%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GRP363-1 : 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 : n006.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 06:05:49 EDT 2024

% Result   : Unsatisfiable 0.21s 0.50s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   32
%            Number of leaves      :   39
% Syntax   : Number of formulae    : 1155 ( 113 unt;   0 def)
%            Number of atoms       : 4522 (1547 equ)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives : 6087 (2720   ~;3356   |;   0   &)
%                                         (  11 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   5 avg)
%            Maximal term depth    :    7 (   1 avg)
%            Number of predicates  :   13 (  11 usr;  12 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :  586 ( 586   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3053,plain,
    $false,
    inference(avatar_sat_refutation,[],[f38,f152,f179,f549,f567,f696,f728,f856,f880,f883,f887,f1743,f1856,f1908,f1927,f1929,f1931,f1933,f1935,f1937,f1940,f1943,f1947,f1950,f1952,f1954,f1956,f1958,f1961,f1963,f1966,f1968,f1971,f1973,f1976,f1978,f1980,f1982,f1984,f1986,f1988,f1990,f1992,f1994,f1996,f1998,f2000,f2002,f2004,f2006,f2008,f2011,f2015,f2020,f2024,f2026,f2028,f2030,f2032,f2034,f2036,f2038,f2041,f2045,f2049,f2052,f2054,f2056,f2060,f2063,f2065,f2067,f2070,f2073,f2075,f2077,f2079,f2135,f2137,f2210,f2212,f2215,f2259,f2264,f2266,f2277,f2280,f2284,f2291,f2294,f2297,f2300,f2302,f2304,f2306,f2309,f2311,f2313,f2317,f2321,f2325,f2328,f2332,f2337,f2343,f2348,f2352,f2356,f2362,f2366,f2371,f2376,f2383,f2390,f2403,f2408,f2410,f2412,f2415,f2417,f2420,f2539,f2544,f2574,f2578,f2580,f2585,f2589,f2591,f2593,f2595,f2598,f2600,f2611,f2727,f2745,f2751,f2758,f2765,f2767,f2795,f2797,f2799,f2801,f2803,f2805,f2807,f2809,f2811,f2814,f2816,f2819,f2821,f2823,f2825,f2827,f2829,f2831,f2833,f2929,f2984,f3021,f3051]) ).

fof(f3051,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3050]) ).

fof(f3050,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | spl0_11 ),
    inference(subsumption_resolution,[],[f3049,f2881]) ).

fof(f2881,plain,
    ( sk_c6 != sk_c4
    | spl0_11 ),
    inference(superposition,[],[f854,f1]) ).

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

fof(f854,plain,
    ( sk_c6 != multiply(identity,sk_c4)
    | spl0_11 ),
    inference(avatar_component_clause,[],[f853]) ).

fof(f853,plain,
    ( spl0_11
  <=> sk_c6 = multiply(identity,sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f3049,plain,
    ( sk_c6 = sk_c4
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f3048,f3038]) ).

fof(f3038,plain,
    ( sk_c6 = sk_c7
    | spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f3037,f2835]) ).

fof(f2835,plain,
    ( sk_c6 = multiply(sk_c7,sk_c4)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f26,f25,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f13,f14,f19,f20,f353,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f24,f23,f22,f15,f10,f11,f29,f9,f16,f17,f2633,f5,f2634,f6,f2635,f21,f18,f2626,f36,f4,f8,f2615,f2621,f7]) ).

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

fof(f2621,plain,
    ( sk_c7 = multiply(sk_c2,sk_c6)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f26,f25,f6,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f13,f14,f29,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f353,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f18,f24,f23,f2615,f22,f36,f15,f10,f11]) ).

fof(f2615,plain,
    ( sk_c7 = multiply(sk_c2,sk_c6)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f26,f25,f22,f6,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f36,f15,f10,f11,f13,f14,f29,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f353,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f18,f24,f23]) ).

fof(f8,axiom,
    ( sk_c4 = multiply(sk_c3,sk_c7)
    | multiply(sk_c6,sk_c5) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).

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

fof(f36,plain,
    ( sk_c5 != inverse(sk_c6)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f35]) ).

fof(f35,plain,
    ( spl0_2
  <=> sk_c5 = inverse(sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f2626,plain,
    ( sk_c5 != inverse(sk_c6)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f26,f25,f6,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f13,f14,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f353,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f18,f24,f23,f2615,f22,f36,f15,f10,f11,f2621,f29]) ).

fof(f18,axiom,
    ( sk_c6 = inverse(sk_c2)
    | sk_c5 = multiply(sk_c1,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).

fof(f21,axiom,
    ( sk_c7 = inverse(sk_c3)
    | sk_c5 = multiply(sk_c1,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).

fof(f2635,plain,
    ( sk_c6 = inverse(sk_c2)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f26,f25,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f13,f14,f19,f20,f8,f7,f21,f353,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f18,f24,f23,f2615,f22,f36,f15,f10,f11,f2621,f29,f2626,f4,f9,f16,f17,f2633,f5,f2634,f6]) ).

fof(f6,axiom,
    ( sk_c6 = inverse(sk_c2)
    | multiply(sk_c6,sk_c5) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).

fof(f2634,plain,
    ( sk_c7 = multiply(sk_c2,sk_c6)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f26,f25,f6,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f13,f14,f19,f20,f8,f7,f21,f353,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f18,f24,f23,f2615,f22,f36,f15,f10,f11,f2621,f29,f2626,f4,f9,f16,f17,f2633,f5]) ).

fof(f5,axiom,
    ( sk_c7 = multiply(sk_c2,sk_c6)
    | multiply(sk_c6,sk_c5) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).

fof(f2633,plain,
    ( sk_c7 = multiply(sk_c2,sk_c6)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f26,f25,f6,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f13,f14,f19,f20,f8,f7,f5,f21,f353,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f18,f24,f23,f2615,f22,f36,f15,f10,f11,f2621,f29,f2626,f4,f9,f16,f17]) ).

fof(f17,axiom,
    ( sk_c5 = multiply(sk_c1,sk_c6)
    | sk_c7 = multiply(sk_c2,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).

fof(f16,axiom,
    ( sk_c5 = multiply(sk_c1,sk_c6)
    | sk_c5 = multiply(sk_c6,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).

fof(f9,axiom,
    ( sk_c7 = inverse(sk_c3)
    | multiply(sk_c6,sk_c5) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).

fof(f29,plain,
    ! [X3,X6,X4] :
      ( sk_c5 != inverse(sk_c6)
      | sk_c7 != inverse(X6)
      | sk_c6 != inverse(X3)
      | sk_c6 != inverse(X4)
      | sk_c5 != multiply(sk_c6,sk_c7)
      | sk_c5 != multiply(X3,sk_c6)
      | sk_c7 != multiply(X4,sk_c6)
      | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7))
      | multiply(sk_c6,sk_c5) != sk_c7 ),
    inference(equality_resolution,[],[f28]) ).

fof(f28,axiom,
    ! [X3,X6,X4,X5] :
      ( sk_c5 != inverse(sk_c6)
      | sk_c7 != inverse(X6)
      | sk_c6 != inverse(X3)
      | sk_c6 != inverse(X4)
      | sk_c5 != multiply(sk_c6,sk_c7)
      | sk_c5 != multiply(X3,sk_c6)
      | sk_c7 != multiply(X4,sk_c6)
      | sk_c6 != multiply(sk_c7,X5)
      | multiply(sk_c6,sk_c5) != sk_c7
      | multiply(X6,sk_c7) != X5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).

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

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

fof(f15,axiom,
    ( sk_c5 = inverse(sk_c6)
    | sk_c7 = inverse(sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).

fof(f22,axiom,
    ( sk_c6 = inverse(sk_c1)
    | sk_c5 = multiply(sk_c6,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).

fof(f23,axiom,
    ( sk_c6 = inverse(sk_c1)
    | sk_c7 = multiply(sk_c2,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).

fof(f24,axiom,
    ( sk_c6 = inverse(sk_c2)
    | sk_c6 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).

fof(f1703,plain,
    ! [X0,X1] : multiply(X1,X0) = inverse(multiply(inverse(X0),inverse(X1))),
    inference(superposition,[],[f1292,f1507]) ).

fof(f1701,plain,
    ! [X2,X0,X1] : multiply(X1,X2) = multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,X2)),
    inference(superposition,[],[f3,f1507]) ).

fof(f1697,plain,
    ! [X0,X1] : multiply(X1,inverse(X0)) = inverse(multiply(X0,inverse(X1))),
    inference(superposition,[],[f1188,f1507]) ).

fof(f1691,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(X0,multiply(X1,inverse(X2)))),multiply(X0,X1)) = X2,
    inference(superposition,[],[f1507,f3]) ).

fof(f1507,plain,
    ! [X0,X1] : multiply(inverse(multiply(X1,inverse(X0))),X1) = X0,
    inference(forward_demodulation,[],[f1454,f387]) ).

fof(f1454,plain,
    ! [X0,X1] : multiply(inverse(multiply(X1,inverse(X0))),inverse(inverse(X1))) = X0,
    inference(superposition,[],[f1108,f1104]) ).

fof(f1600,plain,
    ! [X0,X1] : inverse(multiply(inverse(X0),X1)) = multiply(inverse(X1),X0),
    inference(superposition,[],[f1292,f1192]) ).

fof(f1598,plain,
    ! [X2,X0,X1] : multiply(inverse(X1),X2) = multiply(inverse(multiply(X0,X1)),multiply(X0,X2)),
    inference(superposition,[],[f3,f1192]) ).

fof(f1594,plain,
    ! [X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(X1),inverse(X0)),
    inference(superposition,[],[f1188,f1192]) ).

fof(f1575,plain,
    ! [X0,X1] : inverse(multiply(inverse(X0),X1)) = multiply(inverse(X1),X0),
    inference(superposition,[],[f1192,f374]) ).

fof(f1574,plain,
    ! [X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(X1),inverse(X0)),
    inference(superposition,[],[f1192,f51]) ).

fof(f1565,plain,
    ! [X2,X0,X1] : inverse(X2) = multiply(inverse(multiply(X0,multiply(X1,X2))),multiply(X0,X1)),
    inference(superposition,[],[f1192,f3]) ).

fof(f1192,plain,
    ! [X0,X1] : inverse(X0) = multiply(inverse(multiply(X1,X0)),X1),
    inference(forward_demodulation,[],[f1127,f387]) ).

fof(f1127,plain,
    ! [X0,X1] : inverse(X0) = multiply(inverse(multiply(X1,X0)),inverse(inverse(X1))),
    inference(superposition,[],[f1104,f1104]) ).

fof(f1477,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,inverse(multiply(inverse(X2),multiply(X0,X1))))) = X2,
    inference(superposition,[],[f3,f1108]) ).

fof(f1476,plain,
    ! [X0,X1] : multiply(X0,X1) = inverse(multiply(inverse(X1),inverse(X0))),
    inference(superposition,[],[f374,f1108]) ).

fof(f1474,plain,
    ! [X2,X0,X1] : multiply(X1,X2) = multiply(X0,multiply(inverse(multiply(inverse(X1),X0)),X2)),
    inference(superposition,[],[f3,f1108]) ).

fof(f1473,plain,
    ! [X0,X1] : multiply(inverse(X0),X1) = inverse(multiply(inverse(X1),X0)),
    inference(superposition,[],[f51,f1108]) ).

fof(f1472,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(inverse(multiply(inverse(X1),X0)),inverse(X1))),
    inference(superposition,[],[f462,f1108]) ).

fof(f1471,plain,
    ! [X0,X1] : inverse(X0) = multiply(inverse(multiply(inverse(X1),X0)),inverse(X1)),
    inference(superposition,[],[f1104,f1108]) ).

fof(f1459,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,inverse(multiply(inverse(X2),multiply(X0,X1))))) = X2,
    inference(superposition,[],[f1108,f3]) ).

fof(f1455,plain,
    ! [X0,X1] : multiply(inverse(multiply(inverse(X1),inverse(X0))),inverse(X1)) = X0,
    inference(superposition,[],[f1108,f1108]) ).

fof(f1108,plain,
    ! [X0,X1] : multiply(X1,inverse(multiply(inverse(X0),X1))) = X0,
    inference(forward_demodulation,[],[f1006,f373]) ).

fof(f1006,plain,
    ! [X0,X1] : multiply(X0,identity) = multiply(X1,inverse(multiply(inverse(X0),X1))),
    inference(superposition,[],[f374,f462]) ).

fof(f1400,plain,
    ! [X2,X0,X1] : multiply(X0,X2) = multiply(multiply(X0,inverse(X1)),multiply(X1,X2)),
    inference(superposition,[],[f3,f1292]) ).

fof(f1399,plain,
    ! [X0,X1] : multiply(inverse(multiply(X0,inverse(X1))),X0) = X1,
    inference(superposition,[],[f51,f1292]) ).

fof(f1398,plain,
    ! [X0,X1] : identity = multiply(multiply(X0,inverse(X1)),multiply(X1,inverse(X0))),
    inference(superposition,[],[f462,f1292]) ).

fof(f1397,plain,
    ! [X0,X1] : multiply(X1,inverse(X0)) = inverse(multiply(X0,inverse(X1))),
    inference(superposition,[],[f1104,f1292]) ).

fof(f1394,plain,
    ! [X2,X0,X1] : multiply(X0,X1) = multiply(multiply(X0,multiply(X1,inverse(X2))),X2),
    inference(superposition,[],[f1292,f3]) ).

fof(f1292,plain,
    ! [X0,X1] : multiply(multiply(X1,inverse(X0)),X0) = X1,
    inference(superposition,[],[f1188,f387]) ).

fof(f1304,plain,
    ! [X2,X0,X1] : multiply(multiply(X0,X1),multiply(inverse(X1),X2)) = multiply(X0,X2),
    inference(superposition,[],[f3,f1188]) ).

fof(f1303,plain,
    ! [X0,X1] : inverse(X1) = multiply(inverse(multiply(X0,X1)),X0),
    inference(superposition,[],[f51,f1188]) ).

fof(f1302,plain,
    ! [X0,X1] : identity = multiply(multiply(X0,X1),multiply(inverse(X1),inverse(X0))),
    inference(superposition,[],[f462,f1188]) ).

fof(f1301,plain,
    ! [X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(X1),inverse(X0)),
    inference(superposition,[],[f1104,f1188]) ).

fof(f1276,plain,
    ! [X0,X1] : multiply(X1,inverse(multiply(inverse(X0),X1))) = X0,
    inference(superposition,[],[f1188,f374]) ).

fof(f1266,plain,
    ! [X2,X0,X1] : multiply(X0,X1) = multiply(multiply(X0,multiply(X1,X2)),inverse(X2)),
    inference(superposition,[],[f1188,f3]) ).

fof(f1188,plain,
    ! [X0,X1] : multiply(multiply(X0,X1),inverse(X1)) = X0,
    inference(forward_demodulation,[],[f1123,f387]) ).

fof(f1123,plain,
    ! [X0,X1] : inverse(inverse(X0)) = multiply(multiply(X0,X1),inverse(X1)),
    inference(superposition,[],[f1104,f51]) ).

fof(f1154,plain,
    ! [X2,X0,X1] : inverse(X2) = multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1))))),
    inference(superposition,[],[f3,f1104]) ).

fof(f1153,plain,
    ! [X0,X1] : inverse(multiply(X1,inverse(X0))) = multiply(X0,inverse(X1)),
    inference(superposition,[],[f374,f1104]) ).

fof(f1151,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(inverse(multiply(X1,X0)),X2)) = multiply(inverse(X1),X2),
    inference(superposition,[],[f3,f1104]) ).

fof(f1150,plain,
    ! [X0,X1] : inverse(multiply(X1,X0)) = multiply(inverse(X0),inverse(X1)),
    inference(superposition,[],[f51,f1104]) ).

fof(f1242,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(inverse(multiply(X1,X0)),X1)),
    inference(forward_demodulation,[],[f1149,f387]) ).

fof(f1149,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(inverse(multiply(X1,X0)),inverse(inverse(X1)))),
    inference(superposition,[],[f462,f1104]) ).

fof(f1140,plain,
    ! [X2,X0,X1] : inverse(X2) = multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1))))),
    inference(superposition,[],[f1104,f3]) ).

fof(f1124,plain,
    ! [X0,X1] : inverse(X0) = multiply(multiply(inverse(X0),X1),inverse(X1)),
    inference(superposition,[],[f1104,f374]) ).

fof(f1114,plain,
    ! [X2,X0,X1] : inverse(multiply(X0,X1)) = multiply(X2,inverse(multiply(X0,multiply(X1,X2)))),
    inference(superposition,[],[f1104,f3]) ).

fof(f1104,plain,
    ! [X0,X1] : inverse(X0) = multiply(X1,inverse(multiply(X0,X1))),
    inference(forward_demodulation,[],[f1003,f373]) ).

fof(f1003,plain,
    ! [X0,X1] : multiply(inverse(X0),identity) = multiply(X1,inverse(multiply(X0,X1))),
    inference(superposition,[],[f51,f462]) ).

fof(f1109,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(X0,multiply(X1,X2)))))),
    inference(forward_demodulation,[],[f1007,f3]) ).

fof(f1007,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(multiply(X0,X1),X2))))),
    inference(superposition,[],[f3,f462]) ).

fof(f1106,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
    inference(forward_demodulation,[],[f1105,f1]) ).

fof(f1105,plain,
    ! [X2,X0,X1] : multiply(identity,X2) = multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))),
    inference(forward_demodulation,[],[f1004,f3]) ).

fof(f1004,plain,
    ! [X2,X0,X1] : multiply(identity,X2) = multiply(X0,multiply(multiply(X1,inverse(multiply(X0,X1))),X2)),
    inference(superposition,[],[f3,f462]) ).

fof(f1069,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(X0,multiply(X1,X2)))))),
    inference(forward_demodulation,[],[f987,f3]) ).

fof(f987,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(multiply(X0,X1),X2))))),
    inference(superposition,[],[f462,f3]) ).

fof(f976,plain,
    ! [X2,X0,X1] : identity = multiply(X2,multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1)))))),
    inference(superposition,[],[f462,f3]) ).

fof(f951,plain,
    ! [X2,X0,X1] : identity = multiply(multiply(X0,X1),multiply(X2,inverse(multiply(X0,multiply(X1,X2))))),
    inference(superposition,[],[f462,f3]) ).

fof(f462,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
    inference(superposition,[],[f372,f3]) ).

fof(f353,plain,
    identity = inverse(identity),
    inference(superposition,[],[f341,f289]) ).

fof(f20,axiom,
    ( sk_c4 = multiply(sk_c3,sk_c7)
    | sk_c5 = multiply(sk_c1,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).

fof(f19,axiom,
    ( sk_c5 = multiply(sk_c1,sk_c6)
    | sk_c6 = multiply(sk_c7,sk_c4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).

fof(f14,axiom,
    ( sk_c5 = inverse(sk_c6)
    | sk_c4 = multiply(sk_c3,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).

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

fof(f288,plain,
    ! [X0] : multiply(inverse(identity),X0) = X0,
    inference(superposition,[],[f51,f1]) ).

fof(f356,plain,
    identity = inverse(identity),
    inference(superposition,[],[f289,f341]) ).

fof(f389,plain,
    identity = inverse(identity),
    inference(superposition,[],[f373,f2]) ).

fof(f552,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f390,f387]) ).

fof(f390,plain,
    identity = inverse(inverse(inverse(identity))),
    inference(superposition,[],[f373,f341]) ).

fof(f397,plain,
    identity = inverse(identity),
    inference(superposition,[],[f2,f373]) ).

fof(f551,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f398,f387]) ).

fof(f398,plain,
    identity = inverse(inverse(inverse(identity))),
    inference(superposition,[],[f341,f373]) ).

fof(f458,plain,
    identity = inverse(identity),
    inference(superposition,[],[f372,f1]) ).

fof(f463,plain,
    identity = inverse(identity),
    inference(superposition,[],[f1,f372]) ).

fof(f508,plain,
    ! [X0] : multiply(inverse(identity),X0) = X0,
    inference(superposition,[],[f374,f1]) ).

fof(f513,plain,
    ! [X0] : multiply(inverse(identity),X0) = X0,
    inference(superposition,[],[f1,f374]) ).

fof(f521,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
    inference(superposition,[],[f3,f374]) ).

fof(f512,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
    inference(superposition,[],[f374,f3]) ).

fof(f374,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f298,f51]) ).

fof(f472,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
    inference(superposition,[],[f3,f372]) ).

fof(f494,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(forward_demodulation,[],[f470,f1]) ).

fof(f470,plain,
    ! [X0,X1] : multiply(identity,X1) = multiply(X0,multiply(inverse(X0),X1)),
    inference(superposition,[],[f3,f372]) ).

fof(f372,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f298,f2]) ).

fof(f445,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f2,f387]) ).

fof(f444,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f51,f387]) ).

fof(f387,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(superposition,[],[f373,f289]) ).

fof(f417,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(forward_demodulation,[],[f406,f373]) ).

fof(f406,plain,
    ! [X0] : multiply(X0,identity) = inverse(inverse(X0)),
    inference(superposition,[],[f298,f373]) ).

fof(f395,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(superposition,[],[f289,f373]) ).

fof(f411,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(forward_demodulation,[],[f393,f373]) ).

fof(f393,plain,
    ! [X0] : multiply(X0,identity) = inverse(inverse(X0)),
    inference(superposition,[],[f373,f298]) ).

fof(f373,plain,
    ! [X0] : multiply(X0,identity) = X0,
    inference(superposition,[],[f298,f289]) ).

fof(f380,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f51,f298]) ).

fof(f379,plain,
    ! [X0] : multiply(X0,identity) = X0,
    inference(superposition,[],[f289,f298]) ).

fof(f377,plain,
    ! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
    inference(superposition,[],[f51,f298]) ).

fof(f376,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f2,f298]) ).

fof(f298,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
    inference(superposition,[],[f51,f51]) ).

fof(f366,plain,
    ! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f355,f1]) ).

fof(f355,plain,
    ! [X0,X1] : multiply(identity,X1) = multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)),
    inference(superposition,[],[f3,f341]) ).

fof(f354,plain,
    ! [X0] : multiply(inverse(inverse(inverse(inverse(X0)))),identity) = X0,
    inference(superposition,[],[f51,f341]) ).

fof(f341,plain,
    ! [X0] : identity = multiply(inverse(inverse(inverse(X0))),X0),
    inference(superposition,[],[f51,f289]) ).

fof(f348,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
    inference(forward_demodulation,[],[f342,f1]) ).

fof(f342,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),multiply(identity,X1)),
    inference(superposition,[],[f3,f289]) ).

fof(f289,plain,
    ! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[],[f51,f2]) ).

fof(f292,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
    inference(superposition,[],[f51,f3]) ).

fof(f51,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f45,f1]) ).

fof(f45,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[],[f3,f2]) ).

fof(f27,axiom,
    ( sk_c7 = inverse(sk_c3)
    | sk_c6 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).

fof(f25,axiom,
    ( sk_c6 = inverse(sk_c1)
    | sk_c6 = multiply(sk_c7,sk_c4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).

fof(f26,axiom,
    ( sk_c6 = inverse(sk_c1)
    | sk_c4 = multiply(sk_c3,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).

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

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

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

fof(f3037,plain,
    ( sk_c7 = multiply(sk_c7,sk_c4)
    | spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f3032,f178]) ).

fof(f178,plain,
    ( sk_c7 = inverse(sk_c3)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f176]) ).

fof(f176,plain,
    ( spl0_6
  <=> sk_c7 = inverse(sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f3032,plain,
    ( sk_c7 = multiply(inverse(sk_c3),sk_c4)
    | spl0_2 ),
    inference(superposition,[],[f51,f2837]) ).

fof(f2837,plain,
    ( sk_c4 = multiply(sk_c3,sk_c7)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f26,f25,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f13,f14,f19,f20,f353,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f24,f23,f22,f15,f10,f11,f29,f9,f16,f17,f2633,f5,f2634,f6,f2635,f21,f18,f2626,f36,f4,f2615,f2621,f7,f2835,f8]) ).

fof(f3048,plain,
    ( sk_c7 = sk_c4
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f3047,f2615]) ).

fof(f3047,plain,
    ( multiply(sk_c2,sk_c6) = sk_c4
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f3045,f3038]) ).

fof(f3045,plain,
    ( sk_c4 = multiply(sk_c2,sk_c7)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6 ),
    inference(superposition,[],[f2837,f3044]) ).

fof(f3044,plain,
    ( sk_c2 = sk_c3
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f3042,f437]) ).

fof(f437,plain,
    ( sk_c2 = inverse(sk_c6)
    | ~ spl0_1 ),
    inference(superposition,[],[f387,f33]) ).

fof(f33,plain,
    ( sk_c6 = inverse(sk_c2)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f31]) ).

fof(f31,plain,
    ( spl0_1
  <=> sk_c6 = inverse(sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f3042,plain,
    ( sk_c3 = inverse(sk_c6)
    | spl0_2
    | ~ spl0_6 ),
    inference(superposition,[],[f595,f3038]) ).

fof(f595,plain,
    ( sk_c3 = inverse(sk_c7)
    | ~ spl0_6 ),
    inference(superposition,[],[f387,f178]) ).

fof(f3021,plain,
    ( spl0_5
    | spl0_9
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3020]) ).

fof(f3020,plain,
    ( $false
    | spl0_5
    | spl0_9
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f3019,f694]) ).

fof(f694,plain,
    ( identity != sk_c7
    | spl0_9 ),
    inference(avatar_component_clause,[],[f693]) ).

fof(f693,plain,
    ( spl0_9
  <=> identity = sk_c7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f3019,plain,
    ( identity = sk_c7
    | spl0_5
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3013,f372]) ).

fof(f3013,plain,
    ( sk_c7 = multiply(sk_c6,inverse(sk_c6))
    | spl0_5
    | ~ spl0_11 ),
    inference(superposition,[],[f1188,f2373]) ).

fof(f2373,plain,
    ( sk_c6 = multiply(sk_c7,sk_c6)
    | spl0_5
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2372,f857]) ).

fof(f857,plain,
    ( sk_c6 = sk_c4
    | ~ spl0_11 ),
    inference(superposition,[],[f855,f1]) ).

fof(f855,plain,
    ( sk_c6 = multiply(identity,sk_c4)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f853]) ).

fof(f2372,plain,
    ( sk_c6 = multiply(sk_c7,sk_c4)
    | spl0_5 ),
    inference(subsumption_resolution,[],[f25,f173]) ).

fof(f173,plain,
    ( sk_c6 != inverse(sk_c1)
    | spl0_5 ),
    inference(avatar_component_clause,[],[f172]) ).

fof(f172,plain,
    ( spl0_5
  <=> sk_c6 = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f2984,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2983]) ).

fof(f2983,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_10
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f2982,f850]) ).

fof(f850,plain,
    ( identity != sk_c6
    | spl0_10 ),
    inference(avatar_component_clause,[],[f849]) ).

fof(f849,plain,
    ( spl0_10
  <=> identity = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f2982,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2979,f353]) ).

fof(f2979,plain,
    ( sk_c6 = inverse(identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(superposition,[],[f33,f2971]) ).

fof(f2971,plain,
    ( identity = sk_c2
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2965,f372]) ).

fof(f2965,plain,
    ( sk_c2 = multiply(sk_c6,inverse(sk_c6))
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(superposition,[],[f1188,f2934]) ).

fof(f2934,plain,
    ( sk_c6 = multiply(sk_c2,sk_c6)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2933,f2922]) ).

fof(f2922,plain,
    ( sk_c2 = sk_c3
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f2920,f437]) ).

fof(f2920,plain,
    ( sk_c3 = inverse(sk_c6)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f595,f2916]) ).

fof(f2916,plain,
    ( sk_c6 = sk_c7
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f2915,f2835]) ).

fof(f2915,plain,
    ( sk_c7 = multiply(sk_c7,sk_c4)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f2910,f178]) ).

fof(f2910,plain,
    ( sk_c7 = multiply(inverse(sk_c3),sk_c4)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f51,f2836]) ).

fof(f2836,plain,
    ( sk_c4 = multiply(sk_c3,sk_c7)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(global_subsumption,[],[f2812,f1,f2,f12,f3,f26,f25,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f13,f14,f19,f20,f353,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f24,f23,f22,f15,f10,f11,f29,f9,f16,f17,f2633,f5,f2634,f6,f2635,f21,f18,f2626,f36,f4,f8,f2615,f2621,f7,f2835]) ).

