,f317,f319,f320,f321,f309,f310,f311,f352,f338,f61,f392,f393,f395,f427,f429,f437,f442,f404,f443,f452,f458,f460,f461,f467,f468,f448,f498,f457,f488,f524,f533,f528,f578,f417,f466,f462,f581,f584,f446,f435,f398,f587,f589,f277,f590,f591,f592,f593,f594,f596,f597,f598,f24,f601,f6,f602,f18,f603,f30,f604,f35,f32,f31,f29,f20,f19,f17,f16,f8,f7,f5,f26,f25,f23,f22,f43,f606,f611,f416,f617,f609,f605,f628,f615,f622,f391,f644,f401,f651,f652,f654,f655,f648,f660,f661,f649,f657,f650,f624,f678,f679,f681,f682,f675,f687,f688,f676,f684,f677,f4,f634,f747,f637,f750,f636,f793,f792,f798,f796,f799,f801,f639,f805,f804,f810,f808,f811,f813,f745,f827,f829,f748,f830,f832,f791,f856,f857,f851,f872,f871,f803,f896,f897,f891,f925,f924,f28,f1185,f1397,f1398,f1416,f1401,f1402,f1403,f1404,f1418,f1408,f1422,f1410,f1411,f1412,f1413,f1417,f1455,f1533,f1521,f1517,f1546,f1549,f1555]) ).

fof(f1555,plain,
    ( identity = sk_c7
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f338,f1455]) ).

fof(f524,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(X5,inverse(X5))
        | identity != multiply(inverse(X5),identity)
        | identity != multiply(X3,identity)
        | identity != multiply(X4,identity)
        | identity != multiply(X7,identity)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | identity != inverse(X4) )
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(subsumption_resolution,[],[f523,f230]) ).

fof(f523,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != sk_c8
        | identity != multiply(X5,inverse(X5))
        | identity != multiply(inverse(X5),identity)
        | identity != multiply(X3,identity)
        | identity != multiply(X4,identity)
        | identity != multiply(X7,identity)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | identity != inverse(X4) )
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f522,f298]) ).

fof(f522,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != multiply(sk_c7,sk_c8)
        | identity != multiply(X5,inverse(X5))
        | identity != multiply(inverse(X5),identity)
        | identity != multiply(X3,identity)
        | identity != multiply(X4,identity)
        | identity != multiply(X7,identity)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | identity != inverse(X4) )
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f521,f309]) ).

fof(f521,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(X5,inverse(X5))
        | identity != multiply(inverse(X5),identity)
        | identity != multiply(X3,identity)
        | identity != multiply(X4,identity)
        | identity != multiply(X7,identity)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | identity != inverse(X4)
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f520,f448]) ).

fof(f520,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != multiply(X5,inverse(X5))
        | identity != multiply(inverse(X5),identity)
        | identity != multiply(X3,identity)
        | identity != multiply(X4,identity)
        | identity != multiply(X7,identity)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | identity != inverse(X4)
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f519,f230]) ).

fof(f519,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(inverse(X5),identity)
        | identity != multiply(X3,identity)
        | identity != multiply(X4,identity)
        | identity != multiply(X7,identity)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | identity != inverse(X4)
        | sk_c8 != multiply(X5,inverse(X5))
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f518,f448]) ).

fof(f518,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != multiply(inverse(X5),identity)
        | identity != multiply(X3,identity)
        | identity != multiply(X4,identity)
        | identity != multiply(X7,identity)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | identity != inverse(X4)
        | sk_c8 != multiply(X5,inverse(X5))
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f517,f230]) ).

fof(f517,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c8 != multiply(inverse(X5),identity)
        | identity != multiply(X3,identity)
        | identity != multiply(X4,identity)
        | identity != multiply(X7,identity)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | identity != inverse(X4)
        | sk_c8 != multiply(X5,inverse(X5))
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f516,f448]) ).

fof(f516,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(X3,identity)
        | identity != multiply(X4,identity)
        | identity != multiply(X7,identity)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | identity != inverse(X4)
        | sk_c8 != multiply(inverse(X5),sk_c7)
        | sk_c8 != multiply(X5,inverse(X5))
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f515,f448]) ).

fof(f515,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != multiply(X3,identity)
        | identity != multiply(X4,identity)
        | identity != multiply(X7,identity)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | identity != inverse(X4)
        | sk_c8 != multiply(inverse(X5),sk_c7)
        | sk_c8 != multiply(X5,inverse(X5))
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f514,f230]) ).

fof(f514,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c8 != multiply(X3,identity)
        | identity != multiply(X4,identity)
        | identity != multiply(X7,identity)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | identity != inverse(X4)
        | sk_c8 != multiply(inverse(X5),sk_c7)
        | sk_c8 != multiply(X5,inverse(X5))
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f513,f448]) ).

fof(f513,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(X4,identity)
        | identity != multiply(X7,identity)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | identity != inverse(X4)
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(inverse(X5),sk_c7)
        | sk_c8 != multiply(X5,inverse(X5))
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f512,f448]) ).

fof(f512,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != multiply(X4,sk_c7)
        | identity != multiply(X7,identity)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | identity != inverse(X4)
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(inverse(X5),sk_c7)
        | sk_c8 != multiply(X5,inverse(X5))
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f511,f309]) ).

fof(f511,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(X7,identity)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | identity != inverse(X4)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(inverse(X5),sk_c7)
        | sk_c8 != multiply(X5,inverse(X5))
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f510,f448]) ).

fof(f510,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != multiply(X7,identity)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | identity != inverse(X4)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(inverse(X5),sk_c7)
        | sk_c8 != multiply(X5,inverse(X5))
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f509,f309]) ).

