%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GRP213-1 : TPTP v8.2.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n023.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 : Mon May 20 21:16:11 EDT 2024

% Result   : Unsatisfiable 0.20s 0.41s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   40
% Syntax   : Number of formulae    :  727 (  18 unt;   0 def)
%            Number of atoms       : 2647 ( 574 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 3447 (1527   ~;1908   |;   0   &)
%                                         (  12 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   5 avg)
%            Maximal term depth    :    6 (   1 avg)
%            Number of predicates  :   14 (  12 usr;  13 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   9 con; 0-2 aty)
%            Number of variables   :  131 ( 131   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1264,plain,
    $false,
    inference(avatar_sat_refutation,[],[f39,f100,f192,f196,f200,f205,f207,f226,f228,f231,f268,f371,f391,f491,f525,f604,f671,f673,f742,f747,f752,f755,f759,f765,f771,f782,f784,f788,f793,f798,f800,f805,f824,f828,f832,f834,f837,f842,f847,f879,f903,f915,f918,f921,f925,f928,f930,f932,f934,f936,f938,f940,f942,f944,f1063,f1066,f1069,f1071,f1074,f1076,f1078,f1080,f1082,f1084,f1086,f1088,f1090,f1092,f1094,f1096,f1098,f1100,f1102,f1104,f1106,f1108,f1111,f1114,f1116,f1119,f1121,f1123,f1131,f1133,f1135,f1137,f1139,f1141,f1143,f1145,f1147,f1149,f1151,f1153,f1155,f1164,f1166,f1168,f1170,f1173,f1176,f1178,f1180,f1182,f1184,f1186,f1188,f1190,f1192,f1194,f1196,f1198,f1200,f1203,f1205,f1207,f1209,f1211,f1213,f1215,f1217,f1219,f1221,f1223,f1225,f1227,f1229,f1231,f1233,f1235,f1237,f1239,f1241,f1243,f1245,f1247,f1249,f1251,f1253,f1255,f1257,f1259,f1261,f1263]) ).

fof(f1263,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1262]) ).

fof(f1262,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_10 ),
    inference(global_subsumption,[],[f263,f1,f2,f10,f40,f42,f43,f44,f45,f46,f47,f3,f52,f53,f55,f62,f60,f66,f64,f70,f65,f71,f73,f76,f61,f77,f79,f78,f83,f82,f85,f86,f84,f63,f101,f103,f105,f107,f108,f109,f110,f117,f130,f135,f122,f140,f151,f167,f155,f20,f19,f26,f25,f14,f13,f9,f27,f15,f23,f21,f57,f618,f626,f616,f700,f691,f707,f723,f703,f688,f629,f624,f6,f7,f8,f30,f706,f709,f615,f24,f33,f41,f106,f154,f141,f127,f102,f72,f38,f389,f4,f22,f16,f18,f11,f12,f5,f17]) ).

fof(f17,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c8 = multiply(sk_c2,sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).

fof(f5,axiom,
    ( sk_c8 = inverse(sk_c4)
    | multiply(sk_c1,sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).

fof(f12,axiom,
    ( sk_c8 = inverse(sk_c1)
    | sk_c8 = multiply(sk_c4,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).

fof(f11,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).

fof(f18,axiom,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | sk_c8 = multiply(sk_c2,sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).

fof(f16,axiom,
    ( sk_c7 = inverse(sk_c8)
    | sk_c8 = multiply(sk_c2,sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).

fof(f22,axiom,
    ( sk_c3 = inverse(sk_c2)
    | sk_c7 = inverse(sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).

fof(f4,axiom,
    ( sk_c7 = inverse(sk_c8)
    | multiply(sk_c1,sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).

fof(f389,plain,
    ( identity != sk_c7
    | spl0_10 ),
    inference(avatar_component_clause,[],[f388]) ).

fof(f388,plain,
    ( spl0_10
  <=> identity = sk_c7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f38,plain,
    ( sk_c7 = inverse(sk_c8)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f36]) ).

fof(f36,plain,
    ( spl0_2
  <=> sk_c7 = inverse(sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f72,plain,
    ( sk_c4 = sk_c5
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f66,f64]) ).

fof(f102,plain,
    ( sk_c8 = sk_c7
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f101,f78]) ).

fof(f127,plain,
    ( identity = inverse(identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f126,f106]) ).

fof(f126,plain,
    ( sk_c8 = inverse(identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f115,f102]) ).

fof(f115,plain,
    ( sk_c7 = inverse(identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f38,f106]) ).

fof(f141,plain,
    ( identity = sk_c7
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f124,f1]) ).

fof(f124,plain,
    ( sk_c7 = multiply(identity,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f78,f106]) ).

fof(f154,plain,
    ( identity = sk_c4
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f146,f1]) ).

fof(f146,plain,
    ( sk_c4 = multiply(identity,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f64,f141]) ).

fof(f106,plain,
    ( identity = sk_c8
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f104,f40]) ).

fof(f104,plain,
    ( sk_c8 = multiply(sk_c7,sk_c8)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f60,f101]) ).

fof(f41,plain,
    ( sk_c8 = inverse(sk_c4)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f11,f33]) ).

fof(f33,plain,
    ( sk_c8 != inverse(sk_c1)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f32]) ).

fof(f32,plain,
    ( spl0_1
  <=> sk_c8 = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f24,axiom,
    ( sk_c3 = inverse(sk_c2)
    | sk_c8 = multiply(sk_c4,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).

fof(f615,plain,
    ! [X0] : multiply(inverse(identity),X0) = X0,
    inference(superposition,[],[f57,f1]) ).

fof(f709,plain,
    identity = inverse(identity),
    inference(superposition,[],[f616,f691]) ).

fof(f706,plain,
    identity = inverse(identity),
    inference(superposition,[],[f691,f616]) ).

fof(f30,plain,
    ! [X3,X8,X6,X4] :
      ( sk_c7 != inverse(sk_c8)
      | sk_c8 != inverse(X8)
      | sk_c8 != inverse(X3)
      | sk_c8 != inverse(X6)
      | sk_c7 != multiply(X3,sk_c8)
      | sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
      | sk_c8 != multiply(X6,sk_c7)
      | sk_c8 != multiply(X4,inverse(X4)) ),
    inference(equality_resolution,[],[f29]) ).

fof(f29,plain,
    ! [X3,X8,X6,X7,X4] :
      ( sk_c7 != inverse(sk_c8)
      | sk_c8 != inverse(X8)
      | sk_c8 != inverse(X3)
      | sk_c8 != inverse(X6)
      | sk_c7 != multiply(X3,sk_c8)
      | sk_c7 != multiply(sk_c8,X7)
      | sk_c8 != multiply(X6,sk_c7)
      | sk_c8 != multiply(X4,inverse(X4))
      | multiply(X8,sk_c8) != X7 ),
    inference(equality_resolution,[],[f28]) ).

fof(f28,axiom,
    ! [X3,X8,X6,X7,X4,X5] :
      ( sk_c7 != inverse(sk_c8)
      | sk_c8 != inverse(X8)
      | sk_c8 != inverse(X3)
      | sk_c8 != inverse(X6)
      | inverse(X4) != X5
      | sk_c7 != multiply(X3,sk_c8)
      | sk_c7 != multiply(sk_c8,X7)
      | sk_c8 != multiply(X6,sk_c7)
      | sk_c8 != multiply(X4,X5)
      | multiply(X8,sk_c8) != X7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).

fof(f8,axiom,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | multiply(sk_c1,sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).

fof(f7,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c6)
    | multiply(sk_c1,sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).

fof(f6,axiom,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | multiply(sk_c1,sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).

fof(f624,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(sk_c7),X0)
    | ~ spl0_2 ),
    inference(superposition,[],[f57,f60]) ).

fof(f629,plain,
    ( sk_c8 = multiply(inverse(sk_c7),identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f57,f40]) ).

fof(f688,plain,
    ( sk_c8 = multiply(inverse(sk_c7),identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f616,f38]) ).

fof(f703,plain,
    ( identity = multiply(inverse(inverse(sk_c7)),sk_c8)
    | ~ spl0_2 ),
    inference(superposition,[],[f691,f38]) ).

fof(f723,plain,
    ! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f708,f1]) ).

fof(f708,plain,
    ! [X0,X1] : multiply(identity,X1) = multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)),
    inference(superposition,[],[f3,f691]) ).

fof(f707,plain,
    ! [X0] : multiply(inverse(inverse(inverse(inverse(X0)))),identity) = X0,
    inference(superposition,[],[f57,f691]) ).

fof(f691,plain,
    ! [X0] : identity = multiply(inverse(inverse(inverse(X0))),X0),
    inference(superposition,[],[f57,f616]) ).

fof(f700,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
    inference(forward_demodulation,[],[f692,f1]) ).

fof(f692,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),multiply(identity,X1)),
    inference(superposition,[],[f3,f616]) ).

fof(f616,plain,
    ! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[],[f57,f2]) ).

fof(f626,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
    inference(superposition,[],[f57,f57]) ).

fof(f618,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
    inference(superposition,[],[f57,f3]) ).

fof(f57,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f49,f1]) ).

fof(f49,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[],[f3,f2]) ).

fof(f21,axiom,
    ( sk_c8 = inverse(sk_c5)
    | sk_c8 = multiply(sk_c2,sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).

fof(f23,axiom,
    ( sk_c3 = inverse(sk_c2)
    | sk_c8 = inverse(sk_c4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).

fof(f15,axiom,
    ( sk_c8 = inverse(sk_c5)
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).

fof(f27,axiom,
    ( sk_c3 = inverse(sk_c2)
    | sk_c8 = inverse(sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).

fof(f9,axiom,
    ( sk_c8 = inverse(sk_c5)
    | multiply(sk_c1,sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).

fof(f13,axiom,
    ( sk_c8 = inverse(sk_c1)
    | sk_c7 = multiply(sk_c8,sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).

fof(f14,axiom,
    ( sk_c8 = inverse(sk_c1)
    | sk_c6 = multiply(sk_c5,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).

fof(f25,axiom,
    ( sk_c3 = inverse(sk_c2)
    | sk_c7 = multiply(sk_c8,sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).

fof(f26,axiom,
    ( sk_c3 = inverse(sk_c2)
    | sk_c6 = multiply(sk_c5,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).

fof(f19,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c6)
    | sk_c8 = multiply(sk_c2,sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).

fof(f20,axiom,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | sk_c8 = multiply(sk_c2,sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).

fof(f155,plain,
    ( identity = sk_c6
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f147,f1]) ).

fof(f147,plain,
    ( sk_c6 = multiply(identity,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f65,f141]) ).

fof(f167,plain,
    ( identity = inverse(identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f161,f106]) ).

fof(f161,plain,
    ( sk_c8 = inverse(identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f41,f154]) ).

fof(f151,plain,
    ( identity = multiply(sk_c4,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f144,f106]) ).

fof(f144,plain,
    ( sk_c8 = multiply(sk_c4,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f45,f141]) ).

fof(f140,plain,
    ( identity = multiply(sk_c4,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f139,f106]) ).

fof(f139,plain,
    ( sk_c8 = multiply(sk_c4,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f123,f84]) ).

fof(f123,plain,
    ( sk_c6 = multiply(sk_c4,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f73,f106]) ).

fof(f122,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c4,X0)) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f61,f106]) ).

fof(f135,plain,
    ( identity = multiply(sk_c4,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f134,f106]) ).

fof(f134,plain,
    ( sk_c8 = multiply(sk_c4,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f133,f84]) ).

fof(f133,plain,
    ( sk_c6 = multiply(sk_c4,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f120,f72]) ).

fof(f120,plain,
    ( sk_c6 = multiply(sk_c5,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f47,f106]) ).

fof(f130,plain,
    ( identity = multiply(identity,sk_c4)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f118,f72]) ).

fof(f118,plain,
    ( identity = multiply(identity,sk_c5)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f44,f106]) ).

fof(f117,plain,
    ( identity = multiply(identity,sk_c4)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f42,f106]) ).

fof(f110,plain,
    ( sk_c4 = multiply(sk_c8,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f64,f102]) ).

fof(f109,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c8,X0)) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f60,f102]) ).

fof(f108,plain,
    ( sk_c8 = multiply(sk_c4,sk_c8)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f45,f102]) ).

fof(f107,plain,
    ( identity = multiply(sk_c8,sk_c8)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f40,f102]) ).

fof(f105,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c8,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f101]) ).

fof(f103,plain,
    ( sk_c8 = sk_c7
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f78,f101]) ).

fof(f101,plain,
    ( sk_c8 = multiply(sk_c8,sk_c8)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f77,f84]) ).

fof(f63,plain,
    ( ! [X3,X8,X6,X4] :
        ( sk_c8 != inverse(X8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X6)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
        | sk_c8 != multiply(X6,sk_c7)
        | sk_c8 != multiply(X4,inverse(X4)) )
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f30,f38]) ).

fof(f84,plain,
    ( sk_c8 = sk_c6
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f82,f65]) ).

fof(f86,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c7,multiply(sk_c7,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f82]) ).

fof(f85,plain,
    ( sk_c8 = sk_c6
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f65,f82]) ).

fof(f82,plain,
    ( sk_c8 = multiply(sk_c7,sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f60,f78]) ).

fof(f83,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c8,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f78]) ).

fof(f78,plain,
    ( sk_c7 = multiply(sk_c8,sk_c8)
    | spl0_1 ),
    inference(superposition,[],[f61,f45]) ).

fof(f79,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c4,X0)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f60,f61]) ).

fof(f77,plain,
    ( sk_c8 = multiply(sk_c8,sk_c6)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f61,f73]) ).

fof(f61,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c4,X0)) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f54,f1]) ).

fof(f54,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c4,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f42]) ).

fof(f76,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c4,multiply(sk_c8,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f73]) ).

fof(f73,plain,
    ( sk_c6 = multiply(sk_c4,sk_c8)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f47,f72]) ).

fof(f71,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c7,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f65]) ).

fof(f65,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f60,f46]) ).

fof(f70,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c4,X0)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f69,f1]) ).

fof(f69,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c7,multiply(identity,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f64]) ).

fof(f64,plain,
    ( sk_c4 = multiply(sk_c7,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f60,f42]) ).

fof(f66,plain,
    ( sk_c5 = multiply(sk_c7,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f60,f44]) ).

fof(f60,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f51,f1]) ).

fof(f51,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c8,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f40]) ).

fof(f62,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f56,f1]) ).

fof(f56,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c5,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f44]) ).

fof(f55,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c6,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f46]) ).

fof(f53,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c4,multiply(sk_c7,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f45]) ).

fof(f52,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c8,X0)) = multiply(sk_c6,X0)
    | spl0_1 ),
    inference(superposition,[],[f3,f47]) ).

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

fof(f47,plain,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f14,f33]) ).

fof(f46,plain,
    ( sk_c7 = multiply(sk_c8,sk_c6)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f13,f33]) ).

fof(f45,plain,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f12,f33]) ).

fof(f44,plain,
    ( identity = multiply(sk_c8,sk_c5)
    | spl0_1 ),
    inference(superposition,[],[f2,f43]) ).

fof(f43,plain,
    ( sk_c8 = inverse(sk_c5)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f15,f33]) ).

fof(f42,plain,
    ( identity = multiply(sk_c8,sk_c4)
    | spl0_1 ),
    inference(superposition,[],[f2,f41]) ).

fof(f40,plain,
    ( identity = multiply(sk_c7,sk_c8)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f38]) ).

fof(f10,axiom,
    ( sk_c7 = inverse(sk_c8)
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).

