%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GRP295-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n003.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 05:59:47 EDT 2024

% Result   : Unsatisfiable 0.21s 0.52s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
fof(f2822,plain,
    $false,
    inference(avatar_sat_refutation,[],[f43,f171,f185,f464,f478,f536,f616,f687,f689,f691,f693,f697,f700,f702,f704,f706,f708,f710,f712,f714,f716,f719,f722,f724,f727,f729,f731,f733,f736,f739,f742,f744,f747,f749,f751,f754,f756,f758,f760,f762,f764,f766,f768,f770,f772,f774,f776,f778,f780,f782,f784,f786,f788,f790,f792,f794,f796,f798,f800,f803,f805,f808,f810,f812,f814,f816,f819,f821,f823,f826,f828,f830,f832,f834,f836,f838,f840,f842,f844,f846,f848,f850,f852,f854,f856,f858,f860,f862,f864,f866,f868,f870,f872,f874,f876,f878,f880,f882,f884,f886,f888,f890,f892,f894,f896,f1023,f1033,f1036,f1041,f1158,f1282,f1331,f1382,f1477,f1483,f1529,f1534,f1609,f1617,f1619,f1621,f1623,f1626,f1629,f1632,f1636,f1637,f1638,f1639,f1658,f1678,f1681,f1687,f1691,f1696,f1710,f1714,f1727,f1729,f1732,f1735,f1737,f1739,f1742,f1745,f1748,f1750,f1752,f1754,f1756,f1758,f1760,f1762,f1764,f1766,f1768,f1770,f1772,f1774,f1776,f1778,f1780,f1782,f1784,f1813,f1846,f1849,f1854,f1866,f1875,f1884,f1898,f1900,f1903,f1905,f1908,f1911,f1913,f1916,f1922,f1925,f1927,f1930,f1933,f1935,f1937,f1939,f1941,f1943,f1945,f1947,f1949,f1951,f1953,f1955,f1957,f1959,f1962,f1964,f1966,f1968,f1971,f1974,f1976,f1979,f1982,f1985,f1987,f1989,f1992,f1994,f1996,f1998,f2000,f2003,f2005,f2007,f2009,f2011,f2013,f2015,f2017,f2019,f2022,f2024,f2026,f2028,f2030,f2032,f2034,f2036,f2038,f2040,f2057,f2059,f2061,f2064,f2066,f2068,f2070,f2072,f2074,f2076,f2078,f2080,f2082,f2084,f2086,f2088,f2090,f2092,f2094,f2096,f2098,f2100,f2103,f2105,f2107,f2109,f2111,f2113,f2116,f2119,f2121,f2124,f2127,f2129,f2132,f2134,f2136,f2138,f2327,f2514,f2578,f2581,f2583,f2585,f2587,f2589,f2591,f2594,f2597,f2599,f2601,f2604,f2606,f2608,f2610,f2612,f2614,f2616,f2618,f2620,f2622,f2624,f2626,f2628,f2630,f2632,f2634,f2636,f2638,f2640,f2642,f2644,f2646,f2648,f2650,f2652,f2654,f2656,f2659,f2661,f2663,f2665,f2667,f2669,f2671,f2673,f2675,f2677,f2679,f2681,f2683,f2685,f2687,f2689,f2693,f2695,f2697,f2699,f2701,f2703,f2705,f2707,f2709,f2711,f2713,f2715,f2717,f2719,f2721,f2723,f2726,f2728,f2730,f2732,f2734,f2736,f2738,f2741,f2743,f2745,f2747,f2749,f2751,f2753,f2756,f2758,f2760,f2762,f2764,f2766,f2768,f2770,f2772,f2774,f2776,f2778,f2780,f2782,f2784,f2786,f2789,f2791,f2793,f2795,f2797,f2799,f2801,f2803,f2805,f2807,f2809,f2811,f2813,f2815,f2817,f2819,f2821]) ).

fof(f2821,plain,
    ( ~ spl0_2
    | ~ spl0_14
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2820]) ).

fof(f2820,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_14
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f42,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f12,f28,f24,f26,f1847,f31,f1850,f1860,f1931,f1928,f1878,f1923,f1920,f1914,f1909,f1906,f1901,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f1652,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1656,f1816,f1329,f2255,f1281]) ).

fof(f1281,plain,
    ( identity = sk_c6
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f1279]) ).

fof(f1279,plain,
    ( spl0_14
  <=> identity = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f2255,plain,
    ( identity = sk_c7
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f2254,f442]) ).

fof(f2254,plain,
    ( sk_c7 = inverse(identity)
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1652,f1281]) ).

fof(f1329,plain,
    ( identity != sk_c5
    | spl0_16 ),
    inference(avatar_component_clause,[],[f1328]) ).

fof(f1328,plain,
    ( spl0_16
  <=> identity = sk_c5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f1816,plain,
    ( identity != sk_c7
    | spl0_16
    | ~ spl0_18 ),
    inference(superposition,[],[f1329,f1656]) ).

fof(f1656,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f1655]) ).

fof(f1655,plain,
    ( spl0_18
  <=> sk_c7 = sk_c5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

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

fof(f9,axiom,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | sk_c6 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).

fof(f13,axiom,
    ( sk_c6 = multiply(sk_c1,sk_c7)
    | sk_c6 = multiply(sk_c4,sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).

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

fof(f18,axiom,
    ( sk_c7 = inverse(sk_c1)
    | sk_c6 = multiply(sk_c4,sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).

fof(f14,axiom,
    ( sk_c7 = inverse(sk_c1)
    | sk_c5 = multiply(sk_c6,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).

fof(f21,axiom,
    ( sk_c6 = multiply(sk_c7,sk_c5)
    | sk_c7 = multiply(sk_c3,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).

fof(f11,axiom,
    ( sk_c6 = multiply(sk_c1,sk_c7)
    | sk_c7 = multiply(sk_c3,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).

fof(f16,axiom,
    ( sk_c7 = inverse(sk_c1)
    | sk_c7 = multiply(sk_c3,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).

fof(f1652,plain,
    ( sk_c7 = inverse(sk_c6)
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f1651]) ).

fof(f1651,plain,
    ( spl0_17
  <=> sk_c7 = inverse(sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f2507,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f2,f2444]) ).

fof(f2506,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f60,f2444]) ).

fof(f2444,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(superposition,[],[f2427,f305]) ).

fof(f2493,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(forward_demodulation,[],[f2466,f2427]) ).

fof(f2466,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,identity),
    inference(superposition,[],[f315,f2427]) ).

fof(f2453,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(superposition,[],[f305,f2427]) ).

fof(f2480,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(forward_demodulation,[],[f2451,f2427]) ).

fof(f2451,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,identity),
    inference(superposition,[],[f2427,f315]) ).

fof(f2427,plain,
    ! [X0] : multiply(X0,identity) = X0,
    inference(superposition,[],[f315,f305]) ).

fof(f2437,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f60,f315]) ).

fof(f2436,plain,
    ! [X0] : multiply(X0,identity) = X0,
    inference(superposition,[],[f305,f315]) ).

fof(f2434,plain,
    ! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
    inference(superposition,[],[f60,f315]) ).

fof(f2433,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f2,f315]) ).

fof(f2428,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f315,f60]) ).

fof(f2426,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f315,f2]) ).

fof(f315,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
    inference(superposition,[],[f60,f60]) ).

fof(f1901,plain,
    ( sk_c6 = multiply(sk_c4,sk_c7)
    | sk_c6 = multiply(sk_c1,sk_c7)
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f13,f1656]) ).

fof(f1906,plain,
    ( sk_c7 = multiply(sk_c6,sk_c7)
    | sk_c6 = multiply(sk_c1,sk_c7)
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f9,f1656]) ).

fof(f1909,plain,
    ( sk_c6 = multiply(sk_c4,sk_c7)
    | sk_c7 = inverse(sk_c1)
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f18,f1656]) ).

fof(f1914,plain,
    ( sk_c7 = multiply(sk_c6,sk_c7)
    | sk_c7 = inverse(sk_c1)
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f14,f1656]) ).

fof(f1920,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | sk_c7 = multiply(sk_c6,sk_c7)
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f1919,f1656]) ).

fof(f1919,plain,
    ( sk_c7 = multiply(sk_c6,sk_c7)
    | sk_c6 = multiply(sk_c7,sk_c5)
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f19,f1656]) ).

fof(f1923,plain,
    ( sk_c7 = multiply(sk_c6,sk_c7)
    | sk_c7 = multiply(sk_c2,sk_c7)
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f1885,f1656]) ).

fof(f1885,plain,
    ( sk_c7 = multiply(sk_c2,sk_c7)
    | sk_c5 = multiply(sk_c6,sk_c7)
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f24,f1656]) ).

fof(f1878,plain,
    ( sk_c6 = multiply(sk_c4,sk_c7)
    | sk_c7 = inverse(sk_c2)
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f33,f1656]) ).

fof(f1928,plain,
    ( sk_c7 = multiply(sk_c6,sk_c7)
    | sk_c7 = inverse(sk_c2)
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f29,f1656]) ).

fof(f1931,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | sk_c6 = multiply(sk_c4,sk_c7)
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f1867,f1656]) ).

fof(f1867,plain,
    ( sk_c6 = multiply(sk_c4,sk_c7)
    | sk_c6 = multiply(sk_c7,sk_c5)
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f23,f1656]) ).

fof(f1860,plain,
    ( sk_c6 = multiply(sk_c4,sk_c7)
    | sk_c7 = multiply(sk_c2,sk_c7)
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f1859,f1656]) ).

fof(f1859,plain,
    ( sk_c7 = multiply(sk_c2,sk_c7)
    | sk_c6 = multiply(sk_c4,sk_c5)
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f28,f1656]) ).

fof(f1850,plain,
    ( sk_c7 = multiply(sk_c2,sk_c7)
    | sk_c7 = multiply(sk_c3,sk_c6)
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f26,f1656]) ).

fof(f31,axiom,
    ( sk_c7 = inverse(sk_c2)
    | sk_c7 = multiply(sk_c3,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).

fof(f1847,plain,
    ( sk_c7 = multiply(sk_c3,identity)
    | sk_c7 = inverse(sk_c2)
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f31,f1281]) ).

fof(f26,axiom,
    ( sk_c5 = multiply(sk_c2,sk_c7)
    | sk_c7 = multiply(sk_c3,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).

fof(f24,axiom,
    ( sk_c5 = multiply(sk_c2,sk_c7)
    | sk_c5 = multiply(sk_c6,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).

fof(f28,axiom,
    ( sk_c5 = multiply(sk_c2,sk_c7)
    | sk_c6 = multiply(sk_c4,sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).

fof(f12,axiom,
    ( sk_c6 = inverse(sk_c4)
    | sk_c6 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).

fof(f27,axiom,
    ( sk_c6 = inverse(sk_c4)
    | sk_c5 = multiply(sk_c2,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).

fof(f25,axiom,
    ( sk_c7 = inverse(sk_c3)
    | sk_c5 = multiply(sk_c2,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).

fof(f10,axiom,
    ( sk_c7 = inverse(sk_c3)
    | sk_c6 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).

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

fof(f7,axiom,
    ( sk_c6 = inverse(sk_c4)
    | multiply(sk_c7,sk_c6) = sk_c5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).

fof(f5,axiom,
    ( sk_c7 = inverse(sk_c3)
    | multiply(sk_c7,sk_c6) = sk_c5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).

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

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

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

fof(f22,axiom,
    ( sk_c6 = inverse(sk_c4)
    | sk_c6 = multiply(sk_c7,sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).

fof(f20,axiom,
    ( sk_c7 = inverse(sk_c3)
    | sk_c6 = multiply(sk_c7,sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).

fof(f17,axiom,
    ( sk_c6 = inverse(sk_c4)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).

fof(f442,plain,
    identity = inverse(identity),
    inference(superposition,[],[f428,f305]) ).

fof(f445,plain,
    identity = inverse(identity),
    inference(superposition,[],[f305,f428]) ).

fof(f453,plain,
    ! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f444,f1]) ).

fof(f444,plain,
    ! [X0,X1] : multiply(identity,X1) = multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)),
    inference(superposition,[],[f3,f428]) ).

fof(f443,plain,
    ! [X0] : multiply(inverse(inverse(inverse(inverse(X0)))),identity) = X0,
    inference(superposition,[],[f60,f428]) ).

fof(f428,plain,
    ! [X0] : identity = multiply(inverse(inverse(inverse(X0))),X0),
    inference(superposition,[],[f60,f305]) ).

fof(f437,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
    inference(forward_demodulation,[],[f429,f1]) ).

fof(f429,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),multiply(identity,X1)),
    inference(superposition,[],[f3,f305]) ).

fof(f305,plain,
    ! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[],[f60,f2]) ).

fof(f308,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
    inference(superposition,[],[f60,f3]) ).

fof(f60,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f52,f1]) ).

fof(f52,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[],[f3,f2]) ).

fof(f32,axiom,
    ( sk_c6 = inverse(sk_c4)
    | sk_c7 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).

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

fof(f29,axiom,
    ( sk_c7 = inverse(sk_c2)
    | sk_c5 = multiply(sk_c6,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).

fof(f33,axiom,
    ( sk_c7 = inverse(sk_c2)
    | sk_c6 = multiply(sk_c4,sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).

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

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(f42,plain,
    ( sk_c7 = inverse(sk_c1)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f40]) ).

fof(f40,plain,
    ( spl0_2
  <=> sk_c7 = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f2819,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_8
    | ~ spl0_14
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2818]) ).

fof(f2818,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_8
    | ~ spl0_14
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1725,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f12,f28,f24,f26,f1847,f31,f1850,f1860,f1931,f1928,f1878,f1923,f1920,f1914,f1909,f1906,f1901,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f1652,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1656,f1816,f1329,f2255,f1281]) ).

fof(f1725,plain,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_8 ),
    inference(global_subsumption,[],[f1472,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f622,f629,f18,f632,f16,f14,f734,f801,f23,f20,f22,f4,f6,f8,f5,f7,f34,f9,f11,f13,f10,f25,f27,f12,f28,f24,f633,f630,f621,f1546,f19,f1633,f523,f620,f631,f634,f26,f1716,f31,f1718,f21,f1719]) ).

fof(f1719,plain,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f622,f629,f18,f632,f16,f14,f734,f801,f23,f20,f22,f4,f6,f8,f5,f7,f34,f9,f11,f13,f10,f25,f27,f12,f28,f24,f633,f630,f621,f1546,f19,f1633,f523,f620,f631,f634,f26,f1716,f31,f1718,f21]) ).

fof(f1718,plain,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f622,f629,f18,f632,f16,f14,f734,f801,f23,f21,f20,f22,f4,f6,f8,f5,f7,f34,f9,f11,f13,f10,f25,f27,f12,f28,f24,f633,f630,f621,f1546,f19,f1633,f523,f620,f631,f634,f26,f1716,f31]) ).

fof(f1716,plain,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f31,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f622,f629,f18,f632,f16,f14,f734,f801,f23,f21,f20,f22,f4,f6,f8,f5,f7,f34,f9,f11,f13,f10,f25,f27,f12,f28,f24,f633,f630,f621,f1546,f19,f1633,f523,f620,f631,f634,f26]) ).

fof(f634,plain,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f31,f29,f25,f20,f10,f5,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f27,f22,f12,f7,f523,f9,f620,f11,f621,f13,f622,f629,f630,f631,f18,f632,f16,f633,f14]) ).

fof(f631,plain,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | spl0_8 ),
    inference(subsumption_resolution,[],[f19,f523]) ).

fof(f620,plain,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f31,f29,f25,f20,f10,f5,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f14,f16,f18,f19,f21,f23,f24,f26,f28,f34,f13,f11,f8,f6,f4,f27,f22,f12,f7,f523,f9]) ).

fof(f523,plain,
    ( sk_c6 != multiply(sk_c7,sk_c5)
    | spl0_8 ),
    inference(avatar_component_clause,[],[f521]) ).

fof(f521,plain,
    ( spl0_8
  <=> sk_c6 = multiply(sk_c7,sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f1633,plain,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f31,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f622,f629,f18,f632,f16,f14,f734,f801,f23,f21,f20,f22,f4,f6,f8,f5,f7,f34,f9,f11,f13,f10,f25,f27,f12,f28,f26,f24,f633,f630,f621,f1546,f523,f620,f631,f634,f19]) ).

fof(f1546,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c6,X0))
    | spl0_8 ),
    inference(superposition,[],[f3,f621]) ).

fof(f621,plain,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f31,f29,f25,f20,f10,f5,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f14,f16,f18,f19,f21,f23,f24,f26,f28,f34,f13,f8,f6,f4,f27,f22,f12,f7,f523,f9,f620,f11]) ).

fof(f630,plain,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | spl0_8 ),
    inference(subsumption_resolution,[],[f21,f523]) ).

fof(f633,plain,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f31,f29,f25,f20,f10,f5,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f14,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f27,f22,f12,f7,f523,f9,f620,f11,f621,f13,f622,f629,f630,f631,f18,f632,f16]) ).

fof(f801,plain,
    ( sk_c6 = inverse(sk_c4)
    | spl0_8 ),
    inference(subsumption_resolution,[],[f22,f523]) ).

fof(f734,plain,
    ( sk_c7 = inverse(sk_c3)
    | spl0_8 ),
    inference(subsumption_resolution,[],[f20,f523]) ).

fof(f632,plain,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f31,f29,f25,f20,f10,f5,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f14,f16,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f27,f22,f12,f7,f523,f9,f620,f11,f621,f13,f622,f629,f630,f631,f18]) ).

fof(f629,plain,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | spl0_8 ),
    inference(subsumption_resolution,[],[f23,f523]) ).

fof(f622,plain,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f31,f29,f25,f20,f10,f5,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f14,f16,f18,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f27,f22,f12,f7,f523,f9,f620,f11,f621,f13]) ).

fof(f1472,plain,
    ( identity = sk_c6
    | sk_c7 = multiply(sk_c3,sk_c6)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1222,f1229]) ).

fof(f1229,plain,
    ( identity = multiply(sk_c3,sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f1201,f2]) ).

fof(f1201,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(sk_c7),X0)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1200,f1]) ).

fof(f1200,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(sk_c7),multiply(identity,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f1180]) ).

fof(f1180,plain,
    ( sk_c3 = multiply(inverse(sk_c7),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f60,f1170]) ).

fof(f1170,plain,
    ( identity = multiply(sk_c7,sk_c3)
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f38]) ).

fof(f38,plain,
    ( sk_c7 = inverse(sk_c3)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f36]) ).

fof(f36,plain,
    ( spl0_1
  <=> sk_c7 = inverse(sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f1222,plain,
    ( sk_c6 = multiply(sk_c3,sk_c7)
    | sk_c7 = multiply(sk_c3,sk_c6)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f11,f639]) ).

fof(f639,plain,
    ( sk_c3 = sk_c1
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f636,f322]) ).

fof(f322,plain,
    ( sk_c3 = multiply(inverse(sk_c7),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f60,f172]) ).

fof(f172,plain,
    ( identity = multiply(sk_c7,sk_c3)
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f38]) ).

fof(f636,plain,
    ( sk_c1 = multiply(inverse(sk_c7),identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f305,f42]) ).

fof(f2817,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_14
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2816]) ).

fof(f2816,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_14
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f639,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f12,f28,f24,f26,f1847,f31,f1850,f1860,f1931,f1928,f1878,f1923,f1920,f1914,f1909,f1906,f1901,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f1652,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1656,f1816,f1329,f2255,f1281]) ).

fof(f2815,plain,
    ( ~ spl0_2
    | ~ spl0_14
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2814]) ).

fof(f2814,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_14
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f2497,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f12,f28,f24,f26,f1847,f31,f1850,f1860,f1931,f1928,f1878,f1923,f1920,f1914,f1909,f1906,f1901,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f1652,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1656,f1816,f1329,f2255,f1281]) ).

fof(f2497,plain,
    ( sk_c1 = inverse(sk_c7)
    | ~ spl0_2 ),
    inference(superposition,[],[f2444,f42]) ).

fof(f2813,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_14
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2812]) ).

fof(f2812,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_14
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f2167,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f12,f28,f24,f26,f1847,f31,f1850,f1860,f1931,f1928,f1878,f1923,f1920,f1914,f1909,f1906,f1901,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f1652,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1656,f1816,f1329,f2255,f1281]) ).

fof(f2167,plain,
    ( sk_c3 = sk_c1
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2164,f1180]) ).

fof(f2164,plain,
    ( sk_c1 = multiply(inverse(sk_c7),identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f305,f42]) ).

fof(f2811,plain,
    ( spl0_8
    | ~ spl0_14
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2810]) ).

fof(f2810,plain,
    ( $false
    | spl0_8
    | ~ spl0_14
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f523,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f12,f28,f24,f26,f1847,f31,f1850,f1860,f1931,f1928,f1878,f1923,f1920,f1914,f1909,f1906,f1901,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f1652,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1656,f1816,f1329,f2255,f1281]) ).

fof(f2809,plain,
    ( spl0_8
    | ~ spl0_14
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2808]) ).

fof(f2808,plain,
    ( $false
    | spl0_8
    | ~ spl0_14
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f620,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f12,f28,f24,f26,f1847,f31,f1850,f1860,f1931,f1928,f1878,f1923,f1920,f1914,f1909,f1906,f1901,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f1652,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1656,f1816,f1329,f2255,f1281]) ).

fof(f2807,plain,
    ( spl0_8
    | ~ spl0_14
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2806]) ).

fof(f2806,plain,
    ( $false
    | spl0_8
    | ~ spl0_14
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f621,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f12,f28,f24,f26,f1847,f31,f1850,f1860,f1931,f1928,f1878,f1923,f1920,f1914,f1909,f1906,f1901,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f1652,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1656,f1816,f1329,f2255,f1281]) ).

fof(f2805,plain,
    ( spl0_8
    | ~ spl0_14
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2804]) ).

fof(f2804,plain,
    ( $false
    | spl0_8
    | ~ spl0_14
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f622,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f12,f28,f24,f26,f1847,f31,f1850,f1860,f1931,f1928,f1878,f1923,f1920,f1914,f1909,f1906,f1901,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f1652,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1656,f1816,f1329,f2255,f1281]) ).

fof(f2803,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | spl0_8
    | ~ spl0_14
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2802]) ).

fof(f2802,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | spl0_8
    | ~ spl0_14
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f624,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f12,f28,f24,f26,f1847,f31,f1850,f1860,f1931,f1928,f1878,f1923,f1920,f1914,f1909,f1906,f1901,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f1652,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1656,f1816,f1329,f2255,f1281]) ).

fof(f624,plain,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | ~ spl0_1
    | ~ spl0_4
    | spl0_8 ),
    inference(global_subsumption,[],[f623,f1,f2,f15,f3,f33,f31,f29,f25,f20,f10,f5,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f14,f16,f18,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f27,f22,f12,f7,f523,f9,f620,f11,f621,f13,f622]) ).

fof(f623,plain,
    ( sk_c5 = multiply(sk_c3,sk_c7)
    | sk_c6 = multiply(sk_c4,sk_c5)
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f28,f544]) ).

fof(f544,plain,
    ( sk_c3 = sk_c2
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f324,f322]) ).

fof(f324,plain,
    ( sk_c2 = multiply(inverse(sk_c7),identity)
    | ~ spl0_4 ),
    inference(superposition,[],[f60,f186]) ).

fof(f186,plain,
    ( identity = multiply(sk_c7,sk_c2)
    | ~ spl0_4 ),
    inference(superposition,[],[f2,f180]) ).

fof(f180,plain,
    ( sk_c7 = inverse(sk_c2)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f178]) ).

fof(f178,plain,
    ( spl0_4
  <=> sk_c7 = inverse(sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f2801,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | spl0_8
    | ~ spl0_14
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2800]) ).

fof(f2800,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | spl0_8
    | ~ spl0_14
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f628,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f12,f28,f24,f26,f1847,f31,f1850,f1860,f1931,f1928,f1878,f1923,f1920,f1914,f1909,f1906,f1901,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f1652,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1656,f1816,f1329,f2255,f1281]) ).

fof(f628,plain,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | ~ spl0_1
    | ~ spl0_4
    | spl0_8 ),
    inference(global_subsumption,[],[f627,f1,f2,f15,f3,f33,f31,f29,f25,f20,f10,f5,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f14,f16,f18,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f27,f22,f12,f7,f523,f9,f620,f11,f621,f13,f622]) ).

fof(f627,plain,
    ( sk_c5 = multiply(sk_c3,sk_c7)
    | sk_c5 = multiply(sk_c6,sk_c7)
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f24,f544]) ).

fof(f2799,plain,
    ( spl0_8
    | ~ spl0_14
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2798]) ).

fof(f2798,plain,
    ( $false
    | spl0_8
    | ~ spl0_14
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f629,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f12,f28,f24,f26,f1847,f31,f1850,f1860,f1931,f1928,f1878,f1923,f1920,f1914,f1909,f1906,f1901,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f1652,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1656,f1816,f1329,f2255,f1281]) ).

fof(f2797,plain,
    ( spl0_8
    | ~ spl0_14
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2796]) ).

fof(f2796,plain,
    ( $false
    | spl0_8
    | ~ spl0_14
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1633,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f12,f28,f24,f26,f1847,f31,f1850,f1860,f1931,f1928,f1878,f1923,f1920,f1914,f1909,f1906,f1901,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f1652,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1656,f1816,f1329,f2255,f1281]) ).

fof(f2795,plain,
    ( spl0_8
    | ~ spl0_14
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2794]) ).

fof(f2794,plain,
    ( $false
    | spl0_8
    | ~ spl0_14
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f631,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f12,f28,f24,f26,f1847,f31,f1850,f1860,f1931,f1928,f1878,f1923,f1920,f1914,f1909,f1906,f1901,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f1652,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1656,f1816,f1329,f2255,f1281]) ).

fof(f2793,plain,
    ( spl0_8
    | ~ spl0_14
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2792]) ).

fof(f2792,plain,
    ( $false
    | spl0_8
    | ~ spl0_14
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f632,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f12,f28,f24,f26,f1847,f31,f1850,f1860,f1931,f1928,f1878,f1923,f1920,f1914,f1909,f1906,f1901,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f1652,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1656,f1816,f1329,f2255,f1281]) ).

fof(f2791,plain,
    ( spl0_8
    | ~ spl0_14
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2790]) ).

fof(f2790,plain,
    ( $false
    | spl0_8
    | ~ spl0_14
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f634,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f12,f28,f24,f26,f1847,f31,f1850,f1860,f1931,f1928,f1878,f1923,f1920,f1914,f1909,f1906,f1901,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f1652,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1656,f1816,f1329,f2255,f1281]) ).

fof(f2789,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | spl0_8
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2788]) ).

fof(f2788,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | spl0_8
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f2787,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f12,f28,f24,f26,f1847,f31,f1850,f1860,f1931,f1928,f1878,f1923,f1920,f1914,f1909,f1906,f1901,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f1652,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1656,f1816,f1329,f2255,f1281]) ).

fof(f2787,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_5
    | spl0_8
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1660,f1229]) ).

fof(f1660,plain,
    ( sk_c7 = multiply(sk_c3,sk_c7)
    | ~ spl0_5
    | spl0_8
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(superposition,[],[f621,f1644]) ).

fof(f1644,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(superposition,[],[f1641,f1277]) ).

fof(f1277,plain,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f1275]) ).

fof(f1275,plain,
    ( spl0_13
  <=> sk_c6 = multiply(sk_c4,sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f1641,plain,
    ( sk_c7 = multiply(sk_c4,sk_c5)
    | ~ spl0_5
    | ~ spl0_15 ),
    inference(superposition,[],[f1295,f1326]) ).

fof(f1326,plain,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f1324]) ).

fof(f1324,plain,
    ( spl0_15
  <=> sk_c5 = multiply(sk_c6,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f1295,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c6,X0)) = X0
    | ~ spl0_5 ),
    inference(superposition,[],[f1204,f60]) ).

fof(f1204,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c6),X0)
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f1203,f1]) ).

fof(f1203,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c6),multiply(identity,X0))
    | ~ spl0_5 ),
    inference(superposition,[],[f3,f1183]) ).

fof(f1183,plain,
    ( sk_c4 = multiply(inverse(sk_c6),identity)
    | ~ spl0_5 ),
    inference(superposition,[],[f60,f1174]) ).

fof(f1174,plain,
    ( identity = multiply(sk_c6,sk_c4)
    | ~ spl0_5 ),
    inference(superposition,[],[f2,f184]) ).

fof(f184,plain,
    ( sk_c6 = inverse(sk_c4)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f182]) ).

fof(f182,plain,
    ( spl0_5
  <=> sk_c6 = inverse(sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f2786,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_7
    | spl0_8
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2785]) ).

fof(f2785,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_7
    | spl0_8
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1676,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f12,f28,f24,f26,f1847,f31,f1850,f1860,f1931,f1928,f1878,f1923,f1920,f1914,f1909,f1906,f1901,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f1652,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1656,f1816,f1329,f2255,f1281]) ).

fof(f1676,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_7
    | spl0_8
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1675,f1644]) ).

fof(f1675,plain,
    ( sk_c6 = sk_c5
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_7
    | spl0_8
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1659,f1547]) ).

fof(f1547,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | spl0_8 ),
    inference(forward_demodulation,[],[f1545,f38]) ).

fof(f1545,plain,
    ( sk_c6 = multiply(inverse(sk_c3),sk_c7)
    | spl0_8 ),
    inference(superposition,[],[f60,f621]) ).

fof(f1659,plain,
    ( sk_c5 = multiply(sk_c7,sk_c7)
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(superposition,[],[f518,f1644]) ).

fof(f518,plain,
    ( multiply(sk_c7,sk_c6) = sk_c5
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f517]) ).

fof(f517,plain,
    ( spl0_7
  <=> multiply(sk_c7,sk_c6) = sk_c5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f2784,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | spl0_8
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2783]) ).

fof(f2783,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | spl0_8
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1679,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f12,f28,f24,f26,f1847,f31,f1850,f1860,f1931,f1928,f1878,f1923,f1920,f1914,f1909,f1906,f1901,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f1652,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1656,f1816,f1329,f2255,f1281]) ).

fof(f1679,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_5
    | spl0_8
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1660,f1229]) ).

fof(f2782,plain,
    ( ~ spl0_1
    | spl0_8
    | ~ spl0_14
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2781]) ).

fof(f2781,plain,
    ( $false
    | ~ spl0_1
    | spl0_8
    | ~ spl0_14
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1547,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f12,f28,f24,f26,f1847,f31,f1850,f1860,f1931,f1928,f1878,f1923,f1920,f1914,f1909,f1906,f1901,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f1652,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1656,f1816,f1329,f2255,f1281]) ).

fof(f2780,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | spl0_8
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2779]) ).

fof(f2779,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | spl0_8
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1689,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f12,f28,f24,f26,f1847,f31,f1850,f1860,f1931,f1928,f1878,f1923,f1920,f1914,f1909,f1906,f1901,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f1652,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1656,f1816,f1329,f2255,f1281]) ).

fof(f1689,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_1
    | ~ spl0_5
    | spl0_8
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1688,f1644]) ).

fof(f1688,plain,
    ( sk_c6 = sk_c5
    | ~ spl0_1
    | ~ spl0_5
    | spl0_8
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1674,f1547]) ).

fof(f1674,plain,
    ( sk_c5 = multiply(sk_c7,sk_c7)
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(superposition,[],[f1326,f1644]) ).

fof(f2778,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | spl0_8
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2777]) ).

fof(f2777,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | spl0_8
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1685,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f12,f28,f24,f26,f1847,f31,f1850,f1860,f1931,f1928,f1878,f1923,f1920,f1914,f1909,f1906,f1901,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f1652,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1656,f1816,f1329,f2255,f1281]) ).

fof(f1685,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_1
    | ~ spl0_5
    | spl0_8
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1684,f1644]) ).

fof(f1684,plain,
    ( sk_c6 = sk_c5
    | ~ spl0_1
    | ~ spl0_5
    | spl0_8
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1668,f1547]) ).

fof(f1668,plain,
    ( sk_c5 = multiply(sk_c7,sk_c7)
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(superposition,[],[f1286,f1644]) ).

fof(f1286,plain,
    ( sk_c5 = multiply(sk_c6,sk_c6)
    | ~ spl0_5
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1284,f184]) ).

fof(f1284,plain,
    ( sk_c5 = multiply(inverse(sk_c4),sk_c6)
    | ~ spl0_13 ),
    inference(superposition,[],[f60,f1277]) ).

fof(f2776,plain,
    ( spl0_8
    | ~ spl0_14
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2775]) ).

fof(f2775,plain,
    ( $false
    | spl0_8
    | ~ spl0_14
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1716,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f12,f28,f24,f26,f1847,f31,f1850,f1860,f1931,f1928,f1878,f1923,f1920,f1914,f1909,f1906,f1901,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f1652,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1656,f1816,f1329,f2255,f1281]) ).

fof(f2774,plain,
    ( spl0_8
    | ~ spl0_14
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2773]) ).

fof(f2773,plain,
    ( $false
    | spl0_8
    | ~ spl0_14
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1718,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f12,f28,f24,f26,f1847,f31,f1850,f1860,f1931,f1928,f1878,f1923,f1920,f1914,f1909,f1906,f1901,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f1652,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1656,f1816,f1329,f2255,f1281]) ).

fof(f2772,plain,
    ( spl0_8
    | ~ spl0_14
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2771]) ).

fof(f2771,plain,
    ( $false
    | spl0_8
    | ~ spl0_14
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1719,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f12,f28,f24,f26,f1847,f31,f1850,f1860,f1931,f1928,f1878,f1923,f1920,f1914,f1909,f1906,f1901,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f1652,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1656,f1816,f1329,f2255,f1281]) ).

fof(f2770,plain,
    ( ~ spl0_7
    | spl0_8
    | ~ spl0_14
    | ~ spl0_15
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2769]) ).

fof(f2769,plain,
    ( $false
    | ~ spl0_7
    | spl0_8
    | ~ spl0_14
    | ~ spl0_15
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1720,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f12,f28,f24,f26,f1847,f31,f1850,f1860,f1931,f1928,f1878,f1923,f1920,f1914,f1909,f1906,f1901,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f1652,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1656,f1816,f1329,f2255,f1281]) ).

fof(f1720,plain,
    ( sk_c6 != multiply(sk_c7,sk_c5)
    | ~ spl0_7
    | spl0_8
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f1697,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f622,f629,f18,f632,f16,f14,f734,f801,f23,f20,f22,f4,f6,f8,f5,f7,f34,f9,f11,f13,f10,f25,f27,f12,f28,f24,f633,f630,f621,f1546,f19,f1633,f523,f620,f631,f634,f26,f1716,f31,f1718,f21,f1719]) ).

fof(f1697,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c6 != inverse(X6)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c5 != multiply(X4,sk_c7)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_7
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f1492,f1326]) ).

fof(f1492,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c6 != inverse(X6)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c5 != multiply(sk_c6,sk_c7)
        | sk_c5 != multiply(X4,sk_c7)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f34,f518]) ).

fof(f2768,plain,
    ( ~ spl0_5
    | spl0_8
    | ~ spl0_14
    | ~ spl0_15
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2767]) ).

fof(f2767,plain,
    ( $false
    | ~ spl0_5
    | spl0_8
    | ~ spl0_14
    | ~ spl0_15
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1722,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f12,f28,f24,f26,f1847,f31,f1850,f1860,f1931,f1928,f1878,f1923,f1920,f1914,f1909,f1906,f1901,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f1652,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1656,f1816,f1329,f2255,f1281]) ).

fof(f1722,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_5
    | spl0_8
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f622,f629,f18,f632,f16,f14,f734,f801,f23,f20,f22,f4,f6,f8,f5,f7,f34,f9,f11,f13,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1174,f1185,f1183,f1173,f1212,f1202,f1223,f1225,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f633,f630,f621,f1546,f19,f1633,f523,f620,f631,f634,f1326,f1642,f1643,f1641,f1648,f26,f1716,f1717,f31,f1718,f21,f1719,f1721]) ).

fof(f1721,plain,
    ( sk_c7 = sk_c6
    | sk_c6 = multiply(sk_c7,sk_c5)
    | ~ spl0_5
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f23,f1641]) ).

fof(f1717,plain,
    ( sk_c7 = sk_c6
    | sk_c7 = inverse(sk_c2)
    | ~ spl0_5
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f33,f1641]) ).

fof(f1648,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c4,multiply(sk_c5,X0))
    | ~ spl0_5
    | ~ spl0_15 ),
    inference(superposition,[],[f3,f1641]) ).

fof(f1643,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,multiply(sk_c7,X0))
    | ~ spl0_15 ),
    inference(superposition,[],[f3,f1326]) ).

fof(f1642,plain,
    ( sk_c7 = multiply(inverse(sk_c6),sk_c5)
    | ~ spl0_15 ),
    inference(superposition,[],[f60,f1326]) ).

fof(f1305,plain,
    ( sk_c6 = multiply(sk_c6,identity)
    | ~ spl0_5 ),
    inference(superposition,[],[f1173,f1293]) ).

fof(f1294,plain,
    ( sk_c4 = multiply(sk_c4,identity)
    | ~ spl0_5 ),
    inference(superposition,[],[f1204,f1183]) ).

fof(f1309,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c6,X0)) = X0
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f1307,f1]) ).

fof(f1307,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c4,multiply(sk_c6,X0))
    | ~ spl0_5 ),
    inference(superposition,[],[f3,f1293]) ).

fof(f1308,plain,
    ( sk_c6 = multiply(sk_c6,identity)
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f1306,f184]) ).

fof(f1306,plain,
    ( sk_c6 = multiply(inverse(sk_c4),identity)
    | ~ spl0_5 ),
    inference(superposition,[],[f60,f1293]) ).

fof(f1293,plain,
    ( identity = multiply(sk_c4,sk_c6)
    | ~ spl0_5 ),
    inference(superposition,[],[f1204,f2]) ).

fof(f1301,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c6,X0)) = X0
    | ~ spl0_5 ),
    inference(superposition,[],[f60,f1204]) ).

fof(f1300,plain,
    ( sk_c4 = multiply(sk_c4,identity)
    | ~ spl0_5 ),
    inference(superposition,[],[f1183,f1204]) ).

fof(f1298,plain,
    ( ! [X0] : multiply(inverse(inverse(sk_c6)),multiply(sk_c4,X0)) = X0
    | ~ spl0_5 ),
    inference(superposition,[],[f60,f1204]) ).

fof(f1297,plain,
    ( identity = multiply(sk_c4,sk_c6)
    | ~ spl0_5 ),
    inference(superposition,[],[f2,f1204]) ).

fof(f1225,plain,
    ( ! [X0] : multiply(inverse(inverse(sk_c6)),multiply(sk_c4,X0)) = X0
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f1224,f1]) ).

fof(f1224,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(sk_c6)),multiply(sk_c4,X0))
    | ~ spl0_5 ),
    inference(superposition,[],[f3,f1202]) ).

fof(f1223,plain,
    ( sk_c4 = multiply(inverse(inverse(inverse(sk_c6))),identity)
    | ~ spl0_5 ),
    inference(superposition,[],[f60,f1202]) ).

fof(f1202,plain,
    ( identity = multiply(inverse(inverse(sk_c6)),sk_c4)
    | ~ spl0_5 ),
    inference(superposition,[],[f60,f1183]) ).

fof(f1212,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c6),X0)
    | ~ spl0_5 ),
    inference(superposition,[],[f60,f1173]) ).

fof(f1173,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c4,X0)) = X0
    | ~ spl0_5 ),
    inference(superposition,[],[f60,f184]) ).

fof(f1185,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c4,X0)) = X0
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f1184,f1]) ).

fof(f1184,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c4,X0))
    | ~ spl0_5 ),
    inference(superposition,[],[f3,f1174]) ).

fof(f1172,plain,
    ( sk_c4 = multiply(inverse(sk_c6),identity)
    | ~ spl0_5 ),
    inference(superposition,[],[f305,f184]) ).

fof(f1171,plain,
    ( identity = multiply(inverse(inverse(sk_c6)),sk_c4)
    | ~ spl0_5 ),
    inference(superposition,[],[f428,f184]) ).

fof(f1162,plain,
    ( sk_c6 = inverse(sk_c4)
    | ~ spl0_5 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f31,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f18,f16,f14,f23,f21,f19,f20,f22,f28,f26,f24,f4,f6,f8,f5,f7,f34,f184,f9,f11,f13,f10,f25,f27,f1161,f12]) ).

fof(f1161,plain,
    ( sk_c6 = inverse(sk_c4)
    | ~ spl0_5 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f31,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f18,f16,f14,f23,f21,f19,f20,f22,f12,f28,f26,f24,f4,f6,f8,f5,f7,f34,f184,f9,f11,f13,f10,f25,f27]) ).

fof(f552,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c6),X0)
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f551,f1]) ).

fof(f551,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c6),multiply(identity,X0))
    | ~ spl0_5 ),
    inference(superposition,[],[f3,f513]) ).

fof(f550,plain,
    ( identity = multiply(inverse(inverse(sk_c6)),sk_c4)
    | ~ spl0_5 ),
    inference(superposition,[],[f60,f513]) ).

fof(f513,plain,
    ( sk_c4 = multiply(inverse(sk_c6),identity)
    | ~ spl0_5 ),
    inference(superposition,[],[f60,f503]) ).

fof(f515,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c4,X0)) = X0
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f514,f1]) ).

fof(f514,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c4,X0))
    | ~ spl0_5 ),
    inference(superposition,[],[f3,f503]) ).

fof(f503,plain,
    ( identity = multiply(sk_c6,sk_c4)
    | ~ spl0_5 ),
    inference(superposition,[],[f2,f184]) ).

fof(f502,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c4,X0)) = X0
    | ~ spl0_5 ),
    inference(superposition,[],[f60,f184]) ).

fof(f501,plain,
    ( sk_c4 = multiply(inverse(sk_c6),identity)
    | ~ spl0_5 ),
    inference(superposition,[],[f305,f184]) ).

fof(f500,plain,
    ( identity = multiply(inverse(inverse(sk_c6)),sk_c4)
    | ~ spl0_5 ),
    inference(superposition,[],[f428,f184]) ).

fof(f2766,plain,
    ( ~ spl0_5
    | spl0_8
    | ~ spl0_14
    | ~ spl0_15
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2765]) ).

fof(f2765,plain,
    ( $false
    | ~ spl0_5
    | spl0_8
    | ~ spl0_14
    | ~ spl0_15
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1724,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f12,f28,f24,f26,f1847,f31,f1850,f1860,f1931,f1928,f1878,f1923,f1920,f1914,f1909,f1906,f1901,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f1652,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1656,f1816,f1329,f2255,f1281]) ).

fof(f1724,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_5
    | spl0_8
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f622,f629,f18,f632,f16,f14,f734,f801,f23,f20,f22,f4,f6,f8,f5,f7,f34,f9,f11,f13,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1174,f1185,f1183,f1173,f1212,f1202,f1223,f1225,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f633,f630,f621,f1546,f19,f1633,f523,f620,f631,f634,f1326,f1642,f1643,f1641,f1648,f26,f1716,f1717,f31,f1718,f21,f1719,f1721,f1722,f1723]) ).

fof(f1723,plain,
    ( sk_c7 = sk_c6
    | sk_c5 = multiply(sk_c2,sk_c7)
    | ~ spl0_5
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f28,f1641]) ).

fof(f2764,plain,
    ( ~ spl0_5
    | spl0_8
    | ~ spl0_14
    | ~ spl0_15
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2763]) ).

fof(f2763,plain,
    ( $false
    | ~ spl0_5
    | spl0_8
    | ~ spl0_14
    | ~ spl0_15
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1740,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f12,f28,f24,f26,f1847,f31,f1850,f1860,f1931,f1928,f1878,f1923,f1920,f1914,f1909,f1906,f1901,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f1652,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1656,f1816,f1329,f2255,f1281]) ).

fof(f1740,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_5
    | spl0_8
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f632,f1641]) ).

fof(f2762,plain,
    ( ~ spl0_5
    | spl0_8
    | ~ spl0_14
    | ~ spl0_15
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2761]) ).

fof(f2761,plain,
    ( $false
    | ~ spl0_5
    | spl0_8
    | ~ spl0_14
    | ~ spl0_15
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1743,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f12,f28,f24,f26,f1847,f31,f1850,f1860,f1931,f1928,f1878,f1923,f1920,f1914,f1909,f1906,f1901,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f1652,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1656,f1816,f1329,f2255,f1281]) ).

