%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GRP252-1 : 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 : n017.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Apr 30 11:54:41 EDT 2024

% Result   : Unsatisfiable 1.26s 0.53s
% Output   : Refutation 1.33s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
fof(f2649,plain,
    $false,
    inference(avatar_sat_refutation,[],[f56,f109,f157,f176,f190,f222,f230,f232,f234,f236,f238,f240,f242,f245,f247,f249,f251,f253,f292,f317,f326,f344,f351,f367,f388,f567,f570,f574,f689,f743,f746,f748,f750,f752,f754,f756,f758,f761,f765,f770,f775,f780,f782,f784,f787,f790,f792,f795,f797,f799,f801,f803,f806,f809,f812,f814,f818,f822,f825,f828,f831,f834,f836,f839,f842,f845,f848,f850,f1046,f1049,f1052,f1056,f1142,f1149,f1153,f1446,f1516,f1524,f1567,f1569,f1578,f1581,f1583,f1585,f1587,f1589,f1591,f1593,f1596,f1599,f1601,f1604,f1606,f1608,f1610,f1613,f1615,f1617,f1619,f1621,f1623,f1626,f1628,f1630,f1632,f1634,f1637,f1640,f1642,f1701,f1720,f1752,f1923,f1927,f1933,f1942,f1947,f1955,f1960,f1965,f1967,f1969,f1971,f1975,f1977,f1979,f1981,f1983,f1985,f1987,f1989,f1991,f1994,f1997,f2001,f2005,f2009,f2013,f2018,f2024,f2030,f2036,f2041,f2045,f2047,f2049,f2051,f2053,f2055,f2057,f2059,f2061,f2064,f2066,f2069,f2081,f2086,f2153,f2158,f2163,f2166,f2168,f2170,f2172,f2174,f2252,f2256,f2262,f2301,f2310,f2315,f2319,f2372,f2464,f2469,f2472,f2476,f2482,f2515,f2517,f2522,f2524,f2527,f2529,f2531,f2533,f2537,f2539,f2543,f2545,f2550,f2555,f2559,f2574,f2576,f2578,f2581,f2583,f2585,f2587,f2589,f2591,f2593,f2595,f2597,f2599,f2601,f2603,f2605,f2608,f2610,f2612,f2614,f2616,f2618,f2620,f2622,f2626,f2628,f2630,f2633,f2635,f2637,f2640,f2644,f2648]) ).

fof(f2648,plain,
    ( ~ spl0_3
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2647]) ).

fof(f2647,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f47,f28,f35,f32,f34,f36,f37,f14,f38,f96,f362,f363,f364,f76,f517,f529,f738,f832,f829,f826,f728,f788,f785,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f514,f1483,f1531,f1547,f29,f40,f19,f5,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f342,f1474,f1881,f1891,f2011,f2003,f1999,f1995,f2091,f2093,f2099,f2101,f2103,f2109,f2111,f2294,f2291,f2288,f2285,f2283,f2281,f2278,f2275,f513,f1883,f1880,f2367,f2557,f2624,f2546,f2317,f2631,f2306,f2305,f2638,f2642,f2646]) ).

fof(f2646,plain,
    ( ! [X4] :
        ( identity != inverse(X4)
        | sk_c8 != multiply(X4,identity) )
    | ~ spl0_3
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f2645,f342]) ).

fof(f2645,plain,
    ( ! [X4] :
        ( sk_c8 != multiply(X4,identity)
        | sk_c9 != inverse(X4) )
    | ~ spl0_3
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f96,f342]) ).

fof(f2642,plain,
    ( identity != inverse(identity)
    | identity != sk_c8
    | ~ spl0_3
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f2641,f342]) ).

fof(f2641,plain,
    ( identity != sk_c8
    | sk_c9 != inverse(identity)
    | ~ spl0_3
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f362,f342]) ).

fof(f2638,plain,
    ( identity != inverse(inverse(identity))
    | identity != sk_c8
    | ~ spl0_3
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f363,f342]) ).

fof(f2305,plain,
    ( ! [X4] :
        ( identity != inverse(X4)
        | sk_c8 != multiply(X4,identity) )
    | ~ spl0_3
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1948,f342]) ).

fof(f1948,plain,
    ( ! [X4] :
        ( sk_c8 != multiply(X4,identity)
        | sk_c9 != inverse(X4) )
    | ~ spl0_3
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f96,f342]) ).

fof(f2306,plain,
    ( identity != inverse(inverse(identity))
    | identity != sk_c8
    | ~ spl0_3
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f363,f342]) ).

fof(f2631,plain,
    ( identity != inverse(identity)
    | identity != sk_c8
    | ~ spl0_3
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f2311,f342]) ).

fof(f2311,plain,
    ( identity != sk_c8
    | sk_c9 != inverse(identity)
    | ~ spl0_3
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f362,f342]) ).

fof(f2317,plain,
    ( ! [X4] :
        ( identity != inverse(X4)
        | sk_c8 != multiply(X4,identity) )
    | ~ spl0_3
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f2316,f342]) ).

fof(f2316,plain,
    ( ! [X4] :
        ( sk_c8 != multiply(X4,identity)
        | sk_c9 != inverse(X4) )
    | ~ spl0_3
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f96,f342]) ).

fof(f2546,plain,
    ( identity != inverse(inverse(identity))
    | identity != sk_c8
    | ~ spl0_3
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f363,f342]) ).

fof(f2624,plain,
    ( identity != inverse(identity)
    | identity != sk_c8
    | ~ spl0_3
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f2551,f342]) ).

fof(f2551,plain,
    ( identity != sk_c8
    | sk_c9 != inverse(identity)
    | ~ spl0_3
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f362,f342]) ).

fof(f2557,plain,
    ( ! [X4] :
        ( identity != inverse(X4)
        | sk_c8 != multiply(X4,identity) )
    | ~ spl0_3
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f2556,f342]) ).

fof(f2556,plain,
    ( ! [X4] :
        ( sk_c8 != multiply(X4,identity)
        | sk_c9 != inverse(X4) )
    | ~ spl0_3
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f96,f342]) ).

fof(f2367,plain,
    ( identity = sk_c8
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f2365]) ).

fof(f2365,plain,
    ( spl0_16
  <=> identity = sk_c8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f1880,plain,
    identity = inverse(identity),
    inference(superposition,[],[f1474,f514]) ).

fof(f1883,plain,
    identity = inverse(identity),
    inference(superposition,[],[f514,f1474]) ).

fof(f513,plain,
    ! [X0] : multiply(inverse(identity),X0) = X0,
    inference(superposition,[],[f76,f1]) ).

fof(f2275,plain,
    ( identity = multiply(sk_c3,sk_c8)
    | sk_c8 = inverse(sk_c5)
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f42,f342]) ).

fof(f2278,plain,
    ( identity = multiply(sk_c3,sk_c8)
    | identity = multiply(sk_c5,sk_c8)
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f2025,f342]) ).

fof(f2025,plain,
    ( identity = multiply(sk_c5,sk_c8)
    | sk_c9 = multiply(sk_c3,sk_c8)
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f41,f342]) ).

fof(f2281,plain,
    ( identity = multiply(sk_c8,sk_c7)
    | identity = multiply(sk_c3,sk_c8)
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f2280,f342]) ).

fof(f2280,plain,
    ( identity = multiply(sk_c3,sk_c8)
    | sk_c9 = multiply(sk_c8,sk_c7)
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f43,f342]) ).

fof(f2283,plain,
    ( identity = multiply(sk_c3,sk_c8)
    | sk_c7 = multiply(sk_c6,sk_c8)
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f44,f342]) ).

fof(f2285,plain,
    ( identity = inverse(sk_c3)
    | sk_c8 = inverse(sk_c5)
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f35,f342]) ).

fof(f2288,plain,
    ( identity = inverse(sk_c3)
    | sk_c7 = multiply(sk_c6,sk_c8)
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f37,f342]) ).

fof(f2291,plain,
    ( identity = multiply(sk_c8,sk_c7)
    | identity = inverse(sk_c3)
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f2290,f342]) ).

fof(f2290,plain,
    ( identity = inverse(sk_c3)
    | sk_c9 = multiply(sk_c8,sk_c7)
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f36,f342]) ).

fof(f2294,plain,
    ( identity = multiply(sk_c5,sk_c8)
    | identity = inverse(sk_c3)
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f2293,f342]) ).

fof(f2293,plain,
    ( identity = inverse(sk_c3)
    | sk_c9 = multiply(sk_c5,sk_c8)
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f34,f342]) ).

fof(f2111,plain,
    ( sk_c8 = multiply(sk_c2,identity)
    | sk_c10 = inverse(sk_c4)
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f19,f342]) ).

fof(f2109,plain,
    ( identity = inverse(sk_c2)
    | sk_c10 = inverse(sk_c4)
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f26,f342]) ).

fof(f2103,plain,
    ( sk_c8 = multiply(sk_c2,identity)
    | sk_c8 = inverse(sk_c5)
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f21,f342]) ).

fof(f2101,plain,
    ( sk_c8 = multiply(sk_c2,identity)
    | sk_c7 = multiply(sk_c6,sk_c8)
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f23,f342]) ).

fof(f2099,plain,
    ( identity = multiply(sk_c5,sk_c8)
    | sk_c8 = multiply(sk_c2,identity)
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f2098,f342]) ).

fof(f2098,plain,
    ( sk_c8 = multiply(sk_c2,identity)
    | sk_c9 = multiply(sk_c5,sk_c8)
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f20,f342]) ).

fof(f2093,plain,
    ( identity = multiply(sk_c8,sk_c7)
    | sk_c8 = multiply(sk_c2,identity)
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f2092,f342]) ).

fof(f2092,plain,
    ( sk_c8 = multiply(sk_c2,identity)
    | sk_c9 = multiply(sk_c8,sk_c7)
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f22,f342]) ).

fof(f2091,plain,
    ( identity = multiply(sk_c4,sk_c10)
    | sk_c8 = multiply(sk_c2,identity)
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f2090,f342]) ).

fof(f2090,plain,
    ( sk_c8 = multiply(sk_c2,identity)
    | sk_c9 = multiply(sk_c4,sk_c10)
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f18,f342]) ).

fof(f1995,plain,
    ( identity = inverse(sk_c2)
    | sk_c7 = multiply(sk_c6,sk_c8)
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f30,f342]) ).

fof(f1999,plain,
    ( identity = multiply(sk_c5,sk_c8)
    | identity = inverse(sk_c2)
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1998,f342]) ).

fof(f1998,plain,
    ( identity = inverse(sk_c2)
    | sk_c9 = multiply(sk_c5,sk_c8)
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f27,f342]) ).

fof(f2003,plain,
    ( identity = multiply(sk_c8,sk_c7)
    | identity = inverse(sk_c2)
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f2002,f342]) ).

fof(f2002,plain,
    ( identity = inverse(sk_c2)
    | sk_c9 = multiply(sk_c8,sk_c7)
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f29,f342]) ).

fof(f2011,plain,
    ( identity = multiply(sk_c4,sk_c10)
    | identity = inverse(sk_c2)
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f2010,f342]) ).

fof(f2010,plain,
    ( identity = inverse(sk_c2)
    | sk_c9 = multiply(sk_c4,sk_c10)
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f25,f342]) ).

fof(f1891,plain,
    ! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f1882,f1]) ).

fof(f1882,plain,
    ! [X0,X1] : multiply(identity,X1) = multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)),
    inference(superposition,[],[f3,f1474]) ).

fof(f1881,plain,
    ! [X0] : multiply(inverse(inverse(inverse(inverse(X0)))),identity) = X0,
    inference(superposition,[],[f76,f1474]) ).

fof(f1474,plain,
    ! [X0] : identity = multiply(inverse(inverse(inverse(X0))),X0),
    inference(superposition,[],[f76,f514]) ).

fof(f342,plain,
    ( identity = sk_c9
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f341]) ).

fof(f341,plain,
    ( spl0_15
  <=> identity = sk_c9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f7,axiom,
    ( sk_c8 = inverse(sk_c5)
    | multiply(sk_c1,sk_c10) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).

fof(f21,axiom,
    ( sk_c8 = inverse(sk_c5)
    | sk_c8 = multiply(sk_c2,sk_c9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).

fof(f42,axiom,
    ( sk_c8 = inverse(sk_c5)
    | sk_c9 = multiply(sk_c3,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_39) ).

fof(f9,axiom,
    ( sk_c7 = multiply(sk_c6,sk_c8)
    | multiply(sk_c1,sk_c10) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).

fof(f23,axiom,
    ( sk_c7 = multiply(sk_c6,sk_c8)
    | sk_c8 = multiply(sk_c2,sk_c9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).

fof(f20,axiom,
    ( sk_c8 = multiply(sk_c2,sk_c9)
    | sk_c9 = multiply(sk_c5,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).

fof(f6,axiom,
    ( sk_c9 = multiply(sk_c5,sk_c8)
    | multiply(sk_c1,sk_c10) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).

fof(f8,axiom,
    ( sk_c9 = multiply(sk_c8,sk_c7)
    | multiply(sk_c1,sk_c10) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).

fof(f22,axiom,
    ( sk_c8 = multiply(sk_c2,sk_c9)
    | sk_c9 = multiply(sk_c8,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).

fof(f18,axiom,
    ( sk_c8 = multiply(sk_c2,sk_c9)
    | sk_c9 = multiply(sk_c4,sk_c10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).

fof(f4,axiom,
    ( sk_c9 = multiply(sk_c4,sk_c10)
    | multiply(sk_c1,sk_c10) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).

fof(f5,axiom,
    ( sk_c10 = inverse(sk_c4)
    | multiply(sk_c1,sk_c10) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).

fof(f19,axiom,
    ( sk_c10 = inverse(sk_c4)
    | sk_c8 = multiply(sk_c2,sk_c9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).

fof(f40,axiom,
    ( sk_c10 = inverse(sk_c4)
    | sk_c9 = multiply(sk_c3,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).

fof(f29,axiom,
    ( sk_c9 = inverse(sk_c2)
    | sk_c9 = multiply(sk_c8,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).

fof(f1547,plain,
    ( identity = multiply(sk_c8,sk_c7)
    | identity = inverse(sk_c2)
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1546,f342]) ).

fof(f1546,plain,
    ( identity = inverse(sk_c2)
    | sk_c9 = multiply(sk_c8,sk_c7)
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f29,f342]) ).

fof(f1531,plain,
    ( identity = multiply(sk_c8,sk_c7)
    | sk_c8 = multiply(sk_c2,identity)
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1484,f342]) ).

fof(f1484,plain,
    ( sk_c8 = multiply(sk_c2,identity)
    | sk_c9 = multiply(sk_c8,sk_c7)
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f22,f342]) ).

fof(f1483,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
    inference(forward_demodulation,[],[f1475,f1]) ).

fof(f1475,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),multiply(identity,X1)),
    inference(superposition,[],[f3,f514]) ).

fof(f514,plain,
    ! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[],[f76,f2]) ).

fof(f16,axiom,
    ( sk_c10 = inverse(sk_c1)
    | sk_c7 = multiply(sk_c6,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).

fof(f17,axiom,
    ( sk_c10 = inverse(sk_c1)
    | sk_c8 = inverse(sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).

fof(f39,axiom,
    ( sk_c9 = multiply(sk_c4,sk_c10)
    | sk_c9 = multiply(sk_c3,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).

fof(f41,axiom,
    ( sk_c9 = multiply(sk_c5,sk_c8)
    | sk_c9 = multiply(sk_c3,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_38) ).

fof(f43,axiom,
    ( sk_c9 = multiply(sk_c3,sk_c8)
    | sk_c9 = multiply(sk_c8,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_40) ).

fof(f44,axiom,
    ( sk_c7 = multiply(sk_c6,sk_c8)
    | sk_c9 = multiply(sk_c3,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_41) ).

fof(f15,axiom,
    ( sk_c10 = inverse(sk_c1)
    | sk_c9 = multiply(sk_c8,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).

fof(f13,axiom,
    ( sk_c10 = inverse(sk_c1)
    | sk_c9 = multiply(sk_c5,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).

fof(f11,axiom,
    ( sk_c10 = inverse(sk_c1)
    | sk_c9 = multiply(sk_c4,sk_c10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).

fof(f30,axiom,
    ( sk_c9 = inverse(sk_c2)
    | sk_c7 = multiply(sk_c6,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).

fof(f27,axiom,
    ( sk_c9 = inverse(sk_c2)
    | sk_c9 = multiply(sk_c5,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).

fof(f25,axiom,
    ( sk_c9 = inverse(sk_c2)
    | sk_c9 = multiply(sk_c4,sk_c10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).

fof(f31,axiom,
    ( sk_c8 = inverse(sk_c6)
    | sk_c9 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).

fof(f45,axiom,
    ( sk_c8 = inverse(sk_c6)
    | sk_c9 = multiply(sk_c3,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_42) ).

fof(f24,axiom,
    ( sk_c8 = inverse(sk_c6)
    | sk_c8 = multiply(sk_c2,sk_c9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).

fof(f10,axiom,
    ( sk_c8 = inverse(sk_c6)
    | multiply(sk_c1,sk_c10) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).

fof(f898,plain,
    ( identity = multiply(sk_c1,sk_c10)
    | sk_c8 = inverse(sk_c6)
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f10,f342]) ).

fof(f896,plain,
    ( sk_c8 = multiply(sk_c2,identity)
    | sk_c8 = inverse(sk_c6)
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f24,f342]) ).

fof(f894,plain,
    ( identity = multiply(sk_c3,sk_c8)
    | sk_c8 = inverse(sk_c6)
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f45,f342]) ).

fof(f892,plain,
    ( identity = multiply(sk_c1,sk_c10)
    | identity = multiply(sk_c4,sk_c10)
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f891,f342]) ).

fof(f891,plain,
    ( identity = multiply(sk_c4,sk_c10)
    | multiply(sk_c1,sk_c10) = sk_c9
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f4,f342]) ).

fof(f889,plain,
    ( identity = multiply(sk_c1,sk_c10)
    | identity = multiply(sk_c5,sk_c8)
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f888,f342]) ).

fof(f888,plain,
    ( identity = multiply(sk_c5,sk_c8)
    | multiply(sk_c1,sk_c10) = sk_c9
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f6,f342]) ).

fof(f886,plain,
    ( identity = multiply(sk_c1,sk_c10)
    | identity = multiply(sk_c8,sk_c7)
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f885,f342]) ).

fof(f885,plain,
    ( identity = multiply(sk_c8,sk_c7)
    | multiply(sk_c1,sk_c10) = sk_c9
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f8,f342]) ).

fof(f883,plain,
    ( identity = multiply(sk_c1,sk_c10)
    | sk_c7 = multiply(sk_c6,sk_c8)
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f9,f342]) ).

fof(f881,plain,
    ( identity = multiply(sk_c4,sk_c10)
    | sk_c8 = multiply(sk_c2,identity)
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f880,f342]) ).

fof(f880,plain,
    ( sk_c8 = multiply(sk_c2,identity)
    | sk_c9 = multiply(sk_c4,sk_c10)
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f18,f342]) ).

fof(f878,plain,
    ( identity = multiply(sk_c5,sk_c8)
    | sk_c8 = multiply(sk_c2,identity)
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f877,f342]) ).

fof(f877,plain,
    ( sk_c8 = multiply(sk_c2,identity)
    | sk_c9 = multiply(sk_c5,sk_c8)
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f20,f342]) ).

fof(f875,plain,
    ( identity = multiply(sk_c8,sk_c7)
    | sk_c8 = multiply(sk_c2,identity)
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f874,f342]) ).

fof(f874,plain,
    ( sk_c8 = multiply(sk_c2,identity)
    | sk_c9 = multiply(sk_c8,sk_c7)
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f22,f342]) ).

fof(f872,plain,
    ( sk_c8 = multiply(sk_c2,identity)
    | sk_c7 = multiply(sk_c6,sk_c8)
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f23,f342]) ).

fof(f870,plain,
    ( identity = multiply(sk_c3,sk_c8)
    | identity = multiply(sk_c4,sk_c10)
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f869,f342]) ).

fof(f869,plain,
    ( identity = multiply(sk_c4,sk_c10)
    | sk_c9 = multiply(sk_c3,sk_c8)
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f39,f342]) ).

fof(f867,plain,
    ( identity = multiply(sk_c3,sk_c8)
    | identity = multiply(sk_c5,sk_c8)
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f866,f342]) ).

fof(f866,plain,
    ( identity = multiply(sk_c5,sk_c8)
    | sk_c9 = multiply(sk_c3,sk_c8)
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f41,f342]) ).

fof(f864,plain,
    ( identity = multiply(sk_c8,sk_c7)
    | identity = multiply(sk_c3,sk_c8)
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f863,f342]) ).

fof(f863,plain,
    ( identity = multiply(sk_c3,sk_c8)
    | sk_c9 = multiply(sk_c8,sk_c7)
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f43,f342]) ).

fof(f861,plain,
    ( identity = multiply(sk_c3,sk_c8)
    | sk_c7 = multiply(sk_c6,sk_c8)
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f44,f342]) ).

fof(f859,plain,
    ( identity = inverse(sk_c2)
    | sk_c8 = inverse(sk_c6)
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f31,f342]) ).

fof(f785,plain,
    ( identity = multiply(sk_c5,sk_c8)
    | identity = inverse(sk_c2)
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f734,f342]) ).

fof(f734,plain,
    ( identity = inverse(sk_c2)
    | sk_c9 = multiply(sk_c5,sk_c8)
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f27,f342]) ).

fof(f788,plain,
    ( identity = multiply(sk_c8,sk_c7)
    | identity = inverse(sk_c2)
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f731,f342]) ).

fof(f731,plain,
    ( identity = inverse(sk_c2)
    | sk_c9 = multiply(sk_c8,sk_c7)
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f29,f342]) ).

fof(f728,plain,
    ( identity = inverse(sk_c2)
    | sk_c7 = multiply(sk_c6,sk_c8)
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f30,f342]) ).

fof(f826,plain,
    ( identity = multiply(sk_c4,sk_c10)
    | sk_c10 = inverse(sk_c1)
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f11,f342]) ).

fof(f829,plain,
    ( identity = multiply(sk_c5,sk_c8)
    | sk_c10 = inverse(sk_c1)
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f13,f342]) ).

fof(f832,plain,
    ( identity = multiply(sk_c8,sk_c7)
    | sk_c10 = inverse(sk_c1)
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f15,f342]) ).

fof(f738,plain,
    ( identity = multiply(sk_c4,sk_c10)
    | identity = inverse(sk_c2)
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f737,f342]) ).

fof(f737,plain,
    ( identity = inverse(sk_c2)
    | sk_c9 = multiply(sk_c4,sk_c10)
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f25,f342]) ).

fof(f529,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
    inference(superposition,[],[f76,f76]) ).

fof(f517,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
    inference(superposition,[],[f76,f3]) ).

fof(f76,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f67,f1]) ).

fof(f67,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[],[f3,f2]) ).

fof(f364,plain,
    ( ! [X0,X1] :
        ( sk_c8 != multiply(X0,multiply(X1,sk_c9))
        | sk_c9 != inverse(multiply(X0,X1)) )
    | ~ spl0_3 ),
    inference(superposition,[],[f96,f3]) ).

fof(f363,plain,
    ( identity != sk_c8
    | sk_c9 != inverse(inverse(sk_c9))
    | ~ spl0_3 ),
    inference(superposition,[],[f96,f2]) ).

fof(f362,plain,
    ( sk_c9 != sk_c8
    | sk_c9 != inverse(identity)
    | ~ spl0_3 ),
    inference(superposition,[],[f96,f1]) ).

fof(f96,plain,
    ( ! [X4] :
        ( sk_c8 != multiply(X4,sk_c9)
        | sk_c9 != inverse(X4) )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f95]) ).

fof(f95,plain,
    ( spl0_3
  <=> ! [X4] :
        ( sk_c9 != inverse(X4)
        | sk_c8 != multiply(X4,sk_c9) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f38,axiom,
    ( sk_c8 = inverse(sk_c6)
    | sk_c9 = inverse(sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).

fof(f14,axiom,
    ( sk_c10 = inverse(sk_c1)
    | sk_c8 = inverse(sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).

fof(f37,axiom,
    ( sk_c9 = inverse(sk_c3)
    | sk_c7 = multiply(sk_c6,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).

fof(f36,axiom,
    ( sk_c9 = inverse(sk_c3)
    | sk_c9 = multiply(sk_c8,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).

fof(f34,axiom,
    ( sk_c9 = inverse(sk_c3)
    | sk_c9 = multiply(sk_c5,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).

fof(f32,axiom,
    ( sk_c9 = inverse(sk_c3)
    | sk_c9 = multiply(sk_c4,sk_c10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).

fof(f35,axiom,
    ( sk_c8 = inverse(sk_c5)
    | sk_c9 = inverse(sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).

fof(f28,axiom,
    ( sk_c8 = inverse(sk_c5)
    | sk_c9 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).

fof(f47,plain,
    ! [X3,X6,X9,X7,X4,X5] :
      ( sk_c10 != inverse(X3)
      | sk_c10 != inverse(X6)
      | sk_c8 != inverse(X9)
      | sk_c8 != inverse(X7)
      | sk_c9 != inverse(X5)
      | sk_c9 != inverse(X4)
      | sk_c8 != multiply(X4,sk_c9)
      | sk_c9 != multiply(X3,sk_c10)
      | sk_c9 != multiply(X6,sk_c10)
      | sk_c9 != multiply(X5,sk_c8)
      | sk_c9 != multiply(X7,sk_c8)
      | sk_c9 != multiply(sk_c8,multiply(X9,sk_c8)) ),
    inference(equality_resolution,[],[f46]) ).

fof(f46,axiom,
    ! [X3,X8,X6,X9,X7,X4,X5] :
      ( sk_c10 != inverse(X3)
      | sk_c10 != inverse(X6)
      | sk_c8 != inverse(X9)
      | sk_c8 != inverse(X7)
      | sk_c9 != inverse(X5)
      | sk_c9 != inverse(X4)
      | sk_c8 != multiply(X4,sk_c9)
      | sk_c9 != multiply(X3,sk_c10)
      | sk_c9 != multiply(X6,sk_c10)
      | sk_c9 != multiply(X5,sk_c8)
      | sk_c9 != multiply(X7,sk_c8)
      | sk_c9 != multiply(sk_c8,X8)
      | multiply(X9,sk_c8) != X8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_43) ).

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

fof(f12,axiom,
    ( sk_c10 = inverse(sk_c4)
    | sk_c10 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).

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

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

fof(f33,axiom,
    ( sk_c10 = inverse(sk_c4)
    | sk_c9 = inverse(sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).

fof(f26,axiom,
    ( sk_c10 = inverse(sk_c4)
    | sk_c9 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).

fof(f2644,plain,
    ( ~ spl0_3
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2643]) ).

fof(f2643,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f47,f28,f35,f32,f34,f36,f37,f14,f38,f96,f362,f363,f364,f76,f517,f529,f738,f832,f829,f826,f728,f788,f785,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f514,f1483,f1531,f1547,f29,f40,f19,f5,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f342,f1474,f1881,f1891,f2011,f2003,f1999,f1995,f2091,f2093,f2099,f2101,f2103,f2109,f2111,f2294,f2291,f2288,f2285,f2283,f2281,f2278,f2275,f513,f1883,f1880,f2367,f2557,f2624,f2546,f2317,f2631,f2306,f2305,f2638,f2642]) ).

fof(f2640,plain,
    ( ~ spl0_3
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2639]) ).

fof(f2639,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f47,f28,f35,f32,f34,f36,f37,f14,f38,f96,f362,f363,f364,f76,f517,f529,f738,f832,f829,f826,f728,f788,f785,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f514,f1483,f1531,f1547,f29,f40,f19,f5,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f342,f1474,f1881,f1891,f2011,f2003,f1999,f1995,f2091,f2093,f2099,f2101,f2103,f2109,f2111,f2294,f2291,f2288,f2285,f2283,f2281,f2278,f2275,f513,f1883,f1880,f2367,f2557,f2624,f2546,f2317,f2631,f2306,f2305,f2638]) ).

fof(f2637,plain,
    ( ~ spl0_3
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2636]) ).

fof(f2636,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f47,f28,f35,f32,f34,f36,f37,f14,f38,f96,f362,f363,f364,f76,f517,f529,f738,f832,f829,f826,f728,f788,f785,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f514,f1483,f1531,f1547,f29,f40,f19,f5,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f342,f1474,f1881,f1891,f2011,f2003,f1999,f1995,f2091,f2093,f2099,f2101,f2103,f2109,f2111,f2294,f2291,f2288,f2285,f2283,f2281,f2278,f2275,f513,f1883,f1880,f2367,f2557,f2624,f2546,f2317,f2631,f2306,f2305]) ).

fof(f2635,plain,
    ( ~ spl0_3
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2634]) ).

fof(f2634,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f47,f28,f35,f32,f34,f36,f37,f14,f38,f96,f362,f363,f364,f76,f517,f529,f738,f832,f829,f826,f728,f788,f785,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f514,f1483,f1531,f1547,f29,f40,f19,f5,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f342,f1474,f1881,f1891,f2011,f2003,f1999,f1995,f2091,f2093,f2099,f2101,f2103,f2109,f2111,f2294,f2291,f2288,f2285,f2283,f2281,f2278,f2275,f2305,f513,f1883,f1880,f2367,f2557,f2624,f2546,f2317,f2631,f2306]) ).

fof(f2633,plain,
    ( ~ spl0_3
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2632]) ).

fof(f2632,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f47,f28,f35,f32,f34,f36,f37,f14,f38,f96,f362,f363,f364,f76,f517,f529,f738,f832,f829,f826,f728,f788,f785,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f514,f1483,f1531,f1547,f29,f40,f19,f5,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f342,f1474,f1881,f1891,f2011,f2003,f1999,f1995,f2091,f2093,f2099,f2101,f2103,f2109,f2111,f2294,f2291,f2288,f2285,f2283,f2281,f2278,f2275,f2305,f513,f1883,f1880,f2367,f2557,f2624,f2546,f2317,f2631]) ).

fof(f2630,plain,
    ( ~ spl0_3
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2629]) ).

fof(f2629,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f47,f28,f35,f32,f34,f36,f37,f14,f38,f96,f362,f363,f364,f76,f517,f529,f738,f832,f829,f826,f728,f788,f785,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f514,f1483,f1531,f1547,f29,f40,f19,f5,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f342,f1474,f1881,f1891,f2011,f2003,f1999,f1995,f2091,f2093,f2099,f2101,f2103,f2109,f2111,f2294,f2291,f2288,f2285,f2283,f2281,f2278,f2275,f2305,f513,f1883,f1880,f2367,f2557,f2624,f2546,f2317]) ).

fof(f2628,plain,
    ( ~ spl0_3
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2627]) ).

fof(f2627,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f47,f28,f35,f32,f34,f36,f37,f14,f38,f96,f362,f363,f364,f76,f517,f529,f738,f832,f829,f826,f728,f788,f785,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f514,f1483,f1531,f1547,f29,f40,f19,f5,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f342,f1474,f1881,f1891,f2011,f2003,f1999,f1995,f2091,f2093,f2099,f2101,f2103,f2109,f2111,f2294,f2291,f2288,f2285,f2283,f2281,f2278,f2275,f2317,f2305,f513,f1883,f1880,f2367,f2557,f2624,f2546]) ).

fof(f2626,plain,
    ( ~ spl0_3
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2625]) ).

fof(f2625,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f47,f28,f35,f32,f34,f36,f37,f14,f38,f96,f362,f363,f364,f76,f517,f529,f738,f832,f829,f826,f728,f788,f785,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f514,f1483,f1531,f1547,f29,f40,f19,f5,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f342,f1474,f1881,f1891,f2011,f2003,f1999,f1995,f2091,f2093,f2099,f2101,f2103,f2109,f2111,f2294,f2291,f2288,f2285,f2283,f2281,f2278,f2275,f2317,f2305,f513,f1883,f1880,f2367,f2557,f2624]) ).

fof(f2622,plain,
    ( spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_15
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2621]) ).

fof(f2621,plain,
    ( $false
    | spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_15
    | spl0_16 ),
    inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f47,f28,f35,f293,f294,f295,f32,f34,f36,f37,f296,f14,f302,f304,f38,f308,f76,f517,f529,f738,f832,f829,f826,f728,f788,f785,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f10,f24,f45,f31,f25,f27,f30,f1059,f1058,f1057,f11,f13,f15,f44,f43,f41,f39,f17,f1157,f16,f325,f1182,f540,f1207,f1205,f527,f1271,f1272,f1274,f1275,f1268,f1283,f1284,f1269,f1279,f1270,f1258,f1320,f1260,f1327,f1326,f1332,f1330,f1334,f1337,f1318,f1356,f1358,f1325,f1367,f1368,f1362,f1382,f514,f1483,f1530,f1531,f1532,f1547,f1548,f1551,f1553,f1560,f1554,f1563,f1570,f1571,f184,f1575,f1624,f1302,f1594,f1529,f1576,f29,f1573,f40,f19,f5,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f342,f1474,f1881,f1891,f1574,f1552,f2011,f2003,f1999,f1995,f2091,f2093,f2099,f2100,f2101,f2103,f2104,f2109,f2111,f2120,f2121,f2123,f2124,f2125,f2126,f2146,f2143,f2144,f1877,f1197,f1181,f1463,f1195,f2294,f2291,f2288,f2285,f2323,f2283,f2281,f2278,f2275,f2325,f1217,f2329,f2330,f189,f2331,f2332,f2324,f1381,f2348,f2334,f2341,f2351,f2345,f2352,f2397,f2393,f2342,f2333,f513,f1883,f1880,f2062,f1562,f1561,f741,f2570,f2366]) ).

fof(f2366,plain,
    ( identity != sk_c8
    | spl0_16 ),
    inference(avatar_component_clause,[],[f2365]) ).

fof(f2570,plain,
    ( identity != inverse(sk_c2)
    | spl0_8
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f184,f342]) ).

fof(f741,plain,
    ( identity != inverse(sk_c2)
    | spl0_8
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f184,f342]) ).

fof(f1561,plain,
    ( identity = sk_c8
    | spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(superposition,[],[f1554,f1279]) ).

fof(f1562,plain,
    ( identity = sk_c8
    | spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(superposition,[],[f1279,f1554]) ).

fof(f2062,plain,
    ( identity != inverse(sk_c2)
    | spl0_8
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f184,f342]) ).

fof(f2333,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
    | ~ spl0_9 ),
    inference(superposition,[],[f76,f189]) ).

fof(f2342,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c8,X0)) = X0
    | ~ spl0_9
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f2340,f1]) ).

fof(f2340,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c8,X0))
    | ~ spl0_9
    | ~ spl0_15 ),
    inference(superposition,[],[f3,f2324]) ).

fof(f2393,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1181,f1217]) ).

fof(f2397,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1197,f1217]) ).

fof(f2352,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2350,f1]) ).

fof(f2350,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c5,X0))
    | ~ spl0_9 ),
    inference(superposition,[],[f3,f2334]) ).

fof(f2345,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c8,X0)) = X0
    | ~ spl0_9 ),
    inference(superposition,[],[f76,f1381]) ).

fof(f2351,plain,
    ( sk_c5 = multiply(sk_c5,identity)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2349,f1381]) ).

fof(f2349,plain,
    ( sk_c5 = multiply(inverse(sk_c8),identity)
    | ~ spl0_9 ),
    inference(superposition,[],[f76,f2334]) ).

fof(f2341,plain,
    ( sk_c8 = multiply(sk_c8,identity)
    | ~ spl0_9
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f2339,f189]) ).

fof(f2339,plain,
    ( sk_c8 = multiply(inverse(sk_c5),identity)
    | ~ spl0_9
    | ~ spl0_15 ),
    inference(superposition,[],[f76,f2324]) ).

fof(f2334,plain,
    ( identity = multiply(sk_c8,sk_c5)
    | ~ spl0_9 ),
    inference(superposition,[],[f2,f189]) ).

fof(f2348,plain,
    ( sk_c8 = multiply(sk_c8,identity)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2344,f189]) ).

fof(f2344,plain,
    ( sk_c8 = multiply(inverse(sk_c5),identity)
    | ~ spl0_9 ),
    inference(superposition,[],[f514,f1381]) ).

fof(f1381,plain,
    ( sk_c5 = inverse(sk_c8)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1378,f1269]) ).

fof(f1378,plain,
    ( inverse(sk_c8) = multiply(sk_c5,identity)
    | ~ spl0_9 ),
    inference(superposition,[],[f1270,f1362]) ).

fof(f2324,plain,
    ( identity = multiply(sk_c5,sk_c8)
    | ~ spl0_9
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f2278,f26,f33,f1,f2,f12,f3,f47,f28,f35,f293,f294,f295,f32,f34,f36,f37,f296,f14,f302,f304,f38,f308,f76,f517,f529,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f540,f1207,f1205,f527,f1271,f1272,f1274,f1275,f1268,f1283,f1284,f1269,f1279,f1270,f1258,f1320,f1260,f1327,f1326,f1332,f1330,f1334,f1337,f1318,f1356,f1358,f1325,f1367,f1368,f1362,f1382,f514,f1483,f1624,f1594,f1576,f29,f40,f19,f5,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f1474,f1881,f1891,f513,f1880,f1883,f189,f2123,f2124,f2125,f2126,f1381,f2146,f2143,f2144]) ).

fof(f2332,plain,
    ( sk_c5 = multiply(inverse(sk_c8),identity)
    | ~ spl0_9 ),
    inference(superposition,[],[f514,f189]) ).

fof(f2331,plain,
    ( identity = multiply(inverse(inverse(sk_c8)),sk_c5)
    | ~ spl0_9 ),
    inference(superposition,[],[f1474,f189]) ).

fof(f189,plain,
    ( sk_c8 = inverse(sk_c5)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f187]) ).

fof(f187,plain,
    ( spl0_9
  <=> sk_c8 = inverse(sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f2330,plain,
    ( sk_c8 = inverse(sk_c5)
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(superposition,[],[f325,f1217]) ).

fof(f2329,plain,
    ( identity = multiply(sk_c8,sk_c5)
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(superposition,[],[f1182,f1217]) ).

fof(f1217,plain,
    ( sk_c5 = sk_c6
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1195,f540]) ).

fof(f2325,plain,
    ( sk_c8 = inverse(sk_c5)
    | ~ spl0_9
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f2275,f26,f33,f1,f2,f12,f3,f47,f28,f35,f293,f294,f295,f32,f34,f36,f37,f296,f14,f302,f304,f38,f308,f76,f517,f529,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f540,f1207,f1205,f527,f1271,f1272,f1274,f1275,f1268,f1283,f1284,f1269,f1279,f1270,f1258,f1320,f1260,f1327,f1326,f1332,f1330,f1334,f1337,f1318,f1356,f1358,f1325,f1367,f1368,f1362,f1382,f514,f1483,f1624,f1594,f1576,f29,f40,f19,f5,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f1474,f1881,f1891,f513,f1880,f1883,f189,f2123,f2124,f2125,f2126,f1381,f2146,f2143,f2144]) ).

fof(f2323,plain,
    ( sk_c8 = inverse(sk_c5)
    | ~ spl0_9
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f2285,f26,f33,f1,f2,f12,f3,f47,f28,f35,f293,f294,f295,f32,f34,f36,f37,f296,f14,f302,f304,f38,f308,f76,f517,f529,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f540,f1207,f1205,f527,f1271,f1272,f1274,f1275,f1268,f1283,f1284,f1269,f1279,f1270,f1258,f1320,f1260,f1327,f1326,f1332,f1330,f1334,f1337,f1318,f1356,f1358,f1325,f1367,f1368,f1362,f1382,f514,f1483,f1624,f1594,f1576,f29,f40,f19,f5,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f1474,f1881,f1891,f513,f1880,f1883,f189,f2123,f2124,f2125,f2126,f1381,f2146,f2143,f2144]) ).

fof(f1195,plain,
    ( sk_c6 = multiply(inverse(sk_c8),identity)
    | ~ spl0_13 ),
    inference(superposition,[],[f76,f1182]) ).

fof(f1463,plain,
    ( sk_c6 = multiply(inverse(sk_c8),identity)
    | ~ spl0_13 ),
    inference(superposition,[],[f514,f325]) ).

fof(f1181,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c6,X0)) = X0
    | ~ spl0_13 ),
    inference(superposition,[],[f76,f325]) ).

fof(f1197,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c6,X0)) = X0
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1196,f1]) ).

fof(f1196,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c6,X0))
    | ~ spl0_13 ),
    inference(superposition,[],[f3,f1182]) ).

fof(f1877,plain,
    ( identity = multiply(inverse(inverse(sk_c8)),sk_c6)
    | ~ spl0_13 ),
    inference(superposition,[],[f1474,f325]) ).

fof(f2144,plain,
    ( identity = multiply(sk_c5,sk_c8)
    | ~ spl0_9 ),
    inference(superposition,[],[f2,f1381]) ).

fof(f2143,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c8,X0)) = X0
    | ~ spl0_9 ),
    inference(superposition,[],[f76,f1381]) ).

fof(f2146,plain,
    ( sk_c8 = multiply(sk_c8,identity)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2142,f189]) ).

fof(f2142,plain,
    ( sk_c8 = multiply(inverse(sk_c5),identity)
    | ~ spl0_9 ),
    inference(superposition,[],[f514,f1381]) ).

fof(f2126,plain,
    ( identity = multiply(sk_c8,sk_c5)
    | ~ spl0_9 ),
    inference(superposition,[],[f2,f189]) ).

fof(f2125,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
    | ~ spl0_9 ),
    inference(superposition,[],[f76,f189]) ).

fof(f2124,plain,
    ( sk_c5 = multiply(inverse(sk_c8),identity)
    | ~ spl0_9 ),
    inference(superposition,[],[f514,f189]) ).

fof(f2123,plain,
    ( identity = multiply(inverse(inverse(sk_c8)),sk_c5)
    | ~ spl0_9 ),
    inference(superposition,[],[f1474,f189]) ).

fof(f2121,plain,
    ( sk_c8 = inverse(sk_c5)
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(superposition,[],[f325,f1217]) ).

fof(f2120,plain,
    ( identity = multiply(sk_c8,sk_c5)
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(superposition,[],[f1182,f1217]) ).

fof(f2104,plain,
    ( sk_c8 = inverse(sk_c5)
    | ~ spl0_9
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f2103,f26,f33,f1,f2,f12,f3,f47,f28,f35,f293,f294,f295,f32,f34,f36,f37,f296,f14,f302,f304,f38,f308,f76,f517,f529,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f540,f1207,f1205,f527,f1271,f1272,f1274,f1275,f1268,f1283,f1284,f1269,f1279,f1270,f1258,f1320,f1260,f1327,f1326,f1332,f1330,f1334,f1337,f1318,f1356,f1358,f1325,f1367,f1368,f1362,f1382,f514,f1483,f1624,f1594,f1576,f29,f40,f19,f5,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f1474,f1881,f1891,f189,f1381,f513,f1880,f1883]) ).

fof(f2100,plain,
    ( identity = multiply(sk_c5,sk_c8)
    | ~ spl0_9
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f2099,f26,f33,f1,f2,f12,f3,f47,f28,f35,f293,f294,f295,f32,f34,f36,f37,f296,f14,f302,f304,f38,f308,f76,f517,f529,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f540,f1207,f1205,f527,f1271,f1272,f1274,f1275,f1268,f1283,f1284,f1269,f1279,f1270,f1258,f1320,f1260,f1327,f1326,f1332,f1330,f1334,f1337,f1318,f1356,f1358,f1325,f1367,f1368,f1362,f1382,f514,f1483,f1624,f1594,f1576,f29,f40,f19,f5,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f1474,f1881,f1891,f189,f1381,f513,f1880,f1883]) ).

fof(f1552,plain,
    ( identity = sk_c7
    | spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f3,f47,f28,f35,f293,f7,f294,f21,f295,f32,f34,f36,f37,f42,f296,f14,f302,f189,f304,f38,f308,f76,f517,f529,f738,f741,f832,f829,f826,f728,f788,f785,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f10,f24,f45,f31,f25,f27,f29,f30,f1059,f1058,f1057,f11,f13,f15,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f17,f1157,f16,f342,f325,f1181,f1182,f1195,f1197,f540,f1207,f1217,f1205,f527,f1271,f1272,f1274,f1275,f1268,f1283,f1284,f1269,f1279,f1270,f1258,f1320,f1260,f1327,f1326,f1332,f1330,f1334,f1337,f1318,f1356,f1358,f1325,f1367,f1368,f1362,f1382,f1381,f514,f1474,f1483,f1530,f1531,f1532,f513,f1547,f1548,f1551]) ).

fof(f1574,plain,
    ( identity = sk_c7
    | spl0_8
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f3,f47,f28,f35,f293,f7,f294,f21,f295,f32,f34,f36,f37,f42,f296,f14,f302,f189,f304,f38,f308,f76,f517,f529,f10,f24,f45,f31,f25,f27,f29,f30,f1059,f1058,f1057,f11,f13,f15,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f17,f1157,f16,f325,f1181,f1182,f1195,f1197,f540,f1207,f1217,f1205,f527,f1271,f1272,f1274,f1275,f1268,f1283,f1284,f1269,f1279,f1270,f1258,f1320,f1260,f1327,f1326,f1332,f1330,f1334,f1337,f1318,f1356,f1358,f1325,f1367,f1368,f1362,f1382,f1381,f514,f1474,f1483,f513,f184,f1573]) ).

fof(f1573,plain,
    ( identity = sk_c7
    | sk_c9 = inverse(sk_c2)
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1572,f1268]) ).

fof(f1572,plain,
    ( multiply(sk_c5,sk_c8) = sk_c7
    | sk_c9 = inverse(sk_c2)
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f30,f1217]) ).

fof(f1576,plain,
    ( identity = sk_c9
    | sk_c9 = inverse(sk_c2)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f27,f1268]) ).

fof(f1529,plain,
    ( identity = sk_c7
    | sk_c8 = multiply(sk_c2,sk_c9)
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1497,f1268]) ).

fof(f1497,plain,
    ( multiply(sk_c5,sk_c8) = sk_c7
    | sk_c8 = multiply(sk_c2,sk_c9)
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f23,f1217]) ).

fof(f1594,plain,
    ( identity = sk_c9
    | sk_c8 = multiply(sk_c2,sk_c9)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f20,f1268]) ).

fof(f1302,plain,
    ( identity = sk_c7
    | multiply(sk_c1,sk_c10) = sk_c9
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1301,f1268]) ).

fof(f1301,plain,
    ( multiply(sk_c5,sk_c8) = sk_c7
    | multiply(sk_c1,sk_c10) = sk_c9
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f9,f1217]) ).

fof(f1624,plain,
    ( identity = sk_c9
    | multiply(sk_c1,sk_c10) = sk_c9
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f6,f1268]) ).

fof(f1575,plain,
    ( sk_c9 = multiply(sk_c8,sk_c7)
    | spl0_8 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f3,f47,f28,f35,f7,f21,f32,f34,f36,f37,f42,f14,f38,f76,f517,f529,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f17,f16,f514,f1474,f1483,f513,f184,f29]) ).