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

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

fof(f263,plain,
    ( sk_c8 = inverse(sk_c4)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f261]) ).

fof(f261,plain,
    ( spl0_7
  <=> sk_c8 = inverse(sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f1261,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1260]) ).

fof(f1260,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f10,f40,f42,f43,f44,f45,f46,f47,f3,f52,f53,f55,f62,f60,f66,f64,f70,f65,f71,f73,f76,f61,f77,f79,f78,f83,f82,f85,f86,f84,f63,f101,f103,f105,f107,f108,f109,f110,f117,f130,f135,f122,f140,f151,f167,f155,f20,f19,f26,f25,f14,f13,f9,f27,f15,f23,f21,f57,f618,f626,f616,f700,f691,f707,f723,f703,f688,f629,f624,f6,f7,f8,f30,f706,f709,f615,f24,f33,f41,f106,f154,f141,f127,f102,f72,f38,f389,f4,f22,f16,f18,f11,f12,f5,f17]) ).

fof(f1259,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1258]) ).

fof(f1258,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f10,f40,f42,f43,f44,f45,f46,f47,f3,f52,f53,f55,f62,f60,f66,f64,f70,f65,f71,f73,f76,f61,f77,f79,f78,f83,f82,f85,f86,f84,f63,f101,f103,f105,f107,f108,f109,f110,f117,f130,f135,f122,f140,f151,f167,f155,f20,f19,f26,f25,f14,f13,f9,f27,f15,f23,f21,f57,f618,f626,f616,f700,f691,f707,f723,f703,f688,f629,f624,f6,f7,f8,f30,f706,f709,f615,f24,f17,f33,f41,f106,f154,f141,f127,f102,f72,f38,f389,f4,f22,f16,f18,f11,f12,f5]) ).

fof(f1257,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1256]) ).

fof(f1256,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1171,f1,f2,f10,f40,f42,f43,f44,f45,f46,f47,f3,f52,f53,f55,f62,f60,f66,f64,f70,f65,f71,f73,f76,f61,f77,f79,f78,f83,f82,f85,f86,f84,f63,f101,f103,f105,f107,f108,f109,f110,f117,f130,f135,f122,f140,f151,f167,f155,f20,f19,f26,f25,f14,f13,f9,f27,f15,f23,f21,f57,f618,f626,f616,f700,f691,f707,f723,f703,f688,f629,f624,f6,f7,f8,f30,f706,f709,f615,f24,f17,f5,f33,f41,f106,f154,f141,f127,f102,f72,f38,f389,f4,f22,f16,f18,f11,f12]) ).

fof(f1171,plain,
    ( identity = multiply(sk_c5,sk_c8)
    | sk_c8 = inverse(sk_c1)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f14,f599]) ).

fof(f599,plain,
    ( identity = sk_c6
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f597]) ).

fof(f597,plain,
    ( spl0_11
  <=> identity = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f1255,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1254]) ).

fof(f1254,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1174,f1,f2,f10,f40,f42,f43,f44,f45,f46,f47,f3,f52,f53,f55,f62,f60,f66,f64,f70,f65,f71,f73,f76,f61,f77,f79,f78,f83,f82,f85,f86,f84,f63,f101,f103,f105,f107,f108,f109,f110,f117,f130,f135,f122,f140,f151,f167,f155,f20,f19,f26,f25,f14,f13,f9,f27,f15,f23,f21,f57,f618,f626,f616,f700,f691,f707,f723,f703,f688,f629,f624,f6,f7,f8,f30,f706,f709,f615,f24,f17,f5,f33,f41,f106,f154,f141,f127,f102,f72,f38,f389,f4,f22,f16,f18,f11,f12]) ).

fof(f1174,plain,
    ( sk_c7 = multiply(sk_c8,identity)
    | sk_c8 = inverse(sk_c1)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f13,f599]) ).

fof(f1253,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1252]) ).

fof(f1252,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f10,f40,f42,f43,f44,f45,f46,f47,f3,f52,f53,f55,f62,f60,f66,f64,f70,f65,f71,f73,f76,f61,f77,f79,f78,f83,f82,f85,f86,f84,f63,f101,f103,f105,f107,f108,f109,f110,f117,f130,f135,f122,f140,f151,f167,f155,f20,f19,f26,f25,f14,f13,f9,f27,f15,f23,f21,f57,f618,f626,f616,f700,f691,f707,f723,f703,f688,f629,f624,f6,f7,f8,f30,f706,f709,f615,f24,f17,f5,f33,f41,f106,f154,f141,f127,f102,f72,f38,f389,f4,f22,f16,f18,f11,f12]) ).

fof(f1251,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1250]) ).

fof(f1250,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f10,f40,f42,f43,f44,f45,f46,f47,f3,f52,f53,f55,f62,f60,f66,f64,f70,f65,f71,f73,f76,f61,f77,f79,f78,f83,f82,f85,f86,f84,f63,f101,f103,f105,f107,f108,f109,f110,f117,f130,f135,f122,f140,f151,f167,f155,f20,f19,f26,f25,f14,f13,f9,f27,f15,f23,f21,f57,f618,f626,f616,f700,f691,f707,f723,f703,f688,f629,f624,f6,f7,f8,f30,f706,f709,f615,f24,f17,f5,f12,f33,f41,f106,f154,f141,f127,f102,f72,f38,f389,f4,f22,f16,f18,f11]) ).

fof(f1249,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1248]) ).

fof(f1248,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1112,f1,f2,f10,f40,f42,f43,f44,f45,f46,f47,f3,f52,f53,f55,f62,f60,f66,f64,f70,f65,f71,f73,f76,f61,f77,f79,f78,f83,f82,f85,f86,f84,f63,f101,f103,f105,f107,f108,f109,f110,f117,f130,f135,f122,f140,f151,f167,f155,f20,f19,f26,f25,f14,f13,f9,f27,f15,f23,f21,f57,f618,f626,f616,f700,f691,f707,f723,f703,f688,f629,f624,f6,f7,f8,f30,f706,f709,f615,f24,f17,f5,f12,f11,f33,f41,f106,f154,f141,f127,f102,f72,f38,f389,f4,f22,f16,f18]) ).

fof(f1112,plain,
    ( identity = multiply(sk_c5,sk_c8)
    | sk_c8 = multiply(sk_c2,sk_c3)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f20,f599]) ).

fof(f1247,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1246]) ).

fof(f1246,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f10,f40,f42,f43,f44,f45,f46,f47,f3,f52,f53,f55,f62,f60,f66,f64,f70,f65,f71,f73,f76,f61,f77,f79,f78,f83,f82,f85,f86,f84,f63,f101,f103,f105,f107,f108,f109,f110,f117,f130,f135,f122,f140,f151,f167,f155,f20,f19,f26,f25,f14,f13,f9,f27,f15,f23,f21,f57,f618,f626,f616,f700,f691,f707,f723,f703,f688,f629,f624,f6,f7,f8,f30,f706,f709,f615,f24,f17,f5,f12,f11,f33,f41,f106,f154,f141,f127,f102,f72,f38,f389,f4,f22,f16,f18]) ).

fof(f1245,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1244]) ).

fof(f1244,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1117,f1,f2,f10,f40,f42,f43,f44,f45,f46,f47,f3,f52,f53,f55,f62,f60,f66,f64,f70,f65,f71,f73,f76,f61,f77,f79,f78,f83,f82,f85,f86,f84,f63,f101,f103,f105,f107,f108,f109,f110,f117,f130,f135,f122,f140,f151,f167,f155,f20,f19,f26,f25,f14,f13,f9,f27,f15,f23,f21,f57,f618,f626,f616,f700,f691,f707,f723,f703,f688,f629,f624,f6,f7,f8,f30,f706,f709,f615,f24,f17,f5,f12,f11,f18,f33,f41,f106,f154,f141,f127,f102,f72,f38,f389,f4,f22,f16]) ).

fof(f1117,plain,
    ( sk_c7 = multiply(sk_c8,identity)
    | sk_c8 = multiply(sk_c2,sk_c3)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f19,f599]) ).

fof(f1243,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1242]) ).

fof(f1242,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f10,f40,f42,f43,f44,f45,f46,f47,f3,f52,f53,f55,f62,f60,f66,f64,f70,f65,f71,f73,f76,f61,f77,f79,f78,f83,f82,f85,f86,f84,f63,f101,f103,f105,f107,f108,f109,f110,f117,f130,f135,f122,f140,f151,f167,f155,f20,f19,f26,f25,f14,f13,f9,f27,f15,f23,f21,f57,f618,f626,f616,f700,f691,f707,f723,f703,f688,f629,f624,f6,f7,f8,f30,f706,f709,f615,f24,f17,f5,f12,f11,f18,f33,f41,f106,f154,f141,f127,f102,f72,f38,f389,f4,f22,f16]) ).

fof(f1241,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1240]) ).

fof(f1240,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f10,f40,f42,f43,f44,f45,f46,f47,f3,f52,f53,f55,f62,f60,f66,f64,f70,f65,f71,f73,f76,f61,f77,f79,f78,f83,f82,f85,f86,f84,f63,f101,f103,f105,f107,f108,f109,f110,f117,f130,f135,f122,f140,f151,f167,f155,f20,f19,f26,f25,f14,f13,f9,f27,f15,f23,f21,f57,f618,f626,f616,f700,f691,f707,f723,f703,f688,f629,f624,f6,f7,f8,f30,f706,f709,f615,f24,f17,f5,f12,f11,f18,f16,f33,f41,f106,f154,f141,f127,f102,f72,f38,f389,f4,f22]) ).

fof(f1239,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1238]) ).

fof(f1238,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f10,f40,f42,f43,f44,f45,f46,f47,f3,f52,f53,f55,f62,f60,f66,f64,f70,f65,f71,f73,f76,f61,f77,f79,f78,f83,f82,f85,f86,f84,f63,f101,f103,f105,f107,f108,f109,f110,f117,f130,f135,f122,f140,f151,f167,f155,f20,f19,f26,f25,f14,f13,f9,f27,f15,f23,f21,f57,f618,f626,f616,f700,f691,f707,f723,f703,f688,f629,f624,f6,f7,f8,f30,f706,f709,f615,f24,f17,f5,f12,f11,f18,f16,f22,f33,f41,f106,f154,f141,f127,f102,f72,f38,f389,f4]) ).

fof(f1237,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1236]) ).

fof(f1236,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f10,f40,f42,f43,f44,f45,f46,f47,f3,f52,f53,f55,f62,f60,f66,f64,f70,f65,f71,f73,f76,f61,f77,f79,f78,f83,f82,f85,f86,f84,f63,f101,f103,f105,f107,f108,f109,f110,f117,f130,f135,f122,f140,f151,f167,f155,f20,f19,f26,f25,f14,f13,f9,f27,f15,f23,f21,f57,f618,f626,f616,f700,f691,f707,f723,f703,f688,f629,f624,f6,f7,f8,f30,f706,f709,f615,f24,f17,f5,f12,f11,f18,f16,f22,f4,f33,f41,f106,f154,f141,f127,f102,f72,f38,f389]) ).

fof(f1235,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1234]) ).

fof(f1234,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f10,f40,f42,f43,f44,f45,f46,f47,f3,f52,f53,f55,f62,f60,f66,f64,f70,f65,f71,f73,f76,f61,f77,f79,f78,f83,f82,f85,f86,f84,f63,f101,f103,f105,f107,f108,f109,f110,f117,f130,f135,f122,f140,f151,f167,f155,f20,f19,f26,f25,f14,f13,f9,f27,f15,f23,f21,f57,f618,f626,f616,f700,f691,f707,f723,f703,f688,f629,f624,f6,f7,f8,f30,f706,f709,f615,f24,f17,f5,f12,f11,f18,f16,f22,f4,f389,f33,f41,f106,f154,f141,f127,f102,f72,f38]) ).

fof(f1233,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1232]) ).

fof(f1232,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f10,f40,f42,f43,f44,f45,f46,f47,f3,f52,f53,f55,f62,f60,f66,f64,f70,f65,f71,f73,f76,f61,f77,f79,f78,f83,f82,f85,f86,f84,f63,f101,f103,f105,f107,f108,f109,f110,f117,f130,f135,f122,f140,f151,f167,f155,f20,f19,f26,f25,f14,f13,f9,f27,f15,f23,f21,f57,f618,f626,f616,f700,f691,f707,f723,f703,f688,f629,f624,f6,f7,f8,f30,f706,f709,f615,f24,f17,f5,f12,f11,f18,f16,f22,f4,f389,f38,f33,f41,f106,f154,f141,f127,f102,f72]) ).

fof(f1231,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1230]) ).

fof(f1230,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f10,f40,f42,f43,f44,f45,f46,f47,f3,f52,f53,f55,f62,f60,f66,f64,f70,f65,f71,f73,f76,f61,f77,f79,f78,f83,f82,f85,f86,f84,f63,f101,f103,f105,f107,f108,f109,f110,f117,f130,f135,f122,f140,f151,f167,f155,f20,f19,f26,f25,f14,f13,f9,f27,f15,f23,f21,f57,f618,f626,f616,f700,f691,f707,f723,f703,f688,f629,f624,f6,f7,f8,f30,f706,f709,f615,f24,f17,f5,f12,f11,f18,f16,f22,f4,f389,f38,f72,f33,f41,f106,f154,f141,f127,f102]) ).

fof(f1229,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1228]) ).

fof(f1228,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1201,f1,f2,f10,f40,f42,f43,f44,f45,f46,f47,f3,f52,f53,f55,f62,f60,f66,f64,f70,f65,f71,f73,f76,f61,f77,f79,f78,f83,f82,f85,f86,f84,f63,f101,f103,f105,f107,f108,f109,f110,f117,f130,f135,f122,f140,f151,f167,f155,f20,f19,f26,f25,f14,f13,f9,f27,f15,f23,f21,f57,f618,f626,f616,f700,f691,f707,f723,f703,f688,f629,f624,f6,f7,f8,f30,f706,f709,f615,f24,f17,f5,f12,f11,f18,f16,f22,f4,f389,f38,f72,f102,f33,f41,f106,f154,f141,f127]) ).

fof(f1201,plain,
    ( identity = sk_c8
    | spl0_1
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f84,f599]) ).

fof(f1227,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1226]) ).

fof(f1226,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f10,f40,f42,f43,f44,f45,f46,f47,f3,f52,f53,f55,f62,f60,f66,f64,f70,f65,f71,f73,f76,f61,f77,f79,f78,f83,f82,f85,f86,f84,f63,f101,f103,f105,f107,f108,f109,f110,f117,f130,f135,f122,f140,f151,f167,f155,f20,f19,f26,f25,f14,f13,f9,f27,f15,f23,f21,f57,f618,f626,f616,f700,f691,f707,f723,f703,f688,f629,f624,f6,f7,f8,f30,f706,f709,f615,f24,f17,f5,f12,f11,f18,f16,f22,f4,f389,f38,f72,f102,f33,f41,f106,f154,f141,f127]) ).

fof(f1225,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1224]) ).

