%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GRP267-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n012.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 05:57:59 EDT 2024

% Result   : Unsatisfiable 0.16s 0.38s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   33
% Syntax   : Number of formulae    :  749 (  19 unt;   0 def)
%            Number of atoms       : 2139 ( 673 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives : 2340 ( 950   ~;1382   |;   0   &)
%                                         (   8 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   4 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :   10 (   8 usr;   9 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   9 con; 0-2 aty)
%            Number of variables   :  160 ( 160   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1550,plain,
    $false,
    inference(avatar_sat_refutation,[],[f35,f78,f401,f512,f516,f523,f531,f534,f539,f543,f547,f651,f703,f905,f918,f933,f938,f941,f945,f949,f960,f971,f1081,f1083,f1089,f1093,f1114,f1171,f1192,f1249,f1252,f1255,f1260,f1307,f1310,f1319,f1323,f1327,f1330,f1333,f1336,f1340,f1345,f1349,f1355,f1358,f1362,f1366,f1368,f1370,f1373,f1377,f1380,f1382,f1385,f1387,f1389,f1436,f1440,f1442,f1444,f1446,f1448,f1450,f1452,f1454,f1457,f1459,f1461,f1465,f1467,f1469,f1471,f1473,f1475,f1477,f1479,f1481,f1483,f1485,f1487,f1489,f1491,f1493,f1495,f1497,f1501,f1503,f1507,f1509,f1514,f1517,f1520,f1523,f1528,f1530,f1532,f1535,f1537,f1539,f1541,f1543,f1545,f1547,f1549]) ).

fof(f1549,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1548]) ).

fof(f1548,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f8,f38,f39,f40,f41,f42,f43,f44,f3,f51,f53,f26,f59,f79,f82,f60,f83,f87,f88,f89,f94,f92,f96,f93,f99,f49,f90,f50,f116,f117,f127,f124,f129,f132,f126,f133,f123,f137,f134,f140,f142,f120,f144,f148,f143,f149,f151,f145,f156,f158,f159,f152,f161,f162,f163,f166,f170,f174,f169,f176,f180,f160,f182,f179,f188,f190,f186,f191,f193,f194,f212,f201,f203,f205,f206,f208,f209,f213,f211,f214,f257,f226,f55,f282,f284,f286,f335,f336,f338,f297,f347,f351,f364,f365,f366,f369,f370,f377,f395,f21,f20,f18,f17,f12,f11,f6,f5,f24,f23,f15,f14,f280,f281,f834,f827,f862,f876,f864,f582,f861,f9,f7,f22,f19,f199,f29,f196,f368,f1455,f13,f37,f1463,f390,f355,f197,f356,f359,f396,f398,f86,f374,f382,f383,f1371,f384,f4,f1499,f16,f1505,f10,f1512,f1515,f1518,f1521,f1526,f649]) ).

fof(f649,plain,
    ( identity != sk_c7
    | spl0_8 ),
    inference(avatar_component_clause,[],[f648]) ).

fof(f648,plain,
    ( spl0_8
  <=> identity = sk_c7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f1526,plain,
    ( sk_c7 = sk_c4
    | spl0_1 ),
    inference(forward_demodulation,[],[f1525,f1]) ).

fof(f1525,plain,
    ( sk_c4 = multiply(identity,sk_c7)
    | spl0_1 ),
    inference(forward_demodulation,[],[f1524,f199]) ).

fof(f1524,plain,
    ( sk_c4 = multiply(sk_c3,sk_c7)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f20,f29]) ).

fof(f1521,plain,
    ( sk_c6 = multiply(sk_c7,sk_c4)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f17,f29]) ).

fof(f1518,plain,
    ( sk_c7 = multiply(sk_c2,sk_c6)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f11,f29]) ).

fof(f1515,plain,
    ( multiply(sk_c1,sk_c8) = sk_c7
    | spl0_1 ),
    inference(subsumption_resolution,[],[f5,f29]) ).

fof(f1512,plain,
    ( identity = sk_c7
    | spl0_1 ),
    inference(forward_demodulation,[],[f1511,f861]) ).

fof(f1511,plain,
    ( sk_c7 = inverse(identity)
    | spl0_1 ),
    inference(forward_demodulation,[],[f1510,f199]) ).

fof(f1510,plain,
    ( sk_c7 = inverse(sk_c3)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f23,f29]) ).

fof(f10,axiom,
    ( sk_c7 = multiply(sk_c2,sk_c6)
    | sk_c7 = multiply(sk_c5,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).

fof(f1505,plain,
    ( sk_c7 = sk_c4
    | sk_c7 = multiply(sk_c5,sk_c8)
    | spl0_1 ),
    inference(forward_demodulation,[],[f1504,f1]) ).

fof(f1504,plain,
    ( sk_c4 = multiply(identity,sk_c7)
    | sk_c7 = multiply(sk_c5,sk_c8)
    | spl0_1 ),
    inference(forward_demodulation,[],[f19,f199]) ).

fof(f16,axiom,
    ( sk_c6 = multiply(sk_c7,sk_c4)
    | sk_c7 = multiply(sk_c5,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).

fof(f1499,plain,
    ( identity = sk_c7
    | sk_c7 = multiply(sk_c5,sk_c8)
    | spl0_1 ),
    inference(forward_demodulation,[],[f1498,f861]) ).

fof(f1498,plain,
    ( sk_c7 = inverse(identity)
    | sk_c7 = multiply(sk_c5,sk_c8)
    | spl0_1 ),
    inference(forward_demodulation,[],[f22,f199]) ).

fof(f4,axiom,
    ( sk_c7 = multiply(sk_c5,sk_c8)
    | multiply(sk_c1,sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).

fof(f384,plain,
    ( identity = sk_c7
    | spl0_1 ),
    inference(forward_demodulation,[],[f376,f179]) ).

fof(f376,plain,
    ( sk_c7 = multiply(sk_c7,identity)
    | spl0_1 ),
    inference(superposition,[],[f83,f368]) ).

fof(f1371,plain,
    ( identity = sk_c7
    | spl0_1 ),
    inference(forward_demodulation,[],[f226,f861]) ).

fof(f383,plain,
    ( identity = sk_c6
    | spl0_1 ),
    inference(forward_demodulation,[],[f375,f179]) ).

fof(f375,plain,
    ( sk_c6 = multiply(sk_c7,identity)
    | spl0_1 ),
    inference(superposition,[],[f43,f368]) ).

fof(f382,plain,
    ( identity = sk_c7
    | spl0_1 ),
    inference(superposition,[],[f197,f368]) ).

fof(f374,plain,
    ( identity = sk_c7
    | spl0_1 ),
    inference(superposition,[],[f368,f197]) ).

fof(f86,plain,
    ( sk_c7 = sk_c6
    | spl0_1 ),
    inference(superposition,[],[f83,f43]) ).

fof(f398,plain,
    ( identity = sk_c7
    | spl0_1 ),
    inference(forward_demodulation,[],[f392,f169]) ).

fof(f392,plain,
    ( sk_c7 = multiply(sk_c2,identity)
    | spl0_1 ),
    inference(superposition,[],[f42,f383]) ).

fof(f396,plain,
    ( identity = sk_c7
    | spl0_1 ),
    inference(superposition,[],[f86,f383]) ).

fof(f359,plain,
    ( identity = sk_c7
    | spl0_1 ),
    inference(forward_demodulation,[],[f307,f2]) ).

fof(f307,plain,
    ( sk_c7 = multiply(inverse(sk_c4),sk_c4)
    | spl0_1 ),
    inference(superposition,[],[f55,f126]) ).

fof(f356,plain,
    ( identity = sk_c7
    | spl0_1 ),
    inference(forward_demodulation,[],[f305,f2]) ).

fof(f305,plain,
    ( sk_c7 = multiply(inverse(sk_c6),sk_c6)
    | spl0_1 ),
    inference(superposition,[],[f55,f79]) ).

fof(f197,plain,
    ( sk_c7 = sk_c4
    | spl0_1 ),
    inference(superposition,[],[f186,f83]) ).

fof(f355,plain,
    ( identity = sk_c7
    | spl0_1 ),
    inference(forward_demodulation,[],[f304,f2]) ).

fof(f304,plain,
    ( sk_c7 = multiply(inverse(sk_c7),sk_c7)
    | spl0_1 ),
    inference(superposition,[],[f55,f89]) ).

fof(f390,plain,
    ( identity = sk_c7
    | spl0_1 ),
    inference(superposition,[],[f383,f86]) ).

fof(f1463,plain,
    ( identity = sk_c7
    | spl0_1 ),
    inference(forward_demodulation,[],[f1462,f861]) ).

fof(f1462,plain,
    ( sk_c7 = inverse(identity)
    | spl0_1 ),
    inference(forward_demodulation,[],[f39,f199]) ).

fof(f37,plain,
    ( sk_c6 = inverse(sk_c2)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f14,f29]) ).

fof(f13,axiom,
    ( sk_c6 = inverse(sk_c2)
    | sk_c7 = multiply(sk_c5,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).

fof(f1455,plain,
    ( sk_c6 = inverse(sk_c2)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f14,f29]) ).

fof(f368,plain,
    ( identity = sk_c4
    | spl0_1 ),
    inference(forward_demodulation,[],[f367,f2]) ).

fof(f367,plain,
    ( sk_c4 = multiply(inverse(sk_c7),sk_c7)
    | spl0_1 ),
    inference(forward_demodulation,[],[f313,f86]) ).

fof(f313,plain,
    ( sk_c4 = multiply(inverse(sk_c7),sk_c6)
    | spl0_1 ),
    inference(superposition,[],[f55,f43]) ).

fof(f196,plain,
    ( identity = sk_c2
    | spl0_1 ),
    inference(superposition,[],[f186,f93]) ).