fof(f184,plain,
    ( sk_c9 != inverse(sk_c2)
    | spl0_8 ),
    inference(avatar_component_clause,[],[f183]) ).

fof(f183,plain,
    ( spl0_8
  <=> sk_c9 = inverse(sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f1571,plain,
    ( ! [X0] : multiply(sk_c8,X0) = X0
    | spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1565,f1]) ).

fof(f1565,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(identity,X0))
    | spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(superposition,[],[f3,f1554]) ).

fof(f1570,plain,
    ( identity = multiply(sk_c5,identity)
    | spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1564,f1381]) ).

fof(f1564,plain,
    ( identity = multiply(inverse(sk_c8),identity)
    | spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(superposition,[],[f76,f1554]) ).

fof(f1563,plain,
    ( identity = multiply(sk_c5,identity)
    | spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(superposition,[],[f1270,f1554]) ).

fof(f1554,plain,
    ( identity = multiply(sk_c8,identity)
    | spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1532,f1552]) ).

fof(f1560,plain,
    ( identity = multiply(sk_c8,identity)
    | spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1548,f1552]) ).

fof(f1553,plain,
    ( identity != inverse(sk_c2)
    | spl0_8
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f184,f342]) ).

fof(f1551,plain,
    ( identity = sk_c7
    | identity = inverse(sk_c2)
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1550,f1268]) ).

fof(f1550,plain,
    ( multiply(sk_c5,sk_c8) = sk_c7
    | identity = inverse(sk_c2)
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1549,f1217]) ).

fof(f1549,plain,
    ( identity = inverse(sk_c2)
    | sk_c7 = multiply(sk_c6,sk_c8)
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f30,f342]) ).

fof(f1548,plain,
    ( identity = multiply(sk_c8,sk_c7)
    | spl0_8
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f3,f47,f28,f35,f7,f21,f32,f34,f36,f37,f42,f14,f38,f76,f517,f529,f738,f741,f832,f829,f826,f728,f788,f785,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f10,f24,f45,f31,f25,f27,f29,f30,f11,f13,f15,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f17,f16,f342,f514,f1474,f1483,f1531,f1532,f513,f1547]) ).

fof(f1532,plain,
    ( identity = multiply(sk_c8,sk_c7)
    | spl0_8
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f3,f47,f28,f35,f7,f21,f32,f34,f36,f37,f42,f14,f38,f76,f517,f529,f513,f738,f741,f832,f829,f826,f728,f788,f785,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f10,f24,f45,f31,f25,f27,f29,f30,f11,f13,f15,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f17,f16,f342,f514,f1474,f1483,f1531]) ).

fof(f1530,plain,
    ( sk_c8 = multiply(sk_c2,identity)
    | identity = sk_c7
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1529,f342]) ).

fof(f1382,plain,
    ( sk_c5 = inverse(sk_c8)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1379,f540]) ).

fof(f1379,plain,
    ( inverse(sk_c8) = multiply(inverse(sk_c8),identity)
    | ~ spl0_9 ),
    inference(superposition,[],[f76,f1362]) ).

fof(f1362,plain,
    ( identity = multiply(sk_c8,inverse(sk_c8))
    | ~ spl0_9 ),
    inference(superposition,[],[f1325,f2]) ).

fof(f1368,plain,
    ( ! [X0] : multiply(inverse(inverse(inverse(sk_c8))),multiply(sk_c8,X0)) = X0
    | ~ spl0_9 ),
    inference(superposition,[],[f76,f1325]) ).

fof(f1367,plain,
    ( identity = multiply(sk_c8,inverse(sk_c8))
    | ~ spl0_9 ),
    inference(superposition,[],[f2,f1325]) ).

fof(f1325,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(inverse(sk_c8)),X0)
    | ~ spl0_9 ),
    inference(superposition,[],[f1260,f1270]) ).

fof(f1358,plain,
    ( ! [X0] : multiply(inverse(inverse(inverse(inverse(sk_c8)))),multiply(sk_c5,X0)) = X0
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1357,f1]) ).

fof(f1357,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(inverse(inverse(sk_c8)))),multiply(sk_c5,X0))
    | ~ spl0_9 ),
    inference(superposition,[],[f3,f1318]) ).

fof(f1356,plain,
    ( sk_c5 = multiply(inverse(inverse(inverse(inverse(inverse(sk_c8))))),identity)
    | ~ spl0_9 ),
    inference(superposition,[],[f76,f1318]) ).

fof(f1318,plain,
    ( identity = multiply(inverse(inverse(inverse(inverse(sk_c8)))),sk_c5)
    | ~ spl0_9 ),
    inference(superposition,[],[f76,f1258]) ).

fof(f1337,plain,
    ( ! [X0] : multiply(inverse(inverse(inverse(sk_c8))),multiply(sk_c8,X0)) = X0
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1335,f1]) ).

fof(f1335,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(inverse(sk_c8))),multiply(sk_c8,X0))
    | ~ spl0_9 ),
    inference(superposition,[],[f3,f1330]) ).

fof(f1334,plain,
    ( sk_c8 = multiply(inverse(inverse(inverse(inverse(sk_c8)))),identity)
    | ~ spl0_9 ),
    inference(superposition,[],[f76,f1330]) ).

fof(f1330,plain,
    ( identity = multiply(inverse(inverse(inverse(sk_c8))),sk_c8)
    | ~ spl0_9 ),
    inference(superposition,[],[f76,f1326]) ).

fof(f1332,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(inverse(sk_c8)),X0)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1331,f1]) ).

fof(f1331,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(inverse(sk_c8)),multiply(identity,X0))
    | ~ spl0_9 ),
    inference(superposition,[],[f3,f1326]) ).

fof(f1326,plain,
    ( sk_c8 = multiply(inverse(inverse(sk_c8)),identity)
    | ~ spl0_9 ),
    inference(superposition,[],[f1260,f1268]) ).

fof(f1327,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(inverse(inverse(inverse(sk_c8))),X0)
    | ~ spl0_9 ),
    inference(superposition,[],[f76,f1260]) ).

fof(f1260,plain,
    ( ! [X0] : multiply(inverse(inverse(sk_c8)),multiply(sk_c5,X0)) = X0
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1259,f1]) ).

fof(f1259,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(sk_c8)),multiply(sk_c5,X0))
    | ~ spl0_9 ),
    inference(superposition,[],[f3,f1205]) ).

fof(f1320,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(inverse(inverse(inverse(sk_c8))),X0)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1319,f1]) ).

fof(f1319,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(inverse(inverse(inverse(sk_c8))),multiply(identity,X0))
    | ~ spl0_9 ),
    inference(superposition,[],[f3,f1258]) ).

fof(f1258,plain,
    ( sk_c5 = multiply(inverse(inverse(inverse(sk_c8))),identity)
    | ~ spl0_9 ),
    inference(superposition,[],[f76,f1205]) ).

fof(f1270,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c8,X0)) = X0
    | ~ spl0_9 ),
    inference(superposition,[],[f527,f76]) ).

fof(f1279,plain,
    ( sk_c8 = multiply(sk_c8,identity)
    | ~ spl0_9 ),
    inference(superposition,[],[f308,f1268]) ).

fof(f1269,plain,
    ( sk_c5 = multiply(sk_c5,identity)
    | ~ spl0_9 ),
    inference(superposition,[],[f527,f540]) ).

fof(f1284,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c8,X0)) = X0
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1281,f1]) ).

fof(f1281,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c8,X0))
    | ~ spl0_9 ),
    inference(superposition,[],[f3,f1268]) ).

fof(f1283,plain,
    ( sk_c8 = multiply(sk_c8,identity)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1280,f189]) ).

fof(f1280,plain,
    ( sk_c8 = multiply(inverse(sk_c5),identity)
    | ~ spl0_9 ),
    inference(superposition,[],[f76,f1268]) ).

fof(f1268,plain,
    ( identity = multiply(sk_c5,sk_c8)
    | ~ spl0_9 ),
    inference(superposition,[],[f527,f2]) ).

fof(f1275,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c8,X0)) = X0
    | ~ spl0_9 ),
    inference(superposition,[],[f76,f527]) ).

fof(f1274,plain,
    ( sk_c5 = multiply(sk_c5,identity)
    | ~ spl0_9 ),
    inference(superposition,[],[f540,f527]) ).

fof(f1272,plain,
    ( ! [X0] : multiply(inverse(inverse(sk_c8)),multiply(sk_c5,X0)) = X0
    | ~ spl0_9 ),
    inference(superposition,[],[f76,f527]) ).

fof(f1271,plain,
    ( identity = multiply(sk_c5,sk_c8)
    | ~ spl0_9 ),
    inference(superposition,[],[f2,f527]) ).

fof(f527,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(inverse(sk_c8),X0)
    | ~ spl0_9 ),
    inference(superposition,[],[f76,f308]) ).

fof(f1205,plain,
    ( identity = multiply(inverse(inverse(sk_c8)),sk_c5)
    | ~ spl0_9 ),
    inference(superposition,[],[f76,f540]) ).

fof(f1207,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(inverse(sk_c8),X0)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1206,f1]) ).

fof(f1206,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(inverse(sk_c8),multiply(identity,X0))
    | ~ spl0_9 ),
    inference(superposition,[],[f3,f540]) ).

fof(f540,plain,
    ( sk_c5 = multiply(inverse(sk_c8),identity)
    | ~ spl0_9 ),
    inference(superposition,[],[f76,f304]) ).

fof(f1182,plain,
    ( identity = multiply(sk_c8,sk_c6)
    | ~ spl0_13 ),
    inference(superposition,[],[f2,f325]) ).

fof(f325,plain,
    ( sk_c8 = inverse(sk_c6)
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f323]) ).

fof(f323,plain,
    ( spl0_13
  <=> sk_c8 = inverse(sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f1157,plain,
    ( sk_c8 = inverse(sk_c6)
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f3,f47,f28,f35,f7,f21,f32,f34,f36,f37,f42,f14,f38,f76,f514,f517,f529,f513,f16,f10,f24,f45,f31,f25,f27,f29,f30,f1059,f1058,f1057,f325,f11,f13,f15,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f17]) ).

fof(f1057,plain,
    ( sk_c8 = inverse(sk_c6)
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f3,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f31,f28,f35,f7,f21,f24,f32,f34,f36,f37,f42,f45,f15,f13,f11,f14,f38,f76,f514,f517,f529,f513,f16,f17,f325,f10]) ).

fof(f1058,plain,
    ( sk_c8 = inverse(sk_c6)
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f3,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f31,f28,f35,f7,f21,f32,f34,f36,f37,f42,f45,f15,f13,f11,f14,f38,f76,f514,f517,f529,f513,f16,f17,f325,f10,f1057,f24]) ).

fof(f1059,plain,
    ( sk_c8 = inverse(sk_c6)
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f3,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f31,f28,f35,f7,f21,f32,f34,f36,f37,f42,f15,f13,f11,f14,f38,f76,f514,f517,f529,f513,f16,f17,f325,f10,f1057,f24,f1058,f45]) ).

fof(f308,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f307,f1]) ).

fof(f307,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c5,X0))
    | ~ spl0_9 ),
    inference(superposition,[],[f3,f304]) ).

fof(f304,plain,
    ( identity = multiply(sk_c8,sk_c5)
    | ~ spl0_9 ),
    inference(superposition,[],[f2,f189]) ).

fof(f302,plain,
    ( sk_c8 = inverse(sk_c5)
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f3,f76,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f31,f28,f189,f35,f293,f38,f7,f294,f10,f21,f295,f24,f32,f34,f36,f37,f42,f296,f45,f16,f15,f13,f11,f17,f14]) ).

fof(f296,plain,
    ( sk_c8 = inverse(sk_c5)
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f3,f76,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f31,f28,f14,f17,f11,f13,f15,f16,f45,f189,f35,f293,f38,f7,f294,f10,f21,f295,f24,f32,f34,f36,f37,f42]) ).

fof(f295,plain,
    ( sk_c8 = inverse(sk_c5)
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f3,f76,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f31,f28,f14,f17,f11,f13,f15,f16,f45,f42,f37,f36,f34,f32,f24,f189,f35,f293,f38,f7,f294,f10,f21]) ).

fof(f294,plain,
    ( sk_c8 = inverse(sk_c5)
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f3,f76,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f31,f28,f14,f17,f11,f13,f15,f16,f45,f42,f37,f36,f34,f32,f24,f21,f10,f189,f35,f293,f38,f7]) ).

fof(f293,plain,
    ( sk_c8 = inverse(sk_c5)
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f3,f76,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f31,f28,f14,f17,f11,f13,f15,f16,f45,f42,f37,f36,f34,f32,f24,f21,f10,f7,f38,f189,f35]) ).

fof(f2620,plain,
    ( spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_15
    | spl0_16
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f2619]) ).

fof(f2619,plain,
    ( $false
    | spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_15
    | spl0_16
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f2561,f26,f33,f1,f2,f12,f3,f47,f28,f35,f293,f294,f295,f32,f34,f36,f37,f296,f14,f302,f304,f38,f308,f76,f517,f529,f738,f832,f829,f826,f728,f788,f785,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f10,f24,f45,f31,f25,f27,f30,f1059,f1058,f1057,f11,f13,f15,f44,f43,f41,f39,f17,f1157,f16,f325,f1182,f540,f1207,f1205,f527,f1271,f1272,f1274,f1275,f1268,f1283,f1284,f1269,f1279,f1270,f1258,f1320,f1260,f1327,f1326,f1332,f1330,f1334,f1337,f1318,f1356,f1358,f1325,f1367,f1368,f1362,f1382,f514,f1483,f1530,f1531,f1532,f1547,f1548,f1551,f1553,f1560,f1554,f1563,f1570,f1571,f184,f1575,f1624,f1302,f1594,f1529,f1576,f29,f1573,f40,f19,f5,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f342,f1474,f1881,f1891,f1574,f1552,f2011,f2003,f1999,f1995,f2091,f2093,f2099,f2100,f2101,f2103,f2104,f2109,f2111,f2120,f2121,f2123,f2124,f2125,f2126,f2146,f2143,f2144,f1877,f1197,f1181,f1463,f1195,f2294,f2291,f2288,f2285,f2323,f2283,f2281,f2278,f2275,f2325,f1217,f2329,f2330,f189,f2331,f2332,f2324,f1381,f2348,f2334,f2341,f2351,f2345,f2352,f2397,f2393,f2366,f2342,f2333,f513,f1883,f1880,f2062,f1562,f1561,f741,f2570]) ).

fof(f2561,plain,
    ( identity = sk_c8
    | sk_c8 = multiply(sk_c2,identity)
    | ~ spl0_9
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f2560,f2341]) ).

fof(f2560,plain,
    ( identity = multiply(sk_c8,identity)
    | sk_c8 = multiply(sk_c2,identity)
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f2093,f2371]) ).

fof(f2371,plain,
    ( identity = sk_c7
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f2369]) ).

fof(f2369,plain,
    ( spl0_17
  <=> identity = sk_c7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f2618,plain,
    ( ~ spl0_6
    | spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_15
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2617]) ).

fof(f2617,plain,
    ( $false
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_15
    | spl0_16 ),
    inference(global_subsumption,[],[f2328,f26,f33,f1,f2,f12,f3,f47,f28,f35,f293,f294,f295,f32,f34,f36,f37,f296,f14,f302,f304,f38,f308,f76,f517,f529,f738,f832,f829,f826,f728,f788,f785,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f10,f24,f45,f31,f25,f27,f30,f1059,f1058,f1057,f11,f13,f15,f44,f43,f41,f39,f17,f1157,f16,f325,f1182,f540,f1207,f1205,f527,f1271,f1272,f1274,f1275,f1268,f1283,f1284,f1269,f1279,f1270,f1258,f1320,f1260,f1327,f1326,f1332,f1330,f1334,f1337,f1318,f1356,f1358,f1325,f1367,f1368,f1362,f1382,f514,f1483,f1530,f1531,f1532,f1547,f1548,f1551,f1553,f1560,f1554,f1563,f1570,f1571,f184,f1575,f1624,f1302,f1594,f1529,f1576,f29,f1573,f40,f19,f5,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f342,f1474,f1881,f1891,f1574,f1552,f2011,f2003,f1999,f1995,f2091,f2093,f2099,f2100,f2101,f2103,f2104,f2109,f2111,f2120,f2121,f2123,f2124,f2125,f2126,f2146,f2143,f2144,f1877,f1197,f1181,f1463,f1195,f2294,f2291,f2288,f2285,f2323,f2283,f2281,f2278,f2275,f2325,f1217,f2329,f2330,f189,f2331,f2332,f2324,f1381,f2348,f2334,f2341,f2351,f2345,f2352,f2397,f2393,f2366,f2342,f2333,f513,f1883,f1880,f2062,f1562,f1561,f741,f2570]) ).

fof(f2328,plain,
    ( ! [X9] :
        ( identity != multiply(sk_c8,multiply(X9,sk_c8))
        | sk_c8 != inverse(X9) )
    | ~ spl0_6
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f105,f342]) ).

fof(f105,plain,
    ( ! [X9] :
        ( sk_c8 != inverse(X9)
        | sk_c9 != multiply(sk_c8,multiply(X9,sk_c8)) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f104]) ).

fof(f104,plain,
    ( spl0_6
  <=> ! [X9] :
        ( sk_c8 != inverse(X9)
        | sk_c9 != multiply(sk_c8,multiply(X9,sk_c8)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f2616,plain,
    ( ~ spl0_6
    | spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_15
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2615]) ).

fof(f2615,plain,
    ( $false
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_15
    | spl0_16 ),
    inference(global_subsumption,[],[f2179,f26,f33,f1,f2,f12,f3,f47,f28,f35,f293,f294,f295,f32,f34,f36,f37,f296,f14,f302,f304,f38,f308,f76,f517,f529,f738,f832,f829,f826,f728,f788,f785,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f10,f24,f45,f31,f25,f27,f30,f1059,f1058,f1057,f11,f13,f15,f44,f43,f41,f39,f17,f1157,f16,f325,f1182,f540,f1207,f1205,f527,f1271,f1272,f1274,f1275,f1268,f1283,f1284,f1269,f1279,f1270,f1258,f1320,f1260,f1327,f1326,f1332,f1330,f1334,f1337,f1318,f1356,f1358,f1325,f1367,f1368,f1362,f1382,f514,f1483,f1530,f1531,f1532,f1547,f1548,f1551,f1553,f1560,f1554,f1563,f1570,f1571,f184,f1575,f1624,f1302,f1594,f1529,f1576,f29,f1573,f40,f19,f5,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f342,f1474,f1881,f1891,f1574,f1552,f2011,f2003,f1999,f1995,f2091,f2093,f2099,f2100,f2101,f2103,f2104,f2109,f2111,f2120,f2121,f2123,f2124,f2125,f2126,f2146,f2143,f2144,f1877,f1197,f1181,f1463,f1195,f2294,f2291,f2288,f2285,f2323,f2283,f2281,f2278,f2275,f2325,f1217,f2329,f2330,f189,f2331,f2332,f2324,f1381,f2348,f2334,f2341,f2351,f2345,f2352,f2397,f2393,f2366,f2342,f2333,f513,f1883,f1880,f2062,f1562,f1561,f741,f2570]) ).

fof(f2179,plain,
    ( ! [X9] :
        ( identity != multiply(sk_c8,multiply(X9,sk_c8))
        | sk_c8 != inverse(X9) )
    | ~ spl0_6
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f105,f342]) ).

fof(f2614,plain,
    ( ~ spl0_6
    | spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_15
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2613]) ).

fof(f2613,plain,
    ( $false
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_15
    | spl0_16 ),
    inference(global_subsumption,[],[f2067,f26,f33,f1,f2,f12,f3,f47,f28,f35,f293,f294,f295,f32,f34,f36,f37,f296,f14,f302,f304,f38,f308,f76,f517,f529,f738,f832,f829,f826,f728,f788,f785,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f10,f24,f45,f31,f25,f27,f30,f1059,f1058,f1057,f11,f13,f15,f44,f43,f41,f39,f17,f1157,f16,f325,f1182,f540,f1207,f1205,f527,f1271,f1272,f1274,f1275,f1268,f1283,f1284,f1269,f1279,f1270,f1258,f1320,f1260,f1327,f1326,f1332,f1330,f1334,f1337,f1318,f1356,f1358,f1325,f1367,f1368,f1362,f1382,f514,f1483,f1530,f1531,f1532,f1547,f1548,f1551,f1553,f1560,f1554,f1563,f1570,f1571,f184,f1575,f1624,f1302,f1594,f1529,f1576,f29,f1573,f40,f19,f5,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f342,f1474,f1881,f1891,f1574,f1552,f2011,f2003,f1999,f1995,f2091,f2093,f2099,f2100,f2101,f2103,f2104,f2109,f2111,f2120,f2121,f2123,f2124,f2125,f2126,f2146,f2143,f2144,f1877,f1197,f1181,f1463,f1195,f2294,f2291,f2288,f2285,f2323,f2283,f2281,f2278,f2275,f2325,f1217,f2329,f2330,f189,f2331,f2332,f2324,f1381,f2348,f2334,f2341,f2351,f2345,f2352,f2397,f2393,f2366,f2342,f2333,f513,f1883,f1880,f2062,f1562,f1561,f741,f2570]) ).

fof(f2067,plain,
    ( ! [X9] :
        ( identity != multiply(sk_c8,multiply(X9,sk_c8))
        | sk_c8 != inverse(X9) )
    | ~ spl0_6
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f105,f342]) ).

fof(f2612,plain,
    ( ~ spl0_6
    | spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_15
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2611]) ).

fof(f2611,plain,
    ( $false
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_15
    | spl0_16 ),
    inference(global_subsumption,[],[f837,f26,f33,f1,f2,f12,f3,f47,f28,f35,f293,f294,f295,f32,f34,f36,f37,f296,f14,f302,f304,f38,f308,f76,f517,f529,f738,f832,f829,f826,f728,f788,f785,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f10,f24,f45,f31,f25,f27,f30,f1059,f1058,f1057,f11,f13,f15,f44,f43,f41,f39,f17,f1157,f16,f325,f1182,f540,f1207,f1205,f527,f1271,f1272,f1274,f1275,f1268,f1283,f1284,f1269,f1279,f1270,f1258,f1320,f1260,f1327,f1326,f1332,f1330,f1334,f1337,f1318,f1356,f1358,f1325,f1367,f1368,f1362,f1382,f514,f1483,f1530,f1531,f1532,f1547,f1548,f1551,f1553,f1560,f1554,f1563,f1570,f1571,f184,f1575,f1624,f1302,f1594,f1529,f1576,f29,f1573,f40,f19,f5,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f342,f1474,f1881,f1891,f1574,f1552,f2011,f2003,f1999,f1995,f2091,f2093,f2099,f2100,f2101,f2103,f2104,f2109,f2111,f2120,f2121,f2123,f2124,f2125,f2126,f2146,f2143,f2144,f1877,f1197,f1181,f1463,f1195,f2294,f2291,f2288,f2285,f2323,f2283,f2281,f2278,f2275,f2325,f1217,f2329,f2330,f189,f2331,f2332,f2324,f1381,f2348,f2334,f2341,f2351,f2345,f2352,f2397,f2393,f2366,f2342,f2333,f513,f1883,f1880,f2062,f1562,f1561,f741,f2570]) ).

fof(f837,plain,
    ( ! [X9] :
        ( identity != multiply(sk_c8,multiply(X9,sk_c8))
        | sk_c8 != inverse(X9) )
    | ~ spl0_6
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f105,f342]) ).

fof(f2610,plain,
    ( ~ spl0_6
    | spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_15
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2609]) ).

fof(f2609,plain,
    ( $false
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_15
    | spl0_16 ),
    inference(global_subsumption,[],[f2606,f26,f33,f1,f2,f12,f3,f47,f28,f35,f293,f294,f295,f32,f34,f36,f37,f296,f14,f302,f304,f38,f308,f76,f517,f529,f738,f832,f829,f826,f728,f788,f785,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f10,f24,f45,f31,f25,f27,f30,f1059,f1058,f1057,f11,f13,f15,f44,f43,f41,f39,f17,f1157,f16,f325,f1182,f540,f1207,f1205,f527,f1271,f1272,f1274,f1275,f1268,f1283,f1284,f1269,f1279,f1270,f1258,f1320,f1260,f1327,f1326,f1332,f1330,f1334,f1337,f1318,f1356,f1358,f1325,f1367,f1368,f1362,f1382,f514,f1483,f1530,f1531,f1532,f1547,f1548,f1551,f1553,f1560,f1554,f1563,f1570,f1571,f184,f1575,f1624,f1302,f1594,f1529,f1576,f29,f1573,f40,f19,f5,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f342,f1474,f1881,f1891,f1574,f1552,f2011,f2003,f1999,f1995,f2091,f2093,f2099,f2100,f2101,f2103,f2104,f2109,f2111,f2120,f2121,f2123,f2124,f2125,f2126,f2146,f2143,f2144,f1877,f1197,f1181,f1463,f1195,f2294,f2291,f2288,f2285,f2323,f2283,f2281,f2278,f2275,f2325,f1217,f2329,f2330,f189,f2331,f2332,f2324,f1381,f2348,f2334,f2341,f2351,f2345,f2352,f2397,f2393,f2366,f2342,f2333,f513,f1883,f1880,f2062,f1562,f1561,f741,f2570]) ).

fof(f2606,plain,
    ( ! [X9] :
        ( identity != multiply(sk_c8,multiply(X9,sk_c8))
        | sk_c8 != inverse(X9) )
    | ~ spl0_6
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f105,f342]) ).

fof(f2608,plain,
    ( ~ spl0_6
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2607]) ).

fof(f2607,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f47,f28,f35,f32,f34,f36,f37,f14,f38,f76,f517,f529,f738,f832,f829,f826,f728,f788,f785,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f514,f1483,f1531,f1547,f29,f40,f19,f5,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f105,f342,f1474,f1881,f1891,f2011,f2003,f1999,f1995,f2091,f2093,f2099,f2101,f2103,f2109,f2111,f2294,f2291,f2288,f2285,f2283,f2281,f2278,f2275,f2445,f2367,f513,f1883,f1880,f2451,f2446,f2477,f2433,f2431,f2473,f2429,f2427,f2470,f2328,f2179,f2067,f837,f2606]) ).

fof(f2470,plain,
    ( identity != inverse(identity)
    | ~ spl0_6
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(subsumption_resolution,[],[f2441,f1]) ).

fof(f2441,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(identity)
    | ~ spl0_6
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(superposition,[],[f2427,f1]) ).

fof(f2427,plain,
    ( ! [X9] :
        ( identity != multiply(identity,multiply(X9,identity))
        | identity != inverse(X9) )
    | ~ spl0_6
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f2426,f2367]) ).

fof(f2426,plain,
    ( ! [X9] :
        ( identity != multiply(identity,multiply(X9,identity))
        | sk_c8 != inverse(X9) )
    | ~ spl0_6
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f837,f2367]) ).

fof(f2429,plain,
    ( ! [X9] :
        ( identity != inverse(X9)
        | identity != multiply(identity,multiply(X9,identity)) )
    | ~ spl0_6
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f2428,f2367]) ).

fof(f2428,plain,
    ( ! [X9] :
        ( identity != multiply(identity,multiply(X9,identity))
        | sk_c8 != inverse(X9) )
    | ~ spl0_6
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f2067,f2367]) ).

fof(f2473,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_6
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(subsumption_resolution,[],[f2442,f1]) ).

fof(f2442,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(inverse(identity))
    | ~ spl0_6
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(superposition,[],[f2427,f2]) ).

fof(f2431,plain,
    ( ! [X9] :
        ( identity != inverse(X9)
        | identity != multiply(identity,multiply(X9,identity)) )
    | ~ spl0_6
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f2430,f2367]) ).

fof(f2430,plain,
    ( ! [X9] :
        ( identity != multiply(identity,multiply(X9,identity))
        | sk_c8 != inverse(X9) )
    | ~ spl0_6
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f2179,f2367]) ).

fof(f2433,plain,
    ( ! [X9] :
        ( identity != inverse(X9)
        | identity != multiply(identity,multiply(X9,identity)) )
    | ~ spl0_6
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f2432,f2367]) ).

fof(f2432,plain,
    ( ! [X9] :
        ( identity != multiply(identity,multiply(X9,identity))
        | sk_c8 != inverse(X9) )
    | ~ spl0_6
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f2328,f2367]) ).

fof(f2477,plain,
    ( identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_6
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(subsumption_resolution,[],[f2443,f1]) ).

fof(f2443,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_6
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(superposition,[],[f2427,f1474]) ).

fof(f2446,plain,
    ( ! [X0] :
        ( identity != multiply(X0,identity)
        | identity != inverse(X0) )
    | ~ spl0_6
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(superposition,[],[f2427,f1]) ).

fof(f2451,plain,
    ( ! [X0] :
        ( identity != X0
        | identity != inverse(inverse(inverse(X0))) )
    | ~ spl0_6
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f2435,f1]) ).

fof(f2435,plain,
    ( ! [X0] :
        ( identity != multiply(identity,X0)
        | identity != inverse(inverse(inverse(X0))) )
    | ~ spl0_6
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(superposition,[],[f2427,f514]) ).

fof(f2445,plain,
    ( ! [X0,X1] :
        ( identity != multiply(identity,multiply(X0,multiply(X1,identity)))
        | identity != inverse(multiply(X0,X1)) )
    | ~ spl0_6
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(superposition,[],[f2427,f3]) ).

fof(f2605,plain,
    ( ~ spl0_6
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2604]) ).

fof(f2604,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f47,f28,f35,f32,f34,f36,f37,f14,f38,f76,f517,f529,f738,f832,f829,f826,f728,f788,f785,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f514,f1483,f1531,f1547,f29,f40,f19,f5,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f105,f342,f1474,f1881,f1891,f2011,f2003,f1999,f1995,f2091,f2093,f2099,f2101,f2103,f2109,f2111,f2294,f2291,f2288,f2285,f2283,f2281,f2278,f2275,f2445,f2367,f513,f1883,f1880,f2451,f2446,f2477,f2433,f2431,f2473,f2429,f2427,f2470,f2328,f2179,f2067,f837]) ).

fof(f2603,plain,
    ( ~ spl0_6
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2602]) ).

fof(f2602,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f47,f28,f35,f32,f34,f36,f37,f14,f38,f76,f517,f529,f738,f832,f829,f826,f728,f788,f785,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f514,f1483,f1531,f1547,f29,f40,f19,f5,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f105,f342,f1474,f1881,f1891,f2011,f2003,f1999,f1995,f2091,f2093,f2099,f2101,f2103,f2109,f2111,f2294,f2291,f2288,f2285,f2283,f2281,f2278,f2275,f2445,f837,f2367,f513,f1883,f1880,f2451,f2446,f2477,f2433,f2431,f2473,f2429,f2427,f2470,f2328,f2179,f2067]) ).

fof(f2601,plain,
    ( ~ spl0_6
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2600]) ).

fof(f2600,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f47,f28,f35,f32,f34,f36,f37,f14,f38,f76,f517,f529,f738,f832,f829,f826,f728,f788,f785,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f514,f1483,f1531,f1547,f29,f40,f19,f5,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f105,f342,f1474,f1881,f1891,f2011,f2003,f1999,f1995,f2091,f2093,f2099,f2101,f2103,f2109,f2111,f2294,f2291,f2288,f2285,f2283,f2281,f2278,f2275,f2445,f2067,f837,f2367,f513,f1883,f1880,f2451,f2446,f2477,f2433,f2431,f2473,f2429,f2427,f2470,f2328,f2179]) ).

fof(f2599,plain,
    ( ~ spl0_6
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2598]) ).

fof(f2598,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f47,f28,f35,f32,f34,f36,f37,f14,f38,f76,f517,f529,f738,f832,f829,f826,f728,f788,f785,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f514,f1483,f1531,f1547,f29,f40,f19,f5,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f105,f342,f1474,f1881,f1891,f2011,f2003,f1999,f1995,f2091,f2093,f2099,f2101,f2103,f2109,f2111,f2294,f2291,f2288,f2285,f2283,f2281,f2278,f2275,f2445,f2179,f2067,f837,f2367,f513,f1883,f1880,f2451,f2446,f2477,f2433,f2431,f2473,f2429,f2427,f2470,f2328]) ).

fof(f2597,plain,
    ( ~ spl0_6
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2596]) ).

fof(f2596,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f47,f28,f35,f32,f34,f36,f37,f14,f38,f76,f517,f529,f738,f832,f829,f826,f728,f788,f785,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f514,f1483,f1531,f1547,f29,f40,f19,f5,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f105,f342,f1474,f1881,f1891,f2011,f2003,f1999,f1995,f2091,f2093,f2099,f2101,f2103,f2109,f2111,f2294,f2291,f2288,f2285,f2283,f2281,f2278,f2275,f2445,f2328,f2179,f2067,f837,f2367,f513,f1883,f1880,f2451,f2446,f2477,f2433,f2431,f2473,f2429,f2427,f2470]) ).

fof(f2595,plain,
    ( ~ spl0_6
    | ~ spl0_9
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2594]) ).

fof(f2594,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f47,f28,f35,f293,f294,f295,f32,f34,f36,f37,f296,f14,f302,f304,f38,f308,f76,f517,f529,f738,f832,f829,f826,f728,f788,f785,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f540,f1207,f1205,f527,f1271,f1272,f1274,f1275,f1268,f1283,f1284,f1269,f1279,f1270,f1258,f1320,f1260,f1327,f1326,f1332,f1330,f1334,f1337,f1318,f1356,f1358,f1325,f1367,f1368,f1362,f1382,f514,f1483,f1531,f1547,f1624,f1594,f1576,f29,f40,f19,f5,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f105,f342,f1474,f1881,f1891,f2011,f2003,f1999,f1995,f2091,f2093,f2099,f2100,f2101,f2103,f2104,f2109,f2111,f2123,f2124,f2125,f2126,f2146,f2143,f2144,f2294,f2291,f2288,f2285,f2323,f2283,f2281,f2278,f2275,f2325,f189,f2331,f2332,f2324,f1381,f2348,f2334,f2341,f2351,f2375,f2376,f2445,f2328,f2179,f2067,f837,f2345,f2352,f2342,f2333,f2367,f2374,f513,f1883,f1880,f2451,f2446,f2467,f2477,f2579,f2433,f2431,f2473,f2429,f2427]) ).

fof(f2579,plain,
    ( identity != sk_c8
    | identity != multiply(identity,sk_c5)
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f2439,f189]) ).

fof(f2439,plain,
    ( identity != multiply(identity,sk_c5)
    | identity != inverse(sk_c5)
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(superposition,[],[f2427,f2351]) ).

fof(f2467,plain,
    ( identity != inverse(identity)
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f2466,f2367]) ).

fof(f2466,plain,
    ( identity != inverse(sk_c8)
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(subsumption_resolution,[],[f2465,f1]) ).

fof(f2465,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(sk_c8)
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f2440,f2367]) ).

fof(f2440,plain,
    ( identity != multiply(identity,sk_c8)
    | identity != inverse(sk_c8)
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(superposition,[],[f2427,f2341]) ).

fof(f2374,plain,
    ( sk_c5 = inverse(identity)
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(superposition,[],[f1381,f2367]) ).

fof(f2376,plain,
    ( identity = multiply(identity,sk_c5)
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(superposition,[],[f2334,f2367]) ).

fof(f2375,plain,
    ( identity = multiply(sk_c5,identity)
    | ~ spl0_9
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(superposition,[],[f2324,f2367]) ).

fof(f2593,plain,
    ( ~ spl0_6
    | ~ spl0_9
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2592]) ).

fof(f2592,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f47,f28,f35,f293,f294,f295,f32,f34,f36,f37,f296,f14,f302,f304,f38,f308,f76,f517,f529,f738,f832,f829,f826,f728,f788,f785,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f540,f1207,f1205,f527,f1271,f1272,f1274,f1275,f1268,f1283,f1284,f1269,f1279,f1270,f1258,f1320,f1260,f1327,f1326,f1332,f1330,f1334,f1337,f1318,f1356,f1358,f1325,f1367,f1368,f1362,f1382,f514,f1483,f1531,f1547,f1624,f1594,f1576,f29,f40,f19,f5,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f105,f342,f1474,f1881,f1891,f2011,f2003,f1999,f1995,f2091,f2093,f2099,f2100,f2101,f2103,f2104,f2109,f2111,f2123,f2124,f2125,f2126,f2146,f2143,f2144,f2294,f2291,f2288,f2285,f2323,f2283,f2281,f2278,f2275,f2325,f189,f2331,f2332,f2324,f1381,f2348,f2334,f2341,f2351,f2375,f2376,f2427,f2445,f2328,f2179,f2067,f837,f2345,f2352,f2342,f2333,f2367,f2374,f513,f1883,f1880,f2451,f2446,f2467,f2477,f2579,f2433,f2431,f2473,f2429]) ).

fof(f2591,plain,
    ( ~ spl0_6
    | ~ spl0_9
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2590]) ).

fof(f2590,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f47,f28,f35,f293,f294,f295,f32,f34,f36,f37,f296,f14,f302,f304,f38,f308,f76,f517,f529,f738,f832,f829,f826,f728,f788,f785,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f540,f1207,f1205,f527,f1271,f1272,f1274,f1275,f1268,f1283,f1284,f1269,f1279,f1270,f1258,f1320,f1260,f1327,f1326,f1332,f1330,f1334,f1337,f1318,f1356,f1358,f1325,f1367,f1368,f1362,f1382,f514,f1483,f1531,f1547,f1624,f1594,f1576,f29,f40,f19,f5,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f105,f342,f1474,f1881,f1891,f2011,f2003,f1999,f1995,f2091,f2093,f2099,f2100,f2101,f2103,f2104,f2109,f2111,f2123,f2124,f2125,f2126,f2146,f2143,f2144,f2294,f2291,f2288,f2285,f2323,f2283,f2281,f2278,f2275,f2325,f189,f2331,f2332,f2324,f1381,f2348,f2334,f2341,f2351,f2375,f2376,f2429,f2427,f2445,f2328,f2179,f2067,f837,f2345,f2352,f2342,f2333,f2367,f2374,f513,f1883,f1880,f2451,f2446,f2467,f2477,f2579,f2433,f2431,f2473]) ).

fof(f2589,plain,
    ( ~ spl0_6
    | ~ spl0_9
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2588]) ).

fof(f2588,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f47,f28,f35,f293,f294,f295,f32,f34,f36,f37,f296,f14,f302,f304,f38,f308,f76,f517,f529,f738,f832,f829,f826,f728,f788,f785,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f540,f1207,f1205,f527,f1271,f1272,f1274,f1275,f1268,f1283,f1284,f1269,f1279,f1270,f1258,f1320,f1260,f1327,f1326,f1332,f1330,f1334,f1337,f1318,f1356,f1358,f1325,f1367,f1368,f1362,f1382,f514,f1483,f1531,f1547,f1624,f1594,f1576,f29,f40,f19,f5,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f105,f342,f1474,f1881,f1891,f2011,f2003,f1999,f1995,f2091,f2093,f2099,f2100,f2101,f2103,f2104,f2109,f2111,f2123,f2124,f2125,f2126,f2146,f2143,f2144,f2294,f2291,f2288,f2285,f2323,f2283,f2281,f2278,f2275,f2325,f189,f2331,f2332,f2324,f1381,f2348,f2334,f2341,f2351,f2375,f2376,f2429,f2427,f2445,f2328,f2179,f2067,f837,f2345,f2352,f2342,f2333,f2367,f2374,f513,f1883,f1880,f2451,f2446,f2467,f2477,f2579,f2433,f2431]) ).

fof(f2587,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2586]) ).

fof(f2586,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f2455,f26,f33,f1,f2,f12,f3,f47,f28,f35,f293,f294,f295,f32,f34,f36,f37,f296,f14,f302,f304,f38,f308,f76,f517,f529,f738,f832,f829,f826,f728,f788,f785,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f540,f1207,f1205,f527,f1271,f1272,f1274,f1275,f1268,f1283,f1284,f1269,f1279,f1270,f1258,f1320,f1260,f1327,f1326,f1332,f1330,f1334,f1337,f1318,f1356,f1358,f1325,f1367,f1368,f1362,f1382,f514,f1483,f1531,f1547,f1624,f1594,f1576,f29,f40,f19,f5,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f105,f342,f1474,f1881,f1891,f2011,f2003,f1999,f1995,f2091,f2093,f2099,f2100,f2101,f2103,f2104,f2109,f2111,f2123,f2124,f2125,f2126,f2146,f2143,f2144,f2294,f2291,f2288,f2285,f2323,f2283,f2281,f2278,f2275,f2325,f189,f2331,f2332,f2324,f1381,f2348,f2334,f2341,f2351,f2375,f2376,f2429,f2431,f2427,f2445,f2328,f2179,f2067,f837,f2345,f2352,f2342,f2333,f2367,f2374,f513,f1883,f1880,f2451,f2446,f2467,f2477,f2579,f2433]) ).

fof(f2455,plain,
    ( identity != inverse(sk_c1)
    | identity != sk_c1
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f2454,f1467]) ).

fof(f1467,plain,
    ( sk_c1 = inverse(sk_c10)
    | ~ spl0_1 ),
    inference(superposition,[],[f514,f1261]) ).

fof(f1261,plain,
    ( sk_c1 = multiply(inverse(inverse(inverse(sk_c10))),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f76,f1214]) ).

fof(f1214,plain,
    ( identity = multiply(inverse(inverse(sk_c10)),sk_c1)
    | ~ spl0_1 ),
    inference(superposition,[],[f76,f1192]) ).

fof(f1192,plain,
    ( sk_c1 = multiply(inverse(sk_c10),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f76,f1180]) ).

fof(f1180,plain,
    ( identity = multiply(sk_c10,sk_c1)
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f51]) ).

fof(f51,plain,
    ( sk_c10 = inverse(sk_c1)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f49]) ).

fof(f49,plain,
    ( spl0_1
  <=> sk_c10 = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f2454,plain,
    ( identity != inverse(inverse(sk_c10))
    | identity != sk_c1
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f2453,f51]) ).

fof(f2453,plain,
    ( identity != inverse(inverse(inverse(sk_c1)))
    | identity != sk_c1
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f2452,f1467]) ).

fof(f2452,plain,
    ( identity != sk_c1
    | identity != inverse(inverse(inverse(inverse(sk_c10))))
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f2436,f1]) ).

fof(f2436,plain,
    ( identity != multiply(identity,sk_c1)
    | identity != inverse(inverse(inverse(inverse(sk_c10))))
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(superposition,[],[f2427,f1261]) ).

fof(f2585,plain,
    ( ~ spl0_6
    | ~ spl0_9
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2584]) ).

fof(f2584,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f47,f28,f35,f293,f294,f295,f32,f34,f36,f37,f296,f14,f302,f304,f38,f308,f76,f517,f529,f738,f832,f829,f826,f728,f788,f785,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f540,f1207,f1205,f527,f1271,f1272,f1274,f1275,f1268,f1283,f1284,f1269,f1279,f1270,f1258,f1320,f1260,f1327,f1326,f1332,f1330,f1334,f1337,f1318,f1356,f1358,f1325,f1367,f1368,f1362,f1382,f514,f1483,f1531,f1547,f1624,f1594,f1576,f29,f40,f19,f5,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f105,f342,f1474,f1881,f1891,f2011,f2003,f1999,f1995,f2091,f2093,f2099,f2100,f2101,f2103,f2104,f2109,f2111,f2123,f2124,f2125,f2126,f2146,f2143,f2144,f2294,f2291,f2288,f2285,f2323,f2283,f2281,f2278,f2275,f2325,f189,f2331,f2332,f2324,f1381,f2348,f2334,f2341,f2351,f2375,f2376,f2429,f2431,f2427,f2445,f2328,f2179,f2067,f837,f2345,f2352,f2342,f2333,f2367,f2374,f513,f1883,f1880,f2451,f2446,f2467,f2477,f2579,f2433]) ).

fof(f2583,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2582]) ).

fof(f2582,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f2458,f26,f33,f1,f2,f12,f3,f47,f28,f35,f293,f294,f295,f32,f34,f36,f37,f296,f14,f302,f304,f38,f308,f76,f517,f529,f738,f832,f829,f826,f728,f788,f785,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f540,f1207,f1205,f527,f1271,f1272,f1274,f1275,f1268,f1283,f1284,f1269,f1279,f1270,f1258,f1320,f1260,f1327,f1326,f1332,f1330,f1334,f1337,f1318,f1356,f1358,f1325,f1367,f1368,f1362,f1382,f514,f1483,f1531,f1547,f1624,f1594,f1576,f29,f40,f19,f5,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f105,f342,f1474,f1881,f1891,f2011,f2003,f1999,f1995,f2091,f2093,f2099,f2100,f2101,f2103,f2104,f2109,f2111,f2123,f2124,f2125,f2126,f2146,f2143,f2144,f2294,f2291,f2288,f2285,f2323,f2283,f2281,f2278,f2275,f2325,f189,f2331,f2332,f2324,f1381,f2348,f2334,f2341,f2351,f2375,f2376,f2429,f2431,f2433,f2427,f2445,f2328,f2179,f2067,f837,f2345,f2352,f2342,f2333,f2367,f2374,f513,f1883,f1880,f2451,f2446,f2467,f2477,f2579]) ).

fof(f2458,plain,
    ( identity != sk_c1
    | identity != multiply(identity,sk_c10)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f2438,f1467]) ).

fof(f2438,plain,
    ( identity != multiply(identity,sk_c10)
    | identity != inverse(sk_c10)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(superposition,[],[f2427,f1800]) ).

fof(f1800,plain,
    ( sk_c10 = multiply(sk_c10,identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f1179,f1304]) ).

fof(f1304,plain,
    ( identity = multiply(sk_c1,sk_c10)
    | ~ spl0_1 ),
    inference(superposition,[],[f1216,f2]) ).

fof(f1216,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c10),X0)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1215,f1]) ).

fof(f1215,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c10),multiply(identity,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f1192]) ).

fof(f1179,plain,
    ( ! [X0] : multiply(sk_c10,multiply(sk_c1,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f76,f51]) ).

fof(f2581,plain,
    ( ~ spl0_6
    | ~ spl0_9
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2580]) ).

