%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GRP230-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n015.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Apr 30 11:53:49 EDT 2024

% Result   : Unsatisfiable 0.18s 0.42s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
fof(f1387,plain,
    $false,
    inference(avatar_sat_refutation,[],[f39,f76,f144,f180,f194,f216,f229,f240,f249,f311,f317,f370,f377,f385,f403,f411,f480,f555,f559,f610,f672,f677,f683,f689,f694,f698,f767,f774,f776,f780,f787,f790,f830,f833,f884,f888,f891,f896,f905,f909,f913,f948,f952,f987,f999,f1008,f1010,f1012,f1014,f1018,f1020,f1022,f1024,f1026,f1028,f1030,f1032,f1034,f1036,f1038,f1040,f1042,f1044,f1047,f1050,f1106,f1113,f1118,f1122,f1126,f1132,f1142,f1148,f1151,f1154,f1157,f1161,f1166,f1170,f1173,f1175,f1177,f1184,f1194,f1197,f1200,f1203,f1206,f1209,f1212,f1215,f1218,f1222,f1225,f1227,f1231,f1303,f1314,f1316,f1318,f1320,f1322,f1324,f1326,f1328,f1330,f1332,f1334,f1336,f1338,f1340,f1342,f1344,f1346,f1348,f1350,f1352,f1354,f1356,f1358,f1360,f1362,f1364,f1366,f1368,f1370,f1372,f1374,f1376,f1378,f1380,f1382,f1384,f1386]) ).

fof(f1386,plain,
    ( spl0_1
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1385]) ).

fof(f1385,plain,
    ( $false
    | spl0_1
    | spl0_10 ),
    inference(global_subsumption,[],[f23,f1,f2,f5,f42,f43,f44,f45,f46,f3,f52,f53,f54,f30,f60,f78,f82,f83,f81,f84,f87,f50,f106,f116,f113,f118,f121,f112,f126,f123,f129,f131,f27,f10,f11,f17,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f1002,f513,f13,f12,f14,f15,f228,f9,f21,f20,f6,f7,f26,f25,f24,f18,f19,f16,f22,f4,f8,f41,f33]) ).

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

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

fof(f41,plain,
    ( sk_c8 = inverse(sk_c5)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f9,f33]) ).

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

fof(f4,axiom,
    ( inverse(sk_c1) = sk_c8
    | sk_c8 = multiply(sk_c3,sk_c4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).

fof(f22,axiom,
    ( sk_c7 = inverse(sk_c2)
    | sk_c8 = multiply(sk_c3,sk_c4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).

fof(f16,axiom,
    ( sk_c8 = multiply(sk_c3,sk_c4)
    | sk_c8 = multiply(sk_c2,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).

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

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

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

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

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

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

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

fof(f20,axiom,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | sk_c8 = multiply(sk_c2,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).

fof(f21,axiom,
    ( sk_c8 = inverse(sk_c5)
    | sk_c8 = multiply(sk_c2,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).

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

fof(f228,plain,
    ( sk_c8 != sk_c7
    | spl0_10 ),
    inference(avatar_component_clause,[],[f226]) ).

fof(f226,plain,
    ( spl0_10
  <=> sk_c8 = sk_c7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f15,axiom,
    ( sk_c8 = inverse(sk_c5)
    | sk_c8 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).

fof(f14,axiom,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | sk_c8 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).

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

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

fof(f513,plain,
    ! [X0] : multiply(inverse(identity),X0) = X0,
    inference(superposition,[],[f56,f1]) ).

fof(f1002,plain,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f8,f33]) ).

fof(f858,plain,
    identity = inverse(identity),
    inference(superposition,[],[f843,f514]) ).

fof(f861,plain,
    identity = inverse(identity),
    inference(superposition,[],[f514,f843]) ).

fof(f869,plain,
    ! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f860,f1]) ).

fof(f860,plain,
    ! [X0,X1] : multiply(identity,X1) = multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)),
    inference(superposition,[],[f3,f843]) ).

fof(f859,plain,
    ! [X0] : multiply(inverse(inverse(inverse(inverse(X0)))),identity) = X0,
    inference(superposition,[],[f56,f843]) ).

fof(f843,plain,
    ! [X0] : identity = multiply(inverse(inverse(inverse(X0))),X0),
    inference(superposition,[],[f56,f514]) ).

fof(f852,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
    inference(forward_demodulation,[],[f844,f1]) ).

fof(f844,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),multiply(identity,X1)),
    inference(superposition,[],[f3,f514]) ).

fof(f514,plain,
    ! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[],[f56,f2]) ).

fof(f526,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
    inference(superposition,[],[f56,f56]) ).

fof(f517,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
    inference(superposition,[],[f56,f3]) ).

fof(f56,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f48,f1]) ).

fof(f48,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[],[f3,f2]) ).

fof(f17,axiom,
    ( sk_c4 = inverse(sk_c3)
    | sk_c8 = multiply(sk_c2,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).

fof(f11,axiom,
    ( sk_c4 = inverse(sk_c3)
    | sk_c8 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).

fof(f10,axiom,
    ( sk_c8 = multiply(sk_c3,sk_c4)
    | sk_c8 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).

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

fof(f131,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c6,multiply(sk_c5,X0))) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f130,f1]) ).

fof(f130,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c6,multiply(sk_c5,X0)))
    | spl0_1 ),
    inference(forward_demodulation,[],[f128,f3]) ).

fof(f128,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(multiply(sk_c6,sk_c5),X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f123]) ).

fof(f129,plain,
    ( multiply(sk_c6,sk_c5) = multiply(sk_c6,multiply(sk_c6,sk_c5))
    | spl0_1 ),
    inference(forward_demodulation,[],[f127,f112]) ).

fof(f127,plain,
    ( multiply(sk_c5,identity) = multiply(sk_c6,multiply(sk_c6,sk_c5))
    | spl0_1 ),
    inference(superposition,[],[f50,f123]) ).

fof(f123,plain,
    ( identity = multiply(sk_c8,multiply(sk_c6,sk_c5))
    | spl0_1 ),
    inference(superposition,[],[f60,f112]) ).

fof(f126,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,multiply(sk_c5,X0))
    | spl0_1 ),
    inference(forward_demodulation,[],[f125,f1]) ).

fof(f125,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c5,X0)) = multiply(sk_c5,multiply(identity,X0))
    | spl0_1 ),
    inference(forward_demodulation,[],[f124,f3]) ).

fof(f124,plain,
    ( ! [X0] : multiply(sk_c5,multiply(identity,X0)) = multiply(multiply(sk_c6,sk_c5),X0)
    | spl0_1 ),
    inference(superposition,[],[f3,f112]) ).

fof(f112,plain,
    ( multiply(sk_c5,identity) = multiply(sk_c6,sk_c5)
    | spl0_1 ),
    inference(superposition,[],[f50,f42]) ).

fof(f121,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c6,multiply(sk_c6,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f118]) ).

fof(f118,plain,
    ( sk_c6 = multiply(sk_c6,sk_c6)
    | spl0_1 ),
    inference(forward_demodulation,[],[f117,f46]) ).

fof(f117,plain,
    ( multiply(sk_c5,sk_c8) = multiply(sk_c6,sk_c6)
    | spl0_1 ),
    inference(forward_demodulation,[],[f111,f81]) ).

fof(f111,plain,
    ( multiply(sk_c6,sk_c6) = multiply(sk_c5,sk_c7)
    | spl0_1 ),
    inference(superposition,[],[f50,f45]) ).

fof(f113,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c6,X0))
    | spl0_1 ),
    inference(superposition,[],[f60,f50]) ).

fof(f116,plain,
    ( sk_c6 = multiply(sk_c6,sk_c6)
    | spl0_1 ),
    inference(forward_demodulation,[],[f110,f46]) ).

fof(f110,plain,
    ( multiply(sk_c5,sk_c8) = multiply(sk_c6,sk_c6)
    | spl0_1 ),
    inference(superposition,[],[f50,f78]) ).

fof(f106,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,multiply(sk_c5,X0))
    | spl0_1 ),
    inference(superposition,[],[f50,f60]) ).

fof(f50,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c8,X0)) = multiply(sk_c6,X0)
    | spl0_1 ),
    inference(superposition,[],[f3,f46]) ).

fof(f87,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c4,multiply(sk_c8,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f84]) ).

fof(f84,plain,
    ( sk_c8 = multiply(sk_c4,sk_c8)
    | spl0_1 ),
    inference(superposition,[],[f44,f81]) ).

fof(f81,plain,
    ( sk_c8 = sk_c7
    | spl0_1 ),
    inference(superposition,[],[f78,f45]) ).

fof(f83,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c6,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f78]) ).

fof(f82,plain,
    ( sk_c8 = sk_c7
    | spl0_1 ),
    inference(superposition,[],[f45,f78]) ).

fof(f78,plain,
    ( sk_c8 = multiply(sk_c8,sk_c6)
    | spl0_1 ),
    inference(superposition,[],[f60,f46]) ).

fof(f60,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f55,f1]) ).

fof(f55,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c5,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f42]) ).

fof(f30,plain,
    ! [X3,X8,X4,X5] :
      ( sk_c7 != inverse(X4)
      | sk_c8 != inverse(X8)
      | sk_c8 != inverse(X3)
      | sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
      | sk_c8 != multiply(inverse(X5),sk_c7)
      | sk_c8 != multiply(X4,sk_c7)
      | sk_c8 != multiply(X3,sk_c7)
      | sk_c8 != multiply(X5,inverse(X5)) ),
    inference(equality_resolution,[],[f29]) ).

fof(f29,plain,
    ! [X3,X8,X7,X4,X5] :
      ( sk_c7 != inverse(X4)
      | sk_c8 != inverse(X8)
      | sk_c8 != inverse(X3)
      | sk_c7 != multiply(sk_c8,X7)
      | sk_c8 != multiply(inverse(X5),sk_c7)
      | sk_c8 != multiply(X4,sk_c7)
      | sk_c8 != multiply(X3,sk_c7)
      | sk_c8 != multiply(X5,inverse(X5))
      | multiply(X8,sk_c8) != X7 ),
    inference(equality_resolution,[],[f28]) ).

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

fof(f54,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c6,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f45]) ).

fof(f53,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c4,multiply(sk_c7,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f44]) ).

fof(f52,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c3,multiply(sk_c4,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f43]) ).

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

fof(f46,plain,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f8,f33]) ).

fof(f45,plain,
    ( sk_c7 = multiply(sk_c8,sk_c6)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f7,f33]) ).

fof(f44,plain,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f6,f33]) ).

fof(f43,plain,
    ( sk_c8 = multiply(sk_c3,sk_c4)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f4,f33]) ).

fof(f42,plain,
    ( identity = multiply(sk_c8,sk_c5)
    | spl0_1 ),
    inference(superposition,[],[f2,f41]) ).

fof(f5,axiom,
    ( sk_c4 = inverse(sk_c3)
    | inverse(sk_c1) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).

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

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

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

fof(f1384,plain,
    ( spl0_1
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1383]) ).

fof(f1383,plain,
    ( $false
    | spl0_1
    | spl0_10 ),
    inference(global_subsumption,[],[f23,f1,f2,f5,f42,f43,f44,f45,f46,f3,f52,f53,f54,f30,f60,f78,f82,f83,f81,f84,f87,f50,f106,f116,f113,f118,f121,f112,f126,f123,f129,f131,f27,f10,f11,f17,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f33,f1002,f513,f13,f12,f14,f15,f228,f9,f21,f20,f6,f7,f26,f25,f24,f18,f19,f16,f22,f4,f8,f41]) ).

fof(f1382,plain,
    ( spl0_1
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1381]) ).

fof(f1381,plain,
    ( $false
    | spl0_1
    | spl0_10 ),
    inference(subsumption_resolution,[],[f81,f228]) ).

fof(f1380,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1379]) ).

fof(f1379,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f85,f23,f1,f2,f5,f41,f42,f43,f44,f45,f46,f3,f52,f53,f54,f30,f60,f78,f82,f83,f81,f84,f87,f50,f106,f116,f113,f118,f121,f112,f126,f123,f129,f131,f27,f10,f11,f17,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f33,f1002,f513,f13,f12,f14,f15,f228,f9,f21,f20,f6,f7,f26,f25,f24,f18,f19,f16,f22,f4,f8]) ).

fof(f85,plain,
    ( sk_c8 = sk_c4
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f84,f61]) ).

fof(f61,plain,
    ( sk_c4 = multiply(sk_c4,sk_c8)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f59,f43]) ).

fof(f59,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c3,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f51,f1]) ).

fof(f51,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c4,multiply(sk_c3,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f40]) ).

fof(f40,plain,
    ( identity = multiply(sk_c4,sk_c3)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f38]) ).

fof(f38,plain,
    ( sk_c4 = inverse(sk_c3)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f36]) ).

fof(f36,plain,
    ( spl0_2
  <=> sk_c4 = inverse(sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f1378,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1377]) ).

fof(f1377,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f964,f23,f1,f2,f5,f41,f42,f43,f44,f45,f46,f3,f52,f53,f54,f30,f60,f78,f82,f83,f81,f84,f87,f50,f106,f116,f113,f118,f121,f112,f126,f123,f129,f131,f27,f10,f11,f17,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f33,f1002,f513,f13,f12,f14,f15,f228,f9,f21,f20,f6,f7,f26,f25,f24,f18,f19,f16,f22,f4,f8]) ).

fof(f964,plain,
    ( sk_c8 = inverse(sk_c3)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f38,f85]) ).

fof(f1376,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1375]) ).

fof(f1375,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f982,f23,f1,f2,f5,f41,f42,f43,f44,f45,f46,f3,f52,f53,f54,f30,f60,f78,f82,f83,f81,f84,f87,f50,f106,f116,f113,f118,f121,f112,f126,f123,f129,f131,f27,f10,f11,f17,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f33,f1002,f513,f13,f12,f14,f15,f228,f9,f21,f20,f6,f7,f26,f25,f24,f18,f19,f16,f22,f4,f8]) ).

fof(f982,plain,
    ( sk_c8 = multiply(sk_c8,sk_c8)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f980,f964]) ).

fof(f980,plain,
    ( sk_c8 = multiply(inverse(sk_c3),sk_c8)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_14 ),
    inference(superposition,[],[f56,f973]) ).

fof(f973,plain,
    ( sk_c8 = multiply(sk_c3,sk_c8)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f248,f85]) ).

fof(f248,plain,
    ( sk_c8 = multiply(sk_c3,sk_c4)
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f246]) ).

fof(f246,plain,
    ( spl0_14
  <=> sk_c8 = multiply(sk_c3,sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f1374,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1373]) ).

fof(f1373,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f973,f23,f1,f2,f5,f41,f42,f43,f44,f45,f46,f3,f52,f53,f54,f30,f60,f78,f82,f83,f81,f84,f87,f50,f106,f116,f113,f118,f121,f112,f126,f123,f129,f131,f27,f10,f11,f17,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f33,f1002,f513,f13,f12,f14,f15,f228,f9,f21,f20,f6,f7,f26,f25,f24,f18,f19,f16,f22,f4,f8]) ).

fof(f1372,plain,
    ( spl0_1
    | ~ spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1371]) ).

fof(f1371,plain,
    ( $false
    | spl0_1
    | ~ spl0_6
    | spl0_10 ),
    inference(global_subsumption,[],[f75,f23,f1,f2,f5,f41,f42,f43,f44,f45,f46,f3,f52,f53,f54,f30,f60,f78,f82,f83,f81,f84,f87,f50,f106,f116,f113,f118,f121,f112,f126,f123,f129,f131,f27,f10,f11,f17,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f33,f1002,f513,f13,f12,f14,f15,f228,f9,f21,f20,f6,f7,f26,f25,f24,f18,f19,f16,f22,f4,f8]) ).