fof(f1743,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_5
    | spl0_8
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f629,f1641]) ).

fof(f2760,plain,
    ( ~ spl0_5
    | spl0_8
    | ~ spl0_14
    | ~ spl0_15
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2759]) ).

fof(f2759,plain,
    ( $false
    | ~ spl0_5
    | spl0_8
    | ~ spl0_14
    | ~ spl0_15
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1746,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f12,f28,f24,f26,f1847,f31,f1850,f1860,f1931,f1928,f1878,f1923,f1920,f1914,f1909,f1906,f1901,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f1652,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1656,f1816,f1329,f2255,f1281]) ).

fof(f1746,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_5
    | spl0_8
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f622,f1641]) ).

fof(f2758,plain,
    ( ~ spl0_14
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2757]) ).

fof(f2757,plain,
    ( $false
    | ~ spl0_14
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f12,f28,f24,f26,f1847,f31,f1850,f1860,f1931,f1928,f1878,f1923,f1920,f1914,f1909,f1906,f1901,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f1652,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1656,f1816,f1329,f2255,f1281]) ).

fof(f2756,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_14
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2755]) ).

fof(f2755,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_14
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f2754,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f12,f28,f24,f26,f1847,f31,f1850,f1860,f1931,f1928,f1878,f1923,f1920,f1914,f1909,f1906,f1901,f1281,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f1652,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1656,f1816,f1329,f2255]) ).

fof(f2754,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1513,f1244]) ).

fof(f1244,plain,
    ( sk_c7 = multiply(sk_c7,identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f1169,f1229]) ).

fof(f1169,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f60,f38]) ).

fof(f1513,plain,
    ( sk_c5 = multiply(sk_c7,identity)
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(superposition,[],[f518,f1281]) ).

fof(f2753,plain,
    ( ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2752]) ).

fof(f2752,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1539,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f12,f28,f24,f26,f1847,f31,f1850,f1860,f1931,f1928,f1878,f1923,f1920,f1914,f1909,f1906,f1901,f1281,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f1652,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1656,f1816,f1329,f2255]) ).

fof(f1539,plain,
    ( identity = sk_c5
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1520,f1]) ).

fof(f1520,plain,
    ( sk_c5 = multiply(identity,identity)
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(superposition,[],[f1286,f1281]) ).

fof(f2751,plain,
    ( ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2750]) ).

fof(f2750,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1541,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f12,f28,f24,f26,f1847,f31,f1850,f1860,f1931,f1928,f1878,f1923,f1920,f1914,f1909,f1906,f1901,f1281,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f1652,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1656,f1816,f1329,f2255]) ).

fof(f1541,plain,
    ( identity = sk_c5
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1522,f305]) ).

fof(f1522,plain,
    ( sk_c5 = multiply(inverse(inverse(identity)),identity)
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(superposition,[],[f1289,f1281]) ).

fof(f1289,plain,
    ( sk_c5 = multiply(inverse(inverse(sk_c6)),sk_c6)
    | ~ spl0_5
    | ~ spl0_13 ),
    inference(superposition,[],[f60,f1287]) ).

fof(f1287,plain,
    ( sk_c6 = multiply(inverse(sk_c6),sk_c5)
    | ~ spl0_5
    | ~ spl0_13 ),
    inference(superposition,[],[f60,f1286]) ).

fof(f2749,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_14
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2748]) ).

fof(f2748,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_14
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1526,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f12,f28,f24,f26,f1847,f31,f1850,f1860,f1931,f1928,f1878,f1923,f1920,f1914,f1909,f1906,f1901,f1281,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f1652,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1656,f1816,f1329,f2255]) ).

fof(f1526,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1513,f1244]) ).

fof(f2747,plain,
    ( ~ spl0_5
    | ~ spl0_14
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2746]) ).

fof(f2746,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_14
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1530,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f12,f28,f24,f26,f1847,f31,f1850,f1860,f1931,f1928,f1878,f1923,f1920,f1914,f1909,f1906,f1901,f1281,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f1652,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1656,f1816,f1329,f2255]) ).

fof(f1530,plain,
    ( identity = sk_c4
    | ~ spl0_5
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1516,f2]) ).

fof(f1516,plain,
    ( sk_c4 = multiply(inverse(identity),identity)
    | ~ spl0_5
    | ~ spl0_14 ),
    inference(superposition,[],[f1183,f1281]) ).

fof(f2745,plain,
    ( ~ spl0_7
    | ~ spl0_14
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2744]) ).

fof(f2744,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_14
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1531,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f12,f28,f24,f26,f1847,f31,f1850,f1860,f1931,f1928,f1878,f1923,f1920,f1914,f1909,f1906,f1901,f1281,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f1652,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1656,f1816,f1329,f2255]) ).

fof(f1531,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1517,f305]) ).

fof(f1517,plain,
    ( sk_c5 = multiply(inverse(inverse(sk_c7)),identity)
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(superposition,[],[f1195,f1281]) ).

fof(f1195,plain,
    ( sk_c5 = multiply(inverse(inverse(sk_c7)),sk_c6)
    | ~ spl0_7 ),
    inference(superposition,[],[f60,f1175]) ).

fof(f1175,plain,
    ( sk_c6 = multiply(inverse(sk_c7),sk_c5)
    | ~ spl0_7 ),
    inference(superposition,[],[f60,f518]) ).

fof(f2743,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_14
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2742]) ).

fof(f2742,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_14
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1730,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f12,f28,f24,f26,f1847,f31,f1850,f1860,f1931,f1928,f1878,f1923,f1920,f1914,f1909,f1906,f1901,f1281,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f1652,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1656,f1816,f1329,f2255]) ).

fof(f1730,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1513,f1244]) ).

fof(f2741,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_14
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2740]) ).

fof(f2740,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_14
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f2739,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f12,f28,f24,f26,f1847,f31,f1850,f1860,f1931,f1928,f1878,f1923,f1920,f1914,f1909,f1906,f1901,f1281,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f1652,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1656,f1816,f1329,f2255]) ).

fof(f2739,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1792,f1244]) ).

fof(f1792,plain,
    ( sk_c5 = multiply(sk_c7,identity)
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(superposition,[],[f518,f1281]) ).

fof(f2738,plain,
    ( ~ spl0_14
    | ~ spl0_15
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2737]) ).

fof(f2737,plain,
    ( $false
    | ~ spl0_14
    | ~ spl0_15
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1811,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f12,f28,f24,f26,f1847,f31,f1850,f1860,f1931,f1928,f1878,f1923,f1920,f1914,f1909,f1906,f1901,f1281,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f1652,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1656,f1816,f1329,f2255]) ).

fof(f1811,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1802,f1]) ).

fof(f1802,plain,
    ( sk_c5 = multiply(identity,sk_c7)
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(superposition,[],[f1326,f1281]) ).

fof(f2736,plain,
    ( ~ spl0_5
    | ~ spl0_14
    | ~ spl0_15
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2735]) ).

fof(f2735,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_14
    | ~ spl0_15
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1828,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f12,f28,f24,f26,f1847,f31,f1850,f1860,f1931,f1928,f1878,f1923,f1920,f1914,f1909,f1906,f1901,f1281,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f1652,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1656,f1816,f1329,f2255]) ).

fof(f1828,plain,
    ( sk_c7 = multiply(identity,sk_c5)
    | ~ spl0_5
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(superposition,[],[f1641,f1530]) ).

fof(f2734,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_14
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2733]) ).

fof(f2733,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_14
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1803,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f12,f28,f24,f26,f1847,f31,f1850,f1860,f1931,f1928,f1878,f1923,f1920,f1914,f1909,f1906,f1901,f1281,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f1652,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1656,f1816,f1329,f2255]) ).

fof(f1803,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1792,f1244]) ).

fof(f2732,plain,
    ( ~ spl0_7
    | ~ spl0_14
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2731]) ).

fof(f2731,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_14
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1805,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f12,f28,f24,f26,f1847,f31,f1850,f1860,f1931,f1928,f1878,f1923,f1920,f1914,f1909,f1906,f1901,f1281,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f1652,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1656,f1816,f1329,f2255]) ).

fof(f1805,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1796,f305]) ).

fof(f1796,plain,
    ( sk_c5 = multiply(inverse(inverse(sk_c7)),identity)
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(superposition,[],[f1195,f1281]) ).

fof(f2730,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_14
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2729]) ).

fof(f2729,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_14
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f2055,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f12,f28,f24,f26,f1847,f31,f1850,f1860,f1931,f1928,f1878,f1923,f1920,f1914,f1909,f1906,f1901,f1281,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f1652,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1656,f1816,f1329,f2255]) ).

fof(f2055,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1792,f1244]) ).

fof(f2728,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_14
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2727]) ).

fof(f2727,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_14
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f2062,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f12,f28,f24,f26,f1847,f31,f1850,f1860,f1931,f1928,f1878,f1923,f1920,f1914,f1909,f1906,f1901,f1281,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f1652,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1656,f1816,f1329,f2255]) ).

fof(f2062,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1513,f1244]) ).

fof(f2726,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_14
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2725]) ).

fof(f2725,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_14
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f2724,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f12,f28,f24,f26,f1847,f31,f1850,f1860,f1931,f1928,f1878,f1923,f1920,f1914,f1909,f1906,f1901,f1281,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f1652,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1656,f1816,f1329,f2255]) ).

fof(f2724,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f2139,f1244]) ).

fof(f2139,plain,
    ( sk_c5 = multiply(sk_c7,identity)
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(superposition,[],[f518,f1281]) ).

fof(f2723,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_14
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2722]) ).

fof(f2722,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_14
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f2149,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f12,f28,f24,f26,f1847,f31,f1850,f1860,f1931,f1928,f1878,f1923,f1920,f1914,f1909,f1906,f1901,f1281,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f1652,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1656,f1816,f1329,f2255]) ).

fof(f2149,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f2139,f1244]) ).

fof(f2721,plain,
    ( ~ spl0_7
    | ~ spl0_14
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2720]) ).

fof(f2720,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_14
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f2151,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f12,f28,f24,f26,f1847,f31,f1850,f1860,f1931,f1928,f1878,f1923,f1920,f1914,f1909,f1906,f1901,f1281,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f1652,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1656,f1816,f1329,f2255]) ).

fof(f2151,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f2143,f305]) ).

fof(f2143,plain,
    ( sk_c5 = multiply(inverse(inverse(sk_c7)),identity)
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(superposition,[],[f1195,f1281]) ).

fof(f2719,plain,
    ( ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2718]) ).

fof(f2718,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f2250,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f12,f28,f24,f26,f1847,f31,f1850,f1860,f1931,f1928,f1878,f1923,f1920,f1914,f1909,f1906,f1901,f1281,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f1652,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1656,f1816,f1329,f2255]) ).

fof(f2250,plain,
    ( identity = sk_c7
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1644,f1281]) ).

fof(f2717,plain,
    ( ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2716]) ).

fof(f2716,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f2251,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f12,f28,f24,f26,f1847,f31,f1850,f1860,f1931,f1928,f1878,f1923,f1920,f1914,f1909,f1906,f1901,f1281,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f1652,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1656,f1816,f1329,f2255]) ).

fof(f2251,plain,
    ( identity = sk_c7
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1645,f1281]) ).

fof(f1645,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(superposition,[],[f1277,f1641]) ).

fof(f2715,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2714]) ).

fof(f2714,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f2252,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f12,f28,f24,f26,f1847,f31,f1850,f1860,f1931,f1928,f1878,f1923,f1920,f1914,f1909,f1906,f1901,f1281,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f1652,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1656,f1816,f1329,f2255]) ).

fof(f2252,plain,
    ( identity = sk_c3
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1682,f1530]) ).

fof(f1682,plain,
    ( sk_c3 = sk_c4
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1663,f1180]) ).

fof(f1663,plain,
    ( sk_c4 = multiply(inverse(sk_c7),identity)
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(superposition,[],[f1183,f1644]) ).

fof(f2713,plain,
    ( ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2712]) ).

fof(f2712,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f2297,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f12,f28,f24,f26,f1847,f31,f1850,f1860,f1931,f1928,f1878,f1923,f1920,f1914,f1909,f1906,f1901,f1281,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f1652,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1656,f1816,f1329,f2255]) ).

fof(f2297,plain,
    ( identity = sk_c7
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f2296,f1]) ).

fof(f2296,plain,
    ( sk_c7 = multiply(identity,identity)
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f2122,f1281]) ).

fof(f2122,plain,
    ( sk_c7 = multiply(sk_c6,sk_c6)
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f1286,f1656]) ).

fof(f2711,plain,
    ( ~ spl0_14
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2710]) ).

fof(f2710,plain,
    ( $false
    | ~ spl0_14
    | spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f12,f28,f24,f26,f1847,f31,f1850,f1860,f1931,f1928,f1878,f1923,f1920,f1914,f1909,f1906,f1901,f1281,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f1652,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1656,f1816,f1329,f2255]) ).

fof(f2709,plain,
    ( ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2708]) ).

fof(f2708,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | spl0_16 ),
    inference(global_subsumption,[],[f2352,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1174,f1185,f1183,f1173,f1212,f1202,f1223,f1225,f1283,f1285,f1288,f1287,f1290,f1289,f1291,f1292,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1514,f1515,f1536,f1538,f1523,f1542,f26,f1793,f1794,f1804,f1807,f1809,f1799,f1810,f1847,f31,f1539,f1541,f1281,f2140,f2141,f2150,f2153,f2155,f2146,f2156,f1530,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f2496,f2490,f2455,f2477,f2446,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1286,f1277,f1329]) ).

fof(f2446,plain,
    ( sk_c4 = inverse(sk_c6)
    | ~ spl0_5 ),
    inference(superposition,[],[f2427,f1183]) ).

fof(f2477,plain,
    ( sk_c4 = inverse(sk_c6)
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f2450,f1294]) ).

fof(f2450,plain,
    ( inverse(sk_c6) = multiply(sk_c4,identity)
    | ~ spl0_5 ),
    inference(superposition,[],[f2427,f1204]) ).

fof(f2455,plain,
    ( sk_c4 = inverse(sk_c6)
    | ~ spl0_5 ),
    inference(superposition,[],[f1183,f2427]) ).

fof(f2490,plain,
    ( sk_c4 = inverse(sk_c6)
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f2459,f1294]) ).

fof(f2459,plain,
    ( inverse(sk_c6) = multiply(sk_c4,identity)
    | ~ spl0_5 ),
    inference(superposition,[],[f1204,f2427]) ).

fof(f2496,plain,
    ( sk_c4 = inverse(sk_c6)
    | ~ spl0_5 ),
    inference(superposition,[],[f2444,f184]) ).

fof(f2156,plain,
    ( ! [X0] : multiply(sk_c4,X0) = X0
    | ~ spl0_5
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f2147,f1]) ).

fof(f2147,plain,
    ( ! [X0] : multiply(sk_c4,multiply(identity,X0)) = X0
    | ~ spl0_5
    | ~ spl0_14 ),
    inference(superposition,[],[f1295,f1281]) ).

fof(f2146,plain,
    ( identity = multiply(sk_c4,identity)
    | ~ spl0_5
    | ~ spl0_14 ),
    inference(superposition,[],[f1293,f1281]) ).

fof(f2155,plain,
    ( ! [X0] : multiply(sk_c4,X0) = X0
    | ~ spl0_5
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f2154,f1]) ).

fof(f2154,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c4,X0)
    | ~ spl0_5
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f2145,f442]) ).

fof(f2145,plain,
    ( ! [X0] : multiply(inverse(identity),X0) = multiply(sk_c4,X0)
    | ~ spl0_5
    | ~ spl0_14 ),
    inference(superposition,[],[f1204,f1281]) ).

fof(f2153,plain,
    ( identity = multiply(identity,sk_c4)
    | ~ spl0_5
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f2152,f442]) ).

fof(f2152,plain,
    ( identity = multiply(inverse(identity),sk_c4)
    | ~ spl0_5
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f2144,f442]) ).

fof(f2144,plain,
    ( identity = multiply(inverse(inverse(identity)),sk_c4)
    | ~ spl0_5
    | ~ spl0_14 ),
    inference(superposition,[],[f1202,f1281]) ).

fof(f2150,plain,
    ( identity = sk_c4
    | ~ spl0_5
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f2142,f2]) ).

fof(f2142,plain,
    ( sk_c4 = multiply(inverse(identity),identity)
    | ~ spl0_5
    | ~ spl0_14 ),
    inference(superposition,[],[f1183,f1281]) ).

fof(f2141,plain,
    ( identity = multiply(identity,sk_c4)
    | ~ spl0_5
    | ~ spl0_14 ),
    inference(superposition,[],[f1174,f1281]) ).

fof(f2140,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c4,X0)) = X0
    | ~ spl0_5
    | ~ spl0_14 ),
    inference(superposition,[],[f1173,f1281]) ).

fof(f1810,plain,
    ( ! [X0] : multiply(sk_c4,X0) = X0
    | ~ spl0_5
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1800,f1]) ).

fof(f1800,plain,
    ( ! [X0] : multiply(sk_c4,multiply(identity,X0)) = X0
    | ~ spl0_5
    | ~ spl0_14 ),
    inference(superposition,[],[f1295,f1281]) ).

fof(f1799,plain,
    ( identity = multiply(sk_c4,identity)
    | ~ spl0_5
    | ~ spl0_14 ),
    inference(superposition,[],[f1293,f1281]) ).

fof(f1809,plain,
    ( ! [X0] : multiply(sk_c4,X0) = X0
    | ~ spl0_5
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1808,f1]) ).

fof(f1808,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c4,X0)
    | ~ spl0_5
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1798,f442]) ).

fof(f1798,plain,
    ( ! [X0] : multiply(inverse(identity),X0) = multiply(sk_c4,X0)
    | ~ spl0_5
    | ~ spl0_14 ),
    inference(superposition,[],[f1204,f1281]) ).

fof(f1807,plain,
    ( identity = multiply(identity,sk_c4)
    | ~ spl0_5
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1806,f442]) ).

fof(f1806,plain,
    ( identity = multiply(inverse(identity),sk_c4)
    | ~ spl0_5
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1797,f442]) ).

fof(f1797,plain,
    ( identity = multiply(inverse(inverse(identity)),sk_c4)
    | ~ spl0_5
    | ~ spl0_14 ),
    inference(superposition,[],[f1202,f1281]) ).

fof(f1804,plain,
    ( identity = sk_c4
    | ~ spl0_5
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1795,f2]) ).

fof(f1795,plain,
    ( sk_c4 = multiply(inverse(identity),identity)
    | ~ spl0_5
    | ~ spl0_14 ),
    inference(superposition,[],[f1183,f1281]) ).

fof(f1794,plain,
    ( identity = multiply(identity,sk_c4)
    | ~ spl0_5
    | ~ spl0_14 ),
    inference(superposition,[],[f1174,f1281]) ).

fof(f1793,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c4,X0)) = X0
    | ~ spl0_5
    | ~ spl0_14 ),
    inference(superposition,[],[f1173,f1281]) ).

fof(f1542,plain,
    ( ! [X0] : multiply(sk_c4,X0) = X0
    | ~ spl0_5
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1524,f1]) ).

fof(f1524,plain,
    ( ! [X0] : multiply(sk_c4,multiply(identity,X0)) = X0
    | ~ spl0_5
    | ~ spl0_14 ),
    inference(superposition,[],[f1295,f1281]) ).

fof(f1523,plain,
    ( identity = multiply(sk_c4,identity)
    | ~ spl0_5
    | ~ spl0_14 ),
    inference(superposition,[],[f1293,f1281]) ).

fof(f1538,plain,
    ( ! [X0] : multiply(sk_c4,X0) = X0
    | ~ spl0_5
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1537,f1]) ).

fof(f1537,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c4,X0)
    | ~ spl0_5
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1519,f442]) ).

fof(f1519,plain,
    ( ! [X0] : multiply(inverse(identity),X0) = multiply(sk_c4,X0)
    | ~ spl0_5
    | ~ spl0_14 ),
    inference(superposition,[],[f1204,f1281]) ).

fof(f1536,plain,
    ( identity = multiply(identity,sk_c4)
    | ~ spl0_5
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1535,f442]) ).

fof(f1535,plain,
    ( identity = multiply(inverse(identity),sk_c4)
    | ~ spl0_5
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1518,f442]) ).

fof(f1518,plain,
    ( identity = multiply(inverse(inverse(identity)),sk_c4)
    | ~ spl0_5
    | ~ spl0_14 ),
    inference(superposition,[],[f1202,f1281]) ).

fof(f1515,plain,
    ( identity = multiply(identity,sk_c4)
    | ~ spl0_5
    | ~ spl0_14 ),
    inference(superposition,[],[f1174,f1281]) ).

fof(f1514,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c4,X0)) = X0
    | ~ spl0_5
    | ~ spl0_14 ),
    inference(superposition,[],[f1173,f1281]) ).

fof(f1292,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(inverse(inverse(sk_c6)),multiply(sk_c6,X0))
    | ~ spl0_5
    | ~ spl0_13 ),
    inference(superposition,[],[f3,f1289]) ).

fof(f1291,plain,
    ( sk_c6 = multiply(inverse(inverse(inverse(sk_c6))),sk_c5)
    | ~ spl0_5
    | ~ spl0_13 ),
    inference(superposition,[],[f60,f1289]) ).

fof(f1290,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(sk_c6),multiply(sk_c5,X0))
    | ~ spl0_5
    | ~ spl0_13 ),
    inference(superposition,[],[f3,f1287]) ).

fof(f1288,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,multiply(sk_c6,X0))
    | ~ spl0_5
    | ~ spl0_13 ),
    inference(superposition,[],[f3,f1286]) ).

fof(f1285,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c4,multiply(sk_c5,X0))
    | ~ spl0_13 ),
    inference(superposition,[],[f3,f1277]) ).

fof(f1283,plain,
    ( sk_c5 = multiply(sk_c6,sk_c6)
    | ~ spl0_5
    | ~ spl0_13 ),
    inference(superposition,[],[f1173,f1277]) ).

fof(f2352,plain,
    ( identity = multiply(sk_c7,identity)
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1662,f1530]) ).

fof(f1662,plain,
    ( identity = multiply(sk_c7,sk_c4)
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(superposition,[],[f1174,f1644]) ).

fof(f2707,plain,
    ( ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2706]) ).

fof(f2706,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1174,f1185,f1183,f1173,f1212,f1202,f1223,f1225,f1283,f1285,f1288,f1287,f1290,f1289,f1291,f1292,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1514,f1515,f1536,f1538,f1523,f1542,f26,f1793,f1794,f1804,f1807,f1809,f1799,f1810,f1847,f31,f1539,f1541,f1281,f2140,f2141,f2150,f2153,f2155,f2146,f2156,f1530,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f2496,f2490,f2455,f2477,f2446,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1286,f1277,f1329]) ).

fof(f2705,plain,
    ( ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2704]) ).

fof(f2704,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1816,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1174,f1185,f1183,f1173,f1212,f1202,f1223,f1225,f1283,f1285,f1288,f1287,f1290,f1289,f1291,f1292,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1514,f1515,f1536,f1538,f1523,f1542,f1329,f26,f1793,f1794,f1804,f1807,f1809,f1799,f1810,f1847,f31,f1539,f1541,f1281,f2140,f2141,f2150,f2153,f2155,f2146,f2156,f1530,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f2496,f2490,f2455,f2477,f2446,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1286,f1277]) ).

fof(f2703,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2702]) ).

fof(f2702,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | spl0_16 ),
    inference(global_subsumption,[],[f1694,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1174,f1185,f1183,f1173,f1212,f1202,f1223,f1225,f1283,f1285,f1288,f1287,f1290,f1289,f1291,f1292,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1514,f1515,f1536,f1538,f1523,f1542,f1329,f26,f1793,f1794,f1804,f1807,f1809,f1799,f1810,f1847,f31,f1539,f1541,f1281,f2140,f2141,f2150,f2153,f2155,f2146,f2156,f1530,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f2496,f2490,f2455,f2477,f2446,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1286,f1277]) ).

fof(f1694,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_15
    | spl0_16 ),
    inference(forward_demodulation,[],[f1693,f1229]) ).

fof(f1693,plain,
    ( sk_c7 = multiply(sk_c3,sk_c7)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_15
    | spl0_16 ),
    inference(forward_demodulation,[],[f1692,f1644]) ).

fof(f1692,plain,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | ~ spl0_1
    | ~ spl0_4
    | spl0_16 ),
    inference(subsumption_resolution,[],[f1393,f1329]) ).

fof(f1393,plain,
    ( identity = sk_c5
    | sk_c7 = multiply(sk_c3,sk_c6)
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f1392,f1229]) ).

fof(f1392,plain,
    ( sk_c5 = multiply(sk_c3,sk_c7)
    | sk_c7 = multiply(sk_c3,sk_c6)
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f26,f544]) ).

fof(f2701,plain,
    ( ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2700]) ).

fof(f2700,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1656,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1174,f1185,f1183,f1173,f1212,f1202,f1223,f1225,f1283,f1285,f1288,f1287,f1290,f1289,f1291,f1292,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1514,f1515,f1536,f1538,f1523,f1542,f1329,f26,f1793,f1794,f1804,f1807,f1809,f1799,f1810,f1847,f31,f1539,f1541,f1281,f2140,f2141,f2150,f2153,f2155,f2146,f2156,f1530,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f2496,f2490,f2455,f2477,f2446,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1286,f1277]) ).

fof(f2699,plain,
    ( ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | spl0_16
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2698]) ).

fof(f2698,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | spl0_16
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1817,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1174,f1185,f1183,f1173,f1212,f1202,f1223,f1225,f1283,f1285,f1288,f1287,f1290,f1289,f1291,f1292,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1514,f1515,f1536,f1538,f1523,f1542,f1329,f26,f1793,f1794,f1804,f1807,f1809,f1799,f1810,f1847,f31,f1539,f1541,f1281,f2140,f2141,f2150,f2153,f2155,f2146,f2156,f1530,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f2496,f2490,f2455,f2477,f2446,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1286,f1277]) ).

fof(f1817,plain,
    ( sk_c7 = multiply(sk_c4,sk_c7)
    | ~ spl0_5
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(superposition,[],[f1641,f1656]) ).

fof(f2697,plain,
    ( ~ spl0_5
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2696]) ).

fof(f2696,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1818,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1174,f1185,f1183,f1173,f1212,f1202,f1223,f1225,f1283,f1285,f1288,f1287,f1290,f1289,f1291,f1292,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1514,f1515,f1536,f1538,f1523,f1542,f1329,f26,f1793,f1794,f1804,f1807,f1809,f1799,f1810,f1847,f31,f1539,f1541,f1281,f2140,f2141,f2150,f2153,f2155,f2146,f2156,f1530,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f2496,f2490,f2455,f2477,f2446,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1286,f1277]) ).

fof(f1818,plain,
    ( identity = sk_c6
    | ~ spl0_7
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f1814,f2]) ).

fof(f1814,plain,
    ( sk_c6 = multiply(inverse(sk_c7),sk_c7)
    | ~ spl0_7
    | ~ spl0_18 ),
    inference(superposition,[],[f1175,f1656]) ).

fof(f2695,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2694]) ).

fof(f2694,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1819,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1174,f1185,f1183,f1173,f1212,f1202,f1223,f1225,f1283,f1285,f1288,f1287,f1290,f1289,f1291,f1292,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1514,f1515,f1536,f1538,f1523,f1542,f1329,f26,f1793,f1794,f1804,f1807,f1809,f1799,f1810,f1847,f31,f1539,f1541,f1281,f2140,f2141,f2150,f2153,f2155,f2146,f2156,f1530,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f2496,f2490,f2455,f2477,f2446,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1286,f1277]) ).

fof(f1819,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f1815,f1229]) ).

fof(f1815,plain,
    ( sk_c6 = multiply(sk_c3,sk_c7)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_18 ),
    inference(superposition,[],[f1233,f1656]) ).

fof(f1233,plain,
    ( sk_c6 = multiply(sk_c3,sk_c5)
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(superposition,[],[f1201,f1175]) ).

fof(f2693,plain,
    ( ~ spl0_5
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2692]) ).

fof(f2692,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f2373,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1174,f1185,f1183,f1173,f1212,f1202,f1223,f1225,f1283,f1285,f1288,f1287,f1290,f1289,f1291,f1292,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1514,f1515,f1536,f1538,f1523,f1542,f1329,f26,f1793,f1794,f1804,f1807,f1809,f1799,f1810,f1847,f31,f1539,f1541,f1281,f2140,f2141,f2150,f2153,f2155,f2146,f2156,f1530,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f2496,f2490,f2455,f2477,f2446,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1286,f1277]) ).

fof(f2373,plain,
    ( identity = sk_c6
    | ~ spl0_7
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f2372,f428]) ).

fof(f2372,plain,
    ( sk_c6 = multiply(inverse(inverse(inverse(sk_c7))),sk_c7)
    | ~ spl0_7
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f1215,f1656]) ).

fof(f1215,plain,
    ( sk_c6 = multiply(inverse(inverse(inverse(sk_c7))),sk_c5)
    | ~ spl0_7 ),
    inference(superposition,[],[f60,f1195]) ).

fof(f2689,plain,
    ( ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | spl0_16
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2688]) ).

fof(f2688,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | spl0_16
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f2048,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1174,f1185,f1183,f1173,f1212,f1202,f1223,f1225,f1283,f1285,f1288,f1287,f1290,f1289,f1291,f1292,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1514,f1515,f1536,f1538,f1523,f1542,f1329,f26,f1793,f1794,f1804,f1807,f1809,f1799,f1810,f1847,f31,f1539,f1541,f1281,f2140,f2141,f2150,f2153,f2155,f2146,f2156,f1530,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f2496,f2490,f2455,f2477,f2446,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1286,f1277]) ).

fof(f2048,plain,
    ( sk_c7 = multiply(sk_c6,sk_c7)
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f9,f13,f10,f25,f27,f12,f28,f24,f19,f1326,f1642,f1643,f26,f21,f1656,f1901,f11,f1906,f1909,f16,f1914,f1920,f2001,f31,f1850,f1860,f1931,f1928,f1878,f1923]) ).

fof(f2001,plain,
    ( sk_c7 = multiply(sk_c6,sk_c7)
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f1326,f1656]) ).

fof(f2687,plain,
    ( ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | spl0_16
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2686]) ).

fof(f2686,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | spl0_16
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f2049,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1174,f1185,f1183,f1173,f1212,f1202,f1223,f1225,f1283,f1285,f1288,f1287,f1290,f1289,f1291,f1292,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1514,f1515,f1536,f1538,f1523,f1542,f1329,f26,f1793,f1794,f1804,f1807,f1809,f1799,f1810,f1847,f31,f1539,f1541,f1281,f2140,f2141,f2150,f2153,f2155,f2146,f2156,f1530,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f2496,f2490,f2455,f2477,f2446,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1286,f1277]) ).

fof(f2049,plain,
    ( sk_c7 = multiply(sk_c6,sk_c7)
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f9,f13,f10,f25,f27,f12,f28,f24,f19,f1326,f1642,f1643,f26,f21,f1656,f1901,f11,f1906,f1909,f16,f1914,f2001,f31,f1850,f1860,f1931,f1928,f1878,f1923,f2048,f1920]) ).

fof(f2685,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2684]) ).

fof(f2684,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f2404,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1174,f1185,f1183,f1173,f1212,f1202,f1223,f1225,f1283,f1285,f1288,f1287,f1290,f1289,f1291,f1292,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1514,f1515,f1536,f1538,f1523,f1542,f1329,f26,f1793,f1794,f1804,f1807,f1809,f1799,f1810,f1847,f31,f1539,f1541,f1281,f2140,f2141,f2150,f2153,f2155,f2146,f2156,f1530,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f2496,f2490,f2455,f2477,f2446,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1286,f1277]) ).

fof(f2404,plain,
    ( ! [X0] : multiply(sk_c6,X0) = X0
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f2403,f1231]) ).

fof(f1231,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c7,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f1201,f60]) ).

fof(f2403,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c3,multiply(sk_c7,X0))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f1258,f1656]) ).

fof(f1258,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c3,multiply(sk_c5,X0))
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(superposition,[],[f3,f1233]) ).

fof(f2683,plain,
    ( ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | spl0_16
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2682]) ).

fof(f2682,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | spl0_16
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f2053,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1174,f1185,f1183,f1173,f1212,f1202,f1223,f1225,f1283,f1285,f1288,f1287,f1290,f1289,f1291,f1292,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1514,f1515,f1536,f1538,f1523,f1542,f1329,f26,f1793,f1794,f1804,f1807,f1809,f1799,f1810,f1847,f31,f1539,f1541,f1281,f2140,f2141,f2150,f2153,f2155,f2146,f2156,f1530,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f2496,f2490,f2455,f2477,f2446,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1286,f1277]) ).

fof(f2053,plain,
    ( sk_c7 = multiply(sk_c6,sk_c7)
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f9,f13,f10,f25,f27,f12,f28,f24,f19,f1326,f1642,f1643,f26,f21,f1656,f1901,f11,f2001,f31,f1850,f1860,f1931,f1928,f1878,f1923,f2048,f1920,f2049,f1914,f16,f1909,f1906]) ).

fof(f2681,plain,
    ( ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | spl0_16
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2680]) ).

fof(f2680,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | spl0_16
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f2101,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1174,f1185,f1183,f1173,f1212,f1202,f1223,f1225,f1283,f1285,f1288,f1287,f1290,f1289,f1291,f1292,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1514,f1515,f1536,f1538,f1523,f1542,f1329,f26,f1793,f1794,f1804,f1807,f1809,f1799,f1810,f1847,f31,f1539,f1541,f1281,f2140,f2141,f2150,f2153,f2155,f2146,f2156,f1530,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f2496,f2490,f2455,f2477,f2446,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1286,f1277]) ).

fof(f2101,plain,
    ( sk_c7 = multiply(sk_c7,sk_c7)
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f1674,f1656]) ).

fof(f2679,plain,
    ( ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | spl0_16
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2678]) ).

fof(f2678,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | spl0_16
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f2114,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1174,f1185,f1183,f1173,f1212,f1202,f1223,f1225,f1283,f1285,f1288,f1287,f1290,f1289,f1291,f1292,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1514,f1515,f1536,f1538,f1523,f1542,f1329,f26,f1793,f1794,f1804,f1807,f1809,f1799,f1810,f1847,f31,f1539,f1541,f1281,f2140,f2141,f2150,f2153,f2155,f2146,f2156,f1530,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f2496,f2490,f2455,f2477,f2446,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1286,f1277]) ).

fof(f2114,plain,
    ( sk_c7 = multiply(sk_c7,sk_c7)
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f1668,f1656]) ).

fof(f2677,plain,
    ( ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2676]) ).

fof(f2676,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f2122,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1174,f1185,f1183,f1173,f1212,f1202,f1223,f1225,f1283,f1285,f1288,f1287,f1290,f1289,f1291,f1292,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1514,f1515,f1536,f1538,f1523,f1542,f1329,f26,f1793,f1794,f1804,f1807,f1809,f1799,f1810,f1847,f31,f1539,f1541,f1281,f2140,f2141,f2150,f2153,f2155,f2146,f2156,f1530,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f2496,f2490,f2455,f2477,f2446,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1286,f1277]) ).

fof(f2675,plain,
    ( ~ spl0_5
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | spl0_16
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2674]) ).

fof(f2674,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | spl0_16
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f2125,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1174,f1185,f1183,f1173,f1212,f1202,f1223,f1225,f1283,f1285,f1288,f1287,f1290,f1289,f1291,f1292,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1514,f1515,f1536,f1538,f1523,f1542,f1329,f26,f1793,f1794,f1804,f1807,f1809,f1799,f1810,f1847,f31,f1539,f1541,f1281,f2140,f2141,f2150,f2153,f2155,f2146,f2156,f1530,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f2496,f2490,f2455,f2477,f2446,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1286,f1277]) ).

fof(f2125,plain,
    ( sk_c7 = multiply(sk_c7,sk_c7)
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f1659,f1656]) ).

fof(f2673,plain,
    ( ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2672]) ).

fof(f2672,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f2130,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1174,f1185,f1183,f1173,f1212,f1202,f1223,f1225,f1283,f1285,f1288,f1287,f1290,f1289,f1291,f1292,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1514,f1515,f1536,f1538,f1523,f1542,f1329,f26,f1793,f1794,f1804,f1807,f1809,f1799,f1810,f1847,f31,f1539,f1541,f1281,f2140,f2141,f2150,f2153,f2155,f2146,f2156,f1530,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f2496,f2490,f2455,f2477,f2446,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1286,f1277]) ).

fof(f2130,plain,
    ( sk_c6 = multiply(sk_c4,sk_c7)
    | ~ spl0_13
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f1277,f1656]) ).

fof(f2671,plain,
    ( ~ spl0_5
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2670]) ).

fof(f2670,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f2413,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1174,f1185,f1183,f1173,f1212,f1202,f1223,f1225,f1283,f1285,f1288,f1287,f1290,f1289,f1291,f1292,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1514,f1515,f1536,f1538,f1523,f1542,f1329,f26,f1793,f1794,f1804,f1807,f1809,f1799,f1810,f1847,f31,f1539,f1541,f1281,f2140,f2141,f2150,f2153,f2155,f2146,f2156,f1530,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f2496,f2490,f2455,f2477,f2446,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1286,f1277]) ).

fof(f2413,plain,
    ( ! [X0] : multiply(sk_c6,X0) = X0
    | ~ spl0_7
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f2412,f60]) ).

fof(f2412,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(sk_c7),multiply(sk_c7,X0))
    | ~ spl0_7
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f1196,f1656]) ).

fof(f1196,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(sk_c7),multiply(sk_c5,X0))
    | ~ spl0_7 ),
    inference(superposition,[],[f3,f1175]) ).

fof(f2669,plain,
    ( ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | spl0_16
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2668]) ).

fof(f2668,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | spl0_16
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1980,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1174,f1185,f1183,f1173,f1212,f1202,f1223,f1225,f1283,f1285,f1288,f1287,f1290,f1289,f1291,f1292,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1514,f1515,f1536,f1538,f1523,f1542,f1329,f26,f1793,f1794,f1804,f1807,f1809,f1799,f1810,f1847,f31,f1539,f1541,f1281,f2140,f2141,f2150,f2153,f2155,f2146,f2156,f1530,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f2496,f2490,f2455,f2477,f2446,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1286,f1277]) ).

fof(f1980,plain,
    ( sk_c7 = multiply(sk_c4,sk_c7)
    | ~ spl0_5
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f1641,f1656]) ).

fof(f2667,plain,
    ( ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | spl0_16
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2666]) ).

fof(f2666,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | spl0_16
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f2001,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1174,f1185,f1183,f1173,f1212,f1202,f1223,f1225,f1283,f1285,f1288,f1287,f1290,f1289,f1291,f1292,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1514,f1515,f1536,f1538,f1523,f1542,f1329,f26,f1793,f1794,f1804,f1807,f1809,f1799,f1810,f1847,f31,f1539,f1541,f1281,f2140,f2141,f2150,f2153,f2155,f2146,f2156,f1530,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f2496,f2490,f2455,f2477,f2446,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1286,f1277]) ).

fof(f2665,plain,
    ( ~ spl0_5
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2664]) ).

fof(f2664,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(global_subsumption,[],[f2515,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1174,f1185,f1183,f1173,f1212,f1202,f1223,f1225,f1283,f1285,f1288,f1287,f1290,f1289,f1291,f1292,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1514,f1515,f1536,f1538,f1523,f1542,f1329,f26,f1793,f1794,f1804,f1807,f1809,f1799,f1810,f1847,f31,f1539,f1541,f1281,f2140,f2141,f2150,f2153,f2155,f2146,f2156,f1530,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f2496,f2490,f2455,f2477,f2446,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1286,f1277]) ).

fof(f2515,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c7,multiply(sk_c6,X0))
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f1216,f2444]) ).

fof(f1216,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(inverse(inverse(sk_c7)),multiply(sk_c6,X0))
    | ~ spl0_7 ),
    inference(superposition,[],[f3,f1195]) ).

fof(f2663,plain,
    ( ~ spl0_5
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2662]) ).

fof(f2662,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(global_subsumption,[],[f1176,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1174,f1185,f1183,f1173,f1212,f1202,f1223,f1225,f1283,f1285,f1288,f1287,f1290,f1289,f1291,f1292,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1514,f1515,f1536,f1538,f1523,f1542,f1329,f26,f1793,f1794,f1804,f1807,f1809,f1799,f1810,f1847,f31,f1539,f1541,f1281,f2140,f2141,f2150,f2153,f2155,f2146,f2156,f1530,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f2496,f2490,f2455,f2477,f2446,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1286,f1277]) ).

fof(f1176,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c7,multiply(sk_c6,X0))
    | ~ spl0_7 ),
    inference(superposition,[],[f3,f518]) ).

fof(f2661,plain,
    ( ~ spl0_5
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2660]) ).

fof(f2660,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(global_subsumption,[],[f1196,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1174,f1185,f1183,f1173,f1212,f1202,f1223,f1225,f1283,f1285,f1288,f1287,f1290,f1289,f1291,f1292,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1514,f1515,f1536,f1538,f1523,f1542,f1329,f26,f1793,f1794,f1804,f1807,f1809,f1799,f1810,f1847,f31,f1539,f1541,f1281,f2140,f2141,f2150,f2153,f2155,f2146,f2156,f1530,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f2496,f2490,f2455,f2477,f2446,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1286,f1277]) ).

fof(f2659,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2658]) ).

fof(f2658,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(global_subsumption,[],[f1258,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1174,f1185,f1183,f1173,f1212,f1202,f1223,f1225,f1283,f1285,f1288,f1287,f1290,f1289,f1291,f1292,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1514,f1515,f1536,f1538,f1523,f1542,f1329,f26,f1793,f1794,f1804,f1807,f1809,f1799,f1810,f1847,f31,f1539,f1541,f1281,f2140,f2141,f2150,f2153,f2155,f2146,f2156,f1530,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f2496,f2490,f2455,f2477,f2446,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1286,f1277]) ).

fof(f2656,plain,
    ( ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2655]) ).

fof(f2655,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1174,f1185,f1183,f1173,f1212,f1202,f1223,f1225,f1283,f1285,f1288,f1287,f1290,f1289,f1291,f1292,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1514,f1515,f1536,f1538,f1523,f1542,f1329,f26,f1793,f1794,f1804,f1807,f1809,f1799,f1810,f1847,f31,f1539,f1541,f1281,f2140,f2141,f2150,f2153,f2155,f2146,f2156,f1530,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f2496,f2490,f2455,f2477,f2446,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1286,f1277]) ).

fof(f2654,plain,
    ( ~ spl0_5
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2653]) ).

fof(f2653,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | spl0_16 ),
    inference(global_subsumption,[],[f1659,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1174,f1185,f1183,f1173,f1212,f1202,f1223,f1225,f1277,f1283,f1285,f1288,f1287,f1290,f1289,f1291,f1292,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1514,f1515,f1536,f1538,f1523,f1542,f1329,f26,f1793,f1794,f1804,f1807,f1809,f1799,f1810,f1847,f31,f1539,f1541,f1281,f2140,f2141,f2150,f2153,f2155,f2146,f2156,f1530,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f2496,f2490,f2455,f2477,f2446,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1286]) ).

fof(f2652,plain,
    ( ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2651]) ).

fof(f2651,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1174,f1185,f1183,f1173,f1212,f1202,f1223,f1225,f1277,f1283,f1285,f1288,f1287,f1290,f1289,f1291,f1292,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1514,f1515,f1536,f1538,f1523,f1542,f1329,f26,f1793,f1794,f1804,f1807,f1809,f1799,f1810,f1847,f31,f1539,f1541,f1281,f2140,f2141,f2150,f2153,f2155,f2146,f2156,f1530,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f2496,f2490,f2455,f2477,f2446,f16,f11,f21,f14,f18,f23,f13,f9,f19,f1286]) ).

fof(f2650,plain,
    ( ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2649]) ).

fof(f2649,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | spl0_16 ),
    inference(global_subsumption,[],[f1668,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1174,f1185,f1183,f1173,f1212,f1202,f1223,f1225,f1277,f1283,f1285,f1286,f1288,f1287,f1290,f1289,f1291,f1292,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1514,f1515,f1536,f1538,f1523,f1542,f1329,f26,f1793,f1794,f1804,f1807,f1809,f1799,f1810,f1847,f31,f1539,f1541,f1281,f2140,f2141,f2150,f2153,f2155,f2146,f2156,f1530,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f2496,f2490,f2455,f2477,f2446,f16,f11,f21,f14,f18,f23,f13,f9,f19]) ).