fof(f509,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c6 != multiply(X7,identity)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | identity != inverse(X4)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(inverse(X5),sk_c7)
        | sk_c8 != multiply(X5,inverse(X5))
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f508,f448]) ).

fof(f508,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c6 != multiply(X7,sk_c7)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | identity != inverse(X4)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(inverse(X5),sk_c7)
        | sk_c8 != multiply(X5,inverse(X5))
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f507,f230]) ).

fof(f507,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X3)
        | identity != inverse(X7)
        | identity != inverse(X4)
        | sk_c6 != multiply(X7,sk_c8)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(inverse(X5),sk_c7)
        | sk_c8 != multiply(X5,inverse(X5))
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f506,f448]) ).

fof(f506,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != inverse(X3)
        | identity != inverse(X7)
        | identity != inverse(X4)
        | sk_c6 != multiply(X7,sk_c8)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(inverse(X5),sk_c7)
        | sk_c8 != multiply(X5,inverse(X5))
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f505,f230]) ).

fof(f505,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X7)
        | identity != inverse(X4)
        | sk_c8 != inverse(X3)
        | sk_c6 != multiply(X7,sk_c8)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(inverse(X5),sk_c7)
        | sk_c8 != multiply(X5,inverse(X5))
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f504,f448]) ).

fof(f504,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != inverse(X7)
        | identity != inverse(X4)
        | sk_c8 != inverse(X3)
        | sk_c6 != multiply(X7,sk_c8)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(inverse(X5),sk_c7)
        | sk_c8 != multiply(X5,inverse(X5))
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f503,f230]) ).

fof(f503,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X4)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X3)
        | sk_c6 != multiply(X7,sk_c8)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(inverse(X5),sk_c7)
        | sk_c8 != multiply(X5,inverse(X5))
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f502,f448]) ).

fof(f498,plain,
    ( identity = sk_c6
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f497,f1]) ).

fof(f497,plain,
    ( sk_c6 = multiply(identity,identity)
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f479,f311]) ).

fof(f479,plain,
    ( sk_c6 = multiply(sk_c5,identity)
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f237,f448]) ).

fof(f468,plain,
    ( identity = multiply(inverse(sk_c7),identity)
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f417,f311]) ).

fof(f467,plain,
    ( identity = multiply(inverse(sk_c7),identity)
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f466,f311]) ).

fof(f461,plain,
    ( identity = multiply(inverse(sk_c7),identity)
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f414,f310]) ).

fof(f414,plain,
    ( sk_c3 = multiply(inverse(sk_c7),identity)
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f61,f244]) ).

fof(f460,plain,
    ( identity = multiply(inverse(sk_c7),identity)
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f459,f310]) ).

fof(f459,plain,
    ( sk_c3 = multiply(inverse(sk_c7),identity)
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f413,f239]) ).

fof(f413,plain,
    ( sk_c3 = multiply(inverse(sk_c4),identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f61,f45]) ).

fof(f443,plain,
    ( identity = sk_c7
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f405,f2]) ).

fof(f405,plain,
    ( sk_c7 = multiply(inverse(sk_c7),sk_c7)
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f61,f245]) ).

fof(f442,plain,
    ( ! [X0] : multiply(inverse(sk_c7),X0) = X0
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f441,f285]) ).

fof(f441,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(sk_c7),X0)
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f403,f239]) ).

fof(f403,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(sk_c4),X0)
    | ~ spl0_2 ),
    inference(superposition,[],[f61,f64]) ).

fof(f437,plain,
    ( ! [X0] : multiply(inverse(sk_c7),X0) = X0
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f436,f1]) ).

fof(f436,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(sk_c7),X0)
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f435,f311]) ).

fof(f429,plain,
    ( ! [X0] : multiply(inverse(sk_c7),X0) = X0
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f428,f1]) ).

fof(f428,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(sk_c7),X0)
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f398,f311]) ).

fof(f427,plain,
    ( ! [X0] : multiply(inverse(sk_c7),X0) = X0
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f397,f285]) ).

fof(f397,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(sk_c7),X0)
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f61,f243]) ).

fof(f393,plain,
    ( ! [X0] : multiply(inverse(sk_c7),X0) = X0
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f61,f298]) ).

fof(f352,plain,
    ( sk_c7 = inverse(identity)
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f345,f230]) ).

fof(f345,plain,
    ( sk_c8 = inverse(identity)
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f208,f311]) ).

fof(f321,plain,
    ( identity = sk_c5
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f233,f298]) ).

fof(f320,plain,
    ( identity = sk_c3
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f244,f298]) ).

fof(f319,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f235,f298]) ).

fof(f317,plain,
    ( ! [X0] : multiply(sk_c5,X0) = X0
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f234,f298]) ).

fof(f324,plain,
    ( ! [X0] : multiply(sk_c6,X0) = X0
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f315,f298]) ).

fof(f315,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c6,X0)
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f274,f298]) ).

fof(f307,plain,
    ( ! [X0] : multiply(sk_c5,X0) = X0
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f298,f234]) ).

fof(f323,plain,
    ( ! [X0] : multiply(sk_c6,X0) = X0
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f305,f298]) ).

fof(f305,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c6,X0)
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f298,f274]) ).

fof(f303,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f299,f239]) ).

fof(f299,plain,
    ( ! [X0] : multiply(sk_c4,X0) = X0
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f64,f285]) ).

fof(f295,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c7,X0))
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f293,f239]) ).

fof(f293,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c4,multiply(sk_c7,X0))
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f64,f276]) ).

fof(f292,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c7,X0))
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f243,f276]) ).

fof(f290,plain,
    ( identity = multiply(sk_c3,identity)
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f276,f233]) ).