fof(f2580,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f47,f28,f35,f293,f294,f295,f32,f34,f36,f37,f296,f14,f302,f304,f38,f308,f76,f517,f529,f738,f832,f829,f826,f728,f788,f785,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f540,f1207,f1205,f527,f1271,f1272,f1274,f1275,f1268,f1283,f1284,f1269,f1279,f1270,f1258,f1320,f1260,f1327,f1326,f1332,f1330,f1334,f1337,f1318,f1356,f1358,f1325,f1367,f1368,f1362,f1382,f514,f1483,f1531,f1547,f1624,f1594,f1576,f29,f40,f19,f5,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f105,f342,f1474,f1881,f1891,f2011,f2003,f1999,f1995,f2091,f2093,f2099,f2100,f2101,f2103,f2104,f2109,f2111,f2123,f2124,f2125,f2126,f2146,f2143,f2144,f2294,f2291,f2288,f2285,f2323,f2283,f2281,f2278,f2275,f2325,f189,f2331,f2332,f2324,f1381,f2348,f2334,f2341,f2351,f2375,f2376,f2429,f2431,f2433,f2427,f2445,f2328,f2179,f2067,f837,f2345,f2352,f2342,f2333,f2367,f2374,f513,f1883,f1880,f2451,f2446,f2467,f2477,f2579]) ).

fof(f2578,plain,
    ( ~ spl0_6
    | ~ spl0_9
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2577]) ).

fof(f2577,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f47,f28,f35,f293,f294,f295,f32,f34,f36,f37,f296,f14,f302,f304,f38,f308,f76,f517,f529,f738,f832,f829,f826,f728,f788,f785,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f540,f1207,f1205,f527,f1271,f1272,f1274,f1275,f1268,f1283,f1284,f1269,f1279,f1270,f1258,f1320,f1260,f1327,f1326,f1332,f1330,f1334,f1337,f1318,f1356,f1358,f1325,f1367,f1368,f1362,f1382,f514,f1483,f1531,f1547,f1624,f1594,f1576,f29,f40,f19,f5,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f105,f342,f1474,f1881,f1891,f2011,f2003,f1999,f1995,f2091,f2093,f2099,f2100,f2101,f2103,f2104,f2109,f2111,f2123,f2124,f2125,f2126,f2146,f2143,f2144,f2294,f2291,f2288,f2285,f2323,f2283,f2281,f2278,f2275,f2325,f189,f2331,f2332,f2324,f1381,f2348,f2334,f2341,f2351,f2375,f2376,f2429,f2431,f2433,f2427,f2445,f2328,f2179,f2067,f837,f2345,f2352,f2342,f2333,f2367,f2374,f513,f1883,f1880,f2451,f2446,f2467,f2477]) ).

fof(f2576,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2575]) ).

fof(f2575,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f2485,f26,f33,f1,f2,f12,f3,f47,f28,f35,f293,f294,f295,f32,f34,f36,f37,f296,f14,f302,f304,f38,f308,f76,f517,f529,f738,f832,f829,f826,f728,f788,f785,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f540,f1207,f1205,f527,f1271,f1272,f1274,f1275,f1268,f1283,f1284,f1269,f1279,f1270,f1258,f1320,f1260,f1327,f1326,f1332,f1330,f1334,f1337,f1318,f1356,f1358,f1325,f1367,f1368,f1362,f1382,f514,f1483,f1531,f1547,f1624,f1594,f1576,f29,f40,f19,f5,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f105,f342,f1474,f1881,f1891,f2011,f2003,f1999,f1995,f2091,f2093,f2099,f2100,f2101,f2103,f2104,f2109,f2111,f2123,f2124,f2125,f2126,f2146,f2143,f2144,f2294,f2291,f2288,f2285,f2323,f2283,f2281,f2278,f2275,f2325,f189,f2331,f2332,f2324,f1381,f2348,f2334,f2341,f2351,f2375,f2376,f2429,f2431,f2433,f2427,f2445,f2328,f2179,f2067,f837,f2345,f2352,f2342,f2333,f2367,f2374,f513,f1883,f1880,f2451,f2446,f2467]) ).

fof(f2485,plain,
    ( identity != inverse(sk_c1)
    | identity != sk_c1
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f2484,f1467]) ).

fof(f2484,plain,
    ( identity != sk_c1
    | identity != inverse(inverse(sk_c10))
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f2483,f1]) ).

fof(f2483,plain,
    ( identity != multiply(identity,sk_c1)
    | identity != inverse(inverse(sk_c10))
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f2444,f1305]) ).

fof(f1305,plain,
    ( sk_c1 = multiply(sk_c1,identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f1216,f1192]) ).

fof(f2444,plain,
    ( identity != multiply(identity,multiply(sk_c1,identity))
    | identity != inverse(inverse(sk_c10))
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(superposition,[],[f2427,f1216]) ).

fof(f2574,plain,
    ( ~ spl0_6
    | ~ spl0_9
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2573]) ).

fof(f2573,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f47,f28,f35,f293,f294,f295,f32,f34,f36,f37,f296,f14,f302,f304,f38,f308,f76,f517,f529,f738,f832,f829,f826,f728,f788,f785,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f540,f1207,f1205,f527,f1271,f1272,f1274,f1275,f1268,f1283,f1284,f1269,f1279,f1270,f1258,f1320,f1260,f1327,f1326,f1332,f1330,f1334,f1337,f1318,f1356,f1358,f1325,f1367,f1368,f1362,f1382,f514,f1483,f1531,f1547,f1624,f1594,f1576,f29,f40,f19,f5,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f105,f342,f1474,f1881,f1891,f2011,f2003,f1999,f1995,f2091,f2093,f2099,f2100,f2101,f2103,f2104,f2109,f2111,f2123,f2124,f2125,f2126,f2146,f2143,f2144,f2294,f2291,f2288,f2285,f2323,f2283,f2281,f2278,f2275,f2325,f189,f2331,f2332,f2324,f1381,f2348,f2334,f2341,f2351,f2375,f2376,f2429,f2431,f2433,f2427,f2445,f2328,f2179,f2067,f837,f2345,f2352,f2342,f2333,f2367,f2374,f513,f1883,f1880,f2451,f2446,f2467]) ).

fof(f2559,plain,
    ( ~ spl0_3
    | ~ spl0_8
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2558]) ).

fof(f2558,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f47,f28,f191,f193,f35,f32,f34,f36,f37,f14,f38,f96,f362,f363,f364,f76,f517,f529,f738,f832,f829,f826,f728,f788,f857,f785,f858,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f910,f911,f964,f967,f968,f10,f24,f45,f31,f1072,f25,f27,f30,f1082,f1083,f1129,f1131,f759,f970,f11,f13,f15,f44,f43,f41,f39,f17,f16,f1164,f1178,f514,f1483,f1531,f1547,f29,f185,f1656,f1657,f1658,f1694,f1696,f40,f19,f5,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f342,f1756,f1774,f1474,f1881,f1891,f2011,f2075,f2003,f2076,f1999,f2077,f1995,f2078,f513,f1880,f1883,f2082,f2091,f2093,f2099,f2101,f2103,f2109,f2111,f963,f1183,f2294,f2291,f2288,f2285,f2283,f2281,f2278,f2275,f2160,f2155,f2219,f2269,f2367,f2313,f2317,f2535,f2308,f2541,f2305,f2548,f2553,f2557]) ).

fof(f2553,plain,
    ( identity != sk_c8
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f2552,f342]) ).

fof(f2552,plain,
    ( identity != sk_c9
    | identity != sk_c8
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f2551,f1183]) ).

fof(f2548,plain,
    ( identity != sk_c8
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f2547,f1183]) ).

fof(f2547,plain,
    ( identity != inverse(identity)
    | identity != sk_c8
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f2546,f1183]) ).

fof(f2541,plain,
    ( identity != sk_c8
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f2540,f1183]) ).

fof(f2540,plain,
    ( identity != inverse(identity)
    | identity != sk_c8
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f2306,f1183]) ).

fof(f2308,plain,
    ( identity != sk_c8
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f2307,f1183]) ).

fof(f2307,plain,
    ( identity != inverse(identity)
    | identity != sk_c8
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f2306,f1183]) ).

fof(f2535,plain,
    ( identity != sk_c8
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f2534,f342]) ).

fof(f2534,plain,
    ( identity != sk_c9
    | identity != sk_c8
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f2311,f1183]) ).

fof(f2313,plain,
    ( identity != sk_c8
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f2312,f342]) ).

fof(f2312,plain,
    ( identity != sk_c9
    | identity != sk_c8
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f2311,f1183]) ).

fof(f2269,plain,
    ( identity = sk_c8
    | identity = multiply(sk_c8,sk_c7)
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f2268,f1]) ).

fof(f2268,plain,
    ( sk_c8 = multiply(identity,identity)
    | identity = multiply(sk_c8,sk_c7)
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f2093,f963]) ).

fof(f2219,plain,
    ( identity = sk_c8
    | sk_c7 = multiply(sk_c6,sk_c8)
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f2218,f1]) ).

fof(f2218,plain,
    ( sk_c8 = multiply(identity,identity)
    | sk_c7 = multiply(sk_c6,sk_c8)
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f2101,f963]) ).

fof(f2155,plain,
    ( identity = sk_c8
    | sk_c8 = inverse(sk_c5)
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f2154,f1]) ).

fof(f2154,plain,
    ( sk_c8 = multiply(identity,identity)
    | sk_c8 = inverse(sk_c5)
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f2103,f963]) ).

fof(f2160,plain,
    ( identity = sk_c8
    | identity = multiply(sk_c5,sk_c8)
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f2159,f1]) ).

fof(f2159,plain,
    ( sk_c8 = multiply(identity,identity)
    | identity = multiply(sk_c5,sk_c8)
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f2099,f963]) ).

fof(f1183,plain,
    ( identity = inverse(identity)
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f759,f963]) ).

fof(f963,plain,
    ( identity = sk_c2
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(superposition,[],[f911,f1]) ).

fof(f2082,plain,
    ( identity = inverse(sk_c2)
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f185,f342]) ).

fof(f2078,plain,
    ( identity = inverse(sk_c2)
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f47,f28,f191,f193,f35,f32,f34,f36,f37,f14,f38,f76,f517,f529,f738,f832,f829,f826,f728,f788,f857,f785,f858,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f910,f911,f964,f967,f968,f10,f24,f45,f31,f1072,f25,f27,f30,f1082,f1083,f1129,f1131,f759,f970,f11,f13,f15,f44,f43,f41,f39,f17,f16,f1164,f1178,f514,f1483,f1531,f1547,f29,f185,f1656,f1657,f1658,f1694,f1696,f40,f19,f5,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f342,f1756,f963,f1774,f1183,f1474,f1881,f1891,f1883,f1880,f513,f2011,f2075,f2003,f2076,f1999,f2077,f1995]) ).

fof(f2077,plain,
    ( identity = inverse(sk_c2)
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f47,f28,f191,f193,f35,f32,f34,f36,f37,f14,f38,f76,f517,f529,f738,f832,f829,f826,f728,f788,f857,f785,f858,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f910,f911,f964,f967,f968,f10,f24,f45,f31,f1072,f25,f27,f30,f1082,f1083,f1129,f1131,f759,f970,f11,f13,f15,f44,f43,f41,f39,f17,f16,f1164,f1178,f514,f1483,f1531,f1547,f29,f185,f1656,f1657,f1658,f1694,f1696,f40,f19,f5,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f342,f1756,f963,f1774,f1183,f1474,f1881,f1891,f1883,f1880,f513,f1995,f2011,f2075,f2003,f2076,f1999]) ).

fof(f2076,plain,
    ( identity = inverse(sk_c2)
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f47,f28,f191,f193,f35,f32,f34,f36,f37,f14,f38,f76,f517,f529,f738,f832,f829,f826,f728,f788,f857,f785,f858,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f910,f911,f964,f967,f968,f10,f24,f45,f31,f1072,f25,f27,f30,f1082,f1083,f1129,f1131,f759,f970,f11,f13,f15,f44,f43,f41,f39,f17,f16,f1164,f1178,f514,f1483,f1531,f1547,f29,f185,f1656,f1657,f1658,f1694,f1696,f40,f19,f5,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f342,f1756,f963,f1774,f1183,f1474,f1881,f1891,f1883,f1880,f513,f1995,f1999,f2011,f2075,f2003]) ).

fof(f2075,plain,
    ( identity = inverse(sk_c2)
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f47,f28,f191,f193,f35,f32,f34,f36,f37,f14,f38,f76,f517,f529,f738,f832,f829,f826,f728,f788,f857,f785,f858,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f910,f911,f964,f967,f968,f10,f24,f45,f31,f1072,f25,f27,f30,f1082,f1083,f1129,f1131,f759,f970,f11,f13,f15,f44,f43,f41,f39,f17,f16,f1164,f1178,f514,f1483,f1531,f1547,f29,f185,f1656,f1657,f1658,f1694,f1696,f40,f19,f5,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f342,f1756,f963,f1774,f1183,f1474,f1881,f1891,f1883,f1880,f513,f1995,f1999,f2003,f2011]) ).

fof(f1774,plain,
    ( identity = inverse(identity)
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1770,f342]) ).

fof(f1770,plain,
    ( sk_c9 = inverse(identity)
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(superposition,[],[f185,f963]) ).

fof(f1756,plain,
    ( identity = multiply(identity,sk_c2)
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(superposition,[],[f1658,f342]) ).

fof(f1696,plain,
    ( ! [X0] : multiply(sk_c9,multiply(sk_c2,X0)) = X0
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1695,f1]) ).

fof(f1695,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c2,X0))
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f1658]) ).

fof(f1694,plain,
    ( sk_c2 = multiply(inverse(sk_c9),identity)
    | ~ spl0_8 ),
    inference(superposition,[],[f76,f1658]) ).

fof(f1658,plain,
    ( identity = multiply(sk_c9,sk_c2)
    | ~ spl0_8 ),
    inference(superposition,[],[f2,f185]) ).

fof(f1657,plain,
    ( ! [X0] : multiply(sk_c9,multiply(sk_c2,X0)) = X0
    | ~ spl0_8 ),
    inference(superposition,[],[f76,f185]) ).

fof(f1656,plain,
    ( sk_c2 = multiply(inverse(sk_c9),identity)
    | ~ spl0_8 ),
    inference(superposition,[],[f514,f185]) ).

fof(f185,plain,
    ( sk_c9 = inverse(sk_c2)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f183]) ).

fof(f1178,plain,
    ( identity = inverse(identity)
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1176,f342]) ).

fof(f1176,plain,
    ( sk_c9 = inverse(identity)
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(superposition,[],[f185,f963]) ).

fof(f1164,plain,
    ( identity = multiply(identity,sk_c2)
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(superposition,[],[f1083,f342]) ).

fof(f970,plain,
    ( identity = inverse(identity)
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(superposition,[],[f759,f963]) ).

fof(f759,plain,
    ( identity = inverse(sk_c2)
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f185,f342]) ).

fof(f1131,plain,
    ( ! [X0] : multiply(sk_c9,multiply(sk_c2,X0)) = X0
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1130,f1]) ).

fof(f1130,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c2,X0))
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f1083]) ).

fof(f1129,plain,
    ( sk_c2 = multiply(inverse(sk_c9),identity)
    | ~ spl0_8 ),
    inference(superposition,[],[f76,f1083]) ).

fof(f1083,plain,
    ( identity = multiply(sk_c9,sk_c2)
    | ~ spl0_8 ),
    inference(superposition,[],[f2,f185]) ).

fof(f1082,plain,
    ( ! [X0] : multiply(sk_c9,multiply(sk_c2,X0)) = X0
    | ~ spl0_8 ),
    inference(superposition,[],[f76,f185]) ).

fof(f1072,plain,
    ( sk_c9 = inverse(sk_c2)
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f3,f47,f30,f29,f27,f25,f28,f185,f191,f193,f35,f7,f21,f32,f34,f36,f37,f42,f15,f13,f11,f14,f38,f76,f514,f517,f529,f513,f16,f17,f10,f24,f45,f4,f6,f8,f9,f18,f20,f22,f23,f39,f41,f43,f44,f31]) ).

fof(f968,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c2,X0)) = X0
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f966,f1]) ).

fof(f966,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(identity,multiply(sk_c2,X0))
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(superposition,[],[f3,f911]) ).

fof(f967,plain,
    ( identity = sk_c2
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f965,f2]) ).

fof(f965,plain,
    ( sk_c2 = multiply(inverse(identity),identity)
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(superposition,[],[f76,f911]) ).

fof(f964,plain,
    ( identity = sk_c2
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(superposition,[],[f1,f911]) ).

fof(f911,plain,
    ( identity = multiply(identity,sk_c2)
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(superposition,[],[f2,f759]) ).

fof(f910,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c2,X0)) = X0
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(superposition,[],[f76,f759]) ).

fof(f858,plain,
    ( identity = inverse(sk_c2)
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f3,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f31,f28,f185,f191,f193,f35,f7,f10,f21,f24,f32,f34,f36,f37,f42,f45,f15,f13,f11,f14,f38,f76,f514,f517,f529,f342,f513,f738,f759,f16,f832,f829,f826,f17,f728,f788,f857,f785]) ).

fof(f857,plain,
    ( identity = inverse(sk_c2)
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f3,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f31,f28,f185,f191,f193,f35,f7,f10,f21,f24,f32,f34,f36,f37,f42,f45,f15,f13,f11,f14,f38,f76,f514,f517,f529,f342,f513,f738,f759,f785,f16,f832,f829,f826,f17,f728,f788]) ).

fof(f193,plain,
    ( ! [X0] : multiply(sk_c9,multiply(sk_c2,X0)) = X0
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f192,f1]) ).

fof(f192,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c2,X0))
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f191]) ).

fof(f191,plain,
    ( identity = multiply(sk_c9,sk_c2)
    | ~ spl0_8 ),
    inference(superposition,[],[f2,f185]) ).

fof(f2555,plain,
    ( ~ spl0_3
    | ~ spl0_8
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2554]) ).

fof(f2554,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f47,f28,f191,f193,f35,f32,f34,f36,f37,f14,f38,f96,f362,f363,f364,f76,f517,f529,f738,f832,f829,f826,f728,f788,f857,f785,f858,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f910,f911,f964,f967,f968,f10,f24,f45,f31,f1072,f25,f27,f30,f1082,f1083,f1129,f1131,f759,f970,f11,f13,f15,f44,f43,f41,f39,f17,f16,f1164,f1178,f514,f1483,f1531,f1547,f29,f185,f1656,f1657,f1658,f1694,f1696,f40,f19,f5,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f342,f1756,f1774,f1474,f1881,f1891,f2011,f2075,f2003,f2076,f1999,f2077,f1995,f2078,f513,f1880,f1883,f2082,f2091,f2093,f2099,f2101,f2103,f2109,f2111,f963,f1183,f2294,f2291,f2288,f2285,f2283,f2281,f2278,f2275,f2160,f2155,f2219,f2269,f2367,f2313,f2317,f2535,f2308,f2541,f2305,f2548,f2553]) ).

fof(f2550,plain,
    ( ~ spl0_3
    | ~ spl0_8
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2549]) ).

fof(f2549,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f47,f28,f191,f193,f35,f32,f34,f36,f37,f14,f38,f96,f362,f363,f364,f76,f517,f529,f738,f832,f829,f826,f728,f788,f857,f785,f858,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f910,f911,f964,f967,f968,f10,f24,f45,f31,f1072,f25,f27,f30,f1082,f1083,f1129,f1131,f759,f970,f11,f13,f15,f44,f43,f41,f39,f17,f16,f1164,f1178,f514,f1483,f1531,f1547,f29,f185,f1656,f1657,f1658,f1694,f1696,f40,f19,f5,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f342,f1756,f1774,f1474,f1881,f1891,f2011,f2075,f2003,f2076,f1999,f2077,f1995,f2078,f513,f1880,f1883,f2082,f2091,f2093,f2099,f2101,f2103,f2109,f2111,f963,f1183,f2294,f2291,f2288,f2285,f2283,f2281,f2278,f2275,f2160,f2155,f2219,f2269,f2367,f2313,f2317,f2535,f2308,f2541,f2305,f2548]) ).

fof(f2545,plain,
    ( ~ spl0_3
    | ~ spl0_8
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2544]) ).

fof(f2544,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f47,f28,f191,f193,f35,f32,f34,f36,f37,f14,f38,f96,f362,f363,f364,f76,f517,f529,f738,f832,f829,f826,f728,f788,f857,f785,f858,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f910,f911,f964,f967,f968,f10,f24,f45,f31,f1072,f25,f27,f30,f1082,f1083,f1129,f1131,f759,f970,f11,f13,f15,f44,f43,f41,f39,f17,f16,f1164,f1178,f514,f1483,f1531,f1547,f29,f185,f1656,f1657,f1658,f1694,f1696,f40,f19,f5,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f342,f1756,f1774,f1474,f1881,f1891,f2011,f2075,f2003,f2076,f1999,f2077,f1995,f2078,f513,f1880,f1883,f2082,f2091,f2093,f2099,f2101,f2103,f2109,f2111,f963,f1183,f2294,f2291,f2288,f2285,f2283,f2281,f2278,f2275,f2160,f2155,f2219,f2269,f2367,f2313,f2317,f2535,f2308,f2541,f2305]) ).

fof(f2543,plain,
    ( ~ spl0_3
    | ~ spl0_8
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2542]) ).

fof(f2542,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f47,f28,f191,f193,f35,f32,f34,f36,f37,f14,f38,f96,f362,f363,f364,f76,f517,f529,f738,f832,f829,f826,f728,f788,f857,f785,f858,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f910,f911,f964,f967,f968,f10,f24,f45,f31,f1072,f25,f27,f30,f1082,f1083,f1129,f1131,f759,f970,f11,f13,f15,f44,f43,f41,f39,f17,f16,f1164,f1178,f514,f1483,f1531,f1547,f29,f185,f1656,f1657,f1658,f1694,f1696,f40,f19,f5,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f342,f1756,f1774,f1474,f1881,f1891,f2011,f2075,f2003,f2076,f1999,f2077,f1995,f2078,f513,f1880,f1883,f2082,f2091,f2093,f2099,f2101,f2103,f2109,f2111,f963,f1183,f2305,f2294,f2291,f2288,f2285,f2283,f2281,f2278,f2275,f2160,f2155,f2219,f2269,f2367,f2313,f2317,f2535,f2308,f2541]) ).

fof(f2539,plain,
    ( ~ spl0_3
    | ~ spl0_8
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2538]) ).

fof(f2538,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f47,f28,f191,f193,f35,f32,f34,f36,f37,f14,f38,f96,f362,f363,f364,f76,f517,f529,f738,f832,f829,f826,f728,f788,f857,f785,f858,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f910,f911,f964,f967,f968,f10,f24,f45,f31,f1072,f25,f27,f30,f1082,f1083,f1129,f1131,f759,f970,f11,f13,f15,f44,f43,f41,f39,f17,f16,f1164,f1178,f514,f1483,f1531,f1547,f29,f185,f1656,f1657,f1658,f1694,f1696,f40,f19,f5,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f342,f1756,f1774,f1474,f1881,f1891,f2011,f2075,f2003,f2076,f1999,f2077,f1995,f2078,f513,f1880,f1883,f2082,f2091,f2093,f2099,f2101,f2103,f2109,f2111,f963,f1183,f2305,f2294,f2291,f2288,f2285,f2283,f2281,f2278,f2275,f2160,f2155,f2219,f2269,f2367,f2313,f2317,f2535,f2308]) ).

fof(f2537,plain,
    ( ~ spl0_3
    | ~ spl0_8
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2536]) ).

fof(f2536,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f47,f28,f191,f193,f35,f32,f34,f36,f37,f14,f38,f96,f362,f363,f364,f76,f517,f529,f738,f832,f829,f826,f728,f788,f857,f785,f858,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f910,f911,f964,f967,f968,f10,f24,f45,f31,f1072,f25,f27,f30,f1082,f1083,f1129,f1131,f759,f970,f11,f13,f15,f44,f43,f41,f39,f17,f16,f1164,f1178,f514,f1483,f1531,f1547,f29,f185,f1656,f1657,f1658,f1694,f1696,f40,f19,f5,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f342,f1756,f1774,f1474,f1881,f1891,f2011,f2075,f2003,f2076,f1999,f2077,f1995,f2078,f513,f1880,f1883,f2082,f2091,f2093,f2099,f2101,f2103,f2109,f2111,f963,f1183,f2305,f2308,f2294,f2291,f2288,f2285,f2283,f2281,f2278,f2275,f2160,f2155,f2219,f2269,f2367,f2313,f2317,f2535]) ).

fof(f2533,plain,
    ( ~ spl0_3
    | ~ spl0_8
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2532]) ).

fof(f2532,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f47,f28,f191,f193,f35,f32,f34,f36,f37,f14,f38,f96,f362,f363,f364,f76,f517,f529,f738,f832,f829,f826,f728,f788,f857,f785,f858,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f910,f911,f964,f967,f968,f10,f24,f45,f31,f1072,f25,f27,f30,f1082,f1083,f1129,f1131,f759,f970,f11,f13,f15,f44,f43,f41,f39,f17,f16,f1164,f1178,f514,f1483,f1531,f1547,f29,f185,f1656,f1657,f1658,f1694,f1696,f40,f19,f5,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f342,f1756,f1774,f1474,f1881,f1891,f2011,f2075,f2003,f2076,f1999,f2077,f1995,f2078,f513,f1880,f1883,f2082,f2091,f2093,f2099,f2101,f2103,f2109,f2111,f963,f1183,f2305,f2308,f2294,f2291,f2288,f2285,f2283,f2281,f2278,f2275,f2160,f2155,f2219,f2269,f2367,f2313,f2317]) ).

fof(f2531,plain,
    ( ~ spl0_3
    | ~ spl0_8
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2530]) ).

fof(f2530,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f47,f28,f191,f193,f35,f32,f34,f36,f37,f14,f38,f96,f362,f363,f364,f76,f517,f529,f738,f832,f829,f826,f728,f788,f857,f785,f858,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f910,f911,f964,f967,f968,f10,f24,f45,f31,f1072,f25,f27,f30,f1082,f1083,f1129,f1131,f759,f970,f11,f13,f15,f44,f43,f41,f39,f17,f16,f1164,f1178,f514,f1483,f1531,f1547,f29,f185,f1656,f1657,f1658,f1694,f1696,f40,f19,f5,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f342,f1756,f1774,f1474,f1881,f1891,f2011,f2075,f2003,f2076,f1999,f2077,f1995,f2078,f513,f1880,f1883,f2082,f2091,f2093,f2099,f2101,f2103,f2109,f2111,f963,f1183,f2305,f2308,f2317,f2294,f2291,f2288,f2285,f2283,f2281,f2278,f2275,f2160,f2155,f2219,f2269,f2367,f2313]) ).

fof(f2529,plain,
    ( ~ spl0_3
    | ~ spl0_8
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2528]) ).

fof(f2528,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f47,f28,f191,f193,f35,f32,f34,f36,f37,f14,f38,f96,f362,f363,f364,f76,f517,f529,f738,f832,f829,f826,f728,f788,f857,f785,f858,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f910,f911,f964,f967,f968,f10,f24,f45,f31,f1072,f25,f27,f30,f1082,f1083,f1129,f1131,f759,f970,f11,f13,f15,f44,f43,f41,f39,f17,f16,f1164,f1178,f514,f1483,f1531,f1547,f29,f185,f1656,f1657,f1658,f1694,f1696,f40,f19,f5,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f342,f1756,f1774,f1474,f1881,f1891,f2011,f2075,f2003,f2076,f1999,f2077,f1995,f2078,f513,f1880,f1883,f2082,f2091,f2093,f2099,f2101,f2103,f2109,f2111,f963,f1183,f2305,f2308,f2313,f2317,f2294,f2291,f2288,f2285,f2283,f2281,f2278,f2275,f2160,f2155,f2219,f2269,f2367]) ).

fof(f2527,plain,
    ( ~ spl0_3
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2526]) ).

fof(f2526,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f2525,f26,f33,f1,f2,f12,f3,f47,f28,f191,f193,f35,f32,f34,f36,f37,f14,f38,f96,f362,f363,f364,f76,f517,f529,f738,f832,f829,f826,f728,f788,f857,f785,f858,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f910,f911,f964,f967,f968,f10,f24,f45,f31,f1072,f25,f27,f30,f1082,f1083,f1129,f1131,f759,f970,f11,f13,f15,f44,f43,f41,f39,f17,f16,f1164,f1178,f514,f1483,f1531,f1547,f29,f185,f1656,f1657,f1658,f1694,f1696,f40,f19,f5,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f342,f1756,f1774,f1474,f1881,f1891,f2011,f2075,f2003,f2076,f1999,f2077,f1995,f2078,f513,f1880,f1883,f2082,f2091,f2093,f2099,f2101,f2103,f2109,f2111,f963,f1183,f2305,f2308,f2313,f2317,f2294,f2291,f2288,f2285,f2283,f2281,f2278,f2275,f2160,f2155,f2219,f2367,f2269]) ).

fof(f2525,plain,
    ( identity = sk_c5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f2374,f1183]) ).

fof(f2524,plain,
    ( ~ spl0_3
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2523]) ).

fof(f2523,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f2379,f26,f33,f1,f2,f12,f3,f47,f28,f191,f193,f35,f32,f34,f36,f37,f14,f38,f96,f362,f363,f364,f76,f517,f529,f738,f832,f829,f826,f728,f788,f857,f785,f858,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f910,f911,f964,f967,f968,f10,f24,f45,f31,f1072,f25,f27,f30,f1082,f1083,f1129,f1131,f759,f970,f11,f13,f15,f44,f43,f41,f39,f17,f16,f1164,f1178,f514,f1483,f1531,f1547,f29,f185,f1656,f1657,f1658,f1694,f1696,f40,f19,f5,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f342,f1756,f1774,f1474,f1881,f1891,f2011,f2075,f2003,f2076,f1999,f2077,f1995,f2078,f513,f1880,f1883,f2082,f2091,f2093,f2099,f2101,f2103,f2109,f2111,f963,f1183,f2305,f2308,f2313,f2317,f2294,f2291,f2288,f2285,f2283,f2281,f2278,f2275,f2160,f2155,f2219,f2367,f2269]) ).

fof(f2379,plain,
    ( identity = sk_c5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f2374,f1183]) ).

fof(f2522,plain,
    ( ~ spl0_3
    | ~ spl0_8
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f2521]) ).

fof(f2521,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f2520,f26,f33,f1,f2,f12,f3,f47,f28,f191,f193,f35,f32,f34,f36,f37,f14,f38,f96,f362,f363,f364,f76,f517,f529,f738,f832,f829,f826,f728,f788,f857,f785,f858,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f910,f911,f964,f967,f968,f10,f24,f45,f31,f1072,f25,f27,f30,f1082,f1083,f1129,f1131,f759,f970,f11,f13,f15,f44,f43,f41,f39,f17,f16,f1164,f1178,f514,f1483,f1531,f1547,f29,f185,f1656,f1657,f1658,f1694,f1696,f40,f19,f5,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f342,f1756,f1774,f1474,f1881,f1891,f2011,f2075,f2003,f2076,f1999,f2077,f1995,f2078,f513,f1880,f1883,f2082,f2091,f2093,f2099,f2101,f2103,f2109,f2111,f963,f1183,f2305,f2308,f2313,f2317,f2294,f2291,f2288,f2285,f2283,f2281,f2278,f2275,f2160,f2155,f2219,f2367,f2269]) ).

fof(f2520,plain,
    ( identity = multiply(sk_c8,identity)
    | identity = sk_c8
    | ~ spl0_8
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f2269,f2371]) ).

fof(f2517,plain,
    ( ~ spl0_8
    | ~ spl0_9
    | ~ spl0_15
    | spl0_16
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f2516]) ).

fof(f2516,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_15
    | spl0_16
    | ~ spl0_17 ),
    inference(subsumption_resolution,[],[f2510,f2366]) ).

fof(f2510,plain,
    ( identity = sk_c8
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_15
    | spl0_16
    | ~ spl0_17 ),
    inference(superposition,[],[f2341,f2508]) ).

fof(f2508,plain,
    ( identity = multiply(sk_c8,identity)
    | ~ spl0_8
    | ~ spl0_15
    | spl0_16
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f2507,f2371]) ).

fof(f2507,plain,
    ( identity = multiply(sk_c8,sk_c7)
    | ~ spl0_8
    | ~ spl0_15
    | spl0_16 ),
    inference(subsumption_resolution,[],[f2269,f2366]) ).

fof(f2515,plain,
    ( ~ spl0_8
    | ~ spl0_9
    | ~ spl0_15
    | spl0_16
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f2514]) ).

fof(f2514,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_15
    | spl0_16
    | ~ spl0_17 ),
    inference(subsumption_resolution,[],[f2509,f2366]) ).

fof(f2509,plain,
    ( identity = sk_c8
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_15
    | spl0_16
    | ~ spl0_17 ),
    inference(superposition,[],[f2508,f2341]) ).

fof(f2482,plain,
    ( ~ spl0_6
    | ~ spl0_8
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2481]) ).

fof(f2481,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(subsumption_resolution,[],[f2480,f1183]) ).

fof(f2480,plain,
    ( identity != inverse(identity)
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f2479,f1183]) ).

fof(f2479,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f2478,f1183]) ).

fof(f2478,plain,
    ( identity != inverse(inverse(inverse(identity)))
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f2477,f1183]) ).

fof(f2476,plain,
    ( ~ spl0_6
    | ~ spl0_8
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2475]) ).

fof(f2475,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(subsumption_resolution,[],[f2474,f1183]) ).

fof(f2474,plain,
    ( identity != inverse(identity)
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f2473,f1183]) ).

fof(f2472,plain,
    ( ~ spl0_6
    | ~ spl0_8
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2471]) ).

fof(f2471,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(subsumption_resolution,[],[f2470,f1183]) ).

fof(f2469,plain,
    ( ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2468]) ).

fof(f2468,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(subsumption_resolution,[],[f2467,f1183]) ).

fof(f2464,plain,
    ( ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2463]) ).

fof(f2463,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(subsumption_resolution,[],[f2462,f1183]) ).

fof(f2462,plain,
    ( identity != inverse(identity)
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f2461,f2379]) ).

fof(f2461,plain,
    ( identity != inverse(sk_c5)
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(subsumption_resolution,[],[f2460,f1]) ).

fof(f2460,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(sk_c5)
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f2439,f2379]) ).

fof(f2372,plain,
    ( spl0_16
    | spl0_17
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f2363,f341,f323,f187,f183,f2369,f2365]) ).

fof(f2363,plain,
    ( identity = sk_c7
    | identity = sk_c8
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f2362,f2324]) ).

fof(f2362,plain,
    ( multiply(sk_c5,sk_c8) = sk_c7
    | identity = sk_c8
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f2219,f1217]) ).

fof(f2319,plain,
    ( ~ spl0_3
    | ~ spl0_8
    | spl0_9
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f2318]) ).

fof(f2318,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_8
    | spl0_9
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f47,f28,f191,f193,f196,f197,f199,f202,f204,f206,f208,f207,f209,f210,f212,f211,f213,f243,f35,f32,f34,f36,f37,f14,f38,f321,f327,f329,f96,f362,f363,f364,f76,f517,f529,f593,f592,f710,f738,f832,f829,f826,f728,f788,f857,f785,f858,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f910,f911,f964,f967,f968,f10,f24,f45,f31,f1072,f25,f27,f30,f1082,f1083,f1129,f1131,f759,f970,f11,f13,f15,f44,f43,f41,f39,f17,f16,f1162,f1163,f1164,f1178,f514,f1483,f1531,f1537,f1171,f1547,f545,f525,f1465,f29,f185,f1656,f1657,f1658,f1694,f1696,f40,f19,f5,f4,f1723,f18,f1724,f22,f1725,f8,f1726,f6,f1727,f20,f1728,f23,f1729,f9,f1730,f42,f21,f1732,f7,f1733,f1731,f1744,f1747,f1746,f342,f1754,f1755,f1756,f1763,f1774,f1474,f1881,f1891,f2011,f2075,f2003,f2076,f1999,f2077,f1995,f2078,f906,f1767,f513,f1973,f1880,f1883,f2082,f2016,f2022,f2034,f2091,f2093,f2099,f2101,f2103,f2107,f2109,f2111,f963,f1183,f1793,f1787,f2043,f2175,f2028,f2177,f2178,f2219,f2267,f2269,f2270,f188,f2155,f2271,f2160,f2272,f2273,f2275,f2276,f2278,f2279,f2281,f2282,f2283,f2284,f2285,f2286,f2288,f2289,f2291,f2292,f2294,f2295,f2176,f696,f2181,f2304,f2305,f2308,f2313,f2317]) ).

fof(f2304,plain,
    ( identity = inverse(sk_c3)
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f321,f342]) ).

fof(f2181,plain,
    ( identity != inverse(sk_c5)
    | spl0_9
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f188,f2176]) ).

fof(f696,plain,
    ( identity = sk_c3
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f695,f2]) ).

fof(f695,plain,
    ( sk_c3 = multiply(inverse(identity),identity)
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f545,f342]) ).

fof(f2176,plain,
    ( identity = sk_c8
    | spl0_9
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f47,f28,f196,f197,f199,f202,f204,f206,f208,f210,f212,f211,f213,f243,f35,f32,f34,f36,f37,f14,f38,f321,f327,f329,f76,f517,f529,f593,f592,f710,f738,f832,f829,f826,f728,f788,f785,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f1162,f1163,f514,f1483,f1531,f1537,f1171,f1547,f545,f525,f1465,f29,f40,f19,f5,f4,f1723,f18,f1724,f22,f1725,f8,f1726,f6,f1727,f20,f1728,f23,f1729,f9,f1730,f42,f21,f1732,f7,f1733,f1731,f1744,f1747,f1746,f342,f1754,f1755,f696,f1763,f1474,f1881,f1891,f2011,f2003,f1999,f1995,f906,f1767,f513,f1973,f1880,f1883,f2016,f2022,f2034,f2091,f2093,f2099,f2101,f2103,f2107,f2109,f2111,f188,f1793,f1787,f2043,f2175,f2028]) ).

fof(f2295,plain,
    ( identity = inverse(sk_c3)
    | spl0_9
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f47,f28,f196,f197,f199,f202,f204,f206,f208,f210,f212,f211,f213,f243,f35,f32,f34,f36,f37,f14,f38,f76,f517,f529,f738,f832,f829,f826,f728,f788,f785,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f514,f1483,f1531,f1547,f29,f40,f19,f5,f4,f1723,f18,f1724,f22,f1725,f8,f1726,f6,f1727,f20,f1728,f23,f1729,f9,f1730,f42,f21,f1732,f7,f1733,f1731,f1746,f342,f1474,f1881,f1891,f2011,f2003,f1999,f1995,f513,f1880,f1883,f2091,f2093,f2099,f2101,f2103,f2109,f2111,f188,f2273,f2275,f2276,f2278,f2279,f2281,f2282,f2283,f2284,f2285,f2286,f2288,f2289,f2291,f2292,f2294]) ).

fof(f2292,plain,
    ( identity = inverse(sk_c3)
    | spl0_9
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f47,f28,f196,f197,f199,f202,f204,f206,f208,f210,f212,f211,f213,f243,f35,f32,f34,f36,f37,f14,f38,f76,f517,f529,f738,f832,f829,f826,f728,f788,f785,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f514,f1483,f1531,f1547,f29,f40,f19,f5,f4,f1723,f18,f1724,f22,f1725,f8,f1726,f6,f1727,f20,f1728,f23,f1729,f9,f1730,f42,f21,f1732,f7,f1733,f1731,f1746,f342,f1474,f1881,f1891,f2011,f2003,f1999,f1995,f513,f1880,f1883,f2091,f2093,f2099,f2101,f2103,f2109,f2111,f188,f2273,f2275,f2276,f2278,f2279,f2281,f2282,f2283,f2284,f2285,f2286,f2288,f2289,f2291]) ).

fof(f2289,plain,
    ( identity = inverse(sk_c3)
    | spl0_9
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f47,f28,f196,f197,f199,f202,f204,f206,f208,f210,f212,f211,f213,f243,f35,f32,f34,f36,f37,f14,f38,f76,f517,f529,f738,f832,f829,f826,f728,f788,f785,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f514,f1483,f1531,f1547,f29,f40,f19,f5,f4,f1723,f18,f1724,f22,f1725,f8,f1726,f6,f1727,f20,f1728,f23,f1729,f9,f1730,f42,f21,f1732,f7,f1733,f1731,f1746,f342,f1474,f1881,f1891,f2011,f2003,f1999,f1995,f513,f1880,f1883,f2091,f2093,f2099,f2101,f2103,f2109,f2111,f188,f2273,f2275,f2276,f2278,f2279,f2281,f2282,f2283,f2284,f2285,f2286,f2288]) ).

fof(f2286,plain,
    ( identity = inverse(sk_c3)
    | spl0_9
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f47,f28,f196,f197,f199,f202,f204,f206,f208,f210,f212,f211,f213,f243,f35,f32,f34,f36,f37,f14,f38,f76,f517,f529,f738,f832,f829,f826,f728,f788,f785,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f514,f1483,f1531,f1547,f29,f40,f19,f5,f4,f1723,f18,f1724,f22,f1725,f8,f1726,f6,f1727,f20,f1728,f23,f1729,f9,f1730,f42,f21,f1732,f7,f1733,f1731,f1746,f342,f1474,f1881,f1891,f2011,f2003,f1999,f1995,f513,f1880,f1883,f2091,f2093,f2099,f2101,f2103,f2109,f2111,f188,f2273,f2275,f2276,f2278,f2279,f2281,f2282,f2283,f2284,f2285]) ).

fof(f2284,plain,
    ( identity = multiply(sk_c3,sk_c8)
    | spl0_9
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f47,f28,f196,f197,f199,f202,f204,f206,f208,f210,f212,f211,f213,f243,f35,f32,f34,f36,f37,f14,f38,f76,f517,f529,f738,f832,f829,f826,f728,f788,f785,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f514,f1483,f1531,f1547,f29,f40,f19,f5,f4,f1723,f18,f1724,f22,f1725,f8,f1726,f6,f1727,f20,f1728,f23,f1729,f9,f1730,f42,f21,f1732,f7,f1733,f1731,f1746,f342,f1474,f1881,f1891,f2011,f2003,f1999,f1995,f513,f1880,f1883,f2091,f2093,f2099,f2101,f2103,f2109,f2111,f188,f2273,f2275,f2276,f2278,f2279,f2281,f2282,f2283]) ).

fof(f2282,plain,
    ( identity = multiply(sk_c3,sk_c8)
    | spl0_9
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f47,f28,f196,f197,f199,f202,f204,f206,f208,f210,f212,f211,f213,f243,f35,f32,f34,f36,f37,f14,f38,f76,f517,f529,f738,f832,f829,f826,f728,f788,f785,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f514,f1483,f1531,f1547,f29,f40,f19,f5,f4,f1723,f18,f1724,f22,f1725,f8,f1726,f6,f1727,f20,f1728,f23,f1729,f9,f1730,f42,f21,f1732,f7,f1733,f1731,f1746,f342,f1474,f1881,f1891,f2011,f2003,f1999,f1995,f513,f1880,f1883,f2091,f2093,f2099,f2101,f2103,f2109,f2111,f188,f2273,f2275,f2276,f2278,f2279,f2281]) ).

fof(f2279,plain,
    ( identity = multiply(sk_c3,sk_c8)
    | spl0_9
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f47,f28,f196,f197,f199,f202,f204,f206,f208,f210,f212,f211,f213,f243,f35,f32,f34,f36,f37,f14,f38,f76,f517,f529,f738,f832,f829,f826,f728,f788,f785,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f514,f1483,f1531,f1547,f29,f40,f19,f5,f4,f1723,f18,f1724,f22,f1725,f8,f1726,f6,f1727,f20,f1728,f23,f1729,f9,f1730,f42,f21,f1732,f7,f1733,f1731,f1746,f342,f1474,f1881,f1891,f2011,f2003,f1999,f1995,f513,f1880,f1883,f2091,f2093,f2099,f2101,f2103,f2109,f2111,f188,f2273,f2275,f2276,f2278]) ).

fof(f2276,plain,
    ( identity = multiply(sk_c3,sk_c8)
    | spl0_9
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f47,f28,f196,f197,f199,f202,f204,f206,f208,f210,f212,f211,f213,f243,f35,f32,f34,f36,f37,f14,f38,f76,f517,f529,f738,f832,f829,f826,f728,f788,f785,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f514,f1483,f1531,f1547,f29,f40,f19,f5,f4,f1723,f18,f1724,f22,f1725,f8,f1726,f6,f1727,f20,f1728,f23,f1729,f9,f1730,f42,f21,f1732,f7,f1733,f1731,f1746,f342,f1474,f1881,f1891,f2011,f2003,f1999,f1995,f513,f1880,f1883,f2091,f2093,f2099,f2101,f2103,f2109,f2111,f188,f2273,f2275]) ).

fof(f2273,plain,
    ( identity = inverse(sk_c3)
    | spl0_9
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f196,f342]) ).

fof(f2272,plain,
    ( identity = sk_c8
    | ~ spl0_8
    | spl0_9
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f47,f28,f191,f193,f196,f197,f199,f202,f204,f206,f208,f207,f209,f210,f212,f211,f213,f243,f35,f32,f34,f36,f37,f14,f38,f76,f517,f529,f738,f832,f829,f826,f728,f788,f857,f785,f858,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f910,f911,f964,f967,f968,f10,f24,f45,f31,f1072,f25,f27,f30,f1082,f1083,f1129,f1131,f759,f970,f11,f13,f15,f44,f43,f41,f39,f17,f16,f1164,f1178,f514,f1483,f1531,f1547,f29,f185,f1656,f1657,f1658,f1694,f1696,f40,f19,f5,f4,f1723,f18,f1724,f22,f1725,f8,f1726,f6,f1727,f20,f1728,f23,f1729,f9,f1730,f42,f21,f1732,f7,f1733,f1731,f1746,f342,f1756,f1774,f1474,f1881,f1891,f2011,f2075,f2003,f2076,f1999,f2077,f1995,f2078,f513,f1880,f1883,f2082,f2091,f2093,f2099,f2101,f2103,f2109,f2111,f963,f1183,f2219,f2267,f2269,f2270,f188,f2155,f2271,f2160]) ).

fof(f2271,plain,
    ( identity = sk_c8
    | ~ spl0_8
    | spl0_9
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f47,f28,f191,f193,f196,f197,f199,f202,f204,f206,f208,f207,f209,f210,f212,f211,f213,f243,f35,f32,f34,f36,f37,f14,f38,f76,f517,f529,f738,f832,f829,f826,f728,f788,f857,f785,f858,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f910,f911,f964,f967,f968,f10,f24,f45,f31,f1072,f25,f27,f30,f1082,f1083,f1129,f1131,f759,f970,f11,f13,f15,f44,f43,f41,f39,f17,f16,f1164,f1178,f514,f1483,f1531,f1547,f29,f185,f1656,f1657,f1658,f1694,f1696,f40,f19,f5,f4,f1723,f18,f1724,f22,f1725,f8,f1726,f6,f1727,f20,f1728,f23,f1729,f9,f1730,f42,f21,f1732,f7,f1733,f1731,f1746,f342,f1756,f1774,f1474,f1881,f1891,f2011,f2075,f2003,f2076,f1999,f2077,f1995,f2078,f513,f1880,f1883,f2082,f2091,f2093,f2099,f2101,f2103,f2109,f2111,f963,f1183,f2160,f2219,f2267,f2269,f2270,f188,f2155]) ).