fof(f2648,plain,
    ( ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2647]) ).

fof(f2647,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | spl0_16 ),
    inference(global_subsumption,[],[f1674,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1174,f1185,f1183,f1173,f1212,f1202,f1223,f1225,f1277,f1283,f1285,f1286,f1288,f1287,f1290,f1289,f1291,f1292,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1514,f1515,f1536,f1538,f1523,f1542,f1329,f26,f1793,f1794,f1804,f1807,f1809,f1799,f1810,f1847,f31,f1539,f1541,f1281,f2140,f2141,f2150,f2153,f2155,f2146,f2156,f1530,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f2496,f2490,f2455,f2477,f2446,f16,f11,f21,f14,f18,f23,f13,f9,f19]) ).

fof(f2646,plain,
    ( ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2645]) ).

fof(f2645,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | spl0_16 ),
    inference(global_subsumption,[],[f1326,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1174,f1185,f1183,f1173,f1212,f1202,f1223,f1225,f1277,f1283,f1285,f1286,f1288,f1287,f1290,f1289,f1291,f1292,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1514,f1515,f1536,f1538,f1523,f1542,f1329,f26,f1793,f1794,f1804,f1807,f1809,f1799,f1810,f1847,f31,f1539,f1541,f1281,f2140,f2141,f2150,f2153,f2155,f2146,f2156,f1530,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f2496,f2490,f2455,f2477,f2446,f16,f11,f21,f14,f18,f23,f13,f9,f19]) ).

fof(f2644,plain,
    ( ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2643]) ).

fof(f2643,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | spl0_16 ),
    inference(global_subsumption,[],[f1641,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1174,f1185,f1183,f1173,f1212,f1202,f1223,f1225,f1277,f1283,f1285,f1286,f1288,f1287,f1290,f1289,f1291,f1292,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1514,f1515,f1536,f1538,f1523,f1542,f1329,f26,f1793,f1794,f1804,f1807,f1809,f1799,f1810,f1847,f31,f1539,f1541,f1281,f2140,f2141,f2150,f2153,f2155,f2146,f2156,f1530,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f2496,f2490,f2455,f2477,f2446,f16,f11,f21,f14,f18,f23,f13,f9,f19]) ).

fof(f2642,plain,
    ( ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2641]) ).

fof(f2641,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1174,f1185,f1183,f1173,f1212,f1202,f1223,f1225,f1277,f1283,f1285,f1286,f1288,f1287,f1290,f1289,f1291,f1292,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1514,f1515,f1536,f1538,f1523,f1542,f1329,f26,f1793,f1794,f1804,f1807,f1809,f1799,f1810,f1847,f31,f1539,f1541,f1281,f2140,f2141,f2150,f2153,f2155,f2146,f2156,f1530,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f2496,f2490,f2455,f2477,f2446,f16,f11,f21,f14,f18,f23,f13,f9,f19]) ).

fof(f2640,plain,
    ( ~ spl0_5
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2639]) ).

fof(f2639,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(global_subsumption,[],[f1492,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1174,f1185,f1183,f1173,f1212,f1202,f1223,f1225,f1277,f1283,f1285,f1286,f1288,f1287,f1290,f1289,f1291,f1292,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1514,f1515,f1536,f1538,f1523,f1542,f19,f1329,f26,f1793,f1794,f1804,f1807,f1809,f1799,f1810,f1847,f31,f1539,f1541,f1281,f2140,f2141,f2150,f2153,f2155,f2146,f2156,f1530,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f2496,f2490,f2455,f2477,f2446,f16,f11,f21,f14,f18,f23,f13,f9]) ).

fof(f2638,plain,
    ( ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2637]) ).

fof(f2637,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f20,f22,f4,f6,f8,f5,f7,f34,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1174,f1185,f1183,f1173,f1212,f1202,f1223,f1225,f1277,f1283,f1285,f1286,f1288,f1287,f1290,f1289,f1291,f1292,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1514,f1515,f1536,f1538,f1523,f1542,f19,f1329,f26,f1793,f1794,f1804,f1807,f1809,f1799,f1810,f1847,f31,f1539,f1541,f1281,f2140,f2141,f2150,f2153,f2155,f2146,f2156,f1530,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f2496,f2490,f2455,f2477,f2446,f16,f11,f21,f14,f18,f23,f13,f9]) ).

fof(f2636,plain,
    ( ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2635]) ).

fof(f2635,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f20,f22,f4,f6,f8,f5,f7,f34,f9,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1174,f1185,f1183,f1173,f1212,f1202,f1223,f1225,f1277,f1283,f1285,f1286,f1288,f1287,f1290,f1289,f1291,f1292,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1514,f1515,f1536,f1538,f1523,f1542,f19,f1329,f26,f1793,f1794,f1804,f1807,f1809,f1799,f1810,f1847,f31,f1539,f1541,f1281,f2140,f2141,f2150,f2153,f2155,f2146,f2156,f1530,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f2496,f2490,f2455,f2477,f2446,f16,f11,f21,f14,f18,f23,f13]) ).

fof(f2634,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2633]) ).

fof(f2633,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(global_subsumption,[],[f2564,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f20,f22,f4,f6,f8,f5,f7,f34,f9,f13,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1174,f1185,f1183,f1173,f1212,f1202,f1223,f1225,f1277,f1283,f1285,f1286,f1288,f1287,f1290,f1289,f1291,f1292,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1514,f1515,f1536,f1538,f1523,f1542,f19,f1329,f26,f1793,f1794,f1804,f1807,f1809,f1799,f1810,f1847,f31,f1539,f1541,f1281,f2140,f2141,f2150,f2153,f2155,f2146,f2156,f1530,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f2496,f2490,f2455,f2477,f2446,f16,f11,f21,f14,f18,f23]) ).

fof(f2564,plain,
    ( identity = sk_c5
    | sk_c5 = multiply(sk_c6,sk_c7)
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f2563,f1229]) ).

fof(f2563,plain,
    ( sk_c5 = multiply(sk_c3,sk_c7)
    | sk_c5 = multiply(sk_c6,sk_c7)
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f24,f544]) ).

fof(f2632,plain,
    ( ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2631]) ).

fof(f2631,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f20,f22,f4,f6,f8,f5,f7,f34,f9,f13,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1174,f1185,f1183,f1173,f1212,f1202,f1223,f1225,f1277,f1283,f1285,f1286,f1288,f1287,f1290,f1289,f1291,f1292,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1514,f1515,f1536,f1538,f1523,f1542,f19,f1329,f26,f1793,f1794,f1804,f1807,f1809,f1799,f1810,f1847,f31,f1539,f1541,f1281,f2140,f2141,f2150,f2153,f2155,f2146,f2156,f1530,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f2496,f2490,f2455,f2477,f2446,f16,f11,f21,f14,f18,f23]) ).

fof(f2630,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2629]) ).

fof(f2629,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(global_subsumption,[],[f2571,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f23,f20,f22,f4,f6,f8,f5,f7,f34,f9,f13,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1174,f1185,f1183,f1173,f1212,f1202,f1223,f1225,f1277,f1283,f1285,f1286,f1288,f1287,f1290,f1289,f1291,f1292,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1514,f1515,f1536,f1538,f1523,f1542,f19,f1329,f26,f1793,f1794,f1804,f1807,f1809,f1799,f1810,f1847,f31,f1539,f1541,f1281,f2140,f2141,f2150,f2153,f2155,f2146,f2156,f1530,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f2496,f2490,f2455,f2477,f2446,f16,f11,f21,f14,f18]) ).

fof(f2571,plain,
    ( identity = sk_c5
    | sk_c6 = multiply(sk_c4,sk_c5)
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f2570,f1229]) ).

fof(f2570,plain,
    ( sk_c5 = multiply(sk_c3,sk_c7)
    | sk_c6 = multiply(sk_c4,sk_c5)
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f28,f544]) ).

fof(f2628,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2627]) ).

fof(f2627,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(global_subsumption,[],[f2573,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f23,f20,f22,f4,f6,f8,f5,f7,f34,f9,f13,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1174,f1185,f1183,f1173,f1212,f1202,f1223,f1225,f1277,f1283,f1285,f1286,f1288,f1287,f1290,f1289,f1291,f1292,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1514,f1515,f1536,f1538,f1523,f1542,f19,f1329,f26,f1793,f1794,f1804,f1807,f1809,f1799,f1810,f1847,f31,f1539,f1541,f1281,f2140,f2141,f2150,f2153,f2155,f2146,f2156,f1530,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f2496,f2490,f2455,f2477,f2446,f16,f11,f21,f14,f18]) ).

fof(f2573,plain,
    ( identity = sk_c5
    | sk_c7 = multiply(sk_c3,sk_c6)
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f2572,f1229]) ).

fof(f2572,plain,
    ( sk_c5 = multiply(sk_c3,sk_c7)
    | sk_c7 = multiply(sk_c3,sk_c6)
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f26,f544]) ).

fof(f2626,plain,
    ( ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2625]) ).

fof(f2625,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f23,f20,f22,f4,f6,f8,f5,f7,f34,f9,f13,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1174,f1185,f1183,f1173,f1212,f1202,f1223,f1225,f1277,f1283,f1285,f1286,f1288,f1287,f1290,f1289,f1291,f1292,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1514,f1515,f1536,f1538,f1523,f1542,f19,f1329,f26,f1793,f1794,f1804,f1807,f1809,f1799,f1810,f1847,f31,f1539,f1541,f1281,f2140,f2141,f2150,f2153,f2155,f2146,f2156,f1530,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f2496,f2490,f2455,f2477,f2446,f16,f11,f21,f14,f18]) ).

fof(f2624,plain,
    ( ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2623]) ).

fof(f2623,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f18,f23,f20,f22,f4,f6,f8,f5,f7,f34,f9,f13,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1174,f1185,f1183,f1173,f1212,f1202,f1223,f1225,f1277,f1283,f1285,f1286,f1288,f1287,f1290,f1289,f1291,f1292,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1514,f1515,f1536,f1538,f1523,f1542,f19,f1329,f26,f1793,f1794,f1804,f1807,f1809,f1799,f1810,f1847,f31,f1539,f1541,f1281,f2140,f2141,f2150,f2153,f2155,f2146,f2156,f1530,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f2496,f2490,f2455,f2477,f2446,f16,f11,f21,f14]) ).

fof(f2622,plain,
    ( ~ spl0_5
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2621]) ).

fof(f2621,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(global_subsumption,[],[f535,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f9,f13,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1174,f1185,f1183,f1173,f1212,f1202,f1223,f1225,f1277,f1283,f1285,f1286,f1288,f1287,f1290,f1289,f1291,f1292,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1514,f1515,f1536,f1538,f1523,f1542,f19,f1329,f26,f1793,f1794,f1804,f1807,f1809,f1799,f1810,f1847,f31,f1539,f1541,f1281,f2140,f2141,f2150,f2153,f2155,f2146,f2156,f1530,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f2496,f2490,f2455,f2477,f2446,f16,f11,f21]) ).

fof(f535,plain,
    ( ! [X6] :
        ( sk_c6 != inverse(X6)
        | sk_c6 != multiply(X6,sk_c5) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f534]) ).

fof(f534,plain,
    ( spl0_12
  <=> ! [X6] :
        ( sk_c6 != inverse(X6)
        | sk_c6 != multiply(X6,sk_c5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f2620,plain,
    ( ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2619]) ).

fof(f2619,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f9,f13,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1174,f1185,f1183,f1173,f1212,f1202,f1223,f1225,f1277,f1283,f1285,f1286,f1288,f1287,f1290,f1289,f1291,f1292,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1514,f1515,f1536,f1538,f1523,f1542,f19,f1329,f26,f1793,f1794,f1804,f1807,f1809,f1799,f1810,f1847,f31,f1539,f1541,f1281,f2140,f2141,f2150,f2153,f2155,f2146,f2156,f1530,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f2496,f2490,f2455,f2477,f2446,f16,f11,f21]) ).

fof(f2618,plain,
    ( ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2617]) ).

fof(f2617,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f9,f13,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1174,f1185,f1183,f1173,f1212,f1202,f1223,f1225,f1277,f1283,f1285,f1286,f1288,f1287,f1290,f1289,f1291,f1292,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1514,f1515,f1536,f1538,f1523,f1542,f19,f1329,f26,f21,f1793,f1794,f1804,f1807,f1809,f1799,f1810,f1847,f31,f1539,f1541,f1281,f2140,f2141,f2150,f2153,f2155,f2146,f2156,f1530,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f2496,f2490,f2455,f2477,f2446,f16,f11]) ).

fof(f2616,plain,
    ( ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2615]) ).

fof(f2615,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f9,f13,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1174,f1185,f1183,f1173,f1212,f1202,f1223,f1225,f1277,f1283,f1285,f1286,f1288,f1287,f1290,f1289,f1291,f1292,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1514,f1515,f1536,f1538,f1523,f1542,f19,f1329,f26,f21,f1793,f1794,f1804,f1807,f1809,f1799,f1810,f1847,f31,f1539,f1541,f1281,f2140,f2141,f2150,f2153,f2155,f2146,f2156,f1530,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f2496,f2490,f2455,f2477,f2446,f11,f16]) ).

fof(f2614,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_16
    | spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2613]) ).

fof(f2613,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_16
    | spl0_18 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f29,f30,f172,f174,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f439,f425,f312,f17,f479,f483,f484,f485,f486,f487,f488,f490,f491,f492,f493,f494,f495,f496,f497,f498,f499,f500,f501,f502,f480,f481,f506,f508,f482,f511,f503,f515,f489,f509,f537,f538,f512,f539,f540,f322,f541,f543,f504,f548,f549,f513,f550,f552,f505,f554,f556,f558,f561,f566,f568,f569,f573,f582,f578,f589,f596,f607,f610,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f9,f13,f10,f1159,f25,f1160,f27,f1161,f12,f1162,f28,f24,f38,f1167,f1168,f184,f1171,f1172,f1170,f1182,f1174,f1185,f1180,f1183,f1169,f1209,f1173,f1212,f1199,f1221,f1202,f1223,f1225,f1201,f1234,f1235,f1237,f1238,f1229,f1247,f1248,f1230,f1244,f1231,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1219,f1502,f1505,f19,f1657,f26,f21,f611,f603,f31,f1330,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f2496,f2495,f2490,f2487,f2455,f2454,f2477,f2474,f2446,f2445,f2550,f2558,f2561,f2568,f2576,f2592,f2595,f11,f16,f567,f583,f581,f612,f41]) ).

fof(f41,plain,
    ( sk_c7 != inverse(sk_c1)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f40]) ).

fof(f612,plain,
    ( identity = sk_c4
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f600,f2]) ).

fof(f600,plain,
    ( sk_c4 = multiply(inverse(identity),identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f513,f583]) ).

fof(f581,plain,
    ( identity = sk_c3
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f572,f2]) ).

fof(f572,plain,
    ( sk_c3 = multiply(inverse(identity),identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f322,f567]) ).

fof(f583,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f575,f1]) ).

fof(f575,plain,
    ( sk_c6 = multiply(identity,identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f509,f567]) ).

fof(f567,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f565,f2]) ).

fof(f565,plain,
    ( sk_c7 = multiply(inverse(sk_c5),sk_c5)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f60,f561]) ).

fof(f2595,plain,
    ( identity = multiply(sk_c6,sk_c7)
    | sk_c7 = inverse(sk_c1)
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f14,f1330]) ).

fof(f2592,plain,
    ( sk_c6 = multiply(sk_c4,identity)
    | sk_c7 = inverse(sk_c1)
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f18,f1330]) ).

fof(f2576,plain,
    ( identity != sk_c7
    | ~ spl0_16
    | spl0_18 ),
    inference(forward_demodulation,[],[f1657,f1330]) ).

fof(f2568,plain,
    ( sk_c7 = sk_c6
    | sk_c6 = multiply(sk_c4,identity)
    | ~ spl0_1
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f2567,f1244]) ).

fof(f2567,plain,
    ( sk_c6 = multiply(sk_c7,identity)
    | sk_c6 = multiply(sk_c4,identity)
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f2566,f1330]) ).

fof(f2566,plain,
    ( sk_c6 = multiply(sk_c4,identity)
    | sk_c6 = multiply(sk_c7,sk_c5)
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f23,f1330]) ).

fof(f2561,plain,
    ( sk_c6 = sk_c4
    | sk_c6 = multiply(sk_c1,sk_c7)
    | ~ spl0_5
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f2560,f1294]) ).

fof(f2560,plain,
    ( sk_c6 = multiply(sk_c4,identity)
    | sk_c6 = multiply(sk_c1,sk_c7)
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f13,f1330]) ).

fof(f2558,plain,
    ( identity = multiply(sk_c6,sk_c7)
    | sk_c6 = multiply(sk_c1,sk_c7)
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f9,f1330]) ).

fof(f2550,plain,
    ( sk_c7 = sk_c6
    | identity = multiply(sk_c6,sk_c7)
    | ~ spl0_1
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f2549,f1244]) ).

fof(f2549,plain,
    ( sk_c6 = multiply(sk_c7,identity)
    | identity = multiply(sk_c6,sk_c7)
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f2548,f1330]) ).

fof(f2548,plain,
    ( identity = multiply(sk_c6,sk_c7)
    | sk_c6 = multiply(sk_c7,sk_c5)
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f19,f1330]) ).

fof(f2445,plain,
    ( sk_c3 = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f2427,f1180]) ).

fof(f2474,plain,
    ( sk_c3 = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f2449,f1230]) ).

fof(f2449,plain,
    ( inverse(sk_c7) = multiply(sk_c3,identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f2427,f1201]) ).

fof(f2454,plain,
    ( sk_c3 = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f1180,f2427]) ).

fof(f2487,plain,
    ( sk_c3 = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f2458,f1230]) ).

fof(f2458,plain,
    ( inverse(sk_c7) = multiply(sk_c3,identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f1201,f2427]) ).

fof(f2495,plain,
    ( sk_c3 = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f2444,f38]) ).

fof(f1330,plain,
    ( identity = sk_c5
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f1328]) ).

fof(f603,plain,
    ( identity = sk_c5
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f602,f567]) ).

fof(f602,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f594,f1]) ).

fof(f594,plain,
    ( sk_c5 = multiply(identity,sk_c7)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f480,f583]) ).

fof(f611,plain,
    ( identity = sk_c5
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f599,f1]) ).

fof(f599,plain,
    ( sk_c5 = multiply(identity,identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f512,f583]) ).

fof(f1657,plain,
    ( sk_c7 != sk_c5
    | spl0_18 ),
    inference(avatar_component_clause,[],[f1655]) ).

fof(f1505,plain,
    ( sk_c7 = sk_c6
    | sk_c7 = multiply(sk_c3,sk_c6)
    | ~ spl0_1
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1504,f1244]) ).

fof(f1504,plain,
    ( sk_c6 = multiply(sk_c7,identity)
    | sk_c7 = multiply(sk_c3,sk_c6)
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f21,f1330]) ).

fof(f1502,plain,
    ( sk_c7 = sk_c6
    | identity = multiply(sk_c6,sk_c7)
    | ~ spl0_1
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1501,f1244]) ).

fof(f1501,plain,
    ( sk_c6 = multiply(sk_c7,identity)
    | identity = multiply(sk_c6,sk_c7)
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1500,f1330]) ).

fof(f1500,plain,
    ( identity = multiply(sk_c6,sk_c7)
    | sk_c6 = multiply(sk_c7,sk_c5)
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f19,f1330]) ).

fof(f1219,plain,
    ( sk_c3 = multiply(inverse(inverse(inverse(sk_c7))),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f60,f1199]) ).

fof(f1230,plain,
    ( sk_c3 = multiply(sk_c3,identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f1201,f1180]) ).

fof(f1248,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c7,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1246,f1]) ).

fof(f1246,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c3,multiply(sk_c7,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f1229]) ).

fof(f1247,plain,
    ( sk_c7 = multiply(sk_c7,identity)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1245,f38]) ).

fof(f1245,plain,
    ( sk_c7 = multiply(inverse(sk_c3),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f60,f1229]) ).

fof(f1238,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c7,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f60,f1201]) ).

fof(f1237,plain,
    ( sk_c3 = multiply(sk_c3,identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f1180,f1201]) ).

fof(f1235,plain,
    ( ! [X0] : multiply(inverse(inverse(sk_c7)),multiply(sk_c3,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f60,f1201]) ).

fof(f1234,plain,
    ( identity = multiply(sk_c3,sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f1201]) ).

fof(f1221,plain,
    ( ! [X0] : multiply(inverse(inverse(sk_c7)),multiply(sk_c3,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1220,f1]) ).

fof(f1220,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(sk_c7)),multiply(sk_c3,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f1199]) ).

fof(f1199,plain,
    ( identity = multiply(inverse(inverse(sk_c7)),sk_c3)
    | ~ spl0_1 ),
    inference(superposition,[],[f60,f1180]) ).

fof(f1209,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(sk_c7),X0)
    | ~ spl0_1 ),
    inference(superposition,[],[f60,f1169]) ).

fof(f1182,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1181,f1]) ).

fof(f1181,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c3,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f1170]) ).

fof(f1168,plain,
    ( sk_c3 = multiply(inverse(sk_c7),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f305,f38]) ).

fof(f1167,plain,
    ( identity = multiply(inverse(inverse(sk_c7)),sk_c3)
    | ~ spl0_1 ),
    inference(superposition,[],[f428,f38]) ).

fof(f1160,plain,
    ( sk_c7 = inverse(sk_c3)
    | ~ spl0_1 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f31,f29,f30,f38,f172,f174,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f439,f425,f312,f17,f322,f541,f543,f18,f16,f14,f23,f21,f19,f20,f27,f22,f12,f28,f26,f24,f4,f6,f8,f5,f7,f34,f9,f11,f13,f10,f1159,f25]) ).

fof(f1159,plain,
    ( sk_c7 = inverse(sk_c3)
    | ~ spl0_1 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f31,f29,f30,f38,f172,f174,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f439,f425,f312,f17,f322,f541,f543,f18,f16,f14,f23,f21,f19,f20,f25,f27,f22,f12,f28,f26,f24,f4,f6,f8,f5,f7,f34,f9,f11,f13,f10]) ).

fof(f610,plain,
    ( ! [X0] : multiply(sk_c5,X0) = X0
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f609,f1]) ).

fof(f609,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c5,X0)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f608,f567]) ).

fof(f608,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c5,X0)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f598,f1]) ).

fof(f598,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(identity,multiply(sk_c7,X0))
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f505,f583]) ).

fof(f607,plain,
    ( identity = multiply(identity,sk_c5)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f606,f567]) ).

fof(f606,plain,
    ( sk_c7 = multiply(identity,sk_c5)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f597,f442]) ).

fof(f597,plain,
    ( sk_c7 = multiply(inverse(identity),sk_c5)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f504,f583]) ).

fof(f596,plain,
    ( identity = multiply(identity,sk_c4)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f503,f583]) ).

fof(f589,plain,
    ( identity = multiply(identity,sk_c6)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f585,f567]) ).

fof(f585,plain,
    ( sk_c7 = multiply(identity,sk_c6)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f481,f581]) ).

fof(f578,plain,
    ( sk_c5 = multiply(sk_c5,identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f561,f567]) ).

fof(f582,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c5,X0)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f574,f1]) ).

fof(f574,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,multiply(identity,X0))
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f505,f567]) ).

fof(f573,plain,
    ( sk_c5 = multiply(sk_c6,identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f480,f567]) ).

fof(f569,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c3,X0)) = X0
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f174,f567]) ).

fof(f568,plain,
    ( identity = multiply(identity,sk_c3)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f172,f567]) ).

fof(f566,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c5,multiply(sk_c7,X0))
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f3,f561]) ).

fof(f561,plain,
    ( sk_c5 = multiply(sk_c5,sk_c7)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f555,f512]) ).

fof(f555,plain,
    ( multiply(sk_c6,sk_c6) = multiply(sk_c5,sk_c7)
    | ~ spl0_1
    | spl0_2 ),
    inference(superposition,[],[f505,f509]) ).

fof(f558,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(inverse(sk_c6),multiply(sk_c5,X0))
    | spl0_2 ),
    inference(superposition,[],[f60,f505]) ).

fof(f556,plain,
    ( multiply(sk_c6,identity) = multiply(sk_c5,sk_c3)
    | ~ spl0_1
    | spl0_2 ),
    inference(superposition,[],[f505,f172]) ).

fof(f554,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c5,multiply(sk_c3,X0))
    | ~ spl0_1
    | spl0_2 ),
    inference(superposition,[],[f505,f174]) ).

fof(f505,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,multiply(sk_c7,X0))
    | spl0_2 ),
    inference(superposition,[],[f3,f480]) ).

fof(f549,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(inverse(sk_c6),multiply(sk_c5,X0))
    | spl0_2 ),
    inference(superposition,[],[f3,f504]) ).

fof(f548,plain,
    ( sk_c5 = multiply(inverse(inverse(sk_c6)),sk_c7)
    | spl0_2 ),
    inference(superposition,[],[f60,f504]) ).

fof(f504,plain,
    ( sk_c7 = multiply(inverse(sk_c6),sk_c5)
    | spl0_2 ),
    inference(superposition,[],[f60,f480]) ).

fof(f543,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(sk_c7),X0)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f542,f1]) ).

fof(f542,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(sk_c7),multiply(identity,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f322]) ).

fof(f541,plain,
    ( identity = multiply(inverse(inverse(sk_c7)),sk_c3)
    | ~ spl0_1 ),
    inference(superposition,[],[f60,f322]) ).

fof(f540,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,multiply(sk_c6,X0))
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f3,f512]) ).

fof(f539,plain,
    ( sk_c6 = multiply(inverse(sk_c6),sk_c5)
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f60,f512]) ).

fof(f512,plain,
    ( sk_c5 = multiply(sk_c6,sk_c6)
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f510,f184]) ).

fof(f510,plain,
    ( sk_c5 = multiply(inverse(sk_c4),sk_c6)
    | spl0_2 ),
    inference(superposition,[],[f60,f482]) ).

fof(f538,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c7,X0))
    | ~ spl0_1
    | spl0_2 ),
    inference(superposition,[],[f3,f509]) ).

fof(f537,plain,
    ( sk_c7 = multiply(inverse(sk_c7),sk_c6)
    | ~ spl0_1
    | spl0_2 ),
    inference(superposition,[],[f60,f509]) ).

fof(f509,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | spl0_2 ),
    inference(forward_demodulation,[],[f507,f38]) ).

fof(f507,plain,
    ( sk_c6 = multiply(inverse(sk_c3),sk_c7)
    | spl0_2 ),
    inference(superposition,[],[f60,f481]) ).

fof(f489,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c6 != inverse(X6)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c5 != multiply(X4,sk_c7)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c7 != multiply(X5,sk_c6)
        | multiply(sk_c7,sk_c6) != sk_c5 )
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f13,f11,f9,f8,f6,f4,f33,f31,f29,f27,f25,f22,f20,f12,f10,f7,f5,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f41,f17,f479,f14,f480,f16,f481,f18,f482,f19,f483,f21,f484,f23,f485,f24,f486,f26,f487,f28,f488,f34]) ).

fof(f511,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c4,multiply(sk_c5,X0))
    | spl0_2 ),
    inference(superposition,[],[f3,f482]) ).

fof(f482,plain,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f34,f13,f11,f9,f8,f6,f4,f33,f31,f29,f27,f25,f22,f20,f12,f10,f7,f5,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f28,f26,f24,f23,f21,f19,f41,f17,f479,f14,f480,f16,f481,f18]) ).

fof(f508,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c6,X0))
    | spl0_2 ),
    inference(superposition,[],[f3,f481]) ).

fof(f506,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | spl0_2 ),
    inference(superposition,[],[f174,f481]) ).

fof(f481,plain,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f34,f13,f11,f9,f8,f6,f4,f33,f31,f29,f27,f25,f22,f20,f12,f10,f7,f5,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f28,f26,f24,f23,f21,f19,f18,f41,f17,f479,f14,f480,f16]) ).

fof(f480,plain,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f34,f13,f11,f9,f8,f6,f4,f33,f31,f29,f27,f25,f22,f20,f12,f10,f7,f5,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f28,f26,f24,f23,f21,f19,f18,f16,f41,f17,f479,f14]) ).

fof(f499,plain,
    ( sk_c6 = inverse(sk_c4)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f31,f29,f25,f20,f10,f5,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f41,f17,f479,f14,f480,f16,f481,f18,f482,f19,f483,f21,f484,f23,f485,f24,f486,f26,f487,f28,f488,f34,f489,f13,f490,f11,f491,f9,f492,f8,f493,f6,f494,f4,f495,f27,f496,f22,f497,f12,f498,f7]) ).

fof(f498,plain,
    ( sk_c6 = inverse(sk_c4)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f31,f29,f25,f20,f10,f7,f5,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f41,f17,f479,f14,f480,f16,f481,f18,f482,f19,f483,f21,f484,f23,f485,f24,f486,f26,f487,f28,f488,f34,f489,f13,f490,f11,f491,f9,f492,f8,f493,f6,f494,f4,f495,f27,f496,f22,f497,f12]) ).

fof(f497,plain,
    ( sk_c6 = inverse(sk_c4)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f31,f29,f25,f20,f12,f10,f7,f5,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f41,f17,f479,f14,f480,f16,f481,f18,f482,f19,f483,f21,f484,f23,f485,f24,f486,f26,f487,f28,f488,f34,f489,f13,f490,f11,f491,f9,f492,f8,f493,f6,f494,f4,f495,f27,f496,f22]) ).

fof(f496,plain,
    ( sk_c6 = inverse(sk_c4)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f31,f29,f25,f22,f20,f12,f10,f7,f5,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f41,f17,f479,f14,f480,f16,f481,f18,f482,f19,f483,f21,f484,f23,f485,f24,f486,f26,f487,f28,f488,f34,f489,f13,f490,f11,f491,f9,f492,f8,f493,f6,f494,f4,f495,f27]) ).

fof(f495,plain,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f31,f29,f27,f25,f22,f20,f12,f10,f7,f5,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f41,f17,f479,f14,f480,f16,f481,f18,f482,f19,f483,f21,f484,f23,f485,f24,f486,f26,f487,f28,f488,f34,f489,f13,f490,f11,f491,f9,f492,f8,f493,f6,f494,f4]) ).

fof(f494,plain,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f4,f33,f31,f29,f27,f25,f22,f20,f12,f10,f7,f5,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f41,f17,f479,f14,f480,f16,f481,f18,f482,f19,f483,f21,f484,f23,f485,f24,f486,f26,f487,f28,f488,f34,f489,f13,f490,f11,f491,f9,f492,f8,f493,f6]) ).

fof(f493,plain,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f6,f4,f33,f31,f29,f27,f25,f22,f20,f12,f10,f7,f5,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f41,f17,f479,f14,f480,f16,f481,f18,f482,f19,f483,f21,f484,f23,f485,f24,f486,f26,f487,f28,f488,f34,f489,f13,f490,f11,f491,f9,f492,f8]) ).

fof(f492,plain,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f8,f6,f4,f33,f31,f29,f27,f25,f22,f20,f12,f10,f7,f5,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f41,f17,f479,f14,f480,f16,f481,f18,f482,f19,f483,f21,f484,f23,f485,f24,f486,f26,f487,f28,f488,f34,f489,f13,f490,f11,f491,f9]) ).

fof(f491,plain,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f9,f8,f6,f4,f33,f31,f29,f27,f25,f22,f20,f12,f10,f7,f5,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f41,f17,f479,f14,f480,f16,f481,f18,f482,f19,f483,f21,f484,f23,f485,f24,f486,f26,f487,f28,f488,f34,f489,f13,f490,f11]) ).

fof(f490,plain,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f11,f9,f8,f6,f4,f33,f31,f29,f27,f25,f22,f20,f12,f10,f7,f5,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f41,f17,f479,f14,f480,f16,f481,f18,f482,f19,f483,f21,f484,f23,f485,f24,f486,f26,f487,f28,f488,f34,f489,f13]) ).

fof(f488,plain,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f34,f13,f11,f9,f8,f6,f4,f33,f31,f29,f27,f25,f22,f20,f12,f10,f7,f5,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f41,f17,f479,f14,f480,f16,f481,f18,f482,f19,f483,f21,f484,f23,f485,f24,f486,f26,f487,f28]) ).

fof(f487,plain,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f34,f13,f11,f9,f8,f6,f4,f33,f31,f29,f27,f25,f22,f20,f12,f10,f7,f5,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f28,f41,f17,f479,f14,f480,f16,f481,f18,f482,f19,f483,f21,f484,f23,f485,f24,f486,f26]) ).

fof(f486,plain,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f34,f13,f11,f9,f8,f6,f4,f33,f31,f29,f27,f25,f22,f20,f12,f10,f7,f5,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f28,f26,f41,f17,f479,f14,f480,f16,f481,f18,f482,f19,f483,f21,f484,f23,f485,f24]) ).

fof(f485,plain,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f34,f13,f11,f9,f8,f6,f4,f33,f31,f29,f27,f25,f22,f20,f12,f10,f7,f5,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f28,f26,f24,f41,f17,f479,f14,f480,f16,f481,f18,f482,f19,f483,f21,f484,f23]) ).

fof(f484,plain,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f34,f13,f11,f9,f8,f6,f4,f33,f31,f29,f27,f25,f22,f20,f12,f10,f7,f5,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f28,f26,f24,f23,f41,f17,f479,f14,f480,f16,f481,f18,f482,f19,f483,f21]) ).

fof(f483,plain,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f34,f13,f11,f9,f8,f6,f4,f33,f31,f29,f27,f25,f22,f20,f12,f10,f7,f5,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f28,f26,f24,f23,f21,f41,f17,f479,f14,f480,f16,f481,f18,f482,f19]) ).

fof(f479,plain,
    ( sk_c6 = inverse(sk_c4)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f34,f13,f11,f9,f8,f6,f4,f33,f31,f29,f27,f25,f22,f20,f12,f10,f7,f5,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f28,f26,f24,f23,f21,f19,f18,f16,f14,f41,f17]) ).

fof(f312,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(sk_c7),X0)
    | ~ spl0_1 ),
    inference(superposition,[],[f60,f174]) ).

fof(f425,plain,
    ( sk_c3 = multiply(inverse(sk_c7),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f305,f38]) ).

fof(f439,plain,
    ( identity = multiply(inverse(inverse(sk_c7)),sk_c3)
    | ~ spl0_1 ),
    inference(superposition,[],[f428,f38]) ).

fof(f174,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f173,f1]) ).

fof(f173,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c3,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f172]) ).

fof(f2612,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_16
    | spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2611]) ).

fof(f2611,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_16
    | spl0_18 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f29,f30,f172,f174,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f439,f425,f312,f17,f479,f483,f484,f485,f486,f487,f488,f490,f491,f492,f493,f494,f495,f496,f497,f498,f499,f500,f501,f502,f480,f481,f506,f508,f482,f511,f503,f515,f489,f509,f537,f538,f512,f539,f540,f322,f541,f543,f504,f548,f549,f513,f550,f552,f505,f554,f556,f558,f561,f566,f568,f569,f573,f582,f578,f589,f596,f607,f610,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f9,f13,f10,f1159,f25,f1160,f27,f1161,f12,f1162,f28,f24,f38,f1167,f1168,f184,f1171,f1172,f1170,f1182,f1174,f1185,f1180,f1183,f1169,f1209,f1173,f1212,f1199,f1221,f1202,f1223,f1225,f1201,f1234,f1235,f1237,f1238,f1229,f1247,f1248,f1230,f1244,f1231,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1219,f1502,f1505,f19,f1657,f26,f21,f611,f603,f41,f31,f1330,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f2496,f2495,f2490,f2487,f2455,f2454,f2477,f2474,f2446,f2445,f2550,f2558,f2561,f2568,f2576,f2592,f2595,f11,f16,f567,f583,f581,f612]) ).

fof(f2610,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_16
    | spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2609]) ).

fof(f2609,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_16
    | spl0_18 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f29,f30,f172,f174,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f439,f425,f312,f17,f479,f483,f484,f485,f486,f487,f488,f490,f491,f492,f493,f494,f495,f496,f497,f498,f499,f500,f501,f502,f480,f481,f506,f508,f482,f511,f503,f515,f489,f509,f537,f538,f512,f539,f540,f322,f541,f543,f504,f548,f549,f513,f550,f552,f505,f554,f556,f558,f561,f566,f568,f569,f573,f582,f578,f589,f596,f607,f610,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f9,f13,f10,f1159,f25,f1160,f27,f1161,f12,f1162,f28,f24,f38,f1167,f1168,f184,f1171,f1172,f1170,f1182,f1174,f1185,f1180,f1183,f1169,f1209,f1173,f1212,f1199,f1221,f1202,f1223,f1225,f1201,f1234,f1235,f1237,f1238,f1229,f1247,f1248,f1230,f1244,f1231,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1219,f1502,f1505,f19,f1657,f26,f21,f611,f603,f612,f41,f31,f1330,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f2496,f2495,f2490,f2487,f2455,f2454,f2477,f2474,f2446,f2445,f2550,f2558,f2561,f2568,f2576,f2592,f2595,f11,f16,f567,f583,f581]) ).

fof(f2608,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_16
    | spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2607]) ).

fof(f2607,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_16
    | spl0_18 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f29,f30,f172,f174,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f439,f425,f312,f17,f479,f483,f484,f485,f486,f487,f488,f490,f491,f492,f493,f494,f495,f496,f497,f498,f499,f500,f501,f502,f480,f481,f506,f508,f482,f511,f503,f515,f489,f509,f537,f538,f512,f539,f540,f322,f541,f543,f504,f548,f549,f513,f550,f552,f505,f554,f556,f558,f561,f566,f568,f569,f573,f582,f578,f589,f596,f607,f610,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f9,f13,f10,f1159,f25,f1160,f27,f1161,f12,f1162,f28,f24,f38,f1167,f1168,f184,f1171,f1172,f1170,f1182,f1174,f1185,f1180,f1183,f1169,f1209,f1173,f1212,f1199,f1221,f1202,f1223,f1225,f1201,f1234,f1235,f1237,f1238,f1229,f1247,f1248,f1230,f1244,f1231,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1219,f1502,f1505,f19,f1657,f26,f21,f611,f581,f603,f612,f41,f31,f1330,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f2496,f2495,f2490,f2487,f2455,f2454,f2477,f2474,f2446,f2445,f2550,f2558,f2561,f2568,f2576,f2592,f2595,f11,f16,f567,f583]) ).

fof(f2606,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_16
    | spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2605]) ).

fof(f2605,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_16
    | spl0_18 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f29,f30,f172,f174,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f439,f425,f312,f17,f479,f483,f484,f485,f486,f487,f488,f490,f491,f492,f493,f494,f495,f496,f497,f498,f499,f500,f501,f502,f480,f481,f506,f508,f482,f511,f503,f515,f489,f509,f537,f538,f512,f539,f540,f322,f541,f543,f504,f548,f549,f513,f550,f552,f505,f554,f556,f558,f561,f566,f568,f569,f573,f582,f578,f589,f596,f607,f610,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f9,f13,f10,f1159,f25,f1160,f27,f1161,f12,f1162,f28,f24,f38,f1167,f1168,f184,f1171,f1172,f1170,f1182,f1174,f1185,f1180,f1183,f1169,f1209,f1173,f1212,f1199,f1221,f1202,f1223,f1225,f1201,f1234,f1235,f1237,f1238,f1229,f1247,f1248,f1230,f1244,f1231,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1219,f1502,f1505,f19,f1657,f26,f21,f611,f583,f581,f603,f612,f41,f31,f1330,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f2496,f2495,f2490,f2487,f2455,f2454,f2477,f2474,f2446,f2445,f2550,f2558,f2561,f2568,f2576,f2592,f2595,f11,f16,f567]) ).

fof(f2604,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_12
    | ~ spl0_16
    | spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2603]) ).

fof(f2603,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_12
    | ~ spl0_16
    | spl0_18 ),
    inference(global_subsumption,[],[f2602,f1,f2,f15,f3,f33,f29,f30,f172,f174,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f439,f425,f312,f17,f479,f483,f484,f485,f486,f487,f488,f490,f491,f492,f493,f494,f495,f496,f497,f498,f499,f500,f501,f502,f480,f481,f506,f508,f482,f511,f503,f515,f489,f509,f537,f538,f512,f539,f540,f322,f541,f543,f504,f548,f549,f513,f550,f552,f505,f554,f556,f558,f561,f566,f567,f568,f569,f573,f582,f578,f589,f596,f607,f610,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f9,f13,f10,f1159,f25,f1160,f27,f1161,f12,f1162,f28,f24,f38,f1167,f1168,f184,f1171,f1172,f1170,f1182,f1174,f1185,f1180,f1183,f1169,f1209,f1173,f1212,f1199,f1221,f1202,f1223,f1225,f1201,f1234,f1235,f1237,f1238,f1229,f1247,f1248,f1230,f1244,f1231,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1219,f1502,f1505,f19,f1657,f26,f21,f611,f583,f581,f603,f612,f41,f31,f1330,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f2496,f2495,f2490,f2487,f2455,f2454,f2477,f2474,f2446,f2445,f2550,f2558,f2561,f2568,f2576,f2592,f2595,f11,f16]) ).

fof(f2602,plain,
    ( ! [X6] :
        ( sk_c6 != multiply(X6,identity)
        | sk_c6 != inverse(X6) )
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f535,f1330]) ).

fof(f2601,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_16
    | spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2600]) ).

fof(f2600,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_16
    | spl0_18 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f29,f30,f172,f174,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f439,f425,f312,f17,f479,f483,f484,f485,f486,f487,f488,f490,f491,f492,f493,f494,f495,f496,f497,f498,f499,f500,f501,f502,f480,f481,f506,f508,f482,f511,f503,f515,f489,f509,f537,f538,f512,f539,f540,f322,f541,f543,f504,f548,f549,f513,f550,f552,f505,f554,f556,f558,f561,f566,f567,f568,f569,f573,f582,f578,f589,f596,f607,f610,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f9,f13,f10,f1159,f25,f1160,f27,f1161,f12,f1162,f28,f24,f38,f1167,f1168,f184,f1171,f1172,f1170,f1182,f1174,f1185,f1180,f1183,f1169,f1209,f1173,f1212,f1199,f1221,f1202,f1223,f1225,f1201,f1234,f1235,f1237,f1238,f1229,f1247,f1248,f1230,f1244,f1231,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1219,f1502,f1505,f19,f1657,f26,f21,f611,f583,f581,f603,f612,f41,f31,f1330,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f2496,f2495,f2490,f2487,f2455,f2454,f2477,f2474,f2446,f2445,f2550,f2558,f2561,f2568,f2576,f2592,f2595,f11,f16]) ).

fof(f2599,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_16
    | spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2598]) ).

fof(f2598,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_16
    | spl0_18 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f29,f30,f172,f174,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f439,f425,f312,f17,f479,f483,f484,f485,f486,f487,f488,f490,f491,f492,f493,f494,f495,f496,f497,f498,f499,f500,f501,f502,f480,f481,f506,f508,f482,f511,f503,f515,f489,f509,f537,f538,f512,f539,f540,f322,f541,f543,f504,f548,f549,f513,f550,f552,f505,f554,f556,f558,f561,f566,f567,f568,f569,f573,f582,f578,f589,f596,f607,f610,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f9,f13,f10,f1159,f25,f1160,f27,f1161,f12,f1162,f28,f24,f38,f1167,f1168,f184,f1171,f1172,f1170,f1182,f1174,f1185,f1180,f1183,f1169,f1209,f1173,f1212,f1199,f1221,f1202,f1223,f1225,f1201,f1234,f1235,f1237,f1238,f1229,f1247,f1248,f1230,f1244,f1231,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1219,f1502,f1505,f19,f1657,f26,f21,f611,f583,f581,f603,f612,f41,f31,f16,f1330,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f2496,f2495,f2490,f2487,f2455,f2454,f2477,f2474,f2446,f2445,f2550,f2558,f2561,f2568,f2576,f2592,f2595,f11]) ).

fof(f2597,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_16
    | spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2596]) ).