fof(f2812,plain,
    ( sk_c5 = multiply(sk_c2,sk_c6)
    | sk_c4 = multiply(sk_c3,sk_c7)
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f20,f2689]) ).

fof(f2689,plain,
    ( sk_c2 = sk_c1
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f438,f437]) ).

fof(f438,plain,
    ( inverse(sk_c6) = sk_c1
    | ~ spl0_5 ),
    inference(superposition,[],[f387,f174]) ).

fof(f174,plain,
    ( sk_c6 = inverse(sk_c1)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f172]) ).

fof(f2933,plain,
    ( sk_c6 = multiply(sk_c3,sk_c6)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2637,f2916]) ).

fof(f2637,plain,
    ( sk_c6 = multiply(sk_c3,sk_c7)
    | spl0_2
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f26,f25,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f13,f14,f19,f20,f8,f7,f21,f353,f858,f862,f860,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f18,f855,f857,f24,f2613,f23,f2615,f22,f2617,f36,f15,f10,f11,f2621,f2622,f2623,f2624,f2625,f29,f2626,f4,f9,f2404,f2629,f16,f2631,f17,f2633,f5,f2634,f6,f2635,f2338,f2333]) ).

fof(f2333,plain,
    ( sk_c6 = multiply(sk_c3,sk_c7)
    | multiply(sk_c6,sk_c5) = sk_c7
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f8,f857]) ).

fof(f2338,plain,
    ( sk_c6 = multiply(sk_c3,sk_c7)
    | sk_c5 = multiply(sk_c1,sk_c6)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f20,f857]) ).

fof(f2631,plain,
    ( sk_c6 = multiply(sk_c7,sk_c6)
    | sk_c5 = multiply(sk_c1,sk_c6)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f19,f857]) ).

fof(f2629,plain,
    ( sk_c6 = multiply(sk_c7,sk_c6)
    | spl0_2
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f26,f25,f6,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f13,f14,f16,f17,f19,f20,f8,f7,f5,f21,f353,f858,f862,f860,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f18,f855,f857,f24,f2613,f23,f2615,f22,f2617,f36,f15,f10,f11,f2621,f2622,f2623,f2624,f2625,f29,f2626,f4,f9,f2404]) ).

fof(f2404,plain,
    ( sk_c6 = multiply(sk_c7,sk_c6)
    | multiply(sk_c6,sk_c5) = sk_c7
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f7,f857]) ).

fof(f2625,plain,
    ( sk_c6 = multiply(sk_c3,sk_c7)
    | spl0_2
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f26,f25,f6,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f13,f14,f29,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f353,f858,f862,f860,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f18,f855,f857,f24,f2613,f23,f2615,f22,f2617,f36,f15,f10,f11,f2621,f2622,f2623,f2624]) ).

fof(f2624,plain,
    ( sk_c6 = multiply(sk_c3,sk_c7)
    | sk_c5 = inverse(sk_c6)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f14,f857]) ).

fof(f2623,plain,
    ( sk_c6 = multiply(sk_c7,sk_c6)
    | spl0_2
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f26,f25,f6,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f13,f14,f29,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f353,f858,f862,f860,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f18,f855,f857,f24,f2613,f23,f2615,f22,f2617,f36,f15,f10,f11,f2621,f2622]) ).

fof(f2622,plain,
    ( sk_c6 = multiply(sk_c7,sk_c6)
    | sk_c5 = inverse(sk_c6)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f13,f857]) ).

fof(f2617,plain,
    ( sk_c6 = multiply(sk_c7,sk_c6)
    | sk_c6 = inverse(sk_c1)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f25,f857]) ).

fof(f2613,plain,
    ( sk_c6 = multiply(sk_c3,sk_c7)
    | sk_c6 = inverse(sk_c1)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f26,f857]) ).

fof(f860,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(identity,multiply(sk_c4,X0))
    | ~ spl0_11 ),
    inference(superposition,[],[f3,f855]) ).

fof(f862,plain,
    ( sk_c6 = sk_c4
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f861,f1]) ).

fof(f861,plain,
    ( sk_c4 = multiply(identity,sk_c6)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f859,f353]) ).

fof(f859,plain,
    ( sk_c4 = multiply(inverse(identity),sk_c6)
    | ~ spl0_11 ),
    inference(superposition,[],[f51,f855]) ).

fof(f858,plain,
    ( sk_c6 = sk_c4
    | ~ spl0_11 ),
    inference(superposition,[],[f1,f855]) ).

fof(f2929,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2928]) ).

fof(f2928,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_11 ),
    inference(subsumption_resolution,[],[f2927,f2881]) ).

fof(f2927,plain,
    ( sk_c6 = sk_c4
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f2926,f2916]) ).

fof(f2926,plain,
    ( sk_c7 = sk_c4
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f2925,f2615]) ).

fof(f2925,plain,
    ( multiply(sk_c2,sk_c6) = sk_c4
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f2923,f2916]) ).

fof(f2923,plain,
    ( sk_c4 = multiply(sk_c2,sk_c7)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f2836,f2922]) ).

fof(f2833,plain,
    ( spl0_2
    | spl0_8
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2832]) ).

fof(f2832,plain,
    ( $false
    | spl0_2
    | spl0_8
    | spl0_9 ),
    inference(global_subsumption,[],[f694,f1,f2,f12,f3,f26,f25,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f13,f14,f19,f20,f353,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f24,f23,f22,f15,f10,f11,f29,f9,f16,f17,f2633,f5,f2634,f6,f2635,f21,f18,f2626,f36,f690,f4,f8,f7,f2621,f2615]) ).

fof(f690,plain,
    ( sk_c5 != multiply(sk_c6,sk_c7)
    | spl0_8 ),
    inference(avatar_component_clause,[],[f689]) ).

fof(f689,plain,
    ( spl0_8
  <=> sk_c5 = multiply(sk_c6,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f2831,plain,
    ( spl0_2
    | ~ spl0_6
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f2830]) ).

fof(f2830,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | spl0_8 ),
    inference(global_subsumption,[],[f178,f1,f2,f12,f3,f26,f25,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f13,f14,f19,f20,f353,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f24,f23,f22,f15,f10,f11,f29,f9,f16,f17,f2633,f5,f2634,f6,f2635,f21,f18,f2626,f36,f690,f4,f8,f7,f2621,f2615]) ).

fof(f2829,plain,
    ( spl0_2
    | ~ spl0_6
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f2828]) ).

fof(f2828,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | spl0_8 ),
    inference(global_subsumption,[],[f2619,f1,f2,f12,f3,f26,f25,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f13,f14,f19,f20,f353,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f24,f23,f22,f15,f10,f11,f29,f9,f16,f17,f2633,f5,f2634,f6,f2635,f21,f18,f2626,f36,f690,f4,f8,f7,f2621,f2615]) ).

fof(f2619,plain,
    ( sk_c7 = inverse(sk_c3)
    | ~ spl0_6 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f26,f25,f6,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f10,f11,f13,f14,f29,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f590,f591,f596,f610,f611,f619,f615,f616,f588,f627,f593,f638,f353,f589,f594,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f865,f1918,f18,f24,f23,f22,f595,f178,f15]) ).

fof(f1918,plain,
    ( identity = sk_c4
    | sk_c6 = inverse(sk_c1)
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f26,f593]) ).

fof(f865,plain,
    ( identity = sk_c4
    | sk_c5 = multiply(sk_c1,sk_c6)
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f20,f593]) ).

fof(f594,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c7,X0)) = X0
    | ~ spl0_6 ),
    inference(superposition,[],[f374,f178]) ).

fof(f589,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
    | ~ spl0_6 ),
    inference(superposition,[],[f51,f178]) ).

fof(f638,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c7,X0)) = X0
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f636,f1]) ).

fof(f636,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c3,multiply(sk_c7,X0))
    | ~ spl0_6 ),
    inference(superposition,[],[f3,f593]) ).

fof(f593,plain,
    ( identity = multiply(sk_c3,sk_c7)
    | ~ spl0_6 ),
    inference(superposition,[],[f372,f178]) ).

fof(f627,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f625,f1]) ).

fof(f625,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c3,X0))
    | ~ spl0_6 ),
    inference(superposition,[],[f3,f588]) ).

fof(f588,plain,
    ( identity = multiply(sk_c7,sk_c3)
    | ~ spl0_6 ),
    inference(superposition,[],[f2,f178]) ).

fof(f616,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
    | ~ spl0_6 ),
    inference(superposition,[],[f374,f595]) ).

fof(f615,plain,
    ( identity = multiply(sk_c7,sk_c3)
    | ~ spl0_6 ),
    inference(superposition,[],[f372,f595]) ).

fof(f619,plain,
    ( identity = multiply(sk_c3,sk_c7)
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f614,f387]) ).

fof(f614,plain,
    ( identity = multiply(inverse(inverse(sk_c3)),sk_c7)
    | ~ spl0_6 ),
    inference(superposition,[],[f341,f595]) ).

fof(f611,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c7,X0)) = X0
    | ~ spl0_6 ),
    inference(superposition,[],[f51,f595]) ).

fof(f610,plain,
    ( identity = multiply(sk_c3,sk_c7)
    | ~ spl0_6 ),
    inference(superposition,[],[f2,f595]) ).

fof(f596,plain,
    ( identity = multiply(sk_c7,sk_c3)
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f592,f387]) ).

fof(f592,plain,
    ( identity = multiply(inverse(inverse(sk_c7)),sk_c3)
    | ~ spl0_6 ),
    inference(superposition,[],[f341,f178]) ).

fof(f591,plain,
    ( ! [X0] : multiply(inverse(sk_c7),X0) = multiply(sk_c3,X0)
    | ~ spl0_6 ),
    inference(superposition,[],[f298,f178]) ).

fof(f590,plain,
    ( sk_c3 = multiply(inverse(sk_c7),identity)
    | ~ spl0_6 ),
    inference(superposition,[],[f289,f178]) ).

fof(f2827,plain,
    ( spl0_2
    | ~ spl0_6
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f2826]) ).

fof(f2826,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | spl0_8 ),
    inference(global_subsumption,[],[f2628,f1,f2,f12,f3,f26,f25,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f13,f14,f19,f20,f353,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f24,f23,f22,f15,f10,f11,f29,f9,f16,f17,f2633,f5,f2634,f6,f2635,f21,f18,f2626,f36,f690,f4,f8,f7,f2621,f2615]) ).

fof(f2628,plain,
    ( sk_c7 = inverse(sk_c3)
    | ~ spl0_6 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f26,f25,f6,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f13,f14,f16,f17,f19,f20,f8,f7,f5,f21,f590,f591,f596,f610,f611,f619,f615,f616,f588,f627,f593,f638,f353,f589,f594,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f865,f1918,f18,f24,f23,f22,f595,f178,f15,f2619,f10,f11,f29,f4,f9]) ).

fof(f2825,plain,
    ( spl0_2
    | ~ spl0_6
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f2824]) ).

fof(f2824,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | spl0_8 ),
    inference(global_subsumption,[],[f595,f1,f2,f12,f3,f26,f25,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f13,f14,f19,f20,f353,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f24,f23,f22,f15,f10,f11,f29,f9,f16,f17,f2633,f5,f2634,f6,f2635,f21,f18,f2626,f36,f690,f4,f8,f7,f2621,f2615]) ).

fof(f2823,plain,
    ( spl0_2
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f2822]) ).

fof(f2822,plain,
    ( $false
    | spl0_2
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f26,f25,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f13,f14,f19,f20,f353,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f24,f23,f22,f15,f10,f11,f29,f9,f16,f17,f2633,f5,f2634,f6,f2635,f21,f18,f2626,f36,f690,f4,f8,f7,f2621,f2615]) ).

fof(f2821,plain,
    ( spl0_2
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f2820]) ).

fof(f2820,plain,
    ( $false
    | spl0_2
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f26,f25,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f13,f14,f19,f20,f353,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f24,f23,f2615,f22,f15,f10,f11,f29,f9,f16,f17,f2633,f5,f2634,f6,f2635,f21,f18,f2626,f36,f690,f4,f8,f7,f2621]) ).

fof(f2819,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f2818]) ).

fof(f2818,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f2817,f1,f2,f12,f3,f26,f25,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f13,f14,f19,f20,f353,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f24,f23,f2615,f22,f15,f10,f11,f2621,f29,f9,f16,f17,f2633,f5,f2634,f6,f2635,f21,f18,f2626,f36,f690,f4,f8,f7]) ).

fof(f2817,plain,
    ( sk_c5 = multiply(sk_c2,sk_c6)
    | sk_c7 = inverse(sk_c3)
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f21,f2689]) ).

fof(f2816,plain,
    ( spl0_2
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f2815]) ).

fof(f2815,plain,
    ( $false
    | spl0_2
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f26,f25,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f13,f14,f19,f20,f353,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f24,f23,f2615,f22,f15,f10,f11,f2621,f29,f9,f16,f17,f2633,f5,f2634,f6,f2635,f21,f18,f2626,f36,f690,f4,f8,f7]) ).

fof(f2814,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f2813]) ).

fof(f2813,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f2812,f1,f2,f12,f3,f26,f25,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f13,f14,f19,f20,f7,f353,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f24,f23,f2615,f22,f15,f10,f11,f2621,f29,f9,f16,f17,f2633,f5,f2634,f6,f2635,f21,f18,f2626,f36,f690,f4,f8]) ).

fof(f2811,plain,
    ( spl0_2
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f2810]) ).

fof(f2810,plain,
    ( $false
    | spl0_2
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f26,f25,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f13,f14,f19,f20,f7,f353,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f24,f23,f2615,f22,f15,f10,f11,f2621,f29,f9,f16,f17,f2633,f5,f2634,f6,f2635,f21,f18,f2626,f36,f690,f4,f8]) ).

fof(f2809,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f2808]) ).

fof(f2808,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_8 ),
    inference(global_subsumption,[],[f2740,f1,f2,f12,f3,f26,f25,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f13,f14,f19,f20,f8,f7,f353,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f24,f23,f2615,f22,f15,f10,f11,f2621,f29,f9,f16,f17,f2633,f5,f2634,f6,f2635,f21,f18,f2626,f36,f690,f4]) ).

fof(f2740,plain,
    ( sk_c5 = sk_c2
    | sk_c6 = multiply(sk_c7,sk_c4)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f13,f437]) ).

fof(f2807,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f2806]) ).

fof(f2806,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_8 ),
    inference(global_subsumption,[],[f2734,f1,f2,f12,f3,f26,f25,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f13,f14,f19,f20,f8,f7,f353,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f24,f23,f2615,f22,f15,f10,f11,f2621,f29,f9,f16,f17,f2633,f5,f2634,f6,f2635,f21,f18,f2626,f36,f690,f4]) ).

fof(f2734,plain,
    ( sk_c5 = sk_c2
    | sk_c4 = multiply(sk_c3,sk_c7)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f14,f437]) ).

fof(f2805,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f2804]) ).

fof(f2804,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f2730,f1,f2,f12,f3,f26,f25,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f13,f14,f19,f20,f8,f7,f353,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f24,f23,f2615,f22,f15,f10,f11,f2621,f29,f9,f16,f17,f2633,f5,f2634,f6,f2635,f21,f18,f2626,f36,f690,f4]) ).

fof(f2730,plain,
    ( sk_c5 = multiply(sk_c2,sk_c6)
    | sk_c6 = multiply(sk_c7,sk_c4)
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f19,f2689]) ).

fof(f2803,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f2802]) ).

fof(f2802,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f2776,f1,f2,f12,f3,f26,f25,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f13,f14,f19,f20,f8,f7,f353,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f24,f23,f2615,f22,f15,f10,f11,f2621,f29,f9,f16,f17,f2633,f5,f2634,f6,f2635,f21,f18,f2626,f36,f690,f4]) ).

fof(f2776,plain,
    ( sk_c5 = multiply(sk_c2,sk_c6)
    | sk_c5 = multiply(sk_c6,sk_c7)
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f16,f2689]) ).

fof(f2801,plain,
    ( spl0_2
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f2800]) ).

fof(f2800,plain,
    ( $false
    | spl0_2
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f26,f25,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f13,f14,f19,f20,f8,f7,f353,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f24,f23,f2615,f22,f15,f10,f11,f2621,f29,f9,f16,f17,f2633,f5,f2634,f6,f2635,f21,f18,f2626,f36,f690,f4]) ).

fof(f2799,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f2798]) ).

fof(f2798,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_8 ),
    inference(global_subsumption,[],[f2784,f1,f2,f12,f3,f26,f25,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f13,f14,f19,f20,f8,f7,f353,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f24,f23,f2615,f22,f15,f10,f11,f2621,f29,f4,f9,f16,f17,f2633,f5,f2634,f6,f2635,f21,f18,f2626,f36,f690]) ).

fof(f2784,plain,
    ( sk_c5 = sk_c2
    | sk_c5 = multiply(sk_c6,sk_c7)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f10,f437]) ).

fof(f2797,plain,
    ( spl0_2
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f2796]) ).

fof(f2796,plain,
    ( $false
    | spl0_2
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f26,f25,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f13,f14,f19,f20,f8,f7,f353,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f24,f23,f2615,f22,f15,f10,f11,f2621,f29,f4,f9,f16,f17,f2633,f5,f2634,f6,f2635,f21,f18,f2626,f36,f690]) ).

fof(f2795,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_9
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2794]) ).

fof(f2794,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_9
    | spl0_11 ),
    inference(subsumption_resolution,[],[f2793,f2769]) ).

fof(f2769,plain,
    ( sk_c5 = sk_c2
    | ~ spl0_1
    | ~ spl0_9
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f26,f25,f153,f156,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f499,f463,f458,f456,f551,f397,f552,f389,f369,f356,f339,f303,f296,f288,f13,f14,f19,f20,f8,f7,f353,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1920,f1911,f1914,f1924,f2018,f2013,f2009,f1938,f1941,f1919,f24,f23,f22,f1210,f15,f10,f11,f29,f4,f9,f16,f17,f5,f6,f21,f18,f695,f33,f2640,f2641,f2642,f2643,f2652,f2645,f2646,f2647,f2648,f2649,f2650,f2651,f437,f2675,f2676,f2688,f2680,f2681,f2683,f2684,f2685,f2686,f854,f2748,f2768]) ).

fof(f2768,plain,
    ( sk_c6 = multiply(identity,sk_c4)
    | sk_c5 = sk_c2
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2740,f695]) ).

fof(f2748,plain,
    ( identity = multiply(sk_c6,sk_c5)
    | sk_c6 = sk_c4
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2747,f695]) ).

fof(f2747,plain,
    ( sk_c6 = sk_c4
    | multiply(sk_c6,sk_c5) = sk_c7
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2746,f1]) ).

fof(f2746,plain,
    ( sk_c6 = multiply(identity,sk_c4)
    | multiply(sk_c6,sk_c5) = sk_c7
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f7,f695]) ).

fof(f2686,plain,
    ( ! [X0] : sk_c6 = multiply(inverse(multiply(X0,sk_c2)),X0)
    | ~ spl0_1 ),
    inference(superposition,[],[f1507,f437]) ).

fof(f2685,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c2),sk_c6) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f1292,f437]) ).

fof(f2684,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c6),sk_c2) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f1188,f437]) ).

fof(f2683,plain,
    ( ! [X0] : sk_c6 = multiply(X0,inverse(multiply(sk_c2,X0)))
    | ~ spl0_1 ),
    inference(superposition,[],[f1108,f437]) ).

fof(f2681,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c2,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f374,f437]) ).

fof(f2680,plain,
    ( identity = multiply(sk_c6,sk_c2)
    | ~ spl0_1 ),
    inference(superposition,[],[f372,f437]) ).

fof(f2688,plain,
    ( identity = multiply(sk_c2,sk_c6)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f2679,f387]) ).

fof(f2679,plain,
    ( identity = multiply(inverse(inverse(sk_c2)),sk_c6)
    | ~ spl0_1 ),
    inference(superposition,[],[f341,f437]) ).

fof(f2676,plain,
    ( ! [X0] : multiply(sk_c2,multiply(sk_c6,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f51,f437]) ).

fof(f2675,plain,
    ( identity = multiply(sk_c2,sk_c6)
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f437]) ).

fof(f2651,plain,
    ( ! [X0] : sk_c2 = multiply(inverse(multiply(X0,sk_c6)),X0)
    | ~ spl0_1 ),
    inference(superposition,[],[f1507,f33]) ).

fof(f2650,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c6),sk_c2) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f1292,f33]) ).

fof(f2649,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c2),sk_c6) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f1188,f33]) ).

fof(f2648,plain,
    ( ! [X0] : sk_c2 = multiply(X0,inverse(multiply(sk_c6,X0)))
    | ~ spl0_1 ),
    inference(superposition,[],[f1108,f33]) ).

fof(f2647,plain,
    ( sk_c2 = inverse(sk_c6)
    | ~ spl0_1 ),
    inference(superposition,[],[f387,f33]) ).

fof(f2646,plain,
    ( ! [X0] : multiply(sk_c2,multiply(sk_c6,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f374,f33]) ).

fof(f2645,plain,
    ( identity = multiply(sk_c2,sk_c6)
    | ~ spl0_1 ),
    inference(superposition,[],[f372,f33]) ).

fof(f2652,plain,
    ( identity = multiply(sk_c6,sk_c2)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f2644,f387]) ).

fof(f2644,plain,
    ( identity = multiply(inverse(inverse(sk_c6)),sk_c2)
    | ~ spl0_1 ),
    inference(superposition,[],[f341,f33]) ).

fof(f2643,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(sk_c6),X0)
    | ~ spl0_1 ),
    inference(superposition,[],[f298,f33]) ).

fof(f2642,plain,
    ( sk_c2 = multiply(inverse(sk_c6),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f289,f33]) ).

fof(f2641,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c2,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f51,f33]) ).

fof(f2640,plain,
    ( identity = multiply(sk_c6,sk_c2)
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f33]) ).

fof(f695,plain,
    ( identity = sk_c7
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f693]) ).

fof(f1210,plain,
    ( sk_c2 = inverse(sk_c6)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1209,f373]) ).

fof(f1209,plain,
    ( inverse(sk_c6) = multiply(sk_c2,identity)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1134,f353]) ).

fof(f1134,plain,
    ( inverse(sk_c6) = multiply(sk_c2,inverse(identity))
    | ~ spl0_1 ),
    inference(superposition,[],[f1104,f153]) ).

fof(f1919,plain,
    ( sk_c6 = multiply(identity,sk_c4)
    | sk_c6 = inverse(sk_c1)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f25,f695]) ).

fof(f1941,plain,
    ( identity = multiply(sk_c2,sk_c6)
    | sk_c5 = multiply(sk_c1,sk_c6)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f17,f695]) ).

fof(f1938,plain,
    ( identity = multiply(sk_c2,sk_c6)
    | sk_c6 = inverse(sk_c1)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f23,f695]) ).

fof(f2009,plain,
    ( sk_c4 = multiply(sk_c3,identity)
    | sk_c6 = inverse(sk_c1)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f26,f695]) ).

fof(f2013,plain,
    ( sk_c4 = sk_c3
    | sk_c5 = multiply(sk_c1,sk_c6)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2012,f373]) ).

fof(f2012,plain,
    ( sk_c4 = multiply(sk_c3,identity)
    | sk_c5 = multiply(sk_c1,sk_c6)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f20,f695]) ).

fof(f2018,plain,
    ( identity = inverse(sk_c3)
    | sk_c5 = multiply(sk_c1,sk_c6)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f21,f695]) ).

fof(f1924,plain,
    ( sk_c6 = sk_c5
    | sk_c6 = inverse(sk_c1)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1923,f373]) ).

fof(f1923,plain,
    ( sk_c5 = multiply(sk_c6,identity)
    | sk_c6 = inverse(sk_c1)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f22,f695]) ).

fof(f1914,plain,
    ( sk_c6 = sk_c4
    | sk_c5 = multiply(sk_c1,sk_c6)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1913,f1]) ).

fof(f1913,plain,
    ( sk_c6 = multiply(identity,sk_c4)
    | sk_c5 = multiply(sk_c1,sk_c6)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f19,f695]) ).

fof(f1911,plain,
    ( sk_c6 = sk_c5
    | sk_c5 = multiply(sk_c1,sk_c6)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1910,f373]) ).

fof(f1910,plain,
    ( sk_c5 = multiply(sk_c6,identity)
    | sk_c5 = multiply(sk_c1,sk_c6)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f16,f695]) ).

fof(f1920,plain,
    ( sk_c6 = inverse(sk_c1)
    | ~ spl0_9
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f26,f25,f23,f22,f18,f6,f24,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f15,f10,f11,f13,f14,f29,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f353,f695,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f854,f1914,f1919]) ).

fof(f296,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(sk_c6),X0)
    | ~ spl0_1 ),
    inference(superposition,[],[f51,f156]) ).

fof(f303,plain,
    ( sk_c2 = multiply(inverse(sk_c6),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f51,f153]) ).

fof(f339,plain,
    ( sk_c2 = multiply(inverse(sk_c6),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f289,f33]) ).

fof(f369,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(sk_c6),X0)
    | ~ spl0_1 ),
    inference(superposition,[],[f298,f33]) ).

fof(f456,plain,
    ( identity = multiply(sk_c2,sk_c6)
    | ~ spl0_1 ),
    inference(superposition,[],[f372,f33]) ).

fof(f499,plain,
    ( ! [X0] : multiply(sk_c2,multiply(sk_c6,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f374,f33]) ).

fof(f156,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c2,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f155,f1]) ).

fof(f155,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c2,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f153]) ).

fof(f153,plain,
    ( identity = multiply(sk_c6,sk_c2)
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f33]) ).

fof(f2793,plain,
    ( sk_c5 != sk_c2
    | ~ spl0_1
    | spl0_2 ),
    inference(superposition,[],[f36,f437]) ).

fof(f2767,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2766]) ).

fof(f2766,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f26,f25,f153,f156,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f499,f463,f458,f456,f551,f397,f552,f389,f369,f356,f339,f303,f296,f288,f13,f14,f19,f20,f8,f7,f353,f699,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1920,f739,f1911,f1914,f1924,f2083,f2018,f2013,f2009,f1938,f1941,f1919,f24,f23,f2615,f22,f2616,f1210,f36,f15,f10,f2620,f11,f2621,f29,f2626,f4,f2627,f9,f16,f2630,f17,f2633,f5,f2634,f6,f2635,f21,f18,f691,f695,f2047,f33,f2640,f2641,f2642,f2643,f2652,f2645,f2646,f2647,f2648,f2649,f2650,f2651,f2671,f2653,f437,f2675,f2676,f2688,f2680,f2681,f2683,f2684,f2685,f2686,f2674,f2716,f2721,f2743,f2749,f854]) ).

fof(f2749,plain,
    ( identity = multiply(sk_c6,sk_c6)
    | sk_c6 = sk_c4
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2748,f2047]) ).

fof(f2743,plain,
    ( sk_c6 = multiply(identity,sk_c4)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2742,f695]) ).

fof(f2742,plain,
    ( sk_c6 = multiply(sk_c7,sk_c4)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f2741,f2674]) ).

fof(f2741,plain,
    ( sk_c6 = sk_c2
    | sk_c6 = multiply(sk_c7,sk_c4)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2740,f2047]) ).

fof(f2721,plain,
    ( identity = multiply(sk_c2,sk_c6)
    | spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2621,f695]) ).

fof(f2716,plain,
    ( identity = multiply(sk_c2,sk_c6)
    | spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2615,f695]) ).

fof(f2674,plain,
    ( sk_c6 != sk_c2
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(superposition,[],[f2653,f437]) ).

fof(f2653,plain,
    ( sk_c6 != inverse(sk_c6)
    | spl0_2
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f36,f2047]) ).

fof(f2671,plain,
    ( sk_c6 != inverse(sk_c6)
    | spl0_2
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2626,f2047]) ).

fof(f2047,plain,
    ( sk_c6 = sk_c5
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2046,f373]) ).

fof(f2046,plain,
    ( sk_c5 = multiply(sk_c6,identity)
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f691,f695]) ).

fof(f691,plain,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f689]) ).

fof(f2630,plain,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f26,f25,f6,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f13,f14,f17,f19,f20,f8,f7,f5,f21,f353,f691,f699,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f18,f24,f23,f22,f2616,f15,f10,f2620,f11,f29,f4,f2627,f9,f16]) ).

fof(f2627,plain,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f26,f25,f6,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f13,f14,f16,f17,f19,f20,f8,f7,f5,f21,f9,f353,f691,f699,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f18,f24,f23,f22,f2616,f15,f10,f2620,f11,f29,f4]) ).