fof(f29,plain,
    ( sk_c8 != inverse(sk_c5)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f28]) ).

fof(f28,plain,
    ( spl0_1
  <=> sk_c8 = inverse(sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f199,plain,
    ( identity = sk_c3
    | spl0_1 ),
    inference(superposition,[],[f186,f40]) ).

fof(f19,axiom,
    ( sk_c4 = multiply(sk_c3,sk_c7)
    | sk_c7 = multiply(sk_c5,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).

fof(f22,axiom,
    ( sk_c7 = inverse(sk_c3)
    | sk_c7 = multiply(sk_c5,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).

fof(f7,axiom,
    ( sk_c8 = inverse(sk_c1)
    | sk_c7 = multiply(sk_c5,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).

fof(f9,axiom,
    ( sk_c8 = inverse(sk_c1)
    | sk_c7 = inverse(sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).

fof(f861,plain,
    identity = inverse(identity),
    inference(superposition,[],[f827,f281]) ).

fof(f582,plain,
    ! [X0] : multiply(inverse(inverse(identity)),X0) = X0,
    inference(superposition,[],[f55,f280]) ).

fof(f864,plain,
    identity = inverse(identity),
    inference(superposition,[],[f281,f827]) ).

fof(f876,plain,
    ! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f863,f1]) ).

fof(f863,plain,
    ! [X0,X1] : multiply(identity,X1) = multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)),
    inference(superposition,[],[f3,f827]) ).

fof(f862,plain,
    ! [X0] : multiply(inverse(inverse(inverse(inverse(X0)))),identity) = X0,
    inference(superposition,[],[f55,f827]) ).

fof(f827,plain,
    ! [X0] : identity = multiply(inverse(inverse(inverse(X0))),X0),
    inference(superposition,[],[f55,f281]) ).

fof(f834,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
    inference(forward_demodulation,[],[f828,f1]) ).

fof(f828,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),multiply(identity,X1)),
    inference(superposition,[],[f3,f281]) ).

fof(f281,plain,
    ! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[],[f55,f2]) ).

fof(f280,plain,
    ! [X0] : multiply(inverse(identity),X0) = X0,
    inference(superposition,[],[f55,f1]) ).

fof(f14,axiom,
    ( sk_c6 = inverse(sk_c2)
    | sk_c8 = inverse(sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).

fof(f15,axiom,
    ( sk_c6 = inverse(sk_c2)
    | sk_c7 = inverse(sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).

fof(f23,axiom,
    ( sk_c8 = inverse(sk_c5)
    | sk_c7 = inverse(sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).

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

fof(f5,axiom,
    ( sk_c8 = inverse(sk_c5)
    | multiply(sk_c1,sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).

fof(f6,axiom,
    ( sk_c7 = inverse(sk_c6)
    | multiply(sk_c1,sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).

fof(f11,axiom,
    ( sk_c8 = inverse(sk_c5)
    | sk_c7 = multiply(sk_c2,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).

fof(f12,axiom,
    ( sk_c7 = inverse(sk_c6)
    | sk_c7 = multiply(sk_c2,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).

fof(f17,axiom,
    ( sk_c8 = inverse(sk_c5)
    | sk_c6 = multiply(sk_c7,sk_c4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).

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

fof(f20,axiom,
    ( sk_c8 = inverse(sk_c5)
    | sk_c4 = multiply(sk_c3,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).

fof(f21,axiom,
    ( sk_c7 = inverse(sk_c6)
    | sk_c4 = multiply(sk_c3,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).

fof(f395,plain,
    ( identity = multiply(identity,sk_c7)
    | spl0_1 ),
    inference(superposition,[],[f79,f383]) ).

fof(f377,plain,
    ( identity = multiply(identity,sk_c7)
    | spl0_1 ),
    inference(superposition,[],[f126,f368]) ).

fof(f370,plain,
    ( identity = multiply(inverse(sk_c7),identity)
    | spl0_1 ),
    inference(forward_demodulation,[],[f315,f199]) ).

fof(f315,plain,
    ( sk_c3 = multiply(inverse(sk_c7),identity)
    | spl0_1 ),
    inference(superposition,[],[f55,f40]) ).

fof(f369,plain,
    ( identity = sk_c4
    | spl0_1 ),
    inference(forward_demodulation,[],[f314,f2]) ).

fof(f314,plain,
    ( sk_c4 = multiply(inverse(sk_c4),sk_c4)
    | spl0_1 ),
    inference(superposition,[],[f55,f129]) ).

fof(f366,plain,
    ( identity = sk_c4
    | spl0_1 ),
    inference(forward_demodulation,[],[f312,f2]) ).

fof(f312,plain,
    ( sk_c4 = multiply(inverse(sk_c7),sk_c7)
    | spl0_1 ),
    inference(superposition,[],[f55,f83]) ).

fof(f365,plain,
    ( identity = multiply(inverse(sk_c7),identity)
    | spl0_1 ),
    inference(forward_demodulation,[],[f311,f196]) ).

fof(f311,plain,
    ( sk_c2 = multiply(inverse(sk_c7),identity)
    | spl0_1 ),
    inference(superposition,[],[f55,f93]) ).

fof(f364,plain,
    ( identity = multiply(inverse(sk_c7),identity)
    | spl0_1 ),
    inference(forward_demodulation,[],[f363,f196]) ).

fof(f363,plain,
    ( sk_c2 = multiply(inverse(sk_c7),identity)
    | spl0_1 ),
    inference(forward_demodulation,[],[f310,f86]) ).

fof(f310,plain,
    ( sk_c2 = multiply(inverse(sk_c6),identity)
    | spl0_1 ),
    inference(superposition,[],[f55,f38]) ).

fof(f351,plain,
    ( identity = multiply(inverse(sk_c7),identity)
    | spl0_1 ),
    inference(forward_demodulation,[],[f350,f179]) ).

fof(f350,plain,
    ( multiply(sk_c7,identity) = multiply(inverse(sk_c7),identity)
    | spl0_1 ),
    inference(forward_demodulation,[],[f349,f197]) ).

fof(f349,plain,
    ( multiply(sk_c4,identity) = multiply(inverse(sk_c7),identity)
    | spl0_1 ),
    inference(forward_demodulation,[],[f348,f196]) ).

fof(f348,plain,
    ( multiply(sk_c4,sk_c2) = multiply(inverse(sk_c7),identity)
    | spl0_1 ),
    inference(forward_demodulation,[],[f299,f143]) ).

fof(f299,plain,
    ( multiply(sk_c4,sk_c3) = multiply(inverse(sk_c7),identity)
    | spl0_1 ),
    inference(superposition,[],[f55,f134]) ).

fof(f347,plain,
    ( identity = multiply(inverse(sk_c7),identity)
    | spl0_1 ),
    inference(forward_demodulation,[],[f346,f179]) ).

fof(f346,plain,
    ( multiply(sk_c7,identity) = multiply(inverse(sk_c7),identity)
    | spl0_1 ),
    inference(forward_demodulation,[],[f345,f197]) ).

fof(f345,plain,
    ( multiply(sk_c4,identity) = multiply(inverse(sk_c7),identity)
    | spl0_1 ),
    inference(forward_demodulation,[],[f298,f196]) ).

fof(f298,plain,
    ( multiply(sk_c4,sk_c2) = multiply(inverse(sk_c7),identity)
    | spl0_1 ),
    inference(superposition,[],[f55,f145]) ).

fof(f297,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
    inference(superposition,[],[f55,f55]) ).

fof(f338,plain,
    ( ! [X0] : multiply(inverse(sk_c7),X0) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f337,f160]) ).

fof(f337,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(sk_c7),X0)
    | spl0_1 ),
    inference(forward_demodulation,[],[f294,f86]) ).

fof(f294,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(sk_c6),X0)
    | spl0_1 ),
    inference(superposition,[],[f55,f59]) ).

fof(f336,plain,
    ( ! [X0] : multiply(inverse(sk_c7),X0) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f293,f160]) ).

fof(f293,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(sk_c7),X0)
    | spl0_1 ),
    inference(superposition,[],[f55,f90]) ).

fof(f335,plain,
    ( ! [X0] : multiply(inverse(sk_c7),X0) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f334,f1]) ).

fof(f334,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(sk_c7),X0)
    | spl0_1 ),
    inference(forward_demodulation,[],[f292,f199]) ).

fof(f292,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(sk_c7),X0)
    | spl0_1 ),
    inference(superposition,[],[f55,f60]) ).

fof(f286,plain,
    ( identity = multiply(inverse(sk_c7),identity)
    | spl0_1 ),
    inference(superposition,[],[f55,f179]) ).

fof(f284,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
    inference(superposition,[],[f55,f3]) ).

fof(f282,plain,
    ( ! [X0] : multiply(inverse(sk_c7),X0) = X0
    | spl0_1 ),
    inference(superposition,[],[f55,f186]) ).

fof(f55,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f46,f1]) ).

fof(f46,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[],[f3,f2]) ).

fof(f226,plain,
    ( sk_c7 = inverse(identity)
    | spl0_1 ),
    inference(superposition,[],[f39,f199]) ).

fof(f257,plain,
    ( sk_c7 = inverse(identity)
    | spl0_1 ),
    inference(forward_demodulation,[],[f246,f86]) ).

fof(f246,plain,
    ( sk_c6 = inverse(identity)
    | spl0_1 ),
    inference(superposition,[],[f37,f196]) ).

fof(f214,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c4,X0)) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f159,f186]) ).

fof(f211,plain,
    ( identity = sk_c3
    | spl0_1 ),
    inference(superposition,[],[f40,f186]) ).

fof(f213,plain,
    ( sk_c7 = sk_c4
    | spl0_1 ),
    inference(forward_demodulation,[],[f210,f86]) ).

fof(f210,plain,
    ( sk_c6 = sk_c4
    | spl0_1 ),
    inference(superposition,[],[f43,f186]) ).

