%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GRP216-1 : TPTP v8.2.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon May 20 21:16:13 EDT 2024

% Result   : Unsatisfiable 0.20s 0.45s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   34
%            Number of leaves      :   40
% Syntax   : Number of formulae    :  879 (  12 unt;   0 def)
%            Number of atoms       : 3572 ( 696 equ)
%            Maximal formula atoms :   10 (   4 avg)
%            Number of connectives : 4659 (1966   ~;2681   |;   0   &)
%                                         (  12 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   5 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :   14 (  12 usr;  13 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :  181 ( 181   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1719,plain,
    $false,
    inference(avatar_sat_refutation,[],[f38,f99,f203,f205,f208,f225,f227,f230,f267,f369,f389,f475,f501,f613,f616,f622,f635,f721,f723,f751,f770,f772,f774,f776,f778,f780,f782,f978,f983,f1035,f1194,f1196,f1200,f1203,f1218,f1220,f1224,f1227,f1267,f1271,f1276,f1280,f1355,f1357,f1359,f1361,f1363,f1365,f1367,f1369,f1371,f1373,f1375,f1377,f1379,f1381,f1383,f1385,f1387,f1389,f1391,f1393,f1395,f1397,f1399,f1401,f1403,f1405,f1407,f1409,f1411,f1413,f1415,f1417,f1419,f1421,f1423,f1425,f1427,f1429,f1431,f1433,f1435,f1437,f1439,f1441,f1443,f1445,f1447,f1449,f1451,f1453,f1455,f1457,f1459,f1461,f1463,f1465,f1467,f1469,f1471,f1473,f1475,f1477,f1479,f1481,f1483,f1485,f1487,f1489,f1491,f1493,f1495,f1499,f1503,f1506,f1510,f1513,f1519,f1521,f1523,f1525,f1527,f1530,f1532,f1534,f1536,f1538,f1540,f1542,f1544,f1546,f1548,f1550,f1552,f1554,f1556,f1558,f1560,f1562,f1564,f1566,f1568,f1570,f1572,f1574,f1576,f1578,f1580,f1582,f1584,f1586,f1588,f1590,f1592,f1594,f1596,f1598,f1600,f1602,f1604,f1606,f1608,f1610,f1612,f1614,f1616,f1618,f1620,f1622,f1624,f1626,f1628,f1630,f1632,f1634,f1636,f1638,f1640,f1642,f1644,f1646,f1648,f1650,f1652,f1654,f1656,f1658,f1660,f1662,f1664,f1666,f1668,f1670,f1672,f1674,f1676,f1678,f1680,f1682,f1684,f1686,f1688,f1690,f1692,f1694,f1696,f1698,f1700,f1702,f1704,f1706,f1708,f1710,f1712,f1714,f1716,f1718]) ).

fof(f1718,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1717]) ).

fof(f1717,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10
    | spl0_12 ),
    inference(global_subsumption,[],[f500,f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f387,f37,f4,f29,f16,f6,f7,f22,f18,f5,f17,f13,f12,f11,f101,f83,f126,f140,f154,f153,f105,f40,f32]) ).

fof(f32,plain,
    ( sk_c7 != inverse(sk_c1)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f31]) ).

fof(f31,plain,
    ( spl0_1
  <=> sk_c7 = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f40,plain,
    ( sk_c7 = inverse(sk_c3)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f11,f32]) ).

fof(f105,plain,
    ( identity = sk_c7
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f103,f39]) ).

fof(f103,plain,
    ( sk_c7 = multiply(sk_c6,sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f59,f100]) ).

fof(f153,plain,
    ( identity = sk_c3
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f145,f1]) ).

fof(f145,plain,
    ( sk_c3 = multiply(identity,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f63,f140]) ).

fof(f154,plain,
    ( identity = sk_c5
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f146,f1]) ).

fof(f146,plain,
    ( sk_c5 = multiply(identity,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f64,f140]) ).

fof(f140,plain,
    ( identity = sk_c6
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f123,f1]) ).

fof(f123,plain,
    ( sk_c6 = multiply(identity,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f77,f105]) ).

fof(f126,plain,
    ( identity = inverse(identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f125,f105]) ).

fof(f125,plain,
    ( sk_c7 = inverse(identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f114,f101]) ).

fof(f114,plain,
    ( sk_c6 = inverse(identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f37,f105]) ).

fof(f83,plain,
    ( sk_c7 = sk_c5
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f81,f64]) ).

fof(f101,plain,
    ( sk_c7 = sk_c6
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f100,f77]) ).

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

fof(f12,axiom,
    ( sk_c7 = inverse(sk_c1)
    | sk_c7 = multiply(sk_c3,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).

fof(f13,axiom,
    ( sk_c7 = inverse(sk_c1)
    | sk_c6 = multiply(sk_c7,sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).

fof(f17,axiom,
    ( sk_c7 = inverse(sk_c3)
    | sk_c7 = multiply(sk_c2,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).

fof(f5,axiom,
    ( sk_c7 = inverse(sk_c3)
    | multiply(sk_c1,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).

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

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

fof(f7,axiom,
    ( sk_c6 = multiply(sk_c7,sk_c5)
    | multiply(sk_c1,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).

fof(f6,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | multiply(sk_c1,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).

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

fof(f29,plain,
    ! [X3,X7,X4,X5] :
      ( sk_c6 != inverse(sk_c7)
      | sk_c6 != inverse(X4)
      | sk_c7 != inverse(X7)
      | sk_c7 != inverse(X3)
      | sk_c7 != inverse(X5)
      | sk_c6 != multiply(X3,sk_c7)
      | sk_c6 != multiply(sk_c7,multiply(X7,sk_c7))
      | sk_c7 != multiply(X4,sk_c6)
      | sk_c7 != multiply(X5,sk_c6) ),
    inference(equality_resolution,[],[f28]) ).

fof(f28,axiom,
    ! [X3,X6,X7,X4,X5] :
      ( sk_c6 != inverse(sk_c7)
      | sk_c6 != inverse(X4)
      | sk_c7 != inverse(X7)
      | sk_c7 != inverse(X3)
      | sk_c7 != inverse(X5)
      | sk_c6 != multiply(X3,sk_c7)
      | sk_c6 != multiply(sk_c7,X6)
      | sk_c7 != multiply(X4,sk_c6)
      | sk_c7 != multiply(X5,sk_c6)
      | multiply(X7,sk_c7) != X6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).

fof(f4,axiom,
    ( sk_c6 = inverse(sk_c7)
    | multiply(sk_c1,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).

fof(f37,plain,
    ( sk_c6 = inverse(sk_c7)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f35]) ).

fof(f35,plain,
    ( spl0_2
  <=> sk_c6 = inverse(sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f387,plain,
    ( identity != sk_c6
    | spl0_10 ),
    inference(avatar_component_clause,[],[f386]) ).

fof(f386,plain,
    ( spl0_10
  <=> identity = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f1246,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
    inference(forward_demodulation,[],[f1238,f1]) ).

fof(f1238,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),multiply(identity,X1)),
    inference(superposition,[],[f3,f927]) ).

fof(f1237,plain,
    ! [X0] : identity = multiply(inverse(inverse(inverse(X0))),X0),
    inference(superposition,[],[f56,f927]) ).

fof(f927,plain,
    ! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[],[f56,f2]) ).

fof(f937,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
    inference(superposition,[],[f56,f56]) ).

fof(f929,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
    inference(superposition,[],[f56,f3]) ).

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

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

fof(f24,axiom,
    ( sk_c6 = inverse(sk_c2)
    | sk_c7 = multiply(sk_c3,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).

fof(f25,axiom,
    ( sk_c6 = inverse(sk_c2)
    | sk_c6 = multiply(sk_c7,sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).

fof(f26,axiom,
    ( sk_c6 = inverse(sk_c2)
    | sk_c5 = multiply(sk_c4,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).

fof(f8,axiom,
    ( sk_c5 = multiply(sk_c4,sk_c7)
    | multiply(sk_c1,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).

fof(f23,axiom,
    ( sk_c6 = inverse(sk_c2)
    | sk_c7 = inverse(sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).

fof(f15,axiom,
    ( sk_c7 = inverse(sk_c4)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).

fof(f27,axiom,
    ( sk_c6 = inverse(sk_c2)
    | sk_c7 = inverse(sk_c4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).

fof(f9,axiom,
    ( sk_c7 = inverse(sk_c4)
    | multiply(sk_c1,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).

fof(f14,axiom,
    ( sk_c7 = inverse(sk_c1)
    | sk_c5 = multiply(sk_c4,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).

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

fof(f19,axiom,
    ( sk_c6 = multiply(sk_c7,sk_c5)
    | sk_c7 = multiply(sk_c2,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).

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

fof(f166,plain,
    ( identity = inverse(identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f160,f105]) ).

fof(f160,plain,
    ( sk_c7 = inverse(identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f40,f153]) ).

fof(f150,plain,
    ( identity = multiply(sk_c3,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f143,f105]) ).

fof(f143,plain,
    ( sk_c7 = multiply(sk_c3,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f44,f140]) ).

fof(f139,plain,
    ( identity = multiply(sk_c3,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f138,f105]) ).

fof(f138,plain,
    ( sk_c7 = multiply(sk_c3,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f122,f83]) ).

fof(f122,plain,
    ( sk_c5 = multiply(sk_c3,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f72,f105]) ).

fof(f121,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c3,X0)) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f60,f105]) ).

fof(f134,plain,
    ( identity = multiply(sk_c3,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f133,f105]) ).

fof(f133,plain,
    ( sk_c7 = multiply(sk_c3,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f132,f83]) ).

fof(f132,plain,
    ( sk_c5 = multiply(sk_c3,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f119,f71]) ).

fof(f119,plain,
    ( sk_c5 = multiply(sk_c4,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f46,f105]) ).

fof(f129,plain,
    ( identity = multiply(identity,sk_c3)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f117,f71]) ).

fof(f117,plain,
    ( identity = multiply(identity,sk_c4)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f43,f105]) ).

fof(f116,plain,
    ( identity = multiply(identity,sk_c3)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f41,f105]) ).

fof(f109,plain,
    ( sk_c3 = multiply(sk_c7,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f63,f101]) ).

fof(f108,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c7,X0)) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f59,f101]) ).

fof(f107,plain,
    ( sk_c7 = multiply(sk_c3,sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f44,f101]) ).

fof(f106,plain,
    ( identity = multiply(sk_c7,sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f39,f101]) ).

fof(f104,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c7,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f100]) ).

fof(f102,plain,
    ( sk_c7 = sk_c6
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f77,f100]) ).

fof(f100,plain,
    ( sk_c7 = multiply(sk_c7,sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f76,f83]) ).

fof(f62,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c6 != inverse(X4)
        | sk_c7 != inverse(X7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X5)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c6 != multiply(sk_c7,multiply(X7,sk_c7))
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f29,f37]) ).

fof(f85,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c6,multiply(sk_c6,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f81]) ).

fof(f84,plain,
    ( sk_c7 = sk_c5
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f64,f81]) ).

fof(f81,plain,
    ( sk_c7 = multiply(sk_c6,sk_c6)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f59,f77]) ).

fof(f82,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c7,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f77]) ).

fof(f77,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | spl0_1 ),
    inference(superposition,[],[f60,f44]) ).

fof(f78,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c3,X0)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f59,f60]) ).

fof(f76,plain,
    ( sk_c7 = multiply(sk_c7,sk_c5)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f60,f72]) ).

fof(f60,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f53,f1]) ).

fof(f53,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c3,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f41]) ).

fof(f75,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c3,multiply(sk_c7,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f72]) ).

fof(f72,plain,
    ( sk_c5 = multiply(sk_c3,sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f46,f71]) ).

fof(f71,plain,
    ( sk_c3 = sk_c4
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f65,f63]) ).

fof(f70,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,multiply(sk_c6,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f64]) ).

fof(f64,plain,
    ( sk_c5 = multiply(sk_c6,sk_c6)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f59,f45]) ).

fof(f69,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c3,X0)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f68,f1]) ).

fof(f68,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(sk_c6,multiply(identity,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f63]) ).

fof(f63,plain,
    ( sk_c3 = multiply(sk_c6,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f59,f41]) ).

fof(f65,plain,
    ( sk_c4 = multiply(sk_c6,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f59,f43]) ).

fof(f59,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f50,f1]) ).

fof(f50,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c7,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f39]) ).

fof(f61,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c4,X0)) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f55,f1]) ).

fof(f55,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c4,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f43]) ).

fof(f54,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c5,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f45]) ).

fof(f52,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c6,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f44]) ).

fof(f51,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c7,X0)) = multiply(sk_c5,X0)
    | spl0_1 ),
    inference(superposition,[],[f3,f46]) ).

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

fof(f46,plain,
    ( sk_c5 = multiply(sk_c4,sk_c7)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f14,f32]) ).

fof(f45,plain,
    ( sk_c6 = multiply(sk_c7,sk_c5)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f13,f32]) ).

fof(f44,plain,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f12,f32]) ).

fof(f43,plain,
    ( identity = multiply(sk_c7,sk_c4)
    | spl0_1 ),
    inference(superposition,[],[f2,f42]) ).

fof(f42,plain,
    ( sk_c7 = inverse(sk_c4)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f15,f32]) ).

fof(f41,plain,
    ( identity = multiply(sk_c7,sk_c3)
    | spl0_1 ),
    inference(superposition,[],[f2,f40]) ).

fof(f39,plain,
    ( identity = multiply(sk_c6,sk_c7)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f37]) ).

fof(f10,axiom,
    ( sk_c6 = inverse(sk_c7)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).

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

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

fof(f500,plain,
    ( sk_c7 != sk_c6
    | spl0_12 ),
    inference(avatar_component_clause,[],[f498]) ).

fof(f498,plain,
    ( spl0_12
  <=> sk_c7 = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f1716,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1715]) ).

fof(f1715,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f387,f37,f4,f29,f16,f6,f7,f22,f18,f5,f17,f13,f12,f11,f101,f83,f126,f140,f154,f153,f105,f40,f32]) ).

fof(f1714,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1713]) ).

fof(f1713,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f32,f387,f37,f4,f29,f16,f6,f7,f22,f18,f5,f17,f13,f12,f11,f101,f83,f126,f140,f154,f153,f105,f40]) ).

fof(f1712,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1711]) ).

fof(f1711,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f32,f40,f387,f37,f4,f29,f16,f6,f7,f22,f18,f5,f17,f13,f12,f11,f101,f83,f126,f140,f154,f153,f105]) ).

fof(f1710,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1709]) ).

fof(f1709,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f32,f40,f105,f387,f37,f4,f29,f16,f6,f7,f22,f18,f5,f17,f13,f12,f11,f101,f83,f126,f140,f154,f153]) ).

fof(f1708,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1707]) ).

fof(f1707,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f32,f40,f105,f153,f387,f37,f4,f29,f16,f6,f7,f22,f18,f5,f17,f13,f12,f11,f101,f83,f126,f140,f154]) ).

fof(f1706,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1705]) ).

fof(f1705,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f32,f40,f105,f153,f154,f387,f37,f4,f29,f16,f6,f7,f22,f18,f5,f17,f13,f12,f11,f101,f83,f126,f140]) ).

fof(f1704,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1703]) ).

fof(f1703,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f32,f40,f105,f153,f154,f140,f387,f37,f4,f29,f16,f6,f7,f22,f18,f5,f17,f13,f12,f11,f101,f83,f126]) ).

fof(f1702,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1701]) ).

fof(f1701,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f32,f40,f105,f153,f154,f140,f126,f387,f37,f4,f29,f16,f6,f7,f22,f18,f5,f17,f13,f12,f11,f101,f83]) ).

fof(f1700,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1699]) ).

fof(f1699,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f32,f40,f105,f153,f154,f140,f126,f83,f387,f37,f4,f29,f16,f6,f7,f22,f18,f5,f17,f13,f12,f11,f101]) ).

fof(f1698,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1697]) ).

fof(f1697,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1528,f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f32,f40,f105,f153,f154,f140,f126,f83,f101,f387,f37,f4,f29,f16,f6,f7,f22,f18,f5,f17,f13,f12,f11]) ).

fof(f1528,plain,
    ( identity = sk_c3
    | spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f71,f855]) ).

fof(f855,plain,
    ( identity = sk_c4
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(superposition,[],[f845,f476]) ).

fof(f476,plain,
    ( identity = multiply(sk_c7,sk_c4)
    | ~ spl0_9 ),
    inference(superposition,[],[f2,f384]) ).

fof(f384,plain,
    ( sk_c7 = inverse(sk_c4)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f382]) ).

fof(f382,plain,
    ( spl0_9
  <=> sk_c7 = inverse(sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f845,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f841,f1]) ).

fof(f841,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(identity,X0))
    | ~ spl0_11 ),
    inference(superposition,[],[f3,f832]) ).

fof(f832,plain,
    ( identity = multiply(sk_c7,identity)
    | ~ spl0_11 ),
    inference(superposition,[],[f2,f495]) ).

fof(f495,plain,
    ( sk_c7 = inverse(identity)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f494]) ).

fof(f494,plain,
    ( spl0_11
  <=> sk_c7 = inverse(identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f1696,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1695]) ).

fof(f1695,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_10 ),
    inference(global_subsumption,[],[f95,f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f32,f40,f105,f153,f154,f140,f126,f83,f101,f387,f37,f4,f29,f16,f6,f7,f22,f18,f5,f17,f13,f12,f11]) ).

fof(f95,plain,
    ( ! [X7] :
        ( sk_c7 != inverse(X7)
        | sk_c6 != multiply(sk_c7,multiply(X7,sk_c7)) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f94]) ).

fof(f94,plain,
    ( spl0_5
  <=> ! [X7] :
        ( sk_c7 != inverse(X7)
        | sk_c6 != multiply(sk_c7,multiply(X7,sk_c7)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f1694,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1693]) ).

fof(f1693,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f32,f40,f105,f153,f154,f140,f126,f83,f101,f387,f37,f4,f29,f16,f6,f7,f22,f18,f5,f17,f13,f12,f11]) ).