fof(f2620,plain,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f26,f25,f6,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f11,f13,f14,f29,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f353,f691,f699,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f18,f24,f23,f22,f2616,f15,f10]) ).

fof(f2616,plain,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f26,f25,f6,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f15,f10,f11,f13,f14,f29,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f353,f691,f699,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f18,f24,f23,f22]) ).

fof(f2083,plain,
    ( sk_c6 = sk_c5
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f26,f25,f23,f22,f6,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f15,f10,f11,f13,f14,f29,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f353,f691,f699,f695,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1919,f24,f18,f1941,f1938,f2009,f2013,f2018,f2047,f739,f1911,f1914,f1924]) ).

fof(f739,plain,
    ( sk_c6 = sk_c5
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f736,f373]) ).

fof(f736,plain,
    ( sk_c5 = multiply(sk_c6,identity)
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(superposition,[],[f691,f695]) ).

fof(f699,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,multiply(sk_c7,X0))
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f691]) ).

fof(f2765,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2764]) ).

fof(f2764,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | spl0_11 ),
    inference(global_subsumption,[],[f2763,f1,f2,f12,f3,f26,f25,f153,f156,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f499,f463,f458,f456,f551,f397,f552,f389,f369,f356,f339,f303,f296,f288,f13,f14,f19,f20,f8,f7,f353,f699,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f854,f1920,f739,f1911,f1914,f1924,f2083,f2018,f2013,f2009,f1938,f1941,f1919,f24,f23,f2615,f22,f2616,f1210,f36,f15,f10,f2620,f11,f2621,f29,f2626,f4,f2627,f9,f16,f2630,f17,f2633,f5,f2634,f6,f2635,f21,f18,f691,f695,f2047,f33,f2640,f2641,f2642,f2643,f2652,f2645,f2646,f2647,f2648,f2649,f2650,f2651,f2671,f2653,f437,f2675,f2676,f2688,f2680,f2681,f2683,f2684,f2685,f2686,f2674,f2716,f2721,f2743,f2749]) ).

fof(f2763,plain,
    ( identity = multiply(sk_c6,sk_c6)
    | identity = sk_c4
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2762,f2047]) ).

fof(f2762,plain,
    ( identity = multiply(sk_c6,sk_c5)
    | identity = sk_c4
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2761,f695]) ).

fof(f2761,plain,
    ( identity = sk_c4
    | multiply(sk_c6,sk_c5) = sk_c7
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2760,f1]) ).

fof(f2760,plain,
    ( sk_c4 = multiply(identity,identity)
    | multiply(sk_c6,sk_c5) = sk_c7
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2759,f2093]) ).

fof(f2093,plain,
    ( identity = sk_c3
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2092,f353]) ).

fof(f2092,plain,
    ( sk_c3 = inverse(identity)
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f595,f695]) ).

fof(f2759,plain,
    ( sk_c4 = multiply(sk_c3,identity)
    | multiply(sk_c6,sk_c5) = sk_c7
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f8,f695]) ).

fof(f2758,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2757]) ).

fof(f2757,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | spl0_11 ),
    inference(global_subsumption,[],[f2756,f1,f2,f12,f3,f26,f25,f153,f156,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f499,f463,f458,f456,f551,f397,f552,f389,f369,f356,f339,f303,f296,f288,f13,f14,f19,f20,f8,f7,f353,f699,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f854,f1920,f739,f1911,f1914,f1924,f2083,f2018,f2013,f2009,f1938,f1941,f1919,f24,f23,f2615,f22,f2616,f1210,f36,f15,f10,f2620,f11,f2621,f29,f2626,f4,f2627,f9,f16,f2630,f17,f2633,f5,f2634,f6,f2635,f21,f18,f691,f695,f2047,f33,f2640,f2641,f2642,f2643,f2652,f2645,f2646,f2647,f2648,f2649,f2650,f2651,f2671,f2653,f437,f2675,f2676,f2688,f2680,f2681,f2683,f2684,f2685,f2686,f2674,f2716,f2721,f2743,f2749]) ).

fof(f2756,plain,
    ( sk_c6 = multiply(sk_c2,sk_c6)
    | identity = sk_c4
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2755,f2047]) ).

fof(f2755,plain,
    ( sk_c5 = multiply(sk_c2,sk_c6)
    | identity = sk_c4
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2754,f2689]) ).

fof(f2754,plain,
    ( identity = sk_c4
    | sk_c5 = multiply(sk_c1,sk_c6)
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2753,f2093]) ).

fof(f2753,plain,
    ( sk_c4 = sk_c3
    | sk_c5 = multiply(sk_c1,sk_c6)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2752,f373]) ).

fof(f2752,plain,
    ( sk_c4 = multiply(sk_c3,identity)
    | sk_c5 = multiply(sk_c1,sk_c6)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f20,f695]) ).

fof(f2751,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2750]) ).

fof(f2750,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f26,f25,f153,f156,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f499,f463,f458,f456,f551,f397,f552,f389,f369,f356,f339,f303,f296,f288,f13,f14,f19,f20,f8,f7,f353,f699,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f854,f1920,f739,f1911,f1914,f1924,f2083,f2018,f2013,f2009,f1938,f1941,f1919,f24,f23,f2615,f22,f2616,f1210,f36,f15,f10,f2620,f11,f2621,f29,f2626,f4,f2627,f9,f16,f2630,f17,f2633,f5,f2634,f6,f2635,f21,f18,f691,f695,f2047,f33,f2640,f2641,f2642,f2643,f2652,f2645,f2646,f2647,f2648,f2649,f2650,f2651,f2671,f2653,f437,f2675,f2676,f2688,f2680,f2681,f2683,f2684,f2685,f2686,f2674,f2716,f2721,f2743,f2749]) ).

fof(f2745,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2744]) ).

fof(f2744,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f26,f25,f153,f156,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f499,f463,f458,f456,f551,f397,f552,f389,f369,f356,f339,f303,f296,f288,f13,f14,f19,f20,f8,f7,f353,f699,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f854,f1920,f739,f1911,f1914,f1924,f2083,f2018,f2013,f2009,f1938,f1941,f1919,f24,f23,f2615,f22,f2616,f1210,f36,f15,f10,f2620,f11,f2621,f29,f2626,f4,f2627,f9,f16,f2630,f17,f2633,f5,f2634,f6,f2635,f21,f18,f691,f695,f2047,f33,f2640,f2641,f2642,f2643,f2652,f2645,f2646,f2647,f2648,f2649,f2650,f2651,f2671,f2653,f437,f2675,f2676,f2688,f2680,f2681,f2683,f2684,f2685,f2686,f2674,f2716,f2721,f2743]) ).

fof(f2727,plain,
    ( spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2726]) ).

fof(f2726,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f2725,f850]) ).

fof(f2725,plain,
    ( identity = sk_c6
    | spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2724,f1]) ).

fof(f2724,plain,
    ( sk_c6 = multiply(identity,identity)
    | spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2723,f2093]) ).

fof(f2723,plain,
    ( sk_c6 = multiply(sk_c3,identity)
    | spl0_2
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2625,f695]) ).

fof(f2611,plain,
    ( spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2610]) ).

fof(f2610,plain,
    ( $false
    | spl0_8
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f2609,f1]) ).

fof(f2609,plain,
    ( sk_c5 != multiply(identity,sk_c5)
    | spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2608,f851]) ).

fof(f851,plain,
    ( identity = sk_c6
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f849]) ).

fof(f2608,plain,
    ( sk_c5 != multiply(sk_c6,sk_c5)
    | spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f690,f2453]) ).

fof(f2453,plain,
    ( sk_c5 = sk_c7
    | ~ spl0_10 ),
    inference(duplicate_literal_removal,[],[f2452]) ).

fof(f2452,plain,
    ( sk_c5 = sk_c7
    | sk_c5 = sk_c7
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2451,f1]) ).

fof(f2451,plain,
    ( sk_c7 = multiply(identity,sk_c5)
    | sk_c5 = sk_c7
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2450,f851]) ).

fof(f2450,plain,
    ( sk_c5 = sk_c7
    | multiply(sk_c6,sk_c5) = sk_c7
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2449,f1]) ).

fof(f2449,plain,
    ( sk_c5 = multiply(identity,sk_c7)
    | multiply(sk_c6,sk_c5) = sk_c7
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f4,f851]) ).

fof(f2600,plain,
    ( spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2599]) ).

fof(f2599,plain,
    ( $false
    | spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f26,f25,f23,f22,f6,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f36,f15,f10,f11,f13,f14,f29,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f353,f691,f699,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f739,f1911,f1914,f1924,f2083,f2018,f2013,f2009,f1938,f1941,f18,f24,f1919,f2047,f2148,f926,f851,f2425,f2431,f2434,f2437,f2329,f2445,f2314,f899,f2274,f1650,f2465,f2466,f2467,f2480,f2484,f2485,f2487,f2453,f2490,f695]) ).

fof(f2490,plain,
    ( identity != sk_c5
    | spl0_2
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2489,f353]) ).

fof(f2489,plain,
    ( sk_c5 != inverse(identity)
    | spl0_2
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f36,f851]) ).

fof(f2487,plain,
    ( identity = sk_c5
    | sk_c7 = inverse(sk_c3)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2486,f353]) ).

fof(f2486,plain,
    ( sk_c5 = inverse(identity)
    | sk_c7 = inverse(sk_c3)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f15,f851]) ).

fof(f2485,plain,
    ( sk_c5 = multiply(identity,sk_c7)
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f26,f25,f23,f22,f6,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f15,f10,f11,f13,f14,f29,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f353,f691,f699,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f18,f24,f851,f2425,f2431,f2434,f2437,f2329,f2445,f2314,f899,f2274,f1650,f2453,f2465,f2466,f2467,f2480,f2484]) ).

fof(f2484,plain,
    ( sk_c5 = multiply(identity,sk_c7)
    | identity = sk_c5
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2483,f851]) ).

fof(f2483,plain,
    ( identity = sk_c5
    | sk_c5 = multiply(sk_c6,sk_c7)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2482,f353]) ).

fof(f2482,plain,
    ( sk_c5 = inverse(identity)
    | sk_c5 = multiply(sk_c6,sk_c7)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f10,f851]) ).

fof(f2480,plain,
    ( sk_c7 = multiply(sk_c2,identity)
    | identity = sk_c5
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2479,f851]) ).

fof(f2479,plain,
    ( identity = sk_c5
    | sk_c7 = multiply(sk_c2,sk_c6)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2478,f353]) ).

fof(f2478,plain,
    ( sk_c5 = inverse(identity)
    | sk_c7 = multiply(sk_c2,sk_c6)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f11,f851]) ).

fof(f2467,plain,
    ( ! [X3,X6,X4] :
        ( identity != multiply(sk_c7,multiply(X6,sk_c7))
        | sk_c7 != multiply(X4,identity)
        | identity != multiply(X3,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != sk_c5
        | sk_c7 != inverse(X6) )
    | ~ spl0_10 ),
    inference(inner_rewriting,[],[f2466]) ).

fof(f2466,plain,
    ( ! [X3,X6,X4] :
        ( identity != multiply(sk_c7,multiply(X6,sk_c7))
        | sk_c7 != multiply(X4,identity)
        | sk_c5 != multiply(X3,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != sk_c5
        | sk_c7 != inverse(X6) )
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f26,f25,f23,f22,f6,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f15,f10,f11,f13,f14,f29,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f353,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f18,f24,f851,f2425,f2431,f2434,f2437,f2329,f2445,f2274,f2453,f2465]) ).

fof(f2465,plain,
    ( ! [X3,X6,X4] :
        ( sk_c5 != sk_c7
        | identity != multiply(sk_c7,multiply(X6,sk_c7))
        | sk_c7 != multiply(X4,identity)
        | sk_c5 != multiply(X3,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != sk_c5
        | sk_c7 != inverse(X6) )
    | ~ spl0_10 ),
    inference(duplicate_literal_removal,[],[f2464]) ).

fof(f2464,plain,
    ( ! [X3,X6,X4] :
        ( sk_c5 != sk_c7
        | identity != multiply(sk_c7,multiply(X6,sk_c7))
        | sk_c7 != multiply(X4,identity)
        | sk_c5 != multiply(X3,identity)
        | sk_c5 != sk_c7
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != sk_c5
        | sk_c7 != inverse(X6) )
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2463,f1]) ).

fof(f2463,plain,
    ( ! [X3,X6,X4] :
        ( sk_c7 != multiply(identity,sk_c5)
        | identity != multiply(sk_c7,multiply(X6,sk_c7))
        | sk_c7 != multiply(X4,identity)
        | sk_c5 != multiply(X3,identity)
        | sk_c5 != sk_c7
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != sk_c5
        | sk_c7 != inverse(X6) )
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2462,f851]) ).

fof(f2462,plain,
    ( ! [X3,X6,X4] :
        ( identity != multiply(sk_c7,multiply(X6,sk_c7))
        | sk_c7 != multiply(X4,identity)
        | sk_c5 != multiply(X3,identity)
        | sk_c5 != sk_c7
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != sk_c5
        | sk_c7 != inverse(X6)
        | multiply(sk_c6,sk_c5) != sk_c7 )
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2461,f851]) ).

fof(f2461,plain,
    ( ! [X3,X6,X4] :
        ( sk_c7 != multiply(X4,identity)
        | sk_c5 != multiply(X3,identity)
        | sk_c5 != sk_c7
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != sk_c5
        | sk_c7 != inverse(X6)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7))
        | multiply(sk_c6,sk_c5) != sk_c7 )
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2460,f851]) ).

fof(f2460,plain,
    ( ! [X3,X6,X4] :
        ( sk_c5 != multiply(X3,identity)
        | sk_c5 != sk_c7
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != sk_c5
        | sk_c7 != inverse(X6)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7))
        | multiply(sk_c6,sk_c5) != sk_c7 )
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2459,f851]) ).

fof(f2459,plain,
    ( ! [X3,X6,X4] :
        ( sk_c5 != sk_c7
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != sk_c5
        | sk_c7 != inverse(X6)
        | sk_c5 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7))
        | multiply(sk_c6,sk_c5) != sk_c7 )
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2458,f1]) ).

fof(f2458,plain,
    ( ! [X3,X6,X4] :
        ( sk_c5 != multiply(identity,sk_c7)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != sk_c5
        | sk_c7 != inverse(X6)
        | sk_c5 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7))
        | multiply(sk_c6,sk_c5) != sk_c7 )
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2457,f851]) ).

fof(f2457,plain,
    ( ! [X3,X6,X4] :
        ( identity != inverse(X4)
        | identity != inverse(X3)
        | identity != sk_c5
        | sk_c7 != inverse(X6)
        | sk_c5 != multiply(sk_c6,sk_c7)
        | sk_c5 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7))
        | multiply(sk_c6,sk_c5) != sk_c7 )
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2456,f851]) ).

fof(f2456,plain,
    ( ! [X3,X6,X4] :
        ( identity != inverse(X3)
        | identity != sk_c5
        | sk_c7 != inverse(X6)
        | sk_c6 != inverse(X4)
        | sk_c5 != multiply(sk_c6,sk_c7)
        | sk_c5 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7))
        | multiply(sk_c6,sk_c5) != sk_c7 )
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2455,f851]) ).

fof(f2455,plain,
    ( ! [X3,X6,X4] :
        ( identity != sk_c5
        | sk_c7 != inverse(X6)
        | sk_c6 != inverse(X3)
        | sk_c6 != inverse(X4)
        | sk_c5 != multiply(sk_c6,sk_c7)
        | sk_c5 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7))
        | multiply(sk_c6,sk_c5) != sk_c7 )
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2454,f353]) ).

fof(f2454,plain,
    ( ! [X3,X6,X4] :
        ( sk_c5 != inverse(identity)
        | sk_c7 != inverse(X6)
        | sk_c6 != inverse(X3)
        | sk_c6 != inverse(X4)
        | sk_c5 != multiply(sk_c6,sk_c7)
        | sk_c5 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7))
        | multiply(sk_c6,sk_c5) != sk_c7 )
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f29,f851]) ).

fof(f1650,plain,
    ( inverse(sk_c7) = inverse(sk_c5)
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1649,f373]) ).

fof(f1649,plain,
    ( inverse(sk_c7) = multiply(inverse(sk_c5),identity)
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1586,f851]) ).

fof(f1586,plain,
    ( inverse(sk_c7) = multiply(inverse(sk_c5),sk_c6)
    | ~ spl0_8 ),
    inference(superposition,[],[f1192,f691]) ).

fof(f2274,plain,
    ( sk_c5 = multiply(sk_c1,identity)
    | identity = inverse(sk_c2)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2273,f851]) ).

fof(f2273,plain,
    ( identity = inverse(sk_c2)
    | sk_c5 = multiply(sk_c1,sk_c6)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f18,f851]) ).

fof(f899,plain,
    ( sk_c5 = multiply(identity,sk_c7)
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(superposition,[],[f691,f851]) ).

fof(f2314,plain,
    ( sk_c5 = multiply(identity,sk_c7)
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f691,f851]) ).

fof(f2445,plain,
    ( sk_c5 = sk_c7
    | sk_c7 = inverse(sk_c3)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2444,f1]) ).

fof(f2444,plain,
    ( sk_c7 = multiply(identity,sk_c5)
    | sk_c7 = inverse(sk_c3)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f9,f851]) ).

fof(f2329,plain,
    ( sk_c5 = multiply(sk_c1,identity)
    | sk_c7 = inverse(sk_c3)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f21,f851]) ).

fof(f2437,plain,
    ( sk_c5 = sk_c7
    | identity = inverse(sk_c2)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2436,f1]) ).

fof(f2436,plain,
    ( sk_c7 = multiply(identity,sk_c5)
    | identity = inverse(sk_c2)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2349,f851]) ).

fof(f2349,plain,
    ( identity = inverse(sk_c2)
    | multiply(sk_c6,sk_c5) = sk_c7
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f6,f851]) ).

fof(f2434,plain,
    ( sk_c5 = sk_c7
    | sk_c7 = multiply(sk_c2,identity)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2433,f1]) ).

fof(f2433,plain,
    ( sk_c7 = multiply(identity,sk_c5)
    | sk_c7 = multiply(sk_c2,identity)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2353,f851]) ).

fof(f2353,plain,
    ( sk_c7 = multiply(sk_c2,identity)
    | multiply(sk_c6,sk_c5) = sk_c7
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f5,f851]) ).

fof(f2431,plain,
    ( sk_c7 = sk_c2
    | sk_c5 = multiply(sk_c1,identity)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2430,f373]) ).

fof(f2430,plain,
    ( sk_c7 = multiply(sk_c2,identity)
    | sk_c5 = multiply(sk_c1,identity)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2357,f851]) ).

fof(f2357,plain,
    ( sk_c5 = multiply(sk_c1,identity)
    | sk_c7 = multiply(sk_c2,sk_c6)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f17,f851]) ).

fof(f2425,plain,
    ( sk_c5 = sk_c7
    | sk_c5 = multiply(sk_c1,identity)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2424,f1]) ).

fof(f2424,plain,
    ( sk_c5 = multiply(identity,sk_c7)
    | sk_c5 = multiply(sk_c1,identity)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2384,f851]) ).

fof(f2384,plain,
    ( sk_c5 = multiply(sk_c1,identity)
    | sk_c5 = multiply(sk_c6,sk_c7)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f16,f851]) ).

fof(f926,plain,
    ( identity = sk_c5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f925,f1]) ).

fof(f925,plain,
    ( sk_c5 = multiply(identity,identity)
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f899,f695]) ).

fof(f2148,plain,
    ( identity = sk_c5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2147,f1]) ).

fof(f2147,plain,
    ( sk_c5 = multiply(identity,identity)
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f899,f695]) ).

fof(f2598,plain,
    ( spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2597]) ).

fof(f2597,plain,
    ( $false
    | spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f2596,f2490]) ).

fof(f2596,plain,
    ( identity = sk_c5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2047,f851]) ).

fof(f2595,plain,
    ( spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2594]) ).

fof(f2594,plain,
    ( $false
    | spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f2148,f2490]) ).

fof(f2593,plain,
    ( spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2592]) ).

fof(f2592,plain,
    ( $false
    | spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f926,f2490]) ).

fof(f2591,plain,
    ( spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2590]) ).

fof(f2590,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f2093,f1,f2,f12,f3,f26,f25,f23,f22,f6,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f36,f15,f10,f11,f13,f14,f29,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f353,f691,f699,f695,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f739,f1911,f1914,f1924,f2083,f2018,f2013,f2009,f1938,f1941,f18,f24,f1919,f2047,f2148,f926,f851,f2425,f2431,f2434,f2437,f2329,f2445,f2314,f899,f2274,f1650,f2465,f2466,f2467,f2480,f2484,f2485,f2487,f2453,f2490]) ).

fof(f2589,plain,
    ( spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2588]) ).

fof(f2588,plain,
    ( $false
    | spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f2587,f1,f2,f12,f3,f26,f25,f23,f22,f6,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f36,f15,f10,f11,f13,f14,f29,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f353,f691,f699,f695,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f739,f1911,f1914,f1924,f2083,f2018,f2013,f2009,f1938,f1941,f18,f24,f1919,f2047,f2148,f926,f851,f2425,f2431,f2434,f2437,f2329,f2445,f2314,f899,f2274,f1650,f2465,f2466,f2467,f2480,f2484,f2485,f2487,f2453,f2490]) ).

fof(f2587,plain,
    ( sk_c5 = multiply(sk_c1,identity)
    | spl0_2
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f2586,f2490]) ).

fof(f2586,plain,
    ( identity = sk_c5
    | sk_c5 = multiply(sk_c1,identity)
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2428,f2453]) ).

fof(f2428,plain,
    ( identity = sk_c7
    | sk_c5 = multiply(sk_c1,identity)
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2427,f373]) ).

fof(f2427,plain,
    ( identity = multiply(sk_c7,identity)
    | sk_c5 = multiply(sk_c1,identity)
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2426,f851]) ).

fof(f2426,plain,
    ( sk_c6 = multiply(sk_c7,sk_c6)
    | sk_c5 = multiply(sk_c1,identity)
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2377,f857]) ).

fof(f2377,plain,
    ( sk_c5 = multiply(sk_c1,identity)
    | sk_c6 = multiply(sk_c7,sk_c4)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f19,f851]) ).

fof(f2585,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2584]) ).

fof(f2584,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f2583,f1,f2,f12,f3,f26,f25,f23,f22,f6,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f36,f15,f10,f11,f13,f14,f29,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f353,f691,f699,f695,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f739,f1911,f1914,f1924,f2083,f2018,f2013,f2009,f1938,f1941,f18,f24,f1919,f2047,f2148,f926,f851,f2425,f2431,f2434,f2437,f2329,f2445,f2314,f899,f2274,f1650,f2465,f2466,f2467,f2480,f2484,f2485,f2487,f2453,f2490]) ).

fof(f2583,plain,
    ( sk_c5 = multiply(sk_c1,identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f2582,f2490]) ).

fof(f2582,plain,
    ( identity = sk_c5
    | sk_c5 = multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2581,f2453]) ).

fof(f2581,plain,
    ( identity = sk_c7
    | sk_c5 = multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2431,f2494]) ).

fof(f2494,plain,
    ( identity = sk_c2
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2493,f353]) ).

fof(f2493,plain,
    ( sk_c2 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f437,f851]) ).

fof(f2580,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2579]) ).

fof(f2579,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f2542,f1,f2,f12,f3,f26,f25,f23,f22,f6,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f36,f15,f10,f11,f13,f14,f29,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f353,f691,f699,f695,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f739,f1911,f1914,f1924,f2083,f2018,f2013,f2009,f1938,f1941,f18,f24,f1919,f2047,f2148,f926,f851,f2425,f2431,f2434,f2437,f2329,f2445,f2314,f899,f2274,f1650,f2465,f2466,f2467,f2480,f2484,f2485,f2487,f2453,f2490]) ).

fof(f2542,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | spl0_2
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2541,f1]) ).

fof(f2541,plain,
    ( sk_c7 = multiply(identity,identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2540,f2494]) ).

fof(f2540,plain,
    ( sk_c7 = multiply(sk_c2,identity)
    | spl0_2
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f2480,f2490]) ).

fof(f2578,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2577]) ).

fof(f2577,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f2576,f1,f2,f12,f3,f26,f25,f23,f22,f6,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f36,f15,f10,f11,f13,f14,f29,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f353,f691,f699,f695,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f739,f1911,f1914,f1924,f2083,f2018,f2013,f2009,f1938,f1941,f18,f24,f1919,f2047,f2148,f926,f851,f2425,f2431,f2434,f2437,f2329,f2445,f2314,f899,f2274,f1650,f2465,f2466,f2467,f2480,f2484,f2485,f2487,f2453,f2490]) ).

fof(f2576,plain,
    ( identity = inverse(sk_c1)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f2575,f2490]) ).

fof(f2575,plain,
    ( identity = sk_c5
    | identity = inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2559,f2453]) ).

fof(f2559,plain,
    ( identity = sk_c7
    | identity = inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2558,f1]) ).

fof(f2558,plain,
    ( sk_c7 = multiply(identity,identity)
    | identity = inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2557,f2494]) ).

fof(f2557,plain,
    ( sk_c7 = multiply(sk_c2,identity)
    | identity = inverse(sk_c1)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2556,f851]) ).

fof(f2556,plain,
    ( identity = inverse(sk_c1)
    | sk_c7 = multiply(sk_c2,sk_c6)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f23,f851]) ).

fof(f2574,plain,
    ( spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2573]) ).

fof(f2573,plain,
    ( $false
    | spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f2564,f1,f2,f12,f3,f26,f25,f23,f22,f6,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f36,f15,f10,f11,f13,f14,f29,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f353,f691,f699,f695,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f739,f1911,f1914,f1924,f2083,f2018,f2013,f2009,f1938,f1941,f18,f24,f1919,f2047,f2148,f926,f851,f2425,f2431,f2434,f2437,f2329,f2445,f2314,f899,f2274,f1650,f2465,f2466,f2467,f2480,f2484,f2485,f2487,f2453,f2490]) ).

fof(f2564,plain,
    ( identity = multiply(sk_c3,sk_c5)
    | identity = inverse(sk_c1)
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2563,f851]) ).

fof(f2563,plain,
    ( sk_c6 = multiply(sk_c3,sk_c5)
    | identity = inverse(sk_c1)
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2562,f857]) ).

fof(f2562,plain,
    ( sk_c4 = multiply(sk_c3,sk_c5)
    | identity = inverse(sk_c1)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2561,f2453]) ).

fof(f2561,plain,
    ( identity = inverse(sk_c1)
    | sk_c4 = multiply(sk_c3,sk_c7)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f26,f851]) ).

fof(f2544,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2543]) ).

fof(f2543,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_9
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f2542,f694]) ).

fof(f2539,plain,
    ( ~ spl0_1
    | spl0_5
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2538]) ).

fof(f2538,plain,
    ( $false
    | ~ spl0_1
    | spl0_5
    | spl0_9
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f2537,f694]) ).

fof(f2537,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | spl0_5
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2536,f1]) ).

fof(f2536,plain,
    ( sk_c7 = multiply(identity,identity)
    | ~ spl0_1
    | spl0_5
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2364,f2494]) ).

fof(f2364,plain,
    ( sk_c7 = multiply(sk_c2,identity)
    | spl0_5
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2363,f851]) ).

fof(f2363,plain,
    ( sk_c7 = multiply(sk_c2,sk_c6)
    | spl0_5 ),
    inference(subsumption_resolution,[],[f23,f173]) ).

fof(f2420,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2419]) ).

fof(f2419,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f2418,f1,f2,f12,f39,f3,f54,f63,f26,f25,f23,f22,f6,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f691,f697,f699,f700,f702,f585,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1270,f1294,f1382,f1439,f1466,f1571,f1675,f1676,f1569,f1465,f1440,f1381,f1295,f1272,f18,f24,f851,f2161,f903,f2275,f1208,f2292,f2295,f2298,f943,f1045,f2307,f2315,f2319,f2323,f2326,f2330,f2350,f2354,f2360,f2388,f2401,f694]) ).

fof(f2401,plain,
    ( ! [X3,X6,X4] :
        ( identity != sk_c7
        | identity != multiply(sk_c7,multiply(X6,sk_c7))
        | sk_c7 != multiply(X4,identity)
        | identity != multiply(X3,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | sk_c7 != inverse(X6) )
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(duplicate_literal_removal,[],[f2400]) ).