fof(f209,plain,
    ( sk_c7 = sk_c4
    | spl0_1 ),
    inference(superposition,[],[f83,f186]) ).

fof(f208,plain,
    ( identity = sk_c2
    | spl0_1 ),
    inference(superposition,[],[f93,f186]) ).

fof(f206,plain,
    ( identity = multiply(sk_c4,sk_c2)
    | spl0_1 ),
    inference(superposition,[],[f145,f186]) ).

fof(f205,plain,
    ( identity = multiply(sk_c4,sk_c3)
    | spl0_1 ),
    inference(superposition,[],[f134,f186]) ).

fof(f203,plain,
    ( ! [X0] : multiply(sk_c3,X0) = X0
    | spl0_1 ),
    inference(superposition,[],[f60,f186]) ).

fof(f201,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c3,X0)
    | spl0_1 ),
    inference(superposition,[],[f50,f186]) ).

fof(f212,plain,
    ( sk_c7 = sk_c4
    | spl0_1 ),
    inference(forward_demodulation,[],[f198,f86]) ).

fof(f198,plain,
    ( sk_c6 = sk_c4
    | spl0_1 ),
    inference(superposition,[],[f186,f43]) ).

fof(f194,plain,
    ( identity = multiply(sk_c4,sk_c2)
    | spl0_1 ),
    inference(superposition,[],[f186,f145]) ).

fof(f193,plain,
    ( identity = multiply(sk_c4,sk_c3)
    | spl0_1 ),
    inference(superposition,[],[f186,f134]) ).

fof(f191,plain,
    ( ! [X0] : multiply(sk_c3,X0) = X0
    | spl0_1 ),
    inference(superposition,[],[f186,f60]) ).

fof(f186,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f183,f86]) ).

fof(f183,plain,
    ( ! [X0] : multiply(sk_c6,X0) = X0
    | spl0_1 ),
    inference(superposition,[],[f59,f160]) ).

fof(f190,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f189,f1]) ).

fof(f189,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(identity,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f179]) ).

fof(f188,plain,
    ( multiply(sk_c3,identity) = multiply(sk_c4,identity)
    | spl0_1 ),
    inference(superposition,[],[f50,f179]) ).

fof(f179,plain,
    ( identity = multiply(sk_c7,identity)
    | spl0_1 ),
    inference(forward_demodulation,[],[f177,f86]) ).

fof(f177,plain,
    ( identity = multiply(sk_c6,identity)
    | spl0_1 ),
    inference(superposition,[],[f59,f169]) ).

fof(f182,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | spl0_1 ),
    inference(superposition,[],[f90,f160]) ).

fof(f160,plain,
    ( ! [X0] : multiply(sk_c2,X0) = X0
    | spl0_1 ),
    inference(superposition,[],[f152,f60]) ).

fof(f180,plain,
    ( ! [X0] : multiply(sk_c2,X0) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f178,f1]) ).

fof(f178,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c2,multiply(identity,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f169]) ).

fof(f176,plain,
    ( identity = multiply(sk_c7,identity)
    | spl0_1 ),
    inference(superposition,[],[f90,f169]) ).

fof(f169,plain,
    ( identity = multiply(sk_c2,identity)
    | spl0_1 ),
    inference(superposition,[],[f152,f40]) ).

fof(f174,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c7,X0))
    | spl0_1 ),
    inference(forward_demodulation,[],[f171,f86]) ).

fof(f171,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c6,multiply(sk_c7,X0))
    | spl0_1 ),
    inference(superposition,[],[f59,f152]) ).

fof(f170,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c7,X0))
    | spl0_1 ),
    inference(superposition,[],[f90,f152]) ).

fof(f166,plain,
    ( identity = multiply(sk_c2,identity)
    | spl0_1 ),
    inference(superposition,[],[f152,f93]) ).

fof(f163,plain,
    ( identity = multiply(sk_c2,identity)
    | spl0_1 ),
    inference(superposition,[],[f152,f145]) ).

fof(f162,plain,
    ( identity = multiply(sk_c2,identity)
    | spl0_1 ),
    inference(superposition,[],[f152,f134]) ).

fof(f161,plain,
    ( ! [X0] : multiply(sk_c2,X0) = X0
    | spl0_1 ),
    inference(superposition,[],[f152,f90]) ).

fof(f152,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c2,multiply(sk_c7,X0))
    | spl0_1 ),
    inference(forward_demodulation,[],[f51,f86]) ).

fof(f159,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c4,X0))
    | spl0_1 ),
    inference(forward_demodulation,[],[f53,f86]) ).

fof(f158,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c4,multiply(sk_c2,X0))) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f157,f1]) ).

fof(f157,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c4,multiply(sk_c2,X0)))
    | spl0_1 ),
    inference(forward_demodulation,[],[f154,f3]) ).

fof(f154,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(multiply(sk_c4,sk_c2),X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f145]) ).

fof(f156,plain,
    ( multiply(sk_c4,sk_c2) = multiply(sk_c4,multiply(sk_c4,sk_c2))
    | spl0_1 ),
    inference(forward_demodulation,[],[f155,f143]) ).

fof(f155,plain,
    ( multiply(sk_c4,sk_c3) = multiply(sk_c4,multiply(sk_c4,sk_c2))
    | spl0_1 ),
    inference(forward_demodulation,[],[f153,f123]) ).

fof(f153,plain,
    ( multiply(sk_c3,identity) = multiply(sk_c4,multiply(sk_c4,sk_c2))
    | spl0_1 ),
    inference(superposition,[],[f50,f145]) ).

fof(f145,plain,
    ( identity = multiply(sk_c7,multiply(sk_c4,sk_c2))
    | spl0_1 ),
    inference(superposition,[],[f60,f120]) ).

fof(f151,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c3,X0)) = multiply(sk_c4,multiply(sk_c2,X0))
    | spl0_1 ),
    inference(forward_demodulation,[],[f150,f3]) ).

fof(f150,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c3,X0)) = multiply(multiply(sk_c4,sk_c2),X0)
    | spl0_1 ),
    inference(superposition,[],[f3,f143]) ).

fof(f149,plain,
    ( identity = multiply(sk_c7,multiply(sk_c4,sk_c2))
    | spl0_1 ),
    inference(superposition,[],[f134,f143]) ).

fof(f143,plain,
    ( multiply(sk_c4,sk_c2) = multiply(sk_c4,sk_c3)
    | spl0_1 ),
    inference(superposition,[],[f120,f123]) ).

fof(f148,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(sk_c4,multiply(sk_c2,X0))
    | spl0_1 ),
    inference(forward_demodulation,[],[f147,f1]) ).

fof(f147,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c2,X0)) = multiply(sk_c3,multiply(identity,X0))
    | spl0_1 ),
    inference(forward_demodulation,[],[f146,f3]) ).

fof(f146,plain,
    ( ! [X0] : multiply(sk_c3,multiply(identity,X0)) = multiply(multiply(sk_c4,sk_c2),X0)
    | spl0_1 ),
    inference(superposition,[],[f3,f120]) ).

fof(f144,plain,
    ( multiply(sk_c4,sk_c2) = multiply(sk_c4,sk_c3)
    | spl0_1 ),
    inference(superposition,[],[f123,f120]) ).

fof(f120,plain,
    ( multiply(sk_c4,sk_c2) = multiply(sk_c3,identity)
    | spl0_1 ),
    inference(superposition,[],[f50,f93]) ).

fof(f142,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c4,multiply(sk_c3,X0))) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f141,f1]) ).

fof(f141,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c4,multiply(sk_c3,X0)))
    | spl0_1 ),
    inference(forward_demodulation,[],[f139,f3]) ).

fof(f139,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(multiply(sk_c4,sk_c3),X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f134]) ).

fof(f140,plain,
    ( multiply(sk_c4,sk_c3) = multiply(sk_c4,multiply(sk_c4,sk_c3))
    | spl0_1 ),
    inference(forward_demodulation,[],[f138,f123]) ).

fof(f138,plain,
    ( multiply(sk_c3,identity) = multiply(sk_c4,multiply(sk_c4,sk_c3))
    | spl0_1 ),
    inference(superposition,[],[f50,f134]) ).

fof(f134,plain,
    ( identity = multiply(sk_c7,multiply(sk_c4,sk_c3))
    | spl0_1 ),
    inference(superposition,[],[f60,f123]) ).

fof(f137,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(sk_c4,multiply(sk_c3,X0))
    | spl0_1 ),
    inference(forward_demodulation,[],[f136,f1]) ).

fof(f136,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c3,X0)) = multiply(sk_c3,multiply(identity,X0))
    | spl0_1 ),
    inference(forward_demodulation,[],[f135,f3]) ).

fof(f135,plain,
    ( ! [X0] : multiply(sk_c3,multiply(identity,X0)) = multiply(multiply(sk_c4,sk_c3),X0)
    | spl0_1 ),
    inference(superposition,[],[f3,f123]) ).

fof(f123,plain,
    ( multiply(sk_c3,identity) = multiply(sk_c4,sk_c3)
    | spl0_1 ),
    inference(superposition,[],[f50,f40]) ).

fof(f133,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c4,multiply(sk_c7,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f126]) ).

fof(f126,plain,
    ( sk_c4 = multiply(sk_c4,sk_c7)
    | spl0_1 ),
    inference(forward_demodulation,[],[f119,f44]) ).

fof(f119,plain,
    ( multiply(sk_c3,sk_c7) = multiply(sk_c4,sk_c7)
    | spl0_1 ),
    inference(superposition,[],[f50,f89]) ).

fof(f132,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c4,multiply(sk_c4,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f129]) ).

fof(f129,plain,
    ( sk_c4 = multiply(sk_c4,sk_c4)
    | spl0_1 ),
    inference(forward_demodulation,[],[f128,f44]) ).

