%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GRP361-1 : 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 : n032.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 06:05:46 EDT 2024

% Result   : Unsatisfiable 0.14s 0.35s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :   45
% Syntax   : Number of formulae    :  671 (  48 unt;   0 def)
%            Number of atoms       : 2520 ( 889 equ)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives : 3366 (1517   ~;1838   |;   0   &)
%                                         (  11 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   5 avg)
%            Maximal term depth    :    6 (   1 avg)
%            Number of predicates  :   13 (  11 usr;  12 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :  250 ( 250   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1719,plain,
    $false,
    inference(avatar_sat_refutation,[],[f44,f242,f267,f485,f497,f631,f740,f788,f889,f941,f944,f953,f967,f982,f1344,f1372,f1377,f1382,f1386,f1390,f1395,f1397,f1399,f1401,f1404,f1407,f1414,f1420,f1433,f1436,f1453,f1455,f1457,f1459,f1461,f1464,f1468,f1473,f1479,f1486,f1515,f1520,f1527,f1530,f1532,f1535,f1537,f1539,f1543,f1545,f1548,f1550,f1553,f1555,f1557,f1559,f1561,f1563,f1565,f1567,f1569,f1571,f1573,f1575,f1577,f1581,f1583,f1590,f1593,f1595,f1600,f1605,f1613,f1616,f1619,f1622,f1625,f1627,f1629,f1632,f1659,f1713,f1716]) ).

fof(f1716,plain,
    ( spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1715]) ).

fof(f1715,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(subsumption_resolution,[],[f1714,f887]) ).

fof(f887,plain,
    ( identity != sk_c5
    | spl0_10 ),
    inference(avatar_component_clause,[],[f886]) ).

fof(f886,plain,
    ( spl0_10
  <=> identity = sk_c5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f1714,plain,
    ( identity = sk_c5
    | spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f287,f266]) ).

fof(f266,plain,
    ( identity = sk_c6
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f264]) ).

fof(f264,plain,
    ( spl0_6
  <=> identity = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f287,plain,
    ( sk_c6 = sk_c5
    | spl0_2 ),
    inference(forward_demodulation,[],[f285,f278]) ).

fof(f278,plain,
    ( sk_c6 = multiply(sk_c5,sk_c7)
    | spl0_2 ),
    inference(subsumption_resolution,[],[f11,f42]) ).

fof(f42,plain,
    ( sk_c5 != inverse(sk_c7)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f41]) ).

fof(f41,plain,
    ( spl0_2
  <=> sk_c5 = inverse(sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

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

fof(f285,plain,
    ( sk_c5 = multiply(sk_c5,sk_c7)
    | spl0_2 ),
    inference(superposition,[],[f273,f284]) ).

fof(f284,plain,
    ( sk_c7 = multiply(sk_c4,sk_c5)
    | spl0_2 ),
    inference(subsumption_resolution,[],[f14,f42]) ).

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

fof(f273,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c4,X0)) = X0
    | spl0_2 ),
    inference(forward_demodulation,[],[f272,f1]) ).

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

fof(f272,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c4,X0))
    | spl0_2 ),
    inference(superposition,[],[f3,f271]) ).

fof(f271,plain,
    ( identity = multiply(sk_c5,sk_c4)
    | spl0_2 ),
    inference(superposition,[],[f2,f270]) ).

fof(f270,plain,
    ( sk_c5 = inverse(sk_c4)
    | spl0_2 ),
    inference(subsumption_resolution,[],[f15,f42]) ).

fof(f15,axiom,
    ( sk_c5 = inverse(sk_c4)
    | sk_c5 = inverse(sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).

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

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

fof(f1713,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_6 ),
    inference(avatar_contradiction_clause,[],[f1712]) ).

fof(f1712,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f1711,f776]) ).

fof(f776,plain,
    identity = inverse(identity),
    inference(superposition,[],[f688,f2]) ).

fof(f688,plain,
    ! [X0] : multiply(inverse(inverse(identity)),X0) = X0,
    inference(superposition,[],[f59,f432]) ).

fof(f432,plain,
    ! [X0] : multiply(inverse(identity),X0) = X0,
    inference(superposition,[],[f59,f1]) ).

fof(f59,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f52,f1]) ).

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

fof(f1711,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f327,f266]) ).

fof(f327,plain,
    ( sk_c6 != inverse(sk_c6)
    | ~ spl0_1
    | spl0_2 ),
    inference(forward_demodulation,[],[f320,f287]) ).

fof(f320,plain,
    ( sk_c5 != inverse(sk_c6)
    | ~ spl0_1
    | spl0_2 ),
    inference(superposition,[],[f42,f316]) ).

fof(f316,plain,
    ( sk_c6 = sk_c7
    | ~ spl0_1
    | spl0_2 ),
    inference(superposition,[],[f313,f280]) ).

fof(f280,plain,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | spl0_2 ),
    inference(subsumption_resolution,[],[f13,f42]) ).

fof(f13,axiom,
    ( sk_c5 = inverse(sk_c7)
    | sk_c7 = multiply(sk_c3,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).

fof(f313,plain,
    ( sk_c6 = multiply(sk_c3,sk_c6)
    | ~ spl0_1
    | spl0_2 ),
    inference(forward_demodulation,[],[f312,f281]) ).

fof(f281,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | spl0_2 ),
    inference(superposition,[],[f256,f280]) ).

fof(f256,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f255,f1]) ).

fof(f255,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c3,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f253]) ).

fof(f253,plain,
    ( identity = multiply(sk_c7,sk_c3)
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f39]) ).

fof(f39,plain,
    ( sk_c7 = inverse(sk_c3)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f37]) ).

fof(f37,plain,
    ( spl0_1
  <=> sk_c7 = inverse(sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f312,plain,
    ( multiply(sk_c3,sk_c6) = multiply(sk_c7,sk_c7)
    | spl0_2 ),
    inference(forward_demodulation,[],[f307,f287]) ).

fof(f307,plain,
    ( multiply(sk_c7,sk_c7) = multiply(sk_c3,sk_c5)
    | spl0_2 ),
    inference(superposition,[],[f282,f276]) ).

fof(f276,plain,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | spl0_2 ),
    inference(subsumption_resolution,[],[f10,f42]) ).

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

fof(f282,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c6,X0))
    | spl0_2 ),
    inference(superposition,[],[f3,f280]) ).

fof(f1659,plain,
    ( ~ spl0_2
    | spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1658]) ).

fof(f1658,plain,
    ( $false
    | ~ spl0_2
    | spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | spl0_10 ),
    inference(subsumption_resolution,[],[f1657,f887]) ).

fof(f1657,plain,
    ( identity = sk_c5
    | ~ spl0_2
    | spl0_5
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1656,f796]) ).

fof(f796,plain,
    ( identity = multiply(sk_c5,sk_c5)
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(superposition,[],[f531,f739]) ).

fof(f739,plain,
    ( sk_c5 = sk_c7
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f737]) ).

fof(f737,plain,
    ( spl0_8
  <=> sk_c5 = sk_c7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f531,plain,
    ( identity = multiply(sk_c5,sk_c7)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f43]) ).

fof(f43,plain,
    ( sk_c5 = inverse(sk_c7)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f41]) ).

fof(f1656,plain,
    ( sk_c5 = multiply(sk_c5,sk_c5)
    | ~ spl0_2
    | spl0_5
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1635,f1645]) ).

fof(f1645,plain,
    ( sk_c5 = sk_c4
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f747,f739]) ).

fof(f747,plain,
    ( sk_c7 = sk_c4
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f744,f542]) ).

fof(f542,plain,
    ( sk_c7 = multiply(inverse(sk_c5),identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f59,f531]) ).

fof(f744,plain,
    ( sk_c4 = multiply(inverse(sk_c5),identity)
    | ~ spl0_7 ),
    inference(superposition,[],[f59,f742]) ).

fof(f742,plain,
    ( identity = multiply(sk_c5,sk_c4)
    | ~ spl0_7 ),
    inference(superposition,[],[f2,f735]) ).

fof(f735,plain,
    ( sk_c5 = inverse(sk_c4)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f733]) ).

fof(f733,plain,
    ( spl0_7
  <=> sk_c5 = inverse(sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f1635,plain,
    ( sk_c5 = multiply(sk_c4,sk_c5)
    | spl0_5
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f24,f18,f6,f30,f35,f261,f59,f436,f23,f17,f5,f32,f31,f29,f28,f14,f13,f11,f10,f33,f15,f9,f21,f27,f4,f7,f8,f16,f19,f20,f22,f25,f26,f432,f433,f775,f688,f778,f779,f739,f776,f769,f1099,f1121,f443,f1138,f1139,f1142,f1143,f1133,f1189,f1166,f1196,f1153,f1211,f1212,f1131,f1238,f1275,f1251,f1134,f1304,f1316,f1579,f1511,f1591,f958,f1614,f1611,f1598]) ).

fof(f1598,plain,
    ( sk_c5 = multiply(sk_c4,sk_c5)
    | sk_c5 = inverse(sk_c1)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1597,f739]) ).

fof(f1597,plain,
    ( sk_c5 = inverse(sk_c1)
    | sk_c7 = multiply(sk_c4,sk_c5)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f32,f739]) ).

fof(f1611,plain,
    ( sk_c5 = inverse(sk_c1)
    | sk_c5 = inverse(sk_c4)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f33,f739]) ).

fof(f1614,plain,
    ( sk_c5 != inverse(sk_c1)
    | spl0_5
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f261,f739]) ).

fof(f958,plain,
    ( sk_c2 = multiply(sk_c1,sk_c5)
    | sk_c5 = inverse(sk_c4)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f27,f739]) ).

fof(f1591,plain,
    ( sk_c5 = multiply(sk_c4,sk_c5)
    | sk_c2 = multiply(sk_c1,sk_c5)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f920,f739]) ).

fof(f920,plain,
    ( sk_c2 = multiply(sk_c1,sk_c5)
    | sk_c7 = multiply(sk_c4,sk_c5)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f26,f739]) ).

fof(f1511,plain,
    ( sk_c2 = multiply(sk_c1,sk_c5)
    | sk_c5 = inverse(sk_c3)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1510,f739]) ).

fof(f1510,plain,
    ( sk_c5 = inverse(sk_c3)
    | sk_c2 = multiply(sk_c1,sk_c7)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f24,f739]) ).

fof(f1579,plain,
    ( sk_c5 = inverse(sk_c1)
    | sk_c5 = inverse(sk_c3)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1578,f739]) ).

fof(f1578,plain,
    ( sk_c5 = inverse(sk_c3)
    | sk_c7 = inverse(sk_c1)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f30,f739]) ).

fof(f1316,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
    inference(superposition,[],[f3,f1134]) ).

fof(f1304,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
    inference(superposition,[],[f1134,f3]) ).

fof(f1134,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f443,f59]) ).

fof(f1251,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
    inference(superposition,[],[f3,f1131]) ).

fof(f1275,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(forward_demodulation,[],[f1249,f1]) ).

fof(f1249,plain,
    ! [X0,X1] : multiply(identity,X1) = multiply(X0,multiply(inverse(X0),X1)),
    inference(superposition,[],[f3,f1131]) ).

fof(f1238,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
    inference(superposition,[],[f1131,f3]) ).

fof(f1131,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f443,f2]) ).

fof(f1212,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f2,f1153]) ).

fof(f1211,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f59,f1153]) ).

fof(f1153,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(superposition,[],[f1133,f433]) ).

fof(f1196,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(forward_demodulation,[],[f1181,f1133]) ).

fof(f1181,plain,
    ! [X0] : multiply(X0,identity) = inverse(inverse(X0)),
    inference(superposition,[],[f443,f1133]) ).

fof(f1166,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(superposition,[],[f433,f1133]) ).

fof(f1189,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(forward_demodulation,[],[f1162,f1133]) ).

fof(f1162,plain,
    ! [X0] : multiply(X0,identity) = inverse(inverse(X0)),
    inference(superposition,[],[f1133,f443]) ).

fof(f1133,plain,
    ! [X0] : multiply(X0,identity) = X0,
    inference(superposition,[],[f443,f433]) ).

fof(f1143,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f59,f443]) ).

fof(f1142,plain,
    ! [X0] : multiply(X0,identity) = X0,
    inference(superposition,[],[f433,f443]) ).

fof(f1139,plain,
    ! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
    inference(superposition,[],[f59,f443]) ).

fof(f1138,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f2,f443]) ).

fof(f443,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
    inference(superposition,[],[f59,f59]) ).

fof(f1121,plain,
    ! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f1100,f1]) ).

fof(f1100,plain,
    ! [X0,X1] : multiply(identity,X1) = multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)),
    inference(superposition,[],[f3,f769]) ).

fof(f1099,plain,
    ! [X0] : multiply(inverse(inverse(inverse(inverse(X0)))),identity) = X0,
    inference(superposition,[],[f59,f769]) ).

fof(f769,plain,
    ! [X0] : identity = multiply(inverse(inverse(inverse(X0))),X0),
    inference(superposition,[],[f59,f433]) ).

fof(f779,plain,
    ! [X0] : multiply(inverse(inverse(inverse(identity))),X0) = X0,
    inference(superposition,[],[f59,f688]) ).

fof(f778,plain,
    identity = inverse(identity),
    inference(superposition,[],[f2,f688]) ).

fof(f775,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
    inference(forward_demodulation,[],[f770,f1]) ).

fof(f770,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),multiply(identity,X1)),
    inference(superposition,[],[f3,f433]) ).

fof(f433,plain,
    ! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[],[f59,f2]) ).

fof(f26,axiom,
    ( sk_c2 = multiply(sk_c1,sk_c7)
    | sk_c7 = multiply(sk_c4,sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).

fof(f25,axiom,
    ( sk_c2 = multiply(sk_c1,sk_c7)
    | sk_c7 = multiply(sk_c3,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).

fof(f22,axiom,
    ( sk_c2 = multiply(sk_c1,sk_c7)
    | sk_c5 = multiply(sk_c6,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).

fof(f20,axiom,
    ( sk_c6 = multiply(sk_c7,sk_c2)
    | sk_c7 = multiply(sk_c4,sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).

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

fof(f16,axiom,
    ( sk_c6 = multiply(sk_c7,sk_c2)
    | sk_c5 = multiply(sk_c6,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).

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

fof(f7,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | multiply(sk_c6,sk_c5) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).

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

fof(f27,axiom,
    ( sk_c5 = inverse(sk_c4)
    | sk_c2 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).

fof(f21,axiom,
    ( sk_c5 = inverse(sk_c4)
    | sk_c6 = multiply(sk_c7,sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).

fof(f9,axiom,
    ( sk_c5 = inverse(sk_c4)
    | multiply(sk_c6,sk_c5) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).

fof(f33,axiom,
    ( sk_c5 = inverse(sk_c4)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).

fof(f28,axiom,
    ( sk_c7 = inverse(sk_c1)
    | sk_c5 = multiply(sk_c6,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).

fof(f29,axiom,
    ( sk_c7 = inverse(sk_c1)
    | sk_c6 = multiply(sk_c5,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).

fof(f31,axiom,
    ( sk_c7 = inverse(sk_c1)
    | sk_c7 = multiply(sk_c3,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).

fof(f32,axiom,
    ( sk_c7 = inverse(sk_c1)
    | sk_c7 = multiply(sk_c4,sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).

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

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

fof(f23,axiom,
    ( sk_c2 = multiply(sk_c1,sk_c7)
    | sk_c6 = multiply(sk_c5,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).

fof(f436,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
    inference(superposition,[],[f59,f3]) ).

fof(f261,plain,
    ( sk_c7 != inverse(sk_c1)
    | spl0_5 ),
    inference(avatar_component_clause,[],[f260]) ).

fof(f260,plain,
    ( spl0_5
  <=> sk_c7 = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f35,plain,
    ! [X6,X4,X5] :
      ( sk_c5 != inverse(sk_c7)
      | sk_c5 != inverse(X6)
      | sk_c7 != inverse(X4)
      | sk_c7 != inverse(X5)
      | sk_c6 != multiply(sk_c5,sk_c7)
      | sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
      | sk_c5 != multiply(sk_c6,sk_c7)
      | sk_c7 != multiply(X5,sk_c6)
      | sk_c7 != multiply(X6,sk_c5)
      | multiply(sk_c6,sk_c5) != sk_c7 ),
    inference(equality_resolution,[],[f34]) ).

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

fof(f30,axiom,
    ( sk_c7 = inverse(sk_c3)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).