fof(f1224,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f10,f40,f42,f43,f44,f45,f46,f47,f3,f52,f53,f55,f62,f60,f66,f64,f70,f65,f71,f73,f76,f61,f77,f79,f78,f83,f82,f85,f86,f84,f63,f101,f103,f105,f107,f108,f109,f110,f117,f130,f135,f122,f140,f151,f167,f155,f20,f19,f26,f25,f14,f13,f9,f27,f15,f23,f21,f57,f618,f626,f616,f700,f691,f707,f723,f703,f688,f629,f624,f6,f7,f8,f30,f706,f709,f615,f24,f17,f5,f12,f11,f18,f16,f22,f4,f389,f38,f72,f102,f127,f33,f41,f106,f154,f141]) ).

fof(f1223,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1222]) ).

fof(f1222,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f10,f40,f42,f43,f44,f45,f46,f47,f3,f52,f53,f55,f62,f60,f66,f64,f70,f65,f71,f73,f76,f61,f77,f79,f78,f83,f82,f85,f86,f84,f63,f101,f103,f105,f107,f108,f109,f110,f117,f130,f135,f122,f140,f151,f167,f155,f20,f19,f26,f25,f14,f13,f9,f27,f15,f23,f21,f57,f618,f626,f616,f700,f691,f707,f723,f703,f688,f629,f624,f6,f7,f8,f30,f706,f709,f615,f24,f17,f5,f12,f11,f18,f16,f22,f4,f389,f38,f72,f102,f127,f141,f33,f41,f106,f154]) ).

fof(f1221,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1220]) ).

fof(f1220,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f10,f40,f42,f43,f44,f45,f46,f47,f3,f52,f53,f55,f62,f60,f66,f64,f70,f65,f71,f73,f76,f61,f77,f79,f78,f83,f82,f85,f86,f84,f63,f101,f103,f105,f107,f108,f109,f110,f117,f130,f135,f122,f140,f151,f167,f155,f20,f19,f26,f25,f14,f13,f9,f27,f15,f23,f21,f57,f618,f626,f616,f700,f691,f707,f723,f703,f688,f629,f624,f6,f7,f8,f30,f706,f709,f615,f24,f17,f5,f12,f11,f18,f16,f22,f4,f389,f38,f72,f102,f127,f141,f154,f33,f41,f106]) ).

fof(f1219,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1218]) ).

fof(f1218,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f10,f40,f42,f43,f44,f45,f46,f47,f3,f52,f53,f55,f62,f60,f66,f64,f70,f65,f71,f73,f76,f61,f77,f79,f78,f83,f82,f85,f86,f84,f63,f101,f103,f105,f107,f108,f109,f110,f117,f130,f135,f122,f140,f151,f167,f155,f20,f19,f26,f25,f14,f13,f9,f27,f15,f23,f21,f57,f618,f626,f616,f700,f691,f707,f723,f703,f688,f629,f624,f6,f7,f8,f30,f706,f709,f615,f24,f17,f5,f12,f11,f18,f16,f22,f4,f389,f38,f72,f102,f127,f141,f154,f106,f33,f41]) ).

fof(f1217,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1216]) ).

fof(f1216,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f10,f40,f42,f43,f44,f45,f46,f47,f3,f52,f53,f55,f62,f60,f66,f64,f70,f65,f71,f73,f76,f61,f77,f79,f78,f83,f82,f85,f86,f84,f63,f101,f103,f105,f107,f108,f109,f110,f117,f130,f135,f122,f140,f151,f167,f155,f20,f19,f26,f25,f14,f13,f9,f27,f15,f23,f21,f57,f618,f626,f616,f700,f691,f707,f723,f703,f688,f629,f624,f6,f7,f8,f30,f706,f709,f615,f24,f17,f5,f12,f11,f18,f16,f22,f4,f389,f38,f72,f102,f127,f141,f154,f106,f41,f33]) ).

fof(f1215,plain,
    ( spl0_1
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1214]) ).

fof(f1214,plain,
    ( $false
    | spl0_1
    | spl0_7 ),
    inference(global_subsumption,[],[f1,f2,f10,f42,f43,f44,f45,f46,f47,f3,f52,f53,f55,f62,f61,f78,f83,f20,f19,f26,f25,f14,f13,f9,f27,f15,f23,f21,f57,f618,f626,f616,f700,f691,f707,f723,f6,f7,f8,f30,f706,f709,f615,f24,f17,f1156,f5,f1157,f262,f12,f11,f18,f16,f22,f4,f41,f33]) ).

fof(f262,plain,
    ( sk_c8 != inverse(sk_c4)
    | spl0_7 ),
    inference(avatar_component_clause,[],[f261]) ).

fof(f1157,plain,
    ( multiply(sk_c1,sk_c8) = sk_c7
    | spl0_7 ),
    inference(global_subsumption,[],[f22,f16,f1,f2,f10,f3,f20,f19,f26,f25,f14,f13,f12,f9,f27,f15,f11,f23,f21,f57,f618,f626,f616,f700,f691,f707,f723,f262,f6,f7,f8,f30,f4,f18,f706,f709,f615,f24,f17,f1156,f5]) ).

fof(f1156,plain,
    ( sk_c8 = multiply(sk_c2,sk_c3)
    | spl0_7 ),
    inference(global_subsumption,[],[f22,f16,f1,f2,f10,f3,f20,f19,f26,f25,f14,f13,f12,f9,f27,f15,f11,f23,f21,f57,f618,f626,f616,f700,f691,f707,f723,f262,f6,f7,f8,f5,f30,f4,f18,f706,f709,f615,f24,f17]) ).

fof(f1213,plain,
    ( spl0_1
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1212]) ).

fof(f1212,plain,
    ( $false
    | spl0_1
    | spl0_7 ),
    inference(global_subsumption,[],[f1,f2,f10,f33,f42,f43,f44,f45,f46,f47,f3,f52,f53,f55,f62,f61,f78,f83,f20,f19,f26,f25,f14,f13,f9,f27,f15,f23,f21,f57,f618,f626,f616,f700,f691,f707,f723,f6,f7,f8,f30,f706,f709,f615,f24,f17,f1156,f5,f1157,f262,f12,f11,f18,f16,f22,f4,f41]) ).

fof(f1211,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1210]) ).

fof(f1210,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(global_subsumption,[],[f106,f1,f2,f10,f33,f41,f42,f43,f44,f45,f46,f47,f3,f52,f53,f55,f62,f61,f78,f83,f20,f19,f26,f25,f14,f13,f9,f27,f15,f23,f21,f57,f618,f626,f616,f700,f691,f707,f723,f6,f7,f8,f30,f706,f709,f615,f24,f17,f1156,f5,f1157,f262,f12,f11,f18,f16,f22,f4]) ).

fof(f1209,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1208]) ).

fof(f1208,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(global_subsumption,[],[f154,f1,f2,f10,f33,f41,f42,f43,f44,f45,f46,f47,f3,f52,f53,f55,f62,f61,f78,f83,f20,f19,f26,f25,f14,f13,f9,f27,f15,f23,f21,f57,f618,f626,f616,f700,f691,f707,f723,f6,f7,f8,f30,f706,f709,f615,f24,f17,f1156,f5,f1157,f262,f12,f11,f18,f16,f22,f4]) ).

fof(f1207,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1206]) ).

fof(f1206,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(global_subsumption,[],[f141,f1,f2,f10,f33,f41,f42,f43,f44,f45,f46,f47,f3,f52,f53,f55,f62,f61,f78,f83,f20,f19,f26,f25,f14,f13,f9,f27,f15,f23,f21,f57,f618,f626,f616,f700,f691,f707,f723,f6,f7,f8,f30,f706,f709,f615,f24,f17,f1156,f5,f1157,f262,f12,f11,f18,f16,f22,f4]) ).

fof(f1205,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1204]) ).

fof(f1204,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(global_subsumption,[],[f127,f1,f2,f10,f33,f41,f42,f43,f44,f45,f46,f47,f3,f52,f53,f55,f62,f61,f78,f83,f20,f19,f26,f25,f14,f13,f9,f27,f15,f23,f21,f57,f618,f626,f616,f700,f691,f707,f723,f6,f7,f8,f30,f706,f709,f615,f24,f17,f1156,f5,f1157,f262,f12,f11,f18,f16,f22,f4]) ).

fof(f1203,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_7
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1202]) ).

fof(f1202,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_7
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1201,f1,f2,f10,f33,f41,f42,f43,f44,f45,f46,f47,f3,f52,f53,f55,f62,f61,f78,f83,f20,f19,f26,f25,f14,f13,f9,f27,f15,f23,f21,f57,f618,f626,f616,f700,f691,f707,f723,f6,f7,f8,f30,f706,f709,f615,f24,f17,f1156,f5,f1157,f262,f12,f11,f18,f16,f22,f4]) ).

fof(f1200,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1199]) ).

fof(f1199,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(global_subsumption,[],[f102,f1,f2,f10,f33,f41,f42,f43,f44,f45,f46,f47,f3,f52,f53,f55,f62,f61,f78,f83,f20,f19,f26,f25,f14,f13,f9,f27,f15,f23,f21,f57,f618,f626,f616,f700,f691,f707,f723,f6,f7,f8,f30,f706,f709,f615,f24,f17,f1156,f5,f1157,f262,f12,f11,f18,f16,f22,f4]) ).

fof(f1198,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1197]) ).

fof(f1197,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(global_subsumption,[],[f72,f1,f2,f10,f33,f41,f42,f43,f44,f45,f46,f47,f3,f52,f53,f55,f62,f61,f78,f83,f20,f19,f26,f25,f14,f13,f9,f27,f15,f23,f21,f57,f618,f626,f616,f700,f691,f707,f723,f6,f7,f8,f30,f706,f709,f615,f24,f17,f1156,f5,f1157,f262,f12,f11,f18,f16,f22,f4]) ).

fof(f1196,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1195]) ).

fof(f1195,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(global_subsumption,[],[f38,f1,f2,f10,f33,f41,f42,f43,f44,f45,f46,f47,f3,f52,f53,f55,f62,f61,f78,f83,f20,f19,f26,f25,f14,f13,f9,f27,f15,f23,f21,f57,f618,f626,f616,f700,f691,f707,f723,f6,f7,f8,f30,f706,f709,f615,f24,f17,f1156,f5,f1157,f262,f12,f11,f18,f16,f22,f4]) ).

fof(f1194,plain,
    ( spl0_1
    | spl0_7
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1193]) ).

fof(f1193,plain,
    ( $false
    | spl0_1
    | spl0_7
    | spl0_10 ),
    inference(global_subsumption,[],[f389,f1,f2,f10,f33,f41,f42,f43,f44,f45,f46,f47,f3,f52,f53,f55,f62,f61,f78,f83,f20,f19,f26,f25,f14,f13,f9,f27,f15,f23,f21,f57,f618,f626,f616,f700,f691,f707,f723,f6,f7,f8,f30,f706,f709,f615,f24,f17,f1156,f5,f1157,f262,f12,f11,f18,f16,f22,f4]) ).

fof(f1192,plain,
    ( spl0_1
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1191]) ).

fof(f1191,plain,
    ( $false
    | spl0_1
    | spl0_7 ),
    inference(global_subsumption,[],[f1,f2,f10,f33,f41,f42,f43,f44,f45,f46,f47,f3,f52,f53,f55,f62,f61,f78,f83,f20,f19,f26,f25,f14,f13,f9,f27,f15,f23,f21,f57,f618,f626,f616,f700,f691,f707,f723,f6,f7,f8,f30,f706,f709,f615,f24,f17,f1156,f5,f1157,f262,f12,f11,f18,f16,f22,f4]) ).

fof(f1190,plain,
    ( spl0_1
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1189]) ).

fof(f1189,plain,
    ( $false
    | spl0_1
    | spl0_7 ),
    inference(global_subsumption,[],[f1,f2,f10,f33,f41,f42,f43,f44,f45,f46,f47,f3,f52,f53,f55,f62,f61,f78,f83,f20,f19,f26,f25,f14,f13,f9,f27,f15,f23,f21,f57,f618,f626,f616,f700,f691,f707,f723,f6,f7,f8,f30,f4,f706,f709,f615,f24,f17,f1156,f5,f1157,f262,f12,f11,f18,f16,f22]) ).

fof(f1188,plain,
    ( spl0_1
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1187]) ).

fof(f1187,plain,
    ( $false
    | spl0_1
    | spl0_7 ),
    inference(global_subsumption,[],[f22,f1,f2,f10,f33,f41,f42,f43,f44,f45,f46,f47,f3,f52,f53,f55,f62,f61,f78,f83,f20,f19,f26,f25,f14,f13,f9,f27,f15,f23,f21,f57,f618,f626,f616,f700,f691,f707,f723,f6,f7,f8,f30,f4,f706,f709,f615,f24,f17,f1156,f5,f1157,f262,f12,f11,f18,f16]) ).

fof(f1186,plain,
    ( spl0_1
    | spl0_7
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1185]) ).

fof(f1185,plain,
    ( $false
    | spl0_1
    | spl0_7
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1117,f22,f16,f1,f2,f10,f33,f41,f42,f43,f44,f45,f46,f47,f3,f52,f53,f55,f62,f61,f78,f83,f20,f19,f26,f25,f14,f13,f9,f27,f15,f23,f21,f57,f618,f626,f616,f700,f691,f707,f723,f6,f7,f8,f30,f4,f706,f709,f615,f24,f17,f1156,f5,f1157,f262,f12,f11,f18]) ).

fof(f1184,plain,
    ( spl0_1
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1183]) ).

fof(f1183,plain,
    ( $false
    | spl0_1
    | spl0_7 ),
    inference(global_subsumption,[],[f22,f16,f1,f2,f10,f33,f41,f42,f43,f44,f45,f46,f47,f3,f52,f53,f55,f62,f61,f78,f83,f20,f19,f26,f25,f14,f13,f9,f27,f15,f23,f21,f57,f618,f626,f616,f700,f691,f707,f723,f6,f7,f8,f30,f4,f706,f709,f615,f24,f17,f1156,f5,f1157,f262,f12,f11,f18]) ).

fof(f1182,plain,
    ( spl0_1
    | spl0_7
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1181]) ).

fof(f1181,plain,
    ( $false
    | spl0_1
    | spl0_7
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1112,f22,f16,f1,f2,f10,f33,f41,f42,f43,f44,f45,f46,f47,f3,f52,f53,f55,f62,f61,f78,f83,f20,f19,f26,f25,f14,f13,f9,f27,f15,f23,f21,f57,f618,f626,f616,f700,f691,f707,f723,f6,f7,f8,f30,f4,f18,f706,f709,f615,f24,f17,f1156,f5,f1157,f262,f12,f11]) ).

fof(f1180,plain,
    ( spl0_1
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1179]) ).

fof(f1179,plain,
    ( $false
    | spl0_1
    | spl0_7 ),
    inference(global_subsumption,[],[f22,f16,f1,f2,f10,f33,f41,f42,f43,f44,f45,f46,f47,f3,f52,f53,f55,f62,f61,f78,f83,f20,f19,f26,f25,f14,f13,f9,f27,f15,f23,f21,f57,f618,f626,f616,f700,f691,f707,f723,f6,f7,f8,f30,f4,f18,f706,f709,f615,f24,f17,f1156,f5,f1157,f262,f12,f11]) ).

fof(f1178,plain,
    ( spl0_1
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1177]) ).