fof(f1692,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1691]) ).

fof(f1691,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f32,f40,f105,f153,f154,f140,f126,f83,f101,f11,f387,f37,f4,f29,f16,f6,f7,f22,f18,f5,f17,f13,f12]) ).

fof(f1690,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1689]) ).

fof(f1689,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f32,f40,f105,f153,f154,f140,f126,f83,f101,f11,f12,f387,f37,f4,f29,f16,f6,f7,f22,f18,f5,f17,f13]) ).

fof(f1688,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1687]) ).

fof(f1687,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1517,f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f32,f40,f105,f153,f154,f140,f126,f83,f101,f11,f12,f13,f387,f37,f4,f29,f16,f6,f7,f22,f18,f5,f17]) ).

fof(f1517,plain,
    ( sk_c7 = sk_c5
    | sk_c7 = inverse(sk_c1)
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1516,f1]) ).

fof(f1516,plain,
    ( sk_c5 = multiply(identity,sk_c7)
    | sk_c7 = inverse(sk_c1)
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f14,f855]) ).

fof(f1686,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1685]) ).

fof(f1685,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1511,f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f32,f40,f105,f153,f154,f140,f126,f83,f101,f11,f12,f13,f387,f37,f4,f29,f16,f6,f7,f22,f18,f5,f17]) ).

fof(f1511,plain,
    ( identity = multiply(inverse(sk_c7),identity)
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1236,f855]) ).

fof(f1236,plain,
    ( sk_c4 = multiply(inverse(sk_c7),identity)
    | ~ spl0_9 ),
    inference(superposition,[],[f927,f384]) ).

fof(f1684,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1683]) ).

fof(f1683,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1508,f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f32,f40,f105,f153,f154,f140,f126,f83,f101,f11,f12,f13,f387,f37,f4,f29,f16,f6,f7,f22,f18,f5,f17]) ).

fof(f1508,plain,
    ( ! [X0] : multiply(inverse(sk_c7),X0) = X0
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1507,f1]) ).

fof(f1507,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(sk_c7),X0)
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f934,f855]) ).

fof(f934,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c7),X0)
    | ~ spl0_9 ),
    inference(superposition,[],[f56,f482]) ).

fof(f482,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c4,X0)) = X0
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f479,f1]) ).

fof(f479,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c4,X0))
    | ~ spl0_9 ),
    inference(superposition,[],[f3,f476]) ).

fof(f1682,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1681]) ).

fof(f1681,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1504,f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f32,f40,f105,f153,f154,f140,f126,f83,f101,f11,f12,f13,f387,f37,f4,f29,f16,f6,f7,f22,f18,f5,f17]) ).

fof(f1504,plain,
    ( identity = multiply(inverse(sk_c7),identity)
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f947,f855]) ).

fof(f947,plain,
    ( sk_c4 = multiply(inverse(sk_c7),identity)
    | ~ spl0_9 ),
    inference(superposition,[],[f56,f476]) ).

fof(f1680,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1679]) ).

fof(f1679,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1501,f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f32,f40,f105,f153,f154,f140,f126,f83,f101,f11,f12,f13,f387,f37,f4,f29,f16,f6,f7,f22,f18,f5,f17]) ).

fof(f1501,plain,
    ( sk_c7 = sk_c5
    | multiply(sk_c1,sk_c7) = sk_c6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1500,f1]) ).

fof(f1500,plain,
    ( sk_c5 = multiply(identity,sk_c7)
    | multiply(sk_c1,sk_c7) = sk_c6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f8,f855]) ).

fof(f1678,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1677]) ).

fof(f1677,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1497,f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f32,f40,f105,f153,f154,f140,f126,f83,f101,f11,f12,f13,f387,f37,f4,f29,f16,f6,f7,f22,f18,f5,f17]) ).

fof(f1497,plain,
    ( sk_c7 = sk_c5
    | sk_c7 = multiply(sk_c2,sk_c6)
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1496,f1]) ).

fof(f1496,plain,
    ( sk_c5 = multiply(identity,sk_c7)
    | sk_c7 = multiply(sk_c2,sk_c6)
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f20,f855]) ).

fof(f1676,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1675]) ).

fof(f1675,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f32,f40,f105,f153,f154,f140,f126,f83,f101,f11,f12,f13,f387,f37,f4,f29,f16,f6,f7,f22,f18,f5,f17]) ).

fof(f1674,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1673]) ).

fof(f1673,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f32,f40,f105,f153,f154,f140,f126,f83,f101,f11,f12,f13,f17,f387,f37,f4,f29,f16,f6,f7,f22,f18,f5]) ).

fof(f1672,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1671]) ).

fof(f1671,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_10 ),
    inference(global_subsumption,[],[f266,f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f32,f40,f105,f153,f154,f140,f126,f83,f101,f11,f12,f13,f17,f5,f387,f37,f4,f29,f16,f6,f7,f22,f18]) ).

fof(f266,plain,
    ( sk_c6 = inverse(sk_c2)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f264]) ).

fof(f264,plain,
    ( spl0_8
  <=> sk_c6 = inverse(sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f1670,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1669]) ).

fof(f1669,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1056,f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f32,f40,f105,f153,f154,f140,f126,f83,f101,f11,f12,f13,f17,f5,f387,f37,f4,f29,f16,f6,f7,f22,f18]) ).

fof(f1056,plain,
    ( sk_c6 = sk_c5
    | sk_c7 = multiply(sk_c2,sk_c6)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f19,f845]) ).

fof(f1668,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1667]) ).

fof(f1667,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f32,f40,f105,f153,f154,f140,f126,f83,f101,f11,f12,f13,f17,f5,f387,f37,f4,f29,f16,f6,f7,f22,f18]) ).

fof(f1666,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1665]) ).

fof(f1665,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_10 ),
    inference(global_subsumption,[],[f785,f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f32,f40,f105,f153,f154,f140,f126,f83,f101,f11,f12,f13,f17,f5,f18,f387,f37,f4,f29,f16,f6,f7,f22]) ).

fof(f785,plain,
    ( sk_c6 = inverse(sk_c2)
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f22,f29,f1,f2,f10,f3,f56,f20,f19,f18,f21,f17,f14,f13,f12,f9,f5,f27,f15,f11,f23,f266,f268,f8,f7,f6,f16,f4,f272,f26,f783,f25,f784,f24]) ).

fof(f784,plain,
    ( sk_c6 = inverse(sk_c2)
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f22,f29,f1,f2,f10,f3,f56,f20,f19,f18,f21,f17,f14,f13,f12,f9,f5,f27,f15,f11,f23,f266,f268,f8,f7,f6,f16,f4,f272,f24,f26,f783,f25]) ).

fof(f783,plain,
    ( sk_c6 = inverse(sk_c2)
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f22,f29,f1,f2,f10,f3,f56,f20,f19,f18,f21,f17,f14,f13,f12,f9,f5,f27,f15,f11,f23,f266,f268,f8,f7,f6,f16,f4,f272,f24,f25,f26]) ).

fof(f272,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c2,X0)) = X0
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f271,f1]) ).

fof(f271,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c2,X0))
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f268]) ).

fof(f268,plain,
    ( identity = multiply(sk_c6,sk_c2)
    | ~ spl0_8 ),
    inference(superposition,[],[f2,f266]) ).

fof(f1664,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1663]) ).

fof(f1663,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_10 ),
    inference(global_subsumption,[],[f784,f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f32,f40,f105,f153,f154,f140,f126,f83,f101,f11,f12,f13,f17,f5,f18,f387,f37,f4,f29,f16,f6,f7,f22]) ).

fof(f1662,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1661]) ).

fof(f1661,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_10 ),
    inference(global_subsumption,[],[f783,f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f32,f40,f105,f153,f154,f140,f126,f83,f101,f11,f12,f13,f17,f5,f18,f387,f37,f4,f29,f16,f6,f7,f22]) ).

fof(f1660,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1659]) ).

fof(f1659,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f32,f40,f105,f153,f154,f140,f126,f83,f101,f11,f12,f13,f17,f5,f18,f387,f37,f4,f29,f16,f6,f7,f22]) ).

fof(f1658,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1657]) ).

fof(f1657,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f32,f40,f105,f153,f154,f140,f126,f83,f101,f11,f12,f13,f17,f5,f18,f22,f387,f37,f4,f29,f16,f6,f7]) ).

fof(f1656,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1655]) ).

fof(f1655,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f32,f40,f105,f153,f154,f140,f126,f83,f101,f11,f12,f13,f17,f5,f18,f22,f7,f387,f37,f4,f29,f16,f6]) ).

fof(f1654,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1653]) ).

fof(f1653,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f32,f40,f105,f153,f154,f140,f126,f83,f101,f11,f12,f13,f17,f5,f18,f22,f7,f6,f387,f37,f4,f29,f16]) ).

fof(f1652,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1651]) ).

fof(f1651,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f32,f40,f105,f153,f154,f140,f126,f83,f101,f11,f12,f13,f17,f5,f18,f22,f7,f6,f16,f387,f37,f4,f29]) ).

fof(f1650,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1649]) ).

fof(f1649,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f32,f40,f105,f153,f154,f140,f126,f83,f101,f11,f12,f13,f17,f5,f18,f22,f7,f6,f16,f29,f387,f37,f4]) ).

fof(f1648,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1647]) ).

fof(f1647,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f32,f40,f105,f153,f154,f140,f126,f83,f101,f11,f12,f13,f17,f5,f18,f22,f7,f6,f16,f29,f4,f387,f37]) ).

fof(f1646,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1645]) ).

fof(f1645,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f32,f40,f105,f153,f154,f140,f126,f83,f101,f11,f12,f13,f17,f5,f18,f22,f7,f6,f16,f29,f4,f37,f387]) ).

fof(f1644,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1643]) ).

fof(f1643,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f854,f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f32,f40,f105,f153,f154,f140,f126,f83,f101,f11,f12,f13,f17,f5,f18,f22,f7,f6,f16,f29,f4,f37,f387]) ).

fof(f854,plain,
    ( identity = sk_c3
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(superposition,[],[f845,f374]) ).

fof(f374,plain,
    ( identity = multiply(sk_c7,sk_c3)
    | ~ spl0_7 ),
    inference(superposition,[],[f2,f262]) ).

fof(f262,plain,
    ( sk_c7 = inverse(sk_c3)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f260]) ).

fof(f260,plain,
    ( spl0_7
  <=> sk_c7 = inverse(sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f1642,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1641]) ).

fof(f1641,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_10 ),
    inference(global_subsumption,[],[f262,f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f32,f40,f105,f153,f154,f140,f126,f83,f101,f11,f12,f13,f17,f5,f18,f22,f7,f6,f16,f29,f4,f37,f387]) ).

fof(f1640,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1639]) ).

fof(f1639,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f262,f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f760,f763,f766,f26,f25,f24,f786,f56,f929,f937,f1055,f1060,f1061,f1066,f1069,f1071,f1073,f1079,f1081,f927,f1237,f1246,f32,f40,f105,f153,f154,f140,f126,f83,f101,f11,f12,f13,f17,f5,f18,f22,f7,f6,f16,f29,f4,f37,f1085,f499,f726,f387]) ).

fof(f726,plain,
    ( identity != sk_c7
    | spl0_10
    | ~ spl0_12 ),
    inference(superposition,[],[f387,f499]) ).

fof(f499,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f498]) ).

fof(f1085,plain,
    ( sk_c7 = inverse(sk_c7)
    | ~ spl0_2
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f37,f499]) ).

fof(f1081,plain,
    ( sk_c7 = multiply(sk_c1,sk_c7)
    | sk_c7 = inverse(sk_c7)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1080,f499]) ).

fof(f1080,plain,
    ( sk_c7 = inverse(sk_c7)
    | multiply(sk_c1,sk_c7) = sk_c6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f4,f499]) ).

fof(f1079,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != multiply(X5,sk_c7)
        | sk_c7 != multiply(X4,sk_c7)
        | sk_c7 != multiply(sk_c7,multiply(X7,sk_c7))
        | sk_c7 != multiply(X3,sk_c7)
        | sk_c7 != inverse(X4)
        | sk_c7 != inverse(sk_c7)
        | sk_c7 != inverse(X7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X5) )
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1078,f499]) ).

fof(f1078,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != multiply(X4,sk_c7)
        | sk_c7 != multiply(sk_c7,multiply(X7,sk_c7))
        | sk_c7 != multiply(X3,sk_c7)
        | sk_c7 != inverse(X4)
        | sk_c7 != inverse(sk_c7)
        | sk_c7 != inverse(X7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X5)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1077,f499]) ).

fof(f1077,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != multiply(sk_c7,multiply(X7,sk_c7))
        | sk_c7 != multiply(X3,sk_c7)
        | sk_c7 != inverse(X4)
        | sk_c7 != inverse(sk_c7)
        | sk_c7 != inverse(X7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X5)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1076,f499]) ).

fof(f1076,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != multiply(X3,sk_c7)
        | sk_c7 != inverse(X4)
        | sk_c7 != inverse(sk_c7)
        | sk_c7 != inverse(X7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X5)
        | sk_c6 != multiply(sk_c7,multiply(X7,sk_c7))
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1075,f499]) ).

fof(f1075,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != inverse(X4)
        | sk_c7 != inverse(sk_c7)
        | sk_c7 != inverse(X7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X5)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c6 != multiply(sk_c7,multiply(X7,sk_c7))
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1074,f499]) ).

fof(f1074,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != inverse(sk_c7)
        | sk_c6 != inverse(X4)
        | sk_c7 != inverse(X7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X5)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c6 != multiply(sk_c7,multiply(X7,sk_c7))
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f29,f499]) ).

fof(f1073,plain,
    ( sk_c7 = multiply(sk_c2,sk_c7)
    | sk_c7 = inverse(sk_c7)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1072,f499]) ).

fof(f1072,plain,
    ( sk_c7 = inverse(sk_c7)
    | sk_c7 = multiply(sk_c2,sk_c6)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f16,f499]) ).

fof(f1071,plain,
    ( sk_c7 = multiply(sk_c1,sk_c7)
    | sk_c7 = multiply(sk_c3,sk_c7)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1070,f499]) ).

fof(f1070,plain,
    ( sk_c7 = multiply(sk_c3,sk_c7)
    | multiply(sk_c1,sk_c7) = sk_c6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f6,f499]) ).

fof(f1069,plain,
    ( sk_c7 = multiply(sk_c1,sk_c7)
    | sk_c7 = multiply(sk_c7,sk_c5)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1068,f499]) ).

fof(f1068,plain,
    ( sk_c7 = multiply(sk_c7,sk_c5)
    | multiply(sk_c1,sk_c7) = sk_c6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f7,f499]) ).

fof(f1066,plain,
    ( sk_c7 = inverse(sk_c7)
    | sk_c7 = inverse(sk_c2)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1065,f499]) ).

fof(f1065,plain,
    ( sk_c7 = inverse(sk_c2)
    | sk_c6 = inverse(sk_c7)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f22,f499]) ).

fof(f1061,plain,
    ( sk_c7 = multiply(sk_c1,sk_c7)
    | sk_c5 = multiply(sk_c4,sk_c7)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f8,f499]) ).

fof(f1060,plain,
    ( sk_c7 = multiply(sk_c2,sk_c7)
    | sk_c7 = multiply(sk_c3,sk_c7)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1059,f499]) ).

fof(f1059,plain,
    ( sk_c7 = multiply(sk_c3,sk_c7)
    | sk_c7 = multiply(sk_c2,sk_c6)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f18,f499]) ).

fof(f1055,plain,
    ( sk_c7 = multiply(sk_c2,sk_c7)
    | sk_c5 = multiply(sk_c4,sk_c7)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f20,f499]) ).

fof(f786,plain,
    ( identity != sk_c7
    | spl0_10
    | ~ spl0_12 ),
    inference(superposition,[],[f387,f499]) ).

fof(f766,plain,
    ( sk_c7 = multiply(sk_c3,sk_c7)
    | sk_c7 = inverse(sk_c2)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f765,f499]) ).

fof(f765,plain,
    ( sk_c7 = inverse(sk_c2)
    | sk_c7 = multiply(sk_c3,sk_c6)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f24,f499]) ).

fof(f763,plain,
    ( sk_c7 = multiply(sk_c7,sk_c5)
    | sk_c7 = inverse(sk_c2)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f762,f499]) ).

fof(f762,plain,
    ( sk_c7 = inverse(sk_c2)
    | sk_c6 = multiply(sk_c7,sk_c5)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f25,f499]) ).

fof(f760,plain,
    ( sk_c7 = inverse(sk_c2)
    | sk_c5 = multiply(sk_c4,sk_c7)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f26,f499]) ).

fof(f1638,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1637]) ).

fof(f1637,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f854,f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f760,f763,f766,f26,f25,f24,f786,f56,f929,f937,f1055,f1060,f1061,f1066,f1069,f1071,f1073,f1079,f1081,f927,f1237,f1246,f32,f40,f105,f153,f154,f140,f126,f83,f101,f11,f12,f13,f17,f5,f18,f22,f7,f6,f16,f29,f4,f37,f1085,f499,f726,f387]) ).

fof(f1636,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1635]) ).

fof(f1635,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f760,f763,f766,f26,f25,f24,f786,f56,f929,f937,f1055,f1060,f1061,f1066,f1069,f1071,f1073,f1079,f1081,f927,f1237,f1246,f32,f40,f105,f153,f154,f140,f126,f83,f101,f11,f12,f13,f17,f5,f18,f22,f7,f6,f16,f29,f4,f37,f1085,f499,f726,f387]) ).

fof(f1634,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1633]) ).

fof(f1633,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f760,f763,f766,f26,f25,f24,f786,f56,f929,f937,f1055,f1060,f1061,f1066,f1069,f1071,f1073,f1079,f1081,f927,f1237,f1246,f387,f32,f40,f105,f153,f154,f140,f126,f83,f101,f11,f12,f13,f17,f5,f18,f22,f7,f6,f16,f29,f4,f37,f1085,f499,f726]) ).

fof(f1632,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1631]) ).