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

fof(f18,axiom,
    ( sk_c7 = inverse(sk_c3)
    | sk_c6 = multiply(sk_c7,sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).

fof(f24,axiom,
    ( sk_c7 = inverse(sk_c3)
    | sk_c2 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).

fof(f12,axiom,
    ( sk_c5 = inverse(sk_c7)
    | sk_c7 = inverse(sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).

fof(f1632,plain,
    ( ~ spl0_1
    | spl0_5
    | spl0_7
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1631]) ).

fof(f1631,plain,
    ( $false
    | ~ spl0_1
    | spl0_5
    | spl0_7
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f1630,f1,f2,f12,f3,f24,f18,f6,f30,f35,f261,f59,f436,f23,f17,f5,f32,f31,f29,f28,f14,f13,f11,f10,f33,f15,f9,f21,f27,f4,f7,f8,f16,f19,f20,f22,f25,f26,f432,f433,f775,f688,f778,f779,f776,f769,f1099,f1121,f443,f1138,f1139,f1142,f1143,f1133,f1189,f1166,f1196,f1153,f1211,f1212,f1131,f1238,f1275,f1251,f1134,f1304,f1316,f734]) ).

fof(f734,plain,
    ( sk_c5 != inverse(sk_c4)
    | spl0_7 ),
    inference(avatar_component_clause,[],[f733]) ).

fof(f1630,plain,
    ( sk_c5 = inverse(sk_c3)
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f39,f739]) ).

fof(f1629,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1628]) ).

fof(f1628,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f984,f1,f2,f12,f3,f24,f18,f6,f30,f35,f261,f59,f436,f23,f17,f5,f32,f31,f29,f28,f14,f13,f11,f10,f33,f15,f9,f21,f27,f4,f7,f8,f16,f19,f20,f22,f25,f26,f432,f433,f775,f688,f778,f779,f776,f769,f1099,f1121,f443,f1138,f1139,f1142,f1143,f1133,f1189,f1166,f1196,f1153,f1211,f1212,f1131,f1238,f1275,f1251,f1134,f1304,f1316,f734]) ).

fof(f984,plain,
    ( sk_c5 = sk_c2
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f896,f739]) ).

fof(f896,plain,
    ( sk_c7 = sk_c2
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f891,f680]) ).

fof(f680,plain,
    ( sk_c7 = multiply(sk_c7,identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f666,f531]) ).

fof(f666,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c5,X0)) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f256,f647]) ).

fof(f647,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c3,X0)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f646,f1]) ).

fof(f646,plain,
    ( ! [X0] : multiply(sk_c5,multiply(identity,X0)) = multiply(sk_c3,X0)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f613]) ).

fof(f613,plain,
    ( sk_c3 = multiply(sk_c5,identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f453,f43]) ).

fof(f453,plain,
    ( sk_c3 = multiply(inverse(sk_c7),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f59,f253]) ).

fof(f891,plain,
    ( sk_c2 = multiply(sk_c7,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(superposition,[],[f666,f884]) ).

fof(f884,plain,
    ( identity = multiply(sk_c5,sk_c2)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f882]) ).

fof(f882,plain,
    ( spl0_9
  <=> identity = multiply(sk_c5,sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f1627,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1626]) ).

fof(f1626,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f986,f1,f2,f12,f3,f24,f18,f6,f30,f35,f261,f59,f436,f23,f17,f5,f32,f31,f29,f28,f14,f13,f11,f10,f33,f15,f9,f21,f27,f4,f7,f8,f16,f19,f20,f22,f25,f26,f432,f433,f775,f688,f778,f779,f776,f769,f1099,f1121,f443,f1138,f1139,f1142,f1143,f1133,f1189,f1166,f1196,f1153,f1211,f1212,f1131,f1238,f1275,f1251,f1134,f1304,f1316,f734]) ).

fof(f986,plain,
    ( sk_c5 = sk_c2
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f985,f708]) ).

fof(f708,plain,
    ( sk_c5 = sk_c3
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f703,f613]) ).

fof(f703,plain,
    ( sk_c5 = multiply(sk_c5,identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f530,f692]) ).

fof(f692,plain,
    ( identity = multiply(sk_c7,sk_c5)
    | ~ spl0_2 ),
    inference(superposition,[],[f652,f2]) ).

fof(f652,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(inverse(sk_c5),X0)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f651,f1]) ).

fof(f651,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(inverse(sk_c5),multiply(identity,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f542]) ).

fof(f530,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c7,X0)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f59,f43]) ).

fof(f985,plain,
    ( sk_c3 = sk_c2
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f890,f613]) ).

fof(f890,plain,
    ( sk_c2 = multiply(sk_c5,identity)
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(superposition,[],[f816,f884]) ).

fof(f816,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c5,X0)) = X0
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(superposition,[],[f59,f792]) ).

fof(f792,plain,
    ( sk_c5 = inverse(sk_c5)
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(superposition,[],[f43,f739]) ).

fof(f1625,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1624]) ).

fof(f1624,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | spl0_7 ),
    inference(global_subsumption,[],[f1623,f1,f2,f12,f3,f24,f18,f6,f30,f35,f261,f59,f436,f23,f17,f5,f32,f31,f29,f28,f14,f13,f11,f10,f33,f15,f9,f21,f27,f4,f7,f8,f16,f19,f20,f22,f25,f26,f432,f433,f775,f688,f778,f779,f776,f769,f1099,f1121,f443,f1138,f1139,f1142,f1143,f1133,f1189,f1166,f1196,f1153,f1211,f1212,f1131,f1238,f1275,f1251,f1134,f1304,f1316,f734]) ).

fof(f1623,plain,
    ( sk_c5 = sk_c3
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1201,f43]) ).

fof(f1201,plain,
    ( sk_c3 = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f1153,f39]) ).

fof(f1622,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1621]) ).

fof(f1621,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f1620,f1,f2,f12,f3,f24,f18,f6,f30,f35,f261,f59,f436,f23,f17,f5,f32,f31,f29,f28,f14,f13,f11,f10,f33,f15,f9,f21,f27,f4,f7,f8,f16,f19,f20,f22,f25,f26,f432,f433,f775,f688,f778,f779,f776,f769,f1099,f1121,f443,f1138,f1139,f1142,f1143,f1133,f1189,f1166,f1196,f1153,f1211,f1212,f1131,f1238,f1275,f1251,f1134,f1304,f1316,f734]) ).

fof(f1620,plain,
    ( sk_c5 = sk_c2
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f896,f739]) ).

fof(f1619,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1618]) ).

fof(f1618,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | spl0_7 ),
    inference(global_subsumption,[],[f708,f1,f2,f12,f3,f24,f18,f6,f30,f35,f261,f59,f436,f23,f17,f5,f32,f31,f29,f28,f14,f13,f11,f10,f33,f15,f9,f21,f27,f4,f7,f8,f16,f19,f20,f22,f25,f26,f432,f433,f775,f688,f778,f779,f776,f769,f1099,f1121,f443,f1138,f1139,f1142,f1143,f1133,f1189,f1166,f1196,f1153,f1211,f1212,f1131,f1238,f1275,f1251,f1134,f1304,f1316,f734]) ).

fof(f1616,plain,
    ( spl0_5
    | spl0_7
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1615]) ).

fof(f1615,plain,
    ( $false
    | spl0_5
    | spl0_7
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f1614,f1,f2,f12,f3,f24,f18,f6,f30,f35,f261,f59,f436,f23,f17,f5,f32,f31,f29,f28,f14,f13,f11,f10,f33,f15,f9,f21,f27,f4,f7,f8,f16,f19,f20,f22,f25,f26,f432,f433,f775,f688,f778,f779,f776,f769,f1099,f1121,f443,f1138,f1139,f1142,f1143,f1133,f1189,f1166,f1196,f1153,f1211,f1212,f1131,f1238,f1275,f1251,f1134,f1304,f1316,f734]) ).

fof(f1613,plain,
    ( spl0_5
    | spl0_7
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1612]) ).

fof(f1612,plain,
    ( $false
    | spl0_5
    | spl0_7
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f1611,f1,f2,f12,f3,f24,f18,f6,f30,f35,f261,f59,f436,f23,f17,f5,f32,f31,f29,f28,f14,f13,f11,f10,f33,f15,f9,f21,f27,f4,f7,f8,f16,f19,f20,f22,f25,f26,f432,f433,f775,f688,f778,f779,f776,f769,f1099,f1121,f443,f1138,f1139,f1142,f1143,f1133,f1189,f1166,f1196,f1153,f1211,f1212,f1131,f1238,f1275,f1251,f1134,f1304,f1316,f734]) ).

fof(f1605,plain,
    ( spl0_5
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1604]) ).

fof(f1604,plain,
    ( $false
    | spl0_5
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f1603,f1,f2,f12,f3,f24,f18,f6,f30,f35,f261,f59,f436,f23,f17,f5,f32,f31,f29,f28,f14,f13,f11,f10,f33,f15,f9,f21,f27,f4,f7,f8,f16,f19,f20,f22,f25,f26,f432,f433,f775,f688,f778,f779,f776,f769,f1099,f1121,f443,f1138,f1139,f1142,f1143,f1133,f1189,f1166,f1196,f1153,f1211,f1212,f1131,f1238,f1275,f1251,f1134,f1304,f1316,f734]) ).

fof(f1603,plain,
    ( sk_c5 = multiply(sk_c3,identity)
    | sk_c5 = inverse(sk_c1)
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1602,f739]) ).

fof(f1602,plain,
    ( sk_c7 = multiply(sk_c3,identity)
    | sk_c5 = inverse(sk_c1)
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1601,f266]) ).

fof(f1601,plain,
    ( sk_c5 = inverse(sk_c1)
    | sk_c7 = multiply(sk_c3,sk_c6)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f31,f739]) ).

fof(f1600,plain,
    ( spl0_5
    | spl0_7
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1599]) ).

fof(f1599,plain,
    ( $false
    | spl0_5
    | spl0_7
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f1598,f1,f2,f12,f3,f24,f18,f6,f30,f35,f261,f59,f436,f23,f17,f5,f32,f31,f29,f28,f14,f13,f11,f10,f33,f15,f9,f21,f27,f4,f7,f8,f16,f19,f20,f22,f25,f26,f432,f433,f775,f688,f778,f779,f776,f769,f1099,f1121,f443,f1138,f1139,f1142,f1143,f1133,f1189,f1166,f1196,f1153,f1211,f1212,f1131,f1238,f1275,f1251,f1134,f1304,f1316,f734]) ).

fof(f1595,plain,
    ( spl0_5
    | spl0_7
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1594]) ).

fof(f1594,plain,
    ( $false
    | spl0_5
    | spl0_7
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f958,f1,f2,f12,f3,f24,f18,f6,f30,f35,f261,f59,f436,f23,f17,f5,f32,f31,f29,f28,f14,f13,f11,f10,f33,f15,f9,f21,f27,f4,f7,f8,f16,f19,f20,f22,f25,f26,f432,f433,f775,f688,f778,f779,f776,f769,f1099,f1121,f443,f1138,f1139,f1142,f1143,f1133,f1189,f1166,f1196,f1153,f1211,f1212,f1131,f1238,f1275,f1251,f1134,f1304,f1316,f734]) ).

fof(f1593,plain,
    ( spl0_5
    | spl0_7
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1592]) ).

fof(f1592,plain,
    ( $false
    | spl0_5
    | spl0_7
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f1591,f1,f2,f12,f3,f24,f18,f6,f30,f35,f261,f59,f436,f23,f17,f5,f32,f31,f29,f28,f14,f13,f11,f10,f33,f15,f9,f21,f27,f4,f7,f8,f16,f19,f20,f22,f25,f26,f432,f433,f775,f688,f778,f779,f776,f769,f1099,f1121,f443,f1138,f1139,f1142,f1143,f1133,f1189,f1166,f1196,f1153,f1211,f1212,f1131,f1238,f1275,f1251,f1134,f1304,f1316,f734]) ).

fof(f1590,plain,
    ( spl0_5
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1589]) ).

fof(f1589,plain,
    ( $false
    | spl0_5
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f1588,f1,f2,f12,f3,f24,f18,f6,f30,f35,f261,f59,f436,f23,f17,f5,f32,f31,f29,f28,f14,f13,f11,f10,f33,f15,f9,f21,f27,f4,f7,f8,f16,f19,f20,f22,f25,f26,f432,f433,f775,f688,f778,f779,f776,f769,f1099,f1121,f443,f1138,f1139,f1142,f1143,f1133,f1189,f1166,f1196,f1153,f1211,f1212,f1131,f1238,f1275,f1251,f1134,f1304,f1316,f734]) ).

fof(f1588,plain,
    ( sk_c5 = sk_c3
    | sk_c2 = multiply(sk_c1,sk_c5)
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1587,f739]) ).

fof(f1587,plain,
    ( sk_c7 = sk_c3
    | sk_c2 = multiply(sk_c1,sk_c5)
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1586,f1133]) ).

fof(f1586,plain,
    ( sk_c7 = multiply(sk_c3,identity)
    | sk_c2 = multiply(sk_c1,sk_c5)
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f911,f266]) ).

fof(f911,plain,
    ( sk_c2 = multiply(sk_c1,sk_c5)
    | sk_c7 = multiply(sk_c3,sk_c6)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f25,f739]) ).

fof(f1583,plain,
    ( spl0_5
    | spl0_7
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1582]) ).

fof(f1582,plain,
    ( $false
    | spl0_5
    | spl0_7
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f1511,f1,f2,f12,f3,f24,f18,f6,f30,f35,f261,f59,f436,f23,f17,f5,f32,f31,f29,f28,f14,f13,f11,f10,f33,f15,f9,f21,f27,f4,f7,f8,f16,f19,f20,f22,f25,f26,f432,f433,f775,f688,f778,f779,f776,f769,f1099,f1121,f443,f1138,f1139,f1142,f1143,f1133,f1189,f1166,f1196,f1153,f1211,f1212,f1131,f1238,f1275,f1251,f1134,f1304,f1316,f734]) ).

fof(f1581,plain,
    ( spl0_5
    | spl0_7
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1580]) ).

fof(f1580,plain,
    ( $false
    | spl0_5
    | spl0_7
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f1579,f1,f2,f12,f3,f24,f18,f6,f30,f35,f261,f59,f436,f23,f17,f5,f32,f31,f29,f28,f14,f13,f11,f10,f33,f15,f9,f21,f27,f4,f7,f8,f16,f19,f20,f22,f25,f26,f432,f433,f775,f688,f778,f779,f776,f769,f1099,f1121,f443,f1138,f1139,f1142,f1143,f1133,f1189,f1166,f1196,f1153,f1211,f1212,f1131,f1238,f1275,f1251,f1134,f1304,f1316,f734]) ).

fof(f1577,plain,
    ( spl0_5
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1576]) ).

fof(f1576,plain,
    ( $false
    | spl0_5
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f973,f1,f2,f12,f3,f24,f18,f6,f30,f35,f261,f59,f436,f23,f17,f5,f32,f31,f29,f28,f14,f13,f11,f10,f33,f15,f9,f21,f27,f4,f7,f8,f16,f19,f20,f22,f25,f26,f432,f433,f775,f688,f778,f779,f776,f769,f1099,f1121,f443,f1138,f1139,f1142,f1143,f1133,f1189,f1166,f1196,f1153,f1211,f1212,f1131,f1238,f1275,f1251,f1134,f1304,f1316,f734]) ).

fof(f973,plain,
    ( identity = multiply(sk_c5,sk_c2)
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f24,f18,f6,f30,f35,f59,f436,f443,f23,f17,f5,f32,f31,f29,f28,f14,f13,f11,f10,f33,f15,f9,f21,f27,f4,f7,f8,f16,f19,f20,f22,f25,f26,f266,f432,f724,f433,f769,f775,f688,f778,f779,f791,f739,f776,f734,f969,f970,f972]) ).

fof(f972,plain,
    ( sk_c5 = multiply(sk_c4,sk_c5)
    | identity = multiply(sk_c5,sk_c2)
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f877,f739]) ).

fof(f877,plain,
    ( identity = multiply(sk_c5,sk_c2)
    | sk_c7 = multiply(sk_c4,sk_c5)
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f876,f266]) ).

fof(f876,plain,
    ( sk_c6 = multiply(sk_c5,sk_c2)
    | sk_c7 = multiply(sk_c4,sk_c5)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f20,f739]) ).

fof(f970,plain,
    ( identity = multiply(sk_c5,sk_c2)
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f24,f18,f6,f30,f35,f59,f436,f443,f23,f17,f5,f32,f31,f29,f28,f14,f13,f11,f10,f33,f15,f9,f21,f27,f4,f7,f8,f16,f19,f20,f22,f25,f26,f266,f432,f724,f433,f769,f775,f688,f778,f779,f791,f739,f776,f734,f969]) ).

fof(f969,plain,
    ( identity = multiply(sk_c5,sk_c2)
    | sk_c5 = inverse(sk_c4)
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f968,f266]) ).

fof(f968,plain,
    ( sk_c6 = multiply(sk_c5,sk_c2)
    | sk_c5 = inverse(sk_c4)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f21,f739]) ).