fof(f75,plain,
    ( ! [X4] :
        ( sk_c7 != inverse(X4)
        | sk_c8 != multiply(X4,sk_c7) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f74]) ).

fof(f74,plain,
    ( spl0_6
  <=> ! [X4] :
        ( sk_c7 != inverse(X4)
        | sk_c8 != multiply(X4,sk_c7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f1370,plain,
    ( spl0_1
    | spl0_10
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1369]) ).

fof(f1369,plain,
    ( $false
    | spl0_1
    | spl0_10
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f248,f23,f1,f2,f5,f41,f42,f43,f44,f45,f46,f3,f52,f53,f54,f30,f60,f78,f82,f83,f81,f84,f87,f50,f106,f116,f113,f118,f121,f112,f126,f123,f129,f131,f27,f10,f11,f17,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f33,f1002,f513,f13,f12,f14,f15,f228,f9,f21,f20,f6,f7,f26,f25,f24,f18,f19,f16,f22,f4,f8]) ).

fof(f1368,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1367]) ).

fof(f1367,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f250,f23,f1,f2,f5,f41,f42,f43,f44,f45,f46,f3,f52,f53,f54,f30,f60,f78,f82,f83,f81,f84,f87,f50,f106,f116,f113,f118,f121,f112,f126,f123,f129,f131,f27,f10,f11,f17,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f33,f1002,f513,f13,f12,f14,f15,f228,f9,f21,f20,f6,f7,f26,f25,f24,f18,f19,f16,f22,f4,f8]) ).

fof(f250,plain,
    ( sk_c4 = multiply(sk_c4,sk_c8)
    | ~ spl0_2
    | ~ spl0_14 ),
    inference(superposition,[],[f59,f248]) ).

fof(f1366,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1365]) ).

fof(f1365,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f258,f23,f1,f2,f5,f41,f42,f43,f44,f45,f46,f3,f52,f53,f54,f30,f60,f78,f82,f83,f81,f84,f87,f50,f106,f116,f113,f118,f121,f112,f126,f123,f129,f131,f27,f10,f11,f17,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f33,f1002,f513,f13,f12,f14,f15,f228,f9,f21,f20,f6,f7,f26,f25,f24,f18,f19,f16,f22,f4,f8]) ).

fof(f258,plain,
    ( sk_c8 = multiply(sk_c8,sk_c8)
    | ~ spl0_2
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f254,f248]) ).

fof(f254,plain,
    ( multiply(sk_c3,sk_c4) = multiply(sk_c8,sk_c8)
    | ~ spl0_2
    | ~ spl0_14 ),
    inference(superposition,[],[f251,f250]) ).

fof(f251,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c3,multiply(sk_c4,X0))
    | ~ spl0_14 ),
    inference(superposition,[],[f3,f248]) ).

fof(f1364,plain,
    ( spl0_1
    | spl0_10
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1363]) ).

fof(f1363,plain,
    ( $false
    | spl0_1
    | spl0_10
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f960,f23,f1,f2,f5,f41,f42,f43,f44,f45,f46,f3,f52,f53,f54,f30,f60,f78,f82,f83,f81,f84,f87,f50,f106,f116,f113,f118,f121,f112,f126,f123,f129,f131,f27,f10,f11,f17,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f33,f1002,f513,f13,f12,f14,f15,f228,f9,f21,f20,f6,f7,f26,f25,f24,f18,f19,f16,f22,f4,f8]) ).

fof(f960,plain,
    ( sk_c8 = multiply(sk_c3,sk_c4)
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f23,f1,f2,f5,f3,f30,f20,f19,f18,f16,f22,f8,f7,f6,f9,f27,f21,f15,f10,f251,f11,f17,f12,f13,f14,f329,f26,f25,f24,f56,f517,f526,f532,f514,f852,f843,f859,f869,f861,f858,f248,f4]) ).

fof(f532,plain,
    ( sk_c4 = multiply(inverse(sk_c3),sk_c8)
    | ~ spl0_14 ),
    inference(superposition,[],[f56,f248]) ).

fof(f329,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c3,multiply(sk_c4,X0))
    | ~ spl0_14 ),
    inference(superposition,[],[f3,f248]) ).

fof(f1362,plain,
    ( spl0_1
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1361]) ).

fof(f1361,plain,
    ( $false
    | spl0_1
    | spl0_10 ),
    inference(global_subsumption,[],[f23,f1,f2,f5,f41,f42,f43,f44,f45,f46,f3,f52,f53,f54,f30,f60,f78,f82,f83,f81,f84,f87,f50,f106,f116,f113,f118,f121,f112,f126,f123,f129,f131,f27,f10,f11,f17,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f33,f1002,f513,f13,f12,f14,f15,f228,f9,f21,f20,f6,f7,f26,f25,f24,f18,f19,f16,f22,f4,f8]) ).

fof(f1360,plain,
    ( spl0_1
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1359]) ).

fof(f1359,plain,
    ( $false
    | spl0_1
    | spl0_10 ),
    inference(global_subsumption,[],[f23,f1,f2,f5,f41,f42,f43,f44,f45,f46,f3,f52,f53,f54,f30,f60,f78,f82,f83,f81,f84,f87,f50,f106,f116,f113,f118,f121,f112,f126,f123,f129,f131,f27,f10,f11,f17,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f33,f1002,f513,f8,f13,f12,f14,f15,f228,f9,f21,f20,f6,f7,f26,f25,f24,f18,f19,f16,f22,f4]) ).

fof(f1358,plain,
    ( spl0_1
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1357]) ).

fof(f1357,plain,
    ( $false
    | spl0_1
    | spl0_10 ),
    inference(global_subsumption,[],[f23,f1,f2,f5,f41,f42,f43,f44,f45,f46,f3,f52,f53,f54,f30,f60,f78,f82,f83,f81,f84,f87,f50,f106,f116,f113,f118,f121,f112,f126,f123,f129,f131,f27,f10,f11,f17,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f33,f1002,f513,f8,f4,f13,f12,f14,f15,f228,f9,f21,f20,f6,f7,f26,f25,f24,f18,f19,f16,f22]) ).

fof(f1356,plain,
    ( spl0_1
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1355]) ).

fof(f1355,plain,
    ( $false
    | spl0_1
    | spl0_10 ),
    inference(global_subsumption,[],[f23,f1,f2,f5,f41,f42,f43,f44,f45,f46,f3,f52,f53,f54,f30,f60,f78,f82,f83,f81,f84,f87,f50,f106,f116,f113,f118,f121,f112,f126,f123,f129,f131,f27,f10,f11,f17,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f33,f1002,f513,f8,f4,f22,f13,f12,f14,f15,f228,f9,f21,f20,f6,f7,f26,f25,f24,f18,f19,f16]) ).

fof(f1354,plain,
    ( spl0_1
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1353]) ).

fof(f1353,plain,
    ( $false
    | spl0_1
    | spl0_10 ),
    inference(global_subsumption,[],[f23,f1,f2,f5,f41,f42,f43,f44,f45,f46,f3,f52,f53,f54,f30,f60,f78,f82,f83,f81,f84,f87,f50,f106,f116,f113,f118,f121,f112,f126,f123,f129,f131,f27,f10,f11,f17,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f33,f1002,f513,f8,f4,f22,f16,f13,f12,f14,f15,f228,f9,f21,f20,f6,f7,f26,f25,f24,f18,f19]) ).

fof(f1352,plain,
    ( spl0_1
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1351]) ).

fof(f1351,plain,
    ( $false
    | spl0_1
    | spl0_10 ),
    inference(global_subsumption,[],[f23,f1,f2,f5,f41,f42,f43,f44,f45,f46,f3,f52,f53,f54,f30,f60,f78,f82,f83,f81,f84,f87,f50,f106,f116,f113,f118,f121,f112,f126,f123,f129,f131,f27,f10,f11,f17,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f33,f1002,f513,f8,f4,f22,f16,f19,f13,f12,f14,f15,f228,f9,f21,f20,f6,f7,f26,f25,f24,f18]) ).

fof(f1350,plain,
    ( spl0_1
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1349]) ).

fof(f1349,plain,
    ( $false
    | spl0_1
    | spl0_10 ),
    inference(global_subsumption,[],[f23,f1,f2,f5,f41,f42,f43,f44,f45,f46,f3,f52,f53,f54,f30,f60,f78,f82,f83,f81,f84,f87,f50,f106,f116,f113,f118,f121,f112,f126,f123,f129,f131,f27,f10,f11,f17,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f33,f1002,f513,f8,f4,f22,f16,f19,f18,f13,f12,f14,f15,f228,f9,f21,f20,f6,f7,f26,f25,f24]) ).

fof(f1348,plain,
    ( spl0_1
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1347]) ).

fof(f1347,plain,
    ( $false
    | spl0_1
    | spl0_10 ),
    inference(global_subsumption,[],[f23,f1,f2,f5,f41,f42,f43,f44,f45,f46,f3,f52,f53,f54,f30,f60,f78,f82,f83,f81,f84,f87,f50,f106,f116,f113,f118,f121,f112,f126,f123,f129,f131,f27,f10,f11,f17,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f33,f1002,f513,f8,f4,f22,f16,f19,f18,f24,f13,f12,f14,f15,f228,f9,f21,f20,f6,f7,f26,f25]) ).

fof(f1346,plain,
    ( spl0_1
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1345]) ).

fof(f1345,plain,
    ( $false
    | spl0_1
    | spl0_10 ),
    inference(global_subsumption,[],[f23,f1,f2,f5,f41,f42,f43,f44,f45,f46,f3,f52,f53,f54,f30,f60,f78,f82,f83,f81,f84,f87,f50,f106,f116,f113,f118,f121,f112,f126,f123,f129,f131,f27,f10,f11,f17,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f33,f1002,f513,f8,f4,f22,f16,f19,f18,f24,f25,f13,f12,f14,f15,f228,f9,f21,f20,f6,f7,f26]) ).

fof(f1344,plain,
    ( spl0_1
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1343]) ).

fof(f1343,plain,
    ( $false
    | spl0_1
    | spl0_10 ),
    inference(global_subsumption,[],[f23,f1,f2,f5,f41,f42,f43,f44,f45,f46,f3,f52,f53,f54,f30,f60,f78,f82,f83,f81,f84,f87,f50,f106,f116,f113,f118,f121,f112,f126,f123,f129,f131,f27,f10,f11,f17,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f33,f1002,f513,f8,f4,f22,f16,f19,f18,f24,f25,f26,f13,f12,f14,f15,f228,f9,f21,f20,f6,f7]) ).

fof(f1342,plain,
    ( spl0_1
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1341]) ).

fof(f1341,plain,
    ( $false
    | spl0_1
    | spl0_10 ),
    inference(global_subsumption,[],[f23,f1,f2,f5,f41,f42,f43,f44,f45,f46,f3,f52,f53,f54,f30,f60,f78,f82,f83,f81,f84,f87,f50,f106,f116,f113,f118,f121,f112,f126,f123,f129,f131,f27,f10,f11,f17,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f33,f1002,f513,f8,f4,f22,f16,f19,f18,f24,f25,f26,f13,f12,f7,f14,f15,f228,f9,f21,f20,f6]) ).

fof(f1340,plain,
    ( spl0_1
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1339]) ).

fof(f1339,plain,
    ( $false
    | spl0_1
    | spl0_10 ),
    inference(global_subsumption,[],[f23,f1,f2,f5,f41,f42,f43,f44,f45,f46,f3,f52,f53,f54,f30,f60,f78,f82,f83,f81,f84,f87,f50,f106,f116,f113,f118,f121,f112,f126,f123,f129,f131,f27,f10,f11,f17,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f33,f1002,f513,f8,f4,f22,f16,f19,f18,f24,f25,f26,f13,f12,f7,f6,f14,f15,f228,f9,f21,f20]) ).

fof(f1338,plain,
    ( spl0_1
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1337]) ).

fof(f1337,plain,
    ( $false
    | spl0_1
    | spl0_10 ),
    inference(global_subsumption,[],[f23,f1,f2,f5,f41,f42,f43,f44,f45,f46,f3,f52,f53,f54,f30,f60,f78,f82,f83,f81,f84,f87,f50,f106,f116,f113,f118,f121,f112,f126,f123,f129,f131,f27,f10,f11,f17,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f33,f1002,f513,f8,f4,f22,f16,f19,f18,f24,f25,f26,f13,f12,f7,f6,f14,f20,f15,f228,f9,f21]) ).

fof(f1336,plain,
    ( spl0_1
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1335]) ).

fof(f1335,plain,
    ( $false
    | spl0_1
    | spl0_10 ),
    inference(global_subsumption,[],[f23,f1,f2,f5,f41,f42,f43,f44,f45,f46,f3,f52,f53,f54,f30,f60,f78,f82,f83,f81,f84,f87,f50,f106,f116,f113,f118,f121,f112,f126,f123,f129,f131,f27,f10,f11,f17,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f33,f1002,f513,f8,f4,f22,f16,f19,f18,f24,f25,f26,f13,f12,f7,f6,f14,f20,f15,f21,f228,f9]) ).

fof(f1334,plain,
    ( spl0_1
    | spl0_8
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1333]) ).

fof(f1333,plain,
    ( $false
    | spl0_1
    | spl0_8
    | spl0_10 ),
    inference(global_subsumption,[],[f192,f23,f1,f2,f5,f41,f42,f43,f44,f45,f46,f3,f52,f53,f54,f30,f60,f78,f82,f83,f81,f84,f87,f50,f106,f116,f113,f118,f121,f112,f126,f123,f129,f131,f27,f10,f11,f17,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f33,f1002,f513,f8,f4,f22,f16,f19,f18,f24,f25,f26,f13,f12,f7,f6,f14,f20,f15,f21,f9,f228]) ).

fof(f192,plain,
    ( sk_c7 != inverse(sk_c2)
    | spl0_8 ),
    inference(avatar_component_clause,[],[f191]) ).

fof(f191,plain,
    ( spl0_8
  <=> sk_c7 = inverse(sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f1332,plain,
    ( spl0_1
    | ~ spl0_7
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1331]) ).

fof(f1331,plain,
    ( $false
    | spl0_1
    | ~ spl0_7
    | spl0_10 ),
    inference(global_subsumption,[],[f189,f23,f1,f2,f5,f41,f42,f43,f44,f45,f46,f3,f52,f53,f54,f30,f60,f78,f82,f83,f81,f84,f87,f50,f106,f116,f113,f118,f121,f112,f126,f123,f129,f131,f27,f10,f11,f17,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f33,f1002,f513,f8,f4,f22,f16,f19,f18,f24,f25,f26,f13,f12,f7,f6,f14,f20,f15,f21,f9,f228]) ).

fof(f189,plain,
    ( sk_c8 = inverse(sk_c5)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f187]) ).

fof(f187,plain,
    ( spl0_7
  <=> sk_c8 = inverse(sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f1330,plain,
    ( spl0_1
    | spl0_10
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1329]) ).

fof(f1329,plain,
    ( $false
    | spl0_1
    | spl0_10
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f1258,f23,f1,f2,f5,f41,f42,f43,f44,f45,f46,f3,f52,f53,f54,f30,f60,f78,f82,f83,f81,f84,f87,f50,f106,f116,f113,f118,f121,f112,f126,f123,f129,f131,f27,f10,f11,f17,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f33,f1002,f513,f8,f4,f22,f16,f19,f18,f24,f25,f26,f13,f12,f7,f6,f14,f20,f15,f21,f9,f228]) ).

fof(f1258,plain,
    ( sk_c7 = multiply(inverse(sk_c1),sk_c8)
    | ~ spl0_13 ),
    inference(superposition,[],[f56,f244]) ).

fof(f244,plain,
    ( sk_c8 = multiply(sk_c1,sk_c7)
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f242]) ).