fof(f289,plain,
    ( identity = multiply(sk_c3,identity)
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f276,f244]) ).

fof(f284,plain,
    ( ! [X0] : multiply(sk_c3,X0) = X0
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f276,f243]) ).

fof(f278,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c7,X0))
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f277,f239]) ).

fof(f259,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c7,X0))
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f3,f247]) ).

fof(f247,plain,
    ( sk_c7 = multiply(sk_c3,sk_c7)
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f242,f230]) ).

fof(f242,plain,
    ( sk_c8 = multiply(sk_c3,sk_c7)
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f221,f239]) ).

fof(f257,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c7,X0))
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f3,f245]) ).

fof(f245,plain,
    ( sk_c7 = multiply(sk_c7,sk_c7)
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f240,f230]) ).

fof(f240,plain,
    ( sk_c8 = multiply(sk_c7,sk_c7)
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f225,f239]) ).

fof(f256,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f255,f1]) ).

fof(f255,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c3,X0))
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f3,f244]) ).

fof(f246,plain,
    ( sk_c7 = multiply(sk_c7,sk_c7)
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f241,f230]) ).

fof(f241,plain,
    ( sk_c7 = multiply(sk_c7,sk_c8)
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f222,f239]) ).

fof(f1554,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1553]) ).

fof(f1553,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f567,f1,f2,f12,f45,f3,f64,f33,f21,f14,f13,f11,f10,f9,f15,f27,f208,f211,f214,f216,f219,f220,f221,f223,f222,f224,f225,f226,f227,f229,f230,f239,f246,f233,f251,f235,f252,f237,f254,f244,f256,f245,f257,f247,f259,f234,f243,f278,f279,f274,f276,f284,f289,f290,f292,f295,f285,f303,f298,f323,f307,f324,f317,f319,f320,f321,f309,f310,f311,f352,f338,f61,f392,f393,f395,f427,f429,f437,f442,f404,f443,f452,f458,f460,f461,f467,f468,f448,f498,f457,f488,f524,f533,f528,f578,f417,f466,f462,f581,f584,f446,f435,f398,f587,f589,f277,f590,f591,f592,f593,f594,f596,f597,f598,f24,f601,f6,f602,f18,f603,f30,f604,f35,f32,f31,f29,f20,f19,f17,f16,f8,f7,f5,f26,f25,f23,f22,f43,f606,f611,f416,f617,f609,f605,f628,f615,f622,f391,f644,f401,f651,f652,f654,f655,f648,f660,f661,f649,f657,f650,f624,f678,f679,f681,f682,f675,f687,f688,f676,f684,f677,f4,f634,f747,f637,f750,f636,f793,f792,f798,f796,f799,f801,f639,f805,f804,f810,f808,f811,f813,f745,f827,f829,f748,f830,f832,f791,f856,f857,f851,f872,f871,f803,f896,f897,f891,f925,f924,f28,f1185,f1397,f1398,f1416,f1401,f1402,f1403,f1404,f1418,f1408,f1422,f1410,f1411,f1412,f1413,f1417,f1455,f1533,f1521,f1517,f1546,f1549]) ).

fof(f1551,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1550]) ).

fof(f1550,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f12,f45,f3,f64,f33,f21,f14,f13,f11,f10,f9,f15,f27,f208,f211,f214,f216,f219,f220,f221,f223,f222,f224,f225,f226,f227,f229,f230,f239,f246,f233,f251,f235,f252,f237,f254,f244,f256,f245,f257,f247,f259,f234,f243,f278,f279,f274,f276,f284,f289,f290,f292,f295,f285,f303,f298,f323,f307,f324,f317,f319,f320,f321,f309,f310,f311,f352,f338,f61,f392,f393,f395,f427,f429,f437,f442,f404,f443,f452,f458,f460,f461,f467,f468,f448,f498,f457,f488,f524,f533,f528,f578,f417,f466,f462,f581,f584,f446,f435,f398,f587,f589,f277,f590,f591,f592,f593,f594,f596,f597,f598,f24,f601,f6,f602,f18,f603,f30,f604,f35,f32,f31,f29,f20,f19,f17,f16,f8,f7,f5,f26,f25,f23,f22,f43,f606,f611,f416,f617,f609,f605,f628,f615,f622,f391,f644,f401,f651,f652,f654,f655,f648,f660,f661,f649,f657,f650,f624,f678,f679,f681,f682,f675,f687,f688,f676,f684,f677,f4,f634,f747,f637,f750,f636,f793,f792,f798,f796,f799,f801,f639,f805,f804,f810,f808,f811,f813,f745,f827,f829,f748,f830,f832,f791,f856,f857,f851,f872,f871,f803,f896,f897,f891,f925,f924,f28,f1185,f1397,f1398,f1416,f1401,f1402,f1403,f1404,f1418,f1408,f1422,f1410,f1411,f1412,f1413,f1417,f1455,f1533,f1521,f1517,f1546,f1549]) ).

fof(f1548,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1547]) ).