fof(f791,plain,
    ( sk_c5 = sk_c7
    | ~ spl0_6 ),
    inference(duplicate_literal_removal,[],[f790]) ).

fof(f790,plain,
    ( sk_c5 = sk_c7
    | sk_c5 = sk_c7
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f789,f1]) ).

fof(f789,plain,
    ( sk_c7 = multiply(identity,sk_c5)
    | sk_c5 = sk_c7
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f783,f266]) ).

fof(f783,plain,
    ( sk_c5 = sk_c7
    | multiply(sk_c6,sk_c5) = sk_c7
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f782,f1]) ).

fof(f782,plain,
    ( sk_c5 = multiply(identity,sk_c7)
    | multiply(sk_c6,sk_c5) = sk_c7
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f4,f266]) ).

fof(f724,plain,
    ( sk_c5 = sk_c7
    | sk_c5 = inverse(sk_c4)
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f723,f1]) ).

fof(f723,plain,
    ( sk_c7 = multiply(identity,sk_c5)
    | sk_c5 = inverse(sk_c4)
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f9,f266]) ).

fof(f1575,plain,
    ( spl0_5
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1574]) ).

fof(f1574,plain,
    ( $false
    | spl0_5
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f970,f1,f2,f12,f3,f24,f18,f6,f30,f35,f261,f59,f436,f23,f17,f5,f32,f31,f29,f28,f14,f13,f11,f10,f33,f15,f9,f21,f27,f4,f7,f8,f16,f19,f20,f22,f25,f26,f432,f433,f775,f688,f778,f779,f776,f769,f1099,f1121,f443,f1138,f1139,f1142,f1143,f1133,f1189,f1166,f1196,f1153,f1211,f1212,f1131,f1238,f1275,f1251,f1134,f1304,f1316,f734]) ).

fof(f1573,plain,
    ( spl0_5
    | spl0_7
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1572]) ).

fof(f1572,plain,
    ( $false
    | spl0_5
    | spl0_7
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f884,f1,f2,f12,f3,f24,f18,f6,f30,f35,f261,f59,f436,f23,f17,f5,f32,f31,f29,f28,f14,f13,f11,f10,f33,f15,f9,f21,f27,f4,f7,f8,f16,f19,f20,f22,f25,f26,f432,f433,f775,f688,f778,f779,f776,f769,f1099,f1121,f443,f1138,f1139,f1142,f1143,f1133,f1189,f1166,f1196,f1153,f1211,f1212,f1131,f1238,f1275,f1251,f1134,f1304,f1316,f734]) ).

fof(f1571,plain,
    ( ~ spl0_2
    | spl0_5
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1570]) ).

fof(f1570,plain,
    ( $false
    | ~ spl0_2
    | spl0_5
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f983,f1,f2,f12,f3,f24,f18,f6,f30,f35,f261,f59,f436,f23,f17,f5,f32,f31,f29,f28,f14,f13,f11,f10,f33,f15,f9,f21,f27,f4,f7,f8,f16,f19,f20,f22,f25,f26,f432,f433,f775,f688,f778,f779,f776,f769,f1099,f1121,f443,f1138,f1139,f1142,f1143,f1133,f1189,f1166,f1196,f1153,f1211,f1212,f1131,f1238,f1275,f1251,f1134,f1304,f1316,f734]) ).

fof(f983,plain,
    ( sk_c5 = sk_c2
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f898,f739]) ).

fof(f898,plain,
    ( sk_c7 = sk_c2
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f892,f542]) ).

fof(f892,plain,
    ( sk_c2 = multiply(inverse(sk_c5),identity)
    | ~ spl0_9 ),
    inference(superposition,[],[f59,f884]) ).

fof(f1569,plain,
    ( ~ spl0_2
    | spl0_5
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1568]) ).

fof(f1568,plain,
    ( $false
    | ~ spl0_2
    | spl0_5
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f899,f1,f2,f12,f3,f24,f18,f6,f30,f35,f261,f59,f436,f23,f17,f5,f32,f31,f29,f28,f14,f13,f11,f10,f33,f15,f9,f21,f27,f4,f7,f8,f16,f19,f20,f22,f25,f26,f432,f433,f775,f688,f778,f779,f776,f769,f1099,f1121,f443,f1138,f1139,f1142,f1143,f1133,f1189,f1166,f1196,f1153,f1211,f1212,f1131,f1238,f1275,f1251,f1134,f1304,f1316,f734]) ).

fof(f899,plain,
    ( sk_c5 = sk_c2
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f898,f739]) ).

fof(f1567,plain,
    ( ~ spl0_2
    | spl0_5
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1566]) ).

fof(f1566,plain,
    ( $false
    | ~ spl0_2
    | spl0_5
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f1462,f1,f2,f12,f3,f24,f18,f6,f30,f35,f261,f59,f436,f23,f17,f5,f32,f31,f29,f28,f14,f13,f11,f10,f33,f15,f9,f21,f27,f4,f7,f8,f16,f19,f20,f22,f25,f26,f432,f433,f775,f688,f778,f779,f776,f769,f1099,f1121,f443,f1138,f1139,f1142,f1143,f1133,f1189,f1166,f1196,f1153,f1211,f1212,f1131,f1238,f1275,f1251,f1134,f1304,f1316,f734]) ).

fof(f1462,plain,
    ( sk_c5 = sk_c2
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f890,f703]) ).

fof(f1565,plain,
    ( spl0_5
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1564]) ).

fof(f1564,plain,
    ( $false
    | spl0_5
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f1484,f1,f2,f12,f3,f24,f18,f6,f30,f35,f261,f59,f436,f23,f17,f5,f32,f31,f29,f28,f14,f13,f11,f10,f33,f15,f9,f21,f27,f4,f7,f8,f16,f19,f20,f22,f25,f26,f432,f433,f775,f688,f778,f779,f776,f769,f1099,f1121,f443,f1138,f1139,f1142,f1143,f1133,f1189,f1166,f1196,f1153,f1211,f1212,f1131,f1238,f1275,f1251,f1134,f1304,f1316,f734]) ).

fof(f1484,plain,
    ( sk_c5 = multiply(sk_c3,identity)
    | identity = multiply(sk_c5,sk_c2)
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f871,f739]) ).

fof(f871,plain,
    ( sk_c7 = multiply(sk_c3,identity)
    | identity = multiply(sk_c5,sk_c2)
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f870,f266]) ).

fof(f870,plain,
    ( identity = multiply(sk_c5,sk_c2)
    | sk_c7 = multiply(sk_c3,sk_c6)
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f869,f266]) ).

fof(f869,plain,
    ( sk_c6 = multiply(sk_c5,sk_c2)
    | sk_c7 = multiply(sk_c3,sk_c6)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f19,f739]) ).

fof(f1563,plain,
    ( spl0_5
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1562]) ).

fof(f1562,plain,
    ( $false
    | spl0_5
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f1518,f1,f2,f12,f3,f24,f18,f6,f30,f35,f261,f59,f436,f23,f17,f5,f32,f31,f29,f28,f14,f13,f11,f10,f33,f15,f9,f21,f27,f4,f7,f8,f16,f19,f20,f22,f25,f26,f432,f433,f775,f688,f778,f779,f776,f769,f1099,f1121,f443,f1138,f1139,f1142,f1143,f1133,f1189,f1166,f1196,f1153,f1211,f1212,f1131,f1238,f1275,f1251,f1134,f1304,f1316,f734]) ).

fof(f1518,plain,
    ( identity = multiply(sk_c5,sk_c2)
    | sk_c5 = inverse(sk_c3)
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1517,f266]) ).

fof(f1517,plain,
    ( sk_c6 = multiply(sk_c5,sk_c2)
    | sk_c5 = inverse(sk_c3)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1516,f739]) ).

fof(f1516,plain,
    ( sk_c5 = inverse(sk_c3)
    | sk_c6 = multiply(sk_c7,sk_c2)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f18,f739]) ).

fof(f1561,plain,
    ( ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1560]) ).

fof(f1560,plain,
    ( $false
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f1217,f1,f2,f12,f3,f24,f18,f6,f30,f35,f261,f59,f436,f23,f17,f5,f32,f31,f29,f28,f14,f13,f11,f10,f33,f15,f9,f21,f27,f4,f7,f8,f16,f19,f20,f22,f25,f26,f432,f433,f775,f688,f778,f779,f776,f769,f1099,f1121,f443,f1138,f1139,f1142,f1143,f1133,f1189,f1166,f1196,f1153,f1211,f1212,f1131,f1238,f1275,f1251,f1134,f1304,f1316,f734]) ).

fof(f1217,plain,
    ( ! [X6,X4,X5] :
        ( sk_c5 != inverse(X6)
        | sk_c5 != inverse(X4)
        | sk_c5 != inverse(X5)
        | identity != multiply(sk_c5,multiply(X4,sk_c5))
        | sk_c5 != multiply(X5,identity)
        | sk_c5 != multiply(X6,sk_c5) )
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f1216,f266]) ).

fof(f1216,plain,
    ( ! [X6,X4,X5] :
        ( identity != sk_c6
        | sk_c5 != inverse(X6)
        | sk_c5 != inverse(X4)
        | sk_c5 != inverse(X5)
        | identity != multiply(sk_c5,multiply(X4,sk_c5))
        | sk_c5 != multiply(X5,identity)
        | sk_c5 != multiply(X6,sk_c5) )
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f639,f739]) ).

fof(f639,plain,
    ( ! [X6,X4,X5] :
        ( sk_c5 != sk_c7
        | identity != sk_c6
        | sk_c5 != inverse(X6)
        | sk_c5 != inverse(X4)
        | sk_c5 != inverse(X5)
        | identity != multiply(sk_c5,multiply(X4,sk_c5))
        | sk_c5 != multiply(X5,identity)
        | sk_c5 != multiply(X6,sk_c5) )
    | ~ spl0_2 ),
    inference(inner_rewriting,[],[f638]) ).

fof(f638,plain,
    ( ! [X6,X4,X5] :
        ( sk_c5 != sk_c7
        | identity != sk_c6
        | sk_c5 != inverse(X6)
        | sk_c7 != inverse(X4)
        | sk_c7 != inverse(X5)
        | identity != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c7 != multiply(X5,identity)
        | sk_c7 != multiply(X6,sk_c5) )
    | ~ spl0_2 ),
    inference(duplicate_literal_removal,[],[f637]) ).

fof(f637,plain,
    ( ! [X6,X4,X5] :
        ( sk_c5 != sk_c7
        | sk_c5 != sk_c7
        | identity != sk_c6
        | sk_c5 != inverse(X6)
        | sk_c7 != inverse(X4)
        | sk_c7 != inverse(X5)
        | identity != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c7 != multiply(X5,identity)
        | sk_c7 != multiply(X6,sk_c5) )
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f636,f1]) ).

fof(f636,plain,
    ( ! [X6,X4,X5] :
        ( sk_c5 != sk_c7
        | identity != sk_c6
        | sk_c5 != inverse(X6)
        | sk_c7 != inverse(X4)
        | sk_c7 != inverse(X5)
        | identity != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c7 != multiply(X5,identity)
        | sk_c7 != multiply(X6,sk_c5)
        | sk_c7 != multiply(identity,sk_c5) )
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f635,f1]) ).

fof(f635,plain,
    ( ! [X6,X4,X5] :
        ( identity != sk_c6
        | sk_c5 != inverse(X6)
        | sk_c7 != inverse(X4)
        | sk_c7 != inverse(X5)
        | identity != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c5 != multiply(identity,sk_c7)
        | sk_c7 != multiply(X5,identity)
        | sk_c7 != multiply(X6,sk_c5)
        | sk_c7 != multiply(identity,sk_c5) )
    | ~ spl0_2 ),
    inference(inner_rewriting,[],[f634]) ).

fof(f634,plain,
    ( ! [X6,X4,X5] :
        ( identity != sk_c6
        | sk_c5 != inverse(X6)
        | sk_c7 != inverse(X4)
        | sk_c7 != inverse(X5)
        | sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c5 != multiply(sk_c6,sk_c7)
        | sk_c7 != multiply(X5,sk_c6)
        | sk_c7 != multiply(X6,sk_c5)
        | multiply(sk_c6,sk_c5) != sk_c7 )
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f577,f531]) ).

fof(f577,plain,
    ( ! [X6,X4,X5] :
        ( sk_c5 != inverse(X6)
        | sk_c7 != inverse(X4)
        | sk_c7 != inverse(X5)
        | sk_c6 != multiply(sk_c5,sk_c7)
        | sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c5 != multiply(sk_c6,sk_c7)
        | sk_c7 != multiply(X5,sk_c6)
        | sk_c7 != multiply(X6,sk_c5)
        | multiply(sk_c6,sk_c5) != sk_c7 )
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f35,f43]) ).

fof(f1559,plain,
    ( spl0_5
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1558]) ).

fof(f1558,plain,
    ( $false
    | spl0_5
    | spl0_7 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f24,f18,f6,f30,f35,f261,f59,f436,f23,f17,f5,f32,f31,f29,f28,f14,f13,f11,f10,f33,f15,f9,f21,f27,f4,f7,f8,f16,f19,f20,f22,f25,f26,f432,f433,f775,f688,f778,f779,f776,f769,f1099,f1121,f443,f1138,f1139,f1142,f1143,f1133,f1189,f1166,f1196,f1153,f1211,f1212,f1131,f1238,f1275,f1251,f1134,f1304,f1316,f734]) ).

fof(f1557,plain,
    ( spl0_5
    | spl0_7
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1556]) ).

fof(f1556,plain,
    ( $false
    | spl0_5
    | spl0_7
    | spl0_10 ),
    inference(global_subsumption,[],[f887,f1,f2,f12,f3,f24,f18,f6,f30,f35,f261,f59,f436,f23,f17,f5,f32,f31,f29,f28,f14,f13,f11,f10,f33,f15,f9,f21,f27,f4,f7,f8,f16,f19,f20,f22,f25,f26,f432,f433,f775,f688,f778,f779,f776,f769,f1099,f1121,f443,f1138,f1139,f1142,f1143,f1133,f1189,f1166,f1196,f1153,f1211,f1212,f1131,f1238,f1275,f1251,f1134,f1304,f1316,f734]) ).

fof(f1555,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1554]) ).

fof(f1554,plain,
    ( $false
    | ~ spl0_3
    | spl0_5
    | spl0_7 ),
    inference(global_subsumption,[],[f1533,f1,f2,f12,f3,f24,f18,f6,f30,f35,f261,f59,f436,f23,f17,f5,f32,f31,f29,f28,f14,f13,f11,f10,f33,f15,f9,f21,f27,f4,f7,f8,f16,f19,f20,f22,f25,f26,f432,f433,f775,f688,f778,f779,f776,f769,f1099,f1121,f443,f1138,f1139,f1142,f1143,f1133,f1189,f1166,f1196,f1153,f1211,f1212,f1131,f1238,f1275,f1251,f1134,f1304,f1316,f734]) ).

fof(f1533,plain,
    ( ! [X4] :
        ( identity != multiply(identity,X4)
        | identity != inverse(X4) )
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f238,f1133]) ).

fof(f238,plain,
    ( ! [X4] :
        ( identity != multiply(identity,multiply(X4,identity))
        | identity != inverse(X4) )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f237]) ).

fof(f237,plain,
    ( spl0_3
  <=> ! [X4] :
        ( identity != multiply(identity,multiply(X4,identity))
        | identity != inverse(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f1553,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1552]) ).

fof(f1552,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_10 ),
    inference(global_subsumption,[],[f1551,f1,f2,f12,f38,f45,f46,f47,f48,f49,f50,f3,f54,f56,f57,f62,f64,f68,f65,f70,f63,f74,f79,f80,f82,f76,f83,f77,f85,f87,f89,f98,f100,f78,f103,f104,f105,f110,f72,f118,f81,f101,f127,f135,f137,f133,f134,f139,f145,f148,f166,f185,f154,f202,f243,f247,f248,f249,f250,f251,f24,f18,f6,f30,f252,f35,f59,f436,f23,f17,f5,f32,f31,f29,f28,f14,f523,f13,f524,f11,f525,f10,f526,f33,f15,f529,f43,f531,f544,f634,f638,f639,f9,f21,f27,f4,f640,f7,f8,f16,f641,f19,f20,f22,f642,f25,f26,f542,f530,f660,f650,f671,f673,f432,f652,f696,f697,f692,f706,f703,f433,f775,f688,f778,f779,f776,f769,f1099,f1121,f443,f1138,f1139,f1142,f1143,f1133,f1189,f1166,f1196,f1153,f1211,f1212,f1131,f1238,f1275,f1251,f1134,f1304,f1316,f887,f84,f125,f170,f140]) ).

fof(f140,plain,
    ( identity = sk_c1
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f132,f1]) ).

fof(f132,plain,
    ( sk_c1 = multiply(identity,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f65,f125]) ).