fof(f188,plain,
    ( sk_c8 != inverse(sk_c5)
    | spl0_9 ),
    inference(avatar_component_clause,[],[f187]) ).

fof(f2270,plain,
    ( identity = sk_c8
    | ~ spl0_8
    | spl0_9
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f47,f28,f191,f193,f196,f197,f199,f202,f204,f206,f208,f207,f209,f210,f212,f211,f213,f243,f35,f32,f34,f36,f37,f14,f38,f76,f517,f529,f738,f832,f829,f826,f728,f788,f857,f785,f858,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f910,f911,f964,f967,f968,f10,f24,f45,f31,f1072,f25,f27,f30,f1082,f1083,f1129,f1131,f759,f970,f11,f13,f15,f44,f43,f41,f39,f17,f16,f1164,f1178,f514,f1483,f1531,f1547,f29,f185,f1656,f1657,f1658,f1694,f1696,f40,f19,f5,f4,f1723,f18,f1724,f22,f1725,f8,f1726,f6,f1727,f20,f1728,f23,f1729,f9,f1730,f42,f21,f1732,f7,f1733,f1731,f1746,f342,f1756,f1774,f1474,f1881,f1891,f2011,f2075,f2003,f2076,f1999,f2077,f1995,f2078,f513,f1880,f1883,f2082,f2091,f2093,f2099,f2101,f2103,f2109,f2111,f963,f1183,f188,f2160,f2155,f2219,f2267,f2269]) ).

fof(f2267,plain,
    ( identity = sk_c8
    | ~ spl0_8
    | spl0_9
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f47,f28,f191,f193,f196,f197,f199,f202,f204,f206,f208,f207,f209,f210,f212,f211,f213,f243,f35,f32,f34,f36,f37,f14,f38,f76,f517,f529,f738,f832,f829,f826,f728,f788,f857,f785,f858,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f910,f911,f964,f967,f968,f10,f24,f45,f31,f1072,f25,f27,f30,f1082,f1083,f1129,f1131,f759,f970,f11,f13,f15,f44,f43,f41,f39,f17,f16,f1164,f1178,f514,f1483,f1531,f1547,f29,f185,f1656,f1657,f1658,f1694,f1696,f40,f19,f5,f4,f1723,f18,f1724,f22,f1725,f8,f1726,f6,f1727,f20,f1728,f23,f1729,f9,f1730,f42,f21,f1732,f7,f1733,f1731,f1746,f342,f1756,f1774,f1474,f1881,f1891,f2011,f2075,f2003,f2076,f1999,f2077,f1995,f2078,f513,f1880,f1883,f2082,f2091,f2093,f2099,f2101,f2103,f2109,f2111,f963,f1183,f188,f2160,f2155,f2219]) ).

fof(f2178,plain,
    ( identity = sk_c8
    | ~ spl0_8
    | spl0_9
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f2155,f26,f33,f1,f2,f12,f3,f47,f28,f196,f197,f199,f202,f204,f206,f208,f210,f212,f211,f213,f243,f35,f32,f34,f36,f37,f14,f38,f321,f327,f329,f76,f517,f529,f593,f592,f710,f738,f832,f829,f826,f728,f788,f785,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f1162,f1163,f514,f1483,f1531,f1537,f1171,f1547,f545,f525,f1465,f29,f40,f19,f5,f4,f1723,f18,f1724,f22,f1725,f8,f1726,f6,f1727,f20,f1728,f23,f1729,f9,f1730,f42,f21,f1732,f7,f1733,f1731,f1744,f1747,f1746,f342,f1754,f1755,f696,f1763,f1474,f1881,f1891,f2011,f2003,f1999,f1995,f906,f1767,f513,f1973,f1880,f1883,f2016,f2022,f2034,f2091,f2093,f2099,f2101,f2103,f2107,f2109,f2111,f188,f1793,f1787,f2043,f2175,f2028,f2176]) ).

fof(f2177,plain,
    ( identity = sk_c8
    | ~ spl0_8
    | spl0_9
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f2160,f26,f33,f1,f2,f12,f3,f47,f28,f196,f197,f199,f202,f204,f206,f208,f210,f212,f211,f213,f243,f35,f32,f34,f36,f37,f14,f38,f321,f327,f329,f76,f517,f529,f593,f592,f710,f738,f832,f829,f826,f728,f788,f785,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f1162,f1163,f514,f1483,f1531,f1537,f1171,f1547,f545,f525,f1465,f29,f40,f19,f5,f4,f1723,f18,f1724,f22,f1725,f8,f1726,f6,f1727,f20,f1728,f23,f1729,f9,f1730,f42,f21,f1732,f7,f1733,f1731,f1744,f1747,f1746,f342,f1754,f1755,f696,f1763,f1474,f1881,f1891,f2011,f2003,f1999,f1995,f906,f1767,f513,f1973,f1880,f1883,f2016,f2022,f2034,f2091,f2093,f2099,f2101,f2103,f2107,f2109,f2111,f188,f1793,f1787,f2043,f2175,f2028,f2176]) ).

fof(f2028,plain,
    ( identity = sk_c8
    | identity = multiply(sk_c5,sk_c8)
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f2027,f342]) ).

fof(f2027,plain,
    ( sk_c9 = sk_c8
    | identity = multiply(sk_c5,sk_c8)
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f2026,f1]) ).

fof(f2026,plain,
    ( sk_c9 = multiply(identity,sk_c8)
    | identity = multiply(sk_c5,sk_c8)
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f2025,f696]) ).

fof(f2175,plain,
    ( identity = multiply(identity,sk_c8)
    | spl0_9
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f47,f28,f196,f197,f199,f202,f204,f206,f208,f210,f212,f211,f213,f243,f35,f32,f34,f36,f37,f14,f38,f321,f327,f329,f76,f517,f529,f593,f592,f710,f738,f832,f829,f826,f728,f788,f785,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f1162,f1163,f514,f1483,f1531,f1537,f1171,f1547,f545,f525,f1465,f29,f40,f19,f5,f4,f1723,f18,f1724,f22,f1725,f8,f1726,f6,f1727,f20,f1728,f23,f1729,f9,f1730,f42,f21,f1732,f7,f1733,f1731,f1744,f1747,f1746,f342,f1754,f1755,f696,f1763,f1474,f1881,f1891,f2028,f2011,f2003,f1999,f1995,f906,f1767,f513,f1973,f1880,f1883,f2016,f2022,f2034,f2091,f2093,f2099,f2101,f2103,f2107,f2109,f2111,f188,f1793,f1787,f2043]) ).

fof(f2043,plain,
    ( identity = multiply(identity,sk_c8)
    | sk_c8 = inverse(sk_c5)
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f2042,f342]) ).

fof(f2042,plain,
    ( sk_c9 = multiply(identity,sk_c8)
    | sk_c8 = inverse(sk_c5)
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f42,f696]) ).

fof(f1787,plain,
    ( identity = sk_c8
    | spl0_9
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1786,f1]) ).

fof(f1786,plain,
    ( sk_c8 = multiply(identity,identity)
    | spl0_9
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1747,f342]) ).

fof(f1793,plain,
    ( identity = sk_c8
    | spl0_9
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1792,f1]) ).

fof(f1792,plain,
    ( sk_c8 = multiply(identity,identity)
    | spl0_9
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1744,f342]) ).

fof(f2107,plain,
    ( identity = multiply(identity,sk_c8)
    | sk_c10 = inverse(sk_c4)
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f2106,f342]) ).

fof(f2106,plain,
    ( sk_c9 = multiply(identity,sk_c8)
    | sk_c10 = inverse(sk_c4)
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f40,f696]) ).

fof(f2034,plain,
    ( identity = sk_c8
    | identity = multiply(sk_c4,sk_c10)
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f2033,f342]) ).

fof(f2033,plain,
    ( sk_c9 = sk_c8
    | identity = multiply(sk_c4,sk_c10)
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f2032,f1]) ).

fof(f2032,plain,
    ( sk_c9 = multiply(identity,sk_c8)
    | identity = multiply(sk_c4,sk_c10)
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f2031,f696]) ).

fof(f2031,plain,
    ( identity = multiply(sk_c4,sk_c10)
    | sk_c9 = multiply(sk_c3,sk_c8)
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f39,f342]) ).

fof(f2022,plain,
    ( identity = multiply(sk_c8,sk_c7)
    | identity = sk_c8
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f2021,f342]) ).

fof(f2021,plain,
    ( identity = sk_c8
    | sk_c9 = multiply(sk_c8,sk_c7)
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f2020,f342]) ).

fof(f2020,plain,
    ( sk_c9 = sk_c8
    | sk_c9 = multiply(sk_c8,sk_c7)
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f2019,f1]) ).

fof(f2019,plain,
    ( sk_c9 = multiply(identity,sk_c8)
    | sk_c9 = multiply(sk_c8,sk_c7)
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f43,f696]) ).

fof(f2016,plain,
    ( identity = sk_c8
    | sk_c7 = multiply(sk_c6,sk_c8)
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f2015,f342]) ).

fof(f2015,plain,
    ( sk_c9 = sk_c8
    | sk_c7 = multiply(sk_c6,sk_c8)
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f2014,f1]) ).

fof(f2014,plain,
    ( sk_c9 = multiply(identity,sk_c8)
    | sk_c7 = multiply(sk_c6,sk_c8)
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f44,f696]) ).

fof(f1973,plain,
    ( ! [X0] : multiply(inverse(identity),X0) = X0
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1972,f1]) ).

fof(f1972,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(identity),X0)
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1857,f696]) ).

fof(f1857,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(identity),X0)
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f525,f342]) ).

fof(f1767,plain,
    ( identity = inverse(identity)
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1762,f342]) ).

fof(f1762,plain,
    ( sk_c9 = inverse(identity)
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(superposition,[],[f321,f696]) ).

fof(f906,plain,
    ( identity = inverse(identity)
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f902,f342]) ).

fof(f902,plain,
    ( sk_c9 = inverse(identity)
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(superposition,[],[f321,f696]) ).

fof(f1763,plain,
    ( identity = multiply(identity,sk_c8)
    | spl0_9
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1759,f342]) ).

fof(f1759,plain,
    ( sk_c9 = multiply(identity,sk_c8)
    | spl0_9
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(superposition,[],[f1731,f696]) ).

fof(f1755,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c3,X0)) = X0
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(superposition,[],[f329,f342]) ).

fof(f1754,plain,
    ( identity = multiply(identity,sk_c3)
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(superposition,[],[f327,f342]) ).

fof(f1746,plain,
    ( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c3,multiply(sk_c8,X0))
    | spl0_9 ),
    inference(superposition,[],[f3,f1731]) ).

fof(f1747,plain,
    ( sk_c8 = multiply(sk_c9,sk_c9)
    | spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1745,f321]) ).

fof(f1745,plain,
    ( sk_c8 = multiply(inverse(sk_c3),sk_c9)
    | spl0_9 ),
    inference(superposition,[],[f76,f1731]) ).

fof(f1744,plain,
    ( sk_c8 = multiply(sk_c9,sk_c9)
    | spl0_9
    | ~ spl0_12 ),
    inference(superposition,[],[f329,f1731]) ).

fof(f1731,plain,
    ( sk_c9 = multiply(sk_c3,sk_c8)
    | spl0_9 ),
    inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f47,f28,f188,f196,f197,f199,f202,f204,f206,f208,f210,f212,f211,f213,f243,f35,f7,f21,f32,f34,f36,f37,f14,f38,f76,f517,f529,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f514,f1474,f1483,f513,f29,f40,f19,f5,f4,f1723,f18,f1724,f22,f1725,f8,f1726,f6,f1727,f20,f1728,f23,f1729,f9,f1730,f42]) ).

fof(f1733,plain,
    ( multiply(sk_c1,sk_c10) = sk_c9
    | spl0_9 ),
    inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f47,f28,f188,f196,f197,f199,f202,f204,f206,f208,f210,f212,f211,f213,f243,f35,f32,f34,f36,f37,f14,f38,f76,f517,f529,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f514,f1474,f1483,f513,f29,f40,f19,f5,f4,f1723,f18,f1724,f22,f1725,f8,f1726,f6,f1727,f20,f1728,f23,f1729,f9,f1730,f42,f1731,f21,f1732,f7]) ).

fof(f1732,plain,
    ( sk_c8 = multiply(sk_c2,sk_c9)
    | spl0_9 ),
    inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f47,f28,f188,f196,f197,f199,f202,f204,f206,f208,f210,f212,f211,f213,f243,f35,f7,f32,f34,f36,f37,f14,f38,f76,f517,f529,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f514,f1474,f1483,f513,f29,f40,f19,f5,f4,f1723,f18,f1724,f22,f1725,f8,f1726,f6,f1727,f20,f1728,f23,f1729,f9,f1730,f42,f1731,f21]) ).

fof(f1730,plain,
    ( multiply(sk_c1,sk_c10) = sk_c9
    | spl0_9 ),
    inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f47,f28,f188,f196,f197,f199,f202,f204,f206,f208,f210,f212,f211,f213,f243,f35,f7,f21,f32,f34,f36,f37,f42,f14,f38,f76,f517,f529,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f514,f1474,f1483,f513,f29,f40,f19,f5,f4,f1723,f18,f1724,f22,f1725,f8,f1726,f6,f1727,f20,f1728,f23,f1729,f9]) ).

fof(f1729,plain,
    ( sk_c8 = multiply(sk_c2,sk_c9)
    | spl0_9 ),
    inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f47,f28,f188,f196,f197,f199,f202,f204,f206,f208,f210,f212,f211,f213,f243,f35,f7,f21,f32,f34,f36,f37,f42,f14,f38,f76,f517,f529,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f9,f17,f16,f514,f1474,f1483,f513,f29,f40,f19,f5,f4,f1723,f18,f1724,f22,f1725,f8,f1726,f6,f1727,f20,f1728,f23]) ).

fof(f1728,plain,
    ( sk_c8 = multiply(sk_c2,sk_c9)
    | spl0_9 ),
    inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f47,f28,f188,f196,f197,f199,f202,f204,f206,f208,f210,f212,f211,f213,f243,f35,f7,f21,f32,f34,f36,f37,f42,f14,f38,f76,f517,f529,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f23,f9,f17,f16,f514,f1474,f1483,f513,f29,f40,f19,f5,f4,f1723,f18,f1724,f22,f1725,f8,f1726,f6,f1727,f20]) ).

fof(f1727,plain,
    ( multiply(sk_c1,sk_c10) = sk_c9
    | spl0_9 ),
    inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f47,f28,f188,f196,f197,f199,f202,f204,f206,f208,f210,f212,f211,f213,f243,f35,f7,f21,f32,f34,f36,f37,f42,f14,f38,f76,f517,f529,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f23,f20,f9,f17,f16,f514,f1474,f1483,f513,f29,f40,f19,f5,f4,f1723,f18,f1724,f22,f1725,f8,f1726,f6]) ).

fof(f1726,plain,
    ( multiply(sk_c1,sk_c10) = sk_c9
    | spl0_9 ),
    inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f47,f28,f188,f196,f197,f199,f202,f204,f206,f208,f210,f212,f211,f213,f243,f35,f7,f21,f32,f34,f36,f37,f42,f14,f38,f76,f517,f529,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f23,f20,f9,f6,f17,f16,f514,f1474,f1483,f513,f29,f40,f19,f5,f4,f1723,f18,f1724,f22,f1725,f8]) ).

fof(f1725,plain,
    ( sk_c8 = multiply(sk_c2,sk_c9)
    | spl0_9 ),
    inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f47,f28,f188,f196,f197,f199,f202,f204,f206,f208,f210,f212,f211,f213,f243,f35,f7,f21,f32,f34,f36,f37,f42,f14,f38,f76,f517,f529,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f23,f20,f9,f6,f17,f16,f514,f1474,f1483,f513,f8,f29,f40,f19,f5,f4,f1723,f18,f1724,f22]) ).

fof(f1724,plain,
    ( sk_c8 = multiply(sk_c2,sk_c9)
    | spl0_9 ),
    inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f47,f28,f188,f196,f197,f199,f202,f204,f206,f208,f210,f212,f211,f213,f243,f35,f7,f21,f32,f34,f36,f37,f42,f14,f38,f76,f517,f529,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f23,f20,f9,f6,f17,f16,f514,f1474,f1483,f513,f8,f22,f29,f40,f19,f5,f4,f1723,f18]) ).

fof(f1723,plain,
    ( multiply(sk_c1,sk_c10) = sk_c9
    | spl0_9 ),
    inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f47,f28,f188,f196,f197,f199,f202,f204,f206,f208,f210,f212,f211,f213,f243,f35,f7,f21,f32,f34,f36,f37,f42,f14,f38,f76,f517,f529,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f23,f20,f9,f6,f17,f16,f514,f1474,f1483,f513,f8,f22,f29,f18,f40,f19,f5,f4]) ).

fof(f1465,plain,
    ( sk_c3 = multiply(inverse(sk_c9),identity)
    | ~ spl0_12 ),
    inference(superposition,[],[f514,f321]) ).

fof(f525,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(sk_c9),X0)
    | ~ spl0_12 ),
    inference(superposition,[],[f76,f329]) ).

fof(f545,plain,
    ( sk_c3 = multiply(inverse(sk_c9),identity)
    | ~ spl0_12 ),
    inference(superposition,[],[f76,f327]) ).

fof(f1171,plain,
    ( identity = inverse(identity)
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1167,f342]) ).

fof(f1167,plain,
    ( sk_c9 = inverse(identity)
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(superposition,[],[f321,f696]) ).

fof(f1537,plain,
    ( ! [X0] : multiply(inverse(identity),X0) = X0
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1536,f1]) ).

fof(f1536,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(identity),X0)
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1266,f696]) ).

fof(f1266,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(identity),X0)
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f525,f342]) ).

fof(f1163,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c3,X0)) = X0
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(superposition,[],[f329,f342]) ).

fof(f1162,plain,
    ( identity = multiply(identity,sk_c3)
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(superposition,[],[f327,f342]) ).

fof(f710,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(identity),X0)
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f525,f342]) ).

fof(f592,plain,
    ( identity = multiply(identity,sk_c3)
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(superposition,[],[f327,f342]) ).

fof(f593,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c3,X0)) = X0
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(superposition,[],[f329,f342]) ).

fof(f329,plain,
    ( ! [X0] : multiply(sk_c9,multiply(sk_c3,X0)) = X0
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f328,f1]) ).

fof(f328,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c3,X0))
    | ~ spl0_12 ),
    inference(superposition,[],[f3,f327]) ).

fof(f327,plain,
    ( identity = multiply(sk_c9,sk_c3)
    | ~ spl0_12 ),
    inference(superposition,[],[f2,f321]) ).

fof(f321,plain,
    ( sk_c9 = inverse(sk_c3)
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f319]) ).

fof(f319,plain,
    ( spl0_12
  <=> sk_c9 = inverse(sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f243,plain,
    ( sk_c10 = inverse(sk_c1)
    | spl0_9 ),
    inference(subsumption_resolution,[],[f14,f188]) ).

fof(f213,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c9,multiply(sk_c9,X0))
    | spl0_9 ),
    inference(superposition,[],[f3,f211]) ).

fof(f211,plain,
    ( sk_c8 = multiply(sk_c9,sk_c9)
    | spl0_9 ),
    inference(superposition,[],[f199,f210]) ).

fof(f212,plain,
    ( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c3,multiply(sk_c8,X0))
    | spl0_9 ),
    inference(superposition,[],[f3,f210]) ).

fof(f210,plain,
    ( sk_c9 = multiply(sk_c3,sk_c8)
    | spl0_9 ),
    inference(subsumption_resolution,[],[f42,f188]) ).

fof(f209,plain,
    ( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c9,multiply(sk_c8,X0))
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f3,f207]) ).

fof(f207,plain,
    ( sk_c9 = multiply(sk_c9,sk_c8)
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f193,f206]) ).

fof(f208,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c2,multiply(sk_c9,X0))
    | spl0_9 ),
    inference(superposition,[],[f3,f206]) ).

fof(f206,plain,
    ( sk_c8 = multiply(sk_c2,sk_c9)
    | spl0_9 ),
    inference(subsumption_resolution,[],[f21,f188]) ).

fof(f204,plain,
    ( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c1,multiply(sk_c10,X0))
    | spl0_9 ),
    inference(superposition,[],[f3,f202]) ).

fof(f202,plain,
    ( multiply(sk_c1,sk_c10) = sk_c9
    | spl0_9 ),
    inference(subsumption_resolution,[],[f7,f188]) ).

fof(f199,plain,
    ( ! [X0] : multiply(sk_c9,multiply(sk_c3,X0)) = X0
    | spl0_9 ),
    inference(forward_demodulation,[],[f198,f1]) ).

fof(f198,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c3,X0))
    | spl0_9 ),
    inference(superposition,[],[f3,f197]) ).

fof(f197,plain,
    ( identity = multiply(sk_c9,sk_c3)
    | spl0_9 ),
    inference(superposition,[],[f2,f196]) ).

fof(f196,plain,
    ( sk_c9 = inverse(sk_c3)
    | spl0_9 ),
    inference(subsumption_resolution,[],[f35,f188]) ).

fof(f2315,plain,
    ( ~ spl0_3
    | ~ spl0_8
    | spl0_9
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f2314]) ).

fof(f2314,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_8
    | spl0_9
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f47,f28,f191,f193,f196,f197,f199,f202,f204,f206,f208,f207,f209,f210,f212,f211,f213,f243,f35,f32,f34,f36,f37,f14,f38,f321,f327,f329,f96,f362,f363,f364,f76,f517,f529,f593,f592,f710,f738,f832,f829,f826,f728,f788,f857,f785,f858,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f910,f911,f964,f967,f968,f10,f24,f45,f31,f1072,f25,f27,f30,f1082,f1083,f1129,f1131,f759,f970,f11,f13,f15,f44,f43,f41,f39,f17,f16,f1162,f1163,f1164,f1178,f514,f1483,f1531,f1537,f1171,f1547,f545,f525,f1465,f29,f185,f1656,f1657,f1658,f1694,f1696,f40,f19,f5,f4,f1723,f18,f1724,f22,f1725,f8,f1726,f6,f1727,f20,f1728,f23,f1729,f9,f1730,f42,f21,f1732,f7,f1733,f1731,f1744,f1747,f1746,f342,f1754,f1755,f1756,f1763,f1774,f1474,f1881,f1891,f2011,f2075,f2003,f2076,f1999,f2077,f1995,f2078,f906,f1767,f513,f1973,f1880,f1883,f2082,f2016,f2022,f2034,f2091,f2093,f2099,f2101,f2103,f2107,f2109,f2111,f963,f1183,f1793,f1787,f2043,f2175,f2028,f2177,f2178,f2219,f2267,f2269,f2270,f188,f2155,f2271,f2160,f2272,f2273,f2275,f2276,f2278,f2279,f2281,f2282,f2283,f2284,f2285,f2286,f2288,f2289,f2291,f2292,f2294,f2295,f2176,f696,f2181,f2304,f2305,f2308,f2313]) ).

fof(f2310,plain,
    ( ~ spl0_3
    | ~ spl0_8
    | spl0_9
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f2309]) ).

fof(f2309,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_8
    | spl0_9
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f47,f28,f191,f193,f196,f197,f199,f202,f204,f206,f208,f207,f209,f210,f212,f211,f213,f243,f35,f32,f34,f36,f37,f14,f38,f321,f327,f329,f96,f362,f363,f364,f76,f517,f529,f593,f592,f710,f738,f832,f829,f826,f728,f788,f857,f785,f858,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f910,f911,f964,f967,f968,f10,f24,f45,f31,f1072,f25,f27,f30,f1082,f1083,f1129,f1131,f759,f970,f11,f13,f15,f44,f43,f41,f39,f17,f16,f1162,f1163,f1164,f1178,f514,f1483,f1531,f1537,f1171,f1547,f545,f525,f1465,f29,f185,f1656,f1657,f1658,f1694,f1696,f40,f19,f5,f4,f1723,f18,f1724,f22,f1725,f8,f1726,f6,f1727,f20,f1728,f23,f1729,f9,f1730,f42,f21,f1732,f7,f1733,f1731,f1744,f1747,f1746,f342,f1754,f1755,f1756,f1763,f1774,f1474,f1881,f1891,f2011,f2075,f2003,f2076,f1999,f2077,f1995,f2078,f906,f1767,f513,f1973,f1880,f1883,f2082,f2016,f2022,f2034,f2091,f2093,f2099,f2101,f2103,f2107,f2109,f2111,f963,f1183,f1793,f1787,f2043,f2175,f2028,f2177,f2178,f2219,f2267,f2269,f2270,f188,f2155,f2271,f2160,f2272,f2273,f2275,f2276,f2278,f2279,f2281,f2282,f2283,f2284,f2285,f2286,f2288,f2289,f2291,f2292,f2294,f2295,f2176,f696,f2181,f2304,f2305,f2308]) ).

fof(f2301,plain,
    ( spl0_9
    | spl0_12
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f2300]) ).

fof(f2300,plain,
    ( $false
    | spl0_9
    | spl0_12
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f47,f28,f196,f197,f199,f202,f204,f206,f208,f210,f212,f211,f213,f243,f35,f32,f34,f36,f37,f14,f38,f76,f517,f529,f738,f832,f829,f826,f728,f788,f785,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f514,f1483,f1531,f1547,f29,f40,f19,f5,f4,f1723,f18,f1724,f22,f1725,f8,f1726,f6,f1727,f20,f1728,f23,f1729,f9,f1730,f42,f21,f1732,f7,f1733,f1731,f1746,f342,f1474,f1881,f1891,f2011,f2003,f1999,f1995,f513,f1880,f1883,f2091,f2093,f2099,f2101,f2103,f2109,f2111,f188,f2273,f2275,f2276,f2278,f2279,f2281,f2282,f2283,f2284,f2285,f2286,f2288,f2289,f2291,f2292,f2294,f2295,f2299]) ).

fof(f2299,plain,
    ( identity != inverse(sk_c3)
    | spl0_12
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f320,f342]) ).

fof(f320,plain,
    ( sk_c9 != inverse(sk_c3)
    | spl0_12 ),
    inference(avatar_component_clause,[],[f319]) ).

fof(f2262,plain,
    ( ~ spl0_6
    | ~ spl0_8
    | spl0_9
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f2261]) ).

fof(f2261,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f2260,f1183]) ).

fof(f2260,plain,
    ( identity != inverse(identity)
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f2259,f1183]) ).

fof(f2259,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f2258,f1183]) ).

fof(f2258,plain,
    ( identity != inverse(inverse(inverse(identity)))
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f2257,f1183]) ).

fof(f2257,plain,
    ( identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_6
    | spl0_9
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f2233,f1]) ).

fof(f2233,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_6
    | spl0_9
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(superposition,[],[f2221,f1474]) ).

fof(f2221,plain,
    ( ! [X9] :
        ( identity != multiply(identity,multiply(X9,identity))
        | identity != inverse(X9) )
    | ~ spl0_6
    | spl0_9
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f2220,f2176]) ).

fof(f2220,plain,
    ( ! [X9] :
        ( identity != multiply(identity,multiply(X9,identity))
        | sk_c8 != inverse(X9) )
    | ~ spl0_6
    | spl0_9
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f837,f2176]) ).

fof(f2256,plain,
    ( ~ spl0_6
    | ~ spl0_8
    | spl0_9
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f2255]) ).

fof(f2255,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f2254,f1183]) ).

fof(f2254,plain,
    ( identity != inverse(identity)
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f2253,f1183]) ).

fof(f2253,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_6
    | spl0_9
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f2232,f1]) ).

fof(f2232,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(inverse(identity))
    | ~ spl0_6
    | spl0_9
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(superposition,[],[f2221,f2]) ).

fof(f2252,plain,
    ( ~ spl0_6
    | ~ spl0_8
    | spl0_9
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f2251]) ).

fof(f2251,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f2250,f1183]) ).

fof(f2250,plain,
    ( identity != inverse(identity)
    | ~ spl0_6
    | spl0_9
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f2231,f1]) ).

fof(f2231,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(identity)
    | ~ spl0_6
    | spl0_9
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(superposition,[],[f2221,f1]) ).

fof(f2174,plain,
    ( ~ spl0_5
    | ~ spl0_8
    | spl0_9
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f2173]) ).

fof(f2173,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f47,f28,f191,f193,f196,f197,f199,f202,f204,f206,f208,f207,f209,f210,f212,f211,f213,f243,f35,f32,f34,f36,f37,f14,f38,f102,f371,f373,f76,f517,f529,f738,f832,f829,f826,f728,f788,f857,f785,f858,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f910,f911,f964,f967,f968,f10,f24,f45,f31,f1072,f25,f27,f30,f1082,f1083,f1129,f1131,f759,f970,f11,f13,f15,f44,f43,f41,f39,f17,f16,f1164,f1178,f514,f1483,f1531,f1547,f29,f185,f1656,f1657,f1658,f1694,f1696,f40,f19,f5,f4,f1723,f18,f1724,f22,f1725,f8,f1726,f6,f1727,f20,f1728,f23,f1729,f9,f1730,f42,f21,f1732,f7,f1733,f1731,f1746,f342,f1756,f1774,f1474,f1881,f1891,f2011,f2075,f2003,f2076,f1999,f2077,f1995,f2078,f513,f1880,f1883,f2082,f2091,f2093,f2099,f2101,f2103,f2109,f2111,f2115,f2116,f2117,f2119,f2118,f963,f1183,f1951,f2156,f2161,f188]) ).

fof(f2161,plain,
    ( identity = multiply(sk_c5,sk_c8)
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f2160,f2118]) ).

fof(f2156,plain,
    ( sk_c8 = inverse(sk_c5)
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f2155,f2118]) ).

fof(f1951,plain,
    ( sk_c8 != inverse(inverse(sk_c8))
    | ~ spl0_5
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f372,f342]) ).

fof(f372,plain,
    ( identity != sk_c9
    | sk_c8 != inverse(inverse(sk_c8))
    | ~ spl0_5 ),
    inference(superposition,[],[f102,f2]) ).

fof(f2118,plain,
    ( identity != sk_c8
    | ~ spl0_5
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f47,f28,f35,f32,f34,f36,f37,f14,f38,f102,f371,f373,f76,f517,f529,f738,f832,f829,f826,f728,f788,f785,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f514,f1483,f1531,f1547,f29,f40,f19,f5,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f342,f1474,f1881,f1891,f2011,f2003,f1999,f1995,f513,f1880,f1883,f2091,f2093,f2099,f2101,f2103,f2109,f2111,f1951,f2115,f2116,f2117]) ).

fof(f2119,plain,
    ( ! [X7] :
        ( identity != multiply(X7,sk_c8)
        | sk_c8 != inverse(X7) )
    | ~ spl0_5
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f102,f342]) ).

fof(f2117,plain,
    ( identity != sk_c8
    | identity != inverse(identity)
    | ~ spl0_5
    | ~ spl0_15 ),
    inference(inner_rewriting,[],[f2116]) ).

fof(f2116,plain,
    ( identity != sk_c8
    | sk_c8 != inverse(identity)
    | ~ spl0_5
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f371,f342]) ).

fof(f2115,plain,
    ( sk_c8 != inverse(inverse(sk_c8))
    | ~ spl0_5
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f372,f342]) ).

fof(f373,plain,
    ( ! [X0,X1] :
        ( sk_c9 != multiply(X0,multiply(X1,sk_c8))
        | sk_c8 != inverse(multiply(X0,X1)) )
    | ~ spl0_5 ),
    inference(superposition,[],[f102,f3]) ).

fof(f371,plain,
    ( sk_c9 != sk_c8
    | sk_c8 != inverse(identity)
    | ~ spl0_5 ),
    inference(superposition,[],[f102,f1]) ).

fof(f102,plain,
    ( ! [X7] :
        ( sk_c9 != multiply(X7,sk_c8)
        | sk_c8 != inverse(X7) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f101]) ).

fof(f101,plain,
    ( spl0_5
  <=> ! [X7] :
        ( sk_c8 != inverse(X7)
        | sk_c9 != multiply(X7,sk_c8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f2172,plain,
    ( ~ spl0_5
    | spl0_9
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f2171]) ).

fof(f2171,plain,
    ( $false
    | ~ spl0_5
    | spl0_9
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f1793,f2118]) ).

fof(f2170,plain,
    ( ~ spl0_5
    | spl0_9
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f2169]) ).

fof(f2169,plain,
    ( $false
    | ~ spl0_5
    | spl0_9
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f1787,f2118]) ).

fof(f2168,plain,
    ( ~ spl0_5
    | ~ spl0_8
    | spl0_9
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f2167]) ).

fof(f2167,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f2043,f26,f33,f1,f2,f12,f3,f47,f28,f191,f193,f196,f197,f199,f202,f204,f206,f208,f207,f209,f210,f212,f211,f213,f243,f35,f32,f34,f36,f37,f14,f38,f102,f371,f373,f76,f517,f529,f738,f832,f829,f826,f728,f788,f857,f785,f858,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f910,f911,f964,f967,f968,f10,f24,f45,f31,f1072,f25,f27,f30,f1082,f1083,f1129,f1131,f759,f970,f11,f13,f15,f44,f43,f41,f39,f17,f16,f1164,f1178,f514,f1483,f1531,f1547,f29,f185,f1656,f1657,f1658,f1694,f1696,f40,f19,f5,f4,f1723,f18,f1724,f22,f1725,f8,f1726,f6,f1727,f20,f1728,f23,f1729,f9,f1730,f42,f21,f1732,f7,f1733,f188,f1731,f1746,f342,f1756,f1774,f1474,f1881,f1891,f2011,f2075,f2003,f2076,f1999,f2077,f1995,f2078,f513,f1880,f1883,f2082,f2091,f2093,f2099,f2101,f2103,f2109,f2111,f2115,f2116,f2117,f2119,f2118,f963,f1183,f1951,f2156,f2161]) ).

fof(f2166,plain,
    ( ~ spl0_5
    | ~ spl0_8
    | spl0_9
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f2165]) ).

fof(f2165,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f2164,f26,f33,f1,f2,f12,f3,f47,f28,f191,f193,f196,f197,f199,f202,f204,f206,f208,f207,f209,f210,f212,f211,f213,f243,f35,f32,f34,f36,f37,f14,f38,f102,f371,f373,f76,f517,f529,f738,f832,f829,f826,f728,f788,f857,f785,f858,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f910,f911,f964,f967,f968,f10,f24,f45,f31,f1072,f25,f27,f30,f1082,f1083,f1129,f1131,f759,f970,f11,f13,f15,f44,f43,f41,f39,f17,f16,f1164,f1178,f514,f1483,f1531,f1547,f29,f185,f1656,f1657,f1658,f1694,f1696,f40,f19,f5,f4,f1723,f18,f1724,f22,f1725,f8,f1726,f6,f1727,f20,f1728,f23,f1729,f9,f1730,f42,f21,f1732,f7,f1733,f188,f1731,f1746,f342,f1756,f1774,f1474,f1881,f1891,f2011,f2075,f2003,f2076,f1999,f2077,f1995,f2078,f513,f1880,f1883,f2082,f2091,f2093,f2099,f2101,f2103,f2109,f2111,f2115,f2116,f2117,f2119,f2118,f963,f1183,f1951,f2156,f2161]) ).

fof(f2164,plain,
    ( identity = multiply(sk_c5,sk_c8)
    | ~ spl0_5
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f2028,f2118]) ).

fof(f2163,plain,
    ( ~ spl0_5
    | ~ spl0_8
    | spl0_9
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f2162]) ).

fof(f2162,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f47,f28,f191,f193,f196,f197,f199,f202,f204,f206,f208,f207,f209,f210,f212,f211,f213,f243,f35,f32,f34,f36,f37,f14,f38,f102,f371,f373,f76,f517,f529,f738,f832,f829,f826,f728,f788,f857,f785,f858,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f910,f911,f964,f967,f968,f10,f24,f45,f31,f1072,f25,f27,f30,f1082,f1083,f1129,f1131,f759,f970,f11,f13,f15,f44,f43,f41,f39,f17,f16,f1164,f1178,f514,f1483,f1531,f1547,f29,f185,f1656,f1657,f1658,f1694,f1696,f40,f19,f5,f4,f1723,f18,f1724,f22,f1725,f8,f1726,f6,f1727,f20,f1728,f23,f1729,f9,f1730,f42,f21,f1732,f7,f1733,f188,f1731,f1746,f342,f1756,f1774,f1474,f1881,f1891,f2011,f2075,f2003,f2076,f1999,f2077,f1995,f2078,f513,f1880,f1883,f2082,f2091,f2093,f2099,f2101,f2103,f2109,f2111,f2115,f2116,f2117,f2119,f2118,f963,f1183,f1951,f2156,f2161]) ).

fof(f2158,plain,
    ( ~ spl0_5
    | ~ spl0_8
    | spl0_9
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f2157]) ).

fof(f2157,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f47,f28,f191,f193,f196,f197,f199,f202,f204,f206,f208,f207,f209,f210,f212,f211,f213,f243,f35,f32,f34,f36,f37,f14,f38,f102,f371,f373,f76,f517,f529,f738,f832,f829,f826,f728,f788,f857,f785,f858,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f910,f911,f964,f967,f968,f10,f24,f45,f31,f1072,f25,f27,f30,f1082,f1083,f1129,f1131,f759,f970,f11,f13,f15,f44,f43,f41,f39,f17,f16,f1164,f1178,f514,f1483,f1531,f1547,f29,f185,f1656,f1657,f1658,f1694,f1696,f40,f19,f5,f4,f1723,f18,f1724,f22,f1725,f8,f1726,f6,f1727,f20,f1728,f23,f1729,f9,f1730,f42,f21,f1732,f7,f1733,f188,f1731,f1746,f342,f1756,f1774,f1474,f1881,f1891,f2011,f2075,f2003,f2076,f1999,f2077,f1995,f2078,f513,f1880,f1883,f2082,f2091,f2093,f2099,f2101,f2103,f2109,f2111,f2115,f2116,f2117,f2119,f2118,f963,f1183,f1951,f2156]) ).

fof(f2153,plain,
    ( ~ spl0_5
    | ~ spl0_9
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f2152]) ).

fof(f2152,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f2151,f189]) ).

fof(f2151,plain,
    ( sk_c8 != inverse(sk_c5)
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1951,f1381]) ).

fof(f2086,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f2085]) ).

fof(f2085,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f2084,f51]) ).

fof(f2084,plain,
    ( sk_c10 != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f2083,f1467]) ).

fof(f2083,plain,
    ( sk_c10 != inverse(inverse(sk_c10))
    | ~ spl0_7
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f226,f342]) ).

fof(f226,plain,
    ( identity != sk_c9
    | sk_c10 != inverse(inverse(sk_c10))
    | ~ spl0_7 ),
    inference(superposition,[],[f108,f2]) ).

fof(f108,plain,
    ( ! [X6] :
        ( sk_c9 != multiply(X6,sk_c10)
        | sk_c10 != inverse(X6) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f107]) ).

fof(f107,plain,
    ( spl0_7
  <=> ! [X6] :
        ( sk_c10 != inverse(X6)
        | sk_c9 != multiply(X6,sk_c10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f2081,plain,
    ( ~ spl0_1
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f2080]) ).

fof(f2080,plain,
    ( $false
    | ~ spl0_1
    | spl0_14 ),
    inference(subsumption_resolution,[],[f2079,f51]) ).

fof(f2079,plain,
    ( sk_c10 != inverse(sk_c1)
    | ~ spl0_1
    | spl0_14 ),
    inference(forward_demodulation,[],[f339,f1467]) ).

fof(f339,plain,
    ( sk_c10 != inverse(inverse(sk_c10))
    | spl0_14 ),
    inference(avatar_component_clause,[],[f337]) ).

fof(f337,plain,
    ( spl0_14
  <=> sk_c10 = inverse(inverse(sk_c10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f2069,plain,
    ( spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f2068]) ).

fof(f2068,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f2067,f26,f33,f1,f2,f12,f3,f47,f28,f35,f32,f34,f36,f37,f14,f38,f76,f517,f529,f738,f832,f829,f826,f728,f788,f785,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f514,f1483,f1531,f1532,f1547,f1548,f1553,f184,f1575,f29,f40,f19,f5,f54,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f1721,f1737,f1722,f1742,f342,f1474,f1881,f1891,f1883,f1880,f1862,f513,f1757,f1992,f1995,f1999,f2003,f2007,f2011,f741,f2062]) ).

fof(f2007,plain,
    ( identity = inverse(sk_c2)
    | spl0_2
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f2006,f342]) ).

fof(f2006,plain,
    ( sk_c9 = inverse(sk_c2)
    | spl0_2 ),
    inference(subsumption_resolution,[],[f26,f54]) ).

fof(f1992,plain,
    ( identity = multiply(inverse(sk_c2),sk_c8)
    | spl0_2
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1741,f342]) ).

fof(f1741,plain,
    ( sk_c9 = multiply(inverse(sk_c2),sk_c8)
    | spl0_2 ),
    inference(superposition,[],[f76,f1722]) ).

fof(f1757,plain,
    ( sk_c8 = multiply(sk_c2,identity)
    | spl0_2
    | ~ spl0_15 ),
    inference(superposition,[],[f1722,f342]) ).

fof(f1862,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c2,X0)
    | spl0_2
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1861,f1]) ).

fof(f1861,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c2,multiply(identity,X0))
    | spl0_2
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1742,f342]) ).

fof(f1742,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c2,multiply(sk_c9,X0))
    | spl0_2 ),
    inference(superposition,[],[f3,f1722]) ).

fof(f1722,plain,
    ( sk_c8 = multiply(sk_c2,sk_c9)
    | spl0_2 ),
    inference(subsumption_resolution,[],[f19,f54]) ).

fof(f1737,plain,
    ( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c1,multiply(sk_c10,X0))
    | spl0_2 ),
    inference(superposition,[],[f3,f1721]) ).

fof(f1721,plain,
    ( multiply(sk_c1,sk_c10) = sk_c9
    | spl0_2 ),
    inference(subsumption_resolution,[],[f5,f54]) ).

fof(f54,plain,
    ( sk_c10 != inverse(sk_c4)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f53]) ).

fof(f53,plain,
    ( spl0_2
  <=> sk_c10 = inverse(sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f2066,plain,
    ( spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f2065]) ).

fof(f2065,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f837,f26,f33,f1,f2,f12,f3,f47,f28,f35,f32,f34,f36,f37,f14,f38,f76,f517,f529,f738,f832,f829,f826,f728,f788,f785,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f514,f1483,f1531,f1532,f1547,f1548,f1553,f184,f1575,f29,f40,f19,f5,f54,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f1721,f1737,f1722,f1742,f342,f1474,f1881,f1891,f1883,f1880,f1862,f513,f1757,f1992,f1995,f1999,f2003,f2007,f2011,f741,f2062]) ).

fof(f2064,plain,
    ( spl0_2
    | spl0_8
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f2063]) ).

fof(f2063,plain,
    ( $false
    | spl0_2
    | spl0_8
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f47,f28,f35,f32,f34,f36,f37,f14,f38,f76,f517,f529,f738,f832,f829,f826,f728,f788,f785,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f514,f1483,f1531,f1532,f1547,f1548,f1553,f184,f1575,f29,f40,f19,f5,f54,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f1721,f1737,f1722,f1742,f342,f1474,f1881,f1891,f1883,f1880,f1862,f513,f1757,f1992,f1995,f1999,f2003,f2007,f2011,f741,f2062]) ).

fof(f2061,plain,
    ( spl0_2
    | spl0_8
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f2060]) ).

fof(f2060,plain,
    ( $false
    | spl0_2
    | spl0_8
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f47,f28,f35,f32,f34,f36,f37,f14,f38,f76,f517,f529,f738,f832,f829,f826,f728,f788,f785,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f514,f1483,f1531,f1532,f1547,f1548,f1553,f184,f1575,f29,f40,f19,f5,f54,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f1721,f1737,f1722,f1742,f342,f1474,f1881,f1891,f1883,f1880,f1862,f513,f1757,f1992,f1995,f1999,f2003,f2007,f2011,f741]) ).

fof(f2059,plain,
    ( spl0_2
    | spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f2058]) ).

fof(f2058,plain,
    ( $false
    | spl0_2
    | spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f1552,f26,f33,f1,f2,f12,f3,f47,f28,f35,f32,f34,f36,f37,f14,f38,f76,f517,f529,f738,f832,f829,f826,f728,f788,f785,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f514,f1483,f1531,f1532,f1547,f1548,f1553,f741,f184,f1575,f29,f40,f19,f5,f54,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f1721,f1737,f1722,f1742,f342,f1474,f1881,f1891,f1883,f1880,f1862,f513,f1757,f1992,f1995,f1999,f2003,f2007,f2011]) ).

fof(f2057,plain,
    ( spl0_2
    | spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f2056]) ).

fof(f2056,plain,
    ( $false
    | spl0_2
    | spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f1561,f26,f33,f1,f2,f12,f3,f47,f28,f35,f32,f34,f36,f37,f14,f38,f76,f517,f529,f738,f832,f829,f826,f728,f788,f785,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f514,f1483,f1531,f1532,f1547,f1548,f1553,f741,f184,f1575,f29,f40,f19,f5,f54,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f1721,f1737,f1722,f1742,f342,f1474,f1881,f1891,f1883,f1880,f1862,f513,f1757,f1992,f1995,f1999,f2003,f2007,f2011]) ).

fof(f2055,plain,
    ( spl0_2
    | spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f2054]) ).

fof(f2054,plain,
    ( $false
    | spl0_2
    | spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f1562,f26,f33,f1,f2,f12,f3,f47,f28,f35,f32,f34,f36,f37,f14,f38,f76,f517,f529,f738,f832,f829,f826,f728,f788,f785,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f514,f1483,f1531,f1532,f1547,f1548,f1553,f741,f184,f1575,f29,f40,f19,f5,f54,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f1721,f1737,f1722,f1742,f342,f1474,f1881,f1891,f1883,f1880,f1862,f513,f1757,f1992,f1995,f1999,f2003,f2007,f2011]) ).

fof(f2053,plain,
    ( spl0_2
    | spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f2052]) ).

fof(f2052,plain,
    ( $false
    | spl0_2
    | spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f1574,f26,f33,f1,f2,f12,f3,f47,f28,f35,f32,f34,f36,f37,f14,f38,f76,f517,f529,f738,f832,f829,f826,f728,f788,f785,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f514,f1483,f1531,f1532,f1547,f1548,f1553,f741,f184,f1575,f29,f40,f19,f5,f54,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f1721,f1737,f1722,f1742,f342,f1474,f1881,f1891,f1883,f1880,f1862,f513,f1757,f1992,f1995,f1999,f2003,f2007,f2011]) ).

fof(f2051,plain,
    ( spl0_2
    | spl0_8
    | ~ spl0_9
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f2050]) ).