fof(f1631,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f760,f763,f766,f26,f25,f24,f786,f56,f929,f937,f1055,f1060,f1061,f1066,f1069,f1071,f1073,f1079,f1081,f927,f1237,f1246,f387,f726,f32,f40,f105,f153,f154,f140,f126,f83,f101,f11,f12,f13,f17,f5,f18,f22,f7,f6,f16,f29,f4,f37,f1085,f499]) ).

fof(f1630,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1629]) ).

fof(f1629,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1062,f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f760,f763,f766,f26,f25,f24,f786,f56,f929,f937,f1055,f1060,f1061,f1066,f1069,f1071,f1073,f1079,f1081,f927,f1237,f1246,f387,f726,f499,f32,f40,f105,f153,f154,f140,f126,f83,f101,f11,f12,f13,f17,f5,f18,f22,f7,f6,f16,f29,f4,f37,f1085]) ).

fof(f1062,plain,
    ( sk_c7 = inverse(sk_c2)
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f785,f499]) ).

fof(f1628,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1627]) ).

fof(f1627,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1063,f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f760,f763,f766,f26,f25,f24,f786,f56,f929,f937,f1055,f1060,f1061,f1066,f1069,f1071,f1073,f1079,f1081,f927,f1237,f1246,f387,f726,f499,f32,f40,f105,f153,f154,f140,f126,f83,f101,f11,f12,f13,f17,f5,f18,f22,f7,f6,f16,f29,f4,f37,f1085]) ).

fof(f1063,plain,
    ( sk_c7 = inverse(sk_c2)
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f784,f499]) ).

fof(f1626,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1625]) ).

fof(f1625,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1064,f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f760,f763,f766,f26,f25,f24,f786,f56,f929,f937,f1055,f1060,f1061,f1066,f1069,f1071,f1073,f1079,f1081,f927,f1237,f1246,f387,f726,f499,f32,f40,f105,f153,f154,f140,f126,f83,f101,f11,f12,f13,f17,f5,f18,f22,f7,f6,f16,f29,f4,f37,f1085]) ).

fof(f1064,plain,
    ( sk_c7 = inverse(sk_c2)
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f783,f499]) ).

fof(f1624,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1623]) ).

fof(f1623,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1067,f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f760,f763,f766,f26,f25,f24,f786,f56,f929,f937,f1055,f1060,f1061,f1066,f1069,f1071,f1073,f1079,f1081,f927,f1237,f1246,f387,f726,f499,f32,f40,f105,f153,f154,f140,f126,f83,f101,f11,f12,f13,f17,f5,f18,f22,f7,f6,f16,f29,f4,f37,f1085]) ).

fof(f1067,plain,
    ( sk_c7 = inverse(sk_c2)
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f22,f29,f1,f2,f10,f3,f20,f19,f18,f21,f17,f14,f13,f12,f9,f5,f27,f15,f11,f23,f268,f8,f7,f6,f16,f4,f272,f724,f725,f760,f763,f766,f26,f783,f25,f784,f24,f785,f266,f499,f56,f927,f929,f937,f1055,f1060,f1061,f810,f1062,f1063,f1064,f1066]) ).

fof(f810,plain,
    ( sk_c7 = inverse(sk_c2)
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f266,f499]) ).

fof(f725,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c2,X0)) = X0
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(superposition,[],[f272,f499]) ).

fof(f724,plain,
    ( identity = multiply(sk_c7,sk_c2)
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(superposition,[],[f268,f499]) ).

fof(f1622,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1621]) ).

fof(f1621,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f810,f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f760,f763,f766,f26,f25,f24,f786,f56,f929,f937,f1055,f1060,f1061,f1066,f1069,f1071,f1073,f1079,f1081,f927,f1237,f1246,f387,f726,f499,f32,f40,f105,f153,f154,f140,f126,f83,f101,f11,f12,f13,f17,f5,f18,f22,f7,f6,f16,f29,f4,f37,f1085]) ).

fof(f1620,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1619]) ).

fof(f1619,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f760,f763,f766,f26,f25,f24,f786,f56,f929,f937,f1055,f1060,f1061,f1066,f1069,f1071,f1073,f1079,f1081,f927,f1237,f1246,f387,f726,f499,f32,f40,f105,f153,f154,f140,f126,f83,f101,f11,f12,f13,f17,f5,f18,f22,f7,f6,f16,f29,f4,f37,f1085]) ).

fof(f1618,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1617]) ).

fof(f1617,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f760,f763,f766,f26,f25,f24,f786,f56,f929,f937,f1055,f1060,f1061,f1066,f1069,f1071,f1073,f1079,f1081,f927,f1237,f1246,f387,f726,f499,f1085,f32,f40,f105,f153,f154,f140,f126,f83,f101,f11,f12,f13,f17,f5,f18,f22,f7,f6,f16,f29,f4,f37]) ).

fof(f1616,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1615]) ).

fof(f1615,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f760,f763,f766,f26,f25,f24,f786,f56,f929,f937,f1055,f1060,f1061,f1066,f1069,f1071,f1073,f1079,f1081,f927,f1237,f1246,f387,f726,f499,f1085,f37,f32,f40,f105,f153,f154,f140,f126,f83,f101,f11,f12,f13,f17,f5,f18,f22,f7,f6,f16,f29,f4]) ).

fof(f1614,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1613]) ).

fof(f1613,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f760,f763,f766,f26,f25,f24,f786,f56,f929,f937,f1055,f1060,f1061,f1066,f1069,f1071,f1073,f1079,f1081,f927,f1237,f1246,f387,f726,f499,f1085,f37,f4,f32,f40,f105,f153,f154,f140,f126,f83,f101,f11,f12,f13,f17,f5,f18,f22,f7,f6,f16,f29]) ).

fof(f1612,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1611]) ).

fof(f1611,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f760,f763,f766,f26,f25,f24,f786,f56,f929,f937,f1055,f1060,f1061,f1066,f1069,f1071,f1073,f1079,f1081,f927,f1237,f1246,f387,f726,f499,f1085,f37,f4,f29,f32,f40,f105,f153,f154,f140,f126,f83,f101,f11,f12,f13,f17,f5,f18,f22,f7,f6,f16]) ).

fof(f1610,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1609]) ).

fof(f1609,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f760,f763,f766,f26,f25,f24,f786,f56,f929,f937,f1055,f1060,f1061,f1066,f1069,f1071,f1073,f1079,f1081,f927,f1237,f1246,f387,f726,f499,f1085,f37,f4,f29,f16,f32,f40,f105,f153,f154,f140,f126,f83,f101,f11,f12,f13,f17,f5,f18,f22,f7,f6]) ).

fof(f1608,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1607]) ).

fof(f1607,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f760,f763,f766,f26,f25,f24,f786,f56,f929,f937,f1055,f1060,f1061,f1066,f1069,f1071,f1073,f1079,f1081,f927,f1237,f1246,f387,f726,f499,f1085,f37,f4,f29,f16,f6,f32,f40,f105,f153,f154,f140,f126,f83,f101,f11,f12,f13,f17,f5,f18,f22,f7]) ).

fof(f1606,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1605]) ).

fof(f1605,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f760,f763,f766,f26,f25,f24,f786,f56,f929,f937,f1055,f1060,f1061,f1066,f1069,f1071,f1073,f1079,f1081,f927,f1237,f1246,f387,f726,f499,f1085,f37,f4,f29,f16,f6,f7,f32,f40,f105,f153,f154,f140,f126,f83,f101,f11,f12,f13,f17,f5,f18,f22]) ).

fof(f1604,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1603]) ).

fof(f1603,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f783,f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f760,f763,f766,f26,f25,f24,f786,f56,f929,f937,f1055,f1060,f1061,f1066,f1069,f1071,f1073,f1079,f1081,f927,f1237,f1246,f387,f726,f499,f1085,f37,f4,f29,f16,f6,f7,f22,f32,f40,f105,f153,f154,f140,f126,f83,f101,f11,f12,f13,f17,f5,f18]) ).

fof(f1602,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1601]) ).

fof(f1601,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f784,f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f760,f763,f766,f26,f25,f24,f786,f56,f929,f937,f1055,f1060,f1061,f1066,f1069,f1071,f1073,f1079,f1081,f927,f1237,f1246,f387,f726,f499,f1085,f37,f4,f29,f16,f6,f7,f22,f32,f40,f105,f153,f154,f140,f126,f83,f101,f11,f12,f13,f17,f5,f18]) ).

fof(f1600,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1599]) ).

fof(f1599,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f785,f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f760,f763,f766,f26,f25,f24,f786,f56,f929,f937,f1055,f1060,f1061,f1066,f1069,f1071,f1073,f1079,f1081,f927,f1237,f1246,f387,f726,f499,f1085,f37,f4,f29,f16,f6,f7,f22,f32,f40,f105,f153,f154,f140,f126,f83,f101,f11,f12,f13,f17,f5,f18]) ).

fof(f1598,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1597]) ).

fof(f1597,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f760,f763,f766,f26,f25,f24,f786,f56,f929,f937,f1055,f1060,f1061,f1066,f1069,f1071,f1073,f1079,f1081,f927,f1237,f1246,f387,f726,f499,f1085,f37,f4,f29,f16,f6,f7,f22,f32,f40,f105,f153,f154,f140,f126,f83,f101,f11,f12,f13,f17,f5,f18]) ).

fof(f1596,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1595]) ).

fof(f1595,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1056,f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f760,f763,f766,f26,f25,f24,f786,f56,f929,f937,f1055,f1060,f1061,f1066,f1069,f1071,f1073,f1079,f1081,f927,f1237,f1246,f387,f726,f499,f1085,f37,f4,f29,f16,f6,f7,f22,f18,f32,f40,f105,f153,f154,f140,f126,f83,f101,f11,f12,f13,f17,f5]) ).

fof(f1594,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1593]) ).

fof(f1593,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f266,f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f760,f763,f766,f26,f25,f24,f786,f56,f929,f937,f1055,f1060,f1061,f1066,f1069,f1071,f1073,f1079,f1081,f927,f1237,f1246,f387,f726,f499,f1085,f37,f4,f29,f16,f6,f7,f22,f18,f32,f40,f105,f153,f154,f140,f126,f83,f101,f11,f12,f13,f17,f5]) ).

fof(f1592,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1591]) ).

fof(f1591,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f760,f763,f766,f26,f25,f24,f786,f56,f929,f937,f1055,f1060,f1061,f1066,f1069,f1071,f1073,f1079,f1081,f927,f1237,f1246,f387,f726,f499,f1085,f37,f4,f29,f16,f6,f7,f22,f18,f32,f40,f105,f153,f154,f140,f126,f83,f101,f11,f12,f13,f17,f5]) ).

fof(f1590,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1589]) ).

fof(f1589,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f760,f763,f766,f26,f25,f24,f786,f56,f929,f937,f1055,f1060,f1061,f1066,f1069,f1071,f1073,f1079,f1081,f927,f1237,f1246,f387,f726,f499,f1085,f37,f4,f29,f16,f6,f7,f22,f18,f5,f32,f40,f105,f153,f154,f140,f126,f83,f101,f11,f12,f13,f17]) ).

fof(f1588,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1587]) ).

fof(f1587,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1497,f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f760,f763,f766,f26,f25,f24,f786,f56,f929,f937,f1055,f1060,f1061,f1066,f1069,f1071,f1073,f1079,f1081,f927,f1237,f1246,f387,f726,f499,f1085,f37,f4,f29,f16,f6,f7,f22,f18,f5,f17,f32,f40,f105,f153,f154,f140,f126,f83,f101,f11,f12,f13]) ).

fof(f1586,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1585]) ).

fof(f1585,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1501,f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f760,f763,f766,f26,f25,f24,f786,f56,f929,f937,f1055,f1060,f1061,f1066,f1069,f1071,f1073,f1079,f1081,f927,f1237,f1246,f387,f726,f499,f1085,f37,f4,f29,f16,f6,f7,f22,f18,f5,f17,f32,f40,f105,f153,f154,f140,f126,f83,f101,f11,f12,f13]) ).

fof(f1584,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1583]) ).

fof(f1583,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1504,f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f760,f763,f766,f26,f25,f24,f786,f56,f929,f937,f1055,f1060,f1061,f1066,f1069,f1071,f1073,f1079,f1081,f927,f1237,f1246,f387,f726,f499,f1085,f37,f4,f29,f16,f6,f7,f22,f18,f5,f17,f32,f40,f105,f153,f154,f140,f126,f83,f101,f11,f12,f13]) ).

fof(f1582,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1581]) ).

fof(f1581,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1508,f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f760,f763,f766,f26,f25,f24,f786,f56,f929,f937,f1055,f1060,f1061,f1066,f1069,f1071,f1073,f1079,f1081,f927,f1237,f1246,f387,f726,f499,f1085,f37,f4,f29,f16,f6,f7,f22,f18,f5,f17,f32,f40,f105,f153,f154,f140,f126,f83,f101,f11,f12,f13]) ).

fof(f1580,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1579]) ).

fof(f1579,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1511,f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f760,f763,f766,f26,f25,f24,f786,f56,f929,f937,f1055,f1060,f1061,f1066,f1069,f1071,f1073,f1079,f1081,f927,f1237,f1246,f387,f726,f499,f1085,f37,f4,f29,f16,f6,f7,f22,f18,f5,f17,f32,f40,f105,f153,f154,f140,f126,f83,f101,f11,f12,f13]) ).

fof(f1578,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1577]) ).

fof(f1577,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1517,f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f760,f763,f766,f26,f25,f24,f786,f56,f929,f937,f1055,f1060,f1061,f1066,f1069,f1071,f1073,f1079,f1081,f927,f1237,f1246,f387,f726,f499,f1085,f37,f4,f29,f16,f6,f7,f22,f18,f5,f17,f32,f40,f105,f153,f154,f140,f126,f83,f101,f11,f12,f13]) ).

fof(f1576,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1575]) ).

fof(f1575,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f760,f763,f766,f26,f25,f24,f786,f56,f929,f937,f1055,f1060,f1061,f1066,f1069,f1071,f1073,f1079,f1081,f927,f1237,f1246,f387,f726,f499,f1085,f37,f4,f29,f16,f6,f7,f22,f18,f5,f17,f32,f40,f105,f153,f154,f140,f126,f83,f101,f11,f12,f13]) ).

fof(f1574,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1573]) ).

fof(f1573,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f760,f763,f766,f26,f25,f24,f786,f56,f929,f937,f1055,f1060,f1061,f1066,f1069,f1071,f1073,f1079,f1081,f927,f1237,f1246,f387,f726,f499,f1085,f37,f4,f29,f16,f6,f7,f22,f18,f5,f17,f13,f32,f40,f105,f153,f154,f140,f126,f83,f101,f11,f12]) ).

fof(f1572,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1571]) ).

fof(f1571,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f760,f763,f766,f26,f25,f24,f786,f56,f929,f937,f1055,f1060,f1061,f1066,f1069,f1071,f1073,f1079,f1081,f927,f1237,f1246,f387,f726,f499,f1085,f37,f4,f29,f16,f6,f7,f22,f18,f5,f17,f13,f12,f32,f40,f105,f153,f154,f140,f126,f83,f101,f11]) ).

fof(f1570,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1569]) ).

fof(f1569,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f95,f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f760,f763,f766,f26,f25,f24,f786,f56,f929,f937,f1055,f1060,f1061,f1066,f1069,f1071,f1073,f1079,f1081,f927,f1237,f1246,f387,f726,f499,f1085,f37,f4,f29,f16,f6,f7,f22,f18,f5,f17,f13,f12,f11,f32,f40,f105,f153,f154,f140,f126,f83,f101]) ).

fof(f1568,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1567]) ).

fof(f1567,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1528,f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f760,f763,f766,f26,f25,f24,f786,f56,f929,f937,f1055,f1060,f1061,f1066,f1069,f1071,f1073,f1079,f1081,f927,f1237,f1246,f387,f726,f499,f1085,f37,f4,f29,f16,f6,f7,f22,f18,f5,f17,f13,f12,f11,f32,f40,f105,f153,f154,f140,f126,f83,f101]) ).

fof(f1566,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1565]) ).

fof(f1565,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f760,f763,f766,f26,f25,f24,f786,f56,f929,f937,f1055,f1060,f1061,f1066,f1069,f1071,f1073,f1079,f1081,f927,f1237,f1246,f387,f726,f499,f1085,f37,f4,f29,f16,f6,f7,f22,f18,f5,f17,f13,f12,f11,f32,f40,f105,f153,f154,f140,f126,f83,f101]) ).

fof(f1564,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1563]) ).

fof(f1563,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f760,f763,f766,f26,f25,f24,f786,f56,f929,f937,f1055,f1060,f1061,f1066,f1069,f1071,f1073,f1079,f1081,f927,f1237,f1246,f387,f726,f499,f1085,f37,f4,f29,f16,f6,f7,f22,f18,f5,f17,f13,f12,f11,f101,f32,f40,f105,f153,f154,f140,f126,f83]) ).

fof(f1562,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1561]) ).

fof(f1561,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f760,f763,f766,f26,f25,f24,f786,f56,f929,f937,f1055,f1060,f1061,f1066,f1069,f1071,f1073,f1079,f1081,f927,f1237,f1246,f387,f726,f499,f1085,f37,f4,f29,f16,f6,f7,f22,f18,f5,f17,f13,f12,f11,f101,f83,f32,f40,f105,f153,f154,f140,f126]) ).

fof(f1560,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1559]) ).

fof(f1559,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f760,f763,f766,f26,f25,f24,f786,f56,f929,f937,f1055,f1060,f1061,f1066,f1069,f1071,f1073,f1079,f1081,f927,f1237,f1246,f387,f726,f499,f1085,f37,f4,f29,f16,f6,f7,f22,f18,f5,f17,f13,f12,f11,f101,f83,f126,f32,f40,f105,f153,f154,f140]) ).

fof(f1558,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1557]) ).