fof(f170,plain,
    ( identity = sk_c7
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f169,f84]) ).

fof(f169,plain,
    ( sk_c7 = sk_c2
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f160,f1]) ).

fof(f160,plain,
    ( sk_c2 = multiply(identity,sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f50,f140]) ).

fof(f125,plain,
    ( identity = sk_c5
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f122,f45]) ).

fof(f122,plain,
    ( sk_c5 = multiply(sk_c5,sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f81,f48]) ).

fof(f84,plain,
    ( identity = sk_c2
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f77,f64]) ).

fof(f706,plain,
    ( sk_c5 = multiply(sk_c5,identity)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f704,f43]) ).

fof(f704,plain,
    ( sk_c5 = multiply(inverse(sk_c7),identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f59,f692]) ).

fof(f697,plain,
    ( ! [X0] : multiply(inverse(inverse(sk_c5)),multiply(sk_c7,X0)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f59,f652]) ).

fof(f696,plain,
    ( identity = multiply(sk_c7,sk_c5)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f652]) ).

fof(f673,plain,
    ( ! [X0] : multiply(inverse(inverse(sk_c5)),multiply(sk_c7,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f672,f1]) ).

fof(f672,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(sk_c5)),multiply(sk_c7,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f650]) ).

fof(f671,plain,
    ( sk_c7 = multiply(inverse(inverse(inverse(sk_c5))),identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f59,f650]) ).

fof(f650,plain,
    ( identity = multiply(inverse(inverse(sk_c5)),sk_c7)
    | ~ spl0_2 ),
    inference(superposition,[],[f59,f542]) ).

fof(f660,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(inverse(sk_c5),X0)
    | ~ spl0_2 ),
    inference(superposition,[],[f59,f530]) ).

fof(f642,plain,
    ( identity = sk_c6
    | sk_c2 = multiply(sk_c1,sk_c7)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f23,f531]) ).

fof(f641,plain,
    ( identity = sk_c6
    | sk_c6 = multiply(sk_c7,sk_c2)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f17,f531]) ).

fof(f640,plain,
    ( identity = sk_c6
    | multiply(sk_c6,sk_c5) = sk_c7
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f5,f531]) ).

fof(f544,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c7,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f543,f1]) ).

fof(f543,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c7,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f531]) ).

fof(f529,plain,
    ( sk_c5 = inverse(sk_c7)
    | ~ spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f12,f43,f45,f3,f62,f243,f247,f248,f249,f250,f251,f24,f18,f6,f30,f252,f35,f59,f433,f436,f443,f432,f26,f25,f23,f22,f20,f19,f17,f16,f8,f7,f5,f4,f32,f31,f29,f28,f27,f21,f14,f523,f13,f524,f11,f525,f10,f526,f9,f33,f15]) ).

fof(f526,plain,
    ( sk_c5 = inverse(sk_c7)
    | ~ spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f12,f43,f45,f3,f62,f243,f247,f248,f249,f250,f251,f24,f18,f9,f6,f33,f30,f252,f35,f15,f59,f433,f436,f443,f432,f26,f25,f23,f22,f20,f19,f17,f16,f8,f7,f5,f4,f32,f31,f29,f28,f27,f21,f14,f523,f13,f524,f11,f525,f10]) ).

fof(f525,plain,
    ( sk_c5 = inverse(sk_c7)
    | ~ spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f12,f43,f45,f3,f62,f243,f247,f248,f249,f250,f251,f24,f18,f9,f6,f33,f30,f252,f35,f10,f15,f59,f433,f436,f443,f432,f26,f25,f23,f22,f20,f19,f17,f16,f8,f7,f5,f4,f32,f31,f29,f28,f27,f21,f14,f523,f13,f524,f11]) ).

fof(f524,plain,
    ( sk_c5 = inverse(sk_c7)
    | ~ spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f12,f43,f45,f3,f62,f243,f247,f248,f249,f250,f251,f24,f18,f9,f6,f33,f30,f252,f35,f11,f10,f15,f59,f433,f436,f443,f432,f26,f25,f23,f22,f20,f19,f17,f16,f8,f7,f5,f4,f32,f31,f29,f28,f27,f21,f14,f523,f13]) ).

fof(f523,plain,
    ( sk_c5 = inverse(sk_c7)
    | ~ spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f12,f43,f45,f3,f62,f243,f247,f248,f249,f250,f251,f24,f18,f9,f6,f33,f30,f252,f35,f13,f11,f10,f15,f59,f433,f436,f443,f432,f26,f25,f23,f22,f20,f19,f17,f16,f8,f7,f5,f4,f32,f31,f29,f28,f27,f21,f14]) ).

fof(f252,plain,
    ( identity = sk_c6
    | sk_c7 = inverse(sk_c1)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f29,f45]) ).

fof(f251,plain,
    ( identity = sk_c6
    | multiply(sk_c6,sk_c5) = sk_c7
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f5,f45]) ).

fof(f250,plain,
    ( identity = sk_c6
    | sk_c6 = multiply(sk_c7,sk_c2)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f17,f45]) ).

fof(f249,plain,
    ( identity = sk_c6
    | sk_c2 = multiply(sk_c1,sk_c7)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f23,f45]) ).

fof(f248,plain,
    ( ! [X6,X4,X5] :
        ( sk_c5 != sk_c7
        | identity != sk_c6
        | sk_c5 != inverse(X6)
        | sk_c5 != inverse(X4)
        | sk_c5 != inverse(X5)
        | identity != multiply(sk_c5,multiply(X4,sk_c5))
        | sk_c5 != multiply(X5,identity)
        | sk_c5 != multiply(X6,sk_c5) )
    | ~ spl0_2 ),
    inference(inner_rewriting,[],[f247]) ).

fof(f247,plain,
    ( ! [X6,X4,X5] :
        ( sk_c5 != sk_c7
        | identity != sk_c6
        | sk_c5 != inverse(X6)
        | sk_c7 != inverse(X4)
        | sk_c7 != inverse(X5)
        | identity != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c7 != multiply(X5,identity)
        | sk_c7 != multiply(X6,sk_c5) )
    | ~ spl0_2 ),
    inference(duplicate_literal_removal,[],[f246]) ).

fof(f246,plain,
    ( ! [X6,X4,X5] :
        ( sk_c5 != sk_c7
        | sk_c5 != sk_c7
        | identity != sk_c6
        | sk_c5 != inverse(X6)
        | sk_c7 != inverse(X4)
        | sk_c7 != inverse(X5)
        | identity != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c7 != multiply(X5,identity)
        | sk_c7 != multiply(X6,sk_c5) )
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f245,f1]) ).

fof(f245,plain,
    ( ! [X6,X4,X5] :
        ( sk_c5 != sk_c7
        | identity != sk_c6
        | sk_c5 != inverse(X6)
        | sk_c7 != inverse(X4)
        | sk_c7 != inverse(X5)
        | identity != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c7 != multiply(X5,identity)
        | sk_c7 != multiply(X6,sk_c5)
        | sk_c7 != multiply(identity,sk_c5) )
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f244,f1]) ).

fof(f244,plain,
    ( ! [X6,X4,X5] :
        ( identity != sk_c6
        | sk_c5 != inverse(X6)
        | sk_c7 != inverse(X4)
        | sk_c7 != inverse(X5)
        | identity != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c5 != multiply(identity,sk_c7)
        | sk_c7 != multiply(X5,identity)
        | sk_c7 != multiply(X6,sk_c5)
        | sk_c7 != multiply(identity,sk_c5) )
    | ~ spl0_2 ),
    inference(inner_rewriting,[],[f243]) ).

fof(f243,plain,
    ( ! [X6,X4,X5] :
        ( identity != sk_c6
        | sk_c5 != inverse(X6)
        | sk_c7 != inverse(X4)
        | sk_c7 != inverse(X5)
        | sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c5 != multiply(sk_c6,sk_c7)
        | sk_c7 != multiply(X5,sk_c6)
        | sk_c7 != multiply(X6,sk_c5)
        | multiply(sk_c6,sk_c5) != sk_c7 )
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f90,f45]) ).

fof(f90,plain,
    ( ! [X6,X4,X5] :
        ( sk_c5 != inverse(X6)
        | sk_c7 != inverse(X4)
        | sk_c7 != inverse(X5)
        | sk_c6 != multiply(sk_c5,sk_c7)
        | sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c5 != multiply(sk_c6,sk_c7)
        | sk_c7 != multiply(X5,sk_c6)
        | sk_c7 != multiply(X6,sk_c5)
        | multiply(sk_c6,sk_c5) != sk_c7 )
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f35,f43]) ).

fof(f202,plain,
    ( ! [X6,X4,X5] :
        ( identity != multiply(X6,identity)
        | identity != multiply(X5,identity)
        | identity != multiply(identity,multiply(X4,identity))
        | identity != inverse(X5)
        | identity != inverse(X4)
        | identity != inverse(X6) )
    | spl0_1
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f127,f139]) ).

fof(f154,plain,
    ( identity = inverse(identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f143,f125]) ).

fof(f143,plain,
    ( sk_c5 = inverse(identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f76,f139]) ).

fof(f185,plain,
    ( identity = inverse(identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f177,f125]) ).

fof(f177,plain,
    ( sk_c5 = inverse(identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f43,f170]) ).

fof(f166,plain,
    ( identity = inverse(identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f165,f139]) ).

fof(f165,plain,
    ( sk_c6 = inverse(identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f158,f74]) ).

fof(f158,plain,
    ( sk_c7 = inverse(identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f46,f140]) ).

fof(f148,plain,
    ( identity = multiply(sk_c1,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f105,f139]) ).

fof(f145,plain,
    ( identity = multiply(identity,sk_c1)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f78,f139]) ).

fof(f139,plain,
    ( identity = sk_c6
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f138,f84]) ).

fof(f138,plain,
    ( sk_c6 = sk_c2
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f131,f1]) ).

fof(f131,plain,
    ( sk_c2 = multiply(identity,sk_c6)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f64,f125]) ).

fof(f134,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c6,X0)) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f81,f125]) ).

fof(f133,plain,
    ( identity = multiply(identity,sk_c6)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f77,f125]) ).

fof(f137,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c6,X0)) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f130,f74]) ).

fof(f130,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c7,X0)) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f62,f125]) ).

fof(f135,plain,
    ( identity = multiply(identity,sk_c6)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f128,f74]) ).

fof(f128,plain,
    ( identity = multiply(identity,sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f45,f125]) ).

fof(f127,plain,
    ( ! [X6,X4,X5] :
        ( identity != multiply(X6,identity)
        | identity != multiply(X5,identity)
        | identity != multiply(identity,multiply(X4,identity))
        | identity != sk_c6
        | identity != inverse(X5)
        | identity != inverse(X4)
        | identity != inverse(X6) )
    | spl0_1
    | ~ spl0_2 ),
    inference(global_subsumption,[],[f15,f33,f27,f21,f9,f11,f10,f13,f14,f30,f24,f18,f6,f29,f28,f31,f32,f23,f22,f25,f26,f17,f5,f16,f19,f20,f4,f7,f8,f35,f1,f2,f12,f38,f43,f45,f46,f47,f48,f49,f50,f3,f59,f54,f56,f57,f62,f64,f68,f65,f70,f63,f74,f79,f80,f82,f76,f83,f77,f85,f87,f84,f89,f98,f100,f78,f103,f104,f105,f110,f72,f118,f81,f125,f101]) ).

fof(f101,plain,
    ( ! [X6,X4,X5] :
        ( identity != sk_c5
        | identity != multiply(X6,identity)
        | identity != multiply(X5,identity)
        | identity != multiply(identity,multiply(X4,identity))
        | identity != sk_c6
        | identity != inverse(X5)
        | identity != inverse(X4)
        | identity != inverse(X6) )
    | spl0_1
    | ~ spl0_2 ),
    inference(inner_rewriting,[],[f100]) ).

fof(f81,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c6,X0)) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f62,f74]) ).

fof(f118,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c5,X0)) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f113,f74]) ).

fof(f113,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c5,X0)) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f63,f72]) ).

fof(f72,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c1,X0)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f62,f63]) ).

fof(f110,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c6,X0)) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f108,f1]) ).

fof(f108,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c1,multiply(sk_c6,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f105]) ).

fof(f105,plain,
    ( identity = multiply(sk_c1,sk_c6)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f80,f84]) ).

fof(f104,plain,
    ( sk_c6 = multiply(sk_c6,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f79,f84]) ).

fof(f103,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c1,X0)) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f102,f1]) ).

fof(f102,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c1,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f78]) ).

fof(f78,plain,
    ( identity = multiply(sk_c6,sk_c1)
    | spl0_1 ),
    inference(superposition,[],[f47,f74]) ).

fof(f100,plain,
    ( ! [X6,X4,X5] :
        ( identity != sk_c5
        | identity != multiply(X6,sk_c5)
        | identity != multiply(X5,identity)
        | identity != multiply(identity,multiply(X4,identity))
        | identity != sk_c6
        | identity != inverse(X5)
        | identity != inverse(X4)
        | sk_c5 != inverse(X6) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f99,f1]) ).

fof(f99,plain,
    ( ! [X6,X4,X5] :
        ( identity != multiply(X6,sk_c5)
        | identity != multiply(X5,identity)
        | sk_c5 != multiply(identity,identity)
        | identity != multiply(identity,multiply(X4,identity))
        | identity != sk_c6
        | identity != inverse(X5)
        | identity != inverse(X4)
        | sk_c5 != inverse(X6) )
    | spl0_1
    | ~ spl0_2 ),
    inference(inner_rewriting,[],[f98]) ).

fof(f98,plain,
    ( ! [X6,X4,X5] :
        ( sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X5,sk_c6)
        | sk_c5 != multiply(sk_c6,sk_c6)
        | sk_c6 != multiply(sk_c6,multiply(X4,sk_c6))
        | identity != sk_c6
        | sk_c6 != inverse(X5)
        | sk_c6 != inverse(X4)
        | sk_c5 != inverse(X6) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f97,f74]) ).

fof(f97,plain,
    ( ! [X6,X4,X5] :
        ( sk_c6 != multiply(X5,sk_c6)
        | sk_c5 != multiply(sk_c6,sk_c6)
        | sk_c6 != multiply(sk_c6,multiply(X4,sk_c6))
        | identity != sk_c6
        | sk_c6 != inverse(X5)
        | sk_c6 != inverse(X4)
        | sk_c5 != inverse(X6)
        | sk_c7 != multiply(X6,sk_c5) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f96,f74]) ).

fof(f96,plain,
    ( ! [X6,X4,X5] :
        ( sk_c5 != multiply(sk_c6,sk_c6)
        | sk_c6 != multiply(sk_c6,multiply(X4,sk_c6))
        | identity != sk_c6
        | sk_c6 != inverse(X5)
        | sk_c6 != inverse(X4)
        | sk_c5 != inverse(X6)
        | sk_c7 != multiply(X5,sk_c6)
        | sk_c7 != multiply(X6,sk_c5) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f95,f74]) ).

fof(f95,plain,
    ( ! [X6,X4,X5] :
        ( sk_c6 != multiply(sk_c6,multiply(X4,sk_c6))
        | identity != sk_c6
        | sk_c6 != inverse(X5)
        | sk_c6 != inverse(X4)
        | sk_c5 != inverse(X6)
        | sk_c5 != multiply(sk_c6,sk_c7)
        | sk_c7 != multiply(X5,sk_c6)
        | sk_c7 != multiply(X6,sk_c5) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f94,f74]) ).

fof(f94,plain,
    ( ! [X6,X4,X5] :
        ( identity != sk_c6
        | sk_c6 != inverse(X5)
        | sk_c6 != inverse(X4)
        | sk_c5 != inverse(X6)
        | sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c5 != multiply(sk_c6,sk_c7)
        | sk_c7 != multiply(X5,sk_c6)
        | sk_c7 != multiply(X6,sk_c5) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f93,f45]) ).

fof(f93,plain,
    ( ! [X6,X4,X5] :
        ( sk_c6 != inverse(X5)
        | sk_c6 != inverse(X4)
        | sk_c5 != inverse(X6)
        | sk_c6 != multiply(sk_c5,sk_c7)
        | sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c5 != multiply(sk_c6,sk_c7)
        | sk_c7 != multiply(X5,sk_c6)
        | sk_c7 != multiply(X6,sk_c5) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f92,f74]) ).

fof(f92,plain,
    ( ! [X6,X4,X5] :
        ( sk_c6 != inverse(X4)
        | sk_c5 != inverse(X6)
        | sk_c7 != inverse(X5)
        | sk_c6 != multiply(sk_c5,sk_c7)
        | sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c5 != multiply(sk_c6,sk_c7)
        | sk_c7 != multiply(X5,sk_c6)
        | sk_c7 != multiply(X6,sk_c5) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f91,f74]) ).

