%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GRP294-1 : 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 : n007.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 21:21:34 EDT 2024

% Result   : Unsatisfiable 0.22s 0.47s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   33
%            Number of leaves      :   44
% Syntax   : Number of formulae    : 1012 (  44 unt;   0 def)
%            Number of atoms       : 4506 (1620 equ)
%            Maximal formula atoms :   14 (   4 avg)
%            Number of connectives : 6331 (2837   ~;3484   |;   0   &)
%                                         (  10 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   6 avg)
%            Maximal term depth    :    6 (   1 avg)
%            Number of predicates  :   12 (  10 usr;  11 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :  506 ( 506   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2308,plain,
    $false,
    inference(avatar_sat_refutation,[],[f43,f172,f186,f557,f670,f785,f788,f851,f1096,f1126,f1128,f1130,f1134,f1141,f1145,f1149,f1151,f1153,f1155,f1157,f1163,f1167,f1169,f1171,f1173,f1175,f1177,f1179,f1181,f1183,f1185,f1187,f1189,f1191,f1193,f1195,f1197,f1199,f1201,f1204,f1447,f1470,f1475,f1477,f1479,f1486,f1492,f1499,f1505,f1514,f1521,f1530,f1537,f1541,f1546,f1550,f1553,f1558,f1562,f1565,f1567,f1569,f1574,f1576,f1580,f1593,f1595,f1597,f1599,f1602,f1604,f1606,f1608,f1614,f1617,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,f1682,f1684,f1686,f1688,f1691,f1693,f1695,f1697,f1699,f1730,f1762,f1868,f1873,f1877,f1881,f1883,f1885,f1887,f1890,f1893,f1899,f2031,f2033,f2035,f2037,f2039,f2041,f2043,f2045,f2047,f2050,f2052,f2057,f2061,f2065,f2068,f2071,f2074,f2078,f2082,f2085,f2089,f2096,f2102,f2106,f2110,f2114,f2118,f2122,f2124,f2126,f2128,f2136,f2143,f2149,f2153,f2155,f2158,f2160,f2287,f2295,f2303,f2307]) ).

fof(f2307,plain,
    ( ~ spl0_2
    | spl0_4
    | ~ spl0_5
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2306]) ).

fof(f2306,plain,
    ( $false
    | ~ spl0_2
    | spl0_4
    | ~ spl0_5
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f16,f44,f3,f63,f31,f32,f60,f396,f392,f553,f541,f33,f30,f29,f185,f560,f418,f573,f571,f586,f391,f401,f594,f595,f597,f598,f591,f603,f604,f592,f600,f593,f584,f658,f659,f661,f4,f588,f745,f746,f743,f789,f1219,f1238,f1241,f1242,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f19,f24,f9,f14,f34,f1715,f1757,f1320,f563,f559,f558,f561,f1388,f1408,f657,f42,f13,f28,f17,f18,f2162,f27,f12,f23,f8,f15,f2166,f25,f6,f11,f21,f26,f10,f20,f5,f22,f7,f2002,f2000,f846,f2174,f849,f574,f2185,f2186,f2001,f1237,f2266,f2270,f2293,f180]) ).

fof(f180,plain,
    ( sk_c6 != inverse(sk_c4)
    | spl0_4 ),
    inference(avatar_component_clause,[],[f179]) ).

fof(f179,plain,
    ( spl0_4
  <=> sk_c6 = inverse(sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f2293,plain,
    ( sk_c6 = inverse(sk_c4)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | spl0_10 ),
    inference(subsumption_resolution,[],[f2292,f849]) ).

fof(f2292,plain,
    ( identity = sk_c6
    | sk_c6 = inverse(sk_c4)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2291,f1]) ).

fof(f2291,plain,
    ( sk_c6 = multiply(identity,identity)
    | sk_c6 = inverse(sk_c4)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2290,f2001]) ).

fof(f2290,plain,
    ( sk_c6 = multiply(sk_c1,identity)
    | sk_c6 = inverse(sk_c4)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f12,f846]) ).

fof(f2270,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c6,X0)) = X0
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | spl0_10 ),
    inference(forward_demodulation,[],[f2268,f1]) ).

fof(f2268,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c3,multiply(sk_c6,X0))
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | spl0_10 ),
    inference(superposition,[],[f3,f2266]) ).

fof(f2266,plain,
    ( identity = multiply(sk_c3,sk_c6)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | spl0_10 ),
    inference(subsumption_resolution,[],[f2265,f849]) ).

fof(f2265,plain,
    ( identity = sk_c6
    | identity = multiply(sk_c3,sk_c6)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2264,f1]) ).

fof(f2264,plain,
    ( sk_c6 = multiply(identity,identity)
    | identity = multiply(sk_c3,sk_c6)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2263,f2001]) ).

fof(f2263,plain,
    ( sk_c6 = multiply(sk_c1,identity)
    | identity = multiply(sk_c3,sk_c6)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2262,f846]) ).

fof(f2262,plain,
    ( identity = multiply(sk_c3,sk_c6)
    | sk_c6 = multiply(sk_c1,sk_c7)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f10,f846]) ).

fof(f1237,plain,
    ( identity = sk_c2
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(superposition,[],[f1219,f1]) ).

fof(f2001,plain,
    ( identity = sk_c1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f574,f1237]) ).

fof(f2186,plain,
    ( identity = inverse(sk_c1)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2184,f846]) ).

fof(f2184,plain,
    ( sk_c7 = inverse(sk_c1)
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f185,f574]) ).

fof(f2185,plain,
    ( identity = multiply(identity,sk_c1)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2183,f846]) ).

fof(f2183,plain,
    ( identity = multiply(sk_c7,sk_c1)
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f560,f574]) ).

fof(f574,plain,
    ( sk_c1 = sk_c2
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f561,f418]) ).

fof(f849,plain,
    ( identity != sk_c6
    | spl0_10 ),
    inference(avatar_component_clause,[],[f848]) ).

fof(f848,plain,
    ( spl0_10
  <=> identity = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f2174,plain,
    ( identity = multiply(identity,sk_c2)
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(superposition,[],[f560,f846]) ).

fof(f846,plain,
    ( identity = sk_c7
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f844]) ).

fof(f844,plain,
    ( spl0_9
  <=> identity = sk_c7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f2000,plain,
    ( identity = sk_c1
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1999,f743]) ).

fof(f1999,plain,
    ( sk_c1 = inverse(identity)
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f657,f846]) ).

fof(f2002,plain,
    ( identity = inverse(sk_c1)
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f42,f846]) ).

fof(f7,axiom,
    ( sk_c6 = inverse(sk_c4)
    | multiply(sk_c7,sk_c6) = sk_c5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).

fof(f22,axiom,
    ( sk_c6 = inverse(sk_c4)
    | sk_c6 = multiply(sk_c7,sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).

fof(f5,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | multiply(sk_c7,sk_c6) = sk_c5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).

fof(f20,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | sk_c6 = multiply(sk_c7,sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).

fof(f10,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | sk_c6 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).

fof(f26,axiom,
    ( sk_c6 = inverse(sk_c3)
    | sk_c5 = multiply(sk_c2,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).

fof(f21,axiom,
    ( sk_c6 = inverse(sk_c3)
    | sk_c6 = multiply(sk_c7,sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).

fof(f11,axiom,
    ( sk_c6 = inverse(sk_c3)
    | sk_c6 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).

fof(f6,axiom,
    ( sk_c6 = inverse(sk_c3)
    | multiply(sk_c7,sk_c6) = sk_c5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).

fof(f25,axiom,
    ( sk_c5 = multiply(sk_c2,sk_c7)
    | sk_c7 = multiply(sk_c3,sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).

fof(f2166,plain,
    ( sk_c7 = inverse(sk_c1)
    | ~ spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f16,f44,f3,f63,f26,f22,f21,f11,f7,f6,f31,f32,f60,f396,f392,f553,f541,f25,f20,f10,f5,f33,f30,f29,f418,f573,f571,f586,f391,f401,f594,f595,f597,f598,f591,f603,f604,f592,f600,f593,f584,f658,f659,f661,f4,f588,f745,f746,f743,f789,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f19,f24,f9,f14,f34,f657,f42,f13,f28,f17,f18,f2162,f27,f12,f23,f8,f15]) ).

fof(f15,axiom,
    ( sk_c7 = inverse(sk_c1)
    | sk_c7 = multiply(sk_c3,sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).

fof(f8,axiom,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | multiply(sk_c7,sk_c6) = sk_c5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).

fof(f23,axiom,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | sk_c6 = multiply(sk_c7,sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).

fof(f12,axiom,
    ( sk_c6 = inverse(sk_c4)
    | sk_c6 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).

fof(f27,axiom,
    ( sk_c6 = inverse(sk_c4)
    | sk_c5 = multiply(sk_c2,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).

fof(f2162,plain,
    ( sk_c7 = inverse(sk_c1)
    | ~ spl0_2 ),
    inference(global_subsumption,[],[f15,f1,f2,f16,f44,f3,f63,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f541,f25,f23,f20,f10,f8,f5,f33,f30,f29,f418,f573,f571,f586,f391,f401,f594,f595,f597,f598,f591,f603,f604,f592,f600,f593,f584,f658,f659,f661,f4,f588,f745,f746,f743,f789,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f19,f24,f9,f14,f34,f657,f42,f13,f28,f17,f18]) ).

fof(f18,axiom,
    ( sk_c7 = inverse(sk_c1)
    | sk_c6 = multiply(sk_c4,sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).

fof(f17,axiom,
    ( sk_c7 = inverse(sk_c1)
    | sk_c6 = inverse(sk_c4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).

fof(f28,axiom,
    ( sk_c5 = multiply(sk_c2,sk_c7)
    | sk_c6 = multiply(sk_c4,sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).

fof(f13,axiom,
    ( sk_c6 = multiply(sk_c1,sk_c7)
    | sk_c6 = multiply(sk_c4,sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).

fof(f42,plain,
    ( sk_c7 = inverse(sk_c1)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f40]) ).

fof(f40,plain,
    ( spl0_2
  <=> sk_c7 = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f657,plain,
    ( sk_c1 = inverse(sk_c7)
    | ~ spl0_2 ),
    inference(superposition,[],[f584,f392]) ).

fof(f1408,plain,
    ( identity = multiply(sk_c2,sk_c7)
    | ~ spl0_5 ),
    inference(superposition,[],[f1323,f185]) ).

fof(f1388,plain,
    ( sk_c2 = inverse(sk_c7)
    | ~ spl0_5 ),
    inference(superposition,[],[f1343,f185]) ).

fof(f561,plain,
    ( sk_c2 = multiply(inverse(sk_c7),identity)
    | ~ spl0_5 ),
    inference(superposition,[],[f60,f560]) ).

fof(f558,plain,
    ( sk_c2 = multiply(inverse(sk_c7),identity)
    | ~ spl0_5 ),
    inference(superposition,[],[f392,f185]) ).

fof(f559,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c2,X0)) = X0
    | ~ spl0_5 ),
    inference(superposition,[],[f60,f185]) ).

fof(f563,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c2,X0)) = X0
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f562,f1]) ).

fof(f562,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c2,X0))
    | ~ spl0_5 ),
    inference(superposition,[],[f3,f560]) ).

fof(f1320,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(sk_c7),X0)
    | ~ spl0_5 ),
    inference(superposition,[],[f407,f185]) ).

fof(f1757,plain,
    ( sk_c6 = multiply(sk_c1,identity)
    | sk_c6 = inverse(sk_c4)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f12,f846]) ).

fof(f1715,plain,
    ( identity = multiply(identity,sk_c2)
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(superposition,[],[f560,f846]) ).

fof(f34,axiom,
    ! [X3,X6,X4,X5] :
      ( sk_c7 != inverse(X3)
      | sk_c7 != inverse(X4)
      | sk_c6 != inverse(X5)
      | sk_c6 != inverse(X6)
      | sk_c5 != multiply(sk_c6,sk_c7)
      | sk_c5 != multiply(X4,sk_c7)
      | sk_c7 != multiply(X5,sk_c6)
      | sk_c6 != multiply(sk_c7,sk_c5)
      | sk_c6 != multiply(X6,sk_c5)
      | sk_c6 != multiply(X3,sk_c7)
      | multiply(sk_c7,sk_c6) != sk_c5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).

fof(f14,axiom,
    ( sk_c7 = inverse(sk_c1)
    | sk_c5 = multiply(sk_c6,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).

fof(f9,axiom,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | sk_c6 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).

fof(f24,axiom,
    ( sk_c5 = multiply(sk_c2,sk_c7)
    | sk_c5 = multiply(sk_c6,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).

fof(f19,axiom,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | sk_c6 = multiply(sk_c7,sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).

fof(f1426,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
    inference(superposition,[],[f3,f1323]) ).

fof(f1445,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(forward_demodulation,[],[f1424,f1]) ).

fof(f1424,plain,
    ! [X0,X1] : multiply(identity,X1) = multiply(X0,multiply(inverse(X0),X1)),
    inference(superposition,[],[f3,f1323]) ).

fof(f1414,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
    inference(superposition,[],[f1323,f3]) ).

fof(f1323,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f407,f2]) ).

fof(f1399,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f2,f1343]) ).

fof(f1398,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f60,f1343]) ).

fof(f1343,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(superposition,[],[f1324,f392]) ).

fof(f1383,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(forward_demodulation,[],[f1367,f1324]) ).

fof(f1367,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,identity),
    inference(superposition,[],[f407,f1324]) ).

fof(f1353,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(superposition,[],[f392,f1324]) ).

fof(f1375,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(forward_demodulation,[],[f1351,f1324]) ).

fof(f1351,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,identity),
    inference(superposition,[],[f1324,f407]) ).

fof(f1324,plain,
    ! [X0] : multiply(X0,identity) = X0,
    inference(superposition,[],[f407,f392]) ).

fof(f1335,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f60,f407]) ).

fof(f1333,plain,
    ! [X0] : multiply(X0,identity) = X0,
    inference(superposition,[],[f392,f407]) ).

fof(f1331,plain,
    ! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
    inference(superposition,[],[f60,f407]) ).

fof(f1330,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f2,f407]) ).

fof(f1326,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f407,f60]) ).

fof(f407,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
    inference(superposition,[],[f60,f60]) ).

fof(f1293,plain,
    ! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f1284,f1]) ).

fof(f1284,plain,
    ! [X0,X1] : multiply(identity,X1) = multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)),
    inference(superposition,[],[f3,f542]) ).

fof(f1283,plain,
    ! [X0] : multiply(inverse(inverse(inverse(inverse(X0)))),identity) = X0,
    inference(superposition,[],[f60,f542]) ).

fof(f542,plain,
    ! [X0] : identity = multiply(inverse(inverse(inverse(X0))),X0),
    inference(superposition,[],[f60,f392]) ).

fof(f1242,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c2,X0)) = X0
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1240,f1]) ).

fof(f1240,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(identity,multiply(sk_c2,X0))
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(superposition,[],[f3,f1219]) ).

fof(f1241,plain,
    ( identity = sk_c2
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1239,f2]) ).

fof(f1239,plain,
    ( sk_c2 = multiply(inverse(identity),identity)
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(superposition,[],[f60,f1219]) ).

fof(f1238,plain,
    ( identity = sk_c2
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(superposition,[],[f1,f1219]) ).

fof(f1219,plain,
    ( identity = multiply(identity,sk_c2)
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(superposition,[],[f560,f846]) ).

fof(f789,plain,
    ( identity = sk_c6
    | sk_c5 = multiply(sk_c6,sk_c7)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f9,f591]) ).

fof(f743,plain,
    identity = inverse(identity),
    inference(superposition,[],[f588,f2]) ).

fof(f746,plain,
    ! [X0] : multiply(inverse(inverse(inverse(identity))),X0) = X0,
    inference(superposition,[],[f60,f588]) ).

fof(f745,plain,
    identity = inverse(identity),
    inference(superposition,[],[f2,f588]) ).

fof(f588,plain,
    ! [X0] : multiply(inverse(inverse(identity)),X0) = X0,
    inference(superposition,[],[f60,f391]) ).

fof(f4,axiom,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | multiply(sk_c7,sk_c6) = sk_c5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).

fof(f661,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(inverse(inverse(sk_c7))),X0)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f660,f1]) ).

fof(f660,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(inverse(inverse(sk_c7))),multiply(identity,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f584]) ).

fof(f659,plain,
    ( identity = multiply(inverse(inverse(inverse(inverse(sk_c7)))),sk_c1)
    | ~ spl0_2 ),
    inference(superposition,[],[f60,f584]) ).

fof(f658,plain,
    ( sk_c1 = inverse(sk_c7)
    | ~ spl0_2 ),
    inference(superposition,[],[f392,f584]) ).

fof(f584,plain,
    ( sk_c1 = multiply(inverse(inverse(inverse(sk_c7))),identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f60,f571]) ).

fof(f593,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c7,X0)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f401,f60]) ).

fof(f600,plain,
    ( sk_c7 = multiply(sk_c7,identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f63,f591]) ).

fof(f592,plain,
    ( sk_c1 = multiply(sk_c1,identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f401,f418]) ).

fof(f604,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c7,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f602,f1]) ).

fof(f602,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c1,multiply(sk_c7,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f591]) ).

fof(f603,plain,
    ( sk_c7 = multiply(sk_c7,identity)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f601,f42]) ).

fof(f601,plain,
    ( sk_c7 = multiply(inverse(sk_c1),identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f60,f591]) ).

fof(f591,plain,
    ( identity = multiply(sk_c1,sk_c7)
    | ~ spl0_2 ),
    inference(superposition,[],[f401,f2]) ).

fof(f598,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c7,X0)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f60,f401]) ).

fof(f597,plain,
    ( sk_c1 = multiply(sk_c1,identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f418,f401]) ).

fof(f595,plain,
    ( ! [X0] : multiply(inverse(inverse(sk_c7)),multiply(sk_c1,X0)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f60,f401]) ).

fof(f594,plain,
    ( identity = multiply(sk_c1,sk_c7)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f401]) ).

fof(f401,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c7),X0)
    | ~ spl0_2 ),
    inference(superposition,[],[f60,f63]) ).

fof(f391,plain,
    ! [X0] : multiply(inverse(identity),X0) = X0,
    inference(superposition,[],[f60,f1]) ).

fof(f586,plain,
    ( ! [X0] : multiply(inverse(inverse(sk_c7)),multiply(sk_c1,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f585,f1]) ).

fof(f585,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(sk_c7)),multiply(sk_c1,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f571]) ).

fof(f571,plain,
    ( identity = multiply(inverse(inverse(sk_c7)),sk_c1)
    | ~ spl0_2 ),
    inference(superposition,[],[f60,f418]) ).

fof(f573,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c7),X0)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f572,f1]) ).

fof(f572,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c7),multiply(identity,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f418]) ).

fof(f418,plain,
    ( sk_c1 = multiply(inverse(sk_c7),identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f60,f44]) ).

fof(f560,plain,
    ( identity = multiply(sk_c7,sk_c2)
    | ~ spl0_5 ),
    inference(superposition,[],[f2,f185]) ).

fof(f185,plain,
    ( sk_c7 = inverse(sk_c2)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f183]) ).

fof(f183,plain,
    ( spl0_5
  <=> sk_c7 = inverse(sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f29,axiom,
    ( sk_c7 = inverse(sk_c2)
    | sk_c5 = multiply(sk_c6,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).

fof(f30,axiom,
    ( sk_c7 = inverse(sk_c2)
    | sk_c7 = multiply(sk_c3,sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).

fof(f33,axiom,
    ( sk_c7 = inverse(sk_c2)
    | sk_c6 = multiply(sk_c4,sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).

fof(f541,plain,
    ( sk_c1 = multiply(inverse(sk_c7),identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f392,f42]) ).

fof(f553,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
    inference(forward_demodulation,[],[f543,f1]) ).

fof(f543,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),multiply(identity,X1)),
    inference(superposition,[],[f3,f392]) ).

fof(f392,plain,
    ! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[],[f60,f2]) ).

fof(f396,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
    inference(superposition,[],[f60,f3]) ).

fof(f60,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f52,f1]) ).

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

fof(f32,axiom,
    ( sk_c7 = inverse(sk_c2)
    | sk_c6 = inverse(sk_c4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).

fof(f31,axiom,
    ( sk_c7 = inverse(sk_c2)
    | sk_c6 = inverse(sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).

fof(f63,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c1,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f58,f1]) ).

fof(f58,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c1,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f44]) ).

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

fof(f44,plain,
    ( identity = multiply(sk_c7,sk_c1)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f42]) ).

fof(f16,axiom,
    ( sk_c7 = inverse(sk_c1)
    | sk_c6 = inverse(sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).