fof(f242,plain,
    ( spl0_13
  <=> sk_c8 = multiply(sk_c1,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f1328,plain,
    ( ~ spl0_7
    | spl0_8
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1327]) ).

fof(f1327,plain,
    ( $false
    | ~ spl0_7
    | spl0_8
    | spl0_14 ),
    inference(global_subsumption,[],[f189,f23,f1,f2,f5,f3,f30,f27,f10,f11,f17,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f513,f8,f1232,f4,f1233,f22,f16,f19,f1236,f18,f1237,f24,f25,f26,f13,f1241,f12,f1242,f7,f1243,f6,f1244,f14,f1245,f20,f1246,f15,f1247,f21,f1248,f9,f1249,f1059,f1054,f247,f1235,f1262,f1261,f1240,f1239,f1238,f1234,f192]) ).

fof(f1234,plain,
    ( sk_c7 = inverse(sk_c2)
    | spl0_14 ),
    inference(global_subsumption,[],[f23,f1,f2,f5,f3,f30,f20,f19,f18,f16,f7,f6,f9,f27,f21,f15,f10,f11,f17,f12,f13,f14,f26,f25,f24,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f513,f1054,f1059,f247,f8,f1232,f4,f1233,f22]) ).

fof(f1238,plain,
    ( sk_c7 = inverse(sk_c2)
    | spl0_14 ),
    inference(global_subsumption,[],[f23,f1,f2,f5,f3,f30,f20,f7,f6,f9,f27,f21,f15,f10,f11,f17,f12,f13,f14,f26,f25,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f513,f1054,f1059,f247,f8,f1232,f4,f1233,f22,f1234,f16,f1235,f19,f1236,f18,f1237,f24]) ).

fof(f1239,plain,
    ( sk_c7 = inverse(sk_c2)
    | spl0_14 ),
    inference(global_subsumption,[],[f23,f1,f2,f5,f3,f30,f20,f7,f6,f9,f27,f21,f15,f10,f11,f17,f12,f13,f14,f26,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f513,f1054,f1059,f247,f8,f1232,f4,f1233,f22,f1234,f16,f1235,f19,f1236,f18,f1237,f24,f1238,f25]) ).

fof(f1240,plain,
    ( sk_c7 = inverse(sk_c2)
    | spl0_14 ),
    inference(global_subsumption,[],[f23,f1,f2,f5,f3,f30,f20,f7,f6,f9,f27,f21,f15,f10,f11,f17,f12,f13,f14,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f513,f1054,f1059,f247,f8,f1232,f4,f1233,f22,f1234,f16,f1235,f19,f1236,f18,f1237,f24,f1238,f25,f1239,f26]) ).

fof(f1261,plain,
    ( sk_c7 = multiply(inverse(sk_c2),sk_c8)
    | spl0_14 ),
    inference(superposition,[],[f56,f1235]) ).

fof(f1262,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c2,multiply(sk_c7,X0))
    | spl0_14 ),
    inference(superposition,[],[f3,f1235]) ).

fof(f1235,plain,
    ( sk_c8 = multiply(sk_c2,sk_c7)
    | spl0_14 ),
    inference(global_subsumption,[],[f23,f1,f2,f5,f3,f30,f20,f19,f18,f7,f6,f9,f27,f21,f15,f10,f11,f17,f12,f13,f14,f26,f25,f24,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f513,f1054,f1059,f247,f8,f1232,f4,f1233,f22,f1234,f16]) ).

fof(f247,plain,
    ( sk_c8 != multiply(sk_c3,sk_c4)
    | spl0_14 ),
    inference(avatar_component_clause,[],[f246]) ).

fof(f1054,plain,
    ( inverse(sk_c1) = sk_c8
    | spl0_14 ),
    inference(global_subsumption,[],[f23,f1,f2,f5,f3,f30,f20,f19,f18,f16,f22,f7,f6,f9,f27,f21,f15,f10,f247,f11,f17,f12,f13,f14,f26,f25,f24,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f4,f513,f8]) ).

fof(f1059,plain,
    ( inverse(sk_c1) = sk_c8
    | spl0_14 ),
    inference(global_subsumption,[],[f23,f1,f2,f5,f3,f30,f20,f19,f18,f16,f22,f7,f6,f9,f27,f21,f15,f10,f247,f11,f17,f12,f13,f14,f26,f25,f24,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f513,f8,f1054,f4]) ).

fof(f1249,plain,
    ( inverse(sk_c1) = sk_c8
    | spl0_14 ),
    inference(global_subsumption,[],[f23,f1,f2,f5,f3,f30,f27,f10,f11,f17,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f513,f1054,f1059,f247,f8,f1232,f4,f1233,f22,f1234,f16,f1235,f19,f1236,f18,f1237,f24,f1238,f25,f1239,f26,f1240,f13,f1241,f12,f1242,f7,f1243,f6,f1244,f14,f1245,f20,f1246,f15,f1247,f21,f1248,f9]) ).

fof(f1248,plain,
    ( sk_c8 = multiply(sk_c2,sk_c7)
    | spl0_14 ),
    inference(global_subsumption,[],[f23,f1,f2,f5,f3,f30,f9,f27,f10,f11,f17,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f513,f1054,f1059,f247,f8,f1232,f4,f1233,f22,f1234,f16,f1235,f19,f1236,f18,f1237,f24,f1238,f25,f1239,f26,f1240,f13,f1241,f12,f1242,f7,f1243,f6,f1244,f14,f1245,f20,f1246,f15,f1247,f21]) ).

fof(f1247,plain,
    ( sk_c8 = multiply(sk_c1,sk_c7)
    | spl0_14 ),
    inference(global_subsumption,[],[f23,f1,f2,f5,f3,f30,f9,f27,f21,f10,f11,f17,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f513,f1054,f1059,f247,f8,f1232,f4,f1233,f22,f1234,f16,f1235,f19,f1236,f18,f1237,f24,f1238,f25,f1239,f26,f1240,f13,f1241,f12,f1242,f7,f1243,f6,f1244,f14,f1245,f20,f1246,f15]) ).

fof(f1246,plain,
    ( sk_c8 = multiply(sk_c2,sk_c7)
    | spl0_14 ),
    inference(global_subsumption,[],[f23,f1,f2,f5,f3,f30,f9,f27,f21,f15,f10,f11,f17,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f513,f1054,f1059,f247,f8,f1232,f4,f1233,f22,f1234,f16,f1235,f19,f1236,f18,f1237,f24,f1238,f25,f1239,f26,f1240,f13,f1241,f12,f1242,f7,f1243,f6,f1244,f14,f1245,f20]) ).

fof(f1245,plain,
    ( sk_c8 = multiply(sk_c1,sk_c7)
    | spl0_14 ),
    inference(global_subsumption,[],[f23,f1,f2,f5,f3,f30,f20,f9,f27,f21,f15,f10,f11,f17,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f513,f1054,f1059,f247,f8,f1232,f4,f1233,f22,f1234,f16,f1235,f19,f1236,f18,f1237,f24,f1238,f25,f1239,f26,f1240,f13,f1241,f12,f1242,f7,f1243,f6,f1244,f14]) ).

fof(f1244,plain,
    ( inverse(sk_c1) = sk_c8
    | spl0_14 ),
    inference(global_subsumption,[],[f23,f1,f2,f5,f3,f30,f20,f9,f27,f21,f15,f10,f11,f17,f14,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f513,f1054,f1059,f247,f8,f1232,f4,f1233,f22,f1234,f16,f1235,f19,f1236,f18,f1237,f24,f1238,f25,f1239,f26,f1240,f13,f1241,f12,f1242,f7,f1243,f6]) ).

fof(f1243,plain,
    ( inverse(sk_c1) = sk_c8
    | spl0_14 ),
    inference(global_subsumption,[],[f23,f1,f2,f5,f3,f30,f20,f6,f9,f27,f21,f15,f10,f11,f17,f14,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f513,f1054,f1059,f247,f8,f1232,f4,f1233,f22,f1234,f16,f1235,f19,f1236,f18,f1237,f24,f1238,f25,f1239,f26,f1240,f13,f1241,f12,f1242,f7]) ).

fof(f1242,plain,
    ( sk_c8 = multiply(sk_c1,sk_c7)
    | spl0_14 ),
    inference(global_subsumption,[],[f23,f1,f2,f5,f3,f30,f20,f7,f6,f9,f27,f21,f15,f10,f11,f17,f14,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f513,f1054,f1059,f247,f8,f1232,f4,f1233,f22,f1234,f16,f1235,f19,f1236,f18,f1237,f24,f1238,f25,f1239,f26,f1240,f13,f1241,f12]) ).

fof(f1241,plain,
    ( sk_c8 = multiply(sk_c1,sk_c7)
    | spl0_14 ),
    inference(global_subsumption,[],[f23,f1,f2,f5,f3,f30,f20,f7,f6,f9,f27,f21,f15,f10,f11,f17,f12,f14,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f513,f1054,f1059,f247,f8,f1232,f4,f1233,f22,f1234,f16,f1235,f19,f1236,f18,f1237,f24,f1238,f25,f1239,f26,f1240,f13]) ).

fof(f1237,plain,
    ( sk_c8 = multiply(sk_c2,sk_c7)
    | spl0_14 ),
    inference(global_subsumption,[],[f23,f1,f2,f5,f3,f30,f20,f7,f6,f9,f27,f21,f15,f10,f11,f17,f12,f13,f14,f26,f25,f24,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f513,f1054,f1059,f247,f8,f1232,f4,f1233,f22,f1234,f16,f1235,f19,f1236,f18]) ).

fof(f1236,plain,
    ( sk_c8 = multiply(sk_c2,sk_c7)
    | spl0_14 ),
    inference(global_subsumption,[],[f23,f1,f2,f5,f3,f30,f20,f18,f7,f6,f9,f27,f21,f15,f10,f11,f17,f12,f13,f14,f26,f25,f24,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f513,f1054,f1059,f247,f8,f1232,f4,f1233,f22,f1234,f16,f1235,f19]) ).

fof(f1233,plain,
    ( inverse(sk_c1) = sk_c8
    | spl0_14 ),
    inference(global_subsumption,[],[f23,f1,f2,f5,f3,f30,f20,f19,f18,f16,f22,f7,f6,f9,f27,f21,f15,f10,f11,f17,f12,f13,f14,f26,f25,f24,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f513,f1054,f1059,f247,f8,f1232,f4]) ).

fof(f1232,plain,
    ( inverse(sk_c1) = sk_c8
    | spl0_14 ),
    inference(global_subsumption,[],[f23,f1,f2,f5,f3,f30,f20,f19,f18,f16,f22,f7,f6,f9,f27,f21,f15,f10,f11,f17,f12,f13,f14,f26,f25,f24,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f513,f1054,f4,f1059,f247,f8]) ).

fof(f1326,plain,
    ( spl0_8
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1325]) ).

fof(f1325,plain,
    ( $false
    | spl0_8
    | spl0_14 ),
    inference(global_subsumption,[],[f23,f1,f2,f5,f3,f30,f27,f10,f11,f17,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f513,f8,f1232,f4,f1233,f22,f16,f19,f1236,f18,f1237,f24,f25,f26,f13,f1241,f12,f1242,f7,f1243,f6,f1244,f14,f1245,f20,f1246,f15,f1247,f21,f1248,f9,f1249,f1059,f1054,f247,f1235,f1262,f1261,f1240,f1239,f1238,f1234,f192]) ).

fof(f1324,plain,
    ( spl0_8
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1323]) ).

fof(f1323,plain,
    ( $false
    | spl0_8
    | spl0_14 ),
    inference(global_subsumption,[],[f23,f1,f2,f5,f3,f30,f27,f10,f11,f17,f192,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f513,f8,f1232,f4,f1233,f22,f16,f19,f1236,f18,f1237,f24,f25,f26,f13,f1241,f12,f1242,f7,f1243,f6,f1244,f14,f1245,f20,f1246,f15,f1247,f21,f1248,f9,f1249,f1059,f1054,f247,f1235,f1262,f1261,f1240,f1239,f1238,f1234]) ).

fof(f1322,plain,
    ( spl0_8
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1321]) ).

fof(f1321,plain,
    ( $false
    | spl0_8
    | spl0_14 ),
    inference(global_subsumption,[],[f23,f1,f2,f5,f3,f30,f27,f10,f11,f17,f192,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f513,f8,f1232,f4,f1233,f22,f1234,f16,f19,f1236,f18,f1237,f24,f25,f26,f13,f1241,f12,f1242,f7,f1243,f6,f1244,f14,f1245,f20,f1246,f15,f1247,f21,f1248,f9,f1249,f1059,f1054,f247,f1235,f1262,f1261,f1240,f1239,f1238]) ).

fof(f1320,plain,
    ( spl0_8
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1319]) ).

fof(f1319,plain,
    ( $false
    | spl0_8
    | spl0_14 ),
    inference(global_subsumption,[],[f23,f1,f2,f5,f3,f30,f27,f10,f11,f17,f192,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f513,f8,f1232,f4,f1233,f22,f1234,f16,f19,f1236,f18,f1237,f24,f1238,f25,f26,f13,f1241,f12,f1242,f7,f1243,f6,f1244,f14,f1245,f20,f1246,f15,f1247,f21,f1248,f9,f1249,f1059,f1054,f247,f1235,f1262,f1261,f1240,f1239]) ).

fof(f1318,plain,
    ( spl0_8
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1317]) ).

fof(f1317,plain,
    ( $false
    | spl0_8
    | spl0_14 ),
    inference(global_subsumption,[],[f23,f1,f2,f5,f3,f30,f27,f10,f11,f17,f192,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f513,f8,f1232,f4,f1233,f22,f1234,f16,f19,f1236,f18,f1237,f24,f1238,f25,f1239,f26,f13,f1241,f12,f1242,f7,f1243,f6,f1244,f14,f1245,f20,f1246,f15,f1247,f21,f1248,f9,f1249,f1059,f1054,f247,f1235,f1262,f1261,f1240]) ).

fof(f1316,plain,
    ( spl0_8
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1315]) ).

fof(f1315,plain,
    ( $false
    | spl0_8
    | spl0_14 ),
    inference(global_subsumption,[],[f23,f1,f2,f5,f3,f30,f27,f10,f11,f17,f192,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f513,f8,f1232,f4,f1233,f22,f1234,f16,f19,f1236,f18,f1237,f24,f1238,f25,f1239,f26,f1240,f13,f1241,f12,f1242,f7,f1243,f6,f1244,f14,f1245,f20,f1246,f15,f1247,f21,f1248,f9,f1249,f1059,f1054,f247,f1235,f1262,f1261]) ).

fof(f1314,plain,
    ( ~ spl0_8
    | spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1313]) ).

fof(f1313,plain,
    ( $false
    | ~ spl0_8
    | spl0_12
    | spl0_14 ),
    inference(subsumption_resolution,[],[f1312,f239]) ).

fof(f239,plain,
    ( identity != sk_c8
    | spl0_12 ),
    inference(avatar_component_clause,[],[f237]) ).

fof(f237,plain,
    ( spl0_12
  <=> identity = sk_c8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f1312,plain,
    ( identity = sk_c8
    | ~ spl0_8
    | spl0_14 ),
    inference(forward_demodulation,[],[f1310,f2]) ).

fof(f1310,plain,
    ( sk_c8 = multiply(inverse(sk_c7),sk_c7)
    | ~ spl0_8
    | spl0_14 ),
    inference(superposition,[],[f56,f1263]) ).

fof(f1263,plain,
    ( sk_c7 = multiply(sk_c7,sk_c8)
    | ~ spl0_8
    | spl0_14 ),
    inference(forward_demodulation,[],[f1261,f193]) ).

fof(f193,plain,
    ( sk_c7 = inverse(sk_c2)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f191]) ).

fof(f1303,plain,
    ( ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1302]) ).