fof(f2596,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_16
    | spl0_18 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f29,f30,f172,f174,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f439,f425,f312,f17,f479,f483,f484,f485,f486,f487,f488,f490,f491,f492,f493,f494,f495,f496,f497,f498,f499,f500,f501,f502,f480,f481,f506,f508,f482,f511,f503,f515,f489,f509,f537,f538,f512,f539,f540,f322,f541,f543,f504,f548,f549,f513,f550,f552,f505,f554,f556,f558,f561,f566,f567,f568,f569,f573,f582,f578,f589,f596,f607,f610,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f9,f13,f10,f1159,f25,f1160,f27,f1161,f12,f1162,f28,f24,f38,f1167,f1168,f184,f1171,f1172,f1170,f1182,f1174,f1185,f1180,f1183,f1169,f1209,f1173,f1212,f1199,f1221,f1202,f1223,f1225,f1201,f1234,f1235,f1237,f1238,f1229,f1247,f1248,f1230,f1244,f1231,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1219,f1502,f1505,f19,f1657,f26,f21,f611,f583,f581,f603,f612,f41,f31,f16,f1330,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f2496,f2495,f2490,f2487,f2455,f2454,f2477,f2474,f2446,f2445,f11,f2550,f2558,f2561,f2568,f2576,f2592,f2595]) ).

fof(f2594,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_16
    | spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2593]) ).

fof(f2593,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_16
    | spl0_18 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f29,f30,f172,f174,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f439,f425,f312,f17,f479,f483,f484,f485,f486,f487,f488,f490,f491,f492,f493,f494,f495,f496,f497,f498,f499,f500,f501,f502,f480,f481,f506,f508,f482,f511,f503,f515,f489,f509,f537,f538,f512,f539,f540,f322,f541,f543,f504,f548,f549,f513,f550,f552,f505,f554,f556,f558,f561,f566,f567,f568,f569,f573,f582,f578,f589,f596,f607,f610,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f9,f13,f10,f1159,f25,f1160,f27,f1161,f12,f1162,f28,f24,f38,f1167,f1168,f184,f1171,f1172,f1170,f1182,f1174,f1185,f1180,f1183,f1169,f1209,f1173,f1212,f1199,f1221,f1202,f1223,f1225,f1201,f1234,f1235,f1237,f1238,f1229,f1247,f1248,f1230,f1244,f1231,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1219,f1502,f1505,f19,f1657,f26,f21,f611,f583,f581,f603,f612,f41,f31,f16,f1330,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f2496,f2495,f2490,f2487,f2455,f2454,f2477,f2474,f2446,f2445,f11,f2550,f2558,f2561,f2568,f2576,f2592]) ).

fof(f2591,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | spl0_14
    | ~ spl0_16
    | spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2590]) ).

fof(f2590,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | spl0_14
    | ~ spl0_16
    | spl0_18 ),
    inference(global_subsumption,[],[f1349,f1,f2,f15,f3,f33,f29,f30,f172,f174,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f439,f425,f312,f17,f479,f483,f484,f485,f486,f487,f488,f490,f491,f492,f493,f494,f495,f496,f497,f498,f499,f500,f501,f502,f480,f481,f506,f508,f482,f511,f503,f515,f489,f509,f537,f538,f512,f539,f540,f322,f541,f543,f504,f548,f549,f513,f550,f552,f505,f554,f556,f558,f561,f566,f567,f568,f569,f573,f582,f578,f589,f596,f607,f610,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f9,f13,f10,f1159,f25,f1160,f27,f1161,f12,f1162,f28,f24,f38,f1167,f1168,f184,f1171,f1172,f1170,f1182,f1174,f1185,f1180,f1183,f1169,f1209,f1173,f1212,f1199,f1221,f1202,f1223,f1225,f1201,f1234,f1235,f1237,f1238,f1229,f1247,f1248,f1230,f1244,f1231,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1219,f1502,f1505,f19,f1657,f26,f21,f611,f583,f581,f603,f612,f41,f31,f16,f1330,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f2496,f2495,f2490,f2487,f2455,f2454,f2477,f2474,f2446,f2445,f11,f2550,f2558,f2561,f2568,f2576]) ).

fof(f1349,plain,
    ( identity != sk_c7
    | ~ spl0_1
    | ~ spl0_8
    | spl0_14
    | ~ spl0_16 ),
    inference(superposition,[],[f1280,f1338]) ).

fof(f1338,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1332,f1244]) ).

fof(f1332,plain,
    ( sk_c6 = multiply(sk_c7,identity)
    | ~ spl0_8
    | ~ spl0_16 ),
    inference(superposition,[],[f522,f1330]) ).

fof(f522,plain,
    ( sk_c6 = multiply(sk_c7,sk_c5)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f521]) ).

fof(f1280,plain,
    ( identity != sk_c6
    | spl0_14 ),
    inference(avatar_component_clause,[],[f1279]) ).

fof(f2589,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_14
    | ~ spl0_16
    | spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2588]) ).

fof(f2588,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_14
    | ~ spl0_16
    | spl0_18 ),
    inference(global_subsumption,[],[f1280,f1,f2,f15,f3,f33,f29,f30,f172,f174,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f439,f425,f312,f17,f479,f483,f484,f485,f486,f487,f488,f490,f491,f492,f493,f494,f495,f496,f497,f498,f499,f500,f501,f502,f480,f481,f506,f508,f482,f511,f503,f515,f489,f509,f537,f538,f512,f539,f540,f322,f541,f543,f504,f548,f549,f513,f550,f552,f505,f554,f556,f558,f561,f566,f567,f568,f569,f573,f582,f578,f589,f596,f607,f610,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f9,f13,f10,f1159,f25,f1160,f27,f1161,f12,f1162,f28,f24,f38,f1167,f1168,f184,f1171,f1172,f1170,f1182,f1174,f1185,f1180,f1183,f1169,f1209,f1173,f1212,f1199,f1221,f1202,f1223,f1225,f1201,f1234,f1235,f1237,f1238,f1229,f1247,f1248,f1230,f1244,f1231,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1219,f1502,f1505,f19,f1657,f26,f21,f611,f583,f581,f603,f612,f41,f31,f16,f1330,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f2496,f2495,f2490,f2487,f2455,f2454,f2477,f2474,f2446,f2445,f11,f2550,f2558,f2561,f2568,f2576]) ).

fof(f2587,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_13
    | spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2586]) ).

fof(f2586,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_13
    | spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | spl0_18 ),
    inference(global_subsumption,[],[f1,f2,f15,f44,f3,f63,f33,f29,f30,f172,f174,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f439,f425,f312,f17,f500,f501,f502,f503,f515,f322,f541,f543,f513,f550,f552,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f9,f13,f10,f1159,f25,f1160,f27,f1161,f12,f1162,f28,f24,f636,f635,f637,f638,f1166,f38,f1167,f1168,f184,f1171,f1172,f1179,f1170,f1182,f1174,f1185,f1180,f1183,f1207,f1208,f1169,f1209,f1173,f1212,f1199,f1221,f1222,f1202,f1223,f1225,f1201,f1234,f1235,f1237,f1238,f1229,f1247,f1248,f1230,f1244,f1231,f1261,f1277,f1283,f1285,f1286,f1288,f1287,f1290,f1289,f1291,f1292,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1219,f1337,f1502,f1503,f1505,f1488,f1543,f1550,f1554,f1559,f1561,f1563,f1567,f1577,f1595,f1552,f1598,f1613,f1614,f1624,f19,f1635,f1326,f1642,f1643,f1641,f1648,f1657,f1661,f1665,f1683,f1669,f1670,f1672,f1674,f1668,f1717,f26,f21,f1721,f1723,f1472,f31,f16,f2051,f1330,f42,f2163,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f2497,f2496,f2495,f2490,f2487,f2455,f2454,f2477,f2474,f2446,f2445,f2441,f2526,f2165,f11,f2527,f1671,f1662,f1578,f1565,f1562,f1549,f1555,f1558,f2166,f1336,f1491,f1560,f1682,f1645,f1644,f1553,f2167,f639,f1990,f1611,f2537,f2539,f2541,f2542,f2543,f2544,f2550,f2551,f2558,f2559,f2561,f2562,f2568,f2569,f2576,f1667,f1708,f1280]) ).

fof(f1708,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_13
    | spl0_14
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1707,f1229]) ).

fof(f1707,plain,
    ( sk_c7 = multiply(sk_c3,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_13
    | spl0_14
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1706,f1644]) ).

fof(f1706,plain,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_14 ),
    inference(subsumption_resolution,[],[f1472,f1280]) ).

fof(f1667,plain,
    ( identity != sk_c7
    | ~ spl0_5
    | ~ spl0_13
    | spl0_14
    | ~ spl0_15 ),
    inference(superposition,[],[f1280,f1644]) ).

fof(f2569,plain,
    ( sk_c6 = multiply(sk_c4,identity)
    | ~ spl0_1
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f2568,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f9,f13,f10,f25,f27,f12,f28,f24,f1277,f1285,f1559,f19,f26,f21,f31,f16,f1330,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f11,f1336,f2537,f2558]) ).

fof(f2562,plain,
    ( sk_c6 = sk_c4
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f9,f13,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1174,f1185,f1183,f1173,f1212,f1202,f1223,f1225,f1277,f1283,f1285,f1286,f1288,f1287,f1290,f1289,f1291,f1292,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1337,f1554,f1559,f1561,f1563,f1567,f1577,f1595,f19,f26,f21,f31,f16,f1330,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f2496,f2490,f2455,f2477,f2446,f11,f1578,f1565,f1562,f1555,f1558,f1336,f1560,f1553,f2537,f2539,f2558,f2561]) ).

fof(f2559,plain,
    ( identity = multiply(sk_c6,sk_c7)
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f9,f13,f10,f25,f27,f12,f28,f24,f1550,f1552,f19,f1326,f1642,f1643,f26,f21,f31,f16,f1330,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f11,f1491,f2543,f2558]) ).

fof(f2551,plain,
    ( identity = multiply(sk_c6,sk_c7)
    | ~ spl0_1
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f2550,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f9,f13,f10,f25,f27,f12,f28,f24,f1550,f1552,f19,f1326,f1642,f1643,f26,f21,f31,f16,f1330,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f11,f1491,f2543]) ).

fof(f2544,plain,
    ( sk_c7 = multiply(sk_c4,identity)
    | ~ spl0_5
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1641,f1330]) ).

fof(f2543,plain,
    ( identity = multiply(sk_c6,sk_c7)
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1326,f1330]) ).

fof(f2542,plain,
    ( identity = multiply(sk_c7,sk_c7)
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1674,f1330]) ).

fof(f2541,plain,
    ( identity = multiply(sk_c7,sk_c7)
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1668,f1330]) ).

fof(f2539,plain,
    ( identity = multiply(sk_c6,sk_c6)
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1286,f1330]) ).

fof(f2537,plain,
    ( sk_c6 = multiply(sk_c4,identity)
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1277,f1330]) ).

fof(f1611,plain,
    ( sk_c6 = sk_c3
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1601,f1305]) ).

fof(f1601,plain,
    ( sk_c3 = multiply(sk_c6,identity)
    | ~ spl0_1
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(superposition,[],[f1552,f1170]) ).

fof(f1990,plain,
    ( sk_c6 = sk_c3
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1601,f1305]) ).

fof(f1553,plain,
    ( sk_c6 = sk_c4
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(superposition,[],[f1336,f1294]) ).

fof(f1560,plain,
    ( sk_c6 = inverse(sk_c6)
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(superposition,[],[f184,f1553]) ).

fof(f1491,plain,
    ( identity = multiply(sk_c6,sk_c7)
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1326,f1330]) ).

fof(f1336,plain,
    ( sk_c6 = multiply(sk_c4,identity)
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(superposition,[],[f1277,f1330]) ).

fof(f2166,plain,
    ( identity = multiply(sk_c7,sk_c1)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f42]) ).

fof(f1558,plain,
    ( identity = multiply(sk_c6,sk_c6)
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1556,f184]) ).

fof(f1556,plain,
    ( identity = multiply(inverse(sk_c4),sk_c6)
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(superposition,[],[f60,f1336]) ).

fof(f1555,plain,
    ( identity = multiply(sk_c6,sk_c6)
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(superposition,[],[f1173,f1336]) ).

fof(f1549,plain,
    ( sk_c7 = multiply(sk_c4,identity)
    | ~ spl0_5
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(superposition,[],[f1295,f1491]) ).

fof(f1562,plain,
    ( identity = multiply(sk_c6,sk_c6)
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(superposition,[],[f1174,f1553]) ).

fof(f1565,plain,
    ( identity = multiply(sk_c6,sk_c6)
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(superposition,[],[f1293,f1553]) ).

fof(f1578,plain,
    ( identity = multiply(sk_c6,sk_c6)
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(superposition,[],[f2,f1560]) ).

fof(f1671,plain,
    ( identity = multiply(sk_c4,sk_c7)
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(superposition,[],[f1293,f1644]) ).

fof(f2527,plain,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_14 ),
    inference(global_subsumption,[],[f1,f2,f15,f44,f3,f63,f33,f29,f30,f172,f174,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f439,f425,f312,f17,f322,f541,f543,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f9,f13,f10,f1159,f25,f1160,f27,f12,f28,f24,f636,f635,f637,f638,f1166,f38,f1167,f1168,f1179,f1170,f1182,f1180,f1207,f1208,f1169,f1209,f1199,f1221,f1222,f1201,f1234,f1235,f1237,f1238,f1229,f1247,f1248,f1230,f1244,f1231,f1261,f1219,f19,f1635,f26,f21,f1472,f1280,f31,f16,f2051,f639,f42,f2163,f2167,f2166,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f2497,f2495,f2487,f2454,f2474,f2445,f2441,f2526,f2165,f11]) ).

fof(f2165,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c1,X0)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f60,f42]) ).

fof(f2526,plain,
    ( identity = multiply(sk_c7,sk_c1)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2163,f2444]) ).

fof(f2441,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c3,X0)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2424,f1201]) ).

fof(f2424,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c7),X0)
    | ~ spl0_2 ),
    inference(superposition,[],[f315,f42]) ).

fof(f2163,plain,
    ( identity = multiply(inverse(inverse(sk_c7)),sk_c1)
    | ~ spl0_2 ),
    inference(superposition,[],[f428,f42]) ).

fof(f2051,plain,
    ( sk_c7 = inverse(sk_c1)
    | ~ spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f15,f44,f3,f63,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f42,f23,f20,f22,f4,f6,f8,f5,f7,f34,f9,f13,f10,f25,f27,f12,f28,f24,f636,f635,f637,f638,f19,f26,f21,f11,f31,f16]) ).

fof(f1672,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c7,X0)) = X0
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(superposition,[],[f1295,f1644]) ).

fof(f1670,plain,
    ( sk_c5 = multiply(inverse(inverse(sk_c7)),sk_c7)
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(superposition,[],[f1289,f1644]) ).

fof(f1669,plain,
    ( sk_c7 = multiply(inverse(sk_c7),sk_c5)
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(superposition,[],[f1287,f1644]) ).

fof(f1683,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(sk_c4,X0)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1666,f1201]) ).

fof(f1666,plain,
    ( ! [X0] : multiply(inverse(sk_c7),X0) = multiply(sk_c4,X0)
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(superposition,[],[f1204,f1644]) ).

fof(f1665,plain,
    ( identity = multiply(inverse(inverse(sk_c7)),sk_c4)
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(superposition,[],[f1202,f1644]) ).

fof(f1661,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c4,X0)) = X0
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(superposition,[],[f1173,f1644]) ).

fof(f1635,plain,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_14 ),
    inference(subsumption_resolution,[],[f1459,f1280]) ).

fof(f1459,plain,
    ( identity = sk_c6
    | sk_c5 = multiply(sk_c6,sk_c7)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1207,f1229]) ).

fof(f1624,plain,
    ( identity = multiply(sk_c6,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_14
    | ~ spl0_16 ),
    inference(subsumption_resolution,[],[f1488,f1280]) ).

fof(f1614,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c6,X0)
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1604,f1560]) ).

fof(f1604,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(inverse(sk_c6),X0)
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(superposition,[],[f60,f1552]) ).

fof(f1613,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c6,X0)
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1603,f1553]) ).

fof(f1603,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c4,X0)
    | ~ spl0_5
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(superposition,[],[f1295,f1552]) ).

fof(f1598,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c3,X0)
    | ~ spl0_1
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(superposition,[],[f1552,f1169]) ).

fof(f1552,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = X0
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1551,f1]) ).

fof(f1551,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c7,X0))
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(superposition,[],[f3,f1491]) ).

fof(f1595,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c6,X0)) = X0
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1593,f1]) ).

fof(f1593,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c6,X0))
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(superposition,[],[f3,f1558]) ).

fof(f1577,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c6,X0)) = X0
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(superposition,[],[f60,f1560]) ).

fof(f1567,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c6,X0)) = X0
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(superposition,[],[f1295,f1553]) ).

fof(f1563,plain,
    ( identity = multiply(inverse(inverse(sk_c6)),sk_c6)
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(superposition,[],[f1202,f1553]) ).

fof(f1561,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c6,X0)) = X0
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(superposition,[],[f1173,f1553]) ).

fof(f1559,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c4,X0)
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1557,f1]) ).

fof(f1557,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c4,multiply(identity,X0))
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(superposition,[],[f3,f1336]) ).

fof(f1554,plain,
    ( sk_c6 = sk_c4
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(superposition,[],[f1294,f1336]) ).

fof(f1550,plain,
    ( sk_c7 = multiply(inverse(sk_c6),identity)
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(superposition,[],[f60,f1491]) ).

fof(f1543,plain,
    ( identity = multiply(sk_c6,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f1488,f1,f2,f15,f3,f33,f31,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f16,f14,f23,f21,f19,f20,f22,f4,f6,f8,f5,f7,f34,f9,f11,f13,f10,f25,f27,f12,f28,f26,f24,f1330,f1491]) ).

fof(f1488,plain,
    ( identity = multiply(sk_c6,sk_c7)
    | identity = sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1459,f1330]) ).

fof(f1503,plain,
    ( identity = multiply(sk_c6,sk_c7)
    | ~ spl0_1
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f1502,f1,f2,f15,f3,f33,f31,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f16,f14,f23,f21,f19,f20,f22,f4,f6,f8,f5,f7,f34,f9,f11,f13,f10,f25,f27,f12,f28,f26,f24,f1330,f1491]) ).

fof(f1337,plain,
    ( sk_c6 = multiply(inverse(sk_c6),identity)
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(superposition,[],[f1287,f1330]) ).

fof(f1261,plain,
    ( identity = sk_c6
    | sk_c6 = multiply(sk_c4,sk_c5)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1260,f1229]) ).

fof(f1260,plain,
    ( sk_c6 = multiply(sk_c3,sk_c7)
    | sk_c6 = multiply(sk_c4,sk_c5)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f13,f639]) ).

fof(f1208,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f637,f639]) ).

fof(f1207,plain,
    ( sk_c6 = multiply(sk_c3,sk_c7)
    | sk_c5 = multiply(sk_c6,sk_c7)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f9,f639]) ).

fof(f1179,plain,
    ( identity = multiply(sk_c7,sk_c3)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f638,f639]) ).

fof(f1166,plain,
    ( sk_c7 = inverse(sk_c3)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f42,f639]) ).

fof(f638,plain,
    ( identity = multiply(sk_c7,sk_c1)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f42]) ).

fof(f637,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c1,X0)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f60,f42]) ).

fof(f635,plain,
    ( identity = multiply(inverse(inverse(sk_c7)),sk_c1)
    | ~ spl0_2 ),
    inference(superposition,[],[f428,f42]) ).

fof(f63,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c1,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f58,f1]) ).

fof(f58,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c1,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f44]) ).

fof(f44,plain,
    ( identity = multiply(sk_c7,sk_c1)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f42]) ).

fof(f2585,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_13
    | spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2584]) ).

fof(f2584,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_13
    | spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | spl0_18 ),
    inference(global_subsumption,[],[f1349,f1,f2,f15,f44,f3,f63,f33,f29,f30,f172,f174,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f439,f425,f312,f17,f500,f501,f502,f503,f515,f322,f541,f543,f513,f550,f552,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f9,f13,f10,f1159,f25,f1160,f27,f1161,f12,f1162,f28,f24,f636,f635,f637,f638,f1166,f38,f1167,f1168,f184,f1171,f1172,f1179,f1170,f1182,f1174,f1185,f1180,f1183,f1207,f1208,f1169,f1209,f1173,f1212,f1199,f1221,f1222,f1202,f1223,f1225,f1201,f1234,f1235,f1237,f1238,f1229,f1247,f1248,f1230,f1244,f1231,f1261,f1277,f1283,f1285,f1286,f1288,f1287,f1290,f1289,f1291,f1292,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1219,f1337,f1502,f1503,f1505,f1488,f1543,f1550,f1554,f1559,f1561,f1563,f1567,f1577,f1595,f1552,f1598,f1613,f1614,f1624,f19,f1635,f1326,f1642,f1643,f1641,f1648,f1657,f1661,f1665,f1683,f1669,f1670,f1672,f1674,f1668,f1717,f26,f21,f1721,f1723,f1472,f1280,f31,f16,f2051,f1330,f42,f2163,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f2497,f2496,f2495,f2490,f2487,f2455,f2454,f2477,f2474,f2446,f2445,f2441,f2526,f2165,f11,f2527,f1671,f1662,f1578,f1565,f1562,f1549,f1555,f1558,f2166,f1336,f1491,f1560,f1682,f1645,f1644,f1553,f2167,f639,f1990,f1611,f2537,f2539,f2541,f2542,f2543,f2544,f2550,f2551,f2558,f2559,f2561,f2562,f2568,f2569,f2576,f1667,f1708]) ).

fof(f2583,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_13
    | spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2582]) ).

fof(f2582,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_13
    | spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | spl0_18 ),
    inference(global_subsumption,[],[f1475,f1,f2,f15,f44,f3,f63,f33,f29,f30,f172,f174,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f439,f425,f312,f17,f500,f501,f502,f503,f515,f322,f541,f543,f513,f550,f552,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f9,f13,f10,f1159,f25,f1160,f27,f1161,f12,f1162,f28,f24,f636,f635,f637,f638,f1166,f38,f1167,f1168,f184,f1171,f1172,f1179,f1170,f1182,f1174,f1185,f1180,f1183,f1207,f1208,f1169,f1209,f1173,f1212,f1199,f1221,f1222,f1202,f1223,f1225,f1201,f1234,f1235,f1237,f1238,f1229,f1247,f1248,f1230,f1244,f1231,f1261,f1277,f1283,f1285,f1286,f1288,f1287,f1290,f1289,f1291,f1292,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1219,f1337,f1502,f1503,f1505,f1488,f1543,f1550,f1554,f1559,f1561,f1563,f1567,f1577,f1595,f1552,f1598,f1613,f1614,f1624,f19,f1635,f1326,f1642,f1643,f1641,f1648,f1657,f1661,f1665,f1683,f1669,f1670,f1672,f1674,f1668,f1717,f26,f21,f1721,f1723,f1472,f1280,f31,f16,f2051,f1330,f42,f2163,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f2497,f2496,f2495,f2490,f2487,f2455,f2454,f2477,f2474,f2446,f2445,f2441,f2526,f2165,f11,f2527,f1671,f1662,f1578,f1565,f1562,f1549,f1555,f1558,f2166,f1336,f1491,f1560,f1682,f1645,f1644,f1553,f2167,f639,f1990,f1611,f2537,f2539,f2541,f2542,f2543,f2544,f2550,f2551,f2558,f2559,f2561,f2562,f2568,f2569,f2576,f1667,f1708]) ).

fof(f1475,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_14
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1474,f1229]) ).

fof(f1474,plain,
    ( sk_c7 = multiply(sk_c3,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_14
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1473,f1338]) ).

fof(f1473,plain,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_14 ),
    inference(subsumption_resolution,[],[f1472,f1280]) ).

fof(f2581,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_13
    | spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2580]) ).

fof(f2580,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_13
    | spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | spl0_18 ),
    inference(global_subsumption,[],[f2579,f1,f2,f15,f44,f3,f63,f33,f29,f30,f172,f174,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f439,f425,f312,f17,f500,f501,f502,f503,f515,f322,f541,f543,f513,f550,f552,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f9,f13,f10,f1159,f25,f1160,f27,f1161,f12,f1162,f28,f24,f636,f635,f637,f638,f1166,f38,f1167,f1168,f184,f1171,f1172,f1179,f1170,f1182,f1174,f1185,f1180,f1183,f1207,f1208,f1169,f1209,f1173,f1212,f1199,f1221,f1222,f1202,f1223,f1225,f1201,f1234,f1235,f1237,f1238,f1229,f1247,f1248,f1230,f1244,f1231,f1261,f1277,f1283,f1285,f1286,f1288,f1287,f1290,f1289,f1291,f1292,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1219,f1337,f1502,f1503,f1505,f1488,f1543,f1550,f1554,f1559,f1561,f1563,f1567,f1577,f1595,f1552,f1598,f1613,f1614,f1624,f19,f1635,f1326,f1642,f1643,f1641,f1648,f1657,f1661,f1665,f1683,f1669,f1670,f1672,f1674,f1668,f1717,f26,f21,f1721,f1723,f1472,f1280,f31,f16,f2051,f1330,f42,f2163,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f2497,f2496,f2495,f2490,f2487,f2455,f2454,f2477,f2474,f2446,f2445,f2441,f2526,f2165,f11,f2527,f1671,f1662,f1578,f1565,f1562,f1549,f1555,f1558,f2166,f1336,f1491,f1560,f1682,f1645,f1644,f1553,f2167,f639,f1990,f1611,f2537,f2539,f2541,f2542,f2543,f2544,f2550,f2551,f2558,f2559,f2561,f2562,f2568,f2569,f2576,f1667,f1708]) ).

fof(f2579,plain,
    ( identity = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_14
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1461,f1330]) ).

fof(f1461,plain,
    ( sk_c5 = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_14
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1460,f1338]) ).

fof(f1460,plain,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_14 ),
    inference(subsumption_resolution,[],[f1459,f1280]) ).

fof(f2578,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_13
    | spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2577]) ).

fof(f2577,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_13
    | spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | spl0_18 ),
    inference(global_subsumption,[],[f1,f2,f15,f44,f3,f63,f33,f29,f30,f172,f174,f32,f60,f308,f305,f437,f428,f443,f453,f445,f442,f439,f425,f312,f17,f500,f501,f502,f503,f515,f322,f541,f543,f513,f550,f552,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f9,f13,f10,f1159,f25,f1160,f27,f1161,f12,f1162,f28,f24,f636,f635,f637,f638,f1166,f38,f1167,f1168,f184,f1171,f1172,f1179,f1170,f1182,f1174,f1185,f1180,f1183,f1207,f1208,f1169,f1209,f1173,f1212,f1199,f1221,f1222,f1202,f1223,f1225,f1201,f1234,f1235,f1237,f1238,f1229,f1247,f1248,f1230,f1244,f1231,f1261,f1277,f1283,f1285,f1286,f1288,f1287,f1290,f1289,f1291,f1292,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1219,f1337,f1502,f1503,f1505,f1488,f1543,f1550,f1554,f1559,f1561,f1563,f1567,f1577,f1595,f1552,f1598,f1613,f1614,f1624,f19,f1635,f1326,f1642,f1643,f1641,f1648,f1657,f1661,f1665,f1683,f1669,f1670,f1672,f1674,f1668,f1717,f26,f21,f1721,f1723,f1472,f1280,f31,f16,f2051,f1330,f42,f2163,f315,f2426,f2428,f2433,f2434,f2436,f2437,f2427,f2480,f2453,f2493,f2444,f2506,f2507,f2497,f2496,f2495,f2490,f2487,f2455,f2454,f2477,f2474,f2446,f2445,f2441,f2526,f2165,f11,f2527,f1671,f1662,f1578,f1565,f1562,f1549,f1555,f1558,f2166,f1336,f1491,f1560,f1682,f1645,f1644,f1553,f2167,f639,f1990,f1611,f2537,f2539,f2541,f2542,f2543,f2544,f2550,f2551,f2558,f2559,f2561,f2562,f2568,f2569,f2576,f1667,f1708]) ).

fof(f2514,plain,
    ( spl0_6
    | spl0_6
    | spl0_6
    | spl0_6
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_14
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f2344,f1655,f1328,f1279,f517,f36,f462,f462,f462,f462]) ).

fof(f462,plain,
    ( spl0_6
  <=> ! [X4] :
        ( identity != multiply(X4,identity)
        | identity != inverse(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f2344,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(X5,identity)
        | identity != multiply(X3,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | identity != multiply(X4,identity)
        | identity != multiply(X6,identity) )
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_14
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f2343,f1527]) ).

fof(f1527,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_14
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1526,f1330]) ).

fof(f2343,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != multiply(X5,identity)
        | identity != multiply(X3,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | identity != multiply(X4,identity)
        | identity != multiply(X6,identity) )
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_14
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f2342,f1281]) ).

fof(f2342,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(X3,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | identity != multiply(X4,identity)
        | identity != multiply(X6,identity)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_14
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f2341,f1281]) ).

fof(f2341,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c6 != multiply(X3,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | identity != multiply(X4,identity)
        | identity != multiply(X6,identity)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_14
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f2340,f1527]) ).

fof(f2340,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | identity != multiply(X4,identity)
        | identity != multiply(X6,identity)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_14
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f2339,f1527]) ).

fof(f2339,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | identity != multiply(X4,identity)
        | identity != multiply(X6,identity)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_14
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f2338,f1527]) ).

fof(f2338,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != inverse(X5)
        | identity != inverse(X6)
        | identity != multiply(X4,identity)
        | identity != multiply(X6,identity)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_14
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f2337,f1527]) ).

fof(f2337,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != inverse(X6)
        | identity != multiply(X4,identity)
        | identity != multiply(X6,identity)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_14
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f2336,f1281]) ).

fof(f2336,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(X4,identity)
        | identity != multiply(X6,identity)
        | sk_c6 != inverse(X6)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_14
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(subsumption_resolution,[],[f2335,f1]) ).

fof(f2335,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(identity,identity)
        | identity != multiply(X4,identity)
        | identity != multiply(X6,identity)
        | sk_c6 != inverse(X6)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_14
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f2334,f1281]) ).

fof(f2334,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(sk_c6,identity)
        | identity != multiply(X4,identity)
        | identity != multiply(X6,identity)
        | sk_c6 != inverse(X6)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_14
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f2333,f1527]) ).

fof(f2333,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(X4,identity)
        | identity != multiply(X6,identity)
        | sk_c7 != multiply(sk_c6,sk_c7)
        | sk_c6 != inverse(X6)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_14
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f2332,f1527]) ).

fof(f2332,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(X6,identity)
        | sk_c7 != multiply(X4,sk_c7)
        | sk_c7 != multiply(sk_c6,sk_c7)
        | sk_c6 != inverse(X6)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_14
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(subsumption_resolution,[],[f2331,f1281]) ).

fof(f2331,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != sk_c6
        | identity != multiply(X6,identity)
        | sk_c7 != multiply(X4,sk_c7)
        | sk_c7 != multiply(sk_c6,sk_c7)
        | sk_c6 != inverse(X6)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_14
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f2330,f1]) ).

fof(f2330,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c6 != multiply(identity,identity)
        | identity != multiply(X6,identity)
        | sk_c7 != multiply(X4,sk_c7)
        | sk_c7 != multiply(sk_c6,sk_c7)
        | sk_c6 != inverse(X6)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_14
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f2329,f1527]) ).

fof(f2329,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(X6,identity)
        | sk_c6 != multiply(sk_c7,sk_c7)
        | sk_c7 != multiply(X4,sk_c7)
        | sk_c7 != multiply(sk_c6,sk_c7)
        | sk_c6 != inverse(X6)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_14
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f2328,f1281]) ).

fof(f2328,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c6 != multiply(X6,identity)
        | sk_c6 != multiply(sk_c7,sk_c7)
        | sk_c7 != multiply(X4,sk_c7)
        | sk_c7 != multiply(sk_c6,sk_c7)
        | sk_c6 != inverse(X6)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_14
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f2042,f1527]) ).

fof(f2042,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c6 != multiply(X6,sk_c7)
        | sk_c6 != multiply(sk_c7,sk_c7)
        | sk_c7 != multiply(X4,sk_c7)
        | sk_c7 != multiply(sk_c6,sk_c7)
        | sk_c6 != inverse(X6)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_7
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f2041,f1656]) ).

fof(f2041,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c6 != multiply(sk_c7,sk_c7)
        | sk_c7 != multiply(X4,sk_c7)
        | sk_c7 != multiply(sk_c6,sk_c7)
        | sk_c6 != inverse(X6)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_7
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f1918,f1656]) ).

fof(f1918,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != multiply(X4,sk_c7)
        | sk_c7 != multiply(sk_c6,sk_c7)
        | sk_c6 != inverse(X6)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_7
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f1917,f1656]) ).

fof(f1917,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != multiply(sk_c6,sk_c7)
        | sk_c6 != inverse(X6)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c5 != multiply(X4,sk_c7)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_7
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f1492,f1656]) ).

fof(f2327,plain,
    ( spl0_6
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_14
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f2294,f1328,f1279,f528,f517,f36,f462]) ).

fof(f528,plain,
    ( spl0_10
  <=> ! [X3] :
        ( sk_c7 != inverse(X3)
        | sk_c6 != multiply(X3,sk_c7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f2294,plain,
    ( ! [X3] :
        ( identity != multiply(X3,identity)
        | identity != inverse(X3) )
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_14
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f2293,f1281]) ).

fof(f2293,plain,
    ( ! [X3] :
        ( sk_c6 != multiply(X3,identity)
        | identity != inverse(X3) )
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_14
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f2292,f1527]) ).

fof(f2292,plain,
    ( ! [X3] :
        ( identity != inverse(X3)
        | sk_c6 != multiply(X3,sk_c7) )
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_14
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f529,f1527]) ).

fof(f529,plain,
    ( ! [X3] :
        ( sk_c7 != inverse(X3)
        | sk_c6 != multiply(X3,sk_c7) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f528]) ).

fof(f2138,plain,
    ( ~ spl0_2
    | ~ spl0_7
    | ~ spl0_14
    | ~ spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f2137]) ).

fof(f2137,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_14
    | ~ spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f42,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f1060,f1059,f1049,f1048,f1047,f9,f13,f10,f25,f27,f12,f28,f24,f518,f1176,f1175,f1196,f1195,f1216,f1465,f1333,f19,f1492,f1215,f1531,f26,f21,f1805,f1847,f1653,f31,f16,f11,f1330,f1840,f1532,f1281]) ).

fof(f1532,plain,
    ( identity = sk_c7
    | ~ spl0_7
    | ~ spl0_14
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1531,f1330]) ).

fof(f1840,plain,
    ( identity != sk_c7
    | ~ spl0_14
    | spl0_17 ),
    inference(forward_demodulation,[],[f1839,f442]) ).

fof(f1839,plain,
    ( sk_c7 != inverse(identity)
    | ~ spl0_14
    | spl0_17 ),
    inference(forward_demodulation,[],[f1653,f1281]) ).

fof(f1653,plain,
    ( sk_c7 != inverse(sk_c6)
    | spl0_17 ),
    inference(avatar_component_clause,[],[f1651]) ).

fof(f1333,plain,
    ( sk_c6 = multiply(inverse(sk_c7),identity)
    | ~ spl0_7
    | ~ spl0_16 ),
    inference(superposition,[],[f1175,f1330]) ).

fof(f1465,plain,
    ( sk_c6 = multiply(inverse(inverse(inverse(sk_c7))),identity)
    | ~ spl0_7
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1215,f1330]) ).

fof(f1047,plain,
    ( multiply(sk_c7,sk_c6) = sk_c5
    | ~ spl0_7 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f31,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f16,f14,f9,f11,f13,f34,f23,f21,f19,f20,f10,f25,f27,f22,f12,f7,f5,f28,f26,f24,f8,f6,f518,f4]) ).

fof(f1048,plain,
    ( multiply(sk_c7,sk_c6) = sk_c5
    | ~ spl0_7 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f31,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f16,f14,f9,f11,f13,f34,f23,f21,f19,f20,f10,f25,f27,f22,f12,f7,f5,f28,f26,f24,f8,f518,f4,f1047,f6]) ).

fof(f1049,plain,
    ( multiply(sk_c7,sk_c6) = sk_c5
    | ~ spl0_7 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f31,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f16,f14,f9,f11,f13,f34,f23,f21,f19,f20,f10,f25,f27,f22,f12,f7,f5,f28,f26,f24,f518,f4,f1047,f6,f1048,f8]) ).

fof(f1059,plain,
    ( multiply(sk_c7,sk_c6) = sk_c5
    | ~ spl0_7 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f31,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f16,f14,f9,f11,f13,f34,f23,f21,f19,f20,f10,f25,f27,f22,f12,f7,f28,f26,f24,f518,f4,f1047,f6,f1048,f8,f1049,f5]) ).

fof(f1060,plain,
    ( multiply(sk_c7,sk_c6) = sk_c5
    | ~ spl0_7 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f31,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f16,f14,f9,f11,f13,f34,f23,f21,f19,f20,f10,f25,f27,f22,f12,f28,f26,f24,f518,f4,f1047,f6,f1048,f8,f1049,f5,f1059,f7]) ).

fof(f2136,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_14
    | ~ spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f2135]) ).

fof(f2135,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_14
    | ~ spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f639,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f1060,f1059,f1049,f1048,f1047,f9,f13,f10,f25,f27,f12,f28,f24,f518,f1176,f1175,f1196,f1195,f1216,f1465,f1333,f19,f1492,f1215,f1531,f26,f21,f1805,f1847,f1653,f31,f16,f11,f1330,f1840,f1532,f1281]) ).

fof(f2134,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_14
    | ~ spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f2133]) ).

fof(f2133,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_14
    | ~ spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f1489,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f1060,f1059,f1049,f1048,f1047,f9,f13,f10,f25,f27,f12,f28,f24,f518,f1176,f1175,f1196,f1195,f1216,f1465,f1333,f19,f1492,f1215,f1531,f26,f21,f1805,f1847,f1653,f31,f16,f11,f1330,f1840,f1532,f1281]) ).

fof(f1489,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_14
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f1488,f1,f2,f15,f3,f33,f31,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f16,f14,f23,f21,f19,f20,f22,f4,f6,f8,f5,f7,f34,f9,f11,f13,f10,f25,f27,f12,f28,f26,f24,f1281]) ).

fof(f2132,plain,
    ( ~ spl0_7
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_16
    | spl0_17
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2131]) ).

fof(f2131,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_16
    | spl0_17
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f2130,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f1060,f1059,f1049,f1048,f1047,f9,f13,f10,f25,f27,f12,f28,f24,f518,f1176,f1175,f1196,f1195,f1216,f1465,f1333,f19,f1492,f1215,f1531,f26,f21,f1805,f1847,f1653,f31,f16,f11,f1330,f1840,f1532,f1281]) ).

fof(f2129,plain,
    ( ~ spl0_5
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f2128]) ).

fof(f2128,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f1645,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f1060,f1059,f1049,f1048,f1047,f9,f13,f10,f25,f27,f12,f28,f24,f518,f1176,f1175,f1196,f1195,f1216,f1465,f1333,f19,f1492,f1215,f1531,f26,f21,f1805,f1847,f1653,f31,f16,f11,f1330,f1840,f1532,f1281]) ).

fof(f2127,plain,
    ( ~ spl0_5
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | spl0_17
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2126]) ).

fof(f2126,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | spl0_17
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f2125,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f1060,f1059,f1049,f1048,f1047,f9,f13,f10,f25,f27,f12,f28,f24,f518,f1176,f1175,f1196,f1195,f1216,f1465,f1333,f19,f1492,f1215,f1531,f26,f21,f1805,f1847,f1653,f31,f16,f11,f1330,f1840,f1532,f1281]) ).

fof(f2124,plain,
    ( ~ spl0_5
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_16
    | spl0_17
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2123]) ).

fof(f2123,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_16
    | spl0_17
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f2122,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f1060,f1059,f1049,f1048,f1047,f9,f13,f10,f25,f27,f12,f28,f24,f518,f1176,f1175,f1196,f1195,f1216,f1465,f1333,f19,f1492,f1215,f1531,f26,f21,f1805,f1847,f1653,f31,f16,f11,f1330,f1840,f1532,f1281]) ).

fof(f2121,plain,
    ( ~ spl0_5
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f2120]) ).

fof(f2120,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f1662,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f1060,f1059,f1049,f1048,f1047,f9,f13,f10,f25,f27,f12,f28,f24,f518,f1176,f1175,f1196,f1195,f1216,f1465,f1333,f19,f1492,f1215,f1531,f26,f21,f1805,f1847,f1653,f31,f16,f11,f1330,f1840,f1532,f1281]) ).

fof(f2119,plain,
    ( ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | spl0_17
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2118]) ).

fof(f2118,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | spl0_17
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f2117,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f1060,f1059,f1049,f1048,f1047,f9,f13,f10,f25,f27,f12,f28,f24,f518,f1176,f1175,f1196,f1195,f1216,f1465,f1333,f19,f1492,f1215,f1531,f26,f21,f1805,f1847,f1653,f31,f16,f11,f1330,f1840,f1532,f1281]) ).

fof(f2117,plain,
    ( sk_c7 = multiply(sk_c7,sk_c7)
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_13
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f1715,f1656]) ).

fof(f1715,plain,
    ( sk_c7 = multiply(sk_c7,sk_c5)
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f522,f1644]) ).

fof(f2116,plain,
    ( ~ spl0_5
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | spl0_17
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2115]) ).

fof(f2115,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | spl0_17
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f2114,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f1060,f1059,f1049,f1048,f1047,f9,f13,f10,f25,f27,f12,f28,f24,f518,f1176,f1175,f1196,f1195,f1216,f1465,f1333,f19,f1492,f1215,f1531,f26,f21,f1805,f1847,f1653,f31,f16,f11,f1330,f1840,f1532,f1281]) ).

fof(f2113,plain,
    ( ~ spl0_5
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f2112]) ).

fof(f2112,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f1578,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f1060,f1059,f1049,f1048,f1047,f9,f13,f10,f25,f27,f12,f28,f24,f518,f1176,f1175,f1196,f1195,f1216,f1465,f1333,f19,f1492,f1215,f1531,f26,f21,f1805,f1847,f1653,f31,f16,f11,f1330,f1840,f1532,f1281]) ).

fof(f2111,plain,
    ( ~ spl0_7
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f2110]) ).

fof(f2110,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f1336,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f1060,f1059,f1049,f1048,f1047,f9,f13,f10,f25,f27,f12,f28,f24,f518,f1176,f1175,f1196,f1195,f1216,f1465,f1333,f19,f1492,f1215,f1531,f26,f21,f1805,f1847,f1653,f31,f16,f11,f1330,f1840,f1532,f1281]) ).

fof(f2109,plain,
    ( ~ spl0_5
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f2108]) ).

fof(f2108,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f1671,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f1060,f1059,f1049,f1048,f1047,f9,f13,f10,f25,f27,f12,f28,f24,f518,f1176,f1175,f1196,f1195,f1216,f1465,f1333,f19,f1492,f1215,f1531,f26,f21,f1805,f1847,f1653,f31,f16,f11,f1330,f1840,f1532,f1281]) ).

fof(f2107,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f2106]) ).

fof(f2106,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f1712,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f1060,f1059,f1049,f1048,f1047,f9,f13,f10,f25,f27,f12,f28,f24,f518,f1176,f1175,f1196,f1195,f1216,f1465,f1333,f19,f1492,f1215,f1531,f26,f21,f1805,f1847,f1653,f31,f16,f11,f1330,f1840,f1532,f1281]) ).

fof(f1712,plain,
    ( identity = sk_c5
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1711,f1229]) ).

fof(f1711,plain,
    ( sk_c5 = multiply(sk_c3,sk_c7)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1232,f1644]) ).

fof(f1232,plain,
    ( sk_c5 = multiply(sk_c3,sk_c6)
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(superposition,[],[f1201,f1177]) ).

fof(f1177,plain,
    ( sk_c5 = multiply(inverse(sk_c7),sk_c6)
    | ~ spl0_8 ),
    inference(superposition,[],[f60,f522]) ).

fof(f2105,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f2104]) ).

fof(f2104,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f1362,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f1060,f1059,f1049,f1048,f1047,f9,f13,f10,f25,f27,f12,f28,f24,f518,f1176,f1175,f1196,f1195,f1216,f1465,f1333,f19,f1492,f1215,f1531,f26,f21,f1805,f1847,f1653,f31,f16,f11,f1330,f1840,f1532,f1281]) ).