fof(f2400,plain,
    ( ! [X3,X6,X4] :
        ( identity != sk_c7
        | identity != multiply(sk_c7,multiply(X6,sk_c7))
        | sk_c7 != multiply(X4,identity)
        | identity != multiply(X3,identity)
        | identity != sk_c7
        | identity != inverse(X4)
        | identity != inverse(X3)
        | sk_c7 != inverse(X6) )
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2399,f584]) ).

fof(f2399,plain,
    ( ! [X3,X6,X4] :
        ( identity != multiply(sk_c7,multiply(X6,sk_c7))
        | sk_c7 != multiply(X4,identity)
        | identity != multiply(X3,identity)
        | identity != sk_c7
        | identity != inverse(X4)
        | identity != inverse(X3)
        | sk_c7 != inverse(X6)
        | multiply(sk_c6,sk_c5) != sk_c7 )
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2398,f851]) ).

fof(f2398,plain,
    ( ! [X3,X6,X4] :
        ( sk_c7 != multiply(X4,identity)
        | identity != multiply(X3,identity)
        | identity != sk_c7
        | identity != inverse(X4)
        | identity != inverse(X3)
        | sk_c7 != inverse(X6)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7))
        | multiply(sk_c6,sk_c5) != sk_c7 )
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2397,f851]) ).

fof(f2397,plain,
    ( ! [X3,X6,X4] :
        ( identity != multiply(X3,identity)
        | identity != sk_c7
        | identity != inverse(X4)
        | identity != inverse(X3)
        | sk_c7 != inverse(X6)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7))
        | multiply(sk_c6,sk_c5) != sk_c7 )
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2396,f903]) ).

fof(f2396,plain,
    ( ! [X3,X6,X4] :
        ( sk_c5 != multiply(X3,identity)
        | identity != sk_c7
        | identity != inverse(X4)
        | identity != inverse(X3)
        | sk_c7 != inverse(X6)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7))
        | multiply(sk_c6,sk_c5) != sk_c7 )
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2395,f851]) ).

fof(f2395,plain,
    ( ! [X3,X6,X4] :
        ( identity != sk_c7
        | identity != inverse(X4)
        | identity != inverse(X3)
        | sk_c7 != inverse(X6)
        | sk_c5 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7))
        | multiply(sk_c6,sk_c5) != sk_c7 )
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2394,f903]) ).

fof(f2394,plain,
    ( ! [X3,X6,X4] :
        ( sk_c5 != sk_c7
        | identity != inverse(X4)
        | identity != inverse(X3)
        | sk_c7 != inverse(X6)
        | sk_c5 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7))
        | multiply(sk_c6,sk_c5) != sk_c7 )
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2393,f1]) ).

fof(f2393,plain,
    ( ! [X3,X6,X4] :
        ( sk_c5 != multiply(identity,sk_c7)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | sk_c7 != inverse(X6)
        | sk_c5 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7))
        | multiply(sk_c6,sk_c5) != sk_c7 )
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2392,f851]) ).

fof(f2392,plain,
    ( ! [X3,X6,X4] :
        ( identity != inverse(X4)
        | identity != inverse(X3)
        | sk_c7 != inverse(X6)
        | sk_c5 != multiply(sk_c6,sk_c7)
        | sk_c5 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7))
        | multiply(sk_c6,sk_c5) != sk_c7 )
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2391,f851]) ).

fof(f2391,plain,
    ( ! [X3,X6,X4] :
        ( identity != inverse(X3)
        | sk_c7 != inverse(X6)
        | sk_c6 != inverse(X4)
        | sk_c5 != multiply(sk_c6,sk_c7)
        | sk_c5 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7))
        | multiply(sk_c6,sk_c5) != sk_c7 )
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f573,f851]) ).

fof(f2388,plain,
    ( identity = sk_c7
    | identity = multiply(sk_c1,identity)
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2387,f903]) ).

fof(f2387,plain,
    ( sk_c5 = sk_c7
    | identity = multiply(sk_c1,identity)
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2386,f1]) ).

fof(f2386,plain,
    ( sk_c5 = multiply(identity,sk_c7)
    | identity = multiply(sk_c1,identity)
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2385,f851]) ).

fof(f2385,plain,
    ( identity = multiply(sk_c1,identity)
    | sk_c5 = multiply(sk_c6,sk_c7)
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2384,f903]) ).

fof(f2360,plain,
    ( sk_c7 = sk_c2
    | identity = multiply(sk_c1,identity)
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2359,f373]) ).

fof(f2359,plain,
    ( sk_c7 = multiply(sk_c2,identity)
    | identity = multiply(sk_c1,identity)
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2358,f851]) ).

fof(f2358,plain,
    ( identity = multiply(sk_c1,identity)
    | sk_c7 = multiply(sk_c2,sk_c6)
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2357,f903]) ).

fof(f2354,plain,
    ( identity = sk_c7
    | sk_c7 = multiply(sk_c2,identity)
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2353,f584]) ).

fof(f2350,plain,
    ( identity = sk_c7
    | identity = inverse(sk_c2)
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2349,f584]) ).

fof(f2330,plain,
    ( identity = multiply(sk_c1,identity)
    | sk_c7 = inverse(sk_c3)
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2329,f903]) ).

fof(f2326,plain,
    ( identity = sk_c7
    | sk_c7 = inverse(sk_c3)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f9,f584]) ).

fof(f2323,plain,
    ( identity = sk_c7
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2322,f1]) ).

fof(f2322,plain,
    ( sk_c7 = multiply(identity,identity)
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f700,f903]) ).

fof(f2319,plain,
    ( identity = multiply(sk_c7,identity)
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2318,f903]) ).

fof(f2318,plain,
    ( sk_c5 = multiply(sk_c7,identity)
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1337,f851]) ).

fof(f1337,plain,
    ( sk_c5 = multiply(sk_c7,sk_c6)
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1284,f436]) ).

fof(f1284,plain,
    ( sk_c5 = multiply(sk_c7,inverse(sk_c5))
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(superposition,[],[f1188,f700]) ).

fof(f2315,plain,
    ( identity = multiply(identity,sk_c7)
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2314,f903]) ).

fof(f2307,plain,
    ( identity = multiply(sk_c7,identity)
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1338,f903]) ).

fof(f1338,plain,
    ( sk_c5 = multiply(sk_c7,identity)
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1337,f851]) ).

fof(f1045,plain,
    ( identity = multiply(identity,sk_c7)
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1044,f373]) ).

fof(f1044,plain,
    ( identity = multiply(identity,multiply(sk_c7,identity))
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1043,f851]) ).

fof(f1043,plain,
    ( identity = multiply(sk_c6,multiply(sk_c7,sk_c6))
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f969,f436]) ).

fof(f969,plain,
    ( identity = multiply(sk_c6,multiply(sk_c7,inverse(sk_c5)))
    | ~ spl0_8 ),
    inference(superposition,[],[f462,f691]) ).

fof(f943,plain,
    ( identity = sk_c7
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f934,f1]) ).

fof(f934,plain,
    ( sk_c7 = multiply(identity,identity)
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(superposition,[],[f700,f903]) ).

fof(f2298,plain,
    ( identity = multiply(identity,sk_c7)
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f899,f903]) ).

fof(f2295,plain,
    ( identity = inverse(sk_c7)
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1651,f851]) ).

fof(f1651,plain,
    ( sk_c6 = inverse(sk_c7)
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1650,f436]) ).

fof(f2292,plain,
    ( identity = inverse(sk_c7)
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2151,f851]) ).

fof(f2151,plain,
    ( sk_c6 = inverse(sk_c7)
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1650,f436]) ).

fof(f1208,plain,
    ( identity = sk_c7
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1207,f353]) ).

fof(f1207,plain,
    ( sk_c7 = inverse(identity)
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1206,f373]) ).

fof(f1206,plain,
    ( inverse(identity) = multiply(sk_c7,identity)
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1205,f851]) ).

fof(f1205,plain,
    ( inverse(sk_c6) = multiply(sk_c7,sk_c6)
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1133,f436]) ).

fof(f1133,plain,
    ( inverse(sk_c6) = multiply(sk_c7,inverse(sk_c5))
    | ~ spl0_8 ),
    inference(superposition,[],[f1104,f691]) ).

fof(f2275,plain,
    ( identity = multiply(sk_c1,identity)
    | identity = inverse(sk_c2)
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2274,f903]) ).

fof(f903,plain,
    ( identity = sk_c5
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f891,f353]) ).

fof(f891,plain,
    ( sk_c5 = inverse(identity)
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(superposition,[],[f37,f851]) ).

fof(f2161,plain,
    ( identity = sk_c5
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2155,f353]) ).

fof(f2155,plain,
    ( sk_c5 = inverse(identity)
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(superposition,[],[f37,f851]) ).

fof(f1272,plain,
    ( ! [X0] : sk_c5 = multiply(X0,inverse(multiply(sk_c6,X0)))
    | ~ spl0_2 ),
    inference(superposition,[],[f1188,f580]) ).

fof(f1295,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c5),sk_c6) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f1188,f436]) ).

fof(f1381,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c5),sk_c6) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f1292,f37]) ).

fof(f1440,plain,
    ( ! [X0] : sk_c5 = multiply(X0,inverse(multiply(sk_c6,X0)))
    | ~ spl0_2 ),
    inference(superposition,[],[f1108,f436]) ).

fof(f1465,plain,
    ( ! [X0] : multiply(sk_c5,X0) = inverse(multiply(inverse(X0),sk_c6))
    | ~ spl0_2 ),
    inference(superposition,[],[f580,f1108]) ).

fof(f1569,plain,
    ( ! [X0] : inverse(multiply(sk_c5,X0)) = multiply(inverse(X0),sk_c6)
    | ~ spl0_2 ),
    inference(superposition,[],[f1192,f585]) ).

fof(f1676,plain,
    ( ! [X0] : sk_c5 = multiply(inverse(multiply(X0,sk_c6)),X0)
    | ~ spl0_2 ),
    inference(superposition,[],[f1507,f436]) ).

fof(f1675,plain,
    ( ! [X0] : sk_c6 = multiply(inverse(multiply(X0,sk_c5)),X0)
    | ~ spl0_2 ),
    inference(superposition,[],[f1507,f37]) ).

fof(f1571,plain,
    ( ! [X0] : inverse(multiply(sk_c6,X0)) = multiply(inverse(X0),sk_c5)
    | ~ spl0_2 ),
    inference(superposition,[],[f1192,f580]) ).

fof(f1466,plain,
    ( ! [X0] : multiply(sk_c6,X0) = inverse(multiply(inverse(X0),sk_c5))
    | ~ spl0_2 ),
    inference(superposition,[],[f585,f1108]) ).

fof(f1439,plain,
    ( ! [X0] : sk_c6 = multiply(X0,inverse(multiply(sk_c5,X0)))
    | ~ spl0_2 ),
    inference(superposition,[],[f1108,f37]) ).

fof(f1382,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c6),sk_c5) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f1292,f436]) ).

fof(f1294,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c6),sk_c5) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f1188,f37]) ).

fof(f1270,plain,
    ( ! [X0] : sk_c6 = multiply(X0,inverse(multiply(sk_c5,X0)))
    | ~ spl0_2 ),
    inference(superposition,[],[f1188,f585]) ).

fof(f1145,plain,
    ( ! [X0] : multiply(sk_c6,inverse(X0)) = inverse(multiply(X0,sk_c5))
    | ~ spl0_2 ),
    inference(superposition,[],[f585,f1104]) ).

fof(f1144,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c6)) = multiply(sk_c5,inverse(X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f580,f1104]) ).

fof(f585,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c5,X0)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f374,f37]) ).

fof(f702,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c5,multiply(sk_c5,X0))
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f700]) ).

fof(f700,plain,
    ( sk_c7 = multiply(sk_c5,sk_c5)
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f698,f37]) ).

fof(f698,plain,
    ( sk_c7 = multiply(inverse(sk_c6),sk_c5)
    | ~ spl0_8 ),
    inference(superposition,[],[f51,f691]) ).

fof(f697,plain,
    ( sk_c7 = multiply(sk_c5,sk_c5)
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(superposition,[],[f580,f691]) ).

fof(f657,plain,
    ( identity = sk_c7
    | sk_c5 = multiply(sk_c6,sk_c7)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f4,f584]) ).

fof(f580,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c6,X0)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f51,f37]) ).

fof(f634,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c5,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f632,f1]) ).

fof(f632,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c5,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f584]) ).

fof(f584,plain,
    ( identity = multiply(sk_c6,sk_c5)
    | ~ spl0_2 ),
    inference(superposition,[],[f372,f37]) ).

fof(f623,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c6,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f621,f1]) ).

fof(f621,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c6,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f579]) ).

fof(f579,plain,
    ( identity = multiply(sk_c5,sk_c6)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f37]) ).

fof(f603,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c6,X0)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f374,f436]) ).

fof(f602,plain,
    ( identity = multiply(sk_c5,sk_c6)
    | ~ spl0_2 ),
    inference(superposition,[],[f372,f436]) ).

fof(f606,plain,
    ( identity = multiply(sk_c6,sk_c5)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f601,f387]) ).

fof(f601,plain,
    ( identity = multiply(inverse(inverse(sk_c6)),sk_c5)
    | ~ spl0_2 ),
    inference(superposition,[],[f341,f436]) ).

fof(f598,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c5,X0)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f51,f436]) ).

fof(f597,plain,
    ( identity = multiply(sk_c6,sk_c5)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f436]) ).

fof(f436,plain,
    ( sk_c6 = inverse(sk_c5)
    | ~ spl0_2 ),
    inference(superposition,[],[f387,f37]) ).

fof(f586,plain,
    ( sk_c6 = inverse(sk_c5)
    | ~ spl0_2 ),
    inference(superposition,[],[f387,f37]) ).

fof(f587,plain,
    ( identity = multiply(sk_c5,sk_c6)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f583,f387]) ).

fof(f583,plain,
    ( identity = multiply(inverse(inverse(sk_c5)),sk_c6)
    | ~ spl0_2 ),
    inference(superposition,[],[f341,f37]) ).

fof(f582,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(sk_c5),X0)
    | ~ spl0_2 ),
    inference(superposition,[],[f298,f37]) ).

fof(f581,plain,
    ( sk_c6 = multiply(inverse(sk_c5),identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f289,f37]) ).

fof(f37,plain,
    ( sk_c5 = inverse(sk_c6)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f35]) ).

fof(f573,plain,
    ( ! [X3,X6,X4] :
        ( sk_c7 != inverse(X6)
        | sk_c6 != inverse(X3)
        | sk_c6 != inverse(X4)
        | sk_c5 != multiply(sk_c6,sk_c7)
        | sk_c5 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7))
        | multiply(sk_c6,sk_c5) != sk_c7 )
    | ~ spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f12,f37,f39,f3,f54,f63,f8,f7,f5,f4,f26,f25,f23,f22,f21,f18,f9,f6,f24,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f462,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f353,f288,f20,f19,f17,f16,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29]) ).

fof(f572,plain,
    ( sk_c5 = inverse(sk_c6)
    | ~ spl0_2 ),
    inference(global_subsumption,[],[f29,f1,f2,f12,f37,f39,f3,f54,f63,f8,f7,f5,f4,f26,f25,f23,f22,f21,f18,f9,f6,f24,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f462,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f353,f288,f20,f19,f17,f16,f15,f568,f10,f569,f11,f570,f13,f571,f14]) ).

fof(f571,plain,
    ( sk_c5 = inverse(sk_c6)
    | ~ spl0_2 ),
    inference(global_subsumption,[],[f29,f1,f2,f12,f37,f39,f3,f54,f63,f8,f7,f5,f4,f26,f25,f23,f22,f21,f18,f9,f6,f24,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f462,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f353,f288,f20,f19,f17,f16,f14,f15,f568,f10,f569,f11,f570,f13]) ).

fof(f570,plain,
    ( sk_c5 = inverse(sk_c6)
    | ~ spl0_2 ),
    inference(global_subsumption,[],[f29,f1,f2,f12,f37,f39,f3,f54,f63,f8,f7,f5,f4,f26,f25,f23,f22,f21,f18,f9,f6,f24,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f462,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f353,f288,f20,f19,f17,f16,f14,f13,f15,f568,f10,f569,f11]) ).

fof(f569,plain,
    ( sk_c5 = inverse(sk_c6)
    | ~ spl0_2 ),
    inference(global_subsumption,[],[f29,f1,f2,f12,f37,f39,f3,f54,f63,f8,f7,f5,f4,f26,f25,f23,f22,f21,f18,f9,f6,f24,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f462,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f353,f288,f20,f19,f17,f16,f14,f13,f11,f15,f568,f10]) ).

fof(f568,plain,
    ( sk_c5 = inverse(sk_c6)
    | ~ spl0_2 ),
    inference(global_subsumption,[],[f29,f1,f2,f12,f37,f39,f3,f54,f63,f8,f7,f5,f4,f26,f25,f23,f22,f21,f18,f9,f6,f24,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f462,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f353,f288,f20,f19,f17,f16,f14,f13,f11,f10,f15]) ).

fof(f63,plain,
    ( ! [X3,X6,X4] :
        ( sk_c7 != inverse(X6)
        | sk_c6 != inverse(X3)
        | sk_c6 != inverse(X4)
        | sk_c5 != multiply(sk_c6,sk_c7)
        | sk_c5 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7))
        | multiply(sk_c6,sk_c5) != sk_c7 )
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f29,f37]) ).

fof(f54,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c6,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f47,f1]) ).

fof(f47,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c6,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f39]) ).

fof(f39,plain,
    ( identity = multiply(sk_c5,sk_c6)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f37]) ).

fof(f2418,plain,
    ( identity != inverse(sk_c2)
    | spl0_1
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f32,f851]) ).

fof(f32,plain,
    ( sk_c6 != inverse(sk_c2)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f31]) ).

fof(f2417,plain,
    ( spl0_1
    | spl0_5 ),
    inference(avatar_contradiction_clause,[],[f2416]) ).

fof(f2416,plain,
    ( $false
    | spl0_1
    | spl0_5 ),
    inference(subsumption_resolution,[],[f40,f173]) ).

fof(f40,plain,
    ( sk_c6 = inverse(sk_c1)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f24,f32]) ).

fof(f2415,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2414]) ).

fof(f2414,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f2413,f1,f2,f12,f39,f3,f54,f63,f26,f25,f23,f22,f6,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f691,f697,f699,f700,f702,f585,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1270,f1294,f1382,f1439,f1466,f1571,f1675,f1676,f1569,f1465,f1440,f1381,f1295,f1272,f18,f24,f851,f2161,f903,f2275,f1208,f2292,f2295,f2298,f943,f1045,f2307,f2315,f2319,f2323,f2326,f2330,f2350,f2354,f2360,f2388,f2401,f694]) ).

fof(f2413,plain,
    ( identity = sk_c7
    | spl0_1
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f69,f851]) ).

fof(f69,plain,
    ( sk_c6 = sk_c7
    | spl0_1 ),
    inference(superposition,[],[f65,f42]) ).

fof(f42,plain,
    ( multiply(sk_c6,sk_c5) = sk_c7
    | spl0_1 ),
    inference(subsumption_resolution,[],[f6,f32]) ).

fof(f65,plain,
    ( sk_c6 = multiply(sk_c6,sk_c5)
    | spl0_1 ),
    inference(superposition,[],[f55,f43]) ).

fof(f43,plain,
    ( sk_c5 = multiply(sk_c1,sk_c6)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f18,f32]) ).

fof(f55,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c1,X0)) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f50,f1]) ).

fof(f50,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c1,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f41]) ).

fof(f41,plain,
    ( identity = multiply(sk_c6,sk_c1)
    | spl0_1 ),
    inference(superposition,[],[f2,f40]) ).

fof(f2412,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2411]) ).

fof(f2411,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f84,f1,f2,f12,f39,f3,f54,f63,f26,f25,f23,f22,f6,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f691,f697,f699,f700,f702,f585,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1270,f1294,f1382,f1439,f1466,f1571,f1675,f1676,f1569,f1465,f1440,f1381,f1295,f1272,f18,f24,f851,f2161,f903,f2275,f1208,f2292,f2295,f2298,f943,f1045,f2307,f2315,f2319,f2323,f2326,f2330,f2350,f2354,f2360,f2388,f2401,f694]) ).

fof(f84,plain,
    ( identity = sk_c1
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f80,f1]) ).

fof(f80,plain,
    ( sk_c1 = multiply(identity,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f57,f73]) ).

fof(f73,plain,
    ( identity = sk_c5
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f71,f39]) ).

fof(f71,plain,
    ( sk_c5 = multiply(sk_c5,sk_c6)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f54,f65]) ).

fof(f57,plain,
    ( sk_c1 = multiply(sk_c5,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f54,f41]) ).

fof(f2410,plain,
    ( ~ spl0_2
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2409]) ).

fof(f2409,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f12,f39,f3,f54,f63,f26,f25,f23,f22,f6,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f691,f697,f699,f700,f702,f585,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1270,f1294,f1382,f1439,f1466,f1571,f1675,f1676,f1569,f1465,f1440,f1381,f1295,f1272,f18,f24,f851,f2161,f903,f2275,f1208,f2292,f2295,f2298,f943,f1045,f2307,f2315,f2319,f2323,f2326,f2330,f2350,f2354,f2360,f2388,f2401,f694]) ).

fof(f2408,plain,
    ( ~ spl0_2
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2407]) ).

fof(f2407,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f2406,f1,f2,f12,f39,f3,f54,f63,f26,f25,f23,f22,f6,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f694,f691,f697,f699,f700,f702,f585,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1270,f1294,f1382,f1439,f1466,f1571,f1675,f1676,f1569,f1465,f1440,f1381,f1295,f1272,f18,f24,f851,f2161,f903,f2275,f1208,f2292,f2295,f2298,f943,f1045,f2307,f2315,f2319,f2323,f2326,f2330,f2350,f2354,f2360,f2388,f2401]) ).

fof(f2406,plain,
    ( identity = sk_c7
    | identity = multiply(sk_c7,identity)
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2405,f584]) ).

fof(f2405,plain,
    ( identity = multiply(sk_c7,identity)
    | multiply(sk_c6,sk_c5) = sk_c7
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2404,f851]) ).

fof(f2403,plain,
    ( ~ spl0_2
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2402]) ).

fof(f2402,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f12,f39,f3,f54,f63,f26,f25,f23,f22,f6,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f694,f691,f697,f699,f700,f702,f585,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1270,f1294,f1382,f1439,f1466,f1571,f1675,f1676,f1569,f1465,f1440,f1381,f1295,f1272,f18,f24,f851,f2161,f903,f2275,f1208,f2292,f2295,f2298,f943,f1045,f2307,f2315,f2319,f2323,f2326,f2330,f2350,f2354,f2360,f2388,f2401]) ).

fof(f2390,plain,
    ( ~ spl0_2
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2389]) ).

fof(f2389,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f12,f39,f3,f54,f63,f26,f25,f23,f22,f6,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f694,f691,f697,f699,f700,f702,f585,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1270,f1294,f1382,f1439,f1466,f1571,f1675,f1676,f1569,f1465,f1440,f1381,f1295,f1272,f18,f24,f851,f2161,f903,f2275,f1208,f2292,f2295,f2298,f943,f1045,f2307,f2315,f2319,f2323,f2326,f2330,f2350,f2354,f2360,f2388]) ).

fof(f2383,plain,
    ( ~ spl0_2
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2382]) ).

fof(f2382,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f2381,f1,f2,f12,f39,f3,f54,f63,f26,f25,f23,f22,f6,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f694,f691,f697,f699,f700,f702,f585,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1270,f1294,f1382,f1439,f1466,f1571,f1675,f1676,f1569,f1465,f1440,f1381,f1295,f1272,f18,f24,f851,f2161,f903,f2275,f1208,f2292,f2295,f2298,f943,f1045,f2307,f2315,f2319,f2323,f2326,f2330,f2350,f2354,f2360]) ).

fof(f2381,plain,
    ( identity = sk_c7
    | identity = multiply(sk_c1,identity)
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2380,f373]) ).

fof(f2380,plain,
    ( identity = multiply(sk_c7,identity)
    | identity = multiply(sk_c1,identity)
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2379,f851]) ).

fof(f2379,plain,
    ( sk_c6 = multiply(sk_c7,sk_c6)
    | identity = multiply(sk_c1,identity)
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2378,f857]) ).

fof(f2378,plain,
    ( identity = multiply(sk_c1,identity)
    | sk_c6 = multiply(sk_c7,sk_c4)
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2377,f903]) ).

fof(f2376,plain,
    ( ~ spl0_2
    | spl0_5
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2375]) ).

fof(f2375,plain,
    ( $false
    | ~ spl0_2
    | spl0_5
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f2374,f1,f2,f12,f39,f3,f54,f63,f26,f25,f23,f22,f6,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f694,f691,f697,f699,f700,f702,f585,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1270,f1294,f1382,f1439,f1466,f1571,f1675,f1676,f1569,f1465,f1440,f1381,f1295,f1272,f18,f24,f851,f2161,f903,f2275,f1208,f2292,f2295,f2298,f943,f1045,f2307,f2315,f2319,f2323,f2326,f2330,f2350,f2354,f2360]) ).

fof(f2374,plain,
    ( identity = multiply(sk_c7,identity)
    | spl0_5
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2373,f851]) ).

fof(f2371,plain,
    ( ~ spl0_2
    | spl0_5
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2370]) ).

fof(f2370,plain,
    ( $false
    | ~ spl0_2
    | spl0_5
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f2369,f1,f2,f12,f39,f3,f54,f63,f26,f25,f23,f22,f6,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f694,f691,f697,f699,f700,f702,f585,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1270,f1294,f1382,f1439,f1466,f1571,f1675,f1676,f1569,f1465,f1440,f1381,f1295,f1272,f18,f24,f851,f2161,f903,f2275,f1208,f2292,f2295,f2298,f943,f1045,f2307,f2315,f2319,f2323,f2326,f2330,f2350,f2354,f2360]) ).

fof(f2369,plain,
    ( identity = multiply(identity,sk_c7)
    | ~ spl0_2
    | spl0_5
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2368,f903]) ).

fof(f2368,plain,
    ( sk_c5 = multiply(identity,sk_c7)
    | spl0_5
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2367,f851]) ).

fof(f2367,plain,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | spl0_5 ),
    inference(subsumption_resolution,[],[f22,f173]) ).

fof(f2366,plain,
    ( ~ spl0_2
    | spl0_5
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2365]) ).

fof(f2365,plain,
    ( $false
    | ~ spl0_2
    | spl0_5
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f2364,f1,f2,f12,f39,f3,f54,f63,f26,f25,f23,f22,f6,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f694,f691,f697,f699,f700,f702,f585,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1270,f1294,f1382,f1439,f1466,f1571,f1675,f1676,f1569,f1465,f1440,f1381,f1295,f1272,f18,f24,f851,f2161,f903,f2275,f1208,f2292,f2295,f2298,f943,f1045,f2307,f2315,f2319,f2323,f2326,f2330,f2350,f2354,f2360]) ).

fof(f2362,plain,
    ( ~ spl0_2
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2361]) ).

fof(f2361,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f12,f39,f3,f54,f63,f26,f25,f23,f22,f6,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f694,f691,f697,f699,f700,f702,f585,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1270,f1294,f1382,f1439,f1466,f1571,f1675,f1676,f1569,f1465,f1440,f1381,f1295,f1272,f18,f24,f851,f2161,f903,f2275,f1208,f2292,f2295,f2298,f943,f1045,f2307,f2315,f2319,f2323,f2326,f2330,f2350,f2354,f2360]) ).

fof(f2356,plain,
    ( ~ spl0_2
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2355]) ).

fof(f2355,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f12,f39,f3,f54,f63,f26,f25,f23,f22,f6,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f694,f691,f697,f699,f700,f702,f585,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1270,f1294,f1382,f1439,f1466,f1571,f1675,f1676,f1569,f1465,f1440,f1381,f1295,f1272,f18,f24,f851,f2161,f903,f2275,f1208,f2292,f2295,f2298,f943,f1045,f2307,f2315,f2319,f2323,f2326,f2330,f2350,f2354]) ).

fof(f2352,plain,
    ( ~ spl0_2
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2351]) ).

fof(f2351,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f12,f39,f3,f54,f63,f26,f25,f23,f22,f6,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f694,f691,f697,f699,f700,f702,f585,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1270,f1294,f1382,f1439,f1466,f1571,f1675,f1676,f1569,f1465,f1440,f1381,f1295,f1272,f18,f24,f851,f2161,f903,f2275,f1208,f2292,f2295,f2298,f943,f1045,f2307,f2315,f2319,f2323,f2326,f2330,f2350]) ).