fof(f1302,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_11
    | spl0_12
    | spl0_14 ),
    inference(subsumption_resolution,[],[f1301,f239]) ).

fof(f1301,plain,
    ( identity = sk_c8
    | ~ spl0_8
    | ~ spl0_11
    | spl0_14 ),
    inference(forward_demodulation,[],[f1300,f1]) ).

fof(f1300,plain,
    ( sk_c8 = multiply(identity,identity)
    | ~ spl0_8
    | ~ spl0_11
    | spl0_14 ),
    inference(forward_demodulation,[],[f1298,f1270]) ).

fof(f1270,plain,
    ( identity = sk_c7
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1265,f1]) ).

fof(f1265,plain,
    ( sk_c7 = multiply(identity,identity)
    | ~ spl0_11 ),
    inference(superposition,[],[f514,f234]) ).

fof(f234,plain,
    ( identity = inverse(inverse(sk_c7))
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f233]) ).

fof(f233,plain,
    ( spl0_11
  <=> identity = inverse(inverse(sk_c7)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f1298,plain,
    ( sk_c8 = multiply(identity,sk_c7)
    | ~ spl0_8
    | ~ spl0_11
    | spl0_14 ),
    inference(superposition,[],[f1235,f1291]) ).

fof(f1291,plain,
    ( identity = sk_c2
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(superposition,[],[f1290,f1]) ).

fof(f1290,plain,
    ( identity = multiply(identity,sk_c2)
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1257,f1270]) ).

fof(f1257,plain,
    ( identity = multiply(sk_c7,sk_c2)
    | ~ spl0_8 ),
    inference(superposition,[],[f2,f193]) ).

fof(f1231,plain,
    ( spl0_7
    | ~ spl0_12
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1230]) ).

fof(f1230,plain,
    ( $false
    | spl0_7
    | ~ spl0_12
    | spl0_13 ),
    inference(global_subsumption,[],[f1229,f23,f1,f2,f5,f3,f30,f20,f19,f18,f16,f22,f7,f6,f9,f27,f188,f200,f202,f204,f206,f21,f15,f10,f371,f372,f373,f243,f11,f17,f12,f13,f14,f26,f25,f24,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f375,f374,f513,f8,f4]) ).

fof(f374,plain,
    ( sk_c4 = inverse(sk_c3)
    | spl0_13 ),
    inference(global_subsumption,[],[f23,f11,f1,f2,f5,f3,f56,f30,f20,f19,f18,f16,f26,f25,f24,f22,f8,f7,f6,f4,f9,f27,f21,f15,f10,f14,f371,f13,f372,f12,f373,f243,f17]) ).

fof(f375,plain,
    ( sk_c4 = inverse(sk_c3)
    | spl0_13 ),
    inference(global_subsumption,[],[f23,f1,f2,f5,f3,f56,f30,f20,f19,f18,f16,f26,f25,f24,f22,f8,f7,f6,f4,f9,f27,f21,f15,f10,f14,f371,f13,f372,f12,f373,f243,f17,f374,f11]) ).

fof(f243,plain,
    ( sk_c8 != multiply(sk_c1,sk_c7)
    | spl0_13 ),
    inference(avatar_component_clause,[],[f242]) ).

fof(f373,plain,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | spl0_13 ),
    inference(global_subsumption,[],[f23,f17,f11,f1,f2,f5,f3,f56,f30,f20,f19,f18,f16,f26,f25,f24,f22,f8,f7,f6,f4,f9,f27,f21,f15,f10,f243,f14,f371,f13,f372,f12]) ).

fof(f372,plain,
    ( sk_c7 = multiply(sk_c8,sk_c6)
    | spl0_13 ),
    inference(global_subsumption,[],[f23,f17,f11,f1,f2,f5,f3,f56,f30,f20,f19,f18,f16,f12,f26,f25,f24,f22,f8,f7,f6,f4,f9,f27,f21,f15,f10,f243,f14,f371,f13]) ).

fof(f371,plain,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | spl0_13 ),
    inference(global_subsumption,[],[f23,f17,f11,f1,f2,f5,f3,f56,f30,f20,f19,f18,f16,f13,f12,f26,f25,f24,f22,f8,f7,f6,f4,f9,f27,f21,f15,f10,f243,f14]) ).

fof(f206,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c2,multiply(sk_c7,X0))
    | spl0_7 ),
    inference(superposition,[],[f3,f204]) ).

fof(f204,plain,
    ( sk_c8 = multiply(sk_c2,sk_c7)
    | spl0_7 ),
    inference(subsumption_resolution,[],[f21,f188]) ).

fof(f202,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c1,multiply(sk_c7,X0))
    | spl0_7 ),
    inference(superposition,[],[f3,f200]) ).

fof(f200,plain,
    ( sk_c8 = multiply(sk_c1,sk_c7)
    | spl0_7 ),
    inference(subsumption_resolution,[],[f15,f188]) ).

fof(f188,plain,
    ( sk_c8 != inverse(sk_c5)
    | spl0_7 ),
    inference(avatar_component_clause,[],[f187]) ).

fof(f1229,plain,
    ( identity != inverse(sk_c5)
    | spl0_7
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f188,f238]) ).

fof(f238,plain,
    ( identity = sk_c8
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f237]) ).

fof(f1227,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | ~ spl0_9
    | spl0_13
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1226]) ).

fof(f1226,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | ~ spl0_9
    | spl0_13
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f357,f23,f1,f2,f5,f3,f30,f20,f19,f18,f16,f22,f7,f6,f9,f27,f188,f200,f202,f204,f206,f21,f15,f10,f371,f372,f373,f243,f11,f17,f12,f13,f14,f26,f25,f24,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f375,f374,f513,f8,f4]) ).

fof(f357,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_13
    | ~ spl0_14 ),
    inference(superposition,[],[f356,f337]) ).

fof(f337,plain,
    ( ! [X0] : multiply(sk_c8,X0) = X0
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f336,f1]) ).

fof(f336,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(identity,X0))
    | ~ spl0_9 ),
    inference(superposition,[],[f3,f326]) ).

fof(f326,plain,
    ( identity = multiply(sk_c8,identity)
    | ~ spl0_9 ),
    inference(superposition,[],[f2,f223]) ).

fof(f223,plain,
    ( sk_c8 = inverse(identity)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f222]) ).

fof(f222,plain,
    ( spl0_9
  <=> sk_c8 = inverse(identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f356,plain,
    ( sk_c7 = multiply(sk_c8,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_13
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f355,f327]) ).

fof(f327,plain,
    ( sk_c8 != multiply(identity,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_13
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f243,f296]) ).

fof(f296,plain,
    ( identity = sk_c1
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_14 ),
    inference(superposition,[],[f293,f181]) ).

fof(f181,plain,
    ( identity = multiply(sk_c8,sk_c1)
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f34]) ).

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

fof(f293,plain,
    ( ! [X0] : multiply(sk_c8,X0) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f292,f1]) ).

fof(f292,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(identity,X0))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_14 ),
    inference(superposition,[],[f3,f289]) ).

fof(f289,plain,
    ( identity = multiply(sk_c8,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f288,f181]) ).

fof(f288,plain,
    ( multiply(sk_c8,sk_c1) = multiply(sk_c8,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f286,f251]) ).

fof(f286,plain,
    ( multiply(sk_c8,sk_c1) = multiply(sk_c3,multiply(sk_c4,identity))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_14 ),
    inference(superposition,[],[f251,f277]) ).

fof(f277,plain,
    ( multiply(sk_c4,sk_c1) = multiply(sk_c4,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_14 ),
    inference(superposition,[],[f256,f181]) ).

fof(f256,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c4,multiply(sk_c8,X0))
    | ~ spl0_2
    | ~ spl0_14 ),
    inference(superposition,[],[f59,f251]) ).

fof(f355,plain,
    ( sk_c8 = multiply(identity,sk_c7)
    | sk_c7 = multiply(sk_c8,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f13,f296]) ).

fof(f1225,plain,
    ( spl0_7
    | spl0_10
    | ~ spl0_12
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1224]) ).

fof(f1224,plain,
    ( $false
    | spl0_7
    | spl0_10
    | ~ spl0_12
    | spl0_13 ),
    inference(global_subsumption,[],[f1223,f23,f1,f2,f5,f3,f30,f20,f19,f18,f16,f22,f7,f6,f9,f27,f188,f200,f202,f204,f206,f21,f15,f10,f371,f372,f373,f243,f11,f17,f12,f13,f14,f26,f25,f24,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f375,f374,f513,f8,f4]) ).

fof(f1223,plain,
    ( identity != sk_c7
    | spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f228,f238]) ).

fof(f1222,plain,
    ( ~ spl0_1
    | spl0_7
    | ~ spl0_12
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1221]) ).

fof(f1221,plain,
    ( $false
    | ~ spl0_1
    | spl0_7
    | ~ spl0_12
    | spl0_13 ),
    inference(global_subsumption,[],[f1220,f23,f1,f2,f5,f3,f30,f20,f19,f18,f16,f22,f7,f6,f9,f27,f188,f200,f202,f204,f206,f21,f15,f10,f371,f372,f373,f243,f11,f17,f12,f13,f14,f26,f25,f24,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f375,f374,f513,f8,f4]) ).

fof(f1220,plain,
    ( identity != multiply(identity,sk_c7)
    | ~ spl0_1
    | ~ spl0_12
    | spl0_13 ),
    inference(forward_demodulation,[],[f1219,f238]) ).

fof(f1219,plain,
    ( sk_c8 != multiply(identity,sk_c7)
    | ~ spl0_1
    | ~ spl0_12
    | spl0_13 ),
    inference(forward_demodulation,[],[f243,f847]) ).

fof(f847,plain,
    ( identity = sk_c1
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f846,f2]) ).

fof(f846,plain,
    ( sk_c1 = multiply(inverse(identity),identity)
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f840,f238]) ).

fof(f840,plain,
    ( sk_c1 = multiply(inverse(sk_c8),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f514,f34]) ).

fof(f1218,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | ~ spl0_12
    | spl0_13
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1217]) ).

fof(f1217,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | ~ spl0_12
    | spl0_13
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f1216,f23,f1,f2,f5,f3,f30,f20,f19,f18,f16,f22,f7,f6,f9,f27,f188,f200,f202,f204,f206,f21,f15,f10,f371,f372,f373,f243,f11,f17,f12,f13,f14,f26,f25,f24,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f375,f374,f513,f8,f4]) ).

fof(f1216,plain,
    ( identity != multiply(identity,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_12
    | spl0_13
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f327,f238]) ).

fof(f1215,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | ~ spl0_12
    | spl0_13
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1214]) ).

fof(f1214,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | ~ spl0_12
    | spl0_13
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f1213,f23,f1,f2,f5,f3,f30,f20,f19,f18,f16,f22,f7,f6,f9,f27,f188,f200,f202,f204,f206,f21,f15,f10,f371,f372,f373,f243,f11,f17,f12,f13,f14,f26,f25,f24,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f375,f374,f513,f8,f4]) ).

fof(f1213,plain,
    ( identity != sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_12
    | spl0_13
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f330,f238]) ).

fof(f330,plain,
    ( sk_c8 != sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | spl0_13
    | ~ spl0_14 ),
    inference(superposition,[],[f327,f1]) ).

fof(f1212,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | ~ spl0_12
    | spl0_13
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1211]) ).

fof(f1211,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | ~ spl0_12
    | spl0_13
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f1210,f23,f1,f2,f5,f3,f30,f20,f19,f18,f16,f22,f7,f6,f9,f27,f188,f200,f202,f204,f206,f21,f15,f10,f371,f372,f373,f243,f11,f17,f12,f13,f14,f26,f25,f24,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f375,f374,f513,f8,f4]) ).

fof(f1210,plain,
    ( identity = multiply(sk_c4,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_12
    | spl0_13
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f332,f238]) ).

fof(f332,plain,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_13
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f331,f327]) ).

fof(f331,plain,
    ( sk_c8 = multiply(identity,sk_c7)
    | sk_c8 = multiply(sk_c4,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f12,f296]) ).

fof(f1209,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | ~ spl0_12
    | spl0_13
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1208]) ).

fof(f1208,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | ~ spl0_12
    | spl0_13
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f1207,f23,f1,f2,f5,f3,f30,f20,f19,f18,f16,f22,f7,f6,f9,f27,f188,f200,f202,f204,f206,f21,f15,f10,f371,f372,f373,f243,f11,f17,f12,f13,f14,f26,f25,f24,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f375,f374,f513,f8,f4]) ).

fof(f1207,plain,
    ( sk_c7 = multiply(identity,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_12
    | spl0_13
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f356,f238]) ).

fof(f1206,plain,
    ( spl0_7
    | ~ spl0_12
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1205]) ).

fof(f1205,plain,
    ( $false
    | spl0_7
    | ~ spl0_12
    | spl0_13 ),
    inference(global_subsumption,[],[f1204,f23,f1,f2,f5,f3,f30,f20,f19,f18,f16,f22,f7,f6,f9,f27,f188,f200,f202,f204,f206,f21,f15,f10,f371,f372,f373,f243,f11,f17,f12,f13,f14,f26,f25,f24,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f375,f374,f513,f8,f4]) ).

fof(f1204,plain,
    ( sk_c6 = multiply(sk_c5,identity)
    | ~ spl0_12
    | spl0_13 ),
    inference(forward_demodulation,[],[f371,f238]) ).

fof(f1203,plain,
    ( spl0_7
    | ~ spl0_12
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1202]) ).

fof(f1202,plain,
    ( $false
    | spl0_7
    | ~ spl0_12
    | spl0_13 ),
    inference(global_subsumption,[],[f1201,f23,f1,f2,f5,f3,f30,f20,f19,f18,f16,f22,f7,f6,f9,f27,f188,f200,f202,f204,f206,f21,f15,f10,f371,f372,f373,f243,f11,f17,f12,f13,f14,f26,f25,f24,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f375,f374,f513,f8,f4]) ).

fof(f1201,plain,
    ( sk_c7 = multiply(identity,sk_c6)
    | ~ spl0_12
    | spl0_13 ),
    inference(forward_demodulation,[],[f372,f238]) ).

fof(f1200,plain,
    ( spl0_7
    | ~ spl0_12
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1199]) ).

fof(f1199,plain,
    ( $false
    | spl0_7
    | ~ spl0_12
    | spl0_13 ),
    inference(global_subsumption,[],[f1198,f23,f1,f2,f5,f3,f30,f20,f19,f18,f16,f22,f7,f6,f9,f27,f188,f200,f202,f204,f206,f21,f15,f10,f371,f372,f373,f243,f11,f17,f12,f13,f14,f26,f25,f24,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f375,f374,f513,f8,f4]) ).

fof(f1198,plain,
    ( identity = multiply(sk_c4,sk_c7)
    | ~ spl0_12
    | spl0_13 ),
    inference(forward_demodulation,[],[f373,f238]) ).

fof(f1197,plain,
    ( spl0_7
    | ~ spl0_12
    | spl0_13
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1196]) ).

fof(f1196,plain,
    ( $false
    | spl0_7
    | ~ spl0_12
    | spl0_13
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f1195,f23,f1,f2,f5,f3,f30,f20,f19,f18,f16,f22,f7,f6,f9,f27,f188,f200,f202,f204,f206,f21,f15,f10,f371,f372,f373,f243,f11,f17,f12,f13,f14,f26,f25,f24,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f375,f374,f513,f8,f4]) ).

fof(f1195,plain,
    ( identity = multiply(sk_c3,sk_c4)
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f248,f238]) ).

fof(f1194,plain,
    ( ~ spl0_2
    | spl0_7
    | ~ spl0_12
    | spl0_13
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1193]) ).