fof(f1362,plain,
    ( identity = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1350,f1330]) ).

fof(f1350,plain,
    ( sk_c5 = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(superposition,[],[f1286,f1338]) ).

fof(f2103,plain,
    ( ~ spl0_5
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | spl0_17
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2102]) ).

fof(f2102,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | spl0_17
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f2101,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f1060,f1059,f1049,f1048,f1047,f9,f13,f10,f25,f27,f12,f28,f24,f518,f1176,f1175,f1196,f1195,f1216,f1465,f1333,f19,f1492,f1215,f1531,f26,f21,f1805,f1847,f1653,f31,f16,f11,f1330,f1840,f1532,f1281]) ).

fof(f2100,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f2099]) ).

fof(f2099,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f1391,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f1060,f1059,f1049,f1048,f1047,f9,f13,f10,f25,f27,f12,f28,f24,f518,f1176,f1175,f1196,f1195,f1216,f1465,f1333,f19,f1492,f1215,f1531,f26,f21,f1805,f1847,f1653,f31,f16,f11,f1330,f1840,f1532,f1281]) ).

fof(f1391,plain,
    ( sk_c7 = multiply(sk_c3,identity)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1390,f1338]) ).

fof(f1390,plain,
    ( sk_c6 = multiply(sk_c3,identity)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1336,f1358]) ).

fof(f1358,plain,
    ( sk_c3 = sk_c4
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1344,f1180]) ).

fof(f1344,plain,
    ( sk_c4 = multiply(inverse(sk_c7),identity)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_16 ),
    inference(superposition,[],[f1183,f1338]) ).

fof(f2098,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f2097]) ).

fof(f2097,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f1394,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f1060,f1059,f1049,f1048,f1047,f9,f13,f10,f25,f27,f12,f28,f24,f518,f1176,f1175,f1196,f1195,f1216,f1465,f1333,f19,f1492,f1215,f1531,f26,f21,f1805,f1847,f1653,f31,f16,f11,f1330,f1840,f1532,f1281]) ).

fof(f1394,plain,
    ( sk_c7 = sk_c3
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(superposition,[],[f1391,f1230]) ).

fof(f2096,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f2095]) ).

fof(f2095,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f1396,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f1060,f1059,f1049,f1048,f1047,f9,f13,f10,f25,f27,f12,f28,f24,f518,f1176,f1175,f1196,f1195,f1216,f1465,f1333,f19,f1492,f1215,f1531,f26,f21,f1805,f1847,f1653,f31,f16,f11,f1330,f1840,f1532,f1281]) ).

fof(f1396,plain,
    ( identity = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(superposition,[],[f1169,f1391]) ).

fof(f2094,plain,
    ( ~ spl0_5
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f2093]) ).

fof(f2093,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f1539,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f1060,f1059,f1049,f1048,f1047,f9,f13,f10,f25,f27,f12,f28,f24,f518,f1176,f1175,f1196,f1195,f1216,f1465,f1333,f19,f1492,f1215,f1531,f26,f21,f1805,f1847,f1653,f31,f16,f11,f1330,f1840,f1532,f1281]) ).

fof(f2092,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f2091]) ).

fof(f2091,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f1399,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f1060,f1059,f1049,f1048,f1047,f9,f13,f10,f25,f27,f12,f28,f24,f518,f1176,f1175,f1196,f1195,f1216,f1465,f1333,f19,f1492,f1215,f1531,f26,f21,f1805,f1847,f1653,f31,f16,f11,f1330,f1840,f1532,f1281]) ).

fof(f1399,plain,
    ( identity = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1397,f38]) ).

fof(f1397,plain,
    ( identity = multiply(inverse(sk_c3),sk_c7)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(superposition,[],[f60,f1391]) ).

fof(f2090,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f2089]) ).

fof(f2089,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f1401,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f1060,f1059,f1049,f1048,f1047,f9,f13,f10,f25,f27,f12,f28,f24,f518,f1176,f1175,f1196,f1195,f1216,f1465,f1333,f19,f1492,f1215,f1531,f26,f21,f1805,f1847,f1653,f31,f16,f11,f1330,f1840,f1532,f1281]) ).

fof(f1401,plain,
    ( sk_c7 = inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(superposition,[],[f38,f1394]) ).

fof(f2088,plain,
    ( ~ spl0_5
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f2087]) ).

fof(f2087,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f1541,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f1060,f1059,f1049,f1048,f1047,f9,f13,f10,f25,f27,f12,f28,f24,f518,f1176,f1175,f1196,f1195,f1216,f1465,f1333,f19,f1492,f1215,f1531,f26,f21,f1805,f1847,f1653,f31,f16,f11,f1330,f1840,f1532,f1281]) ).

fof(f2086,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f2085]) ).

fof(f2085,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f1403,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f1060,f1059,f1049,f1048,f1047,f9,f13,f10,f25,f27,f12,f28,f24,f518,f1176,f1175,f1196,f1195,f1216,f1465,f1333,f19,f1492,f1215,f1531,f26,f21,f1805,f1847,f1653,f31,f16,f11,f1330,f1840,f1532,f1281]) ).

fof(f1403,plain,
    ( identity = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(superposition,[],[f1170,f1394]) ).

fof(f2084,plain,
    ( ~ spl0_5
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f2083]) ).

fof(f2083,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f1553,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f1060,f1059,f1049,f1048,f1047,f9,f13,f10,f25,f27,f12,f28,f24,f518,f1176,f1175,f1196,f1195,f1216,f1465,f1333,f19,f1492,f1215,f1531,f26,f21,f1805,f1847,f1653,f31,f16,f11,f1330,f1840,f1532,f1281]) ).

fof(f2082,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f2081]) ).

fof(f2081,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f1405,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f1060,f1059,f1049,f1048,f1047,f9,f13,f10,f25,f27,f12,f28,f24,f518,f1176,f1175,f1196,f1195,f1216,f1465,f1333,f19,f1492,f1215,f1531,f26,f21,f1805,f1847,f1653,f31,f16,f11,f1330,f1840,f1532,f1281]) ).

fof(f1405,plain,
    ( identity = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(superposition,[],[f1229,f1394]) ).

fof(f2080,plain,
    ( ~ spl0_5
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f2079]) ).

fof(f2079,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f1555,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f1060,f1059,f1049,f1048,f1047,f9,f13,f10,f25,f27,f12,f28,f24,f518,f1176,f1175,f1196,f1195,f1216,f1465,f1333,f19,f1492,f1215,f1531,f26,f21,f1805,f1847,f1653,f31,f16,f11,f1330,f1840,f1532,f1281]) ).

fof(f2078,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f2077]) ).

fof(f2077,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f1682,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f1060,f1059,f1049,f1048,f1047,f9,f13,f10,f25,f27,f12,f28,f24,f518,f1176,f1175,f1196,f1195,f1216,f1465,f1333,f19,f1492,f1215,f1531,f26,f21,f1805,f1847,f1653,f31,f16,f11,f1330,f1840,f1532,f1281]) ).

fof(f2076,plain,
    ( ~ spl0_5
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f2075]) ).

fof(f2075,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f1558,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f1060,f1059,f1049,f1048,f1047,f9,f13,f10,f25,f27,f12,f28,f24,f518,f1176,f1175,f1196,f1195,f1216,f1465,f1333,f19,f1492,f1215,f1531,f26,f21,f1805,f1847,f1653,f31,f16,f11,f1330,f1840,f1532,f1281]) ).

fof(f2074,plain,
    ( ~ spl0_5
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f2073]) ).

fof(f2073,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f1560,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f1060,f1059,f1049,f1048,f1047,f9,f13,f10,f25,f27,f12,f28,f24,f518,f1176,f1175,f1196,f1195,f1216,f1465,f1333,f19,f1492,f1215,f1531,f26,f21,f1805,f1847,f1653,f31,f16,f11,f1330,f1840,f1532,f1281]) ).

fof(f2072,plain,
    ( ~ spl0_5
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f2071]) ).

fof(f2071,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f1562,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f1060,f1059,f1049,f1048,f1047,f9,f13,f10,f25,f27,f12,f28,f24,f518,f1176,f1175,f1196,f1195,f1216,f1465,f1333,f19,f1492,f1215,f1531,f26,f21,f1805,f1847,f1653,f31,f16,f11,f1330,f1840,f1532,f1281]) ).

fof(f2070,plain,
    ( ~ spl0_5
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f2069]) ).

fof(f2069,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f1565,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f1060,f1059,f1049,f1048,f1047,f9,f13,f10,f25,f27,f12,f28,f24,f518,f1176,f1175,f1196,f1195,f1216,f1465,f1333,f19,f1492,f1215,f1531,f26,f21,f1805,f1847,f1653,f31,f16,f11,f1330,f1840,f1532,f1281]) ).

fof(f2068,plain,
    ( ~ spl0_5
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f2067]) ).

fof(f2067,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f1644,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f1060,f1059,f1049,f1048,f1047,f9,f13,f10,f25,f27,f12,f28,f24,f518,f1176,f1175,f1196,f1195,f1216,f1465,f1333,f19,f1492,f1215,f1531,f26,f21,f1805,f1847,f1653,f31,f16,f11,f1330,f1840,f1532,f1281]) ).

fof(f2066,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f2065]) ).

fof(f2065,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f1421,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f1060,f1059,f1049,f1048,f1047,f9,f13,f10,f25,f27,f12,f28,f24,f518,f1176,f1175,f1196,f1195,f1216,f1465,f1333,f19,f1492,f1215,f1531,f26,f21,f1805,f1847,f1653,f31,f16,f11,f1330,f1840,f1532,f1281]) ).

fof(f1421,plain,
    ( identity = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(superposition,[],[f2,f1401]) ).

fof(f2064,plain,
    ( ~ spl0_7
    | ~ spl0_14
    | ~ spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f2063]) ).

fof(f2063,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_14
    | ~ spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f1060,f1059,f1049,f1048,f1047,f9,f13,f10,f25,f27,f12,f28,f24,f518,f1176,f1175,f1196,f1195,f1216,f1465,f1333,f19,f1492,f1215,f1531,f26,f21,f1805,f1847,f1653,f31,f16,f11,f1330,f1840,f1532,f1281]) ).

fof(f2061,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_14
    | ~ spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f2060]) ).

fof(f2060,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_14
    | ~ spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f1527,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f1060,f1059,f1049,f1048,f1047,f9,f13,f10,f25,f27,f12,f28,f24,f518,f1176,f1175,f1196,f1195,f1216,f1465,f1333,f19,f1492,f1215,f1531,f26,f21,f1281,f1805,f1847,f1653,f31,f16,f11,f1330,f1840,f1532]) ).

fof(f2059,plain,
    ( ~ spl0_5
    | ~ spl0_7
    | ~ spl0_14
    | ~ spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f2058]) ).

fof(f2058,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_14
    | ~ spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f1530,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f1060,f1059,f1049,f1048,f1047,f9,f13,f10,f25,f27,f12,f28,f24,f518,f1176,f1175,f1196,f1195,f1216,f1465,f1333,f19,f1492,f1215,f1531,f26,f21,f1281,f1805,f1847,f1653,f31,f16,f11,f1330,f1840,f1532]) ).

fof(f2057,plain,
    ( ~ spl0_7
    | ~ spl0_14
    | ~ spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f2056]) ).

fof(f2056,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_14
    | ~ spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f1060,f1059,f1049,f1048,f1047,f9,f13,f10,f25,f27,f12,f28,f24,f518,f1176,f1175,f1196,f1195,f1216,f1465,f1333,f19,f1492,f1215,f1531,f26,f21,f1281,f1805,f1847,f1653,f31,f16,f11,f1330,f1840,f1532]) ).

fof(f2040,plain,
    ( spl0_2
    | ~ spl0_7
    | spl0_14
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2039]) ).

fof(f2039,plain,
    ( $false
    | spl0_2
    | ~ spl0_7
    | spl0_14
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f41,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f1060,f1059,f1049,f1048,f1047,f9,f13,f10,f25,f27,f12,f28,f24,f518,f1176,f1175,f1196,f1195,f1216,f19,f1492,f1215,f26,f21,f1656,f1901,f11,f1906,f1909,f16,f1914,f1920,f1923,f1878,f1928,f1931,f1860,f1850,f31,f1818,f1280]) ).

fof(f2038,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_7
    | spl0_14
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2037]) ).

fof(f2037,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_7
    | spl0_14
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f612,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f1060,f1059,f1049,f1048,f1047,f9,f13,f10,f25,f27,f12,f28,f24,f518,f1176,f1175,f1196,f1195,f1216,f19,f1492,f1215,f26,f21,f1656,f1901,f11,f1906,f1909,f16,f1914,f1920,f1923,f1878,f1928,f1931,f1860,f1850,f31,f1818,f1280]) ).

fof(f2036,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_7
    | spl0_14
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2035]) ).

fof(f2035,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_7
    | spl0_14
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f603,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f1060,f1059,f1049,f1048,f1047,f9,f13,f10,f25,f27,f12,f28,f24,f518,f1176,f1175,f1196,f1195,f1216,f19,f1492,f1215,f26,f21,f1656,f1901,f11,f1906,f1909,f16,f1914,f1920,f1923,f1878,f1928,f1931,f1860,f1850,f31,f1818,f1280]) ).

fof(f2034,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_7
    | spl0_14
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2033]) ).

fof(f2033,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_7
    | spl0_14
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f581,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f1060,f1059,f1049,f1048,f1047,f9,f13,f10,f25,f27,f12,f28,f24,f518,f1176,f1175,f1196,f1195,f1216,f19,f1492,f1215,f26,f21,f1656,f1901,f11,f1906,f1909,f16,f1914,f1920,f1923,f1878,f1928,f1931,f1860,f1850,f31,f1818,f1280]) ).

fof(f2032,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_7
    | spl0_14
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2031]) ).

fof(f2031,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_7
    | spl0_14
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f583,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f1060,f1059,f1049,f1048,f1047,f9,f13,f10,f25,f27,f12,f28,f24,f518,f1176,f1175,f1196,f1195,f1216,f19,f1492,f1215,f26,f21,f1656,f1901,f11,f1906,f1909,f16,f1914,f1920,f1923,f1878,f1928,f1931,f1860,f1850,f31,f1818,f1280]) ).

fof(f2030,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_5 ),
    inference(avatar_contradiction_clause,[],[f2029]) ).

fof(f2029,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f567,f1192]) ).

fof(f1192,plain,
    ( identity != sk_c7
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f1191,f442]) ).

fof(f1191,plain,
    ( sk_c7 != inverse(identity)
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f1187]) ).

fof(f1187,plain,
    ( sk_c7 != sk_c7
    | sk_c7 != inverse(identity)
    | ~ spl0_3 ),
    inference(superposition,[],[f170,f1]) ).

fof(f170,plain,
    ( ! [X4] :
        ( sk_c7 != multiply(X4,sk_c7)
        | sk_c7 != inverse(X4) )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f169]) ).

fof(f169,plain,
    ( spl0_3
  <=> ! [X4] :
        ( sk_c7 != multiply(X4,sk_c7)
        | sk_c7 != inverse(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f2028,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_7
    | spl0_14
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2027]) ).

fof(f2027,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_7
    | spl0_14
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f611,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f1060,f1059,f1049,f1048,f1047,f9,f13,f10,f25,f27,f12,f28,f24,f518,f1176,f1175,f1196,f1195,f1216,f19,f1492,f1215,f26,f21,f1656,f1901,f11,f1906,f1909,f16,f1914,f1920,f1923,f1878,f1928,f1931,f1860,f1850,f31,f1818,f1280]) ).

fof(f2026,plain,
    ( ~ spl0_4
    | ~ spl0_7
    | spl0_14
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2025]) ).

fof(f2025,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_7
    | spl0_14
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f180,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f1060,f1059,f1049,f1048,f1047,f9,f13,f10,f25,f27,f12,f28,f24,f518,f1176,f1175,f1196,f1195,f1216,f19,f1492,f1215,f26,f21,f1656,f1901,f11,f1906,f1909,f16,f1914,f1920,f1923,f1878,f1928,f1931,f1860,f1850,f31,f1818,f1280]) ).

fof(f2024,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_7
    | spl0_14
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2023]) ).

fof(f2023,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_7
    | spl0_14
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f544,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f1060,f1059,f1049,f1048,f1047,f9,f13,f10,f25,f27,f12,f28,f24,f518,f1176,f1175,f1196,f1195,f1216,f19,f1492,f1215,f26,f21,f1656,f1901,f11,f1906,f1909,f16,f1914,f1920,f1923,f1878,f1928,f1931,f1860,f1850,f31,f1818,f1280]) ).

fof(f2022,plain,
    ( ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2021]) ).

fof(f2021,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f2020,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f1060,f1059,f1049,f1048,f1047,f9,f13,f10,f25,f27,f12,f28,f24,f518,f1176,f1175,f1196,f1195,f1216,f19,f1492,f1215,f26,f21,f1656,f1901,f11,f1906,f1909,f16,f1914,f1920,f1923,f1878,f1928,f1931,f1860,f1850,f31,f1818,f1280]) ).

fof(f2020,plain,
    ( sk_c6 = sk_c2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1602,f1305]) ).

fof(f1602,plain,
    ( sk_c2 = multiply(sk_c6,identity)
    | ~ spl0_4
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(superposition,[],[f1552,f186]) ).

fof(f2019,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_8
    | spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2018]) ).

fof(f2018,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_8
    | spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1448,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f1060,f1059,f1049,f1048,f1047,f9,f13,f10,f25,f27,f12,f28,f24,f518,f1176,f1175,f1196,f1195,f1216,f19,f1492,f1215,f26,f21,f1656,f1901,f11,f1906,f1909,f16,f1914,f1920,f1923,f1878,f1928,f1931,f1860,f1850,f31,f1818,f1280]) ).

fof(f1448,plain,
    ( sk_c7 = sk_c2
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1442,f1244]) ).

fof(f1442,plain,
    ( sk_c2 = multiply(sk_c7,identity)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(superposition,[],[f1389,f186]) ).

fof(f1389,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c7,X0)) = X0
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1388,f1]) ).

fof(f1388,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c7,X0))
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(superposition,[],[f3,f1384]) ).

fof(f1384,plain,
    ( identity = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1383,f1330]) ).

fof(f1383,plain,
    ( sk_c5 = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1326,f1338]) ).

fof(f2017,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_8
    | spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2016]) ).

fof(f2016,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_8
    | spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1450,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f1060,f1059,f1049,f1048,f1047,f9,f13,f10,f25,f27,f12,f28,f24,f518,f1176,f1175,f1196,f1195,f1216,f19,f1492,f1215,f26,f21,f1656,f1901,f11,f1906,f1909,f16,f1914,f1920,f1923,f1878,f1928,f1931,f1860,f1850,f31,f1818,f1280]) ).

fof(f1450,plain,
    ( sk_c7 = sk_c3
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(superposition,[],[f1448,f544]) ).

fof(f2015,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_8
    | spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2014]) ).

fof(f2014,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_8
    | spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1451,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f1060,f1059,f1049,f1048,f1047,f9,f13,f10,f25,f27,f12,f28,f24,f518,f1176,f1175,f1196,f1195,f1216,f19,f1492,f1215,f26,f21,f1656,f1901,f11,f1906,f1909,f16,f1914,f1920,f1923,f1878,f1928,f1931,f1860,f1850,f31,f1818,f1280]) ).

fof(f1451,plain,
    ( sk_c7 = inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(superposition,[],[f180,f1448]) ).

fof(f2013,plain,
    ( ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2012]) ).

fof(f2012,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1612,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f1060,f1059,f1049,f1048,f1047,f9,f13,f10,f25,f27,f12,f28,f24,f518,f1176,f1175,f1196,f1195,f1216,f19,f1492,f1215,f26,f21,f1656,f1901,f11,f1906,f1909,f16,f1914,f1920,f1923,f1878,f1928,f1931,f1860,f1850,f31,f1818,f1280]) ).

fof(f1612,plain,
    ( sk_c6 = sk_c2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1602,f1305]) ).

fof(f2011,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_8
    | spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2010]) ).

fof(f2010,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_8
    | spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1454,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f1060,f1059,f1049,f1048,f1047,f9,f13,f10,f25,f27,f12,f28,f24,f518,f1176,f1175,f1196,f1195,f1216,f19,f1492,f1215,f26,f21,f1656,f1901,f11,f1906,f1909,f16,f1914,f1920,f1923,f1878,f1928,f1931,f1860,f1850,f31,f1818,f1280]) ).

fof(f1454,plain,
    ( sk_c7 = sk_c3
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(superposition,[],[f544,f1448]) ).

fof(f2009,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | spl0_13
    | spl0_14
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2008]) ).

fof(f2008,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | spl0_13
    | spl0_14
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1844,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f1060,f1059,f1049,f1048,f1047,f9,f13,f10,f25,f27,f12,f28,f24,f518,f1176,f1175,f1196,f1195,f1216,f19,f1492,f1215,f26,f21,f1656,f1901,f11,f1906,f1909,f16,f1914,f1920,f1923,f1878,f1928,f1931,f1860,f1850,f31,f1818,f1280]) ).

fof(f1844,plain,
    ( identity = sk_c5
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | spl0_13
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1843,f1229]) ).

fof(f1843,plain,
    ( sk_c5 = multiply(sk_c3,sk_c7)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | spl0_13
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1785,f544]) ).

fof(f1785,plain,
    ( sk_c5 = multiply(sk_c2,sk_c7)
    | ~ spl0_5
    | spl0_13
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f18,f16,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f9,f11,f13,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1174,f1185,f1183,f1173,f1212,f1202,f1223,f1225,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f19,f1326,f1642,f1643,f1641,f1648,f1717,f1733,f1723,f1721,f21,f31,f26]) ).

fof(f1733,plain,
    ( sk_c7 != sk_c6
    | ~ spl0_5
    | spl0_13
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1276,f1641]) ).

fof(f1276,plain,
    ( sk_c6 != multiply(sk_c4,sk_c5)
    | spl0_13 ),
    inference(avatar_component_clause,[],[f1275]) ).

fof(f2007,plain,
    ( ~ spl0_7
    | ~ spl0_10
    | spl0_14
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2006]) ).

fof(f2006,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_10
    | spl0_14
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f529,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f1060,f1059,f1049,f1048,f1047,f9,f13,f10,f25,f27,f12,f28,f24,f518,f1176,f1175,f1196,f1195,f1216,f19,f1492,f1215,f26,f21,f1656,f1901,f11,f1906,f1909,f16,f1914,f1920,f1923,f1878,f1928,f1931,f1860,f1850,f31,f1818,f1280]) ).

fof(f2005,plain,
    ( ~ spl0_7
    | spl0_14
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2004]) ).

fof(f2004,plain,
    ( $false
    | ~ spl0_7
    | spl0_14
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f1060,f1059,f1049,f1048,f1047,f9,f13,f10,f25,f27,f12,f28,f24,f518,f1176,f1175,f1196,f1195,f1216,f19,f1492,f1215,f26,f21,f1656,f1901,f11,f1906,f1909,f16,f1914,f1920,f1923,f1878,f1928,f1931,f1860,f1850,f31,f1818,f1280]) ).

fof(f2003,plain,
    ( ~ spl0_7
    | spl0_14
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2002]) ).

fof(f2002,plain,
    ( $false
    | ~ spl0_7
    | spl0_14
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f2001,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f1060,f1059,f1049,f1048,f1047,f9,f13,f10,f25,f27,f12,f28,f24,f518,f1176,f1175,f1196,f1195,f1216,f1280,f19,f1492,f1215,f26,f21,f1656,f1901,f11,f1906,f1909,f16,f1914,f1920,f1923,f1878,f1928,f1931,f1860,f1850,f31,f1818]) ).

fof(f2000,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1999]) ).

fof(f1999,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1384,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f1060,f1059,f1049,f1048,f1047,f9,f13,f10,f25,f27,f12,f28,f24,f518,f1176,f1175,f1196,f1195,f1216,f1280,f19,f1492,f1215,f26,f21,f1656,f1901,f11,f1906,f1909,f16,f1914,f1920,f1923,f1878,f1928,f1931,f1860,f1850,f31,f1818]) ).

fof(f1998,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1997]) ).

fof(f1997,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1386,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f1060,f1059,f1049,f1048,f1047,f9,f13,f10,f25,f27,f12,f28,f24,f518,f1176,f1175,f1196,f1195,f1216,f1280,f19,f1492,f1215,f26,f21,f1656,f1901,f11,f1906,f1909,f16,f1914,f1920,f1923,f1878,f1928,f1931,f1860,f1850,f31,f1818]) ).

fof(f1386,plain,
    ( sk_c7 = multiply(sk_c3,identity)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(superposition,[],[f1231,f1384]) ).

fof(f1996,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1995]) ).

fof(f1995,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1447,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f1060,f1059,f1049,f1048,f1047,f9,f13,f10,f25,f27,f12,f28,f24,f518,f1176,f1175,f1196,f1195,f1216,f1280,f19,f1492,f1215,f26,f21,f1656,f1901,f11,f1906,f1909,f16,f1914,f1920,f1923,f1878,f1928,f1931,f1860,f1850,f31,f1818]) ).

fof(f1447,plain,
    ( sk_c7 = sk_c3
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1441,f1244]) ).

fof(f1441,plain,
    ( sk_c3 = multiply(sk_c7,identity)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(superposition,[],[f1389,f1170]) ).

fof(f1994,plain,
    ( ~ spl0_5
    | ~ spl0_7
    | spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1993]) ).

fof(f1993,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_7
    | spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1549,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f1060,f1059,f1049,f1048,f1047,f9,f13,f10,f25,f27,f12,f28,f24,f518,f1176,f1175,f1196,f1195,f1216,f1280,f19,f1492,f1215,f26,f21,f1656,f1901,f11,f1906,f1909,f16,f1914,f1920,f1923,f1878,f1928,f1931,f1860,f1850,f31,f1818]) ).

fof(f1992,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_7
    | spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1991]) ).

fof(f1991,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_7
    | spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1990,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f1060,f1059,f1049,f1048,f1047,f9,f13,f10,f25,f27,f12,f28,f24,f518,f1176,f1175,f1196,f1195,f1216,f1280,f19,f1492,f1215,f26,f21,f1656,f1901,f11,f1906,f1909,f16,f1914,f1920,f1923,f1878,f1928,f1931,f1860,f1850,f31,f1818]) ).

fof(f1989,plain,
    ( ~ spl0_7
    | spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1988]) ).

fof(f1988,plain,
    ( $false
    | ~ spl0_7
    | spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1491,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f1060,f1059,f1049,f1048,f1047,f9,f13,f10,f25,f27,f12,f28,f24,f518,f1176,f1175,f1196,f1195,f1216,f1280,f19,f1492,f1215,f26,f21,f1656,f1901,f11,f1906,f1909,f16,f1914,f1920,f1923,f1878,f1928,f1931,f1860,f1850,f31,f1818]) ).

fof(f1987,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_7
    | spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1986]) ).

fof(f1986,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_7
    | spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1611,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f1060,f1059,f1049,f1048,f1047,f9,f13,f10,f25,f27,f12,f28,f24,f518,f1176,f1175,f1196,f1195,f1216,f1280,f19,f1492,f1215,f26,f21,f1656,f1901,f11,f1906,f1909,f16,f1914,f1920,f1923,f1878,f1928,f1931,f1860,f1850,f31,f1818]) ).

fof(f1985,plain,
    ( ~ spl0_3
    | ~ spl0_7
    | spl0_14
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1984]) ).

fof(f1984,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_7
    | spl0_14
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1983,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f1060,f1059,f1049,f1048,f1047,f9,f13,f10,f25,f27,f12,f28,f24,f518,f1176,f1175,f1196,f1195,f1216,f1280,f19,f1492,f1215,f26,f21,f1656,f1901,f11,f1906,f1909,f16,f1914,f1920,f1923,f1878,f1928,f1931,f1860,f1850,f31,f1818]) ).

fof(f1983,plain,
    ( sk_c7 != inverse(sk_c6)
    | ~ spl0_3
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(subsumption_resolution,[],[f1640,f1656]) ).

fof(f1640,plain,
    ( sk_c7 != sk_c5
    | sk_c7 != inverse(sk_c6)
    | ~ spl0_3
    | ~ spl0_15 ),
    inference(superposition,[],[f170,f1326]) ).

fof(f1982,plain,
    ( ~ spl0_5
    | ~ spl0_7
    | spl0_14
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1981]) ).

fof(f1981,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_7
    | spl0_14
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1980,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f1060,f1059,f1049,f1048,f1047,f9,f13,f10,f25,f27,f12,f28,f24,f518,f1176,f1175,f1196,f1195,f1216,f1280,f19,f1492,f1215,f26,f21,f1656,f1901,f11,f1906,f1909,f16,f1914,f1920,f1923,f1878,f1928,f1931,f1860,f1850,f31,f1818]) ).

fof(f1979,plain,
    ( ~ spl0_5
    | ~ spl0_7
    | spl0_13
    | spl0_14
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1978]) ).

fof(f1978,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_7
    | spl0_13
    | spl0_14
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1977,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f1060,f1059,f1049,f1048,f1047,f9,f13,f10,f25,f27,f12,f28,f24,f518,f1176,f1175,f1196,f1195,f1216,f1280,f19,f1492,f1215,f26,f21,f1656,f1901,f11,f1906,f1909,f16,f1914,f1920,f1923,f1878,f1928,f1931,f1860,f1850,f31,f1818]) ).

fof(f1977,plain,
    ( sk_c7 = multiply(sk_c2,sk_c7)
    | ~ spl0_5
    | spl0_13
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f1785,f1656]) ).

fof(f1976,plain,
    ( ~ spl0_5
    | ~ spl0_7
    | spl0_13
    | spl0_14
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1975]) ).

fof(f1975,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_7
    | spl0_13
    | spl0_14
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1786,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f1060,f1059,f1049,f1048,f1047,f9,f13,f10,f25,f27,f12,f28,f24,f518,f1176,f1175,f1196,f1195,f1216,f1280,f19,f1492,f1215,f26,f21,f1656,f1901,f11,f1906,f1909,f16,f1914,f1920,f1923,f1878,f1928,f1931,f1860,f1850,f31,f1818]) ).

fof(f1786,plain,
    ( sk_c7 = inverse(sk_c2)
    | ~ spl0_5
    | spl0_13
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f18,f16,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f9,f11,f13,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1174,f1185,f1183,f1173,f1212,f1202,f1223,f1225,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f19,f1326,f1642,f1643,f1641,f1648,f1717,f1733,f1723,f1721,f21,f26,f1785,f31]) ).

fof(f1974,plain,
    ( ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | spl0_14
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1973]) ).

fof(f1973,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | spl0_14
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1972,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f1060,f1059,f1049,f1048,f1047,f9,f13,f10,f25,f27,f12,f28,f24,f518,f1176,f1175,f1196,f1195,f1216,f1280,f19,f1492,f1215,f26,f21,f1656,f1901,f11,f1906,f1909,f16,f1914,f1920,f1923,f1878,f1928,f1931,f1860,f1850,f31,f1818]) ).

fof(f1972,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f1789,f1656]) ).

fof(f1789,plain,
    ( sk_c6 = multiply(sk_c7,sk_c5)
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f1721,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f16,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f908,f904,f903,f902,f901,f9,f11,f13,f10,f25,f27,f12,f28,f24,f1178,f1177,f1198,f1197,f1217,f1218,f19,f522,f26,f31,f21,f1787]) ).

fof(f1787,plain,
    ( sk_c6 = multiply(sk_c7,sk_c5)
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f16,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f908,f904,f903,f902,f901,f9,f11,f13,f10,f25,f27,f12,f28,f24,f1178,f1177,f1198,f1197,f1217,f1218,f19,f522,f26,f31,f21]) ).

fof(f1218,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(inverse(sk_c7)),multiply(sk_c5,X0))
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f1197]) ).

fof(f1217,plain,
    ( sk_c5 = multiply(inverse(inverse(inverse(sk_c7))),sk_c6)
    | ~ spl0_8 ),
    inference(superposition,[],[f60,f1197]) ).

fof(f1197,plain,
    ( sk_c6 = multiply(inverse(inverse(sk_c7)),sk_c5)
    | ~ spl0_8 ),
    inference(superposition,[],[f60,f1177]) ).

fof(f1198,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(inverse(sk_c7),multiply(sk_c6,X0))
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f1177]) ).

fof(f1178,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c5,X0))
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f522]) ).

fof(f901,plain,
    ( sk_c6 = multiply(sk_c7,sk_c5)
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f31,f29,f5,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f19,f21,f24,f26,f28,f8,f6,f4,f7,f18,f16,f14,f12,f22,f27,f25,f10,f20,f522,f9,f11,f13,f34,f23]) ).

fof(f902,plain,
    ( sk_c6 = multiply(sk_c7,sk_c5)
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f31,f29,f5,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f19,f24,f26,f28,f8,f6,f4,f7,f18,f16,f14,f12,f22,f27,f25,f10,f20,f522,f9,f11,f13,f34,f23,f901,f21]) ).

fof(f903,plain,
    ( sk_c6 = multiply(sk_c7,sk_c5)
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f31,f29,f5,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f24,f26,f28,f8,f6,f4,f7,f18,f16,f14,f12,f22,f27,f25,f10,f20,f522,f9,f11,f13,f34,f23,f901,f21,f902,f19]) ).

fof(f904,plain,
    ( sk_c6 = multiply(sk_c7,sk_c5)
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f31,f29,f5,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f24,f26,f28,f8,f6,f4,f7,f18,f16,f14,f12,f22,f27,f25,f10,f522,f9,f11,f13,f34,f23,f901,f21,f902,f19,f903,f20]) ).

fof(f908,plain,
    ( sk_c6 = multiply(sk_c7,sk_c5)
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f31,f29,f5,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f24,f26,f28,f8,f6,f4,f7,f18,f16,f14,f12,f522,f9,f11,f13,f34,f23,f901,f21,f902,f19,f903,f20,f904,f10,f25,f27,f22]) ).

fof(f1971,plain,
    ( ~ spl0_5
    | ~ spl0_7
    | spl0_13
    | spl0_14
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1970]) ).

fof(f1970,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_7
    | spl0_13
    | spl0_14
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1969,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f1060,f1059,f1049,f1048,f1047,f9,f13,f10,f25,f27,f12,f28,f24,f518,f1176,f1175,f1196,f1195,f1216,f1280,f19,f1492,f1215,f26,f21,f1656,f1901,f11,f1906,f1909,f16,f1914,f1920,f1923,f1878,f1928,f1931,f1860,f1850,f31,f1818]) ).

fof(f1969,plain,
    ( sk_c7 = multiply(sk_c2,sk_c7)
    | ~ spl0_5
    | spl0_13
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f1790,f1656]) ).

fof(f1790,plain,
    ( sk_c5 = multiply(sk_c2,sk_c7)
    | ~ spl0_5
    | spl0_13
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f18,f16,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f9,f11,f13,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1174,f1185,f1183,f1173,f1212,f1202,f1223,f1225,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f19,f1326,f1642,f1643,f1641,f1648,f1717,f1733,f26,f1785,f31,f1786,f21,f1721,f1723]) ).

fof(f1968,plain,
    ( ~ spl0_5
    | ~ spl0_7
    | spl0_14
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1967]) ).

fof(f1967,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_7
    | spl0_14
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1817,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f1060,f1059,f1049,f1048,f1047,f9,f13,f10,f25,f27,f12,f28,f24,f518,f1176,f1175,f1196,f1195,f1216,f1280,f19,f1492,f1215,f26,f21,f1656,f1901,f11,f1906,f1909,f16,f1914,f1920,f1923,f1878,f1928,f1931,f1860,f1850,f31,f1818]) ).

fof(f1966,plain,
    ( ~ spl0_5
    | ~ spl0_7
    | spl0_13
    | spl0_14
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1965]) ).

fof(f1965,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_7
    | spl0_13
    | spl0_14
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1733,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f1060,f1059,f1049,f1048,f1047,f9,f13,f10,f25,f27,f12,f28,f24,f518,f1176,f1175,f1196,f1195,f1216,f1280,f19,f1492,f1215,f26,f21,f1656,f1901,f11,f1906,f1909,f16,f1914,f1920,f1923,f1878,f1928,f1931,f1860,f1850,f31,f1818]) ).

fof(f1964,plain,
    ( ~ spl0_7
    | spl0_14
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1963]) ).

fof(f1963,plain,
    ( $false
    | ~ spl0_7
    | spl0_14
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1330,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f1060,f1059,f1049,f1048,f1047,f9,f13,f10,f25,f27,f12,f28,f24,f518,f1176,f1175,f1196,f1195,f1216,f1280,f19,f1492,f1215,f26,f21,f1656,f1901,f11,f1906,f1909,f16,f1914,f1920,f1923,f1878,f1928,f1931,f1860,f1850,f31,f1818]) ).

fof(f1962,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | spl0_14
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1961]) ).

fof(f1961,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | spl0_14
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1960,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f1060,f1059,f1049,f1048,f1047,f9,f13,f10,f25,f27,f12,f28,f24,f518,f1176,f1175,f1196,f1195,f1216,f1280,f19,f1492,f1215,f26,f21,f1656,f1901,f11,f1906,f1909,f16,f1914,f1920,f1923,f1878,f1928,f1931,f1860,f1850,f31,f1818]) ).

fof(f1960,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1332,f1244]) ).

fof(f1959,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | spl0_14
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1958]) ).

fof(f1958,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | spl0_14
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1335,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f1060,f1059,f1049,f1048,f1047,f9,f13,f10,f25,f27,f12,f28,f24,f518,f1176,f1175,f1196,f1195,f1216,f1280,f19,f1492,f1215,f26,f21,f1656,f1901,f11,f1906,f1909,f16,f1914,f1920,f1923,f1878,f1928,f1931,f1860,f1850,f31,f1818]) ).

fof(f1335,plain,
    ( sk_c6 = multiply(sk_c3,identity)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_16 ),
    inference(superposition,[],[f1233,f1330]) ).

fof(f1957,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | spl0_14
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1956]) ).

fof(f1956,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | spl0_14
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1338,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f1060,f1059,f1049,f1048,f1047,f9,f13,f10,f25,f27,f12,f28,f24,f518,f1176,f1175,f1196,f1195,f1216,f1280,f19,f1492,f1215,f26,f21,f1656,f1901,f11,f1906,f1909,f16,f1914,f1920,f1923,f1878,f1928,f1931,f1860,f1850,f31,f1818]) ).

fof(f1955,plain,
    ( ~ spl0_7
    | ~ spl0_8
    | spl0_14
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1954]) ).

fof(f1954,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_8
    | spl0_14
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1339,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f1060,f1059,f1049,f1048,f1047,f9,f13,f10,f25,f27,f12,f28,f24,f518,f1176,f1175,f1196,f1195,f1216,f1280,f19,f1492,f1215,f26,f21,f1656,f1901,f11,f1906,f1909,f16,f1914,f1920,f1923,f1878,f1928,f1931,f1860,f1850,f31,f1818]) ).

fof(f1339,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_8
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1334,f305]) ).

fof(f1334,plain,
    ( sk_c6 = multiply(inverse(inverse(sk_c7)),identity)
    | ~ spl0_8
    | ~ spl0_16 ),
    inference(superposition,[],[f1197,f1330]) ).

fof(f1953,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | spl0_14
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1952]) ).

fof(f1952,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | spl0_14
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1356,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f1060,f1059,f1049,f1048,f1047,f9,f13,f10,f25,f27,f12,f28,f24,f518,f1176,f1175,f1196,f1195,f1216,f1280,f19,f1492,f1215,f26,f21,f1656,f1901,f11,f1906,f1909,f16,f1914,f1920,f1923,f1878,f1928,f1931,f1860,f1850,f31,f1818]) ).

fof(f1356,plain,
    ( identity = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1340,f1330]) ).

fof(f1340,plain,
    ( sk_c5 = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_16 ),
    inference(superposition,[],[f518,f1338]) ).

fof(f1951,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | spl0_14
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1950]) ).

fof(f1950,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | spl0_14
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1358,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f1060,f1059,f1049,f1048,f1047,f9,f13,f10,f25,f27,f12,f28,f24,f518,f1176,f1175,f1196,f1195,f1216,f1280,f19,f1492,f1215,f26,f21,f1656,f1901,f11,f1906,f1909,f16,f1914,f1920,f1923,f1878,f1928,f1931,f1860,f1850,f31,f1818]) ).

fof(f1949,plain,
    ( ~ spl0_7
    | spl0_14
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1948]) ).

fof(f1948,plain,
    ( $false
    | ~ spl0_7
    | spl0_14
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f1060,f1059,f1049,f1048,f1047,f9,f13,f10,f25,f27,f12,f28,f24,f518,f1176,f1175,f1196,f1195,f1216,f1280,f19,f1492,f1215,f26,f21,f1656,f1901,f11,f1906,f1909,f16,f1914,f1920,f1923,f1878,f1928,f1931,f1860,f1850,f31,f1818]) ).

fof(f1947,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | spl0_13
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1946]) ).

fof(f1946,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | spl0_13
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1819,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f908,f904,f903,f902,f901,f9,f13,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1178,f1174,f1185,f1177,f1198,f1183,f1173,f1212,f1197,f1217,f1218,f1202,f1223,f1225,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1330,f1339,f1491,f1549,f1550,f1552,f19,f1326,f1642,f1643,f1641,f1648,f1717,f522,f26,f1785,f1786,f21,f1787,f1721,f1789,f1723,f1790,f1733,f11,f16,f31]) ).

fof(f1945,plain,
    ( ~ spl0_5
    | ~ spl0_8
    | spl0_13
    | ~ spl0_15
    | ~ spl0_16
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1944]) ).

fof(f1944,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_8
    | spl0_13
    | ~ spl0_15
    | ~ spl0_16
    | spl0_17 ),
    inference(global_subsumption,[],[f1653,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f908,f904,f903,f902,f901,f9,f13,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1178,f1174,f1185,f1177,f1198,f1183,f1173,f1212,f1197,f1217,f1218,f1202,f1223,f1225,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1330,f1339,f1491,f1549,f1550,f1552,f19,f1326,f1642,f1643,f1641,f1648,f1717,f522,f26,f1785,f1786,f21,f1787,f1721,f1789,f1723,f1790,f1733,f11,f16,f31]) ).

fof(f1943,plain,
    ( ~ spl0_5
    | ~ spl0_8
    | spl0_13
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1942]) ).

fof(f1942,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_8
    | spl0_13
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1841,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f908,f904,f903,f902,f901,f9,f13,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1178,f1174,f1185,f1177,f1198,f1183,f1173,f1212,f1197,f1217,f1218,f1202,f1223,f1225,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1330,f1339,f1491,f1549,f1550,f1552,f19,f1326,f1642,f1643,f1641,f1648,f1717,f522,f26,f1785,f1786,f21,f1787,f1721,f1789,f1723,f1790,f1733,f11,f16,f31]) ).

fof(f1841,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | ~ spl0_8
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f522,f1656]) ).

fof(f1941,plain,
    ( ~ spl0_5
    | ~ spl0_8
    | spl0_13
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1940]) ).

fof(f1940,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_8
    | spl0_13
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f908,f904,f903,f902,f901,f9,f13,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1178,f1174,f1185,f1177,f1198,f1183,f1173,f1212,f1197,f1217,f1218,f1202,f1223,f1225,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1330,f1339,f1491,f1549,f1550,f1552,f19,f1326,f1642,f1643,f1641,f1648,f1717,f522,f26,f1785,f1786,f21,f1787,f1721,f1789,f1723,f1790,f1733,f11,f16,f31]) ).

fof(f1939,plain,
    ( ~ spl0_5
    | ~ spl0_8
    | spl0_13
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1938]) ).

fof(f1938,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_8
    | spl0_13
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1850,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f908,f904,f903,f902,f901,f9,f13,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1178,f1174,f1185,f1177,f1198,f1183,f1173,f1212,f1197,f1217,f1218,f1202,f1223,f1225,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1330,f1339,f1491,f1549,f1550,f1552,f19,f1326,f1642,f1643,f1641,f1648,f1717,f522,f26,f1785,f31,f1786,f21,f1787,f1721,f1789,f1723,f1790,f1733,f11,f16]) ).

fof(f1937,plain,
    ( ~ spl0_5
    | ~ spl0_8
    | spl0_13
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1936]) ).