fof(f1557,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f760,f763,f766,f26,f25,f24,f786,f56,f929,f937,f1055,f1060,f1061,f1066,f1069,f1071,f1073,f1079,f1081,f927,f1237,f1246,f387,f726,f499,f1085,f37,f4,f29,f16,f6,f7,f22,f18,f5,f17,f13,f12,f11,f101,f83,f126,f140,f32,f40,f105,f153,f154]) ).

fof(f1556,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1555]) ).

fof(f1555,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f760,f763,f766,f26,f25,f24,f786,f56,f929,f937,f1055,f1060,f1061,f1066,f1069,f1071,f1073,f1079,f1081,f927,f1237,f1246,f387,f726,f499,f1085,f37,f4,f29,f16,f6,f7,f22,f18,f5,f17,f13,f12,f11,f101,f83,f126,f140,f154,f32,f40,f105,f153]) ).

fof(f1554,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1553]) ).

fof(f1553,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f760,f763,f766,f26,f25,f24,f786,f56,f929,f937,f1055,f1060,f1061,f1066,f1069,f1071,f1073,f1079,f1081,f927,f1237,f1246,f387,f726,f499,f1085,f37,f4,f29,f16,f6,f7,f22,f18,f5,f17,f13,f12,f11,f101,f83,f126,f140,f154,f153,f32,f40,f105]) ).

fof(f1552,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1551]) ).

fof(f1551,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f760,f763,f766,f26,f25,f24,f786,f56,f929,f937,f1055,f1060,f1061,f1066,f1069,f1071,f1073,f1079,f1081,f927,f1237,f1246,f387,f726,f499,f1085,f37,f4,f29,f16,f6,f7,f22,f18,f5,f17,f13,f12,f11,f101,f83,f126,f140,f154,f153,f105,f32,f40]) ).

fof(f1550,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1549]) ).

fof(f1549,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f10,f39,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f59,f65,f63,f69,f64,f70,f71,f72,f75,f60,f76,f78,f77,f82,f81,f84,f85,f62,f100,f102,f104,f106,f107,f108,f109,f116,f129,f134,f121,f139,f150,f166,f20,f19,f21,f14,f9,f27,f15,f23,f8,f760,f763,f766,f26,f25,f24,f786,f56,f929,f937,f1055,f1060,f1061,f1066,f1069,f1071,f1073,f1079,f1081,f927,f1237,f1246,f387,f726,f499,f1085,f37,f4,f29,f16,f6,f7,f22,f18,f5,f17,f13,f12,f11,f101,f83,f126,f140,f154,f153,f105,f40,f32]) ).

fof(f1548,plain,
    ( spl0_1
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1547]) ).

fof(f1547,plain,
    ( $false
    | spl0_1
    | spl0_7 ),
    inference(global_subsumption,[],[f1,f2,f10,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f60,f77,f82,f20,f19,f21,f14,f9,f27,f15,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f261,f4,f29,f16,f6,f7,f22,f18,f5,f17,f13,f12,f11,f40,f32]) ).

fof(f261,plain,
    ( sk_c7 != inverse(sk_c3)
    | spl0_7 ),
    inference(avatar_component_clause,[],[f260]) ).

fof(f1546,plain,
    ( spl0_1
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1545]) ).

fof(f1545,plain,
    ( $false
    | spl0_1
    | spl0_7 ),
    inference(global_subsumption,[],[f1,f2,f10,f32,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f60,f77,f82,f20,f19,f21,f14,f9,f27,f15,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f261,f4,f29,f16,f6,f7,f22,f18,f5,f17,f13,f12,f11,f40]) ).

fof(f1544,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1543]) ).

fof(f1543,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(global_subsumption,[],[f105,f1,f2,f10,f32,f40,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f60,f77,f82,f20,f19,f21,f14,f9,f27,f15,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f261,f4,f29,f16,f6,f7,f22,f18,f5,f17,f13,f12,f11]) ).

fof(f1542,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1541]) ).

fof(f1541,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(global_subsumption,[],[f153,f1,f2,f10,f32,f40,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f60,f77,f82,f20,f19,f21,f14,f9,f27,f15,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f261,f4,f29,f16,f6,f7,f22,f18,f5,f17,f13,f12,f11]) ).

fof(f1540,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1539]) ).

fof(f1539,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(global_subsumption,[],[f154,f1,f2,f10,f32,f40,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f60,f77,f82,f20,f19,f21,f14,f9,f27,f15,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f261,f4,f29,f16,f6,f7,f22,f18,f5,f17,f13,f12,f11]) ).

fof(f1538,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1537]) ).

fof(f1537,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(global_subsumption,[],[f140,f1,f2,f10,f32,f40,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f60,f77,f82,f20,f19,f21,f14,f9,f27,f15,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f261,f4,f29,f16,f6,f7,f22,f18,f5,f17,f13,f12,f11]) ).

fof(f1536,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1535]) ).

fof(f1535,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(global_subsumption,[],[f126,f1,f2,f10,f32,f40,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f60,f77,f82,f20,f19,f21,f14,f9,f27,f15,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f261,f4,f29,f16,f6,f7,f22,f18,f5,f17,f13,f12,f11]) ).

fof(f1534,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1533]) ).

fof(f1533,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(global_subsumption,[],[f83,f1,f2,f10,f32,f40,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f60,f77,f82,f20,f19,f21,f14,f9,f27,f15,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f261,f4,f29,f16,f6,f7,f22,f18,f5,f17,f13,f12,f11]) ).

fof(f1532,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1531]) ).

fof(f1531,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(global_subsumption,[],[f101,f1,f2,f10,f32,f40,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f60,f77,f82,f20,f19,f21,f14,f9,f27,f15,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f261,f4,f29,f16,f6,f7,f22,f18,f5,f17,f13,f12,f11]) ).

fof(f1530,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_7
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1529]) ).

fof(f1529,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_7
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1528,f1,f2,f10,f32,f40,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f60,f77,f82,f20,f19,f21,f14,f9,f27,f15,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f261,f4,f29,f16,f6,f7,f22,f18,f5,f17,f13,f12,f11]) ).

fof(f1527,plain,
    ( spl0_1
    | ~ spl0_5
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1526]) ).

fof(f1526,plain,
    ( $false
    | spl0_1
    | ~ spl0_5
    | spl0_7 ),
    inference(global_subsumption,[],[f95,f1,f2,f10,f32,f40,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f60,f77,f82,f20,f19,f21,f14,f9,f27,f15,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f261,f4,f29,f16,f6,f7,f22,f18,f5,f17,f13,f12,f11]) ).

fof(f1525,plain,
    ( spl0_1
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1524]) ).

fof(f1524,plain,
    ( $false
    | spl0_1
    | spl0_7 ),
    inference(global_subsumption,[],[f1,f2,f10,f32,f40,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f60,f77,f82,f20,f19,f21,f14,f9,f27,f15,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f261,f4,f29,f16,f6,f7,f22,f18,f5,f17,f13,f12,f11]) ).

fof(f1523,plain,
    ( spl0_1
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1522]) ).

fof(f1522,plain,
    ( $false
    | spl0_1
    | spl0_7 ),
    inference(global_subsumption,[],[f1,f2,f10,f32,f40,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f60,f77,f82,f20,f19,f21,f14,f9,f27,f15,f11,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f261,f4,f29,f16,f6,f7,f22,f18,f5,f17,f13,f12]) ).

fof(f1521,plain,
    ( spl0_1
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1520]) ).

fof(f1520,plain,
    ( $false
    | spl0_1
    | spl0_7 ),
    inference(global_subsumption,[],[f1,f2,f10,f32,f40,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f60,f77,f82,f20,f19,f21,f14,f12,f9,f27,f15,f11,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f261,f4,f29,f16,f6,f7,f22,f18,f5,f17,f13]) ).

fof(f1519,plain,
    ( spl0_1
    | spl0_7
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1518]) ).

fof(f1518,plain,
    ( $false
    | spl0_1
    | spl0_7
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1517,f1,f2,f10,f32,f40,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f60,f77,f82,f20,f19,f21,f14,f13,f12,f9,f27,f15,f11,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f261,f4,f29,f16,f6,f7,f22,f18,f5,f17]) ).

fof(f1513,plain,
    ( spl0_1
    | spl0_7
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1512]) ).

fof(f1512,plain,
    ( $false
    | spl0_1
    | spl0_7
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1511,f1,f2,f10,f32,f40,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f60,f77,f82,f20,f19,f21,f14,f13,f12,f9,f27,f15,f11,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f261,f4,f29,f16,f6,f7,f22,f18,f5,f17]) ).

fof(f1510,plain,
    ( spl0_1
    | spl0_7
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1509]) ).

fof(f1509,plain,
    ( $false
    | spl0_1
    | spl0_7
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1508,f1,f2,f10,f32,f40,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f60,f77,f82,f20,f19,f21,f14,f13,f12,f9,f27,f15,f11,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f261,f4,f29,f16,f6,f7,f22,f18,f5,f17]) ).

fof(f1506,plain,
    ( spl0_1
    | spl0_7
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1505]) ).

fof(f1505,plain,
    ( $false
    | spl0_1
    | spl0_7
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1504,f1,f2,f10,f32,f40,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f60,f77,f82,f20,f19,f21,f14,f13,f12,f9,f27,f15,f11,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f261,f4,f29,f16,f6,f7,f22,f18,f5,f17]) ).

fof(f1503,plain,
    ( spl0_1
    | spl0_7
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1502]) ).

fof(f1502,plain,
    ( $false
    | spl0_1
    | spl0_7
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1501,f1,f2,f10,f32,f40,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f60,f77,f82,f20,f19,f21,f14,f13,f12,f9,f27,f15,f11,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f261,f4,f29,f16,f6,f7,f22,f18,f5,f17]) ).

fof(f1499,plain,
    ( spl0_1
    | spl0_7
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1498]) ).

fof(f1498,plain,
    ( $false
    | spl0_1
    | spl0_7
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1497,f1,f2,f10,f32,f40,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f60,f77,f82,f20,f19,f21,f14,f13,f12,f9,f27,f15,f11,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f261,f4,f29,f16,f6,f7,f22,f18,f5,f17]) ).

fof(f1495,plain,
    ( spl0_1
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1494]) ).

fof(f1494,plain,
    ( $false
    | spl0_1
    | spl0_7 ),
    inference(global_subsumption,[],[f1,f2,f10,f32,f40,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f60,f77,f82,f20,f19,f21,f14,f13,f12,f9,f27,f15,f11,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f261,f4,f29,f16,f6,f7,f22,f18,f5,f17]) ).

fof(f1493,plain,
    ( spl0_1
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1492]) ).

fof(f1492,plain,
    ( $false
    | spl0_1
    | spl0_7 ),
    inference(global_subsumption,[],[f1,f2,f10,f32,f40,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f60,f77,f82,f20,f19,f21,f14,f13,f12,f9,f27,f15,f11,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f17,f261,f4,f29,f16,f6,f7,f22,f18,f5]) ).

fof(f1491,plain,
    ( spl0_1
    | spl0_7
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1490]) ).

fof(f1490,plain,
    ( $false
    | spl0_1
    | spl0_7
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f266,f1,f2,f10,f32,f40,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f60,f77,f82,f20,f19,f21,f14,f13,f12,f9,f27,f15,f11,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f17,f5,f261,f4,f29,f16,f6,f7,f22,f18]) ).

fof(f1489,plain,
    ( spl0_1
    | spl0_7
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1488]) ).

fof(f1488,plain,
    ( $false
    | spl0_1
    | spl0_7
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1056,f1,f2,f10,f32,f40,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f60,f77,f82,f20,f19,f21,f14,f13,f12,f9,f27,f15,f11,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f17,f5,f261,f4,f29,f16,f6,f7,f22,f18]) ).

fof(f1487,plain,
    ( spl0_1
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1486]) ).

fof(f1486,plain,
    ( $false
    | spl0_1
    | spl0_7 ),
    inference(global_subsumption,[],[f1,f2,f10,f32,f40,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f60,f77,f82,f20,f19,f21,f14,f13,f12,f9,f27,f15,f11,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f17,f5,f261,f4,f29,f16,f6,f7,f22,f18]) ).

fof(f1485,plain,
    ( spl0_1
    | spl0_7
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1484]) ).

fof(f1484,plain,
    ( $false
    | spl0_1
    | spl0_7
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f785,f1,f2,f10,f32,f40,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f60,f77,f82,f20,f19,f21,f14,f13,f12,f9,f27,f15,f11,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f17,f5,f18,f261,f4,f29,f16,f6,f7,f22]) ).

fof(f1483,plain,
    ( spl0_1
    | spl0_7
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1482]) ).

fof(f1482,plain,
    ( $false
    | spl0_1
    | spl0_7
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f784,f1,f2,f10,f32,f40,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f60,f77,f82,f20,f19,f21,f14,f13,f12,f9,f27,f15,f11,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f17,f5,f18,f261,f4,f29,f16,f6,f7,f22]) ).

fof(f1481,plain,
    ( spl0_1
    | spl0_7
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1480]) ).

fof(f1480,plain,
    ( $false
    | spl0_1
    | spl0_7
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f783,f1,f2,f10,f32,f40,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f60,f77,f82,f20,f19,f21,f14,f13,f12,f9,f27,f15,f11,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f17,f5,f18,f261,f4,f29,f16,f6,f7,f22]) ).

fof(f1479,plain,
    ( spl0_1
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1478]) ).

fof(f1478,plain,
    ( $false
    | spl0_1
    | spl0_7 ),
    inference(global_subsumption,[],[f1,f2,f10,f32,f40,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f60,f77,f82,f20,f19,f21,f14,f13,f12,f9,f27,f15,f11,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f17,f5,f18,f261,f4,f29,f16,f6,f7,f22]) ).

fof(f1477,plain,
    ( spl0_1
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1476]) ).

fof(f1476,plain,
    ( $false
    | spl0_1
    | spl0_7 ),
    inference(global_subsumption,[],[f1,f2,f10,f32,f40,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f60,f77,f82,f20,f19,f21,f14,f13,f12,f9,f27,f15,f11,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f17,f5,f18,f22,f261,f4,f29,f16,f6,f7]) ).

fof(f1475,plain,
    ( spl0_1
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1474]) ).

fof(f1474,plain,
    ( $false
    | spl0_1
    | spl0_7 ),
    inference(global_subsumption,[],[f1,f2,f10,f32,f40,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f60,f77,f82,f20,f19,f21,f14,f13,f12,f9,f27,f15,f11,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f17,f5,f18,f22,f7,f261,f4,f29,f16,f6]) ).

fof(f1473,plain,
    ( spl0_1
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1472]) ).

fof(f1472,plain,
    ( $false
    | spl0_1
    | spl0_7 ),
    inference(global_subsumption,[],[f1,f2,f10,f32,f40,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f60,f77,f82,f20,f19,f21,f14,f13,f12,f9,f27,f15,f11,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f17,f5,f18,f22,f7,f6,f261,f4,f29,f16]) ).

fof(f1471,plain,
    ( spl0_1
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1470]) ).

fof(f1470,plain,
    ( $false
    | spl0_1
    | spl0_7 ),
    inference(global_subsumption,[],[f1,f2,f10,f32,f40,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f60,f77,f82,f20,f19,f21,f14,f13,f12,f9,f27,f15,f11,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f17,f5,f18,f22,f7,f6,f16,f261,f4,f29]) ).

fof(f1469,plain,
    ( spl0_1
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1468]) ).

fof(f1468,plain,
    ( $false
    | spl0_1
    | spl0_7 ),
    inference(global_subsumption,[],[f1,f2,f10,f32,f40,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f60,f77,f82,f20,f19,f21,f14,f13,f12,f9,f27,f15,f11,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f17,f5,f18,f22,f7,f6,f16,f29,f261,f4]) ).

fof(f1467,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1466]) ).

fof(f1466,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(global_subsumption,[],[f37,f1,f2,f10,f32,f40,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f60,f77,f82,f20,f19,f21,f14,f13,f12,f9,f27,f15,f11,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f17,f5,f18,f22,f7,f6,f16,f29,f4,f261]) ).

fof(f1465,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_7
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1464]) ).

fof(f1464,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_7
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1085,f1,f2,f10,f32,f40,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f60,f77,f82,f20,f19,f21,f14,f13,f12,f9,f27,f15,f11,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f17,f5,f18,f22,f7,f6,f16,f29,f4,f261]) ).

fof(f1463,plain,
    ( spl0_1
    | spl0_7
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1462]) ).

fof(f1462,plain,
    ( $false
    | spl0_1
    | spl0_7
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f810,f1,f2,f10,f32,f40,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f60,f77,f82,f20,f19,f21,f14,f13,f12,f9,f27,f15,f11,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f17,f5,f18,f22,f7,f6,f16,f29,f4,f261]) ).

fof(f1461,plain,
    ( spl0_1
    | spl0_7
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1460]) ).

fof(f1460,plain,
    ( $false
    | spl0_1
    | spl0_7
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1067,f1,f2,f10,f32,f40,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f60,f77,f82,f20,f19,f21,f14,f13,f12,f9,f27,f15,f11,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f17,f5,f18,f22,f7,f6,f16,f29,f4,f261]) ).

fof(f1459,plain,
    ( spl0_1
    | spl0_7
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1458]) ).

fof(f1458,plain,
    ( $false
    | spl0_1
    | spl0_7
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1064,f1,f2,f10,f32,f40,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f60,f77,f82,f20,f19,f21,f14,f13,f12,f9,f27,f15,f11,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f17,f5,f18,f22,f7,f6,f16,f29,f4,f261]) ).

fof(f1457,plain,
    ( spl0_1
    | spl0_7
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1456]) ).

fof(f1456,plain,
    ( $false
    | spl0_1
    | spl0_7
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1063,f1,f2,f10,f32,f40,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f60,f77,f82,f20,f19,f21,f14,f13,f12,f9,f27,f15,f11,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f17,f5,f18,f22,f7,f6,f16,f29,f4,f261]) ).

fof(f1455,plain,
    ( spl0_1
    | spl0_7
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1454]) ).

fof(f1454,plain,
    ( $false
    | spl0_1
    | spl0_7
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1062,f1,f2,f10,f32,f40,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f60,f77,f82,f20,f19,f21,f14,f13,f12,f9,f27,f15,f11,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f17,f5,f18,f22,f7,f6,f16,f29,f4,f261]) ).