fof(f91,plain,
    ( ! [X6,X4,X5] :
        ( sk_c5 != inverse(X6)
        | sk_c7 != inverse(X4)
        | sk_c7 != inverse(X5)
        | sk_c6 != multiply(sk_c5,sk_c7)
        | sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c5 != multiply(sk_c6,sk_c7)
        | sk_c7 != multiply(X5,sk_c6)
        | sk_c7 != multiply(X6,sk_c5) )
    | spl0_1
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f90,f48]) ).

fof(f89,plain,
    ( sk_c6 = multiply(sk_c6,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f88,f74]) ).

fof(f88,plain,
    ( sk_c6 = multiply(sk_c7,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f49,f84]) ).

fof(f87,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c6,X0)) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f86,f1]) ).

fof(f86,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c6,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f77]) ).

fof(f85,plain,
    ( identity = sk_c2
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f64,f77]) ).

fof(f77,plain,
    ( identity = multiply(sk_c5,sk_c6)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f45,f74]) ).

fof(f83,plain,
    ( identity = multiply(sk_c5,sk_c6)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f76]) ).

fof(f76,plain,
    ( sk_c5 = inverse(sk_c6)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f43,f74]) ).

fof(f82,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c1,X0)) = X0
    | spl0_1 ),
    inference(superposition,[],[f63,f74]) ).

fof(f80,plain,
    ( sk_c2 = multiply(sk_c1,sk_c6)
    | spl0_1 ),
    inference(superposition,[],[f50,f74]) ).

fof(f79,plain,
    ( sk_c6 = multiply(sk_c6,sk_c2)
    | spl0_1 ),
    inference(superposition,[],[f49,f74]) ).

fof(f74,plain,
    ( sk_c6 = sk_c7
    | spl0_1 ),
    inference(forward_demodulation,[],[f71,f49]) ).

fof(f71,plain,
    ( sk_c7 = multiply(sk_c7,sk_c2)
    | spl0_1 ),
    inference(superposition,[],[f63,f50]) ).

fof(f63,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c1,X0)) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f58,f1]) ).

fof(f58,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c1,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f47]) ).

fof(f70,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c1,X0)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f69,f1]) ).

fof(f69,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c5,multiply(identity,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f65]) ).

fof(f65,plain,
    ( sk_c1 = multiply(sk_c5,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f62,f47]) ).

fof(f68,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(sk_c5,multiply(sk_c6,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f64]) ).

fof(f64,plain,
    ( sk_c2 = multiply(sk_c5,sk_c6)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f62,f49]) ).

fof(f62,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c7,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f55,f1]) ).

fof(f55,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c7,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f45]) ).

fof(f57,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c2,X0)) = multiply(sk_c6,X0)
    | spl0_1 ),
    inference(superposition,[],[f3,f49]) ).

fof(f56,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c7,X0)) = multiply(sk_c2,X0)
    | spl0_1 ),
    inference(superposition,[],[f3,f50]) ).

fof(f54,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c5,X0)) = multiply(sk_c7,X0)
    | spl0_1 ),
    inference(superposition,[],[f3,f48]) ).

fof(f50,plain,
    ( sk_c2 = multiply(sk_c1,sk_c7)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f24,f38]) ).

fof(f49,plain,
    ( sk_c6 = multiply(sk_c7,sk_c2)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f18,f38]) ).

fof(f48,plain,
    ( multiply(sk_c6,sk_c5) = sk_c7
    | spl0_1 ),
    inference(subsumption_resolution,[],[f6,f38]) ).

fof(f47,plain,
    ( identity = multiply(sk_c7,sk_c1)
    | spl0_1 ),
    inference(superposition,[],[f2,f46]) ).

fof(f46,plain,
    ( sk_c7 = inverse(sk_c1)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f30,f38]) ).

fof(f45,plain,
    ( identity = multiply(sk_c5,sk_c7)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f43]) ).

fof(f38,plain,
    ( sk_c7 != inverse(sk_c3)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f37]) ).

fof(f1551,plain,
    ( sk_c5 != inverse(sk_c3)
    | spl0_1
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f38,f739]) ).

fof(f1550,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1549]) ).

fof(f1549,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f12,f38,f45,f46,f47,f48,f49,f50,f3,f54,f56,f57,f62,f64,f68,f65,f70,f63,f74,f79,f80,f82,f76,f83,f77,f85,f87,f89,f98,f100,f78,f103,f104,f105,f110,f72,f118,f81,f101,f127,f135,f137,f133,f134,f139,f145,f148,f166,f185,f154,f202,f243,f247,f248,f249,f250,f251,f24,f18,f6,f30,f252,f35,f59,f436,f23,f17,f5,f32,f31,f29,f28,f14,f523,f13,f524,f11,f525,f10,f526,f33,f15,f529,f43,f531,f544,f634,f638,f639,f9,f21,f27,f4,f640,f7,f8,f16,f641,f19,f20,f22,f642,f25,f26,f542,f530,f660,f650,f671,f673,f432,f652,f696,f697,f692,f706,f703,f433,f775,f688,f778,f779,f776,f769,f1099,f1121,f443,f1138,f1139,f1142,f1143,f1133,f1189,f1166,f1196,f1153,f1211,f1212,f1131,f1238,f1275,f1251,f1134,f1304,f1316,f887,f84,f125,f170,f140]) ).

fof(f1548,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1547]) ).

fof(f1547,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(global_subsumption,[],[f1546,f1,f2,f12,f38,f45,f46,f47,f48,f49,f50,f3,f54,f56,f57,f62,f64,f68,f65,f70,f63,f74,f79,f80,f82,f76,f83,f77,f85,f87,f89,f98,f100,f78,f103,f104,f105,f110,f72,f118,f81,f101,f127,f135,f137,f133,f134,f139,f145,f148,f140,f166,f185,f154,f202,f243,f247,f248,f249,f250,f251,f24,f18,f6,f30,f252,f35,f59,f436,f23,f17,f5,f32,f31,f29,f28,f14,f523,f13,f524,f11,f525,f10,f526,f33,f15,f529,f43,f531,f544,f634,f638,f639,f9,f21,f27,f4,f640,f7,f8,f16,f641,f19,f20,f22,f642,f25,f26,f542,f530,f660,f650,f671,f673,f432,f652,f696,f697,f692,f706,f703,f433,f775,f688,f778,f779,f776,f769,f1099,f1121,f443,f1138,f1139,f1142,f1143,f1133,f1189,f1166,f1196,f1153,f1211,f1212,f1131,f1238,f1275,f1251,f1134,f1304,f1316,f887,f84,f125,f170]) ).

fof(f1546,plain,
    ( identity = sk_c7
    | spl0_1
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f74,f266]) ).

fof(f1545,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1544]) ).

fof(f1544,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f12,f38,f45,f46,f47,f48,f49,f50,f3,f54,f56,f57,f62,f64,f68,f65,f70,f63,f74,f79,f80,f82,f76,f83,f77,f85,f87,f89,f98,f100,f78,f103,f104,f105,f110,f72,f118,f81,f101,f127,f135,f137,f133,f134,f139,f145,f148,f140,f166,f185,f154,f202,f243,f247,f248,f249,f250,f251,f24,f18,f6,f30,f252,f35,f59,f436,f23,f17,f5,f32,f31,f29,f28,f14,f523,f13,f524,f11,f525,f10,f526,f33,f15,f529,f43,f531,f544,f634,f638,f639,f9,f21,f27,f4,f640,f7,f8,f16,f641,f19,f20,f22,f642,f25,f26,f542,f530,f660,f650,f671,f673,f432,f652,f696,f697,f692,f706,f703,f433,f775,f688,f778,f779,f776,f769,f1099,f1121,f443,f1138,f1139,f1142,f1143,f1133,f1189,f1166,f1196,f1153,f1211,f1212,f1131,f1238,f1275,f1251,f1134,f1304,f1316,f887,f84,f125,f170]) ).

fof(f1543,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1542]) ).

fof(f1542,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(global_subsumption,[],[f1541,f1,f2,f12,f38,f45,f46,f47,f48,f49,f50,f3,f54,f56,f57,f62,f64,f68,f65,f70,f63,f74,f79,f80,f82,f76,f83,f77,f85,f87,f89,f98,f100,f78,f103,f104,f105,f110,f72,f118,f81,f101,f127,f135,f137,f133,f134,f139,f145,f148,f140,f166,f170,f185,f154,f202,f243,f247,f248,f249,f250,f251,f24,f18,f6,f30,f252,f35,f59,f436,f23,f17,f5,f32,f31,f29,f28,f14,f523,f13,f524,f11,f525,f10,f526,f33,f15,f529,f43,f531,f544,f634,f638,f639,f9,f21,f27,f4,f640,f7,f8,f16,f641,f19,f20,f22,f642,f25,f26,f542,f530,f660,f650,f671,f673,f432,f652,f696,f697,f692,f706,f703,f433,f775,f688,f778,f779,f776,f769,f1099,f1121,f443,f1138,f1139,f1142,f1143,f1133,f1189,f1166,f1196,f1153,f1211,f1212,f1131,f1238,f1275,f1251,f1134,f1304,f1316,f887,f84,f125]) ).

fof(f1541,plain,
    ( identity = sk_c5
    | spl0_1
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1540,f776]) ).

fof(f1540,plain,
    ( sk_c5 = inverse(identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f76,f266]) ).

fof(f1539,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1538]) ).

fof(f1538,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f12,f38,f45,f46,f47,f48,f49,f50,f3,f54,f56,f57,f62,f64,f68,f65,f70,f63,f74,f79,f80,f82,f76,f83,f77,f85,f87,f89,f98,f100,f78,f103,f104,f105,f110,f72,f118,f81,f101,f127,f135,f137,f133,f134,f139,f145,f148,f140,f166,f170,f185,f154,f202,f243,f247,f248,f249,f250,f251,f24,f18,f6,f30,f252,f35,f59,f436,f23,f17,f5,f32,f31,f29,f28,f14,f523,f13,f524,f11,f525,f10,f526,f33,f15,f529,f43,f531,f544,f634,f638,f639,f9,f21,f27,f4,f640,f7,f8,f16,f641,f19,f20,f22,f642,f25,f26,f542,f530,f660,f650,f671,f673,f432,f652,f696,f697,f692,f706,f703,f433,f775,f688,f778,f779,f776,f769,f1099,f1121,f443,f1138,f1139,f1142,f1143,f1133,f1189,f1166,f1196,f1153,f1211,f1212,f1131,f1238,f1275,f1251,f1134,f1304,f1316,f887,f84,f125]) ).

fof(f1537,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1536]) ).

fof(f1536,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f12,f38,f45,f46,f47,f48,f49,f50,f3,f54,f56,f57,f62,f64,f68,f65,f70,f63,f74,f79,f80,f82,f76,f83,f77,f85,f87,f89,f98,f100,f78,f103,f104,f105,f110,f72,f118,f81,f101,f127,f125,f135,f137,f133,f134,f139,f145,f148,f140,f166,f170,f185,f154,f202,f243,f247,f248,f249,f250,f251,f24,f18,f6,f30,f252,f35,f59,f436,f23,f17,f5,f32,f31,f29,f28,f14,f523,f13,f524,f11,f525,f10,f526,f33,f15,f529,f43,f531,f544,f634,f638,f639,f9,f21,f27,f4,f640,f7,f8,f16,f641,f19,f20,f22,f642,f25,f26,f542,f530,f660,f650,f671,f673,f432,f652,f696,f697,f692,f706,f703,f433,f775,f688,f778,f779,f776,f769,f1099,f1121,f443,f1138,f1139,f1142,f1143,f1133,f1189,f1166,f1196,f1153,f1211,f1212,f1131,f1238,f1275,f1251,f1134,f1304,f1316,f887,f84]) ).

fof(f1535,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1534]) ).

fof(f1534,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_10 ),
    inference(global_subsumption,[],[f1533,f1,f2,f12,f38,f45,f46,f47,f48,f49,f50,f3,f54,f56,f57,f62,f64,f68,f65,f70,f63,f74,f79,f80,f82,f76,f83,f77,f85,f87,f84,f89,f98,f100,f78,f103,f104,f105,f110,f72,f118,f81,f101,f127,f125,f135,f137,f133,f134,f139,f145,f148,f140,f166,f170,f185,f154,f202,f243,f247,f248,f249,f250,f251,f24,f18,f6,f30,f252,f35,f59,f436,f23,f17,f5,f32,f31,f29,f28,f14,f523,f13,f524,f11,f525,f10,f526,f33,f15,f529,f43,f531,f544,f634,f638,f639,f9,f21,f27,f4,f640,f7,f8,f16,f641,f19,f20,f22,f642,f25,f26,f542,f530,f660,f650,f671,f673,f432,f652,f696,f697,f692,f706,f703,f433,f775,f688,f778,f779,f776,f769,f1099,f1121,f443,f1138,f1139,f1142,f1143,f1133,f1189,f1166,f1196,f1153,f1211,f1212,f1131,f1238,f1275,f1251,f1134,f1304,f1316,f887]) ).

fof(f1532,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1531]) ).

fof(f1531,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f12,f38,f45,f46,f47,f48,f49,f50,f3,f54,f56,f57,f62,f64,f68,f65,f70,f63,f74,f79,f80,f82,f76,f83,f77,f85,f87,f84,f89,f98,f100,f78,f103,f104,f105,f110,f72,f118,f81,f101,f127,f125,f135,f137,f133,f134,f139,f145,f148,f140,f166,f170,f185,f154,f202,f243,f247,f248,f249,f250,f251,f24,f18,f6,f30,f252,f35,f59,f436,f23,f17,f5,f32,f31,f29,f28,f14,f523,f13,f524,f11,f525,f10,f526,f33,f15,f529,f43,f531,f544,f634,f638,f639,f9,f21,f27,f4,f640,f7,f8,f16,f641,f19,f20,f22,f642,f25,f26,f542,f530,f660,f650,f671,f673,f432,f652,f696,f697,f692,f706,f703,f433,f775,f688,f778,f779,f776,f769,f1099,f1121,f443,f1138,f1139,f1142,f1143,f1133,f1189,f1166,f1196,f1153,f1211,f1212,f1131,f1238,f1275,f1251,f1134,f1304,f1316,f887]) ).

fof(f1530,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_7
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1529]) ).

fof(f1529,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_7
    | spl0_10 ),
    inference(global_subsumption,[],[f734,f1,f2,f12,f38,f45,f46,f47,f48,f49,f50,f3,f54,f56,f57,f62,f64,f68,f65,f70,f63,f74,f79,f80,f82,f76,f83,f77,f85,f87,f84,f89,f98,f100,f78,f103,f104,f105,f110,f72,f118,f81,f101,f127,f125,f135,f137,f133,f134,f139,f145,f148,f140,f166,f170,f185,f154,f202,f243,f247,f248,f249,f250,f251,f24,f18,f6,f30,f252,f35,f59,f436,f23,f17,f5,f32,f31,f29,f28,f14,f523,f13,f524,f11,f525,f10,f526,f33,f15,f529,f43,f531,f544,f634,f638,f639,f9,f21,f27,f4,f640,f7,f8,f16,f641,f19,f20,f22,f642,f25,f26,f542,f530,f660,f650,f671,f673,f432,f652,f696,f697,f692,f706,f703,f433,f775,f688,f778,f779,f776,f887,f769,f1099,f1121,f443,f1138,f1139,f1142,f1143,f1133,f1189,f1166,f1196,f1153,f1211,f1212,f1131,f1238,f1275,f1251,f1134,f1304,f1316]) ).

fof(f1527,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1526]) ).

fof(f1526,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | spl0_10 ),
    inference(global_subsumption,[],[f1217,f1,f2,f12,f38,f45,f46,f47,f48,f49,f50,f3,f54,f56,f57,f62,f64,f68,f65,f70,f63,f74,f79,f80,f82,f76,f83,f77,f85,f87,f84,f89,f98,f100,f78,f103,f104,f105,f110,f72,f118,f81,f101,f127,f125,f135,f137,f133,f134,f139,f145,f148,f140,f166,f170,f185,f154,f202,f243,f247,f248,f249,f250,f251,f24,f18,f6,f30,f252,f35,f59,f436,f23,f17,f5,f32,f31,f29,f28,f14,f523,f13,f524,f11,f525,f10,f526,f33,f15,f529,f43,f531,f544,f634,f638,f639,f9,f21,f27,f4,f640,f7,f8,f16,f641,f19,f20,f22,f642,f25,f26,f542,f530,f660,f650,f671,f673,f432,f652,f696,f697,f692,f706,f703,f433,f775,f688,f778,f779,f776,f887,f769,f1099,f1121,f443,f1138,f1139,f1142,f1143,f1133,f1189,f1166,f1196,f1153,f1211,f1212,f1131,f1238,f1275,f1251,f1134,f1304,f1316]) ).

fof(f1520,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1519]) ).