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

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

fof(f2303,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_4
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2302]) ).

fof(f2302,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_4
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f2301,f1,f2,f16,f44,f3,f63,f31,f32,f60,f396,f392,f553,f541,f33,f30,f29,f185,f560,f418,f573,f571,f586,f391,f401,f594,f595,f597,f598,f591,f603,f604,f592,f600,f593,f584,f658,f659,f661,f4,f588,f745,f746,f743,f789,f1219,f1238,f1241,f1242,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f19,f24,f9,f14,f34,f1715,f1757,f180,f1320,f563,f559,f558,f561,f1388,f1408,f657,f42,f13,f28,f17,f18,f2162,f27,f12,f23,f8,f15,f2166,f25,f6,f11,f21,f26,f10,f20,f5,f22,f7,f2002,f2000,f846,f2174,f849,f574,f2185,f2186,f2001,f1237,f2266,f2270,f2293]) ).

fof(f2301,plain,
    ( sk_c6 = inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10 ),
    inference(subsumption_resolution,[],[f2300,f849]) ).

fof(f2300,plain,
    ( identity = sk_c6
    | sk_c6 = inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2299,f1726]) ).

fof(f1726,plain,
    ( sk_c6 = sk_c5
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1725,f626]) ).

fof(f626,plain,
    ( sk_c6 = multiply(sk_c6,identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f175,f617]) ).

fof(f617,plain,
    ( identity = multiply(sk_c3,sk_c6)
    | ~ spl0_1 ),
    inference(superposition,[],[f402,f2]) ).

fof(f402,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(sk_c6),X0)
    | ~ spl0_1 ),
    inference(superposition,[],[f60,f175]) ).

fof(f175,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c3,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f174,f1]) ).

fof(f174,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c3,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f173]) ).

fof(f173,plain,
    ( identity = multiply(sk_c6,sk_c3)
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f38]) ).

fof(f38,plain,
    ( sk_c6 = inverse(sk_c3)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f36]) ).

fof(f36,plain,
    ( spl0_1
  <=> sk_c6 = inverse(sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f1725,plain,
    ( sk_c5 = multiply(sk_c6,identity)
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f669,f846]) ).

fof(f669,plain,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f667]) ).

fof(f667,plain,
    ( spl0_8
  <=> sk_c5 = multiply(sk_c6,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f2299,plain,
    ( identity = sk_c5
    | sk_c6 = inverse(sk_c4)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2298,f1]) ).

fof(f2298,plain,
    ( sk_c5 = multiply(identity,identity)
    | sk_c6 = inverse(sk_c4)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2297,f2001]) ).

fof(f2297,plain,
    ( sk_c5 = multiply(sk_c1,identity)
    | sk_c6 = inverse(sk_c4)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2296,f574]) ).

fof(f2296,plain,
    ( sk_c5 = multiply(sk_c2,identity)
    | sk_c6 = inverse(sk_c4)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f27,f846]) ).

fof(f2295,plain,
    ( ~ spl0_2
    | spl0_4
    | ~ spl0_5
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2294]) ).

fof(f2294,plain,
    ( $false
    | ~ spl0_2
    | spl0_4
    | ~ spl0_5
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f16,f44,f3,f63,f31,f32,f60,f396,f392,f553,f541,f33,f30,f29,f185,f560,f418,f573,f571,f586,f391,f401,f594,f595,f597,f598,f591,f603,f604,f592,f600,f593,f584,f658,f659,f661,f4,f588,f745,f746,f743,f789,f1219,f1238,f1241,f1242,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f19,f24,f9,f14,f34,f1715,f1757,f180,f1320,f563,f559,f558,f561,f1388,f1408,f657,f42,f13,f28,f17,f18,f2162,f27,f12,f23,f8,f15,f2166,f25,f6,f11,f21,f26,f10,f20,f5,f22,f7,f2002,f2000,f846,f2174,f849,f574,f2185,f2186,f2001,f1237,f2266,f2270,f2293]) ).

fof(f2287,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2286]) ).

fof(f2286,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10 ),
    inference(subsumption_resolution,[],[f2285,f849]) ).

fof(f2285,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10 ),
    inference(forward_demodulation,[],[f2284,f2266]) ).

fof(f2284,plain,
    ( sk_c6 = multiply(sk_c3,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10 ),
    inference(forward_demodulation,[],[f2283,f567]) ).

fof(f567,plain,
    ( sk_c3 = sk_c4
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f416,f415]) ).

fof(f415,plain,
    ( sk_c3 = multiply(inverse(sk_c6),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f60,f173]) ).

fof(f416,plain,
    ( sk_c4 = multiply(inverse(sk_c6),identity)
    | ~ spl0_4 ),
    inference(superposition,[],[f60,f187]) ).

fof(f187,plain,
    ( identity = multiply(sk_c6,sk_c4)
    | ~ spl0_4 ),
    inference(superposition,[],[f2,f181]) ).

fof(f181,plain,
    ( sk_c6 = inverse(sk_c4)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f179]) ).

fof(f2283,plain,
    ( sk_c6 = multiply(sk_c4,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10 ),
    inference(forward_demodulation,[],[f2282,f1726]) ).

fof(f2282,plain,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | spl0_10 ),
    inference(subsumption_resolution,[],[f2281,f849]) ).

fof(f2281,plain,
    ( identity = sk_c6
    | sk_c6 = multiply(sk_c4,sk_c5)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2280,f1]) ).

fof(f2280,plain,
    ( sk_c6 = multiply(identity,identity)
    | sk_c6 = multiply(sk_c4,sk_c5)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2279,f2001]) ).

fof(f2279,plain,
    ( sk_c6 = multiply(sk_c1,identity)
    | sk_c6 = multiply(sk_c4,sk_c5)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f13,f846]) ).

fof(f2160,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2159]) ).

fof(f2159,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_9 ),
    inference(global_subsumption,[],[f17,f15,f18,f1,f2,f16,f37,f44,f45,f46,f47,f48,f49,f50,f3,f54,f55,f56,f57,f63,f65,f69,f70,f71,f72,f64,f75,f78,f79,f84,f77,f90,f92,f94,f89,f96,f97,f106,f99,f108,f103,f104,f102,f112,f107,f95,f110,f130,f125,f132,f142,f147,f148,f153,f166,f123,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f541,f28,f25,f23,f20,f13,f10,f8,f5,f33,f30,f29,f418,f573,f571,f586,f391,f401,f594,f595,f597,f598,f591,f603,f604,f592,f600,f593,f584,f658,f659,f661,f4,f588,f745,f746,f743,f789,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f19,f24,f9,f14,f34,f137,f68,f2005,f2004,f138,f42,f657,f845]) ).

fof(f845,plain,
    ( identity != sk_c7
    | spl0_9 ),
    inference(avatar_component_clause,[],[f844]) ).

fof(f138,plain,
    ( identity = sk_c2
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f125,f46]) ).

fof(f2004,plain,
    ( identity = sk_c7
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f166,f743]) ).

fof(f2005,plain,
    ( identity = sk_c7
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f153,f743]) ).

fof(f68,plain,
    ( sk_c7 = sk_c5
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f65,f47]) ).

fof(f137,plain,
    ( identity = sk_c1
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f125,f44]) ).

fof(f123,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != multiply(X3,sk_c7)
        | sk_c7 != multiply(X5,sk_c7)
        | sk_c7 != inverse(X6)
        | sk_c7 != inverse(X5)
        | sk_c7 != multiply(X6,sk_c7)
        | sk_c7 != multiply(X4,sk_c7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f122,f77]) ).

fof(f122,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != multiply(X5,sk_c7)
        | sk_c7 != inverse(X6)
        | sk_c7 != inverse(X5)
        | sk_c7 != multiply(X6,sk_c7)
        | sk_c7 != multiply(X4,sk_c7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(X3,sk_c7) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f121,f77]) ).

fof(f121,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != inverse(X6)
        | sk_c7 != inverse(X5)
        | sk_c7 != multiply(X6,sk_c7)
        | sk_c7 != multiply(X4,sk_c7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c7 != multiply(X5,sk_c6)
        | sk_c6 != multiply(X3,sk_c7) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f120,f77]) ).

fof(f120,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != inverse(X5)
        | sk_c7 != multiply(X6,sk_c7)
        | sk_c7 != multiply(X4,sk_c7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c6 != inverse(X6)
        | sk_c7 != multiply(X5,sk_c6)
        | sk_c6 != multiply(X3,sk_c7) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f119,f77]) ).

fof(f119,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != multiply(X6,sk_c7)
        | sk_c7 != multiply(X4,sk_c7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c6 != inverse(X5)
        | sk_c6 != inverse(X6)
        | sk_c7 != multiply(X5,sk_c6)
        | sk_c6 != multiply(X3,sk_c7) )
    | spl0_1
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f118,f75]) ).

fof(f118,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != multiply(sk_c7,sk_c7)
        | sk_c7 != multiply(X6,sk_c7)
        | sk_c7 != multiply(X4,sk_c7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c6 != inverse(X5)
        | sk_c6 != inverse(X6)
        | sk_c7 != multiply(X5,sk_c6)
        | sk_c6 != multiply(X3,sk_c7) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f117,f77]) ).

fof(f117,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != multiply(X6,sk_c7)
        | sk_c7 != multiply(X4,sk_c7)
        | sk_c7 != multiply(sk_c6,sk_c7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c6 != inverse(X5)
        | sk_c6 != inverse(X6)
        | sk_c7 != multiply(X5,sk_c6)
        | sk_c6 != multiply(X3,sk_c7) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f84,f77]) ).

fof(f166,plain,
    ( sk_c7 = inverse(identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f45,f138]) ).

fof(f153,plain,
    ( sk_c7 = inverse(identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f42,f137]) ).

fof(f148,plain,
    ( identity = sk_c2
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f46,f125]) ).

fof(f147,plain,
    ( identity = sk_c1
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f44,f125]) ).

fof(f142,plain,
    ( ! [X0] : multiply(sk_c2,X0) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f64,f125]) ).

fof(f132,plain,
    ( ! [X0] : multiply(sk_c2,X0) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f125,f64]) ).

fof(f125,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f63,f95]) ).

fof(f130,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f129,f1]) ).

fof(f129,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(identity,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f110]) ).

fof(f110,plain,
    ( identity = multiply(sk_c7,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f63,f102]) ).

fof(f95,plain,
    ( ! [X0] : multiply(sk_c1,X0) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f89,f63]) ).

fof(f107,plain,
    ( sk_c7 = multiply(sk_c1,sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f100,f68]) ).

fof(f100,plain,
    ( sk_c5 = multiply(sk_c1,sk_c5)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f89,f47]) ).

fof(f112,plain,
    ( ! [X0] : multiply(sk_c1,X0) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f111,f1]) ).

fof(f111,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c1,multiply(identity,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f102]) ).

fof(f102,plain,
    ( identity = multiply(sk_c1,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f89,f44]) ).

fof(f104,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c7,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f63,f89]) ).

fof(f103,plain,
    ( identity = multiply(sk_c1,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f89,f46]) ).

fof(f108,plain,
    ( sk_c7 = multiply(sk_c1,sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f101,f77]) ).

fof(f101,plain,
    ( sk_c6 = multiply(sk_c1,sk_c6)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f89,f49]) ).

fof(f99,plain,
    ( sk_c7 = multiply(sk_c1,sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f89,f65]) ).

fof(f106,plain,
    ( sk_c7 = multiply(sk_c1,sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f98,f77]) ).

fof(f98,plain,
    ( sk_c6 = multiply(sk_c1,sk_c6)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f89,f71]) ).

fof(f97,plain,
    ( sk_c7 = multiply(sk_c1,sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f89,f75]) ).

fof(f96,plain,
    ( ! [X0] : multiply(sk_c1,X0) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f89,f64]) ).

fof(f89,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c1,multiply(sk_c7,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f54,f77]) ).

fof(f94,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c7,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f93,f77]) ).

fof(f93,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c7,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f57,f68]) ).

fof(f92,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c7,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f91,f68]) ).

fof(f91,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c7,multiply(sk_c7,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f56,f77]) ).

fof(f90,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c2,multiply(sk_c7,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f55,f68]) ).

fof(f77,plain,
    ( sk_c7 = sk_c6
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f75,f71]) ).

fof(f84,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c6 != multiply(X6,sk_c7)
        | sk_c7 != multiply(X4,sk_c7)
        | sk_c7 != multiply(sk_c6,sk_c7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c6 != inverse(X5)
        | sk_c6 != inverse(X6)
        | sk_c7 != multiply(X5,sk_c6)
        | sk_c6 != multiply(X3,sk_c7) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f83,f68]) ).

fof(f83,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != multiply(X4,sk_c7)
        | sk_c7 != multiply(sk_c6,sk_c7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c6 != inverse(X5)
        | sk_c6 != inverse(X6)
        | sk_c7 != multiply(X5,sk_c6)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f82,f68]) ).

fof(f82,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != multiply(sk_c6,sk_c7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c6 != inverse(X5)
        | sk_c6 != inverse(X6)
        | sk_c5 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X5,sk_c6)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f81,f68]) ).

fof(f81,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c6 != inverse(X5)
        | sk_c6 != inverse(X6)
        | sk_c5 != multiply(sk_c6,sk_c7)
        | sk_c5 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X5,sk_c6)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7) )
    | spl0_1 ),
    inference(subsumption_resolution,[],[f80,f47]) ).

fof(f80,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c6 != inverse(X5)
        | sk_c6 != inverse(X6)
        | sk_c5 != multiply(sk_c6,sk_c7)
        | sk_c5 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X5,sk_c6)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | multiply(sk_c7,sk_c6) != sk_c5 )
    | spl0_1 ),
    inference(subsumption_resolution,[],[f34,f49]) ).

fof(f79,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c7,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f75]) ).

fof(f78,plain,
    ( sk_c7 = sk_c6
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f71,f75]) ).

fof(f75,plain,
    ( sk_c7 = multiply(sk_c7,sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f73,f68]) ).

fof(f73,plain,
    ( sk_c7 = multiply(sk_c7,sk_c5)
    | spl0_1 ),
    inference(superposition,[],[f64,f50]) ).

fof(f64,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c2,X0)) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f59,f1]) ).

fof(f59,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c2,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f46]) ).

fof(f72,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c7,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f71]) ).

fof(f71,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f49,f68]) ).

fof(f70,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c6,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f65]) ).

fof(f69,plain,
    ( sk_c7 = sk_c5
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f47,f65]) ).

fof(f65,plain,
    ( sk_c7 = multiply(sk_c7,sk_c6)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f63,f48]) ).

fof(f57,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c5,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f49]) ).

fof(f56,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c7,multiply(sk_c6,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f47]) ).

fof(f55,plain,
    ( ! [X0] : multiply(sk_c2,multiply(sk_c7,X0)) = multiply(sk_c5,X0)
    | spl0_1 ),
    inference(superposition,[],[f3,f50]) ).

fof(f54,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c7,X0)) = multiply(sk_c6,X0)
    | spl0_1 ),
    inference(superposition,[],[f3,f48]) ).

fof(f50,plain,
    ( sk_c5 = multiply(sk_c2,sk_c7)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f26,f37]) ).

fof(f49,plain,
    ( sk_c6 = multiply(sk_c7,sk_c5)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f21,f37]) ).

fof(f48,plain,
    ( sk_c6 = multiply(sk_c1,sk_c7)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f11,f37]) ).

fof(f47,plain,
    ( multiply(sk_c7,sk_c6) = sk_c5
    | spl0_1 ),
    inference(subsumption_resolution,[],[f6,f37]) ).

fof(f46,plain,
    ( identity = multiply(sk_c7,sk_c2)
    | spl0_1 ),
    inference(superposition,[],[f2,f45]) ).

fof(f45,plain,
    ( sk_c7 = inverse(sk_c2)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f31,f37]) ).

fof(f37,plain,
    ( sk_c6 != inverse(sk_c3)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f36]) ).

fof(f2158,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2157]) ).

fof(f2157,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f2156,f17,f15,f18,f1,f2,f16,f37,f44,f45,f46,f47,f48,f49,f50,f3,f54,f55,f56,f57,f63,f65,f69,f70,f71,f72,f64,f75,f78,f79,f84,f77,f90,f92,f94,f89,f96,f97,f106,f99,f108,f103,f104,f102,f112,f107,f95,f110,f130,f125,f132,f142,f147,f148,f153,f166,f123,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f541,f28,f25,f23,f20,f13,f10,f8,f5,f33,f30,f29,f418,f573,f571,f586,f391,f401,f594,f595,f597,f598,f591,f603,f604,f592,f600,f593,f584,f658,f659,f661,f4,f588,f745,f746,f743,f789,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f845,f19,f24,f9,f14,f34,f137,f68,f2005,f2004,f138,f42,f657]) ).

fof(f2156,plain,
    ( sk_c7 = multiply(sk_c3,identity)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1093,f850]) ).

fof(f850,plain,
    ( identity = sk_c6
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f848]) ).

fof(f1093,plain,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1092,f845]) ).

fof(f1092,plain,
    ( identity = sk_c7
    | sk_c7 = multiply(sk_c3,sk_c6)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1091,f881]) ).

fof(f881,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f864,f600]) ).

fof(f864,plain,
    ( sk_c5 = multiply(sk_c7,identity)
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(superposition,[],[f665,f850]) ).

fof(f665,plain,
    ( multiply(sk_c7,sk_c6) = sk_c5
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f663]) ).

fof(f663,plain,
    ( spl0_7
  <=> multiply(sk_c7,sk_c6) = sk_c5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f1091,plain,
    ( identity = sk_c5
    | sk_c7 = multiply(sk_c3,sk_c6)
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f1090,f591]) ).

fof(f1090,plain,
    ( sk_c5 = multiply(sk_c1,sk_c7)
    | sk_c7 = multiply(sk_c3,sk_c6)
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f25,f574]) ).

fof(f2155,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2154]) ).

fof(f2154,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_9 ),
    inference(global_subsumption,[],[f1388,f17,f15,f18,f1,f2,f16,f37,f44,f45,f46,f47,f48,f49,f50,f3,f54,f55,f56,f57,f63,f65,f69,f70,f71,f72,f64,f75,f78,f79,f84,f77,f90,f92,f94,f89,f96,f97,f106,f99,f108,f103,f104,f102,f112,f107,f95,f110,f130,f125,f132,f142,f147,f148,f153,f166,f123,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f541,f28,f25,f23,f20,f13,f10,f8,f5,f33,f30,f29,f418,f573,f571,f586,f391,f401,f594,f595,f597,f598,f591,f603,f604,f592,f600,f593,f584,f658,f659,f661,f4,f588,f745,f746,f743,f789,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f845,f19,f24,f9,f14,f34,f137,f68,f2005,f2004,f138,f42,f657]) ).

fof(f2153,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2152]) ).

fof(f2152,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f2151,f17,f15,f18,f1,f2,f16,f37,f44,f45,f46,f47,f48,f49,f50,f3,f54,f55,f56,f57,f63,f65,f69,f70,f71,f72,f64,f75,f78,f79,f84,f77,f90,f92,f94,f89,f96,f97,f106,f99,f108,f103,f104,f102,f112,f107,f95,f110,f130,f125,f132,f142,f147,f148,f153,f166,f123,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f541,f28,f25,f23,f20,f13,f10,f8,f5,f33,f30,f29,f418,f573,f571,f586,f391,f401,f594,f595,f597,f598,f591,f603,f604,f592,f600,f593,f584,f658,f659,f661,f4,f588,f745,f746,f743,f789,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f845,f19,f24,f9,f14,f34,f137,f68,f2005,f2004,f138,f42,f657]) ).

fof(f2151,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2150,f1]) ).

fof(f2150,plain,
    ( sk_c5 = multiply(identity,sk_c7)
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f669,f850]) ).

fof(f2149,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2148]) ).

fof(f2148,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f2147,f17,f15,f18,f1,f2,f16,f37,f44,f45,f46,f47,f48,f49,f50,f3,f54,f55,f56,f57,f63,f65,f69,f70,f71,f72,f64,f75,f78,f79,f84,f77,f90,f92,f94,f89,f96,f97,f106,f99,f108,f103,f104,f102,f112,f107,f95,f110,f130,f125,f132,f142,f147,f148,f153,f166,f123,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f541,f28,f25,f23,f20,f13,f10,f8,f5,f33,f30,f29,f418,f573,f571,f586,f391,f401,f594,f595,f597,f598,f591,f603,f604,f592,f600,f593,f584,f658,f659,f661,f4,f588,f745,f746,f743,f789,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f845,f19,f24,f9,f14,f34,f137,f68,f2005,f2004,f138,f42,f657]) ).

fof(f2147,plain,
    ( identity = sk_c5
    | identity = multiply(sk_c1,sk_c7)
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2146,f850]) ).

fof(f2146,plain,
    ( sk_c6 = sk_c5
    | identity = multiply(sk_c1,sk_c7)
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2145,f1]) ).

fof(f2145,plain,
    ( sk_c6 = multiply(identity,sk_c5)
    | identity = multiply(sk_c1,sk_c7)
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2144,f1915]) ).

fof(f1915,plain,
    ( identity = sk_c4
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1914,f743]) ).

fof(f1914,plain,
    ( sk_c4 = inverse(identity)
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1387,f850]) ).

fof(f1387,plain,
    ( sk_c4 = inverse(sk_c6)
    | ~ spl0_4 ),
    inference(superposition,[],[f1343,f181]) ).

fof(f2144,plain,
    ( identity = multiply(sk_c1,sk_c7)
    | sk_c6 = multiply(sk_c4,sk_c5)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f13,f850]) ).

fof(f2143,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2142]) ).

fof(f2142,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f2141,f17,f15,f18,f1,f2,f16,f37,f44,f45,f46,f47,f48,f49,f50,f3,f54,f55,f56,f57,f63,f65,f69,f70,f71,f72,f64,f75,f78,f79,f84,f77,f90,f92,f94,f89,f96,f97,f106,f99,f108,f103,f104,f102,f112,f107,f95,f110,f130,f125,f132,f142,f147,f148,f153,f166,f123,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f541,f28,f25,f23,f20,f13,f10,f8,f5,f33,f30,f29,f418,f573,f571,f586,f391,f401,f594,f595,f597,f598,f591,f603,f604,f592,f600,f593,f584,f658,f659,f661,f4,f588,f745,f746,f743,f789,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f845,f19,f24,f9,f14,f34,f137,f68,f2005,f2004,f138,f42,f657]) ).

fof(f2141,plain,
    ( identity = sk_c5
    | sk_c5 = multiply(sk_c2,sk_c7)
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2140,f850]) ).

fof(f2140,plain,
    ( sk_c6 = sk_c5
    | sk_c5 = multiply(sk_c2,sk_c7)
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2139,f1]) ).

fof(f2139,plain,
    ( sk_c6 = multiply(identity,sk_c5)
    | sk_c5 = multiply(sk_c2,sk_c7)
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f28,f1915]) ).

fof(f2136,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2135]) ).

fof(f2135,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f2134,f17,f15,f18,f1,f2,f16,f37,f44,f45,f46,f47,f48,f49,f50,f3,f54,f55,f56,f57,f63,f65,f69,f70,f71,f72,f64,f75,f78,f79,f84,f77,f90,f92,f94,f89,f96,f97,f106,f99,f108,f103,f104,f102,f112,f107,f95,f110,f130,f125,f132,f142,f147,f148,f153,f166,f123,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f541,f28,f25,f23,f20,f13,f10,f8,f5,f33,f30,f29,f418,f573,f571,f586,f391,f401,f594,f595,f597,f598,f591,f603,f604,f592,f600,f593,f584,f658,f659,f661,f4,f588,f745,f746,f743,f789,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f845,f19,f24,f9,f14,f34,f137,f68,f2005,f2004,f138,f42,f657]) ).

fof(f2134,plain,
    ( identity = multiply(identity,sk_c5)
    | sk_c7 = inverse(sk_c1)
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2133,f850]) ).

fof(f2133,plain,
    ( sk_c6 = multiply(identity,sk_c5)
    | sk_c7 = inverse(sk_c1)
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f18,f1915]) ).

fof(f2128,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2127]) ).

fof(f2127,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1618,f17,f15,f18,f1,f2,f16,f37,f44,f45,f46,f47,f48,f49,f50,f3,f54,f55,f56,f57,f63,f65,f69,f70,f71,f72,f64,f75,f78,f79,f84,f77,f90,f92,f94,f89,f96,f97,f106,f99,f108,f103,f104,f102,f112,f107,f95,f110,f130,f125,f132,f142,f147,f148,f153,f166,f123,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f541,f28,f25,f23,f20,f13,f10,f8,f5,f33,f30,f29,f418,f573,f571,f586,f391,f401,f594,f595,f597,f598,f591,f603,f604,f592,f600,f593,f584,f658,f659,f661,f4,f588,f745,f746,f743,f789,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f845,f19,f24,f9,f14,f34,f137,f68,f2005,f2004,f138,f42,f657]) ).

fof(f1618,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1202,f1324]) ).

fof(f1202,plain,
    ( sk_c5 = multiply(sk_c7,identity)
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f665,f850]) ).

fof(f2126,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2125]) ).

fof(f2125,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1615,f17,f15,f18,f1,f2,f16,f37,f44,f45,f46,f47,f48,f49,f50,f3,f54,f55,f56,f57,f63,f65,f69,f70,f71,f72,f64,f75,f78,f79,f84,f77,f90,f92,f94,f89,f96,f97,f106,f99,f108,f103,f104,f102,f112,f107,f95,f110,f130,f125,f132,f142,f147,f148,f153,f166,f123,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f541,f28,f25,f23,f20,f13,f10,f8,f5,f33,f30,f29,f418,f573,f571,f586,f391,f401,f594,f595,f597,f598,f591,f603,f604,f592,f600,f593,f584,f658,f659,f661,f4,f588,f745,f746,f743,f789,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f845,f19,f24,f9,f14,f34,f137,f68,f2005,f2004,f138,f42,f657]) ).

fof(f1615,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f864,f1324]) ).

fof(f2124,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2123]) ).