fof(f1193,plain,
    ( $false
    | ~ spl0_2
    | spl0_7
    | ~ spl0_12
    | spl0_13
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f1192,f23,f1,f2,f5,f3,f30,f20,f19,f18,f16,f22,f7,f6,f9,f27,f188,f200,f202,f204,f206,f21,f15,f10,f371,f372,f373,f243,f11,f17,f12,f13,f14,f26,f25,f24,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f375,f374,f513,f8,f4]) ).

fof(f1192,plain,
    ( sk_c4 = multiply(sk_c4,identity)
    | ~ spl0_2
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f250,f238]) ).

fof(f1184,plain,
    ( spl0_7
    | ~ spl0_12
    | spl0_13
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1183]) ).

fof(f1183,plain,
    ( $false
    | spl0_7
    | ~ spl0_12
    | spl0_13
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f1182,f23,f1,f2,f5,f3,f30,f20,f19,f18,f16,f22,f7,f6,f9,f27,f188,f200,f202,f204,f206,f21,f15,f10,f371,f372,f373,f243,f11,f17,f12,f13,f14,f26,f25,f24,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f375,f374,f513,f8,f4]) ).

fof(f1182,plain,
    ( identity = multiply(sk_c3,sk_c4)
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f960,f238]) ).

fof(f1177,plain,
    ( spl0_7
    | ~ spl0_8
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1176]) ).

fof(f1176,plain,
    ( $false
    | spl0_7
    | ~ spl0_8
    | spl0_13 ),
    inference(global_subsumption,[],[f193,f23,f1,f2,f5,f3,f30,f20,f19,f18,f16,f22,f7,f6,f9,f27,f188,f200,f202,f204,f206,f21,f15,f10,f371,f372,f373,f243,f11,f17,f12,f13,f14,f26,f25,f24,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f375,f374,f513,f8,f4]) ).

fof(f1175,plain,
    ( spl0_7
    | ~ spl0_11
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1174]) ).

fof(f1174,plain,
    ( $false
    | spl0_7
    | ~ spl0_11
    | spl0_13 ),
    inference(global_subsumption,[],[f234,f23,f1,f2,f5,f3,f30,f20,f19,f18,f16,f22,f7,f6,f9,f27,f188,f200,f202,f204,f206,f21,f15,f10,f371,f372,f373,f243,f11,f17,f12,f13,f14,f26,f25,f24,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f375,f374,f513,f8,f4]) ).

fof(f1173,plain,
    ( spl0_7
    | ~ spl0_12
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1172]) ).

fof(f1172,plain,
    ( $false
    | spl0_7
    | ~ spl0_12
    | spl0_13 ),
    inference(global_subsumption,[],[f1171,f23,f1,f2,f5,f3,f30,f20,f19,f18,f16,f22,f7,f6,f9,f27,f188,f200,f202,f204,f206,f21,f15,f10,f371,f372,f373,f243,f11,f17,f12,f13,f14,f26,f25,f24,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f375,f374,f513,f8,f4]) ).

fof(f1171,plain,
    ( identity = multiply(sk_c3,sk_c4)
    | sk_c7 = inverse(sk_c2)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f22,f238]) ).

fof(f1170,plain,
    ( spl0_7
    | ~ spl0_12
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1169]) ).

fof(f1169,plain,
    ( $false
    | spl0_7
    | ~ spl0_12
    | spl0_13 ),
    inference(global_subsumption,[],[f1168,f23,f1,f2,f5,f3,f30,f20,f19,f18,f16,f22,f7,f6,f9,f27,f188,f200,f202,f204,f206,f21,f15,f10,f371,f372,f373,f243,f11,f17,f12,f13,f14,f26,f25,f24,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f375,f374,f513,f8,f4]) ).

fof(f1168,plain,
    ( identity = multiply(sk_c2,sk_c7)
    | identity = multiply(sk_c3,sk_c4)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1167,f238]) ).

fof(f1167,plain,
    ( identity = multiply(sk_c3,sk_c4)
    | sk_c8 = multiply(sk_c2,sk_c7)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f16,f238]) ).

fof(f1166,plain,
    ( spl0_7
    | ~ spl0_12
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1165]) ).

fof(f1165,plain,
    ( $false
    | spl0_7
    | ~ spl0_12
    | spl0_13 ),
    inference(global_subsumption,[],[f1164,f23,f1,f2,f5,f3,f30,f20,f19,f18,f16,f22,f7,f6,f9,f27,f188,f200,f202,f204,f206,f21,f15,f10,f371,f372,f373,f243,f11,f17,f12,f13,f14,f26,f25,f24,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f375,f374,f513,f8,f4]) ).

fof(f1164,plain,
    ( identity = multiply(sk_c2,sk_c7)
    | sk_c7 = sk_c6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1163,f238]) ).

fof(f1163,plain,
    ( sk_c7 = sk_c6
    | sk_c8 = multiply(sk_c2,sk_c7)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1162,f1]) ).

fof(f1162,plain,
    ( sk_c7 = multiply(identity,sk_c6)
    | sk_c8 = multiply(sk_c2,sk_c7)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f19,f238]) ).

fof(f1161,plain,
    ( spl0_7
    | ~ spl0_12
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1160]) ).

fof(f1160,plain,
    ( $false
    | spl0_7
    | ~ spl0_12
    | spl0_13 ),
    inference(global_subsumption,[],[f1159,f23,f1,f2,f5,f3,f30,f20,f19,f18,f16,f22,f7,f6,f9,f27,f188,f200,f202,f204,f206,f21,f15,f10,f371,f372,f373,f243,f11,f17,f12,f13,f14,f26,f25,f24,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f375,f374,f513,f8,f4]) ).

fof(f1159,plain,
    ( identity = multiply(sk_c2,sk_c7)
    | identity = multiply(sk_c4,sk_c7)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1158,f238]) ).

fof(f1158,plain,
    ( identity = multiply(sk_c4,sk_c7)
    | sk_c8 = multiply(sk_c2,sk_c7)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f18,f238]) ).

fof(f1157,plain,
    ( spl0_7
    | ~ spl0_12
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1156]) ).

fof(f1156,plain,
    ( $false
    | spl0_7
    | ~ spl0_12
    | spl0_13 ),
    inference(global_subsumption,[],[f1155,f23,f1,f2,f5,f3,f30,f20,f19,f18,f16,f22,f7,f6,f9,f27,f188,f200,f202,f204,f206,f21,f15,f10,f371,f372,f373,f243,f11,f17,f12,f13,f14,f26,f25,f24,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f375,f374,f513,f8,f4]) ).

fof(f1155,plain,
    ( identity = multiply(sk_c4,sk_c7)
    | sk_c7 = inverse(sk_c2)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f24,f238]) ).

fof(f1154,plain,
    ( spl0_7
    | ~ spl0_12
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1153]) ).

fof(f1153,plain,
    ( $false
    | spl0_7
    | ~ spl0_12
    | spl0_13 ),
    inference(global_subsumption,[],[f1152,f23,f1,f2,f5,f3,f30,f20,f19,f18,f16,f22,f7,f6,f9,f27,f188,f200,f202,f204,f206,f21,f15,f10,f371,f372,f373,f243,f11,f17,f12,f13,f14,f26,f25,f24,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f375,f374,f513,f8,f4]) ).

fof(f1152,plain,
    ( sk_c7 = multiply(identity,sk_c6)
    | sk_c7 = inverse(sk_c2)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f25,f238]) ).

fof(f1151,plain,
    ( spl0_7
    | ~ spl0_12
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1150]) ).

fof(f1150,plain,
    ( $false
    | spl0_7
    | ~ spl0_12
    | spl0_13 ),
    inference(global_subsumption,[],[f1149,f23,f1,f2,f5,f3,f30,f20,f19,f18,f16,f22,f7,f6,f9,f27,f188,f200,f202,f204,f206,f21,f15,f10,f371,f372,f373,f243,f11,f17,f12,f13,f14,f26,f25,f24,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f375,f374,f513,f8,f4]) ).

fof(f1149,plain,
    ( sk_c6 = multiply(sk_c5,identity)
    | sk_c7 = inverse(sk_c2)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f26,f238]) ).

fof(f1148,plain,
    ( ~ spl0_1
    | spl0_7
    | ~ spl0_12
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1147]) ).

fof(f1147,plain,
    ( $false
    | ~ spl0_1
    | spl0_7
    | ~ spl0_12
    | spl0_13 ),
    inference(global_subsumption,[],[f1146,f23,f1,f2,f5,f3,f30,f20,f19,f18,f16,f22,f7,f6,f9,f27,f188,f200,f202,f204,f206,f21,f15,f10,f371,f372,f373,f243,f11,f17,f12,f13,f14,f26,f25,f24,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f375,f374,f513,f8,f4]) ).

fof(f1146,plain,
    ( identity = multiply(identity,sk_c7)
    | sk_c7 = sk_c6
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1145,f238]) ).

fof(f1145,plain,
    ( sk_c8 = multiply(identity,sk_c7)
    | sk_c7 = sk_c6
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1144,f847]) ).

fof(f1144,plain,
    ( sk_c7 = sk_c6
    | sk_c8 = multiply(sk_c1,sk_c7)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1143,f1]) ).

fof(f1143,plain,
    ( sk_c7 = multiply(identity,sk_c6)
    | sk_c8 = multiply(sk_c1,sk_c7)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f13,f238]) ).

fof(f1142,plain,
    ( ~ spl0_1
    | spl0_7
    | ~ spl0_12
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1141]) ).

fof(f1141,plain,
    ( $false
    | ~ spl0_1
    | spl0_7
    | ~ spl0_12
    | spl0_13 ),
    inference(global_subsumption,[],[f1140,f23,f1,f2,f5,f3,f30,f20,f19,f18,f16,f22,f7,f6,f9,f27,f188,f200,f202,f204,f206,f21,f15,f10,f371,f372,f373,f243,f11,f17,f12,f13,f14,f26,f25,f24,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f375,f374,f513,f8,f4]) ).

fof(f1140,plain,
    ( identity = sk_c7
    | identity = multiply(sk_c4,sk_c7)
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1139,f238]) ).

fof(f1139,plain,
    ( sk_c8 = sk_c7
    | identity = multiply(sk_c4,sk_c7)
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1138,f1]) ).

fof(f1138,plain,
    ( sk_c8 = multiply(identity,sk_c7)
    | identity = multiply(sk_c4,sk_c7)
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1137,f847]) ).

fof(f1137,plain,
    ( identity = multiply(sk_c4,sk_c7)
    | sk_c8 = multiply(sk_c1,sk_c7)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f12,f238]) ).

fof(f1132,plain,
    ( ~ spl0_1
    | spl0_7
    | ~ spl0_12
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1131]) ).

fof(f1131,plain,
    ( $false
    | ~ spl0_1
    | spl0_7
    | ~ spl0_12
    | spl0_13 ),
    inference(global_subsumption,[],[f1130,f23,f1,f2,f5,f3,f30,f20,f19,f18,f16,f22,f7,f6,f9,f27,f188,f200,f202,f204,f206,f21,f15,f10,f371,f372,f373,f243,f11,f17,f12,f13,f14,f26,f25,f24,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f375,f374,f513,f8,f4]) ).

fof(f1130,plain,
    ( identity = sk_c7
    | sk_c6 = multiply(sk_c5,identity)
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1129,f238]) ).

fof(f1129,plain,
    ( sk_c8 = sk_c7
    | sk_c6 = multiply(sk_c5,identity)
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1128,f1]) ).

fof(f1128,plain,
    ( sk_c8 = multiply(identity,sk_c7)
    | sk_c6 = multiply(sk_c5,identity)
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1127,f847]) ).

fof(f1127,plain,
    ( sk_c6 = multiply(sk_c5,identity)
    | sk_c8 = multiply(sk_c1,sk_c7)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f14,f238]) ).

fof(f1126,plain,
    ( spl0_7
    | ~ spl0_12
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1125]) ).

fof(f1125,plain,
    ( $false
    | spl0_7
    | ~ spl0_12
    | spl0_13 ),
    inference(global_subsumption,[],[f1124,f23,f1,f2,f5,f3,f30,f20,f19,f18,f16,f22,f7,f6,f9,f27,f188,f200,f202,f204,f206,f21,f15,f10,f371,f372,f373,f243,f11,f17,f12,f13,f14,f26,f25,f24,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f375,f374,f513,f8,f4]) ).

fof(f1124,plain,
    ( identity = multiply(sk_c2,sk_c7)
    | sk_c6 = multiply(sk_c5,identity)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1123,f238]) ).

fof(f1123,plain,
    ( sk_c6 = multiply(sk_c5,identity)
    | sk_c8 = multiply(sk_c2,sk_c7)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f20,f238]) ).

fof(f1122,plain,
    ( ~ spl0_3
    | spl0_7
    | ~ spl0_12
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1121]) ).

fof(f1121,plain,
    ( $false
    | ~ spl0_3
    | spl0_7
    | ~ spl0_12
    | spl0_13 ),
    inference(global_subsumption,[],[f1120,f23,f1,f2,f5,f3,f30,f20,f19,f18,f16,f22,f7,f6,f9,f27,f188,f200,f202,f204,f206,f21,f15,f10,f371,f372,f373,f243,f11,f17,f12,f13,f14,f26,f25,f24,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f375,f374,f513,f8,f4]) ).

fof(f1120,plain,
    ( ! [X5] :
        ( identity != multiply(X5,inverse(X5))
        | identity != multiply(inverse(X5),sk_c7) )
    | ~ spl0_3
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1119,f238]) ).

fof(f1119,plain,
    ( ! [X5] :
        ( identity != multiply(inverse(X5),sk_c7)
        | sk_c8 != multiply(X5,inverse(X5)) )
    | ~ spl0_3
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f66,f238]) ).

fof(f66,plain,
    ( ! [X5] :
        ( sk_c8 != multiply(inverse(X5),sk_c7)
        | sk_c8 != multiply(X5,inverse(X5)) )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f65]) ).

fof(f65,plain,
    ( spl0_3
  <=> ! [X5] :
        ( sk_c8 != multiply(inverse(X5),sk_c7)
        | sk_c8 != multiply(X5,inverse(X5)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f1118,plain,
    ( ~ spl0_1
    | spl0_7
    | ~ spl0_12
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1117]) ).

fof(f1117,plain,
    ( $false
    | ~ spl0_1
    | spl0_7
    | ~ spl0_12
    | spl0_13 ),
    inference(global_subsumption,[],[f1116,f23,f1,f2,f5,f3,f30,f20,f19,f18,f16,f22,f7,f6,f9,f27,f188,f200,f202,f204,f206,f21,f15,f10,f371,f372,f373,f243,f11,f17,f12,f13,f14,f26,f25,f24,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f375,f374,f513,f8,f4]) ).

fof(f1116,plain,
    ( identity = multiply(identity,sk_c7)
    | identity = inverse(sk_c5)
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1115,f238]) ).

fof(f1115,plain,
    ( sk_c8 = multiply(identity,sk_c7)
    | identity = inverse(sk_c5)
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1114,f847]) ).

fof(f1114,plain,
    ( identity = inverse(sk_c5)
    | sk_c8 = multiply(sk_c1,sk_c7)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f15,f238]) ).

fof(f1113,plain,
    ( spl0_7
    | ~ spl0_12
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1112]) ).

fof(f1112,plain,
    ( $false
    | spl0_7
    | ~ spl0_12
    | spl0_13 ),
    inference(global_subsumption,[],[f1111,f23,f1,f2,f5,f3,f30,f20,f19,f18,f16,f22,f7,f6,f9,f27,f188,f200,f202,f204,f206,f21,f15,f10,f371,f372,f373,f243,f11,f17,f12,f13,f14,f26,f25,f24,f56,f517,f526,f514,f852,f843,f859,f869,f861,f858,f375,f374,f513,f8,f4]) ).