fof(f128,plain,
    ( multiply(sk_c3,sk_c7) = multiply(sk_c4,sk_c4)
    | spl0_1 ),
    inference(forward_demodulation,[],[f122,f86]) ).

fof(f122,plain,
    ( multiply(sk_c4,sk_c4) = multiply(sk_c3,sk_c6)
    | spl0_1 ),
    inference(superposition,[],[f50,f43]) ).

fof(f124,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c4,X0))
    | spl0_1 ),
    inference(superposition,[],[f60,f50]) ).

fof(f127,plain,
    ( sk_c4 = multiply(sk_c4,sk_c4)
    | spl0_1 ),
    inference(forward_demodulation,[],[f121,f44]) ).

fof(f121,plain,
    ( multiply(sk_c3,sk_c7) = multiply(sk_c4,sk_c4)
    | spl0_1 ),
    inference(superposition,[],[f50,f83]) ).

fof(f117,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(sk_c4,multiply(sk_c2,X0))
    | spl0_1 ),
    inference(superposition,[],[f50,f90]) ).

fof(f116,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(sk_c4,multiply(sk_c3,X0))
    | spl0_1 ),
    inference(superposition,[],[f50,f60]) ).

fof(f50,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c7,X0)) = multiply(sk_c4,X0)
    | spl0_1 ),
    inference(superposition,[],[f3,f44]) ).

fof(f90,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c2,X0)) = X0
    | spl0_1 ),
    inference(superposition,[],[f59,f86]) ).

fof(f49,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c8,X0)) = multiply(sk_c7,X0)
    | spl0_1 ),
    inference(superposition,[],[f3,f41]) ).

fof(f99,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c2,X0)) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f98,f1]) ).

fof(f98,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c2,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f93]) ).

fof(f93,plain,
    ( identity = multiply(sk_c7,sk_c2)
    | spl0_1 ),
    inference(superposition,[],[f38,f86]) ).

fof(f96,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c2,multiply(sk_c7,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f92]) ).

fof(f92,plain,
    ( sk_c7 = multiply(sk_c2,sk_c7)
    | spl0_1 ),
    inference(superposition,[],[f42,f86]) ).

fof(f94,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c7,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f89]) ).

fof(f89,plain,
    ( sk_c7 = multiply(sk_c7,sk_c7)
    | spl0_1 ),
    inference(superposition,[],[f79,f86]) ).

fof(f88,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c4,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f83]) ).

fof(f87,plain,
    ( sk_c7 = sk_c6
    | spl0_1 ),
    inference(superposition,[],[f43,f83]) ).

fof(f83,plain,
    ( sk_c7 = multiply(sk_c7,sk_c4)
    | spl0_1 ),
    inference(superposition,[],[f60,f44]) ).

fof(f60,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f54,f1]) ).

fof(f54,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c3,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f40]) ).

fof(f82,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c6,multiply(sk_c7,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f79]) ).

fof(f79,plain,
    ( sk_c6 = multiply(sk_c6,sk_c7)
    | spl0_1 ),
    inference(superposition,[],[f59,f42]) ).

fof(f59,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c2,X0)) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f52,f1]) ).

fof(f52,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c2,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f38]) ).

fof(f26,plain,
    ! [X3,X6,X7,X4] :
      ( sk_c6 != inverse(X4)
      | sk_c8 != inverse(X3)
      | sk_c8 != inverse(X7)
      | sk_c7 != inverse(sk_c6)
      | sk_c7 != inverse(X6)
      | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7))
      | sk_c7 != multiply(X4,sk_c6)
      | sk_c7 != multiply(X7,sk_c8)
      | sk_c7 != multiply(X3,sk_c8) ),
    inference(equality_resolution,[],[f25]) ).

fof(f25,axiom,
    ! [X3,X6,X7,X4,X5] :
      ( sk_c6 != inverse(X4)
      | sk_c8 != inverse(X3)
      | sk_c8 != inverse(X7)
      | sk_c7 != inverse(sk_c6)
      | sk_c7 != inverse(X6)
      | sk_c6 != multiply(sk_c7,X5)
      | sk_c7 != multiply(X4,sk_c6)
      | sk_c7 != multiply(X7,sk_c8)
      | sk_c7 != multiply(X3,sk_c8)
      | multiply(X6,sk_c7) != X5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).

fof(f53,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c4,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f43]) ).

fof(f51,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c2,multiply(sk_c6,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f42]) ).

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

fof(f44,plain,
    ( sk_c4 = multiply(sk_c3,sk_c7)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f20,f29]) ).

fof(f43,plain,
    ( sk_c6 = multiply(sk_c7,sk_c4)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f17,f29]) ).

fof(f42,plain,
    ( sk_c7 = multiply(sk_c2,sk_c6)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f11,f29]) ).

fof(f41,plain,
    ( multiply(sk_c1,sk_c8) = sk_c7
    | spl0_1 ),
    inference(subsumption_resolution,[],[f5,f29]) ).

fof(f40,plain,
    ( identity = multiply(sk_c7,sk_c3)
    | spl0_1 ),
    inference(superposition,[],[f2,f39]) ).

fof(f39,plain,
    ( sk_c7 = inverse(sk_c3)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f23,f29]) ).

fof(f38,plain,
    ( identity = multiply(sk_c6,sk_c2)
    | spl0_1 ),
    inference(superposition,[],[f2,f37]) ).

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

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

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

fof(f1547,plain,
    ( spl0_1
    | ~ spl0_7
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1546]) ).

fof(f1546,plain,
    ( $false
    | spl0_1
    | ~ spl0_7
    | spl0_8 ),
    inference(global_subsumption,[],[f1104,f1,f2,f8,f38,f39,f40,f41,f42,f43,f44,f3,f51,f53,f26,f59,f79,f82,f60,f83,f87,f88,f89,f94,f92,f96,f93,f99,f49,f90,f50,f116,f117,f127,f124,f129,f132,f126,f133,f123,f137,f134,f140,f142,f120,f144,f148,f143,f149,f151,f145,f156,f158,f159,f152,f161,f162,f163,f166,f170,f174,f169,f176,f180,f160,f182,f179,f188,f190,f186,f191,f193,f194,f212,f201,f203,f205,f206,f208,f209,f213,f211,f214,f257,f226,f55,f282,f284,f286,f335,f336,f338,f297,f347,f351,f364,f365,f366,f369,f370,f377,f395,f21,f20,f18,f17,f12,f11,f6,f5,f24,f23,f15,f14,f280,f281,f834,f827,f862,f876,f864,f582,f861,f9,f7,f649,f22,f19,f199,f29,f196,f368,f1455,f13,f37,f1463,f390,f355,f197,f356,f359,f396,f398,f86,f374,f382,f383,f1371,f384,f4,f1499,f16,f1505,f10,f1512,f1515,f1518,f1521,f1526]) ).

fof(f1104,plain,
    ( sk_c7 = sk_c2
    | ~ spl0_7
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f8,f3,f26,f55,f284,f297,f19,f16,f10,f21,f20,f18,f17,f13,f12,f11,f6,f5,f24,f23,f15,f14,f280,f649,f646,f653,f281,f834,f827,f862,f876,f864,f860,f582,f820,f660,f861,f655,f652,f997,f994,f1002,f996,f1019,f1020,f1022,f1023,f1016,f1028,f1029,f1017,f1025,f1018,f1000,f1041,f1042,f1044,f1040,f4,f22,f7,f9,f1098,f1100,f1103]) ).

fof(f1103,plain,
    ( identity = sk_c7
    | sk_c7 = sk_c2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f1102,f1016]) ).

fof(f1102,plain,
    ( sk_c7 = sk_c2
    | sk_c7 = multiply(sk_c2,sk_c6)
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f12,f1040]) ).

fof(f1100,plain,
    ( sk_c7 = sk_c2
    | sk_c6 = multiply(sk_c7,sk_c4)
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f18,f1040]) ).

fof(f1098,plain,
    ( sk_c7 = sk_c2
    | sk_c4 = multiply(sk_c3,sk_c7)
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f21,f1040]) ).

fof(f1040,plain,
    ( inverse(sk_c6) = sk_c2
    | ~ spl0_7 ),
    inference(superposition,[],[f1000,f281]) ).

fof(f1044,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(inverse(inverse(sk_c6))),X0)
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f1043,f1]) ).

fof(f1043,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(inverse(inverse(sk_c6))),multiply(identity,X0))
    | ~ spl0_7 ),
    inference(superposition,[],[f3,f1000]) ).

fof(f1042,plain,
    ( identity = multiply(inverse(inverse(inverse(inverse(sk_c6)))),sk_c2)
    | ~ spl0_7 ),
    inference(superposition,[],[f55,f1000]) ).

fof(f1041,plain,
    ( inverse(sk_c6) = sk_c2
    | ~ spl0_7 ),
    inference(superposition,[],[f281,f1000]) ).

fof(f1000,plain,
    ( sk_c2 = multiply(inverse(inverse(inverse(sk_c6))),identity)
    | ~ spl0_7 ),
    inference(superposition,[],[f55,f994]) ).

fof(f1018,plain,
    ( ! [X0] : multiply(sk_c2,multiply(sk_c6,X0)) = X0
    | ~ spl0_7 ),
    inference(superposition,[],[f996,f55]) ).

fof(f1025,plain,
    ( sk_c6 = multiply(sk_c6,identity)
    | ~ spl0_7 ),
    inference(superposition,[],[f652,f1016]) ).

fof(f1017,plain,
    ( sk_c2 = multiply(sk_c2,identity)
    | ~ spl0_7 ),
    inference(superposition,[],[f996,f655]) ).

fof(f1029,plain,
    ( ! [X0] : multiply(sk_c2,multiply(sk_c6,X0)) = X0
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f1027,f1]) ).