fof(f1547,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f12,f45,f3,f64,f33,f21,f14,f13,f11,f10,f9,f15,f27,f208,f211,f214,f216,f219,f220,f221,f223,f222,f224,f225,f226,f227,f229,f230,f239,f246,f233,f251,f235,f252,f237,f254,f244,f256,f245,f257,f247,f259,f234,f243,f278,f279,f274,f276,f284,f289,f290,f292,f295,f285,f303,f298,f323,f307,f324,f317,f319,f320,f321,f309,f310,f311,f352,f338,f61,f392,f393,f395,f427,f429,f437,f442,f404,f443,f452,f458,f460,f461,f467,f468,f448,f498,f457,f488,f524,f533,f528,f578,f417,f466,f462,f581,f584,f446,f435,f398,f587,f589,f277,f590,f591,f592,f593,f594,f596,f597,f598,f24,f601,f6,f602,f18,f603,f30,f604,f35,f32,f31,f29,f20,f19,f17,f16,f8,f7,f5,f26,f25,f23,f22,f43,f606,f611,f416,f617,f609,f605,f628,f615,f622,f391,f644,f401,f651,f652,f654,f655,f648,f660,f661,f649,f657,f650,f624,f678,f679,f681,f682,f675,f687,f688,f676,f684,f677,f4,f634,f747,f637,f750,f636,f793,f792,f798,f796,f799,f801,f639,f805,f804,f810,f808,f811,f813,f745,f827,f829,f748,f830,f832,f791,f856,f857,f851,f872,f871,f803,f896,f897,f891,f925,f924,f28,f1185,f1397,f1398,f1416,f1401,f1402,f1403,f1404,f1418,f1408,f1422,f1410,f1411,f1412,f1413,f1417,f1455,f1533,f1521,f1517,f1546]) ).

fof(f1545,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_9
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1544]) ).

fof(f1544,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_9
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f1512,f1,f2,f12,f45,f3,f64,f33,f21,f14,f13,f11,f10,f9,f15,f27,f208,f211,f214,f216,f219,f220,f221,f223,f222,f224,f225,f226,f227,f229,f230,f239,f246,f233,f251,f235,f252,f237,f254,f244,f256,f245,f257,f247,f259,f234,f243,f278,f279,f274,f276,f284,f289,f290,f292,f295,f285,f303,f298,f323,f307,f324,f317,f319,f320,f321,f309,f310,f311,f352,f338,f61,f392,f393,f395,f427,f429,f437,f442,f404,f443,f452,f458,f460,f461,f467,f468,f448,f498,f457,f488,f524,f533,f528,f578,f417,f466,f462,f581,f584,f446,f435,f398,f587,f589,f277,f590,f591,f592,f593,f594,f596,f597,f598,f24,f601,f6,f602,f18,f603,f30,f604,f35,f32,f31,f29,f20,f19,f17,f16,f8,f7,f5,f26,f25,f23,f22,f43,f606,f611,f416,f617,f609,f605,f628,f615,f622,f391,f644,f401,f651,f652,f654,f655,f648,f660,f661,f649,f657,f650,f624,f678,f679,f681,f682,f675,f687,f688,f676,f684,f677,f4,f634,f747,f637,f750,f636,f793,f792,f798,f796,f799,f801,f639,f805,f804,f810,f808,f811,f813,f745,f827,f829,f748,f830,f832,f791,f856,f857,f851,f872,f871,f803,f896,f897,f891,f925,f924,f28,f1185,f1397,f1398,f1416,f1401,f1402,f1403,f1404,f1418,f1408,f1422,f1410,f1411,f1412,f1413,f1417,f1455,f1533,f1521,f1517]) ).

fof(f1512,plain,
    ( sk_c6 != multiply(sk_c7,identity)
    | spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f725,f1185]) ).

fof(f1543,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1542]) ).

fof(f1542,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f12,f45,f3,f64,f33,f21,f14,f13,f11,f10,f9,f15,f27,f208,f211,f214,f216,f219,f220,f221,f223,f222,f224,f225,f226,f227,f229,f230,f239,f246,f233,f251,f235,f252,f237,f254,f244,f256,f245,f257,f247,f259,f234,f243,f278,f279,f274,f276,f284,f289,f290,f292,f295,f285,f303,f298,f323,f307,f324,f317,f319,f320,f321,f309,f310,f311,f352,f338,f61,f392,f393,f395,f427,f429,f437,f442,f404,f443,f452,f458,f460,f461,f467,f468,f448,f498,f457,f488,f524,f533,f528,f578,f417,f466,f462,f581,f584,f446,f435,f398,f587,f589,f277,f590,f591,f592,f593,f594,f596,f597,f598,f24,f601,f6,f602,f18,f603,f30,f604,f35,f32,f31,f29,f20,f19,f17,f16,f8,f7,f5,f26,f25,f23,f22,f43,f606,f611,f416,f617,f609,f605,f628,f615,f622,f391,f644,f401,f651,f652,f654,f655,f648,f660,f661,f649,f657,f650,f624,f678,f679,f681,f682,f675,f687,f688,f676,f684,f677,f4,f634,f747,f637,f750,f636,f793,f792,f798,f796,f799,f801,f639,f805,f804,f810,f808,f811,f813,f745,f827,f829,f748,f830,f832,f791,f856,f857,f851,f872,f871,f803,f896,f897,f891,f925,f924,f28,f1185,f1397,f1398,f1416,f1401,f1402,f1403,f1404,f1418,f1408,f1422,f1410,f1411,f1412,f1413,f1417,f1455,f1533,f1521,f1517]) ).

fof(f1541,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1540]) ).