fof(f1177,plain,
    ( $false
    | spl0_1
    | spl0_7 ),
    inference(global_subsumption,[],[f22,f16,f1,f2,f10,f33,f41,f42,f43,f44,f45,f46,f47,f3,f52,f53,f55,f62,f61,f78,f83,f20,f19,f26,f25,f14,f13,f9,f27,f15,f11,f23,f21,f57,f618,f626,f616,f700,f691,f707,f723,f6,f7,f8,f30,f4,f18,f706,f709,f615,f24,f17,f1156,f5,f1157,f262,f12]) ).

fof(f1176,plain,
    ( spl0_1
    | spl0_7
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1175]) ).

fof(f1175,plain,
    ( $false
    | spl0_1
    | spl0_7
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1174,f22,f16,f1,f2,f10,f33,f41,f42,f43,f44,f45,f46,f47,f3,f52,f53,f55,f62,f61,f78,f83,f20,f19,f26,f25,f14,f13,f12,f9,f27,f15,f11,f23,f21,f57,f618,f626,f616,f700,f691,f707,f723,f6,f7,f8,f30,f4,f18,f706,f709,f615,f24,f17,f1156,f5,f1157,f262]) ).

fof(f1173,plain,
    ( spl0_1
    | spl0_7
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1172]) ).

fof(f1172,plain,
    ( $false
    | spl0_1
    | spl0_7
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1171,f22,f16,f1,f2,f10,f33,f41,f42,f43,f44,f45,f46,f47,f3,f52,f53,f55,f62,f61,f78,f83,f20,f19,f26,f25,f14,f13,f12,f9,f27,f15,f11,f23,f21,f57,f618,f626,f616,f700,f691,f707,f723,f6,f7,f8,f30,f4,f18,f706,f709,f615,f24,f17,f1156,f5,f1157,f262]) ).

fof(f1170,plain,
    ( spl0_2
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1169]) ).

fof(f1169,plain,
    ( $false
    | spl0_2
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1161,f22,f16,f1,f2,f10,f3,f20,f19,f26,f25,f14,f13,f12,f9,f27,f15,f11,f23,f21,f57,f618,f626,f616,f700,f691,f707,f723,f926,f6,f916,f909,f7,f8,f946,f30,f948,f4,f37,f899,f18,f1125,f1109,f706,f709,f615,f1058,f24,f1064,f957,f603,f1059,f17,f5,f390,f956,f1162]) ).

fof(f1162,plain,
    ( identity != inverse(identity)
    | spl0_2
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1158,f390]) ).

fof(f1158,plain,
    ( sk_c7 != inverse(identity)
    | spl0_2
    | ~ spl0_12 ),
    inference(superposition,[],[f37,f956]) ).

fof(f956,plain,
    ( identity = sk_c8
    | spl0_2
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f948,f37]) ).

fof(f390,plain,
    ( identity = sk_c7
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f388]) ).

fof(f1059,plain,
    ( sk_c7 = multiply(sk_c1,identity)
    | spl0_2
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1058,f956]) ).

fof(f603,plain,
    ( identity = multiply(sk_c2,sk_c3)
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f601]) ).

fof(f601,plain,
    ( spl0_12
  <=> identity = multiply(sk_c2,sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f957,plain,
    ( sk_c7 != inverse(identity)
    | spl0_2
    | ~ spl0_12 ),
    inference(superposition,[],[f37,f956]) ).

fof(f1064,plain,
    ( sk_c3 = inverse(sk_c2)
    | spl0_2 ),
    inference(subsumption_resolution,[],[f22,f37]) ).

fof(f1058,plain,
    ( multiply(sk_c1,sk_c8) = sk_c7
    | spl0_2 ),
    inference(subsumption_resolution,[],[f4,f37]) ).

fof(f1109,plain,
    ( sk_c8 = multiply(sk_c2,sk_c3)
    | spl0_2 ),
    inference(subsumption_resolution,[],[f16,f37]) ).

fof(f1125,plain,
    ( sk_c8 = multiply(sk_c2,sk_c3)
    | spl0_2 ),
    inference(global_subsumption,[],[f22,f16,f1,f2,f10,f3,f20,f19,f26,f25,f14,f13,f12,f9,f27,f15,f11,f23,f17,f21,f57,f618,f626,f616,f700,f691,f707,f723,f6,f7,f8,f5,f30,f4,f37,f1064,f24,f1058,f615,f709,f706,f1109,f18]) ).

fof(f899,plain,
    ( ! [X0] : multiply(sk_c2,multiply(sk_c3,X0)) = X0
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f897,f1]) ).

fof(f897,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c2,multiply(sk_c3,X0))
    | ~ spl0_12 ),
    inference(superposition,[],[f3,f603]) ).

fof(f37,plain,
    ( sk_c7 != inverse(sk_c8)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f36]) ).

fof(f948,plain,
    ( identity = sk_c8
    | sk_c7 = inverse(sk_c8)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f16,f603]) ).

fof(f946,plain,
    ( identity = sk_c8
    | sk_c6 = multiply(sk_c5,sk_c8)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f20,f603]) ).

fof(f909,plain,
    ( identity = sk_c8
    | sk_c7 = multiply(sk_c8,sk_c6)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f19,f603]) ).

fof(f916,plain,
    ( identity = sk_c8
    | sk_c8 = multiply(sk_c4,sk_c7)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f18,f603]) ).

fof(f926,plain,
    ( identity = sk_c8
    | sk_c8 = inverse(sk_c4)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f17,f603]) ).

fof(f1161,plain,
    ( identity = multiply(identity,sk_c5)
    | spl0_2
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(superposition,[],[f494,f956]) ).

fof(f494,plain,
    ( identity = multiply(sk_c8,sk_c5)
    | ~ spl0_9 ),
    inference(superposition,[],[f2,f386]) ).

fof(f386,plain,
    ( sk_c8 = inverse(sk_c5)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f384]) ).

fof(f384,plain,
    ( spl0_9
  <=> sk_c8 = inverse(sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f1168,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1167]) ).

fof(f1167,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1160,f22,f16,f1,f2,f10,f3,f20,f19,f26,f25,f14,f13,f12,f9,f27,f15,f11,f23,f21,f57,f618,f626,f616,f700,f691,f707,f723,f926,f6,f916,f909,f7,f8,f946,f30,f948,f4,f37,f899,f18,f1125,f1109,f706,f709,f615,f1058,f24,f1064,f957,f603,f1059,f17,f5,f390,f956,f1162]) ).

fof(f1160,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c1,X0)) = X0
    | ~ spl0_1
    | spl0_2
    | ~ spl0_12 ),
    inference(superposition,[],[f235,f956]) ).

fof(f235,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f234,f1]) ).

fof(f234,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c1,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f232]) ).

fof(f232,plain,
    ( identity = multiply(sk_c8,sk_c1)
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f34]) ).

fof(f34,plain,
    ( sk_c8 = inverse(sk_c1)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f32]) ).

fof(f1166,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1165]) ).

fof(f1165,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1159,f22,f16,f1,f2,f10,f3,f20,f19,f26,f25,f14,f13,f12,f9,f27,f15,f11,f23,f21,f57,f618,f626,f616,f700,f691,f707,f723,f926,f6,f916,f909,f7,f8,f946,f30,f948,f4,f37,f899,f18,f1125,f1109,f706,f709,f615,f1058,f24,f1064,f957,f603,f1059,f17,f5,f390,f956,f1162]) ).

fof(f1159,plain,
    ( identity = multiply(identity,sk_c1)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_12 ),
    inference(superposition,[],[f232,f956]) ).

fof(f1164,plain,
    ( spl0_2
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1163]) ).

fof(f1163,plain,
    ( $false
    | spl0_2
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f22,f16,f1,f2,f10,f3,f20,f19,f26,f25,f14,f13,f12,f9,f27,f15,f11,f23,f21,f57,f618,f626,f616,f700,f691,f707,f723,f926,f6,f916,f909,f7,f8,f946,f30,f948,f4,f37,f899,f18,f1125,f1109,f706,f709,f615,f1058,f24,f1064,f957,f603,f1059,f17,f5,f390,f956,f1162]) ).

fof(f1155,plain,
    ( spl0_2
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1154]) ).

fof(f1154,plain,
    ( $false
    | spl0_2
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f267,f22,f16,f1,f2,f10,f3,f20,f19,f26,f25,f14,f13,f12,f9,f27,f15,f11,f23,f17,f374,f380,f21,f57,f618,f626,f616,f700,f691,f707,f723,f926,f945,f6,f916,f909,f7,f8,f946,f5,f947,f30,f948,f4,f37,f263,f963,f966,f967,f899,f18,f1125,f1109,f952,f706,f709,f950,f951,f949,f615,f1058,f24,f1064,f961,f957,f956,f971,f970,f1059,f962,f603,f390]) ).

fof(f962,plain,
    ( identity = sk_c4
    | spl0_2
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(superposition,[],[f961,f1]) ).

fof(f970,plain,
    ( identity = inverse(identity)
    | spl0_2
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f969,f956]) ).

fof(f969,plain,
    ( sk_c8 = inverse(identity)
    | spl0_2
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(superposition,[],[f263,f962]) ).

fof(f971,plain,
    ( identity != sk_c7
    | spl0_2
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(superposition,[],[f957,f970]) ).

fof(f961,plain,
    ( identity = multiply(identity,sk_c4)
    | spl0_2
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f952,f956]) ).

fof(f949,plain,
    ( identity = multiply(inverse(inverse(sk_c8)),sk_c4)
    | ~ spl0_7 ),
    inference(superposition,[],[f691,f263]) ).

fof(f951,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c4,X0)) = X0
    | ~ spl0_7 ),
    inference(superposition,[],[f57,f263]) ).

fof(f950,plain,
    ( sk_c4 = multiply(inverse(sk_c8),identity)
    | ~ spl0_7 ),
    inference(superposition,[],[f616,f263]) ).

fof(f952,plain,
    ( identity = multiply(sk_c8,sk_c4)
    | ~ spl0_7 ),
    inference(superposition,[],[f2,f263]) ).

fof(f967,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c4,X0)) = X0
    | spl0_2
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f965,f1]) ).

fof(f965,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(identity,multiply(sk_c4,X0))
    | spl0_2
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(superposition,[],[f3,f961]) ).

fof(f966,plain,
    ( identity = sk_c4
    | spl0_2
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f964,f2]) ).

fof(f964,plain,
    ( sk_c4 = multiply(inverse(identity),identity)
    | spl0_2
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(superposition,[],[f57,f961]) ).

fof(f963,plain,
    ( identity = sk_c4
    | spl0_2
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(superposition,[],[f1,f961]) ).

fof(f947,plain,
    ( sk_c8 = inverse(sk_c4)
    | ~ spl0_7 ),
    inference(global_subsumption,[],[f22,f16,f4,f30,f1,f2,f10,f3,f20,f19,f18,f26,f25,f24,f14,f13,f12,f9,f27,f15,f11,f23,f17,f263,f374,f380,f21,f57,f618,f626,f616,f700,f691,f707,f723,f709,f706,f615,f6,f7,f8,f5]) ).

fof(f945,plain,
    ( sk_c8 = inverse(sk_c4)
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f926,f22,f16,f4,f30,f1,f2,f10,f3,f20,f19,f18,f8,f7,f6,f26,f25,f24,f14,f13,f12,f9,f5,f27,f15,f11,f23,f17,f263,f374,f380,f21,f57,f618,f626,f616,f700,f691,f707,f723,f709,f706,f615]) ).

fof(f380,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c4,X0)) = X0
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f377,f1]) ).

fof(f377,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c4,X0))
    | ~ spl0_7 ),
    inference(superposition,[],[f3,f374]) ).

fof(f374,plain,
    ( identity = multiply(sk_c8,sk_c4)
    | ~ spl0_7 ),
    inference(superposition,[],[f2,f263]) ).

fof(f267,plain,
    ( sk_c3 = inverse(sk_c2)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f265]) ).

fof(f265,plain,
    ( spl0_8
  <=> sk_c3 = inverse(sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f1153,plain,
    ( spl0_2
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1152]) ).

fof(f1152,plain,
    ( $false
    | spl0_2
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f898,f22,f16,f1,f2,f10,f3,f20,f19,f26,f25,f14,f13,f12,f9,f27,f15,f11,f23,f17,f374,f380,f21,f57,f618,f626,f616,f700,f691,f707,f723,f926,f945,f6,f916,f909,f7,f8,f946,f5,f947,f30,f948,f4,f37,f263,f963,f966,f967,f899,f18,f1125,f1109,f952,f706,f709,f950,f951,f949,f615,f1058,f24,f1064,f961,f957,f956,f971,f970,f1059,f962,f603,f390]) ).

fof(f898,plain,
    ( sk_c3 = multiply(sk_c3,identity)
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f896,f267]) ).

fof(f896,plain,
    ( sk_c3 = multiply(inverse(sk_c2),identity)
    | ~ spl0_12 ),
    inference(superposition,[],[f57,f603]) ).

fof(f1151,plain,
    ( spl0_2
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1150]) ).

fof(f1150,plain,
    ( $false
    | spl0_2
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1018,f22,f16,f1,f2,f10,f3,f20,f19,f26,f25,f14,f13,f12,f9,f27,f15,f11,f23,f17,f374,f380,f21,f57,f618,f626,f616,f700,f691,f707,f723,f926,f945,f6,f916,f909,f7,f8,f946,f5,f947,f30,f948,f4,f37,f263,f963,f966,f967,f899,f18,f1125,f1109,f952,f706,f709,f950,f951,f949,f615,f1058,f24,f1064,f961,f957,f956,f971,f970,f1059,f962,f603,f390]) ).

fof(f1018,plain,
    ( sk_c2 = multiply(sk_c2,identity)
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(superposition,[],[f899,f895]) ).

fof(f895,plain,
    ( identity = multiply(sk_c3,sk_c2)
    | ~ spl0_8 ),
    inference(superposition,[],[f2,f267]) ).

fof(f1149,plain,
    ( spl0_2
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1148]) ).

fof(f1148,plain,
    ( $false
    | spl0_2
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f22,f16,f1,f2,f10,f3,f20,f19,f26,f25,f14,f13,f12,f9,f27,f15,f11,f23,f17,f374,f380,f21,f57,f618,f626,f616,f700,f691,f707,f723,f926,f945,f6,f916,f909,f7,f8,f946,f5,f947,f30,f948,f4,f37,f263,f963,f966,f967,f899,f18,f1125,f1109,f952,f706,f709,f950,f951,f949,f615,f1058,f24,f1064,f961,f957,f956,f971,f970,f1059,f962,f603,f390]) ).

fof(f1147,plain,
    ( spl0_2
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1146]) ).

fof(f1146,plain,
    ( $false
    | spl0_2
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f22,f16,f1,f2,f10,f3,f20,f19,f26,f25,f14,f13,f12,f9,f27,f15,f11,f23,f17,f374,f380,f21,f390,f57,f618,f626,f616,f700,f691,f707,f723,f926,f945,f6,f916,f909,f7,f8,f946,f5,f947,f30,f948,f4,f37,f263,f963,f966,f967,f899,f18,f1125,f1109,f952,f706,f709,f950,f951,f949,f615,f1058,f24,f1064,f961,f957,f956,f971,f970,f1059,f962,f603]) ).

fof(f1145,plain,
    ( spl0_2
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1144]) ).