fof(f1453,plain,
    ( spl0_1
    | spl0_7
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1452]) ).

fof(f1452,plain,
    ( $false
    | spl0_1
    | spl0_7
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f499,f1,f2,f10,f32,f40,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f60,f77,f82,f20,f19,f21,f14,f13,f12,f9,f27,f15,f11,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f17,f5,f18,f22,f7,f6,f16,f29,f4,f261]) ).

fof(f1451,plain,
    ( spl0_1
    | spl0_7
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1450]) ).

fof(f1450,plain,
    ( $false
    | spl0_1
    | spl0_7
    | spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f726,f1,f2,f10,f32,f40,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f60,f77,f82,f20,f19,f21,f14,f13,f12,f9,f27,f15,f11,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f17,f5,f18,f22,f7,f6,f16,f29,f4,f261]) ).

fof(f1449,plain,
    ( spl0_1
    | spl0_7
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1448]) ).

fof(f1448,plain,
    ( $false
    | spl0_1
    | spl0_7
    | spl0_10 ),
    inference(global_subsumption,[],[f387,f1,f2,f10,f32,f40,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f60,f77,f82,f20,f19,f21,f14,f13,f12,f9,f27,f15,f11,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f17,f5,f18,f22,f7,f6,f16,f29,f4,f261]) ).

fof(f1447,plain,
    ( spl0_1
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1446]) ).

fof(f1446,plain,
    ( $false
    | spl0_1
    | spl0_7 ),
    inference(global_subsumption,[],[f1,f2,f10,f32,f40,f41,f42,f43,f44,f45,f46,f3,f51,f52,f54,f61,f60,f77,f82,f20,f19,f21,f14,f13,f12,f9,f27,f15,f11,f23,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f17,f5,f18,f22,f7,f6,f16,f29,f4,f261]) ).

fof(f1445,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_7
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1444]) ).

fof(f1444,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_7
    | spl0_10 ),
    inference(global_subsumption,[],[f89,f1,f2,f10,f39,f3,f59,f62,f20,f19,f21,f14,f13,f12,f9,f27,f15,f11,f33,f231,f232,f236,f234,f237,f244,f245,f246,f240,f242,f252,f250,f241,f23,f285,f290,f293,f299,f296,f297,f292,f301,f284,f303,f305,f373,f372,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f17,f5,f18,f22,f7,f6,f16,f29,f4,f37,f938,f932,f1234,f387,f302,f289,f283,f261]) ).

fof(f283,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(forward_demodulation,[],[f282,f242]) ).

fof(f282,plain,
    ( multiply(sk_c1,sk_c7) = sk_c6
    | spl0_7 ),
    inference(subsumption_resolution,[],[f5,f261]) ).

fof(f289,plain,
    ( identity = sk_c1
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(forward_demodulation,[],[f286,f1]) ).

fof(f286,plain,
    ( sk_c1 = multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(superposition,[],[f232,f283]) ).

fof(f302,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(superposition,[],[f284,f1]) ).

fof(f1234,plain,
    ( sk_c1 = multiply(inverse(sk_c7),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f927,f33]) ).

fof(f932,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c7),X0)
    | ~ spl0_1 ),
    inference(superposition,[],[f56,f234]) ).

fof(f938,plain,
    ( sk_c1 = multiply(inverse(sk_c7),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f56,f231]) ).

fof(f372,plain,
    ( identity = sk_c6
    | sk_c7 = inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f9,f242]) ).

fof(f373,plain,
    ( identity = sk_c6
    | sk_c7 = inverse(sk_c3)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f5,f242]) ).

fof(f305,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c7,X0)) = X0
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(forward_demodulation,[],[f304,f1]) ).

fof(f304,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(identity,multiply(sk_c7,X0))
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(superposition,[],[f3,f284]) ).

fof(f303,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(superposition,[],[f1,f284]) ).

fof(f284,plain,
    ( identity = multiply(identity,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(superposition,[],[f39,f283]) ).

fof(f301,plain,
    ( identity = multiply(sk_c7,identity)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(superposition,[],[f2,f292]) ).

fof(f292,plain,
    ( sk_c7 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(superposition,[],[f33,f289]) ).

fof(f297,plain,
    ( identity = multiply(identity,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(superposition,[],[f242,f289]) ).

fof(f296,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c7,X0)) = X0
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(superposition,[],[f241,f289]) ).

fof(f299,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(forward_demodulation,[],[f294,f1]) ).

fof(f294,plain,
    ( ! [X0] : multiply(sk_c7,multiply(identity,X0)) = X0
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(superposition,[],[f234,f289]) ).

fof(f293,plain,
    ( identity = multiply(sk_c7,identity)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(superposition,[],[f231,f289]) ).

fof(f290,plain,
    ( ! [X0] : multiply(sk_c1,X0) = X0
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(forward_demodulation,[],[f287,f1]) ).

fof(f287,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c1,X0)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(superposition,[],[f237,f283]) ).

fof(f285,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c7,X0)) = X0
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(superposition,[],[f59,f283]) ).

fof(f241,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c7,X0)) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f237,f59]) ).

fof(f250,plain,
    ( sk_c7 = multiply(sk_c7,identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f234,f242]) ).

fof(f252,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c7,X0)) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f251,f1]) ).

fof(f251,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c1,multiply(sk_c7,X0))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f242]) ).

fof(f242,plain,
    ( identity = multiply(sk_c1,sk_c7)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f237,f39]) ).

fof(f240,plain,
    ( sk_c1 = multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f237,f232]) ).

fof(f246,plain,
    ( identity = multiply(sk_c1,sk_c7)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f39,f237]) ).

fof(f245,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c7,X0)) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f59,f237]) ).

fof(f244,plain,
    ( sk_c1 = multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f232,f237]) ).

fof(f237,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c1,X0)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f59,f234]) ).

fof(f234,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c1,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f233,f1]) ).

fof(f233,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c1,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f231]) ).

fof(f236,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c1,X0)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f235,f1]) ).

fof(f235,plain,
    ( ! [X0] : multiply(sk_c6,multiply(identity,X0)) = multiply(sk_c1,X0)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f232]) ).

fof(f232,plain,
    ( sk_c1 = multiply(sk_c6,identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f59,f231]) ).

fof(f231,plain,
    ( identity = multiply(sk_c7,sk_c1)
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f33]) ).

fof(f33,plain,
    ( sk_c7 = inverse(sk_c1)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f31]) ).

fof(f89,plain,
    ( ! [X5] :
        ( sk_c7 != inverse(X5)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f88]) ).

fof(f88,plain,
    ( spl0_3
  <=> ! [X5] :
        ( sk_c7 != inverse(X5)
        | sk_c7 != multiply(X5,sk_c6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f1443,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1442]) ).

fof(f1442,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f10,f39,f3,f59,f62,f20,f19,f21,f14,f13,f12,f9,f27,f15,f11,f33,f231,f232,f236,f234,f237,f244,f245,f246,f240,f242,f252,f250,f241,f23,f285,f290,f293,f299,f296,f297,f292,f301,f284,f303,f305,f373,f372,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f17,f5,f18,f22,f7,f6,f16,f29,f4,f37,f938,f932,f1234,f387,f302,f289,f283,f261]) ).

fof(f1441,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1440]) ).

fof(f1440,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f10,f39,f3,f59,f62,f20,f19,f21,f14,f13,f12,f9,f27,f15,f11,f33,f231,f232,f236,f234,f237,f244,f245,f246,f240,f242,f252,f250,f241,f23,f261,f285,f290,f293,f299,f296,f297,f292,f301,f284,f303,f305,f373,f372,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f17,f5,f18,f22,f7,f6,f16,f29,f4,f37,f938,f932,f1234,f387,f302,f289,f283]) ).

fof(f1439,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1438]) ).

fof(f1438,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f10,f39,f3,f59,f62,f20,f19,f21,f14,f13,f12,f9,f27,f15,f11,f33,f231,f232,f236,f234,f237,f244,f245,f246,f240,f242,f252,f250,f241,f23,f261,f283,f285,f290,f293,f299,f296,f297,f292,f301,f284,f303,f305,f373,f372,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f17,f5,f18,f22,f7,f6,f16,f29,f4,f37,f938,f932,f1234,f387,f302,f289]) ).

fof(f1437,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1436]) ).

fof(f1436,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f10,f39,f3,f59,f62,f20,f19,f21,f14,f13,f12,f9,f27,f15,f11,f33,f231,f232,f236,f234,f237,f244,f245,f246,f240,f242,f252,f250,f241,f23,f261,f283,f285,f290,f289,f293,f299,f296,f297,f292,f301,f284,f303,f305,f373,f372,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f17,f5,f18,f22,f7,f6,f16,f29,f4,f37,f938,f932,f1234,f387,f302]) ).

fof(f1435,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1434]) ).

fof(f1434,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f10,f39,f3,f59,f62,f20,f19,f21,f14,f13,f12,f9,f27,f15,f11,f33,f231,f232,f236,f234,f237,f244,f245,f246,f240,f242,f252,f250,f241,f23,f261,f283,f285,f290,f289,f293,f299,f296,f297,f292,f301,f284,f303,f305,f302,f373,f372,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f17,f5,f18,f22,f7,f6,f16,f29,f4,f37,f938,f932,f1234,f387]) ).

fof(f1433,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1432]) ).

fof(f1432,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f726,f1,f2,f10,f39,f3,f59,f62,f20,f19,f21,f14,f13,f12,f9,f27,f15,f11,f33,f231,f232,f236,f234,f237,f244,f245,f246,f240,f242,f252,f250,f241,f23,f261,f283,f285,f290,f289,f293,f299,f296,f297,f292,f301,f284,f303,f305,f302,f373,f372,f387,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f17,f5,f18,f22,f7,f6,f16,f29,f4,f37,f938,f932,f1234]) ).

fof(f1431,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1430]) ).

fof(f1430,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f499,f1,f2,f10,f39,f3,f59,f62,f20,f19,f21,f14,f13,f12,f9,f27,f15,f11,f33,f231,f232,f236,f234,f237,f244,f245,f246,f240,f242,f252,f250,f241,f23,f261,f283,f285,f290,f289,f293,f299,f296,f297,f292,f301,f284,f303,f305,f302,f373,f372,f387,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f17,f5,f18,f22,f7,f6,f16,f29,f4,f37,f938,f932,f1234]) ).

fof(f1429,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | ~ spl0_8
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1428]) ).

fof(f1428,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | ~ spl0_8
    | spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1062,f1,f2,f10,f39,f3,f59,f62,f20,f19,f21,f14,f13,f12,f9,f27,f15,f11,f33,f231,f232,f236,f234,f237,f244,f245,f246,f240,f242,f252,f250,f241,f23,f261,f283,f285,f290,f289,f293,f299,f296,f297,f292,f301,f284,f303,f305,f302,f373,f372,f387,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f17,f5,f18,f22,f7,f6,f16,f29,f4,f37,f938,f932,f1234]) ).

fof(f1427,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | ~ spl0_8
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1426]) ).

fof(f1426,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | ~ spl0_8
    | spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1063,f1,f2,f10,f39,f3,f59,f62,f20,f19,f21,f14,f13,f12,f9,f27,f15,f11,f33,f231,f232,f236,f234,f237,f244,f245,f246,f240,f242,f252,f250,f241,f23,f261,f283,f285,f290,f289,f293,f299,f296,f297,f292,f301,f284,f303,f305,f302,f373,f372,f387,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f17,f5,f18,f22,f7,f6,f16,f29,f4,f37,f938,f932,f1234]) ).

fof(f1425,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | ~ spl0_8
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1424]) ).

fof(f1424,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | ~ spl0_8
    | spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1064,f1,f2,f10,f39,f3,f59,f62,f20,f19,f21,f14,f13,f12,f9,f27,f15,f11,f33,f231,f232,f236,f234,f237,f244,f245,f246,f240,f242,f252,f250,f241,f23,f261,f283,f285,f290,f289,f293,f299,f296,f297,f292,f301,f284,f303,f305,f302,f373,f372,f387,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f17,f5,f18,f22,f7,f6,f16,f29,f4,f37,f938,f932,f1234]) ).

fof(f1423,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | ~ spl0_8
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1422]) ).

fof(f1422,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | ~ spl0_8
    | spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1067,f1,f2,f10,f39,f3,f59,f62,f20,f19,f21,f14,f13,f12,f9,f27,f15,f11,f33,f231,f232,f236,f234,f237,f244,f245,f246,f240,f242,f252,f250,f241,f23,f261,f283,f285,f290,f289,f293,f299,f296,f297,f292,f301,f284,f303,f305,f302,f373,f372,f387,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f17,f5,f18,f22,f7,f6,f16,f29,f4,f37,f938,f932,f1234]) ).

fof(f1421,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | ~ spl0_8
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1420]) ).

fof(f1420,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | ~ spl0_8
    | spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f810,f1,f2,f10,f39,f3,f59,f62,f20,f19,f21,f14,f13,f12,f9,f27,f15,f11,f33,f231,f232,f236,f234,f237,f244,f245,f246,f240,f242,f252,f250,f241,f23,f261,f283,f285,f290,f289,f293,f299,f296,f297,f292,f301,f284,f303,f305,f302,f373,f372,f387,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f17,f5,f18,f22,f7,f6,f16,f29,f4,f37,f938,f932,f1234]) ).

fof(f1419,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1418]) ).

fof(f1418,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1085,f1,f2,f10,f39,f3,f59,f62,f20,f19,f21,f14,f13,f12,f9,f27,f15,f11,f33,f231,f232,f236,f234,f237,f244,f245,f246,f240,f242,f252,f250,f241,f23,f261,f283,f285,f290,f289,f293,f299,f296,f297,f292,f301,f284,f303,f305,f302,f373,f372,f387,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f17,f5,f18,f22,f7,f6,f16,f29,f4,f37,f938,f932,f1234]) ).

fof(f1417,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1416]) ).

fof(f1416,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f852,f1,f2,f10,f39,f3,f59,f62,f20,f19,f21,f14,f13,f12,f9,f27,f15,f11,f33,f231,f232,f236,f234,f237,f244,f245,f246,f240,f242,f252,f250,f241,f23,f261,f283,f285,f290,f289,f293,f299,f296,f297,f292,f301,f284,f303,f305,f302,f373,f372,f387,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f17,f5,f18,f22,f7,f6,f16,f29,f4,f37,f938,f932,f1234]) ).

fof(f852,plain,
    ( identity = sk_c1
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(superposition,[],[f845,f231]) ).

fof(f1415,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1414]) ).

fof(f1414,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1111,f1,f2,f10,f39,f3,f59,f62,f20,f19,f21,f14,f13,f12,f9,f27,f15,f11,f33,f231,f232,f236,f234,f237,f244,f245,f246,f240,f242,f252,f250,f241,f23,f261,f283,f285,f290,f289,f293,f299,f296,f297,f292,f301,f284,f303,f305,f302,f373,f372,f387,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f17,f5,f18,f22,f7,f6,f16,f29,f4,f37,f938,f932,f1234]) ).

fof(f1111,plain,
    ( identity = sk_c1
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(superposition,[],[f855,f481]) ).

fof(f481,plain,
    ( sk_c1 = sk_c4
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f478,f232]) ).

fof(f478,plain,
    ( sk_c4 = multiply(sk_c6,identity)
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(superposition,[],[f59,f476]) ).

fof(f1413,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1412]) ).

fof(f1412,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1112,f1,f2,f10,f39,f3,f59,f62,f20,f19,f21,f14,f13,f12,f9,f27,f15,f11,f33,f231,f232,f236,f234,f237,f244,f245,f246,f240,f242,f252,f250,f241,f23,f261,f283,f285,f290,f289,f293,f299,f296,f297,f292,f301,f284,f303,f305,f302,f373,f372,f387,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f17,f5,f18,f22,f7,f6,f16,f29,f4,f37,f938,f932,f1234]) ).

fof(f1112,plain,
    ( identity = sk_c1
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(superposition,[],[f481,f855]) ).

fof(f1411,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1410]) ).

fof(f1410,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f862,f1,f2,f10,f39,f3,f59,f62,f20,f19,f21,f14,f13,f12,f9,f27,f15,f11,f33,f231,f232,f236,f234,f237,f244,f245,f246,f240,f242,f252,f250,f241,f23,f261,f283,f285,f290,f289,f293,f299,f296,f297,f292,f301,f284,f303,f305,f302,f373,f372,f387,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f17,f5,f18,f22,f7,f6,f16,f29,f4,f37,f938,f932,f1234]) ).

fof(f862,plain,
    ( identity = sk_c1
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(superposition,[],[f231,f845]) ).

fof(f1409,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1408]) ).

fof(f1408,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f849,f1,f2,f10,f39,f3,f59,f62,f20,f19,f21,f14,f13,f12,f9,f27,f15,f11,f33,f231,f232,f236,f234,f237,f244,f245,f246,f240,f242,f252,f250,f241,f23,f261,f283,f285,f290,f289,f293,f299,f296,f297,f292,f301,f284,f303,f305,f302,f373,f372,f387,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f17,f5,f18,f22,f7,f6,f16,f29,f4,f37,f938,f932,f1234]) ).

fof(f849,plain,
    ( ! [X0] : multiply(sk_c1,X0) = X0
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(superposition,[],[f845,f234]) ).

fof(f1407,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1406]) ).

fof(f1406,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1137,f1,f2,f10,f39,f3,f59,f62,f20,f19,f21,f14,f13,f12,f9,f27,f15,f11,f33,f231,f232,f236,f234,f237,f244,f245,f246,f240,f242,f252,f250,f241,f23,f261,f283,f285,f290,f289,f293,f299,f296,f297,f292,f301,f284,f303,f305,f302,f373,f372,f387,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f17,f5,f18,f22,f7,f6,f16,f29,f4,f37,f938,f932,f1234]) ).

fof(f1137,plain,
    ( ! [X0] : multiply(sk_c1,X0) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f851,f481]) ).