fof(f2050,plain,
    ( $false
    | spl0_2
    | spl0_8
    | ~ spl0_9
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f189,f26,f33,f1,f2,f12,f3,f47,f28,f35,f32,f34,f36,f37,f14,f38,f76,f517,f529,f738,f832,f829,f826,f728,f788,f785,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f514,f1483,f1531,f1532,f1547,f1548,f1553,f741,f184,f1575,f29,f40,f19,f5,f54,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f1721,f1737,f1722,f1742,f342,f1474,f1881,f1891,f1883,f1880,f1862,f513,f1757,f1992,f1995,f1999,f2003,f2007,f2011]) ).

fof(f2049,plain,
    ( spl0_2
    | spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f2048]) ).

fof(f2048,plain,
    ( $false
    | spl0_2
    | spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f1217,f26,f33,f1,f2,f12,f3,f47,f28,f35,f32,f34,f36,f37,f14,f38,f76,f517,f529,f738,f832,f829,f826,f728,f788,f785,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f514,f1483,f1531,f1532,f1547,f1548,f1553,f741,f184,f1575,f29,f40,f19,f5,f54,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f1721,f1737,f1722,f1742,f342,f1474,f1881,f1891,f1883,f1880,f1862,f513,f1757,f1992,f1995,f1999,f2003,f2007,f2011]) ).

fof(f2047,plain,
    ( spl0_2
    | spl0_8
    | ~ spl0_9
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f2046]) ).

fof(f2046,plain,
    ( $false
    | spl0_2
    | spl0_8
    | ~ spl0_9
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f1381,f26,f33,f1,f2,f12,f3,f47,f28,f35,f32,f34,f36,f37,f14,f38,f76,f517,f529,f738,f832,f829,f826,f728,f788,f785,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f514,f1483,f1531,f1532,f1547,f1548,f1553,f741,f184,f1575,f29,f40,f19,f5,f54,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f1721,f1737,f1722,f1742,f342,f1474,f1881,f1891,f1883,f1880,f1862,f513,f1757,f1992,f1995,f1999,f2003,f2007,f2011]) ).

fof(f2045,plain,
    ( spl0_2
    | spl0_8
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f2044]) ).

fof(f2044,plain,
    ( $false
    | spl0_2
    | spl0_8
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f2043,f26,f33,f1,f2,f12,f3,f47,f28,f35,f32,f34,f36,f37,f14,f38,f76,f517,f529,f738,f832,f829,f826,f728,f788,f785,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f514,f1483,f1531,f1532,f1547,f1548,f1553,f741,f184,f1575,f29,f40,f19,f5,f54,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f1721,f1737,f1722,f1742,f342,f1474,f1881,f1891,f1883,f1880,f1862,f513,f1757,f1992,f1995,f1999,f2003,f2007,f2011]) ).

fof(f2041,plain,
    ( spl0_2
    | spl0_8
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f2040]) ).

fof(f2040,plain,
    ( $false
    | spl0_2
    | spl0_8
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f2039,f26,f33,f1,f2,f12,f3,f47,f28,f35,f32,f34,f36,f37,f14,f38,f76,f517,f529,f738,f832,f829,f826,f728,f788,f785,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f514,f1483,f1531,f1532,f1547,f1548,f1553,f741,f184,f1575,f29,f40,f19,f5,f54,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f1721,f1737,f1722,f1742,f342,f1474,f1881,f1891,f1883,f1880,f1862,f513,f1757,f1992,f1995,f1999,f2003,f2007,f2011]) ).

fof(f2039,plain,
    ( identity = multiply(identity,sk_c8)
    | spl0_2
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f2038,f342]) ).

fof(f2038,plain,
    ( sk_c9 = multiply(identity,sk_c8)
    | spl0_2
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f2037,f696]) ).

fof(f2037,plain,
    ( sk_c9 = multiply(sk_c3,sk_c8)
    | spl0_2 ),
    inference(subsumption_resolution,[],[f40,f54]) ).

fof(f2036,plain,
    ( spl0_2
    | spl0_8
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f2035]) ).

fof(f2035,plain,
    ( $false
    | spl0_2
    | spl0_8
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f2034,f26,f33,f1,f2,f12,f3,f47,f28,f35,f32,f34,f36,f37,f14,f38,f76,f517,f529,f738,f832,f829,f826,f728,f788,f785,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f514,f1483,f1531,f1532,f1547,f1548,f1553,f741,f184,f1575,f29,f40,f19,f5,f54,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f1721,f1737,f1722,f1742,f342,f1474,f1881,f1891,f1883,f1880,f1862,f513,f1757,f1992,f1995,f1999,f2003,f2007,f2011]) ).

fof(f2030,plain,
    ( spl0_2
    | spl0_8
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f2029]) ).

fof(f2029,plain,
    ( $false
    | spl0_2
    | spl0_8
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f2028,f26,f33,f1,f2,f12,f3,f47,f28,f35,f32,f34,f36,f37,f14,f38,f76,f517,f529,f738,f832,f829,f826,f728,f788,f785,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f514,f1483,f1531,f1532,f1547,f1548,f1553,f741,f184,f1575,f29,f40,f19,f5,f54,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f1721,f1737,f1722,f1742,f342,f1474,f1881,f1891,f1883,f1880,f1862,f513,f1757,f1992,f1995,f1999,f2003,f2007,f2011]) ).

fof(f2024,plain,
    ( spl0_2
    | spl0_8
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f2023]) ).

fof(f2023,plain,
    ( $false
    | spl0_2
    | spl0_8
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f2022,f26,f33,f1,f2,f12,f3,f47,f28,f35,f32,f34,f36,f37,f14,f38,f76,f517,f529,f738,f832,f829,f826,f728,f788,f785,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f514,f1483,f1531,f1532,f1547,f1548,f1553,f741,f184,f1575,f29,f40,f19,f5,f54,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f1721,f1737,f1722,f1742,f342,f1474,f1881,f1891,f1883,f1880,f1862,f513,f1757,f1992,f1995,f1999,f2003,f2007,f2011]) ).

fof(f2018,plain,
    ( spl0_2
    | spl0_8
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f2017]) ).

fof(f2017,plain,
    ( $false
    | spl0_2
    | spl0_8
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f2016,f26,f33,f1,f2,f12,f3,f47,f28,f35,f32,f34,f36,f37,f14,f38,f76,f517,f529,f738,f832,f829,f826,f728,f788,f785,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f514,f1483,f1531,f1532,f1547,f1548,f1553,f741,f184,f1575,f29,f40,f19,f5,f54,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f1721,f1737,f1722,f1742,f342,f1474,f1881,f1891,f1883,f1880,f1862,f513,f1757,f1992,f1995,f1999,f2003,f2007,f2011]) ).

fof(f2013,plain,
    ( spl0_2
    | spl0_8
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f2012]) ).

fof(f2012,plain,
    ( $false
    | spl0_2
    | spl0_8
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f47,f28,f35,f32,f34,f36,f37,f14,f38,f76,f517,f529,f738,f832,f829,f826,f728,f788,f785,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f514,f1483,f1531,f1532,f1547,f1548,f1553,f741,f184,f1575,f29,f40,f19,f5,f54,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f1721,f1737,f1722,f1742,f342,f1474,f1881,f1891,f1883,f1880,f1862,f513,f1757,f1992,f1995,f1999,f2003,f2007,f2011]) ).

fof(f2009,plain,
    ( spl0_2
    | spl0_8
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f2008]) ).

fof(f2008,plain,
    ( $false
    | spl0_2
    | spl0_8
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f47,f28,f35,f32,f34,f36,f37,f14,f38,f76,f517,f529,f738,f832,f829,f826,f728,f788,f785,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f514,f1483,f1531,f1532,f1547,f1548,f1553,f741,f184,f1575,f29,f40,f19,f5,f54,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f1721,f1737,f1722,f1742,f342,f1474,f1881,f1891,f1883,f1880,f1862,f513,f1757,f1992,f1995,f1999,f2003,f2007]) ).

fof(f2005,plain,
    ( spl0_2
    | spl0_8
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f2004]) ).

fof(f2004,plain,
    ( $false
    | spl0_2
    | spl0_8
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f2003,f26,f33,f1,f2,f12,f3,f47,f28,f35,f32,f34,f36,f37,f14,f38,f76,f517,f529,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f514,f1483,f184,f1575,f29,f40,f19,f5,f54,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f1721,f1737,f1722,f1742,f1474,f1881,f1891,f1883,f1880,f513]) ).

fof(f2001,plain,
    ( spl0_2
    | spl0_8
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f2000]) ).

fof(f2000,plain,
    ( $false
    | spl0_2
    | spl0_8
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f1999,f26,f33,f1,f2,f12,f3,f47,f28,f35,f32,f34,f36,f37,f14,f38,f76,f517,f529,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f514,f1483,f184,f1575,f29,f40,f19,f5,f54,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f1721,f1737,f1722,f1742,f1474,f1881,f1891,f1883,f1880,f513]) ).

fof(f1997,plain,
    ( spl0_2
    | spl0_8
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1996]) ).

fof(f1996,plain,
    ( $false
    | spl0_2
    | spl0_8
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f1995,f26,f33,f1,f2,f12,f3,f47,f28,f35,f32,f34,f36,f37,f14,f38,f76,f517,f529,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f514,f1483,f184,f1575,f29,f40,f19,f5,f54,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f1721,f1737,f1722,f1742,f1474,f1881,f1891,f1883,f1880,f513]) ).

fof(f1994,plain,
    ( spl0_2
    | spl0_8
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1993]) ).

fof(f1993,plain,
    ( $false
    | spl0_2
    | spl0_8
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f1992,f26,f33,f1,f2,f12,f3,f47,f28,f35,f32,f34,f36,f37,f14,f38,f76,f517,f529,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f514,f1483,f184,f1575,f29,f40,f19,f5,f54,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f1721,f1737,f1722,f1742,f1474,f1881,f1891,f1883,f1880,f513]) ).

fof(f1991,plain,
    ( spl0_2
    | spl0_8
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1990]) ).

fof(f1990,plain,
    ( $false
    | spl0_2
    | spl0_8
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f906,f26,f33,f1,f2,f12,f3,f47,f28,f35,f32,f34,f36,f37,f14,f38,f76,f517,f529,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f514,f1483,f184,f1575,f29,f40,f19,f5,f54,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f1721,f1737,f1722,f1742,f1474,f1881,f1891,f1883,f1880,f513]) ).

fof(f1989,plain,
    ( spl0_2
    | spl0_8
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1988]) ).

fof(f1988,plain,
    ( $false
    | spl0_2
    | spl0_8
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f1767,f26,f33,f1,f2,f12,f3,f47,f28,f35,f32,f34,f36,f37,f14,f38,f76,f517,f529,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f514,f1483,f184,f1575,f29,f40,f19,f5,f54,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f1721,f1737,f1722,f1742,f1474,f1881,f1891,f1883,f1880,f513]) ).

fof(f1987,plain,
    ( spl0_2
    | spl0_8
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1986]) ).

fof(f1986,plain,
    ( $false
    | spl0_2
    | spl0_8
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f1757,f26,f33,f1,f2,f12,f3,f47,f28,f35,f32,f34,f36,f37,f14,f38,f76,f517,f529,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f514,f1483,f184,f1575,f29,f40,f19,f5,f54,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f1721,f1737,f1722,f1742,f1474,f1881,f1891,f1883,f1880,f513]) ).

fof(f1985,plain,
    ( spl0_2
    | spl0_8
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1984]) ).

fof(f1984,plain,
    ( $false
    | spl0_2
    | spl0_8
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f1195,f26,f33,f1,f2,f12,f3,f47,f28,f35,f32,f34,f36,f37,f14,f38,f76,f517,f529,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f514,f1483,f184,f1575,f29,f40,f19,f5,f54,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f1721,f1737,f1722,f1742,f1474,f1881,f1891,f1883,f1880,f513]) ).

fof(f1983,plain,
    ( spl0_2
    | spl0_8
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1982]) ).

fof(f1982,plain,
    ( $false
    | spl0_2
    | spl0_8
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f1463,f26,f33,f1,f2,f12,f3,f47,f28,f35,f32,f34,f36,f37,f14,f38,f76,f517,f529,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f514,f1483,f184,f1575,f29,f40,f19,f5,f54,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f1721,f1737,f1722,f1742,f1474,f1881,f1891,f1883,f1880,f513]) ).

fof(f1981,plain,
    ( spl0_2
    | spl0_8
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1980]) ).

fof(f1980,plain,
    ( $false
    | spl0_2
    | spl0_8
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f1181,f26,f33,f1,f2,f12,f3,f47,f28,f35,f32,f34,f36,f37,f14,f38,f76,f517,f529,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f514,f1483,f184,f1575,f29,f40,f19,f5,f54,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f1721,f1737,f1722,f1742,f1474,f1881,f1891,f1883,f1880,f513]) ).

fof(f1979,plain,
    ( spl0_2
    | spl0_8
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1978]) ).

fof(f1978,plain,
    ( $false
    | spl0_2
    | spl0_8
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f1197,f26,f33,f1,f2,f12,f3,f47,f28,f35,f32,f34,f36,f37,f14,f38,f76,f517,f529,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f514,f1483,f184,f1575,f29,f40,f19,f5,f54,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f1721,f1737,f1722,f1742,f1474,f1881,f1891,f1883,f1880,f513]) ).

fof(f1977,plain,
    ( spl0_2
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1976]) ).

fof(f1976,plain,
    ( $false
    | spl0_2
    | spl0_8 ),
    inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f47,f28,f35,f32,f34,f36,f37,f14,f38,f76,f517,f529,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f514,f1483,f184,f1575,f29,f40,f19,f5,f54,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f1721,f1737,f1722,f1742,f1474,f1881,f1891,f1883,f1880,f513]) ).

fof(f1975,plain,
    ( spl0_2
    | spl0_8
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1974]) ).

fof(f1974,plain,
    ( $false
    | spl0_2
    | spl0_8
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f1973,f26,f33,f1,f2,f12,f3,f47,f28,f35,f32,f34,f36,f37,f14,f38,f76,f517,f529,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f514,f1483,f513,f184,f1575,f29,f40,f19,f5,f54,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f1721,f1737,f1722,f1742,f1474,f1881,f1891,f1883,f1880]) ).

fof(f1971,plain,
    ( spl0_2
    | spl0_8
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1970]) ).

fof(f1970,plain,
    ( $false
    | spl0_2
    | spl0_8
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f1862,f26,f33,f1,f2,f12,f3,f47,f28,f35,f32,f34,f36,f37,f14,f38,f76,f517,f529,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f514,f1483,f513,f184,f1575,f29,f40,f19,f5,f54,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f1721,f1737,f1722,f1742,f1474,f1881,f1891,f1883,f1880]) ).

fof(f1969,plain,
    ( spl0_2
    | spl0_8
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1968]) ).

fof(f1968,plain,
    ( $false
    | spl0_2
    | spl0_8
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f1877,f26,f33,f1,f2,f12,f3,f47,f28,f35,f32,f34,f36,f37,f14,f38,f76,f517,f529,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f514,f1483,f513,f184,f1575,f29,f40,f19,f5,f54,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f1721,f1737,f1722,f1742,f1474,f1881,f1891,f1883,f1880]) ).

fof(f1967,plain,
    ( spl0_2
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1966]) ).

fof(f1966,plain,
    ( $false
    | spl0_2
    | spl0_8 ),
    inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f47,f28,f35,f32,f34,f36,f37,f14,f38,f76,f517,f529,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f514,f1483,f513,f184,f1575,f29,f40,f19,f5,f54,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f1721,f1737,f1722,f1742,f1474,f1881,f1891,f1883,f1880]) ).

fof(f1965,plain,
    ( spl0_2
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1964]) ).

fof(f1964,plain,
    ( $false
    | spl0_2
    | spl0_8 ),
    inference(global_subsumption,[],[f26,f33,f1,f2,f12,f3,f47,f28,f35,f32,f34,f36,f37,f14,f38,f76,f517,f529,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f17,f16,f514,f1483,f513,f184,f1575,f29,f40,f19,f5,f54,f4,f18,f22,f8,f6,f20,f23,f9,f42,f21,f7,f1721,f1737,f1722,f1742,f1474,f1881,f1891,f1883]) ).

fof(f1960,plain,
    ( spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1959]) ).

fof(f1959,plain,
    ( $false
    | spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f1958,f1772]) ).

fof(f1772,plain,
    ( identity = sk_c8
    | spl0_2
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1771,f342]) ).

fof(f1771,plain,
    ( sk_c9 = sk_c8
    | spl0_2
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1768,f1]) ).

fof(f1768,plain,
    ( sk_c8 = multiply(identity,sk_c9)
    | spl0_2
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(superposition,[],[f1722,f963]) ).

fof(f1958,plain,
    ( identity != sk_c8
    | spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1957,f1183]) ).

fof(f1957,plain,
    ( sk_c8 != inverse(identity)
    | spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f1956,f342]) ).

fof(f1956,plain,
    ( identity != sk_c9
    | sk_c8 != inverse(identity)
    | spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f371,f1772]) ).

fof(f1955,plain,
    ( spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1954]) ).

fof(f1954,plain,
    ( $false
    | spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f1953,f1183]) ).

fof(f1953,plain,
    ( identity != inverse(identity)
    | spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1952,f1183]) ).

fof(f1952,plain,
    ( identity != inverse(inverse(identity))
    | spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1951,f1772]) ).

fof(f1947,plain,
    ( spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1946]) ).

fof(f1946,plain,
    ( $false
    | spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f1945,f342]) ).

fof(f1945,plain,
    ( identity != sk_c9
    | spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1944,f1183]) ).

fof(f1944,plain,
    ( sk_c9 != inverse(identity)
    | spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f1943,f342]) ).

fof(f1943,plain,
    ( identity != sk_c9
    | sk_c9 != inverse(identity)
    | spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f362,f1772]) ).

fof(f1942,plain,
    ( spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1941]) ).

fof(f1941,plain,
    ( $false
    | spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f1940,f1183]) ).

fof(f1940,plain,
    ( identity != inverse(identity)
    | spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1939,f1183]) ).

fof(f1939,plain,
    ( identity != inverse(inverse(identity))
    | spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1938,f342]) ).

fof(f1938,plain,
    ( sk_c9 != inverse(inverse(sk_c9))
    | spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f363,f1772]) ).

fof(f1933,plain,
    ( spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1932]) ).

fof(f1932,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f1931,f1183]) ).

fof(f1931,plain,
    ( identity != inverse(identity)
    | spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1930,f1183]) ).

fof(f1930,plain,
    ( identity != inverse(inverse(identity))
    | spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1929,f1183]) ).

fof(f1929,plain,
    ( identity != inverse(inverse(inverse(identity)))
    | spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1928,f1183]) ).

fof(f1928,plain,
    ( identity != inverse(inverse(inverse(inverse(identity))))
    | spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f1904,f1]) ).

fof(f1904,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(inverse(inverse(inverse(identity))))
    | spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(superposition,[],[f1894,f1474]) ).

fof(f1894,plain,
    ( ! [X9] :
        ( identity != multiply(identity,multiply(X9,identity))
        | identity != inverse(X9) )
    | spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1893,f342]) ).

fof(f1893,plain,
    ( ! [X9] :
        ( sk_c9 != multiply(identity,multiply(X9,identity))
        | identity != inverse(X9) )
    | spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1892,f1772]) ).

fof(f1892,plain,
    ( ! [X9] :
        ( identity != inverse(X9)
        | sk_c9 != multiply(sk_c8,multiply(X9,sk_c8)) )
    | spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f105,f1772]) ).

fof(f1927,plain,
    ( spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1926]) ).

fof(f1926,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f1925,f1183]) ).

fof(f1925,plain,
    ( identity != inverse(identity)
    | spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1924,f1183]) ).

fof(f1924,plain,
    ( identity != inverse(inverse(identity))
    | spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f1903,f1]) ).

fof(f1903,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(inverse(identity))
    | spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(superposition,[],[f1894,f2]) ).

fof(f1923,plain,
    ( spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1922]) ).

fof(f1922,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f1921,f1183]) ).

fof(f1921,plain,
    ( identity != inverse(identity)
    | spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f1902,f1]) ).

fof(f1902,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(identity)
    | spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(superposition,[],[f1894,f1]) ).

fof(f1752,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1751]) ).

fof(f1751,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_15 ),
    inference(subsumption_resolution,[],[f1750,f343]) ).

fof(f343,plain,
    ( identity != sk_c9
    | spl0_15 ),
    inference(avatar_component_clause,[],[f341]) ).

fof(f1750,plain,
    ( identity = sk_c9
    | ~ spl0_1
    | spl0_2 ),
    inference(forward_demodulation,[],[f1748,f2]) ).

fof(f1748,plain,
    ( sk_c9 = multiply(inverse(sk_c10),sk_c10)
    | ~ spl0_1
    | spl0_2 ),
    inference(superposition,[],[f76,f1740]) ).

fof(f1740,plain,
    ( sk_c10 = multiply(sk_c10,sk_c9)
    | ~ spl0_1
    | spl0_2 ),
    inference(forward_demodulation,[],[f1736,f51]) ).

fof(f1736,plain,
    ( sk_c10 = multiply(inverse(sk_c1),sk_c9)
    | spl0_2 ),
    inference(superposition,[],[f76,f1721]) ).

fof(f1720,plain,
    ( ~ spl0_1
    | ~ spl0_9
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1719]) ).

fof(f1719,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_9
    | spl0_15 ),
    inference(subsumption_resolution,[],[f1718,f343]) ).

fof(f1718,plain,
    ( identity = sk_c9
    | ~ spl0_1
    | ~ spl0_9
    | spl0_15 ),
    inference(forward_demodulation,[],[f1716,f2]) ).

fof(f1716,plain,
    ( sk_c9 = multiply(inverse(sk_c10),sk_c10)
    | ~ spl0_1
    | ~ spl0_9
    | spl0_15 ),
    inference(superposition,[],[f76,f1712]) ).

fof(f1712,plain,
    ( sk_c10 = multiply(sk_c10,sk_c9)
    | ~ spl0_1
    | ~ spl0_9
    | spl0_15 ),
    inference(forward_demodulation,[],[f1708,f51]) ).

fof(f1708,plain,
    ( sk_c10 = multiply(inverse(sk_c1),sk_c9)
    | ~ spl0_9
    | spl0_15 ),
    inference(superposition,[],[f76,f1645]) ).

fof(f1645,plain,
    ( multiply(sk_c1,sk_c10) = sk_c9
    | ~ spl0_9
    | spl0_15 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f3,f47,f28,f35,f293,f7,f294,f21,f295,f32,f34,f36,f37,f42,f296,f14,f302,f189,f304,f38,f308,f76,f517,f529,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f23,f20,f18,f9,f6,f4,f17,f16,f540,f1207,f1205,f527,f1271,f1272,f1274,f1275,f1268,f1283,f1284,f1269,f1279,f1270,f1258,f1320,f1260,f1327,f1326,f1332,f1330,f1334,f1337,f1318,f1356,f1358,f1325,f1367,f1368,f1362,f1382,f1381,f514,f1474,f1483,f513,f29,f1576,f22,f1594,f8,f343,f1624]) ).

fof(f1701,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1700]) ).

fof(f1700,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_15 ),
    inference(subsumption_resolution,[],[f1699,f343]) ).

fof(f1699,plain,
    ( identity = sk_c9
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1697,f2]) ).

fof(f1697,plain,
    ( sk_c9 = multiply(inverse(sk_c10),sk_c10)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f76,f1677]) ).

fof(f1677,plain,
    ( sk_c10 = multiply(sk_c10,sk_c9)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1673,f51]) ).

fof(f1673,plain,
    ( sk_c10 = multiply(inverse(sk_c1),sk_c9)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f76,f1222]) ).

fof(f1222,plain,
    ( multiply(sk_c1,sk_c10) = sk_c9
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(duplicate_literal_removal,[],[f1221]) ).

fof(f1221,plain,
    ( multiply(sk_c1,sk_c10) = sk_c9
    | multiply(sk_c1,sk_c10) = sk_c9
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f4,f702]) ).

fof(f702,plain,
    ( sk_c1 = sk_c4
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f538,f530]) ).

fof(f530,plain,
    ( sk_c1 = multiply(inverse(sk_c10),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f76,f303]) ).

fof(f303,plain,
    ( identity = multiply(sk_c10,sk_c1)
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f51]) ).

fof(f538,plain,
    ( sk_c4 = multiply(inverse(sk_c10),identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f76,f57]) ).

fof(f57,plain,
    ( identity = multiply(sk_c10,sk_c4)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f55]) ).

fof(f55,plain,
    ( sk_c10 = inverse(sk_c4)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f53]) ).

fof(f1642,plain,
    ( spl0_8
    | ~ spl0_9
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1641]) ).

fof(f1641,plain,
    ( $false
    | spl0_8
    | ~ spl0_9
    | spl0_15 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f3,f47,f28,f35,f293,f7,f294,f21,f295,f32,f34,f36,f37,f42,f296,f14,f302,f189,f304,f38,f308,f76,f517,f529,f10,f24,f45,f31,f25,f27,f30,f11,f13,f15,f44,f43,f41,f39,f23,f20,f18,f9,f6,f4,f17,f16,f540,f1207,f1205,f527,f1271,f1272,f1274,f1275,f1268,f1283,f1284,f1269,f1279,f1270,f1258,f1320,f1260,f1327,f1326,f1332,f1330,f1334,f1337,f1318,f1356,f1358,f1325,f1367,f1368,f1362,f1382,f1381,f514,f1474,f1483,f513,f184,f29,f1575,f1576,f22,f1594,f8,f1624,f343]) ).

fof(f1640,plain,
    ( ~ spl0_4
    | spl0_8
    | ~ spl0_9
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1639]) ).

fof(f1639,plain,
    ( $false
    | ~ spl0_4
    | spl0_8
    | ~ spl0_9
    | spl0_15 ),
    inference(global_subsumption,[],[f1638,f26,f33,f19,f40,f5,f1,f2,f12,f3,f47,f28,f35,f293,f7,f294,f21,f295,f32,f34,f36,f37,f42,f296,f14,f302,f189,f304,f38,f308,f76,f517,f529,f10,f24,f45,f31,f25,f27,f30,f343,f11,f13,f15,f44,f43,f41,f39,f23,f20,f18,f9,f6,f4,f17,f16,f540,f1207,f1205,f527,f1271,f1272,f1274,f1275,f1268,f1283,f1284,f1269,f1279,f1270,f1258,f1320,f1260,f1327,f1326,f1332,f1330,f1334,f1337,f1318,f1356,f1358,f1325,f1367,f1368,f1362,f1382,f1381,f514,f1474,f1483,f513,f184,f29,f1575,f1576,f22,f1594,f8,f1624]) ).

fof(f1638,plain,
    ( identity != inverse(sk_c5)
    | identity != sk_c9
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f223,f1381]) ).

fof(f223,plain,
    ( identity != sk_c9
    | identity != inverse(inverse(sk_c8))
    | ~ spl0_4 ),
    inference(inner_rewriting,[],[f217]) ).

fof(f217,plain,
    ( identity != sk_c9
    | sk_c9 != inverse(inverse(sk_c8))
    | ~ spl0_4 ),
    inference(superposition,[],[f99,f2]) ).

fof(f99,plain,
    ( ! [X5] :
        ( sk_c9 != multiply(X5,sk_c8)
        | sk_c9 != inverse(X5) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f98]) ).

fof(f98,plain,
    ( spl0_4
  <=> ! [X5] :
        ( sk_c9 != inverse(X5)
        | sk_c9 != multiply(X5,sk_c8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f1637,plain,
    ( ~ spl0_4
    | spl0_8
    | ~ spl0_9
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1636]) ).

fof(f1636,plain,
    ( $false
    | ~ spl0_4
    | spl0_8
    | ~ spl0_9
    | spl0_15 ),
    inference(global_subsumption,[],[f1635,f26,f33,f19,f40,f5,f1,f2,f12,f3,f47,f28,f35,f293,f7,f294,f21,f295,f32,f34,f36,f37,f42,f296,f14,f302,f189,f304,f38,f308,f76,f517,f529,f10,f24,f45,f31,f25,f27,f30,f343,f11,f13,f15,f44,f43,f41,f39,f23,f20,f18,f9,f6,f4,f17,f16,f540,f1207,f1205,f527,f1271,f1272,f1274,f1275,f1268,f1283,f1284,f1269,f1279,f1270,f1258,f1320,f1260,f1327,f1326,f1332,f1330,f1334,f1337,f1318,f1356,f1358,f1325,f1367,f1368,f1362,f1382,f1381,f514,f1474,f1483,f513,f184,f29,f1575,f1576,f22,f1594,f8,f1624]) ).

fof(f1635,plain,
    ( sk_c9 != inverse(sk_c5)
    | identity != sk_c9
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f217,f1381]) ).

fof(f1634,plain,
    ( ~ spl0_4
    | spl0_8
    | ~ spl0_9
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1633]) ).

fof(f1633,plain,
    ( $false
    | ~ spl0_4
    | spl0_8
    | ~ spl0_9
    | spl0_15 ),
    inference(global_subsumption,[],[f99,f26,f33,f19,f40,f5,f1,f2,f12,f3,f47,f28,f35,f293,f7,f294,f21,f295,f32,f34,f36,f37,f42,f296,f14,f302,f189,f304,f38,f308,f76,f517,f529,f10,f24,f45,f31,f25,f27,f30,f343,f11,f13,f15,f44,f43,f41,f39,f23,f20,f18,f9,f6,f4,f17,f16,f540,f1207,f1205,f527,f1271,f1272,f1274,f1275,f1268,f1283,f1284,f1269,f1279,f1270,f1258,f1320,f1260,f1327,f1326,f1332,f1330,f1334,f1337,f1318,f1356,f1358,f1325,f1367,f1368,f1362,f1382,f1381,f514,f1474,f1483,f513,f184,f29,f1575,f1576,f22,f1594,f8,f1624]) ).

fof(f1632,plain,
    ( spl0_8
    | ~ spl0_9
    | ~ spl0_12
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1631]) ).

fof(f1631,plain,
    ( $false
    | spl0_8
    | ~ spl0_9
    | ~ spl0_12
    | spl0_15 ),
    inference(global_subsumption,[],[f545,f26,f33,f19,f40,f5,f1,f2,f12,f3,f47,f28,f35,f293,f7,f294,f21,f295,f32,f34,f36,f37,f42,f296,f14,f302,f189,f304,f38,f308,f76,f517,f529,f10,f24,f45,f31,f25,f27,f30,f343,f11,f13,f15,f44,f43,f41,f39,f23,f20,f18,f9,f6,f4,f17,f16,f540,f1207,f1205,f527,f1271,f1272,f1274,f1275,f1268,f1283,f1284,f1269,f1279,f1270,f1258,f1320,f1260,f1327,f1326,f1332,f1330,f1334,f1337,f1318,f1356,f1358,f1325,f1367,f1368,f1362,f1382,f1381,f514,f1474,f1483,f513,f184,f29,f1575,f1576,f22,f1594,f8,f1624]) ).

fof(f1630,plain,
    ( ~ spl0_4
    | spl0_8
    | ~ spl0_9
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1629]) ).

fof(f1629,plain,
    ( $false
    | ~ spl0_4
    | spl0_8
    | ~ spl0_9
    | spl0_15 ),
    inference(global_subsumption,[],[f216,f26,f33,f19,f40,f5,f1,f2,f12,f3,f47,f28,f35,f293,f7,f294,f21,f295,f32,f34,f36,f37,f42,f296,f14,f302,f189,f304,f38,f308,f76,f517,f529,f10,f24,f45,f31,f25,f27,f30,f343,f11,f13,f15,f44,f43,f41,f39,f23,f20,f18,f9,f6,f4,f17,f16,f540,f1207,f1205,f527,f1271,f1272,f1274,f1275,f1268,f1283,f1284,f1269,f1279,f1270,f1258,f1320,f1260,f1327,f1326,f1332,f1330,f1334,f1337,f1318,f1356,f1358,f1325,f1367,f1368,f1362,f1382,f1381,f514,f1474,f1483,f513,f184,f29,f1575,f1576,f22,f1594,f8,f1624]) ).

fof(f216,plain,
    ( sk_c9 != sk_c8
    | sk_c9 != inverse(identity)
    | ~ spl0_4 ),
    inference(superposition,[],[f99,f1]) ).

fof(f1628,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_8
    | ~ spl0_9
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1627]) ).

fof(f1627,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_8
    | ~ spl0_9
    | spl0_15 ),
    inference(global_subsumption,[],[f1222,f26,f33,f19,f40,f5,f1,f2,f12,f3,f47,f28,f35,f293,f7,f294,f21,f295,f32,f34,f36,f37,f42,f296,f14,f302,f189,f304,f38,f308,f76,f517,f529,f10,f24,f45,f31,f25,f27,f30,f343,f11,f13,f15,f44,f43,f41,f39,f23,f20,f18,f9,f6,f4,f17,f16,f540,f1207,f1205,f527,f1271,f1272,f1274,f1275,f1268,f1283,f1284,f1269,f1279,f1270,f1258,f1320,f1260,f1327,f1326,f1332,f1330,f1334,f1337,f1318,f1356,f1358,f1325,f1367,f1368,f1362,f1382,f1381,f514,f1474,f1483,f513,f184,f29,f1575,f1576,f22,f1594,f8,f1624]) ).

fof(f1626,plain,
    ( spl0_8
    | ~ spl0_9
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1625]) ).

fof(f1625,plain,
    ( $false
    | spl0_8
    | ~ spl0_9
    | spl0_15 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f3,f47,f28,f35,f293,f7,f294,f21,f295,f32,f34,f36,f37,f42,f296,f14,f302,f189,f304,f38,f308,f76,f517,f529,f10,f24,f45,f31,f25,f27,f30,f343,f11,f13,f15,f44,f43,f41,f39,f23,f20,f18,f9,f6,f4,f17,f16,f540,f1207,f1205,f527,f1271,f1272,f1274,f1275,f1268,f1283,f1284,f1269,f1279,f1270,f1258,f1320,f1260,f1327,f1326,f1332,f1330,f1334,f1337,f1318,f1356,f1358,f1325,f1367,f1368,f1362,f1382,f1381,f514,f1474,f1483,f513,f184,f29,f1575,f1576,f22,f1594,f8,f1624]) ).

fof(f1623,plain,
    ( spl0_8
    | ~ spl0_9
    | ~ spl0_12
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1622]) ).

fof(f1622,plain,
    ( $false
    | spl0_8
    | ~ spl0_9
    | ~ spl0_12
    | spl0_15 ),
    inference(global_subsumption,[],[f525,f26,f33,f19,f40,f5,f1,f2,f12,f3,f47,f28,f35,f293,f7,f294,f21,f295,f32,f34,f36,f37,f42,f296,f14,f302,f189,f304,f38,f308,f76,f517,f529,f10,f24,f45,f31,f25,f27,f30,f343,f11,f13,f15,f44,f43,f41,f39,f23,f20,f18,f9,f6,f4,f17,f16,f540,f1207,f1205,f527,f1271,f1272,f1274,f1275,f1268,f1283,f1284,f1269,f1279,f1270,f1258,f1320,f1260,f1327,f1326,f1332,f1330,f1334,f1337,f1318,f1356,f1358,f1325,f1367,f1368,f1362,f1382,f1381,f514,f1474,f1483,f513,f184,f29,f1575,f1576,f22,f1594,f8]) ).

fof(f1621,plain,
    ( spl0_8
    | ~ spl0_9
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1620]) ).

fof(f1620,plain,
    ( $false
    | spl0_8
    | ~ spl0_9
    | spl0_15 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f3,f47,f28,f35,f293,f7,f294,f21,f295,f32,f34,f36,f37,f42,f296,f14,f302,f189,f304,f38,f308,f76,f517,f529,f10,f24,f45,f31,f25,f27,f30,f343,f11,f13,f15,f44,f43,f41,f39,f23,f20,f18,f9,f6,f4,f17,f16,f540,f1207,f1205,f527,f1271,f1272,f1274,f1275,f1268,f1283,f1284,f1269,f1279,f1270,f1258,f1320,f1260,f1327,f1326,f1332,f1330,f1334,f1337,f1318,f1356,f1358,f1325,f1367,f1368,f1362,f1382,f1381,f514,f1474,f1483,f513,f184,f29,f1575,f1576,f22,f1594,f8]) ).

fof(f1619,plain,
    ( spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1618]) ).

fof(f1618,plain,
    ( $false
    | spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | spl0_15 ),
    inference(global_subsumption,[],[f1302,f26,f33,f19,f40,f5,f1,f2,f12,f3,f47,f28,f35,f293,f7,f294,f21,f295,f32,f34,f36,f37,f42,f296,f14,f302,f189,f304,f38,f308,f76,f517,f529,f10,f24,f45,f31,f25,f27,f30,f343,f11,f13,f15,f44,f43,f41,f39,f23,f20,f18,f9,f8,f6,f4,f17,f16,f540,f1207,f1205,f527,f1271,f1272,f1274,f1275,f1268,f1283,f1284,f1269,f1279,f1270,f1258,f1320,f1260,f1327,f1326,f1332,f1330,f1334,f1337,f1318,f1356,f1358,f1325,f1367,f1368,f1362,f1382,f1381,f514,f1474,f1483,f513,f184,f29,f1575,f1576,f22,f1594]) ).

fof(f1617,plain,
    ( ~ spl0_1
    | spl0_8
    | ~ spl0_9
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1616]) ).

fof(f1616,plain,
    ( $false
    | ~ spl0_1
    | spl0_8
    | ~ spl0_9
    | spl0_15 ),
    inference(global_subsumption,[],[f1304,f26,f33,f19,f40,f5,f1,f2,f12,f3,f47,f28,f35,f293,f7,f294,f21,f295,f32,f34,f36,f37,f42,f296,f14,f302,f189,f304,f38,f308,f76,f517,f529,f10,f24,f45,f31,f25,f27,f30,f343,f11,f13,f15,f44,f43,f41,f39,f23,f20,f18,f9,f8,f6,f4,f17,f16,f540,f1207,f1205,f527,f1271,f1272,f1274,f1275,f1268,f1283,f1284,f1269,f1279,f1270,f1258,f1320,f1260,f1327,f1326,f1332,f1330,f1334,f1337,f1318,f1356,f1358,f1325,f1367,f1368,f1362,f1382,f1381,f514,f1474,f1483,f513,f184,f29,f1575,f1576,f22,f1594]) ).

fof(f1615,plain,
    ( ~ spl0_1
    | spl0_8
    | ~ spl0_9
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1614]) ).

fof(f1614,plain,
    ( $false
    | ~ spl0_1
    | spl0_8
    | ~ spl0_9
    | spl0_15 ),
    inference(global_subsumption,[],[f1305,f26,f33,f19,f40,f5,f1,f2,f12,f3,f47,f28,f35,f293,f7,f294,f21,f295,f32,f34,f36,f37,f42,f296,f14,f302,f189,f304,f38,f308,f76,f517,f529,f10,f24,f45,f31,f25,f27,f30,f343,f11,f13,f15,f44,f43,f41,f39,f23,f20,f18,f9,f8,f6,f4,f17,f16,f540,f1207,f1205,f527,f1271,f1272,f1274,f1275,f1268,f1283,f1284,f1269,f1279,f1270,f1258,f1320,f1260,f1327,f1326,f1332,f1330,f1334,f1337,f1318,f1356,f1358,f1325,f1367,f1368,f1362,f1382,f1381,f514,f1474,f1483,f513,f184,f29,f1575,f1576,f22,f1594]) ).

fof(f1613,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_8
    | ~ spl0_9
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1612]) ).

fof(f1612,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_8
    | ~ spl0_9
    | spl0_15 ),
    inference(global_subsumption,[],[f1611,f26,f33,f19,f40,f5,f1,f2,f12,f3,f47,f28,f35,f293,f7,f294,f21,f295,f32,f34,f36,f37,f42,f296,f14,f302,f189,f304,f38,f308,f76,f517,f529,f10,f24,f45,f31,f25,f27,f30,f343,f11,f13,f15,f44,f43,f41,f39,f23,f20,f18,f9,f8,f6,f4,f17,f16,f540,f1207,f1205,f527,f1271,f1272,f1274,f1275,f1268,f1283,f1284,f1269,f1279,f1270,f1258,f1320,f1260,f1327,f1326,f1332,f1330,f1334,f1337,f1318,f1356,f1358,f1325,f1367,f1368,f1362,f1382,f1381,f514,f1474,f1483,f513,f184,f29,f1575,f1576,f22,f1594]) ).

fof(f1611,plain,
    ( sk_c1 = multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1306,f702]) ).

fof(f1306,plain,
    ( sk_c4 = multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1216,f538]) ).

fof(f1610,plain,
    ( ~ spl0_1
    | spl0_8
    | ~ spl0_9
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1609]) ).

fof(f1609,plain,
    ( $false
    | ~ spl0_1
    | spl0_8
    | ~ spl0_9
    | spl0_15 ),
    inference(global_subsumption,[],[f1307,f26,f33,f19,f40,f5,f1,f2,f12,f3,f47,f28,f35,f293,f7,f294,f21,f295,f32,f34,f36,f37,f42,f296,f14,f302,f189,f304,f38,f308,f76,f517,f529,f10,f24,f45,f31,f25,f27,f30,f343,f11,f13,f15,f44,f43,f41,f39,f23,f20,f18,f9,f8,f6,f4,f17,f16,f540,f1207,f1205,f527,f1271,f1272,f1274,f1275,f1268,f1283,f1284,f1269,f1279,f1270,f1258,f1320,f1260,f1327,f1326,f1332,f1330,f1334,f1337,f1318,f1356,f1358,f1325,f1367,f1368,f1362,f1382,f1381,f514,f1474,f1483,f513,f184,f29,f1575,f1576,f22,f1594]) ).

fof(f1307,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c10,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f1216,f76]) ).

fof(f1608,plain,
    ( ~ spl0_1
    | spl0_8
    | ~ spl0_9
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1607]) ).

fof(f1607,plain,
    ( $false
    | ~ spl0_1
    | spl0_8
    | ~ spl0_9
    | spl0_15 ),
    inference(global_subsumption,[],[f1308,f26,f33,f19,f40,f5,f1,f2,f12,f3,f47,f28,f35,f293,f7,f294,f21,f295,f32,f34,f36,f37,f42,f296,f14,f302,f189,f304,f38,f308,f76,f517,f529,f10,f24,f45,f31,f25,f27,f30,f343,f11,f13,f15,f44,f43,f41,f39,f23,f20,f18,f9,f8,f6,f4,f17,f16,f540,f1207,f1205,f527,f1271,f1272,f1274,f1275,f1268,f1283,f1284,f1269,f1279,f1270,f1258,f1320,f1260,f1327,f1326,f1332,f1330,f1334,f1337,f1318,f1356,f1358,f1325,f1367,f1368,f1362,f1382,f1381,f514,f1474,f1483,f513,f184,f29,f1575,f1576,f22,f1594]) ).

fof(f1308,plain,
    ( identity = multiply(sk_c1,sk_c10)
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f1216]) ).

fof(f1606,plain,
    ( ~ spl0_1
    | spl0_8
    | ~ spl0_9
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1605]) ).

fof(f1605,plain,
    ( $false
    | ~ spl0_1
    | spl0_8
    | ~ spl0_9
    | spl0_15 ),
    inference(global_subsumption,[],[f1311,f26,f33,f19,f40,f5,f1,f2,f12,f3,f47,f28,f35,f293,f7,f294,f21,f295,f32,f34,f36,f37,f42,f296,f14,f302,f189,f304,f38,f308,f76,f517,f529,f10,f24,f45,f31,f25,f27,f30,f343,f11,f13,f15,f44,f43,f41,f39,f23,f20,f18,f9,f8,f6,f4,f17,f16,f540,f1207,f1205,f527,f1271,f1272,f1274,f1275,f1268,f1283,f1284,f1269,f1279,f1270,f1258,f1320,f1260,f1327,f1326,f1332,f1330,f1334,f1337,f1318,f1356,f1358,f1325,f1367,f1368,f1362,f1382,f1381,f514,f1474,f1483,f513,f184,f29,f1575,f1576,f22,f1594]) ).

fof(f1311,plain,
    ( sk_c1 = multiply(sk_c1,identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f1192,f1216]) ).

fof(f1604,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_8
    | ~ spl0_9
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1603]) ).

fof(f1603,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_8
    | ~ spl0_9
    | spl0_15 ),
    inference(global_subsumption,[],[f1602,f26,f33,f19,f40,f5,f1,f2,f12,f3,f47,f28,f35,f293,f7,f294,f21,f295,f32,f34,f36,f37,f42,f296,f14,f302,f189,f304,f38,f308,f76,f517,f529,f10,f24,f45,f31,f25,f27,f30,f343,f11,f13,f15,f44,f43,f41,f39,f23,f20,f18,f9,f8,f6,f4,f17,f16,f540,f1207,f1205,f527,f1271,f1272,f1274,f1275,f1268,f1283,f1284,f1269,f1279,f1270,f1258,f1320,f1260,f1327,f1326,f1332,f1330,f1334,f1337,f1318,f1356,f1358,f1325,f1367,f1368,f1362,f1382,f1381,f514,f1474,f1483,f513,f184,f29,f1575,f1576,f22,f1594]) ).

fof(f1602,plain,
    ( sk_c1 = multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1312,f702]) ).

fof(f1312,plain,
    ( sk_c4 = multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f538,f1216]) ).

fof(f1601,plain,
    ( ~ spl0_1
    | spl0_8
    | ~ spl0_9
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1600]) ).

fof(f1600,plain,
    ( $false
    | ~ spl0_1
    | spl0_8
    | ~ spl0_9
    | spl0_15 ),
    inference(global_subsumption,[],[f1313,f26,f33,f19,f40,f5,f1,f2,f12,f3,f47,f28,f35,f293,f7,f294,f21,f295,f32,f34,f36,f37,f42,f296,f14,f302,f189,f304,f38,f308,f76,f517,f529,f10,f24,f45,f31,f25,f27,f30,f343,f11,f13,f15,f44,f43,f41,f39,f23,f20,f18,f9,f8,f6,f4,f17,f16,f540,f1207,f1205,f527,f1271,f1272,f1274,f1275,f1268,f1283,f1284,f1269,f1279,f1270,f1258,f1320,f1260,f1327,f1326,f1332,f1330,f1334,f1337,f1318,f1356,f1358,f1325,f1367,f1368,f1362,f1382,f1381,f514,f1474,f1483,f513,f184,f29,f1575,f1576,f22,f1594]) ).

fof(f1313,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c10,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f76,f1216]) ).

fof(f1599,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_8
    | ~ spl0_9
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1598]) ).