fof(f1027,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c2,multiply(sk_c6,X0))
    | ~ spl0_7 ),
    inference(superposition,[],[f3,f1016]) ).

fof(f1028,plain,
    ( sk_c6 = multiply(sk_c6,identity)
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f1026,f646]) ).

fof(f1026,plain,
    ( sk_c6 = multiply(inverse(sk_c2),identity)
    | ~ spl0_7 ),
    inference(superposition,[],[f55,f1016]) ).

fof(f1016,plain,
    ( identity = multiply(sk_c2,sk_c6)
    | ~ spl0_7 ),
    inference(superposition,[],[f996,f2]) ).

fof(f1023,plain,
    ( ! [X0] : multiply(sk_c2,multiply(sk_c6,X0)) = X0
    | ~ spl0_7 ),
    inference(superposition,[],[f55,f996]) ).

fof(f1022,plain,
    ( sk_c2 = multiply(sk_c2,identity)
    | ~ spl0_7 ),
    inference(superposition,[],[f655,f996]) ).

fof(f1020,plain,
    ( ! [X0] : multiply(inverse(inverse(sk_c6)),multiply(sk_c2,X0)) = X0
    | ~ spl0_7 ),
    inference(superposition,[],[f55,f996]) ).

fof(f1019,plain,
    ( identity = multiply(sk_c2,sk_c6)
    | ~ spl0_7 ),
    inference(superposition,[],[f2,f996]) ).

fof(f996,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(sk_c6),X0)
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f995,f1]) ).

fof(f995,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(sk_c6),multiply(identity,X0))
    | ~ spl0_7 ),
    inference(superposition,[],[f3,f655]) ).

fof(f1002,plain,
    ( ! [X0] : multiply(inverse(inverse(sk_c6)),multiply(sk_c2,X0)) = X0
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f1001,f1]) ).

fof(f1001,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(sk_c6)),multiply(sk_c2,X0))
    | ~ spl0_7 ),
    inference(superposition,[],[f3,f994]) ).

fof(f994,plain,
    ( identity = multiply(inverse(inverse(sk_c6)),sk_c2)
    | ~ spl0_7 ),
    inference(superposition,[],[f55,f655]) ).

fof(f997,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(sk_c6),X0)
    | ~ spl0_7 ),
    inference(superposition,[],[f55,f652]) ).

fof(f652,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c2,X0)) = X0
    | ~ spl0_7 ),
    inference(superposition,[],[f55,f646]) ).

fof(f655,plain,
    ( sk_c2 = multiply(inverse(sk_c6),identity)
    | ~ spl0_7 ),
    inference(superposition,[],[f55,f653]) ).

fof(f660,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c2,X0)) = X0
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f656,f1]) ).

fof(f656,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c2,X0))
    | ~ spl0_7 ),
    inference(superposition,[],[f3,f653]) ).

fof(f820,plain,
    ( sk_c2 = multiply(inverse(sk_c6),identity)
    | ~ spl0_7 ),
    inference(superposition,[],[f281,f646]) ).

fof(f860,plain,
    ( identity = multiply(inverse(inverse(sk_c6)),sk_c2)
    | ~ spl0_7 ),
    inference(superposition,[],[f827,f646]) ).

fof(f653,plain,
    ( identity = multiply(sk_c6,sk_c2)
    | ~ spl0_7 ),
    inference(superposition,[],[f2,f646]) ).

fof(f646,plain,
    ( sk_c6 = inverse(sk_c2)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f644]) ).

fof(f644,plain,
    ( spl0_7
  <=> sk_c6 = inverse(sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f1545,plain,
    ( spl0_1
    | ~ spl0_4
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1544]) ).

fof(f1544,plain,
    ( $false
    | spl0_1
    | ~ spl0_4
    | spl0_8 ),
    inference(global_subsumption,[],[f1182,f1,f2,f8,f38,f39,f40,f41,f42,f43,f44,f3,f51,f53,f26,f59,f79,f82,f60,f83,f87,f88,f89,f94,f92,f96,f93,f99,f49,f90,f50,f116,f117,f127,f124,f129,f132,f126,f133,f123,f137,f134,f140,f142,f120,f144,f148,f143,f149,f151,f145,f156,f158,f159,f152,f161,f162,f163,f166,f170,f174,f169,f176,f180,f160,f182,f179,f188,f190,f186,f191,f193,f194,f212,f201,f203,f205,f206,f208,f209,f213,f211,f214,f257,f226,f55,f282,f284,f286,f335,f336,f338,f297,f347,f351,f364,f365,f366,f369,f370,f377,f395,f21,f20,f18,f17,f12,f11,f6,f5,f24,f23,f15,f14,f280,f281,f834,f827,f862,f876,f864,f582,f861,f9,f7,f649,f22,f19,f199,f29,f196,f368,f1455,f13,f37,f1463,f390,f355,f197,f356,f359,f396,f398,f86,f374,f382,f383,f1371,f384,f4,f1499,f16,f1505,f10,f1512,f1515,f1518,f1521,f1526]) ).

fof(f1182,plain,
    ( identity = multiply(sk_c6,sk_c7)
    | ~ spl0_4 ),
    inference(superposition,[],[f2,f822]) ).

fof(f822,plain,
    ( sk_c6 = inverse(sk_c7)
    | ~ spl0_4 ),
    inference(superposition,[],[f281,f578]) ).

fof(f578,plain,
    ( sk_c6 = multiply(inverse(inverse(inverse(sk_c7))),identity)
    | ~ spl0_4 ),
    inference(superposition,[],[f55,f567]) ).

fof(f567,plain,
    ( identity = multiply(inverse(inverse(sk_c7)),sk_c6)
    | ~ spl0_4 ),
    inference(superposition,[],[f55,f564]) ).

fof(f564,plain,
    ( sk_c6 = multiply(inverse(sk_c7),identity)
    | ~ spl0_4 ),
    inference(superposition,[],[f55,f557]) ).

fof(f557,plain,
    ( identity = multiply(sk_c7,sk_c6)
    | ~ spl0_4 ),
    inference(superposition,[],[f2,f70]) ).

fof(f70,plain,
    ( sk_c7 = inverse(sk_c6)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f69]) ).

fof(f69,plain,
    ( spl0_4
  <=> sk_c7 = inverse(sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f1543,plain,
    ( spl0_1
    | ~ spl0_4
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1542]) ).

fof(f1542,plain,
    ( $false
    | spl0_1
    | ~ spl0_4
    | spl0_8 ),
    inference(global_subsumption,[],[f1184,f1,f2,f8,f38,f39,f40,f41,f42,f43,f44,f3,f51,f53,f26,f59,f79,f82,f60,f83,f87,f88,f89,f94,f92,f96,f93,f99,f49,f90,f50,f116,f117,f127,f124,f129,f132,f126,f133,f123,f137,f134,f140,f142,f120,f144,f148,f143,f149,f151,f145,f156,f158,f159,f152,f161,f162,f163,f166,f170,f174,f169,f176,f180,f160,f182,f179,f188,f190,f186,f191,f193,f194,f212,f201,f203,f205,f206,f208,f209,f213,f211,f214,f257,f226,f55,f282,f284,f286,f335,f336,f338,f297,f347,f351,f364,f365,f366,f369,f370,f377,f395,f21,f20,f18,f17,f12,f11,f6,f5,f24,f23,f15,f14,f280,f281,f834,f827,f862,f876,f864,f582,f861,f9,f7,f649,f22,f19,f199,f29,f196,f368,f1455,f13,f37,f1463,f390,f355,f197,f356,f359,f396,f398,f86,f374,f382,f383,f1371,f384,f4,f1499,f16,f1505,f10,f1512,f1515,f1518,f1521,f1526]) ).

fof(f1184,plain,
    ( sk_c7 = multiply(sk_c7,identity)
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f1180,f70]) ).

fof(f1180,plain,
    ( sk_c7 = multiply(inverse(sk_c6),identity)
    | ~ spl0_4 ),
    inference(superposition,[],[f281,f822]) ).

fof(f1541,plain,
    ( spl0_1
    | ~ spl0_4
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1540]) ).

fof(f1540,plain,
    ( $false
    | spl0_1
    | ~ spl0_4
    | spl0_8 ),
    inference(global_subsumption,[],[f1213,f1,f2,f8,f38,f39,f40,f41,f42,f43,f44,f3,f51,f53,f26,f59,f79,f82,f60,f83,f87,f88,f89,f94,f92,f96,f93,f99,f49,f90,f50,f116,f117,f127,f124,f129,f132,f126,f133,f123,f137,f134,f140,f142,f120,f144,f148,f143,f149,f151,f145,f156,f158,f159,f152,f161,f162,f163,f166,f170,f174,f169,f176,f180,f160,f182,f179,f188,f190,f186,f191,f193,f194,f212,f201,f203,f205,f206,f208,f209,f213,f211,f214,f257,f226,f55,f282,f284,f286,f335,f336,f338,f297,f347,f351,f364,f365,f366,f369,f370,f377,f395,f21,f20,f18,f17,f12,f11,f6,f5,f24,f23,f15,f14,f280,f281,f834,f827,f862,f876,f864,f582,f861,f9,f7,f649,f22,f19,f199,f29,f196,f368,f1455,f13,f37,f1463,f390,f355,f197,f356,f359,f396,f398,f86,f374,f382,f383,f1371,f384,f4,f1499,f16,f1505,f10,f1512,f1515,f1518,f1521,f1526]) ).

fof(f1213,plain,
    ( sk_c6 = multiply(sk_c6,identity)
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f1156,f822]) ).

fof(f1156,plain,
    ( sk_c6 = multiply(inverse(sk_c7),identity)
    | ~ spl0_4 ),
    inference(superposition,[],[f55,f1141]) ).