fof(f1519,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | spl0_10 ),
    inference(global_subsumption,[],[f1518,f1,f2,f12,f38,f45,f46,f47,f48,f49,f50,f3,f54,f56,f57,f62,f64,f68,f65,f70,f63,f74,f79,f80,f82,f76,f83,f77,f85,f87,f84,f89,f98,f100,f78,f103,f104,f105,f110,f72,f118,f81,f101,f127,f125,f135,f137,f133,f134,f139,f145,f148,f140,f166,f170,f185,f154,f202,f243,f247,f248,f249,f250,f251,f24,f18,f6,f30,f252,f35,f59,f436,f23,f17,f5,f32,f31,f29,f28,f14,f523,f13,f524,f11,f525,f10,f526,f33,f15,f529,f43,f531,f544,f634,f638,f639,f9,f21,f27,f4,f640,f7,f8,f16,f641,f19,f20,f22,f642,f25,f26,f542,f530,f660,f650,f671,f673,f432,f652,f696,f697,f692,f706,f703,f433,f775,f688,f778,f779,f776,f887,f769,f1099,f1121,f443,f1138,f1139,f1142,f1143,f1133,f1189,f1166,f1196,f1153,f1211,f1212,f1131,f1238,f1275,f1251,f1134,f1304,f1316]) ).

fof(f1515,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1514]) ).

fof(f1514,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | spl0_10 ),
    inference(global_subsumption,[],[f1513,f1,f2,f12,f38,f45,f46,f47,f48,f49,f50,f3,f54,f56,f57,f62,f64,f68,f65,f70,f63,f74,f79,f80,f82,f76,f83,f77,f85,f87,f84,f89,f98,f100,f78,f103,f104,f105,f110,f72,f118,f81,f101,f127,f125,f135,f137,f133,f134,f139,f145,f148,f140,f166,f170,f185,f154,f202,f243,f247,f248,f249,f250,f251,f24,f18,f6,f30,f252,f35,f59,f436,f23,f17,f5,f32,f31,f29,f28,f14,f523,f13,f524,f11,f525,f10,f526,f33,f15,f529,f43,f531,f544,f634,f638,f639,f9,f21,f27,f4,f640,f7,f8,f16,f641,f19,f20,f22,f642,f25,f26,f542,f530,f660,f650,f671,f673,f432,f652,f696,f697,f692,f706,f703,f433,f775,f688,f778,f779,f776,f887,f769,f1099,f1121,f443,f1138,f1139,f1142,f1143,f1133,f1189,f1166,f1196,f1153,f1211,f1212,f1131,f1238,f1275,f1251,f1134,f1304,f1316]) ).

fof(f1513,plain,
    ( identity = sk_c2
    | sk_c5 = inverse(sk_c3)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1512,f796]) ).

fof(f1512,plain,
    ( sk_c2 = multiply(sk_c5,sk_c5)
    | sk_c5 = inverse(sk_c3)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1511,f709]) ).

fof(f709,plain,
    ( sk_c5 = sk_c1
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f703,f547]) ).

fof(f547,plain,
    ( sk_c1 = multiply(sk_c5,identity)
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f545,f43]) ).

fof(f545,plain,
    ( sk_c1 = multiply(inverse(sk_c7),identity)
    | ~ spl0_5 ),
    inference(superposition,[],[f59,f533]) ).

fof(f533,plain,
    ( identity = multiply(sk_c7,sk_c1)
    | ~ spl0_5 ),
    inference(superposition,[],[f2,f262]) ).

fof(f262,plain,
    ( sk_c7 = inverse(sk_c1)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f260]) ).

fof(f1486,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1485]) ).

fof(f1485,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | spl0_10 ),
    inference(global_subsumption,[],[f1484,f1,f2,f12,f38,f45,f46,f47,f48,f49,f50,f3,f54,f56,f57,f62,f64,f68,f65,f70,f63,f74,f79,f80,f82,f76,f83,f77,f85,f87,f84,f89,f98,f100,f78,f103,f104,f105,f110,f72,f118,f81,f101,f127,f125,f135,f137,f133,f134,f139,f145,f148,f140,f166,f170,f185,f154,f202,f243,f247,f248,f249,f250,f251,f24,f18,f6,f30,f252,f35,f59,f436,f23,f17,f5,f32,f31,f29,f28,f14,f523,f13,f524,f11,f525,f10,f526,f33,f15,f529,f43,f531,f544,f634,f638,f639,f9,f21,f27,f4,f640,f7,f8,f16,f641,f19,f20,f22,f642,f25,f26,f542,f530,f660,f650,f671,f673,f432,f652,f696,f697,f692,f706,f703,f433,f775,f688,f778,f779,f776,f887,f769,f1099,f1121,f443,f1138,f1139,f1142,f1143,f1133,f1189,f1166,f1196,f1153,f1211,f1212,f1131,f1238,f1275,f1251,f1134,f1304,f1316]) ).

fof(f1479,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1478]) ).

fof(f1478,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | spl0_10 ),
    inference(global_subsumption,[],[f1477,f1,f2,f12,f38,f45,f46,f47,f48,f49,f50,f3,f54,f56,f57,f62,f64,f68,f65,f70,f63,f74,f79,f80,f82,f76,f83,f77,f85,f87,f84,f89,f98,f100,f78,f103,f104,f105,f110,f72,f118,f81,f101,f127,f125,f135,f137,f133,f134,f139,f145,f148,f140,f166,f170,f185,f154,f202,f243,f247,f248,f249,f250,f251,f24,f18,f6,f30,f252,f35,f59,f436,f23,f17,f5,f32,f31,f29,f28,f14,f523,f13,f524,f11,f525,f10,f526,f33,f15,f529,f43,f531,f544,f634,f638,f639,f9,f21,f27,f4,f640,f7,f8,f16,f641,f19,f20,f22,f642,f25,f26,f542,f530,f660,f650,f671,f673,f432,f652,f696,f697,f692,f706,f703,f433,f775,f688,f778,f779,f776,f887,f769,f1099,f1121,f443,f1138,f1139,f1142,f1143,f1133,f1189,f1166,f1196,f1153,f1211,f1212,f1131,f1238,f1275,f1251,f1134,f1304,f1316]) ).

fof(f1477,plain,
    ( sk_c5 = multiply(sk_c3,identity)
    | identity = sk_c2
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1476,f739]) ).

fof(f1476,plain,
    ( sk_c7 = multiply(sk_c3,identity)
    | identity = sk_c2
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1475,f266]) ).

fof(f1475,plain,
    ( identity = sk_c2
    | sk_c7 = multiply(sk_c3,sk_c6)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1474,f796]) ).

fof(f1474,plain,
    ( sk_c2 = multiply(sk_c5,sk_c5)
    | sk_c7 = multiply(sk_c3,sk_c6)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f911,f709]) ).

fof(f1473,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1472]) ).

fof(f1472,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | spl0_10 ),
    inference(global_subsumption,[],[f1471,f1,f2,f12,f38,f45,f46,f47,f48,f49,f50,f3,f54,f56,f57,f62,f64,f68,f65,f70,f63,f74,f79,f80,f82,f76,f83,f77,f85,f87,f84,f89,f98,f100,f78,f103,f104,f105,f110,f72,f118,f81,f101,f127,f125,f135,f137,f133,f134,f139,f145,f148,f140,f166,f170,f185,f154,f202,f243,f247,f248,f249,f250,f251,f24,f18,f6,f30,f252,f35,f59,f436,f23,f17,f5,f32,f31,f29,f28,f14,f523,f13,f524,f11,f525,f10,f526,f33,f15,f529,f43,f531,f544,f634,f638,f639,f9,f21,f27,f4,f640,f7,f8,f16,f641,f19,f20,f22,f642,f25,f26,f542,f530,f660,f650,f671,f673,f432,f652,f696,f697,f692,f706,f703,f433,f775,f688,f778,f779,f776,f887,f769,f1099,f1121,f443,f1138,f1139,f1142,f1143,f1133,f1189,f1166,f1196,f1153,f1211,f1212,f1131,f1238,f1275,f1251,f1134,f1304,f1316]) ).

fof(f1471,plain,
    ( sk_c5 = multiply(sk_c4,sk_c5)
    | identity = sk_c2
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1470,f739]) ).

fof(f1470,plain,
    ( identity = sk_c2
    | sk_c7 = multiply(sk_c4,sk_c5)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1469,f796]) ).

fof(f1469,plain,
    ( sk_c2 = multiply(sk_c5,sk_c5)
    | sk_c7 = multiply(sk_c4,sk_c5)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f920,f709]) ).

fof(f1468,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1467]) ).

fof(f1467,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | spl0_10 ),
    inference(global_subsumption,[],[f1466,f1,f2,f12,f38,f45,f46,f47,f48,f49,f50,f3,f54,f56,f57,f62,f64,f68,f65,f70,f63,f74,f79,f80,f82,f76,f83,f77,f85,f87,f84,f89,f98,f100,f78,f103,f104,f105,f110,f72,f118,f81,f101,f127,f125,f135,f137,f133,f134,f139,f145,f148,f140,f166,f170,f185,f154,f202,f243,f247,f248,f249,f250,f251,f24,f18,f6,f30,f252,f35,f59,f436,f23,f17,f5,f32,f31,f29,f28,f14,f523,f13,f524,f11,f525,f10,f526,f33,f15,f529,f43,f531,f544,f634,f638,f639,f9,f21,f27,f4,f640,f7,f8,f16,f641,f19,f20,f22,f642,f25,f26,f542,f530,f660,f650,f671,f673,f432,f652,f696,f697,f692,f706,f703,f433,f775,f688,f778,f779,f776,f887,f769,f1099,f1121,f443,f1138,f1139,f1142,f1143,f1133,f1189,f1166,f1196,f1153,f1211,f1212,f1131,f1238,f1275,f1251,f1134,f1304,f1316]) ).

fof(f1466,plain,
    ( identity = sk_c2
    | sk_c5 = inverse(sk_c4)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1465,f796]) ).

fof(f1465,plain,
    ( sk_c2 = multiply(sk_c5,sk_c5)
    | sk_c5 = inverse(sk_c4)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f958,f709]) ).

fof(f1464,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1463]) ).

fof(f1463,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f1462,f1,f2,f12,f38,f45,f46,f47,f48,f49,f50,f3,f54,f56,f57,f62,f64,f68,f65,f70,f63,f74,f79,f80,f82,f76,f83,f77,f85,f87,f84,f89,f98,f100,f78,f103,f104,f105,f110,f72,f118,f81,f101,f127,f125,f135,f137,f133,f134,f139,f145,f148,f140,f166,f170,f185,f154,f202,f243,f247,f248,f249,f250,f251,f24,f18,f6,f30,f252,f35,f59,f436,f23,f17,f5,f32,f31,f29,f28,f14,f523,f13,f524,f11,f525,f10,f526,f33,f15,f529,f43,f531,f544,f634,f638,f639,f9,f21,f27,f4,f640,f7,f8,f16,f641,f19,f20,f22,f642,f25,f26,f542,f530,f660,f650,f671,f673,f432,f652,f696,f697,f692,f706,f703,f433,f775,f688,f778,f779,f776,f887,f769,f1099,f1121,f443,f1138,f1139,f1142,f1143,f1133,f1189,f1166,f1196,f1153,f1211,f1212,f1131,f1238,f1275,f1251,f1134,f1304,f1316]) ).

fof(f1461,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1460]) ).

fof(f1460,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f899,f1,f2,f12,f38,f45,f46,f47,f48,f49,f50,f3,f54,f56,f57,f62,f64,f68,f65,f70,f63,f74,f79,f80,f82,f76,f83,f77,f85,f87,f84,f89,f98,f100,f78,f103,f104,f105,f110,f72,f118,f81,f101,f127,f125,f135,f137,f133,f134,f139,f145,f148,f140,f166,f170,f185,f154,f202,f243,f247,f248,f249,f250,f251,f24,f18,f6,f30,f252,f35,f59,f436,f23,f17,f5,f32,f31,f29,f28,f14,f523,f13,f524,f11,f525,f10,f526,f33,f15,f529,f43,f531,f544,f634,f638,f639,f9,f21,f27,f4,f640,f7,f8,f16,f641,f19,f20,f22,f642,f25,f26,f542,f530,f660,f650,f671,f673,f432,f652,f696,f697,f692,f706,f703,f433,f775,f688,f778,f779,f776,f887,f769,f1099,f1121,f443,f1138,f1139,f1142,f1143,f1133,f1189,f1166,f1196,f1153,f1211,f1212,f1131,f1238,f1275,f1251,f1134,f1304,f1316]) ).

fof(f1459,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1458]) ).

fof(f1458,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f983,f1,f2,f12,f38,f45,f46,f47,f48,f49,f50,f3,f54,f56,f57,f62,f64,f68,f65,f70,f63,f74,f79,f80,f82,f76,f83,f77,f85,f87,f84,f89,f98,f100,f78,f103,f104,f105,f110,f72,f118,f81,f101,f127,f125,f135,f137,f133,f134,f139,f145,f148,f140,f166,f170,f185,f154,f202,f243,f247,f248,f249,f250,f251,f24,f18,f6,f30,f252,f35,f59,f436,f23,f17,f5,f32,f31,f29,f28,f14,f523,f13,f524,f11,f525,f10,f526,f33,f15,f529,f43,f531,f544,f634,f638,f639,f9,f21,f27,f4,f640,f7,f8,f16,f641,f19,f20,f22,f642,f25,f26,f542,f530,f660,f650,f671,f673,f432,f652,f696,f697,f692,f706,f703,f433,f775,f688,f778,f779,f776,f887,f769,f1099,f1121,f443,f1138,f1139,f1142,f1143,f1133,f1189,f1166,f1196,f1153,f1211,f1212,f1131,f1238,f1275,f1251,f1134,f1304,f1316]) ).

fof(f1457,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1456]) ).

fof(f1456,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f884,f1,f2,f12,f38,f45,f46,f47,f48,f49,f50,f3,f54,f56,f57,f62,f64,f68,f65,f70,f63,f74,f79,f80,f82,f76,f83,f77,f85,f87,f84,f89,f98,f100,f78,f103,f104,f105,f110,f72,f118,f81,f101,f127,f125,f135,f137,f133,f134,f139,f145,f148,f140,f166,f170,f185,f154,f202,f243,f247,f248,f249,f250,f251,f24,f18,f6,f30,f252,f35,f59,f436,f23,f17,f5,f32,f31,f29,f28,f14,f523,f13,f524,f11,f525,f10,f526,f33,f15,f529,f43,f531,f544,f634,f638,f639,f9,f21,f27,f4,f640,f7,f8,f16,f641,f19,f20,f22,f642,f25,f26,f542,f530,f660,f650,f671,f673,f432,f652,f696,f697,f692,f706,f703,f433,f775,f688,f778,f779,f776,f887,f769,f1099,f1121,f443,f1138,f1139,f1142,f1143,f1133,f1189,f1166,f1196,f1153,f1211,f1212,f1131,f1238,f1275,f1251,f1134,f1304,f1316]) ).

fof(f1455,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1454]) ).

fof(f1454,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | spl0_10 ),
    inference(global_subsumption,[],[f970,f1,f2,f12,f38,f45,f46,f47,f48,f49,f50,f3,f54,f56,f57,f62,f64,f68,f65,f70,f63,f74,f79,f80,f82,f76,f83,f77,f85,f87,f84,f89,f98,f100,f78,f103,f104,f105,f110,f72,f118,f81,f101,f127,f125,f135,f137,f133,f134,f139,f145,f148,f140,f166,f170,f185,f154,f202,f243,f247,f248,f249,f250,f251,f24,f18,f6,f30,f252,f35,f59,f436,f23,f17,f5,f32,f31,f29,f28,f14,f523,f13,f524,f11,f525,f10,f526,f33,f15,f529,f43,f531,f544,f634,f638,f639,f9,f21,f27,f4,f640,f7,f8,f16,f641,f19,f20,f22,f642,f25,f26,f542,f530,f660,f650,f671,f673,f432,f652,f696,f697,f692,f706,f703,f433,f775,f688,f778,f779,f776,f887,f769,f1099,f1121,f443,f1138,f1139,f1142,f1143,f1133,f1189,f1166,f1196,f1153,f1211,f1212,f1131,f1238,f1275,f1251,f1134,f1304,f1316]) ).

fof(f1453,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1452]) ).