fof(f1936,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_8
    | spl0_13
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1855,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f908,f904,f903,f902,f901,f9,f13,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1178,f1174,f1185,f1177,f1198,f1183,f1173,f1212,f1197,f1217,f1218,f1202,f1223,f1225,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1330,f1339,f1491,f1549,f1550,f1552,f19,f1326,f1642,f1643,f1641,f1648,f1717,f522,f26,f1785,f31,f1786,f21,f1787,f1721,f1789,f1723,f1790,f1733,f11,f16]) ).

fof(f1855,plain,
    ( sk_c6 != multiply(sk_c4,sk_c7)
    | spl0_13
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f1276,f1656]) ).

fof(f1935,plain,
    ( ~ spl0_5
    | ~ spl0_8
    | spl0_13
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1934]) ).

fof(f1934,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_8
    | spl0_13
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1860,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f908,f904,f903,f902,f901,f9,f13,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1178,f1174,f1185,f1177,f1198,f1183,f1173,f1212,f1197,f1217,f1218,f1202,f1223,f1225,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1330,f1339,f1491,f1549,f1550,f1552,f19,f1326,f1642,f1643,f1641,f1648,f1717,f522,f26,f1785,f31,f1786,f21,f1787,f1721,f1789,f1723,f1790,f1733,f11,f16]) ).

fof(f1933,plain,
    ( ~ spl0_5
    | ~ spl0_8
    | spl0_13
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1932]) ).

fof(f1932,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_8
    | spl0_13
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1931,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f908,f904,f903,f902,f901,f9,f13,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1178,f1174,f1185,f1177,f1198,f1183,f1173,f1212,f1197,f1217,f1218,f1202,f1223,f1225,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1330,f1339,f1491,f1549,f1550,f1552,f19,f1326,f1642,f1643,f1641,f1648,f1717,f522,f26,f1785,f31,f1786,f21,f1787,f1721,f1789,f1723,f1790,f1733,f11,f16]) ).

fof(f1930,plain,
    ( ~ spl0_5
    | ~ spl0_8
    | spl0_13
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1929]) ).

fof(f1929,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_8
    | spl0_13
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1928,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f908,f904,f903,f902,f901,f9,f13,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1178,f1174,f1185,f1177,f1198,f1183,f1173,f1212,f1197,f1217,f1218,f1202,f1223,f1225,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1330,f1339,f1491,f1549,f1550,f1552,f19,f1326,f1642,f1643,f1641,f1648,f1717,f522,f26,f1785,f31,f1786,f21,f1787,f1721,f1789,f1723,f1790,f1733,f11,f16]) ).

fof(f1927,plain,
    ( ~ spl0_5
    | ~ spl0_8
    | spl0_13
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1926]) ).

fof(f1926,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_8
    | spl0_13
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1878,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f908,f904,f903,f902,f901,f9,f13,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1178,f1174,f1185,f1177,f1198,f1183,f1173,f1212,f1197,f1217,f1218,f1202,f1223,f1225,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1330,f1339,f1491,f1549,f1550,f1552,f19,f1326,f1642,f1643,f1641,f1648,f1717,f522,f26,f1785,f31,f1786,f21,f1787,f1721,f1789,f1723,f1790,f1733,f11,f16]) ).

fof(f1925,plain,
    ( ~ spl0_5
    | ~ spl0_8
    | spl0_13
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1924]) ).

fof(f1924,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_8
    | spl0_13
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1923,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f908,f904,f903,f902,f901,f9,f13,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1178,f1174,f1185,f1177,f1198,f1183,f1173,f1212,f1197,f1217,f1218,f1202,f1223,f1225,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1330,f1339,f1491,f1549,f1550,f1552,f19,f1326,f1642,f1643,f1641,f1648,f1717,f522,f26,f1785,f31,f1786,f21,f1787,f1721,f1789,f1723,f1790,f1733,f11,f16]) ).

fof(f1922,plain,
    ( ~ spl0_5
    | ~ spl0_8
    | spl0_13
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1921]) ).

fof(f1921,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_8
    | spl0_13
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1920,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f908,f904,f903,f902,f901,f9,f13,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1178,f1174,f1185,f1177,f1198,f1183,f1173,f1212,f1197,f1217,f1218,f1202,f1223,f1225,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1330,f1339,f1491,f1549,f1550,f1552,f19,f1326,f1642,f1643,f1641,f1648,f1717,f522,f26,f1785,f31,f1786,f21,f1787,f1721,f1789,f1723,f1790,f1733,f11,f16]) ).

fof(f1916,plain,
    ( ~ spl0_5
    | ~ spl0_8
    | spl0_13
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1915]) ).

fof(f1915,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_8
    | spl0_13
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1914,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f908,f904,f903,f902,f901,f9,f13,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1178,f1174,f1185,f1177,f1198,f1183,f1173,f1212,f1197,f1217,f1218,f1202,f1223,f1225,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1330,f1339,f1491,f1549,f1550,f1552,f19,f1326,f1642,f1643,f1641,f1648,f1717,f522,f26,f1785,f31,f1786,f21,f1787,f1721,f1789,f1723,f1790,f1733,f11,f16]) ).

fof(f1913,plain,
    ( ~ spl0_5
    | ~ spl0_8
    | spl0_13
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1912]) ).

fof(f1912,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_8
    | spl0_13
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f18,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f908,f904,f903,f902,f901,f9,f13,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1178,f1174,f1185,f1177,f1198,f1183,f1173,f1212,f1197,f1217,f1218,f1202,f1223,f1225,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1330,f1339,f1491,f1549,f1550,f1552,f19,f1326,f1642,f1643,f1641,f1648,f1717,f522,f26,f1785,f31,f1786,f21,f1787,f1721,f1789,f1723,f1790,f1733,f11,f16]) ).

fof(f1911,plain,
    ( ~ spl0_5
    | ~ spl0_8
    | spl0_13
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1910]) ).

fof(f1910,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_8
    | spl0_13
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1909,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f18,f16,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f908,f904,f903,f902,f901,f9,f13,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1178,f1174,f1185,f1177,f1198,f1183,f1173,f1212,f1197,f1217,f1218,f1202,f1223,f1225,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1330,f1339,f1491,f1549,f1550,f1552,f19,f1326,f1642,f1643,f1641,f1648,f1717,f522,f26,f1785,f31,f1786,f21,f1787,f1721,f1789,f1723,f1790,f1733,f11]) ).

fof(f1908,plain,
    ( ~ spl0_5
    | ~ spl0_8
    | spl0_13
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1907]) ).

fof(f1907,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_8
    | spl0_13
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1906,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f18,f16,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f908,f904,f903,f902,f901,f9,f13,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1178,f1174,f1185,f1177,f1198,f1183,f1173,f1212,f1197,f1217,f1218,f1202,f1223,f1225,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1330,f1339,f1491,f1549,f1550,f1552,f19,f1326,f1642,f1643,f1641,f1648,f1717,f522,f26,f1785,f31,f1786,f21,f1787,f1721,f1789,f1723,f1790,f1733,f11]) ).

fof(f1905,plain,
    ( ~ spl0_5
    | ~ spl0_8
    | spl0_13
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1904]) ).

fof(f1904,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_8
    | spl0_13
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f18,f16,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f908,f904,f903,f902,f901,f9,f13,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1178,f1174,f1185,f1177,f1198,f1183,f1173,f1212,f1197,f1217,f1218,f1202,f1223,f1225,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1330,f1339,f1491,f1549,f1550,f1552,f19,f1326,f1642,f1643,f1641,f1648,f1717,f522,f26,f1785,f31,f1786,f21,f1787,f1721,f1789,f1723,f1790,f1733,f11]) ).

fof(f1903,plain,
    ( ~ spl0_5
    | ~ spl0_8
    | spl0_13
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1902]) ).

fof(f1902,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_8
    | spl0_13
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1901,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f18,f16,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f908,f904,f903,f902,f901,f9,f11,f13,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1178,f1174,f1185,f1177,f1198,f1183,f1173,f1212,f1197,f1217,f1218,f1202,f1223,f1225,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f1330,f1339,f1491,f1549,f1550,f1552,f19,f1326,f1642,f1643,f1641,f1648,f1717,f522,f26,f1785,f31,f1786,f21,f1787,f1721,f1789,f1723,f1790,f1733]) ).

fof(f1900,plain,
    ( spl0_4
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1899]) ).

fof(f1899,plain,
    ( $false
    | spl0_4
    | spl0_15 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f16,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f9,f11,f13,f10,f25,f27,f12,f28,f24,f1325,f19,f26,f31,f21,f179]) ).

fof(f179,plain,
    ( sk_c7 != inverse(sk_c2)
    | spl0_4 ),
    inference(avatar_component_clause,[],[f178]) ).

fof(f1325,plain,
    ( sk_c5 != multiply(sk_c6,sk_c7)
    | spl0_15 ),
    inference(avatar_component_clause,[],[f1324]) ).

fof(f1898,plain,
    ( ~ spl0_14
    | spl0_15
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1897]) ).

fof(f1897,plain,
    ( $false
    | ~ spl0_14
    | spl0_15
    | ~ spl0_18 ),
    inference(subsumption_resolution,[],[f1896,f1656]) ).

fof(f1896,plain,
    ( sk_c7 != sk_c5
    | ~ spl0_14
    | spl0_15 ),
    inference(forward_demodulation,[],[f1895,f1]) ).

fof(f1895,plain,
    ( sk_c5 != multiply(identity,sk_c7)
    | ~ spl0_14
    | spl0_15 ),
    inference(forward_demodulation,[],[f1325,f1281]) ).

fof(f1884,plain,
    ( ~ spl0_3
    | spl0_4
    | ~ spl0_5
    | ~ spl0_14
    | spl0_15
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1883]) ).

fof(f1883,plain,
    ( $false
    | ~ spl0_3
    | spl0_4
    | ~ spl0_5
    | ~ spl0_14
    | spl0_15
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1882,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f16,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f9,f11,f13,f10,f25,f27,f12,f28,f24,f1325,f19,f179,f26,f31,f21]) ).

fof(f1882,plain,
    ( sk_c7 = inverse(sk_c2)
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_14
    | ~ spl0_18 ),
    inference(subsumption_resolution,[],[f1881,f1192]) ).

fof(f1881,plain,
    ( identity = sk_c7
    | sk_c7 = inverse(sk_c2)
    | ~ spl0_5
    | ~ spl0_14
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f1880,f1281]) ).

fof(f1880,plain,
    ( sk_c7 = sk_c6
    | sk_c7 = inverse(sk_c2)
    | ~ spl0_5
    | ~ spl0_14
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f1879,f1]) ).

fof(f1879,plain,
    ( sk_c6 = multiply(identity,sk_c7)
    | sk_c7 = inverse(sk_c2)
    | ~ spl0_5
    | ~ spl0_14
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f1878,f1530]) ).

fof(f1875,plain,
    ( ~ spl0_3
    | spl0_4
    | ~ spl0_5
    | ~ spl0_14
    | spl0_15
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1874]) ).

fof(f1874,plain,
    ( $false
    | ~ spl0_3
    | spl0_4
    | ~ spl0_5
    | ~ spl0_14
    | spl0_15
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1873,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f16,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f9,f11,f13,f10,f25,f27,f12,f28,f24,f1325,f19,f179,f26,f31,f21]) ).

fof(f1873,plain,
    ( identity = multiply(sk_c7,sk_c7)
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_14
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f1872,f1281]) ).

fof(f1872,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_14
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f1871,f1656]) ).

fof(f1871,plain,
    ( sk_c6 = multiply(sk_c7,sk_c5)
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_14
    | ~ spl0_18 ),
    inference(subsumption_resolution,[],[f1870,f1192]) ).

fof(f1870,plain,
    ( identity = sk_c7
    | sk_c6 = multiply(sk_c7,sk_c5)
    | ~ spl0_5
    | ~ spl0_14
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f1869,f1281]) ).

fof(f1869,plain,
    ( sk_c7 = sk_c6
    | sk_c6 = multiply(sk_c7,sk_c5)
    | ~ spl0_5
    | ~ spl0_14
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f1868,f1]) ).

fof(f1868,plain,
    ( sk_c6 = multiply(identity,sk_c7)
    | sk_c6 = multiply(sk_c7,sk_c5)
    | ~ spl0_5
    | ~ spl0_14
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f1867,f1530]) ).

fof(f1866,plain,
    ( ~ spl0_3
    | spl0_4
    | ~ spl0_5
    | ~ spl0_14
    | spl0_15
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1865]) ).

fof(f1865,plain,
    ( $false
    | ~ spl0_3
    | spl0_4
    | ~ spl0_5
    | ~ spl0_14
    | spl0_15
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1864,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f16,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f9,f11,f13,f10,f25,f27,f12,f28,f24,f1325,f19,f179,f26,f31,f21]) ).

fof(f1864,plain,
    ( sk_c7 = multiply(sk_c2,sk_c7)
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_14
    | ~ spl0_18 ),
    inference(subsumption_resolution,[],[f1863,f1192]) ).

fof(f1863,plain,
    ( identity = sk_c7
    | sk_c7 = multiply(sk_c2,sk_c7)
    | ~ spl0_5
    | ~ spl0_14
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f1862,f1281]) ).

fof(f1862,plain,
    ( sk_c7 = sk_c6
    | sk_c7 = multiply(sk_c2,sk_c7)
    | ~ spl0_5
    | ~ spl0_14
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f1861,f1]) ).

fof(f1861,plain,
    ( sk_c6 = multiply(identity,sk_c7)
    | sk_c7 = multiply(sk_c2,sk_c7)
    | ~ spl0_5
    | ~ spl0_14
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f1860,f1530]) ).

fof(f1854,plain,
    ( ~ spl0_1
    | spl0_4
    | ~ spl0_14
    | spl0_15
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1853]) ).

fof(f1853,plain,
    ( $false
    | ~ spl0_1
    | spl0_4
    | ~ spl0_14
    | spl0_15
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1852,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f16,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f9,f11,f13,f10,f25,f27,f12,f28,f24,f1325,f19,f179,f26,f31,f21]) ).

fof(f1852,plain,
    ( sk_c7 = sk_c3
    | sk_c7 = multiply(sk_c2,sk_c7)
    | ~ spl0_1
    | ~ spl0_14
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f1851,f1230]) ).

fof(f1851,plain,
    ( sk_c7 = multiply(sk_c3,identity)
    | sk_c7 = multiply(sk_c2,sk_c7)
    | ~ spl0_14
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f1850,f1281]) ).

fof(f1849,plain,
    ( spl0_4
    | ~ spl0_14
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1848]) ).

fof(f1848,plain,
    ( $false
    | spl0_4
    | ~ spl0_14
    | spl0_15 ),
    inference(global_subsumption,[],[f1847,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f16,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f9,f11,f13,f10,f25,f27,f12,f28,f24,f1325,f19,f179,f26,f31,f21]) ).

fof(f1846,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | spl0_13
    | ~ spl0_15
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1845]) ).

fof(f1845,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | spl0_13
    | ~ spl0_15
    | spl0_16 ),
    inference(subsumption_resolution,[],[f1844,f1329]) ).

fof(f1813,plain,
    ( spl0_18
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f1526,f1279,f517,f36,f1655]) ).

fof(f1784,plain,
    ( spl0_4
    | ~ spl0_5
    | ~ spl0_8
    | spl0_13
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1783]) ).

fof(f1783,plain,
    ( $false
    | spl0_4
    | ~ spl0_5
    | ~ spl0_8
    | spl0_13
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f522,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f18,f16,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f9,f11,f13,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1174,f1185,f1183,f1173,f1212,f1202,f1223,f1225,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f19,f1326,f1642,f1643,f1641,f1648,f1717,f179,f1733,f1723,f1721,f21,f31,f26]) ).

fof(f1782,plain,
    ( ~ spl0_1
    | spl0_4
    | ~ spl0_5
    | ~ spl0_8
    | spl0_13
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1781]) ).

fof(f1781,plain,
    ( $false
    | ~ spl0_1
    | spl0_4
    | ~ spl0_5
    | ~ spl0_8
    | spl0_13
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f1232,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f18,f16,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f9,f11,f13,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1174,f1185,f1183,f1173,f1212,f1202,f1223,f1225,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f19,f1326,f1642,f1643,f1641,f1648,f1717,f179,f1733,f1723,f1721,f21,f31,f26]) ).

fof(f1780,plain,
    ( spl0_4
    | ~ spl0_5
    | spl0_13
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1779]) ).

fof(f1779,plain,
    ( $false
    | spl0_4
    | ~ spl0_5
    | spl0_13
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1656,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f18,f16,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f9,f11,f13,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1174,f1185,f1183,f1173,f1212,f1202,f1223,f1225,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f19,f1326,f1642,f1643,f1641,f1648,f1717,f179,f1733,f1723,f1721,f21,f31,f26]) ).

fof(f1778,plain,
    ( spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | spl0_13
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1777]) ).

fof(f1777,plain,
    ( $false
    | spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | spl0_13
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f1531,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f18,f16,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f9,f11,f13,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1174,f1185,f1183,f1173,f1212,f1202,f1223,f1225,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f19,f1326,f1642,f1643,f1641,f1648,f1717,f179,f1733,f1723,f1721,f21,f31,f26]) ).

fof(f1776,plain,
    ( ~ spl0_1
    | spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | spl0_13
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1775]) ).

fof(f1775,plain,
    ( $false
    | ~ spl0_1
    | spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | spl0_13
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f1526,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f18,f16,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f9,f11,f13,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1174,f1185,f1183,f1173,f1212,f1202,f1223,f1225,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f19,f1326,f1642,f1643,f1641,f1648,f1717,f179,f1733,f1723,f1721,f21,f31,f26]) ).

fof(f1774,plain,
    ( ~ spl0_1
    | spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | spl0_13
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1773]) ).

fof(f1773,plain,
    ( $false
    | ~ spl0_1
    | spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | spl0_13
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f1730,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f18,f16,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f9,f11,f13,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1174,f1185,f1183,f1173,f1212,f1202,f1223,f1225,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f19,f1326,f1642,f1643,f1641,f1648,f1717,f179,f1733,f1723,f1721,f21,f31,f26]) ).

fof(f1772,plain,
    ( spl0_4
    | ~ spl0_5
    | spl0_13
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1771]) ).

fof(f1771,plain,
    ( $false
    | spl0_4
    | ~ spl0_5
    | spl0_13
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f18,f16,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f9,f11,f13,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1174,f1185,f1183,f1173,f1212,f1202,f1223,f1225,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f19,f1326,f1642,f1643,f1641,f1648,f1717,f179,f1733,f1723,f1721,f21,f31,f26]) ).

fof(f1770,plain,
    ( spl0_4
    | ~ spl0_5
    | spl0_13
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1769]) ).

fof(f1769,plain,
    ( $false
    | spl0_4
    | ~ spl0_5
    | spl0_13
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f18,f16,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f9,f11,f13,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1174,f1185,f1183,f1173,f1212,f1202,f1223,f1225,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f19,f1326,f1642,f1643,f1641,f1648,f26,f1717,f179,f1733,f1723,f1721,f21,f31]) ).

fof(f1768,plain,
    ( spl0_4
    | ~ spl0_5
    | spl0_13
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1767]) ).

fof(f1767,plain,
    ( $false
    | spl0_4
    | ~ spl0_5
    | spl0_13
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f18,f16,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f9,f11,f13,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1174,f1185,f1183,f1173,f1212,f1202,f1223,f1225,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f19,f1326,f1642,f1643,f1641,f1648,f26,f1717,f31,f179,f1733,f1723,f1721,f21]) ).

fof(f1766,plain,
    ( spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | spl0_13
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1765]) ).

fof(f1765,plain,
    ( $false
    | spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | spl0_13
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f1697,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f18,f16,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f9,f11,f13,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1174,f1185,f1183,f1173,f1212,f1202,f1223,f1225,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f19,f1326,f1642,f1643,f1641,f1648,f26,f1717,f31,f21,f179,f1733,f1723,f1721]) ).

fof(f1764,plain,
    ( spl0_4
    | ~ spl0_5
    | spl0_13
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1763]) ).

fof(f1763,plain,
    ( $false
    | spl0_4
    | ~ spl0_5
    | spl0_13
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f18,f16,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f9,f11,f13,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1174,f1185,f1183,f1173,f1212,f1202,f1223,f1225,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f19,f1326,f1642,f1643,f1641,f1648,f26,f1717,f31,f21,f179,f1733,f1723,f1721]) ).

fof(f1762,plain,
    ( spl0_4
    | ~ spl0_5
    | spl0_13
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1761]) ).

fof(f1761,plain,
    ( $false
    | spl0_4
    | ~ spl0_5
    | spl0_13
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f18,f16,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f9,f11,f13,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1174,f1185,f1183,f1173,f1212,f1202,f1223,f1225,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f19,f1326,f1642,f1643,f1641,f1648,f26,f1717,f31,f21,f1721,f179,f1733,f1723]) ).

fof(f1760,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_4
    | ~ spl0_5
    | spl0_13
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1759]) ).

fof(f1759,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_4
    | ~ spl0_5
    | spl0_13
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f1472,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f18,f16,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f9,f11,f13,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1174,f1185,f1183,f1173,f1212,f1202,f1223,f1225,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f19,f1326,f1642,f1643,f1641,f1648,f26,f1717,f31,f21,f1721,f1723,f179,f1733]) ).

fof(f1758,plain,
    ( spl0_4
    | ~ spl0_5
    | spl0_13
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1757]) ).

fof(f1757,plain,
    ( $false
    | spl0_4
    | ~ spl0_5
    | spl0_13
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f18,f16,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f9,f11,f13,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1174,f1185,f1183,f1173,f1212,f1202,f1223,f1225,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f19,f1326,f1642,f1643,f1641,f1648,f26,f1717,f31,f21,f1721,f1723,f179,f1733]) ).

fof(f1756,plain,
    ( spl0_4
    | ~ spl0_5
    | spl0_13
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1755]) ).

fof(f1755,plain,
    ( $false
    | spl0_4
    | ~ spl0_5
    | spl0_13
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f18,f16,f14,f23,f20,f22,f4,f6,f8,f5,f7,f34,f9,f11,f13,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1174,f1185,f1183,f1173,f1212,f1202,f1223,f1225,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f19,f1326,f1642,f1643,f1641,f1648,f26,f1717,f31,f21,f1721,f1723,f1733,f179]) ).

fof(f1754,plain,
    ( spl0_4
    | ~ spl0_5
    | spl0_8
    | spl0_13
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1753]) ).

fof(f1753,plain,
    ( $false
    | spl0_4
    | ~ spl0_5
    | spl0_8
    | spl0_13
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f179,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f622,f629,f18,f632,f16,f14,f734,f801,f23,f20,f22,f4,f6,f8,f5,f7,f34,f9,f11,f13,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1174,f1185,f1183,f1173,f1212,f1202,f1223,f1225,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f633,f630,f1546,f19,f1633,f620,f631,f634,f1326,f1642,f1643,f1641,f1648,f26,f1716,f1717,f31,f1718,f21,f1719,f1721,f1722,f1723,f1724,f1733,f1740,f1743,f1746,f621,f523]) ).

fof(f1752,plain,
    ( ~ spl0_5
    | spl0_8
    | spl0_13
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1751]) ).

fof(f1751,plain,
    ( $false
    | ~ spl0_5
    | spl0_8
    | spl0_13
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f622,f629,f18,f632,f16,f14,f734,f801,f23,f20,f22,f4,f6,f8,f5,f7,f34,f9,f11,f13,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1174,f1185,f1183,f1173,f1212,f1202,f1223,f1225,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f633,f630,f1546,f19,f1633,f620,f631,f634,f1326,f1642,f1643,f1641,f1648,f26,f1716,f1717,f31,f1718,f21,f1719,f1721,f1722,f1723,f1724,f1733,f1740,f1743,f1746,f621,f523]) ).

fof(f1750,plain,
    ( ~ spl0_5
    | spl0_8
    | spl0_13
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1749]) ).

fof(f1749,plain,
    ( $false
    | ~ spl0_5
    | spl0_8
    | spl0_13
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f622,f629,f18,f632,f16,f14,f734,f801,f23,f20,f22,f4,f6,f8,f5,f7,f34,f9,f11,f13,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1174,f1185,f1183,f1173,f1212,f1202,f1223,f1225,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f633,f630,f1546,f19,f1633,f523,f620,f631,f634,f1326,f1642,f1643,f1641,f1648,f26,f1716,f1717,f31,f1718,f21,f1719,f1721,f1722,f1723,f1724,f1733,f1740,f1743,f1746,f621]) ).

fof(f1748,plain,
    ( ~ spl0_5
    | spl0_8
    | spl0_13
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1747]) ).

fof(f1747,plain,
    ( $false
    | ~ spl0_5
    | spl0_8
    | spl0_13
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f622,f629,f18,f632,f16,f14,f734,f801,f23,f20,f22,f4,f6,f8,f5,f7,f34,f9,f11,f13,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1174,f1185,f1183,f1173,f1212,f1202,f1223,f1225,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f633,f630,f621,f1546,f19,f1633,f523,f620,f631,f634,f1326,f1642,f1643,f1641,f1648,f26,f1716,f1717,f31,f1718,f21,f1719,f1721,f1722,f1723,f1724,f1733,f1740,f1743,f1746]) ).

fof(f1745,plain,
    ( ~ spl0_5
    | spl0_8
    | spl0_13
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1744]) ).

fof(f1744,plain,
    ( $false
    | ~ spl0_5
    | spl0_8
    | spl0_13
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f622,f629,f18,f632,f16,f14,f734,f801,f23,f20,f22,f4,f6,f8,f5,f7,f34,f9,f11,f13,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1174,f1185,f1183,f1173,f1212,f1202,f1223,f1225,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f633,f630,f621,f1546,f19,f1633,f523,f620,f631,f634,f1326,f1642,f1643,f1641,f1648,f26,f1716,f1717,f31,f1718,f21,f1719,f1721,f1722,f1723,f1724,f1733,f1740,f1743]) ).

fof(f1742,plain,
    ( ~ spl0_5
    | spl0_8
    | spl0_13
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1741]) ).

fof(f1741,plain,
    ( $false
    | ~ spl0_5
    | spl0_8
    | spl0_13
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f622,f629,f18,f632,f16,f14,f734,f801,f23,f20,f22,f4,f6,f8,f5,f7,f34,f9,f11,f13,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1174,f1185,f1183,f1173,f1212,f1202,f1223,f1225,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f633,f630,f621,f1546,f19,f1633,f523,f620,f631,f634,f1326,f1642,f1643,f1641,f1648,f26,f1716,f1717,f31,f1718,f21,f1719,f1721,f1722,f1723,f1724,f1733,f1740]) ).

fof(f1739,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | spl0_8
    | spl0_13
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1738]) ).

fof(f1738,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | spl0_8
    | spl0_13
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f1547,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f622,f629,f18,f632,f16,f14,f734,f801,f23,f20,f22,f4,f6,f8,f5,f7,f34,f9,f11,f13,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1174,f1185,f1183,f1173,f1212,f1202,f1223,f1225,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f633,f630,f621,f1546,f19,f1633,f523,f620,f631,f634,f1326,f1642,f1643,f1641,f1648,f26,f1716,f1717,f31,f1718,f21,f1719,f1721,f1722,f1723,f1724,f1733]) ).

fof(f1737,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | spl0_8
    | spl0_13
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1736]) ).

fof(f1736,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | spl0_8
    | spl0_13
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f1585,f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f622,f629,f18,f632,f16,f14,f734,f801,f23,f20,f22,f4,f6,f8,f5,f7,f34,f9,f11,f13,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1174,f1185,f1183,f1173,f1212,f1202,f1223,f1225,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f633,f630,f621,f1546,f19,f1633,f523,f620,f631,f634,f1326,f1642,f1643,f1641,f1648,f26,f1716,f1717,f31,f1718,f21,f1719,f1721,f1722,f1723,f1724,f1733]) ).

fof(f1585,plain,
    ( sk_c7 != sk_c6
    | sk_c7 != inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_3
    | spl0_8 ),
    inference(superposition,[],[f170,f1547]) ).

fof(f1735,plain,
    ( ~ spl0_5
    | spl0_8
    | spl0_13
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1734]) ).

fof(f1734,plain,
    ( $false
    | ~ spl0_5
    | spl0_8
    | spl0_13
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f500,f501,f502,f503,f515,f513,f550,f552,f622,f629,f18,f632,f16,f14,f734,f801,f23,f20,f22,f4,f6,f8,f5,f7,f34,f9,f11,f13,f10,f25,f27,f1161,f12,f1162,f28,f24,f184,f1171,f1172,f1174,f1185,f1183,f1173,f1212,f1202,f1223,f1225,f1204,f1297,f1298,f1300,f1301,f1293,f1308,f1309,f1294,f1305,f1295,f633,f630,f621,f1546,f19,f1633,f523,f620,f631,f634,f1326,f1642,f1643,f1641,f1648,f26,f1716,f1717,f31,f1718,f21,f1719,f1721,f1722,f1723,f1724,f1733]) ).

fof(f1732,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_14
    | spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1731]) ).

fof(f1731,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_14
    | spl0_18 ),
    inference(subsumption_resolution,[],[f1730,f1657]) ).

fof(f1729,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_14
    | spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1728]) ).

fof(f1728,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_14
    | spl0_18 ),
    inference(subsumption_resolution,[],[f1526,f1657]) ).

fof(f1727,plain,
    ( ~ spl0_7
    | ~ spl0_14
    | spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1726]) ).

fof(f1726,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_14
    | spl0_18 ),
    inference(subsumption_resolution,[],[f1531,f1657]) ).

fof(f1714,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_13
    | ~ spl0_15
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1713]) ).

fof(f1713,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_13
    | ~ spl0_15
    | spl0_16 ),
    inference(subsumption_resolution,[],[f1712,f1329]) ).

fof(f1710,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_13
    | spl0_14
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1709]) ).

fof(f1709,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_13
    | spl0_14
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f1708,f1192]) ).

fof(f1696,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_15
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1695]) ).

fof(f1695,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_15
    | spl0_16 ),
    inference(subsumption_resolution,[],[f1694,f1192]) ).

fof(f1691,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | spl0_8
    | ~ spl0_13
    | ~ spl0_15
    | spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1690]) ).

fof(f1690,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | spl0_8
    | ~ spl0_13
    | ~ spl0_15
    | spl0_18 ),
    inference(subsumption_resolution,[],[f1689,f1657]) ).

fof(f1687,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | spl0_8
    | ~ spl0_13
    | ~ spl0_15
    | spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1686]) ).

fof(f1686,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | spl0_8
    | ~ spl0_13
    | ~ spl0_15
    | spl0_18 ),
    inference(subsumption_resolution,[],[f1685,f1657]) ).

fof(f1681,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | spl0_8
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1680]) ).

fof(f1680,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | spl0_8
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f1679,f1192]) ).

fof(f1678,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_7
    | spl0_8
    | ~ spl0_13
    | ~ spl0_15
    | spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1677]) ).

fof(f1677,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_7
    | spl0_8
    | ~ spl0_13
    | ~ spl0_15
    | spl0_18 ),
    inference(subsumption_resolution,[],[f1676,f1657]) ).

fof(f1658,plain,
    ( ~ spl0_17
    | ~ spl0_18
    | ~ spl0_3
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f1640,f1324,f169,f1655,f1651]) ).

fof(f1639,plain,
    ( spl0_15
    | spl0_8 ),
    inference(avatar_split_clause,[],[f634,f521,f1324]) ).

fof(f1638,plain,
    ( spl0_15
    | spl0_8 ),
    inference(avatar_split_clause,[],[f631,f521,f1324]) ).

fof(f1637,plain,
    ( spl0_15
    | ~ spl0_1
    | ~ spl0_4
    | spl0_8 ),
    inference(avatar_split_clause,[],[f628,f521,f178,f36,f1324]) ).

fof(f1636,plain,
    ( spl0_15
    | spl0_8 ),
    inference(avatar_split_clause,[],[f620,f521,f1324]) ).

fof(f1632,plain,
    ( spl0_8
    | spl0_15
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1631]) ).

fof(f1631,plain,
    ( $false
    | spl0_8
    | spl0_15
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f1630,f1,f2,f15,f3,f33,f31,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f523,f620,f622,f629,f631,f18,f632,f16,f14,f634,f734,f801,f23,f21,f19,f20,f22,f4,f6,f8,f5,f7,f34,f9,f11,f13,f10,f25,f27,f12,f28,f26,f24,f1325,f633,f630,f621,f1546]) ).

fof(f1630,plain,
    ( identity != multiply(sk_c6,sk_c7)
    | spl0_15
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1325,f1330]) ).

fof(f1629,plain,
    ( ~ spl0_1
    | spl0_8
    | spl0_15
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1628]) ).

fof(f1628,plain,
    ( $false
    | ~ spl0_1
    | spl0_8
    | spl0_15
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f1627,f1,f2,f15,f3,f33,f31,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f523,f620,f622,f629,f631,f18,f632,f16,f14,f634,f734,f801,f23,f21,f19,f20,f22,f4,f6,f8,f5,f7,f34,f9,f11,f13,f10,f25,f27,f12,f28,f26,f24,f1325,f633,f630,f621,f1546]) ).

fof(f1627,plain,
    ( identity = multiply(sk_c6,sk_c7)
    | ~ spl0_1
    | spl0_8
    | ~ spl0_16 ),
    inference(subsumption_resolution,[],[f1502,f1512]) ).

fof(f1512,plain,
    ( sk_c7 != sk_c6
    | ~ spl0_1
    | spl0_8
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1511,f1244]) ).

fof(f1511,plain,
    ( sk_c6 != multiply(sk_c7,identity)
    | spl0_8
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f523,f1330]) ).

fof(f1626,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_8
    | spl0_14
    | spl0_15
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1625]) ).

fof(f1625,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_8
    | spl0_14
    | spl0_15
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f1624,f1,f2,f15,f3,f33,f31,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f523,f620,f622,f629,f631,f18,f632,f16,f14,f634,f734,f801,f23,f21,f19,f20,f22,f4,f6,f8,f5,f7,f34,f9,f11,f13,f10,f25,f27,f12,f28,f26,f24,f1325,f633,f630,f621,f1546]) ).

fof(f1623,plain,
    ( spl0_8
    | spl0_15
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1622]) ).

fof(f1622,plain,
    ( $false
    | spl0_8
    | spl0_15
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f1507,f1,f2,f15,f3,f33,f31,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f523,f620,f622,f629,f631,f18,f632,f16,f14,f634,f734,f801,f23,f21,f19,f20,f22,f4,f6,f8,f5,f7,f34,f9,f11,f13,f10,f25,f27,f12,f28,f26,f24,f1325,f633,f630,f621,f1546]) ).

fof(f1507,plain,
    ( identity = multiply(sk_c6,sk_c7)
    | spl0_8
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f634,f1330]) ).

fof(f1621,plain,
    ( spl0_8
    | spl0_15
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1620]) ).

fof(f1620,plain,
    ( $false
    | spl0_8
    | spl0_15
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f1508,f1,f2,f15,f3,f33,f31,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f523,f620,f622,f629,f631,f18,f632,f16,f14,f634,f734,f801,f23,f21,f19,f20,f22,f4,f6,f8,f5,f7,f34,f9,f11,f13,f10,f25,f27,f12,f28,f26,f24,f1325,f633,f630,f621,f1546]) ).

fof(f1508,plain,
    ( identity = multiply(sk_c6,sk_c7)
    | spl0_8
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f631,f1330]) ).

fof(f1619,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | spl0_8
    | spl0_15
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1618]) ).

fof(f1618,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | spl0_8
    | spl0_15
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f1509,f1,f2,f15,f3,f33,f31,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f523,f620,f622,f629,f631,f18,f632,f16,f14,f634,f734,f801,f23,f21,f19,f20,f22,f4,f6,f8,f5,f7,f34,f9,f11,f13,f10,f25,f27,f12,f28,f26,f24,f1325,f633,f630,f621,f1546]) ).

fof(f1509,plain,
    ( identity = multiply(sk_c6,sk_c7)
    | ~ spl0_1
    | ~ spl0_4
    | spl0_8
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f628,f1330]) ).

fof(f1617,plain,
    ( spl0_8
    | spl0_15
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1616]) ).

fof(f1616,plain,
    ( $false
    | spl0_8
    | spl0_15
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f1510,f1,f2,f15,f3,f33,f31,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f523,f620,f622,f629,f631,f18,f632,f16,f14,f634,f734,f801,f23,f21,f19,f20,f22,f4,f6,f8,f5,f7,f34,f9,f11,f13,f10,f25,f27,f12,f28,f26,f24,f1325,f633,f630,f621,f1546]) ).

fof(f1510,plain,
    ( identity = multiply(sk_c6,sk_c7)
    | spl0_8
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f620,f1330]) ).

fof(f1609,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | spl0_8
    | ~ spl0_13
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1608]) ).

fof(f1608,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | spl0_8
    | ~ spl0_13
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(subsumption_resolution,[],[f1607,f1192]) ).

fof(f1607,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_5
    | spl0_8
    | ~ spl0_13
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1599,f1558]) ).

fof(f1599,plain,
    ( sk_c7 = multiply(sk_c6,sk_c6)
    | ~ spl0_1
    | spl0_8
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(superposition,[],[f1552,f1547]) ).

fof(f1534,plain,
    ( ~ spl0_3
    | ~ spl0_7
    | ~ spl0_14
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1533]) ).

fof(f1533,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_14
    | ~ spl0_16 ),
    inference(subsumption_resolution,[],[f1532,f1192]) ).

fof(f1529,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_14
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1528]) ).

fof(f1528,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_14
    | ~ spl0_16 ),
    inference(subsumption_resolution,[],[f1527,f1192]) ).

fof(f1483,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1482]) ).

fof(f1482,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_16 ),
    inference(subsumption_resolution,[],[f1481,f1192]) ).

fof(f1481,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1480,f1229]) ).

fof(f1480,plain,
    ( sk_c7 = multiply(sk_c3,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1479,f1338]) ).

fof(f1479,plain,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_16 ),
    inference(subsumption_resolution,[],[f1478,f1192]) ).

fof(f1478,plain,
    ( identity = sk_c7
    | sk_c7 = multiply(sk_c3,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1472,f1338]) ).

fof(f1477,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | spl0_14
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1476]) ).

fof(f1476,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | spl0_14
    | ~ spl0_16 ),
    inference(subsumption_resolution,[],[f1475,f1192]) ).

fof(f1382,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | spl0_15
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1381]) ).

fof(f1381,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | spl0_15
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f31,f29,f30,f172,f174,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f439,f425,f312,f17,f322,f541,f543,f18,f16,f14,f23,f21,f19,f20,f22,f4,f6,f8,f5,f7,f34,f1073,f1060,f1059,f1049,f1048,f1047,f908,f904,f903,f902,f901,f9,f11,f13,f10,f1159,f25,f1160,f27,f12,f28,f26,f24,f38,f1167,f1168,f518,f1176,f522,f1178,f1170,f1182,f1175,f1196,f1177,f1198,f1180,f1169,f1209,f1195,f1215,f1216,f1197,f1217,f1218,f1199,f1219,f1221,f1201,f1234,f1235,f1237,f1238,f1240,f1241,f1229,f1247,f1248,f1230,f1232,f1254,f1233,f1258,f1244,f1231,f1325,f1330,f1333,f1339,f1335,f1338,f1356,f1359,f1380]) ).

fof(f1380,plain,
    ( identity != multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | ~ spl0_8
    | spl0_15
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1379,f1330]) ).

fof(f1379,plain,
    ( sk_c5 != multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | ~ spl0_8
    | spl0_15
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1325,f1338]) ).

fof(f1359,plain,
    ( identity = multiply(inverse(inverse(sk_c7)),sk_c7)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1345,f1330]) ).

fof(f1345,plain,
    ( sk_c5 = multiply(inverse(inverse(sk_c7)),sk_c7)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_16 ),
    inference(superposition,[],[f1195,f1338]) ).

fof(f1254,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c3,multiply(sk_c6,X0))
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f1232]) ).

fof(f1241,plain,
    ( sk_c6 = multiply(sk_c3,sk_c5)
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(superposition,[],[f1175,f1201]) ).

fof(f1240,plain,
    ( sk_c5 = multiply(sk_c3,sk_c6)
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(superposition,[],[f1177,f1201]) ).

fof(f1073,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c6 != inverse(X6)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c5 != multiply(sk_c6,sk_c7)
        | sk_c5 != multiply(X4,sk_c7)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f31,f29,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f18,f16,f14,f9,f11,f13,f23,f21,f19,f20,f10,f25,f27,f22,f12,f28,f26,f24,f908,f904,f903,f902,f901,f522,f518,f4,f1047,f6,f1048,f8,f1049,f5,f1059,f7,f1060,f34]) ).

fof(f1331,plain,
    ( spl0_15
    | spl0_16
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f1316,f178,f36,f1328,f1324]) ).

fof(f1316,plain,
    ( identity = sk_c5
    | sk_c5 = multiply(sk_c6,sk_c7)
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f1315,f1229]) ).

fof(f1315,plain,
    ( sk_c5 = multiply(sk_c3,sk_c7)
    | sk_c5 = multiply(sk_c6,sk_c7)
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f24,f544]) ).

fof(f1282,plain,
    ( spl0_13
    | spl0_14
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f1261,f40,f36,f1279,f1275]) ).

fof(f1158,plain,
    ( spl0_6
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f1149,f169,f40,f36,f462]) ).

fof(f1149,plain,
    ( ! [X4] :
        ( identity != inverse(X4)
        | identity != multiply(X4,identity) )
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f1148,f745]) ).

fof(f745,plain,
    ( identity = sk_c7
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f152,f442]) ).

fof(f152,plain,
    ( sk_c7 = inverse(identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f42,f136]) ).

fof(f136,plain,
    ( identity = sk_c1
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f124,f44]) ).

fof(f124,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f63,f95]) ).

fof(f95,plain,
    ( ! [X0] : multiply(sk_c1,X0) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f89,f63]) ).

fof(f89,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c1,multiply(sk_c7,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f54,f77]) ).

fof(f77,plain,
    ( sk_c7 = sk_c6
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f75,f71]) ).

fof(f71,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f49,f68]) ).

fof(f68,plain,
    ( sk_c7 = sk_c5
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f65,f47]) ).

fof(f47,plain,
    ( multiply(sk_c7,sk_c6) = sk_c5
    | spl0_1 ),
    inference(subsumption_resolution,[],[f5,f37]) ).

fof(f37,plain,
    ( sk_c7 != inverse(sk_c3)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f36]) ).

fof(f65,plain,
    ( sk_c7 = multiply(sk_c7,sk_c6)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f63,f48]) ).

fof(f48,plain,
    ( sk_c6 = multiply(sk_c1,sk_c7)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f10,f37]) ).

fof(f49,plain,
    ( sk_c6 = multiply(sk_c7,sk_c5)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f20,f37]) ).

fof(f75,plain,
    ( sk_c7 = multiply(sk_c7,sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f73,f68]) ).

fof(f73,plain,
    ( sk_c7 = multiply(sk_c7,sk_c5)
    | spl0_1 ),
    inference(superposition,[],[f64,f50]) ).

fof(f50,plain,
    ( sk_c5 = multiply(sk_c2,sk_c7)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f25,f37]) ).

fof(f64,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c2,X0)) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f59,f1]) ).

fof(f59,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c2,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f46]) ).

fof(f46,plain,
    ( identity = multiply(sk_c7,sk_c2)
    | spl0_1 ),
    inference(superposition,[],[f2,f45]) ).

fof(f45,plain,
    ( sk_c7 = inverse(sk_c2)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f30,f37]) ).

fof(f54,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c7,X0)) = multiply(sk_c6,X0)
    | spl0_1 ),
    inference(superposition,[],[f3,f48]) ).

fof(f1148,plain,
    ( ! [X4] :
        ( identity != multiply(X4,identity)
        | sk_c7 != inverse(X4) )
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f170,f745]) ).

fof(f1041,plain,
    ~ spl0_6,
    inference(avatar_contradiction_clause,[],[f1040]) ).

fof(f1040,plain,
    ( $false
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f1039,f442]) ).

fof(f1039,plain,
    ( identity != inverse(identity)
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1038,f442]) ).

fof(f1038,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1037,f442]) ).

fof(f1037,plain,
    ( identity != inverse(inverse(inverse(identity)))
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1029,f442]) ).

fof(f1029,plain,
    ( identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_6 ),
    inference(trivial_inequality_removal,[],[f1027]) ).

fof(f1027,plain,
    ( identity != identity
    | identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_6 ),
    inference(superposition,[],[f463,f428]) ).