fof(f1141,plain,
    ( identity = multiply(sk_c7,sk_c6)
    | ~ spl0_4 ),
    inference(superposition,[],[f2,f70]) ).

fof(f1539,plain,
    ( spl0_1
    | ~ spl0_4
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1538]) ).

fof(f1538,plain,
    ( $false
    | spl0_1
    | ~ spl0_4
    | spl0_8 ),
    inference(global_subsumption,[],[f1215,f1,f2,f8,f38,f39,f40,f41,f42,f43,f44,f3,f51,f53,f26,f59,f79,f82,f60,f83,f87,f88,f89,f94,f92,f96,f93,f99,f49,f90,f50,f116,f117,f127,f124,f129,f132,f126,f133,f123,f137,f134,f140,f142,f120,f144,f148,f143,f149,f151,f145,f156,f158,f159,f152,f161,f162,f163,f166,f170,f174,f169,f176,f180,f160,f182,f179,f188,f190,f186,f191,f193,f194,f212,f201,f203,f205,f206,f208,f209,f213,f211,f214,f257,f226,f55,f282,f284,f286,f335,f336,f338,f297,f347,f351,f364,f365,f366,f369,f370,f377,f395,f21,f20,f18,f17,f12,f11,f6,f5,f24,f23,f15,f14,f280,f281,f834,f827,f862,f876,f864,f582,f861,f9,f7,f649,f22,f19,f199,f29,f196,f368,f1455,f13,f37,f1463,f390,f355,f197,f356,f359,f396,f398,f86,f374,f382,f383,f1371,f384,f4,f1499,f16,f1505,f10,f1512,f1515,f1518,f1521,f1526]) ).

fof(f1215,plain,
    ( sk_c6 = multiply(sk_c6,identity)
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f1139,f822]) ).

fof(f1139,plain,
    ( sk_c6 = multiply(inverse(sk_c7),identity)
    | ~ spl0_4 ),
    inference(superposition,[],[f281,f70]) ).

fof(f1537,plain,
    ( spl0_1
    | ~ spl0_4
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1536]) ).

fof(f1536,plain,
    ( $false
    | spl0_1
    | ~ spl0_4
    | spl0_8 ),
    inference(global_subsumption,[],[f1140,f1,f2,f8,f38,f39,f40,f41,f42,f43,f44,f3,f51,f53,f26,f59,f79,f82,f60,f83,f87,f88,f89,f94,f92,f96,f93,f99,f49,f90,f50,f116,f117,f127,f124,f129,f132,f126,f133,f123,f137,f134,f140,f142,f120,f144,f148,f143,f149,f151,f145,f156,f158,f159,f152,f161,f162,f163,f166,f170,f174,f169,f176,f180,f160,f182,f179,f188,f190,f186,f191,f193,f194,f212,f201,f203,f205,f206,f208,f209,f213,f211,f214,f257,f226,f55,f282,f284,f286,f335,f336,f338,f297,f347,f351,f364,f365,f366,f369,f370,f377,f395,f21,f20,f18,f17,f12,f11,f6,f5,f24,f23,f15,f14,f280,f281,f834,f827,f862,f876,f864,f582,f861,f9,f7,f649,f22,f19,f199,f29,f196,f368,f1455,f13,f37,f1463,f390,f355,f197,f356,f359,f396,f398,f86,f374,f382,f383,f1371,f384,f4,f1499,f16,f1505,f10,f1512,f1515,f1518,f1521,f1526]) ).

fof(f1140,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c6,X0)) = X0
    | ~ spl0_4 ),
    inference(superposition,[],[f55,f70]) ).

fof(f1535,plain,
    ( spl0_1
    | ~ spl0_4
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1534]) ).

fof(f1534,plain,
    ( $false
    | spl0_1
    | ~ spl0_4
    | spl0_8 ),
    inference(global_subsumption,[],[f1159,f1,f2,f8,f38,f39,f40,f41,f42,f43,f44,f3,f51,f53,f26,f59,f79,f82,f60,f83,f87,f88,f89,f94,f92,f96,f93,f99,f49,f90,f50,f116,f117,f127,f124,f129,f132,f126,f133,f123,f137,f134,f140,f142,f120,f144,f148,f143,f149,f151,f145,f156,f158,f159,f152,f161,f162,f163,f166,f170,f174,f169,f176,f180,f160,f182,f179,f188,f190,f186,f191,f193,f194,f212,f201,f203,f205,f206,f208,f209,f213,f211,f214,f257,f226,f55,f282,f284,f286,f335,f336,f338,f297,f347,f351,f364,f365,f366,f369,f370,f377,f395,f21,f20,f18,f17,f12,f11,f6,f5,f24,f23,f15,f14,f280,f281,f834,f827,f862,f876,f864,f582,f861,f9,f7,f649,f22,f19,f199,f29,f196,f368,f1455,f13,f37,f1463,f390,f355,f197,f356,f359,f396,f398,f86,f374,f382,f383,f1371,f384,f4,f1499,f16,f1505,f10,f1512,f1515,f1518,f1521,f1526]) ).

fof(f1159,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c6,X0)) = X0
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f1157,f1]) ).

fof(f1157,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c6,X0))
    | ~ spl0_4 ),
    inference(superposition,[],[f3,f1141]) ).

fof(f1532,plain,
    ( spl0_1
    | ~ spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1531]) ).

fof(f1531,plain,
    ( $false
    | spl0_1
    | ~ spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f74,f1,f2,f8,f38,f39,f40,f41,f42,f43,f44,f3,f51,f53,f26,f59,f79,f82,f60,f83,f87,f88,f89,f94,f92,f96,f93,f99,f49,f90,f50,f116,f117,f127,f124,f129,f132,f126,f133,f123,f137,f134,f140,f142,f120,f144,f148,f143,f149,f151,f145,f156,f158,f159,f152,f161,f162,f163,f166,f170,f174,f169,f176,f180,f160,f182,f179,f188,f190,f186,f191,f193,f194,f212,f201,f203,f205,f206,f208,f209,f213,f211,f214,f257,f226,f55,f282,f284,f286,f335,f336,f338,f297,f347,f351,f364,f365,f366,f369,f370,f377,f395,f21,f20,f18,f17,f12,f11,f6,f5,f24,f23,f15,f14,f280,f281,f834,f827,f862,f876,f864,f582,f861,f9,f7,f649,f22,f19,f199,f29,f196,f368,f1455,f13,f37,f1463,f390,f355,f197,f356,f359,f396,f398,f86,f374,f382,f383,f1371,f384,f4,f1499,f16,f1505,f10,f1512,f1515,f1518,f1521,f1526]) ).

fof(f74,plain,
    ( ! [X7] :
        ( sk_c8 != inverse(X7)
        | sk_c7 != multiply(X7,sk_c8) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f73]) ).

fof(f73,plain,
    ( spl0_5
  <=> ! [X7] :
        ( sk_c8 != inverse(X7)
        | sk_c7 != multiply(X7,sk_c8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f1530,plain,
    ( spl0_1
    | ~ spl0_4
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1529]) ).

fof(f1529,plain,
    ( $false
    | spl0_1
    | ~ spl0_4
    | spl0_8 ),
    inference(global_subsumption,[],[f1181,f1,f2,f8,f38,f39,f40,f41,f42,f43,f44,f3,f51,f53,f26,f59,f79,f82,f60,f83,f87,f88,f89,f94,f92,f96,f93,f99,f49,f90,f50,f116,f117,f127,f124,f129,f132,f126,f133,f123,f137,f134,f140,f142,f120,f144,f148,f143,f149,f151,f145,f156,f158,f159,f152,f161,f162,f163,f166,f170,f174,f169,f176,f180,f160,f182,f179,f188,f190,f186,f191,f193,f194,f212,f201,f203,f205,f206,f208,f209,f213,f211,f214,f257,f226,f55,f282,f284,f286,f335,f336,f338,f297,f347,f351,f364,f365,f366,f369,f370,f377,f395,f21,f20,f18,f17,f12,f11,f6,f5,f24,f23,f15,f14,f280,f281,f834,f827,f862,f876,f864,f582,f861,f9,f7,f649,f22,f19,f199,f29,f196,f368,f1455,f13,f37,f1463,f390,f355,f197,f356,f359,f396,f398,f86,f374,f382,f383,f1371,f384,f4,f1499,f16,f1505,f10,f1512,f1515,f1518,f1521,f1526]) ).

fof(f1181,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = X0
    | ~ spl0_4 ),
    inference(superposition,[],[f55,f822]) ).

fof(f1528,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1527]) ).

fof(f1527,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f8,f38,f39,f40,f41,f42,f43,f44,f3,f51,f53,f26,f59,f79,f82,f60,f83,f87,f88,f89,f94,f92,f96,f93,f99,f49,f90,f50,f116,f117,f127,f124,f129,f132,f126,f133,f123,f137,f134,f140,f142,f120,f144,f148,f143,f149,f151,f145,f156,f158,f159,f152,f161,f162,f163,f166,f170,f174,f169,f176,f180,f160,f182,f179,f188,f190,f186,f191,f193,f194,f212,f201,f203,f205,f206,f208,f209,f213,f211,f214,f257,f226,f55,f282,f284,f286,f335,f336,f338,f297,f347,f351,f364,f365,f366,f369,f370,f377,f395,f21,f20,f18,f17,f12,f11,f6,f5,f24,f23,f15,f14,f280,f281,f834,f827,f862,f876,f864,f582,f861,f9,f7,f649,f22,f19,f199,f29,f196,f368,f1455,f13,f37,f1463,f390,f355,f197,f356,f359,f396,f398,f86,f374,f382,f383,f1371,f384,f4,f1499,f16,f1505,f10,f1512,f1515,f1518,f1521,f1526]) ).

fof(f1523,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1522]) ).