fof(f1540,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f12,f45,f3,f64,f33,f21,f14,f13,f11,f10,f9,f15,f27,f208,f211,f214,f216,f219,f220,f221,f223,f222,f224,f225,f226,f227,f229,f230,f239,f246,f233,f251,f235,f252,f237,f254,f244,f256,f245,f257,f247,f259,f234,f243,f278,f279,f274,f276,f284,f289,f290,f292,f295,f285,f303,f298,f323,f307,f324,f317,f319,f320,f321,f309,f310,f311,f352,f338,f61,f392,f393,f395,f427,f429,f437,f442,f404,f443,f452,f458,f460,f461,f467,f468,f448,f498,f457,f488,f524,f533,f528,f578,f417,f466,f462,f581,f584,f446,f435,f398,f587,f589,f277,f590,f591,f592,f593,f594,f596,f597,f598,f24,f601,f6,f602,f18,f603,f30,f604,f35,f32,f31,f29,f20,f19,f17,f16,f8,f7,f5,f26,f25,f23,f22,f43,f606,f611,f416,f617,f609,f605,f628,f615,f622,f391,f644,f401,f651,f652,f654,f655,f648,f660,f661,f649,f657,f650,f624,f678,f679,f681,f682,f675,f687,f688,f676,f684,f677,f4,f634,f747,f637,f750,f636,f793,f792,f798,f796,f799,f801,f639,f805,f804,f810,f808,f811,f813,f745,f827,f829,f748,f830,f832,f791,f856,f857,f851,f872,f871,f803,f896,f897,f891,f925,f924,f28,f1185,f1397,f1398,f1416,f1401,f1402,f1403,f1404,f1418,f1408,f1422,f1410,f1411,f1412,f1413,f1417,f1455,f1533,f1521]) ).

fof(f1539,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1538]) ).

fof(f1538,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f1528,f1,f2,f12,f45,f3,f64,f33,f21,f14,f13,f11,f10,f9,f15,f27,f208,f211,f214,f216,f219,f220,f221,f223,f222,f224,f225,f226,f227,f229,f230,f239,f246,f233,f251,f235,f252,f237,f254,f244,f256,f245,f257,f247,f259,f234,f243,f278,f279,f274,f276,f284,f289,f290,f292,f295,f285,f303,f298,f323,f307,f324,f317,f319,f320,f321,f309,f310,f311,f352,f338,f61,f392,f393,f395,f427,f429,f437,f442,f404,f443,f452,f458,f460,f461,f467,f468,f448,f498,f457,f488,f524,f533,f528,f578,f417,f466,f462,f581,f584,f446,f435,f398,f587,f589,f277,f590,f591,f592,f593,f594,f596,f597,f598,f24,f601,f6,f602,f18,f603,f30,f604,f35,f32,f31,f29,f20,f19,f17,f16,f8,f7,f5,f26,f25,f23,f22,f43,f606,f611,f416,f617,f609,f605,f628,f615,f622,f391,f644,f401,f651,f652,f654,f655,f648,f660,f661,f649,f657,f650,f624,f678,f679,f681,f682,f675,f687,f688,f676,f684,f677,f4,f634,f747,f637,f750,f636,f793,f792,f798,f796,f799,f801,f639,f805,f804,f810,f808,f811,f813,f745,f827,f829,f748,f830,f832,f791,f856,f857,f851,f872,f871,f803,f896,f897,f891,f925,f924,f28,f1185,f1397,f1398,f1416,f1401,f1402,f1403,f1404,f1418,f1408,f1422,f1410,f1411,f1412,f1413,f1417,f1455,f1533]) ).

fof(f1537,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1536]) ).

fof(f1536,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f12,f45,f3,f64,f33,f21,f14,f13,f11,f10,f9,f15,f27,f208,f211,f214,f216,f219,f220,f221,f223,f222,f224,f225,f226,f227,f229,f230,f239,f246,f233,f251,f235,f252,f237,f254,f244,f256,f245,f257,f247,f259,f234,f243,f278,f279,f274,f276,f284,f289,f290,f292,f295,f285,f303,f298,f323,f307,f324,f317,f319,f320,f321,f309,f310,f311,f352,f338,f61,f392,f393,f395,f427,f429,f437,f442,f404,f443,f452,f458,f460,f461,f467,f468,f448,f498,f457,f488,f524,f533,f528,f578,f417,f466,f462,f581,f584,f446,f435,f398,f587,f589,f277,f590,f591,f592,f593,f594,f596,f597,f598,f24,f601,f6,f602,f18,f603,f30,f604,f35,f32,f31,f29,f20,f19,f17,f16,f8,f7,f5,f26,f25,f23,f22,f43,f606,f611,f416,f617,f609,f605,f628,f615,f622,f391,f644,f401,f651,f652,f654,f655,f648,f660,f661,f649,f657,f650,f624,f678,f679,f681,f682,f675,f687,f688,f676,f684,f677,f4,f634,f747,f637,f750,f636,f793,f792,f798,f796,f799,f801,f639,f805,f804,f810,f808,f811,f813,f745,f827,f829,f748,f830,f832,f791,f856,f857,f851,f872,f871,f803,f896,f897,f891,f925,f924,f28,f1185,f1397,f1398,f1416,f1401,f1402,f1403,f1404,f1418,f1408,f1422,f1410,f1411,f1412,f1413,f1417,f1455,f1533]) ).

fof(f1535,plain,
    ( ~ spl0_5
    | ~ spl0_6
    | spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1534]) ).

fof(f1534,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_6
    | spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f1533,f1,f2,f12,f3,f33,f21,f14,f13,f11,f10,f9,f15,f27,f208,f214,f216,f61,f392,f395,f404,f24,f6,f18,f30,f35,f32,f31,f29,f20,f19,f17,f16,f8,f7,f5,f26,f25,f23,f22,f212,f608,f614,f416,f617,f612,f607,f631,f615,f625,f391,f644,f401,f651,f652,f654,f655,f648,f660,f661,f649,f657,f650,f627,f702,f703,f705,f706,f699,f711,f712,f700,f708,f701,f4,f634,f747,f640,f753,f636,f793,f792,f798,f796,f799,f801,f642,f815,f818,f816,f823,f821,f824,f826,f745,f827,f829,f751,f833,f835,f791,f856,f857,f851,f872,f871,f28,f730,f1165,f1167,f1168,f1173,f1185,f1397,f1398,f1416,f1401,f1402,f1403,f1404,f1418,f1408,f1422,f1410,f1411,f1412,f1413,f1417,f1455,f1474,f1407,f1513,f1518,f1522]) ).