fof(f2123,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f882,f17,f15,f18,f1,f2,f16,f37,f44,f45,f46,f47,f48,f49,f50,f3,f54,f55,f56,f57,f63,f65,f69,f70,f71,f72,f64,f75,f78,f79,f84,f77,f90,f92,f94,f89,f96,f97,f106,f99,f108,f103,f104,f102,f112,f107,f95,f110,f130,f125,f132,f142,f147,f148,f153,f166,f123,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f541,f28,f25,f23,f20,f13,f10,f8,f5,f33,f30,f29,f418,f573,f571,f586,f391,f401,f594,f595,f597,f598,f591,f603,f604,f592,f600,f593,f584,f658,f659,f661,f4,f588,f745,f746,f743,f789,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f845,f19,f24,f9,f14,f34,f137,f68,f2005,f2004,f138,f42,f657]) ).

fof(f882,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f865,f1]) ).

fof(f865,plain,
    ( sk_c5 = multiply(identity,sk_c7)
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(superposition,[],[f669,f850]) ).

fof(f2122,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2121]) ).

fof(f2121,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f2120,f17,f15,f18,f1,f2,f16,f37,f44,f45,f46,f47,f48,f49,f50,f3,f54,f55,f56,f57,f63,f65,f69,f70,f71,f72,f64,f75,f78,f79,f84,f77,f90,f92,f94,f89,f96,f97,f106,f99,f108,f103,f104,f102,f112,f107,f95,f110,f130,f125,f132,f142,f147,f148,f153,f166,f123,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f541,f28,f25,f23,f20,f13,f10,f8,f5,f33,f30,f29,f418,f573,f571,f586,f391,f401,f594,f595,f597,f598,f591,f603,f604,f592,f600,f593,f584,f658,f659,f661,f4,f588,f745,f746,f743,f789,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f845,f19,f24,f9,f14,f34,f137,f68,f2005,f2004,f138,f42,f657]) ).

fof(f2120,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2119,f1]) ).

fof(f2119,plain,
    ( sk_c5 = multiply(identity,sk_c7)
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1707,f850]) ).

fof(f1707,plain,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f17,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f28,f25,f23,f20,f13,f10,f8,f5,f33,f30,f29,f391,f4,f588,f745,f746,f743,f793,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f34,f14,f9,f24,f669,f19]) ).

fof(f793,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,multiply(sk_c7,X0))
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f669]) ).

fof(f2118,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2117]) ).

fof(f2117,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f2116,f17,f15,f18,f1,f2,f16,f37,f44,f45,f46,f47,f48,f49,f50,f3,f54,f55,f56,f57,f63,f65,f69,f70,f71,f72,f64,f75,f78,f79,f84,f77,f90,f92,f94,f89,f96,f97,f106,f99,f108,f103,f104,f102,f112,f107,f95,f110,f130,f125,f132,f142,f147,f148,f153,f166,f123,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f541,f28,f25,f23,f20,f13,f10,f8,f5,f33,f30,f29,f418,f573,f571,f586,f391,f401,f594,f595,f597,f598,f591,f603,f604,f592,f600,f593,f584,f658,f659,f661,f4,f588,f745,f746,f743,f789,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f845,f19,f24,f9,f14,f34,f137,f68,f2005,f2004,f138,f42,f657]) ).

fof(f2116,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2115,f1]) ).

fof(f2115,plain,
    ( sk_c5 = multiply(identity,sk_c7)
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1708,f850]) ).

fof(f1708,plain,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f17,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f28,f25,f23,f20,f13,f10,f8,f5,f33,f30,f29,f391,f4,f588,f745,f746,f743,f793,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f34,f14,f9,f669,f19,f1707,f24]) ).

fof(f2114,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2113]) ).

fof(f2113,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f2112,f17,f15,f18,f1,f2,f16,f37,f44,f45,f46,f47,f48,f49,f50,f3,f54,f55,f56,f57,f63,f65,f69,f70,f71,f72,f64,f75,f78,f79,f84,f77,f90,f92,f94,f89,f96,f97,f106,f99,f108,f103,f104,f102,f112,f107,f95,f110,f130,f125,f132,f142,f147,f148,f153,f166,f123,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f541,f28,f25,f23,f20,f13,f10,f8,f5,f33,f30,f29,f418,f573,f571,f586,f391,f401,f594,f595,f597,f598,f591,f603,f604,f592,f600,f593,f584,f658,f659,f661,f4,f588,f745,f746,f743,f789,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f845,f19,f24,f9,f14,f34,f137,f68,f2005,f2004,f138,f42,f657]) ).

fof(f2112,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2111,f1]) ).

fof(f2111,plain,
    ( sk_c5 = multiply(identity,sk_c7)
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1709,f850]) ).

fof(f1709,plain,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f17,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f28,f25,f23,f20,f13,f10,f8,f5,f33,f30,f29,f391,f4,f588,f745,f746,f743,f793,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f34,f14,f669,f19,f1707,f24,f1708,f9]) ).

fof(f2110,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2109]) ).

fof(f2109,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f2108,f17,f15,f18,f1,f2,f16,f37,f44,f45,f46,f47,f48,f49,f50,f3,f54,f55,f56,f57,f63,f65,f69,f70,f71,f72,f64,f75,f78,f79,f84,f77,f90,f92,f94,f89,f96,f97,f106,f99,f108,f103,f104,f102,f112,f107,f95,f110,f130,f125,f132,f142,f147,f148,f153,f166,f123,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f541,f28,f25,f23,f20,f13,f10,f8,f5,f33,f30,f29,f418,f573,f571,f586,f391,f401,f594,f595,f597,f598,f591,f603,f604,f592,f600,f593,f584,f658,f659,f661,f4,f588,f745,f746,f743,f789,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f845,f19,f24,f9,f14,f34,f137,f68,f2005,f2004,f138,f42,f657]) ).

fof(f2108,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2107,f1]) ).

fof(f2107,plain,
    ( sk_c5 = multiply(identity,sk_c7)
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1710,f850]) ).

fof(f1710,plain,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f17,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f28,f25,f23,f20,f13,f10,f8,f5,f33,f30,f29,f391,f4,f588,f745,f746,f743,f793,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f34,f669,f19,f1707,f24,f1708,f9,f1709,f14]) ).

fof(f2106,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2105]) ).

fof(f2105,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_9 ),
    inference(global_subsumption,[],[f1408,f17,f15,f18,f1,f2,f16,f37,f44,f45,f46,f47,f48,f49,f50,f3,f54,f55,f56,f57,f63,f65,f69,f70,f71,f72,f64,f75,f78,f79,f84,f77,f90,f92,f94,f89,f96,f97,f106,f99,f108,f103,f104,f102,f112,f107,f95,f110,f130,f125,f132,f142,f147,f148,f153,f166,f123,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f541,f28,f25,f23,f20,f13,f10,f8,f5,f33,f30,f29,f418,f573,f571,f586,f391,f401,f594,f595,f597,f598,f591,f603,f604,f592,f600,f593,f584,f658,f659,f661,f4,f588,f745,f746,f743,f789,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f845,f19,f24,f9,f14,f34,f137,f68,f2005,f2004,f138,f42,f657]) ).

fof(f2102,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2101]) ).

fof(f2101,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f2100,f17,f15,f18,f1,f2,f16,f37,f44,f45,f46,f47,f48,f49,f50,f3,f54,f55,f56,f57,f63,f65,f69,f70,f71,f72,f64,f75,f78,f79,f84,f77,f90,f92,f94,f89,f96,f97,f106,f99,f108,f103,f104,f102,f112,f107,f95,f110,f130,f125,f132,f142,f147,f148,f153,f166,f123,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f541,f28,f25,f23,f20,f13,f10,f8,f5,f33,f30,f29,f418,f573,f571,f586,f391,f401,f594,f595,f597,f598,f591,f603,f604,f592,f600,f593,f584,f658,f659,f661,f4,f588,f745,f746,f743,f789,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f845,f19,f24,f9,f14,f34,f137,f68,f2005,f2004,f138,f42,f657]) ).

fof(f2100,plain,
    ( identity = multiply(sk_c7,sk_c5)
    | identity = sk_c5
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2099,f850]) ).

fof(f2099,plain,
    ( identity = sk_c5
    | sk_c6 = multiply(sk_c7,sk_c5)
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2098,f850]) ).

fof(f2098,plain,
    ( sk_c6 = sk_c5
    | sk_c6 = multiply(sk_c7,sk_c5)
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2097,f1]) ).

fof(f2097,plain,
    ( sk_c6 = multiply(identity,sk_c5)
    | sk_c6 = multiply(sk_c7,sk_c5)
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f23,f1915]) ).

fof(f2096,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2095]) ).

fof(f2095,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f2094,f17,f15,f18,f1,f2,f16,f37,f44,f45,f46,f47,f48,f49,f50,f3,f54,f55,f56,f57,f63,f65,f69,f70,f71,f72,f64,f75,f78,f79,f84,f77,f90,f92,f94,f89,f96,f97,f106,f99,f108,f103,f104,f102,f112,f107,f95,f110,f130,f125,f132,f142,f147,f148,f153,f166,f123,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f541,f28,f25,f23,f20,f13,f10,f8,f5,f33,f30,f29,f418,f573,f571,f586,f391,f401,f594,f595,f597,f598,f591,f603,f604,f592,f600,f593,f584,f658,f659,f661,f4,f588,f745,f746,f743,f789,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f845,f19,f24,f9,f14,f34,f137,f68,f2005,f2004,f138,f42,f657]) ).

fof(f2094,plain,
    ( sk_c7 = sk_c5
    | identity = sk_c5
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2093,f1324]) ).

fof(f2093,plain,
    ( sk_c5 = multiply(sk_c7,identity)
    | identity = sk_c5
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2092,f850]) ).

fof(f2092,plain,
    ( identity = sk_c5
    | multiply(sk_c7,sk_c6) = sk_c5
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2091,f850]) ).

fof(f2091,plain,
    ( sk_c6 = sk_c5
    | multiply(sk_c7,sk_c6) = sk_c5
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2090,f1]) ).

fof(f2090,plain,
    ( sk_c6 = multiply(identity,sk_c5)
    | multiply(sk_c7,sk_c6) = sk_c5
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f8,f1915]) ).

fof(f2089,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2088]) ).

fof(f2088,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f2087,f17,f15,f18,f1,f2,f16,f37,f44,f45,f46,f47,f48,f49,f50,f3,f54,f55,f56,f57,f63,f65,f69,f70,f71,f72,f64,f75,f78,f79,f84,f77,f90,f92,f94,f89,f96,f97,f106,f99,f108,f103,f104,f102,f112,f107,f95,f110,f130,f125,f132,f142,f147,f148,f153,f166,f123,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f541,f28,f25,f23,f20,f13,f10,f8,f5,f33,f30,f29,f418,f573,f571,f586,f391,f401,f594,f595,f597,f598,f591,f603,f604,f592,f600,f593,f584,f658,f659,f661,f4,f588,f745,f746,f743,f789,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f845,f19,f24,f9,f14,f34,f137,f68,f2005,f2004,f138,f42,f657]) ).

fof(f2087,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2086,f1324]) ).

fof(f2086,plain,
    ( sk_c5 = multiply(sk_c7,identity)
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f665,f850]) ).

fof(f2085,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2084]) ).

fof(f2084,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f2083,f17,f15,f18,f1,f2,f16,f37,f44,f45,f46,f47,f48,f49,f50,f3,f54,f55,f56,f57,f63,f65,f69,f70,f71,f72,f64,f75,f78,f79,f84,f77,f90,f92,f94,f89,f96,f97,f106,f99,f108,f103,f104,f102,f112,f107,f95,f110,f130,f125,f132,f142,f147,f148,f153,f166,f123,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f541,f28,f25,f23,f20,f13,f10,f8,f5,f33,f30,f29,f418,f573,f571,f586,f391,f401,f594,f595,f597,f598,f591,f603,f604,f592,f600,f593,f584,f658,f659,f661,f4,f588,f745,f746,f743,f789,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f845,f19,f24,f9,f14,f34,f137,f68,f2005,f2004,f138,f42,f657]) ).

fof(f2083,plain,
    ( sk_c7 = multiply(sk_c3,identity)
    | sk_c7 = inverse(sk_c1)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f15,f850]) ).

fof(f2082,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2081]) ).

fof(f2081,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f2080,f17,f15,f18,f1,f2,f16,f37,f44,f45,f46,f47,f48,f49,f50,f3,f54,f55,f56,f57,f63,f65,f69,f70,f71,f72,f64,f75,f78,f79,f84,f77,f90,f92,f94,f89,f96,f97,f106,f99,f108,f103,f104,f102,f112,f107,f95,f110,f130,f125,f132,f142,f147,f148,f153,f166,f123,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f541,f28,f25,f23,f20,f13,f10,f8,f5,f33,f30,f29,f418,f573,f571,f586,f391,f401,f594,f595,f597,f598,f591,f603,f604,f592,f600,f593,f584,f658,f659,f661,f4,f588,f745,f746,f743,f789,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f845,f19,f24,f9,f14,f34,f137,f68,f2005,f2004,f138,f42,f657]) ).

fof(f2080,plain,
    ( sk_c7 = sk_c3
    | sk_c5 = multiply(sk_c2,sk_c7)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2079,f1324]) ).

fof(f2079,plain,
    ( sk_c7 = multiply(sk_c3,identity)
    | sk_c5 = multiply(sk_c2,sk_c7)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f25,f850]) ).

fof(f2078,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2077]) ).

fof(f2077,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f2076,f17,f15,f18,f1,f2,f16,f37,f44,f45,f46,f47,f48,f49,f50,f3,f54,f55,f56,f57,f63,f65,f69,f70,f71,f72,f64,f75,f78,f79,f84,f77,f90,f92,f94,f89,f96,f97,f106,f99,f108,f103,f104,f102,f112,f107,f95,f110,f130,f125,f132,f142,f147,f148,f153,f166,f123,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f541,f28,f25,f23,f20,f13,f10,f8,f5,f33,f30,f29,f418,f573,f571,f586,f391,f401,f594,f595,f597,f598,f591,f603,f604,f592,f600,f593,f584,f658,f659,f661,f4,f588,f745,f746,f743,f789,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f845,f19,f24,f9,f14,f34,f137,f68,f2005,f2004,f138,f42,f657]) ).

fof(f2076,plain,
    ( sk_c7 = sk_c5
    | sk_c7 = multiply(sk_c3,identity)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2075,f1324]) ).

fof(f2075,plain,
    ( sk_c5 = multiply(sk_c7,identity)
    | sk_c7 = multiply(sk_c3,identity)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1955,f850]) ).

fof(f1955,plain,
    ( sk_c7 = multiply(sk_c3,identity)
    | multiply(sk_c7,sk_c6) = sk_c5
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f5,f850]) ).

fof(f2074,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2073]) ).

fof(f2073,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f2072,f17,f15,f18,f1,f2,f16,f37,f44,f45,f46,f47,f48,f49,f50,f3,f54,f55,f56,f57,f63,f65,f69,f70,f71,f72,f64,f75,f78,f79,f84,f77,f90,f92,f94,f89,f96,f97,f106,f99,f108,f103,f104,f102,f112,f107,f95,f110,f130,f125,f132,f142,f147,f148,f153,f166,f123,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f541,f28,f25,f23,f20,f13,f10,f8,f5,f33,f30,f29,f418,f573,f571,f586,f391,f401,f594,f595,f597,f598,f591,f603,f604,f592,f600,f593,f584,f658,f659,f661,f4,f588,f745,f746,f743,f789,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f845,f19,f24,f9,f14,f34,f137,f68,f2005,f2004,f138,f42,f657]) ).

fof(f2072,plain,
    ( identity = multiply(sk_c7,sk_c5)
    | sk_c7 = multiply(sk_c3,identity)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1960,f850]) ).

fof(f1960,plain,
    ( sk_c7 = multiply(sk_c3,identity)
    | sk_c6 = multiply(sk_c7,sk_c5)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f20,f850]) ).

fof(f2071,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2070]) ).

fof(f2070,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f2069,f17,f15,f18,f1,f2,f16,f37,f44,f45,f46,f47,f48,f49,f50,f3,f54,f55,f56,f57,f63,f65,f69,f70,f71,f72,f64,f75,f78,f79,f84,f77,f90,f92,f94,f89,f96,f97,f106,f99,f108,f103,f104,f102,f112,f107,f95,f110,f130,f125,f132,f142,f147,f148,f153,f166,f123,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f541,f28,f25,f23,f20,f13,f10,f8,f5,f33,f30,f29,f418,f573,f571,f586,f391,f401,f594,f595,f597,f598,f591,f603,f604,f592,f600,f593,f584,f658,f659,f661,f4,f588,f745,f746,f743,f789,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f845,f19,f24,f9,f14,f34,f137,f68,f2005,f2004,f138,f42,f657]) ).

fof(f2069,plain,
    ( identity = multiply(sk_c1,sk_c7)
    | sk_c7 = sk_c3
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1966,f850]) ).

fof(f1966,plain,
    ( sk_c7 = sk_c3
    | sk_c6 = multiply(sk_c1,sk_c7)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1965,f1324]) ).

fof(f1965,plain,
    ( sk_c7 = multiply(sk_c3,identity)
    | sk_c6 = multiply(sk_c1,sk_c7)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f10,f850]) ).

fof(f2068,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2067]) ).

fof(f2067,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f2066,f17,f15,f18,f1,f2,f16,f37,f44,f45,f46,f47,f48,f49,f50,f3,f54,f55,f56,f57,f63,f65,f69,f70,f71,f72,f64,f75,f78,f79,f84,f77,f90,f92,f94,f89,f96,f97,f106,f99,f108,f103,f104,f102,f112,f107,f95,f110,f130,f125,f132,f142,f147,f148,f153,f166,f123,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f541,f28,f25,f23,f20,f13,f10,f8,f5,f33,f30,f29,f418,f573,f571,f586,f391,f401,f594,f595,f597,f598,f591,f603,f604,f592,f600,f593,f584,f658,f659,f661,f4,f588,f745,f746,f743,f789,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f845,f19,f24,f9,f14,f34,f137,f68,f2005,f2004,f138,f42,f657]) ).

fof(f2066,plain,
    ( sk_c5 = multiply(sk_c2,sk_c7)
    | spl0_1
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1971,f2007]) ).

fof(f2007,plain,
    ( identity != inverse(sk_c3)
    | spl0_1
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f37,f850]) ).

fof(f1971,plain,
    ( identity = inverse(sk_c3)
    | sk_c5 = multiply(sk_c2,sk_c7)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f26,f850]) ).

fof(f2065,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2064]) ).

fof(f2064,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f2063,f17,f15,f18,f1,f2,f16,f37,f44,f45,f46,f47,f48,f49,f50,f3,f54,f55,f56,f57,f63,f65,f69,f70,f71,f72,f64,f75,f78,f79,f84,f77,f90,f92,f94,f89,f96,f97,f106,f99,f108,f103,f104,f102,f112,f107,f95,f110,f130,f125,f132,f142,f147,f148,f153,f166,f123,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f541,f28,f25,f23,f20,f13,f10,f8,f5,f33,f30,f29,f418,f573,f571,f586,f391,f401,f594,f595,f597,f598,f591,f603,f604,f592,f600,f593,f584,f658,f659,f661,f4,f588,f745,f746,f743,f789,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f845,f19,f24,f9,f14,f34,f137,f68,f2005,f2004,f138,f42,f657]) ).

fof(f2063,plain,
    ( identity = multiply(sk_c7,sk_c5)
    | spl0_1
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2062,f850]) ).

fof(f2062,plain,
    ( sk_c6 = multiply(sk_c7,sk_c5)
    | spl0_1
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1975,f2007]) ).

fof(f1975,plain,
    ( identity = inverse(sk_c3)
    | sk_c6 = multiply(sk_c7,sk_c5)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f21,f850]) ).

fof(f2061,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2060]) ).

fof(f2060,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f2059,f17,f15,f18,f1,f2,f16,f37,f44,f45,f46,f47,f48,f49,f50,f3,f54,f55,f56,f57,f63,f65,f69,f70,f71,f72,f64,f75,f78,f79,f84,f77,f90,f92,f94,f89,f96,f97,f106,f99,f108,f103,f104,f102,f112,f107,f95,f110,f130,f125,f132,f142,f147,f148,f153,f166,f123,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f541,f28,f25,f23,f20,f13,f10,f8,f5,f33,f30,f29,f418,f573,f571,f586,f391,f401,f594,f595,f597,f598,f591,f603,f604,f592,f600,f593,f584,f658,f659,f661,f4,f588,f745,f746,f743,f789,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f845,f19,f24,f9,f14,f34,f137,f68,f2005,f2004,f138,f42,f657]) ).

fof(f2059,plain,
    ( identity = multiply(sk_c1,sk_c7)
    | spl0_1
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2058,f850]) ).

fof(f2058,plain,
    ( sk_c6 = multiply(sk_c1,sk_c7)
    | spl0_1
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1979,f2007]) ).

fof(f1979,plain,
    ( identity = inverse(sk_c3)
    | sk_c6 = multiply(sk_c1,sk_c7)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f11,f850]) ).

fof(f2057,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2056]) ).

fof(f2056,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f2055,f17,f15,f18,f1,f2,f16,f37,f44,f45,f46,f47,f48,f49,f50,f3,f54,f55,f56,f57,f63,f65,f69,f70,f71,f72,f64,f75,f78,f79,f84,f77,f90,f92,f94,f89,f96,f97,f106,f99,f108,f103,f104,f102,f112,f107,f95,f110,f130,f125,f132,f142,f147,f148,f153,f166,f123,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f541,f28,f25,f23,f20,f13,f10,f8,f5,f33,f30,f29,f418,f573,f571,f586,f391,f401,f594,f595,f597,f598,f591,f603,f604,f592,f600,f593,f584,f658,f659,f661,f4,f588,f745,f746,f743,f789,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f845,f19,f24,f9,f14,f34,f137,f68,f2005,f2004,f138,f42,f657]) ).

fof(f2055,plain,
    ( sk_c7 = sk_c5
    | spl0_1
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2054,f1324]) ).

fof(f2054,plain,
    ( sk_c5 = multiply(sk_c7,identity)
    | spl0_1
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2053,f850]) ).

fof(f2053,plain,
    ( multiply(sk_c7,sk_c6) = sk_c5
    | spl0_1
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1983,f2007]) ).

fof(f1983,plain,
    ( identity = inverse(sk_c3)
    | multiply(sk_c7,sk_c6) = sk_c5
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f6,f850]) ).

fof(f2052,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2051]) ).

fof(f2051,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_9 ),
    inference(global_subsumption,[],[f171,f17,f15,f18,f1,f2,f16,f37,f44,f45,f46,f47,f48,f49,f50,f3,f54,f55,f56,f57,f63,f65,f69,f70,f71,f72,f64,f75,f78,f79,f84,f77,f90,f92,f94,f89,f96,f97,f106,f99,f108,f103,f104,f102,f112,f107,f95,f110,f130,f125,f132,f142,f147,f148,f153,f166,f123,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f541,f28,f25,f23,f20,f13,f10,f8,f5,f33,f30,f29,f418,f573,f571,f586,f391,f401,f594,f595,f597,f598,f591,f603,f604,f592,f600,f593,f584,f658,f659,f661,f4,f588,f745,f746,f743,f789,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f845,f19,f24,f9,f14,f34,f137,f68,f2005,f2004,f138,f42,f657]) ).