fof(f1111,plain,
    ( identity = multiply(sk_c2,sk_c7)
    | identity = inverse(sk_c5)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1110,f238]) ).

fof(f1110,plain,
    ( identity = inverse(sk_c5)
    | sk_c8 = multiply(sk_c2,sk_c7)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f21,f238]) ).

fof(f1106,plain,
    ( ~ spl0_1
    | spl0_9
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1105]) ).

fof(f1105,plain,
    ( $false
    | ~ spl0_1
    | spl0_9
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1104,f238]) ).

fof(f1104,plain,
    ( identity != sk_c8
    | ~ spl0_1
    | spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f224,f1084]) ).

fof(f1084,plain,
    ( identity = inverse(identity)
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1083,f847]) ).

fof(f1083,plain,
    ( identity = inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f34,f238]) ).

fof(f224,plain,
    ( sk_c8 != inverse(identity)
    | spl0_9 ),
    inference(avatar_component_clause,[],[f222]) ).

fof(f1050,plain,
    ( ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1049]) ).

fof(f1049,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f23,f1,f2,f5,f3,f30,f20,f19,f18,f16,f22,f8,f7,f6,f9,f27,f21,f15,f10,f11,f17,f12,f13,f14,f26,f25,f24,f227,f56,f517,f526,f514,f852,f843,f859,f869,f878,f914,f920,f922,f927,f861,f858,f934,f936,f937,f956,f958,f4,f1003,f1005,f513,f238,f889,f880,f879,f897,f794,f892,f1045,f1048]) ).

fof(f1048,plain,
    ( ! [X8] :
        ( sk_c8 != multiply(sk_c8,multiply(X8,sk_c8))
        | sk_c8 != inverse(X8) )
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f72,f227]) ).

fof(f72,plain,
    ( ! [X8] :
        ( sk_c8 != inverse(X8)
        | sk_c7 != multiply(sk_c8,multiply(X8,sk_c8)) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f71]) ).

fof(f71,plain,
    ( spl0_5
  <=> ! [X8] :
        ( sk_c8 != inverse(X8)
        | sk_c7 != multiply(sk_c8,multiply(X8,sk_c8)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f1045,plain,
    ( ! [X8] :
        ( sk_c8 != multiply(identity,multiply(X8,identity))
        | identity != inverse(X8) )
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f792,f227]) ).

fof(f792,plain,
    ( ! [X8] :
        ( sk_c7 != multiply(identity,multiply(X8,identity))
        | identity != inverse(X8) )
    | ~ spl0_5
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f791,f238]) ).

fof(f791,plain,
    ( ! [X8] :
        ( identity != inverse(X8)
        | sk_c7 != multiply(sk_c8,multiply(X8,sk_c8)) )
    | ~ spl0_5
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f72,f238]) ).

fof(f892,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f874,f1]) ).

fof(f874,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(inverse(identity))
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(superposition,[],[f794,f2]) ).

fof(f794,plain,
    ( ! [X8] :
        ( identity != multiply(identity,multiply(X8,identity))
        | identity != inverse(X8) )
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f793,f238]) ).

fof(f793,plain,
    ( ! [X8] :
        ( sk_c8 != multiply(identity,multiply(X8,identity))
        | identity != inverse(X8) )
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f792,f227]) ).

fof(f897,plain,
    ( identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f875,f1]) ).

fof(f875,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(superposition,[],[f794,f843]) ).

fof(f879,plain,
    ( ! [X0] :
        ( identity != multiply(X0,identity)
        | identity != inverse(X0) )
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(superposition,[],[f794,f1]) ).

fof(f880,plain,
    ( ! [X0] :
        ( identity != X0
        | identity != inverse(inverse(inverse(X0))) )
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f870,f1]) ).

fof(f870,plain,
    ( ! [X0] :
        ( identity != multiply(identity,X0)
        | identity != inverse(inverse(inverse(X0))) )
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(superposition,[],[f794,f514]) ).

fof(f889,plain,
    ( identity != inverse(identity)
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f873,f1]) ).

fof(f873,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(identity)
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(superposition,[],[f794,f1]) ).

fof(f1005,plain,
    ( sk_c8 = multiply(sk_c2,sk_c8)
    | sk_c6 = multiply(sk_c5,sk_c8)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f20,f227]) ).

fof(f1003,plain,
    ( sk_c8 = multiply(sk_c1,sk_c8)
    | sk_c6 = multiply(sk_c5,sk_c8)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f14,f227]) ).

fof(f958,plain,
    ( sk_c8 = multiply(sk_c4,sk_c8)
    | inverse(sk_c1) = sk_c8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f6,f227]) ).

fof(f956,plain,
    ( sk_c8 = multiply(sk_c8,sk_c6)
    | inverse(sk_c1) = sk_c8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f7,f227]) ).

fof(f937,plain,
    ( sk_c8 = multiply(sk_c1,sk_c8)
    | sk_c4 = inverse(sk_c3)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f11,f227]) ).

fof(f936,plain,
    ( sk_c8 = multiply(sk_c1,sk_c8)
    | sk_c8 = multiply(sk_c4,sk_c8)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f935,f227]) ).

fof(f935,plain,
    ( sk_c8 = multiply(sk_c4,sk_c8)
    | sk_c8 = multiply(sk_c1,sk_c7)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f12,f227]) ).

fof(f934,plain,
    ( sk_c8 = multiply(sk_c1,sk_c8)
    | sk_c8 = multiply(sk_c8,sk_c6)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f933,f227]) ).

fof(f933,plain,
    ( sk_c8 = multiply(sk_c8,sk_c6)
    | sk_c8 = multiply(sk_c1,sk_c7)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f13,f227]) ).

fof(f927,plain,
    ( sk_c8 = multiply(sk_c2,sk_c8)
    | sk_c4 = inverse(sk_c3)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f17,f227]) ).

fof(f922,plain,
    ( sk_c8 = multiply(sk_c2,sk_c8)
    | sk_c8 = multiply(sk_c4,sk_c8)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f921,f227]) ).

fof(f921,plain,
    ( sk_c8 = multiply(sk_c4,sk_c8)
    | sk_c8 = multiply(sk_c2,sk_c7)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f18,f227]) ).

fof(f920,plain,
    ( sk_c8 = multiply(sk_c2,sk_c8)
    | sk_c8 = multiply(sk_c8,sk_c6)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f919,f227]) ).

fof(f919,plain,
    ( sk_c8 = multiply(sk_c8,sk_c6)
    | sk_c8 = multiply(sk_c2,sk_c7)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f19,f227]) ).

fof(f914,plain,
    ( sk_c8 = multiply(sk_c2,sk_c8)
    | sk_c8 = multiply(sk_c3,sk_c4)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f16,f227]) ).

fof(f878,plain,
    ( ! [X0,X1] :
        ( identity != multiply(identity,multiply(X0,multiply(X1,identity)))
        | identity != inverse(multiply(X0,X1)) )
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(superposition,[],[f794,f3]) ).

fof(f227,plain,
    ( sk_c8 = sk_c7
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f226]) ).

fof(f1047,plain,
    ( ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1046]) ).

fof(f1046,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f23,f1,f2,f5,f3,f30,f20,f19,f18,f16,f22,f8,f7,f6,f9,f27,f21,f15,f10,f11,f17,f12,f13,f14,f26,f25,f24,f227,f56,f517,f526,f514,f852,f843,f859,f869,f878,f914,f920,f922,f927,f861,f858,f934,f936,f937,f956,f958,f4,f1003,f1005,f513,f238,f889,f880,f879,f897,f794,f892,f1045]) ).

fof(f1044,plain,
    ( ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1043]) ).

fof(f1043,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f23,f1,f2,f5,f3,f30,f20,f19,f18,f16,f22,f8,f7,f6,f9,f27,f21,f15,f10,f11,f17,f12,f13,f14,f26,f25,f24,f227,f56,f517,f526,f514,f852,f843,f859,f869,f878,f914,f920,f922,f927,f861,f858,f934,f936,f937,f956,f958,f4,f1003,f1005,f513,f238,f889,f880,f879,f897,f794,f892]) ).

fof(f1042,plain,
    ( ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1041]) ).

fof(f1041,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f23,f1,f2,f5,f3,f30,f20,f19,f18,f16,f22,f8,f7,f6,f9,f27,f21,f15,f10,f11,f17,f12,f13,f14,f26,f25,f24,f227,f56,f517,f526,f514,f852,f843,f859,f869,f878,f914,f920,f922,f927,f861,f858,f934,f936,f937,f956,f958,f4,f1003,f1005,f513,f238,f889,f880,f879,f897,f794]) ).

fof(f1040,plain,
    ( ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1039]) ).

fof(f1039,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f23,f1,f2,f5,f3,f30,f20,f19,f18,f16,f22,f8,f7,f6,f9,f27,f21,f15,f10,f11,f17,f12,f13,f14,f26,f25,f24,f227,f56,f517,f526,f514,f852,f843,f859,f869,f794,f878,f914,f920,f922,f927,f861,f858,f934,f936,f937,f956,f958,f4,f1003,f1005,f513,f238,f889,f880,f879,f897]) ).

fof(f1038,plain,
    ( ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1037]) ).

fof(f1037,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f23,f1,f2,f5,f3,f30,f20,f19,f18,f16,f22,f8,f7,f6,f9,f27,f21,f15,f10,f11,f17,f12,f13,f14,f26,f25,f24,f227,f56,f517,f526,f514,f852,f843,f859,f869,f794,f878,f914,f920,f922,f927,f861,f858,f934,f936,f937,f956,f958,f4,f1003,f1005,f513,f238,f889,f880,f879]) ).

fof(f1036,plain,
    ( ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1035]) ).

fof(f1035,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f23,f1,f2,f5,f3,f30,f20,f19,f18,f16,f22,f8,f7,f6,f9,f27,f21,f15,f10,f11,f17,f12,f13,f14,f26,f25,f24,f227,f56,f517,f526,f514,f852,f843,f859,f869,f794,f878,f879,f914,f920,f922,f927,f861,f858,f934,f936,f937,f956,f958,f4,f1003,f1005,f513,f238,f889,f880]) ).

fof(f1034,plain,
    ( ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1033]) ).

fof(f1033,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f23,f1,f2,f5,f3,f30,f20,f19,f18,f16,f22,f8,f7,f6,f9,f27,f21,f15,f10,f11,f17,f12,f13,f14,f26,f25,f24,f227,f56,f517,f526,f514,f852,f843,f859,f869,f794,f880,f878,f879,f914,f920,f922,f927,f861,f858,f934,f936,f937,f956,f958,f4,f1003,f1005,f513,f238,f889]) ).

fof(f1032,plain,
    ( ~ spl0_6
    | spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1031]) ).

fof(f1031,plain,
    ( $false
    | ~ spl0_6
    | spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f224,f23,f1,f2,f5,f3,f30,f20,f19,f18,f16,f22,f8,f7,f6,f9,f27,f21,f15,f10,f11,f17,f12,f13,f14,f26,f25,f24,f227,f56,f517,f526,f758,f514,f852,f843,f859,f869,f914,f920,f922,f927,f861,f858,f934,f936,f937,f956,f958,f4,f961,f963,f1003,f1005,f513,f762,f761,f1001,f1000,f703,f238]) ).

fof(f703,plain,
    ( ! [X4] :
        ( identity != multiply(X4,identity)
        | identity != inverse(X4) )
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f702,f238]) ).

fof(f702,plain,
    ( ! [X4] :
        ( sk_c8 != multiply(X4,sk_c8)
        | identity != inverse(X4) )
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f701,f227]) ).

fof(f701,plain,
    ( ! [X4] :
        ( identity != inverse(X4)
        | sk_c8 != multiply(X4,sk_c7) )
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f700,f238]) ).

fof(f700,plain,
    ( ! [X4] :
        ( sk_c8 != inverse(X4)
        | sk_c8 != multiply(X4,sk_c7) )
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f75,f227]) ).

fof(f1000,plain,
    ( identity != inverse(identity)
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f752]) ).

fof(f752,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(superposition,[],[f703,f1]) ).

fof(f1001,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f753]) ).

fof(f753,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(superposition,[],[f703,f2]) ).

fof(f761,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f753]) ).

fof(f762,plain,
    ( identity != inverse(identity)
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f752]) ).

fof(f963,plain,
    ( ! [X4] :
        ( sk_c8 != multiply(X4,sk_c8)
        | sk_c8 != inverse(X4) )
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f962,f227]) ).

fof(f962,plain,
    ( ! [X4] :
        ( sk_c8 != inverse(X4)
        | sk_c8 != multiply(X4,sk_c7) )
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f75,f227]) ).

fof(f961,plain,
    ( ! [X4] :
        ( sk_c8 != multiply(X4,sk_c8)
        | sk_c8 != inverse(X4) )
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f700,f227]) ).

fof(f758,plain,
    ( ! [X0,X1] :
        ( identity != multiply(X0,multiply(X1,identity))
        | identity != inverse(multiply(X0,X1)) )
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(superposition,[],[f703,f3]) ).

fof(f1030,plain,
    ( ~ spl0_6
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1029]) ).

fof(f1029,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f23,f1,f2,f5,f3,f30,f20,f19,f18,f16,f22,f8,f7,f6,f9,f27,f21,f15,f10,f11,f17,f12,f13,f14,f26,f25,f24,f227,f56,f517,f526,f758,f514,f852,f843,f859,f869,f914,f920,f922,f927,f861,f858,f934,f936,f937,f956,f958,f4,f961,f963,f1003,f1005,f513,f762,f761,f1001,f1000,f703,f238]) ).

fof(f1028,plain,
    ( ~ spl0_6
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1027]) ).

fof(f1027,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f574,f23,f1,f2,f5,f3,f30,f20,f19,f18,f16,f22,f8,f7,f6,f9,f27,f21,f15,f10,f11,f17,f12,f13,f14,f26,f25,f24,f227,f56,f517,f526,f238,f758,f514,f852,f843,f859,f869,f914,f920,f922,f927,f861,f858,f934,f936,f937,f956,f958,f4,f961,f963,f1003,f1005,f513,f762,f761,f1001,f1000,f703]) ).

fof(f574,plain,
    ( identity = multiply(sk_c1,identity)
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(superposition,[],[f413,f238]) ).

fof(f413,plain,
    ( sk_c8 = multiply(sk_c1,sk_c8)
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f244,f227]) ).

fof(f1026,plain,
    ( ~ spl0_6
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1025]) ).

fof(f1025,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f23,f1,f2,f5,f3,f30,f20,f19,f18,f16,f22,f8,f7,f6,f9,f27,f21,f15,f10,f11,f17,f12,f13,f14,f26,f25,f24,f227,f56,f517,f526,f238,f758,f514,f852,f843,f859,f869,f914,f920,f922,f927,f861,f858,f934,f936,f937,f956,f958,f4,f961,f963,f1003,f1005,f513,f762,f761,f1001,f1000,f703]) ).

fof(f1024,plain,
    ( ~ spl0_6
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1023]) ).

fof(f1023,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f612,f23,f1,f2,f5,f3,f30,f20,f19,f18,f16,f22,f8,f7,f6,f9,f27,f21,f15,f10,f11,f17,f12,f13,f14,f26,f25,f24,f227,f56,f517,f526,f238,f703,f758,f514,f852,f843,f859,f869,f914,f920,f922,f927,f861,f858,f934,f936,f937,f956,f958,f4,f961,f963,f1003,f1005,f513,f762,f761,f1001,f1000]) ).

fof(f612,plain,
    ( identity = inverse(inverse(identity))
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f611,f238]) ).

fof(f611,plain,
    ( identity = inverse(inverse(sk_c8))
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f234,f227]) ).

fof(f1022,plain,
    ( ~ spl0_6
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1021]) ).