fof(f1522,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f8,f38,f39,f40,f41,f42,f43,f44,f3,f51,f53,f26,f59,f79,f82,f60,f83,f87,f88,f89,f94,f92,f96,f93,f99,f49,f90,f50,f116,f117,f127,f124,f129,f132,f126,f133,f123,f137,f134,f140,f142,f120,f144,f148,f143,f149,f151,f145,f156,f158,f159,f152,f161,f162,f163,f166,f170,f174,f169,f176,f180,f160,f182,f179,f188,f190,f186,f191,f193,f194,f212,f201,f203,f205,f206,f208,f209,f213,f211,f214,f257,f226,f55,f282,f284,f286,f335,f336,f338,f297,f347,f351,f364,f365,f366,f369,f370,f377,f395,f21,f20,f18,f17,f12,f11,f6,f5,f24,f23,f15,f14,f280,f281,f834,f827,f862,f876,f864,f582,f861,f9,f7,f649,f22,f19,f199,f29,f196,f368,f1455,f13,f37,f1463,f390,f355,f197,f356,f359,f396,f398,f86,f374,f382,f383,f1371,f384,f4,f1499,f16,f1505,f10,f1512,f1515,f1518,f1521]) ).

fof(f1520,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1519]) ).

fof(f1519,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f8,f38,f39,f40,f41,f42,f43,f44,f3,f51,f53,f26,f59,f79,f82,f60,f83,f87,f88,f89,f94,f92,f96,f93,f99,f49,f90,f50,f116,f117,f127,f124,f129,f132,f126,f133,f123,f137,f134,f140,f142,f120,f144,f148,f143,f149,f151,f145,f156,f158,f159,f152,f161,f162,f163,f166,f170,f174,f169,f176,f180,f160,f182,f179,f188,f190,f186,f191,f193,f194,f212,f201,f203,f205,f206,f208,f209,f213,f211,f214,f257,f226,f55,f282,f284,f286,f335,f336,f338,f297,f347,f351,f364,f365,f366,f369,f370,f377,f395,f21,f20,f18,f17,f12,f11,f6,f5,f24,f23,f15,f14,f280,f281,f834,f827,f862,f876,f864,f582,f861,f9,f7,f649,f22,f19,f199,f29,f196,f368,f1455,f13,f37,f1463,f390,f355,f197,f356,f359,f396,f398,f86,f374,f382,f383,f1371,f384,f4,f1499,f16,f1505,f10,f1512,f1515,f1518]) ).

fof(f1517,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1516]) ).

fof(f1516,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f8,f38,f39,f40,f41,f42,f43,f44,f3,f51,f53,f26,f59,f79,f82,f60,f83,f87,f88,f89,f94,f92,f96,f93,f99,f49,f90,f50,f116,f117,f127,f124,f129,f132,f126,f133,f123,f137,f134,f140,f142,f120,f144,f148,f143,f149,f151,f145,f156,f158,f159,f152,f161,f162,f163,f166,f170,f174,f169,f176,f180,f160,f182,f179,f188,f190,f186,f191,f193,f194,f212,f201,f203,f205,f206,f208,f209,f213,f211,f214,f257,f226,f55,f282,f284,f286,f335,f336,f338,f297,f347,f351,f364,f365,f366,f369,f370,f377,f395,f21,f20,f18,f17,f12,f11,f6,f5,f24,f23,f15,f14,f280,f281,f834,f827,f862,f876,f864,f582,f861,f9,f7,f649,f22,f19,f199,f29,f196,f368,f1455,f13,f37,f1463,f390,f355,f197,f356,f359,f396,f398,f86,f374,f382,f383,f1371,f384,f4,f1499,f16,f1505,f10,f1512,f1515]) ).

fof(f1514,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1513]) ).

fof(f1513,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f8,f38,f39,f40,f41,f42,f43,f44,f3,f51,f53,f26,f59,f79,f82,f60,f83,f87,f88,f89,f94,f92,f96,f93,f99,f49,f90,f50,f116,f117,f127,f124,f129,f132,f126,f133,f123,f137,f134,f140,f142,f120,f144,f148,f143,f149,f151,f145,f156,f158,f159,f152,f161,f162,f163,f166,f170,f174,f169,f176,f180,f160,f182,f179,f188,f190,f186,f191,f193,f194,f212,f201,f203,f205,f206,f208,f209,f213,f211,f214,f257,f226,f55,f282,f284,f286,f335,f336,f338,f297,f347,f351,f364,f365,f366,f369,f370,f377,f395,f21,f20,f18,f17,f12,f11,f6,f5,f24,f23,f15,f14,f280,f281,f834,f827,f862,f876,f864,f582,f861,f9,f7,f649,f22,f19,f199,f29,f196,f368,f1455,f13,f37,f1463,f390,f355,f197,f356,f359,f396,f398,f86,f374,f382,f383,f1371,f384,f4,f1499,f16,f1505,f10,f1512]) ).

fof(f1509,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1508]) ).

fof(f1508,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f8,f38,f39,f40,f41,f42,f43,f44,f3,f51,f53,f26,f59,f79,f82,f60,f83,f87,f88,f89,f94,f92,f96,f93,f99,f49,f90,f50,f116,f117,f127,f124,f129,f132,f126,f133,f123,f137,f134,f140,f142,f120,f144,f148,f143,f149,f151,f145,f156,f158,f159,f152,f161,f162,f163,f166,f170,f174,f169,f176,f180,f160,f182,f179,f188,f190,f186,f191,f193,f194,f212,f201,f203,f205,f206,f208,f209,f213,f211,f214,f257,f226,f55,f282,f284,f286,f335,f336,f338,f297,f347,f351,f364,f365,f366,f369,f370,f377,f395,f21,f20,f18,f17,f12,f11,f6,f5,f24,f23,f15,f14,f280,f281,f834,f827,f862,f876,f864,f582,f861,f9,f7,f649,f22,f19,f199,f29,f196,f368,f1455,f13,f37,f1463,f390,f355,f197,f356,f359,f396,f398,f86,f374,f382,f383,f1371,f384,f4,f1499,f16,f1505,f10]) ).

fof(f1507,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1506]) ).

fof(f1506,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f8,f38,f39,f40,f41,f42,f43,f44,f3,f51,f53,f26,f59,f79,f82,f60,f83,f87,f88,f89,f94,f92,f96,f93,f99,f49,f90,f50,f116,f117,f127,f124,f129,f132,f126,f133,f123,f137,f134,f140,f142,f120,f144,f148,f143,f149,f151,f145,f156,f158,f159,f152,f161,f162,f163,f166,f170,f174,f169,f176,f180,f160,f182,f179,f188,f190,f186,f191,f193,f194,f212,f201,f203,f205,f206,f208,f209,f213,f211,f214,f257,f226,f55,f282,f284,f286,f335,f336,f338,f297,f347,f351,f364,f365,f366,f369,f370,f377,f395,f21,f20,f18,f17,f12,f11,f6,f5,f24,f23,f15,f14,f280,f281,f834,f827,f862,f876,f864,f582,f861,f9,f7,f649,f22,f19,f10,f199,f29,f196,f368,f1455,f13,f37,f1463,f390,f355,f197,f356,f359,f396,f398,f86,f374,f382,f383,f1371,f384,f4,f1499,f16,f1505]) ).

fof(f1503,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1502]) ).

fof(f1502,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f8,f38,f39,f40,f41,f42,f43,f44,f3,f51,f53,f26,f59,f79,f82,f60,f83,f87,f88,f89,f94,f92,f96,f93,f99,f49,f90,f50,f116,f117,f127,f124,f129,f132,f126,f133,f123,f137,f134,f140,f142,f120,f144,f148,f143,f149,f151,f145,f156,f158,f159,f152,f161,f162,f163,f166,f170,f174,f169,f176,f180,f160,f182,f179,f188,f190,f186,f191,f193,f194,f212,f201,f203,f205,f206,f208,f209,f213,f211,f214,f257,f226,f55,f282,f284,f286,f335,f336,f338,f297,f347,f351,f364,f365,f366,f369,f370,f377,f395,f21,f20,f18,f17,f12,f11,f6,f5,f24,f23,f15,f14,f280,f281,f834,f827,f862,f876,f864,f582,f861,f9,f7,f649,f22,f19,f10,f199,f29,f196,f368,f1455,f13,f37,f1463,f390,f355,f197,f356,f359,f396,f398,f86,f374,f382,f383,f1371,f384,f4,f1499,f16]) ).

fof(f1501,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1500]) ).

fof(f1500,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f8,f38,f39,f40,f41,f42,f43,f44,f3,f51,f53,f26,f59,f79,f82,f60,f83,f87,f88,f89,f94,f92,f96,f93,f99,f49,f90,f50,f116,f117,f127,f124,f129,f132,f126,f133,f123,f137,f134,f140,f142,f120,f144,f148,f143,f149,f151,f145,f156,f158,f159,f152,f161,f162,f163,f166,f170,f174,f169,f176,f180,f160,f182,f179,f188,f190,f186,f191,f193,f194,f212,f201,f203,f205,f206,f208,f209,f213,f211,f214,f257,f226,f55,f282,f284,f286,f335,f336,f338,f297,f347,f351,f364,f365,f366,f369,f370,f377,f395,f21,f20,f18,f17,f12,f11,f6,f5,f24,f23,f15,f14,f280,f281,f834,f827,f862,f876,f864,f582,f861,f9,f7,f649,f22,f16,f19,f10,f199,f29,f196,f368,f1455,f13,f37,f1463,f390,f355,f197,f356,f359,f396,f398,f86,f374,f382,f383,f1371,f384,f4,f1499]) ).

fof(f1497,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1496]) ).