fof(f171,plain,
    ( ! [X4] :
        ( sk_c7 != multiply(X4,sk_c7)
        | sk_c7 != inverse(X4) )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f170]) ).

fof(f170,plain,
    ( spl0_3
  <=> ! [X4] :
        ( sk_c7 != multiply(X4,sk_c7)
        | sk_c7 != inverse(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f2050,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2049]) ).

fof(f2049,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f2048,f17,f15,f18,f1,f2,f16,f37,f44,f45,f46,f47,f48,f49,f50,f3,f54,f55,f56,f57,f63,f65,f69,f70,f71,f72,f64,f75,f78,f79,f84,f77,f90,f92,f94,f89,f96,f97,f106,f99,f108,f103,f104,f102,f112,f107,f95,f110,f130,f125,f132,f142,f147,f148,f153,f166,f123,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f541,f28,f25,f23,f20,f13,f10,f8,f5,f33,f30,f29,f418,f573,f571,f586,f391,f401,f594,f595,f597,f598,f591,f603,f604,f592,f600,f593,f584,f658,f659,f661,f4,f588,f745,f746,f743,f789,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f845,f19,f24,f9,f14,f34,f137,f68,f2005,f2004,f138,f42,f657]) ).

fof(f2048,plain,
    ( identity = multiply(sk_c1,sk_c5)
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f681,f850]) ).

fof(f681,plain,
    ( sk_c6 = multiply(sk_c1,sk_c5)
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f679,f657]) ).

fof(f679,plain,
    ( sk_c6 = multiply(inverse(sk_c7),sk_c5)
    | ~ spl0_7 ),
    inference(superposition,[],[f60,f665]) ).

fof(f2047,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2046]) ).

fof(f2046,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f881,f17,f15,f18,f1,f2,f16,f37,f44,f45,f46,f47,f48,f49,f50,f3,f54,f55,f56,f57,f63,f65,f69,f70,f71,f72,f64,f75,f78,f79,f84,f77,f90,f92,f94,f89,f96,f97,f106,f99,f108,f103,f104,f102,f112,f107,f95,f110,f130,f125,f132,f142,f147,f148,f153,f166,f123,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f541,f28,f25,f23,f20,f13,f10,f8,f5,f33,f30,f29,f418,f573,f571,f586,f391,f401,f594,f595,f597,f598,f591,f603,f604,f592,f600,f593,f584,f658,f659,f661,f4,f588,f745,f746,f743,f789,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f845,f19,f24,f9,f14,f34,f137,f68,f2005,f2004,f138,f42,f657]) ).

fof(f2045,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2044]) ).

fof(f2044,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_9 ),
    inference(global_subsumption,[],[f17,f15,f18,f1,f2,f16,f37,f44,f45,f46,f47,f48,f49,f50,f3,f54,f55,f56,f57,f63,f65,f69,f70,f71,f72,f64,f75,f78,f79,f84,f77,f90,f92,f94,f89,f96,f97,f106,f99,f108,f103,f104,f102,f112,f107,f95,f110,f130,f125,f132,f142,f147,f148,f153,f166,f123,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f541,f28,f25,f23,f20,f13,f10,f8,f5,f33,f30,f29,f418,f573,f571,f586,f391,f401,f594,f595,f597,f598,f591,f603,f604,f592,f600,f593,f584,f658,f659,f661,f4,f588,f745,f746,f743,f789,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f845,f19,f24,f9,f14,f34,f137,f68,f2005,f2004,f138,f42,f657]) ).

fof(f2043,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2042]) ).

fof(f2042,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_9 ),
    inference(global_subsumption,[],[f574,f17,f15,f18,f1,f2,f16,f37,f44,f45,f46,f47,f48,f49,f50,f3,f54,f55,f56,f57,f63,f65,f69,f70,f71,f72,f64,f75,f78,f79,f84,f77,f90,f92,f94,f89,f96,f97,f106,f99,f108,f103,f104,f102,f112,f107,f95,f110,f130,f125,f132,f142,f147,f148,f153,f166,f123,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f541,f28,f25,f23,f20,f13,f10,f8,f5,f33,f30,f29,f418,f573,f571,f586,f391,f401,f594,f595,f597,f598,f591,f603,f604,f592,f600,f593,f584,f658,f659,f661,f4,f657,f588,f745,f746,f743,f789,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f845,f19,f24,f9,f14,f34,f137,f68,f2005,f2004,f138,f42]) ).

fof(f2041,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2040]) ).

fof(f2040,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_9 ),
    inference(global_subsumption,[],[f17,f15,f18,f1,f2,f16,f37,f44,f45,f46,f47,f48,f49,f50,f3,f54,f55,f56,f57,f63,f65,f69,f70,f71,f72,f64,f75,f78,f79,f84,f77,f90,f92,f94,f89,f96,f97,f106,f99,f108,f103,f104,f102,f112,f107,f95,f110,f130,f125,f132,f142,f147,f148,f153,f166,f123,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f541,f28,f25,f23,f20,f13,f10,f8,f5,f33,f30,f29,f418,f573,f571,f586,f391,f401,f594,f595,f597,f598,f591,f603,f604,f592,f600,f593,f584,f658,f659,f661,f4,f657,f588,f745,f746,f743,f789,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f845,f19,f24,f9,f14,f34,f137,f68,f2005,f2004,f138,f42]) ).

fof(f2039,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2038]) ).

fof(f2038,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_9 ),
    inference(global_subsumption,[],[f17,f15,f18,f1,f2,f16,f37,f42,f44,f45,f46,f47,f48,f49,f50,f3,f54,f55,f56,f57,f63,f65,f69,f70,f71,f72,f64,f75,f78,f79,f84,f77,f90,f92,f94,f89,f96,f97,f106,f99,f108,f103,f104,f102,f112,f107,f95,f110,f130,f125,f132,f142,f147,f148,f153,f166,f123,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f541,f28,f25,f23,f20,f13,f10,f8,f5,f33,f30,f29,f418,f573,f571,f586,f391,f401,f594,f595,f597,f598,f591,f603,f604,f592,f600,f593,f584,f658,f659,f661,f4,f657,f588,f745,f746,f743,f789,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f845,f19,f24,f9,f14,f34,f137,f68,f2005,f2004,f138]) ).

fof(f2037,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2036]) ).

fof(f2036,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f2003,f17,f15,f18,f1,f2,f16,f37,f42,f44,f45,f46,f47,f48,f49,f50,f3,f54,f55,f56,f57,f63,f65,f69,f70,f71,f72,f64,f75,f78,f79,f84,f77,f90,f92,f94,f89,f96,f97,f106,f99,f108,f103,f104,f102,f112,f107,f95,f110,f130,f125,f132,f142,f147,f148,f153,f138,f166,f123,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f541,f28,f25,f23,f20,f13,f10,f8,f5,f33,f30,f29,f418,f573,f571,f586,f391,f401,f594,f595,f597,f598,f591,f603,f604,f592,f600,f593,f584,f658,f659,f661,f4,f657,f588,f745,f746,f743,f789,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f845,f19,f24,f9,f14,f34,f137,f68,f2005,f2004]) ).

fof(f2003,plain,
    ( identity = sk_c7
    | spl0_1
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f77,f850]) ).

fof(f2035,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2034]) ).

fof(f2034,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_9 ),
    inference(global_subsumption,[],[f17,f15,f18,f1,f2,f16,f37,f42,f44,f45,f46,f47,f48,f49,f50,f3,f54,f55,f56,f57,f63,f65,f69,f70,f71,f72,f64,f75,f78,f79,f84,f77,f90,f92,f94,f89,f96,f97,f106,f99,f108,f103,f104,f102,f112,f107,f95,f110,f130,f125,f132,f142,f147,f148,f153,f138,f166,f123,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f541,f28,f25,f23,f20,f13,f10,f8,f5,f33,f30,f29,f418,f573,f571,f586,f391,f401,f594,f595,f597,f598,f591,f603,f604,f592,f600,f593,f584,f658,f659,f661,f4,f657,f588,f745,f746,f743,f789,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f845,f19,f24,f9,f14,f34,f137,f68,f2005,f2004]) ).

fof(f2033,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2032]) ).

fof(f2032,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_9 ),
    inference(global_subsumption,[],[f17,f15,f18,f1,f2,f16,f37,f42,f44,f45,f46,f47,f48,f49,f50,f3,f54,f55,f56,f57,f63,f65,f69,f70,f71,f72,f64,f75,f78,f79,f84,f77,f90,f92,f94,f89,f96,f97,f106,f99,f108,f103,f104,f102,f112,f107,f95,f110,f130,f125,f132,f142,f147,f148,f153,f138,f166,f123,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f541,f28,f25,f23,f20,f13,f10,f8,f5,f33,f30,f29,f418,f573,f571,f586,f391,f401,f594,f595,f597,f598,f591,f603,f604,f592,f600,f593,f584,f658,f659,f661,f4,f657,f588,f745,f746,f743,f789,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f845,f19,f24,f9,f14,f34,f137,f68,f2005]) ).

fof(f2031,plain,
    ( spl0_6
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f1995,f844,f170,f555]) ).

fof(f555,plain,
    ( spl0_6
  <=> ! [X6] :
        ( identity != inverse(X6)
        | identity != multiply(X6,identity) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f1995,plain,
    ( ! [X4] :
        ( identity != inverse(X4)
        | identity != multiply(X4,identity) )
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1994,f846]) ).

fof(f1994,plain,
    ( ! [X4] :
        ( identity != multiply(X4,identity)
        | sk_c7 != inverse(X4) )
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f171,f846]) ).

fof(f1899,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1898]) ).

fof(f1898,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1897,f743]) ).

fof(f1897,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1896,f874]) ).

fof(f874,plain,
    ( identity = sk_c3
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f857,f2]) ).

fof(f857,plain,
    ( sk_c3 = multiply(inverse(identity),identity)
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(superposition,[],[f415,f850]) ).

fof(f1896,plain,
    ( identity != inverse(sk_c3)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1895,f645]) ).

fof(f645,plain,
    ( sk_c3 = inverse(sk_c6)
    | ~ spl0_1 ),
    inference(superposition,[],[f581,f392]) ).

fof(f581,plain,
    ( sk_c3 = multiply(inverse(inverse(inverse(sk_c6))),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f60,f564]) ).

fof(f564,plain,
    ( identity = multiply(inverse(inverse(sk_c6)),sk_c3)
    | ~ spl0_1 ),
    inference(superposition,[],[f60,f415]) ).

fof(f1895,plain,
    ( identity != inverse(inverse(sk_c6))
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1894,f874]) ).

fof(f1894,plain,
    ( identity != sk_c3
    | identity != inverse(inverse(sk_c6))
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1854,f618]) ).

fof(f618,plain,
    ( sk_c3 = multiply(sk_c3,identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f402,f415]) ).

fof(f1854,plain,
    ( identity != multiply(sk_c3,identity)
    | identity != inverse(inverse(sk_c6))
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(superposition,[],[f556,f402]) ).

fof(f556,plain,
    ( ! [X6] :
        ( identity != multiply(X6,identity)
        | identity != inverse(X6) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f555]) ).

fof(f1893,plain,
    ~ spl0_6,
    inference(avatar_contradiction_clause,[],[f1892]) ).

fof(f1892,plain,
    ( $false
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f1891,f1343]) ).

fof(f1891,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1857,f1343]) ).

fof(f1857,plain,
    ( identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_6 ),
    inference(trivial_inequality_removal,[],[f1853]) ).

fof(f1853,plain,
    ( identity != identity
    | identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_6 ),
    inference(superposition,[],[f556,f542]) ).

fof(f1890,plain,
    ~ spl0_6,
    inference(avatar_contradiction_clause,[],[f1889]) ).

fof(f1889,plain,
    ( $false
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f1888,f743]) ).

fof(f1888,plain,
    ( identity != inverse(identity)
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1858,f1343]) ).

fof(f1858,plain,
    ( identity != inverse(inverse(inverse(identity)))
    | ~ spl0_6 ),
    inference(trivial_inequality_removal,[],[f1852]) ).

fof(f1852,plain,
    ( identity != identity
    | identity != inverse(inverse(inverse(identity)))
    | ~ spl0_6 ),
    inference(superposition,[],[f556,f588]) ).

fof(f1887,plain,
    ~ spl0_6,
    inference(avatar_contradiction_clause,[],[f1886]) ).

fof(f1886,plain,
    ( $false
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f1859,f1343]) ).

fof(f1859,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_6 ),
    inference(trivial_inequality_removal,[],[f1851]) ).

fof(f1851,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_6 ),
    inference(superposition,[],[f556,f391]) ).

fof(f1885,plain,
    ~ spl0_6,
    inference(avatar_contradiction_clause,[],[f1884]) ).

fof(f1884,plain,
    ( $false
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f1860,f1343]) ).

fof(f1860,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_6 ),
    inference(trivial_inequality_removal,[],[f1850]) ).

fof(f1850,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_6 ),
    inference(superposition,[],[f556,f2]) ).

fof(f1883,plain,
    ~ spl0_6,
    inference(avatar_contradiction_clause,[],[f1882]) ).

fof(f1882,plain,
    ( $false
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f1861,f743]) ).

fof(f1861,plain,
    ( identity != inverse(identity)
    | ~ spl0_6 ),
    inference(trivial_inequality_removal,[],[f1849]) ).

fof(f1849,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl0_6 ),
    inference(superposition,[],[f556,f1]) ).

fof(f1881,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1880]) ).

fof(f1880,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1879,f743]) ).

fof(f1879,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1878,f874]) ).

fof(f1878,plain,
    ( identity != inverse(sk_c3)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1848,f874]) ).

fof(f1848,plain,
    ( identity != sk_c3
    | identity != inverse(sk_c3)
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(superposition,[],[f556,f618]) ).

fof(f1877,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1876]) ).

fof(f1876,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1875,f743]) ).

fof(f1875,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1874,f850]) ).

fof(f1874,plain,
    ( identity != inverse(sk_c6)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1847,f850]) ).

fof(f1847,plain,
    ( identity != sk_c6
    | identity != inverse(sk_c6)
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(superposition,[],[f556,f626]) ).

fof(f1873,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1872]) ).

fof(f1872,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1871,f743]) ).

fof(f1871,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1870,f874]) ).

fof(f1870,plain,
    ( identity != inverse(sk_c3)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1869,f645]) ).

fof(f1869,plain,
    ( identity != inverse(inverse(sk_c6))
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1846,f874]) ).

fof(f1846,plain,
    ( identity != sk_c3
    | identity != inverse(inverse(sk_c6))
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(superposition,[],[f556,f415]) ).

fof(f1868,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1867]) ).

fof(f1867,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1866,f743]) ).

fof(f1866,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1865,f874]) ).

fof(f1865,plain,
    ( identity != inverse(sk_c3)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1864,f645]) ).

fof(f1864,plain,
    ( identity != inverse(inverse(sk_c6))
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1863,f1343]) ).

fof(f1863,plain,
    ( identity != inverse(inverse(inverse(inverse(sk_c6))))
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1845,f874]) ).

fof(f1845,plain,
    ( identity != sk_c3
    | identity != inverse(inverse(inverse(inverse(sk_c6))))
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(superposition,[],[f556,f581]) ).

fof(f1762,plain,
    ( spl0_2
    | spl0_4
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1761]) ).

fof(f1761,plain,
    ( $false
    | spl0_2
    | spl0_4
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f17,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f28,f25,f23,f20,f13,f10,f8,f5,f33,f30,f29,f391,f4,f588,f745,f746,f743,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f19,f24,f9,f14,f34,f41,f846,f1720,f1231,f1740,f1757,f1758,f180]) ).

fof(f1758,plain,
    ( sk_c6 = inverse(sk_c4)
    | spl0_2
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f17,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f28,f25,f23,f20,f13,f10,f8,f5,f33,f30,f29,f391,f4,f588,f745,f746,f743,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f19,f24,f9,f14,f34,f41,f846,f1720,f1231,f1740,f1757]) ).

fof(f1740,plain,
    ( sk_c6 = inverse(sk_c4)
    | spl0_2
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f1739,f1231]) ).

fof(f1739,plain,
    ( identity = inverse(sk_c1)
    | sk_c6 = inverse(sk_c4)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f17,f846]) ).

fof(f1231,plain,
    ( identity != inverse(sk_c1)
    | spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f41,f846]) ).

fof(f1720,plain,
    ( identity != inverse(sk_c1)
    | spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f41,f846]) ).

fof(f41,plain,
    ( sk_c7 != inverse(sk_c1)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f40]) ).

fof(f1730,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1729]) ).

fof(f1729,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_9
    | spl0_10 ),
    inference(subsumption_resolution,[],[f1728,f849]) ).

fof(f1728,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1727,f617]) ).

fof(f1727,plain,
    ( sk_c6 = multiply(sk_c3,sk_c6)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1700,f1483]) ).

fof(f1483,plain,
    ( sk_c6 = sk_c5
    | ~ spl0_1
    | spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1482,f626]) ).

fof(f1482,plain,
    ( sk_c5 = multiply(sk_c6,identity)
    | spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1481,f846]) ).

fof(f1481,plain,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | spl0_2
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f1480,f1231]) ).

fof(f1480,plain,
    ( identity = inverse(sk_c1)
    | sk_c5 = multiply(sk_c6,sk_c7)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f14,f846]) ).

fof(f1700,plain,
    ( sk_c6 = multiply(sk_c3,sk_c5)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4 ),
    inference(global_subsumption,[],[f17,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f38,f173,f175,f32,f181,f187,f189,f60,f396,f392,f553,f540,f539,f416,f403,f28,f25,f23,f20,f13,f10,f8,f5,f33,f30,f29,f415,f566,f567,f564,f583,f391,f402,f620,f621,f623,f624,f617,f629,f630,f618,f626,f619,f581,f646,f647,f649,f645,f4,f588,f745,f746,f743,f1164,f1131,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f1205,f1210,f41,f1609,f34,f14,f9,f24,f19,f1100,f1113,f1158,f984,f1119,f841,f1689]) ).

fof(f1689,plain,
    ( sk_c6 = multiply(sk_c3,sk_c5)
    | sk_c6 = multiply(sk_c1,sk_c7)
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f13,f567]) ).

fof(f841,plain,
    ( identity = sk_c7
    | sk_c6 = multiply(sk_c1,sk_c7)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f10,f617]) ).

fof(f1119,plain,
    ( identity = sk_c7
    | multiply(sk_c7,sk_c6) = sk_c5
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f5,f617]) ).

fof(f984,plain,
    ( identity = sk_c7
    | sk_c6 = multiply(sk_c7,sk_c5)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f20,f617]) ).

fof(f1158,plain,
    ( sk_c6 = multiply(sk_c3,sk_c5)
    | sk_c7 = inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f18,f567]) ).

fof(f1113,plain,
    ( sk_c6 = multiply(sk_c3,sk_c5)
    | multiply(sk_c7,sk_c6) = sk_c5
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f8,f567]) ).

fof(f1100,plain,
    ( sk_c6 = multiply(sk_c3,sk_c5)
    | sk_c6 = multiply(sk_c7,sk_c5)
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f23,f567]) ).

fof(f1609,plain,
    ( sk_c6 = multiply(sk_c3,sk_c5)
    | sk_c5 = multiply(sk_c2,sk_c7)
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f28,f567]) ).

fof(f1210,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | spl0_2 ),
    inference(global_subsumption,[],[f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f38,f173,f175,f32,f60,f396,f407,f392,f542,f553,f539,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f415,f566,f564,f583,f391,f402,f620,f621,f623,f624,f617,f629,f630,f618,f626,f619,f581,f646,f647,f649,f645,f4,f588,f745,f746,f743,f41,f1164,f1205,f1131]) ).

fof(f1205,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | spl0_2 ),
    inference(global_subsumption,[],[f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f38,f173,f175,f32,f60,f396,f407,f392,f542,f553,f539,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f415,f566,f564,f583,f391,f402,f620,f621,f623,f624,f617,f629,f630,f618,f626,f619,f581,f646,f647,f649,f645,f4,f588,f745,f746,f743,f41,f1164]) ).

fof(f1131,plain,
    ( identity = sk_c7
    | sk_c5 = multiply(sk_c2,sk_c7)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f25,f617]) ).

fof(f1164,plain,
    ( identity = sk_c7
    | sk_c7 = inverse(sk_c1)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f15,f617]) ).

fof(f649,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(inverse(inverse(sk_c6))),X0)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f648,f1]) ).

fof(f648,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(inverse(inverse(sk_c6))),multiply(identity,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f581]) ).

fof(f647,plain,
    ( identity = multiply(inverse(inverse(inverse(inverse(sk_c6)))),sk_c3)
    | ~ spl0_1 ),
    inference(superposition,[],[f60,f581]) ).

fof(f646,plain,
    ( sk_c3 = inverse(sk_c6)
    | ~ spl0_1 ),
    inference(superposition,[],[f392,f581]) ).

fof(f619,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c6,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f402,f60]) ).

fof(f630,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c6,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f628,f1]) ).

fof(f628,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c3,multiply(sk_c6,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f617]) ).

fof(f629,plain,
    ( sk_c6 = multiply(sk_c6,identity)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f627,f38]) ).

fof(f627,plain,
    ( sk_c6 = multiply(inverse(sk_c3),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f60,f617]) ).

fof(f624,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c6,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f60,f402]) ).

fof(f623,plain,
    ( sk_c3 = multiply(sk_c3,identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f415,f402]) ).

fof(f621,plain,
    ( ! [X0] : multiply(inverse(inverse(sk_c6)),multiply(sk_c3,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f60,f402]) ).

fof(f620,plain,
    ( identity = multiply(sk_c3,sk_c6)
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f402]) ).

fof(f583,plain,
    ( ! [X0] : multiply(inverse(inverse(sk_c6)),multiply(sk_c3,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f582,f1]) ).

fof(f582,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(sk_c6)),multiply(sk_c3,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f564]) ).

fof(f566,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(sk_c6),X0)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f565,f1]) ).

fof(f565,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(sk_c6),multiply(identity,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f415]) ).

fof(f403,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c6),X0)
    | ~ spl0_4 ),
    inference(superposition,[],[f60,f189]) ).

fof(f539,plain,
    ( sk_c3 = multiply(inverse(sk_c6),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f392,f38]) ).

fof(f540,plain,
    ( sk_c4 = multiply(inverse(sk_c6),identity)
    | ~ spl0_4 ),
    inference(superposition,[],[f392,f181]) ).

fof(f189,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c4,X0)) = X0
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f188,f1]) ).

fof(f188,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c4,X0))
    | ~ spl0_4 ),
    inference(superposition,[],[f3,f187]) ).

fof(f1699,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1698]) ).

fof(f1698,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | spl0_9 ),
    inference(global_subsumption,[],[f669,f17,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f38,f173,f175,f32,f60,f396,f392,f553,f539,f28,f25,f23,f20,f13,f10,f8,f5,f33,f30,f29,f415,f566,f564,f583,f391,f402,f620,f621,f623,f624,f617,f629,f630,f618,f626,f619,f581,f646,f647,f649,f645,f4,f588,f745,f746,f743,f1132,f1164,f1131,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f845,f1165,f1205,f1210,f41,f34,f14,f9,f24,f19,f984,f1119,f841]) ).