fof(f851,plain,
    ( ! [X0] : multiply(sk_c4,X0) = X0
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(superposition,[],[f845,f482]) ).

fof(f1405,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1404]) ).

fof(f1404,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f859,f1,f2,f10,f39,f3,f59,f62,f20,f19,f21,f14,f13,f12,f9,f27,f15,f11,f33,f231,f232,f236,f234,f237,f244,f245,f246,f240,f242,f252,f250,f241,f23,f261,f283,f285,f290,f289,f293,f299,f296,f297,f292,f301,f284,f303,f305,f302,f373,f372,f387,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f17,f5,f18,f22,f7,f6,f16,f29,f4,f37,f938,f932,f1234]) ).

fof(f859,plain,
    ( ! [X0] : multiply(sk_c1,X0) = X0
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(superposition,[],[f234,f845]) ).

fof(f1403,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1402]) ).

fof(f1402,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1144,f1,f2,f10,f39,f3,f59,f62,f20,f19,f21,f14,f13,f12,f9,f27,f15,f11,f33,f231,f232,f236,f234,f237,f244,f245,f246,f240,f242,f252,f250,f241,f23,f261,f283,f285,f290,f289,f293,f299,f296,f297,f292,f301,f284,f303,f305,f302,f373,f372,f387,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f17,f5,f18,f22,f7,f6,f16,f29,f4,f37,f938,f932,f1234]) ).

fof(f1144,plain,
    ( ! [X0] : multiply(sk_c1,X0) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f861,f481]) ).

fof(f861,plain,
    ( ! [X0] : multiply(sk_c4,X0) = X0
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(superposition,[],[f482,f845]) ).

fof(f1401,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1400]) ).

fof(f1400,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f1281,f1,f2,f10,f39,f3,f59,f62,f20,f19,f21,f14,f13,f12,f9,f27,f15,f11,f33,f231,f232,f236,f234,f237,f244,f245,f246,f240,f242,f252,f250,f241,f23,f261,f283,f285,f290,f289,f293,f299,f296,f297,f292,f301,f284,f303,f305,f302,f373,f372,f387,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f17,f5,f18,f22,f7,f6,f16,f29,f4,f37,f938,f932,f1234]) ).

fof(f1281,plain,
    ( sk_c1 = multiply(inverse(sk_c7),identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1236,f481]) ).

fof(f1399,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1398]) ).

fof(f1398,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f10,f39,f3,f59,f62,f20,f19,f21,f14,f13,f12,f9,f27,f15,f11,f33,f231,f232,f236,f234,f237,f244,f245,f246,f240,f242,f252,f250,f241,f23,f261,f283,f285,f290,f289,f293,f299,f296,f297,f292,f301,f284,f303,f305,f302,f373,f372,f387,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f17,f5,f18,f22,f7,f6,f16,f29,f4,f37,f938,f932,f1234]) ).

fof(f1397,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1396]) ).

fof(f1396,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f1287,f1,f2,f10,f39,f3,f59,f62,f20,f19,f21,f14,f13,f12,f9,f27,f15,f11,f33,f231,f232,f236,f234,f237,f244,f245,f246,f240,f242,f252,f250,f241,f23,f261,f283,f285,f290,f289,f293,f299,f296,f297,f292,f301,f284,f303,f305,f302,f373,f372,f387,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f17,f5,f18,f22,f7,f6,f16,f29,f4,f37,f938,f932]) ).

fof(f1287,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c7),X0)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f934,f481]) ).

fof(f1395,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1394]) ).

fof(f1394,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f10,f39,f3,f59,f62,f20,f19,f21,f14,f13,f12,f9,f27,f15,f11,f33,f231,f232,f236,f234,f237,f244,f245,f246,f240,f242,f252,f250,f241,f23,f261,f283,f285,f290,f289,f293,f299,f296,f297,f292,f301,f284,f303,f305,f302,f373,f372,f387,f8,f26,f25,f24,f56,f929,f937,f927,f1237,f1246,f17,f5,f18,f22,f7,f6,f16,f29,f4,f37,f938,f932]) ).

fof(f1393,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1392]) ).

fof(f1392,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f1295,f1,f2,f10,f39,f3,f59,f62,f20,f19,f21,f14,f13,f12,f9,f27,f15,f11,f33,f231,f232,f236,f234,f237,f244,f245,f246,f240,f242,f252,f250,f241,f23,f261,f283,f285,f290,f289,f293,f299,f296,f297,f292,f301,f284,f303,f305,f302,f373,f372,f387,f8,f26,f25,f24,f56,f929,f937,f932,f927,f1237,f1246,f17,f5,f18,f22,f7,f6,f16,f29,f4,f37,f938]) ).

fof(f1295,plain,
    ( sk_c1 = multiply(inverse(sk_c7),identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f947,f481]) ).

fof(f1391,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1390]) ).

fof(f1390,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f10,f39,f3,f59,f62,f20,f19,f21,f14,f13,f12,f9,f27,f15,f11,f33,f231,f232,f236,f234,f237,f244,f245,f246,f240,f242,f252,f250,f241,f23,f261,f283,f285,f290,f289,f293,f299,f296,f297,f292,f301,f284,f303,f305,f302,f373,f372,f387,f8,f26,f25,f24,f56,f929,f937,f932,f927,f1237,f1246,f17,f5,f18,f22,f7,f6,f16,f29,f4,f37,f938]) ).

fof(f1389,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1388]) ).

fof(f1388,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f10,f39,f3,f59,f62,f20,f19,f21,f14,f13,f12,f9,f27,f15,f11,f33,f231,f232,f236,f234,f237,f244,f245,f246,f240,f242,f252,f250,f241,f23,f261,f283,f285,f290,f289,f293,f299,f296,f297,f292,f301,f284,f303,f305,f302,f373,f372,f387,f8,f26,f25,f24,f56,f929,f937,f938,f932,f927,f1237,f1246,f17,f5,f18,f22,f7,f6,f16,f29,f4,f37]) ).

fof(f1387,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1386]) ).

fof(f1386,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f10,f37,f39,f3,f59,f62,f20,f19,f21,f14,f13,f12,f9,f27,f15,f11,f33,f231,f232,f236,f234,f237,f244,f245,f246,f240,f242,f252,f250,f241,f23,f261,f283,f285,f290,f289,f293,f299,f296,f297,f292,f301,f284,f303,f305,f302,f373,f372,f387,f8,f26,f25,f24,f56,f929,f937,f938,f932,f927,f1237,f1246,f17,f5,f18,f22,f7,f6,f16,f29,f4]) ).

fof(f1385,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1384]) ).

fof(f1384,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f10,f37,f39,f3,f59,f62,f20,f19,f21,f14,f13,f12,f9,f27,f15,f11,f33,f231,f232,f236,f234,f237,f244,f245,f246,f240,f242,f252,f250,f241,f23,f261,f283,f285,f290,f289,f293,f299,f296,f297,f292,f301,f284,f303,f305,f302,f373,f372,f387,f8,f4,f26,f25,f24,f56,f929,f937,f938,f932,f927,f1237,f1246,f17,f5,f18,f22,f7,f6,f16,f29]) ).

fof(f1383,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1382]) ).

fof(f1382,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | spl0_10 ),
    inference(global_subsumption,[],[f29,f1,f2,f10,f37,f39,f3,f59,f62,f20,f19,f21,f14,f13,f12,f9,f27,f15,f11,f33,f231,f232,f236,f234,f237,f244,f245,f246,f240,f242,f252,f250,f241,f23,f261,f283,f285,f290,f289,f293,f299,f296,f297,f292,f301,f284,f303,f305,f302,f373,f372,f387,f8,f4,f26,f25,f24,f56,f929,f937,f938,f932,f927,f1237,f1246,f17,f5,f18,f22,f7,f6,f16]) ).

fof(f1381,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1380]) ).

fof(f1380,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | spl0_10 ),
    inference(global_subsumption,[],[f29,f1,f2,f10,f37,f39,f3,f59,f62,f20,f19,f21,f14,f13,f12,f9,f27,f15,f11,f33,f231,f232,f236,f234,f237,f244,f245,f246,f240,f242,f252,f250,f241,f23,f261,f283,f285,f290,f289,f293,f299,f296,f297,f292,f301,f284,f303,f305,f302,f373,f372,f387,f8,f16,f4,f26,f25,f24,f56,f929,f937,f938,f932,f927,f1237,f1246,f17,f5,f18,f22,f7,f6]) ).

fof(f1379,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1378]) ).

fof(f1378,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | spl0_10 ),
    inference(global_subsumption,[],[f29,f1,f2,f10,f37,f39,f3,f59,f62,f20,f19,f21,f14,f13,f12,f9,f27,f15,f11,f33,f231,f232,f236,f234,f237,f244,f245,f246,f240,f242,f252,f250,f241,f23,f261,f283,f285,f290,f289,f293,f299,f296,f297,f292,f301,f284,f303,f305,f302,f373,f372,f387,f8,f6,f16,f4,f26,f25,f24,f56,f929,f937,f938,f932,f927,f1237,f1246,f17,f5,f18,f22,f7]) ).

fof(f1377,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1376]) ).

fof(f1376,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | spl0_10 ),
    inference(global_subsumption,[],[f29,f1,f2,f10,f37,f39,f3,f59,f62,f20,f19,f21,f14,f13,f12,f9,f27,f15,f11,f33,f231,f232,f236,f234,f237,f244,f245,f246,f240,f242,f252,f250,f241,f23,f261,f283,f285,f290,f289,f293,f299,f296,f297,f292,f301,f284,f303,f305,f302,f373,f372,f387,f8,f7,f6,f16,f4,f26,f25,f24,f56,f929,f937,f938,f932,f927,f1237,f1246,f17,f5,f18,f22]) ).

fof(f1375,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | ~ spl0_8
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1374]) ).

fof(f1374,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | ~ spl0_8
    | spl0_10 ),
    inference(global_subsumption,[],[f783,f22,f29,f1,f2,f10,f37,f39,f3,f59,f62,f20,f19,f21,f14,f13,f12,f9,f27,f15,f11,f33,f231,f232,f236,f234,f237,f244,f245,f246,f240,f242,f252,f250,f241,f23,f261,f283,f285,f290,f289,f293,f299,f296,f297,f292,f301,f284,f303,f305,f302,f373,f372,f387,f8,f7,f6,f16,f4,f26,f25,f24,f56,f929,f937,f938,f932,f927,f1237,f1246,f17,f5,f18]) ).

fof(f1373,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | ~ spl0_8
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1372]) ).

fof(f1372,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | ~ spl0_8
    | spl0_10 ),
    inference(global_subsumption,[],[f784,f22,f29,f1,f2,f10,f37,f39,f3,f59,f62,f20,f19,f21,f14,f13,f12,f9,f27,f15,f11,f33,f231,f232,f236,f234,f237,f244,f245,f246,f240,f242,f252,f250,f241,f23,f261,f283,f285,f290,f289,f293,f299,f296,f297,f292,f301,f284,f303,f305,f302,f373,f372,f387,f8,f7,f6,f16,f4,f26,f25,f24,f56,f929,f937,f938,f932,f927,f1237,f1246,f17,f5,f18]) ).

fof(f1371,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | ~ spl0_8
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1370]) ).

fof(f1370,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | ~ spl0_8
    | spl0_10 ),
    inference(global_subsumption,[],[f785,f22,f29,f1,f2,f10,f37,f39,f3,f59,f62,f20,f19,f21,f14,f13,f12,f9,f27,f15,f11,f33,f231,f232,f236,f234,f237,f244,f245,f246,f240,f242,f252,f250,f241,f23,f261,f283,f285,f290,f289,f293,f299,f296,f297,f292,f301,f284,f303,f305,f302,f373,f372,f387,f8,f7,f6,f16,f4,f26,f25,f24,f56,f929,f937,f938,f932,f927,f1237,f1246,f17,f5,f18]) ).

fof(f1369,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1368]) ).

fof(f1368,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f1334,f22,f29,f1,f2,f10,f37,f39,f3,f59,f62,f20,f19,f21,f14,f13,f12,f9,f27,f15,f11,f33,f231,f232,f236,f234,f237,f244,f245,f246,f240,f242,f252,f250,f241,f23,f261,f283,f285,f290,f289,f293,f299,f296,f297,f292,f301,f284,f303,f305,f302,f373,f372,f387,f8,f7,f6,f16,f4,f26,f25,f24,f56,f929,f937,f938,f932,f927,f1237,f1246,f17,f5,f18]) ).

fof(f1334,plain,
    ( multiply(sk_c1,sk_c7) = sk_c5
    | multiply(sk_c1,sk_c7) = sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f8,f481]) ).

fof(f1367,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1366]) ).

fof(f1366,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | spl0_10 ),
    inference(global_subsumption,[],[f22,f29,f1,f2,f10,f37,f39,f3,f59,f62,f20,f19,f21,f14,f13,f12,f9,f27,f15,f11,f33,f231,f232,f236,f234,f237,f244,f245,f246,f240,f242,f252,f250,f241,f23,f261,f283,f285,f290,f289,f293,f299,f296,f297,f292,f301,f284,f303,f305,f302,f373,f372,f387,f8,f7,f6,f16,f4,f26,f25,f24,f56,f929,f937,f938,f932,f927,f1237,f1246,f17,f5,f18]) ).

fof(f1365,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1364]) ).

fof(f1364,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1056,f22,f29,f1,f2,f10,f37,f39,f3,f59,f62,f20,f19,f18,f21,f14,f13,f12,f9,f27,f15,f11,f33,f231,f232,f236,f234,f237,f244,f245,f246,f240,f242,f252,f250,f241,f23,f261,f283,f285,f290,f289,f293,f299,f296,f297,f292,f301,f284,f303,f305,f302,f373,f372,f387,f8,f7,f6,f16,f4,f26,f25,f24,f56,f929,f937,f938,f932,f927,f1237,f1246,f17,f5]) ).

fof(f1363,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1362]) ).

fof(f1362,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f1348,f22,f29,f1,f2,f10,f37,f39,f3,f59,f62,f20,f19,f18,f21,f14,f13,f12,f9,f27,f15,f11,f33,f231,f232,f236,f234,f237,f244,f245,f246,f240,f242,f252,f250,f241,f23,f261,f283,f285,f290,f289,f293,f299,f296,f297,f292,f301,f284,f303,f305,f302,f373,f372,f387,f8,f7,f6,f16,f4,f26,f25,f24,f56,f929,f937,f938,f932,f927,f1237,f1246,f17,f5]) ).

fof(f1348,plain,
    ( multiply(sk_c1,sk_c7) = sk_c5
    | sk_c7 = multiply(sk_c2,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f20,f481]) ).

fof(f1361,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | ~ spl0_8
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1360]) ).

fof(f1360,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | ~ spl0_8
    | spl0_10 ),
    inference(global_subsumption,[],[f266,f22,f29,f1,f2,f10,f37,f39,f3,f59,f62,f20,f19,f18,f21,f14,f13,f12,f9,f27,f15,f11,f33,f231,f232,f236,f234,f237,f244,f245,f246,f240,f242,f252,f250,f241,f23,f261,f283,f285,f290,f289,f293,f299,f296,f297,f292,f301,f284,f303,f305,f302,f373,f372,f387,f8,f7,f6,f16,f4,f26,f25,f24,f56,f929,f937,f938,f932,f927,f1237,f1246,f17,f5]) ).

fof(f1359,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1358]) ).

fof(f1358,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | spl0_10 ),
    inference(global_subsumption,[],[f22,f29,f1,f2,f10,f37,f39,f3,f59,f62,f20,f19,f18,f21,f14,f13,f12,f9,f27,f15,f11,f33,f231,f232,f236,f234,f237,f244,f245,f246,f240,f242,f252,f250,f241,f23,f261,f283,f285,f290,f289,f293,f299,f296,f297,f292,f301,f284,f303,f305,f302,f373,f372,f387,f8,f7,f6,f16,f4,f26,f25,f24,f56,f929,f937,f938,f932,f927,f1237,f1246,f17,f5]) ).

fof(f1357,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1356]) ).

fof(f1356,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | spl0_10 ),
    inference(global_subsumption,[],[f22,f29,f1,f2,f10,f37,f39,f3,f59,f62,f20,f19,f18,f21,f14,f13,f12,f9,f5,f27,f15,f11,f33,f231,f232,f236,f234,f237,f244,f245,f246,f240,f242,f252,f250,f241,f23,f261,f283,f285,f290,f289,f293,f299,f296,f297,f292,f301,f284,f303,f305,f302,f373,f372,f387,f8,f7,f6,f16,f4,f26,f25,f24,f56,f929,f937,f938,f932,f927,f1237,f1246,f17]) ).

fof(f1355,plain,
    ( ~ spl0_2
    | ~ spl0_10
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1354]) ).

fof(f1354,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_10
    | spl0_12 ),
    inference(global_subsumption,[],[f22,f29,f1,f2,f10,f37,f39,f3,f59,f62,f20,f19,f18,f21,f17,f14,f13,f12,f9,f5,f27,f15,f11,f23,f391,f390,f411,f413,f8,f7,f6,f16,f4,f500,f26,f25,f24,f56,f929,f937,f388,f927,f1237,f1246,f410,f1300,f1311,f1312,f1314,f1315,f1329,f1330,f1353]) ).

fof(f1353,plain,
    ( identity != sk_c7
    | ~ spl0_10
    | spl0_12 ),
    inference(forward_demodulation,[],[f500,f388]) ).

fof(f1330,plain,
    ( identity = inverse(sk_c7)
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f22,f29,f1,f2,f10,f37,f39,f3,f59,f62,f20,f19,f18,f21,f17,f14,f13,f12,f9,f5,f27,f15,f11,f23,f391,f390,f411,f413,f8,f7,f6,f16,f4,f26,f25,f24,f56,f929,f937,f388,f927,f1237,f1246,f410,f1300,f1311,f1312,f1314,f1315,f1329]) ).

fof(f1329,plain,
    ( identity = inverse(sk_c7)
    | identity = inverse(sk_c2)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1328,f388]) ).