fof(f1598,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_8
    | ~ spl0_9
    | spl0_15 ),
    inference(global_subsumption,[],[f1597,f26,f33,f19,f40,f5,f1,f2,f12,f3,f47,f28,f35,f293,f7,f294,f21,f295,f32,f34,f36,f37,f42,f296,f14,f302,f189,f304,f38,f308,f76,f517,f529,f10,f24,f45,f31,f25,f27,f30,f343,f11,f13,f15,f44,f43,f41,f39,f23,f20,f18,f9,f8,f6,f4,f17,f16,f540,f1207,f1205,f527,f1271,f1272,f1274,f1275,f1268,f1283,f1284,f1269,f1279,f1270,f1258,f1320,f1260,f1327,f1326,f1332,f1330,f1334,f1337,f1318,f1356,f1358,f1325,f1367,f1368,f1362,f1382,f1381,f514,f1474,f1483,f513,f184,f29,f1575,f1576,f22,f1594]) ).

fof(f1597,plain,
    ( multiply(sk_c1,sk_c10) = sk_c9
    | sk_c8 = multiply(sk_c2,sk_c9)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f18,f702]) ).

fof(f1596,plain,
    ( spl0_8
    | ~ spl0_9
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1595]) ).

fof(f1595,plain,
    ( $false
    | spl0_8
    | ~ spl0_9
    | spl0_15 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f3,f47,f28,f35,f293,f7,f294,f21,f295,f32,f34,f36,f37,f42,f296,f14,f302,f189,f304,f38,f308,f76,f517,f529,f10,f24,f45,f31,f25,f27,f30,f343,f11,f13,f15,f44,f43,f41,f39,f23,f20,f18,f9,f8,f6,f4,f17,f16,f540,f1207,f1205,f527,f1271,f1272,f1274,f1275,f1268,f1283,f1284,f1269,f1279,f1270,f1258,f1320,f1260,f1327,f1326,f1332,f1330,f1334,f1337,f1318,f1356,f1358,f1325,f1367,f1368,f1362,f1382,f1381,f514,f1474,f1483,f513,f184,f29,f1575,f1576,f22,f1594]) ).

fof(f1593,plain,
    ( spl0_8
    | ~ spl0_9
    | ~ spl0_14
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1592]) ).

fof(f1592,plain,
    ( $false
    | spl0_8
    | ~ spl0_9
    | ~ spl0_14
    | spl0_15 ),
    inference(global_subsumption,[],[f338,f26,f33,f19,f40,f5,f1,f2,f12,f3,f47,f28,f35,f293,f7,f294,f21,f295,f32,f34,f36,f37,f42,f296,f14,f302,f189,f304,f38,f308,f76,f517,f529,f10,f24,f45,f31,f25,f27,f30,f343,f11,f13,f15,f44,f43,f41,f39,f23,f20,f18,f9,f8,f6,f4,f17,f16,f540,f1207,f1205,f527,f1271,f1272,f1274,f1275,f1268,f1283,f1284,f1269,f1279,f1270,f1258,f1320,f1260,f1327,f1326,f1332,f1330,f1334,f1337,f1318,f1356,f1358,f1325,f1367,f1368,f1362,f1382,f1381,f514,f1474,f1483,f513,f184,f29,f1575,f1576,f22]) ).

fof(f338,plain,
    ( sk_c10 = inverse(inverse(sk_c10))
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f337]) ).

fof(f1591,plain,
    ( spl0_8
    | ~ spl0_9
    | ~ spl0_12
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1590]) ).

fof(f1590,plain,
    ( $false
    | spl0_8
    | ~ spl0_9
    | ~ spl0_12
    | spl0_15 ),
    inference(global_subsumption,[],[f1465,f26,f33,f19,f40,f5,f1,f2,f12,f3,f47,f28,f35,f293,f7,f294,f21,f295,f32,f34,f36,f37,f42,f296,f14,f302,f189,f304,f38,f308,f76,f517,f529,f10,f24,f45,f31,f25,f27,f30,f343,f11,f13,f15,f44,f43,f41,f39,f23,f20,f18,f9,f8,f6,f4,f17,f16,f540,f1207,f1205,f527,f1271,f1272,f1274,f1275,f1268,f1283,f1284,f1269,f1279,f1270,f1258,f1320,f1260,f1327,f1326,f1332,f1330,f1334,f1337,f1318,f1356,f1358,f1325,f1367,f1368,f1362,f1382,f1381,f514,f1474,f1483,f513,f184,f29,f1575,f1576,f22]) ).

fof(f1589,plain,
    ( ~ spl0_1
    | spl0_8
    | ~ spl0_9
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1588]) ).

fof(f1588,plain,
    ( $false
    | ~ spl0_1
    | spl0_8
    | ~ spl0_9
    | spl0_15 ),
    inference(global_subsumption,[],[f1467,f26,f33,f19,f40,f5,f1,f2,f12,f3,f47,f28,f35,f293,f7,f294,f21,f295,f32,f34,f36,f37,f42,f296,f14,f302,f189,f304,f38,f308,f76,f517,f529,f10,f24,f45,f31,f25,f27,f30,f343,f11,f13,f15,f44,f43,f41,f39,f23,f20,f18,f9,f8,f6,f4,f17,f16,f540,f1207,f1205,f527,f1271,f1272,f1274,f1275,f1268,f1283,f1284,f1269,f1279,f1270,f1258,f1320,f1260,f1327,f1326,f1332,f1330,f1334,f1337,f1318,f1356,f1358,f1325,f1367,f1368,f1362,f1382,f1381,f514,f1474,f1483,f513,f184,f29,f1575,f1576,f22]) ).

fof(f1587,plain,
    ( ~ spl0_1
    | spl0_8
    | ~ spl0_9
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1586]) ).

fof(f1586,plain,
    ( $false
    | ~ spl0_1
    | spl0_8
    | ~ spl0_9
    | spl0_15 ),
    inference(global_subsumption,[],[f1471,f26,f33,f19,f40,f5,f1,f2,f12,f3,f47,f28,f35,f293,f7,f294,f21,f295,f32,f34,f36,f37,f42,f296,f14,f302,f189,f304,f38,f308,f76,f517,f529,f10,f24,f45,f31,f25,f27,f30,f343,f11,f13,f15,f44,f43,f41,f39,f23,f20,f18,f9,f8,f6,f4,f17,f16,f540,f1207,f1205,f527,f1271,f1272,f1274,f1275,f1268,f1283,f1284,f1269,f1279,f1270,f1258,f1320,f1260,f1327,f1326,f1332,f1330,f1334,f1337,f1318,f1356,f1358,f1325,f1367,f1368,f1362,f1382,f1381,f514,f1474,f1483,f513,f184,f29,f1575,f1576,f22]) ).

fof(f1471,plain,
    ( sk_c1 = inverse(sk_c10)
    | ~ spl0_1 ),
    inference(superposition,[],[f1261,f514]) ).

fof(f1585,plain,
    ( spl0_8
    | ~ spl0_9
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1584]) ).

fof(f1584,plain,
    ( $false
    | spl0_8
    | ~ spl0_9
    | spl0_15 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f3,f47,f28,f35,f293,f7,f294,f21,f295,f32,f34,f36,f37,f42,f296,f14,f302,f189,f304,f38,f308,f76,f517,f529,f10,f24,f45,f31,f25,f27,f30,f343,f11,f13,f15,f44,f43,f41,f39,f23,f20,f18,f9,f8,f6,f4,f17,f16,f540,f1207,f1205,f527,f1271,f1272,f1274,f1275,f1268,f1283,f1284,f1269,f1279,f1270,f1258,f1320,f1260,f1327,f1326,f1332,f1330,f1334,f1337,f1318,f1356,f1358,f1325,f1367,f1368,f1362,f1382,f1381,f514,f1474,f1483,f513,f184,f29,f1575,f1576,f22]) ).

fof(f1583,plain,
    ( spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1582]) ).

fof(f1582,plain,
    ( $false
    | spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | spl0_15 ),
    inference(global_subsumption,[],[f1529,f26,f33,f19,f40,f5,f1,f2,f12,f3,f47,f28,f35,f293,f7,f294,f21,f295,f32,f34,f36,f37,f42,f296,f14,f302,f189,f304,f38,f308,f76,f517,f529,f10,f24,f45,f31,f25,f27,f30,f343,f11,f13,f15,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f17,f16,f540,f1207,f1205,f527,f1271,f1272,f1274,f1275,f1268,f1283,f1284,f1269,f1279,f1270,f1258,f1320,f1260,f1327,f1326,f1332,f1330,f1334,f1337,f1318,f1356,f1358,f1325,f1367,f1368,f1362,f1382,f1381,f514,f1474,f1483,f513,f184,f29,f1575,f1576]) ).

fof(f1581,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_8
    | ~ spl0_9
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1580]) ).

fof(f1580,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_8
    | ~ spl0_9
    | spl0_15 ),
    inference(global_subsumption,[],[f1579,f26,f33,f19,f40,f5,f1,f2,f12,f3,f47,f28,f35,f293,f7,f294,f21,f295,f32,f34,f36,f37,f42,f296,f14,f302,f189,f304,f38,f308,f76,f517,f529,f10,f24,f45,f31,f25,f27,f30,f343,f11,f13,f15,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f17,f16,f540,f1207,f1205,f527,f1271,f1272,f1274,f1275,f1268,f1283,f1284,f1269,f1279,f1270,f1258,f1320,f1260,f1327,f1326,f1332,f1330,f1334,f1337,f1318,f1356,f1358,f1325,f1367,f1368,f1362,f1382,f1381,f514,f1474,f1483,f513,f184,f29,f1575,f1576]) ).

fof(f1579,plain,
    ( multiply(sk_c1,sk_c10) = sk_c9
    | sk_c9 = inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f25,f702]) ).

fof(f1578,plain,
    ( spl0_8
    | ~ spl0_9
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1577]) ).

fof(f1577,plain,
    ( $false
    | spl0_8
    | ~ spl0_9
    | spl0_15 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f3,f47,f28,f35,f293,f7,f294,f21,f295,f32,f34,f36,f37,f42,f296,f14,f302,f189,f304,f38,f308,f76,f517,f529,f10,f24,f45,f31,f25,f27,f30,f343,f11,f13,f15,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f17,f16,f540,f1207,f1205,f527,f1271,f1272,f1274,f1275,f1268,f1283,f1284,f1269,f1279,f1270,f1258,f1320,f1260,f1327,f1326,f1332,f1330,f1334,f1337,f1318,f1356,f1358,f1325,f1367,f1368,f1362,f1382,f1381,f514,f1474,f1483,f513,f184,f29,f1575,f1576]) ).

fof(f1569,plain,
    ( ~ spl0_4
    | spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1568]) ).

fof(f1568,plain,
    ( $false
    | ~ spl0_4
    | spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f1562,f1539]) ).

fof(f1539,plain,
    ( identity != sk_c8
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f3,f47,f28,f218,f35,f293,f7,f294,f21,f295,f32,f34,f36,f37,f42,f296,f14,f302,f189,f304,f38,f308,f76,f517,f529,f738,f832,f829,f826,f728,f788,f785,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f10,f24,f45,f31,f25,f27,f29,f30,f11,f13,f15,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f17,f16,f771,f216,f223,f1159,f217,f1160,f99,f342,f766,f1189,f1200,f540,f1207,f1205,f527,f1271,f1272,f1274,f1275,f1268,f1283,f1284,f1282,f1269,f1279,f1270,f1258,f1320,f1260,f1327,f1326,f1332,f1330,f1334,f1337,f1336,f1318,f1356,f1358,f1325,f1367,f1368,f1374,f1362,f1382,f1381,f514,f1474,f1483,f1531,f1287,f513,f1538]) ).

fof(f1538,plain,
    ( identity != inverse(identity)
    | identity != sk_c8
    | ~ spl0_4
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1220,f342]) ).

fof(f1220,plain,
    ( identity != sk_c8
    | sk_c9 != inverse(identity)
    | ~ spl0_4
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f216,f342]) ).

fof(f1287,plain,
    ( identity != sk_c8
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_15 ),
    inference(superposition,[],[f1282,f189]) ).

fof(f1374,plain,
    ( identity != multiply(sk_c8,sk_c8)
    | identity != inverse(inverse(inverse(sk_c8)))
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_15 ),
    inference(superposition,[],[f1189,f1325]) ).

fof(f1336,plain,
    ( identity != inverse(inverse(inverse(inverse(sk_c8))))
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_15 ),
    inference(trivial_inequality_removal,[],[f1333]) ).

fof(f1333,plain,
    ( identity != identity
    | identity != inverse(inverse(inverse(inverse(sk_c8))))
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_15 ),
    inference(superposition,[],[f1189,f1330]) ).

fof(f1282,plain,
    ( identity != inverse(sk_c5)
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_15 ),
    inference(trivial_inequality_removal,[],[f1278]) ).

fof(f1278,plain,
    ( identity != identity
    | identity != inverse(sk_c5)
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_15 ),
    inference(superposition,[],[f1189,f1268]) ).

fof(f1200,plain,
    ( ! [X0,X1] :
        ( identity != multiply(X0,multiply(X1,sk_c8))
        | identity != inverse(multiply(X0,X1)) )
    | ~ spl0_4
    | ~ spl0_15 ),
    inference(superposition,[],[f1189,f3]) ).

fof(f1189,plain,
    ( ! [X5] :
        ( identity != multiply(X5,sk_c8)
        | identity != inverse(X5) )
    | ~ spl0_4
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1188,f342]) ).

fof(f1188,plain,
    ( ! [X5] :
        ( identity != multiply(X5,sk_c8)
        | sk_c9 != inverse(X5) )
    | ~ spl0_4
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f99,f342]) ).

fof(f766,plain,
    ( identity != inverse(inverse(sk_c8))
    | ~ spl0_4
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f223,f342]) ).

fof(f1160,plain,
    ( sk_c9 != inverse(inverse(sk_c8))
    | ~ spl0_4
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f3,f47,f28,f99,f218,f35,f7,f21,f32,f34,f36,f37,f42,f14,f38,f76,f514,f517,f529,f513,f738,f832,f829,f826,f728,f788,f785,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f10,f24,f45,f31,f25,f27,f29,f30,f342,f11,f13,f15,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f17,f16,f771,f766,f216,f223,f1159,f217]) ).

fof(f1159,plain,
    ( identity != inverse(inverse(sk_c8))
    | ~ spl0_4
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f3,f47,f28,f99,f217,f218,f35,f7,f21,f32,f34,f36,f37,f42,f14,f38,f76,f514,f517,f529,f513,f738,f832,f829,f826,f728,f788,f785,f859,f861,f864,f867,f870,f872,f875,f878,f881,f883,f886,f889,f892,f894,f896,f898,f10,f24,f45,f31,f25,f27,f29,f30,f342,f11,f13,f15,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f17,f16,f771,f766,f216,f223]) ).

fof(f771,plain,
    ( sk_c9 != inverse(inverse(sk_c8))
    | ~ spl0_4
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f217,f342]) ).

fof(f218,plain,
    ( ! [X0,X1] :
        ( sk_c9 != multiply(X0,multiply(X1,sk_c8))
        | sk_c9 != inverse(multiply(X0,X1)) )
    | ~ spl0_4 ),
    inference(superposition,[],[f99,f3]) ).

fof(f1567,plain,
    ( ~ spl0_4
    | spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1566]) ).

fof(f1566,plain,
    ( $false
    | ~ spl0_4
    | spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f1561,f1539]) ).

fof(f1524,plain,
    ( ~ spl0_4
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1523]) ).

fof(f1523,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f1512,f1183]) ).

fof(f1512,plain,
    ( identity != inverse(identity)
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(superposition,[],[f1282,f1503]) ).

fof(f1503,plain,
    ( identity = sk_c5
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f1502,f1202]) ).

fof(f1202,plain,
    ( identity != sk_c8
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f1198,f1183]) ).

fof(f1198,plain,
    ( identity != sk_c8
    | identity != inverse(identity)
    | ~ spl0_4
    | ~ spl0_15 ),
    inference(superposition,[],[f1189,f1]) ).

fof(f1502,plain,
    ( identity = sk_c8
    | identity = sk_c5
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1501,f1]) ).

fof(f1501,plain,
    ( sk_c8 = multiply(identity,identity)
    | identity = sk_c5
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1500,f963]) ).

fof(f1500,plain,
    ( sk_c8 = multiply(sk_c2,identity)
    | identity = sk_c5
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1499,f342]) ).

fof(f1499,plain,
    ( identity = sk_c5
    | sk_c8 = multiply(sk_c2,sk_c9)
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1498,f1268]) ).

fof(f1498,plain,
    ( sk_c5 = multiply(sk_c5,sk_c8)
    | sk_c8 = multiply(sk_c2,sk_c9)
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1497,f1493]) ).

fof(f1493,plain,
    ( sk_c5 = sk_c7
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1490,f540]) ).

fof(f1490,plain,
    ( sk_c7 = multiply(inverse(sk_c8),identity)
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(superposition,[],[f76,f1488]) ).

fof(f1488,plain,
    ( identity = multiply(sk_c8,sk_c7)
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1487,f342]) ).

fof(f1487,plain,
    ( sk_c9 = multiply(sk_c8,sk_c7)
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f1486,f1202]) ).

fof(f1486,plain,
    ( identity = sk_c8
    | sk_c9 = multiply(sk_c8,sk_c7)
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1485,f1]) ).

fof(f1485,plain,
    ( sk_c8 = multiply(identity,identity)
    | sk_c9 = multiply(sk_c8,sk_c7)
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1484,f963]) ).

fof(f1516,plain,
    ( ~ spl0_4
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1515]) ).

fof(f1515,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f1514,f1202]) ).

fof(f1514,plain,
    ( identity = sk_c8
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1504,f1183]) ).

fof(f1504,plain,
    ( sk_c8 = inverse(identity)
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(superposition,[],[f189,f1503]) ).

fof(f1446,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_14
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1445]) ).

fof(f1445,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_14
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f1432,f51]) ).

fof(f1432,plain,
    ( sk_c10 != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_14
    | ~ spl0_15 ),
    inference(superposition,[],[f339,f1427]) ).

fof(f1427,plain,
    ( sk_c1 = inverse(sk_c10)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1424,f1232]) ).

fof(f1232,plain,
    ( sk_c1 = multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_15 ),
    inference(superposition,[],[f1227,f1180]) ).

fof(f1227,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c10,X0)) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1225,f1]) ).

fof(f1225,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c1,multiply(sk_c10,X0))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_15 ),
    inference(superposition,[],[f3,f1223]) ).

fof(f1223,plain,
    ( identity = multiply(sk_c1,sk_c10)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1222,f342]) ).

fof(f1424,plain,
    ( inverse(sk_c10) = multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_15 ),
    inference(superposition,[],[f1227,f1408]) ).

fof(f1408,plain,
    ( identity = multiply(sk_c10,inverse(sk_c10))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_15 ),
    inference(superposition,[],[f1339,f2]) ).

fof(f1339,plain,
    ( ! [X0] : multiply(sk_c10,X0) = multiply(inverse(inverse(sk_c10)),X0)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_15 ),
    inference(superposition,[],[f1263,f1227]) ).

fof(f1263,plain,
    ( ! [X0] : multiply(inverse(inverse(sk_c10)),multiply(sk_c1,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1262,f1]) ).

fof(f1262,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(sk_c10)),multiply(sk_c1,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f1214]) ).

fof(f1153,plain,
    ( spl0_1
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1152]) ).

fof(f1152,plain,
    ( $false
    | spl0_1
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f28,f58,f60,f254,f255,f257,f258,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f274,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f285,f286,f256,f289,f35,f293,f7,f294,f21,f295,f32,f34,f36,f37,f42,f296,f15,f13,f11,f14,f302,f189,f304,f38,f308,f102,f371,f373,f76,f514,f517,f529,f513,f738,f16,f832,f852,f829,f853,f826,f17,f527,f728,f856,f788,f785,f859,f860,f861,f862,f864,f865,f867,f868,f870,f871,f872,f873,f875,f876,f878,f879,f881,f882,f883,f884,f886,f887,f889,f890,f892,f893,f894,f895,f896,f897,f898,f899,f907,f908,f50,f912,f916,f854,f935,f936,f937,f938,f939,f940,f941,f942,f943,f944,f927,f947,f948,f928,f950,f953,f954,f949,f929,f962,f913,f972,f975,f976,f917,f982,f985,f986,f934,f540,f851,f855,f10,f24,f45,f4,f6,f1061,f8,f1062,f9,f1063,f18,f1064,f20,f1065,f22,f1066,f23,f1067,f39,f1068,f41,f1069,f43,f1070,f44,f1071,f31,f1073,f1074,f1075,f25,f1076,f27,f1077,f29,f1078,f30,f1079,f92,f1080,f1081,f272,f1086,f273,f1088,f1060,f1098,f1102,f1103,f1104,f1105,f1106,f1107,f1108,f1109,f1110,f1111,f1112,f1113,f1095,f1116,f1115,f1100,f1120,f1122,f1119,f1101,f1124,f1125,f1126,f1087,f1132,f1134,f1089,f1135,f1137,f990,f846,f843,f840,f1143,f971,f981,f979,f342,f1144,f1145,f1147,f1151]) ).

fof(f1151,plain,
    ( ! [X7] :
        ( sk_c9 != inverse(X7)
        | sk_c9 != multiply(X7,sk_c9) )
    | spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f1150,f92]) ).

fof(f1150,plain,
    ( ! [X7] :
        ( sk_c9 != multiply(X7,sk_c9)
        | sk_c8 != inverse(X7) )
    | spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f102,f92]) ).

fof(f1147,plain,
    ( sk_c9 != inverse(identity)
    | spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f1146,f92]) ).

fof(f1146,plain,
    ( sk_c8 != inverse(identity)
    | spl0_1
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f371,f92]) ).

fof(f1145,plain,
    ( sk_c9 != inverse(inverse(sk_c9))
    | spl0_1
    | ~ spl0_5
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f28,f58,f60,f254,f255,f257,f258,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f285,f286,f256,f289,f35,f7,f21,f32,f34,f36,f37,f42,f15,f13,f11,f14,f38,f102,f371,f373,f76,f514,f517,f529,f513,f738,f16,f832,f852,f829,f853,f826,f17,f728,f856,f788,f785,f859,f860,f861,f862,f864,f865,f867,f868,f870,f871,f872,f873,f875,f876,f878,f879,f881,f882,f883,f884,f886,f887,f889,f890,f892,f893,f894,f895,f896,f897,f898,f899,f50,f912,f916,f854,f935,f936,f937,f938,f939,f940,f941,f942,f943,f944,f927,f947,f948,f928,f950,f953,f954,f949,f929,f962,f913,f972,f975,f976,f917,f982,f985,f986,f934,f851,f855,f10,f24,f45,f4,f6,f1061,f8,f1062,f9,f1063,f18,f1064,f20,f1065,f22,f1066,f23,f1067,f39,f1068,f41,f1069,f43,f1070,f44,f1071,f31,f1073,f1074,f1075,f25,f1076,f27,f1077,f29,f1078,f30,f1079,f92,f272,f1086,f273,f1088,f1060,f1098,f1102,f1103,f1104,f1105,f1106,f1107,f1108,f1109,f1110,f1111,f1112,f1113,f1095,f1116,f1115,f1100,f1119,f1101,f1124,f1125,f1126,f1087,f1132,f1134,f1089,f1135,f1137,f990,f846,f843,f840,f971,f981,f979,f342,f1144]) ).

fof(f1144,plain,
    ( sk_c9 != inverse(inverse(sk_c9))
    | identity != sk_c9
    | spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f372,f92]) ).

fof(f979,plain,
    ( identity = inverse(identity)
    | spl0_1
    | ~ spl0_15 ),
    inference(superposition,[],[f843,f971]) ).

fof(f981,plain,
    ( identity = sk_c5
    | spl0_1
    | ~ spl0_15 ),
    inference(superposition,[],[f917,f1]) ).

fof(f971,plain,
    ( identity = sk_c6
    | spl0_1
    | ~ spl0_15 ),
    inference(superposition,[],[f913,f1]) ).

fof(f1143,plain,
    ( sk_c9 = inverse(identity)
    | spl0_1
    | ~ spl0_9
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f987,f92]) ).

fof(f987,plain,
    ( sk_c8 = inverse(identity)
    | spl0_1
    | ~ spl0_9
    | ~ spl0_15 ),
    inference(superposition,[],[f189,f981]) ).

fof(f840,plain,
    ( identity = sk_c8
    | spl0_1
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f92,f342]) ).

fof(f843,plain,
    ( identity = inverse(sk_c6)
    | spl0_1
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f273,f342]) ).

fof(f846,plain,
    ( identity = inverse(sk_c5)
    | spl0_1
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f272,f342]) ).

fof(f990,plain,
    ( identity = inverse(identity)
    | spl0_1
    | ~ spl0_15 ),
    inference(superposition,[],[f846,f981]) ).

fof(f1137,plain,
    ( ! [X0] : multiply(sk_c9,multiply(sk_c6,X0)) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f1136,f1]) ).

fof(f1136,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c6,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f1089]) ).

fof(f1135,plain,
    ( sk_c6 = multiply(inverse(sk_c9),identity)
    | spl0_1 ),
    inference(superposition,[],[f76,f1089]) ).

fof(f1089,plain,
    ( identity = multiply(sk_c9,sk_c6)
    | spl0_1 ),
    inference(superposition,[],[f2,f273]) ).

fof(f1134,plain,
    ( ! [X0] : multiply(sk_c9,multiply(sk_c5,X0)) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f1133,f1]) ).

fof(f1133,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c5,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f1087]) ).

fof(f1132,plain,
    ( sk_c5 = multiply(inverse(sk_c9),identity)
    | spl0_1 ),
    inference(superposition,[],[f76,f1087]) ).

fof(f1087,plain,
    ( identity = multiply(sk_c9,sk_c5)
    | spl0_1 ),
    inference(superposition,[],[f2,f272]) ).

fof(f1126,plain,
    ( sk_c9 = multiply(sk_c9,identity)
    | spl0_1 ),
    inference(superposition,[],[f1101,f1125]) ).

fof(f1125,plain,
    ( identity = sk_c7
    | spl0_1 ),
    inference(forward_demodulation,[],[f1123,f2]) ).

fof(f1123,plain,
    ( sk_c7 = multiply(inverse(sk_c9),sk_c9)
    | spl0_1 ),
    inference(superposition,[],[f76,f1101]) ).

fof(f1124,plain,
    ( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c9,multiply(sk_c7,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f1101]) ).

fof(f1101,plain,
    ( sk_c9 = multiply(sk_c9,sk_c7)
    | spl0_1 ),
    inference(forward_demodulation,[],[f1062,f92]) ).

fof(f1119,plain,
    ( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c5,multiply(sk_c9,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f1100]) ).

fof(f1122,plain,
    ( sk_c9 = multiply(sk_c9,sk_c9)
    | spl0_1
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1121,f92]) ).

fof(f1121,plain,
    ( sk_c9 = multiply(sk_c8,sk_c9)
    | spl0_1
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1118,f189]) ).

fof(f1118,plain,
    ( sk_c9 = multiply(inverse(sk_c5),sk_c9)
    | spl0_1 ),
    inference(superposition,[],[f76,f1100]) ).

fof(f1120,plain,
    ( sk_c9 = multiply(sk_c9,sk_c9)
    | spl0_1
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1117,f92]) ).

fof(f1117,plain,
    ( sk_c9 = multiply(sk_c8,sk_c9)
    | spl0_1
    | ~ spl0_9 ),
    inference(superposition,[],[f308,f1100]) ).

fof(f1100,plain,
    ( sk_c9 = multiply(sk_c5,sk_c9)
    | spl0_1 ),
    inference(forward_demodulation,[],[f1061,f92]) ).

fof(f1115,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c6,multiply(sk_c9,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f1095]) ).

fof(f1116,plain,
    ( sk_c9 = multiply(sk_c9,sk_c7)
    | spl0_1 ),
    inference(forward_demodulation,[],[f1114,f273]) ).

fof(f1114,plain,
    ( sk_c9 = multiply(inverse(sk_c6),sk_c7)
    | spl0_1 ),
    inference(superposition,[],[f76,f1095]) ).

fof(f1095,plain,
    ( sk_c7 = multiply(sk_c6,sk_c9)
    | spl0_1 ),
    inference(forward_demodulation,[],[f851,f92]) ).

fof(f1113,plain,
    ( sk_c7 = multiply(sk_c6,sk_c9)
    | spl0_1 ),
    inference(forward_demodulation,[],[f1079,f92]) ).

fof(f1112,plain,
    ( sk_c9 = multiply(sk_c9,sk_c7)
    | spl0_1 ),
    inference(forward_demodulation,[],[f1078,f92]) ).

fof(f1111,plain,
    ( sk_c9 = multiply(sk_c5,sk_c9)
    | spl0_1 ),
    inference(forward_demodulation,[],[f1077,f92]) ).

fof(f1110,plain,
    ( sk_c9 = multiply(sk_c5,sk_c9)
    | spl0_1 ),
    inference(forward_demodulation,[],[f1074,f92]) ).

fof(f1109,plain,
    ( sk_c9 = multiply(sk_c9,sk_c7)
    | spl0_1 ),
    inference(forward_demodulation,[],[f1073,f92]) ).

fof(f1108,plain,
    ( sk_c7 = multiply(sk_c6,sk_c9)
    | spl0_1 ),
    inference(forward_demodulation,[],[f1071,f92]) ).

fof(f1107,plain,
    ( sk_c9 = multiply(sk_c9,sk_c7)
    | spl0_1 ),
    inference(forward_demodulation,[],[f1070,f92]) ).

fof(f1106,plain,
    ( sk_c9 = multiply(sk_c5,sk_c9)
    | spl0_1 ),
    inference(forward_demodulation,[],[f1069,f92]) ).

fof(f1105,plain,
    ( sk_c7 = multiply(sk_c6,sk_c9)
    | spl0_1 ),
    inference(forward_demodulation,[],[f1067,f92]) ).

fof(f1104,plain,
    ( sk_c9 = multiply(sk_c9,sk_c7)
    | spl0_1 ),
    inference(forward_demodulation,[],[f1066,f92]) ).

fof(f1103,plain,
    ( sk_c9 = multiply(sk_c5,sk_c9)
    | spl0_1 ),
    inference(forward_demodulation,[],[f1065,f92]) ).

fof(f1102,plain,
    ( sk_c7 = multiply(sk_c6,sk_c9)
    | spl0_1 ),
    inference(forward_demodulation,[],[f1063,f92]) ).

fof(f1098,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c10,X0)) = multiply(sk_c9,X0)
    | spl0_1 ),
    inference(superposition,[],[f3,f1060]) ).

fof(f1060,plain,
    ( sk_c9 = multiply(sk_c4,sk_c10)
    | spl0_1 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f30,f29,f27,f25,f31,f28,f58,f60,f254,f255,f257,f258,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f92,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f272,f285,f273,f286,f256,f289,f35,f7,f21,f32,f34,f36,f37,f42,f15,f13,f11,f14,f38,f76,f514,f517,f529,f513,f16,f17,f50,f851,f855,f10,f24,f45,f4]) ).

fof(f1088,plain,
    ( ! [X0] : multiply(sk_c9,multiply(sk_c6,X0)) = X0
    | spl0_1 ),
    inference(superposition,[],[f76,f273]) ).

fof(f273,plain,
    ( sk_c9 = inverse(sk_c6)
    | spl0_1 ),
    inference(forward_demodulation,[],[f60,f92]) ).

fof(f1086,plain,
    ( ! [X0] : multiply(sk_c9,multiply(sk_c5,X0)) = X0
    | spl0_1 ),
    inference(superposition,[],[f76,f272]) ).

fof(f272,plain,
    ( sk_c9 = inverse(sk_c5)
    | spl0_1 ),
    inference(forward_demodulation,[],[f58,f92]) ).

fof(f1081,plain,
    ( identity = multiply(sk_c9,sk_c5)
    | spl0_1
    | ~ spl0_9 ),
    inference(superposition,[],[f304,f92]) ).

fof(f1080,plain,
    ( ! [X0] : multiply(sk_c9,multiply(sk_c5,X0)) = X0
    | spl0_1
    | ~ spl0_9 ),
    inference(superposition,[],[f308,f92]) ).

fof(f92,plain,
    ( sk_c9 = sk_c8
    | spl0_1 ),
    inference(forward_demodulation,[],[f90,f64]) ).

fof(f90,plain,
    ( sk_c8 = multiply(sk_c8,sk_c7)
    | spl0_1 ),
    inference(superposition,[],[f81,f65]) ).

fof(f1079,plain,
    ( sk_c7 = multiply(sk_c6,sk_c8)
    | spl0_1 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f28,f58,f60,f254,f255,f257,f258,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f285,f286,f256,f289,f35,f7,f21,f32,f34,f36,f37,f42,f15,f13,f11,f14,f38,f76,f514,f517,f529,f513,f16,f17,f50,f851,f855,f10,f24,f45,f4,f1060,f6,f1061,f8,f1062,f9,f1063,f18,f1064,f20,f1065,f22,f1066,f23,f1067,f39,f1068,f41,f1069,f43,f1070,f44,f1071,f31,f272,f273,f92,f1073,f1074,f1075,f25,f1076,f27,f1077,f29,f1078,f30]) ).

fof(f1078,plain,
    ( sk_c9 = multiply(sk_c8,sk_c7)
    | spl0_1 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f30,f28,f58,f60,f254,f255,f257,f258,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f285,f286,f256,f289,f35,f7,f21,f32,f34,f36,f37,f42,f15,f13,f11,f14,f38,f76,f514,f517,f529,f513,f16,f17,f50,f851,f855,f10,f24,f45,f4,f1060,f6,f1061,f8,f1062,f9,f1063,f18,f1064,f20,f1065,f22,f1066,f23,f1067,f39,f1068,f41,f1069,f43,f1070,f44,f1071,f31,f272,f273,f92,f1073,f1074,f1075,f25,f1076,f27,f1077,f29]) ).

fof(f1077,plain,
    ( sk_c9 = multiply(sk_c5,sk_c8)
    | spl0_1 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f30,f29,f28,f58,f60,f254,f255,f257,f258,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f285,f286,f256,f289,f35,f7,f21,f32,f34,f36,f37,f42,f15,f13,f11,f14,f38,f76,f514,f517,f529,f513,f16,f17,f50,f851,f855,f10,f24,f45,f4,f1060,f6,f1061,f8,f1062,f9,f1063,f18,f1064,f20,f1065,f22,f1066,f23,f1067,f39,f1068,f41,f1069,f43,f1070,f44,f1071,f31,f272,f273,f92,f1073,f1074,f1075,f25,f1076,f27]) ).

fof(f1076,plain,
    ( sk_c9 = multiply(sk_c4,sk_c10)
    | spl0_1 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f30,f29,f27,f28,f58,f60,f254,f255,f257,f258,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f285,f286,f256,f289,f35,f7,f21,f32,f34,f36,f37,f42,f15,f13,f11,f14,f38,f76,f514,f517,f529,f513,f16,f17,f50,f851,f855,f10,f24,f45,f4,f1060,f6,f1061,f8,f1062,f9,f1063,f18,f1064,f20,f1065,f22,f1066,f23,f1067,f39,f1068,f41,f1069,f43,f1070,f44,f1071,f31,f272,f273,f92,f1073,f1074,f1075,f25]) ).

fof(f1075,plain,
    ( sk_c9 = multiply(sk_c4,sk_c10)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f11,f50]) ).

fof(f1074,plain,
    ( sk_c9 = multiply(sk_c5,sk_c8)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f13,f50]) ).

fof(f1073,plain,
    ( sk_c9 = multiply(sk_c8,sk_c7)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f15,f50]) ).

fof(f1071,plain,
    ( sk_c7 = multiply(sk_c6,sk_c8)
    | spl0_1 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f30,f29,f27,f25,f31,f28,f58,f60,f254,f255,f257,f258,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f92,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f272,f285,f273,f286,f256,f289,f35,f7,f21,f32,f34,f36,f37,f42,f15,f13,f11,f14,f38,f76,f514,f517,f529,f513,f16,f17,f50,f851,f855,f10,f24,f45,f4,f1060,f6,f1061,f8,f1062,f9,f1063,f18,f1064,f20,f1065,f22,f1066,f23,f1067,f39,f1068,f41,f1069,f43,f1070,f44]) ).

fof(f1070,plain,
    ( sk_c9 = multiply(sk_c8,sk_c7)
    | spl0_1 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f30,f29,f27,f25,f31,f28,f58,f60,f254,f255,f257,f258,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f92,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f272,f285,f273,f286,f256,f289,f35,f7,f21,f32,f34,f36,f37,f42,f15,f13,f11,f14,f38,f76,f514,f517,f529,f513,f16,f17,f50,f851,f855,f10,f24,f45,f4,f1060,f6,f1061,f8,f1062,f9,f1063,f18,f1064,f20,f1065,f22,f1066,f23,f1067,f39,f1068,f41,f1069,f43]) ).

fof(f1069,plain,
    ( sk_c9 = multiply(sk_c5,sk_c8)
    | spl0_1 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f30,f29,f27,f25,f31,f28,f58,f60,f254,f255,f257,f258,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f92,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f272,f285,f273,f286,f256,f289,f35,f7,f21,f32,f34,f36,f37,f42,f15,f13,f11,f14,f38,f76,f514,f517,f529,f513,f16,f17,f50,f851,f855,f10,f24,f45,f4,f1060,f6,f1061,f8,f1062,f9,f1063,f18,f1064,f20,f1065,f22,f1066,f23,f1067,f39,f1068,f41]) ).

fof(f1068,plain,
    ( sk_c9 = multiply(sk_c4,sk_c10)
    | spl0_1 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f30,f29,f27,f25,f31,f28,f58,f60,f254,f255,f257,f258,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f92,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f272,f285,f273,f286,f256,f289,f35,f7,f21,f32,f34,f36,f37,f42,f15,f13,f11,f14,f38,f76,f514,f517,f529,f513,f16,f17,f50,f851,f855,f10,f24,f45,f4,f1060,f6,f1061,f8,f1062,f9,f1063,f18,f1064,f20,f1065,f22,f1066,f23,f1067,f39]) ).

fof(f1067,plain,
    ( sk_c7 = multiply(sk_c6,sk_c8)
    | spl0_1 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f30,f29,f27,f25,f31,f28,f58,f60,f254,f255,f257,f258,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f92,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f272,f285,f273,f286,f256,f289,f35,f7,f21,f32,f34,f36,f37,f42,f15,f13,f11,f14,f38,f76,f514,f517,f529,f513,f16,f17,f50,f851,f855,f10,f24,f45,f4,f1060,f6,f1061,f8,f1062,f9,f1063,f18,f1064,f20,f1065,f22,f1066,f23]) ).

fof(f1066,plain,
    ( sk_c9 = multiply(sk_c8,sk_c7)
    | spl0_1 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f30,f29,f27,f25,f31,f28,f58,f60,f254,f255,f257,f258,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f92,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f272,f285,f273,f286,f256,f289,f35,f7,f21,f32,f34,f36,f37,f42,f15,f13,f11,f14,f38,f76,f514,f517,f529,f513,f16,f17,f50,f851,f855,f10,f24,f45,f4,f1060,f6,f1061,f8,f1062,f9,f1063,f18,f1064,f20,f1065,f22]) ).

fof(f1065,plain,
    ( sk_c9 = multiply(sk_c5,sk_c8)
    | spl0_1 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f30,f29,f27,f25,f31,f28,f58,f60,f254,f255,f257,f258,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f92,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f272,f285,f273,f286,f256,f289,f35,f7,f21,f32,f34,f36,f37,f42,f15,f13,f11,f14,f38,f76,f514,f517,f529,f513,f16,f17,f50,f851,f855,f10,f24,f45,f4,f1060,f6,f1061,f8,f1062,f9,f1063,f18,f1064,f20]) ).

fof(f1064,plain,
    ( sk_c9 = multiply(sk_c4,sk_c10)
    | spl0_1 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f20,f30,f29,f27,f25,f31,f28,f58,f60,f254,f255,f257,f258,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f92,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f272,f285,f273,f286,f256,f289,f35,f7,f21,f32,f34,f36,f37,f42,f15,f13,f11,f14,f38,f76,f514,f517,f529,f513,f16,f17,f50,f851,f855,f10,f24,f45,f4,f1060,f6,f1061,f8,f1062,f9,f1063,f18]) ).

fof(f1063,plain,
    ( sk_c7 = multiply(sk_c6,sk_c8)
    | spl0_1 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f20,f18,f30,f29,f27,f25,f31,f28,f58,f60,f254,f255,f257,f258,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f92,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f272,f285,f273,f286,f256,f289,f35,f7,f21,f32,f34,f36,f37,f42,f15,f13,f11,f14,f38,f76,f514,f517,f529,f513,f16,f17,f50,f851,f855,f10,f24,f45,f4,f1060,f6,f1061,f8,f1062,f9]) ).

fof(f1062,plain,
    ( sk_c9 = multiply(sk_c8,sk_c7)
    | spl0_1 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f20,f18,f9,f30,f29,f27,f25,f31,f28,f58,f60,f254,f255,f257,f258,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f92,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f272,f285,f273,f286,f256,f289,f35,f7,f21,f32,f34,f36,f37,f42,f15,f13,f11,f14,f38,f76,f514,f517,f529,f513,f16,f17,f50,f851,f855,f10,f24,f45,f4,f1060,f6,f1061,f8]) ).

fof(f1061,plain,
    ( sk_c9 = multiply(sk_c5,sk_c8)
    | spl0_1 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f30,f29,f27,f25,f31,f28,f58,f60,f254,f255,f257,f258,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f92,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f272,f285,f273,f286,f256,f289,f35,f7,f21,f32,f34,f36,f37,f42,f15,f13,f11,f14,f38,f76,f514,f517,f529,f513,f16,f17,f50,f851,f855,f10,f24,f45,f4,f1060,f6]) ).

fof(f855,plain,
    ( sk_c8 = inverse(sk_c6)
    | spl0_1 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f31,f28,f58,f60,f254,f255,f257,f258,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f92,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f272,f285,f273,f286,f256,f289,f35,f7,f10,f21,f24,f32,f34,f36,f37,f42,f45,f15,f13,f11,f14,f38,f76,f514,f517,f529,f513,f50,f16,f851,f17]) ).

fof(f851,plain,
    ( sk_c7 = multiply(sk_c6,sk_c8)
    | spl0_1 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f31,f28,f58,f60,f254,f255,f257,f258,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f92,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f272,f285,f273,f286,f256,f289,f35,f7,f10,f21,f24,f32,f34,f36,f37,f42,f45,f15,f13,f11,f17,f14,f38,f76,f514,f517,f529,f513,f50,f16]) ).

fof(f934,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c10,X0)) = X0
    | spl0_1
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f932,f1]) ).

fof(f932,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c4,multiply(sk_c10,X0))
    | spl0_1
    | ~ spl0_15 ),
    inference(superposition,[],[f3,f854]) ).

fof(f986,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c5,X0)) = X0
    | spl0_1
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f984,f1]) ).

fof(f984,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(identity,multiply(sk_c5,X0))
    | spl0_1
    | ~ spl0_15 ),
    inference(superposition,[],[f3,f917]) ).

fof(f985,plain,
    ( identity = sk_c5
    | spl0_1
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f983,f2]) ).

fof(f983,plain,
    ( sk_c5 = multiply(inverse(identity),identity)
    | spl0_1
    | ~ spl0_15 ),
    inference(superposition,[],[f76,f917]) ).

fof(f982,plain,
    ( identity = sk_c5
    | spl0_1
    | ~ spl0_15 ),
    inference(superposition,[],[f1,f917]) ).

fof(f917,plain,
    ( identity = multiply(identity,sk_c5)
    | spl0_1
    | ~ spl0_15 ),
    inference(superposition,[],[f2,f846]) ).

fof(f976,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c6,X0)) = X0
    | spl0_1
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f974,f1]) ).

fof(f974,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(identity,multiply(sk_c6,X0))
    | spl0_1
    | ~ spl0_15 ),
    inference(superposition,[],[f3,f913]) ).

fof(f975,plain,
    ( identity = sk_c6
    | spl0_1
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f973,f2]) ).

fof(f973,plain,
    ( sk_c6 = multiply(inverse(identity),identity)
    | spl0_1
    | ~ spl0_15 ),
    inference(superposition,[],[f76,f913]) ).

fof(f972,plain,
    ( identity = sk_c6
    | spl0_1
    | ~ spl0_15 ),
    inference(superposition,[],[f1,f913]) ).

fof(f913,plain,
    ( identity = multiply(identity,sk_c6)
    | spl0_1
    | ~ spl0_15 ),
    inference(superposition,[],[f2,f843]) ).

fof(f962,plain,
    ( ! [X0] : multiply(sk_c5,X0) = X0
    | spl0_1
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f958,f1]) ).

fof(f958,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(identity,X0))
    | spl0_1
    | ~ spl0_15 ),
    inference(superposition,[],[f3,f929]) ).

fof(f929,plain,
    ( identity = multiply(sk_c5,identity)
    | spl0_1
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f853,f840]) ).

fof(f949,plain,
    ( identity = sk_c7
    | spl0_1
    | ~ spl0_15 ),
    inference(superposition,[],[f928,f1]) ).

fof(f954,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c7,X0)) = X0
    | spl0_1
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f952,f1]) ).

fof(f952,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(identity,multiply(sk_c7,X0))
    | spl0_1
    | ~ spl0_15 ),
    inference(superposition,[],[f3,f928]) ).

fof(f953,plain,
    ( identity = sk_c7
    | spl0_1
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f951,f2]) ).

fof(f951,plain,
    ( sk_c7 = multiply(inverse(identity),identity)
    | spl0_1
    | ~ spl0_15 ),
    inference(superposition,[],[f76,f928]) ).

fof(f950,plain,
    ( identity = sk_c7
    | spl0_1
    | ~ spl0_15 ),
    inference(superposition,[],[f1,f928]) ).

fof(f928,plain,
    ( identity = multiply(identity,sk_c7)
    | spl0_1
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f852,f840]) ).

fof(f948,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c6,X0)
    | spl0_1
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f946,f1]) ).

fof(f946,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c6,multiply(identity,X0))
    | spl0_1
    | ~ spl0_15 ),
    inference(superposition,[],[f3,f927]) ).

fof(f947,plain,
    ( identity = multiply(identity,sk_c7)
    | spl0_1
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f945,f843]) ).

fof(f945,plain,
    ( identity = multiply(inverse(sk_c6),sk_c7)
    | spl0_1
    | ~ spl0_15 ),
    inference(superposition,[],[f76,f927]) ).

fof(f927,plain,
    ( sk_c7 = multiply(sk_c6,identity)
    | spl0_1
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f851,f840]) ).

fof(f944,plain,
    ( identity = multiply(sk_c5,identity)
    | spl0_1
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f890,f840]) ).

fof(f943,plain,
    ( identity = multiply(identity,sk_c7)
    | spl0_1
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f887,f840]) ).

fof(f942,plain,
    ( sk_c7 = multiply(sk_c6,identity)
    | spl0_1
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f884,f840]) ).

fof(f941,plain,
    ( identity = multiply(sk_c5,identity)
    | spl0_1
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f879,f840]) ).

fof(f940,plain,
    ( identity = multiply(identity,sk_c7)
    | spl0_1
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f876,f840]) ).