fof(f2348,plain,
    ( ~ spl0_2
    | spl0_5
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2347]) ).

fof(f2347,plain,
    ( $false
    | ~ spl0_2
    | spl0_5
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f2346,f1,f2,f12,f39,f3,f54,f63,f26,f25,f23,f22,f6,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f694,f691,f697,f699,f700,f702,f585,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1270,f1294,f1382,f1439,f1466,f1571,f1675,f1676,f1569,f1465,f1440,f1381,f1295,f1272,f18,f24,f851,f2161,f903,f2275,f1208,f2292,f2295,f2298,f943,f1045,f2307,f2315,f2319,f2323,f2326,f2330]) ).

fof(f2346,plain,
    ( identity = multiply(sk_c3,sk_c7)
    | spl0_5
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2345,f851]) ).

fof(f2345,plain,
    ( sk_c6 = multiply(sk_c3,sk_c7)
    | spl0_5
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2344,f857]) ).

fof(f2344,plain,
    ( sk_c4 = multiply(sk_c3,sk_c7)
    | spl0_5 ),
    inference(subsumption_resolution,[],[f26,f173]) ).

fof(f2343,plain,
    ( ~ spl0_2
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2342]) ).

fof(f2342,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f2341,f1,f2,f12,f39,f3,f54,f63,f26,f25,f23,f22,f6,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f694,f691,f697,f699,f700,f702,f585,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1270,f1294,f1382,f1439,f1466,f1571,f1675,f1676,f1569,f1465,f1440,f1381,f1295,f1272,f18,f24,f851,f2161,f903,f2275,f1208,f2292,f2295,f2298,f943,f1045,f2307,f2315,f2319,f2323,f2326,f2330]) ).

fof(f2341,plain,
    ( identity = multiply(sk_c1,identity)
    | identity = multiply(sk_c3,sk_c7)
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2340,f903]) ).

fof(f2340,plain,
    ( sk_c5 = multiply(sk_c1,identity)
    | identity = multiply(sk_c3,sk_c7)
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2339,f851]) ).

fof(f2339,plain,
    ( identity = multiply(sk_c3,sk_c7)
    | sk_c5 = multiply(sk_c1,sk_c6)
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2338,f851]) ).

fof(f2337,plain,
    ( ~ spl0_2
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2336]) ).

fof(f2336,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f2335,f1,f2,f12,f39,f3,f54,f63,f26,f25,f23,f22,f6,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f694,f691,f697,f699,f700,f702,f585,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1270,f1294,f1382,f1439,f1466,f1571,f1675,f1676,f1569,f1465,f1440,f1381,f1295,f1272,f18,f24,f851,f2161,f903,f2275,f1208,f2292,f2295,f2298,f943,f1045,f2307,f2315,f2319,f2323,f2326,f2330]) ).

fof(f2335,plain,
    ( identity = sk_c7
    | identity = multiply(sk_c3,sk_c7)
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2334,f584]) ).

fof(f2334,plain,
    ( identity = multiply(sk_c3,sk_c7)
    | multiply(sk_c6,sk_c5) = sk_c7
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2333,f851]) ).

fof(f2332,plain,
    ( ~ spl0_2
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2331]) ).

fof(f2331,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f12,f39,f3,f54,f63,f26,f25,f23,f22,f6,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f694,f691,f697,f699,f700,f702,f585,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1270,f1294,f1382,f1439,f1466,f1571,f1675,f1676,f1569,f1465,f1440,f1381,f1295,f1272,f18,f24,f851,f2161,f903,f2275,f1208,f2292,f2295,f2298,f943,f1045,f2307,f2315,f2319,f2323,f2326,f2330]) ).

fof(f2328,plain,
    ( ~ spl0_2
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2327]) ).

fof(f2327,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f12,f39,f3,f54,f63,f26,f25,f23,f22,f6,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f694,f691,f697,f699,f700,f702,f585,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1270,f1294,f1382,f1439,f1466,f1571,f1675,f1676,f1569,f1465,f1440,f1381,f1295,f1272,f18,f24,f851,f2161,f903,f2275,f1208,f2292,f2295,f2298,f943,f1045,f2307,f2315,f2319,f2323,f2326]) ).

fof(f2325,plain,
    ( ~ spl0_2
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2324]) ).

fof(f2324,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f12,f39,f3,f54,f63,f26,f25,f23,f22,f6,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f694,f691,f697,f699,f700,f702,f585,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1270,f1294,f1382,f1439,f1466,f1571,f1675,f1676,f1569,f1465,f1440,f1381,f1295,f1272,f18,f24,f851,f2161,f903,f2275,f1208,f2292,f2295,f2298,f943,f1045,f2307,f2315,f2319,f2323]) ).

fof(f2321,plain,
    ( ~ spl0_2
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2320]) ).

fof(f2320,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f12,f39,f3,f54,f63,f26,f25,f23,f22,f6,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f694,f691,f697,f699,f700,f702,f585,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1270,f1294,f1382,f1439,f1466,f1571,f1675,f1676,f1569,f1465,f1440,f1381,f1295,f1272,f18,f24,f851,f2161,f903,f2275,f1208,f2292,f2295,f2298,f943,f1045,f2307,f2315,f2319]) ).

fof(f2317,plain,
    ( ~ spl0_2
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2316]) ).

fof(f2316,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f12,f39,f3,f54,f63,f26,f25,f23,f22,f6,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f694,f691,f697,f699,f700,f702,f585,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1270,f1294,f1382,f1439,f1466,f1571,f1675,f1676,f1569,f1465,f1440,f1381,f1295,f1272,f18,f24,f851,f2161,f903,f2275,f1208,f2292,f2295,f2298,f943,f1045,f2307,f2315]) ).

fof(f2313,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2312]) ).

fof(f2312,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f595,f1,f2,f12,f39,f3,f54,f63,f26,f25,f23,f22,f6,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f694,f691,f697,f699,f700,f702,f585,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1270,f1294,f1382,f1439,f1466,f1571,f1675,f1676,f1569,f1465,f1440,f1381,f1295,f1272,f18,f24,f851,f2161,f903,f2275,f1208,f2292,f2295,f2298,f943,f1045,f2307]) ).

fof(f2311,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2310]) ).

fof(f2310,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f178,f1,f2,f12,f39,f3,f54,f63,f26,f25,f23,f22,f6,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f694,f691,f697,f699,f700,f702,f585,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1270,f1294,f1382,f1439,f1466,f1571,f1675,f1676,f1569,f1465,f1440,f1381,f1295,f1272,f18,f24,f851,f2161,f903,f2275,f1208,f2292,f2295,f2298,f943,f1045,f2307]) ).

fof(f2309,plain,
    ( ~ spl0_2
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2308]) ).

fof(f2308,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f12,f39,f3,f54,f63,f26,f25,f23,f22,f6,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f694,f691,f697,f699,f700,f702,f585,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1270,f1294,f1382,f1439,f1466,f1571,f1675,f1676,f1569,f1465,f1440,f1381,f1295,f1272,f18,f24,f851,f2161,f903,f2275,f1208,f2292,f2295,f2298,f943,f1045,f2307]) ).

fof(f2306,plain,
    ( ~ spl0_2
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2305]) ).

fof(f2305,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f12,f39,f3,f54,f63,f26,f25,f23,f22,f6,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f694,f691,f697,f699,f700,f702,f585,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1270,f1294,f1382,f1439,f1466,f1571,f1675,f1676,f1569,f1465,f1440,f1381,f1295,f1272,f18,f24,f851,f2161,f903,f2275,f1208,f2292,f2295,f2298,f943,f1045]) ).

fof(f2304,plain,
    ( ~ spl0_2
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2303]) ).

fof(f2303,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1827,f1,f2,f12,f39,f3,f54,f63,f26,f25,f23,f22,f6,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f694,f691,f697,f699,f700,f702,f585,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1270,f1294,f1382,f1439,f1466,f1571,f1675,f1676,f1569,f1465,f1440,f1381,f1295,f1272,f18,f24,f851,f2161,f903,f2275,f1208,f2292,f2295,f2298,f943]) ).

fof(f1827,plain,
    ( identity = sk_c4
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1826,f353]) ).

fof(f1826,plain,
    ( sk_c4 = inverse(identity)
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1825,f373]) ).

fof(f1825,plain,
    ( inverse(identity) = multiply(sk_c4,identity)
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1212,f903]) ).

fof(f1212,plain,
    ( inverse(identity) = multiply(sk_c4,sk_c5)
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1135,f37]) ).

fof(f1135,plain,
    ( inverse(identity) = multiply(sk_c4,inverse(sk_c6))
    | ~ spl0_11 ),
    inference(superposition,[],[f1104,f855]) ).

fof(f2302,plain,
    ( ~ spl0_2
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2301]) ).

fof(f2301,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f12,f39,f3,f54,f63,f26,f25,f23,f22,f6,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f694,f691,f697,f699,f700,f702,f585,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1270,f1294,f1382,f1439,f1466,f1571,f1675,f1676,f1569,f1465,f1440,f1381,f1295,f1272,f18,f24,f851,f2161,f903,f2275,f1208,f2292,f2295,f2298,f943]) ).

fof(f2300,plain,
    ( ~ spl0_2
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2299]) ).

fof(f2299,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f12,f39,f3,f54,f63,f26,f25,f23,f22,f6,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f694,f691,f697,f699,f700,f702,f585,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1270,f1294,f1382,f1439,f1466,f1571,f1675,f1676,f1569,f1465,f1440,f1381,f1295,f1272,f18,f24,f851,f2161,f903,f2275,f1208,f2292,f2295,f2298]) ).

fof(f2297,plain,
    ( ~ spl0_2
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2296]) ).

fof(f2296,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f12,f39,f3,f54,f63,f26,f25,f23,f22,f6,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f694,f691,f697,f699,f700,f702,f585,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1270,f1294,f1382,f1439,f1466,f1571,f1675,f1676,f1569,f1465,f1440,f1381,f1295,f1272,f18,f24,f851,f2161,f903,f2275,f1208,f2292,f2295]) ).

fof(f2294,plain,
    ( ~ spl0_2
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2293]) ).

fof(f2293,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f12,f39,f3,f54,f63,f26,f25,f23,f22,f6,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f694,f691,f697,f699,f700,f702,f585,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1270,f1294,f1382,f1439,f1466,f1571,f1675,f1676,f1569,f1465,f1440,f1381,f1295,f1272,f18,f24,f851,f2161,f903,f2275,f1208,f2292]) ).

fof(f2291,plain,
    ( ~ spl0_2
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2290]) ).

fof(f2290,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f12,f39,f3,f54,f63,f26,f25,f23,f22,f6,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f694,f691,f697,f699,f700,f702,f585,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1270,f1294,f1382,f1439,f1466,f1571,f1675,f1676,f1569,f1465,f1440,f1381,f1295,f1272,f18,f24,f851,f2161,f903,f2275,f1208]) ).

fof(f2284,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2283]) ).

fof(f2283,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f2282,f1,f2,f12,f41,f42,f43,f3,f48,f49,f55,f65,f70,f72,f69,f26,f25,f23,f22,f6,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f15,f10,f11,f13,f14,f29,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f353,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f40,f32,f18,f24,f2090,f173]) ).

fof(f2090,plain,
    ( sk_c6 = inverse(sk_c2)
    | spl0_5 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f26,f25,f23,f22,f6,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f15,f10,f11,f13,f14,f29,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f353,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f173,f18,f24]) ).

fof(f72,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c6,multiply(sk_c5,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f65]) ).

fof(f70,plain,
    ( sk_c6 = sk_c7
    | spl0_1 ),
    inference(superposition,[],[f42,f65]) ).

fof(f49,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c5,X0)) = multiply(sk_c7,X0)
    | spl0_1 ),
    inference(superposition,[],[f3,f42]) ).

fof(f48,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c6,X0)) = multiply(sk_c5,X0)
    | spl0_1 ),
    inference(superposition,[],[f3,f43]) ).

fof(f2282,plain,
    ( identity = multiply(identity,sk_c3)
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2281,f851]) ).

fof(f2281,plain,
    ( sk_c6 = multiply(identity,sk_c3)
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1342,f903]) ).

fof(f1342,plain,
    ( sk_c6 = multiply(sk_c5,sk_c3)
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1286,f595]) ).

fof(f1286,plain,
    ( sk_c6 = multiply(sk_c5,inverse(sk_c7))
    | ~ spl0_8 ),
    inference(superposition,[],[f1188,f691]) ).

fof(f2280,plain,
    ( spl0_1
    | spl0_5
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2279]) ).

fof(f2279,plain,
    ( $false
    | spl0_1
    | spl0_5
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f2278,f1,f2,f12,f41,f42,f43,f3,f48,f49,f55,f65,f70,f72,f69,f26,f25,f23,f22,f6,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f15,f10,f11,f13,f14,f29,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f353,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f40,f32,f18,f24,f2090,f173]) ).

fof(f2278,plain,
    ( identity = inverse(sk_c2)
    | spl0_5
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2090,f851]) ).

fof(f2277,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2276]) ).

fof(f2276,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f2275,f1,f2,f12,f41,f42,f43,f3,f48,f49,f55,f65,f70,f72,f69,f26,f25,f23,f22,f6,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f15,f10,f11,f13,f14,f29,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f353,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f40,f32,f18,f24,f2090,f173]) ).

fof(f2266,plain,
    ~ spl0_7,
    inference(avatar_contradiction_clause,[],[f2265]) ).

fof(f2265,plain,
    ( $false
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f2255,f387]) ).

fof(f2255,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_7 ),
    inference(trivial_inequality_removal,[],[f2252]) ).

fof(f2252,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_7 ),
    inference(superposition,[],[f548,f372]) ).

fof(f548,plain,
    ( ! [X6] :
        ( identity != multiply(identity,X6)
        | identity != inverse(X6) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f547]) ).

fof(f547,plain,
    ( spl0_7
  <=> ! [X6] :
        ( identity != multiply(identity,X6)
        | identity != inverse(X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f2264,plain,
    ~ spl0_7,
    inference(avatar_contradiction_clause,[],[f2263]) ).

fof(f2263,plain,
    ( $false
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f2262,f387]) ).

fof(f2262,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f2256,f1104]) ).

fof(f2256,plain,
    ( ! [X0] : identity != inverse(multiply(X0,inverse(multiply(identity,X0))))
    | ~ spl0_7 ),
    inference(trivial_inequality_removal,[],[f2251]) ).

fof(f2251,plain,
    ( ! [X0] :
        ( identity != identity
        | identity != inverse(multiply(X0,inverse(multiply(identity,X0)))) )
    | ~ spl0_7 ),
    inference(superposition,[],[f548,f462]) ).

fof(f2259,plain,
    ~ spl0_7,
    inference(avatar_contradiction_clause,[],[f2258]) ).

fof(f2258,plain,
    ( $false
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f2257,f353]) ).

fof(f2257,plain,
    ( identity != inverse(identity)
    | ~ spl0_7 ),
    inference(trivial_inequality_removal,[],[f2249]) ).

fof(f2249,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl0_7 ),
    inference(superposition,[],[f548,f373]) ).

fof(f2215,plain,
    ~ spl0_3,
    inference(avatar_contradiction_clause,[],[f2214]) ).

fof(f2214,plain,
    ( $false
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f2213,f387]) ).

fof(f2213,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f2205,f387]) ).

fof(f2205,plain,
    ( identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f2199]) ).

fof(f2199,plain,
    ( identity != identity
    | identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_3 ),
    inference(superposition,[],[f148,f341]) ).

fof(f148,plain,
    ( ! [X3] :
        ( identity != multiply(X3,identity)
        | identity != inverse(X3) )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f147]) ).

fof(f147,plain,
    ( spl0_3
  <=> ! [X3] :
        ( identity != multiply(X3,identity)
        | identity != inverse(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f2212,plain,
    ~ spl0_3,
    inference(avatar_contradiction_clause,[],[f2211]) ).

fof(f2211,plain,
    ( $false
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f2206,f387]) ).

fof(f2206,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f2198]) ).

fof(f2198,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_3 ),
    inference(superposition,[],[f148,f2]) ).

fof(f2210,plain,
    ~ spl0_3,
    inference(avatar_contradiction_clause,[],[f2209]) ).

fof(f2209,plain,
    ( $false
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f2207,f353]) ).

fof(f2207,plain,
    ( identity != inverse(identity)
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f2197]) ).

fof(f2197,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl0_3 ),
    inference(superposition,[],[f148,f1]) ).

fof(f2137,plain,
    ( spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2136]) ).

fof(f2136,plain,
    ( $false
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f2133,f850]) ).

fof(f2133,plain,
    ( identity = sk_c6
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(superposition,[],[f857,f2131]) ).

fof(f2131,plain,
    ( identity = sk_c4
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2130,f1]) ).

fof(f2130,plain,
    ( sk_c4 = multiply(identity,identity)
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2086,f2093]) ).

fof(f2086,plain,
    ( sk_c4 = multiply(sk_c3,identity)
    | spl0_5
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f26,f25,f23,f22,f6,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f15,f10,f11,f13,f14,f29,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f353,f695,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f173,f1919,f24,f18,f1941,f1938,f1911,f1914,f1924,f2018,f2013,f2009]) ).

fof(f2135,plain,
    ( spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2134]) ).

fof(f2134,plain,
    ( $false
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f2132,f850]) ).

fof(f2132,plain,
    ( identity = sk_c6
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(superposition,[],[f2131,f857]) ).

fof(f2079,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2078]) ).

fof(f2078,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f12,f39,f3,f54,f63,f26,f25,f23,f22,f6,f153,f154,f158,f156,f159,f162,f166,f27,f177,f180,f188,f191,f189,f196,f202,f199,f200,f203,f204,f210,f208,f219,f215,f216,f211,f221,f218,f233,f250,f51,f292,f327,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f434,f513,f508,f500,f499,f463,f458,f457,f456,f438,f437,f551,f397,f552,f389,f370,f369,f356,f340,f339,f304,f303,f301,f296,f288,f287,f555,f556,f557,f558,f195,f190,f184,f559,f560,f561,f562,f563,f564,f565,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f448,f451,f396,f485,f576,f577,f578,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f585,f730,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1235,f1311,f1270,f1294,f1382,f1416,f1424,f1439,f1466,f1527,f1571,f1675,f1878,f1879,f1676,f1569,f1886,f1465,f1888,f1889,f1440,f1381,f1891,f1892,f1295,f1272,f850,f174,f1964,f652,f1959,f24,f18,f201,f2058,f183,f2068,f209,f388,f33]) ).

fof(f388,plain,
    ( sk_c5 = sk_c2
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f373,f154]) ).

fof(f209,plain,
    ( identity = sk_c2
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f205,f1]) ).

fof(f205,plain,
    ( sk_c2 = multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f154,f201]) ).

fof(f2068,plain,
    ( sk_c5 = sk_c2
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f437,f37]) ).

fof(f183,plain,
    ( sk_c2 = sk_c1
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f181,f154]) ).

fof(f181,plain,
    ( sk_c1 = multiply(sk_c5,identity)
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f54,f180]) ).

fof(f2058,plain,
    ( sk_c5 = sk_c2
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1210,f37]) ).

fof(f201,plain,
    ( identity = sk_c5
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f197,f39]) ).

fof(f197,plain,
    ( sk_c5 = multiply(sk_c5,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f196,f159]) ).

fof(f1959,plain,
    ( sk_c5 = sk_c1
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f1220,f37]) ).

fof(f1220,plain,
    ( inverse(sk_c6) = sk_c1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f1219,f373]) ).

fof(f1219,plain,
    ( inverse(sk_c6) = multiply(sk_c1,identity)
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f1137,f353]) ).

fof(f1137,plain,
    ( inverse(sk_c6) = multiply(sk_c1,inverse(identity))
    | ~ spl0_5 ),
    inference(superposition,[],[f1104,f180]) ).

fof(f652,plain,
    ( sk_c5 = sk_c1
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f651,f373]) ).

fof(f651,plain,
    ( sk_c1 = multiply(sk_c5,identity)
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f304,f37]) ).

fof(f1964,plain,
    ( sk_c5 = sk_c1
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f438,f37]) ).

fof(f1892,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c5),sk_c6) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1297,f388]) ).

fof(f1297,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c2),sk_c6) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f1188,f33]) ).

fof(f1891,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c5),sk_c6) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f1890,f388]) ).

fof(f1890,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c2),sk_c6) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f1299,f183]) ).

fof(f1299,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c1),sk_c6) = X0
    | ~ spl0_5 ),
    inference(superposition,[],[f1188,f174]) ).

fof(f1889,plain,
    ( ! [X0] : sk_c5 = multiply(X0,inverse(multiply(sk_c6,X0)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1442,f388]) ).

fof(f1442,plain,
    ( ! [X0] : sk_c2 = multiply(X0,inverse(multiply(sk_c6,X0)))
    | ~ spl0_1 ),
    inference(superposition,[],[f1108,f33]) ).

fof(f1888,plain,
    ( ! [X0] : sk_c5 = multiply(X0,inverse(multiply(sk_c6,X0)))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f1887,f388]) ).

fof(f1887,plain,
    ( ! [X0] : sk_c2 = multiply(X0,inverse(multiply(sk_c6,X0)))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f1444,f183]) ).

fof(f1444,plain,
    ( ! [X0] : sk_c1 = multiply(X0,inverse(multiply(sk_c6,X0)))
    | ~ spl0_5 ),
    inference(superposition,[],[f1108,f174]) ).

fof(f1886,plain,
    ( ! [X0] : inverse(multiply(sk_c5,X0)) = multiply(inverse(X0),sk_c6)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1568,f388]) ).

fof(f1568,plain,
    ( ! [X0] : inverse(multiply(sk_c2,X0)) = multiply(inverse(X0),sk_c6)
    | ~ spl0_1 ),
    inference(superposition,[],[f1192,f156]) ).

fof(f1879,plain,
    ( ! [X0] : sk_c5 = multiply(inverse(multiply(X0,sk_c6)),X0)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1678,f388]) ).

fof(f1678,plain,
    ( ! [X0] : sk_c2 = multiply(inverse(multiply(X0,sk_c6)),X0)
    | ~ spl0_1 ),
    inference(superposition,[],[f1507,f33]) ).

fof(f1878,plain,
    ( ! [X0] : sk_c5 = multiply(inverse(multiply(X0,sk_c6)),X0)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f1877,f388]) ).

fof(f1877,plain,
    ( ! [X0] : sk_c2 = multiply(inverse(multiply(X0,sk_c6)),X0)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f1680,f183]) ).

fof(f1680,plain,
    ( ! [X0] : sk_c1 = multiply(inverse(multiply(X0,sk_c6)),X0)
    | ~ spl0_5 ),
    inference(superposition,[],[f1507,f174]) ).

fof(f1527,plain,
    ( ! [X0] : multiply(sk_c6,X0) = inverse(multiply(inverse(X0),sk_c5))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1468,f388]) ).

fof(f1468,plain,
    ( ! [X0] : multiply(sk_c6,X0) = inverse(multiply(inverse(X0),sk_c2))
    | ~ spl0_1 ),
    inference(superposition,[],[f156,f1108]) ).

fof(f1424,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c6),sk_c5) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f1423,f388]) ).

fof(f1423,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c6),sk_c2) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f1386,f183]) ).

fof(f1386,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c6),sk_c1) = X0
    | ~ spl0_5 ),
    inference(superposition,[],[f1292,f174]) ).

fof(f1416,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c6),sk_c5) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1384,f388]) ).

fof(f1384,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c6),sk_c2) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f1292,f33]) ).

fof(f1311,plain,
    ( ! [X0] : sk_c6 = multiply(X0,inverse(multiply(sk_c5,X0)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1269,f388]) ).

fof(f1269,plain,
    ( ! [X0] : sk_c6 = multiply(X0,inverse(multiply(sk_c2,X0)))
    | ~ spl0_1 ),
    inference(superposition,[],[f1188,f156]) ).

fof(f1235,plain,
    ( ! [X0] : multiply(sk_c6,inverse(X0)) = inverse(multiply(X0,sk_c5))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1147,f388]) ).

fof(f1147,plain,
    ( ! [X0] : multiply(sk_c6,inverse(X0)) = inverse(multiply(X0,sk_c2))
    | ~ spl0_1 ),
    inference(superposition,[],[f156,f1104]) ).

fof(f730,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(duplicate_literal_removal,[],[f729]) ).

fof(f729,plain,
    ( identity = sk_c7
    | identity = sk_c7
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f724,f584]) ).

fof(f724,plain,
    ( identity = sk_c7
    | multiply(sk_c6,sk_c5) = sk_c7
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f723,f579]) ).

fof(f723,plain,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | multiply(sk_c6,sk_c5) = sk_c7
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f5,f388]) ).

fof(f578,plain,
    ( sk_c6 = inverse(sk_c5)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f33,f388]) ).

fof(f577,plain,
    ( identity = multiply(sk_c6,sk_c5)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f153,f388]) ).

fof(f576,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c5,X0)) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f156,f388]) ).

fof(f485,plain,
    ( sk_c5 = sk_c2
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f484,f37]) ).

fof(f484,plain,
    ( sk_c2 = inverse(sk_c6)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f464,f154]) ).

fof(f464,plain,
    ( inverse(sk_c6) = multiply(sk_c5,identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f54,f372]) ).

fof(f396,plain,
    ( sk_c5 = sk_c2
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f154,f373]) ).

fof(f451,plain,
    ( sk_c5 = sk_c2
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f450,f37]) ).

fof(f450,plain,
    ( sk_c2 = inverse(sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f438,f183]) ).

fof(f448,plain,
    ( sk_c5 = sk_c2
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f437,f37]) ).

fof(f565,plain,
    ( sk_c5 = inverse(sk_c6)
    | spl0_6 ),
    inference(subsumption_resolution,[],[f15,f177]) ).

fof(f564,plain,
    ( sk_c5 = inverse(sk_c6)
    | spl0_6 ),
    inference(global_subsumption,[],[f15,f29,f1,f2,f12,f3,f8,f7,f5,f4,f26,f25,f23,f22,f21,f18,f9,f6,f24,f27,f177,f188,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f462,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f353,f301,f288,f20,f555,f19,f556,f17,f557,f16,f558,f195,f190,f559,f560,f14,f561,f13,f562,f11,f563,f10]) ).

fof(f563,plain,
    ( sk_c5 = inverse(sk_c6)
    | spl0_6 ),
    inference(global_subsumption,[],[f15,f10,f29,f1,f2,f12,f3,f8,f7,f5,f4,f26,f25,f23,f22,f21,f18,f9,f6,f24,f27,f177,f188,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f462,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f353,f301,f288,f20,f555,f19,f556,f17,f557,f16,f558,f195,f190,f559,f560,f14,f561,f13,f562,f11]) ).

fof(f562,plain,
    ( sk_c5 = inverse(sk_c6)
    | spl0_6 ),
    inference(global_subsumption,[],[f15,f10,f11,f29,f1,f2,f12,f3,f8,f7,f5,f4,f26,f25,f23,f22,f21,f18,f9,f6,f24,f27,f177,f188,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f462,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f353,f301,f288,f20,f555,f19,f556,f17,f557,f16,f558,f195,f190,f559,f560,f14,f561,f13]) ).

fof(f561,plain,
    ( sk_c5 = inverse(sk_c6)
    | spl0_6 ),
    inference(global_subsumption,[],[f15,f10,f11,f13,f29,f1,f2,f12,f3,f8,f7,f5,f4,f26,f25,f23,f22,f21,f18,f9,f6,f24,f27,f177,f188,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f462,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f353,f301,f288,f20,f555,f19,f556,f17,f557,f16,f558,f195,f190,f559,f560,f14]) ).

fof(f560,plain,
    ( ! [X3,X6,X4] :
        ( sk_c7 != inverse(X6)
        | sk_c6 != inverse(X3)
        | sk_c6 != inverse(X4)
        | sk_c5 != multiply(sk_c6,sk_c7)
        | sk_c5 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7)) )
    | spl0_6 ),
    inference(global_subsumption,[],[f15,f14,f10,f11,f13,f29,f1,f2,f12,f3,f8,f7,f5,f4,f26,f25,f23,f22,f21,f18,f9,f6,f24,f27,f177,f188,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f462,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f353,f301,f288,f20,f555,f19,f556,f17,f557,f16,f558,f195,f190,f559]) ).