fof(f1165,plain,
    ( sk_c7 = inverse(sk_c1)
    | ~ spl0_1
    | spl0_9 ),
    inference(subsumption_resolution,[],[f1164,f845]) ).

fof(f1132,plain,
    ( sk_c5 = multiply(sk_c2,sk_c7)
    | ~ spl0_1
    | spl0_9 ),
    inference(subsumption_resolution,[],[f1131,f845]) ).

fof(f1697,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1696]) ).

fof(f1696,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | spl0_9 ),
    inference(global_subsumption,[],[f794,f17,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f38,f173,f175,f32,f60,f396,f392,f553,f539,f28,f25,f23,f20,f13,f10,f8,f5,f33,f30,f29,f415,f566,f564,f583,f391,f402,f620,f621,f623,f624,f617,f629,f630,f618,f626,f619,f581,f646,f647,f649,f645,f4,f588,f745,f746,f743,f1132,f1164,f1131,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f845,f1165,f1205,f1210,f41,f34,f14,f9,f24,f19,f984,f1119,f841]) ).

fof(f794,plain,
    ( sk_c7 = multiply(sk_c3,sk_c5)
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f792,f645]) ).

fof(f792,plain,
    ( sk_c7 = multiply(inverse(sk_c6),sk_c5)
    | ~ spl0_8 ),
    inference(superposition,[],[f60,f669]) ).

fof(f1695,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1694]) ).

fof(f1694,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9 ),
    inference(global_subsumption,[],[f1146,f17,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f38,f173,f175,f32,f60,f396,f392,f553,f539,f28,f25,f23,f20,f13,f10,f8,f5,f33,f30,f29,f415,f566,f564,f583,f391,f402,f620,f621,f623,f624,f617,f629,f630,f618,f626,f619,f581,f646,f647,f649,f645,f4,f588,f745,f746,f743,f1132,f1164,f1131,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f845,f1165,f1205,f1210,f41,f34,f14,f9,f24,f19,f984,f1119,f841]) ).

fof(f1146,plain,
    ( sk_c6 = multiply(sk_c5,sk_c2)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f813,f626]) ).

fof(f813,plain,
    ( multiply(sk_c6,identity) = multiply(sk_c5,sk_c2)
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(superposition,[],[f793,f560]) ).

fof(f1693,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1692]) ).

fof(f1692,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f849,f17,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f38,f173,f175,f32,f60,f396,f392,f553,f539,f28,f25,f23,f20,f13,f10,f8,f5,f33,f30,f29,f415,f566,f564,f583,f391,f402,f620,f621,f623,f624,f617,f629,f630,f618,f626,f619,f581,f646,f647,f649,f645,f4,f588,f745,f746,f743,f1132,f1164,f1131,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f845,f1165,f1205,f1210,f41,f34,f14,f9,f24,f19,f984,f1119,f841]) ).

fof(f1691,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1690]) ).

fof(f1690,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | spl0_9 ),
    inference(global_subsumption,[],[f1689,f17,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f38,f173,f175,f32,f60,f396,f392,f553,f539,f28,f25,f23,f20,f13,f10,f8,f5,f33,f30,f29,f415,f566,f564,f583,f391,f402,f620,f621,f623,f624,f617,f629,f630,f618,f626,f619,f581,f646,f647,f649,f645,f4,f588,f745,f746,f743,f1132,f1164,f1131,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f845,f1165,f1205,f1210,f41,f34,f14,f9,f24,f19,f984,f1119,f841]) ).

fof(f1688,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1687]) ).

fof(f1687,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | spl0_9 ),
    inference(global_subsumption,[],[f665,f17,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f38,f173,f175,f32,f60,f396,f392,f553,f539,f28,f25,f23,f20,f13,f10,f8,f5,f33,f30,f29,f415,f566,f564,f583,f391,f402,f620,f621,f623,f624,f617,f629,f630,f618,f626,f619,f581,f646,f647,f649,f645,f4,f588,f745,f746,f743,f1132,f1164,f1131,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f845,f1165,f1205,f1210,f41,f34,f14,f9,f24,f19,f984,f1119,f841]) ).

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

fof(f1685,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_9 ),
    inference(global_subsumption,[],[f17,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f38,f173,f175,f32,f60,f396,f392,f553,f539,f28,f25,f23,f20,f13,f10,f8,f5,f33,f30,f29,f415,f566,f564,f583,f391,f402,f620,f621,f623,f624,f617,f629,f630,f618,f626,f619,f581,f646,f647,f649,f645,f4,f588,f745,f746,f743,f1132,f1164,f1131,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f845,f1165,f1205,f1210,f41,f34,f14,f9,f24,f19,f984,f1119,f841]) ).

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

fof(f1683,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_9 ),
    inference(global_subsumption,[],[f17,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f38,f173,f175,f32,f60,f396,f392,f553,f539,f28,f25,f23,f20,f13,f10,f8,f5,f33,f30,f29,f415,f566,f564,f583,f391,f402,f620,f621,f623,f624,f617,f629,f630,f618,f626,f619,f581,f646,f647,f649,f645,f4,f588,f745,f746,f743,f1132,f1164,f1131,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f845,f1165,f1205,f1210,f41,f34,f14,f9,f24,f19,f984,f1119]) ).

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

fof(f1681,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_9 ),
    inference(global_subsumption,[],[f17,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f38,f173,f175,f32,f60,f396,f392,f553,f539,f28,f25,f23,f20,f13,f10,f8,f5,f33,f30,f29,f415,f566,f564,f583,f391,f402,f620,f621,f623,f624,f617,f629,f630,f618,f626,f619,f581,f646,f647,f649,f645,f4,f588,f745,f746,f743,f1132,f1164,f1131,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f845,f1165,f1205,f1210,f41,f34,f14,f9,f24,f19,f984]) ).

fof(f1678,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1677]) ).

fof(f1677,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | spl0_9 ),
    inference(global_subsumption,[],[f1158,f17,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f38,f173,f175,f32,f60,f396,f392,f553,f539,f28,f25,f23,f20,f13,f10,f8,f5,f33,f30,f29,f415,f566,f564,f583,f391,f402,f620,f621,f623,f624,f617,f629,f630,f618,f626,f619,f581,f646,f647,f649,f645,f4,f588,f745,f746,f743,f1132,f1164,f1131,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f845,f1165,f1205,f1210,f41,f34,f14,f9,f24,f19]) ).

fof(f1676,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1675]) ).

fof(f1675,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | spl0_9 ),
    inference(global_subsumption,[],[f1113,f17,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f38,f173,f175,f32,f60,f396,f392,f553,f539,f28,f25,f23,f20,f13,f10,f8,f5,f33,f30,f29,f415,f566,f564,f583,f391,f402,f620,f621,f623,f624,f617,f629,f630,f618,f626,f619,f581,f646,f647,f649,f645,f4,f588,f745,f746,f743,f1132,f1164,f1131,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f845,f1165,f1205,f1210,f41,f34,f14,f9,f24,f19]) ).

fof(f1674,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1673]) ).

fof(f1673,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | spl0_9 ),
    inference(global_subsumption,[],[f1100,f17,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f38,f173,f175,f32,f60,f396,f392,f553,f539,f28,f25,f23,f20,f13,f10,f8,f5,f33,f30,f29,f415,f566,f564,f583,f391,f402,f620,f621,f623,f624,f617,f629,f630,f618,f626,f619,f581,f646,f647,f649,f645,f4,f588,f745,f746,f743,f1132,f1164,f1131,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f845,f1165,f1205,f1210,f41,f34,f14,f9,f24,f19]) ).

fof(f1672,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1671]) ).

fof(f1671,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_9 ),
    inference(global_subsumption,[],[f17,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f38,f173,f175,f32,f60,f396,f392,f553,f539,f28,f25,f23,f20,f13,f10,f8,f5,f33,f30,f29,f415,f566,f564,f583,f391,f402,f620,f621,f623,f624,f617,f629,f630,f618,f626,f619,f581,f646,f647,f649,f645,f4,f588,f745,f746,f743,f1132,f1164,f1131,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f845,f1165,f1205,f1210,f41,f34,f14,f9,f24,f19]) ).

fof(f1670,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1669]) ).

fof(f1669,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_9 ),
    inference(global_subsumption,[],[f17,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f38,f173,f175,f32,f60,f396,f392,f553,f539,f28,f25,f23,f20,f19,f13,f10,f8,f5,f33,f30,f29,f415,f566,f564,f583,f391,f402,f620,f621,f623,f624,f617,f629,f630,f618,f626,f619,f581,f646,f647,f649,f645,f4,f588,f745,f746,f743,f1132,f1164,f1131,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f845,f1165,f1205,f1210,f41,f34,f14,f9,f24]) ).

fof(f1668,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1667]) ).

fof(f1667,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_9 ),
    inference(global_subsumption,[],[f17,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f38,f173,f175,f32,f60,f396,f392,f553,f539,f28,f25,f24,f23,f20,f19,f13,f10,f8,f5,f33,f30,f29,f415,f566,f564,f583,f391,f402,f620,f621,f623,f624,f617,f629,f630,f618,f626,f619,f581,f646,f647,f649,f645,f4,f588,f745,f746,f743,f1132,f1164,f1131,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f845,f1165,f1205,f1210,f41,f34,f14,f9]) ).

fof(f1666,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1665]) ).

fof(f1665,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_9 ),
    inference(global_subsumption,[],[f17,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f38,f173,f175,f32,f60,f396,f392,f553,f539,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f415,f566,f564,f583,f391,f402,f620,f621,f623,f624,f617,f629,f630,f618,f626,f619,f581,f646,f647,f649,f645,f4,f588,f745,f746,f743,f1132,f1164,f1131,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f845,f1165,f1205,f1210,f41,f34,f14]) ).

fof(f1664,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1663]) ).

fof(f1663,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_9 ),
    inference(global_subsumption,[],[f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f38,f173,f175,f32,f60,f396,f392,f553,f539,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f415,f566,f564,f583,f391,f402,f620,f621,f623,f624,f617,f629,f630,f618,f626,f619,f581,f646,f647,f649,f645,f4,f588,f745,f746,f743,f1132,f1164,f1131,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f845,f1165,f1205,f1210,f41,f34]) ).

fof(f1662,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1661]) ).

fof(f1661,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | spl0_9 ),
    inference(global_subsumption,[],[f1609,f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f38,f173,f175,f32,f60,f396,f392,f553,f539,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f415,f566,f564,f583,f391,f402,f620,f621,f623,f624,f617,f629,f630,f618,f626,f619,f581,f646,f647,f649,f645,f4,f588,f745,f746,f743,f1132,f1164,f1131,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f845,f1165,f1205,f1210,f41]) ).

fof(f1660,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1659]) ).

fof(f1659,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_9 ),
    inference(global_subsumption,[],[f1408,f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f38,f173,f175,f32,f60,f396,f392,f553,f539,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f415,f566,f564,f583,f391,f402,f620,f621,f623,f624,f617,f629,f630,f618,f626,f619,f581,f646,f647,f649,f645,f4,f588,f745,f746,f743,f1132,f1164,f1131,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f845,f1165,f1205,f1210,f41]) ).

fof(f1658,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1657]) ).

fof(f1657,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_9 ),
    inference(global_subsumption,[],[f1388,f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f38,f173,f175,f32,f60,f396,f392,f553,f539,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f415,f566,f564,f583,f391,f402,f620,f621,f623,f624,f617,f629,f630,f618,f626,f619,f581,f646,f647,f649,f645,f4,f588,f745,f746,f743,f1132,f1164,f1131,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f845,f1165,f1205,f1210,f41]) ).

fof(f1656,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1655]) ).

fof(f1655,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_9 ),
    inference(global_subsumption,[],[f1320,f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f38,f173,f175,f32,f60,f396,f392,f553,f539,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f415,f566,f564,f583,f391,f402,f620,f621,f623,f624,f617,f629,f630,f618,f626,f619,f581,f646,f647,f649,f645,f4,f588,f745,f746,f743,f1132,f1164,f1131,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f845,f1165,f1205,f1210,f41]) ).

fof(f1654,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1653]) ).

fof(f1653,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_9 ),
    inference(global_subsumption,[],[f563,f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f38,f173,f175,f32,f60,f396,f392,f553,f539,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f415,f566,f564,f583,f391,f402,f620,f621,f623,f624,f617,f629,f630,f618,f626,f619,f581,f646,f647,f649,f645,f4,f588,f745,f746,f743,f1132,f1164,f1131,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f845,f1165,f1205,f1210,f41]) ).

fof(f1652,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1651]) ).

fof(f1651,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_9 ),
    inference(global_subsumption,[],[f559,f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f38,f173,f175,f32,f60,f396,f392,f553,f539,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f415,f566,f564,f583,f391,f402,f620,f621,f623,f624,f617,f629,f630,f618,f626,f619,f581,f646,f647,f649,f645,f4,f588,f745,f746,f743,f1132,f1164,f1131,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f845,f1165,f1205,f1210,f41]) ).

fof(f1650,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1649]) ).

fof(f1649,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_9 ),
    inference(global_subsumption,[],[f558,f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f38,f173,f175,f32,f60,f396,f392,f553,f539,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f415,f566,f564,f583,f391,f402,f620,f621,f623,f624,f617,f629,f630,f618,f626,f619,f581,f646,f647,f649,f645,f4,f588,f745,f746,f743,f1132,f1164,f1131,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f845,f1165,f1205,f1210,f41]) ).

fof(f1648,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1647]) ).

fof(f1647,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_9 ),
    inference(global_subsumption,[],[f561,f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f38,f173,f175,f32,f60,f396,f392,f553,f539,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f415,f566,f564,f583,f391,f402,f620,f621,f623,f624,f617,f629,f630,f618,f626,f619,f581,f646,f647,f649,f645,f4,f588,f745,f746,f743,f1132,f1164,f1131,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f845,f1165,f1205,f1210,f41]) ).

fof(f1646,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1645]) ).

fof(f1645,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_9 ),
    inference(global_subsumption,[],[f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f38,f173,f175,f32,f60,f396,f392,f553,f539,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f415,f566,f564,f583,f391,f402,f620,f621,f623,f624,f617,f629,f630,f618,f626,f619,f581,f646,f647,f649,f645,f4,f588,f745,f746,f743,f1132,f1164,f1131,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f845,f1165,f1205,f1210,f41]) ).

fof(f1644,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1643]) ).

fof(f1643,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_9 ),
    inference(global_subsumption,[],[f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f38,f173,f175,f32,f60,f396,f392,f553,f539,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f415,f566,f564,f583,f391,f402,f620,f621,f623,f624,f617,f629,f630,f618,f626,f619,f581,f646,f647,f649,f645,f4,f588,f745,f746,f743,f1132,f1164,f1131,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f41,f845,f1165,f1205,f1210]) ).

fof(f1642,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1641]) ).

fof(f1641,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_9 ),
    inference(global_subsumption,[],[f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f38,f173,f175,f32,f60,f396,f392,f553,f539,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f415,f566,f564,f583,f391,f402,f620,f621,f623,f624,f617,f629,f630,f618,f626,f619,f581,f646,f647,f649,f645,f4,f588,f745,f746,f743,f1132,f1164,f1131,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f41,f1210,f845,f1165,f1205]) ).

fof(f1640,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1639]) ).

fof(f1639,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_9 ),
    inference(global_subsumption,[],[f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f38,f173,f175,f32,f60,f396,f392,f553,f539,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f415,f566,f564,f583,f391,f402,f620,f621,f623,f624,f617,f629,f630,f618,f626,f619,f581,f646,f647,f649,f645,f4,f588,f745,f746,f743,f1132,f1164,f1131,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f41,f1210,f1205,f845,f1165]) ).

fof(f1638,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1637]) ).

fof(f1637,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_9 ),
    inference(global_subsumption,[],[f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f38,f173,f175,f32,f60,f396,f392,f553,f539,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f415,f566,f564,f583,f391,f402,f620,f621,f623,f624,f617,f629,f630,f618,f626,f619,f581,f646,f647,f649,f645,f4,f588,f745,f746,f743,f1132,f1164,f1131,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f41,f1210,f1205,f1165,f845]) ).

fof(f1636,plain,
    ( ~ spl0_7
    | spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1635]) ).

fof(f1635,plain,
    ( $false
    | ~ spl0_7
    | spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f845,f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f391,f4,f665,f668,f680,f588,f745,f746,f743,f850,f883,f1202,f864,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f1548,f1551,f1556,f1560,f1572,f1578,f1591,f1615,f1618]) ).

fof(f1591,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != sk_c5
        | identity != multiply(X3,sk_c7)
        | identity != multiply(X6,sk_c5)
        | identity != multiply(sk_c7,sk_c5)
        | sk_c7 != multiply(X5,identity)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c5 != multiply(X4,sk_c7) )
    | ~ spl0_10 ),
    inference(duplicate_literal_removal,[],[f1590]) ).

fof(f1590,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != sk_c5
        | identity != multiply(X3,sk_c7)
        | identity != multiply(X6,sk_c5)
        | identity != multiply(sk_c7,sk_c5)
        | sk_c7 != multiply(X5,identity)
        | sk_c7 != sk_c5
        | identity != inverse(X6)
        | identity != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c5 != multiply(X4,sk_c7) )
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1589,f1324]) ).

fof(f1589,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c5 != multiply(sk_c7,identity)
        | identity != multiply(X3,sk_c7)
        | identity != multiply(X6,sk_c5)
        | identity != multiply(sk_c7,sk_c5)
        | sk_c7 != multiply(X5,identity)
        | sk_c7 != sk_c5
        | identity != inverse(X6)
        | identity != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c5 != multiply(X4,sk_c7) )
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1588,f850]) ).

fof(f1588,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(X3,sk_c7)
        | identity != multiply(X6,sk_c5)
        | identity != multiply(sk_c7,sk_c5)
        | sk_c7 != multiply(X5,identity)
        | sk_c7 != sk_c5
        | identity != inverse(X6)
        | identity != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c5 != multiply(X4,sk_c7)
        | multiply(sk_c7,sk_c6) != sk_c5 )
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1587,f850]) ).

fof(f1587,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(X6,sk_c5)
        | identity != multiply(sk_c7,sk_c5)
        | sk_c7 != multiply(X5,identity)
        | sk_c7 != sk_c5
        | identity != inverse(X6)
        | identity != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c5 != multiply(X4,sk_c7)
        | sk_c6 != multiply(X3,sk_c7)
        | multiply(sk_c7,sk_c6) != sk_c5 )
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1586,f850]) ).

fof(f1586,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(sk_c7,sk_c5)
        | sk_c7 != multiply(X5,identity)
        | sk_c7 != sk_c5
        | identity != inverse(X6)
        | identity != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c5 != multiply(X4,sk_c7)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | multiply(sk_c7,sk_c6) != sk_c5 )
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1585,f850]) ).

fof(f1585,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != multiply(X5,identity)
        | sk_c7 != sk_c5
        | identity != inverse(X6)
        | identity != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c5 != multiply(X4,sk_c7)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | multiply(sk_c7,sk_c6) != sk_c5 )
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1584,f850]) ).

fof(f1584,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != sk_c5
        | identity != inverse(X6)
        | identity != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c5 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X5,sk_c6)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | multiply(sk_c7,sk_c6) != sk_c5 )
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1583,f1]) ).

fof(f1583,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c5 != multiply(identity,sk_c7)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c5 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X5,sk_c6)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | multiply(sk_c7,sk_c6) != sk_c5 )
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1582,f850]) ).

fof(f1582,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != inverse(X6)
        | identity != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c5 != multiply(sk_c6,sk_c7)
        | sk_c5 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X5,sk_c6)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | multiply(sk_c7,sk_c6) != sk_c5 )
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1581,f850]) ).

fof(f1581,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c6 != inverse(X6)
        | sk_c5 != multiply(sk_c6,sk_c7)
        | sk_c5 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X5,sk_c6)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | multiply(sk_c7,sk_c6) != sk_c5 )
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f34,f850]) ).

fof(f1578,plain,
    ( sk_c7 = sk_c5
    | sk_c7 = inverse(sk_c1)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1577,f1]) ).

fof(f1577,plain,
    ( sk_c5 = multiply(identity,sk_c7)
    | sk_c7 = inverse(sk_c1)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f14,f850]) ).

fof(f1572,plain,
    ( identity = multiply(sk_c1,sk_c7)
    | sk_c7 = sk_c5
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1571,f850]) ).

fof(f1571,plain,
    ( sk_c7 = sk_c5
    | sk_c6 = multiply(sk_c1,sk_c7)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1570,f1]) ).

fof(f1570,plain,
    ( sk_c5 = multiply(identity,sk_c7)
    | sk_c6 = multiply(sk_c1,sk_c7)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f9,f850]) ).

fof(f1560,plain,
    ( sk_c7 = sk_c5
    | sk_c5 = multiply(sk_c2,sk_c7)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1559,f1]) ).

fof(f1559,plain,
    ( sk_c5 = multiply(identity,sk_c7)
    | sk_c5 = multiply(sk_c2,sk_c7)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f24,f850]) ).

fof(f1556,plain,
    ( identity = multiply(sk_c7,sk_c5)
    | sk_c7 = sk_c5
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1555,f850]) ).

fof(f1555,plain,
    ( sk_c7 = sk_c5
    | sk_c6 = multiply(sk_c7,sk_c5)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1554,f1]) ).

fof(f1554,plain,
    ( sk_c5 = multiply(identity,sk_c7)
    | sk_c6 = multiply(sk_c7,sk_c5)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f19,f850]) ).

fof(f1551,plain,
    ( identity = multiply(sk_c1,sk_c7)
    | spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f755,f850]) ).

fof(f755,plain,
    ( sk_c6 = multiply(sk_c1,sk_c7)
    | spl0_8 ),
    inference(subsumption_resolution,[],[f9,f668]) ).

fof(f1548,plain,
    ( sk_c7 != sk_c5
    | spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1547,f1]) ).

fof(f1547,plain,
    ( sk_c5 != multiply(identity,sk_c7)
    | spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f668,f850]) ).

fof(f883,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c5,X0)
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f866,f1]) ).

fof(f866,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c7,multiply(identity,X0))
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(superposition,[],[f680,f850]) ).

fof(f680,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c7,multiply(sk_c6,X0))
    | ~ spl0_7 ),
    inference(superposition,[],[f3,f665]) ).

fof(f668,plain,
    ( sk_c5 != multiply(sk_c6,sk_c7)
    | spl0_8 ),
    inference(avatar_component_clause,[],[f667]) ).

fof(f1634,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1633]) ).

fof(f1633,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1165,f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f391,f4,f665,f668,f680,f588,f745,f746,f743,f850,f883,f1202,f864,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f1548,f1551,f1556,f1560,f1572,f1578,f1591,f1615,f1618]) ).

fof(f1632,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1631]) ).

fof(f1631,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1205,f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f391,f4,f665,f668,f680,f588,f745,f746,f743,f850,f883,f1202,f864,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f1548,f1551,f1556,f1560,f1572,f1578,f1591,f1615,f1618]) ).

fof(f1630,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1629]) ).

fof(f1629,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1208,f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f391,f4,f665,f668,f680,f588,f745,f746,f743,f850,f883,f1202,f864,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f1548,f1551,f1556,f1560,f1572,f1578,f1591,f1615,f1618]) ).