fof(f1021,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f849,f23,f1,f2,f5,f3,f30,f20,f19,f18,f16,f22,f8,f7,f6,f9,f27,f21,f15,f10,f11,f17,f12,f13,f14,f26,f25,f24,f227,f56,f517,f526,f238,f703,f758,f514,f852,f843,f859,f869,f914,f920,f922,f927,f861,f858,f934,f936,f937,f956,f958,f4,f961,f963,f1003,f1005,f513,f762,f761,f1001,f1000]) ).

fof(f849,plain,
    ( identity = sk_c5
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f848,f2]) ).

fof(f848,plain,
    ( sk_c5 = multiply(inverse(identity),identity)
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f841,f238]) ).

fof(f841,plain,
    ( sk_c5 = multiply(inverse(sk_c8),identity)
    | ~ spl0_7 ),
    inference(superposition,[],[f514,f189]) ).

fof(f1020,plain,
    ( ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1019]) ).

fof(f1019,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f851,f23,f1,f2,f5,f3,f30,f20,f19,f18,f16,f22,f8,f7,f6,f9,f27,f21,f15,f10,f11,f17,f12,f13,f14,f26,f25,f24,f227,f56,f517,f526,f238,f703,f758,f514,f852,f843,f859,f869,f914,f920,f922,f927,f861,f858,f934,f936,f937,f956,f958,f4,f961,f963,f1003,f1005,f513,f762,f761,f1001,f1000]) ).

fof(f851,plain,
    ( identity = sk_c2
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f850,f2]) ).

fof(f850,plain,
    ( sk_c2 = multiply(inverse(identity),identity)
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f842,f238]) ).

fof(f842,plain,
    ( sk_c2 = multiply(inverse(sk_c8),identity)
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(superposition,[],[f514,f416]) ).

fof(f416,plain,
    ( sk_c8 = inverse(sk_c2)
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f193,f227]) ).

fof(f1018,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1017]) ).

fof(f1017,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f1016,f23,f1,f2,f5,f3,f30,f20,f19,f18,f16,f22,f8,f7,f6,f9,f27,f21,f15,f10,f11,f17,f12,f13,f14,f26,f25,f24,f227,f56,f517,f526,f238,f703,f758,f514,f852,f843,f859,f869,f914,f920,f922,f927,f861,f858,f934,f936,f937,f956,f958,f4,f961,f963,f1003,f1005,f513,f762,f761,f1001,f1000]) ).

fof(f1016,plain,
    ( identity != inverse(sk_c8)
    | identity != sk_c8
    | spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1015,f964]) ).

fof(f1015,plain,
    ( identity != sk_c8
    | identity != inverse(inverse(sk_c3))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f745,f85]) ).

fof(f745,plain,
    ( identity != sk_c4
    | identity != inverse(inverse(sk_c3))
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(superposition,[],[f703,f620]) ).

fof(f620,plain,
    ( sk_c4 = multiply(inverse(sk_c3),identity)
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f532,f238]) ).

fof(f1014,plain,
    ( ~ spl0_6
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1013]) ).

fof(f1013,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f23,f1,f2,f5,f3,f30,f20,f19,f18,f16,f22,f8,f7,f6,f9,f27,f21,f15,f10,f11,f17,f12,f13,f14,f26,f25,f24,f227,f56,f517,f526,f238,f703,f758,f514,f852,f843,f859,f869,f914,f920,f922,f927,f861,f858,f934,f936,f937,f956,f958,f4,f961,f963,f1003,f1005,f513,f762,f761,f1001,f1000]) ).

fof(f1012,plain,
    ( ~ spl0_6
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1011]) ).

fof(f1011,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f23,f1,f2,f5,f3,f30,f20,f19,f18,f16,f22,f8,f7,f6,f9,f27,f21,f15,f10,f11,f17,f12,f13,f14,f26,f25,f24,f227,f56,f517,f526,f238,f703,f758,f514,f852,f843,f859,f869,f914,f920,f922,f927,f861,f858,f934,f936,f937,f956,f958,f4,f961,f963,f1003,f1005,f513,f762,f761,f1001]) ).

fof(f1010,plain,
    ( ~ spl0_6
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1009]) ).

fof(f1009,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f23,f1,f2,f5,f3,f30,f20,f19,f18,f16,f22,f8,f7,f6,f9,f27,f21,f15,f10,f11,f17,f12,f13,f14,f26,f25,f24,f227,f56,f517,f526,f238,f703,f758,f514,f852,f843,f859,f869,f914,f920,f922,f927,f861,f858,f934,f936,f937,f956,f958,f4,f961,f963,f1003,f1005,f513,f762,f761]) ).

fof(f1008,plain,
    ( ~ spl0_6
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1007]) ).

fof(f1007,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f23,f1,f2,f5,f3,f30,f20,f19,f18,f16,f22,f8,f7,f6,f9,f27,f21,f15,f10,f11,f17,f12,f13,f14,f26,f25,f24,f227,f56,f517,f526,f238,f703,f758,f514,f852,f843,f859,f869,f914,f920,f922,f927,f861,f858,f934,f936,f937,f956,f958,f4,f961,f963,f1003,f1005,f513,f762]) ).

fof(f999,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f998]) ).

fof(f998,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | spl0_12 ),
    inference(subsumption_resolution,[],[f997,f239]) ).

fof(f997,plain,
    ( identity = sk_c8
    | spl0_1
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f995,f2]) ).

fof(f995,plain,
    ( sk_c8 = multiply(inverse(sk_c8),sk_c8)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(superposition,[],[f56,f989]) ).

fof(f989,plain,
    ( sk_c8 = multiply(sk_c8,sk_c8)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f988,f85]) ).

fof(f988,plain,
    ( sk_c8 = multiply(sk_c4,sk_c8)
    | spl0_1
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f958,f33]) ).

fof(f987,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | spl0_12
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f986]) ).

fof(f986,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | spl0_12
    | spl0_13 ),
    inference(subsumption_resolution,[],[f985,f239]) ).

fof(f985,plain,
    ( identity = sk_c8
    | spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | spl0_13 ),
    inference(forward_demodulation,[],[f983,f2]) ).

fof(f983,plain,
    ( sk_c8 = multiply(inverse(sk_c8),sk_c8)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | spl0_13 ),
    inference(superposition,[],[f56,f975]) ).

fof(f975,plain,
    ( sk_c8 = multiply(sk_c8,sk_c8)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | spl0_13 ),
    inference(forward_demodulation,[],[f939,f85]) ).

fof(f939,plain,
    ( sk_c8 = multiply(sk_c4,sk_c8)
    | ~ spl0_10
    | spl0_13 ),
    inference(forward_demodulation,[],[f373,f227]) ).

fof(f952,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | spl0_13
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f951]) ).

fof(f951,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | spl0_13
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f950,f1]) ).

fof(f950,plain,
    ( sk_c8 != multiply(identity,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | spl0_13
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f327,f227]) ).

fof(f948,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | spl0_13
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f947]) ).

fof(f947,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | spl0_13
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f330,f227]) ).

fof(f913,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f912]) ).

fof(f912,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f911,f614]) ).

fof(f614,plain,
    ( identity = inverse(identity)
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f613,f238]) ).

fof(f613,plain,
    ( identity = inverse(sk_c8)
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f612,f223]) ).

fof(f911,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f910,f463]) ).

fof(f463,plain,
    ( identity = sk_c2
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(superposition,[],[f451,f421]) ).

fof(f421,plain,
    ( identity = multiply(sk_c8,sk_c2)
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(superposition,[],[f2,f416]) ).

fof(f451,plain,
    ( ! [X0] : multiply(sk_c8,X0) = X0
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(superposition,[],[f423,f435]) ).

fof(f435,plain,
    ( ! [X0] : multiply(sk_c2,X0) = X0
    | ~ spl0_1
    | spl0_2
    | ~ spl0_10 ),
    inference(superposition,[],[f434,f183]) ).

fof(f183,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f182,f1]) ).

fof(f182,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c1,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f181]) ).

fof(f434,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c2,multiply(sk_c8,X0))
    | spl0_2
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f389,f227]) ).

fof(f389,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c2,multiply(sk_c7,X0))
    | spl0_2 ),
    inference(superposition,[],[f3,f379]) ).

fof(f379,plain,
    ( sk_c8 = multiply(sk_c2,sk_c7)
    | spl0_2 ),
    inference(global_subsumption,[],[f23,f1,f2,f5,f3,f56,f30,f20,f19,f18,f16,f26,f25,f24,f22,f8,f7,f6,f4,f9,f27,f21,f15,f10,f14,f13,f12,f37,f11,f17]) ).

fof(f37,plain,
    ( sk_c4 != inverse(sk_c3)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f36]) ).

fof(f423,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c2,X0)) = X0
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f422,f1]) ).

fof(f422,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c2,X0))
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(superposition,[],[f3,f421]) ).

fof(f910,plain,
    ( identity != inverse(sk_c2)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f877,f1]) ).

fof(f877,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(sk_c2)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(superposition,[],[f794,f435]) ).

fof(f909,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f908]) ).

fof(f908,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f907,f614]) ).

fof(f907,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f906,f238]) ).

fof(f906,plain,
    ( identity != inverse(sk_c8)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f876,f1]) ).

fof(f876,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(sk_c8)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(superposition,[],[f794,f451]) ).

fof(f905,plain,
    ( ~ spl0_5
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f904]) ).

fof(f904,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f903,f614]) ).

fof(f903,plain,
    ( identity != inverse(identity)
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f902,f238]) ).

fof(f902,plain,
    ( identity != inverse(sk_c8)
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f901,f223]) ).

fof(f901,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f900,f238]) ).

fof(f900,plain,
    ( identity != inverse(inverse(sk_c8))
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f899,f223]) ).

fof(f899,plain,
    ( identity != inverse(inverse(inverse(identity)))
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f898,f238]) ).

fof(f898,plain,
    ( identity != inverse(inverse(inverse(sk_c8)))
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f897,f223]) ).

fof(f896,plain,
    ( ~ spl0_5
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f895]) ).

fof(f895,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f894,f614]) ).

fof(f894,plain,
    ( identity != inverse(identity)
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f893,f238]) ).

fof(f893,plain,
    ( identity != inverse(sk_c8)
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f892,f223]) ).

fof(f891,plain,
    ( ~ spl0_5
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f890]) ).

fof(f890,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f889,f614]) ).

fof(f888,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f887]) ).

fof(f887,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f886,f614]) ).

fof(f886,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f885,f463]) ).

fof(f885,plain,
    ( identity != inverse(sk_c2)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f872,f1]) ).

fof(f872,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(sk_c2)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(superposition,[],[f794,f438]) ).

fof(f438,plain,
    ( identity = multiply(sk_c2,identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_10 ),
    inference(superposition,[],[f434,f181]) ).

fof(f884,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f883]) ).

fof(f883,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f882,f614]) ).

fof(f882,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f881,f238]) ).

fof(f881,plain,
    ( identity != inverse(sk_c8)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f871,f1]) ).

fof(f871,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(sk_c8)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(superposition,[],[f794,f447]) ).

fof(f447,plain,
    ( identity = multiply(sk_c8,identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(superposition,[],[f423,f438]) ).

fof(f833,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f832]) ).

fof(f832,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f831,f37]) ).

fof(f831,plain,
    ( sk_c4 = inverse(sk_c3)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f826,f620]) ).

fof(f826,plain,
    ( inverse(sk_c3) = multiply(inverse(sk_c3),identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_14 ),
    inference(superposition,[],[f56,f810]) ).

fof(f810,plain,
    ( identity = multiply(sk_c3,inverse(sk_c3))
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_14 ),
    inference(superposition,[],[f799,f2]) ).

fof(f799,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(inverse(sk_c3)),X0)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_14 ),
    inference(superposition,[],[f645,f643]) ).

fof(f643,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c3,X0)) = X0
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_14 ),
    inference(superposition,[],[f549,f56]) ).

fof(f549,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c3),X0)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f524,f451]) ).

fof(f524,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c3),multiply(sk_c8,X0))
    | ~ spl0_14 ),
    inference(superposition,[],[f56,f329]) ).

fof(f645,plain,
    ( ! [X0] : multiply(inverse(inverse(sk_c3)),multiply(sk_c4,X0)) = X0
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_14 ),
    inference(superposition,[],[f56,f549]) ).

fof(f830,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f829]) ).

fof(f829,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f828,f37]) ).

fof(f828,plain,
    ( sk_c4 = inverse(sk_c3)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f825,f642]) ).

fof(f642,plain,
    ( sk_c4 = multiply(sk_c4,identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(superposition,[],[f549,f620]) ).

fof(f825,plain,
    ( inverse(sk_c3) = multiply(sk_c4,identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_14 ),
    inference(superposition,[],[f643,f810]) ).

fof(f790,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f789]) ).

fof(f789,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f788,f614]) ).

fof(f788,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f759,f463]) ).

fof(f759,plain,
    ( identity != inverse(sk_c2)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f757]) ).

fof(f757,plain,
    ( identity != identity
    | identity != inverse(sk_c2)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(superposition,[],[f703,f435]) ).

fof(f787,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f786]) ).

fof(f786,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f785,f614]) ).

fof(f785,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f760,f238]) ).

fof(f760,plain,
    ( identity != inverse(sk_c8)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f756]) ).

fof(f756,plain,
    ( identity != identity
    | identity != inverse(sk_c8)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(superposition,[],[f703,f451]) ).

fof(f780,plain,
    ( ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f779]) ).

fof(f779,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f778,f614]) ).

fof(f778,plain,
    ( identity != inverse(identity)
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f777,f238]) ).

fof(f777,plain,
    ( identity != inverse(sk_c8)
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f761,f223]) ).

fof(f776,plain,
    ( ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f775]) ).

fof(f775,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f762,f614]) ).

fof(f774,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f773]) ).

fof(f773,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f772,f614]) ).

fof(f772,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f763,f463]) ).

fof(f763,plain,
    ( identity != inverse(sk_c2)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f751]) ).

fof(f751,plain,
    ( identity != identity
    | identity != inverse(sk_c2)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(superposition,[],[f703,f438]) ).

fof(f767,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f766]) ).

fof(f766,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f765,f614]) ).

fof(f765,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f764,f238]) ).

fof(f764,plain,
    ( identity != inverse(sk_c8)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f748]) ).

fof(f748,plain,
    ( identity != identity
    | identity != inverse(sk_c8)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(superposition,[],[f703,f447]) ).

fof(f698,plain,
    ( ~ spl0_3
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f697]) ).

fof(f697,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f696,f1]) ).

fof(f696,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f695,f238]) ).

fof(f695,plain,
    ( identity != multiply(identity,sk_c8)
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f667,f223]) ).

fof(f667,plain,
    ( identity != multiply(identity,inverse(identity))
    | ~ spl0_3
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f665]) ).

fof(f665,plain,
    ( identity != identity
    | identity != multiply(identity,inverse(identity))
    | ~ spl0_3
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(superposition,[],[f628,f2]) ).

fof(f628,plain,
    ( ! [X5] :
        ( identity != multiply(inverse(X5),identity)
        | identity != multiply(X5,inverse(X5)) )
    | ~ spl0_3
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f627,f238]) ).

fof(f627,plain,
    ( ! [X5] :
        ( identity != multiply(inverse(X5),identity)
        | sk_c8 != multiply(X5,inverse(X5)) )
    | ~ spl0_3
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f567,f238]) ).

fof(f567,plain,
    ( ! [X5] :
        ( sk_c8 != multiply(inverse(X5),sk_c8)
        | sk_c8 != multiply(X5,inverse(X5)) )
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f66,f227]) ).

fof(f694,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f693]) ).

fof(f693,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f692,f438]) ).

fof(f692,plain,
    ( identity != multiply(sk_c2,identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f691,f238]) ).