fof(f1452,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | spl0_10 ),
    inference(global_subsumption,[],[f973,f1,f2,f12,f38,f45,f46,f47,f48,f49,f50,f3,f54,f56,f57,f62,f64,f68,f65,f70,f63,f74,f79,f80,f82,f76,f83,f77,f85,f87,f84,f89,f98,f100,f78,f103,f104,f105,f110,f72,f118,f81,f101,f127,f125,f135,f137,f133,f134,f139,f145,f148,f140,f166,f170,f185,f154,f202,f243,f247,f248,f249,f250,f251,f24,f18,f6,f30,f252,f35,f59,f436,f23,f17,f5,f32,f31,f29,f28,f14,f523,f13,f524,f11,f525,f10,f526,f33,f15,f529,f43,f531,f544,f634,f638,f639,f9,f21,f27,f4,f640,f7,f8,f16,f641,f19,f20,f22,f642,f25,f26,f542,f530,f660,f650,f671,f673,f432,f652,f696,f697,f692,f706,f703,f433,f775,f688,f778,f779,f776,f887,f769,f1099,f1121,f443,f1138,f1139,f1142,f1143,f1133,f1189,f1166,f1196,f1153,f1211,f1212,f1131,f1238,f1275,f1251,f1134,f1304,f1316]) ).

fof(f1436,plain,
    ~ spl0_11,
    inference(avatar_contradiction_clause,[],[f1435]) ).

fof(f1435,plain,
    ( $false
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f1430,f1153]) ).

fof(f1430,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_11 ),
    inference(trivial_inequality_removal,[],[f1429]) ).

fof(f1429,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_11 ),
    inference(superposition,[],[f1343,f1131]) ).

fof(f1343,plain,
    ( ! [X4] :
        ( identity != multiply(identity,X4)
        | identity != inverse(X4) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f1342]) ).

fof(f1342,plain,
    ( spl0_11
  <=> ! [X4] :
        ( identity != multiply(identity,X4)
        | identity != inverse(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f1433,plain,
    ~ spl0_11,
    inference(avatar_contradiction_clause,[],[f1432]) ).

fof(f1432,plain,
    ( $false
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f1431,f776]) ).

fof(f1431,plain,
    ( identity != inverse(identity)
    | ~ spl0_11 ),
    inference(trivial_inequality_removal,[],[f1427]) ).

fof(f1427,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl0_11 ),
    inference(superposition,[],[f1343,f1133]) ).

fof(f1420,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1419]) ).

fof(f1419,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1418,f776]) ).

fof(f1418,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1417,f888]) ).

fof(f888,plain,
    ( identity = sk_c5
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f886]) ).

fof(f1417,plain,
    ( identity != inverse(sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1416,f708]) ).

fof(f1416,plain,
    ( identity != inverse(sk_c3)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1415,f1]) ).

fof(f1415,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(sk_c3)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1359,f888]) ).

fof(f1359,plain,
    ( identity != multiply(sk_c5,identity)
    | identity != inverse(sk_c3)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(superposition,[],[f241,f647]) ).

fof(f241,plain,
    ( ! [X5] :
        ( identity != multiply(X5,identity)
        | identity != inverse(X5) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f240]) ).

fof(f240,plain,
    ( spl0_4
  <=> ! [X5] :
        ( identity != multiply(X5,identity)
        | identity != inverse(X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f1414,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1413]) ).

fof(f1413,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1412,f776]) ).

fof(f1412,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1411,f888]) ).

fof(f1411,plain,
    ( identity != inverse(sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1410,f739]) ).

fof(f1410,plain,
    ( identity != inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1409,f715]) ).

fof(f715,plain,
    ( sk_c7 = inverse(sk_c5)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f39,f708]) ).

fof(f1409,plain,
    ( identity != inverse(inverse(sk_c5))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1408,f1008]) ).

fof(f1008,plain,
    ( identity = sk_c7
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f989,f2]) ).

fof(f989,plain,
    ( sk_c7 = multiply(inverse(identity),identity)
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(superposition,[],[f542,f888]) ).

fof(f1408,plain,
    ( identity != sk_c7
    | identity != inverse(inverse(sk_c5))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f1358,f680]) ).

fof(f1358,plain,
    ( identity != multiply(sk_c7,identity)
    | identity != inverse(inverse(sk_c5))
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(superposition,[],[f241,f652]) ).

fof(f1407,plain,
    ~ spl0_4,
    inference(avatar_contradiction_clause,[],[f1406]) ).

fof(f1406,plain,
    ( $false
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f1405,f1153]) ).

fof(f1405,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f1362,f1153]) ).

fof(f1362,plain,
    ( identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f1357]) ).

fof(f1357,plain,
    ( identity != identity
    | identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_4 ),
    inference(superposition,[],[f241,f769]) ).

fof(f1404,plain,
    ~ spl0_4,
    inference(avatar_contradiction_clause,[],[f1403]) ).

fof(f1403,plain,
    ( $false
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f1402,f776]) ).

fof(f1402,plain,
    ( identity != inverse(identity)
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f1363,f1153]) ).

fof(f1363,plain,
    ( identity != inverse(inverse(inverse(identity)))
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f1356]) ).

fof(f1356,plain,
    ( identity != identity
    | identity != inverse(inverse(inverse(identity)))
    | ~ spl0_4 ),
    inference(superposition,[],[f241,f688]) ).

fof(f1401,plain,
    ~ spl0_4,
    inference(avatar_contradiction_clause,[],[f1400]) ).

fof(f1400,plain,
    ( $false
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f1364,f1153]) ).

fof(f1364,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f1355]) ).

fof(f1355,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_4 ),
    inference(superposition,[],[f241,f432]) ).

fof(f1399,plain,
    ~ spl0_4,
    inference(avatar_contradiction_clause,[],[f1398]) ).

fof(f1398,plain,
    ( $false
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f1365,f1153]) ).

fof(f1365,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f1354]) ).

fof(f1354,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_4 ),
    inference(superposition,[],[f241,f2]) ).

fof(f1397,plain,
    ~ spl0_4,
    inference(avatar_contradiction_clause,[],[f1396]) ).

fof(f1396,plain,
    ( $false
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f1366,f776]) ).

fof(f1366,plain,
    ( identity != inverse(identity)
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f1353]) ).

fof(f1353,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl0_4 ),
    inference(superposition,[],[f241,f1]) ).

fof(f1395,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1394]) ).

fof(f1394,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1393,f776]) ).

fof(f1393,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1392,f888]) ).

fof(f1392,plain,
    ( identity != inverse(sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1391,f739]) ).

fof(f1391,plain,
    ( identity != inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1352,f1008]) ).

fof(f1352,plain,
    ( identity != sk_c7
    | identity != inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(superposition,[],[f241,f680]) ).

fof(f1390,plain,
    ( ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1389]) ).

fof(f1389,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1388,f776]) ).

fof(f1388,plain,
    ( identity != inverse(identity)
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1387,f888]) ).

fof(f1387,plain,
    ( identity != inverse(sk_c5)
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1351,f1009]) ).

fof(f1009,plain,
    ( identity = sk_c1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f990,f1]) ).

fof(f990,plain,
    ( sk_c1 = multiply(identity,identity)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(superposition,[],[f547,f888]) ).

fof(f1351,plain,
    ( identity != sk_c1
    | identity != inverse(sk_c5)
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(superposition,[],[f241,f547]) ).

fof(f1386,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1385]) ).

fof(f1385,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1384,f776]) ).

fof(f1384,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1383,f888]) ).

fof(f1383,plain,
    ( identity != inverse(sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1350,f1010]) ).

fof(f1010,plain,
    ( identity = sk_c3
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f991,f1]) ).

fof(f991,plain,
    ( sk_c3 = multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(superposition,[],[f613,f888]) ).

fof(f1350,plain,
    ( identity != sk_c3
    | identity != inverse(sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(superposition,[],[f241,f613]) ).

fof(f1382,plain,
    ( ~ spl0_2
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1381]) ).

fof(f1381,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1380,f776]) ).

fof(f1380,plain,
    ( identity != inverse(identity)
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1379,f888]) ).

fof(f1379,plain,
    ( identity != inverse(sk_c5)
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1349,f888]) ).

fof(f1349,plain,
    ( identity != sk_c5
    | identity != inverse(sk_c5)
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(superposition,[],[f241,f703]) ).

fof(f1377,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1376]) ).

fof(f1376,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1375,f776]) ).

fof(f1375,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1374,f888]) ).

fof(f1374,plain,
    ( identity != inverse(sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1373,f1153]) ).

fof(f1373,plain,
    ( identity != inverse(inverse(inverse(sk_c5)))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1347,f1010]) ).

fof(f1347,plain,
    ( identity != sk_c3
    | identity != inverse(inverse(inverse(sk_c5)))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(superposition,[],[f241,f654]) ).

fof(f654,plain,
    ( sk_c3 = multiply(inverse(inverse(sk_c5)),identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f59,f645]) ).

fof(f645,plain,
    ( identity = multiply(inverse(sk_c5),sk_c3)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f59,f613]) ).

fof(f1372,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1371]) ).

fof(f1371,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1370,f776]) ).

fof(f1370,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1369,f888]) ).

fof(f1369,plain,
    ( identity != inverse(sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1368,f739]) ).

fof(f1368,plain,
    ( identity != inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1367,f715]) ).

fof(f1367,plain,
    ( identity != inverse(inverse(sk_c5))
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1346,f1008]) ).

fof(f1346,plain,
    ( identity != sk_c7
    | identity != inverse(inverse(sk_c5))
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(superposition,[],[f241,f542]) ).

fof(f1344,plain,
    ( spl0_11
    | spl0_4
    | spl0_4
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f1224,f886,f737,f264,f41,f240,f240,f1342]) ).

fof(f1224,plain,
    ( ! [X6,X4,X5] :
        ( identity != multiply(X6,identity)
        | identity != multiply(X5,identity)
        | identity != multiply(identity,X4)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | identity != inverse(X6) )
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1223,f888]) ).

fof(f1223,plain,
    ( ! [X6,X4,X5] :
        ( identity != multiply(X5,identity)
        | identity != multiply(identity,X4)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | identity != inverse(X6)
        | sk_c5 != multiply(X6,sk_c5) )
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1222,f888]) ).

fof(f1222,plain,
    ( ! [X6,X4,X5] :
        ( identity != multiply(identity,X4)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | identity != inverse(X6)
        | sk_c5 != multiply(X5,identity)
        | sk_c5 != multiply(X6,sk_c5) )
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1221,f1133]) ).

fof(f1221,plain,
    ( ! [X6,X4,X5] :
        ( identity != multiply(identity,multiply(X4,identity))
        | identity != inverse(X5)
        | identity != inverse(X4)
        | identity != inverse(X6)
        | sk_c5 != multiply(X5,identity)
        | sk_c5 != multiply(X6,sk_c5) )
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1220,f888]) ).

fof(f1220,plain,
    ( ! [X6,X4,X5] :
        ( identity != inverse(X5)
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != multiply(sk_c5,multiply(X4,sk_c5))
        | sk_c5 != multiply(X5,identity)
        | sk_c5 != multiply(X6,sk_c5) )
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1219,f888]) ).

fof(f1219,plain,
    ( ! [X6,X4,X5] :
        ( identity != inverse(X4)
        | identity != inverse(X6)
        | sk_c5 != inverse(X5)
        | identity != multiply(sk_c5,multiply(X4,sk_c5))
        | sk_c5 != multiply(X5,identity)
        | sk_c5 != multiply(X6,sk_c5) )
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1218,f888]) ).

fof(f1218,plain,
    ( ! [X6,X4,X5] :
        ( identity != inverse(X6)
        | sk_c5 != inverse(X4)
        | sk_c5 != inverse(X5)
        | identity != multiply(sk_c5,multiply(X4,sk_c5))
        | sk_c5 != multiply(X5,identity)
        | sk_c5 != multiply(X6,sk_c5) )
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1217,f888]) ).

fof(f982,plain,
    ( ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f981]) ).

fof(f981,plain,
    ( $false
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | spl0_9 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f24,f18,f6,f30,f35,f59,f436,f443,f23,f17,f5,f32,f31,f29,f28,f14,f13,f11,f10,f33,f15,f9,f21,f27,f4,f7,f8,f16,f19,f20,f22,f25,f26,f266,f432,f724,f433,f769,f775,f688,f778,f779,f791,f739,f776,f734,f969,f970,f972,f973,f883]) ).

fof(f883,plain,
    ( identity != multiply(sk_c5,sk_c2)
    | spl0_9 ),
    inference(avatar_component_clause,[],[f882]) ).

fof(f967,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f966]) ).

fof(f966,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f12,f45,f3,f62,f243,f247,f248,f249,f250,f251,f24,f18,f6,f30,f39,f253,f254,f258,f252,f35,f256,f59,f436,f443,f453,f441,f23,f17,f5,f32,f31,f29,f28,f14,f523,f13,f524,f11,f525,f10,f526,f33,f15,f529,f43,f262,f532,f531,f544,f533,f548,f547,f561,f563,f634,f638,f639,f9,f21,f27,f4,f640,f7,f8,f16,f641,f19,f20,f22,f642,f25,f26,f613,f644,f643,f542,f653,f645,f656,f530,f657,f660,f665,f647,f669,f650,f671,f673,f654,f674,f677,f666,f680,f432,f652,f696,f697,f692,f706,f703,f710,f711,f708,f709,f722,f715,f433,f769,f775,f688,f778,f779,f739,f802,f803,f795,f805,f807,f799,f801,f792,f819,f817,f796,f831,f776,f816,f887,f884,f895,f897,f900,f899,f954,f963,f734]) ).

fof(f963,plain,
    ( sk_c5 = inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10 ),
    inference(subsumption_resolution,[],[f962,f887]) ).

fof(f962,plain,
    ( identity = sk_c5
    | sk_c5 = inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f961,f899]) ).

fof(f961,plain,
    ( identity = sk_c2
    | sk_c5 = inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f960,f796]) ).

fof(f960,plain,
    ( sk_c2 = multiply(sk_c5,sk_c5)
    | sk_c5 = inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f959,f708]) ).

fof(f959,plain,
    ( sk_c2 = multiply(sk_c3,sk_c5)
    | sk_c5 = inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f958,f643]) ).

fof(f954,plain,
    ( sk_c5 = multiply(sk_c4,sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10 ),
    inference(forward_demodulation,[],[f925,f739]) ).

fof(f925,plain,
    ( sk_c7 = multiply(sk_c4,sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10 ),
    inference(subsumption_resolution,[],[f924,f887]) ).

fof(f924,plain,
    ( identity = sk_c5
    | sk_c7 = multiply(sk_c4,sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f923,f899]) ).

fof(f923,plain,
    ( identity = sk_c2
    | sk_c7 = multiply(sk_c4,sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f922,f796]) ).

fof(f922,plain,
    ( sk_c2 = multiply(sk_c5,sk_c5)
    | sk_c7 = multiply(sk_c4,sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f921,f647]) ).

fof(f921,plain,
    ( sk_c2 = multiply(sk_c3,sk_c5)
    | sk_c7 = multiply(sk_c4,sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f920,f643]) ).

fof(f900,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c2,X0)) = X0
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f893,f1]) ).

fof(f893,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c2,X0))
    | ~ spl0_9 ),
    inference(superposition,[],[f3,f884]) ).

fof(f897,plain,
    ( sk_c5 = sk_c2
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f896,f739]) ).

fof(f895,plain,
    ( sk_c5 = sk_c2
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f894,f708]) ).

fof(f894,plain,
    ( sk_c3 = sk_c2
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f890,f613]) ).

fof(f831,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c5,X0)) = X0
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f827,f1]) ).

fof(f827,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c5,X0))
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f796]) ).

fof(f817,plain,
    ( identity = multiply(sk_c5,sk_c5)
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(superposition,[],[f2,f792]) ).

fof(f819,plain,
    ( identity = multiply(sk_c5,sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f810,f708]) ).

fof(f810,plain,
    ( identity = multiply(sk_c5,sk_c3)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(superposition,[],[f645,f792]) ).

fof(f801,plain,
    ( identity = multiply(sk_c5,sk_c5)
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(superposition,[],[f692,f739]) ).

fof(f799,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c5,X0)) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(superposition,[],[f666,f739]) ).

fof(f807,plain,
    ( identity = multiply(sk_c5,sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f806,f43]) ).

fof(f806,plain,
    ( identity = multiply(inverse(sk_c7),sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f798,f715]) ).

fof(f798,plain,
    ( identity = multiply(inverse(inverse(sk_c5)),sk_c5)
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(superposition,[],[f650,f739]) ).

fof(f805,plain,
    ( identity = multiply(sk_c5,sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f804,f708]) ).

fof(f804,plain,
    ( identity = multiply(sk_c5,sk_c3)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f797,f643]) ).

fof(f797,plain,
    ( identity = multiply(sk_c5,sk_c1)
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(superposition,[],[f533,f739]) ).

fof(f795,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c5,X0)) = X0
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(superposition,[],[f530,f739]) ).

fof(f803,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c5,X0)) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f794,f647]) ).

fof(f794,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c3,X0)) = X0
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(superposition,[],[f256,f739]) ).

fof(f802,plain,
    ( identity = multiply(sk_c5,sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f793,f708]) ).