fof(f463,plain,
    ( ! [X4] :
        ( identity != multiply(X4,identity)
        | identity != inverse(X4) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f462]) ).

fof(f1036,plain,
    ~ spl0_6,
    inference(avatar_contradiction_clause,[],[f1035]) ).

fof(f1035,plain,
    ( $false
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f1034,f442]) ).

fof(f1034,plain,
    ( identity != inverse(identity)
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1030,f442]) ).

fof(f1030,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_6 ),
    inference(trivial_inequality_removal,[],[f1026]) ).

fof(f1026,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_6 ),
    inference(superposition,[],[f463,f2]) ).

fof(f1033,plain,
    ~ spl0_6,
    inference(avatar_contradiction_clause,[],[f1032]) ).

fof(f1032,plain,
    ( $false
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f1031,f442]) ).

fof(f1031,plain,
    ( identity != inverse(identity)
    | ~ spl0_6 ),
    inference(trivial_inequality_removal,[],[f1025]) ).

fof(f1025,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl0_6 ),
    inference(superposition,[],[f463,f1]) ).

fof(f1023,plain,
    ( spl0_6
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | spl0_5 ),
    inference(avatar_split_clause,[],[f1018,f182,f178,f169,f40,f462]) ).

fof(f1018,plain,
    ( ! [X4] :
        ( identity != inverse(X4)
        | identity != multiply(X4,identity) )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f1017,f341]) ).

fof(f341,plain,
    ( identity = sk_c7
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f340,f2]) ).

fof(f340,plain,
    ( sk_c7 = multiply(inverse(sk_c7),sk_c7)
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f318,f206]) ).

fof(f206,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(superposition,[],[f204,f200]) ).

fof(f200,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | ~ spl0_2
    | spl0_5 ),
    inference(forward_demodulation,[],[f199,f196]) ).

fof(f196,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_2
    | spl0_5 ),
    inference(superposition,[],[f194,f191]) ).

fof(f191,plain,
    ( multiply(sk_c7,sk_c6) = sk_c5
    | spl0_5 ),
    inference(subsumption_resolution,[],[f7,f183]) ).

fof(f183,plain,
    ( sk_c6 != inverse(sk_c4)
    | spl0_5 ),
    inference(avatar_component_clause,[],[f182]) ).

fof(f194,plain,
    ( sk_c7 = multiply(sk_c7,sk_c6)
    | ~ spl0_2
    | spl0_5 ),
    inference(superposition,[],[f63,f193]) ).

fof(f193,plain,
    ( sk_c6 = multiply(sk_c1,sk_c7)
    | spl0_5 ),
    inference(subsumption_resolution,[],[f12,f183]) ).

fof(f199,plain,
    ( sk_c6 = multiply(sk_c7,sk_c5)
    | spl0_5 ),
    inference(subsumption_resolution,[],[f22,f183]) ).

fof(f204,plain,
    ( sk_c7 = multiply(sk_c7,sk_c7)
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(superposition,[],[f188,f203]) ).

fof(f203,plain,
    ( sk_c7 = multiply(sk_c2,sk_c7)
    | ~ spl0_2
    | spl0_5 ),
    inference(forward_demodulation,[],[f202,f196]) ).

fof(f202,plain,
    ( sk_c5 = multiply(sk_c2,sk_c7)
    | spl0_5 ),
    inference(subsumption_resolution,[],[f27,f183]) ).

fof(f188,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c2,X0)) = X0
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f187,f1]) ).

fof(f187,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c2,X0))
    | ~ spl0_4 ),
    inference(superposition,[],[f3,f186]) ).

fof(f318,plain,
    ( sk_c7 = multiply(inverse(sk_c7),sk_c6)
    | ~ spl0_2
    | spl0_5 ),
    inference(superposition,[],[f60,f200]) ).

fof(f1017,plain,
    ( ! [X4] :
        ( identity != multiply(X4,identity)
        | sk_c7 != inverse(X4) )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f170,f341]) ).

fof(f896,plain,
    ( spl0_5
    | spl0_7
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f895]) ).

fof(f895,plain,
    ( $false
    | spl0_5
    | spl0_7
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f522,f1,f2,f15,f3,f33,f31,f29,f5,f30,f32,f191,f193,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f388,f465,f321,f316,f467,f468,f469,f470,f471,f472,f195,f192,f202,f199,f473,f474,f475,f476,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f7,f519,f9,f11,f13,f18,f16,f14,f617,f618,f645,f619,f648,f642,f658,f641,f666,f667,f183,f806,f12,f22,f27,f647,f644,f25,f10,f740,f20]) ).

fof(f740,plain,
    ( sk_c7 = inverse(sk_c3)
    | spl0_7 ),
    inference(subsumption_resolution,[],[f5,f519]) ).

fof(f644,plain,
    ( sk_c6 = multiply(inverse(sk_c3),sk_c7)
    | spl0_7 ),
    inference(superposition,[],[f60,f618]) ).

fof(f647,plain,
    ( sk_c5 = multiply(inverse(sk_c4),sk_c6)
    | spl0_7 ),
    inference(superposition,[],[f60,f619]) ).

fof(f806,plain,
    ( sk_c6 = inverse(sk_c4)
    | spl0_7 ),
    inference(subsumption_resolution,[],[f7,f519]) ).

fof(f667,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(inverse(sk_c6),multiply(sk_c5,X0))
    | spl0_7 ),
    inference(superposition,[],[f3,f641]) ).

fof(f666,plain,
    ( sk_c5 = multiply(inverse(inverse(sk_c6)),sk_c7)
    | spl0_7 ),
    inference(superposition,[],[f60,f641]) ).

fof(f641,plain,
    ( sk_c7 = multiply(inverse(sk_c6),sk_c5)
    | spl0_7 ),
    inference(superposition,[],[f60,f617]) ).

fof(f658,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(inverse(sk_c6),multiply(sk_c5,X0))
    | spl0_7 ),
    inference(superposition,[],[f60,f642]) ).

fof(f642,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,multiply(sk_c7,X0))
    | spl0_7 ),
    inference(superposition,[],[f3,f617]) ).

fof(f648,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c4,multiply(sk_c5,X0))
    | spl0_7 ),
    inference(superposition,[],[f3,f619]) ).

fof(f619,plain,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | spl0_7 ),
    inference(subsumption_resolution,[],[f8,f519]) ).

fof(f645,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c6,X0))
    | spl0_7 ),
    inference(superposition,[],[f3,f618]) ).

fof(f618,plain,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | spl0_7 ),
    inference(subsumption_resolution,[],[f6,f519]) ).

fof(f617,plain,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | spl0_7 ),
    inference(subsumption_resolution,[],[f4,f519]) ).

fof(f519,plain,
    ( multiply(sk_c7,sk_c6) != sk_c5
    | spl0_7 ),
    inference(avatar_component_clause,[],[f517]) ).

fof(f476,plain,
    ( sk_c7 = inverse(sk_c1)
    | spl0_5 ),
    inference(subsumption_resolution,[],[f17,f183]) ).

fof(f475,plain,
    ( sk_c7 = inverse(sk_c1)
    | spl0_5 ),
    inference(global_subsumption,[],[f17,f1,f2,f15,f3,f34,f13,f11,f9,f8,f6,f4,f33,f31,f29,f27,f25,f22,f20,f12,f10,f7,f5,f30,f32,f183,f191,f193,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f388,f465,f321,f316,f28,f467,f26,f468,f24,f469,f23,f470,f21,f471,f19,f472,f195,f192,f202,f199,f18,f473,f16,f474,f14]) ).

fof(f474,plain,
    ( sk_c7 = inverse(sk_c1)
    | spl0_5 ),
    inference(global_subsumption,[],[f17,f14,f1,f2,f15,f3,f34,f13,f11,f9,f8,f6,f4,f33,f31,f29,f27,f25,f22,f20,f12,f10,f7,f5,f30,f32,f183,f191,f193,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f388,f465,f321,f316,f28,f467,f26,f468,f24,f469,f23,f470,f21,f471,f19,f472,f195,f192,f202,f199,f18,f473,f16]) ).

fof(f473,plain,
    ( sk_c7 = inverse(sk_c1)
    | spl0_5 ),
    inference(global_subsumption,[],[f17,f14,f16,f1,f2,f15,f3,f34,f13,f11,f9,f8,f6,f4,f33,f31,f29,f27,f25,f22,f20,f12,f10,f7,f5,f30,f32,f183,f191,f193,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f388,f465,f321,f316,f28,f467,f26,f468,f24,f469,f23,f470,f21,f471,f19,f472,f195,f192,f202,f199,f18]) ).

fof(f192,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c7,multiply(sk_c6,X0))
    | spl0_5 ),
    inference(superposition,[],[f3,f191]) ).

fof(f195,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c7,X0)) = multiply(sk_c6,X0)
    | spl0_5 ),
    inference(superposition,[],[f3,f193]) ).

fof(f472,plain,
    ( sk_c6 = multiply(sk_c7,sk_c5)
    | spl0_5 ),
    inference(global_subsumption,[],[f17,f14,f18,f16,f1,f2,f15,f3,f34,f13,f11,f9,f8,f6,f4,f33,f31,f29,f27,f25,f22,f20,f12,f10,f7,f5,f30,f32,f183,f191,f192,f193,f195,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f388,f465,f321,f316,f28,f467,f26,f468,f24,f469,f23,f470,f21,f471,f19]) ).

fof(f471,plain,
    ( sk_c6 = multiply(sk_c7,sk_c5)
    | spl0_5 ),
    inference(global_subsumption,[],[f17,f14,f18,f16,f1,f2,f15,f3,f34,f19,f13,f11,f9,f8,f6,f4,f33,f31,f29,f27,f25,f22,f20,f12,f10,f7,f5,f30,f32,f183,f191,f192,f193,f195,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f388,f465,f321,f316,f28,f467,f26,f468,f24,f469,f23,f470,f21]) ).

fof(f470,plain,
    ( sk_c6 = multiply(sk_c7,sk_c5)
    | spl0_5 ),
    inference(global_subsumption,[],[f17,f14,f18,f16,f1,f2,f15,f3,f34,f21,f19,f13,f11,f9,f8,f6,f4,f33,f31,f29,f27,f25,f22,f20,f12,f10,f7,f5,f30,f32,f183,f191,f192,f193,f195,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f388,f465,f321,f316,f28,f467,f26,f468,f24,f469,f23]) ).

fof(f469,plain,
    ( sk_c5 = multiply(sk_c2,sk_c7)
    | spl0_5 ),
    inference(global_subsumption,[],[f17,f14,f18,f16,f1,f2,f15,f3,f34,f23,f21,f19,f13,f11,f9,f8,f6,f4,f33,f31,f29,f27,f25,f22,f20,f12,f10,f7,f5,f30,f32,f183,f191,f192,f193,f195,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f388,f465,f321,f316,f28,f467,f26,f468,f24]) ).

fof(f468,plain,
    ( sk_c5 = multiply(sk_c2,sk_c7)
    | spl0_5 ),
    inference(global_subsumption,[],[f17,f14,f18,f16,f1,f2,f15,f3,f34,f24,f23,f21,f19,f13,f11,f9,f8,f6,f4,f33,f31,f29,f27,f25,f22,f20,f12,f10,f7,f5,f30,f32,f183,f191,f192,f193,f195,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f388,f465,f321,f316,f28,f467,f26]) ).

fof(f467,plain,
    ( sk_c5 = multiply(sk_c2,sk_c7)
    | spl0_5 ),
    inference(global_subsumption,[],[f17,f14,f18,f16,f1,f2,f15,f3,f34,f26,f24,f23,f21,f19,f13,f11,f9,f8,f6,f4,f33,f31,f29,f27,f25,f22,f20,f12,f10,f7,f5,f30,f32,f183,f191,f192,f193,f195,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f388,f465,f321,f316,f28]) ).

fof(f316,plain,
    ( sk_c7 = multiply(inverse(sk_c1),sk_c6)
    | spl0_5 ),
    inference(superposition,[],[f60,f193]) ).

fof(f321,plain,
    ( sk_c6 = multiply(inverse(sk_c7),sk_c5)
    | spl0_5 ),
    inference(superposition,[],[f60,f191]) ).

fof(f465,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c6 != inverse(X6)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c5 != multiply(sk_c6,sk_c7)
        | sk_c5 != multiply(X4,sk_c7)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c7 != multiply(X5,sk_c6) )
    | spl0_5 ),
    inference(global_subsumption,[],[f17,f14,f18,f16,f1,f2,f15,f3,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f8,f6,f4,f33,f31,f29,f27,f25,f22,f20,f12,f10,f7,f5,f30,f32,f183,f191,f192,f193,f195,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f388]) ).

fof(f388,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c6 != inverse(X6)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c5 != multiply(sk_c6,sk_c7)
        | sk_c5 != multiply(X4,sk_c7)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c7 != multiply(X5,sk_c6) )
    | spl0_5 ),
    inference(subsumption_resolution,[],[f34,f191]) ).

fof(f894,plain,
    ( spl0_5
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f893]) ).

fof(f893,plain,
    ( $false
    | spl0_5
    | spl0_7 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f31,f29,f5,f30,f32,f191,f193,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f388,f465,f321,f316,f467,f468,f469,f470,f471,f472,f195,f192,f202,f199,f473,f474,f475,f476,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f7,f519,f9,f11,f13,f18,f16,f14,f617,f618,f645,f619,f648,f642,f658,f641,f666,f667,f183,f806,f12,f22,f27,f647,f644,f25,f10,f740,f20]) ).

fof(f892,plain,
    ( spl0_1
    | spl0_5
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f891]) ).

fof(f891,plain,
    ( $false
    | spl0_1
    | spl0_5
    | spl0_7 ),
    inference(global_subsumption,[],[f37,f1,f2,f15,f3,f33,f31,f29,f20,f5,f30,f32,f191,f193,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f388,f465,f321,f316,f467,f468,f469,f470,f471,f472,f195,f192,f202,f199,f473,f474,f475,f476,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f7,f519,f9,f11,f13,f18,f16,f14,f617,f618,f645,f619,f648,f642,f658,f641,f666,f667,f183,f806,f12,f22,f27,f647,f644,f25,f10,f740]) ).

fof(f890,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_5
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f889]) ).

fof(f889,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_5
    | spl0_7 ),
    inference(global_subsumption,[],[f68,f1,f2,f15,f3,f33,f31,f29,f20,f5,f30,f32,f191,f193,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f388,f465,f321,f316,f467,f468,f469,f470,f471,f472,f195,f192,f202,f199,f473,f474,f475,f476,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f7,f519,f9,f11,f13,f18,f16,f14,f617,f618,f645,f619,f648,f642,f658,f641,f666,f667,f183,f806,f12,f22,f27,f647,f644,f25,f10,f740]) ).

fof(f888,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_5
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f887]) ).

fof(f887,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_5
    | spl0_7 ),
    inference(global_subsumption,[],[f752,f1,f2,f15,f3,f33,f31,f29,f20,f5,f30,f32,f191,f193,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f388,f465,f321,f316,f467,f468,f469,f470,f471,f472,f195,f192,f202,f199,f473,f474,f475,f476,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f7,f519,f9,f11,f13,f18,f16,f14,f617,f618,f645,f619,f648,f642,f658,f641,f666,f667,f183,f806,f12,f22,f27,f647,f644,f25,f10,f740]) ).

fof(f752,plain,
    ( identity = sk_c7
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f165,f442]) ).

fof(f165,plain,
    ( sk_c7 = inverse(identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f45,f137]) ).

fof(f137,plain,
    ( identity = sk_c2
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f124,f46]) ).

fof(f886,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_5
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f885]) ).

fof(f885,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_5
    | spl0_7 ),
    inference(global_subsumption,[],[f136,f1,f2,f15,f3,f33,f31,f29,f20,f5,f30,f32,f191,f193,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f388,f465,f321,f316,f467,f468,f469,f470,f471,f472,f195,f192,f202,f199,f473,f474,f475,f476,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f7,f519,f9,f11,f13,f18,f16,f14,f617,f618,f645,f619,f648,f642,f658,f641,f666,f667,f183,f806,f12,f22,f27,f647,f644,f25,f10,f740]) ).

fof(f884,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_5
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f883]) ).

fof(f883,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_5
    | spl0_7 ),
    inference(global_subsumption,[],[f137,f1,f2,f15,f3,f33,f31,f29,f20,f5,f30,f32,f191,f193,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f388,f465,f321,f316,f467,f468,f469,f470,f471,f472,f195,f192,f202,f199,f473,f474,f475,f476,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f7,f519,f9,f11,f13,f18,f16,f14,f617,f618,f645,f619,f648,f642,f658,f641,f666,f667,f183,f806,f12,f22,f27,f647,f644,f25,f10,f740]) ).

fof(f882,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_5
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f881]) ).

fof(f881,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_5
    | spl0_7 ),
    inference(global_subsumption,[],[f77,f1,f2,f15,f3,f33,f31,f29,f20,f5,f30,f32,f191,f193,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f388,f465,f321,f316,f467,f468,f469,f470,f471,f472,f195,f192,f202,f199,f473,f474,f475,f476,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f7,f519,f9,f11,f13,f18,f16,f14,f617,f618,f645,f619,f648,f642,f658,f641,f666,f667,f183,f806,f12,f22,f27,f647,f644,f25,f10,f740]) ).

fof(f880,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_5
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f879]) ).

fof(f879,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_5
    | spl0_7 ),
    inference(global_subsumption,[],[f745,f1,f2,f15,f3,f33,f31,f29,f20,f5,f30,f32,f191,f193,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f388,f465,f321,f316,f467,f468,f469,f470,f471,f472,f195,f192,f202,f199,f473,f474,f475,f476,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f7,f519,f9,f11,f13,f18,f16,f14,f617,f618,f645,f619,f648,f642,f658,f641,f666,f667,f183,f806,f12,f22,f27,f647,f644,f25,f10,f740]) ).

fof(f878,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f877]) ).

fof(f877,plain,
    ( $false
    | ~ spl0_3
    | spl0_5
    | spl0_7 ),
    inference(global_subsumption,[],[f170,f1,f2,f15,f3,f33,f31,f29,f20,f5,f30,f32,f191,f193,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f388,f465,f321,f316,f467,f468,f469,f470,f471,f472,f195,f192,f202,f199,f473,f474,f475,f476,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f7,f519,f9,f11,f13,f18,f16,f14,f617,f618,f645,f619,f648,f642,f658,f641,f666,f667,f183,f806,f12,f22,f27,f647,f644,f25,f10,f740]) ).

fof(f876,plain,
    ( spl0_5
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f875]) ).

fof(f875,plain,
    ( $false
    | spl0_5
    | spl0_7 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f31,f29,f20,f5,f30,f32,f191,f193,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f388,f465,f321,f316,f467,f468,f469,f470,f471,f472,f195,f192,f202,f199,f473,f474,f475,f476,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f7,f519,f9,f11,f13,f18,f16,f14,f617,f618,f645,f619,f648,f642,f658,f641,f666,f667,f183,f806,f12,f22,f27,f647,f644,f25,f10,f740]) ).

fof(f874,plain,
    ( spl0_5
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f873]) ).

fof(f873,plain,
    ( $false
    | spl0_5
    | spl0_7 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f31,f29,f20,f5,f30,f32,f191,f193,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f388,f465,f321,f316,f467,f468,f469,f470,f471,f472,f195,f192,f202,f199,f473,f474,f475,f476,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f7,f519,f9,f11,f13,f18,f16,f14,f617,f618,f645,f619,f648,f642,f658,f641,f666,f667,f740,f183,f806,f12,f22,f27,f647,f644,f25,f10]) ).

fof(f872,plain,
    ( spl0_5
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f871]) ).

fof(f871,plain,
    ( $false
    | spl0_5
    | spl0_7 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f31,f29,f20,f5,f30,f32,f191,f193,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f388,f465,f321,f316,f467,f468,f469,f470,f471,f472,f195,f192,f202,f199,f473,f474,f475,f476,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f7,f519,f9,f11,f13,f18,f16,f14,f617,f618,f645,f619,f648,f642,f658,f641,f666,f667,f740,f10,f183,f806,f12,f22,f27,f647,f644,f25]) ).

fof(f870,plain,
    ( ~ spl0_4
    | spl0_5
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f869]) ).

fof(f869,plain,
    ( $false
    | ~ spl0_4
    | spl0_5
    | spl0_7 ),
    inference(global_subsumption,[],[f324,f1,f2,f15,f3,f33,f31,f29,f20,f5,f30,f32,f191,f193,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f388,f465,f321,f316,f467,f468,f469,f470,f471,f472,f195,f192,f202,f199,f473,f474,f475,f476,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f7,f519,f9,f11,f13,f18,f16,f14,f617,f618,f645,f619,f648,f642,f658,f641,f666,f667,f740,f10,f25,f183,f806,f12,f22,f27,f647,f644]) ).

fof(f868,plain,
    ( ~ spl0_2
    | spl0_5
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f867]) ).

fof(f867,plain,
    ( $false
    | ~ spl0_2
    | spl0_5
    | spl0_7 ),
    inference(global_subsumption,[],[f636,f1,f2,f15,f3,f33,f31,f29,f20,f5,f30,f32,f191,f193,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f388,f465,f321,f316,f467,f468,f469,f470,f471,f472,f195,f192,f202,f199,f473,f474,f475,f476,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f7,f519,f9,f11,f13,f18,f16,f14,f617,f618,f645,f619,f648,f642,f658,f641,f666,f667,f740,f10,f25,f183,f806,f12,f22,f27,f647,f644]) ).

fof(f866,plain,
    ( spl0_5
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f865]) ).

fof(f865,plain,
    ( $false
    | spl0_5
    | spl0_7 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f31,f29,f20,f5,f30,f32,f191,f193,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f388,f465,f321,f316,f467,f468,f469,f470,f471,f472,f195,f192,f202,f199,f473,f474,f475,f476,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f7,f519,f9,f11,f13,f18,f16,f14,f617,f618,f645,f619,f648,f642,f658,f641,f666,f667,f740,f10,f25,f183,f806,f12,f22,f27,f647,f644]) ).

fof(f864,plain,
    ( ~ spl0_2
    | spl0_5
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f863]) ).

fof(f863,plain,
    ( $false
    | ~ spl0_2
    | spl0_5
    | spl0_7 ),
    inference(global_subsumption,[],[f638,f1,f2,f15,f3,f33,f31,f29,f20,f5,f30,f32,f191,f193,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f388,f465,f321,f316,f467,f468,f469,f470,f471,f472,f195,f192,f202,f199,f473,f474,f475,f476,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f7,f519,f9,f11,f13,f18,f16,f14,f617,f618,f645,f619,f648,f642,f658,f641,f666,f667,f740,f10,f25,f644,f183,f806,f12,f22,f27,f647]) ).

fof(f862,plain,
    ( ~ spl0_4
    | spl0_5
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f861]) ).

fof(f861,plain,
    ( $false
    | ~ spl0_4
    | spl0_5
    | spl0_7 ),
    inference(global_subsumption,[],[f653,f1,f2,f15,f3,f33,f31,f29,f20,f5,f30,f32,f191,f193,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f388,f465,f321,f316,f467,f468,f469,f470,f471,f472,f195,f192,f202,f199,f473,f474,f475,f476,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f7,f519,f9,f11,f13,f18,f16,f14,f617,f618,f645,f619,f648,f642,f658,f641,f666,f667,f740,f10,f25,f644,f183,f806,f12,f22,f27,f647]) ).

fof(f653,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c5,multiply(sk_c2,X0))
    | ~ spl0_4
    | spl0_7 ),
    inference(superposition,[],[f642,f188]) ).

fof(f860,plain,
    ( ~ spl0_4
    | spl0_5
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f859]) ).

fof(f859,plain,
    ( $false
    | ~ spl0_4
    | spl0_5
    | spl0_7 ),
    inference(global_subsumption,[],[f657,f1,f2,f15,f3,f33,f31,f29,f20,f5,f30,f32,f191,f193,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f388,f465,f321,f316,f467,f468,f469,f470,f471,f472,f195,f192,f202,f199,f473,f474,f475,f476,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f7,f519,f9,f11,f13,f18,f16,f14,f617,f618,f645,f619,f648,f642,f658,f641,f666,f667,f740,f10,f25,f644,f183,f806,f12,f22,f27,f647]) ).

fof(f657,plain,
    ( multiply(sk_c6,identity) = multiply(sk_c5,sk_c2)
    | ~ spl0_4
    | spl0_7 ),
    inference(superposition,[],[f642,f186]) ).

fof(f858,plain,
    ( ~ spl0_4
    | spl0_5
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f857]) ).

fof(f857,plain,
    ( $false
    | ~ spl0_4
    | spl0_5
    | spl0_7 ),
    inference(global_subsumption,[],[f427,f1,f2,f15,f3,f33,f31,f29,f20,f5,f30,f32,f191,f193,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f388,f465,f321,f316,f467,f468,f469,f470,f471,f472,f195,f192,f202,f199,f473,f474,f475,f476,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f7,f519,f9,f11,f13,f18,f16,f14,f617,f618,f645,f619,f648,f642,f658,f641,f666,f667,f740,f10,f25,f644,f183,f806,f12,f22,f27,f647]) ).

fof(f427,plain,
    ( sk_c2 = multiply(inverse(sk_c7),identity)
    | ~ spl0_4 ),
    inference(superposition,[],[f305,f180]) ).

fof(f856,plain,
    ( spl0_5
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f855]) ).

fof(f855,plain,
    ( $false
    | spl0_5
    | spl0_7 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f31,f29,f20,f5,f30,f32,f191,f193,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f388,f465,f321,f316,f467,f468,f469,f470,f471,f472,f195,f192,f202,f199,f473,f474,f475,f476,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f7,f519,f9,f11,f13,f18,f16,f14,f617,f618,f645,f619,f648,f642,f658,f641,f666,f667,f740,f10,f25,f644,f183,f806,f12,f22,f27,f647]) ).

fof(f854,plain,
    ( spl0_5
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f853]) ).

fof(f853,plain,
    ( $false
    | spl0_5
    | spl0_7 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f31,f29,f20,f5,f30,f32,f191,f193,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f388,f465,f321,f316,f467,f468,f469,f470,f471,f472,f195,f192,f202,f199,f473,f474,f475,f476,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f7,f519,f9,f11,f13,f18,f16,f14,f617,f618,f645,f619,f648,f642,f658,f641,f666,f667,f740,f10,f25,f644,f647,f183,f806,f12,f22,f27]) ).

fof(f852,plain,
    ( spl0_5
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f851]) ).

fof(f851,plain,
    ( $false
    | spl0_5
    | spl0_7 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f31,f29,f20,f5,f30,f32,f191,f193,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f388,f465,f321,f316,f467,f468,f469,f470,f471,f472,f195,f192,f202,f199,f473,f474,f475,f476,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f7,f519,f9,f11,f13,f18,f16,f14,f617,f618,f645,f619,f648,f642,f658,f641,f666,f667,f740,f10,f25,f644,f647,f27,f183,f806,f12,f22]) ).

fof(f850,plain,
    ( spl0_5
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f849]) ).

fof(f849,plain,
    ( $false
    | spl0_5
    | spl0_7 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f31,f29,f20,f5,f30,f32,f191,f193,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f388,f465,f321,f316,f467,f468,f469,f470,f471,f472,f195,f192,f202,f199,f473,f474,f475,f476,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f22,f7,f519,f9,f11,f13,f18,f16,f14,f617,f618,f645,f619,f648,f642,f658,f641,f666,f667,f740,f10,f25,f644,f647,f27,f183,f806,f12]) ).

fof(f848,plain,
    ( spl0_5
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f847]) ).

fof(f847,plain,
    ( $false
    | spl0_5
    | spl0_7 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f31,f29,f20,f5,f30,f32,f191,f193,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f388,f465,f321,f316,f467,f468,f469,f470,f471,f472,f195,f192,f202,f199,f473,f474,f475,f476,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f22,f7,f519,f9,f11,f13,f18,f16,f14,f617,f618,f645,f619,f648,f642,f658,f641,f666,f667,f740,f10,f25,f644,f647,f27,f12,f183,f806]) ).

fof(f846,plain,
    ( ~ spl0_2
    | ~ spl0_4
    | spl0_5
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f845]) ).

fof(f845,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5
    | spl0_7 ),
    inference(global_subsumption,[],[f206,f1,f2,f15,f3,f33,f31,f29,f20,f5,f30,f32,f191,f193,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f388,f465,f321,f316,f467,f468,f469,f470,f471,f472,f195,f192,f202,f199,f473,f474,f475,f476,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f22,f7,f519,f9,f11,f13,f18,f16,f14,f617,f618,f645,f619,f648,f642,f658,f641,f666,f667,f740,f10,f25,f644,f647,f27,f12,f806,f183]) ).

fof(f844,plain,
    ( ~ spl0_2
    | ~ spl0_4
    | spl0_5
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f843]) ).

fof(f843,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5
    | spl0_7 ),
    inference(global_subsumption,[],[f248,f1,f2,f15,f3,f33,f31,f29,f20,f5,f30,f32,f191,f193,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f388,f465,f321,f316,f467,f468,f469,f470,f471,f472,f195,f192,f202,f199,f473,f474,f475,f476,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f22,f7,f519,f9,f11,f13,f18,f16,f14,f617,f618,f645,f619,f648,f642,f658,f641,f666,f667,f740,f10,f25,f644,f647,f27,f12,f806,f183]) ).

fof(f248,plain,
    ( identity = sk_c2
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(superposition,[],[f235,f186]) ).

fof(f235,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(superposition,[],[f188,f217]) ).

fof(f217,plain,
    ( ! [X0] : multiply(sk_c2,X0) = X0
    | ~ spl0_2
    | spl0_5 ),
    inference(superposition,[],[f205,f63]) ).

fof(f205,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c2,multiply(sk_c7,X0))
    | ~ spl0_2
    | spl0_5 ),
    inference(superposition,[],[f3,f203]) ).

fof(f842,plain,
    ( ~ spl0_2
    | ~ spl0_4
    | spl0_5
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f841]) ).

fof(f841,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5
    | spl0_7 ),
    inference(global_subsumption,[],[f247,f1,f2,f15,f3,f33,f31,f29,f20,f5,f30,f32,f191,f193,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f388,f465,f321,f316,f467,f468,f469,f470,f471,f472,f195,f192,f202,f199,f473,f474,f475,f476,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f22,f7,f519,f9,f11,f13,f18,f16,f14,f617,f618,f645,f619,f648,f642,f658,f641,f666,f667,f740,f10,f25,f644,f647,f27,f12,f806,f183]) ).

fof(f247,plain,
    ( identity = sk_c1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(superposition,[],[f235,f44]) ).

fof(f840,plain,
    ( ~ spl0_2
    | ~ spl0_4
    | spl0_5
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f839]) ).

fof(f839,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5
    | spl0_7 ),
    inference(global_subsumption,[],[f341,f1,f2,f15,f3,f33,f31,f29,f20,f5,f30,f32,f191,f193,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f388,f465,f321,f316,f467,f468,f469,f470,f471,f472,f195,f192,f202,f199,f473,f474,f475,f476,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f22,f7,f519,f9,f11,f13,f18,f16,f14,f617,f618,f645,f619,f648,f642,f658,f641,f666,f667,f740,f10,f25,f644,f647,f27,f12,f806,f183]) ).

fof(f838,plain,
    ( ~ spl0_2
    | ~ spl0_4
    | spl0_5
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f837]) ).

fof(f837,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5
    | spl0_7 ),
    inference(global_subsumption,[],[f817,f1,f2,f15,f3,f33,f31,f29,f20,f5,f30,f32,f191,f193,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f388,f465,f321,f316,f467,f468,f469,f470,f471,f472,f195,f192,f202,f199,f473,f474,f475,f476,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f22,f7,f519,f9,f11,f13,f18,f16,f14,f617,f618,f645,f619,f648,f642,f658,f641,f666,f667,f740,f10,f25,f644,f647,f27,f12,f806,f183]) ).

fof(f817,plain,
    ( identity = sk_c7
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f266,f442]) ).

fof(f266,plain,
    ( sk_c7 = inverse(identity)
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(superposition,[],[f42,f247]) ).

fof(f836,plain,
    ( ~ spl0_2
    | spl0_5
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f835]) ).

fof(f835,plain,
    ( $false
    | ~ spl0_2
    | spl0_5
    | spl0_7 ),
    inference(global_subsumption,[],[f345,f1,f2,f15,f3,f33,f31,f29,f20,f5,f30,f32,f191,f193,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f388,f465,f321,f316,f467,f468,f469,f470,f471,f472,f195,f192,f202,f199,f473,f474,f475,f476,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f22,f7,f519,f9,f11,f13,f18,f16,f14,f617,f618,f645,f619,f648,f642,f658,f641,f666,f667,f740,f10,f25,f644,f647,f27,f12,f806,f183]) ).

fof(f345,plain,
    ( identity = sk_c6
    | ~ spl0_2
    | spl0_5 ),
    inference(forward_demodulation,[],[f344,f2]) ).

fof(f344,plain,
    ( sk_c6 = multiply(inverse(sk_c7),sk_c7)
    | ~ spl0_2
    | spl0_5 ),
    inference(forward_demodulation,[],[f321,f196]) ).

fof(f834,plain,
    ( ~ spl0_2
    | spl0_5
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f833]) ).

fof(f833,plain,
    ( $false
    | ~ spl0_2
    | spl0_5
    | spl0_7 ),
    inference(global_subsumption,[],[f196,f1,f2,f15,f3,f33,f31,f29,f20,f5,f30,f32,f191,f193,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f388,f465,f321,f316,f467,f468,f469,f470,f471,f472,f195,f192,f202,f199,f473,f474,f475,f476,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f22,f7,f519,f9,f11,f13,f18,f16,f14,f617,f618,f645,f619,f648,f642,f658,f641,f666,f667,f740,f10,f25,f644,f647,f27,f12,f806,f183]) ).

fof(f832,plain,
    ( ~ spl0_2
    | ~ spl0_4
    | spl0_5
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f831]) ).

fof(f831,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5
    | spl0_7 ),
    inference(global_subsumption,[],[f824,f1,f2,f15,f3,f33,f31,f29,f20,f5,f30,f32,f191,f193,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f388,f465,f321,f316,f467,f468,f469,f470,f471,f472,f195,f192,f202,f199,f473,f474,f475,f476,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f22,f7,f519,f9,f11,f13,f18,f16,f14,f617,f618,f645,f619,f648,f642,f658,f641,f666,f667,f740,f10,f25,f644,f647,f27,f12,f806,f183]) ).

fof(f824,plain,
    ( identity = sk_c7
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f272,f442]) ).

fof(f272,plain,
    ( sk_c7 = inverse(identity)
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(superposition,[],[f180,f248]) ).

fof(f830,plain,
    ( spl0_5
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f829]) ).

fof(f829,plain,
    ( $false
    | spl0_5
    | spl0_7 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f31,f29,f20,f5,f30,f32,f191,f193,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f388,f465,f321,f316,f467,f468,f469,f470,f471,f472,f195,f192,f202,f199,f473,f474,f475,f476,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f22,f7,f519,f9,f11,f13,f18,f16,f14,f617,f618,f645,f619,f648,f642,f658,f641,f666,f667,f740,f10,f25,f644,f647,f27,f12,f806,f183]) ).

fof(f828,plain,
    ( spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f827]) ).

fof(f827,plain,
    ( $false
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f31,f29,f20,f5,f30,f32,f191,f193,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f388,f465,f321,f316,f467,f468,f469,f470,f471,f472,f195,f192,f202,f199,f473,f474,f475,f476,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f22,f7,f523,f9,f620,f11,f621,f13,f622,f629,f630,f631,f18,f632,f16,f633,f14,f634,f10,f734,f25,f27,f801,f12,f183]) ).

fof(f826,plain,
    ( ~ spl0_2
    | ~ spl0_4
    | spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f825]) ).

fof(f825,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f824,f1,f2,f15,f3,f33,f31,f29,f20,f5,f30,f32,f183,f191,f193,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f388,f465,f321,f316,f467,f468,f469,f470,f471,f472,f195,f192,f202,f199,f473,f474,f475,f476,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f22,f7,f523,f9,f620,f11,f621,f13,f622,f629,f630,f631,f18,f632,f16,f633,f14,f634,f10,f734,f25,f27,f801,f12]) ).

fof(f823,plain,
    ( ~ spl0_2
    | spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f822]) ).

fof(f822,plain,
    ( $false
    | ~ spl0_2
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f196,f1,f2,f15,f3,f33,f31,f29,f20,f5,f30,f32,f183,f191,f193,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f388,f465,f321,f316,f467,f468,f469,f470,f471,f472,f195,f192,f202,f199,f473,f474,f475,f476,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f22,f7,f523,f9,f620,f11,f621,f13,f622,f629,f630,f631,f18,f632,f16,f633,f14,f634,f10,f734,f25,f27,f801,f12]) ).

fof(f821,plain,
    ( ~ spl0_2
    | spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f820]) ).

fof(f820,plain,
    ( $false
    | ~ spl0_2
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f345,f1,f2,f15,f3,f33,f31,f29,f20,f5,f30,f32,f183,f191,f193,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f388,f465,f321,f316,f467,f468,f469,f470,f471,f472,f195,f192,f202,f199,f473,f474,f475,f476,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f22,f7,f523,f9,f620,f11,f621,f13,f622,f629,f630,f631,f18,f632,f16,f633,f14,f634,f10,f734,f25,f27,f801,f12]) ).

fof(f819,plain,
    ( ~ spl0_2
    | ~ spl0_4
    | spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f818]) ).

fof(f818,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f817,f1,f2,f15,f3,f33,f31,f29,f20,f5,f30,f32,f183,f191,f193,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f388,f465,f321,f316,f467,f468,f469,f470,f471,f472,f195,f192,f202,f199,f473,f474,f475,f476,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f22,f7,f523,f9,f620,f11,f621,f13,f622,f629,f630,f631,f18,f632,f16,f633,f14,f634,f10,f734,f25,f27,f801,f12]) ).

fof(f816,plain,
    ( ~ spl0_2
    | ~ spl0_4
    | spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f815]) ).

fof(f815,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f341,f1,f2,f15,f3,f33,f31,f29,f20,f5,f30,f32,f183,f191,f193,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f388,f465,f321,f316,f467,f468,f469,f470,f471,f472,f195,f192,f202,f199,f473,f474,f475,f476,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f22,f7,f523,f9,f620,f11,f621,f13,f622,f629,f630,f631,f18,f632,f16,f633,f14,f634,f10,f734,f25,f27,f801,f12]) ).

fof(f814,plain,
    ( ~ spl0_2
    | ~ spl0_4
    | spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f813]) ).

fof(f813,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f247,f1,f2,f15,f3,f33,f31,f29,f20,f5,f30,f32,f183,f191,f193,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f388,f465,f321,f316,f467,f468,f469,f470,f471,f472,f195,f192,f202,f199,f473,f474,f475,f476,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f22,f7,f523,f9,f620,f11,f621,f13,f622,f629,f630,f631,f18,f632,f16,f633,f14,f634,f10,f734,f25,f27,f801,f12]) ).

fof(f812,plain,
    ( ~ spl0_2
    | ~ spl0_4
    | spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f811]) ).

fof(f811,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f248,f1,f2,f15,f3,f33,f31,f29,f20,f5,f30,f32,f183,f191,f193,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f388,f465,f321,f316,f467,f468,f469,f470,f471,f472,f195,f192,f202,f199,f473,f474,f475,f476,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f22,f7,f523,f9,f620,f11,f621,f13,f622,f629,f630,f631,f18,f632,f16,f633,f14,f634,f10,f734,f25,f27,f801,f12]) ).

fof(f810,plain,
    ( ~ spl0_2
    | ~ spl0_4
    | spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f809]) ).

fof(f809,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f206,f1,f2,f15,f3,f33,f31,f29,f20,f5,f30,f32,f183,f191,f193,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f388,f465,f321,f316,f467,f468,f469,f470,f471,f472,f195,f192,f202,f199,f473,f474,f475,f476,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f22,f7,f523,f9,f620,f11,f621,f13,f622,f629,f630,f631,f18,f632,f16,f633,f14,f634,f10,f734,f25,f27,f801,f12]) ).

fof(f808,plain,
    ( spl0_5
    | spl0_7
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f807]) ).

fof(f807,plain,
    ( $false
    | spl0_5
    | spl0_7
    | spl0_8 ),
    inference(global_subsumption,[],[f806,f1,f2,f15,f3,f33,f31,f29,f20,f5,f30,f32,f183,f191,f193,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f388,f465,f321,f316,f467,f468,f469,f470,f471,f472,f195,f192,f202,f199,f473,f474,f475,f476,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f22,f7,f523,f9,f620,f11,f621,f13,f622,f629,f630,f631,f18,f632,f16,f633,f14,f634,f10,f734,f25,f27,f801,f12]) ).

fof(f805,plain,
    ( spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f804]) ).

fof(f804,plain,
    ( $false
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f31,f29,f20,f5,f30,f32,f183,f191,f193,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f388,f465,f321,f316,f467,f468,f469,f470,f471,f472,f195,f192,f202,f199,f473,f474,f475,f476,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f22,f7,f523,f9,f620,f11,f621,f13,f622,f629,f630,f631,f18,f632,f16,f633,f14,f634,f10,f734,f25,f27,f801,f12]) ).

fof(f803,plain,
    ( spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f802]) ).

fof(f802,plain,
    ( $false
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f31,f29,f20,f5,f30,f32,f183,f191,f193,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f388,f465,f321,f316,f467,f468,f469,f470,f471,f472,f195,f192,f202,f199,f473,f474,f475,f476,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f22,f12,f7,f523,f9,f620,f11,f621,f13,f622,f629,f630,f631,f18,f632,f16,f633,f14,f634,f10,f734,f25,f27,f801]) ).

fof(f800,plain,
    ( spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f799]) ).

fof(f799,plain,
    ( $false
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f31,f29,f20,f5,f30,f32,f183,f191,f193,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f388,f465,f321,f316,f467,f468,f469,f470,f471,f472,f195,f192,f202,f199,f473,f474,f475,f476,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f22,f12,f7,f523,f9,f620,f11,f621,f13,f622,f629,f630,f631,f18,f632,f16,f633,f14,f634,f10,f734,f25,f27]) ).

fof(f798,plain,
    ( spl0_5
    | spl0_7
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f797]) ).

fof(f797,plain,
    ( $false
    | spl0_5
    | spl0_7
    | spl0_8 ),
    inference(global_subsumption,[],[f647,f1,f2,f15,f3,f33,f31,f29,f20,f5,f30,f32,f183,f191,f193,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f388,f465,f321,f316,f467,f468,f469,f470,f471,f472,f195,f192,f202,f199,f473,f474,f475,f476,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f27,f22,f12,f7,f523,f9,f620,f11,f621,f13,f622,f629,f630,f631,f18,f632,f16,f633,f14,f634,f10,f734,f25]) ).

fof(f796,plain,
    ( ~ spl0_4
    | spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f795]) ).

fof(f795,plain,
    ( $false
    | ~ spl0_4
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f427,f1,f2,f15,f3,f33,f31,f29,f20,f5,f30,f32,f183,f191,f193,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f388,f465,f321,f316,f467,f468,f469,f470,f471,f472,f195,f192,f202,f199,f473,f474,f475,f476,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f27,f22,f12,f7,f523,f9,f620,f11,f621,f13,f622,f629,f630,f631,f18,f632,f16,f633,f14,f634,f10,f734,f25]) ).

fof(f794,plain,
    ( ~ spl0_4
    | spl0_5
    | spl0_7
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f793]) ).

fof(f793,plain,
    ( $false
    | ~ spl0_4
    | spl0_5
    | spl0_7
    | spl0_8 ),
    inference(global_subsumption,[],[f657,f1,f2,f15,f3,f33,f31,f29,f20,f5,f30,f32,f183,f191,f193,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f388,f465,f321,f316,f467,f468,f469,f470,f471,f472,f195,f192,f202,f199,f473,f474,f475,f476,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f27,f22,f12,f7,f523,f9,f620,f11,f621,f13,f622,f629,f630,f631,f18,f632,f16,f633,f14,f634,f10,f734,f25]) ).

fof(f792,plain,
    ( ~ spl0_4
    | spl0_5
    | spl0_7
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f791]) ).