fof(f1328,plain,
    ( identity = inverse(sk_c2)
    | sk_c6 = inverse(sk_c7)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f22,f388]) ).

fof(f1315,plain,
    ( identity = inverse(sk_c7)
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f22,f29,f1,f2,f10,f37,f39,f3,f59,f62,f20,f19,f18,f21,f17,f14,f13,f12,f9,f5,f27,f15,f11,f23,f391,f390,f411,f413,f8,f7,f6,f16,f4,f26,f25,f24,f56,f929,f937,f388,f927,f1237,f1246,f410,f1300,f1311,f1312,f1314]) ).

fof(f1314,plain,
    ( sk_c7 = multiply(sk_c2,identity)
    | identity = inverse(sk_c7)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1313,f388]) ).

fof(f1313,plain,
    ( identity = inverse(sk_c7)
    | sk_c7 = multiply(sk_c2,sk_c6)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f16,f388]) ).

fof(f1312,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != multiply(X5,identity)
        | sk_c7 != multiply(X4,identity)
        | identity != multiply(sk_c7,multiply(X7,sk_c7))
        | identity != multiply(X3,sk_c7)
        | identity != inverse(X4)
        | sk_c7 != inverse(X7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X5) )
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f22,f29,f1,f2,f10,f37,f39,f3,f59,f62,f20,f19,f18,f21,f17,f14,f13,f12,f9,f5,f27,f15,f11,f23,f391,f390,f411,f413,f8,f7,f6,f16,f4,f26,f25,f24,f56,f929,f937,f388,f927,f1237,f1246,f410,f1300,f1311]) ).

fof(f1311,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != multiply(X5,identity)
        | sk_c7 != multiply(X4,identity)
        | identity != multiply(sk_c7,multiply(X7,sk_c7))
        | identity != multiply(X3,sk_c7)
        | identity != inverse(X4)
        | identity != inverse(sk_c7)
        | sk_c7 != inverse(X7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X5) )
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1310,f388]) ).

fof(f1310,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != multiply(X4,identity)
        | identity != multiply(sk_c7,multiply(X7,sk_c7))
        | identity != multiply(X3,sk_c7)
        | identity != inverse(X4)
        | identity != inverse(sk_c7)
        | sk_c7 != inverse(X7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X5)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1309,f388]) ).

fof(f1309,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(sk_c7,multiply(X7,sk_c7))
        | identity != multiply(X3,sk_c7)
        | identity != inverse(X4)
        | identity != inverse(sk_c7)
        | sk_c7 != inverse(X7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X5)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1308,f388]) ).

fof(f1308,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(X3,sk_c7)
        | identity != inverse(X4)
        | identity != inverse(sk_c7)
        | sk_c7 != inverse(X7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X5)
        | sk_c6 != multiply(sk_c7,multiply(X7,sk_c7))
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1307,f388]) ).

fof(f1307,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X4)
        | identity != inverse(sk_c7)
        | sk_c7 != inverse(X7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X5)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c6 != multiply(sk_c7,multiply(X7,sk_c7))
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1306,f388]) ).

fof(f1306,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(sk_c7)
        | sk_c6 != inverse(X4)
        | sk_c7 != inverse(X7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X5)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c6 != multiply(sk_c7,multiply(X7,sk_c7))
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f29,f388]) ).

fof(f1300,plain,
    ( identity = inverse(sk_c7)
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f37,f388]) ).

fof(f410,plain,
    ( identity = sk_c7
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(superposition,[],[f390,f1]) ).

fof(f388,plain,
    ( identity = sk_c6
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f386]) ).

fof(f413,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c7,X0)) = X0
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f412,f1]) ).

fof(f412,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(identity,multiply(sk_c7,X0))
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(superposition,[],[f3,f390]) ).

fof(f411,plain,
    ( identity = sk_c7
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(superposition,[],[f1,f390]) ).

fof(f390,plain,
    ( identity = multiply(identity,sk_c7)
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(superposition,[],[f39,f388]) ).

fof(f391,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c7,X0)) = X0
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(superposition,[],[f59,f388]) ).

fof(f1280,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1279]) ).

fof(f1279,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1278,f1122]) ).

fof(f1122,plain,
    ( identity = inverse(identity)
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1085,f996]) ).

fof(f996,plain,
    ( identity = sk_c7
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(superposition,[],[f388,f499]) ).

fof(f1278,plain,
    ( identity != inverse(identity)
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1277,f996]) ).

fof(f1277,plain,
    ( identity != inverse(sk_c7)
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1261,f1]) ).

fof(f1261,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(sk_c7)
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(superposition,[],[f1231,f845]) ).

fof(f1231,plain,
    ( ! [X7] :
        ( identity != multiply(identity,multiply(X7,identity))
        | identity != inverse(X7) )
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1230,f996]) ).

fof(f1230,plain,
    ( ! [X7] :
        ( sk_c7 != multiply(identity,multiply(X7,identity))
        | identity != inverse(X7) )
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1229,f499]) ).

fof(f1229,plain,
    ( ! [X7] :
        ( sk_c6 != multiply(identity,multiply(X7,identity))
        | identity != inverse(X7) )
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1228,f996]) ).

fof(f1228,plain,
    ( ! [X7] :
        ( identity != inverse(X7)
        | sk_c6 != multiply(sk_c7,multiply(X7,sk_c7)) )
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f95,f996]) ).

fof(f1276,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1275]) ).

fof(f1275,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1274,f1122]) ).

fof(f1274,plain,
    ( identity != inverse(identity)
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1273,f996]) ).

fof(f1273,plain,
    ( identity != inverse(sk_c7)
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1272,f495]) ).

fof(f1272,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1260,f1]) ).

fof(f1260,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(inverse(identity))
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(superposition,[],[f1231,f2]) ).

fof(f1271,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1270]) ).

fof(f1270,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1269,f1122]) ).

fof(f1269,plain,
    ( identity != inverse(identity)
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1259,f1]) ).

fof(f1259,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(identity)
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(superposition,[],[f1231,f1]) ).

fof(f1267,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1266]) ).

fof(f1266,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1265,f1122]) ).

fof(f1265,plain,
    ( identity != inverse(identity)
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1264,f996]) ).

fof(f1264,plain,
    ( identity != inverse(sk_c7)
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1257,f1]) ).

fof(f1257,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(sk_c7)
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(superposition,[],[f1231,f832]) ).

fof(f1227,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1226]) ).

fof(f1226,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1225,f1122]) ).

fof(f1225,plain,
    ( identity != inverse(identity)
    | ~ spl0_3
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1212,f996]) ).

fof(f1212,plain,
    ( identity != inverse(sk_c7)
    | ~ spl0_3
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f1210]) ).

fof(f1210,plain,
    ( identity != identity
    | identity != inverse(sk_c7)
    | ~ spl0_3
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(superposition,[],[f1206,f845]) ).

fof(f1206,plain,
    ( ! [X5] :
        ( identity != multiply(X5,identity)
        | identity != inverse(X5) )
    | ~ spl0_3
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1205,f996]) ).

fof(f1205,plain,
    ( ! [X5] :
        ( sk_c7 != multiply(X5,sk_c7)
        | identity != inverse(X5) )
    | ~ spl0_3
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1204,f499]) ).

fof(f1204,plain,
    ( ! [X5] :
        ( identity != inverse(X5)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_3
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f89,f996]) ).

fof(f1224,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1223]) ).

fof(f1223,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1222,f1122]) ).

fof(f1222,plain,
    ( identity != inverse(identity)
    | ~ spl0_3
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1221,f996]) ).

fof(f1221,plain,
    ( identity != inverse(sk_c7)
    | ~ spl0_3
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1213,f495]) ).

fof(f1213,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_3
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f1209]) ).

fof(f1209,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_3
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(superposition,[],[f1206,f2]) ).

fof(f1220,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1219]) ).

fof(f1219,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1214,f1122]) ).

fof(f1214,plain,
    ( identity != inverse(identity)
    | ~ spl0_3
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f1208]) ).

fof(f1208,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl0_3
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(superposition,[],[f1206,f1]) ).

fof(f1218,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1217]) ).

fof(f1217,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1216,f1122]) ).

fof(f1216,plain,
    ( identity != inverse(identity)
    | ~ spl0_3
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1215,f996]) ).

fof(f1215,plain,
    ( identity != inverse(sk_c7)
    | ~ spl0_3
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f1207]) ).

fof(f1207,plain,
    ( identity != identity
    | identity != inverse(sk_c7)
    | ~ spl0_3
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(superposition,[],[f1206,f832]) ).

fof(f1203,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1202]) ).

fof(f1202,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1201,f1122]) ).

fof(f1201,plain,
    ( identity != inverse(identity)
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1188,f996]) ).

fof(f1188,plain,
    ( identity != inverse(sk_c7)
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f1186]) ).

fof(f1186,plain,
    ( identity != identity
    | identity != inverse(sk_c7)
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(superposition,[],[f1182,f845]) ).

fof(f1182,plain,
    ( ! [X4] :
        ( identity != multiply(X4,identity)
        | identity != inverse(X4) )
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1181,f996]) ).

fof(f1181,plain,
    ( ! [X4] :
        ( identity != multiply(X4,identity)
        | sk_c7 != inverse(X4) )
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1083,f996]) ).

fof(f1083,plain,
    ( ! [X4] :
        ( sk_c7 != multiply(X4,sk_c7)
        | sk_c7 != inverse(X4) )
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1082,f499]) ).

fof(f1082,plain,
    ( ! [X4] :
        ( sk_c7 != inverse(X4)
        | sk_c7 != multiply(X4,sk_c6) )
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f98,f499]) ).

fof(f98,plain,
    ( ! [X4] :
        ( sk_c6 != inverse(X4)
        | sk_c7 != multiply(X4,sk_c6) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f97]) ).

fof(f97,plain,
    ( spl0_6
  <=> ! [X4] :
        ( sk_c6 != inverse(X4)
        | sk_c7 != multiply(X4,sk_c6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f1200,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1199]) ).

fof(f1199,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1198,f1122]) ).

fof(f1198,plain,
    ( identity != inverse(identity)
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1197,f996]) ).

fof(f1197,plain,
    ( identity != inverse(sk_c7)
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1189,f495]) ).

fof(f1189,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f1185]) ).

fof(f1185,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(superposition,[],[f1182,f2]) ).

fof(f1196,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1195]) ).

fof(f1195,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1190,f1122]) ).

fof(f1190,plain,
    ( identity != inverse(identity)
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f1184]) ).

fof(f1184,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(superposition,[],[f1182,f1]) ).

fof(f1194,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1193]) ).

fof(f1193,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1192,f1122]) ).

fof(f1192,plain,
    ( identity != inverse(identity)
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1191,f996]) ).

fof(f1191,plain,
    ( identity != inverse(sk_c7)
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f1183]) ).

fof(f1183,plain,
    ( identity != identity
    | identity != inverse(sk_c7)
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(superposition,[],[f1182,f832]) ).

fof(f1035,plain,
    ( spl0_2
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1034]) ).

fof(f1034,plain,
    ( $false
    | spl0_2
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1033,f499]) ).

fof(f1033,plain,
    ( sk_c7 != sk_c6
    | spl0_2
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1019,f495]) ).

fof(f1019,plain,
    ( sk_c6 != inverse(identity)
    | spl0_2
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(superposition,[],[f36,f1007]) ).

fof(f1007,plain,
    ( identity = sk_c7
    | spl0_2
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1006,f1]) ).

fof(f1006,plain,
    ( sk_c7 = multiply(identity,identity)
    | spl0_2
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f999,f856]) ).

fof(f856,plain,
    ( identity = sk_c2
    | spl0_2
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(superposition,[],[f845,f828]) ).

fof(f828,plain,
    ( identity = multiply(sk_c7,sk_c2)
    | spl0_2
    | ~ spl0_12 ),
    inference(superposition,[],[f2,f759]) ).

fof(f759,plain,
    ( sk_c7 = inverse(sk_c2)
    | spl0_2
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f758,f499]) ).

fof(f758,plain,
    ( sk_c6 = inverse(sk_c2)
    | spl0_2 ),
    inference(subsumption_resolution,[],[f22,f36]) ).

fof(f999,plain,
    ( sk_c7 = multiply(sk_c2,identity)
    | spl0_2
    | ~ spl0_10 ),
    inference(superposition,[],[f637,f388]) ).

fof(f637,plain,
    ( sk_c7 = multiply(sk_c2,sk_c6)
    | spl0_2 ),
    inference(subsumption_resolution,[],[f16,f36]) ).

fof(f36,plain,
    ( sk_c6 != inverse(sk_c7)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f35]) ).

fof(f983,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f982]) ).

fof(f982,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_10 ),
    inference(subsumption_resolution,[],[f981,f387]) ).

fof(f981,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | spl0_2 ),
    inference(forward_demodulation,[],[f944,f2]) ).

fof(f944,plain,
    ( sk_c6 = multiply(inverse(sk_c6),sk_c6)
    | ~ spl0_1
    | spl0_2 ),
    inference(superposition,[],[f56,f650]) ).

fof(f650,plain,
    ( sk_c6 = multiply(sk_c6,sk_c6)
    | ~ spl0_1
    | spl0_2 ),
    inference(forward_demodulation,[],[f645,f629]) ).

fof(f629,plain,
    ( multiply(sk_c1,sk_c7) = sk_c6
    | spl0_2 ),
    inference(subsumption_resolution,[],[f4,f36]) ).

fof(f645,plain,
    ( multiply(sk_c1,sk_c7) = multiply(sk_c6,sk_c6)
    | ~ spl0_1
    | spl0_2 ),
    inference(superposition,[],[f632,f631]) ).

fof(f631,plain,
    ( sk_c7 = multiply(sk_c7,sk_c6)
    | ~ spl0_1
    | spl0_2 ),
    inference(superposition,[],[f234,f629]) ).

fof(f632,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c1,multiply(sk_c7,X0))
    | spl0_2 ),
    inference(superposition,[],[f3,f629]) ).

fof(f978,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f977]) ).

fof(f977,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_10 ),
    inference(subsumption_resolution,[],[f976,f387]) ).

fof(f976,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | spl0_2 ),
    inference(forward_demodulation,[],[f942,f2]) ).

fof(f942,plain,
    ( sk_c6 = multiply(inverse(sk_c7),sk_c7)
    | ~ spl0_1
    | spl0_2 ),
    inference(superposition,[],[f56,f631]) ).

fof(f782,plain,
    ( spl0_2
    | spl0_8
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f781]) ).

fof(f781,plain,
    ( $false
    | spl0_2
    | spl0_8
    | spl0_12 ),
    inference(global_subsumption,[],[f500,f22,f29,f1,f2,f10,f3,f56,f20,f19,f18,f21,f17,f14,f13,f12,f9,f5,f27,f15,f11,f23,f8,f7,f6,f16,f4,f36,f629,f637,f632,f639,f265,f24,f25,f26,f758]) ).

fof(f265,plain,
    ( sk_c6 != inverse(sk_c2)
    | spl0_8 ),
    inference(avatar_component_clause,[],[f264]) ).

fof(f639,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c2,multiply(sk_c6,X0))
    | spl0_2 ),
    inference(superposition,[],[f3,f637]) ).

fof(f780,plain,
    ( spl0_2
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f779]) ).

fof(f779,plain,
    ( $false
    | spl0_2
    | spl0_8 ),
    inference(global_subsumption,[],[f22,f29,f1,f2,f10,f3,f56,f20,f19,f18,f21,f17,f14,f13,f12,f9,f5,f27,f15,f11,f23,f8,f7,f6,f16,f4,f36,f629,f637,f632,f639,f265,f24,f25,f26,f758]) ).

fof(f778,plain,
    ( spl0_2
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f777]) ).

fof(f777,plain,
    ( $false
    | spl0_2
    | spl0_8 ),
    inference(global_subsumption,[],[f22,f29,f1,f2,f10,f3,f56,f20,f19,f18,f21,f17,f14,f13,f12,f9,f5,f27,f15,f11,f23,f8,f7,f6,f16,f4,f36,f629,f637,f632,f639,f265,f24,f25,f26]) ).

fof(f776,plain,
    ( spl0_2
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f775]) ).

fof(f775,plain,
    ( $false
    | spl0_2
    | spl0_8 ),
    inference(global_subsumption,[],[f22,f29,f1,f2,f10,f3,f56,f20,f19,f18,f26,f21,f17,f14,f13,f12,f9,f5,f27,f15,f11,f23,f8,f7,f6,f16,f4,f36,f629,f637,f632,f639,f265,f24,f25]) ).

fof(f774,plain,
    ( spl0_2
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f773]) ).

fof(f773,plain,
    ( $false
    | spl0_2
    | spl0_8 ),
    inference(global_subsumption,[],[f22,f29,f1,f2,f10,f3,f56,f20,f19,f18,f26,f25,f21,f17,f14,f13,f12,f9,f5,f27,f15,f11,f23,f8,f7,f6,f16,f4,f36,f629,f637,f632,f639,f265,f24]) ).

fof(f772,plain,
    ( spl0_2
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f771]) ).

fof(f771,plain,
    ( $false
    | spl0_2
    | spl0_8 ),
    inference(global_subsumption,[],[f22,f29,f1,f2,f10,f3,f56,f20,f19,f18,f26,f25,f24,f21,f17,f14,f13,f12,f9,f5,f27,f15,f11,f23,f8,f7,f6,f16,f4,f36,f629,f637,f632,f639,f265]) ).

fof(f770,plain,
    ( spl0_2
    | spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f769]) ).

fof(f769,plain,
    ( $false
    | spl0_2
    | spl0_8
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f22,f29,f1,f2,f10,f3,f56,f20,f19,f18,f26,f25,f24,f21,f17,f14,f13,f12,f9,f5,f27,f15,f11,f23,f8,f7,f6,f16,f4,f36,f629,f637,f632,f639,f499,f728,f730,f759,f760,f761,f763,f764,f766,f767,f768]) ).

fof(f768,plain,
    ( sk_c7 != inverse(sk_c2)
    | spl0_8
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f265,f499]) ).