fof(f1522,plain,
    ( sk_c7 = sk_c6
    | identity = sk_c6
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1521,f708]) ).

fof(f1513,plain,
    ( sk_c7 != sk_c6
    | ~ spl0_6
    | spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1512,f708]) ).

fof(f1474,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1453,f1]) ).

fof(f1453,plain,
    ( sk_c6 = multiply(identity,sk_c7)
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(superposition,[],[f1168,f1417]) ).

fof(f1173,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c5,multiply(sk_c7,X0))
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(superposition,[],[f3,f1168]) ).

fof(f1165,plain,
    ( sk_c6 = multiply(sk_c5,sk_c7)
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(superposition,[],[f650,f730]) ).

fof(f1530,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_6
    | spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1529]) ).

fof(f1529,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_6
    | spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1528,f1,f2,f12,f3,f33,f21,f14,f13,f11,f10,f9,f15,f27,f208,f214,f216,f61,f392,f395,f404,f24,f6,f18,f30,f35,f32,f31,f29,f20,f19,f17,f16,f8,f7,f5,f26,f25,f23,f22,f212,f608,f614,f416,f617,f612,f607,f631,f615,f625,f391,f644,f401,f651,f652,f654,f655,f648,f660,f661,f649,f657,f650,f627,f702,f703,f705,f706,f699,f711,f712,f700,f708,f701,f4,f634,f747,f640,f753,f636,f793,f792,f798,f796,f799,f801,f642,f815,f818,f816,f823,f821,f824,f826,f745,f827,f829,f751,f833,f835,f791,f856,f857,f851,f872,f871,f28,f730,f1165,f1167,f1168,f1173,f1185,f1397,f1398,f1416,f1401,f1402,f1403,f1404,f1418,f1408,f1422,f1410,f1411,f1412,f1413,f1417,f1455,f1474,f1407,f1513,f1518,f1522]) ).

fof(f1524,plain,
    ( ~ spl0_5
    | ~ spl0_6
    | spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1523]) ).

fof(f1523,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_6
    | spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f33,f21,f14,f13,f11,f10,f9,f15,f27,f208,f214,f216,f61,f392,f395,f404,f24,f6,f18,f30,f35,f32,f31,f29,f20,f19,f17,f16,f8,f7,f5,f26,f25,f23,f22,f212,f608,f614,f416,f617,f612,f607,f631,f615,f625,f391,f644,f401,f651,f652,f654,f655,f648,f660,f661,f649,f657,f650,f627,f702,f703,f705,f706,f699,f711,f712,f700,f708,f701,f4,f634,f747,f640,f753,f636,f793,f792,f798,f796,f799,f801,f642,f815,f818,f816,f823,f821,f824,f826,f745,f827,f829,f751,f833,f835,f791,f856,f857,f851,f872,f871,f28,f730,f1165,f1167,f1168,f1173,f1185,f1397,f1398,f1416,f1401,f1402,f1403,f1404,f1418,f1408,f1422,f1410,f1411,f1412,f1413,f1417,f1455,f1474,f1407,f1513,f1518,f1522]) ).

fof(f1520,plain,
    ( ~ spl0_5
    | ~ spl0_6
    | spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1519]) ).

fof(f1519,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_6
    | spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f33,f21,f14,f13,f11,f10,f9,f15,f27,f208,f214,f216,f61,f392,f395,f404,f24,f6,f18,f30,f35,f32,f31,f29,f20,f19,f17,f16,f8,f7,f5,f26,f25,f23,f22,f212,f608,f614,f416,f617,f612,f607,f631,f615,f625,f391,f644,f401,f651,f652,f654,f655,f648,f660,f661,f649,f657,f650,f627,f702,f703,f705,f706,f699,f711,f712,f700,f708,f701,f4,f634,f747,f640,f753,f636,f793,f792,f798,f796,f799,f801,f642,f815,f818,f816,f823,f821,f824,f826,f745,f827,f829,f751,f833,f835,f791,f856,f857,f851,f872,f871,f28,f730,f1165,f1167,f1168,f1173,f1185,f1397,f1398,f1416,f1401,f1402,f1403,f1404,f1418,f1408,f1422,f1410,f1411,f1412,f1413,f1417,f1455,f1474,f1407,f1513,f1518]) ).

fof(f1515,plain,
    ( ~ spl0_5
    | ~ spl0_6
    | spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1514]) ).

fof(f1514,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_6
    | spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f33,f21,f14,f13,f11,f10,f9,f15,f27,f208,f214,f216,f61,f392,f395,f404,f24,f6,f18,f30,f35,f32,f31,f29,f20,f19,f17,f16,f8,f7,f5,f26,f25,f23,f22,f212,f608,f614,f416,f617,f612,f607,f631,f615,f625,f391,f644,f401,f651,f652,f654,f655,f648,f660,f661,f649,f657,f650,f627,f702,f703,f705,f706,f699,f711,f712,f700,f708,f701,f4,f634,f747,f640,f753,f636,f793,f792,f798,f796,f799,f801,f642,f815,f818,f816,f823,f821,f824,f826,f745,f827,f829,f751,f833,f835,f791,f856,f857,f851,f872,f871,f28,f730,f1165,f1167,f1168,f1173,f1185,f1397,f1398,f1416,f1401,f1402,f1403,f1404,f1418,f1408,f1422,f1410,f1411,f1412,f1413,f1417,f1455,f1474,f1407,f1513]) ).