fof(f793,plain,
    ( identity = multiply(sk_c5,sk_c3)
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(superposition,[],[f253,f739]) ).

fof(f722,plain,
    ( sk_c7 = inverse(sk_c5)
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f262,f709]) ).

fof(f711,plain,
    ( sk_c5 = sk_c1
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f547,f703]) ).

fof(f710,plain,
    ( sk_c5 = sk_c3
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f613,f703]) ).

fof(f677,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(inverse(inverse(sk_c5)),X0)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f676,f647]) ).

fof(f676,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(inverse(sk_c5)),X0)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f675,f1]) ).

fof(f675,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(inverse(sk_c5)),multiply(identity,X0))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f654]) ).

fof(f674,plain,
    ( identity = multiply(inverse(inverse(inverse(sk_c5))),sk_c3)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f59,f654]) ).

fof(f669,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c5,X0)) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f667,f39]) ).

fof(f667,plain,
    ( ! [X0] : multiply(inverse(sk_c3),multiply(sk_c5,X0)) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f59,f647]) ).

fof(f665,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c3,X0)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f563,f643]) ).

fof(f657,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c3,X0)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f530,f256]) ).

fof(f656,plain,
    ( ! [X0] : multiply(inverse(sk_c5),multiply(sk_c3,X0)) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f655,f1]) ).

fof(f655,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(sk_c5),multiply(sk_c3,X0))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f645]) ).

fof(f653,plain,
    ( identity = multiply(inverse(sk_c5),sk_c3)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f561,f643]) ).

fof(f643,plain,
    ( sk_c3 = sk_c1
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f613,f547]) ).

fof(f644,plain,
    ( sk_c3 = sk_c1
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f547,f613]) ).

fof(f563,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c1,X0)
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f562,f1]) ).

fof(f562,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c5,multiply(identity,X0))
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f3,f547]) ).

fof(f561,plain,
    ( identity = multiply(inverse(sk_c5),sk_c1)
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f59,f547]) ).

fof(f548,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c1,X0)) = X0
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f546,f1]) ).

fof(f546,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c1,X0))
    | ~ spl0_5 ),
    inference(superposition,[],[f3,f533]) ).

fof(f532,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c1,X0)) = X0
    | ~ spl0_5 ),
    inference(superposition,[],[f59,f262]) ).

fof(f441,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(sk_c7),X0)
    | ~ spl0_1 ),
    inference(superposition,[],[f59,f256]) ).

fof(f258,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c3,X0)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f257,f1]) ).

fof(f257,plain,
    ( ! [X0] : multiply(sk_c5,multiply(identity,X0)) = multiply(sk_c3,X0)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f254]) ).

fof(f254,plain,
    ( sk_c3 = multiply(sk_c5,identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f62,f253]) ).

fof(f953,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f952]) ).

fof(f952,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10 ),
    inference(subsumption_resolution,[],[f939,f887]) ).

fof(f939,plain,
    ( identity = sk_c5
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10 ),
    inference(superposition,[],[f739,f927]) ).

fof(f927,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10 ),
    inference(forward_demodulation,[],[f926,f692]) ).

fof(f926,plain,
    ( sk_c7 = multiply(sk_c7,sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10 ),
    inference(forward_demodulation,[],[f925,f747]) ).

fof(f944,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f943]) ).

fof(f943,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10 ),
    inference(subsumption_resolution,[],[f942,f887]) ).

fof(f942,plain,
    ( identity = sk_c5
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10 ),
    inference(forward_demodulation,[],[f929,f776]) ).

fof(f929,plain,
    ( sk_c5 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10 ),
    inference(superposition,[],[f43,f927]) ).

fof(f941,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f940]) ).

fof(f940,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10 ),
    inference(subsumption_resolution,[],[f928,f887]) ).

fof(f928,plain,
    ( identity = sk_c5
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10 ),
    inference(superposition,[],[f927,f739]) ).

fof(f889,plain,
    ( spl0_9
    | spl0_10
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f880,f737,f733,f264,f41,f886,f882]) ).

fof(f880,plain,
    ( identity = sk_c5
    | identity = multiply(sk_c5,sk_c2)
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f879,f739]) ).

fof(f879,plain,
    ( identity = sk_c7
    | identity = multiply(sk_c5,sk_c2)
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f878,f692]) ).

fof(f878,plain,
    ( sk_c7 = multiply(sk_c7,sk_c5)
    | identity = multiply(sk_c5,sk_c2)
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f877,f747]) ).

fof(f788,plain,
    ( ~ spl0_6
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f787]) ).

fof(f787,plain,
    ( $false
    | ~ spl0_6
    | spl0_8 ),
    inference(subsumption_resolution,[],[f786,f738]) ).

fof(f738,plain,
    ( sk_c5 != sk_c7
    | spl0_8 ),
    inference(avatar_component_clause,[],[f737]) ).

fof(f786,plain,
    ( sk_c5 = sk_c7
    | ~ spl0_6
    | spl0_8 ),
    inference(forward_demodulation,[],[f785,f1]) ).

fof(f785,plain,
    ( sk_c7 = multiply(identity,sk_c5)
    | ~ spl0_6
    | spl0_8 ),
    inference(forward_demodulation,[],[f784,f266]) ).

fof(f784,plain,
    ( multiply(sk_c6,sk_c5) = sk_c7
    | ~ spl0_6
    | spl0_8 ),
    inference(subsumption_resolution,[],[f783,f738]) ).

fof(f740,plain,
    ( spl0_7
    | spl0_8
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f724,f264,f737,f733]) ).

fof(f631,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(avatar_contradiction_clause,[],[f630]) ).

fof(f630,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(subsumption_resolution,[],[f629,f265]) ).

fof(f265,plain,
    ( identity != sk_c6
    | spl0_6 ),
    inference(avatar_component_clause,[],[f264]) ).

fof(f629,plain,
    ( identity = sk_c6
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f628,f573]) ).

fof(f573,plain,
    ( identity = sk_c2
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f571,f2]) ).

fof(f571,plain,
    ( sk_c2 = multiply(inverse(sk_c6),sk_c6)
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f59,f554]) ).

fof(f554,plain,
    ( sk_c6 = multiply(sk_c6,sk_c2)
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f509,f549]) ).

fof(f549,plain,
    ( sk_c6 = sk_c7
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f536,f509]) ).

fof(f536,plain,
    ( sk_c7 = multiply(sk_c7,sk_c2)
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f534,f262]) ).

fof(f534,plain,
    ( sk_c7 = multiply(inverse(sk_c1),sk_c2)
    | ~ spl0_2
    | spl0_6 ),
    inference(superposition,[],[f59,f505]) ).

fof(f505,plain,
    ( sk_c2 = multiply(sk_c1,sk_c7)
    | ~ spl0_2
    | spl0_6 ),
    inference(global_subsumption,[],[f1,f2,f12,f43,f45,f3,f62,f243,f247,f248,f25,f249,f22,f20,f19,f250,f16,f8,f7,f251,f4,f32,f31,f28,f27,f24,f21,f18,f9,f6,f33,f30,f252,f29,f5,f17,f23,f35,f14,f13,f11,f10,f15,f265,f59,f433,f436,f443,f432,f26]) ).

fof(f509,plain,
    ( sk_c6 = multiply(sk_c7,sk_c2)
    | ~ spl0_2
    | spl0_6 ),
    inference(global_subsumption,[],[f1,f2,f12,f43,f45,f3,f62,f243,f247,f248,f249,f19,f250,f16,f8,f7,f251,f4,f32,f31,f28,f27,f24,f21,f18,f9,f6,f33,f30,f252,f29,f5,f17,f35,f14,f13,f11,f10,f15,f265,f59,f433,f436,f443,f432,f26,f505,f25,f506,f23,f507,f22,f508,f20]) ).

fof(f508,plain,
    ( sk_c2 = multiply(sk_c1,sk_c7)
    | ~ spl0_2
    | spl0_6 ),
    inference(global_subsumption,[],[f1,f2,f12,f43,f45,f3,f62,f243,f247,f248,f249,f20,f19,f250,f16,f8,f7,f251,f4,f32,f31,f28,f27,f24,f21,f18,f9,f6,f33,f30,f252,f29,f5,f17,f35,f14,f13,f11,f10,f15,f265,f59,f433,f436,f443,f432,f26,f505,f25,f506,f23,f507,f22]) ).

fof(f507,plain,
    ( sk_c2 = multiply(sk_c1,sk_c7)
    | ~ spl0_2
    | spl0_6 ),
    inference(global_subsumption,[],[f1,f2,f12,f43,f45,f3,f62,f243,f247,f248,f249,f22,f20,f19,f250,f16,f8,f7,f251,f4,f32,f31,f28,f27,f24,f21,f18,f9,f6,f33,f30,f252,f29,f5,f17,f35,f14,f13,f11,f10,f15,f265,f59,f433,f436,f443,f432,f26,f505,f25,f506,f23]) ).

fof(f506,plain,
    ( sk_c2 = multiply(sk_c1,sk_c7)
    | ~ spl0_2
    | spl0_6 ),
    inference(global_subsumption,[],[f1,f2,f12,f43,f45,f3,f62,f243,f247,f248,f249,f22,f20,f19,f250,f16,f8,f7,f251,f4,f32,f31,f28,f27,f24,f21,f18,f9,f6,f33,f30,f252,f29,f5,f17,f23,f35,f14,f13,f11,f10,f15,f265,f59,f433,f436,f443,f432,f26,f505,f25]) ).

fof(f628,plain,
    ( sk_c6 = sk_c2
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f622,f1]) ).

fof(f622,plain,
    ( sk_c2 = multiply(identity,sk_c6)
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f539,f619]) ).

fof(f619,plain,
    ( identity = sk_c5
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f618,f2]) ).

fof(f618,plain,
    ( sk_c5 = multiply(inverse(sk_c6),sk_c6)
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f540,f549]) ).

fof(f540,plain,
    ( sk_c5 = multiply(inverse(sk_c6),sk_c7)
    | ~ spl0_2
    | spl0_6 ),
    inference(superposition,[],[f59,f513]) ).

fof(f513,plain,
    ( multiply(sk_c6,sk_c5) = sk_c7
    | ~ spl0_2
    | spl0_6 ),
    inference(global_subsumption,[],[f1,f2,f12,f43,f45,f3,f62,f243,f247,f248,f249,f250,f7,f251,f4,f32,f31,f28,f27,f24,f21,f18,f9,f6,f33,f30,f252,f29,f5,f35,f14,f13,f11,f10,f15,f265,f59,f433,f436,f443,f432,f26,f505,f25,f506,f23,f507,f22,f508,f20,f509,f19,f510,f17,f511,f16,f512,f8]) ).

fof(f512,plain,
    ( sk_c6 = multiply(sk_c7,sk_c2)
    | ~ spl0_2
    | spl0_6 ),
    inference(global_subsumption,[],[f1,f2,f12,f43,f45,f3,f62,f243,f247,f248,f249,f250,f8,f7,f251,f4,f32,f31,f28,f27,f24,f21,f18,f9,f6,f33,f30,f252,f29,f5,f35,f14,f13,f11,f10,f15,f265,f59,f433,f436,f443,f432,f26,f505,f25,f506,f23,f507,f22,f508,f20,f509,f19,f510,f17,f511,f16]) ).

fof(f511,plain,
    ( sk_c6 = multiply(sk_c7,sk_c2)
    | ~ spl0_2
    | spl0_6 ),
    inference(global_subsumption,[],[f1,f2,f12,f43,f45,f3,f62,f243,f247,f248,f249,f250,f16,f8,f7,f251,f4,f32,f31,f28,f27,f24,f21,f18,f9,f6,f33,f30,f252,f29,f5,f35,f14,f13,f11,f10,f15,f265,f59,f433,f436,f443,f432,f26,f505,f25,f506,f23,f507,f22,f508,f20,f509,f19,f510,f17]) ).

fof(f510,plain,
    ( sk_c6 = multiply(sk_c7,sk_c2)
    | ~ spl0_2
    | spl0_6 ),
    inference(global_subsumption,[],[f1,f2,f12,f43,f45,f3,f62,f243,f247,f248,f249,f250,f16,f8,f7,f251,f4,f32,f31,f28,f27,f24,f21,f18,f9,f6,f33,f30,f252,f29,f5,f17,f35,f14,f13,f11,f10,f15,f265,f59,f433,f436,f443,f432,f26,f505,f25,f506,f23,f507,f22,f508,f20,f509,f19]) ).

fof(f539,plain,
    ( sk_c2 = multiply(sk_c5,sk_c6)
    | ~ spl0_2
    | spl0_6 ),
    inference(forward_demodulation,[],[f537,f43]) ).

fof(f537,plain,
    ( sk_c2 = multiply(inverse(sk_c7),sk_c6)
    | ~ spl0_2
    | spl0_6 ),
    inference(superposition,[],[f59,f509]) ).

fof(f497,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_6 ),
    inference(avatar_contradiction_clause,[],[f496]) ).

fof(f496,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_6 ),
    inference(subsumption_resolution,[],[f495,f265]) ).

fof(f495,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | spl0_2 ),
    inference(forward_demodulation,[],[f494,f2]) ).

fof(f494,plain,
    ( sk_c6 = multiply(inverse(sk_c6),sk_c6)
    | ~ spl0_1
    | spl0_2 ),
    inference(forward_demodulation,[],[f452,f316]) ).

fof(f452,plain,
    ( sk_c7 = multiply(inverse(sk_c7),sk_c6)
    | ~ spl0_1
    | spl0_2 ),
    inference(superposition,[],[f59,f281]) ).

fof(f485,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_6 ),
    inference(avatar_contradiction_clause,[],[f484]) ).

fof(f484,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_6 ),
    inference(subsumption_resolution,[],[f483,f265]) ).

fof(f483,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | spl0_2 ),
    inference(forward_demodulation,[],[f447,f2]) ).

fof(f447,plain,
    ( sk_c6 = multiply(inverse(sk_c6),sk_c6)
    | ~ spl0_1
    | spl0_2 ),
    inference(superposition,[],[f59,f330]) ).

fof(f330,plain,
    ( sk_c6 = multiply(sk_c6,sk_c6)
    | ~ spl0_1
    | spl0_2 ),
    inference(forward_demodulation,[],[f318,f316]) ).

fof(f318,plain,
    ( sk_c6 = multiply(sk_c7,sk_c6)
    | ~ spl0_1
    | spl0_2 ),
    inference(superposition,[],[f256,f313]) ).

fof(f267,plain,
    ( spl0_5
    | spl0_6
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f252,f41,f264,f260]) ).

fof(f242,plain,
    ( spl0_3
    | spl0_4
    | spl0_4
    | spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f202,f41,f37,f240,f240,f237]) ).

fof(f44,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f12,f41,f37]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : GRP361-1 : TPTP v8.1.2. Released v2.5.0.
% 0.08/0.10  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.29  % Computer : n032.cluster.edu
% 0.10/0.29  % Model    : x86_64 x86_64
% 0.10/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29  % Memory   : 8042.1875MB
% 0.10/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29  % CPULimit   : 300
% 0.10/0.29  % WCLimit    : 300
% 0.10/0.29  % DateTime   : Fri May  3 20:39:22 EDT 2024
% 0.10/0.29  % CPUTime    : 
% 0.10/0.29  % (28233)Running in auto input_syntax mode. Trying TPTP
% 0.10/0.30  % (28237)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.10/0.30  % (28238)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)
% 0.10/0.30  TRYING [1]
% 0.10/0.30  TRYING [2]
% 0.10/0.31  % (28236)WARNING: value z3 for option sas not known
% 0.10/0.31  % (28235)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.10/0.31  TRYING [3]
% 0.10/0.31  % (28239)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)
% 0.10/0.31  % (28236)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)
% 0.10/0.31  % (28234)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.10/0.31  % (28240)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)
% 0.10/0.31  TRYING [4]
% 0.10/0.31  TRYING [1]
% 0.14/0.31  TRYING [2]
% 0.14/0.32  TRYING [3]
% 0.14/0.32  TRYING [5]
% 0.14/0.34  TRYING [4]
% 0.14/0.34  TRYING [6]
% 0.14/0.34  % (28236)First to succeed.
% 0.14/0.35  % (28236)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-28233"
% 0.14/0.35  % (28236)Refutation found. Thanks to Tanya!
% 0.14/0.35  % SZS status Unsatisfiable for theBenchmark
% 0.14/0.35  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.35  % (28236)------------------------------
% 0.14/0.35  % (28236)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.35  % (28236)Termination reason: Refutation
% 0.14/0.35  
% 0.14/0.35  % (28236)Memory used [KB]: 1351
% 0.14/0.35  % (28236)Time elapsed: 0.041 s
% 0.14/0.35  % (28236)Instructions burned: 106 (million)
% 0.14/0.35  % (28233)Success in time 0.06 s
%------------------------------------------------------------------------------