fof(f939,plain,
    ( sk_c7 = multiply(sk_c6,identity)
    | spl0_1
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f873,f840]) ).

fof(f938,plain,
    ( identity = multiply(sk_c5,identity)
    | spl0_1
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f868,f840]) ).

fof(f937,plain,
    ( identity = multiply(identity,sk_c7)
    | spl0_1
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f865,f840]) ).

fof(f936,plain,
    ( sk_c7 = multiply(sk_c6,identity)
    | spl0_1
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f862,f840]) ).

fof(f935,plain,
    ( sk_c7 = multiply(sk_c6,identity)
    | spl0_1
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f856,f840]) ).

fof(f854,plain,
    ( identity = multiply(sk_c4,sk_c10)
    | spl0_1
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f31,f28,f58,f60,f254,f255,f257,f258,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f92,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f272,f285,f273,f286,f256,f289,f35,f7,f10,f21,f24,f32,f34,f36,f37,f42,f45,f15,f13,f11,f17,f14,f38,f76,f514,f517,f529,f342,f513,f738,f785,f788,f728,f50,f846,f843,f840,f16,f851,f832,f852,f829,f853,f826]) ).

fof(f916,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c5,X0)) = X0
    | spl0_1
    | ~ spl0_15 ),
    inference(superposition,[],[f76,f846]) ).

fof(f912,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c6,X0)) = X0
    | spl0_1
    | ~ spl0_15 ),
    inference(superposition,[],[f76,f843]) ).

fof(f50,plain,
    ( sk_c10 != inverse(sk_c1)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f49]) ).

fof(f908,plain,
    ( identity = multiply(identity,sk_c5)
    | spl0_1
    | ~ spl0_9
    | ~ spl0_15 ),
    inference(superposition,[],[f304,f840]) ).

fof(f907,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c5,X0)) = X0
    | spl0_1
    | ~ spl0_9
    | ~ spl0_15 ),
    inference(superposition,[],[f308,f840]) ).

fof(f899,plain,
    ( sk_c8 = inverse(sk_c6)
    | spl0_1
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f898,f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f31,f28,f58,f60,f254,f255,f257,f258,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f92,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f272,f285,f273,f286,f256,f289,f35,f7,f10,f21,f24,f32,f34,f36,f37,f42,f45,f15,f13,f11,f14,f38,f76,f514,f517,f529,f513,f50,f16,f851,f17,f855]) ).

fof(f897,plain,
    ( sk_c8 = inverse(sk_c6)
    | spl0_1
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f896,f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f31,f28,f58,f60,f254,f255,f257,f258,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f92,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f272,f285,f273,f286,f256,f289,f35,f7,f10,f21,f24,f32,f34,f36,f37,f42,f45,f15,f13,f11,f14,f38,f76,f514,f517,f529,f513,f50,f16,f851,f17,f855]) ).

fof(f895,plain,
    ( sk_c8 = inverse(sk_c6)
    | spl0_1
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f894,f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f31,f28,f58,f60,f254,f255,f257,f258,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f92,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f272,f285,f273,f286,f256,f289,f35,f7,f10,f21,f24,f32,f34,f36,f37,f42,f45,f15,f13,f11,f14,f38,f76,f514,f517,f529,f513,f50,f16,f851,f17,f855]) ).

fof(f893,plain,
    ( identity = multiply(sk_c4,sk_c10)
    | spl0_1
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f31,f28,f58,f60,f254,f255,f257,f258,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f92,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f272,f285,f273,f286,f256,f289,f35,f7,f10,f21,f24,f32,f34,f36,f37,f42,f45,f15,f13,f11,f14,f38,f76,f514,f517,f529,f342,f513,f738,f50,f846,f843,f840,f16,f851,f832,f852,f829,f853,f826,f854,f17,f855,f728,f856,f788,f785,f859,f860,f861,f862,f864,f865,f867,f868,f870,f871,f872,f873,f875,f876,f878,f879,f881,f882,f883,f884,f886,f887,f889,f890,f892]) ).

fof(f890,plain,
    ( identity = multiply(sk_c5,sk_c8)
    | spl0_1
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f31,f28,f58,f60,f254,f255,f257,f258,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f92,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f272,f285,f273,f286,f256,f289,f35,f7,f10,f21,f24,f32,f34,f36,f37,f42,f45,f15,f13,f11,f14,f38,f76,f514,f517,f529,f342,f513,f738,f50,f846,f843,f840,f16,f851,f832,f852,f829,f853,f826,f854,f17,f855,f728,f856,f788,f785,f859,f860,f861,f862,f864,f865,f867,f868,f870,f871,f872,f873,f875,f876,f878,f879,f881,f882,f883,f884,f886,f887,f889]) ).

fof(f887,plain,
    ( identity = multiply(sk_c8,sk_c7)
    | spl0_1
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f31,f28,f58,f60,f254,f255,f257,f258,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f92,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f272,f285,f273,f286,f256,f289,f35,f7,f10,f21,f24,f32,f34,f36,f37,f42,f45,f15,f13,f11,f14,f38,f76,f514,f517,f529,f342,f513,f738,f50,f846,f843,f840,f16,f851,f832,f852,f829,f853,f826,f854,f17,f855,f728,f856,f788,f785,f859,f860,f861,f862,f864,f865,f867,f868,f870,f871,f872,f873,f875,f876,f878,f879,f881,f882,f883,f884,f886]) ).

fof(f884,plain,
    ( sk_c7 = multiply(sk_c6,sk_c8)
    | spl0_1
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f883,f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f31,f28,f58,f60,f254,f255,f257,f258,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f92,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f272,f285,f273,f286,f256,f289,f35,f7,f10,f21,f24,f32,f34,f36,f37,f42,f45,f15,f13,f11,f14,f38,f76,f514,f517,f529,f513,f50,f16,f851,f17,f855]) ).

fof(f882,plain,
    ( identity = multiply(sk_c4,sk_c10)
    | spl0_1
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f31,f28,f58,f60,f254,f255,f257,f258,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f92,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f272,f285,f273,f286,f256,f289,f35,f7,f10,f21,f24,f32,f34,f36,f37,f42,f45,f15,f13,f11,f14,f38,f76,f514,f517,f529,f342,f513,f738,f50,f846,f843,f840,f16,f851,f832,f852,f829,f853,f826,f854,f17,f855,f728,f856,f788,f785,f859,f860,f861,f862,f864,f865,f867,f868,f870,f871,f872,f873,f875,f876,f878,f879,f881]) ).

fof(f879,plain,
    ( identity = multiply(sk_c5,sk_c8)
    | spl0_1
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f31,f28,f58,f60,f254,f255,f257,f258,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f92,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f272,f285,f273,f286,f256,f289,f35,f7,f10,f21,f24,f32,f34,f36,f37,f42,f45,f15,f13,f11,f14,f38,f76,f514,f517,f529,f342,f513,f738,f50,f846,f843,f840,f16,f851,f832,f852,f829,f853,f826,f854,f17,f855,f728,f856,f788,f785,f859,f860,f861,f862,f864,f865,f867,f868,f870,f871,f872,f873,f875,f876,f878]) ).

fof(f876,plain,
    ( identity = multiply(sk_c8,sk_c7)
    | spl0_1
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f31,f28,f58,f60,f254,f255,f257,f258,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f92,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f272,f285,f273,f286,f256,f289,f35,f7,f10,f21,f24,f32,f34,f36,f37,f42,f45,f15,f13,f11,f14,f38,f76,f514,f517,f529,f342,f513,f738,f50,f846,f843,f840,f16,f851,f832,f852,f829,f853,f826,f854,f17,f855,f728,f856,f788,f785,f859,f860,f861,f862,f864,f865,f867,f868,f870,f871,f872,f873,f875]) ).

fof(f873,plain,
    ( sk_c7 = multiply(sk_c6,sk_c8)
    | spl0_1
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f872,f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f31,f28,f58,f60,f254,f255,f257,f258,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f92,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f272,f285,f273,f286,f256,f289,f35,f7,f10,f21,f24,f32,f34,f36,f37,f42,f45,f15,f13,f11,f14,f38,f76,f514,f517,f529,f513,f50,f16,f851,f17,f855]) ).

fof(f871,plain,
    ( identity = multiply(sk_c4,sk_c10)
    | spl0_1
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f31,f28,f58,f60,f254,f255,f257,f258,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f92,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f272,f285,f273,f286,f256,f289,f35,f7,f10,f21,f24,f32,f34,f36,f37,f42,f45,f15,f13,f11,f14,f38,f76,f514,f517,f529,f342,f513,f738,f50,f846,f843,f840,f16,f851,f832,f852,f829,f853,f826,f854,f17,f855,f728,f856,f788,f785,f859,f860,f861,f862,f864,f865,f867,f868,f870]) ).

fof(f868,plain,
    ( identity = multiply(sk_c5,sk_c8)
    | spl0_1
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f31,f28,f58,f60,f254,f255,f257,f258,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f92,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f272,f285,f273,f286,f256,f289,f35,f7,f10,f21,f24,f32,f34,f36,f37,f42,f45,f15,f13,f11,f14,f38,f76,f514,f517,f529,f342,f513,f738,f50,f846,f843,f840,f16,f851,f832,f852,f829,f853,f826,f854,f17,f855,f728,f856,f788,f785,f859,f860,f861,f862,f864,f865,f867]) ).

fof(f865,plain,
    ( identity = multiply(sk_c8,sk_c7)
    | spl0_1
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f31,f28,f58,f60,f254,f255,f257,f258,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f92,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f272,f285,f273,f286,f256,f289,f35,f7,f10,f21,f24,f32,f34,f36,f37,f42,f45,f15,f13,f11,f14,f38,f76,f514,f517,f529,f342,f513,f738,f50,f846,f843,f840,f16,f851,f832,f852,f829,f853,f826,f854,f17,f855,f728,f856,f788,f785,f859,f860,f861,f862,f864]) ).

fof(f862,plain,
    ( sk_c7 = multiply(sk_c6,sk_c8)
    | spl0_1
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f861,f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f31,f28,f58,f60,f254,f255,f257,f258,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f92,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f272,f285,f273,f286,f256,f289,f35,f7,f10,f21,f24,f32,f34,f36,f37,f42,f45,f15,f13,f11,f14,f38,f76,f514,f517,f529,f513,f50,f16,f851,f17,f855]) ).

fof(f860,plain,
    ( sk_c8 = inverse(sk_c6)
    | spl0_1
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f859,f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f31,f28,f58,f60,f254,f255,f257,f258,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f92,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f272,f285,f273,f286,f256,f289,f35,f7,f10,f21,f24,f32,f34,f36,f37,f42,f45,f15,f13,f11,f14,f38,f76,f514,f517,f529,f513,f50,f16,f851,f17,f855]) ).

fof(f856,plain,
    ( sk_c7 = multiply(sk_c6,sk_c8)
    | spl0_1
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f728,f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f31,f28,f58,f60,f254,f255,f257,f258,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f92,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f272,f285,f273,f286,f256,f289,f35,f7,f10,f21,f24,f32,f34,f36,f37,f42,f45,f15,f13,f11,f14,f38,f76,f514,f517,f529,f513,f50,f16,f851,f17,f855]) ).

fof(f853,plain,
    ( identity = multiply(sk_c5,sk_c8)
    | spl0_1
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f31,f28,f58,f60,f254,f255,f257,f258,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f92,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f272,f285,f273,f286,f256,f289,f35,f7,f10,f21,f24,f32,f34,f36,f37,f42,f45,f15,f13,f11,f17,f14,f38,f76,f514,f517,f529,f342,f513,f738,f785,f788,f728,f826,f50,f846,f843,f840,f16,f851,f832,f852,f829]) ).

fof(f852,plain,
    ( identity = multiply(sk_c8,sk_c7)
    | spl0_1
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f31,f28,f58,f60,f254,f255,f257,f258,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f92,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f272,f285,f273,f286,f256,f289,f35,f7,f10,f21,f24,f32,f34,f36,f37,f42,f45,f15,f13,f11,f17,f14,f38,f76,f514,f517,f529,f342,f513,f738,f785,f788,f728,f826,f829,f50,f846,f843,f840,f16,f851,f832]) ).

fof(f289,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c10,X0)) = multiply(sk_c9,X0)
    | spl0_1 ),
    inference(superposition,[],[f3,f256]) ).

fof(f256,plain,
    ( sk_c9 = multiply(sk_c4,sk_c10)
    | spl0_1 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f76,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f45,f42,f37,f36,f34,f32,f30,f29,f27,f25,f24,f21,f10,f7,f38,f35,f31,f28,f16,f15,f13,f50,f58,f60,f92,f14,f254,f17,f255,f11]) ).

fof(f286,plain,
    ( identity = multiply(sk_c9,sk_c6)
    | spl0_1 ),
    inference(superposition,[],[f2,f273]) ).

fof(f285,plain,
    ( identity = multiply(sk_c9,sk_c5)
    | spl0_1 ),
    inference(superposition,[],[f2,f272]) ).

fof(f284,plain,
    ( sk_c9 = inverse(sk_c5)
    | spl0_1 ),
    inference(forward_demodulation,[],[f271,f92]) ).

fof(f283,plain,
    ( sk_c9 = inverse(sk_c6)
    | spl0_1 ),
    inference(forward_demodulation,[],[f270,f92]) ).

fof(f282,plain,
    ( sk_c9 = inverse(sk_c5)
    | spl0_1 ),
    inference(forward_demodulation,[],[f269,f92]) ).

fof(f281,plain,
    ( sk_c9 = inverse(sk_c6)
    | spl0_1 ),
    inference(forward_demodulation,[],[f268,f92]) ).

fof(f280,plain,
    ( sk_c9 = inverse(sk_c5)
    | spl0_1 ),
    inference(forward_demodulation,[],[f267,f92]) ).

fof(f279,plain,
    ( sk_c9 = inverse(sk_c6)
    | spl0_1 ),
    inference(forward_demodulation,[],[f266,f92]) ).

fof(f278,plain,
    ( sk_c9 = inverse(sk_c5)
    | spl0_1 ),
    inference(forward_demodulation,[],[f261,f92]) ).

fof(f277,plain,
    ( sk_c9 = inverse(sk_c6)
    | spl0_1 ),
    inference(forward_demodulation,[],[f260,f92]) ).

fof(f276,plain,
    ( sk_c9 = inverse(sk_c6)
    | spl0_1 ),
    inference(forward_demodulation,[],[f255,f92]) ).

fof(f275,plain,
    ( sk_c9 = inverse(sk_c5)
    | spl0_1 ),
    inference(forward_demodulation,[],[f254,f92]) ).

fof(f274,plain,
    ( sk_c9 = inverse(sk_c5)
    | spl0_1
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f189,f92]) ).

fof(f271,plain,
    ( sk_c8 = inverse(sk_c5)
    | spl0_1 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f76,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f31,f28,f50,f58,f60,f92,f14,f254,f17,f255,f11,f256,f13,f257,f15,f258,f16,f259,f45,f260,f42,f261,f37,f262,f36,f263,f34,f264,f32,f265,f24,f266,f21,f267,f10,f268,f7,f269,f38,f270,f35]) ).

fof(f270,plain,
    ( sk_c8 = inverse(sk_c6)
    | spl0_1 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f76,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f35,f31,f28,f50,f58,f60,f92,f14,f254,f17,f255,f11,f256,f13,f257,f15,f258,f16,f259,f45,f260,f42,f261,f37,f262,f36,f263,f34,f264,f32,f265,f24,f266,f21,f267,f10,f268,f7,f269,f38]) ).

fof(f269,plain,
    ( sk_c8 = inverse(sk_c5)
    | spl0_1 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f76,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f38,f35,f31,f28,f50,f58,f60,f92,f14,f254,f17,f255,f11,f256,f13,f257,f15,f258,f16,f259,f45,f260,f42,f261,f37,f262,f36,f263,f34,f264,f32,f265,f24,f266,f21,f267,f10,f268,f7]) ).

fof(f268,plain,
    ( sk_c8 = inverse(sk_c6)
    | spl0_1 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f76,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f7,f38,f35,f31,f28,f50,f58,f60,f92,f14,f254,f17,f255,f11,f256,f13,f257,f15,f258,f16,f259,f45,f260,f42,f261,f37,f262,f36,f263,f34,f264,f32,f265,f24,f266,f21,f267,f10]) ).

fof(f267,plain,
    ( sk_c8 = inverse(sk_c5)
    | spl0_1 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f76,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f10,f7,f38,f35,f31,f28,f50,f58,f60,f92,f14,f254,f17,f255,f11,f256,f13,f257,f15,f258,f16,f259,f45,f260,f42,f261,f37,f262,f36,f263,f34,f264,f32,f265,f24,f266,f21]) ).

fof(f266,plain,
    ( sk_c8 = inverse(sk_c6)
    | spl0_1 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f76,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f21,f10,f7,f38,f35,f31,f28,f50,f58,f60,f92,f14,f254,f17,f255,f11,f256,f13,f257,f15,f258,f16,f259,f45,f260,f42,f261,f37,f262,f36,f263,f34,f264,f32,f265,f24]) ).

fof(f265,plain,
    ( sk_c9 = multiply(sk_c4,sk_c10)
    | spl0_1 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f76,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f24,f21,f10,f7,f38,f35,f31,f28,f50,f58,f60,f92,f14,f254,f17,f255,f11,f256,f13,f257,f15,f258,f16,f259,f45,f260,f42,f261,f37,f262,f36,f263,f34,f264,f32]) ).

fof(f264,plain,
    ( sk_c9 = multiply(sk_c5,sk_c8)
    | spl0_1 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f76,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f32,f30,f29,f27,f25,f24,f21,f10,f7,f38,f35,f31,f28,f50,f58,f60,f92,f14,f254,f17,f255,f11,f256,f13,f257,f15,f258,f16,f259,f45,f260,f42,f261,f37,f262,f36,f263,f34]) ).

fof(f263,plain,
    ( sk_c9 = multiply(sk_c8,sk_c7)
    | spl0_1 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f76,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f34,f32,f30,f29,f27,f25,f24,f21,f10,f7,f38,f35,f31,f28,f50,f58,f60,f92,f14,f254,f17,f255,f11,f256,f13,f257,f15,f258,f16,f259,f45,f260,f42,f261,f37,f262,f36]) ).

fof(f262,plain,
    ( sk_c7 = multiply(sk_c6,sk_c8)
    | spl0_1 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f76,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f36,f34,f32,f30,f29,f27,f25,f24,f21,f10,f7,f38,f35,f31,f28,f50,f58,f60,f92,f14,f254,f17,f255,f11,f256,f13,f257,f15,f258,f16,f259,f45,f260,f42,f261,f37]) ).

fof(f261,plain,
    ( sk_c8 = inverse(sk_c5)
    | spl0_1 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f76,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f37,f36,f34,f32,f30,f29,f27,f25,f24,f21,f10,f7,f38,f35,f31,f28,f50,f58,f60,f92,f14,f254,f17,f255,f11,f256,f13,f257,f15,f258,f16,f259,f45,f260,f42]) ).

fof(f260,plain,
    ( sk_c8 = inverse(sk_c6)
    | spl0_1 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f76,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f42,f37,f36,f34,f32,f30,f29,f27,f25,f24,f21,f10,f7,f38,f35,f31,f28,f50,f58,f60,f92,f14,f254,f17,f255,f11,f256,f13,f257,f15,f258,f16,f259,f45]) ).

fof(f259,plain,
    ( sk_c7 = multiply(sk_c6,sk_c8)
    | spl0_1 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f76,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f45,f42,f37,f36,f34,f32,f30,f29,f27,f25,f24,f21,f10,f7,f38,f35,f31,f28,f50,f58,f60,f92,f14,f254,f17,f255,f11,f256,f13,f257,f15,f258,f16]) ).

fof(f258,plain,
    ( sk_c9 = multiply(sk_c8,sk_c7)
    | spl0_1 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f76,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f45,f42,f37,f36,f34,f32,f30,f29,f27,f25,f24,f21,f10,f7,f38,f35,f31,f28,f16,f50,f58,f60,f92,f14,f254,f17,f255,f11,f256,f13,f257,f15]) ).

fof(f257,plain,
    ( sk_c9 = multiply(sk_c5,sk_c8)
    | spl0_1 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f76,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f45,f42,f37,f36,f34,f32,f30,f29,f27,f25,f24,f21,f10,f7,f38,f35,f31,f28,f16,f15,f50,f58,f60,f92,f14,f254,f17,f255,f11,f256,f13]) ).

fof(f255,plain,
    ( sk_c8 = inverse(sk_c6)
    | spl0_1 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f76,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f45,f42,f37,f36,f34,f32,f30,f29,f27,f25,f24,f21,f10,f7,f38,f35,f31,f28,f16,f15,f13,f11,f50,f58,f60,f92,f14,f254,f17]) ).

fof(f254,plain,
    ( sk_c8 = inverse(sk_c5)
    | spl0_1 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f76,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f45,f42,f37,f36,f34,f32,f30,f29,f27,f25,f24,f21,f10,f7,f38,f35,f31,f28,f16,f15,f13,f11,f17,f50,f58,f60,f92,f14]) ).

fof(f60,plain,
    ( sk_c8 = inverse(sk_c6)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f17,f50]) ).

fof(f58,plain,
    ( sk_c8 = inverse(sk_c5)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f14,f50]) ).

fof(f116,plain,
    ( ! [X0] : multiply(sk_c9,multiply(sk_c6,X0)) = X0
    | spl0_1 ),
    inference(superposition,[],[f81,f92]) ).

fof(f115,plain,
    ( ! [X0] : multiply(sk_c9,multiply(sk_c5,X0)) = X0
    | spl0_1 ),
    inference(superposition,[],[f80,f92]) ).

fof(f128,plain,
    ( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c9,multiply(sk_c9,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f117]) ).

fof(f117,plain,
    ( sk_c9 = multiply(sk_c9,sk_c9)
    | spl0_1 ),
    inference(superposition,[],[f86,f92]) ).

fof(f127,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c6,multiply(sk_c9,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f114]) ).

fof(f114,plain,
    ( sk_c7 = multiply(sk_c6,sk_c9)
    | spl0_1 ),
    inference(superposition,[],[f65,f92]) ).

fof(f125,plain,
    ( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c9,multiply(sk_c7,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f113]) ).

fof(f113,plain,
    ( sk_c9 = multiply(sk_c9,sk_c7)
    | spl0_1 ),
    inference(superposition,[],[f64,f92]) ).

fof(f123,plain,
    ( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c5,multiply(sk_c9,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f112]) ).

fof(f124,plain,
    ( sk_c9 = multiply(sk_c9,sk_c9)
    | spl0_1 ),
    inference(forward_demodulation,[],[f122,f92]) ).

fof(f122,plain,
    ( sk_c9 = multiply(sk_c8,sk_c9)
    | spl0_1 ),
    inference(superposition,[],[f80,f112]) ).

fof(f112,plain,
    ( sk_c9 = multiply(sk_c5,sk_c9)
    | spl0_1 ),
    inference(superposition,[],[f63,f92]) ).

fof(f121,plain,
    ( ! [X0] : multiply(sk_c9,multiply(sk_c6,X0)) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f120,f1]) ).

fof(f120,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c6,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f111]) ).

fof(f111,plain,
    ( identity = multiply(sk_c9,sk_c6)
    | spl0_1 ),
    inference(superposition,[],[f61,f92]) ).

fof(f119,plain,
    ( ! [X0] : multiply(sk_c9,multiply(sk_c5,X0)) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f118,f1]) ).

fof(f118,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c5,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f110]) ).

fof(f110,plain,
    ( identity = multiply(sk_c9,sk_c5)
    | spl0_1 ),
    inference(superposition,[],[f59,f92]) ).

fof(f81,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c6,X0)) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f75,f1]) ).

fof(f75,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c6,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f61]) ).

fof(f89,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c9,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f86]) ).

fof(f86,plain,
    ( sk_c8 = multiply(sk_c8,sk_c9)
    | spl0_1 ),
    inference(superposition,[],[f80,f63]) ).

fof(f80,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f71,f1]) ).

fof(f71,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c5,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f59]) ).

fof(f74,plain,
    ( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c8,multiply(sk_c7,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f64]) ).

fof(f73,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c8,X0)) = multiply(sk_c7,X0)
    | spl0_1 ),
    inference(superposition,[],[f3,f65]) ).

fof(f72,plain,
    ( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c5,multiply(sk_c8,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f63]) ).

fof(f69,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c10,X0)) = multiply(sk_c9,X0)
    | spl0_1 ),
    inference(superposition,[],[f3,f62]) ).

fof(f65,plain,
    ( sk_c7 = multiply(sk_c6,sk_c8)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f16,f50]) ).

fof(f64,plain,
    ( sk_c9 = multiply(sk_c8,sk_c7)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f15,f50]) ).

fof(f63,plain,
    ( sk_c9 = multiply(sk_c5,sk_c8)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f13,f50]) ).

fof(f62,plain,
    ( sk_c9 = multiply(sk_c4,sk_c10)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f11,f50]) ).

fof(f61,plain,
    ( identity = multiply(sk_c8,sk_c6)
    | spl0_1 ),
    inference(superposition,[],[f2,f60]) ).

fof(f59,plain,
    ( identity = multiply(sk_c8,sk_c5)
    | spl0_1 ),
    inference(superposition,[],[f2,f58]) ).

fof(f1149,plain,
    ( spl0_1
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1148]) ).

fof(f1148,plain,
    ( $false
    | spl0_1
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f28,f58,f60,f254,f255,f257,f258,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f274,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f285,f286,f256,f289,f35,f293,f7,f294,f21,f295,f32,f34,f36,f37,f42,f296,f15,f13,f11,f14,f302,f189,f304,f38,f308,f102,f371,f373,f76,f514,f517,f529,f513,f738,f16,f832,f852,f829,f853,f826,f17,f527,f728,f856,f788,f785,f859,f860,f861,f862,f864,f865,f867,f868,f870,f871,f872,f873,f875,f876,f878,f879,f881,f882,f883,f884,f886,f887,f889,f890,f892,f893,f894,f895,f896,f897,f898,f899,f907,f908,f50,f912,f916,f854,f935,f936,f937,f938,f939,f940,f941,f942,f943,f944,f927,f947,f948,f928,f950,f953,f954,f949,f929,f962,f913,f972,f975,f976,f917,f982,f985,f986,f934,f540,f851,f855,f10,f24,f45,f4,f6,f1061,f8,f1062,f9,f1063,f18,f1064,f20,f1065,f22,f1066,f23,f1067,f39,f1068,f41,f1069,f43,f1070,f44,f1071,f31,f1073,f1074,f1075,f25,f1076,f27,f1077,f29,f1078,f30,f1079,f92,f1080,f1081,f272,f1086,f273,f1088,f1060,f1098,f1102,f1103,f1104,f1105,f1106,f1107,f1108,f1109,f1110,f1111,f1112,f1113,f1095,f1116,f1115,f1100,f1120,f1122,f1119,f1101,f1124,f1125,f1126,f1087,f1132,f1134,f1089,f1135,f1137,f990,f846,f843,f840,f1143,f971,f981,f979,f342,f1144,f1145,f1147]) ).

fof(f1142,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1141]) ).

fof(f1141,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_15 ),
    inference(subsumption_resolution,[],[f1140,f343]) ).

fof(f1140,plain,
    ( identity = sk_c9
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1138,f2]) ).

fof(f1138,plain,
    ( sk_c9 = multiply(inverse(sk_c10),sk_c10)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f76,f1099]) ).

fof(f1099,plain,
    ( sk_c10 = multiply(sk_c10,sk_c9)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1097,f55]) ).

fof(f1097,plain,
    ( sk_c10 = multiply(inverse(sk_c4),sk_c9)
    | spl0_1 ),
    inference(superposition,[],[f76,f1060]) ).

fof(f1056,plain,
    ( spl0_1
    | ~ spl0_6
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1055]) ).

fof(f1055,plain,
    ( $false
    | spl0_1
    | ~ spl0_6
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f1054,f906]) ).

fof(f1054,plain,
    ( identity != inverse(identity)
    | spl0_1
    | ~ spl0_6
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1053,f906]) ).

fof(f1053,plain,
    ( identity != inverse(inverse(identity))
    | spl0_1
    | ~ spl0_6
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f1039,f1]) ).

fof(f1039,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(inverse(identity))
    | spl0_1
    | ~ spl0_6
    | ~ spl0_15 ),
    inference(superposition,[],[f1007,f2]) ).

fof(f1007,plain,
    ( ! [X9] :
        ( identity != multiply(identity,multiply(X9,identity))
        | identity != inverse(X9) )
    | spl0_1
    | ~ spl0_6
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1006,f840]) ).

fof(f1006,plain,
    ( ! [X9] :
        ( identity != multiply(identity,multiply(X9,identity))
        | sk_c8 != inverse(X9) )
    | spl0_1
    | ~ spl0_6
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f837,f840]) ).

fof(f1052,plain,
    ( spl0_1
    | ~ spl0_6
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1051]) ).

fof(f1051,plain,
    ( $false
    | spl0_1
    | ~ spl0_6
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f1050,f906]) ).

fof(f1050,plain,
    ( identity != inverse(identity)
    | spl0_1
    | ~ spl0_6
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f1038,f1]) ).

fof(f1038,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(identity)
    | spl0_1
    | ~ spl0_6
    | ~ spl0_15 ),
    inference(superposition,[],[f1007,f1]) ).

fof(f1049,plain,
    ( spl0_1
    | ~ spl0_6
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1048]) ).

fof(f1048,plain,
    ( $false
    | spl0_1
    | ~ spl0_6
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f1047,f843]) ).

fof(f1047,plain,
    ( identity != inverse(sk_c6)
    | spl0_1
    | ~ spl0_6
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f1037,f928]) ).

fof(f1037,plain,
    ( identity != multiply(identity,sk_c7)
    | identity != inverse(sk_c6)
    | spl0_1
    | ~ spl0_6
    | ~ spl0_15 ),
    inference(superposition,[],[f1007,f927]) ).

fof(f1046,plain,
    ( spl0_1
    | ~ spl0_6
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1045]) ).

fof(f1045,plain,
    ( $false
    | spl0_1
    | ~ spl0_6
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f1044,f846]) ).

fof(f1044,plain,
    ( identity != inverse(sk_c5)
    | spl0_1
    | ~ spl0_6
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f1036,f1]) ).

fof(f1036,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(sk_c5)
    | spl0_1
    | ~ spl0_6
    | ~ spl0_15 ),
    inference(superposition,[],[f1007,f929]) ).

fof(f850,plain,
    ( spl0_1
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f849]) ).

fof(f849,plain,
    ( $false
    | spl0_1
    | spl0_13 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f31,f28,f58,f60,f254,f255,f257,f258,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f92,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f272,f285,f273,f286,f256,f289,f35,f7,f10,f21,f24,f32,f34,f36,f37,f42,f45,f15,f13,f11,f17,f14,f38,f324,f345,f353,f355,f357,f359,f348,f76,f514,f517,f529,f513,f823,f16,f50]) ).

fof(f823,plain,
    ( sk_c10 = inverse(sk_c1)
    | spl0_13 ),
    inference(subsumption_resolution,[],[f17,f324]) ).

fof(f348,plain,
    ( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c1,multiply(sk_c10,X0))
    | spl0_13 ),
    inference(superposition,[],[f3,f345]) ).

fof(f359,plain,
    ( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c3,multiply(sk_c8,X0))
    | spl0_13 ),
    inference(superposition,[],[f3,f357]) ).

fof(f357,plain,
    ( sk_c9 = multiply(sk_c3,sk_c8)
    | spl0_13 ),
    inference(subsumption_resolution,[],[f45,f324]) ).

fof(f355,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c2,multiply(sk_c9,X0))
    | spl0_13 ),
    inference(superposition,[],[f3,f353]) ).

fof(f353,plain,
    ( sk_c8 = multiply(sk_c2,sk_c9)
    | spl0_13 ),
    inference(subsumption_resolution,[],[f24,f324]) ).

fof(f345,plain,
    ( multiply(sk_c1,sk_c10) = sk_c9
    | spl0_13 ),
    inference(subsumption_resolution,[],[f10,f324]) ).

fof(f324,plain,
    ( sk_c8 != inverse(sk_c6)
    | spl0_13 ),
    inference(avatar_component_clause,[],[f323]) ).

fof(f848,plain,
    ( spl0_1
    | spl0_13
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f847]) ).

fof(f847,plain,
    ( $false
    | spl0_1
    | spl0_13
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f846,f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f31,f28,f58,f60,f254,f255,f257,f258,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f92,f50,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f272,f285,f273,f286,f256,f289,f35,f7,f10,f21,f24,f32,f34,f36,f37,f42,f45,f15,f13,f11,f17,f14,f38,f324,f345,f353,f355,f357,f359,f348,f76,f514,f517,f529,f513,f823,f16]) ).

fof(f845,plain,
    ( spl0_1
    | spl0_13
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f844]) ).

fof(f844,plain,
    ( $false
    | spl0_1
    | spl0_13
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f843,f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f31,f28,f58,f60,f254,f255,f257,f258,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f92,f50,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f272,f285,f273,f286,f256,f289,f35,f7,f10,f21,f24,f32,f34,f36,f37,f42,f45,f15,f13,f11,f17,f14,f38,f324,f345,f353,f355,f357,f359,f348,f76,f514,f517,f529,f513,f823,f16]) ).

fof(f842,plain,
    ( spl0_1
    | spl0_13
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f841]) ).

fof(f841,plain,
    ( $false
    | spl0_1
    | spl0_13
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f840,f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f31,f28,f58,f60,f254,f255,f257,f258,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f92,f50,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f272,f285,f273,f286,f256,f289,f35,f7,f10,f21,f24,f32,f34,f36,f37,f42,f45,f15,f13,f11,f17,f14,f38,f324,f345,f353,f355,f357,f359,f348,f76,f514,f517,f529,f513,f823,f16]) ).

fof(f839,plain,
    ( spl0_1
    | ~ spl0_6
    | spl0_13
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f838]) ).

fof(f838,plain,
    ( $false
    | spl0_1
    | ~ spl0_6
    | spl0_13
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f837,f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f31,f28,f58,f60,f254,f255,f257,f258,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f92,f50,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f272,f285,f273,f286,f256,f289,f35,f7,f10,f21,f24,f32,f34,f36,f37,f42,f45,f15,f13,f11,f17,f14,f38,f324,f345,f353,f355,f357,f359,f348,f76,f514,f517,f529,f513,f823,f16]) ).

fof(f836,plain,
    ( spl0_1
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f835]) ).

fof(f835,plain,
    ( $false
    | spl0_1
    | spl0_13 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f31,f28,f58,f60,f254,f255,f257,f258,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f92,f50,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f272,f285,f273,f286,f256,f289,f35,f7,f10,f21,f24,f32,f34,f36,f37,f42,f45,f15,f13,f11,f17,f14,f38,f324,f345,f353,f355,f357,f359,f348,f76,f514,f517,f529,f513,f823,f16]) ).

fof(f834,plain,
    ( spl0_1
    | spl0_13
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f833]) ).

fof(f833,plain,
    ( $false
    | spl0_1
    | spl0_13
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f832,f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f31,f28,f58,f60,f254,f255,f257,f258,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f92,f50,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f272,f285,f273,f286,f256,f289,f35,f7,f10,f21,f24,f32,f34,f36,f37,f42,f45,f16,f15,f13,f11,f17,f14,f38,f324,f345,f353,f355,f357,f359,f348,f76,f514,f517,f529,f513,f823]) ).

fof(f831,plain,
    ( spl0_1
    | spl0_13
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f830]) ).

fof(f830,plain,
    ( $false
    | spl0_1
    | spl0_13
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f829,f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f31,f28,f58,f60,f254,f255,f257,f258,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f92,f50,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f272,f285,f273,f286,f256,f289,f35,f7,f10,f21,f24,f32,f34,f36,f37,f42,f45,f16,f15,f13,f11,f17,f14,f38,f324,f345,f353,f355,f357,f359,f348,f76,f514,f517,f529,f513,f823]) ).

fof(f828,plain,
    ( spl0_1
    | spl0_13
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f827]) ).

fof(f827,plain,
    ( $false
    | spl0_1
    | spl0_13
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f826,f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f31,f28,f58,f60,f254,f255,f257,f258,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f92,f50,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f272,f285,f273,f286,f256,f289,f35,f7,f10,f21,f24,f32,f34,f36,f37,f42,f45,f16,f15,f13,f11,f17,f14,f38,f324,f345,f353,f355,f357,f359,f348,f76,f514,f517,f529,f513,f823]) ).

fof(f825,plain,
    ( spl0_1
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f824]) ).

fof(f824,plain,
    ( $false
    | spl0_1
    | spl0_13 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f31,f28,f58,f60,f254,f255,f257,f258,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f92,f50,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f272,f285,f273,f286,f256,f289,f35,f7,f10,f21,f24,f32,f34,f36,f37,f42,f45,f16,f15,f13,f11,f17,f14,f38,f324,f345,f353,f355,f357,f359,f348,f76,f514,f517,f529,f513,f823]) ).

fof(f822,plain,
    ( spl0_1
    | spl0_13
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f821]) ).

fof(f821,plain,
    ( $false
    | spl0_1
    | spl0_13
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f820,f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f31,f28,f58,f60,f254,f255,f257,f258,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f92,f50,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f272,f285,f273,f286,f256,f289,f35,f7,f10,f21,f24,f32,f34,f36,f37,f42,f45,f16,f15,f13,f11,f17,f14,f38,f324,f345,f353,f355,f357,f359,f348,f76,f514,f517,f529,f513]) ).

fof(f820,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c2,X0)
    | spl0_13
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f819,f1]) ).

fof(f819,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c2,multiply(identity,X0))
    | spl0_13
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f355,f342]) ).

fof(f818,plain,
    ( spl0_1
    | spl0_13
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f817]) ).

fof(f817,plain,
    ( $false
    | spl0_1
    | spl0_13
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f816,f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f31,f28,f58,f60,f254,f255,f257,f258,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f92,f50,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f272,f285,f273,f286,f256,f289,f35,f7,f10,f21,f24,f32,f34,f36,f37,f42,f45,f16,f15,f13,f11,f17,f14,f38,f324,f345,f353,f355,f357,f359,f348,f76,f514,f517,f529,f513]) ).

fof(f816,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c8,X0)) = X0
    | spl0_13
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f815,f1]) ).

fof(f815,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c3,multiply(sk_c8,X0))
    | spl0_13
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f359,f342]) ).

fof(f814,plain,
    ( spl0_1
    | ~ spl0_9
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f813]) ).

fof(f813,plain,
    ( $false
    | spl0_1
    | ~ spl0_9
    | spl0_13 ),
    inference(global_subsumption,[],[f527,f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f31,f28,f58,f60,f254,f255,f257,f258,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f92,f50,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f272,f285,f273,f286,f256,f289,f35,f7,f10,f21,f24,f32,f34,f36,f37,f42,f45,f16,f15,f13,f11,f17,f14,f38,f324,f345,f353,f355,f357,f359,f348,f76,f514,f517,f529,f513]) ).

fof(f812,plain,
    ( spl0_1
    | spl0_13
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f811]) ).

fof(f811,plain,
    ( $false
    | spl0_1
    | spl0_13
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f810,f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f31,f28,f58,f60,f254,f255,f257,f258,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f92,f50,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f272,f285,f273,f286,f256,f289,f35,f7,f10,f21,f24,f32,f34,f36,f37,f42,f45,f16,f15,f13,f11,f17,f14,f38,f324,f345,f353,f355,f357,f359,f348,f76,f514,f517,f529,f513]) ).

fof(f810,plain,
    ( sk_c10 = multiply(inverse(sk_c1),identity)
    | spl0_13
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f532,f342]) ).

fof(f532,plain,
    ( sk_c10 = multiply(inverse(sk_c1),sk_c9)
    | spl0_13 ),
    inference(superposition,[],[f76,f345]) ).

fof(f809,plain,
    ( spl0_1
    | ~ spl0_12
    | spl0_13
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f808]) ).

fof(f808,plain,
    ( $false
    | spl0_1
    | ~ spl0_12
    | spl0_13
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f807,f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f31,f28,f58,f60,f254,f255,f257,f258,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f92,f50,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f272,f285,f273,f286,f256,f289,f35,f7,f10,f21,f24,f32,f34,f36,f37,f42,f45,f16,f15,f13,f11,f17,f14,f38,f324,f345,f353,f355,f357,f359,f348,f76,f514,f517,f529,f513]) ).

fof(f807,plain,
    ( identity = multiply(inverse(identity),sk_c8)
    | ~ spl0_12
    | spl0_13
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f535,f342]) ).

fof(f535,plain,
    ( sk_c9 = multiply(inverse(sk_c9),sk_c8)
    | ~ spl0_12
    | spl0_13 ),
    inference(superposition,[],[f76,f358]) ).

fof(f358,plain,
    ( sk_c8 = multiply(sk_c9,sk_c9)
    | ~ spl0_12
    | spl0_13 ),
    inference(superposition,[],[f329,f357]) ).

fof(f806,plain,
    ( spl0_1
    | spl0_13
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f805]) ).

fof(f805,plain,
    ( $false
    | spl0_1
    | spl0_13
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f804,f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f31,f28,f58,f60,f254,f255,f257,f258,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f92,f50,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f272,f285,f273,f286,f256,f289,f35,f7,f10,f21,f24,f32,f34,f36,f37,f42,f45,f16,f15,f13,f11,f17,f14,f38,f324,f345,f353,f355,f357,f359,f348,f76,f514,f517,f529,f513]) ).

fof(f804,plain,
    ( identity = multiply(inverse(sk_c2),sk_c8)
    | spl0_13
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f536,f342]) ).

fof(f536,plain,
    ( sk_c9 = multiply(inverse(sk_c2),sk_c8)
    | spl0_13 ),
    inference(superposition,[],[f76,f353]) ).

fof(f803,plain,
    ( spl0_1
    | ~ spl0_9
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f802]) ).

fof(f802,plain,
    ( $false
    | spl0_1
    | ~ spl0_9
    | spl0_13 ),
    inference(global_subsumption,[],[f540,f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f31,f28,f58,f60,f254,f255,f257,f258,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f92,f50,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f272,f285,f273,f286,f256,f289,f35,f7,f10,f21,f24,f32,f34,f36,f37,f42,f45,f16,f15,f13,f11,f17,f14,f38,f324,f345,f353,f355,f357,f359,f348,f76,f514,f517,f529,f513]) ).

fof(f801,plain,
    ( spl0_1
    | spl0_13
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f800]) ).

fof(f800,plain,
    ( $false
    | spl0_1
    | spl0_13
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f595,f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f31,f28,f58,f60,f254,f255,f257,f258,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f92,f50,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f272,f285,f273,f286,f256,f289,f35,f7,f10,f21,f24,f32,f34,f36,f37,f42,f45,f16,f15,f13,f11,f17,f14,f38,f324,f345,f353,f355,f357,f359,f348,f76,f514,f517,f529,f513]) ).

fof(f595,plain,
    ( sk_c8 = multiply(sk_c2,identity)
    | spl0_13
    | ~ spl0_15 ),
    inference(superposition,[],[f353,f342]) ).

fof(f799,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f798]) ).

fof(f798,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_13 ),
    inference(global_subsumption,[],[f538,f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f31,f28,f58,f60,f254,f255,f257,f258,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f92,f50,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f272,f285,f273,f286,f256,f289,f35,f7,f10,f21,f24,f32,f34,f36,f37,f42,f45,f16,f15,f13,f11,f17,f14,f38,f324,f345,f353,f355,f357,f359,f348,f76,f514,f517,f529,f513]) ).

fof(f797,plain,
    ( spl0_1
    | spl0_13
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f796]) ).

fof(f796,plain,
    ( $false
    | spl0_1
    | spl0_13
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f712,f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f31,f28,f58,f60,f254,f255,f257,f258,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f92,f50,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f272,f285,f273,f286,f256,f289,f35,f7,f10,f21,f24,f32,f34,f36,f37,f42,f45,f16,f15,f13,f11,f17,f14,f38,f324,f345,f353,f355,f357,f359,f348,f76,f514,f517,f529,f513]) ).

fof(f712,plain,
    ( ! [X0] : multiply(sk_c10,X0) = multiply(inverse(sk_c1),X0)
    | spl0_13
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f711,f1]) ).

fof(f711,plain,
    ( ! [X0] : multiply(sk_c10,X0) = multiply(inverse(sk_c1),multiply(identity,X0))
    | spl0_13
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f521,f342]) ).

fof(f521,plain,
    ( ! [X0] : multiply(sk_c10,X0) = multiply(inverse(sk_c1),multiply(sk_c9,X0))
    | spl0_13 ),
    inference(superposition,[],[f76,f348]) ).

fof(f795,plain,
    ( spl0_1
    | ~ spl0_12
    | spl0_13
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f794]) ).

fof(f794,plain,
    ( $false
    | spl0_1
    | ~ spl0_12
    | spl0_13
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f793,f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f31,f28,f58,f60,f254,f255,f257,f258,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f92,f50,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f272,f285,f273,f286,f256,f289,f35,f7,f10,f21,f24,f32,f34,f36,f37,f42,f45,f16,f15,f13,f11,f17,f14,f38,f324,f345,f353,f355,f357,f359,f348,f76,f514,f517,f529,f513]) ).

fof(f793,plain,
    ( ! [X0] : multiply(sk_c8,X0) = X0
    | ~ spl0_12
    | spl0_13
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f716,f1]) ).

fof(f716,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,X0)
    | ~ spl0_12
    | spl0_13
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f715,f1]) ).

fof(f715,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(identity,multiply(identity,X0))
    | ~ spl0_12
    | spl0_13
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f368,f342]) ).

fof(f368,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c9,multiply(sk_c9,X0))
    | ~ spl0_12
    | spl0_13 ),
    inference(superposition,[],[f3,f358]) ).

fof(f792,plain,
    ( spl0_1
    | spl0_13
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f791]) ).

fof(f791,plain,
    ( $false
    | spl0_1
    | spl0_13
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f728,f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f31,f28,f58,f60,f254,f255,f257,f258,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f92,f50,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f272,f285,f273,f286,f256,f289,f35,f7,f10,f21,f24,f32,f34,f36,f37,f42,f45,f16,f15,f13,f11,f17,f14,f38,f324,f345,f353,f355,f357,f359,f348,f76,f514,f517,f529,f513]) ).

fof(f790,plain,
    ( spl0_1
    | spl0_13
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f789]) ).

fof(f789,plain,
    ( $false
    | spl0_1
    | spl0_13
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f788,f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f31,f28,f58,f60,f254,f255,f257,f258,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f92,f50,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f272,f285,f273,f286,f256,f289,f35,f7,f10,f21,f24,f32,f34,f36,f37,f42,f45,f16,f15,f13,f11,f17,f14,f38,f324,f345,f353,f355,f357,f359,f348,f76,f514,f517,f529,f513]) ).

fof(f787,plain,
    ( spl0_1
    | spl0_13
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f786]) ).