fof(f1144,plain,
    ( $false
    | spl0_2
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f22,f16,f1,f2,f10,f3,f20,f19,f26,f25,f14,f13,f12,f9,f27,f15,f11,f23,f17,f374,f380,f21,f390,f57,f618,f626,f616,f700,f691,f707,f723,f603,f926,f945,f6,f916,f909,f7,f8,f946,f5,f947,f30,f948,f4,f37,f263,f963,f966,f967,f899,f18,f1125,f1109,f952,f706,f709,f950,f951,f949,f615,f1058,f24,f1064,f961,f957,f956,f971,f970,f1059,f962]) ).

fof(f1143,plain,
    ( spl0_2
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1142]) ).

fof(f1142,plain,
    ( $false
    | spl0_2
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f22,f16,f1,f2,f10,f3,f20,f19,f26,f25,f14,f13,f12,f9,f27,f15,f11,f23,f17,f374,f380,f21,f390,f57,f618,f626,f616,f700,f691,f707,f723,f603,f926,f945,f6,f916,f909,f7,f8,f946,f5,f947,f30,f948,f4,f37,f263,f963,f966,f967,f962,f899,f18,f1125,f1109,f952,f706,f709,f950,f951,f949,f615,f1058,f24,f1064,f961,f957,f956,f971,f970,f1059]) ).

fof(f1141,plain,
    ( spl0_2
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1140]) ).

fof(f1140,plain,
    ( $false
    | spl0_2
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1001,f22,f16,f1,f2,f10,f3,f20,f19,f26,f25,f14,f13,f12,f9,f27,f15,f11,f23,f17,f374,f380,f21,f390,f57,f618,f626,f616,f700,f691,f707,f723,f603,f926,f945,f6,f916,f909,f7,f8,f946,f5,f947,f30,f948,f4,f37,f263,f963,f966,f967,f962,f899,f18,f1125,f1109,f952,f706,f709,f950,f951,f949,f615,f1058,f24,f1064,f961,f957,f956,f971,f970]) ).

fof(f1001,plain,
    ( sk_c8 = inverse(identity)
    | spl0_2
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(superposition,[],[f386,f993]) ).

fof(f993,plain,
    ( identity = sk_c5
    | spl0_2
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(superposition,[],[f960,f1]) ).

fof(f960,plain,
    ( identity = multiply(identity,sk_c5)
    | spl0_2
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(superposition,[],[f494,f956]) ).

fof(f1139,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1138]) ).

fof(f1138,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1061,f22,f16,f1,f2,f10,f3,f20,f19,f26,f25,f14,f13,f12,f9,f27,f15,f11,f23,f17,f374,f380,f21,f390,f57,f618,f626,f616,f700,f691,f707,f723,f603,f926,f945,f6,f916,f909,f7,f8,f946,f5,f947,f30,f948,f4,f37,f263,f963,f966,f967,f962,f899,f18,f1125,f1109,f952,f706,f709,f950,f951,f949,f615,f1058,f24,f1064,f961,f957,f956,f971,f970]) ).

fof(f1061,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | spl0_2
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1060,f1]) ).

fof(f1060,plain,
    ( sk_c7 = multiply(identity,identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1059,f979]) ).

fof(f979,plain,
    ( identity = sk_c1
    | ~ spl0_1
    | spl0_2
    | ~ spl0_12 ),
    inference(superposition,[],[f958,f1]) ).

fof(f958,plain,
    ( identity = multiply(identity,sk_c1)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_12 ),
    inference(superposition,[],[f232,f956]) ).

fof(f1137,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1136]) ).

fof(f1136,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f985,f22,f16,f1,f2,f10,f3,f20,f19,f26,f25,f14,f13,f12,f9,f27,f15,f11,f23,f17,f374,f380,f21,f390,f57,f618,f626,f616,f700,f691,f707,f723,f603,f926,f945,f6,f916,f909,f7,f8,f946,f5,f947,f30,f948,f4,f37,f263,f963,f966,f967,f962,f899,f18,f1125,f1109,f952,f706,f709,f950,f951,f949,f615,f1058,f24,f1064,f961,f957,f956,f971,f970]) ).

fof(f985,plain,
    ( sk_c8 = inverse(identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_12 ),
    inference(superposition,[],[f34,f979]) ).

fof(f1135,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1134]) ).

fof(f1134,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f979,f22,f16,f1,f2,f10,f3,f20,f19,f26,f25,f14,f13,f12,f9,f27,f15,f11,f23,f17,f374,f380,f21,f390,f57,f618,f626,f616,f700,f691,f707,f723,f603,f926,f945,f6,f916,f909,f7,f8,f946,f5,f947,f30,f948,f4,f37,f263,f963,f966,f967,f962,f899,f18,f1125,f1109,f952,f706,f709,f950,f951,f949,f615,f1058,f24,f1064,f961,f957,f956,f971,f970]) ).

fof(f1133,plain,
    ( spl0_2
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1132]) ).

fof(f1132,plain,
    ( $false
    | spl0_2
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f22,f16,f1,f2,f10,f3,f20,f19,f26,f25,f14,f13,f12,f9,f27,f15,f11,f23,f17,f374,f380,f21,f390,f57,f618,f626,f616,f700,f691,f707,f723,f603,f926,f945,f6,f916,f909,f7,f8,f946,f5,f947,f30,f948,f4,f37,f263,f963,f966,f967,f962,f899,f18,f1125,f1109,f952,f706,f709,f950,f951,f949,f615,f1058,f24,f1064,f961,f957,f956,f971,f970]) ).

fof(f1131,plain,
    ( spl0_2
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1130]) ).

fof(f1130,plain,
    ( $false
    | spl0_2
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f22,f16,f1,f2,f10,f3,f20,f19,f26,f25,f14,f13,f12,f9,f27,f15,f11,f23,f17,f374,f380,f21,f390,f57,f618,f626,f616,f700,f691,f707,f723,f603,f926,f945,f6,f916,f909,f7,f8,f946,f5,f947,f30,f948,f4,f37,f263,f963,f966,f967,f962,f970,f899,f18,f1125,f1109,f952,f706,f709,f950,f951,f949,f615,f1058,f24,f1064,f961,f957,f956,f971]) ).

fof(f1123,plain,
    ( spl0_2
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1122]) ).

fof(f1122,plain,
    ( $false
    | spl0_2
    | spl0_8 ),
    inference(global_subsumption,[],[f22,f16,f1,f2,f10,f3,f20,f19,f26,f25,f14,f13,f12,f9,f27,f15,f11,f23,f17,f21,f57,f618,f626,f616,f700,f691,f707,f723,f6,f7,f8,f5,f30,f4,f37,f1064,f24,f1058,f615,f709,f706,f1109,f18,f266]) ).

fof(f266,plain,
    ( sk_c3 != inverse(sk_c2)
    | spl0_8 ),
    inference(avatar_component_clause,[],[f265]) ).

fof(f1121,plain,
    ( spl0_2
    | spl0_8
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1120]) ).

fof(f1120,plain,
    ( $false
    | spl0_2
    | spl0_8
    | spl0_12 ),
    inference(global_subsumption,[],[f602,f22,f16,f1,f2,f10,f3,f20,f19,f26,f25,f14,f13,f12,f9,f27,f15,f11,f23,f17,f21,f57,f618,f626,f266,f616,f700,f691,f707,f723,f6,f7,f8,f5,f30,f4,f37,f1064,f24,f1058,f615,f709,f706,f1109,f18]) ).

fof(f602,plain,
    ( identity != multiply(sk_c2,sk_c3)
    | spl0_12 ),
    inference(avatar_component_clause,[],[f601]) ).

fof(f1119,plain,
    ( spl0_2
    | spl0_8
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1118]) ).

fof(f1118,plain,
    ( $false
    | spl0_2
    | spl0_8
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1117,f22,f16,f1,f2,f10,f3,f20,f19,f26,f25,f14,f13,f12,f9,f27,f15,f11,f23,f17,f21,f57,f618,f626,f266,f616,f700,f691,f707,f723,f6,f7,f8,f5,f30,f4,f37,f1064,f24,f1058,f615,f709,f706,f1109,f18]) ).

fof(f1116,plain,
    ( spl0_2
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1115]) ).

fof(f1115,plain,
    ( $false
    | spl0_2
    | spl0_8 ),
    inference(global_subsumption,[],[f22,f16,f1,f2,f10,f3,f20,f19,f26,f25,f14,f13,f12,f9,f27,f15,f11,f23,f17,f21,f57,f618,f626,f266,f616,f700,f691,f707,f723,f6,f7,f8,f5,f30,f4,f37,f1064,f24,f1058,f615,f709,f706,f1109,f18]) ).

fof(f1114,plain,
    ( spl0_2
    | spl0_8
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1113]) ).

fof(f1113,plain,
    ( $false
    | spl0_2
    | spl0_8
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1112,f22,f16,f1,f2,f10,f3,f20,f19,f18,f26,f25,f14,f13,f12,f9,f27,f15,f11,f23,f17,f21,f57,f618,f626,f266,f616,f700,f691,f707,f723,f6,f7,f8,f5,f30,f4,f37,f1064,f24,f1058,f615,f709,f706,f1109]) ).

fof(f1111,plain,
    ( spl0_2
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1110]) ).

fof(f1110,plain,
    ( $false
    | spl0_2
    | spl0_8 ),
    inference(global_subsumption,[],[f22,f16,f1,f2,f10,f3,f20,f19,f18,f26,f25,f14,f13,f12,f9,f27,f15,f11,f23,f17,f21,f57,f618,f626,f266,f616,f700,f691,f707,f723,f6,f7,f8,f5,f30,f4,f37,f1064,f24,f1058,f615,f709,f706,f1109]) ).

fof(f1108,plain,
    ( spl0_2
    | ~ spl0_7
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1107]) ).

fof(f1107,plain,
    ( $false
    | spl0_2
    | ~ spl0_7
    | spl0_8 ),
    inference(global_subsumption,[],[f952,f22,f16,f1,f2,f10,f3,f20,f19,f18,f26,f25,f14,f13,f12,f9,f27,f15,f11,f23,f17,f21,f57,f618,f626,f266,f616,f700,f691,f707,f723,f6,f7,f8,f5,f30,f4,f37,f1064,f24,f1058,f615,f709,f706]) ).

fof(f1106,plain,
    ( spl0_2
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1105]) ).

fof(f1105,plain,
    ( $false
    | spl0_2
    | spl0_8 ),
    inference(global_subsumption,[],[f22,f16,f1,f2,f10,f3,f20,f19,f18,f26,f25,f14,f13,f12,f9,f27,f15,f11,f23,f17,f21,f57,f618,f626,f266,f616,f700,f691,f707,f723,f6,f7,f8,f5,f30,f4,f37,f1064,f24,f1058,f615,f709,f706]) ).

fof(f1104,plain,
    ( spl0_2
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1103]) ).

fof(f1103,plain,
    ( $false
    | spl0_2
    | spl0_8 ),
    inference(global_subsumption,[],[f22,f16,f1,f2,f10,f3,f20,f19,f18,f26,f25,f14,f13,f12,f9,f27,f15,f11,f23,f17,f21,f57,f618,f626,f266,f616,f700,f691,f707,f723,f706,f6,f7,f8,f5,f30,f4,f37,f1064,f24,f1058,f615,f709]) ).

fof(f1102,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1101]) ).

fof(f1101,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_8 ),
    inference(global_subsumption,[],[f627,f22,f16,f1,f2,f10,f3,f20,f19,f18,f26,f25,f14,f13,f12,f9,f27,f15,f11,f23,f17,f21,f57,f618,f626,f266,f616,f700,f691,f707,f723,f709,f706,f6,f7,f8,f5,f30,f4,f37,f1064,f24,f1058,f615]) ).

fof(f627,plain,
    ( sk_c1 = multiply(inverse(sk_c8),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f57,f232]) ).

fof(f1100,plain,
    ( spl0_2
    | spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1099]) ).

fof(f1099,plain,
    ( $false
    | spl0_2
    | spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f631,f22,f16,f1,f2,f10,f3,f20,f19,f18,f26,f25,f14,f13,f12,f9,f27,f15,f11,f23,f17,f21,f57,f618,f626,f266,f616,f700,f691,f707,f723,f709,f706,f6,f7,f8,f5,f30,f4,f37,f1064,f24,f1058,f615]) ).

fof(f631,plain,
    ( sk_c5 = multiply(inverse(sk_c8),identity)
    | ~ spl0_9 ),
    inference(superposition,[],[f57,f494]) ).

fof(f1098,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1097]) ).

fof(f1097,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_8 ),
    inference(global_subsumption,[],[f687,f22,f16,f1,f2,f10,f3,f20,f19,f18,f26,f25,f14,f13,f12,f9,f27,f15,f11,f23,f17,f21,f57,f618,f626,f266,f616,f700,f691,f707,f723,f709,f706,f6,f7,f8,f5,f30,f4,f37,f1064,f24,f1058,f615]) ).

fof(f687,plain,
    ( sk_c1 = multiply(inverse(sk_c8),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f616,f34]) ).

fof(f1096,plain,
    ( spl0_2
    | spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1095]) ).

fof(f1095,plain,
    ( $false
    | spl0_2
    | spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f690,f22,f16,f1,f2,f10,f3,f20,f19,f18,f26,f25,f14,f13,f12,f9,f27,f15,f11,f23,f17,f21,f57,f618,f626,f266,f616,f700,f691,f707,f723,f709,f706,f6,f7,f8,f5,f30,f4,f37,f1064,f24,f1058,f615]) ).

fof(f690,plain,
    ( sk_c5 = multiply(inverse(sk_c8),identity)
    | ~ spl0_9 ),
    inference(superposition,[],[f616,f386]) ).

fof(f1094,plain,
    ( spl0_2
    | ~ spl0_7
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1093]) ).

fof(f1093,plain,
    ( $false
    | spl0_2
    | ~ spl0_7
    | spl0_8 ),
    inference(global_subsumption,[],[f950,f22,f16,f1,f2,f10,f3,f20,f19,f18,f26,f25,f14,f13,f12,f9,f27,f15,f11,f23,f17,f21,f57,f618,f626,f266,f616,f700,f691,f707,f723,f709,f706,f6,f7,f8,f5,f30,f4,f37,f1064,f24,f1058,f615]) ).

fof(f1092,plain,
    ( spl0_2
    | spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1091]) ).

fof(f1091,plain,
    ( $false
    | spl0_2
    | spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f500,f22,f16,f1,f2,f10,f3,f20,f19,f18,f26,f25,f14,f13,f12,f9,f27,f15,f11,f23,f17,f21,f57,f618,f626,f266,f616,f700,f691,f707,f723,f709,f706,f6,f7,f8,f5,f30,f4,f37,f1064,f24,f1058,f615]) ).

fof(f500,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f497,f1]) ).

fof(f497,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c5,X0))
    | ~ spl0_9 ),
    inference(superposition,[],[f3,f494]) ).

fof(f1090,plain,
    ( spl0_2
    | spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1089]) ).

fof(f1089,plain,
    ( $false
    | spl0_2
    | spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f613,f22,f16,f1,f2,f10,f3,f20,f19,f18,f26,f25,f14,f13,f12,f9,f27,f15,f11,f23,f17,f21,f57,f618,f626,f266,f616,f700,f691,f707,f723,f709,f706,f6,f7,f8,f5,f30,f4,f37,f1064,f24,f1058,f615]) ).

fof(f613,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
    | ~ spl0_9 ),
    inference(superposition,[],[f57,f386]) ).

fof(f1088,plain,
    ( spl0_2
    | ~ spl0_7
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1087]) ).