fof(f559,plain,
    ( ! [X3,X6,X4] :
        ( sk_c5 != inverse(sk_c6)
        | sk_c7 != inverse(X6)
        | sk_c6 != inverse(X3)
        | sk_c6 != inverse(X4)
        | sk_c5 != multiply(sk_c6,sk_c7)
        | sk_c5 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7)) )
    | spl0_6 ),
    inference(subsumption_resolution,[],[f29,f188]) ).

fof(f184,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c1,X0)) = X0
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f182,f1]) ).

fof(f182,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c1,X0))
    | ~ spl0_5 ),
    inference(superposition,[],[f3,f180]) ).

fof(f190,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c5,X0)) = multiply(sk_c7,X0)
    | spl0_6 ),
    inference(superposition,[],[f3,f188]) ).

fof(f195,plain,
    ( sk_c5 = multiply(sk_c1,sk_c6)
    | spl0_6 ),
    inference(subsumption_resolution,[],[f21,f177]) ).

fof(f558,plain,
    ( sk_c5 = multiply(sk_c1,sk_c6)
    | spl0_6 ),
    inference(global_subsumption,[],[f15,f14,f10,f11,f13,f29,f1,f2,f12,f3,f8,f7,f5,f4,f26,f25,f23,f22,f21,f18,f9,f6,f24,f27,f177,f188,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f462,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f353,f301,f288,f20,f555,f19,f556,f17,f557,f16]) ).

fof(f557,plain,
    ( sk_c5 = multiply(sk_c1,sk_c6)
    | spl0_6 ),
    inference(global_subsumption,[],[f15,f14,f10,f11,f13,f29,f1,f2,f12,f3,f16,f8,f7,f5,f4,f26,f25,f23,f22,f21,f18,f9,f6,f24,f27,f177,f188,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f462,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f353,f301,f288,f20,f555,f19,f556,f17]) ).

fof(f556,plain,
    ( sk_c5 = multiply(sk_c1,sk_c6)
    | spl0_6 ),
    inference(global_subsumption,[],[f15,f14,f10,f11,f13,f29,f1,f2,f12,f3,f17,f16,f8,f7,f5,f4,f26,f25,f23,f22,f21,f18,f9,f6,f24,f27,f177,f188,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f462,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f353,f301,f288,f20,f555,f19]) ).

fof(f555,plain,
    ( sk_c5 = multiply(sk_c1,sk_c6)
    | spl0_6 ),
    inference(global_subsumption,[],[f15,f14,f10,f11,f13,f29,f1,f2,f12,f3,f19,f17,f16,f8,f7,f5,f4,f26,f25,f23,f22,f21,f18,f9,f6,f24,f27,f177,f188,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f462,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f353,f301,f288,f20]) ).

fof(f287,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c1,X0)) = X0
    | ~ spl0_5 ),
    inference(superposition,[],[f51,f174]) ).

fof(f301,plain,
    ( sk_c5 = multiply(inverse(sk_c6),sk_c7)
    | spl0_6 ),
    inference(superposition,[],[f51,f188]) ).

fof(f304,plain,
    ( sk_c1 = multiply(inverse(sk_c6),identity)
    | ~ spl0_5 ),
    inference(superposition,[],[f51,f180]) ).

fof(f340,plain,
    ( sk_c1 = multiply(inverse(sk_c6),identity)
    | ~ spl0_5 ),
    inference(superposition,[],[f289,f174]) ).

fof(f370,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c6),X0)
    | ~ spl0_5 ),
    inference(superposition,[],[f298,f174]) ).

fof(f457,plain,
    ( identity = multiply(sk_c1,sk_c6)
    | ~ spl0_5 ),
    inference(superposition,[],[f372,f174]) ).

fof(f500,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c6,X0)) = X0
    | ~ spl0_5 ),
    inference(superposition,[],[f374,f174]) ).

fof(f434,plain,
    ( ! [X3,X6,X4] :
        ( identity != multiply(identity,X6)
        | identity != multiply(X4,identity)
        | identity != multiply(X3,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f433,f373]) ).

fof(f433,plain,
    ( ! [X3,X6,X4] :
        ( identity != multiply(identity,multiply(X6,identity))
        | identity != multiply(X4,identity)
        | identity != multiply(X3,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f432,f218]) ).

fof(f432,plain,
    ( ! [X3,X6,X4] :
        ( sk_c6 != multiply(sk_c6,multiply(X6,sk_c6))
        | identity != multiply(X4,identity)
        | identity != multiply(X3,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f431,f211]) ).

fof(f431,plain,
    ( ! [X3,X6,X4] :
        ( identity != multiply(X4,identity)
        | identity != multiply(X3,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X6)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f430,f218]) ).

fof(f430,plain,
    ( ! [X3,X6,X4] :
        ( sk_c6 != multiply(X4,identity)
        | identity != multiply(X3,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X6)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f429,f211]) ).

fof(f429,plain,
    ( ! [X3,X6,X4] :
        ( sk_c7 != multiply(X4,identity)
        | identity != multiply(X3,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X6)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f428,f218]) ).

fof(f428,plain,
    ( ! [X3,X6,X4] :
        ( identity != multiply(X3,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X6)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f427,f201]) ).

fof(f427,plain,
    ( ! [X3,X6,X4] :
        ( sk_c5 != multiply(X3,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X6)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f426,f218]) ).

fof(f426,plain,
    ( ! [X3,X6,X4] :
        ( identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X6)
        | sk_c5 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(subsumption_resolution,[],[f425,f201]) ).

fof(f425,plain,
    ( ! [X3,X6,X4] :
        ( identity != sk_c5
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X6)
        | sk_c5 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f424,f1]) ).

fof(f424,plain,
    ( ! [X3,X6,X4] :
        ( sk_c5 != multiply(identity,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X6)
        | sk_c5 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f423,f218]) ).

fof(f423,plain,
    ( ! [X3,X6,X4] :
        ( sk_c5 != multiply(sk_c6,sk_c6)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X6)
        | sk_c5 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f422,f211]) ).

fof(f422,plain,
    ( ! [X3,X6,X4] :
        ( identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X6)
        | sk_c5 != multiply(sk_c6,sk_c7)
        | sk_c5 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f421,f218]) ).

fof(f421,plain,
    ( ! [X3,X6,X4] :
        ( identity != inverse(X3)
        | identity != inverse(X6)
        | sk_c6 != inverse(X4)
        | sk_c5 != multiply(sk_c6,sk_c7)
        | sk_c5 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f420,f218]) ).

fof(f420,plain,
    ( ! [X3,X6,X4] :
        ( identity != inverse(X6)
        | sk_c6 != inverse(X3)
        | sk_c6 != inverse(X4)
        | sk_c5 != multiply(sk_c6,sk_c7)
        | sk_c5 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f419,f218]) ).

fof(f419,plain,
    ( ! [X3,X6,X4] :
        ( sk_c6 != inverse(X6)
        | sk_c6 != inverse(X3)
        | sk_c6 != inverse(X4)
        | sk_c5 != multiply(sk_c6,sk_c7)
        | sk_c5 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f418,f211]) ).

fof(f418,plain,
    ( ! [X3,X6,X4] :
        ( sk_c7 != inverse(X6)
        | sk_c6 != inverse(X3)
        | sk_c6 != inverse(X4)
        | sk_c5 != multiply(sk_c6,sk_c7)
        | sk_c5 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7)) )
    | ~ spl0_2
    | spl0_6 ),
    inference(subsumption_resolution,[],[f63,f188]) ).

fof(f327,plain,
    ( identity = sk_c7
    | ~ spl0_2
    | spl0_6 ),
    inference(forward_demodulation,[],[f302,f2]) ).

fof(f302,plain,
    ( sk_c7 = multiply(inverse(sk_c5),sk_c5)
    | ~ spl0_2
    | spl0_6 ),
    inference(superposition,[],[f51,f189]) ).

fof(f250,plain,
    ( identity = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f216,f218]) ).

fof(f233,plain,
    ( identity = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f223,f201]) ).

fof(f223,plain,
    ( sk_c5 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f37,f218]) ).

fof(f218,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f217,f201]) ).

fof(f217,plain,
    ( sk_c6 = sk_c5
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f212,f1]) ).

fof(f212,plain,
    ( sk_c5 = multiply(identity,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f196,f209]) ).

fof(f221,plain,
    ( ! [X0] : multiply(sk_c6,X0) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f191,f211]) ).

fof(f211,plain,
    ( sk_c6 = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f207,f166]) ).

fof(f207,plain,
    ( sk_c7 = multiply(sk_c6,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f188,f201]) ).

fof(f216,plain,
    ( sk_c6 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f33,f209]) ).

fof(f215,plain,
    ( identity = multiply(sk_c6,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f153,f209]) ).

fof(f219,plain,
    ( ! [X0] : multiply(sk_c6,X0) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f214,f1]) ).

fof(f214,plain,
    ( ! [X0] : multiply(sk_c6,multiply(identity,X0)) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f156,f209]) ).

fof(f208,plain,
    ( identity = multiply(identity,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f189,f201]) ).

fof(f210,plain,
    ( ! [X0] : multiply(sk_c6,X0) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f206,f1]) ).

fof(f206,plain,
    ( ! [X0] : multiply(sk_c6,multiply(identity,X0)) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f162,f201]) ).

fof(f204,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c6,X0)) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f54,f201]) ).

fof(f203,plain,
    ( identity = multiply(identity,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f39,f201]) ).

fof(f200,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c2,multiply(sk_c6,X0))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f3,f196]) ).

fof(f199,plain,
    ( sk_c6 = multiply(sk_c6,sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f156,f196]) ).

fof(f202,plain,
    ( identity = sk_c5
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f198,f39]) ).

fof(f198,plain,
    ( sk_c5 = multiply(sk_c5,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f159,f196]) ).

fof(f196,plain,
    ( sk_c5 = multiply(sk_c2,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f195,f183]) ).

fof(f189,plain,
    ( sk_c5 = multiply(sk_c5,sk_c7)
    | ~ spl0_2
    | spl0_6 ),
    inference(superposition,[],[f54,f188]) ).

fof(f191,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6 ),
    inference(forward_demodulation,[],[f190,f162]) ).

fof(f188,plain,
    ( multiply(sk_c6,sk_c5) = sk_c7
    | spl0_6 ),
    inference(subsumption_resolution,[],[f9,f177]) ).

fof(f180,plain,
    ( identity = multiply(sk_c6,sk_c1)
    | ~ spl0_5 ),
    inference(superposition,[],[f2,f174]) ).

fof(f177,plain,
    ( sk_c7 != inverse(sk_c3)
    | spl0_6 ),
    inference(avatar_component_clause,[],[f176]) ).

fof(f166,plain,
    ( sk_c6 = multiply(sk_c6,identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f162,f39]) ).

fof(f162,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c5,X0)) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f156,f159]) ).

fof(f159,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c2,X0)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f54,f156]) ).

fof(f158,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c2,X0)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f157,f1]) ).

fof(f157,plain,
    ( ! [X0] : multiply(sk_c5,multiply(identity,X0)) = multiply(sk_c2,X0)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f154]) ).

fof(f154,plain,
    ( sk_c2 = multiply(sk_c5,identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f54,f153]) ).

fof(f2077,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2076]) ).

fof(f2076,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f12,f39,f3,f54,f63,f26,f25,f23,f22,f6,f33,f153,f154,f158,f156,f159,f162,f166,f27,f177,f180,f188,f191,f189,f196,f202,f199,f200,f203,f204,f210,f208,f219,f215,f216,f211,f221,f218,f233,f250,f51,f292,f327,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f434,f513,f508,f500,f499,f463,f458,f457,f456,f438,f437,f551,f397,f552,f389,f370,f369,f356,f340,f339,f304,f303,f301,f296,f288,f287,f555,f556,f557,f558,f195,f190,f184,f559,f560,f561,f562,f563,f564,f565,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f448,f451,f396,f485,f576,f577,f578,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f585,f730,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1235,f1311,f1270,f1294,f1382,f1416,f1424,f1439,f1466,f1527,f1571,f1675,f1878,f1879,f1676,f1569,f1886,f1465,f1888,f1889,f1440,f1381,f1891,f1892,f1295,f1272,f850,f174,f1964,f652,f1959,f24,f18,f201,f2058,f183,f2068,f209,f388]) ).

fof(f2075,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2074]) ).

fof(f2074,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f12,f39,f3,f54,f63,f26,f25,f23,f22,f6,f33,f153,f154,f158,f156,f159,f162,f166,f27,f177,f180,f188,f191,f189,f196,f202,f199,f200,f203,f204,f210,f208,f219,f215,f216,f211,f221,f218,f233,f250,f51,f292,f327,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f434,f513,f508,f500,f499,f463,f458,f457,f456,f438,f437,f551,f397,f552,f389,f370,f369,f356,f340,f339,f304,f303,f301,f296,f288,f287,f555,f556,f557,f558,f195,f190,f184,f559,f560,f561,f562,f563,f564,f565,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f448,f451,f396,f485,f388,f576,f577,f578,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f585,f730,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1235,f1311,f1270,f1294,f1382,f1416,f1424,f1439,f1466,f1527,f1571,f1675,f1878,f1879,f1676,f1569,f1886,f1465,f1888,f1889,f1440,f1381,f1891,f1892,f1295,f1272,f850,f174,f1964,f652,f1959,f24,f18,f201,f2058,f183,f2068,f209]) ).

fof(f2073,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2072]) ).

fof(f2072,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(subsumption_resolution,[],[f2071,f850]) ).

fof(f2071,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f211,f695]) ).

fof(f2070,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2069]) ).

fof(f2069,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f12,f39,f3,f54,f63,f26,f25,f23,f22,f6,f33,f153,f154,f158,f156,f159,f162,f166,f27,f177,f180,f188,f191,f189,f196,f202,f199,f200,f203,f204,f210,f208,f209,f219,f215,f216,f211,f221,f218,f233,f250,f51,f292,f327,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f434,f513,f508,f500,f499,f463,f458,f457,f456,f438,f437,f551,f397,f552,f389,f370,f369,f356,f340,f339,f304,f303,f301,f296,f288,f287,f555,f556,f557,f558,f195,f190,f184,f559,f560,f561,f562,f563,f564,f565,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f448,f451,f396,f485,f388,f576,f577,f578,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f585,f730,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1235,f1311,f1270,f1294,f1382,f1416,f1424,f1439,f1466,f1527,f1571,f1675,f1878,f1879,f1676,f1569,f1886,f1465,f1888,f1889,f1440,f1381,f1891,f1892,f1295,f1272,f850,f174,f1964,f652,f1959,f24,f18,f201,f2058,f183,f2068]) ).

fof(f2067,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2066]) ).

fof(f2066,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_10 ),
    inference(subsumption_resolution,[],[f218,f850]) ).

fof(f2065,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2064]) ).

fof(f2064,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f806,f1,f2,f12,f39,f3,f54,f63,f26,f25,f23,f22,f6,f33,f153,f154,f158,f156,f159,f162,f166,f27,f177,f180,f188,f191,f189,f196,f202,f199,f200,f203,f204,f210,f208,f209,f219,f215,f216,f211,f221,f218,f233,f250,f51,f292,f327,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f434,f513,f508,f500,f499,f463,f458,f457,f456,f438,f437,f551,f397,f552,f389,f370,f369,f356,f340,f339,f304,f303,f301,f296,f288,f287,f555,f556,f557,f558,f195,f190,f184,f559,f560,f561,f562,f563,f564,f565,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f448,f451,f396,f485,f388,f576,f577,f578,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f585,f730,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1235,f1311,f1270,f1294,f1382,f1416,f1424,f1439,f1466,f1527,f1571,f1675,f1878,f1879,f1676,f1569,f1886,f1465,f1888,f1889,f1440,f1381,f1891,f1892,f1295,f1272,f850,f174,f1964,f652,f1959,f24,f18,f201,f2058,f183]) ).

fof(f806,plain,
    ( sk_c6 = sk_c2
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f796,f373]) ).

fof(f796,plain,
    ( sk_c2 = multiply(sk_c6,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(superposition,[],[f742,f153]) ).

fof(f742,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c6,X0)) = X0
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(superposition,[],[f580,f739]) ).

fof(f2063,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2062]) ).

fof(f2062,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f12,f39,f3,f54,f63,f26,f25,f23,f22,f6,f33,f153,f154,f158,f156,f159,f162,f166,f27,f177,f180,f188,f191,f189,f196,f202,f199,f200,f203,f204,f210,f208,f209,f219,f215,f216,f211,f221,f218,f233,f250,f51,f292,f327,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f434,f513,f508,f500,f499,f463,f458,f457,f456,f438,f437,f551,f397,f552,f389,f370,f369,f356,f340,f339,f304,f303,f301,f296,f288,f287,f555,f556,f557,f558,f195,f190,f184,f559,f560,f561,f562,f563,f564,f565,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f448,f451,f396,f485,f388,f576,f577,f578,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f585,f730,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1235,f1311,f1270,f1294,f1382,f1416,f1424,f1439,f1466,f1527,f1571,f1675,f1878,f1879,f1676,f1569,f1886,f1465,f1888,f1889,f1440,f1381,f1891,f1892,f1295,f1272,f850,f174,f1964,f652,f1959,f24,f18,f201,f2058,f183]) ).

fof(f2060,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2059]) ).

fof(f2059,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f12,f39,f3,f54,f63,f26,f25,f23,f22,f6,f33,f153,f154,f158,f156,f159,f162,f166,f27,f177,f180,f188,f191,f189,f196,f202,f199,f200,f203,f204,f210,f208,f209,f219,f215,f216,f211,f221,f218,f233,f250,f51,f292,f327,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f434,f513,f508,f500,f499,f463,f458,f457,f456,f438,f437,f551,f397,f552,f389,f370,f369,f356,f340,f339,f304,f303,f301,f296,f288,f287,f555,f556,f557,f558,f195,f190,f184,f559,f560,f561,f562,f563,f564,f565,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f448,f451,f396,f485,f183,f388,f576,f577,f578,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f585,f730,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1235,f1311,f1270,f1294,f1382,f1416,f1424,f1439,f1466,f1527,f1571,f1675,f1878,f1879,f1676,f1569,f1886,f1465,f1888,f1889,f1440,f1381,f1891,f1892,f1295,f1272,f850,f174,f1964,f652,f1959,f24,f18,f201,f2058]) ).

fof(f2056,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2055]) ).

fof(f2055,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f12,f39,f3,f54,f63,f26,f25,f23,f22,f6,f33,f153,f154,f158,f156,f159,f162,f166,f27,f177,f180,f188,f191,f189,f196,f202,f199,f200,f203,f204,f210,f208,f209,f219,f215,f216,f211,f221,f218,f233,f250,f51,f292,f327,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f434,f513,f508,f500,f499,f463,f458,f457,f456,f438,f437,f551,f397,f552,f389,f370,f369,f356,f340,f339,f304,f303,f301,f296,f288,f287,f555,f556,f557,f558,f195,f190,f184,f559,f560,f561,f562,f563,f564,f565,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f448,f451,f396,f485,f183,f388,f576,f577,f578,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f585,f730,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1235,f1311,f1270,f1294,f1382,f1416,f1424,f1439,f1466,f1527,f1571,f1675,f1878,f1879,f1676,f1569,f1886,f1465,f1888,f1889,f1440,f1381,f1891,f1892,f1295,f1272,f850,f174,f1964,f652,f1959,f24,f18,f201]) ).

fof(f2054,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2053]) ).

fof(f2053,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | spl0_6
    | spl0_10 ),
    inference(global_subsumption,[],[f148,f1,f2,f12,f39,f3,f54,f63,f26,f25,f23,f22,f6,f33,f153,f154,f158,f156,f159,f162,f166,f27,f177,f180,f188,f191,f189,f196,f202,f199,f200,f201,f203,f204,f210,f208,f209,f219,f215,f216,f211,f221,f218,f233,f250,f51,f292,f327,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f434,f513,f508,f500,f499,f463,f458,f457,f456,f438,f437,f551,f397,f552,f389,f370,f369,f356,f340,f339,f304,f303,f301,f296,f288,f287,f555,f556,f557,f558,f195,f190,f184,f559,f560,f561,f562,f563,f564,f565,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f448,f451,f396,f485,f183,f388,f576,f577,f578,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f585,f730,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1235,f1311,f1270,f1294,f1382,f1416,f1424,f1439,f1466,f1527,f1571,f1675,f1878,f1879,f1676,f1569,f1886,f1465,f1888,f1889,f1440,f1381,f1891,f1892,f1295,f1272,f850,f174,f1964,f652,f1959,f24,f18]) ).

fof(f2052,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2051]) ).

fof(f2051,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f2050,f1,f2,f12,f39,f3,f54,f63,f26,f25,f23,f22,f6,f33,f153,f154,f158,f156,f159,f162,f166,f27,f177,f180,f188,f191,f189,f196,f202,f199,f200,f201,f203,f204,f210,f208,f209,f219,f215,f216,f211,f221,f218,f233,f250,f51,f292,f327,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f434,f513,f508,f500,f499,f463,f458,f457,f456,f438,f437,f551,f397,f552,f389,f370,f369,f356,f340,f339,f304,f303,f301,f296,f288,f287,f555,f556,f557,f558,f195,f190,f184,f559,f560,f561,f562,f563,f564,f565,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f448,f451,f396,f485,f183,f388,f576,f577,f578,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f585,f730,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1235,f1311,f1270,f1294,f1382,f1416,f1424,f1439,f1466,f1527,f1571,f1675,f1878,f1879,f1676,f1569,f1886,f1465,f1888,f1889,f1440,f1381,f1891,f1892,f1295,f1272,f850,f174,f1964,f652,f1959,f24,f18]) ).

fof(f2050,plain,
    ( identity != inverse(sk_c3)
    | spl0_6
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f177,f695]) ).

fof(f2049,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2048]) ).

fof(f2048,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f2047,f1,f2,f12,f39,f3,f54,f63,f26,f25,f23,f22,f6,f33,f153,f154,f158,f156,f159,f162,f166,f27,f177,f180,f188,f191,f189,f196,f202,f199,f200,f201,f203,f204,f210,f208,f209,f219,f215,f216,f211,f221,f218,f233,f250,f51,f292,f327,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f434,f513,f508,f500,f499,f463,f458,f457,f456,f438,f437,f551,f397,f552,f389,f370,f369,f356,f340,f339,f304,f303,f301,f296,f288,f287,f555,f556,f557,f558,f195,f190,f184,f559,f560,f561,f562,f563,f564,f565,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f448,f451,f396,f485,f183,f388,f576,f577,f578,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f585,f730,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1235,f1311,f1270,f1294,f1382,f1416,f1424,f1439,f1466,f1527,f1571,f1675,f1878,f1879,f1676,f1569,f1886,f1465,f1888,f1889,f1440,f1381,f1891,f1892,f1295,f1272,f850,f174,f1964,f652,f1959,f24,f18]) ).

fof(f2045,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2044]) ).

fof(f2044,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f2043,f1,f2,f12,f39,f3,f54,f63,f26,f25,f23,f22,f6,f33,f153,f154,f158,f156,f159,f162,f166,f27,f177,f180,f188,f191,f189,f196,f202,f199,f200,f201,f203,f204,f210,f208,f209,f219,f215,f216,f211,f221,f218,f233,f250,f51,f292,f327,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f434,f513,f508,f500,f499,f463,f458,f457,f456,f438,f437,f551,f397,f552,f389,f370,f369,f356,f340,f339,f304,f303,f301,f296,f288,f287,f555,f556,f557,f558,f195,f190,f184,f559,f560,f561,f562,f563,f564,f565,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f448,f451,f396,f485,f183,f388,f576,f577,f578,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f585,f730,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1235,f1311,f1270,f1294,f1382,f1416,f1424,f1439,f1466,f1527,f1571,f1675,f1878,f1879,f1676,f1569,f1886,f1465,f1888,f1889,f1440,f1381,f1891,f1892,f1295,f1272,f850,f174,f1964,f652,f1959,f24,f18]) ).

fof(f2043,plain,
    ( sk_c6 = sk_c5
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2042,f1]) ).

fof(f2042,plain,
    ( sk_c5 = multiply(identity,sk_c6)
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1337,f695]) ).

fof(f2041,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2040]) ).

fof(f2040,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f2039,f1,f2,f12,f39,f3,f54,f63,f26,f25,f23,f22,f6,f33,f153,f154,f158,f156,f159,f162,f166,f27,f177,f180,f188,f191,f189,f196,f202,f199,f200,f201,f203,f204,f210,f208,f209,f219,f215,f216,f211,f221,f218,f233,f250,f51,f292,f327,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f434,f513,f508,f500,f499,f463,f458,f457,f456,f438,f437,f551,f397,f552,f389,f370,f369,f356,f340,f339,f304,f303,f301,f296,f288,f287,f555,f556,f557,f558,f195,f190,f184,f559,f560,f561,f562,f563,f564,f565,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f448,f451,f396,f485,f183,f388,f576,f577,f578,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f585,f730,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1235,f1311,f1270,f1294,f1382,f1416,f1424,f1439,f1466,f1527,f1571,f1675,f1878,f1879,f1676,f1569,f1886,f1465,f1888,f1889,f1440,f1381,f1891,f1892,f1295,f1272,f850,f174,f1964,f652,f1959,f24,f18]) ).

fof(f2039,plain,
    ( identity = multiply(sk_c5,sk_c5)
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f700,f695]) ).

fof(f2038,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2037]) ).

fof(f2037,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f807,f1,f2,f12,f39,f3,f54,f63,f26,f25,f23,f22,f6,f33,f153,f154,f158,f156,f159,f162,f166,f27,f177,f180,f188,f191,f189,f196,f202,f199,f200,f201,f203,f204,f210,f208,f209,f219,f215,f216,f211,f221,f218,f233,f250,f51,f292,f327,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f434,f513,f508,f500,f499,f463,f458,f457,f456,f438,f437,f551,f397,f552,f389,f370,f369,f356,f340,f339,f304,f303,f301,f296,f288,f287,f555,f556,f557,f558,f195,f190,f184,f559,f560,f561,f562,f563,f564,f565,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f448,f451,f396,f485,f183,f388,f576,f577,f578,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f585,f730,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1235,f1311,f1270,f1294,f1382,f1416,f1424,f1439,f1466,f1527,f1571,f1675,f1878,f1879,f1676,f1569,f1886,f1465,f1888,f1889,f1440,f1381,f1891,f1892,f1295,f1272,f850,f174,f1964,f652,f1959,f24,f18]) ).

fof(f807,plain,
    ( sk_c6 = sk_c1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f797,f373]) ).

fof(f797,plain,
    ( sk_c1 = multiply(sk_c6,identity)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(superposition,[],[f742,f180]) ).

fof(f2036,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2035]) ).

fof(f2035,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f739,f1,f2,f12,f39,f3,f54,f63,f26,f25,f23,f22,f6,f33,f153,f154,f158,f156,f159,f162,f166,f27,f177,f180,f188,f191,f189,f196,f202,f199,f200,f201,f203,f204,f210,f208,f209,f219,f215,f216,f211,f221,f218,f233,f250,f51,f292,f327,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f434,f513,f508,f500,f499,f463,f458,f457,f456,f438,f437,f551,f397,f552,f389,f370,f369,f356,f340,f339,f304,f303,f301,f296,f288,f287,f555,f556,f557,f558,f195,f190,f184,f559,f560,f561,f562,f563,f564,f565,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f448,f451,f396,f485,f183,f388,f576,f577,f578,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f585,f730,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1235,f1311,f1270,f1294,f1382,f1416,f1424,f1439,f1466,f1527,f1571,f1675,f1878,f1879,f1676,f1569,f1886,f1465,f1888,f1889,f1440,f1381,f1891,f1892,f1295,f1272,f850,f174,f1964,f652,f1959,f24,f18]) ).

fof(f2034,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2033]) ).

fof(f2033,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f740,f1,f2,f12,f39,f3,f54,f63,f26,f25,f23,f22,f6,f33,f153,f154,f158,f156,f159,f162,f166,f27,f177,f180,f188,f191,f189,f196,f202,f199,f200,f201,f203,f204,f210,f208,f209,f219,f215,f216,f211,f221,f218,f233,f250,f51,f292,f327,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f434,f513,f508,f500,f499,f463,f458,f457,f456,f438,f437,f551,f397,f552,f389,f370,f369,f356,f340,f339,f304,f303,f301,f296,f288,f287,f555,f556,f557,f558,f195,f190,f184,f559,f560,f561,f562,f563,f564,f565,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f448,f451,f396,f485,f183,f388,f576,f577,f578,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f585,f730,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1235,f1311,f1270,f1294,f1382,f1416,f1424,f1439,f1466,f1527,f1571,f1675,f1878,f1879,f1676,f1569,f1886,f1465,f1888,f1889,f1440,f1381,f1891,f1892,f1295,f1272,f850,f174,f1964,f652,f1959,f24,f18]) ).