fof(f1208,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | spl0_2
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1207,f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f38,f173,f175,f32,f60,f396,f407,f392,f542,f553,f539,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f415,f566,f564,f583,f391,f402,f620,f621,f623,f624,f617,f629,f630,f618,f626,f619,f581,f646,f647,f649,f645,f4,f588,f745,f746,f743,f41,f1164,f1205]) ).

fof(f1207,plain,
    ( identity = multiply(sk_c1,sk_c7)
    | identity = sk_c7
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f841,f850]) ).

fof(f1628,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1627]) ).

fof(f1627,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1210,f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f391,f4,f665,f668,f680,f588,f745,f746,f743,f850,f883,f1202,f864,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f1548,f1551,f1556,f1560,f1572,f1578,f1591,f1615,f1618]) ).

fof(f1626,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1625]) ).

fof(f1625,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1212,f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f391,f4,f665,f668,f680,f588,f745,f746,f743,f850,f883,f1202,f864,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f1548,f1551,f1556,f1560,f1572,f1578,f1591,f1615,f1618]) ).

fof(f1212,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | spl0_2
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1211,f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f38,f173,f175,f32,f60,f396,f407,f392,f542,f553,f539,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f415,f566,f564,f583,f391,f402,f620,f621,f623,f624,f617,f629,f630,f618,f626,f619,f581,f646,f647,f649,f645,f4,f588,f745,f746,f743,f41,f1164,f1205,f1131,f1210]) ).

fof(f1211,plain,
    ( sk_c5 = multiply(sk_c7,identity)
    | identity = sk_c7
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1119,f850]) ).

fof(f1624,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1623]) ).

fof(f1623,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1218,f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f391,f4,f665,f668,f680,f588,f745,f746,f743,f850,f883,f1202,f864,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f1548,f1551,f1556,f1560,f1572,f1578,f1591,f1615,f1618]) ).

fof(f1218,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | spl0_2
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1217,f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f38,f173,f175,f32,f60,f396,f407,f392,f542,f553,f539,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f415,f566,f564,f583,f391,f402,f620,f621,f623,f624,f617,f629,f630,f618,f626,f619,f581,f646,f647,f649,f645,f4,f588,f745,f746,f743,f41,f1164,f1205,f1131,f1210]) ).

fof(f1217,plain,
    ( identity = multiply(sk_c7,sk_c5)
    | identity = sk_c7
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f984,f850]) ).

fof(f1622,plain,
    ( spl0_2
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1621]) ).

fof(f1621,plain,
    ( $false
    | spl0_2
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f41,f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f391,f4,f665,f668,f680,f588,f745,f746,f743,f850,f883,f1202,f864,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f1548,f1551,f1556,f1560,f1572,f1578,f1591,f1615,f1618]) ).

fof(f1620,plain,
    ( ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1619]) ).

fof(f1619,plain,
    ( $false
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f391,f4,f665,f668,f680,f588,f745,f746,f743,f850,f883,f1202,f864,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f1548,f1551,f1556,f1560,f1572,f1578,f1591,f1615,f1618]) ).

fof(f1617,plain,
    ( ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1616]) ).

fof(f1616,plain,
    ( $false
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f391,f4,f665,f668,f680,f588,f745,f746,f743,f850,f883,f1202,f864,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426,f1548,f1551,f1556,f1560,f1572,f1578,f1591,f1615]) ).

fof(f1614,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1613]) ).

fof(f1613,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | spl0_8
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1612,f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f391,f4,f668,f588,f745,f746,f743,f41,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426]) ).

fof(f1612,plain,
    ( identity = sk_c5
    | sk_c5 = multiply(sk_c2,sk_c7)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1611,f850]) ).

fof(f1611,plain,
    ( sk_c6 = sk_c5
    | sk_c5 = multiply(sk_c2,sk_c7)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1610,f1]) ).

fof(f1610,plain,
    ( sk_c6 = multiply(identity,sk_c5)
    | sk_c5 = multiply(sk_c2,sk_c7)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1609,f874]) ).

fof(f1608,plain,
    ( spl0_2
    | ~ spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1607]) ).

fof(f1607,plain,
    ( $false
    | spl0_2
    | ~ spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f561,f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f391,f4,f668,f588,f745,f746,f743,f41,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426]) ).

fof(f1606,plain,
    ( spl0_2
    | ~ spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1605]) ).

fof(f1605,plain,
    ( $false
    | spl0_2
    | ~ spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f558,f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f391,f4,f668,f588,f745,f746,f743,f41,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426]) ).

fof(f1604,plain,
    ( spl0_2
    | ~ spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1603]) ).

fof(f1603,plain,
    ( $false
    | spl0_2
    | ~ spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f559,f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f391,f4,f668,f588,f745,f746,f743,f41,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426]) ).

fof(f1602,plain,
    ( spl0_2
    | ~ spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1601]) ).

fof(f1601,plain,
    ( $false
    | spl0_2
    | ~ spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f563,f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f391,f4,f668,f588,f745,f746,f743,f41,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426]) ).

fof(f1599,plain,
    ( spl0_2
    | ~ spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1598]) ).

fof(f1598,plain,
    ( $false
    | spl0_2
    | ~ spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f1320,f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f391,f4,f668,f588,f745,f746,f743,f41,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426]) ).

fof(f1597,plain,
    ( spl0_2
    | ~ spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1596]) ).

fof(f1596,plain,
    ( $false
    | spl0_2
    | ~ spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f1388,f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f391,f4,f668,f588,f745,f746,f743,f41,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426]) ).

fof(f1595,plain,
    ( spl0_2
    | ~ spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1594]) ).

fof(f1594,plain,
    ( $false
    | spl0_2
    | ~ spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f1408,f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f391,f4,f668,f588,f745,f746,f743,f41,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426]) ).

fof(f1593,plain,
    ( spl0_2
    | spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1592]) ).

fof(f1592,plain,
    ( $false
    | spl0_2
    | spl0_8
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1591,f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f391,f4,f668,f588,f745,f746,f743,f41,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426]) ).

fof(f1580,plain,
    ( spl0_2
    | spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1579]) ).

fof(f1579,plain,
    ( $false
    | spl0_2
    | spl0_8
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1578,f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f391,f4,f668,f588,f745,f746,f743,f41,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426]) ).

fof(f1576,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1575]) ).

fof(f1575,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | spl0_8
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1488,f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f391,f4,f668,f588,f745,f746,f743,f41,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426]) ).

fof(f1488,plain,
    ( identity = multiply(identity,sk_c5)
    | sk_c7 = inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1487,f850]) ).

fof(f1487,plain,
    ( sk_c6 = multiply(identity,sk_c5)
    | sk_c7 = inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1158,f874]) ).

fof(f1574,plain,
    ( spl0_2
    | spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1573]) ).

fof(f1573,plain,
    ( $false
    | spl0_2
    | spl0_8
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1572,f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f391,f4,f668,f588,f745,f746,f743,f41,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426]) ).

fof(f1569,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1568]) ).

fof(f1568,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | spl0_8
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1502,f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f391,f4,f668,f588,f745,f746,f743,f41,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426]) ).

fof(f1502,plain,
    ( identity = sk_c5
    | identity = multiply(sk_c1,sk_c7)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1501,f850]) ).

fof(f1501,plain,
    ( sk_c6 = sk_c5
    | identity = multiply(sk_c1,sk_c7)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1500,f1]) ).

fof(f1500,plain,
    ( sk_c6 = multiply(identity,sk_c5)
    | identity = multiply(sk_c1,sk_c7)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1136,f874]) ).

fof(f1136,plain,
    ( sk_c6 = multiply(sk_c3,sk_c5)
    | identity = multiply(sk_c1,sk_c7)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1135,f567]) ).

fof(f1135,plain,
    ( identity = multiply(sk_c1,sk_c7)
    | sk_c6 = multiply(sk_c4,sk_c5)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f13,f850]) ).

fof(f1567,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1566]) ).

fof(f1566,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | spl0_8
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1510,f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f391,f4,f668,f588,f745,f746,f743,f41,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426]) ).

fof(f1510,plain,
    ( sk_c7 = sk_c5
    | identity = sk_c5
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1509,f1324]) ).

fof(f1509,plain,
    ( sk_c5 = multiply(sk_c7,identity)
    | identity = sk_c5
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1508,f850]) ).

fof(f1508,plain,
    ( identity = sk_c5
    | multiply(sk_c7,sk_c6) = sk_c5
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1507,f850]) ).

fof(f1507,plain,
    ( sk_c6 = sk_c5
    | multiply(sk_c7,sk_c6) = sk_c5
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1506,f1]) ).

fof(f1506,plain,
    ( sk_c6 = multiply(identity,sk_c5)
    | multiply(sk_c7,sk_c6) = sk_c5
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1113,f874]) ).

fof(f1565,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1564]) ).

fof(f1564,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | spl0_8
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1563,f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f391,f4,f668,f588,f745,f746,f743,f41,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426]) ).

fof(f1563,plain,
    ( identity = multiply(sk_c7,sk_c5)
    | identity = sk_c5
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1517,f850]) ).

fof(f1517,plain,
    ( identity = sk_c5
    | sk_c6 = multiply(sk_c7,sk_c5)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1516,f850]) ).

fof(f1516,plain,
    ( sk_c6 = sk_c5
    | sk_c6 = multiply(sk_c7,sk_c5)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1515,f1]) ).

fof(f1515,plain,
    ( sk_c6 = multiply(identity,sk_c5)
    | sk_c6 = multiply(sk_c7,sk_c5)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1100,f874]) ).

fof(f1562,plain,
    ( spl0_2
    | spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1561]) ).

fof(f1561,plain,
    ( $false
    | spl0_2
    | spl0_8
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1560,f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f391,f4,f668,f588,f745,f746,f743,f41,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426]) ).

fof(f1558,plain,
    ( spl0_2
    | spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1557]) ).

fof(f1557,plain,
    ( $false
    | spl0_2
    | spl0_8
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1556,f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f391,f4,f668,f588,f745,f746,f743,f41,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426]) ).

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

fof(f1552,plain,
    ( $false
    | spl0_2
    | spl0_8
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1551,f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f391,f4,f668,f588,f745,f746,f743,f41,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426]) ).

fof(f1550,plain,
    ( spl0_2
    | spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1549]) ).

fof(f1549,plain,
    ( $false
    | spl0_2
    | spl0_8
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1548,f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f391,f4,f668,f588,f745,f746,f743,f41,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426]) ).

fof(f1546,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1545]) ).

fof(f1545,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1544,f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f391,f4,f668,f588,f745,f746,f743,f41,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426]) ).

fof(f1544,plain,
    ( identity != sk_c5
    | ~ spl0_1
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1543,f850]) ).

fof(f1543,plain,
    ( sk_c6 != sk_c5
    | ~ spl0_1
    | spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1542,f626]) ).

fof(f1542,plain,
    ( sk_c5 != multiply(sk_c6,identity)
    | spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f668,f846]) ).

fof(f1541,plain,
    ( spl0_2
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1540]) ).

fof(f1540,plain,
    ( $false
    | spl0_2
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1539,f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f391,f4,f668,f588,f745,f746,f743,f41,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426]) ).

fof(f1539,plain,
    ( identity = multiply(sk_c1,identity)
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1538,f850]) ).

fof(f1538,plain,
    ( sk_c6 = multiply(sk_c1,identity)
    | spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f755,f846]) ).

fof(f1537,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1536]) ).

fof(f1536,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1535,f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f391,f4,f668,f588,f745,f746,f743,f41,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426]) ).

fof(f1535,plain,
    ( identity = multiply(identity,sk_c5)
    | identity = sk_c5
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1534,f850]) ).

fof(f1534,plain,
    ( sk_c6 = multiply(identity,sk_c5)
    | identity = sk_c5
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1533,f846]) ).

fof(f1533,plain,
    ( identity = sk_c5
    | sk_c6 = multiply(sk_c7,sk_c5)
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1532,f850]) ).

fof(f1532,plain,
    ( sk_c6 = sk_c5
    | sk_c6 = multiply(sk_c7,sk_c5)
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1531,f626]) ).

fof(f1531,plain,
    ( sk_c5 = multiply(sk_c6,identity)
    | sk_c6 = multiply(sk_c7,sk_c5)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f19,f846]) ).

fof(f1530,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1529]) ).

fof(f1529,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1528,f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f391,f4,f668,f588,f745,f746,f743,f41,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426]) ).

fof(f1528,plain,
    ( identity = sk_c5
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(duplicate_literal_removal,[],[f1527]) ).

fof(f1527,plain,
    ( identity = sk_c5
    | identity = sk_c5
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1526,f850]) ).

fof(f1526,plain,
    ( sk_c6 = sk_c5
    | identity = sk_c5
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1525,f626]) ).

fof(f1525,plain,
    ( sk_c5 = multiply(sk_c6,identity)
    | identity = sk_c5
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1524,f846]) ).

fof(f1524,plain,
    ( identity = sk_c5
    | sk_c5 = multiply(sk_c6,sk_c7)
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1523,f1]) ).

fof(f1523,plain,
    ( sk_c5 = multiply(identity,identity)
    | sk_c5 = multiply(sk_c6,sk_c7)
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1522,f1237]) ).

fof(f1522,plain,
    ( sk_c5 = multiply(sk_c2,identity)
    | sk_c5 = multiply(sk_c6,sk_c7)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f24,f846]) ).

fof(f1521,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1520]) ).

fof(f1520,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1519,f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f391,f4,f668,f588,f745,f746,f743,f41,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426]) ).

fof(f1519,plain,
    ( identity = multiply(identity,sk_c5)
    | identity = sk_c5
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1518,f850]) ).

fof(f1518,plain,
    ( sk_c6 = multiply(identity,sk_c5)
    | identity = sk_c5
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1517,f846]) ).

fof(f1514,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1513]) ).

fof(f1513,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1512,f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f391,f4,f668,f588,f745,f746,f743,f41,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426]) ).

fof(f1512,plain,
    ( identity = sk_c5
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(duplicate_literal_removal,[],[f1511]) ).

fof(f1511,plain,
    ( identity = sk_c5
    | identity = sk_c5
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1510,f846]) ).

fof(f1505,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1504]) ).

fof(f1504,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1503,f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f391,f4,f668,f588,f745,f746,f743,f41,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426]) ).

fof(f1503,plain,
    ( identity = multiply(sk_c1,identity)
    | identity = sk_c5
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1502,f846]) ).

fof(f1499,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1498]) ).

fof(f1498,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1497,f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f391,f4,f668,f588,f745,f746,f743,f41,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426]) ).

fof(f1497,plain,
    ( identity = multiply(sk_c1,identity)
    | identity = sk_c5
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1496,f850]) ).

fof(f1496,plain,
    ( sk_c6 = multiply(sk_c1,identity)
    | identity = sk_c5
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1495,f846]) ).

fof(f1495,plain,
    ( identity = sk_c5
    | sk_c6 = multiply(sk_c1,sk_c7)
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1494,f850]) ).

fof(f1494,plain,
    ( sk_c6 = sk_c5
    | sk_c6 = multiply(sk_c1,sk_c7)
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1493,f626]) ).

fof(f1493,plain,
    ( sk_c5 = multiply(sk_c6,identity)
    | sk_c6 = multiply(sk_c1,sk_c7)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f9,f846]) ).

fof(f1492,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1491]) ).

fof(f1491,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1490,f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f391,f4,f668,f588,f745,f746,f743,f41,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426]) ).

fof(f1490,plain,
    ( identity = multiply(identity,sk_c5)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1489,f1231]) ).

fof(f1489,plain,
    ( identity = inverse(sk_c1)
    | identity = multiply(identity,sk_c5)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1488,f846]) ).

fof(f1486,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1485]) ).

fof(f1485,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1484,f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f391,f4,f668,f588,f745,f746,f743,f41,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426]) ).

fof(f1484,plain,
    ( identity = sk_c5
    | ~ spl0_1
    | spl0_2
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1483,f850]) ).

fof(f1479,plain,
    ( spl0_2
    | ~ spl0_7
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1478]) ).

fof(f1478,plain,
    ( $false
    | spl0_2
    | ~ spl0_7
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1233,f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f391,f4,f668,f588,f745,f746,f743,f41,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426]) ).

fof(f1233,plain,
    ( identity = sk_c5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1232,f1]) ).

fof(f1232,plain,
    ( sk_c5 = multiply(identity,identity)
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1202,f846]) ).

fof(f1477,plain,
    ( spl0_2
    | ~ spl0_7
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1476]) ).

fof(f1476,plain,
    ( $false
    | spl0_2
    | ~ spl0_7
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1235,f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f391,f4,f668,f588,f745,f746,f743,f41,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426]) ).

fof(f1235,plain,
    ( identity = sk_c5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1234,f1]) ).

fof(f1234,plain,
    ( sk_c5 = multiply(identity,identity)
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f864,f846]) ).

fof(f1475,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1474]) ).

fof(f1474,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1473,f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f391,f4,f668,f588,f745,f746,f743,f41,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426]) ).

fof(f1473,plain,
    ( identity = multiply(identity,sk_c5)
    | identity = sk_c5
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1472,f850]) ).

fof(f1472,plain,
    ( sk_c6 = multiply(identity,sk_c5)
    | identity = sk_c5
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1471,f874]) ).

fof(f1471,plain,
    ( sk_c6 = multiply(sk_c3,sk_c5)
    | identity = sk_c5
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1255,f567]) ).

fof(f1255,plain,
    ( identity = sk_c5
    | sk_c6 = multiply(sk_c4,sk_c5)
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1254,f1]) ).

fof(f1254,plain,
    ( sk_c5 = multiply(identity,identity)
    | sk_c6 = multiply(sk_c4,sk_c5)
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1253,f1237]) ).

fof(f1253,plain,
    ( sk_c5 = multiply(sk_c2,identity)
    | sk_c6 = multiply(sk_c4,sk_c5)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f28,f846]) ).

fof(f1470,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1469]) ).

fof(f1469,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1468,f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f392,f553,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f391,f4,f668,f588,f745,f746,f743,f41,f542,f1283,f1293,f407,f1326,f1330,f1331,f1333,f1335,f1324,f1375,f1353,f1383,f1343,f1398,f1399,f1323,f1414,f1445,f1426]) ).

fof(f1468,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != sk_c5
        | identity != multiply(X3,identity)
        | identity != multiply(X6,sk_c5)
        | identity != multiply(X5,identity)
        | sk_c5 != multiply(X4,identity)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | identity != inverse(X3) )
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(duplicate_literal_removal,[],[f1467]) ).

fof(f1467,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != sk_c5
        | identity != multiply(X3,identity)
        | identity != multiply(X6,sk_c5)
        | identity != sk_c5
        | identity != multiply(X5,identity)
        | sk_c5 != multiply(X4,identity)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | identity != inverse(X3) )
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1466,f846]) ).

fof(f1466,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != sk_c5
        | identity != multiply(X3,identity)
        | identity != multiply(X6,sk_c5)
        | identity != sk_c5
        | identity != multiply(X5,identity)
        | sk_c5 != multiply(X4,identity)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | identity != inverse(X3) )
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1465,f1324]) ).

fof(f1465,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c5 != multiply(sk_c7,identity)
        | identity != multiply(X3,identity)
        | identity != multiply(X6,sk_c5)
        | identity != sk_c5
        | identity != multiply(X5,identity)
        | sk_c5 != multiply(X4,identity)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | identity != inverse(X3) )
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1464,f850]) ).

fof(f1464,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(X3,identity)
        | identity != multiply(X6,sk_c5)
        | identity != sk_c5
        | identity != multiply(X5,identity)
        | sk_c5 != multiply(X4,identity)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | multiply(sk_c7,sk_c6) != sk_c5 )
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1463,f850]) ).

fof(f1463,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c6 != multiply(X3,identity)
        | identity != multiply(X6,sk_c5)
        | identity != sk_c5
        | identity != multiply(X5,identity)
        | sk_c5 != multiply(X4,identity)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | multiply(sk_c7,sk_c6) != sk_c5 )
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1462,f846]) ).

fof(f1462,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(X6,sk_c5)
        | identity != sk_c5
        | identity != multiply(X5,identity)
        | sk_c5 != multiply(X4,identity)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | sk_c6 != multiply(X3,sk_c7)
        | multiply(sk_c7,sk_c6) != sk_c5 )
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1461,f850]) ).

fof(f1461,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != sk_c5
        | identity != multiply(X5,identity)
        | sk_c5 != multiply(X4,identity)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | multiply(sk_c7,sk_c6) != sk_c5 )
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(duplicate_literal_removal,[],[f1460]) ).

fof(f1460,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != sk_c5
        | identity != multiply(X5,identity)
        | sk_c5 != multiply(X4,identity)
        | identity != sk_c5
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | multiply(sk_c7,sk_c6) != sk_c5 )
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1459,f850]) ).

fof(f1459,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c6 != sk_c5
        | identity != multiply(X5,identity)
        | sk_c5 != multiply(X4,identity)
        | identity != sk_c5
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | multiply(sk_c7,sk_c6) != sk_c5 )
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1458,f1]) ).

fof(f1458,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c6 != multiply(identity,sk_c5)
        | identity != multiply(X5,identity)
        | sk_c5 != multiply(X4,identity)
        | identity != sk_c5
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | multiply(sk_c7,sk_c6) != sk_c5 )
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1457,f846]) ).

fof(f1457,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(X5,identity)
        | sk_c5 != multiply(X4,identity)
        | identity != sk_c5
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | multiply(sk_c7,sk_c6) != sk_c5 )
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1456,f846]) ).

fof(f1456,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != multiply(X5,identity)
        | sk_c5 != multiply(X4,identity)
        | identity != sk_c5
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | multiply(sk_c7,sk_c6) != sk_c5 )
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1455,f850]) ).

fof(f1455,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c5 != multiply(X4,identity)
        | identity != sk_c5
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | sk_c7 != multiply(X5,sk_c6)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | multiply(sk_c7,sk_c6) != sk_c5 )
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1454,f846]) ).

fof(f1454,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != sk_c5
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | sk_c5 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X5,sk_c6)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | multiply(sk_c7,sk_c6) != sk_c5 )
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1453,f850]) ).

fof(f1453,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c6 != sk_c5
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | sk_c5 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X5,sk_c6)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | multiply(sk_c7,sk_c6) != sk_c5 )
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1452,f626]) ).

fof(f1452,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c5 != multiply(sk_c6,identity)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | sk_c5 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X5,sk_c6)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | multiply(sk_c7,sk_c6) != sk_c5 )
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1451,f846]) ).

fof(f1451,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | sk_c5 != multiply(sk_c6,sk_c7)
        | sk_c5 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X5,sk_c6)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | multiply(sk_c7,sk_c6) != sk_c5 )
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1450,f850]) ).

fof(f1450,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != inverse(X5)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | sk_c6 != inverse(X6)
        | sk_c5 != multiply(sk_c6,sk_c7)
        | sk_c5 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X5,sk_c6)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | multiply(sk_c7,sk_c6) != sk_c5 )
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1449,f850]) ).

fof(f1449,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != inverse(X4)
        | identity != inverse(X3)
        | sk_c6 != inverse(X5)
        | sk_c6 != inverse(X6)
        | sk_c5 != multiply(sk_c6,sk_c7)
        | sk_c5 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X5,sk_c6)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | multiply(sk_c7,sk_c6) != sk_c5 )
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1448,f846]) ).