fof(f1087,plain,
    ( $false
    | spl0_2
    | ~ spl0_7
    | spl0_8 ),
    inference(global_subsumption,[],[f951,f22,f16,f1,f2,f10,f3,f20,f19,f18,f26,f25,f14,f13,f12,f9,f27,f15,f11,f23,f17,f21,f57,f618,f626,f266,f616,f700,f691,f707,f723,f709,f706,f6,f7,f8,f5,f30,f4,f37,f1064,f24,f1058,f615]) ).

fof(f1086,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1085]) ).

fof(f1085,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_8 ),
    inference(global_subsumption,[],[f702,f22,f16,f1,f2,f10,f3,f20,f19,f18,f26,f25,f14,f13,f12,f9,f27,f15,f11,f23,f17,f21,f57,f618,f626,f266,f616,f700,f691,f707,f723,f709,f706,f6,f7,f8,f5,f30,f4,f37,f1064,f24,f1058,f615]) ).

fof(f702,plain,
    ( identity = multiply(inverse(inverse(sk_c8)),sk_c1)
    | ~ spl0_1 ),
    inference(superposition,[],[f691,f34]) ).

fof(f1084,plain,
    ( spl0_2
    | spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1083]) ).

fof(f1083,plain,
    ( $false
    | spl0_2
    | spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f705,f22,f16,f1,f2,f10,f3,f20,f19,f18,f26,f25,f14,f13,f12,f9,f27,f15,f11,f23,f17,f21,f57,f618,f626,f266,f616,f700,f691,f707,f723,f709,f706,f6,f7,f8,f5,f30,f4,f37,f1064,f24,f1058,f615]) ).

fof(f705,plain,
    ( identity = multiply(inverse(inverse(sk_c8)),sk_c5)
    | ~ spl0_9 ),
    inference(superposition,[],[f691,f386]) ).

fof(f1082,plain,
    ( spl0_2
    | ~ spl0_7
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1081]) ).

fof(f1081,plain,
    ( $false
    | spl0_2
    | ~ spl0_7
    | spl0_8 ),
    inference(global_subsumption,[],[f949,f22,f16,f1,f2,f10,f3,f20,f19,f18,f26,f25,f14,f13,f12,f9,f27,f15,f11,f23,f17,f21,f57,f618,f626,f266,f616,f700,f691,f707,f723,f709,f706,f6,f7,f8,f5,f30,f4,f37,f1064,f24,f1058,f615]) ).

fof(f1080,plain,
    ( spl0_2
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1079]) ).

fof(f1079,plain,
    ( $false
    | spl0_2
    | spl0_8 ),
    inference(global_subsumption,[],[f22,f16,f1,f2,f10,f3,f20,f19,f18,f26,f25,f14,f13,f12,f9,f27,f15,f11,f23,f17,f21,f57,f618,f626,f266,f616,f700,f691,f707,f723,f709,f706,f6,f7,f8,f5,f30,f4,f37,f1064,f24,f1058,f615]) ).

fof(f1078,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1077]) ).

fof(f1077,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_8 ),
    inference(global_subsumption,[],[f623,f22,f16,f1,f2,f10,f3,f20,f19,f18,f26,f25,f14,f13,f12,f9,f27,f15,f11,f23,f17,f21,f57,f618,f626,f266,f616,f700,f691,f707,f723,f709,f706,f615,f6,f7,f8,f5,f30,f4,f37,f1064,f24,f1058]) ).

fof(f623,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c8),X0)
    | ~ spl0_1 ),
    inference(superposition,[],[f57,f235]) ).

fof(f1076,plain,
    ( spl0_2
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1075]) ).

fof(f1075,plain,
    ( $false
    | spl0_2
    | spl0_8 ),
    inference(global_subsumption,[],[f22,f16,f1,f2,f10,f3,f20,f19,f18,f26,f25,f14,f13,f12,f9,f27,f15,f11,f23,f17,f21,f57,f618,f626,f266,f616,f700,f691,f707,f723,f709,f706,f615,f6,f7,f8,f5,f30,f4,f37,f1064,f24,f1058]) ).

fof(f1074,plain,
    ( spl0_2
    | spl0_8
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1073]) ).

fof(f1073,plain,
    ( $false
    | spl0_2
    | spl0_8
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1072,f22,f16,f1,f2,f10,f3,f20,f19,f18,f26,f25,f14,f13,f12,f9,f27,f15,f11,f23,f17,f21,f57,f618,f626,f266,f616,f700,f691,f707,f723,f709,f706,f615,f6,f7,f8,f5,f30,f4,f37,f1064,f24]) ).

fof(f1072,plain,
    ( sk_c7 = multiply(sk_c8,identity)
    | sk_c3 = inverse(sk_c2)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f25,f599]) ).

fof(f1071,plain,
    ( spl0_2
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1070]) ).

fof(f1070,plain,
    ( $false
    | spl0_2
    | spl0_8 ),
    inference(global_subsumption,[],[f22,f16,f1,f2,f10,f3,f20,f19,f18,f26,f25,f14,f13,f12,f9,f27,f15,f11,f23,f17,f21,f57,f618,f626,f266,f616,f700,f691,f707,f723,f709,f706,f615,f6,f7,f8,f5,f30,f4,f37,f1064,f24]) ).

fof(f1069,plain,
    ( spl0_2
    | spl0_8
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1068]) ).

fof(f1068,plain,
    ( $false
    | spl0_2
    | spl0_8
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1067,f22,f16,f1,f2,f10,f3,f20,f19,f18,f26,f25,f24,f14,f13,f12,f9,f27,f15,f11,f23,f17,f21,f57,f618,f626,f266,f616,f700,f691,f707,f723,f709,f706,f615,f6,f7,f8,f5,f30,f4,f37,f1064]) ).

fof(f1067,plain,
    ( identity = multiply(sk_c5,sk_c8)
    | sk_c3 = inverse(sk_c2)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f26,f599]) ).

fof(f1066,plain,
    ( spl0_2
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1065]) ).

fof(f1065,plain,
    ( $false
    | spl0_2
    | spl0_8 ),
    inference(global_subsumption,[],[f22,f16,f1,f2,f10,f3,f20,f19,f18,f26,f25,f24,f14,f13,f12,f9,f27,f15,f11,f23,f17,f21,f57,f618,f626,f266,f616,f700,f691,f707,f723,f709,f706,f615,f6,f7,f8,f5,f30,f4,f37,f1064]) ).

fof(f1063,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1062]) ).

fof(f1062,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_10
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1061,f389]) ).

fof(f944,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f943]) ).

fof(f943,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | spl0_10 ),
    inference(global_subsumption,[],[f22,f16,f4,f30,f1,f2,f10,f38,f40,f3,f60,f63,f20,f19,f18,f8,f7,f6,f26,f25,f24,f14,f13,f12,f9,f5,f27,f15,f11,f34,f232,f233,f237,f235,f238,f245,f246,f247,f241,f243,f253,f251,f242,f23,f275,f277,f281,f283,f288,f286,f287,f289,f276,f291,f293,f327,f330,f17,f373,f372,f21,f57,f618,f626,f616,f700,f691,f707,f723,f709,f706,f703,f850,f688,f629,f624,f621,f617,f615,f389,f905,f919,f923,f290,f282,f280,f262]) ).

fof(f280,plain,
    ( identity = sk_c1
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(forward_demodulation,[],[f278,f1]) ).

fof(f278,plain,
    ( sk_c1 = multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(superposition,[],[f233,f275]) ).

fof(f282,plain,
    ( sk_c8 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(superposition,[],[f34,f280]) ).

fof(f290,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(superposition,[],[f276,f1]) ).

fof(f923,plain,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(subsumption_resolution,[],[f922,f389]) ).

fof(f922,plain,
    ( identity = sk_c7
    | sk_c8 = multiply(sk_c4,sk_c7)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f6,f243]) ).

fof(f919,plain,
    ( sk_c8 = inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(subsumption_resolution,[],[f373,f389]) ).

fof(f905,plain,
    ( sk_c7 = multiply(sk_c8,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(subsumption_resolution,[],[f904,f389]) ).

fof(f904,plain,
    ( identity = sk_c7
    | sk_c7 = multiply(sk_c8,sk_c6)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f7,f243]) ).

fof(f617,plain,
    ( ! [X0] : multiply(inverse(sk_c7),multiply(sk_c1,X0)) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f57,f238]) ).

fof(f621,plain,
    ( identity = multiply(inverse(sk_c7),sk_c1)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f57,f233]) ).

fof(f850,plain,
    ( identity = multiply(inverse(sk_c7),sk_c1)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f702,f38]) ).

fof(f372,plain,
    ( identity = sk_c7
    | sk_c8 = inverse(sk_c5)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f9,f243]) ).

fof(f373,plain,
    ( identity = sk_c7
    | sk_c8 = inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f5,f243]) ).

fof(f330,plain,
    ( ! [X0] : multiply(sk_c2,multiply(sk_c3,X0)) = X0
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(forward_demodulation,[],[f329,f1]) ).

fof(f329,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c2,multiply(sk_c3,X0))
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(superposition,[],[f3,f327]) ).

fof(f327,plain,
    ( identity = multiply(sk_c2,sk_c3)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(forward_demodulation,[],[f326,f290]) ).

fof(f326,plain,
    ( sk_c8 = multiply(sk_c2,sk_c3)
    | spl0_7 ),
    inference(subsumption_resolution,[],[f17,f262]) ).

fof(f293,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c8,X0)) = X0
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(forward_demodulation,[],[f292,f1]) ).

fof(f292,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(identity,multiply(sk_c8,X0))
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(superposition,[],[f3,f276]) ).

fof(f291,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(superposition,[],[f1,f276]) ).

fof(f276,plain,
    ( identity = multiply(identity,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(superposition,[],[f40,f275]) ).

fof(f289,plain,
    ( identity = multiply(sk_c8,identity)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(superposition,[],[f2,f282]) ).

fof(f287,plain,
    ( identity = multiply(identity,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(superposition,[],[f243,f280]) ).

fof(f286,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c8,X0)) = X0
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(superposition,[],[f242,f280]) ).

fof(f288,plain,
    ( ! [X0] : multiply(sk_c8,X0) = X0
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(forward_demodulation,[],[f284,f1]) ).

fof(f284,plain,
    ( ! [X0] : multiply(sk_c8,multiply(identity,X0)) = X0
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(superposition,[],[f235,f280]) ).

fof(f283,plain,
    ( identity = multiply(sk_c8,identity)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(superposition,[],[f232,f280]) ).

fof(f281,plain,
    ( ! [X0] : multiply(sk_c1,X0) = X0
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(forward_demodulation,[],[f279,f1]) ).

fof(f279,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c1,X0)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(superposition,[],[f238,f275]) ).

fof(f277,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c8,X0)) = X0
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(superposition,[],[f60,f275]) ).

fof(f275,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(forward_demodulation,[],[f274,f243]) ).

fof(f274,plain,
    ( multiply(sk_c1,sk_c8) = sk_c7
    | spl0_7 ),
    inference(subsumption_resolution,[],[f5,f262]) ).

fof(f242,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c8,X0)) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f238,f60]) ).

fof(f251,plain,
    ( sk_c8 = multiply(sk_c8,identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f235,f243]) ).

fof(f253,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c8,X0)) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f252,f1]) ).

fof(f252,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c1,multiply(sk_c8,X0))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f243]) ).

fof(f243,plain,
    ( identity = multiply(sk_c1,sk_c8)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f238,f40]) ).

fof(f241,plain,
    ( sk_c1 = multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f238,f233]) ).

fof(f247,plain,
    ( identity = multiply(sk_c1,sk_c8)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f40,f238]) ).

fof(f246,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c8,X0)) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f60,f238]) ).

fof(f245,plain,
    ( sk_c1 = multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f233,f238]) ).

fof(f238,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c1,X0)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f60,f235]) ).

fof(f237,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c1,X0)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f236,f1]) ).

fof(f236,plain,
    ( ! [X0] : multiply(sk_c7,multiply(identity,X0)) = multiply(sk_c1,X0)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f233]) ).

fof(f233,plain,
    ( sk_c1 = multiply(sk_c7,identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f60,f232]) ).

fof(f942,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f941]) ).

fof(f941,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | spl0_10 ),
    inference(subsumption_resolution,[],[f275,f389]) ).

fof(f940,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f939]) ).

fof(f939,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | spl0_10 ),
    inference(global_subsumption,[],[f22,f16,f4,f30,f1,f2,f10,f38,f40,f3,f60,f63,f20,f19,f18,f8,f7,f6,f26,f25,f24,f14,f13,f12,f9,f5,f27,f15,f11,f34,f232,f233,f237,f235,f238,f245,f246,f247,f241,f243,f253,f251,f242,f23,f262,f275,f277,f281,f283,f288,f286,f287,f289,f276,f291,f293,f327,f330,f17,f373,f372,f21,f57,f618,f626,f616,f700,f691,f707,f723,f709,f706,f703,f850,f688,f629,f624,f621,f617,f615,f389,f905,f919,f923,f290,f282,f280]) ).

fof(f938,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f937]) ).

fof(f937,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | spl0_10 ),
    inference(global_subsumption,[],[f22,f16,f4,f30,f1,f2,f10,f38,f40,f3,f60,f63,f20,f19,f18,f8,f7,f6,f26,f25,f24,f14,f13,f12,f9,f5,f27,f15,f11,f34,f232,f233,f237,f235,f238,f245,f246,f247,f241,f243,f253,f251,f242,f23,f262,f275,f277,f281,f280,f283,f288,f286,f287,f289,f276,f291,f293,f327,f330,f17,f373,f372,f21,f57,f618,f626,f616,f700,f691,f707,f723,f709,f706,f703,f850,f688,f629,f624,f621,f617,f615,f389,f905,f919,f923,f290,f282]) ).

fof(f936,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f935]) ).

fof(f935,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | spl0_10 ),
    inference(global_subsumption,[],[f22,f16,f4,f30,f1,f2,f10,f38,f40,f3,f60,f63,f20,f19,f18,f8,f7,f6,f26,f25,f24,f14,f13,f12,f9,f5,f27,f15,f11,f34,f232,f233,f237,f235,f238,f245,f246,f247,f241,f243,f253,f251,f242,f23,f262,f275,f277,f281,f280,f283,f288,f286,f287,f282,f289,f276,f291,f293,f327,f330,f17,f373,f372,f21,f57,f618,f626,f616,f700,f691,f707,f723,f709,f706,f703,f850,f688,f629,f624,f621,f617,f615,f389,f905,f919,f923,f290]) ).

fof(f934,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f933]) ).

fof(f933,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f599,f22,f16,f4,f30,f1,f2,f10,f38,f40,f3,f60,f63,f20,f19,f18,f8,f7,f6,f26,f25,f24,f14,f13,f12,f9,f5,f27,f15,f11,f34,f232,f233,f237,f235,f238,f245,f246,f247,f241,f243,f253,f251,f242,f23,f262,f275,f277,f281,f280,f283,f288,f286,f287,f282,f289,f276,f291,f293,f290,f327,f330,f17,f373,f372,f21,f57,f618,f626,f616,f700,f691,f707,f723,f709,f706,f703,f850,f688,f629,f624,f621,f617,f615,f389,f905,f919,f923]) ).

fof(f932,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f931]) ).