fof(f791,plain,
    ( $false
    | ~ spl0_4
    | spl0_5
    | spl0_7
    | spl0_8 ),
    inference(global_subsumption,[],[f653,f1,f2,f15,f3,f33,f31,f29,f20,f5,f30,f32,f183,f191,f193,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f388,f465,f321,f316,f467,f468,f469,f470,f471,f472,f195,f192,f202,f199,f473,f474,f475,f476,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f27,f22,f12,f7,f523,f9,f620,f11,f621,f13,f622,f629,f630,f631,f18,f632,f16,f633,f14,f634,f10,f734,f25]) ).

fof(f790,plain,
    ( ~ spl0_2
    | spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f789]) ).

fof(f789,plain,
    ( $false
    | ~ spl0_2
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f638,f1,f2,f15,f3,f33,f31,f29,f20,f5,f30,f32,f183,f191,f193,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f388,f465,f321,f316,f467,f468,f469,f470,f471,f472,f195,f192,f202,f199,f473,f474,f475,f476,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f27,f22,f12,f7,f523,f9,f620,f11,f621,f13,f622,f629,f630,f631,f18,f632,f16,f633,f14,f634,f10,f734,f25]) ).

fof(f788,plain,
    ( spl0_5
    | spl0_7
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f787]) ).

fof(f787,plain,
    ( $false
    | spl0_5
    | spl0_7
    | spl0_8 ),
    inference(global_subsumption,[],[f644,f1,f2,f15,f3,f33,f31,f29,f20,f5,f30,f32,f183,f191,f193,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f388,f465,f321,f316,f467,f468,f469,f470,f471,f472,f195,f192,f202,f199,f473,f474,f475,f476,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f27,f22,f12,f7,f523,f9,f620,f11,f621,f13,f622,f629,f630,f631,f18,f632,f16,f633,f14,f634,f10,f734,f25]) ).

fof(f786,plain,
    ( ~ spl0_2
    | spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f785]) ).

fof(f785,plain,
    ( $false
    | ~ spl0_2
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f636,f1,f2,f15,f3,f33,f31,f29,f20,f5,f30,f32,f183,f191,f193,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f388,f465,f321,f316,f467,f468,f469,f470,f471,f472,f195,f192,f202,f199,f473,f474,f475,f476,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f27,f22,f12,f7,f523,f9,f620,f11,f621,f13,f622,f629,f630,f631,f18,f632,f16,f633,f14,f634,f10,f734,f25]) ).

fof(f784,plain,
    ( ~ spl0_4
    | spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f783]) ).

fof(f783,plain,
    ( $false
    | ~ spl0_4
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f324,f1,f2,f15,f3,f33,f31,f29,f20,f5,f30,f32,f183,f191,f193,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f388,f465,f321,f316,f467,f468,f469,f470,f471,f472,f195,f192,f202,f199,f473,f474,f475,f476,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f27,f22,f12,f7,f523,f9,f620,f11,f621,f13,f622,f629,f630,f631,f18,f632,f16,f633,f14,f634,f10,f734,f25]) ).

fof(f782,plain,
    ( spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f781]) ).

fof(f781,plain,
    ( $false
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f31,f29,f20,f5,f30,f32,f183,f191,f193,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f388,f465,f321,f316,f467,f468,f469,f470,f471,f472,f195,f192,f202,f199,f473,f474,f475,f476,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f27,f22,f12,f7,f523,f9,f620,f11,f621,f13,f622,f629,f630,f631,f18,f632,f16,f633,f14,f634,f10,f734,f25]) ).

fof(f780,plain,
    ( spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f779]) ).

fof(f779,plain,
    ( $false
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f31,f29,f20,f5,f30,f32,f183,f191,f193,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f388,f465,f321,f316,f467,f468,f469,f470,f471,f472,f195,f192,f202,f199,f473,f474,f475,f476,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f27,f22,f12,f7,f523,f9,f620,f11,f621,f13,f622,f629,f630,f631,f18,f632,f16,f633,f14,f634,f25,f10,f734]) ).

fof(f778,plain,
    ( spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f777]) ).

fof(f777,plain,
    ( $false
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f31,f29,f20,f5,f30,f32,f183,f191,f193,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f388,f465,f321,f316,f467,f468,f469,f470,f471,f472,f195,f192,f202,f199,f473,f474,f475,f476,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f27,f22,f12,f7,f523,f9,f620,f11,f621,f13,f622,f629,f630,f631,f18,f632,f16,f633,f14,f634,f25,f734,f10]) ).

fof(f776,plain,
    ( spl0_5
    | spl0_7
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f775]) ).

fof(f775,plain,
    ( $false
    | spl0_5
    | spl0_7
    | spl0_8 ),
    inference(global_subsumption,[],[f740,f1,f2,f15,f3,f33,f31,f29,f20,f10,f5,f30,f32,f183,f191,f193,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f388,f465,f321,f316,f467,f468,f469,f470,f471,f472,f195,f192,f202,f199,f473,f474,f475,f476,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f27,f22,f12,f7,f523,f9,f620,f11,f621,f13,f622,f629,f630,f631,f18,f632,f16,f633,f14,f634,f25,f734]) ).

fof(f774,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f773]) ).

fof(f773,plain,
    ( $false
    | ~ spl0_3
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f170,f1,f2,f15,f3,f33,f31,f29,f20,f10,f5,f30,f32,f183,f191,f193,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f388,f465,f321,f316,f467,f468,f469,f470,f471,f472,f195,f192,f202,f199,f473,f474,f475,f476,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f27,f22,f12,f7,f523,f9,f620,f11,f621,f13,f622,f629,f630,f631,f18,f632,f16,f633,f14,f634,f25,f734]) ).

fof(f772,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f771]) ).

fof(f771,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f745,f1,f2,f15,f3,f33,f31,f29,f20,f10,f5,f30,f32,f183,f191,f193,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f388,f465,f321,f316,f467,f468,f469,f470,f471,f472,f195,f192,f202,f199,f473,f474,f475,f476,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f27,f22,f12,f7,f523,f9,f620,f11,f621,f13,f622,f629,f630,f631,f18,f632,f16,f633,f14,f634,f25,f734]) ).

fof(f770,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f769]) ).

fof(f769,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f77,f1,f2,f15,f3,f33,f31,f29,f20,f10,f5,f30,f32,f183,f191,f193,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f388,f465,f321,f316,f467,f468,f469,f470,f471,f472,f195,f192,f202,f199,f473,f474,f475,f476,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f27,f22,f12,f7,f523,f9,f620,f11,f621,f13,f622,f629,f630,f631,f18,f632,f16,f633,f14,f634,f25,f734]) ).

fof(f768,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f767]) ).

fof(f767,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f137,f1,f2,f15,f3,f33,f31,f29,f20,f10,f5,f30,f32,f183,f191,f193,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f388,f465,f321,f316,f467,f468,f469,f470,f471,f472,f195,f192,f202,f199,f473,f474,f475,f476,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f27,f22,f12,f7,f523,f9,f620,f11,f621,f13,f622,f629,f630,f631,f18,f632,f16,f633,f14,f634,f25,f734]) ).

fof(f766,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f765]) ).

fof(f765,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f136,f1,f2,f15,f3,f33,f31,f29,f20,f10,f5,f30,f32,f183,f191,f193,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f388,f465,f321,f316,f467,f468,f469,f470,f471,f472,f195,f192,f202,f199,f473,f474,f475,f476,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f27,f22,f12,f7,f523,f9,f620,f11,f621,f13,f622,f629,f630,f631,f18,f632,f16,f633,f14,f634,f25,f734]) ).

fof(f764,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f763]) ).

fof(f763,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f752,f1,f2,f15,f3,f33,f31,f29,f20,f10,f5,f30,f32,f183,f191,f193,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f388,f465,f321,f316,f467,f468,f469,f470,f471,f472,f195,f192,f202,f199,f473,f474,f475,f476,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f27,f22,f12,f7,f523,f9,f620,f11,f621,f13,f622,f629,f630,f631,f18,f632,f16,f633,f14,f634,f25,f734]) ).

fof(f762,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f761]) ).

fof(f761,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f68,f1,f2,f15,f3,f33,f31,f29,f20,f10,f5,f30,f32,f183,f191,f193,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f388,f465,f321,f316,f467,f468,f469,f470,f471,f472,f195,f192,f202,f199,f473,f474,f475,f476,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f27,f22,f12,f7,f523,f9,f620,f11,f621,f13,f622,f629,f630,f631,f18,f632,f16,f633,f14,f634,f25,f734]) ).

fof(f760,plain,
    ( spl0_1
    | spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f759]) ).

fof(f759,plain,
    ( $false
    | spl0_1
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f37,f1,f2,f15,f3,f33,f31,f29,f20,f10,f5,f30,f32,f183,f191,f193,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f388,f465,f321,f316,f467,f468,f469,f470,f471,f472,f195,f192,f202,f199,f473,f474,f475,f476,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f27,f22,f12,f7,f523,f9,f620,f11,f621,f13,f622,f629,f630,f631,f18,f632,f16,f633,f14,f634,f25,f734]) ).

fof(f758,plain,
    ( spl0_1
    | ~ spl0_5
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f757]) ).

fof(f757,plain,
    ( $false
    | spl0_1
    | ~ spl0_5
    | spl0_7 ),
    inference(global_subsumption,[],[f37,f1,f2,f15,f3,f33,f31,f29,f20,f10,f5,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f27,f22,f12,f7,f184,f500,f501,f502,f503,f515,f519,f513,f550,f552,f9,f11,f13,f18,f16,f14,f617,f618,f645,f619,f648,f642,f658,f649,f664,f665,f641,f666,f667,f671,f672,f679,f678,f677,f676,f675,f674,f673,f725,f25,f737,f740]) ).

fof(f737,plain,
    ( sk_c7 = multiply(sk_c1,sk_c7)
    | sk_c7 = inverse(sk_c3)
    | ~ spl0_5
    | spl0_7 ),
    inference(forward_demodulation,[],[f10,f671]) ).

fof(f725,plain,
    ( sk_c7 = multiply(inverse(sk_c3),sk_c7)
    | ~ spl0_5
    | spl0_7 ),
    inference(forward_demodulation,[],[f644,f671]) ).

fof(f673,plain,
    ( sk_c4 = multiply(inverse(sk_c7),identity)
    | ~ spl0_5
    | spl0_7 ),
    inference(superposition,[],[f513,f671]) ).

fof(f674,plain,
    ( sk_c5 != multiply(sk_c7,sk_c7)
    | ~ spl0_5
    | spl0_7 ),
    inference(superposition,[],[f519,f671]) ).

fof(f675,plain,
    ( sk_c5 = multiply(sk_c7,sk_c7)
    | ~ spl0_5
    | spl0_7 ),
    inference(superposition,[],[f617,f671]) ).

fof(f676,plain,
    ( sk_c7 = multiply(sk_c3,sk_c7)
    | ~ spl0_5
    | spl0_7 ),
    inference(superposition,[],[f618,f671]) ).

fof(f677,plain,
    ( sk_c7 = multiply(inverse(sk_c7),sk_c5)
    | ~ spl0_5
    | spl0_7 ),
    inference(superposition,[],[f641,f671]) ).

fof(f678,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c7,multiply(sk_c7,X0))
    | ~ spl0_5
    | spl0_7 ),
    inference(superposition,[],[f642,f671]) ).

fof(f679,plain,
    ( sk_c5 = multiply(sk_c7,sk_c7)
    | ~ spl0_5
    | spl0_7 ),
    inference(superposition,[],[f649,f671]) ).

fof(f672,plain,
    ( identity = multiply(sk_c7,sk_c4)
    | ~ spl0_5
    | spl0_7 ),
    inference(superposition,[],[f503,f671]) ).

fof(f671,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_5
    | spl0_7 ),
    inference(forward_demodulation,[],[f664,f641]) ).

fof(f665,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,multiply(sk_c6,X0))
    | ~ spl0_5
    | spl0_7 ),
    inference(superposition,[],[f3,f649]) ).

fof(f664,plain,
    ( sk_c6 = multiply(inverse(sk_c6),sk_c5)
    | ~ spl0_5
    | spl0_7 ),
    inference(superposition,[],[f60,f649]) ).

fof(f649,plain,
    ( sk_c5 = multiply(sk_c6,sk_c6)
    | ~ spl0_5
    | spl0_7 ),
    inference(forward_demodulation,[],[f647,f184]) ).

fof(f756,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f755]) ).

fof(f755,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_7 ),
    inference(global_subsumption,[],[f68,f1,f2,f15,f3,f33,f31,f29,f20,f10,f5,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f27,f22,f12,f7,f184,f500,f501,f502,f503,f515,f519,f513,f550,f552,f9,f11,f13,f18,f16,f14,f617,f618,f645,f619,f648,f642,f658,f649,f664,f665,f641,f666,f667,f671,f672,f679,f678,f677,f676,f675,f674,f673,f725,f25,f737,f740]) ).

fof(f754,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f753]) ).

fof(f753,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_7 ),
    inference(global_subsumption,[],[f752,f1,f2,f15,f3,f33,f31,f29,f20,f10,f5,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f27,f22,f12,f7,f184,f500,f501,f502,f503,f515,f519,f513,f550,f552,f9,f11,f13,f18,f16,f14,f617,f618,f645,f619,f648,f642,f658,f649,f664,f665,f641,f666,f667,f671,f672,f679,f678,f677,f676,f675,f674,f673,f725,f25,f737,f740]) ).

fof(f751,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f750]) ).

fof(f750,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_7 ),
    inference(global_subsumption,[],[f136,f1,f2,f15,f3,f33,f31,f29,f20,f10,f5,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f27,f22,f12,f7,f184,f500,f501,f502,f503,f515,f519,f513,f550,f552,f9,f11,f13,f18,f16,f14,f617,f618,f645,f619,f648,f642,f658,f649,f664,f665,f641,f666,f667,f671,f672,f679,f678,f677,f676,f675,f674,f673,f725,f25,f737,f740]) ).

fof(f749,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f748]) ).

fof(f748,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_7 ),
    inference(global_subsumption,[],[f137,f1,f2,f15,f3,f33,f31,f29,f20,f10,f5,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f27,f22,f12,f7,f184,f500,f501,f502,f503,f515,f519,f513,f550,f552,f9,f11,f13,f18,f16,f14,f617,f618,f645,f619,f648,f642,f658,f649,f664,f665,f641,f666,f667,f671,f672,f679,f678,f677,f676,f675,f674,f673,f725,f25,f737,f740]) ).

fof(f747,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f746]) ).

fof(f746,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_7 ),
    inference(global_subsumption,[],[f745,f1,f2,f15,f3,f33,f31,f29,f20,f10,f5,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f27,f22,f12,f7,f184,f500,f501,f502,f503,f515,f519,f513,f550,f552,f9,f11,f13,f18,f16,f14,f617,f618,f645,f619,f648,f642,f658,f649,f664,f665,f641,f666,f667,f671,f672,f679,f678,f677,f676,f675,f674,f673,f725,f25,f737,f740]) ).

fof(f744,plain,
    ( ~ spl0_3
    | ~ spl0_5
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f743]) ).

fof(f743,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_5
    | spl0_7 ),
    inference(global_subsumption,[],[f170,f1,f2,f15,f3,f33,f31,f29,f20,f10,f5,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f27,f22,f12,f7,f184,f500,f501,f502,f503,f515,f519,f513,f550,f552,f9,f11,f13,f18,f16,f14,f617,f618,f645,f619,f648,f642,f658,f649,f664,f665,f641,f666,f667,f671,f672,f679,f678,f677,f676,f675,f674,f673,f725,f25,f737,f740]) ).

fof(f742,plain,
    ( ~ spl0_5
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f741]) ).

fof(f741,plain,
    ( $false
    | ~ spl0_5
    | spl0_7 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f31,f29,f20,f10,f5,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f27,f22,f12,f7,f184,f500,f501,f502,f503,f515,f519,f513,f550,f552,f9,f11,f13,f18,f16,f14,f617,f618,f645,f619,f648,f642,f658,f649,f664,f665,f641,f666,f667,f671,f672,f679,f678,f677,f676,f675,f674,f673,f725,f25,f737,f740]) ).

fof(f739,plain,
    ( ~ spl0_5
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f738]) ).

fof(f738,plain,
    ( $false
    | ~ spl0_5
    | spl0_7 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f31,f29,f20,f10,f5,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f27,f22,f12,f7,f184,f500,f501,f502,f503,f515,f519,f513,f550,f552,f9,f11,f13,f18,f16,f14,f617,f618,f645,f619,f648,f642,f658,f649,f664,f665,f641,f666,f667,f671,f672,f679,f678,f677,f676,f675,f674,f673,f725,f25,f737]) ).

fof(f736,plain,
    ( ~ spl0_5
    | spl0_7
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f735]) ).

fof(f735,plain,
    ( $false
    | ~ spl0_5
    | spl0_7
    | spl0_8 ),
    inference(global_subsumption,[],[f734,f1,f2,f15,f3,f33,f31,f29,f20,f10,f5,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f27,f22,f12,f7,f184,f500,f501,f502,f503,f515,f519,f513,f550,f552,f9,f11,f13,f18,f16,f14,f617,f618,f645,f619,f648,f642,f658,f649,f664,f665,f641,f666,f667,f671,f672,f679,f678,f677,f676,f675,f674,f673,f725,f25]) ).

fof(f733,plain,
    ( ~ spl0_5
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f732]) ).

fof(f732,plain,
    ( $false
    | ~ spl0_5
    | spl0_7 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f31,f29,f20,f10,f5,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f27,f22,f12,f7,f184,f500,f501,f502,f503,f515,f519,f513,f550,f552,f9,f11,f13,f18,f16,f14,f617,f618,f645,f619,f648,f642,f658,f649,f664,f665,f641,f666,f667,f671,f672,f679,f678,f677,f676,f675,f674,f673,f725,f25]) ).

fof(f731,plain,
    ( ~ spl0_4
    | ~ spl0_5
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f730]) ).

fof(f730,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_5
    | spl0_7 ),
    inference(global_subsumption,[],[f324,f1,f2,f15,f3,f33,f31,f29,f25,f20,f10,f5,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f27,f22,f12,f7,f184,f500,f501,f502,f503,f515,f519,f513,f550,f552,f9,f11,f13,f18,f16,f14,f617,f618,f645,f619,f648,f642,f658,f649,f664,f665,f641,f666,f667,f671,f672,f679,f678,f677,f676,f675,f674,f673,f725]) ).

fof(f729,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f728]) ).

fof(f728,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | spl0_7 ),
    inference(global_subsumption,[],[f636,f1,f2,f15,f3,f33,f31,f29,f25,f20,f10,f5,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f27,f22,f12,f7,f184,f500,f501,f502,f503,f515,f519,f513,f550,f552,f9,f11,f13,f18,f16,f14,f617,f618,f645,f619,f648,f642,f658,f649,f664,f665,f641,f666,f667,f671,f672,f679,f678,f677,f676,f675,f674,f673,f725]) ).

fof(f727,plain,
    ( ~ spl0_5
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f726]) ).

fof(f726,plain,
    ( $false
    | ~ spl0_5
    | spl0_7 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f31,f29,f25,f20,f10,f5,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f27,f22,f12,f7,f184,f500,f501,f502,f503,f515,f519,f513,f550,f552,f9,f11,f13,f18,f16,f14,f617,f618,f645,f619,f648,f642,f658,f649,f664,f665,f641,f666,f667,f671,f672,f679,f678,f677,f676,f675,f674,f673,f725]) ).

fof(f724,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f723]) ).

fof(f723,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | spl0_7 ),
    inference(global_subsumption,[],[f638,f1,f2,f15,f3,f33,f31,f29,f25,f20,f10,f5,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f27,f22,f12,f7,f184,f500,f501,f502,f503,f515,f519,f513,f550,f552,f9,f11,f13,f18,f16,f14,f617,f618,f645,f619,f648,f642,f658,f649,f664,f665,f641,f666,f667,f671,f672,f679,f678,f677,f676,f675,f674,f673]) ).

fof(f722,plain,
    ( ~ spl0_4
    | ~ spl0_5
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f721]) ).

fof(f721,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_5
    | spl0_7 ),
    inference(global_subsumption,[],[f720,f1,f2,f15,f3,f33,f31,f29,f25,f20,f10,f5,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f27,f22,f12,f7,f184,f500,f501,f502,f503,f515,f519,f513,f550,f552,f9,f11,f13,f18,f16,f14,f617,f618,f645,f619,f648,f642,f658,f649,f664,f665,f641,f666,f667,f671,f672,f679,f678,f677,f676,f675,f674,f673]) ).

fof(f720,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c5,multiply(sk_c2,X0))
    | ~ spl0_4
    | ~ spl0_5
    | spl0_7 ),
    inference(forward_demodulation,[],[f653,f671]) ).

fof(f719,plain,
    ( ~ spl0_4
    | ~ spl0_5
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f718]) ).

fof(f718,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_5
    | spl0_7 ),
    inference(global_subsumption,[],[f717,f1,f2,f15,f3,f33,f31,f29,f25,f20,f10,f5,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f27,f22,f12,f7,f184,f500,f501,f502,f503,f515,f519,f513,f550,f552,f9,f11,f13,f18,f16,f14,f617,f618,f645,f619,f648,f642,f658,f649,f664,f665,f641,f666,f667,f671,f672,f679,f678,f677,f676,f675,f674,f673]) ).

fof(f717,plain,
    ( multiply(sk_c7,identity) = multiply(sk_c5,sk_c2)
    | ~ spl0_4
    | ~ spl0_5
    | spl0_7 ),
    inference(forward_demodulation,[],[f657,f671]) ).

fof(f716,plain,
    ( ~ spl0_4
    | ~ spl0_5
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f715]) ).

fof(f715,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_5
    | spl0_7 ),
    inference(global_subsumption,[],[f427,f1,f2,f15,f3,f33,f31,f29,f25,f20,f10,f5,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f27,f22,f12,f7,f184,f500,f501,f502,f503,f515,f519,f513,f550,f552,f9,f11,f13,f18,f16,f14,f617,f618,f645,f619,f648,f642,f658,f649,f664,f665,f641,f666,f667,f671,f672,f679,f678,f677,f676,f675,f674,f673]) ).

fof(f714,plain,
    ( ~ spl0_5
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f713]) ).

fof(f713,plain,
    ( $false
    | ~ spl0_5
    | spl0_7 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f31,f29,f25,f20,f10,f5,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f27,f22,f12,f7,f184,f500,f501,f502,f503,f515,f519,f513,f550,f552,f9,f11,f13,f18,f16,f14,f617,f618,f645,f619,f648,f642,f658,f649,f664,f665,f641,f666,f667,f671,f672,f679,f678,f677,f676,f675,f674,f673]) ).

fof(f712,plain,
    ( ~ spl0_5
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f711]) ).

fof(f711,plain,
    ( $false
    | ~ spl0_5
    | spl0_7 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f31,f29,f25,f20,f10,f5,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f27,f22,f12,f7,f184,f500,f501,f502,f503,f515,f519,f513,f550,f552,f9,f11,f13,f18,f16,f14,f617,f618,f645,f619,f648,f642,f658,f649,f664,f665,f641,f666,f667,f671,f672,f679,f678,f677,f676,f675,f674]) ).

fof(f710,plain,
    ( spl0_1
    | ~ spl0_5
    | spl0_7
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f709]) ).

fof(f709,plain,
    ( $false
    | spl0_1
    | ~ spl0_5
    | spl0_7
    | spl0_8 ),
    inference(global_subsumption,[],[f675,f1,f2,f15,f37,f45,f46,f47,f48,f49,f50,f3,f54,f55,f56,f57,f64,f33,f31,f29,f25,f20,f10,f5,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f27,f22,f12,f7,f523,f9,f620,f11,f621,f13,f622,f629,f630,f631,f18,f632,f16,f633,f14,f634]) ).

fof(f57,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c5,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f49]) ).

fof(f56,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c7,multiply(sk_c6,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f47]) ).

fof(f55,plain,
    ( ! [X0] : multiply(sk_c2,multiply(sk_c7,X0)) = multiply(sk_c5,X0)
    | spl0_1 ),
    inference(superposition,[],[f3,f50]) ).

fof(f708,plain,
    ( spl0_1
    | ~ spl0_5
    | spl0_7
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f707]) ).

fof(f707,plain,
    ( $false
    | spl0_1
    | ~ spl0_5
    | spl0_7
    | spl0_8 ),
    inference(global_subsumption,[],[f676,f1,f2,f15,f37,f45,f46,f47,f48,f49,f50,f3,f54,f55,f56,f57,f64,f33,f31,f29,f25,f20,f10,f5,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f27,f22,f12,f7,f523,f9,f620,f11,f621,f13,f622,f629,f630,f631,f18,f632,f16,f633,f14,f634]) ).

fof(f706,plain,
    ( spl0_1
    | ~ spl0_5
    | spl0_7
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f705]) ).

fof(f705,plain,
    ( $false
    | spl0_1
    | ~ spl0_5
    | spl0_7
    | spl0_8 ),
    inference(global_subsumption,[],[f677,f1,f2,f15,f37,f45,f46,f47,f48,f49,f50,f3,f54,f55,f56,f57,f64,f33,f31,f29,f25,f20,f10,f5,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f27,f22,f12,f7,f523,f9,f620,f11,f621,f13,f622,f629,f630,f631,f18,f632,f16,f633,f14,f634]) ).

fof(f704,plain,
    ( spl0_1
    | ~ spl0_5
    | spl0_7
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f703]) ).

fof(f703,plain,
    ( $false
    | spl0_1
    | ~ spl0_5
    | spl0_7
    | spl0_8 ),
    inference(global_subsumption,[],[f678,f1,f2,f15,f37,f45,f46,f47,f48,f49,f50,f3,f54,f55,f56,f57,f64,f33,f31,f29,f25,f20,f10,f5,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f27,f22,f12,f7,f523,f9,f620,f11,f621,f13,f622,f629,f630,f631,f18,f632,f16,f633,f14,f634]) ).

fof(f702,plain,
    ( spl0_1
    | ~ spl0_5
    | spl0_7
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f701]) ).

fof(f701,plain,
    ( $false
    | spl0_1
    | ~ spl0_5
    | spl0_7
    | spl0_8 ),
    inference(global_subsumption,[],[f679,f1,f2,f15,f37,f45,f46,f47,f48,f49,f50,f3,f54,f55,f56,f57,f64,f33,f31,f29,f25,f20,f10,f5,f30,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f27,f22,f12,f7,f523,f9,f620,f11,f621,f13,f622,f629,f630,f631,f18,f632,f16,f633,f14,f634]) ).

fof(f700,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f699]) ).

fof(f699,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | spl0_7 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f31,f29,f25,f20,f10,f5,f30,f38,f172,f174,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f439,f425,f312,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f27,f22,f12,f7,f184,f500,f501,f502,f503,f515,f519,f322,f541,f543,f513,f550,f552,f9,f11,f13,f18,f16,f14,f617,f618,f643,f645,f619,f648,f646,f652,f642,f654,f655,f656,f658,f649,f664,f665,f641,f666,f667,f651,f669,f670,f671,f672,f681,f683,f685,f676,f677,f678,f695,f698]) ).

fof(f698,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_5
    | spl0_7 ),
    inference(forward_demodulation,[],[f680,f2]) ).

fof(f680,plain,
    ( sk_c7 = multiply(inverse(sk_c7),sk_c7)
    | ~ spl0_1
    | ~ spl0_5
    | spl0_7 ),
    inference(superposition,[],[f651,f671]) ).

fof(f695,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_1
    | ~ spl0_5
    | spl0_7 ),
    inference(forward_demodulation,[],[f694,f671]) ).

fof(f694,plain,
    ( sk_c6 = sk_c5
    | ~ spl0_1
    | ~ spl0_5
    | spl0_7 ),
    inference(forward_demodulation,[],[f679,f646]) ).

fof(f685,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_1
    | ~ spl0_5
    | spl0_7 ),
    inference(forward_demodulation,[],[f684,f671]) ).

fof(f684,plain,
    ( sk_c6 = sk_c5
    | ~ spl0_1
    | ~ spl0_5
    | spl0_7 ),
    inference(forward_demodulation,[],[f675,f646]) ).

fof(f683,plain,
    ( sk_c7 != sk_c5
    | ~ spl0_1
    | ~ spl0_5
    | spl0_7 ),
    inference(forward_demodulation,[],[f682,f671]) ).

fof(f682,plain,
    ( sk_c6 != sk_c5
    | ~ spl0_1
    | ~ spl0_5
    | spl0_7 ),
    inference(forward_demodulation,[],[f674,f646]) ).

fof(f681,plain,
    ( sk_c3 = sk_c4
    | ~ spl0_1
    | ~ spl0_5
    | spl0_7 ),
    inference(forward_demodulation,[],[f673,f322]) ).

fof(f670,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(inverse(sk_c7),multiply(sk_c6,X0))
    | ~ spl0_1
    | spl0_7 ),
    inference(superposition,[],[f3,f651]) ).

fof(f669,plain,
    ( sk_c6 = multiply(inverse(inverse(sk_c7)),sk_c7)
    | ~ spl0_1
    | spl0_7 ),
    inference(superposition,[],[f60,f651]) ).

fof(f651,plain,
    ( sk_c7 = multiply(inverse(sk_c7),sk_c6)
    | ~ spl0_1
    | spl0_7 ),
    inference(superposition,[],[f60,f646]) ).

fof(f656,plain,
    ( multiply(sk_c6,identity) = multiply(sk_c5,sk_c3)
    | ~ spl0_1
    | spl0_7 ),
    inference(superposition,[],[f642,f172]) ).

fof(f655,plain,
    ( multiply(sk_c6,sk_c6) = multiply(sk_c5,sk_c7)
    | ~ spl0_1
    | spl0_7 ),
    inference(superposition,[],[f642,f646]) ).

fof(f654,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c5,multiply(sk_c3,X0))
    | ~ spl0_1
    | spl0_7 ),
    inference(superposition,[],[f642,f174]) ).

fof(f652,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c7,X0))
    | ~ spl0_1
    | spl0_7 ),
    inference(superposition,[],[f3,f646]) ).

fof(f646,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | spl0_7 ),
    inference(forward_demodulation,[],[f644,f38]) ).

fof(f643,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | spl0_7 ),
    inference(superposition,[],[f174,f618]) ).

fof(f697,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f696]) ).

fof(f696,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | spl0_7 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f31,f29,f25,f20,f10,f5,f30,f38,f172,f174,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f439,f425,f312,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f27,f22,f12,f7,f184,f500,f501,f502,f503,f515,f519,f322,f541,f543,f513,f550,f552,f9,f11,f13,f18,f16,f14,f617,f618,f643,f645,f619,f648,f646,f652,f642,f654,f655,f656,f658,f649,f664,f665,f641,f666,f667,f651,f669,f670,f671,f672,f681,f683,f685,f676,f677,f678,f695]) ).

fof(f693,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f692]) ).

fof(f692,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | spl0_7 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f31,f29,f25,f20,f10,f5,f30,f38,f172,f174,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f439,f425,f312,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f27,f22,f12,f7,f184,f500,f501,f502,f503,f515,f519,f322,f541,f543,f513,f550,f552,f9,f11,f13,f18,f16,f14,f617,f618,f643,f645,f619,f648,f646,f652,f642,f654,f655,f656,f658,f649,f664,f665,f641,f666,f667,f651,f669,f670,f671,f672,f681,f683,f685,f676,f677,f678]) ).

fof(f691,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f690]) ).

fof(f690,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | spl0_7 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f31,f29,f25,f20,f10,f5,f30,f38,f172,f174,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f439,f425,f312,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f27,f22,f12,f7,f184,f500,f501,f502,f503,f515,f519,f322,f541,f543,f513,f550,f552,f9,f11,f13,f18,f16,f14,f617,f618,f643,f645,f619,f648,f646,f652,f642,f654,f655,f656,f658,f649,f664,f665,f641,f666,f667,f651,f669,f670,f671,f672,f681,f683,f685,f676,f677]) ).

fof(f689,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f688]) ).

fof(f688,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | spl0_7 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f31,f29,f25,f20,f10,f5,f30,f38,f172,f174,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f439,f425,f312,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f27,f22,f12,f7,f184,f500,f501,f502,f503,f515,f519,f322,f541,f543,f513,f550,f552,f9,f11,f13,f18,f16,f14,f617,f618,f643,f645,f619,f648,f646,f652,f642,f654,f655,f656,f658,f649,f664,f665,f641,f666,f667,f651,f669,f670,f671,f672,f681,f683,f685,f676]) ).

fof(f687,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f686]) ).

fof(f686,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | spl0_7 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f31,f29,f25,f20,f10,f5,f30,f38,f172,f174,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f439,f425,f312,f17,f19,f21,f23,f24,f26,f28,f34,f8,f6,f4,f27,f22,f12,f7,f184,f500,f501,f502,f503,f515,f519,f322,f541,f543,f513,f550,f552,f9,f11,f13,f18,f16,f14,f617,f618,f643,f645,f619,f648,f646,f652,f642,f654,f655,f656,f658,f649,f664,f665,f641,f666,f667,f651,f669,f670,f671,f672,f681,f683,f685]) ).

fof(f616,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f615]) ).

fof(f615,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_7 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f33,f31,f29,f25,f20,f10,f5,f30,f38,f172,f174,f32,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f439,f425,f312,f17,f479,f14,f16,f18,f19,f483,f21,f484,f23,f485,f24,f486,f26,f487,f28,f488,f34,f13,f490,f11,f491,f9,f492,f8,f493,f6,f494,f4,f495,f27,f496,f22,f497,f12,f498,f7,f499,f41,f184,f500,f501,f502,f480,f481,f506,f508,f482,f511,f503,f515,f489,f519,f509,f537,f538,f512,f539,f540,f322,f541,f543,f504,f548,f549,f513,f550,f552,f505,f554,f556,f558,f561,f566,f567,f568,f569,f573,f582,f584,f578,f581,f589,f583,f603,f596,f607,f610,f611,f612,f614]) ).

fof(f614,plain,
    ( identity != sk_c5
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_7 ),
    inference(forward_demodulation,[],[f613,f1]) ).

fof(f613,plain,
    ( sk_c5 != multiply(identity,identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_7 ),
    inference(forward_demodulation,[],[f601,f567]) ).

fof(f601,plain,
    ( sk_c5 != multiply(sk_c7,identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_7 ),
    inference(superposition,[],[f519,f583]) ).

fof(f584,plain,
    ( sk_c6 != sk_c5
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_7 ),
    inference(forward_demodulation,[],[f576,f1]) ).

fof(f576,plain,
    ( sk_c5 != multiply(identity,sk_c6)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_7 ),
    inference(superposition,[],[f519,f567]) ).

fof(f536,plain,
    ( ~ spl0_7
    | ~ spl0_8
    | spl0_9
    | spl0_10
    | spl0_11
    | spl0_12
    | spl0_2 ),
    inference(avatar_split_clause,[],[f489,f40,f534,f531,f528,f525,f521,f517]) ).

fof(f525,plain,
    ( spl0_9
  <=> ! [X4] :
        ( sk_c7 != inverse(X4)
        | sk_c5 != multiply(X4,sk_c7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f531,plain,
    ( spl0_11
  <=> ! [X5] :
        ( sk_c7 != inverse(X5)
        | sk_c7 != multiply(X5,sk_c6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f478,plain,
    ( spl0_2
    | spl0_5 ),
    inference(avatar_contradiction_clause,[],[f477]) ).

fof(f477,plain,
    ( $false
    | spl0_2
    | spl0_5 ),
    inference(global_subsumption,[],[f17,f1,f2,f15,f3,f34,f13,f11,f9,f8,f6,f4,f33,f31,f29,f27,f25,f22,f20,f12,f10,f7,f5,f30,f32,f183,f191,f193,f60,f308,f315,f305,f437,f428,f443,f453,f445,f442,f388,f465,f321,f316,f28,f467,f26,f468,f24,f469,f23,f470,f21,f471,f19,f472,f195,f192,f202,f199,f18,f473,f16,f474,f14,f475,f476,f41]) ).

fof(f464,plain,
    ( spl0_6
    | spl0_6
    | spl0_6
    | spl0_6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(avatar_split_clause,[],[f411,f182,f178,f40,f36,f462,f462,f462,f462]) ).

fof(f411,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(X5,identity)
        | identity != multiply(X3,identity)
        | identity != multiply(X6,identity)
        | identity != multiply(X4,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f410,f341]) ).

fof(f410,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != multiply(X5,sk_c7)
        | identity != multiply(X3,identity)
        | identity != multiply(X6,identity)
        | identity != multiply(X4,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f409,f206]) ).

fof(f409,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(X3,identity)
        | identity != multiply(X6,identity)
        | identity != multiply(X4,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f408,f341]) ).

fof(f408,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != multiply(X3,identity)
        | identity != multiply(X6,identity)
        | identity != multiply(X4,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f407,f206]) ).

fof(f407,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c6 != multiply(X3,identity)
        | identity != multiply(X6,identity)
        | identity != multiply(X4,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f406,f341]) ).

fof(f406,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(X6,identity)
        | identity != multiply(X4,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f405,f341]) ).

fof(f405,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != multiply(X6,identity)
        | identity != multiply(X4,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f404,f206]) ).

fof(f404,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c6 != multiply(X6,identity)
        | identity != multiply(X4,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f403,f341]) ).

fof(f403,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c6 != multiply(X6,sk_c7)
        | identity != multiply(X4,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f402,f196]) ).

fof(f402,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(X4,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(subsumption_resolution,[],[f401,f200]) ).

fof(f401,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c6 != multiply(sk_c7,sk_c7)
        | identity != multiply(X4,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f400,f196]) ).

fof(f400,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(X4,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f399,f341]) ).

fof(f399,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != multiply(X4,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f398,f196]) ).

fof(f398,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c5 != multiply(X4,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f397,f341]) ).

fof(f397,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c5 != multiply(X4,sk_c7)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(subsumption_resolution,[],[f396,f385]) ).

fof(f385,plain,
    ( identity = sk_c5
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f383,f232]) ).

fof(f232,plain,
    ( identity = multiply(sk_c7,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(superposition,[],[f188,f224]) ).

fof(f224,plain,
    ( identity = multiply(sk_c2,identity)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_5 ),
    inference(superposition,[],[f205,f172]) ).

fof(f383,plain,
    ( sk_c5 = multiply(sk_c7,identity)
    | ~ spl0_2
    | spl0_5 ),
    inference(superposition,[],[f191,f345]) ).

fof(f396,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != sk_c5
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c5 != multiply(X4,sk_c7)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f395,f232]) ).

fof(f395,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c5 != multiply(sk_c7,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c5 != multiply(X4,sk_c7)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f394,f206]) ).

fof(f394,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c5 != multiply(sk_c6,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c5 != multiply(X4,sk_c7)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f393,f341]) ).

fof(f393,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c5 != multiply(sk_c6,sk_c7)
        | sk_c5 != multiply(X4,sk_c7)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f392,f341]) ).

fof(f392,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c7 != inverse(X4)
        | sk_c5 != multiply(sk_c6,sk_c7)
        | sk_c5 != multiply(X4,sk_c7)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f391,f341]) ).

fof(f391,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c5 != multiply(sk_c6,sk_c7)
        | sk_c5 != multiply(X4,sk_c7)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f390,f341]) ).

fof(f390,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != inverse(X6)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c5 != multiply(sk_c6,sk_c7)
        | sk_c5 != multiply(X4,sk_c7)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f389,f341]) ).

fof(f389,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != inverse(X6)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c5 != multiply(sk_c6,sk_c7)
        | sk_c5 != multiply(X4,sk_c7)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f388,f206]) ).

fof(f185,plain,
    ( spl0_4
    | spl0_5 ),
    inference(avatar_split_clause,[],[f32,f182,f178]) ).

fof(f171,plain,
    ( spl0_3
    | spl0_3
    | spl0_3
    | spl0_3
    | spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f122,f40,f36,f169,f169,f169,f169]) ).

fof(f122,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != multiply(X5,sk_c7)
        | sk_c7 != multiply(X3,sk_c7)
        | sk_c7 != inverse(X6)
        | sk_c7 != multiply(X6,sk_c7)
        | sk_c7 != multiply(X4,sk_c7)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f121,f77]) ).

fof(f121,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != multiply(X3,sk_c7)
        | sk_c7 != inverse(X6)
        | sk_c7 != multiply(X6,sk_c7)
        | sk_c7 != multiply(X4,sk_c7)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c7 != multiply(X5,sk_c6) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f120,f77]) ).

fof(f120,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != inverse(X6)
        | sk_c7 != multiply(X6,sk_c7)
        | sk_c7 != multiply(X4,sk_c7)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c7 != multiply(X5,sk_c6) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f119,f77]) ).

fof(f119,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != multiply(X6,sk_c7)
        | sk_c7 != multiply(X4,sk_c7)
        | sk_c6 != inverse(X6)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c7 != multiply(X5,sk_c6) )
    | spl0_1
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f118,f75]) ).

fof(f118,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != multiply(sk_c7,sk_c7)
        | sk_c7 != multiply(X6,sk_c7)
        | sk_c7 != multiply(X4,sk_c7)
        | sk_c6 != inverse(X6)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c7 != multiply(X5,sk_c6) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f117,f77]) ).

fof(f117,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != multiply(X6,sk_c7)
        | sk_c7 != multiply(X4,sk_c7)
        | sk_c7 != multiply(sk_c6,sk_c7)
        | sk_c6 != inverse(X6)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c7 != multiply(X5,sk_c6) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f84,f77]) ).

fof(f84,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c6 != multiply(X6,sk_c7)
        | sk_c7 != multiply(X4,sk_c7)
        | sk_c7 != multiply(sk_c6,sk_c7)
        | sk_c6 != inverse(X6)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c7 != multiply(X5,sk_c6) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f83,f68]) ).

fof(f83,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != multiply(X4,sk_c7)
        | sk_c7 != multiply(sk_c6,sk_c7)
        | sk_c6 != inverse(X6)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c7 != multiply(X5,sk_c6) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f82,f68]) ).

fof(f82,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != multiply(sk_c6,sk_c7)
        | sk_c6 != inverse(X6)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c5 != multiply(X4,sk_c7)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c7 != multiply(X5,sk_c6) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f81,f68]) ).

fof(f81,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c6 != inverse(X6)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c5 != multiply(sk_c6,sk_c7)
        | sk_c5 != multiply(X4,sk_c7)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c7 != multiply(X5,sk_c6) )
    | spl0_1 ),
    inference(subsumption_resolution,[],[f80,f47]) ).

fof(f80,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c6 != inverse(X6)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c5 != multiply(sk_c6,sk_c7)
        | sk_c5 != multiply(X4,sk_c7)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c7 != multiply(X5,sk_c6)
        | multiply(sk_c7,sk_c6) != sk_c5 )
    | spl0_1 ),
    inference(subsumption_resolution,[],[f34,f49]) ).

fof(f43,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f15,f40,f36]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : GRP295-1 : TPTP v8.1.2. Released v2.5.0.
% 0.03/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35  % Computer : n003.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Fri May  3 20:39:08 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  % (6991)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.38  % (6994)WARNING: value z3 for option sas not known
% 0.21/0.38  % (6996)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)
% 0.21/0.38  % (6992)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.38  % (6995)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.38  % (6998)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)
% 0.21/0.38  % (6994)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)
% 0.21/0.38  % (6997)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)
% 0.21/0.38  % (6993)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.38  TRYING [1]
% 0.21/0.38  TRYING [2]
% 0.21/0.38  TRYING [1]
% 0.21/0.38  TRYING [3]
% 0.21/0.38  TRYING [2]
% 0.21/0.39  TRYING [3]
% 0.21/0.39  TRYING [4]
% 0.21/0.41  TRYING [4]
% 0.21/0.41  TRYING [5]
% 0.21/0.45  TRYING [6]
% 0.21/0.50  TRYING [5]
% 0.21/0.50  % (6994)First to succeed.
% 0.21/0.52  TRYING [7]
% 0.21/0.52  % (6994)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-6991"
% 0.21/0.52  % (6994)Refutation found. Thanks to Tanya!
% 0.21/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.53  % (6994)------------------------------
% 0.21/0.53  % (6994)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.53  % (6994)Termination reason: Refutation
% 0.21/0.53  
% 0.21/0.53  % (6994)Memory used [KB]: 2375
% 0.21/0.53  % (6994)Time elapsed: 0.146 s
% 0.21/0.53  % (6994)Instructions burned: 314 (million)
% 0.21/0.53  % (6991)Success in time 0.171 s
%------------------------------------------------------------------------------