fof(f740,plain,
    ( sk_c6 = inverse(sk_c6)
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(superposition,[],[f436,f739]) ).

fof(f2032,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2031]) ).

fof(f2031,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f741,f1,f2,f12,f39,f3,f54,f63,f26,f25,f23,f22,f6,f33,f153,f154,f158,f156,f159,f162,f166,f27,f177,f180,f188,f191,f189,f196,f202,f199,f200,f201,f203,f204,f210,f208,f209,f219,f215,f216,f211,f221,f218,f233,f250,f51,f292,f327,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f434,f513,f508,f500,f499,f463,f458,f457,f456,f438,f437,f551,f397,f552,f389,f370,f369,f356,f340,f339,f304,f303,f301,f296,f288,f287,f555,f556,f557,f558,f195,f190,f184,f559,f560,f561,f562,f563,f564,f565,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f448,f451,f396,f485,f183,f388,f576,f577,f578,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f585,f730,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1235,f1311,f1270,f1294,f1382,f1416,f1424,f1439,f1466,f1527,f1571,f1675,f1878,f1879,f1676,f1569,f1886,f1465,f1888,f1889,f1440,f1381,f1891,f1892,f1295,f1272,f850,f174,f1964,f652,f1959,f24,f18]) ).

fof(f741,plain,
    ( identity = multiply(sk_c6,sk_c6)
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(superposition,[],[f579,f739]) ).

fof(f2030,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2029]) ).

fof(f2029,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f1873,f1,f2,f12,f39,f3,f54,f63,f26,f25,f23,f22,f6,f33,f153,f154,f158,f156,f159,f162,f166,f27,f177,f180,f188,f191,f189,f196,f202,f199,f200,f201,f203,f204,f210,f208,f209,f219,f215,f216,f211,f221,f218,f233,f250,f51,f292,f327,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f434,f513,f508,f500,f499,f463,f458,f457,f456,f438,f437,f551,f397,f552,f389,f370,f369,f356,f340,f339,f304,f303,f301,f296,f288,f287,f555,f556,f557,f558,f195,f190,f184,f559,f560,f561,f562,f563,f564,f565,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f448,f451,f396,f485,f183,f388,f576,f577,f578,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f585,f730,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1235,f1311,f1270,f1294,f1382,f1416,f1424,f1439,f1466,f1527,f1571,f1675,f1878,f1879,f1676,f1569,f1886,f1465,f1888,f1889,f1440,f1381,f1891,f1892,f1295,f1272,f850,f174,f1964,f652,f1959,f24,f18]) ).

fof(f1873,plain,
    ( ! [X3,X6,X4] :
        ( sk_c6 != multiply(identity,X6)
        | identity != multiply(X4,sk_c6)
        | sk_c6 != sk_c5
        | identity != inverse(X6)
        | sk_c6 != inverse(X3)
        | sk_c6 != inverse(X4)
        | sk_c5 != multiply(X3,sk_c6) )
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f1872,f584]) ).

fof(f1872,plain,
    ( ! [X3,X6,X4] :
        ( identity != multiply(sk_c6,sk_c5)
        | sk_c6 != multiply(identity,X6)
        | identity != multiply(X4,sk_c6)
        | sk_c6 != sk_c5
        | identity != inverse(X6)
        | sk_c6 != inverse(X3)
        | sk_c6 != inverse(X4)
        | sk_c5 != multiply(X3,sk_c6) )
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1871,f695]) ).

fof(f1871,plain,
    ( ! [X3,X6,X4] :
        ( sk_c6 != multiply(identity,X6)
        | identity != multiply(X4,sk_c6)
        | sk_c6 != sk_c5
        | identity != inverse(X6)
        | sk_c6 != inverse(X3)
        | sk_c6 != inverse(X4)
        | sk_c5 != multiply(X3,sk_c6)
        | multiply(sk_c6,sk_c5) != sk_c7 )
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1870,f373]) ).

fof(f1870,plain,
    ( ! [X3,X6,X4] :
        ( sk_c6 != multiply(identity,multiply(X6,identity))
        | identity != multiply(X4,sk_c6)
        | sk_c6 != sk_c5
        | identity != inverse(X6)
        | sk_c6 != inverse(X3)
        | sk_c6 != inverse(X4)
        | sk_c5 != multiply(X3,sk_c6)
        | multiply(sk_c6,sk_c5) != sk_c7 )
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1869,f695]) ).

fof(f1869,plain,
    ( ! [X3,X6,X4] :
        ( identity != multiply(X4,sk_c6)
        | sk_c6 != sk_c5
        | identity != inverse(X6)
        | sk_c6 != inverse(X3)
        | sk_c6 != inverse(X4)
        | sk_c5 != multiply(X3,sk_c6)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7))
        | multiply(sk_c6,sk_c5) != sk_c7 )
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1868,f695]) ).

fof(f1868,plain,
    ( ! [X3,X6,X4] :
        ( sk_c6 != sk_c5
        | identity != inverse(X6)
        | sk_c6 != inverse(X3)
        | sk_c6 != inverse(X4)
        | sk_c5 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7))
        | multiply(sk_c6,sk_c5) != sk_c7 )
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1867,f373]) ).

fof(f1867,plain,
    ( ! [X3,X6,X4] :
        ( sk_c5 != multiply(sk_c6,identity)
        | identity != inverse(X6)
        | sk_c6 != inverse(X3)
        | sk_c6 != inverse(X4)
        | sk_c5 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7))
        | multiply(sk_c6,sk_c5) != sk_c7 )
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1800,f695]) ).

fof(f1800,plain,
    ( ! [X3,X6,X4] :
        ( identity != inverse(X6)
        | sk_c6 != inverse(X3)
        | sk_c6 != inverse(X4)
        | sk_c5 != multiply(sk_c6,sk_c7)
        | sk_c5 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7))
        | multiply(sk_c6,sk_c5) != sk_c7 )
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f573,f695]) ).

fof(f2028,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2027]) ).

fof(f2027,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f1911,f1,f2,f12,f39,f3,f54,f63,f26,f25,f23,f22,f6,f33,f153,f154,f158,f156,f159,f162,f166,f27,f177,f180,f188,f191,f189,f196,f202,f199,f200,f201,f203,f204,f210,f208,f209,f219,f215,f216,f211,f221,f218,f233,f250,f51,f292,f327,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f434,f513,f508,f500,f499,f463,f458,f457,f456,f438,f437,f551,f397,f552,f389,f370,f369,f356,f340,f339,f304,f303,f301,f296,f288,f287,f555,f556,f557,f558,f195,f190,f184,f559,f560,f561,f562,f563,f564,f565,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f448,f451,f396,f485,f183,f388,f576,f577,f578,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f585,f730,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1235,f1311,f1270,f1294,f1382,f1416,f1424,f1439,f1466,f1527,f1571,f1675,f1878,f1879,f1676,f1569,f1886,f1465,f1888,f1889,f1440,f1381,f1891,f1892,f1295,f1272,f850,f174,f1964,f652,f1959,f24,f18]) ).

fof(f2026,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2025]) ).

fof(f2025,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f1914,f1,f2,f12,f39,f3,f54,f63,f26,f25,f23,f22,f6,f33,f153,f154,f158,f156,f159,f162,f166,f27,f177,f180,f188,f191,f189,f196,f202,f199,f200,f201,f203,f204,f210,f208,f209,f219,f215,f216,f211,f221,f218,f233,f250,f51,f292,f327,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f434,f513,f508,f500,f499,f463,f458,f457,f456,f438,f437,f551,f397,f552,f389,f370,f369,f356,f340,f339,f304,f303,f301,f296,f288,f287,f555,f556,f557,f558,f195,f190,f184,f559,f560,f561,f562,f563,f564,f565,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f448,f451,f396,f485,f183,f388,f576,f577,f578,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f585,f730,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1235,f1311,f1270,f1294,f1382,f1416,f1424,f1439,f1466,f1527,f1571,f1675,f1878,f1879,f1676,f1569,f1886,f1465,f1888,f1889,f1440,f1381,f1891,f1892,f1295,f1272,f850,f174,f1964,f652,f1959,f24,f18]) ).

fof(f2024,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2023]) ).

fof(f2023,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f1924,f1,f2,f12,f39,f3,f54,f63,f26,f25,f23,f22,f6,f33,f153,f154,f158,f156,f159,f162,f166,f27,f177,f180,f188,f191,f189,f196,f202,f199,f200,f201,f203,f204,f210,f208,f209,f219,f215,f216,f211,f221,f218,f233,f250,f51,f292,f327,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f434,f513,f508,f500,f499,f463,f458,f457,f456,f438,f437,f551,f397,f552,f389,f370,f369,f356,f340,f339,f304,f303,f301,f296,f288,f287,f555,f556,f557,f558,f195,f190,f184,f559,f560,f561,f562,f563,f564,f565,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f448,f451,f396,f485,f183,f388,f576,f577,f578,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f585,f730,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1235,f1311,f1270,f1294,f1382,f1416,f1424,f1439,f1466,f1527,f1571,f1675,f1878,f1879,f1676,f1569,f1886,f1465,f1888,f1889,f1440,f1381,f1891,f1892,f1295,f1272,f850,f174,f1964,f652,f1959,f24,f18]) ).

fof(f2020,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2019]) ).

fof(f2019,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f2018,f1,f2,f12,f39,f3,f54,f63,f26,f25,f23,f22,f6,f33,f153,f154,f158,f156,f159,f162,f166,f27,f177,f180,f188,f191,f189,f196,f202,f199,f200,f201,f203,f204,f210,f208,f209,f219,f215,f216,f211,f221,f218,f233,f250,f51,f292,f327,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f434,f513,f508,f500,f499,f463,f458,f457,f456,f438,f437,f551,f397,f552,f389,f370,f369,f356,f340,f339,f304,f303,f301,f296,f288,f287,f555,f556,f557,f558,f195,f190,f184,f559,f560,f561,f562,f563,f564,f565,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f448,f451,f396,f485,f183,f388,f576,f577,f578,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f585,f730,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1235,f1311,f1270,f1294,f1382,f1416,f1424,f1439,f1466,f1527,f1571,f1675,f1878,f1879,f1676,f1569,f1886,f1465,f1888,f1889,f1440,f1381,f1891,f1892,f1295,f1272,f850,f174,f1964,f652,f1959,f24,f18]) ).

fof(f2015,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2014]) ).

fof(f2014,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f2013,f1,f2,f12,f39,f3,f54,f63,f26,f25,f23,f22,f6,f33,f153,f154,f158,f156,f159,f162,f166,f27,f177,f180,f188,f191,f189,f196,f202,f199,f200,f201,f203,f204,f210,f208,f209,f219,f215,f216,f211,f221,f218,f233,f250,f51,f292,f327,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f434,f513,f508,f500,f499,f463,f458,f457,f456,f438,f437,f551,f397,f552,f389,f370,f369,f356,f340,f339,f304,f303,f301,f296,f288,f287,f555,f556,f557,f558,f195,f190,f184,f559,f560,f561,f562,f563,f564,f565,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f448,f451,f396,f485,f183,f388,f576,f577,f578,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f585,f730,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1235,f1311,f1270,f1294,f1382,f1416,f1424,f1439,f1466,f1527,f1571,f1675,f1878,f1879,f1676,f1569,f1886,f1465,f1888,f1889,f1440,f1381,f1891,f1892,f1295,f1272,f850,f174,f1964,f652,f1959,f24,f18]) ).

fof(f2011,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2010]) ).

fof(f2010,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f2009,f1,f2,f12,f39,f3,f54,f63,f26,f25,f23,f22,f6,f33,f153,f154,f158,f156,f159,f162,f166,f27,f177,f180,f188,f191,f189,f196,f202,f199,f200,f201,f203,f204,f210,f208,f209,f219,f215,f216,f211,f221,f218,f233,f250,f51,f292,f327,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f434,f513,f508,f500,f499,f463,f458,f457,f456,f438,f437,f551,f397,f552,f389,f370,f369,f356,f340,f339,f304,f303,f301,f296,f288,f287,f555,f556,f557,f558,f195,f190,f184,f559,f560,f561,f562,f563,f564,f565,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f448,f451,f396,f485,f183,f388,f576,f577,f578,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f585,f730,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1235,f1311,f1270,f1294,f1382,f1416,f1424,f1439,f1466,f1527,f1571,f1675,f1878,f1879,f1676,f1569,f1886,f1465,f1888,f1889,f1440,f1381,f1891,f1892,f1295,f1272,f850,f174,f1964,f652,f1959,f24,f18]) ).

fof(f2008,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2007]) ).

fof(f2007,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f1938,f1,f2,f12,f39,f3,f54,f63,f26,f25,f23,f22,f6,f33,f153,f154,f158,f156,f159,f162,f166,f27,f177,f180,f188,f191,f189,f196,f202,f199,f200,f201,f203,f204,f210,f208,f209,f219,f215,f216,f211,f221,f218,f233,f250,f51,f292,f327,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f434,f513,f508,f500,f499,f463,f458,f457,f456,f438,f437,f551,f397,f552,f389,f370,f369,f356,f340,f339,f304,f303,f301,f296,f288,f287,f555,f556,f557,f558,f195,f190,f184,f559,f560,f561,f562,f563,f564,f565,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f448,f451,f396,f485,f183,f388,f576,f577,f578,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f585,f730,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1235,f1311,f1270,f1294,f1382,f1416,f1424,f1439,f1466,f1527,f1571,f1675,f1878,f1879,f1676,f1569,f1886,f1465,f1888,f1889,f1440,f1381,f1891,f1892,f1295,f1272,f850,f174,f1964,f652,f1959,f24,f18]) ).

fof(f2006,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2005]) ).

fof(f2005,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f1941,f1,f2,f12,f39,f3,f54,f63,f26,f25,f23,f22,f6,f33,f153,f154,f158,f156,f159,f162,f166,f27,f177,f180,f188,f191,f189,f196,f202,f199,f200,f201,f203,f204,f210,f208,f209,f219,f215,f216,f211,f221,f218,f233,f250,f51,f292,f327,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f434,f513,f508,f500,f499,f463,f458,f457,f456,f438,f437,f551,f397,f552,f389,f370,f369,f356,f340,f339,f304,f303,f301,f296,f288,f287,f555,f556,f557,f558,f195,f190,f184,f559,f560,f561,f562,f563,f564,f565,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f448,f451,f396,f485,f183,f388,f576,f577,f578,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f585,f730,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1235,f1311,f1270,f1294,f1382,f1416,f1424,f1439,f1466,f1527,f1571,f1675,f1878,f1879,f1676,f1569,f1886,f1465,f1888,f1889,f1440,f1381,f1891,f1892,f1295,f1272,f850,f174,f1964,f652,f1959,f24,f18]) ).

fof(f2004,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2003]) ).

fof(f2003,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f12,f39,f3,f54,f63,f26,f25,f23,f22,f6,f33,f153,f154,f158,f156,f159,f162,f166,f27,f177,f180,f188,f191,f189,f196,f202,f199,f200,f201,f203,f204,f210,f208,f209,f219,f215,f216,f211,f221,f218,f233,f250,f51,f292,f327,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f434,f513,f508,f500,f499,f463,f458,f457,f456,f438,f437,f551,f397,f552,f389,f370,f369,f356,f340,f339,f304,f303,f301,f296,f288,f287,f555,f556,f557,f558,f195,f190,f184,f559,f560,f561,f562,f563,f564,f565,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f448,f451,f396,f485,f183,f388,f576,f577,f578,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f585,f730,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1235,f1311,f1270,f1294,f1382,f1416,f1424,f1439,f1466,f1527,f1571,f1675,f1878,f1879,f1676,f1569,f1886,f1465,f1888,f1889,f1440,f1381,f1891,f1892,f1295,f1272,f850,f174,f1964,f652,f1959,f24,f18]) ).

fof(f2002,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2001]) ).

fof(f2001,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f12,f39,f3,f54,f63,f26,f25,f23,f22,f6,f33,f153,f154,f158,f156,f159,f162,f166,f27,f177,f180,f188,f191,f189,f196,f202,f199,f200,f201,f203,f204,f210,f208,f209,f219,f215,f216,f211,f221,f218,f233,f250,f51,f292,f327,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f434,f513,f508,f500,f499,f463,f458,f457,f456,f438,f437,f551,f397,f552,f389,f370,f369,f356,f340,f339,f304,f303,f301,f296,f288,f287,f555,f556,f557,f558,f195,f190,f184,f559,f560,f561,f562,f563,f564,f565,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f448,f451,f396,f485,f183,f388,f576,f577,f578,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f585,f730,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1235,f1311,f1270,f1294,f1382,f1416,f1424,f1439,f1466,f1527,f1571,f1675,f1878,f1879,f1676,f1569,f1886,f1465,f1888,f1889,f1440,f1381,f1891,f1892,f1295,f1272,f850,f18,f174,f1964,f652,f1959,f24]) ).

fof(f2000,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1999]) ).

fof(f1999,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f855,f1,f2,f12,f39,f3,f54,f63,f26,f25,f23,f22,f6,f33,f153,f154,f158,f156,f159,f162,f166,f27,f177,f180,f188,f191,f189,f196,f202,f199,f200,f201,f203,f204,f210,f208,f209,f219,f215,f216,f211,f221,f218,f233,f250,f51,f292,f327,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f434,f513,f508,f500,f499,f463,f458,f457,f456,f438,f437,f551,f397,f552,f389,f370,f369,f356,f340,f339,f304,f303,f301,f296,f288,f287,f555,f556,f557,f558,f195,f190,f184,f559,f560,f561,f562,f563,f564,f565,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f448,f451,f396,f485,f183,f388,f576,f577,f578,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f585,f730,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1235,f1311,f1270,f1294,f1382,f1416,f1424,f1439,f1466,f1527,f1571,f1675,f1878,f1879,f1676,f1569,f1886,f1465,f1888,f1889,f1440,f1381,f1891,f1892,f1295,f1272,f850,f18,f24,f174,f1964,f652,f1959]) ).

fof(f1998,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1997]) ).

fof(f1997,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f857,f1,f2,f12,f39,f3,f54,f63,f26,f25,f23,f22,f6,f33,f153,f154,f158,f156,f159,f162,f166,f27,f177,f180,f188,f191,f189,f196,f202,f199,f200,f201,f203,f204,f210,f208,f209,f219,f215,f216,f211,f221,f218,f233,f250,f51,f292,f327,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f434,f513,f508,f500,f499,f463,f458,f457,f456,f438,f437,f551,f397,f552,f389,f370,f369,f356,f340,f339,f304,f303,f301,f296,f288,f287,f555,f556,f557,f558,f195,f190,f184,f559,f560,f561,f562,f563,f564,f565,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f448,f451,f396,f485,f183,f388,f576,f577,f578,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f585,f730,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1235,f1311,f1270,f1294,f1382,f1416,f1424,f1439,f1466,f1527,f1571,f1675,f1878,f1879,f1676,f1569,f1886,f1465,f1888,f1889,f1440,f1381,f1891,f1892,f1295,f1272,f850,f18,f24,f174,f1964,f652,f1959]) ).

fof(f1996,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1995]) ).

fof(f1995,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f1919,f1,f2,f12,f39,f3,f54,f63,f26,f25,f23,f22,f6,f33,f153,f154,f158,f156,f159,f162,f166,f27,f177,f180,f188,f191,f189,f196,f202,f199,f200,f201,f203,f204,f210,f208,f209,f219,f215,f216,f211,f221,f218,f233,f250,f51,f292,f327,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f434,f513,f508,f500,f499,f463,f458,f457,f456,f438,f437,f551,f397,f552,f389,f370,f369,f356,f340,f339,f304,f303,f301,f296,f288,f287,f555,f556,f557,f558,f195,f190,f184,f559,f560,f561,f562,f563,f564,f565,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f448,f451,f396,f485,f183,f388,f576,f577,f578,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f585,f730,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1235,f1311,f1270,f1294,f1382,f1416,f1424,f1439,f1466,f1527,f1571,f1675,f1878,f1879,f1676,f1569,f1886,f1465,f1888,f1889,f1440,f1381,f1891,f1892,f1295,f1272,f850,f18,f24,f174,f1964,f652,f1959]) ).

fof(f1994,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1993]) ).

fof(f1993,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f12,f39,f3,f54,f63,f26,f25,f23,f22,f6,f33,f153,f154,f158,f156,f159,f162,f166,f27,f177,f180,f188,f191,f189,f196,f202,f199,f200,f201,f203,f204,f210,f208,f209,f219,f215,f216,f211,f221,f218,f233,f250,f51,f292,f327,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f434,f513,f508,f500,f499,f463,f458,f457,f456,f438,f437,f551,f397,f552,f389,f370,f369,f356,f340,f339,f304,f303,f301,f296,f288,f287,f555,f556,f557,f558,f195,f190,f184,f559,f560,f561,f562,f563,f564,f565,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f448,f451,f396,f485,f183,f388,f576,f577,f578,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f585,f730,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1235,f1311,f1270,f1294,f1382,f1416,f1424,f1439,f1466,f1527,f1571,f1675,f1878,f1879,f1676,f1569,f1886,f1465,f1888,f1889,f1440,f1381,f1891,f1892,f1295,f1272,f850,f18,f24,f174,f1964,f652,f1959]) ).

fof(f1992,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1991]) ).

fof(f1991,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f12,f39,f3,f54,f63,f26,f25,f23,f22,f6,f33,f153,f154,f158,f156,f159,f162,f166,f27,f177,f180,f188,f191,f189,f196,f202,f199,f200,f201,f203,f204,f210,f208,f209,f219,f215,f216,f211,f221,f218,f233,f250,f51,f292,f327,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f434,f513,f508,f500,f499,f463,f458,f457,f456,f438,f437,f551,f397,f552,f389,f370,f369,f356,f340,f339,f304,f303,f301,f296,f288,f287,f555,f556,f557,f558,f195,f190,f184,f559,f560,f561,f562,f563,f564,f565,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f448,f451,f396,f485,f183,f388,f576,f577,f578,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f585,f730,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1235,f1311,f1270,f1294,f1382,f1416,f1424,f1439,f1466,f1527,f1571,f1675,f1878,f1879,f1676,f1569,f1886,f1465,f1888,f1889,f1440,f1381,f1891,f1892,f1295,f1272,f850,f18,f24,f1959,f174,f1964,f652]) ).

fof(f1990,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1989]) ).

fof(f1989,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f12,f39,f3,f54,f63,f26,f25,f23,f22,f6,f33,f153,f154,f158,f156,f159,f162,f166,f27,f177,f180,f188,f191,f189,f196,f202,f199,f200,f201,f203,f204,f210,f208,f209,f219,f215,f216,f211,f221,f218,f233,f250,f51,f292,f327,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f434,f513,f508,f500,f499,f463,f458,f457,f456,f438,f437,f551,f397,f552,f389,f370,f369,f356,f340,f339,f304,f303,f301,f296,f288,f287,f555,f556,f557,f558,f195,f190,f184,f559,f560,f561,f562,f563,f564,f565,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f448,f451,f396,f485,f183,f388,f576,f577,f578,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f585,f730,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1235,f1311,f1270,f1294,f1382,f1416,f1424,f1439,f1466,f1527,f1571,f1675,f1878,f1879,f1676,f1569,f1886,f1465,f1888,f1889,f1440,f1381,f1891,f1892,f1295,f1272,f850,f18,f24,f1959,f652,f174,f1964]) ).

fof(f1988,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1987]) ).

fof(f1987,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f12,f39,f3,f54,f63,f26,f25,f23,f22,f6,f33,f153,f154,f158,f156,f159,f162,f166,f27,f177,f180,f188,f191,f189,f196,f202,f199,f200,f201,f203,f204,f210,f208,f209,f219,f215,f216,f211,f221,f218,f233,f250,f51,f292,f327,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f434,f513,f508,f500,f499,f463,f458,f457,f456,f438,f437,f551,f397,f552,f389,f370,f369,f356,f340,f339,f304,f303,f301,f296,f288,f287,f555,f556,f557,f558,f195,f190,f184,f559,f560,f561,f562,f563,f564,f565,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f448,f451,f396,f485,f183,f388,f576,f577,f578,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f585,f730,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1235,f1311,f1270,f1294,f1382,f1416,f1424,f1439,f1466,f1527,f1571,f1675,f1878,f1879,f1676,f1569,f1886,f1465,f1888,f1889,f1440,f1381,f1891,f1892,f1295,f1272,f850,f18,f24,f1959,f652,f1964,f174]) ).

fof(f1986,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1985]) ).

fof(f1985,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | spl0_6
    | spl0_10 ),
    inference(global_subsumption,[],[f1969,f1,f2,f12,f39,f3,f54,f63,f26,f25,f23,f22,f6,f33,f153,f154,f158,f156,f159,f162,f166,f27,f177,f180,f188,f191,f189,f196,f202,f199,f200,f201,f203,f204,f210,f208,f209,f219,f215,f216,f211,f221,f218,f233,f250,f51,f292,f327,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f434,f513,f508,f500,f499,f463,f458,f457,f456,f438,f437,f551,f397,f552,f389,f370,f369,f356,f340,f339,f304,f303,f301,f296,f288,f287,f555,f556,f557,f558,f195,f190,f184,f559,f560,f561,f562,f563,f564,f565,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f448,f451,f396,f485,f183,f388,f576,f577,f578,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f585,f730,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1235,f1311,f1270,f1294,f1382,f1416,f1424,f1439,f1466,f1527,f1571,f1675,f1878,f1879,f1676,f1569,f1886,f1465,f1888,f1889,f1440,f1381,f1891,f1892,f1295,f1272,f850,f18,f24,f1959,f652,f1964,f174]) ).

fof(f1969,plain,
    ( ! [X6] :
        ( identity != multiply(identity,X6)
        | identity != inverse(X6) )
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f151,f373]) ).

fof(f151,plain,
    ( ! [X6] :
        ( identity != multiply(identity,multiply(X6,identity))
        | identity != inverse(X6) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f150]) ).

fof(f150,plain,
    ( spl0_4
  <=> ! [X6] :
        ( identity != multiply(identity,multiply(X6,identity))
        | identity != inverse(X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f1984,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1983]) ).

fof(f1983,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f12,f39,f41,f42,f43,f3,f48,f49,f54,f56,f60,f57,f62,f64,f55,f66,f65,f70,f72,f69,f75,f76,f82,f78,f83,f81,f89,f87,f88,f91,f100,f113,f129,f63,f26,f25,f23,f22,f6,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f585,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1270,f1294,f1382,f1439,f1466,f1571,f1675,f1676,f1569,f1465,f1440,f1381,f1295,f1272,f850,f18,f24,f84,f73,f40,f32]) ).

fof(f129,plain,
    ( ! [X3,X6,X4] :
        ( identity != multiply(identity,multiply(X6,identity))
        | identity != multiply(X4,identity)
        | identity != multiply(X3,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X6) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f128,f91]) ).

fof(f128,plain,
    ( ! [X3,X6,X4] :
        ( sk_c6 != multiply(sk_c6,multiply(X6,sk_c6))
        | identity != multiply(X4,identity)
        | identity != multiply(X3,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X6) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f127,f69]) ).

fof(f127,plain,
    ( ! [X3,X6,X4] :
        ( identity != multiply(X4,identity)
        | identity != multiply(X3,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X6)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7)) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f126,f91]) ).

fof(f126,plain,
    ( ! [X3,X6,X4] :
        ( sk_c6 != multiply(X4,identity)
        | identity != multiply(X3,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X6)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7)) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f125,f69]) ).

fof(f125,plain,
    ( ! [X3,X6,X4] :
        ( sk_c7 != multiply(X4,identity)
        | identity != multiply(X3,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X6)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7)) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f124,f91]) ).

fof(f124,plain,
    ( ! [X3,X6,X4] :
        ( identity != multiply(X3,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X6)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7)) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f123,f73]) ).

fof(f123,plain,
    ( ! [X3,X6,X4] :
        ( sk_c5 != multiply(X3,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X6)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7)) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f122,f91]) ).

fof(f122,plain,
    ( ! [X3,X6,X4] :
        ( identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X6)
        | sk_c5 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7)) )
    | spl0_1
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f121,f73]) ).

fof(f121,plain,
    ( ! [X3,X6,X4] :
        ( identity != sk_c5
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X6)
        | sk_c5 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7)) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f120,f1]) ).