fof(f931,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f891,f22,f16,f4,f30,f1,f2,f10,f38,f40,f3,f60,f63,f20,f19,f18,f8,f7,f6,f26,f25,f24,f14,f13,f12,f9,f5,f27,f15,f11,f34,f232,f233,f237,f235,f238,f245,f246,f247,f241,f243,f253,f251,f242,f23,f262,f275,f277,f281,f280,f283,f288,f286,f287,f282,f289,f276,f291,f293,f290,f327,f330,f17,f373,f372,f21,f57,f618,f626,f616,f700,f691,f707,f723,f709,f706,f703,f850,f688,f629,f624,f621,f617,f615,f389,f905,f919,f923]) ).

fof(f891,plain,
    ( identity != sk_c8
    | ~ spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_11 ),
    inference(superposition,[],[f389,f880]) ).

fof(f880,plain,
    ( sk_c8 = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f868,f389]) ).

fof(f868,plain,
    ( identity = sk_c7
    | sk_c8 = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f867,f243]) ).

fof(f867,plain,
    ( sk_c8 = sk_c7
    | multiply(sk_c1,sk_c8) = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f866,f251]) ).

fof(f866,plain,
    ( sk_c7 = multiply(sk_c8,identity)
    | multiply(sk_c1,sk_c8) = sk_c7
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f7,f599]) ).

fof(f930,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f929]) ).

fof(f929,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f880,f22,f16,f4,f30,f1,f2,f10,f38,f40,f3,f60,f63,f20,f19,f18,f8,f7,f6,f26,f25,f24,f14,f13,f12,f9,f5,f27,f15,f11,f34,f232,f233,f237,f235,f238,f245,f246,f247,f241,f243,f253,f251,f242,f23,f262,f275,f277,f281,f280,f283,f288,f286,f287,f282,f289,f276,f291,f293,f290,f327,f330,f17,f373,f372,f21,f57,f618,f626,f616,f700,f691,f707,f723,f709,f706,f703,f850,f688,f629,f624,f621,f617,f615,f389,f905,f919,f923]) ).

fof(f928,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f927]) ).

fof(f927,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f926,f22,f16,f4,f30,f1,f2,f10,f38,f40,f3,f60,f63,f20,f19,f18,f8,f7,f6,f26,f25,f24,f14,f13,f12,f9,f5,f27,f15,f11,f34,f232,f233,f237,f235,f238,f245,f246,f247,f241,f243,f253,f251,f242,f23,f262,f275,f277,f281,f280,f283,f288,f286,f287,f282,f289,f276,f291,f293,f290,f327,f330,f17,f373,f372,f21,f57,f618,f626,f616,f700,f691,f707,f723,f709,f706,f703,f850,f688,f629,f624,f621,f617,f615,f389,f905,f919,f923]) ).

fof(f925,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f924]) ).

fof(f924,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | spl0_10 ),
    inference(global_subsumption,[],[f22,f16,f4,f30,f1,f2,f10,f38,f40,f3,f60,f63,f20,f19,f18,f8,f7,f6,f26,f25,f24,f14,f13,f12,f9,f5,f27,f15,f11,f34,f232,f233,f237,f235,f238,f245,f246,f247,f241,f243,f253,f251,f242,f23,f262,f275,f277,f281,f280,f283,f288,f286,f287,f282,f289,f276,f291,f293,f290,f327,f330,f17,f373,f372,f21,f57,f618,f626,f616,f700,f691,f707,f723,f709,f706,f703,f850,f688,f629,f624,f621,f617,f615,f389,f905,f919,f923]) ).

fof(f921,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f920]) ).

fof(f920,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | spl0_10 ),
    inference(global_subsumption,[],[f22,f16,f4,f30,f1,f2,f10,f38,f40,f3,f60,f63,f20,f19,f18,f8,f7,f6,f26,f25,f24,f14,f13,f12,f9,f5,f27,f15,f11,f34,f232,f233,f237,f235,f238,f245,f246,f247,f241,f243,f253,f251,f242,f23,f262,f275,f277,f281,f280,f283,f288,f286,f287,f282,f289,f276,f291,f293,f290,f327,f330,f17,f373,f372,f21,f57,f618,f626,f616,f700,f691,f707,f723,f709,f706,f703,f850,f688,f629,f624,f621,f617,f615,f389,f905,f919]) ).

fof(f918,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f917]) ).

fof(f917,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f916,f22,f16,f4,f30,f1,f2,f10,f38,f40,f3,f60,f63,f20,f19,f18,f8,f7,f6,f26,f25,f24,f14,f13,f12,f9,f5,f27,f15,f11,f34,f232,f233,f237,f235,f238,f245,f246,f247,f241,f243,f253,f251,f242,f23,f262,f275,f277,f281,f280,f283,f288,f286,f287,f282,f289,f276,f291,f293,f290,f327,f330,f17,f373,f372,f21,f57,f618,f626,f616,f700,f691,f707,f723,f709,f706,f703,f850,f688,f629,f624,f621,f617,f615,f389,f905]) ).

fof(f915,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f914]) ).

fof(f914,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10
    | spl0_11 ),
    inference(global_subsumption,[],[f22,f16,f4,f30,f1,f2,f10,f38,f40,f3,f60,f63,f20,f19,f18,f8,f7,f6,f26,f25,f24,f14,f13,f12,f9,f5,f27,f15,f11,f34,f232,f233,f237,f235,f238,f245,f246,f247,f241,f243,f253,f251,f242,f23,f17,f373,f372,f21,f386,f494,f498,f500,f499,f57,f618,f626,f616,f700,f691,f707,f723,f709,f706,f848,f703,f850,f688,f629,f624,f621,f617,f615,f389,f905,f908,f598]) ).

fof(f598,plain,
    ( identity != sk_c6
    | spl0_11 ),
    inference(avatar_component_clause,[],[f597]) ).

fof(f908,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10 ),
    inference(subsumption_resolution,[],[f907,f389]) ).

fof(f907,plain,
    ( identity = sk_c7
    | identity = sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f906,f243]) ).

fof(f906,plain,
    ( identity = sk_c6
    | multiply(sk_c1,sk_c8) = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f864,f243]) ).

fof(f864,plain,
    ( multiply(sk_c1,sk_c8) = sk_c6
    | multiply(sk_c1,sk_c8) = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f8,f499]) ).

fof(f848,plain,
    ( identity = multiply(inverse(sk_c7),sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f719,f38]) ).

fof(f719,plain,
    ( identity = multiply(inverse(inverse(sk_c8)),sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f705,f499]) ).

fof(f499,plain,
    ( sk_c1 = sk_c5
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f496,f233]) ).

fof(f496,plain,
    ( sk_c5 = multiply(sk_c7,identity)
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(superposition,[],[f60,f494]) ).

fof(f498,plain,
    ( sk_c1 = sk_c5
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f495,f241]) ).

fof(f495,plain,
    ( sk_c5 = multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(superposition,[],[f242,f494]) ).

fof(f903,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f902]) ).

fof(f902,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_10
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f901,f891]) ).

fof(f901,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f900,f243]) ).

fof(f900,plain,
    ( sk_c8 = multiply(sk_c1,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f863,f880]) ).

fof(f863,plain,
    ( sk_c8 = multiply(sk_c1,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_10 ),
    inference(global_subsumption,[],[f22,f16,f4,f30,f1,f2,f10,f38,f40,f3,f60,f63,f20,f19,f18,f8,f7,f6,f26,f25,f24,f14,f13,f12,f9,f5,f27,f15,f11,f34,f232,f233,f237,f235,f238,f245,f246,f247,f241,f243,f253,f251,f242,f23,f17,f373,f263,f374,f378,f380,f379,f372,f21,f389,f504,f507,f505,f511,f509,f515,f493,f57,f618,f626,f616,f700,f691,f707,f723,f709,f706,f849,f703,f850,f688,f629,f624,f621,f617,f615,f862]) ).

fof(f862,plain,
    ( sk_c8 = multiply(sk_c1,sk_c7)
    | sk_c8 = multiply(sk_c2,sk_c3)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f18,f379]) ).

fof(f849,plain,
    ( identity = multiply(inverse(sk_c7),sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f715,f38]) ).

fof(f715,plain,
    ( identity = multiply(inverse(inverse(sk_c8)),sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f704,f379]) ).

fof(f704,plain,
    ( identity = multiply(inverse(inverse(sk_c8)),sk_c4)
    | ~ spl0_7 ),
    inference(superposition,[],[f691,f263]) ).

fof(f493,plain,
    ( identity = sk_c7
    | sk_c8 = multiply(sk_c1,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f492,f243]) ).

fof(f492,plain,
    ( sk_c8 = multiply(sk_c1,sk_c7)
    | multiply(sk_c1,sk_c8) = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f6,f379]) ).

fof(f515,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c7,multiply(sk_c1,X0))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_10 ),
    inference(forward_demodulation,[],[f514,f238]) ).

fof(f514,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c7,multiply(sk_c7,X0))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_10 ),
    inference(superposition,[],[f3,f509]) ).

fof(f509,plain,
    ( sk_c8 = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_10 ),
    inference(superposition,[],[f60,f505]) ).

fof(f511,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c8,X0)) = multiply(sk_c1,X0)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_10 ),
    inference(forward_demodulation,[],[f510,f238]) ).

fof(f510,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c8,X0))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_10 ),
    inference(superposition,[],[f3,f505]) ).

fof(f505,plain,
    ( sk_c7 = multiply(sk_c8,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_10 ),
    inference(superposition,[],[f235,f504]) ).

fof(f507,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c1,multiply(sk_c1,X0))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_10 ),
    inference(forward_demodulation,[],[f506,f238]) ).

fof(f506,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c1,multiply(sk_c7,X0))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_10 ),
    inference(superposition,[],[f3,f504]) ).

fof(f504,plain,
    ( sk_c8 = multiply(sk_c1,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_10 ),
    inference(subsumption_resolution,[],[f493,f389]) ).

fof(f379,plain,
    ( sk_c1 = sk_c4
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f376,f233]) ).

fof(f376,plain,
    ( sk_c4 = multiply(sk_c7,identity)
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(superposition,[],[f60,f374]) ).

fof(f378,plain,
    ( sk_c1 = sk_c4
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f375,f241]) ).

fof(f375,plain,
    ( sk_c4 = multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(superposition,[],[f242,f374]) ).

fof(f879,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_8
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f878]) ).

fof(f878,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_8
    | spl0_10
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f877,f875]) ).

fof(f875,plain,
    ( identity != sk_c8
    | ~ spl0_1
    | ~ spl0_2
    | spl0_8
    | spl0_10
    | ~ spl0_11 ),
    inference(superposition,[],[f389,f853]) ).

fof(f853,plain,
    ( sk_c8 = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | spl0_8
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f680,f266]) ).

fof(f680,plain,
    ( sk_c8 = sk_c7
    | sk_c3 = inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f679,f251]) ).

fof(f679,plain,
    ( sk_c7 = multiply(sk_c8,identity)
    | sk_c3 = inverse(sk_c2)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f25,f599]) ).

fof(f877,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_8
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f876,f243]) ).

fof(f876,plain,
    ( sk_c8 = multiply(sk_c1,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_8
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f852,f853]) ).

fof(f852,plain,
    ( sk_c8 = multiply(sk_c1,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f851,f379]) ).

fof(f851,plain,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | spl0_8 ),
    inference(subsumption_resolution,[],[f24,f266]) ).

fof(f847,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f846]) ).

fof(f846,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f845,f545]) ).

fof(f545,plain,
    ( identity = inverse(identity)
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f535,f390]) ).

fof(f535,plain,
    ( sk_c7 = inverse(identity)
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(superposition,[],[f38,f406]) ).

fof(f406,plain,
    ( identity = sk_c8
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(superposition,[],[f392,f1]) ).

fof(f392,plain,
    ( identity = multiply(identity,sk_c8)
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(superposition,[],[f40,f390]) ).

fof(f845,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f844,f390]) ).

fof(f844,plain,
    ( identity != inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f843,f1]) ).

fof(f843,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f816,f396]) ).

fof(f396,plain,
    ( identity = sk_c1
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f394,f1]) ).

fof(f394,plain,
    ( sk_c1 = multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(superposition,[],[f233,f390]) ).

fof(f816,plain,
    ( identity != multiply(sk_c1,identity)
    | identity != inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(superposition,[],[f808,f238]) ).

fof(f808,plain,
    ( ! [X3] :
        ( identity != multiply(X3,identity)
        | identity != inverse(X3) )
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f807,f390]) ).

fof(f807,plain,
    ( ! [X3] :
        ( sk_c7 != multiply(X3,identity)
        | identity != inverse(X3) )
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f806,f406]) ).

fof(f806,plain,
    ( ! [X3] :
        ( identity != inverse(X3)
        | sk_c7 != multiply(X3,sk_c8) )
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f96,f406]) ).

fof(f96,plain,
    ( ! [X3] :
        ( sk_c8 != inverse(X3)
        | sk_c7 != multiply(X3,sk_c8) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f95]) ).

fof(f95,plain,
    ( spl0_5
  <=> ! [X3] :
        ( sk_c8 != inverse(X3)
        | sk_c7 != multiply(X3,sk_c8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f842,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f841]) ).

fof(f841,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f840,f545]) ).

fof(f840,plain,
    ( identity != inverse(identity)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f839,f545]) ).

fof(f839,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f838,f545]) ).

fof(f838,plain,
    ( identity != inverse(inverse(inverse(identity)))
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f818,f545]) ).

fof(f818,plain,
    ( identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f815]) ).

fof(f815,plain,
    ( identity != identity
    | identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(superposition,[],[f808,f691]) ).

fof(f837,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f836]) ).

fof(f836,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f835,f545]) ).

fof(f835,plain,
    ( identity != inverse(identity)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f819,f545]) ).

fof(f819,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f814]) ).

fof(f814,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(superposition,[],[f808,f2]) ).

fof(f834,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f833]) ).

fof(f833,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f820,f545]) ).

fof(f820,plain,
    ( identity != inverse(identity)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f813]) ).

fof(f813,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(superposition,[],[f808,f1]) ).

fof(f832,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f831]) ).

fof(f831,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f830,f545]) ).

fof(f830,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f829,f390]) ).

fof(f829,plain,
    ( identity != inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f812,f396]) ).

fof(f812,plain,
    ( identity != sk_c1
    | identity != inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(superposition,[],[f808,f233]) ).

fof(f828,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f827]) ).

fof(f827,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f826,f545]) ).

fof(f826,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f825,f406]) ).

fof(f825,plain,
    ( identity != inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f811,f406]) ).

fof(f811,plain,
    ( identity != sk_c8
    | identity != inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(superposition,[],[f808,f251]) ).

fof(f824,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f823]) ).

fof(f823,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f822,f545]) ).

fof(f822,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f821,f396]) ).

fof(f821,plain,
    ( identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f810,f396]) ).

fof(f810,plain,
    ( identity != sk_c1
    | identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(superposition,[],[f808,f241]) ).

fof(f805,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f804]) ).

fof(f804,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f803,f1]) ).

fof(f803,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f802,f396]) ).

fof(f802,plain,
    ( identity != multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f801,f545]) ).

fof(f801,plain,
    ( identity != multiply(sk_c1,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f779,f390]) ).

fof(f779,plain,
    ( identity != multiply(sk_c1,inverse(sk_c7))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(superposition,[],[f772,f238]) ).

fof(f772,plain,
    ( ! [X4] : identity != multiply(X4,inverse(X4))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f90,f406]) ).