fof(f767,plain,
    ( sk_c7 = inverse(sk_c2)
    | spl0_2
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f22,f29,f1,f2,f10,f3,f56,f20,f19,f18,f26,f25,f24,f21,f17,f14,f13,f12,f9,f5,f27,f15,f11,f23,f8,f7,f6,f16,f4,f36,f629,f637,f632,f639,f499,f728,f730,f759,f760,f761,f763,f764,f766]) ).

fof(f764,plain,
    ( sk_c7 = inverse(sk_c2)
    | spl0_2
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f22,f29,f1,f2,f10,f3,f56,f20,f19,f18,f26,f25,f24,f21,f17,f14,f13,f12,f9,f5,f27,f15,f11,f23,f8,f7,f6,f16,f4,f36,f629,f637,f632,f639,f499,f728,f730,f759,f760,f761,f763]) ).

fof(f761,plain,
    ( sk_c7 = inverse(sk_c2)
    | spl0_2
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f22,f29,f1,f2,f10,f3,f56,f20,f19,f18,f26,f25,f24,f21,f17,f14,f13,f12,f9,f5,f27,f15,f11,f23,f8,f7,f6,f16,f4,f36,f629,f637,f632,f639,f499,f728,f730,f759,f760]) ).

fof(f730,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c2,multiply(sk_c7,X0))
    | spl0_2
    | ~ spl0_12 ),
    inference(superposition,[],[f639,f499]) ).

fof(f728,plain,
    ( sk_c7 = multiply(sk_c2,sk_c7)
    | spl0_2
    | ~ spl0_12 ),
    inference(superposition,[],[f637,f499]) ).

fof(f751,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f750]) ).

fof(f750,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | spl0_11 ),
    inference(subsumption_resolution,[],[f743,f496]) ).

fof(f496,plain,
    ( sk_c7 != inverse(identity)
    | spl0_11 ),
    inference(avatar_component_clause,[],[f494]) ).

fof(f743,plain,
    ( sk_c7 = inverse(identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8 ),
    inference(superposition,[],[f33,f706]) ).

fof(f706,plain,
    ( identity = sk_c1
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8 ),
    inference(superposition,[],[f702,f231]) ).

fof(f702,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f701,f1]) ).

fof(f701,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(identity,X0))
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f697]) ).

fof(f697,plain,
    ( identity = multiply(sk_c7,identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f695,f672]) ).

fof(f672,plain,
    ( identity = multiply(sk_c2,multiply(sk_c1,identity))
    | ~ spl0_1
    | spl0_2 ),
    inference(forward_demodulation,[],[f664,f231]) ).

fof(f664,plain,
    ( multiply(sk_c7,sk_c1) = multiply(sk_c2,multiply(sk_c1,identity))
    | ~ spl0_1
    | spl0_2 ),
    inference(superposition,[],[f639,f644]) ).

fof(f644,plain,
    ( multiply(sk_c1,identity) = multiply(sk_c6,sk_c1)
    | ~ spl0_1
    | spl0_2 ),
    inference(superposition,[],[f632,f231]) ).

fof(f695,plain,
    ( multiply(sk_c7,identity) = multiply(sk_c2,multiply(sk_c1,identity))
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8 ),
    inference(superposition,[],[f639,f686]) ).

fof(f686,plain,
    ( multiply(sk_c6,identity) = multiply(sk_c1,identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8 ),
    inference(superposition,[],[f272,f672]) ).

fof(f723,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f722]) ).

fof(f722,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | spl0_12 ),
    inference(subsumption_resolution,[],[f716,f500]) ).

fof(f716,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8 ),
    inference(superposition,[],[f631,f702]) ).

fof(f721,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f720]) ).

fof(f720,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | spl0_12 ),
    inference(subsumption_resolution,[],[f707,f500]) ).

fof(f707,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8 ),
    inference(superposition,[],[f702,f631]) ).

fof(f635,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f634]) ).

fof(f634,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f633,f33]) ).

fof(f633,plain,
    ( sk_c7 != inverse(sk_c1)
    | spl0_2
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f630]) ).

fof(f630,plain,
    ( sk_c6 != sk_c6
    | sk_c7 != inverse(sk_c1)
    | spl0_2
    | ~ spl0_4 ),
    inference(superposition,[],[f92,f629]) ).

fof(f92,plain,
    ( ! [X3] :
        ( sk_c6 != multiply(X3,sk_c7)
        | sk_c7 != inverse(X3) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f91]) ).

fof(f91,plain,
    ( spl0_4
  <=> ! [X3] :
        ( sk_c7 != inverse(X3)
        | sk_c6 != multiply(X3,sk_c7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f622,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f621]) ).

fof(f621,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_9
    | spl0_10 ),
    inference(subsumption_resolution,[],[f620,f546]) ).

fof(f546,plain,
    ( identity != sk_c1
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_10 ),
    inference(superposition,[],[f387,f539]) ).

fof(f539,plain,
    ( sk_c1 = sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_10 ),
    inference(forward_demodulation,[],[f536,f232]) ).

fof(f536,plain,
    ( sk_c6 = multiply(sk_c6,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_10 ),
    inference(superposition,[],[f59,f530]) ).

fof(f530,plain,
    ( identity = multiply(sk_c7,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_10 ),
    inference(forward_demodulation,[],[f523,f242]) ).

fof(f523,plain,
    ( multiply(sk_c1,sk_c7) = multiply(sk_c7,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_10 ),
    inference(superposition,[],[f507,f504]) ).

fof(f504,plain,
    ( sk_c7 = multiply(sk_c1,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_10 ),
    inference(subsumption_resolution,[],[f503,f387]) ).

fof(f503,plain,
    ( identity = sk_c6
    | sk_c7 = multiply(sk_c1,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f502,f242]) ).

fof(f502,plain,
    ( sk_c7 = multiply(sk_c1,sk_c6)
    | multiply(sk_c1,sk_c7) = sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f6,f379]) ).

fof(f379,plain,
    ( sk_c1 = sk_c3
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f376,f232]) ).

fof(f376,plain,
    ( sk_c3 = multiply(sk_c6,identity)
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(superposition,[],[f59,f374]) ).

fof(f507,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c1,multiply(sk_c1,X0))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_10 ),
    inference(forward_demodulation,[],[f506,f237]) ).

fof(f506,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c1,multiply(sk_c6,X0))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_10 ),
    inference(superposition,[],[f3,f504]) ).

fof(f620,plain,
    ( identity = sk_c1
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_9
    | spl0_10 ),
    inference(forward_demodulation,[],[f619,f1]) ).

fof(f619,plain,
    ( sk_c1 = multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_9
    | spl0_10 ),
    inference(forward_demodulation,[],[f618,f584]) ).

fof(f584,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_9
    | spl0_10 ),
    inference(subsumption_resolution,[],[f583,f546]) ).

fof(f583,plain,
    ( identity = sk_c1
    | identity = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_9
    | spl0_10 ),
    inference(forward_demodulation,[],[f582,f242]) ).

fof(f582,plain,
    ( sk_c1 = multiply(sk_c1,sk_c7)
    | identity = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_9
    | spl0_10 ),
    inference(forward_demodulation,[],[f581,f539]) ).

fof(f581,plain,
    ( identity = sk_c7
    | multiply(sk_c1,sk_c7) = sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_9
    | spl0_10 ),
    inference(forward_demodulation,[],[f580,f242]) ).

fof(f580,plain,
    ( sk_c7 = multiply(sk_c1,sk_c7)
    | multiply(sk_c1,sk_c7) = sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_9
    | spl0_10 ),
    inference(forward_demodulation,[],[f579,f564]) ).

fof(f564,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_10 ),
    inference(superposition,[],[f548,f558]) ).

fof(f558,plain,
    ( sk_c5 = multiply(sk_c1,sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_10 ),
    inference(forward_demodulation,[],[f556,f539]) ).

fof(f556,plain,
    ( sk_c5 = multiply(sk_c6,sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_10 ),
    inference(superposition,[],[f59,f554]) ).

fof(f554,plain,
    ( sk_c1 = multiply(sk_c7,sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_10 ),
    inference(subsumption_resolution,[],[f553,f546]) ).

fof(f553,plain,
    ( identity = sk_c1
    | sk_c1 = multiply(sk_c7,sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_10 ),
    inference(forward_demodulation,[],[f552,f242]) ).

fof(f552,plain,
    ( sk_c1 = multiply(sk_c1,sk_c7)
    | sk_c1 = multiply(sk_c7,sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_10 ),
    inference(forward_demodulation,[],[f551,f539]) ).

fof(f551,plain,
    ( sk_c1 = multiply(sk_c7,sk_c5)
    | multiply(sk_c1,sk_c7) = sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_10 ),
    inference(forward_demodulation,[],[f7,f539]) ).

fof(f548,plain,
    ( sk_c7 = multiply(sk_c1,sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_10 ),
    inference(superposition,[],[f504,f539]) ).

fof(f579,plain,
    ( multiply(sk_c1,sk_c7) = sk_c5
    | multiply(sk_c1,sk_c7) = sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f8,f481]) ).

fof(f618,plain,
    ( sk_c1 = multiply(identity,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_9
    | spl0_10 ),
    inference(forward_demodulation,[],[f601,f564]) ).

fof(f601,plain,
    ( sk_c1 = multiply(identity,sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_9
    | spl0_10 ),
    inference(superposition,[],[f554,f584]) ).

fof(f616,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f615]) ).

fof(f615,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_9
    | spl0_10 ),
    inference(subsumption_resolution,[],[f614,f546]) ).

fof(f614,plain,
    ( identity = sk_c1
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_9
    | spl0_10 ),
    inference(forward_demodulation,[],[f598,f1]) ).

fof(f598,plain,
    ( sk_c1 = multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_9
    | spl0_10 ),
    inference(superposition,[],[f529,f584]) ).

fof(f529,plain,
    ( sk_c1 = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_10 ),
    inference(forward_demodulation,[],[f522,f240]) ).

fof(f522,plain,
    ( multiply(sk_c7,sk_c7) = multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_10 ),
    inference(superposition,[],[f507,f242]) ).

fof(f613,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f612]) ).

fof(f612,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_9
    | spl0_10 ),
    inference(subsumption_resolution,[],[f611,f387]) ).

fof(f611,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_9
    | spl0_10 ),
    inference(forward_demodulation,[],[f596,f1]) ).

fof(f596,plain,
    ( sk_c6 = multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_9
    | spl0_10 ),
    inference(superposition,[],[f505,f584]) ).

fof(f505,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_10 ),
    inference(superposition,[],[f234,f504]) ).

fof(f501,plain,
    ( ~ spl0_11
    | ~ spl0_12
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f488,f91,f498,f494]) ).

fof(f488,plain,
    ( sk_c7 != sk_c6
    | sk_c7 != inverse(identity)
    | ~ spl0_4 ),
    inference(superposition,[],[f92,f1]) ).

fof(f475,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f474]) ).

fof(f474,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f473,f410]) ).

fof(f473,plain,
    ( identity != sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(superposition,[],[f461,f400]) ).

fof(f400,plain,
    ( sk_c7 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(superposition,[],[f33,f395]) ).

fof(f395,plain,
    ( identity = sk_c1
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f392,f1]) ).

fof(f392,plain,
    ( sk_c1 = multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(superposition,[],[f232,f388]) ).

fof(f461,plain,
    ( identity != inverse(identity)
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f456]) ).

fof(f456,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(superposition,[],[f450,f1]) ).

fof(f450,plain,
    ( ! [X3] :
        ( identity != multiply(X3,identity)
        | identity != inverse(X3) )
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f449,f388]) ).

fof(f449,plain,
    ( ! [X3] :
        ( sk_c6 != multiply(X3,identity)
        | identity != inverse(X3) )
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f448,f410]) ).

fof(f448,plain,
    ( ! [X3] :
        ( identity != inverse(X3)
        | sk_c6 != multiply(X3,sk_c7) )
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f92,f410]) ).

fof(f389,plain,
    ( spl0_9
    | spl0_10
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f372,f35,f31,f386,f382]) ).

fof(f369,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f368]) ).

fof(f368,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_7 ),
    inference(subsumption_resolution,[],[f367,f302]) ).

fof(f367,plain,
    ( identity != sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_7 ),
    inference(superposition,[],[f355,f292]) ).

fof(f355,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_7 ),
    inference(trivial_inequality_removal,[],[f350]) ).

fof(f350,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_7 ),
    inference(superposition,[],[f346,f1]) ).

fof(f346,plain,
    ( ! [X3] :
        ( identity != multiply(X3,identity)
        | identity != inverse(X3) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_7 ),
    inference(forward_demodulation,[],[f345,f283]) ).

fof(f345,plain,
    ( ! [X3] :
        ( sk_c6 != multiply(X3,identity)
        | identity != inverse(X3) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_7 ),
    inference(forward_demodulation,[],[f344,f302]) ).

fof(f344,plain,
    ( ! [X3] :
        ( identity != inverse(X3)
        | sk_c6 != multiply(X3,sk_c7) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_7 ),
    inference(forward_demodulation,[],[f92,f302]) ).

fof(f267,plain,
    ( spl0_7
    | spl0_8 ),
    inference(avatar_split_clause,[],[f23,f264,f260]) ).

fof(f230,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f229]) ).

fof(f229,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f228,f126]) ).

fof(f228,plain,
    ( identity != inverse(identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f219,f126]) ).

fof(f219,plain,
    ( identity != inverse(inverse(identity))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f217]) ).

fof(f217,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(superposition,[],[f212,f2]) ).

fof(f212,plain,
    ( ! [X3] :
        ( identity != multiply(X3,identity)
        | identity != inverse(X3) )
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f211,f105]) ).

fof(f211,plain,
    ( ! [X3] :
        ( sk_c7 != multiply(X3,identity)
        | identity != inverse(X3) )
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f210,f101]) ).

fof(f210,plain,
    ( ! [X3] :
        ( sk_c6 != multiply(X3,identity)
        | identity != inverse(X3) )
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f209,f105]) ).

fof(f209,plain,
    ( ! [X3] :
        ( identity != inverse(X3)
        | sk_c6 != multiply(X3,sk_c7) )
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f92,f105]) ).

fof(f227,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f226]) ).

fof(f226,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f220,f126]) ).

fof(f220,plain,
    ( identity != inverse(identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f216]) ).

fof(f216,plain,
    ( identity != identity
    | identity != inverse(identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(superposition,[],[f212,f1]) ).

fof(f225,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f224]) ).

fof(f224,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f223,f126]) ).

fof(f223,plain,
    ( identity != inverse(identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f222,f105]) ).

fof(f222,plain,
    ( identity != inverse(sk_c7)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f221,f101]) ).

fof(f221,plain,
    ( identity != inverse(sk_c6)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f215,f153]) ).

fof(f215,plain,
    ( identity != sk_c3
    | identity != inverse(sk_c6)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(superposition,[],[f212,f63]) ).

fof(f208,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_contradiction_clause,[],[f207]) ).

fof(f207,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f206,f126]) ).

fof(f206,plain,
    ( identity != inverse(identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f197,f126]) ).

fof(f197,plain,
    ( identity != inverse(inverse(identity))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f195]) ).

fof(f195,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f176,f2]) ).

fof(f176,plain,
    ( ! [X5] :
        ( identity != multiply(X5,identity)
        | identity != inverse(X5) )
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f175,f105]) ).

fof(f175,plain,
    ( ! [X5] :
        ( sk_c7 != multiply(X5,sk_c7)
        | identity != inverse(X5) )
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f174,f101]) ).

fof(f174,plain,
    ( ! [X5] :
        ( identity != inverse(X5)
        | sk_c7 != multiply(X5,sk_c6) )
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f89,f105]) ).

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

fof(f204,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f198,f126]) ).

fof(f198,plain,
    ( identity != inverse(identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f194]) ).

fof(f194,plain,
    ( identity != identity
    | identity != inverse(identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f176,f1]) ).

fof(f203,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_contradiction_clause,[],[f202]) ).

fof(f202,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f201,f126]) ).

fof(f201,plain,
    ( identity != inverse(identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f200,f105]) ).

fof(f200,plain,
    ( identity != inverse(sk_c7)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f199,f101]) ).

fof(f199,plain,
    ( identity != inverse(sk_c6)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f193,f153]) ).

fof(f193,plain,
    ( identity != sk_c3
    | identity != inverse(sk_c6)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f176,f63]) ).

fof(f99,plain,
    ( spl0_3
    | spl0_4
    | spl0_5
    | spl0_6
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f62,f35,f97,f94,f91,f88]) ).

fof(f38,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f10,f35,f31]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GRP216-1 : TPTP v8.2.0. Released v2.5.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n005.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sun May 19 04:28:38 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.36  % (6778)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37  % (6781)WARNING: value z3 for option sas not known
% 0.14/0.38  % (6780)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38  % (6779)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38  % (6782)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38  % (6783)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)
% 0.14/0.38  % (6781)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)
% 0.14/0.38  % (6784)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)
% 0.14/0.38  % (6785)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)
% 0.14/0.38  TRYING [1]
% 0.14/0.38  TRYING [2]
% 0.14/0.38  TRYING [1]
% 0.14/0.38  TRYING [3]
% 0.14/0.38  TRYING [2]
% 0.20/0.39  TRYING [4]
% 0.20/0.39  TRYING [3]
% 0.20/0.40  TRYING [5]
% 0.20/0.41  TRYING [4]
% 0.20/0.43  % (6781)First to succeed.
% 0.20/0.44  TRYING [6]
% 0.20/0.44  % (6781)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-6778"
% 0.20/0.45  % (6781)Refutation found. Thanks to Tanya!
% 0.20/0.45  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.45  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.46  % (6781)------------------------------
% 0.20/0.46  % (6781)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.46  % (6781)Termination reason: Refutation
% 0.20/0.46  
% 0.20/0.46  % (6781)Memory used [KB]: 1530
% 0.20/0.46  % (6781)Time elapsed: 0.071 s
% 0.20/0.46  % (6781)Instructions burned: 133 (million)
% 0.20/0.46  % (6778)Success in time 0.093 s
%------------------------------------------------------------------------------