fof(f1511,plain,
    ( ~ spl0_5
    | spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1510]) ).

fof(f1510,plain,
    ( $false
    | ~ spl0_5
    | spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1509,f1]) ).

fof(f1509,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_5
    | spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1508,f1421]) ).

fof(f1508,plain,
    ( identity != multiply(sk_c7,identity)
    | ~ spl0_5
    | spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1386,f1185]) ).

fof(f1386,plain,
    ( sk_c8 != multiply(sk_c7,sk_c8)
    | ~ spl0_5
    | spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f725,f1191]) ).

fof(f1388,plain,
    ( ~ spl0_5
    | spl0_9
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1387]) ).

fof(f1387,plain,
    ( $false
    | ~ spl0_5
    | spl0_9
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f33,f21,f14,f13,f11,f10,f9,f15,f27,f208,f214,f216,f61,f392,f395,f404,f24,f6,f18,f30,f35,f32,f31,f29,f20,f19,f17,f16,f8,f7,f5,f26,f25,f23,f22,f416,f617,f615,f391,f644,f401,f651,f652,f654,f655,f648,f660,f661,f649,f657,f650,f4,f634,f747,f636,f793,f792,f798,f796,f799,f801,f745,f827,f829,f791,f856,f857,f851,f872,f871,f28,f730,f1165,f1167,f1168,f1173,f1184,f1189,f1192,f1197,f1191,f1199,f1201,f1195,f1200,f1380,f1381,f1382,f1386]) ).

fof(f1382,plain,
    ( sk_c8 = multiply(sk_c7,sk_c8)
    | ~ spl0_5
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f33,f21,f14,f13,f11,f10,f9,f15,f27,f208,f214,f216,f61,f392,f395,f404,f24,f6,f18,f30,f35,f32,f31,f29,f20,f19,f17,f16,f8,f7,f5,f26,f25,f23,f22,f416,f617,f615,f391,f644,f401,f651,f652,f654,f655,f648,f660,f661,f649,f657,f650,f4,f634,f747,f636,f793,f792,f798,f796,f799,f801,f745,f827,f829,f791,f856,f857,f851,f872,f871,f28,f730,f1165,f1167,f1168,f1173,f1184,f1189,f1192,f1197,f1191,f1199,f1201,f1195,f1200,f1380,f1381]) ).

fof(f1381,plain,
    ( sk_c8 = multiply(sk_c7,sk_c8)
    | sk_c8 = multiply(sk_c4,sk_c7)
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f7,f1191]) ).

fof(f1380,plain,
    ( sk_c8 = multiply(sk_c7,sk_c8)
    | ~ spl0_5
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1379,f1191]) ).

fof(f1379,plain,
    ( multiply(sk_c7,sk_c8) = sk_c6
    | ~ spl0_5
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1378,f1184]) ).

fof(f1378,plain,
    ( identity = sk_c8
    | multiply(sk_c7,sk_c8) = sk_c6
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1377,f1191]) ).

fof(f1200,plain,
    ( sk_c7 = multiply(sk_c8,sk_c8)
    | ~ spl0_5
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1196,f208]) ).

fof(f1196,plain,
    ( sk_c7 = multiply(inverse(sk_c5),sk_c8)
    | ~ spl0_12 ),
    inference(superposition,[],[f61,f1189]) ).

fof(f1195,plain,
    ( sk_c7 = multiply(sk_c8,sk_c8)
    | ~ spl0_5
    | ~ spl0_12 ),
    inference(superposition,[],[f216,f1189]) ).

fof(f1201,plain,
    ( sk_c7 = multiply(sk_c8,sk_c8)
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(superposition,[],[f730,f1191]) ).

fof(f1199,plain,
    ( sk_c7 = multiply(sk_c8,sk_c8)
    | ~ spl0_5
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1198,f208]) ).

fof(f1198,plain,
    ( sk_c7 = multiply(inverse(sk_c5),sk_c8)
    | ~ spl0_5
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1193,f871]) ).

fof(f1193,plain,
    ( sk_c7 = multiply(inverse(inverse(sk_c8)),sk_c8)
    | ~ spl0_5
    | ~ spl0_12 ),
    inference(superposition,[],[f636,f1189]) ).

fof(f1197,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c5,multiply(sk_c7,X0))
    | ~ spl0_12 ),
    inference(superposition,[],[f3,f1189]) ).

fof(f1192,plain,
    ( sk_c8 = sk_c6
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(superposition,[],[f1168,f1189]) ).

fof(f1374,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1373]) ).

fof(f1373,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1372,f1184]) ).

fof(f1372,plain,
    ( identity = sk_c8
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1371,f675]) ).

fof(f1371,plain,
    ( sk_c8 = multiply(sk_c3,sk_c4)
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1370,f1184]) ).

fof(f1370,plain,
    ( identity = sk_c8
    | sk_c8 = multiply(sk_c3,sk_c4)
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1369,f1214]) ).

fof(f1369,plain,
    ( sk_c7 = sk_c8
    | sk_c8 = multiply(sk_c3,sk_c4)
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1368,f1]) ).

fof(f1368,plain,
    ( sk_c7 = multiply(identity,sk_c8)
    | sk_c8 = multiply(sk_c3,sk_c4)
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1367,f1247]) ).

fof(f1367,plain,
    ( sk_c7 = multiply(sk_c2,sk_c8)
    | sk_c8 = multiply(sk_c3,sk_c4)
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f29,f1191]) ).

fof(f1190,plain,
    ( spl0_11
    | spl0_12
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f952,f206,f41,f37,f1187,f1183]) ).

fof(f952,plain,
    ( sk_c8 = multiply(sk_c5,sk_c7)
    | identity = sk_c8
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f951,f618]) ).