fof(f120,plain,
    ( ! [X3,X6,X4] :
        ( sk_c5 != multiply(identity,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X6)
        | sk_c5 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7)) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f119,f91]) ).

fof(f119,plain,
    ( ! [X3,X6,X4] :
        ( sk_c5 != multiply(sk_c6,sk_c6)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X6)
        | sk_c5 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7)) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f118,f69]) ).

fof(f118,plain,
    ( ! [X3,X6,X4] :
        ( identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X6)
        | sk_c5 != multiply(sk_c6,sk_c7)
        | sk_c5 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7)) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f117,f91]) ).

fof(f117,plain,
    ( ! [X3,X6,X4] :
        ( identity != inverse(X3)
        | identity != inverse(X6)
        | sk_c6 != inverse(X4)
        | sk_c5 != multiply(sk_c6,sk_c7)
        | sk_c5 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7)) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f116,f91]) ).

fof(f116,plain,
    ( ! [X3,X6,X4] :
        ( identity != inverse(X6)
        | sk_c6 != inverse(X3)
        | sk_c6 != inverse(X4)
        | sk_c5 != multiply(sk_c6,sk_c7)
        | sk_c5 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7)) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f115,f91]) ).

fof(f115,plain,
    ( ! [X3,X6,X4] :
        ( sk_c6 != inverse(X6)
        | sk_c6 != inverse(X3)
        | sk_c6 != inverse(X4)
        | sk_c5 != multiply(sk_c6,sk_c7)
        | sk_c5 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7)) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f64,f69]) ).

fof(f113,plain,
    ( identity = inverse(identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f88,f91]) ).

fof(f100,plain,
    ( identity = inverse(identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f92,f73]) ).

fof(f92,plain,
    ( sk_c5 = inverse(identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f37,f91]) ).

fof(f91,plain,
    ( identity = sk_c6
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f90,f73]) ).

fof(f90,plain,
    ( sk_c6 = sk_c5
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f86,f1]) ).

fof(f86,plain,
    ( sk_c5 = multiply(identity,sk_c6)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f43,f84]) ).

fof(f88,plain,
    ( sk_c6 = inverse(identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f40,f84]) ).

fof(f87,plain,
    ( identity = multiply(sk_c6,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f41,f84]) ).

fof(f89,plain,
    ( ! [X0] : multiply(sk_c6,X0) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f85,f1]) ).

fof(f85,plain,
    ( ! [X0] : multiply(sk_c6,multiply(identity,X0)) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f55,f84]) ).

fof(f81,plain,
    ( sk_c6 = multiply(sk_c6,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f65,f73]) ).

fof(f83,plain,
    ( identity = multiply(identity,sk_c6)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f79,f69]) ).

fof(f79,plain,
    ( identity = multiply(identity,sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f56,f73]) ).

fof(f78,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c6,X0)) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f54,f73]) ).

fof(f82,plain,
    ( sk_c6 = multiply(sk_c6,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f77,f69]) ).

fof(f77,plain,
    ( sk_c7 = multiply(sk_c6,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f42,f73]) ).

fof(f76,plain,
    ( identity = multiply(identity,sk_c6)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f39,f73]) ).

fof(f75,plain,
    ( identity = sk_c5
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f74,f39]) ).

fof(f74,plain,
    ( sk_c5 = multiply(sk_c5,sk_c6)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f56,f69]) ).

fof(f66,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c1,X0)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f54,f55]) ).

fof(f64,plain,
    ( ! [X3,X6,X4] :
        ( sk_c7 != inverse(X6)
        | sk_c6 != inverse(X3)
        | sk_c6 != inverse(X4)
        | sk_c5 != multiply(sk_c6,sk_c7)
        | sk_c5 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7)) )
    | spl0_1
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f63,f42]) ).

fof(f62,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c1,X0)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f61,f1]) ).

fof(f61,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c5,multiply(identity,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f57]) ).

fof(f60,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c5,multiply(sk_c7,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f56]) ).

fof(f56,plain,
    ( sk_c5 = multiply(sk_c5,sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f54,f42]) ).

fof(f1982,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1981]) ).

fof(f1981,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f12,f32,f39,f41,f42,f43,f3,f48,f49,f54,f56,f60,f57,f62,f64,f55,f66,f65,f70,f72,f69,f75,f76,f82,f78,f83,f81,f89,f87,f88,f91,f100,f113,f129,f63,f26,f25,f23,f22,f6,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f585,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1270,f1294,f1382,f1439,f1466,f1571,f1675,f1676,f1569,f1465,f1440,f1381,f1295,f1272,f850,f18,f24,f84,f73,f40]) ).

fof(f1980,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1979]) ).

fof(f1979,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(subsumption_resolution,[],[f91,f850]) ).

fof(f1978,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1977]) ).

fof(f1977,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f12,f32,f39,f40,f41,f42,f43,f3,f48,f49,f54,f56,f60,f57,f62,f64,f55,f66,f65,f70,f72,f69,f75,f76,f82,f78,f83,f81,f89,f87,f88,f91,f100,f113,f129,f63,f26,f25,f23,f22,f6,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f585,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1270,f1294,f1382,f1439,f1466,f1571,f1675,f1676,f1569,f1465,f1440,f1381,f1295,f1272,f850,f18,f24,f84,f73]) ).

fof(f1976,plain,
    ( spl0_1
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1975]) ).

fof(f1975,plain,
    ( $false
    | spl0_1
    | ~ spl0_9
    | spl0_10 ),
    inference(subsumption_resolution,[],[f1974,f850]) ).

fof(f1974,plain,
    ( identity = sk_c6
    | spl0_1
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f69,f695]) ).

fof(f1973,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1972]) ).

fof(f1972,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f12,f32,f39,f40,f41,f42,f43,f3,f48,f49,f54,f56,f60,f57,f62,f64,f55,f66,f65,f70,f72,f69,f75,f73,f76,f82,f78,f83,f81,f89,f87,f88,f91,f100,f113,f129,f63,f26,f25,f23,f22,f6,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f585,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1270,f1294,f1382,f1439,f1466,f1571,f1675,f1676,f1569,f1465,f1440,f1381,f1295,f1272,f850,f18,f24,f84]) ).

fof(f1971,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1970]) ).

fof(f1970,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_10 ),
    inference(global_subsumption,[],[f1969,f1,f2,f12,f32,f39,f40,f41,f42,f43,f3,f48,f49,f54,f56,f60,f57,f62,f64,f55,f66,f65,f70,f72,f69,f75,f73,f76,f82,f78,f83,f81,f84,f89,f87,f88,f91,f100,f113,f129,f63,f26,f25,f23,f22,f6,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f585,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1270,f1294,f1382,f1439,f1466,f1571,f1675,f1676,f1569,f1465,f1440,f1381,f1295,f1272,f850,f18,f24]) ).

fof(f1968,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1967]) ).

fof(f1967,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_10 ),
    inference(global_subsumption,[],[f174,f1,f2,f12,f32,f39,f40,f41,f42,f43,f3,f48,f49,f54,f56,f60,f57,f62,f64,f55,f66,f65,f70,f72,f69,f75,f73,f76,f82,f78,f83,f81,f84,f89,f87,f88,f91,f100,f113,f129,f63,f26,f25,f23,f22,f6,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f585,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1270,f1294,f1382,f1439,f1466,f1571,f1675,f1676,f1569,f1465,f1440,f1381,f1295,f1272,f850,f18,f24]) ).

fof(f1966,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1965]) ).

fof(f1965,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_10 ),
    inference(global_subsumption,[],[f1964,f1,f2,f12,f32,f39,f40,f41,f42,f43,f3,f48,f49,f54,f56,f60,f57,f62,f64,f55,f66,f65,f70,f72,f69,f75,f73,f76,f82,f78,f83,f81,f84,f89,f87,f88,f91,f100,f113,f129,f63,f26,f25,f23,f22,f6,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f585,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1270,f1294,f1382,f1439,f1466,f1571,f1675,f1676,f1569,f1465,f1440,f1381,f1295,f1272,f850,f18,f24]) ).

fof(f1963,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1962]) ).

fof(f1962,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_10 ),
    inference(global_subsumption,[],[f652,f1,f2,f12,f32,f39,f40,f41,f42,f43,f3,f48,f49,f54,f56,f60,f57,f62,f64,f55,f66,f65,f70,f72,f69,f75,f73,f76,f82,f78,f83,f81,f84,f89,f87,f88,f91,f100,f113,f129,f63,f26,f25,f23,f22,f6,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f585,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1270,f1294,f1382,f1439,f1466,f1571,f1675,f1676,f1569,f1465,f1440,f1381,f1295,f1272,f850,f18,f24]) ).

fof(f1961,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1960]) ).

fof(f1960,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_10 ),
    inference(global_subsumption,[],[f1959,f1,f2,f12,f32,f39,f40,f41,f42,f43,f3,f48,f49,f54,f56,f60,f57,f62,f64,f55,f66,f65,f70,f72,f69,f75,f73,f76,f82,f78,f83,f81,f84,f89,f87,f88,f91,f100,f113,f129,f63,f26,f25,f23,f22,f6,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f585,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1270,f1294,f1382,f1439,f1466,f1571,f1675,f1676,f1569,f1465,f1440,f1381,f1295,f1272,f850,f18,f24]) ).

fof(f1958,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1957]) ).

fof(f1957,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f1919,f1,f2,f12,f32,f39,f40,f41,f42,f43,f3,f48,f49,f54,f56,f60,f57,f62,f64,f55,f66,f65,f70,f72,f69,f75,f73,f76,f82,f78,f83,f81,f84,f89,f87,f88,f91,f100,f113,f129,f63,f26,f25,f23,f22,f6,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f585,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1270,f1294,f1382,f1439,f1466,f1571,f1675,f1676,f1569,f1465,f1440,f1381,f1295,f1272,f850,f18,f24]) ).

fof(f1956,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1955]) ).

fof(f1955,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f867,f1,f2,f12,f32,f39,f40,f41,f42,f43,f3,f48,f49,f54,f56,f60,f57,f62,f64,f55,f66,f65,f70,f72,f69,f75,f73,f76,f82,f78,f83,f81,f84,f89,f87,f88,f91,f100,f113,f129,f63,f26,f25,f23,f22,f6,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f585,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1270,f1294,f1382,f1439,f1466,f1571,f1675,f1676,f1569,f1465,f1440,f1381,f1295,f1272,f850,f18,f24]) ).

fof(f867,plain,
    ( sk_c5 = multiply(sk_c1,sk_c6)
    | ~ spl0_6
    | spl0_10
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f866,f850]) ).

fof(f866,plain,
    ( identity = sk_c6
    | sk_c5 = multiply(sk_c1,sk_c6)
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f865,f857]) ).

fof(f1954,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1953]) ).

fof(f1953,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f857,f1,f2,f12,f32,f39,f40,f41,f42,f43,f3,f48,f49,f54,f56,f60,f57,f62,f64,f55,f66,f65,f70,f72,f69,f75,f73,f76,f82,f78,f83,f81,f84,f89,f87,f88,f91,f100,f113,f129,f63,f26,f25,f23,f22,f6,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f585,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1270,f1294,f1382,f1439,f1466,f1571,f1675,f1676,f1569,f1465,f1440,f1381,f1295,f1272,f850,f18,f24]) ).

fof(f1952,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1951]) ).

fof(f1951,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f855,f1,f2,f12,f32,f39,f40,f41,f42,f43,f3,f48,f49,f54,f56,f60,f57,f62,f64,f55,f66,f65,f70,f72,f69,f75,f73,f76,f82,f78,f83,f81,f84,f89,f87,f88,f91,f100,f113,f129,f63,f26,f25,f23,f22,f6,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f585,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1270,f1294,f1382,f1439,f1466,f1571,f1675,f1676,f1569,f1465,f1440,f1381,f1295,f1272,f850,f18,f24]) ).

fof(f1950,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1949]) ).

fof(f1949,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f12,f32,f39,f40,f41,f42,f43,f3,f48,f49,f54,f56,f60,f57,f62,f64,f55,f66,f65,f70,f72,f69,f75,f73,f76,f82,f78,f83,f81,f84,f89,f87,f88,f91,f100,f113,f129,f63,f26,f25,f23,f22,f6,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f585,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1270,f1294,f1382,f1439,f1466,f1571,f1675,f1676,f1569,f1465,f1440,f1381,f1295,f1272,f850,f18,f24]) ).

fof(f1947,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1946]) ).

fof(f1946,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f12,f32,f39,f40,f41,f42,f43,f3,f48,f49,f54,f56,f60,f57,f62,f64,f55,f66,f65,f70,f72,f69,f75,f73,f76,f82,f78,f83,f81,f84,f89,f87,f88,f91,f100,f113,f129,f63,f26,f25,f23,f22,f6,f24,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f585,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1270,f1294,f1382,f1439,f1466,f1571,f1675,f1676,f1569,f1465,f1440,f1381,f1295,f1272,f850,f18]) ).

fof(f1943,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1942]) ).

fof(f1942,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f1941,f1,f2,f12,f32,f39,f40,f41,f42,f43,f3,f48,f49,f54,f56,f60,f57,f62,f64,f55,f66,f65,f70,f72,f69,f75,f73,f76,f82,f78,f83,f81,f84,f89,f87,f88,f91,f100,f113,f129,f63,f26,f25,f23,f22,f18,f6,f24,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f585,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1270,f1294,f1382,f1439,f1466,f1571,f1675,f1676,f1569,f1465,f1440,f1381,f1295,f1272,f850]) ).

fof(f1940,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1939]) ).

fof(f1939,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f1938,f1,f2,f12,f32,f39,f40,f41,f42,f43,f3,f48,f49,f54,f56,f60,f57,f62,f64,f55,f66,f65,f70,f72,f69,f75,f73,f76,f82,f78,f83,f81,f84,f89,f87,f88,f91,f100,f113,f129,f63,f26,f25,f23,f22,f18,f6,f24,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f580,f657,f585,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1144,f1145,f1270,f1294,f1382,f1439,f1466,f1571,f1675,f1676,f1569,f1465,f1440,f1381,f1295,f1272,f850]) ).

fof(f1937,plain,
    ( spl0_5
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1936]) ).

fof(f1936,plain,
    ( $false
    | spl0_5
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f855,f1,f2,f12,f3,f26,f25,f23,f22,f18,f6,f24,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f15,f10,f11,f13,f14,f29,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f353,f695,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1853,f1912,f1914,f1915,f1925,f173,f1919]) ).

fof(f1925,plain,
    ( sk_c6 = inverse(sk_c1)
    | spl0_8
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f1924,f1853]) ).

fof(f1915,plain,
    ( sk_c5 = multiply(sk_c1,sk_c6)
    | spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f26,f25,f23,f22,f18,f6,f24,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f15,f10,f11,f13,f14,f29,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f353,f695,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1853,f1912,f1914]) ).

fof(f1912,plain,
    ( sk_c5 = multiply(sk_c1,sk_c6)
    | spl0_8
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f1911,f1853]) ).

fof(f1853,plain,
    ( sk_c6 != sk_c5
    | spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1852,f373]) ).

fof(f1852,plain,
    ( sk_c5 != multiply(sk_c6,identity)
    | spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f690,f695]) ).

fof(f1935,plain,
    ( spl0_5
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1934]) ).

fof(f1934,plain,
    ( $false
    | spl0_5
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f857,f1,f2,f12,f3,f26,f25,f23,f22,f18,f6,f24,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f15,f10,f11,f13,f14,f29,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f353,f695,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1853,f1912,f1914,f1915,f1925,f173,f1919]) ).

fof(f1933,plain,
    ( spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1932]) ).

fof(f1932,plain,
    ( $false
    | spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f867,f1,f2,f12,f3,f26,f25,f23,f22,f18,f6,f24,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f15,f10,f11,f13,f14,f29,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f353,f695,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1853,f1912,f1914,f1915,f1925,f173,f1919]) ).

fof(f1931,plain,
    ( spl0_5
    | spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1930]) ).

fof(f1930,plain,
    ( $false
    | spl0_5
    | spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f26,f25,f23,f22,f18,f6,f24,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f15,f10,f11,f13,f14,f29,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f353,f695,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1853,f1912,f1914,f1915,f1925,f173,f1919]) ).

fof(f1929,plain,
    ( spl0_5
    | spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1928]) ).

fof(f1928,plain,
    ( $false
    | spl0_5
    | spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f26,f25,f23,f22,f18,f6,f24,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f15,f10,f11,f13,f14,f29,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f353,f695,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1853,f1912,f1914,f1915,f1919,f1925,f173]) ).

fof(f1927,plain,
    ( spl0_5
    | ~ spl0_9
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1926]) ).

fof(f1926,plain,
    ( $false
    | spl0_5
    | ~ spl0_9
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f26,f25,f23,f22,f18,f6,f24,f27,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f288,f15,f10,f11,f13,f14,f29,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f353,f695,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f854,f1914,f1919,f1920,f173]) ).

fof(f1908,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_8
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1907]) ).

fof(f1907,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_8
    | ~ spl0_9
    | spl0_10 ),
    inference(subsumption_resolution,[],[f1906,f850]) ).

fof(f1906,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1900,f353]) ).

fof(f1900,plain,
    ( sk_c6 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_8
    | ~ spl0_9 ),
    inference(superposition,[],[f436,f1862]) ).

fof(f1862,plain,
    ( identity = sk_c5
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f1,f2,f12,f39,f3,f54,f63,f26,f25,f23,f22,f18,f6,f24,f33,f153,f154,f158,f156,f159,f162,f166,f27,f174,f180,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f494,f472,f374,f512,f521,f513,f508,f500,f499,f463,f458,f457,f456,f438,f437,f551,f397,f552,f389,f370,f369,f356,f340,f339,f304,f303,f296,f288,f287,f184,f15,f568,f10,f569,f11,f570,f13,f571,f14,f572,f29,f573,f16,f17,f19,f20,f8,f7,f5,f4,f21,f9,f448,f451,f396,f485,f183,f388,f576,f577,f578,f37,f581,f582,f587,f586,f436,f597,f598,f606,f602,f603,f579,f623,f584,f634,f353,f652,f580,f657,f585,f730,f695,f462,f951,f976,f1069,f1106,f1109,f1104,f1114,f1124,f1140,f1242,f1150,f1151,f1153,f1154,f1188,f1266,f1276,f1301,f1302,f1303,f1304,f1292,f1394,f1397,f1398,f1399,f1400,f1108,f1455,f1459,f1471,f1472,f1473,f1474,f1476,f1477,f1192,f1565,f1574,f1575,f1594,f1598,f1600,f1507,f1691,f1697,f1701,f1703,f1853,f1861]) ).

fof(f1861,plain,
    ( sk_c6 = sk_c5
    | identity = sk_c5
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1860,f373]) ).

fof(f1860,plain,
    ( sk_c5 = multiply(sk_c6,identity)
    | identity = sk_c5
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1859,f695]) ).

fof(f1859,plain,
    ( identity = sk_c5
    | sk_c5 = multiply(sk_c6,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f1858,f579]) ).

fof(f1858,plain,
    ( sk_c5 = multiply(sk_c5,sk_c6)
    | sk_c5 = multiply(sk_c6,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f1857,f388]) ).

fof(f1857,plain,
    ( sk_c5 = multiply(sk_c2,sk_c6)
    | sk_c5 = multiply(sk_c6,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f16,f183]) ).

fof(f1856,plain,
    ( ~ spl0_2
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1855]) ).

fof(f1855,plain,
    ( $false
    | ~ spl0_2
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1854,f851]) ).

fof(f1854,plain,
    ( identity != sk_c6
    | ~ spl0_2
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1853,f903]) ).

fof(f1743,plain,
    ( spl0_3
    | spl0_3
    | spl0_7
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f1257,f849,f693,f689,f35,f547,f147,f147]) ).

fof(f1257,plain,
    ( ! [X3,X6,X4] :
        ( identity != multiply(identity,X6)
        | identity != multiply(X4,identity)
        | identity != multiply(X3,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X6) )
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1256,f584]) ).

fof(f1256,plain,
    ( ! [X3,X6,X4] :
        ( identity != multiply(sk_c6,sk_c5)
        | identity != multiply(identity,X6)
        | identity != multiply(X4,identity)
        | identity != multiply(X3,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X6) )
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1255,f695]) ).

fof(f1255,plain,
    ( ! [X3,X6,X4] :
        ( identity != multiply(identity,X6)
        | identity != multiply(X4,identity)
        | identity != multiply(X3,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X6)
        | multiply(sk_c6,sk_c5) != sk_c7 )
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1254,f851]) ).

fof(f1254,plain,
    ( ! [X3,X6,X4] :
        ( sk_c6 != multiply(identity,X6)
        | identity != multiply(X4,identity)
        | identity != multiply(X3,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X6)
        | multiply(sk_c6,sk_c5) != sk_c7 )
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1253,f373]) ).

fof(f1253,plain,
    ( ! [X3,X6,X4] :
        ( sk_c6 != multiply(identity,multiply(X6,identity))
        | identity != multiply(X4,identity)
        | identity != multiply(X3,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X6)
        | multiply(sk_c6,sk_c5) != sk_c7 )
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1252,f695]) ).

fof(f1252,plain,
    ( ! [X3,X6,X4] :
        ( identity != multiply(X4,identity)
        | identity != multiply(X3,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X6)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7))
        | multiply(sk_c6,sk_c5) != sk_c7 )
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1251,f695]) ).

fof(f1251,plain,
    ( ! [X3,X6,X4] :
        ( sk_c7 != multiply(X4,identity)
        | identity != multiply(X3,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X6)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7))
        | multiply(sk_c6,sk_c5) != sk_c7 )
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1250,f851]) ).

fof(f1250,plain,
    ( ! [X3,X6,X4] :
        ( identity != multiply(X3,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X6)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7))
        | multiply(sk_c6,sk_c5) != sk_c7 )
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1249,f851]) ).

fof(f1249,plain,
    ( ! [X3,X6,X4] :
        ( sk_c6 != multiply(X3,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X6)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7))
        | multiply(sk_c6,sk_c5) != sk_c7 )
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1248,f739]) ).

fof(f1248,plain,
    ( ! [X3,X6,X4] :
        ( sk_c5 != multiply(X3,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X6)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7))
        | multiply(sk_c6,sk_c5) != sk_c7 )
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1247,f851]) ).

fof(f1247,plain,
    ( ! [X3,X6,X4] :
        ( identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X6)
        | sk_c5 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7))
        | multiply(sk_c6,sk_c5) != sk_c7 )
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1246,f851]) ).

fof(f1246,plain,
    ( ! [X3,X6,X4] :
        ( identity != inverse(X3)
        | identity != inverse(X6)
        | sk_c6 != inverse(X4)
        | sk_c5 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7))
        | multiply(sk_c6,sk_c5) != sk_c7 )
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1245,f851]) ).

fof(f1245,plain,
    ( ! [X3,X6,X4] :
        ( identity != inverse(X6)
        | sk_c6 != inverse(X3)
        | sk_c6 != inverse(X4)
        | sk_c5 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7))
        | multiply(sk_c6,sk_c5) != sk_c7 )
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1244,f695]) ).

fof(f1244,plain,
    ( ! [X3,X6,X4] :
        ( sk_c7 != inverse(X6)
        | sk_c6 != inverse(X3)
        | sk_c6 != inverse(X4)
        | sk_c5 != multiply(X3,sk_c6)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7))
        | multiply(sk_c6,sk_c5) != sk_c7 )
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f573,f691]) ).

fof(f887,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f886]) ).

fof(f886,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f878,f850]) ).

fof(f878,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11 ),
    inference(superposition,[],[f739,f870]) ).

fof(f870,plain,
    ( identity = sk_c5
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f869,f579]) ).

fof(f869,plain,
    ( sk_c5 = multiply(sk_c5,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f868,f388]) ).

fof(f868,plain,
    ( sk_c5 = multiply(sk_c2,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f867,f183]) ).

fof(f883,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f882]) ).

fof(f882,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_10
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f881,f850]) ).

fof(f881,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f872,f353]) ).

fof(f872,plain,
    ( sk_c6 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_10
    | ~ spl0_11 ),
    inference(superposition,[],[f436,f870]) ).

fof(f880,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f879]) ).

fof(f879,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f871,f850]) ).

fof(f871,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11 ),
    inference(superposition,[],[f870,f739]) ).

fof(f856,plain,
    ( spl0_10
    | spl0_11
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f847,f693,f689,f172,f35,f31,f853,f849]) ).

fof(f847,plain,
    ( sk_c6 = multiply(identity,sk_c4)
    | identity = sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f846,f695]) ).

fof(f846,plain,
    ( identity = sk_c6
    | sk_c6 = multiply(sk_c7,sk_c4)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f845,f739]) ).

fof(f845,plain,
    ( identity = sk_c5
    | sk_c6 = multiply(sk_c7,sk_c4)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f844,f579]) ).

fof(f844,plain,
    ( sk_c5 = multiply(sk_c5,sk_c6)
    | sk_c6 = multiply(sk_c7,sk_c4)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f843,f388]) ).

fof(f843,plain,
    ( sk_c5 = multiply(sk_c2,sk_c6)
    | sk_c6 = multiply(sk_c7,sk_c4)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f19,f183]) ).

fof(f728,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f727]) ).

fof(f727,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_9 ),
    inference(subsumption_resolution,[],[f726,f694]) ).

fof(f726,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | spl0_9 ),
    inference(forward_demodulation,[],[f725,f584]) ).

fof(f725,plain,
    ( multiply(sk_c6,sk_c5) = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | spl0_9 ),
    inference(subsumption_resolution,[],[f724,f694]) ).

fof(f696,plain,
    ( spl0_8
    | spl0_9
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f657,f35,f693,f689]) ).

fof(f567,plain,
    ( spl0_2
    | spl0_6 ),
    inference(avatar_contradiction_clause,[],[f566]) ).

fof(f566,plain,
    ( $false
    | spl0_2
    | spl0_6 ),
    inference(global_subsumption,[],[f15,f29,f1,f2,f12,f3,f8,f7,f5,f4,f26,f25,f23,f22,f21,f18,f9,f6,f24,f27,f177,f188,f51,f292,f289,f348,f341,f354,f366,f298,f376,f377,f379,f380,f373,f411,f395,f417,f387,f444,f445,f372,f462,f494,f472,f374,f512,f521,f513,f508,f463,f458,f551,f397,f552,f389,f356,f353,f301,f288,f20,f555,f19,f556,f17,f557,f16,f558,f195,f190,f559,f560,f14,f561,f13,f562,f11,f563,f10,f564,f565,f36]) ).

fof(f549,plain,
    ( spl0_3
    | spl0_3
    | spl0_7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f434,f176,f172,f35,f31,f547,f147,f147]) ).

fof(f179,plain,
    ( spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f27,f176,f172]) ).

fof(f152,plain,
    ( spl0_3
    | spl0_3
    | spl0_4
    | spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f129,f35,f31,f150,f147,f147]) ).

fof(f38,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f12,f35,f31]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : GRP363-1 : TPTP v8.1.2. Released v2.5.0.
% 0.06/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35  % Computer : n006.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Fri May  3 20:48:53 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  % (7274)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37  % (7277)WARNING: value z3 for option sas not known
% 0.15/0.37  % (7277)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)
% 0.15/0.37  % (7275)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.37  % (7276)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.37  % (7278)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.37  % (7280)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)
% 0.15/0.37  % (7281)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)
% 0.15/0.37  % (7279)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)
% 0.15/0.37  TRYING [1]
% 0.15/0.38  TRYING [2]
% 0.15/0.38  TRYING [1]
% 0.15/0.38  TRYING [2]
% 0.15/0.38  TRYING [3]
% 0.15/0.38  TRYING [3]
% 0.15/0.39  TRYING [4]
% 0.15/0.40  TRYING [4]
% 0.21/0.41  TRYING [5]
% 0.21/0.46  TRYING [6]
% 0.21/0.48  % (7277)First to succeed.
% 0.21/0.49  TRYING [5]
% 0.21/0.50  % (7277)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-7274"
% 0.21/0.50  % (7277)Refutation found. Thanks to Tanya!
% 0.21/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.51  % (7277)------------------------------
% 0.21/0.51  % (7277)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.51  % (7277)Termination reason: Refutation
% 0.21/0.51  
% 0.21/0.51  % (7277)Memory used [KB]: 2061
% 0.21/0.51  % (7277)Time elapsed: 0.135 s
% 0.21/0.51  % (7277)Instructions burned: 222 (million)
% 0.21/0.51  % (7274)Success in time 0.154 s
%------------------------------------------------------------------------------