fof(f691,plain,
    ( identity != multiply(sk_c2,sk_c8)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f690,f416]) ).

fof(f690,plain,
    ( identity != multiply(sk_c2,inverse(sk_c2))
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f663,f447]) ).

fof(f663,plain,
    ( identity != multiply(sk_c8,identity)
    | identity != multiply(sk_c2,inverse(sk_c2))
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(superposition,[],[f628,f416]) ).

fof(f689,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f688]) ).

fof(f688,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f687,f1]) ).

fof(f687,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f686,f342]) ).

fof(f342,plain,
    ( identity = sk_c5
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(superposition,[],[f337,f218]) ).

fof(f218,plain,
    ( identity = multiply(sk_c8,sk_c5)
    | ~ spl0_7 ),
    inference(superposition,[],[f2,f189]) ).

fof(f686,plain,
    ( identity != multiply(sk_c5,identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f685,f238]) ).

fof(f685,plain,
    ( identity != multiply(sk_c5,sk_c8)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f684,f189]) ).

fof(f684,plain,
    ( identity != multiply(sk_c5,inverse(sk_c5))
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f662,f447]) ).

fof(f662,plain,
    ( identity != multiply(sk_c8,identity)
    | identity != multiply(sk_c5,inverse(sk_c5))
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(superposition,[],[f628,f189]) ).

fof(f683,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f682]) ).

fof(f682,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f681,f1]) ).

fof(f681,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f680,f460]) ).

fof(f460,plain,
    ( identity = sk_c1
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(superposition,[],[f451,f181]) ).

fof(f680,plain,
    ( identity != multiply(sk_c1,identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f679,f238]) ).

fof(f679,plain,
    ( identity != multiply(sk_c1,sk_c8)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f678,f34]) ).

fof(f678,plain,
    ( identity != multiply(sk_c1,inverse(sk_c1))
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f661,f447]) ).

fof(f661,plain,
    ( identity != multiply(sk_c8,identity)
    | identity != multiply(sk_c1,inverse(sk_c1))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(superposition,[],[f628,f34]) ).

fof(f677,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f676]) ).

fof(f676,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f675,f1]) ).

fof(f675,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f674,f238]) ).

fof(f674,plain,
    ( identity != multiply(identity,sk_c8)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f673,f223]) ).

fof(f673,plain,
    ( identity != multiply(identity,inverse(identity))
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f660,f447]) ).

fof(f660,plain,
    ( identity != multiply(sk_c8,identity)
    | identity != multiply(identity,inverse(identity))
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(superposition,[],[f628,f223]) ).

fof(f672,plain,
    ( ~ spl0_3
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f671]) ).

fof(f671,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f670,f1]) ).

fof(f670,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f669,f238]) ).

fof(f669,plain,
    ( identity != multiply(identity,sk_c8)
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f668,f223]) ).

fof(f668,plain,
    ( identity != multiply(identity,inverse(identity))
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f659,f1]) ).

fof(f659,plain,
    ( identity != multiply(identity,identity)
    | identity != multiply(identity,inverse(identity))
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(superposition,[],[f628,f614]) ).

fof(f610,plain,
    ( ~ spl0_9
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f609]) ).

fof(f609,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f608,f238]) ).

fof(f608,plain,
    ( identity != sk_c8
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(superposition,[],[f590,f223]) ).

fof(f590,plain,
    ( identity != inverse(identity)
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f589,f238]) ).

fof(f589,plain,
    ( identity != inverse(sk_c8)
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f573,f223]) ).

fof(f573,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(superposition,[],[f412,f238]) ).

fof(f412,plain,
    ( identity != inverse(inverse(sk_c8))
    | ~ spl0_10
    | spl0_11 ),
    inference(superposition,[],[f235,f227]) ).

fof(f235,plain,
    ( identity != inverse(inverse(sk_c7))
    | spl0_11 ),
    inference(avatar_component_clause,[],[f233]) ).

fof(f559,plain,
    ( ~ spl0_1
    | ~ spl0_10
    | spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f558]) ).

fof(f558,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_10
    | spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f557,f239]) ).

fof(f557,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f556,f2]) ).

fof(f556,plain,
    ( sk_c8 = multiply(inverse(sk_c8),sk_c8)
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f529,f227]) ).

fof(f529,plain,
    ( sk_c8 = multiply(inverse(sk_c8),sk_c7)
    | ~ spl0_1
    | ~ spl0_13 ),
    inference(superposition,[],[f56,f313]) ).

fof(f313,plain,
    ( sk_c7 = multiply(sk_c8,sk_c8)
    | ~ spl0_1
    | ~ spl0_13 ),
    inference(superposition,[],[f183,f244]) ).

fof(f555,plain,
    ( ~ spl0_1
    | ~ spl0_10
    | spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f554]) ).

fof(f554,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_10
    | spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f553,f239]) ).

fof(f553,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f528,f2]) ).

fof(f528,plain,
    ( sk_c8 = multiply(inverse(sk_c8),sk_c8)
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f56,f424]) ).

fof(f424,plain,
    ( sk_c8 = multiply(sk_c8,sk_c8)
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f183,f413]) ).

fof(f480,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f479]) ).

fof(f479,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f473,f224]) ).

fof(f473,plain,
    ( sk_c8 = inverse(identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(superposition,[],[f34,f460]) ).

fof(f411,plain,
    ( spl0_2
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f410]) ).

fof(f410,plain,
    ( $false
    | spl0_2
    | spl0_8 ),
    inference(global_subsumption,[],[f23,f1,f2,f5,f3,f56,f30,f20,f19,f18,f16,f22,f8,f7,f6,f4,f9,f27,f21,f15,f10,f11,f17,f12,f13,f14,f37,f379,f389,f406,f26,f407,f25,f408,f24,f409,f192]) ).

fof(f409,plain,
    ( sk_c7 = inverse(sk_c2)
    | spl0_2 ),
    inference(global_subsumption,[],[f23,f1,f2,f5,f3,f56,f30,f20,f19,f18,f16,f22,f8,f7,f6,f4,f9,f27,f21,f15,f10,f11,f17,f12,f13,f14,f37,f379,f389,f406,f26,f407,f25,f408,f24]) ).

fof(f408,plain,
    ( sk_c7 = inverse(sk_c2)
    | spl0_2 ),
    inference(global_subsumption,[],[f23,f1,f2,f5,f3,f56,f30,f20,f19,f18,f16,f24,f22,f8,f7,f6,f4,f9,f27,f21,f15,f10,f11,f17,f12,f13,f14,f37,f379,f389,f406,f26,f407,f25]) ).

fof(f407,plain,
    ( sk_c7 = inverse(sk_c2)
    | spl0_2 ),
    inference(global_subsumption,[],[f23,f1,f2,f5,f3,f56,f30,f20,f19,f18,f16,f25,f24,f22,f8,f7,f6,f4,f9,f27,f21,f15,f10,f11,f17,f12,f13,f14,f37,f379,f389,f406,f26]) ).

fof(f406,plain,
    ( sk_c7 = inverse(sk_c2)
    | spl0_2 ),
    inference(subsumption_resolution,[],[f23,f37]) ).

fof(f403,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | spl0_10
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f402]) ).

fof(f402,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | spl0_10
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f401,f228]) ).

fof(f401,plain,
    ( sk_c8 = sk_c7
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f400,f244]) ).

fof(f400,plain,
    ( sk_c7 = multiply(sk_c1,sk_c7)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f396,f313]) ).

fof(f396,plain,
    ( multiply(sk_c1,sk_c7) = multiply(sk_c8,sk_c8)
    | spl0_2
    | ~ spl0_8
    | ~ spl0_13 ),
    inference(superposition,[],[f387,f388]) ).

fof(f388,plain,
    ( sk_c7 = multiply(sk_c7,sk_c8)
    | spl0_2
    | ~ spl0_8 ),
    inference(superposition,[],[f197,f379]) ).

fof(f197,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c2,X0)) = X0
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f196,f1]) ).

fof(f196,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c2,X0))
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f195]) ).

fof(f195,plain,
    ( identity = multiply(sk_c7,sk_c2)
    | ~ spl0_8 ),
    inference(superposition,[],[f2,f193]) ).

fof(f387,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c1,multiply(sk_c7,X0))
    | ~ spl0_13 ),
    inference(superposition,[],[f3,f244]) ).

fof(f385,plain,
    ( ~ spl0_1
    | ~ spl0_9
    | spl0_10
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f384]) ).

fof(f384,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_9
    | spl0_10
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f383,f228]) ).

fof(f383,plain,
    ( sk_c8 = sk_c7
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f313,f337]) ).

fof(f377,plain,
    ( spl0_2
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f376]) ).

fof(f376,plain,
    ( $false
    | spl0_2
    | spl0_13 ),
    inference(global_subsumption,[],[f23,f1,f2,f5,f3,f56,f30,f20,f19,f18,f16,f26,f25,f24,f22,f8,f7,f6,f4,f9,f27,f21,f15,f10,f14,f371,f13,f372,f12,f373,f243,f17,f374,f11,f375,f37]) ).

fof(f370,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_9
    | spl0_10
    | spl0_13
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f369]) ).

fof(f369,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_9
    | spl0_10
    | spl0_13
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f368,f327]) ).

fof(f368,plain,
    ( sk_c8 = multiply(identity,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_9
    | spl0_10
    | spl0_13
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f367,f296]) ).

fof(f367,plain,
    ( sk_c8 = multiply(sk_c1,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_9
    | spl0_10
    | spl0_13
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f366,f228]) ).

fof(f366,plain,
    ( sk_c8 = sk_c7
    | sk_c8 = multiply(sk_c1,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_9
    | spl0_13
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f365,f357]) ).

fof(f365,plain,
    ( sk_c8 = sk_c6
    | sk_c8 = multiply(sk_c1,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f364,f1]) ).

fof(f364,plain,
    ( sk_c6 = multiply(identity,sk_c8)
    | sk_c8 = multiply(sk_c1,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f14,f297]) ).

fof(f297,plain,
    ( identity = sk_c5
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(superposition,[],[f293,f218]) ).

fof(f317,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f316]) ).

fof(f316,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f315,f34]) ).

fof(f315,plain,
    ( inverse(sk_c1) != sk_c8
    | ~ spl0_4
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f312]) ).

fof(f312,plain,
    ( sk_c8 != sk_c8
    | inverse(sk_c1) != sk_c8
    | ~ spl0_4
    | ~ spl0_13 ),
    inference(superposition,[],[f69,f244]) ).

fof(f69,plain,
    ( ! [X3] :
        ( sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != inverse(X3) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f68]) ).

fof(f68,plain,
    ( spl0_4
  <=> ! [X3] :
        ( sk_c8 != inverse(X3)
        | sk_c8 != multiply(X3,sk_c7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f311,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f310]) ).

fof(f310,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f308,f224]) ).

fof(f308,plain,
    ( sk_c8 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_14 ),
    inference(superposition,[],[f34,f296]) ).

fof(f249,plain,
    ( spl0_13
    | spl0_14 ),
    inference(avatar_split_clause,[],[f10,f246,f242]) ).

fof(f240,plain,
    ( ~ spl0_11
    | ~ spl0_12
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f217,f68,f237,f233]) ).

fof(f217,plain,
    ( identity != sk_c8
    | identity != inverse(inverse(sk_c7))
    | ~ spl0_4 ),
    inference(inner_rewriting,[],[f211]) ).

fof(f211,plain,
    ( identity != sk_c8
    | sk_c8 != inverse(inverse(sk_c7))
    | ~ spl0_4 ),
    inference(superposition,[],[f69,f2]) ).

fof(f229,plain,
    ( ~ spl0_9
    | ~ spl0_10
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f210,f68,f226,f222]) ).

fof(f210,plain,
    ( sk_c8 != sk_c7
    | sk_c8 != inverse(identity)
    | ~ spl0_4 ),
    inference(superposition,[],[f69,f1]) ).

fof(f216,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f215]) ).

fof(f215,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | spl0_7 ),
    inference(subsumption_resolution,[],[f214,f34]) ).

fof(f214,plain,
    ( inverse(sk_c1) != sk_c8
    | ~ spl0_4
    | spl0_7 ),
    inference(trivial_inequality_removal,[],[f208]) ).

fof(f208,plain,
    ( sk_c8 != sk_c8
    | inverse(sk_c1) != sk_c8
    | ~ spl0_4
    | spl0_7 ),
    inference(superposition,[],[f69,f200]) ).

fof(f194,plain,
    ( spl0_7
    | spl0_8 ),
    inference(avatar_split_clause,[],[f27,f191,f187]) ).

fof(f180,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f179]) ).

fof(f179,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f178,f85]) ).

fof(f178,plain,
    ( sk_c8 != sk_c4
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(superposition,[],[f169,f38]) ).

fof(f169,plain,
    ( sk_c8 != inverse(sk_c3)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f159]) ).

fof(f159,plain,
    ( sk_c8 != sk_c8
    | sk_c8 != inverse(sk_c3)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(superposition,[],[f148,f89]) ).

fof(f89,plain,
    ( sk_c8 = multiply(sk_c3,sk_c8)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f43,f85]) ).

fof(f148,plain,
    ( ! [X3] :
        ( sk_c8 != multiply(X3,sk_c8)
        | sk_c8 != inverse(X3) )
    | spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f69,f81]) ).

fof(f144,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_contradiction_clause,[],[f143]) ).

fof(f143,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f142,f43]) ).

fof(f142,plain,
    ( sk_c8 != multiply(sk_c3,sk_c4)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f141,f38]) ).

fof(f141,plain,
    ( sk_c8 != multiply(sk_c3,inverse(sk_c3))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f138,f84]) ).

fof(f138,plain,
    ( sk_c8 != multiply(sk_c4,sk_c8)
    | sk_c8 != multiply(sk_c3,inverse(sk_c3))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f100,f38]) ).

fof(f100,plain,
    ( ! [X5] :
        ( sk_c8 != multiply(inverse(X5),sk_c8)
        | sk_c8 != multiply(X5,inverse(X5)) )
    | spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f66,f81]) ).

fof(f76,plain,
    ( spl0_3
    | spl0_4
    | spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f30,f74,f71,f68,f65]) ).

fof(f39,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f5,f36,f32]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : GRP230-1 : TPTP v8.1.2. Released v2.5.0.
% 0.10/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34  % Computer : n015.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Apr 30 04:53:47 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  % (11883)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36  % (11886)WARNING: value z3 for option sas not known
% 0.13/0.36  % (11884)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.36  % (11886)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)
% 0.13/0.37  % (11888)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)
% 0.13/0.37  % (11890)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)
% 0.13/0.37  % (11887)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37  % (11885)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37  % (11889)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)
% 0.13/0.37  TRYING [1]
% 0.13/0.37  TRYING [2]
% 0.13/0.37  TRYING [1]
% 0.13/0.37  TRYING [2]
% 0.13/0.37  TRYING [3]
% 0.13/0.38  TRYING [3]
% 0.13/0.38  TRYING [4]
% 0.13/0.39  TRYING [4]
% 0.13/0.39  TRYING [5]
% 0.13/0.41  % (11886)First to succeed.
% 0.18/0.42  % (11886)Refutation found. Thanks to Tanya!
% 0.18/0.42  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.42  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.43  % (11886)------------------------------
% 0.18/0.43  % (11886)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.18/0.43  % (11886)Termination reason: Refutation
% 0.18/0.43  
% 0.18/0.43  % (11886)Memory used [KB]: 1395
% 0.18/0.43  % (11886)Time elapsed: 0.053 s
% 0.18/0.43  % (11886)Instructions burned: 111 (million)
% 0.18/0.43  % (11886)------------------------------
% 0.18/0.43  % (11886)------------------------------
% 0.18/0.43  % (11883)Success in time 0.075 s
%------------------------------------------------------------------------------