fof(f786,plain,
    ( $false
    | spl0_1
    | spl0_13
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f785,f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f31,f28,f58,f60,f254,f255,f257,f258,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f92,f50,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f272,f285,f273,f286,f256,f289,f35,f7,f10,f21,f24,f32,f34,f36,f37,f42,f45,f16,f15,f13,f11,f17,f14,f38,f324,f345,f353,f355,f357,f359,f348,f76,f514,f517,f529,f513]) ).

fof(f784,plain,
    ( spl0_1
    | ~ spl0_8
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f783]) ).

fof(f783,plain,
    ( $false
    | spl0_1
    | ~ spl0_8
    | spl0_13 ),
    inference(global_subsumption,[],[f584,f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f31,f28,f58,f60,f254,f255,f257,f258,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f92,f50,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f272,f285,f273,f286,f256,f289,f35,f7,f10,f21,f24,f32,f34,f36,f37,f42,f45,f16,f15,f13,f11,f17,f14,f38,f324,f345,f353,f355,f357,f359,f348,f76,f514,f517,f529,f513]) ).

fof(f584,plain,
    ( identity = sk_c8
    | ~ spl0_8
    | spl0_13 ),
    inference(forward_demodulation,[],[f542,f2]) ).

fof(f542,plain,
    ( sk_c8 = multiply(inverse(sk_c9),sk_c9)
    | ~ spl0_8
    | spl0_13 ),
    inference(superposition,[],[f76,f354]) ).

fof(f354,plain,
    ( sk_c9 = multiply(sk_c9,sk_c8)
    | ~ spl0_8
    | spl0_13 ),
    inference(superposition,[],[f193,f353]) ).

fof(f782,plain,
    ( spl0_1
    | ~ spl0_8
    | spl0_13
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f781]) ).

fof(f781,plain,
    ( $false
    | spl0_1
    | ~ spl0_8
    | spl0_13
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f759,f26,f33,f19,f40,f5,f1,f2,f12,f59,f61,f62,f63,f64,f65,f3,f69,f72,f73,f74,f80,f86,f89,f81,f47,f110,f119,f111,f121,f112,f124,f123,f113,f125,f114,f127,f117,f128,f115,f116,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f31,f28,f58,f60,f254,f255,f257,f258,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f92,f50,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f272,f285,f273,f286,f256,f289,f35,f7,f10,f21,f24,f32,f34,f36,f37,f42,f45,f16,f15,f13,f11,f17,f14,f38,f324,f345,f353,f355,f357,f359,f348,f76,f514,f517,f529,f513]) ).

fof(f780,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_12
    | spl0_13
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f779]) ).

fof(f779,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_12
    | spl0_13
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f778,f26,f33,f19,f40,f5,f1,f2,f12,f3,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f31,f177,f179,f28,f185,f191,f193,f99,f216,f217,f223,f218,f35,f7,f10,f21,f24,f32,f34,f36,f37,f42,f45,f16,f297,f15,f298,f13,f299,f11,f300,f17,f301,f14,f51,f303,f38,f321,f324,f327,f306,f329,f345,f347,f352,f353,f355,f354,f356,f357,f359,f358,f368,f348,f379,f383,f386,f391,f395,f396,f392,f399,f380,f404,f411,f410,f416,f425,f420,f423,f421,f429,f412,f427,f436,f431,f438,f450,f452,f457,f458,f472,f459,f440,f76,f514,f515,f517,f519,f523,f553,f555,f529,f563,f586,f587,f572,f568,f565,f530,f650,f652,f513,f415,f413,f422,f446,f445,f584]) ).

fof(f445,plain,
    ( identity = sk_c2
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_12
    | spl0_13 ),
    inference(superposition,[],[f431,f191]) ).

fof(f446,plain,
    ( identity = sk_c3
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_12
    | spl0_13 ),
    inference(superposition,[],[f431,f327]) ).

fof(f422,plain,
    ( identity = multiply(sk_c2,identity)
    | ~ spl0_1
    | ~ spl0_12
    | spl0_13 ),
    inference(superposition,[],[f410,f327]) ).

fof(f413,plain,
    ( ! [X0] : multiply(sk_c2,X0) = X0
    | ~ spl0_1
    | ~ spl0_12
    | spl0_13 ),
    inference(superposition,[],[f410,f329]) ).

fof(f415,plain,
    ( multiply(sk_c1,identity) = multiply(sk_c2,multiply(sk_c1,identity))
    | ~ spl0_1
    | ~ spl0_12
    | spl0_13 ),
    inference(superposition,[],[f410,f380]) ).

fof(f652,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c10),X0)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f651,f1]) ).

fof(f651,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c10),multiply(identity,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f530]) ).

fof(f650,plain,
    ( identity = multiply(inverse(inverse(sk_c10)),sk_c1)
    | ~ spl0_1 ),
    inference(superposition,[],[f76,f530]) ).

fof(f565,plain,
    ( identity = sk_c9
    | ~ spl0_1
    | spl0_13 ),
    inference(forward_demodulation,[],[f533,f2]) ).

fof(f533,plain,
    ( sk_c9 = multiply(inverse(sk_c10),sk_c10)
    | ~ spl0_1
    | spl0_13 ),
    inference(superposition,[],[f76,f347]) ).

fof(f568,plain,
    ( identity = sk_c9
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_12
    | spl0_13 ),
    inference(forward_demodulation,[],[f534,f2]) ).

fof(f534,plain,
    ( sk_c9 = multiply(inverse(sk_c9),sk_c9)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_12
    | spl0_13 ),
    inference(superposition,[],[f76,f392]) ).

fof(f572,plain,
    ( identity = sk_c9
    | ~ spl0_1
    | ~ spl0_12
    | spl0_13 ),
    inference(forward_demodulation,[],[f571,f2]) ).

fof(f571,plain,
    ( sk_c9 = multiply(inverse(sk_c9),sk_c9)
    | ~ spl0_1
    | ~ spl0_12
    | spl0_13 ),
    inference(forward_demodulation,[],[f535,f386]) ).

fof(f587,plain,
    ( identity = multiply(inverse(sk_c9),identity)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_12
    | spl0_13 ),
    inference(forward_demodulation,[],[f545,f446]) ).

fof(f586,plain,
    ( identity = multiply(inverse(sk_c9),identity)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_12
    | spl0_13 ),
    inference(forward_demodulation,[],[f544,f445]) ).

fof(f544,plain,
    ( sk_c2 = multiply(inverse(sk_c9),identity)
    | ~ spl0_8 ),
    inference(superposition,[],[f76,f191]) ).

fof(f563,plain,
    ( sk_c1 = multiply(inverse(sk_c9),sk_c1)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_12
    | spl0_13 ),
    inference(forward_demodulation,[],[f531,f440]) ).

fof(f531,plain,
    ( sk_c1 = multiply(inverse(sk_c9),multiply(sk_c1,identity))
    | ~ spl0_1
    | spl0_13 ),
    inference(superposition,[],[f76,f380]) ).

fof(f555,plain,
    ( ! [X0] : multiply(inverse(sk_c9),X0) = X0
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_12
    | spl0_13 ),
    inference(forward_demodulation,[],[f554,f1]) ).

fof(f554,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(sk_c9),X0)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_12
    | spl0_13 ),
    inference(forward_demodulation,[],[f525,f446]) ).

fof(f553,plain,
    ( ! [X0] : multiply(inverse(sk_c9),X0) = X0
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_12
    | spl0_13 ),
    inference(forward_demodulation,[],[f524,f412]) ).

fof(f524,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(sk_c9),X0)
    | ~ spl0_8 ),
    inference(superposition,[],[f76,f193]) ).

fof(f523,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c10),X0)
    | ~ spl0_1 ),
    inference(superposition,[],[f76,f306]) ).

fof(f519,plain,
    ( identity = multiply(inverse(sk_c9),identity)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_12
    | spl0_13 ),
    inference(superposition,[],[f76,f427]) ).

fof(f515,plain,
    ( ! [X0] : multiply(inverse(sk_c9),X0) = X0
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_12
    | spl0_13 ),
    inference(superposition,[],[f76,f431]) ).

fof(f440,plain,
    ( sk_c1 = multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_12
    | spl0_13 ),
    inference(superposition,[],[f431,f380]) ).

fof(f459,plain,
    ( sk_c9 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_12
    | spl0_13 ),
    inference(superposition,[],[f185,f445]) ).

fof(f472,plain,
    ( sk_c9 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_12
    | spl0_13 ),
    inference(superposition,[],[f321,f446]) ).

fof(f458,plain,
    ( identity = sk_c3
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_12
    | spl0_13 ),
    inference(superposition,[],[f327,f431]) ).

fof(f457,plain,
    ( identity = sk_c2
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_12
    | spl0_13 ),
    inference(superposition,[],[f191,f431]) ).

fof(f452,plain,
    ( sk_c1 = multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_12
    | spl0_13 ),
    inference(superposition,[],[f380,f431]) ).

fof(f450,plain,
    ( ! [X0] : multiply(sk_c3,X0) = X0
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_12
    | spl0_13 ),
    inference(superposition,[],[f329,f431]) ).

fof(f438,plain,
    ( ! [X0] : multiply(sk_c3,X0) = X0
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_12
    | spl0_13 ),
    inference(superposition,[],[f431,f329]) ).

fof(f431,plain,
    ( ! [X0] : multiply(sk_c9,X0) = X0
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_12
    | spl0_13 ),
    inference(superposition,[],[f193,f412]) ).

fof(f436,plain,
    ( ! [X0] : multiply(sk_c9,X0) = X0
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_12
    | spl0_13 ),
    inference(forward_demodulation,[],[f435,f1]) ).

fof(f435,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(identity,X0))
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_12
    | spl0_13 ),
    inference(superposition,[],[f3,f427]) ).

fof(f427,plain,
    ( identity = multiply(sk_c9,identity)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_12
    | spl0_13 ),
    inference(superposition,[],[f193,f421]) ).

fof(f412,plain,
    ( ! [X0] : multiply(sk_c2,X0) = X0
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_12
    | spl0_13 ),
    inference(superposition,[],[f410,f193]) ).

fof(f429,plain,
    ( ! [X0] : multiply(sk_c2,X0) = X0
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_12
    | spl0_13 ),
    inference(forward_demodulation,[],[f428,f1]) ).

fof(f428,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c2,multiply(identity,X0))
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_12
    | spl0_13 ),
    inference(superposition,[],[f3,f421]) ).

fof(f421,plain,
    ( identity = multiply(sk_c2,identity)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_12
    | spl0_13 ),
    inference(superposition,[],[f410,f191]) ).

fof(f423,plain,
    ( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c9,multiply(sk_c9,X0))
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_12
    | spl0_13 ),
    inference(superposition,[],[f193,f410]) ).

fof(f420,plain,
    ( sk_c9 = multiply(sk_c2,sk_c9)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_12
    | spl0_13 ),
    inference(superposition,[],[f410,f354]) ).

fof(f425,plain,
    ( sk_c9 = multiply(sk_c2,sk_c9)
    | ~ spl0_1
    | ~ spl0_12
    | spl0_13 ),
    inference(forward_demodulation,[],[f417,f386]) ).

fof(f417,plain,
    ( sk_c8 = multiply(sk_c2,sk_c8)
    | ~ spl0_1
    | ~ spl0_12
    | spl0_13 ),
    inference(superposition,[],[f410,f358]) ).

fof(f416,plain,
    ( sk_c9 = multiply(sk_c2,sk_c9)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_12
    | spl0_13 ),
    inference(superposition,[],[f410,f392]) ).

fof(f410,plain,
    ( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c2,multiply(sk_c9,X0))
    | ~ spl0_1
    | ~ spl0_12
    | spl0_13 ),
    inference(forward_demodulation,[],[f355,f386]) ).

fof(f411,plain,
    ( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c3,multiply(sk_c9,X0))
    | ~ spl0_1
    | ~ spl0_12
    | spl0_13 ),
    inference(forward_demodulation,[],[f359,f386]) ).

fof(f404,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c9,multiply(sk_c1,X0))
    | ~ spl0_1
    | spl0_13 ),
    inference(forward_demodulation,[],[f403,f1]) ).

fof(f403,plain,
    ( ! [X0] : multiply(sk_c9,multiply(sk_c1,X0)) = multiply(sk_c1,multiply(identity,X0))
    | ~ spl0_1
    | spl0_13 ),
    inference(forward_demodulation,[],[f402,f3]) ).

fof(f402,plain,
    ( ! [X0] : multiply(sk_c9,multiply(sk_c1,X0)) = multiply(multiply(sk_c1,identity),X0)
    | ~ spl0_1
    | spl0_13 ),
    inference(superposition,[],[f3,f380]) ).

fof(f380,plain,
    ( multiply(sk_c9,sk_c1) = multiply(sk_c1,identity)
    | ~ spl0_1
    | spl0_13 ),
    inference(superposition,[],[f348,f303]) ).

fof(f399,plain,
    ( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c9,multiply(sk_c9,X0))
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_12
    | spl0_13 ),
    inference(superposition,[],[f3,f392]) ).

fof(f392,plain,
    ( sk_c9 = multiply(sk_c9,sk_c9)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_12
    | spl0_13 ),
    inference(superposition,[],[f354,f386]) ).

fof(f396,plain,
    ( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c3,multiply(sk_c9,X0))
    | ~ spl0_1
    | ~ spl0_12
    | spl0_13 ),
    inference(superposition,[],[f3,f391]) ).

fof(f395,plain,
    ( sk_c9 = multiply(sk_c9,sk_c9)
    | ~ spl0_1
    | ~ spl0_12
    | spl0_13 ),
    inference(superposition,[],[f329,f391]) ).

fof(f391,plain,
    ( sk_c9 = multiply(sk_c3,sk_c9)
    | ~ spl0_1
    | ~ spl0_12
    | spl0_13 ),
    inference(superposition,[],[f357,f386]) ).

fof(f386,plain,
    ( sk_c9 = sk_c8
    | ~ spl0_1
    | ~ spl0_12
    | spl0_13 ),
    inference(forward_demodulation,[],[f385,f345]) ).

fof(f385,plain,
    ( multiply(sk_c1,sk_c10) = sk_c8
    | ~ spl0_1
    | ~ spl0_12
    | spl0_13 ),
    inference(forward_demodulation,[],[f381,f358]) ).

fof(f381,plain,
    ( multiply(sk_c1,sk_c10) = multiply(sk_c9,sk_c9)
    | ~ spl0_1
    | spl0_13 ),
    inference(superposition,[],[f348,f347]) ).

fof(f383,plain,
    ( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c10,multiply(sk_c9,X0))
    | ~ spl0_1
    | spl0_13 ),
    inference(superposition,[],[f306,f348]) ).

fof(f379,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c9,multiply(sk_c1,X0))
    | ~ spl0_1
    | spl0_13 ),
    inference(superposition,[],[f348,f306]) ).

fof(f356,plain,
    ( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c9,multiply(sk_c8,X0))
    | ~ spl0_8
    | spl0_13 ),
    inference(superposition,[],[f3,f354]) ).

fof(f352,plain,
    ( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c10,multiply(sk_c9,X0))
    | ~ spl0_1
    | spl0_13 ),
    inference(superposition,[],[f3,f347]) ).

fof(f347,plain,
    ( sk_c10 = multiply(sk_c10,sk_c9)
    | ~ spl0_1
    | spl0_13 ),
    inference(superposition,[],[f306,f345]) ).

fof(f306,plain,
    ( ! [X0] : multiply(sk_c10,multiply(sk_c1,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f305,f1]) ).

fof(f305,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c1,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f303]) ).

fof(f301,plain,
    ( sk_c10 = inverse(sk_c1)
    | ~ spl0_1 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f3,f76,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f31,f51,f177,f179,f28,f14,f35,f38,f7,f10,f21,f24,f32,f34,f36,f37,f42,f45,f16,f297,f15,f298,f13,f299,f11,f300,f17]) ).

fof(f300,plain,
    ( sk_c10 = inverse(sk_c1)
    | ~ spl0_1 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f3,f76,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f31,f51,f177,f179,f28,f14,f17,f35,f38,f7,f10,f21,f24,f32,f34,f36,f37,f42,f45,f16,f297,f15,f298,f13,f299,f11]) ).

fof(f299,plain,
    ( sk_c10 = inverse(sk_c1)
    | ~ spl0_1 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f3,f76,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f31,f51,f177,f179,f28,f14,f17,f11,f35,f38,f7,f10,f21,f24,f32,f34,f36,f37,f42,f45,f16,f297,f15,f298,f13]) ).

fof(f298,plain,
    ( sk_c10 = inverse(sk_c1)
    | ~ spl0_1 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f3,f76,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f31,f51,f177,f179,f28,f14,f17,f11,f13,f35,f38,f7,f10,f21,f24,f32,f34,f36,f37,f42,f45,f16,f297,f15]) ).

fof(f297,plain,
    ( sk_c10 = inverse(sk_c1)
    | ~ spl0_1 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f3,f76,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f31,f51,f177,f179,f28,f14,f17,f11,f13,f15,f35,f38,f7,f10,f21,f24,f32,f34,f36,f37,f42,f45,f16]) ).

fof(f179,plain,
    ( ! [X0] : multiply(sk_c10,multiply(sk_c1,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f178,f1]) ).

fof(f178,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c1,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f177]) ).

fof(f177,plain,
    ( identity = multiply(sk_c10,sk_c1)
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f51]) ).

fof(f778,plain,
    ( ! [X5] :
        ( identity != inverse(X5)
        | identity != multiply(X5,identity) )
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_12
    | spl0_13
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f777,f342]) ).

fof(f777,plain,
    ( ! [X5] :
        ( identity != multiply(X5,identity)
        | sk_c9 != inverse(X5) )
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_12
    | spl0_13
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f776,f342]) ).

fof(f776,plain,
    ( ! [X5] :
        ( sk_c9 != multiply(X5,sk_c9)
        | sk_c9 != inverse(X5) )
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_12
    | spl0_13 ),
    inference(forward_demodulation,[],[f99,f386]) ).

fof(f775,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_12
    | spl0_13
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f774]) ).

fof(f774,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_12
    | spl0_13
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f773,f26,f33,f19,f40,f5,f1,f2,f12,f3,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f31,f177,f179,f28,f185,f191,f193,f99,f216,f217,f223,f218,f35,f7,f10,f21,f24,f32,f34,f36,f37,f42,f45,f16,f297,f15,f298,f13,f299,f11,f300,f17,f301,f14,f51,f303,f38,f321,f324,f327,f306,f329,f345,f347,f352,f353,f355,f354,f356,f357,f359,f358,f368,f348,f379,f383,f386,f391,f395,f396,f392,f399,f380,f404,f411,f410,f416,f425,f420,f423,f421,f429,f412,f427,f436,f431,f438,f450,f452,f457,f458,f472,f459,f440,f76,f514,f515,f517,f519,f523,f553,f555,f529,f563,f586,f587,f572,f568,f565,f530,f650,f652,f513,f415,f413,f422,f446,f445,f584]) ).

fof(f773,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_12
    | spl0_13
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f772,f342]) ).

fof(f772,plain,
    ( sk_c9 != inverse(inverse(sk_c9))
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_12
    | spl0_13
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f771,f386]) ).

fof(f770,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_12
    | spl0_13
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f769]) ).

fof(f769,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_12
    | spl0_13
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f768,f26,f33,f19,f40,f5,f1,f2,f12,f3,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f31,f177,f179,f28,f185,f191,f193,f99,f216,f217,f223,f218,f35,f7,f10,f21,f24,f32,f34,f36,f37,f42,f45,f16,f297,f15,f298,f13,f299,f11,f300,f17,f301,f14,f51,f303,f38,f321,f324,f327,f306,f329,f345,f347,f352,f353,f355,f354,f356,f357,f359,f358,f368,f348,f379,f383,f386,f391,f395,f396,f392,f399,f380,f404,f411,f410,f416,f425,f420,f423,f421,f429,f412,f427,f436,f431,f438,f450,f452,f457,f458,f472,f459,f440,f76,f514,f515,f517,f519,f523,f553,f555,f529,f563,f586,f587,f572,f568,f565,f530,f650,f652,f513,f415,f413,f422,f446,f445,f584]) ).

fof(f768,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_12
    | spl0_13
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f767,f342]) ).

fof(f767,plain,
    ( identity != inverse(inverse(sk_c9))
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_12
    | spl0_13
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f766,f386]) ).

fof(f765,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_12
    | spl0_13
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f764]) ).

fof(f764,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_12
    | spl0_13
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f763,f26,f33,f19,f40,f5,f1,f2,f12,f3,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f31,f177,f179,f28,f185,f191,f193,f99,f216,f217,f223,f218,f35,f7,f10,f21,f24,f32,f34,f36,f37,f42,f45,f16,f297,f15,f298,f13,f299,f11,f300,f17,f301,f14,f51,f303,f38,f321,f324,f327,f306,f329,f345,f347,f352,f353,f355,f354,f356,f357,f359,f358,f368,f348,f379,f383,f386,f391,f395,f396,f392,f399,f380,f404,f411,f410,f416,f425,f420,f423,f421,f429,f412,f427,f436,f431,f438,f450,f452,f457,f458,f472,f459,f440,f76,f514,f515,f517,f519,f523,f553,f555,f529,f563,f586,f587,f572,f568,f565,f530,f650,f652,f513,f415,f413,f422,f446,f445,f584]) ).

fof(f763,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_12
    | spl0_13
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f762,f342]) ).

fof(f762,plain,
    ( sk_c9 != inverse(identity)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_12
    | spl0_13 ),
    inference(subsumption_resolution,[],[f216,f386]) ).

fof(f761,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_12
    | spl0_13
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f760]) ).

fof(f760,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_12
    | spl0_13
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f759,f26,f33,f19,f40,f5,f1,f2,f12,f3,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f31,f177,f179,f28,f185,f191,f193,f99,f216,f217,f223,f218,f35,f7,f10,f21,f24,f32,f34,f36,f37,f42,f45,f16,f297,f15,f298,f13,f299,f11,f300,f17,f301,f14,f51,f303,f38,f321,f324,f327,f306,f329,f345,f347,f352,f353,f355,f354,f356,f357,f359,f358,f368,f348,f379,f383,f386,f391,f395,f396,f392,f399,f380,f404,f411,f410,f416,f425,f420,f423,f421,f429,f412,f427,f436,f431,f438,f450,f452,f457,f458,f472,f459,f440,f76,f514,f515,f517,f519,f523,f553,f555,f529,f563,f586,f587,f572,f568,f565,f530,f650,f652,f513,f415,f413,f422,f446,f445,f584]) ).

fof(f758,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_12
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f757]) ).

fof(f757,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_12
    | spl0_13 ),
    inference(global_subsumption,[],[f443,f26,f33,f19,f40,f5,f1,f2,f12,f3,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f31,f177,f179,f28,f185,f191,f193,f99,f216,f217,f223,f218,f35,f7,f10,f21,f24,f32,f34,f36,f37,f42,f45,f16,f297,f15,f298,f13,f299,f11,f300,f17,f301,f14,f51,f303,f38,f321,f324,f327,f306,f329,f345,f347,f352,f353,f355,f354,f356,f357,f359,f358,f368,f348,f379,f383,f386,f391,f395,f396,f392,f399,f380,f404,f411,f410,f416,f425,f420,f423,f421,f429,f412,f427,f436,f431,f438,f450,f452,f457,f458,f472,f459,f440,f76,f514,f515,f517,f519,f523,f553,f555,f529,f563,f586,f587,f572,f568,f565,f530,f650,f652,f513,f415,f413,f422,f446,f445,f584]) ).

fof(f443,plain,
    ( identity = sk_c5
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_12
    | spl0_13 ),
    inference(superposition,[],[f431,f394]) ).

fof(f394,plain,
    ( identity = multiply(sk_c9,sk_c5)
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_12
    | spl0_13 ),
    inference(superposition,[],[f304,f386]) ).

fof(f756,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_12
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f755]) ).

fof(f755,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_12
    | spl0_13 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f3,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f31,f177,f179,f28,f185,f191,f193,f99,f216,f217,f223,f218,f35,f7,f10,f21,f24,f32,f34,f36,f37,f42,f45,f16,f297,f15,f298,f13,f299,f11,f300,f17,f301,f14,f51,f303,f38,f321,f324,f327,f306,f329,f345,f347,f352,f353,f355,f354,f356,f357,f359,f358,f368,f348,f379,f383,f386,f391,f395,f396,f392,f399,f380,f404,f411,f410,f416,f425,f420,f423,f421,f429,f412,f427,f436,f431,f438,f450,f452,f457,f458,f472,f459,f440,f76,f514,f515,f517,f519,f523,f553,f555,f529,f563,f586,f587,f572,f568,f565,f530,f650,f652,f513,f415,f413,f422,f446,f445,f584]) ).

fof(f754,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_12
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f753]) ).

fof(f753,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_12
    | spl0_13 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f3,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f31,f177,f179,f28,f185,f191,f193,f99,f216,f217,f223,f218,f35,f7,f10,f21,f24,f32,f34,f36,f37,f42,f45,f16,f297,f15,f298,f13,f299,f11,f300,f17,f301,f14,f51,f303,f38,f321,f324,f327,f306,f329,f345,f347,f352,f353,f355,f354,f356,f357,f359,f358,f368,f348,f379,f383,f386,f391,f395,f396,f392,f399,f380,f404,f411,f410,f416,f425,f420,f423,f421,f429,f412,f427,f436,f431,f438,f450,f452,f457,f458,f472,f459,f440,f76,f514,f515,f517,f519,f523,f553,f555,f529,f563,f584,f586,f587,f572,f568,f565,f530,f650,f652,f513,f415,f413,f422,f446,f445]) ).

fof(f752,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_12
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f751]) ).

fof(f751,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_12
    | spl0_13 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f3,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f31,f177,f179,f28,f185,f191,f193,f99,f216,f217,f223,f218,f35,f7,f10,f21,f24,f32,f34,f36,f37,f42,f45,f16,f297,f15,f298,f13,f299,f11,f300,f17,f301,f14,f51,f303,f38,f321,f324,f327,f306,f329,f345,f347,f352,f353,f355,f354,f356,f357,f359,f358,f368,f348,f379,f383,f386,f391,f395,f396,f392,f399,f380,f404,f411,f410,f416,f425,f420,f423,f421,f429,f412,f427,f436,f431,f438,f450,f452,f457,f458,f445,f472,f459,f440,f76,f514,f515,f517,f519,f523,f553,f555,f529,f563,f584,f586,f587,f572,f568,f565,f530,f650,f652,f513,f415,f413,f422,f446]) ).

fof(f750,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_12
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f749]) ).

fof(f749,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_12
    | spl0_13 ),
    inference(global_subsumption,[],[f490,f26,f33,f19,f40,f5,f1,f2,f12,f3,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f31,f177,f179,f28,f185,f191,f193,f99,f216,f217,f223,f218,f35,f7,f10,f21,f24,f32,f34,f36,f37,f42,f45,f16,f297,f15,f298,f13,f299,f11,f300,f17,f301,f14,f51,f303,f38,f321,f324,f327,f306,f329,f345,f347,f352,f353,f355,f354,f356,f357,f359,f358,f368,f348,f379,f383,f386,f391,f395,f396,f392,f399,f380,f404,f411,f410,f416,f425,f420,f423,f421,f429,f412,f427,f436,f431,f438,f450,f452,f457,f458,f445,f446,f472,f459,f440,f76,f514,f515,f517,f519,f523,f553,f555,f529,f563,f584,f586,f587,f572,f568,f565,f530,f650,f652,f513,f415,f413,f422]) ).

fof(f490,plain,
    ( sk_c1 = sk_c4
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_12
    | spl0_13 ),
    inference(forward_demodulation,[],[f442,f440]) ).

fof(f442,plain,
    ( sk_c4 = multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_12
    | spl0_13 ),
    inference(superposition,[],[f431,f382]) ).

fof(f382,plain,
    ( multiply(sk_c1,identity) = multiply(sk_c9,sk_c4)
    | ~ spl0_2
    | spl0_13 ),
    inference(superposition,[],[f348,f57]) ).

fof(f748,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_12
    | spl0_13
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f747]) ).

fof(f747,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_12
    | spl0_13
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f612,f26,f33,f19,f40,f5,f1,f2,f12,f3,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f31,f177,f179,f28,f185,f191,f193,f99,f216,f217,f223,f218,f35,f7,f10,f21,f24,f32,f34,f36,f37,f42,f45,f16,f297,f15,f298,f13,f299,f11,f300,f17,f301,f14,f51,f303,f38,f321,f324,f327,f306,f329,f345,f347,f352,f353,f355,f354,f356,f357,f359,f358,f368,f348,f379,f383,f386,f391,f395,f396,f392,f399,f380,f404,f411,f410,f416,f425,f420,f423,f421,f429,f412,f427,f436,f431,f438,f450,f452,f457,f458,f445,f446,f472,f459,f440,f76,f514,f515,f517,f519,f523,f553,f555,f529,f563,f584,f586,f587,f572,f568,f565,f530,f650,f652,f513,f415,f413,f422]) ).

fof(f612,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_12
    | spl0_13
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f595,f421]) ).

fof(f746,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_12
    | spl0_13
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f745]) ).

fof(f745,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_12
    | spl0_13
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f744,f26,f33,f19,f40,f5,f1,f2,f12,f3,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f31,f177,f179,f28,f185,f191,f193,f99,f216,f217,f223,f218,f35,f7,f10,f21,f24,f32,f34,f36,f37,f42,f45,f16,f297,f15,f298,f13,f299,f11,f300,f17,f301,f14,f51,f303,f38,f321,f324,f327,f306,f329,f345,f347,f352,f353,f355,f354,f356,f357,f359,f358,f368,f348,f379,f383,f386,f391,f395,f396,f392,f399,f380,f404,f411,f410,f416,f425,f420,f423,f421,f429,f412,f427,f436,f431,f438,f450,f452,f457,f458,f445,f446,f472,f459,f440,f76,f514,f515,f517,f519,f523,f553,f555,f529,f563,f584,f586,f587,f572,f568,f565,f530,f650,f652,f513,f415,f413,f422]) ).

fof(f744,plain,
    ( identity = inverse(identity)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_12
    | spl0_13
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f459,f342]) ).

fof(f743,plain,
    ( spl0_8
    | spl0_13
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f742]) ).

fof(f742,plain,
    ( $false
    | spl0_8
    | spl0_13
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f3,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f30,f29,f27,f25,f31,f28,f35,f7,f10,f21,f24,f32,f34,f36,f37,f42,f45,f16,f15,f13,f11,f17,f14,f38,f324,f345,f353,f355,f357,f359,f348,f76,f514,f517,f529,f342,f513,f738,f740,f741]) ).

fof(f740,plain,
    ( identity = inverse(sk_c2)
    | spl0_13
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f739,f342]) ).

fof(f739,plain,
    ( sk_c9 = inverse(sk_c2)
    | spl0_13 ),
    inference(subsumption_resolution,[],[f31,f324]) ).

fof(f689,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12
    | spl0_13
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f688]) ).

fof(f688,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12
    | spl0_13
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f687,f342]) ).

fof(f687,plain,
    ( identity != sk_c9
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12
    | spl0_13
    | ~ spl0_15 ),
    inference(superposition,[],[f679,f459]) ).

fof(f679,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_12
    | spl0_13
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f667,f1]) ).

fof(f667,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_12
    | spl0_13
    | ~ spl0_15 ),
    inference(superposition,[],[f638,f1]) ).

fof(f638,plain,
    ( ! [X9] :
        ( identity != multiply(identity,multiply(X9,identity))
        | identity != inverse(X9) )
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_12
    | spl0_13
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f637,f342]) ).

fof(f637,plain,
    ( ! [X9] :
        ( sk_c9 != multiply(sk_c9,multiply(X9,sk_c9))
        | identity != inverse(X9) )
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_12
    | spl0_13
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f636,f386]) ).

fof(f636,plain,
    ( ! [X9] :
        ( identity != inverse(X9)
        | sk_c9 != multiply(sk_c8,multiply(X9,sk_c8)) )
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_12
    | spl0_13
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f635,f342]) ).

fof(f635,plain,
    ( ! [X9] :
        ( sk_c9 != inverse(X9)
        | sk_c9 != multiply(sk_c8,multiply(X9,sk_c8)) )
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_12
    | spl0_13 ),
    inference(forward_demodulation,[],[f105,f386]) ).

fof(f574,plain,
    ( ~ spl0_1
    | ~ spl0_12
    | spl0_13
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f573]) ).

fof(f573,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_12
    | spl0_13
    | spl0_15 ),
    inference(subsumption_resolution,[],[f572,f343]) ).

fof(f570,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | ~ spl0_12
    | spl0_13
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f569]) ).

fof(f569,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_12
    | spl0_13
    | spl0_15 ),
    inference(subsumption_resolution,[],[f568,f343]) ).

fof(f567,plain,
    ( ~ spl0_1
    | spl0_13
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f566]) ).

fof(f566,plain,
    ( $false
    | ~ spl0_1
    | spl0_13
    | spl0_15 ),
    inference(subsumption_resolution,[],[f565,f343]) ).

fof(f388,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_12
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f387]) ).

fof(f387,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_12
    | spl0_13 ),
    inference(subsumption_resolution,[],[f386,f376]) ).

fof(f376,plain,
    ( sk_c9 != sk_c8
    | ~ spl0_5
    | ~ spl0_12
    | spl0_13 ),
    inference(forward_demodulation,[],[f374,f321]) ).

fof(f374,plain,
    ( sk_c8 != inverse(sk_c3)
    | ~ spl0_5
    | spl0_13 ),
    inference(trivial_inequality_removal,[],[f370]) ).

fof(f370,plain,
    ( sk_c9 != sk_c9
    | sk_c8 != inverse(sk_c3)
    | ~ spl0_5
    | spl0_13 ),
    inference(superposition,[],[f102,f357]) ).

fof(f367,plain,
    ( ~ spl0_3
    | ~ spl0_8
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f366]) ).

fof(f366,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_8
    | spl0_13 ),
    inference(subsumption_resolution,[],[f365,f185]) ).

fof(f365,plain,
    ( sk_c9 != inverse(sk_c2)
    | ~ spl0_3
    | spl0_13 ),
    inference(trivial_inequality_removal,[],[f361]) ).

fof(f361,plain,
    ( sk_c8 != sk_c8
    | sk_c9 != inverse(sk_c2)
    | ~ spl0_3
    | spl0_13 ),
    inference(superposition,[],[f96,f353]) ).

fof(f351,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f350]) ).

fof(f350,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | spl0_13 ),
    inference(subsumption_resolution,[],[f349,f51]) ).

fof(f349,plain,
    ( sk_c10 != inverse(sk_c1)
    | ~ spl0_7
    | spl0_13 ),
    inference(trivial_inequality_removal,[],[f346]) ).

fof(f346,plain,
    ( sk_c9 != sk_c9
    | sk_c10 != inverse(sk_c1)
    | ~ spl0_7
    | spl0_13 ),
    inference(superposition,[],[f108,f345]) ).

fof(f344,plain,
    ( ~ spl0_14
    | ~ spl0_15
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f226,f107,f341,f337]) ).

fof(f326,plain,
    ( spl0_12
    | spl0_13 ),
    inference(avatar_split_clause,[],[f38,f323,f319]) ).

fof(f317,plain,
    ( ~ spl0_10
    | ~ spl0_11
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f225,f107,f314,f310]) ).

fof(f310,plain,
    ( spl0_10
  <=> sk_c10 = inverse(identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f314,plain,
    ( spl0_11
  <=> sk_c10 = sk_c9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f225,plain,
    ( sk_c10 != sk_c9
    | sk_c10 != inverse(identity)
    | ~ spl0_7 ),
    inference(superposition,[],[f108,f1]) ).

fof(f292,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(avatar_contradiction_clause,[],[f291]) ).

fof(f291,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f290,f55]) ).

fof(f290,plain,
    ( sk_c10 != inverse(sk_c4)
    | spl0_1
    | ~ spl0_7 ),
    inference(trivial_inequality_removal,[],[f287]) ).

fof(f287,plain,
    ( sk_c9 != sk_c9
    | sk_c10 != inverse(sk_c4)
    | spl0_1
    | ~ spl0_7 ),
    inference(superposition,[],[f108,f256]) ).

fof(f253,plain,
    ( spl0_1
    | ~ spl0_7
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f252]) ).

fof(f252,plain,
    ( $false
    | spl0_1
    | ~ spl0_7
    | spl0_9 ),
    inference(global_subsumption,[],[f50,f26,f33,f19,f40,f5,f1,f2,f12,f3,f76,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f45,f42,f37,f36,f34,f32,f30,f29,f27,f25,f24,f21,f10,f7,f38,f35,f31,f14,f28,f188,f196,f197,f199,f202,f204,f206,f208,f210,f212,f211,f213,f108,f225,f226,f227,f228,f16,f15,f13,f11,f17,f243]) ).

fof(f228,plain,
    ( sk_c10 != inverse(sk_c1)
    | ~ spl0_7
    | spl0_9 ),
    inference(trivial_inequality_removal,[],[f224]) ).

fof(f224,plain,
    ( sk_c9 != sk_c9
    | sk_c10 != inverse(sk_c1)
    | ~ spl0_7
    | spl0_9 ),
    inference(superposition,[],[f108,f202]) ).

fof(f227,plain,
    ( ! [X0,X1] :
        ( sk_c9 != multiply(X0,multiply(X1,sk_c10))
        | sk_c10 != inverse(multiply(X0,X1)) )
    | ~ spl0_7 ),
    inference(superposition,[],[f108,f3]) ).

fof(f251,plain,
    ( spl0_1
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f250]) ).

fof(f250,plain,
    ( $false
    | spl0_1
    | spl0_9 ),
    inference(subsumption_resolution,[],[f58,f188]) ).

fof(f249,plain,
    ( spl0_1
    | ~ spl0_7
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f248]) ).

fof(f248,plain,
    ( $false
    | spl0_1
    | ~ spl0_7
    | spl0_9 ),
    inference(global_subsumption,[],[f60,f26,f33,f19,f40,f5,f1,f2,f12,f3,f76,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f45,f42,f37,f36,f34,f32,f30,f29,f27,f25,f24,f21,f10,f7,f38,f35,f31,f14,f28,f188,f196,f197,f199,f202,f204,f206,f208,f210,f212,f211,f213,f108,f225,f226,f227,f228,f16,f15,f13,f11,f17,f243]) ).

fof(f247,plain,
    ( spl0_1
    | ~ spl0_7
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f246]) ).

fof(f246,plain,
    ( $false
    | spl0_1
    | ~ spl0_7
    | spl0_9 ),
    inference(global_subsumption,[],[f92,f26,f33,f19,f40,f5,f1,f2,f12,f3,f76,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f45,f42,f37,f36,f34,f32,f30,f29,f27,f25,f24,f21,f10,f7,f38,f35,f31,f14,f28,f188,f196,f197,f199,f202,f204,f206,f208,f210,f212,f211,f213,f108,f225,f226,f227,f228,f16,f15,f13,f11,f17,f243]) ).

fof(f245,plain,
    ( ~ spl0_7
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f244]) ).

fof(f244,plain,
    ( $false
    | ~ spl0_7
    | spl0_9 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f3,f76,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f45,f42,f37,f36,f34,f32,f30,f29,f27,f25,f24,f21,f10,f7,f38,f35,f31,f14,f28,f188,f196,f197,f199,f202,f204,f206,f208,f210,f212,f211,f213,f108,f225,f226,f227,f228,f16,f15,f13,f11,f17,f243]) ).

fof(f242,plain,
    ( ~ spl0_7
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f241]) ).

fof(f241,plain,
    ( $false
    | ~ spl0_7
    | spl0_9 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f3,f76,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f45,f42,f37,f36,f34,f32,f30,f29,f27,f25,f24,f21,f10,f7,f38,f35,f31,f14,f28,f188,f196,f197,f199,f202,f204,f206,f208,f210,f212,f211,f213,f108,f225,f226,f227,f228,f16,f15,f13,f11,f17]) ).

fof(f240,plain,
    ( ~ spl0_7
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f239]) ).

fof(f239,plain,
    ( $false
    | ~ spl0_7
    | spl0_9 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f3,f76,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f45,f42,f37,f36,f34,f32,f30,f29,f27,f25,f24,f21,f10,f7,f38,f35,f31,f17,f14,f28,f188,f196,f197,f199,f202,f204,f206,f208,f210,f212,f211,f213,f108,f225,f226,f227,f228,f16,f15,f13,f11]) ).

fof(f238,plain,
    ( ~ spl0_7
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f237]) ).

fof(f237,plain,
    ( $false
    | ~ spl0_7
    | spl0_9 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f3,f76,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f45,f42,f37,f36,f34,f32,f30,f29,f27,f25,f24,f21,f11,f10,f7,f38,f35,f31,f17,f14,f28,f188,f196,f197,f199,f202,f204,f206,f208,f210,f212,f211,f213,f108,f225,f226,f227,f228,f16,f15,f13]) ).

fof(f236,plain,
    ( ~ spl0_7
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f235]) ).

fof(f235,plain,
    ( $false
    | ~ spl0_7
    | spl0_9 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f3,f76,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f45,f42,f37,f36,f34,f32,f30,f29,f27,f25,f24,f21,f13,f11,f10,f7,f38,f35,f31,f17,f14,f28,f188,f196,f197,f199,f202,f204,f206,f208,f210,f212,f211,f213,f108,f225,f226,f227,f228,f16,f15]) ).

fof(f234,plain,
    ( ~ spl0_7
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f233]) ).

fof(f233,plain,
    ( $false
    | ~ spl0_7
    | spl0_9 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f3,f76,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f45,f42,f37,f36,f34,f32,f30,f29,f27,f25,f24,f21,f15,f13,f11,f10,f7,f38,f35,f31,f17,f14,f28,f188,f196,f197,f199,f202,f204,f206,f208,f210,f212,f211,f213,f108,f225,f226,f227,f228,f16]) ).

fof(f232,plain,
    ( ~ spl0_7
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f231]) ).

fof(f231,plain,
    ( $false
    | ~ spl0_7
    | spl0_9 ),
    inference(global_subsumption,[],[f26,f33,f19,f40,f5,f1,f2,f12,f3,f76,f47,f44,f43,f41,f39,f23,f22,f20,f18,f9,f8,f6,f4,f45,f42,f37,f36,f34,f32,f30,f29,f27,f25,f24,f21,f16,f15,f13,f11,f10,f7,f38,f35,f31,f17,f14,f28,f188,f196,f197,f199,f202,f204,f206,f208,f210,f212,f211,f213,f108,f225,f226,f227,f228]) ).

fof(f230,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f229]) ).

fof(f229,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | spl0_9 ),
    inference(subsumption_resolution,[],[f228,f51]) ).

fof(f222,plain,
    ( ~ spl0_4
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f221]) ).

fof(f221,plain,
    ( $false
    | ~ spl0_4
    | spl0_9 ),
    inference(subsumption_resolution,[],[f219,f196]) ).

fof(f219,plain,
    ( sk_c9 != inverse(sk_c3)
    | ~ spl0_4
    | spl0_9 ),
    inference(trivial_inequality_removal,[],[f215]) ).

fof(f215,plain,
    ( sk_c9 != sk_c9
    | sk_c9 != inverse(sk_c3)
    | ~ spl0_4
    | spl0_9 ),
    inference(superposition,[],[f99,f210]) ).

fof(f190,plain,
    ( spl0_8
    | spl0_9 ),
    inference(avatar_split_clause,[],[f28,f187,f183]) ).

fof(f176,plain,
    ( spl0_1
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f175]) ).

fof(f175,plain,
    ( $false
    | spl0_1
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f174,f92]) ).

fof(f174,plain,
    ( sk_c9 != sk_c8
    | spl0_1
    | ~ spl0_4 ),
    inference(superposition,[],[f168,f58]) ).

fof(f168,plain,
    ( sk_c9 != inverse(sk_c5)
    | spl0_1
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f161]) ).

fof(f161,plain,
    ( sk_c9 != sk_c9
    | sk_c9 != inverse(sk_c5)
    | spl0_1
    | ~ spl0_4 ),
    inference(superposition,[],[f158,f112]) ).

fof(f158,plain,
    ( ! [X5] :
        ( sk_c9 != multiply(X5,sk_c9)
        | sk_c9 != inverse(X5) )
    | spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f99,f92]) ).

fof(f157,plain,
    ( spl0_1
    | ~ spl0_3 ),
    inference(avatar_contradiction_clause,[],[f156]) ).

fof(f156,plain,
    ( $false
    | spl0_1
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f155,f92]) ).

fof(f155,plain,
    ( sk_c9 != sk_c8
    | spl0_1
    | ~ spl0_3 ),
    inference(superposition,[],[f149,f58]) ).

fof(f149,plain,
    ( sk_c9 != inverse(sk_c5)
    | spl0_1
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f142]) ).

fof(f142,plain,
    ( sk_c9 != sk_c9
    | sk_c9 != inverse(sk_c5)
    | spl0_1
    | ~ spl0_3 ),
    inference(superposition,[],[f139,f112]) ).

fof(f139,plain,
    ( ! [X4] :
        ( sk_c9 != multiply(X4,sk_c9)
        | sk_c9 != inverse(X4) )
    | spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f96,f92]) ).

fof(f109,plain,
    ( spl0_3
    | spl0_4
    | spl0_5
    | spl0_6
    | spl0_7
    | spl0_7 ),
    inference(avatar_split_clause,[],[f47,f107,f107,f104,f101,f98,f95]) ).

fof(f56,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f12,f53,f49]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GRP252-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n017.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Apr 30 03:59:19 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  % (22136)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38  % (22137)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.39  % (22138)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.39  % (22139)WARNING: value z3 for option sas not known
% 0.22/0.39  TRYING [1]
% 0.22/0.39  % (22140)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.39  % (22142)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.22/0.39  % (22143)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.22/0.39  % (22139)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.39  % (22141)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.22/0.39  TRYING [2]
% 0.22/0.40  TRYING [1]
% 0.22/0.40  TRYING [3]
% 0.22/0.40  TRYING [2]
% 0.22/0.40  TRYING [3]
% 0.22/0.42  TRYING [4]
% 0.22/0.43  TRYING [4]
% 0.22/0.44  TRYING [5]
% 0.22/0.49  TRYING [6]
% 0.22/0.51  % (22139)First to succeed.
% 1.26/0.53  % (22139)Refutation found. Thanks to Tanya!
% 1.26/0.53  % SZS status Unsatisfiable for theBenchmark
% 1.26/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 1.33/0.55  % (22139)------------------------------
% 1.33/0.55  % (22139)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.33/0.55  % (22139)Termination reason: Refutation
% 1.33/0.55  
% 1.33/0.55  % (22139)Memory used [KB]: 2171
% 1.33/0.55  % (22139)Time elapsed: 0.144 s
% 1.33/0.55  % (22139)Instructions burned: 294 (million)
% 1.33/0.55  % (22139)------------------------------
% 1.33/0.55  % (22139)------------------------------
% 1.33/0.55  % (22136)Success in time 0.175 s
%------------------------------------------------------------------------------