fof(f1155,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1154]) ).

fof(f1154,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(subsumption_resolution,[],[f1140,f1058]) ).

fof(f1058,plain,
    ( sk_c7 != multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_9
    | spl0_10 ),
    inference(superposition,[],[f729,f1019]) ).

fof(f1019,plain,
    ( multiply(sk_c8,sk_c6) = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_9
    | spl0_10 ),
    inference(superposition,[],[f968,f973]) ).

fof(f973,plain,
    ( sk_c6 = multiply(sk_c8,sk_c7)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_9
    | spl0_10 ),
    inference(superposition,[],[f216,f964]) ).

fof(f964,plain,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_9
    | spl0_10 ),
    inference(forward_demodulation,[],[f956,f915]) ).

fof(f915,plain,
    ( sk_c7 = multiply(sk_c8,sk_c8)
    | ~ spl0_1
    | ~ spl0_5
    | spl0_10 ),
    inference(forward_demodulation,[],[f911,f208]) ).

fof(f911,plain,
    ( sk_c7 = multiply(inverse(sk_c5),sk_c8)
    | ~ spl0_1
    | ~ spl0_5
    | spl0_10 ),
    inference(superposition,[],[f61,f907]) ).

fof(f907,plain,
    ( sk_c8 = multiply(sk_c5,sk_c7)
    | ~ spl0_1
    | ~ spl0_5
    | spl0_10 ),
    inference(forward_demodulation,[],[f906,f618]) ).

fof(f956,plain,
    ( multiply(sk_c8,sk_c8) = multiply(sk_c5,sk_c6)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_9
    | spl0_10 ),
    inference(superposition,[],[f912,f726]) ).

fof(f912,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c5,multiply(sk_c7,X0))
    | ~ spl0_1
    | ~ spl0_5
    | spl0_10 ),
    inference(superposition,[],[f3,f907]) ).

fof(f968,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c8,X0))
    | ~ spl0_1
    | ~ spl0_5
    | spl0_10 ),
    inference(forward_demodulation,[],[f961,f208]) ).

fof(f961,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(inverse(sk_c5),multiply(sk_c8,X0))
    | ~ spl0_1
    | ~ spl0_5
    | spl0_10 ),
    inference(superposition,[],[f61,f912]) ).

fof(f1140,plain,
    ( sk_c7 = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(superposition,[],[f915,f1108]) ).

fof(f731,plain,
    ( spl0_9
    | spl0_10 ),
    inference(avatar_split_clause,[],[f4,f728,f724]) ).

fof(f600,plain,
    ( spl0_2
    | spl0_6 ),
    inference(avatar_contradiction_clause,[],[f599]) ).

fof(f599,plain,
    ( $false
    | spl0_2
    | spl0_6 ),
    inference(global_subsumption,[],[f24,f30,f18,f6,f1,f2,f12,f3,f35,f32,f31,f29,f28,f20,f19,f17,f16,f8,f7,f5,f4,f33,f26,f25,f23,f22,f21,f14,f13,f11,f10,f9,f15,f27,f211,f219,f220,f221,f223,f225,f226,f227,f229,f61,f392,f395,f404,f391,f598,f42]) ).

fof(f568,plain,
    ( spl0_7
    | spl0_7
    | spl0_7
    | spl0_8
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f524,f210,f206,f41,f566,f563,f563,f563]) ).

fof(f213,plain,
    ( spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f27,f210,f206]) ).

fof(f199,plain,
    ( spl0_3
    | spl0_3
    | spl0_3
    | spl0_4
    | spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f181,f41,f37,f197,f194,f194,f194]) ).

fof(f197,plain,
    ( spl0_4
  <=> ! [X5] :
        ( sk_c7 != multiply(X5,inverse(X5))
        | sk_c7 != multiply(inverse(X5),sk_c7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f44,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f12,f41,f37]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : GRP342-1 : TPTP v8.1.2. Released v2.5.0.
% 0.04/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35  % Computer : n020.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Tue Apr 30 04:31:47 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  % (16089)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37  % (16091)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.38  % (16092)WARNING: value z3 for option sas not known
% 0.22/0.38  % (16090)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.38  % (16092)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.38  % (16093)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.38  % (16094)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.22/0.38  % (16095)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.22/0.38  % (16096)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.22/0.38  TRYING [1]
% 0.22/0.38  TRYING [2]
% 0.22/0.38  TRYING [1]
% 0.22/0.38  TRYING [3]
% 0.22/0.39  TRYING [2]
% 0.22/0.39  TRYING [3]
% 0.22/0.39  TRYING [4]
% 0.22/0.41  TRYING [5]
% 0.22/0.42  TRYING [4]
% 0.22/0.47  TRYING [6]
% 1.49/0.56  % (16092)First to succeed.
% 1.49/0.59  TRYING [7]
% 1.49/0.59  % (16092)Refutation found. Thanks to Tanya!
% 1.49/0.59  % SZS status Unsatisfiable for theBenchmark
% 1.49/0.59  % SZS output start Proof for theBenchmark
% See solution above
% 1.49/0.61  % (16092)------------------------------
% 1.49/0.61  % (16092)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.49/0.61  % (16092)Termination reason: Refutation
% 1.49/0.61  
% 1.49/0.61  % (16092)Memory used [KB]: 2456
% 1.49/0.61  % (16092)Time elapsed: 0.216 s
% 1.49/0.61  % (16092)Instructions burned: 350 (million)
% 1.49/0.61  % (16092)------------------------------
% 1.49/0.61  % (16092)------------------------------
% 1.49/0.61  % (16089)Success in time 0.234 s
%------------------------------------------------------------------------------