fof(f90,plain,
    ( ! [X4] : sk_c8 != multiply(X4,inverse(X4))
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f89]) ).

fof(f89,plain,
    ( spl0_3
  <=> ! [X4] : sk_c8 != multiply(X4,inverse(X4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f800,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f799]) ).

fof(f799,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f778,f545]) ).

fof(f778,plain,
    ( identity != inverse(identity)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(superposition,[],[f772,f1]) ).

fof(f798,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f797]) ).

fof(f797,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f796,f1]) ).

fof(f796,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f795,f396]) ).

fof(f795,plain,
    ( identity != multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f794,f499]) ).

fof(f794,plain,
    ( identity != multiply(sk_c5,identity)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f777,f406]) ).

fof(f777,plain,
    ( identity != multiply(sk_c5,sk_c8)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f772,f386]) ).

fof(f793,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f792]) ).

fof(f792,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f791,f1]) ).

fof(f791,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f790,f396]) ).

fof(f790,plain,
    ( identity != multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f789,f379]) ).

fof(f789,plain,
    ( identity != multiply(sk_c4,identity)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f776,f406]) ).

fof(f776,plain,
    ( identity != multiply(sk_c4,sk_c8)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(superposition,[],[f772,f263]) ).

fof(f788,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f787]) ).

fof(f787,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f786,f1]) ).

fof(f786,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f785,f406]) ).

fof(f785,plain,
    ( identity != multiply(sk_c8,identity)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f775,f390]) ).

fof(f775,plain,
    ( identity != multiply(sk_c8,sk_c7)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(superposition,[],[f772,f38]) ).

fof(f784,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f783]) ).

fof(f783,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f774,f243]) ).

fof(f774,plain,
    ( identity != multiply(sk_c1,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(superposition,[],[f772,f34]) ).

fof(f782,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f781]) ).

fof(f781,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f773,f1]) ).

fof(f773,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(superposition,[],[f772,f545]) ).

fof(f771,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f770]) ).

fof(f770,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f769,f545]) ).

fof(f769,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f768,f390]) ).

fof(f768,plain,
    ( identity != inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f767,f1]) ).

fof(f767,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f766,f396]) ).

fof(f766,plain,
    ( identity != multiply(identity,sk_c1)
    | identity != inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f734,f241]) ).

fof(f734,plain,
    ( identity != multiply(identity,multiply(sk_c1,identity))
    | identity != inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(superposition,[],[f726,f238]) ).

fof(f726,plain,
    ( ! [X8] :
        ( identity != multiply(identity,multiply(X8,identity))
        | identity != inverse(X8) )
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f725,f390]) ).

fof(f725,plain,
    ( ! [X8] :
        ( sk_c7 != multiply(identity,multiply(X8,identity))
        | identity != inverse(X8) )
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f724,f406]) ).

fof(f724,plain,
    ( ! [X8] :
        ( identity != inverse(X8)
        | sk_c7 != multiply(sk_c8,multiply(X8,sk_c8)) )
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f99,f406]) ).

fof(f99,plain,
    ( ! [X8] :
        ( sk_c8 != inverse(X8)
        | sk_c7 != multiply(sk_c8,multiply(X8,sk_c8)) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f98]) ).

fof(f98,plain,
    ( spl0_6
  <=> ! [X8] :
        ( sk_c8 != inverse(X8)
        | sk_c7 != multiply(sk_c8,multiply(X8,sk_c8)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f765,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f764]) ).

fof(f764,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f763,f545]) ).

fof(f763,plain,
    ( identity != inverse(identity)
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f762,f545]) ).

fof(f762,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f761,f545]) ).

fof(f761,plain,
    ( identity != inverse(inverse(inverse(identity)))
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f760,f545]) ).

fof(f760,plain,
    ( identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f733,f1]) ).

fof(f733,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(superposition,[],[f726,f691]) ).

fof(f759,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f758]) ).

fof(f758,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f757,f545]) ).

fof(f757,plain,
    ( identity != inverse(identity)
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f756,f545]) ).

fof(f756,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f732,f1]) ).

fof(f732,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(inverse(identity))
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(superposition,[],[f726,f2]) ).

fof(f755,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f754]) ).

fof(f754,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f753,f545]) ).

fof(f753,plain,
    ( identity != inverse(identity)
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f731,f1]) ).

fof(f731,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(identity)
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(superposition,[],[f726,f1]) ).

fof(f752,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f751]) ).

fof(f751,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f750,f545]) ).

fof(f750,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f749,f390]) ).

fof(f749,plain,
    ( identity != inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f748,f1]) ).

fof(f748,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f730,f396]) ).

fof(f730,plain,
    ( identity != multiply(identity,sk_c1)
    | identity != inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(superposition,[],[f726,f233]) ).

fof(f747,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f746]) ).

fof(f746,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f745,f545]) ).

fof(f745,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f744,f406]) ).

fof(f744,plain,
    ( identity != inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f743,f1]) ).

fof(f743,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f729,f406]) ).

fof(f729,plain,
    ( identity != multiply(identity,sk_c8)
    | identity != inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(superposition,[],[f726,f251]) ).

fof(f742,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f741]) ).

fof(f741,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f740,f545]) ).

fof(f740,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f739,f396]) ).

fof(f739,plain,
    ( identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f738,f1]) ).

fof(f738,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f728,f396]) ).

fof(f728,plain,
    ( identity != multiply(identity,sk_c1)
    | identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(superposition,[],[f726,f241]) ).

fof(f673,plain,
    ( ~ spl0_8
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f672]) ).

fof(f672,plain,
    ( $false
    | ~ spl0_8
    | spl0_12 ),
    inference(subsumption_resolution,[],[f665,f602]) ).

fof(f665,plain,
    ( identity = multiply(sk_c2,sk_c3)
    | ~ spl0_8 ),
    inference(superposition,[],[f2,f625]) ).

fof(f625,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(sk_c3),X0)
    | ~ spl0_8 ),
    inference(superposition,[],[f57,f271]) ).

fof(f271,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c2,X0)) = X0
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f270,f1]) ).

fof(f270,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c3,multiply(sk_c2,X0))
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f269]) ).

fof(f269,plain,
    ( identity = multiply(sk_c3,sk_c2)
    | ~ spl0_8 ),
    inference(superposition,[],[f2,f267]) ).

fof(f671,plain,
    ( ~ spl0_8
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f670]) ).

fof(f670,plain,
    ( $false
    | ~ spl0_8
    | spl0_12 ),
    inference(subsumption_resolution,[],[f662,f602]) ).

fof(f662,plain,
    ( identity = multiply(sk_c2,sk_c3)
    | ~ spl0_8 ),
    inference(superposition,[],[f625,f2]) ).

fof(f604,plain,
    ( spl0_11
    | spl0_12
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f595,f388,f36,f601,f597]) ).

fof(f595,plain,
    ( identity = multiply(sk_c2,sk_c3)
    | identity = sk_c6
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f594,f406]) ).

fof(f594,plain,
    ( identity = sk_c6
    | sk_c8 = multiply(sk_c2,sk_c3)
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f593,f390]) ).

fof(f593,plain,
    ( sk_c7 = sk_c6
    | sk_c8 = multiply(sk_c2,sk_c3)
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f592,f1]) ).

fof(f592,plain,
    ( sk_c7 = multiply(identity,sk_c6)
    | sk_c8 = multiply(sk_c2,sk_c3)
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f19,f406]) ).

fof(f525,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_7
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f524]) ).

fof(f524,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_7
    | spl0_10 ),
    inference(subsumption_resolution,[],[f523,f34]) ).

fof(f523,plain,
    ( sk_c8 != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_7
    | spl0_10 ),
    inference(trivial_inequality_removal,[],[f516]) ).

fof(f516,plain,
    ( sk_c8 != sk_c8
    | sk_c8 != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_7
    | spl0_10 ),
    inference(superposition,[],[f93,f504]) ).

fof(f93,plain,
    ( ! [X6] :
        ( sk_c8 != multiply(X6,sk_c7)
        | sk_c8 != inverse(X6) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f92]) ).

fof(f92,plain,
    ( spl0_4
  <=> ! [X6] :
        ( sk_c8 != inverse(X6)
        | sk_c8 != multiply(X6,sk_c7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f491,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f490]) ).

fof(f490,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f489,f406]) ).

fof(f489,plain,
    ( identity != sk_c8
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(superposition,[],[f469,f398]) ).

fof(f398,plain,
    ( sk_c8 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(superposition,[],[f34,f396]) ).

fof(f469,plain,
    ( identity != inverse(identity)
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f464]) ).

fof(f464,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(superposition,[],[f458,f1]) ).

fof(f458,plain,
    ( ! [X6] :
        ( identity != multiply(X6,identity)
        | identity != inverse(X6) )
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f457,f406]) ).

fof(f457,plain,
    ( ! [X6] :
        ( sk_c8 != multiply(X6,identity)
        | identity != inverse(X6) )
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f456,f390]) ).

fof(f456,plain,
    ( ! [X6] :
        ( identity != inverse(X6)
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f93,f406]) ).

fof(f391,plain,
    ( spl0_9
    | spl0_10
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f372,f36,f32,f388,f384]) ).

fof(f371,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f370]) ).

fof(f370,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_7 ),
    inference(subsumption_resolution,[],[f369,f290]) ).

fof(f369,plain,
    ( identity != sk_c8
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_7 ),
    inference(superposition,[],[f353,f282]) ).

fof(f353,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_7 ),
    inference(trivial_inequality_removal,[],[f348]) ).

fof(f348,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_7 ),
    inference(superposition,[],[f342,f1]) ).

fof(f342,plain,
    ( ! [X6] :
        ( identity != multiply(X6,identity)
        | identity != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_7 ),
    inference(forward_demodulation,[],[f341,f290]) ).

fof(f341,plain,
    ( ! [X6] :
        ( sk_c8 != multiply(X6,identity)
        | identity != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_7 ),
    inference(forward_demodulation,[],[f340,f275]) ).

fof(f340,plain,
    ( ! [X6] :
        ( identity != inverse(X6)
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_7 ),
    inference(forward_demodulation,[],[f93,f290]) ).

fof(f268,plain,
    ( spl0_7
    | spl0_8 ),
    inference(avatar_split_clause,[],[f23,f265,f261]) ).

fof(f231,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f230]) ).

fof(f230,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f229,f127]) ).

fof(f229,plain,
    ( identity != inverse(identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f220,f127]) ).

fof(f220,plain,
    ( identity != inverse(inverse(identity))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f218]) ).

fof(f218,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(superposition,[],[f210,f2]) ).

fof(f210,plain,
    ( ! [X6] :
        ( identity != multiply(X6,identity)
        | identity != inverse(X6) )
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f209,f106]) ).

fof(f209,plain,
    ( ! [X6] :
        ( sk_c8 != multiply(X6,sk_c8)
        | identity != inverse(X6) )
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f208,f102]) ).

fof(f208,plain,
    ( ! [X6] :
        ( identity != inverse(X6)
        | sk_c8 != multiply(X6,sk_c7) )
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f93,f106]) ).

fof(f228,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f227]) ).

fof(f227,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f221,f127]) ).

fof(f221,plain,
    ( identity != inverse(identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f217]) ).

fof(f217,plain,
    ( identity != identity
    | identity != inverse(identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(superposition,[],[f210,f1]) ).

fof(f226,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f225]) ).

fof(f225,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f224,f127]) ).

fof(f224,plain,
    ( identity != inverse(identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f223,f106]) ).

fof(f223,plain,
    ( identity != inverse(sk_c8)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f222,f102]) ).

fof(f222,plain,
    ( identity != inverse(sk_c7)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f216,f154]) ).

fof(f216,plain,
    ( identity != sk_c4
    | identity != inverse(sk_c7)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(superposition,[],[f210,f64]) ).

fof(f207,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_contradiction_clause,[],[f206]) ).

fof(f206,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f189,f127]) ).

fof(f189,plain,
    ( identity != inverse(identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f175,f1]) ).

fof(f175,plain,
    ( ! [X4] : identity != multiply(X4,inverse(X4))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f90,f106]) ).

fof(f205,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_contradiction_clause,[],[f204]) ).

fof(f204,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f203,f1]) ).

fof(f203,plain,
    ( identity != multiply(identity,identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f202,f154]) ).

fof(f202,plain,
    ( identity != multiply(sk_c4,identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f201,f72]) ).

fof(f201,plain,
    ( identity != multiply(sk_c5,identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f188,f106]) ).

fof(f188,plain,
    ( identity != multiply(sk_c5,sk_c8)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f175,f43]) ).

fof(f200,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_contradiction_clause,[],[f199]) ).

fof(f199,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f198,f1]) ).

fof(f198,plain,
    ( identity != multiply(identity,identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f197,f154]) ).

fof(f197,plain,
    ( identity != multiply(sk_c4,identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f187,f106]) ).

fof(f187,plain,
    ( identity != multiply(sk_c4,sk_c8)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f175,f41]) ).

fof(f196,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_contradiction_clause,[],[f195]) ).

fof(f195,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f194,f1]) ).

fof(f194,plain,
    ( identity != multiply(identity,identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f193,f106]) ).

fof(f193,plain,
    ( identity != multiply(sk_c8,sk_c8)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f186,f102]) ).

fof(f186,plain,
    ( identity != multiply(sk_c8,sk_c7)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f175,f38]) ).

fof(f192,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_contradiction_clause,[],[f191]) ).

fof(f191,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f185,f1]) ).

fof(f185,plain,
    ( identity != multiply(identity,identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f175,f127]) ).

fof(f100,plain,
    ( spl0_3
    | spl0_4
    | spl0_5
    | spl0_6
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f63,f36,f98,f95,f92,f89]) ).

fof(f39,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f10,f36,f32]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : GRP213-1 : TPTP v8.2.0. Released v2.5.0.
% 0.03/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34  % Computer : n023.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Sun May 19 04:09:53 EDT 2024
% 0.14/0.34  % CPUTime    : 
% 0.14/0.35  % (4955)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.36  % (4958)WARNING: value z3 for option sas not known
% 0.20/0.36  % (4962)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)
% 0.20/0.36  % (4956)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.36  % (4959)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.36  % (4957)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.36  % (4960)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)
% 0.20/0.36  % (4958)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)
% 0.20/0.36  % (4961)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)
% 0.20/0.37  TRYING [1]
% 0.20/0.37  TRYING [2]
% 0.20/0.37  TRYING [1]
% 0.20/0.37  TRYING [3]
% 0.20/0.37  TRYING [2]
% 0.20/0.38  TRYING [3]
% 0.20/0.38  TRYING [4]
% 0.20/0.39  TRYING [5]
% 0.20/0.40  TRYING [4]
% 0.20/0.40  % (4958)First to succeed.
% 0.20/0.41  % (4958)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4955"
% 0.20/0.41  % (4958)Refutation found. Thanks to Tanya!
% 0.20/0.41  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.41  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.42  % (4958)------------------------------
% 0.20/0.42  % (4958)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.42  % (4958)Termination reason: Refutation
% 0.20/0.42  
% 0.20/0.42  % (4958)Memory used [KB]: 1216
% 0.20/0.42  % (4958)Time elapsed: 0.050 s
% 0.20/0.42  % (4958)Instructions burned: 88 (million)
% 0.20/0.42  % (4955)Success in time 0.07 s
%------------------------------------------------------------------------------