fof(f1448,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c6 != inverse(X5)
        | sk_c6 != inverse(X6)
        | sk_c5 != multiply(sk_c6,sk_c7)
        | sk_c5 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X5,sk_c6)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | multiply(sk_c7,sk_c6) != sk_c5 )
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f34,f846]) ).

fof(f1447,plain,
    ( spl0_6
    | spl0_6
    | spl0_6
    | spl0_6
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f1314,f848,f844,f667,f36,f555,f555,f555,f555]) ).

fof(f1314,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(X3,identity)
        | identity != multiply(X6,identity)
        | identity != multiply(X5,identity)
        | identity != multiply(X4,identity)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | identity != inverse(X3) )
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1313,f1]) ).

fof(f1313,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(identity,identity)
        | identity != multiply(X3,identity)
        | identity != multiply(X6,identity)
        | identity != multiply(X5,identity)
        | identity != multiply(X4,identity)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | identity != inverse(X3) )
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1312,f846]) ).

fof(f1312,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(sk_c7,identity)
        | identity != multiply(X3,identity)
        | identity != multiply(X6,identity)
        | identity != multiply(X5,identity)
        | identity != multiply(X4,identity)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | identity != inverse(X3) )
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1311,f850]) ).

fof(f1311,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(sk_c7,sk_c6)
        | identity != multiply(X3,identity)
        | identity != multiply(X6,identity)
        | identity != multiply(X5,identity)
        | identity != multiply(X4,identity)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | identity != inverse(X3) )
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1310,f1223]) ).

fof(f1223,plain,
    ( identity = sk_c5
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1222,f850]) ).

fof(f1222,plain,
    ( sk_c6 = sk_c5
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1220,f626]) ).

fof(f1220,plain,
    ( sk_c5 = multiply(sk_c6,identity)
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(superposition,[],[f669,f846]) ).

fof(f1310,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(X3,identity)
        | identity != multiply(X6,identity)
        | identity != multiply(X5,identity)
        | identity != multiply(X4,identity)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | multiply(sk_c7,sk_c6) != sk_c5 )
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1309,f850]) ).

fof(f1309,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c6 != multiply(X3,identity)
        | identity != multiply(X6,identity)
        | identity != multiply(X5,identity)
        | identity != multiply(X4,identity)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | multiply(sk_c7,sk_c6) != sk_c5 )
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1308,f846]) ).

fof(f1308,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(X6,identity)
        | identity != multiply(X5,identity)
        | identity != multiply(X4,identity)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | sk_c6 != multiply(X3,sk_c7)
        | multiply(sk_c7,sk_c6) != sk_c5 )
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1307,f850]) ).

fof(f1307,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c6 != multiply(X6,identity)
        | identity != multiply(X5,identity)
        | identity != multiply(X4,identity)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | sk_c6 != multiply(X3,sk_c7)
        | multiply(sk_c7,sk_c6) != sk_c5 )
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1306,f1223]) ).

fof(f1306,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(X5,identity)
        | identity != multiply(X4,identity)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | multiply(sk_c7,sk_c6) != sk_c5 )
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1305,f850]) ).

fof(f1305,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != sk_c6
        | identity != multiply(X5,identity)
        | identity != multiply(X4,identity)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | multiply(sk_c7,sk_c6) != sk_c5 )
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1304,f1]) ).

fof(f1304,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c6 != multiply(identity,identity)
        | identity != multiply(X5,identity)
        | identity != multiply(X4,identity)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | multiply(sk_c7,sk_c6) != sk_c5 )
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1303,f846]) ).

fof(f1303,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c6 != multiply(sk_c7,identity)
        | identity != multiply(X5,identity)
        | identity != multiply(X4,identity)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | multiply(sk_c7,sk_c6) != sk_c5 )
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1302,f1223]) ).

fof(f1302,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(X5,identity)
        | identity != multiply(X4,identity)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | multiply(sk_c7,sk_c6) != sk_c5 )
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1301,f846]) ).

fof(f1301,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != multiply(X5,identity)
        | identity != multiply(X4,identity)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | multiply(sk_c7,sk_c6) != sk_c5 )
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1300,f850]) ).

fof(f1300,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(X4,identity)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | sk_c7 != multiply(X5,sk_c6)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | multiply(sk_c7,sk_c6) != sk_c5 )
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1299,f1223]) ).

fof(f1299,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c5 != multiply(X4,identity)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | sk_c7 != multiply(X5,sk_c6)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | multiply(sk_c7,sk_c6) != sk_c5 )
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1298,f846]) ).

fof(f1298,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | sk_c5 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X5,sk_c6)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | multiply(sk_c7,sk_c6) != sk_c5 )
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1297,f850]) ).

fof(f1297,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != inverse(X5)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | sk_c6 != inverse(X6)
        | sk_c5 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X5,sk_c6)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | multiply(sk_c7,sk_c6) != sk_c5 )
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1296,f850]) ).

fof(f1296,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != inverse(X4)
        | identity != inverse(X3)
        | sk_c6 != inverse(X5)
        | sk_c6 != inverse(X6)
        | sk_c5 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X5,sk_c6)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | multiply(sk_c7,sk_c6) != sk_c5 )
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1295,f846]) ).

fof(f1295,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c6 != inverse(X5)
        | sk_c6 != inverse(X6)
        | sk_c5 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X5,sk_c6)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | multiply(sk_c7,sk_c6) != sk_c5 )
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1294,f846]) ).

fof(f1294,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c6 != inverse(X5)
        | sk_c6 != inverse(X6)
        | sk_c5 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X5,sk_c6)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | multiply(sk_c7,sk_c6) != sk_c5 )
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f34,f669]) ).

fof(f1204,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1203]) ).

fof(f1203,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1202,f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f38,f173,f175,f32,f181,f187,f189,f60,f396,f407,f392,f542,f553,f540,f539,f416,f403,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f415,f566,f567,f564,f583,f391,f402,f620,f621,f623,f624,f617,f629,f630,f618,f626,f619,f581,f646,f647,f649,f645,f4,f588,f745,f746,f743,f669,f791,f794,f798,f793,f815,f822,f845,f850,f852,f853,f871,f872,f873,f876,f878,f860,f879,f880,f874,f1099,f1104,f1105,f1110,f1111,f884,f930,f882,f41,f1165,f1161,f1143,f1139,f1132,f1117,f1121]) ).

fof(f1121,plain,
    ( sk_c5 = multiply(sk_c7,identity)
    | ~ spl0_1
    | spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1120,f850]) ).

fof(f1120,plain,
    ( multiply(sk_c7,sk_c6) = sk_c5
    | ~ spl0_1
    | spl0_9 ),
    inference(subsumption_resolution,[],[f1119,f845]) ).

fof(f1117,plain,
    ( sk_c5 = multiply(sk_c7,identity)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1116,f850]) ).

fof(f1116,plain,
    ( multiply(sk_c7,sk_c6) = sk_c5
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1115,f845]) ).

fof(f1115,plain,
    ( identity = sk_c7
    | multiply(sk_c7,sk_c6) = sk_c5
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1114,f850]) ).

fof(f1114,plain,
    ( sk_c7 = sk_c6
    | multiply(sk_c7,sk_c6) = sk_c5
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1113,f794]) ).

fof(f1139,plain,
    ( identity = multiply(sk_c1,sk_c7)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1138,f845]) ).

fof(f1138,plain,
    ( identity = sk_c7
    | identity = multiply(sk_c1,sk_c7)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1137,f850]) ).

fof(f1137,plain,
    ( sk_c7 = sk_c6
    | identity = multiply(sk_c1,sk_c7)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1136,f794]) ).

fof(f1143,plain,
    ( identity = multiply(sk_c1,sk_c7)
    | ~ spl0_1
    | spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1142,f850]) ).

fof(f1142,plain,
    ( sk_c6 = multiply(sk_c1,sk_c7)
    | ~ spl0_1
    | spl0_9 ),
    inference(subsumption_resolution,[],[f841,f845]) ).

fof(f1161,plain,
    ( sk_c7 = inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1160,f845]) ).

fof(f1160,plain,
    ( identity = sk_c7
    | sk_c7 = inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1159,f850]) ).

fof(f1159,plain,
    ( sk_c7 = sk_c6
    | sk_c7 = inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1158,f794]) ).

fof(f930,plain,
    ( sk_c7 = multiply(identity,sk_c5)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(superposition,[],[f794,f874]) ).

fof(f884,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c5,X0)
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f867,f1]) ).

fof(f867,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(identity,multiply(sk_c7,X0))
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(superposition,[],[f793,f850]) ).

fof(f1111,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(identity,multiply(sk_c5,X0))
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f822,f874]) ).

fof(f1110,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(identity,multiply(sk_c5,X0))
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f798,f874]) ).

fof(f1105,plain,
    ( identity = multiply(sk_c7,sk_c5)
    | ~ spl0_1
    | spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f985,f850]) ).

fof(f985,plain,
    ( sk_c6 = multiply(sk_c7,sk_c5)
    | ~ spl0_1
    | spl0_9 ),
    inference(subsumption_resolution,[],[f984,f845]) ).

fof(f1104,plain,
    ( identity = multiply(sk_c7,sk_c5)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1103,f850]) ).

fof(f1103,plain,
    ( sk_c6 = multiply(sk_c7,sk_c5)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1102,f845]) ).

fof(f1102,plain,
    ( identity = sk_c7
    | sk_c6 = multiply(sk_c7,sk_c5)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1101,f850]) ).

fof(f1101,plain,
    ( sk_c7 = sk_c6
    | sk_c6 = multiply(sk_c7,sk_c5)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1100,f794]) ).

fof(f1099,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(identity,multiply(sk_c5,X0))
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f815,f874]) ).

fof(f880,plain,
    ( identity = sk_c3
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f863,f743]) ).

fof(f863,plain,
    ( sk_c3 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(superposition,[],[f645,f850]) ).

fof(f879,plain,
    ( ! [X0] : multiply(sk_c3,X0) = X0
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f861,f1]) ).

fof(f861,plain,
    ( ! [X0] : multiply(sk_c3,multiply(identity,X0)) = X0
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(superposition,[],[f619,f850]) ).

fof(f860,plain,
    ( identity = multiply(sk_c3,identity)
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(superposition,[],[f617,f850]) ).

fof(f878,plain,
    ( identity = sk_c3
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f877,f392]) ).

fof(f877,plain,
    ( sk_c3 = multiply(inverse(inverse(identity)),identity)
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f859,f743]) ).

fof(f859,plain,
    ( sk_c3 = multiply(inverse(inverse(inverse(identity))),identity)
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(superposition,[],[f581,f850]) ).

fof(f876,plain,
    ( identity = multiply(identity,sk_c3)
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f875,f743]) ).

fof(f875,plain,
    ( identity = multiply(inverse(identity),sk_c3)
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f858,f743]) ).

fof(f858,plain,
    ( identity = multiply(inverse(inverse(identity)),sk_c3)
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(superposition,[],[f564,f850]) ).

fof(f873,plain,
    ( ! [X0] : multiply(sk_c3,X0) = X0
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f856,f391]) ).

fof(f856,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(identity),X0)
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(superposition,[],[f402,f850]) ).

fof(f872,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c3,X0)) = X0
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f855,f567]) ).

fof(f855,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c4,X0)) = X0
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(superposition,[],[f189,f850]) ).

fof(f871,plain,
    ( identity = multiply(identity,sk_c3)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f854,f567]) ).

fof(f854,plain,
    ( identity = multiply(identity,sk_c4)
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(superposition,[],[f187,f850]) ).

fof(f853,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c3,X0)) = X0
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(superposition,[],[f175,f850]) ).

fof(f852,plain,
    ( identity = multiply(identity,sk_c3)
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(superposition,[],[f173,f850]) ).

fof(f822,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c5,X0))
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f816,f645]) ).

fof(f816,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(inverse(sk_c6),multiply(sk_c5,X0))
    | ~ spl0_8 ),
    inference(superposition,[],[f60,f793]) ).

fof(f815,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c5,X0))
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(superposition,[],[f619,f793]) ).

fof(f798,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c5,X0))
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f794]) ).

fof(f791,plain,
    ( sk_c7 = multiply(sk_c3,sk_c5)
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(superposition,[],[f619,f669]) ).

fof(f1201,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1200]) ).

fof(f1200,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f694,f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f38,f173,f175,f32,f181,f187,f189,f60,f396,f407,f392,f542,f553,f540,f539,f416,f403,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f415,f566,f567,f564,f583,f391,f402,f620,f621,f623,f624,f617,f629,f630,f618,f626,f619,f581,f646,f647,f649,f645,f4,f588,f745,f746,f743,f669,f791,f794,f798,f793,f815,f822,f845,f850,f852,f853,f871,f872,f873,f876,f878,f860,f879,f880,f874,f1099,f1104,f1105,f1110,f1111,f884,f930,f882,f41,f1165,f1161,f1143,f1139,f1132,f1117,f1121]) ).

fof(f694,plain,
    ( sk_c5 = multiply(sk_c5,identity)
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f686,f665]) ).

fof(f686,plain,
    ( multiply(sk_c7,sk_c6) = multiply(sk_c5,identity)
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(superposition,[],[f680,f626]) ).

fof(f1199,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1198]) ).

fof(f1198,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f885,f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f38,f173,f175,f32,f181,f187,f189,f60,f396,f407,f392,f542,f553,f540,f539,f416,f403,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f415,f566,f567,f564,f583,f391,f402,f620,f621,f623,f624,f617,f629,f630,f618,f626,f619,f581,f646,f647,f649,f645,f4,f588,f745,f746,f743,f669,f791,f794,f798,f793,f815,f822,f845,f850,f852,f853,f871,f872,f873,f876,f878,f860,f879,f880,f874,f1099,f1104,f1105,f1110,f1111,f884,f930,f882,f41,f1165,f1161,f1143,f1139,f1132,f1117,f1121]) ).

fof(f885,plain,
    ( sk_c5 = multiply(sk_c5,identity)
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f868,f1]) ).

fof(f868,plain,
    ( multiply(sk_c5,identity) = multiply(identity,sk_c5)
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(superposition,[],[f811,f850]) ).

fof(f811,plain,
    ( multiply(sk_c5,sk_c6) = multiply(sk_c6,sk_c5)
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(superposition,[],[f793,f665]) ).

fof(f1197,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1196]) ).

fof(f1196,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f864,f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f38,f173,f175,f32,f181,f187,f189,f60,f396,f407,f392,f542,f553,f540,f539,f416,f403,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f415,f566,f567,f564,f583,f391,f402,f620,f621,f623,f624,f617,f629,f630,f618,f626,f619,f581,f646,f647,f649,f645,f4,f588,f745,f746,f743,f669,f791,f794,f798,f793,f815,f822,f845,f850,f852,f853,f871,f872,f873,f876,f878,f860,f879,f880,f874,f1099,f1104,f1105,f1110,f1111,f884,f930,f882,f41,f1165,f1161,f1143,f1139,f1132,f1117,f1121]) ).

fof(f1195,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1194]) ).

fof(f1194,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f38,f173,f175,f32,f181,f187,f189,f60,f396,f407,f392,f542,f553,f540,f539,f416,f403,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f415,f566,f567,f564,f583,f391,f402,f620,f621,f623,f624,f617,f629,f630,f618,f626,f619,f581,f646,f647,f649,f645,f4,f588,f745,f746,f743,f669,f791,f794,f798,f793,f815,f822,f845,f850,f852,f853,f871,f872,f873,f876,f878,f860,f879,f880,f874,f1099,f1104,f1105,f1110,f1111,f884,f930,f882,f41,f1165,f1161,f1143,f1139,f1132,f1117,f1121]) ).

fof(f1193,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1192]) ).

fof(f1192,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f38,f173,f175,f32,f181,f187,f189,f60,f396,f407,f392,f542,f553,f540,f539,f416,f403,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f415,f566,f567,f564,f583,f391,f402,f620,f621,f623,f624,f617,f629,f630,f618,f626,f619,f581,f646,f647,f649,f645,f4,f588,f745,f746,f743,f669,f791,f794,f798,f793,f815,f822,f845,f850,f852,f853,f871,f872,f873,f876,f878,f860,f879,f880,f874,f1099,f1104,f1105,f1110,f1111,f884,f930,f882,f1121,f41,f1165,f1161,f1143,f1139,f1132,f1117]) ).

fof(f1191,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1190]) ).

fof(f1190,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f38,f173,f175,f32,f181,f187,f189,f60,f396,f407,f392,f542,f553,f540,f539,f416,f403,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f415,f566,f567,f564,f583,f391,f402,f620,f621,f623,f624,f617,f629,f630,f618,f626,f619,f581,f646,f647,f649,f645,f4,f588,f745,f746,f743,f669,f791,f794,f798,f793,f815,f822,f845,f850,f852,f853,f871,f872,f873,f876,f878,f860,f879,f880,f874,f1099,f1104,f1105,f1110,f1111,f884,f930,f882,f1121,f1117,f41,f1165,f1161,f1143,f1139,f1132]) ).

fof(f1189,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1188]) ).

fof(f1188,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f38,f173,f175,f32,f181,f187,f189,f60,f396,f407,f392,f542,f553,f540,f539,f416,f403,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f415,f566,f567,f564,f583,f391,f402,f620,f621,f623,f624,f617,f629,f630,f618,f626,f619,f581,f646,f647,f649,f645,f4,f588,f745,f746,f743,f669,f791,f794,f798,f793,f815,f822,f845,f850,f852,f853,f871,f872,f873,f876,f878,f860,f879,f880,f874,f1099,f1104,f1105,f1110,f1111,f884,f930,f882,f1121,f1117,f1132,f41,f1165,f1161,f1143,f1139]) ).

fof(f1187,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1186]) ).

fof(f1186,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f38,f173,f175,f32,f181,f187,f189,f60,f396,f407,f392,f542,f553,f540,f539,f416,f403,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f415,f566,f567,f564,f583,f391,f402,f620,f621,f623,f624,f617,f629,f630,f618,f626,f619,f581,f646,f647,f649,f645,f4,f588,f745,f746,f743,f669,f791,f794,f798,f793,f815,f822,f845,f850,f852,f853,f871,f872,f873,f876,f878,f860,f879,f880,f874,f1099,f1104,f1105,f1110,f1111,f884,f930,f882,f1121,f1117,f1132,f1139,f41,f1165,f1161,f1143]) ).

fof(f1185,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1184]) ).

fof(f1184,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1147,f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f38,f173,f175,f32,f181,f187,f189,f60,f396,f407,f392,f542,f553,f540,f539,f416,f403,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f415,f566,f567,f564,f583,f391,f402,f620,f621,f623,f624,f617,f629,f630,f618,f626,f619,f581,f646,f647,f649,f645,f4,f588,f745,f746,f743,f669,f791,f794,f798,f793,f815,f822,f845,f850,f852,f853,f871,f872,f873,f876,f878,f860,f879,f880,f874,f1099,f1104,f1105,f1110,f1111,f884,f930,f882,f1121,f1117,f1132,f1139,f1143,f41,f1165,f1161]) ).

fof(f1147,plain,
    ( identity = multiply(sk_c5,sk_c2)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1146,f850]) ).

fof(f1183,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1182]) ).

fof(f1182,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f563,f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f38,f173,f175,f32,f181,f187,f189,f60,f396,f407,f392,f542,f553,f540,f539,f416,f403,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f415,f566,f567,f564,f583,f391,f402,f620,f621,f623,f624,f617,f629,f630,f618,f626,f619,f581,f646,f647,f649,f645,f4,f588,f745,f746,f743,f669,f791,f794,f798,f793,f815,f822,f845,f850,f852,f853,f871,f872,f873,f876,f878,f860,f879,f880,f874,f1099,f1104,f1105,f1110,f1111,f884,f930,f882,f1121,f1117,f1132,f1139,f1143,f41,f1165,f1161]) ).

fof(f1181,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1180]) ).

fof(f1180,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f559,f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f38,f173,f175,f32,f181,f187,f189,f60,f396,f407,f392,f542,f553,f540,f539,f416,f403,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f415,f566,f567,f564,f583,f391,f402,f620,f621,f623,f624,f617,f629,f630,f618,f626,f619,f581,f646,f647,f649,f645,f4,f588,f745,f746,f743,f669,f791,f794,f798,f793,f815,f822,f845,f850,f852,f853,f871,f872,f873,f876,f878,f860,f879,f880,f874,f1099,f1104,f1105,f1110,f1111,f884,f930,f882,f1121,f1117,f1132,f1139,f1143,f41,f1165,f1161]) ).

fof(f1179,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1178]) ).

fof(f1178,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f558,f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f38,f173,f175,f32,f181,f187,f189,f60,f396,f407,f392,f542,f553,f540,f539,f416,f403,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f415,f566,f567,f564,f583,f391,f402,f620,f621,f623,f624,f617,f629,f630,f618,f626,f619,f581,f646,f647,f649,f645,f4,f588,f745,f746,f743,f669,f791,f794,f798,f793,f815,f822,f845,f850,f852,f853,f871,f872,f873,f876,f878,f860,f879,f880,f874,f1099,f1104,f1105,f1110,f1111,f884,f930,f882,f1121,f1117,f1132,f1139,f1143,f41,f1165,f1161]) ).

fof(f1177,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1176]) ).

fof(f1176,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f561,f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f38,f173,f175,f32,f181,f187,f189,f60,f396,f407,f392,f542,f553,f540,f539,f416,f403,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f415,f566,f567,f564,f583,f391,f402,f620,f621,f623,f624,f617,f629,f630,f618,f626,f619,f581,f646,f647,f649,f645,f4,f588,f745,f746,f743,f669,f791,f794,f798,f793,f815,f822,f845,f850,f852,f853,f871,f872,f873,f876,f878,f860,f879,f880,f874,f1099,f1104,f1105,f1110,f1111,f884,f930,f882,f1121,f1117,f1132,f1139,f1143,f41,f1165,f1161]) ).

fof(f1175,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1174]) ).

fof(f1174,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f38,f173,f175,f32,f181,f187,f189,f60,f396,f407,f392,f542,f553,f540,f539,f416,f403,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f415,f566,f567,f564,f583,f391,f402,f620,f621,f623,f624,f617,f629,f630,f618,f626,f619,f581,f646,f647,f649,f645,f4,f588,f745,f746,f743,f669,f791,f794,f798,f793,f815,f822,f845,f850,f852,f853,f871,f872,f873,f876,f878,f860,f879,f880,f874,f1099,f1104,f1105,f1110,f1111,f884,f930,f882,f1121,f1117,f1132,f1139,f1143,f41,f1165,f1161]) ).

fof(f1173,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1172]) ).

fof(f1172,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f38,f173,f175,f32,f181,f187,f189,f60,f396,f407,f392,f542,f553,f540,f539,f416,f403,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f415,f566,f567,f564,f583,f391,f402,f620,f621,f623,f624,f617,f629,f630,f618,f626,f619,f581,f646,f647,f649,f645,f4,f588,f745,f746,f743,f669,f791,f794,f798,f793,f815,f822,f845,f850,f852,f853,f871,f872,f873,f876,f878,f860,f879,f880,f874,f1099,f1104,f1105,f1110,f1111,f884,f930,f882,f1121,f1117,f1132,f1139,f1143,f1161,f41,f1165]) ).

fof(f1171,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1170]) ).

fof(f1170,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f38,f173,f175,f32,f181,f187,f189,f60,f396,f407,f392,f542,f553,f540,f539,f416,f403,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f415,f566,f567,f564,f583,f391,f402,f620,f621,f623,f624,f617,f629,f630,f618,f626,f619,f581,f646,f647,f649,f645,f4,f588,f745,f746,f743,f669,f791,f794,f798,f793,f815,f822,f845,f850,f852,f853,f871,f872,f873,f876,f878,f860,f879,f880,f874,f1099,f1104,f1105,f1110,f1111,f884,f930,f882,f1121,f1117,f1132,f1139,f1143,f1161,f1165,f41]) ).

fof(f1169,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1168]) ).

fof(f1168,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f41,f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f38,f173,f175,f32,f60,f396,f407,f392,f542,f553,f539,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f415,f566,f564,f583,f391,f402,f620,f621,f623,f624,f617,f629,f630,f618,f626,f619,f581,f646,f647,f649,f645,f4,f588,f745,f746,f743,f845,f850,f852,f853,f873,f876,f878,f860,f879,f880,f874,f1105,f1123,f1121,f1132,f1143,f1165]) ).

fof(f1123,plain,
    ( sk_c5 != multiply(sk_c7,identity)
    | spl0_7
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f664,f850]) ).

fof(f664,plain,
    ( multiply(sk_c7,sk_c6) != sk_c5
    | spl0_7 ),
    inference(avatar_component_clause,[],[f663]) ).

fof(f1167,plain,
    ( ~ spl0_1
    | spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1166]) ).

fof(f1166,plain,
    ( $false
    | ~ spl0_1
    | spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f38,f173,f175,f32,f60,f396,f407,f392,f542,f553,f539,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f415,f566,f564,f583,f391,f402,f620,f621,f623,f624,f617,f629,f630,f618,f626,f619,f581,f646,f647,f649,f645,f4,f588,f745,f746,f743,f845,f850,f852,f853,f873,f876,f878,f860,f879,f880,f874,f1105,f1123,f1121,f1132,f1143,f1165]) ).

fof(f1163,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1162]) ).

fof(f1162,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1161,f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f38,f173,f175,f32,f60,f396,f407,f392,f542,f553,f539,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f415,f566,f564,f583,f391,f402,f620,f621,f623,f624,f617,f629,f630,f618,f626,f619,f581,f646,f647,f649,f645,f4,f588,f745,f746,f743,f845,f850,f852,f853,f873,f876,f878,f860,f879,f880,f874,f1105,f1123,f1121,f1132,f1143]) ).

fof(f1157,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1156]) ).

fof(f1156,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f561,f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f38,f173,f175,f32,f60,f396,f407,f392,f542,f553,f539,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f415,f566,f564,f583,f391,f402,f620,f621,f623,f624,f617,f629,f630,f618,f626,f619,f581,f646,f647,f649,f645,f4,f588,f745,f746,f743,f845,f850,f852,f853,f873,f876,f878,f860,f879,f880,f874,f1105,f1123,f1121,f1132,f1143]) ).

fof(f1155,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1154]) ).

fof(f1154,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f558,f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f38,f173,f175,f32,f60,f396,f407,f392,f542,f553,f539,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f415,f566,f564,f583,f391,f402,f620,f621,f623,f624,f617,f629,f630,f618,f626,f619,f581,f646,f647,f649,f645,f4,f588,f745,f746,f743,f845,f850,f852,f853,f873,f876,f878,f860,f879,f880,f874,f1105,f1123,f1121,f1132,f1143]) ).

fof(f1153,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1152]) ).

fof(f1152,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f559,f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f38,f173,f175,f32,f60,f396,f407,f392,f542,f553,f539,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f415,f566,f564,f583,f391,f402,f620,f621,f623,f624,f617,f629,f630,f618,f626,f619,f581,f646,f647,f649,f645,f4,f588,f745,f746,f743,f845,f850,f852,f853,f873,f876,f878,f860,f879,f880,f874,f1105,f1123,f1121,f1132,f1143]) ).

fof(f1151,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1150]) ).

fof(f1150,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f563,f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f38,f173,f175,f32,f60,f396,f407,f392,f542,f553,f539,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f415,f566,f564,f583,f391,f402,f620,f621,f623,f624,f617,f629,f630,f618,f626,f619,f581,f646,f647,f649,f645,f4,f588,f745,f746,f743,f845,f850,f852,f853,f873,f876,f878,f860,f879,f880,f874,f1105,f1123,f1121,f1132,f1143]) ).

fof(f1149,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1148]) ).

fof(f1148,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1147,f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f38,f173,f175,f32,f60,f396,f407,f392,f542,f553,f539,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f415,f566,f564,f583,f391,f402,f620,f621,f623,f624,f617,f629,f630,f618,f626,f619,f581,f646,f647,f649,f645,f4,f588,f745,f746,f743,f845,f850,f852,f853,f873,f876,f878,f860,f879,f880,f874,f1105,f1123,f1121,f1132,f1143]) ).

fof(f1145,plain,
    ( ~ spl0_1
    | spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1144]) ).

fof(f1144,plain,
    ( $false
    | ~ spl0_1
    | spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f38,f173,f175,f32,f60,f396,f407,f392,f542,f553,f539,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f415,f566,f564,f583,f391,f402,f620,f621,f623,f624,f617,f629,f630,f618,f626,f619,f581,f646,f647,f649,f645,f4,f588,f745,f746,f743,f845,f850,f852,f853,f873,f876,f878,f860,f879,f880,f874,f1105,f1123,f1121,f1132,f1143]) ).

fof(f1141,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1140]) ).

fof(f1140,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1139,f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f38,f173,f175,f32,f60,f396,f407,f392,f542,f553,f539,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f415,f566,f564,f583,f391,f402,f620,f621,f623,f624,f617,f629,f630,f618,f626,f619,f581,f646,f647,f649,f645,f4,f588,f745,f746,f743,f845,f850,f852,f853,f873,f876,f878,f860,f879,f880,f874,f1105,f1123,f1121,f1132]) ).

fof(f1134,plain,
    ( ~ spl0_1
    | spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1133]) ).

fof(f1133,plain,
    ( $false
    | ~ spl0_1
    | spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f38,f173,f175,f32,f60,f396,f407,f392,f542,f553,f539,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f415,f566,f564,f583,f391,f402,f620,f621,f623,f624,f617,f629,f630,f618,f626,f619,f581,f646,f647,f649,f645,f4,f588,f745,f746,f743,f845,f850,f852,f853,f873,f876,f878,f860,f879,f880,f874,f1105,f1123,f1121,f1132]) ).

fof(f1130,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1129]) ).

fof(f1129,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1117,f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f38,f173,f175,f32,f60,f396,f407,f392,f542,f553,f539,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f415,f566,f564,f583,f391,f402,f620,f621,f623,f624,f617,f629,f630,f618,f626,f619,f581,f646,f647,f649,f645,f4,f588,f745,f746,f743,f845,f850,f852,f853,f873,f876,f878,f860,f879,f880,f874,f1105,f1123,f1121]) ).

fof(f1128,plain,
    ( ~ spl0_1
    | spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1127]) ).

fof(f1127,plain,
    ( $false
    | ~ spl0_1
    | spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f17,f14,f15,f18,f1,f2,f16,f3,f27,f26,f22,f21,f12,f11,f7,f6,f31,f38,f173,f175,f32,f60,f396,f407,f392,f542,f553,f539,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f415,f566,f564,f583,f391,f402,f620,f621,f623,f624,f617,f629,f630,f618,f626,f619,f581,f646,f647,f649,f645,f4,f588,f745,f746,f743,f845,f850,f852,f853,f873,f876,f878,f860,f879,f880,f874,f1105,f1123,f1121]) ).

fof(f1126,plain,
    ( ~ spl0_2
    | spl0_7
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1125]) ).

fof(f1125,plain,
    ( $false
    | ~ spl0_2
    | spl0_7
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f17,f14,f15,f18,f1,f2,f16,f42,f44,f3,f63,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f407,f392,f542,f553,f541,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f418,f573,f571,f586,f391,f401,f594,f595,f597,f598,f591,f603,f604,f592,f600,f593,f584,f658,f659,f661,f4,f657,f588,f745,f746,f743,f789,f669,f793,f809,f850,f1109,f884,f882,f1112,f1124]) ).

fof(f1124,plain,
    ( sk_c7 != sk_c5
    | ~ spl0_2
    | spl0_7
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1123,f600]) ).

fof(f1112,plain,
    ( sk_c5 = multiply(sk_c5,identity)
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f808,f669]) ).

fof(f808,plain,
    ( multiply(sk_c6,sk_c7) = multiply(sk_c5,identity)
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(superposition,[],[f793,f600]) ).

fof(f1109,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c1,X0)) = X0
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1108,f1]) ).

fof(f1108,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c1,X0))
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f809,f850]) ).

fof(f809,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c5,multiply(sk_c1,X0))
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(superposition,[],[f793,f63]) ).

fof(f1096,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1095]) ).

fof(f1095,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1094,f845]) ).

fof(f1094,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1093,f617]) ).

fof(f851,plain,
    ( spl0_9
    | spl0_10
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f842,f40,f36,f848,f844]) ).

fof(f842,plain,
    ( identity = sk_c6
    | identity = sk_c7
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f841,f591]) ).

fof(f788,plain,
    ( ~ spl0_2
    | ~ spl0_7
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f787]) ).

fof(f787,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_7
    | spl0_8 ),
    inference(global_subsumption,[],[f17,f14,f15,f18,f1,f2,f16,f42,f44,f3,f63,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f407,f392,f542,f553,f541,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f418,f573,f571,f586,f391,f401,f594,f595,f597,f598,f591,f603,f604,f592,f600,f593,f584,f658,f659,f661,f4,f657,f665,f678,f668,f681,f684,f680,f691,f699,f588,f745,f746,f743,f756,f782,f783,f786]) ).

fof(f786,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c5,X0)
    | ~ spl0_2
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f771,f1]) ).

fof(f771,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c7,multiply(identity,X0))
    | ~ spl0_2
    | ~ spl0_7
    | spl0_8 ),
    inference(superposition,[],[f680,f756]) ).

fof(f783,plain,
    ( sk_c7 != sk_c5
    | ~ spl0_2
    | spl0_8 ),
    inference(forward_demodulation,[],[f770,f1]) ).

fof(f770,plain,
    ( sk_c5 != multiply(identity,sk_c7)
    | ~ spl0_2
    | spl0_8 ),
    inference(superposition,[],[f668,f756]) ).

fof(f782,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_2
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f769,f600]) ).

fof(f769,plain,
    ( sk_c5 = multiply(sk_c7,identity)
    | ~ spl0_2
    | ~ spl0_7
    | spl0_8 ),
    inference(superposition,[],[f665,f756]) ).

fof(f756,plain,
    ( identity = sk_c6
    | ~ spl0_2
    | spl0_8 ),
    inference(forward_demodulation,[],[f755,f591]) ).

fof(f699,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c1,multiply(sk_c5,X0))
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f692,f657]) ).

fof(f692,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(sk_c7),multiply(sk_c5,X0))
    | ~ spl0_7 ),
    inference(superposition,[],[f60,f680]) ).

fof(f691,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c1,multiply(sk_c5,X0))
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(superposition,[],[f593,f680]) ).

fof(f684,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c1,multiply(sk_c5,X0))
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(superposition,[],[f3,f681]) ).

fof(f678,plain,
    ( sk_c6 = multiply(sk_c1,sk_c5)
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(superposition,[],[f593,f665]) ).

fof(f785,plain,
    ( ~ spl0_2
    | ~ spl0_7
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f784]) ).

fof(f784,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_7
    | spl0_8 ),
    inference(global_subsumption,[],[f17,f14,f15,f18,f1,f2,f16,f42,f44,f3,f63,f27,f26,f22,f21,f12,f11,f7,f6,f31,f32,f60,f396,f407,f392,f542,f553,f541,f34,f28,f25,f24,f23,f20,f19,f13,f10,f9,f8,f5,f33,f30,f29,f418,f573,f571,f586,f391,f401,f594,f595,f597,f598,f591,f603,f604,f592,f600,f593,f584,f658,f659,f661,f4,f657,f665,f678,f668,f681,f684,f680,f691,f699,f588,f745,f746,f743,f756,f782,f783]) ).

fof(f670,plain,
    ( spl0_7
    | spl0_8 ),
    inference(avatar_split_clause,[],[f4,f667,f663]) ).

fof(f557,plain,
    ( spl0_6
    | spl0_6
    | spl0_6
    | spl0_6
    | ~ spl0_1
    | ~ spl0_4
    | spl0_5 ),
    inference(avatar_split_clause,[],[f522,f183,f179,f36,f555,f555,f555,f555]) ).

fof(f522,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | identity != multiply(X4,identity)
        | identity != multiply(X5,identity)
        | identity != multiply(X6,identity)
        | identity != multiply(X3,identity) )
    | ~ spl0_1
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f521,f442]) ).

fof(f442,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | spl0_5 ),
    inference(forward_demodulation,[],[f441,f2]) ).

fof(f441,plain,
    ( sk_c7 = multiply(inverse(sk_c6),sk_c6)
    | ~ spl0_1
    | spl0_5 ),
    inference(forward_demodulation,[],[f409,f197]) ).

fof(f197,plain,
    ( sk_c6 = sk_c5
    | ~ spl0_1
    | spl0_5 ),
    inference(superposition,[],[f195,f192]) ).

fof(f192,plain,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | spl0_5 ),
    inference(subsumption_resolution,[],[f29,f184]) ).

fof(f184,plain,
    ( sk_c7 != inverse(sk_c2)
    | spl0_5 ),
    inference(avatar_component_clause,[],[f183]) ).

fof(f195,plain,
    ( sk_c6 = multiply(sk_c6,sk_c7)
    | ~ spl0_1
    | spl0_5 ),
    inference(superposition,[],[f175,f194]) ).

fof(f194,plain,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | spl0_5 ),
    inference(subsumption_resolution,[],[f30,f184]) ).

fof(f409,plain,
    ( sk_c7 = multiply(inverse(sk_c6),sk_c5)
    | spl0_5 ),
    inference(superposition,[],[f60,f192]) ).

fof(f521,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | identity != multiply(X4,identity)
        | identity != multiply(X5,identity)
        | identity != multiply(X6,identity)
        | identity != multiply(X3,identity)
        | sk_c7 != inverse(X4) )
    | ~ spl0_1
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f520,f442]) ).

fof(f520,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != inverse(X5)
        | identity != inverse(X6)
        | identity != multiply(X4,identity)
        | identity != multiply(X5,identity)
        | identity != multiply(X6,identity)
        | identity != multiply(X3,identity)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4) )
    | ~ spl0_1
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f519,f442]) ).

fof(f519,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != inverse(X6)
        | identity != multiply(X4,identity)
        | identity != multiply(X5,identity)
        | identity != multiply(X6,identity)
        | identity != multiply(X3,identity)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4) )
    | ~ spl0_1
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f518,f442]) ).

fof(f518,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(X4,identity)
        | identity != multiply(X5,identity)
        | identity != multiply(X6,identity)
        | identity != multiply(X3,identity)
        | sk_c7 != inverse(X6)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4) )
    | ~ spl0_1
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f517,f442]) ).

fof(f517,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(X5,identity)
        | identity != multiply(X6,identity)
        | identity != multiply(X3,identity)
        | sk_c7 != multiply(X4,sk_c7)
        | sk_c7 != inverse(X6)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4) )
    | ~ spl0_1
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f516,f442]) ).

fof(f516,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(X6,identity)
        | identity != multiply(X3,identity)
        | sk_c7 != multiply(X5,sk_c7)
        | sk_c7 != multiply(X4,sk_c7)
        | sk_c7 != inverse(X6)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4) )
    | ~ spl0_1
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f515,f442]) ).

fof(f515,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(X3,identity)
        | sk_c7 != multiply(X6,sk_c7)
        | sk_c7 != multiply(X5,sk_c7)
        | sk_c7 != multiply(X4,sk_c7)
        | sk_c7 != inverse(X6)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4) )
    | ~ spl0_1
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f386,f442]) ).

fof(f386,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != multiply(X3,sk_c7)
        | sk_c7 != multiply(X6,sk_c7)
        | sk_c7 != multiply(X5,sk_c7)
        | sk_c7 != multiply(X4,sk_c7)
        | sk_c7 != inverse(X6)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4) )
    | ~ spl0_1
    | ~ spl0_4
    | spl0_5 ),
    inference(subsumption_resolution,[],[f385,f287]) ).

fof(f287,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | ~ spl0_1
    | ~ spl0_4
    | spl0_5 ),
    inference(superposition,[],[f250,f259]) ).

fof(f259,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_1
    | ~ spl0_4
    | spl0_5 ),
    inference(superposition,[],[f250,f195]) ).

fof(f250,plain,
    ( ! [X0] : multiply(sk_c6,X0) = X0
    | ~ spl0_1
    | ~ spl0_4
    | spl0_5 ),
    inference(superposition,[],[f189,f235]) ).

fof(f235,plain,
    ( ! [X0] : multiply(sk_c4,X0) = X0
    | ~ spl0_1
    | spl0_5 ),
    inference(superposition,[],[f203,f175]) ).

fof(f203,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c4,multiply(sk_c6,X0))
    | ~ spl0_1
    | spl0_5 ),
    inference(superposition,[],[f3,f201]) ).

fof(f201,plain,
    ( sk_c6 = multiply(sk_c4,sk_c6)
    | ~ spl0_1
    | spl0_5 ),
    inference(forward_demodulation,[],[f200,f197]) ).

fof(f200,plain,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | spl0_5 ),
    inference(subsumption_resolution,[],[f33,f184]) ).

fof(f385,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c6 != multiply(sk_c7,sk_c6)
        | sk_c7 != multiply(X3,sk_c7)
        | sk_c7 != multiply(X6,sk_c7)
        | sk_c7 != multiply(X5,sk_c7)
        | sk_c7 != multiply(X4,sk_c7)
        | sk_c7 != inverse(X6)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4) )
    | ~ spl0_1
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f384,f197]) ).

fof(f384,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != multiply(X3,sk_c7)
        | sk_c7 != multiply(X6,sk_c7)
        | sk_c7 != multiply(X5,sk_c7)
        | sk_c7 != multiply(X4,sk_c7)
        | sk_c7 != inverse(X6)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | multiply(sk_c7,sk_c6) != sk_c5 )
    | ~ spl0_1
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f383,f259]) ).

fof(f383,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != multiply(X6,sk_c7)
        | sk_c7 != multiply(X5,sk_c7)
        | sk_c7 != multiply(X4,sk_c7)
        | sk_c7 != inverse(X6)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(X3,sk_c7)
        | multiply(sk_c7,sk_c6) != sk_c5 )
    | ~ spl0_1
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f382,f259]) ).

fof(f382,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c6 != multiply(X6,sk_c6)
        | sk_c7 != multiply(X5,sk_c7)
        | sk_c7 != multiply(X4,sk_c7)
        | sk_c7 != inverse(X6)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(X3,sk_c7)
        | multiply(sk_c7,sk_c6) != sk_c5 )
    | ~ spl0_1
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f381,f197]) ).

fof(f381,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != multiply(X5,sk_c7)
        | sk_c7 != multiply(X4,sk_c7)
        | sk_c7 != inverse(X6)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | multiply(sk_c7,sk_c6) != sk_c5 )
    | ~ spl0_1
    | ~ spl0_4
    | spl0_5 ),
    inference(subsumption_resolution,[],[f380,f287]) ).

fof(f380,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c6 != multiply(sk_c7,sk_c6)
        | sk_c7 != multiply(X5,sk_c7)
        | sk_c7 != multiply(X4,sk_c7)
        | sk_c7 != inverse(X6)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | multiply(sk_c7,sk_c6) != sk_c5 )
    | ~ spl0_1
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f379,f197]) ).

fof(f379,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != multiply(X5,sk_c7)
        | sk_c7 != multiply(X4,sk_c7)
        | sk_c7 != inverse(X6)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | multiply(sk_c7,sk_c6) != sk_c5 )
    | ~ spl0_1
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f378,f259]) ).

fof(f378,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != multiply(X4,sk_c7)
        | sk_c7 != inverse(X6)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c7 != multiply(X5,sk_c6)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | multiply(sk_c7,sk_c6) != sk_c5 )
    | ~ spl0_1
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f377,f259]) ).

fof(f377,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c6 != multiply(X4,sk_c7)
        | sk_c7 != inverse(X6)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c7 != multiply(X5,sk_c6)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | multiply(sk_c7,sk_c6) != sk_c5 )
    | ~ spl0_1
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f376,f197]) ).

fof(f376,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != inverse(X6)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c5 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X5,sk_c6)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | multiply(sk_c7,sk_c6) != sk_c5 )
    | ~ spl0_1
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f375,f259]) ).

fof(f375,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c6 != inverse(X6)
        | sk_c5 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X5,sk_c6)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | multiply(sk_c7,sk_c6) != sk_c5 )
    | ~ spl0_1
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f374,f259]) ).

fof(f374,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c6 != inverse(X5)
        | sk_c6 != inverse(X6)
        | sk_c5 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X5,sk_c6)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | multiply(sk_c7,sk_c6) != sk_c5 )
    | spl0_5 ),
    inference(subsumption_resolution,[],[f34,f192]) ).

fof(f186,plain,
    ( spl0_4
    | spl0_5 ),
    inference(avatar_split_clause,[],[f32,f183,f179]) ).

fof(f172,plain,
    ( spl0_3
    | spl0_3
    | spl0_3
    | spl0_3
    | spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f123,f40,f36,f170,f170,f170,f170]) ).

fof(f43,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f16,f40,f36]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : GRP294-1 : TPTP v8.2.0. Released v2.5.0.
% 0.07/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36  % Computer : n007.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Sun May 19 04:23:38 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  % (32007)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.38  % (32010)WARNING: value z3 for option sas not known
% 0.16/0.38  % (32009)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.38  % (32008)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.38  % (32011)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.38  % (32010)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)
% 0.16/0.38  % (32012)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)
% 0.16/0.38  % (32013)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)
% 0.16/0.38  % (32014)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)
% 0.16/0.39  TRYING [1]
% 0.16/0.39  TRYING [2]
% 0.16/0.39  TRYING [1]
% 0.16/0.39  TRYING [2]
% 0.16/0.39  TRYING [3]
% 0.16/0.40  TRYING [3]
% 0.22/0.40  TRYING [4]
% 0.22/0.41  TRYING [4]
% 0.22/0.41  TRYING [5]
% 0.22/0.45  TRYING [6]
% 0.22/0.45  % (32010)First to succeed.
% 0.22/0.47  % (32010)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-32007"
% 0.22/0.47  % (32010)Refutation found. Thanks to Tanya!
% 0.22/0.47  % SZS status Unsatisfiable for theBenchmark
% 0.22/0.47  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.48  % (32010)------------------------------
% 0.22/0.48  % (32010)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.48  % (32010)Termination reason: Refutation
% 0.22/0.48  
% 0.22/0.48  % (32010)Memory used [KB]: 1680
% 0.22/0.48  % (32010)Time elapsed: 0.091 s
% 0.22/0.48  % (32010)Instructions burned: 177 (million)
% 0.22/0.48  % (32007)Success in time 0.103 s
%------------------------------------------------------------------------------