fof(f1496,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f8,f38,f39,f40,f41,f42,f43,f44,f3,f51,f53,f26,f59,f79,f82,f60,f83,f87,f88,f89,f94,f92,f96,f93,f99,f49,f90,f50,f116,f117,f127,f124,f129,f132,f126,f133,f123,f137,f134,f140,f142,f120,f144,f148,f143,f149,f151,f145,f156,f158,f159,f152,f161,f162,f163,f166,f170,f174,f169,f176,f180,f160,f182,f179,f188,f190,f186,f191,f193,f194,f212,f201,f203,f205,f206,f208,f209,f213,f211,f214,f257,f226,f55,f282,f284,f286,f335,f336,f338,f297,f347,f351,f364,f365,f366,f369,f370,f377,f395,f21,f20,f18,f17,f12,f11,f6,f5,f24,f23,f15,f14,f280,f281,f834,f827,f862,f876,f864,f582,f861,f9,f7,f649,f22,f16,f19,f10,f199,f29,f196,f368,f1455,f13,f37,f1463,f390,f355,f197,f356,f359,f396,f398,f86,f374,f382,f383,f1371,f384,f4]) ).

fof(f1495,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1494]) ).

fof(f1494,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f8,f38,f39,f40,f41,f42,f43,f44,f3,f51,f53,f26,f59,f79,f82,f60,f83,f87,f88,f89,f94,f92,f96,f93,f99,f49,f90,f50,f116,f117,f127,f124,f129,f132,f126,f133,f123,f137,f134,f140,f142,f120,f144,f148,f143,f149,f151,f145,f156,f158,f159,f152,f161,f162,f163,f166,f170,f174,f169,f176,f180,f160,f182,f179,f188,f190,f186,f191,f193,f194,f212,f201,f203,f205,f206,f208,f209,f213,f211,f214,f257,f226,f55,f282,f284,f286,f335,f336,f338,f297,f347,f351,f364,f365,f366,f369,f370,f377,f395,f21,f20,f18,f17,f12,f11,f6,f5,f24,f23,f15,f14,f280,f281,f834,f827,f862,f876,f864,f582,f861,f9,f7,f649,f4,f22,f16,f19,f10,f199,f29,f196,f368,f1455,f13,f37,f1463,f390,f355,f197,f356,f359,f396,f398,f86,f374,f382,f383,f1371,f384]) ).

fof(f1493,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1492]) ).

fof(f1492,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f8,f38,f39,f40,f41,f42,f43,f44,f3,f51,f53,f26,f59,f79,f82,f60,f83,f87,f88,f89,f94,f92,f96,f93,f99,f49,f90,f50,f116,f117,f127,f124,f129,f132,f126,f133,f123,f137,f134,f140,f142,f120,f144,f148,f143,f149,f151,f145,f156,f158,f159,f152,f161,f162,f163,f166,f170,f174,f169,f176,f180,f160,f182,f179,f188,f190,f186,f191,f193,f194,f212,f201,f203,f205,f206,f208,f209,f213,f211,f214,f257,f226,f55,f282,f284,f286,f335,f336,f338,f297,f347,f351,f364,f365,f366,f369,f370,f384,f377,f395,f21,f20,f18,f17,f12,f11,f6,f5,f24,f23,f15,f14,f280,f281,f834,f827,f862,f876,f864,f582,f861,f9,f7,f649,f4,f22,f16,f19,f10,f199,f29,f196,f368,f1455,f13,f37,f1463,f390,f355,f197,f356,f359,f396,f398,f86,f374,f382,f383,f1371]) ).

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

fof(f1490,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f8,f38,f39,f40,f41,f42,f43,f44,f3,f51,f53,f26,f59,f79,f82,f60,f83,f87,f88,f89,f94,f92,f96,f93,f99,f49,f90,f50,f116,f117,f127,f124,f129,f132,f126,f133,f123,f137,f134,f140,f142,f120,f144,f148,f143,f149,f151,f145,f156,f158,f159,f152,f161,f162,f163,f166,f170,f174,f169,f176,f180,f160,f182,f179,f188,f190,f186,f191,f193,f194,f212,f201,f203,f205,f206,f208,f209,f213,f211,f214,f257,f226,f55,f282,f284,f286,f335,f336,f338,f297,f347,f351,f364,f365,f366,f369,f370,f384,f377,f395,f21,f20,f18,f17,f12,f11,f6,f5,f24,f23,f15,f14,f280,f281,f834,f827,f862,f876,f864,f582,f861,f9,f7,f649,f4,f22,f16,f19,f10,f199,f29,f196,f368,f1455,f13,f37,f1463,f390,f355,f197,f356,f359,f396,f398,f86,f374,f382,f383]) ).

fof(f1489,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1488]) ).

fof(f1488,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f8,f38,f39,f40,f41,f42,f43,f44,f3,f51,f53,f26,f59,f79,f82,f60,f83,f87,f88,f89,f94,f92,f96,f93,f99,f49,f90,f50,f116,f117,f127,f124,f129,f132,f126,f133,f123,f137,f134,f140,f142,f120,f144,f148,f143,f149,f151,f145,f156,f158,f159,f152,f161,f162,f163,f166,f170,f174,f169,f176,f180,f160,f182,f179,f188,f190,f186,f191,f193,f194,f212,f201,f203,f205,f206,f208,f209,f213,f211,f214,f257,f226,f55,f282,f284,f286,f335,f336,f338,f297,f347,f351,f364,f365,f366,f369,f370,f384,f377,f383,f395,f21,f20,f18,f17,f12,f11,f6,f5,f24,f23,f15,f14,f280,f281,f834,f827,f862,f876,f864,f582,f861,f9,f7,f649,f4,f22,f16,f19,f10,f199,f29,f196,f368,f1455,f13,f37,f1463,f390,f355,f197,f356,f359,f396,f398,f86,f374,f382]) ).

fof(f1487,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1486]) ).

fof(f1486,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f8,f38,f39,f40,f41,f42,f43,f44,f3,f51,f53,f26,f59,f79,f82,f60,f83,f87,f88,f89,f94,f92,f96,f93,f99,f49,f90,f50,f116,f117,f127,f124,f129,f132,f126,f133,f123,f137,f134,f140,f142,f120,f144,f148,f143,f149,f151,f145,f156,f158,f159,f152,f161,f162,f163,f166,f170,f174,f169,f176,f180,f160,f182,f179,f188,f190,f186,f191,f193,f194,f212,f201,f203,f205,f206,f208,f209,f213,f211,f214,f257,f226,f55,f282,f284,f286,f335,f336,f338,f297,f347,f351,f364,f365,f366,f369,f370,f384,f377,f382,f383,f395,f21,f20,f18,f17,f12,f11,f6,f5,f24,f23,f15,f14,f280,f281,f834,f827,f862,f876,f864,f582,f861,f9,f7,f649,f4,f22,f16,f19,f10,f199,f29,f196,f368,f1455,f13,f37,f1463,f390,f355,f197,f356,f359,f396,f398,f86,f374]) ).

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

fof(f1484,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f8,f38,f39,f40,f41,f42,f43,f44,f3,f51,f53,f26,f59,f79,f82,f60,f83,f87,f88,f89,f94,f92,f96,f93,f99,f49,f90,f50,f116,f117,f127,f124,f129,f132,f126,f133,f123,f137,f134,f140,f142,f120,f144,f148,f143,f149,f151,f145,f156,f158,f159,f152,f161,f162,f163,f166,f170,f174,f169,f176,f180,f160,f182,f179,f188,f190,f186,f191,f193,f194,f212,f201,f203,f205,f206,f208,f209,f213,f211,f214,f257,f226,f55,f282,f284,f286,f335,f336,f338,f297,f347,f351,f364,f365,f366,f369,f370,f374,f384,f377,f382,f383,f395,f21,f20,f18,f17,f12,f11,f6,f5,f24,f23,f15,f14,f280,f281,f834,f827,f862,f876,f864,f582,f861,f9,f7,f649,f4,f22,f16,f19,f10,f199,f29,f196,f368,f1455,f13,f37,f1463,f390,f355,f197,f356,f359,f396,f398,f86]) ).

fof(f1483,plain,
    ( spl0_1
    | ~ spl0_4
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1482]) ).

fof(f1482,plain,
    ( $false
    | spl0_1
    | ~ spl0_4
    | spl0_8 ),
    inference(global_subsumption,[],[f402,f1,f2,f8,f38,f39,f40,f41,f42,f43,f44,f3,f51,f53,f26,f59,f79,f82,f60,f83,f87,f88,f86,f89,f94,f92,f96,f93,f99,f49,f90,f50,f116,f117,f127,f124,f129,f132,f126,f133,f123,f137,f134,f140,f142,f120,f144,f148,f143,f149,f151,f145,f156,f158,f159,f152,f161,f162,f163,f166,f170,f174,f169,f176,f180,f160,f182,f179,f188,f190,f186,f191,f193,f194,f212,f201,f203,f205,f206,f208,f209,f213,f211,f214,f257,f226,f55,f282,f284,f286,f335,f336,f338,f297,f347,f351,f364,f365,f366,f369,f370,f374,f384,f377,f382,f383,f395,f21,f20,f18,f17,f12,f11,f6,f5,f24,f23,f15,f14,f280,f281,f834,f827,f862,f876,f864,f582,f861,f9,f7,f649,f4,f22,f16,f19,f10,f199,f29,f196,f368,f1455,f13,f37,f1463,f390,f355,f197,f356,f359,f396,f398]) ).

fof(f402,plain,
    ( sk_c7 = inverse(sk_c7)
    | spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f70,f86]) ).

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

fof(f1480,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f8,f38,f39,f40,f41,f42,f43,f44,f3,f51,f53,f26,f59,f79,f82,f60,f83,f87,f88,f86,f89,f94,f92,f96,f93,f99,f49,f90,f50,f116,f117,f127,f124,f129,f132,f126,f133,f123,f137,f134,f140,f142,f120,f144,f148,f143,f149,f151,f145,f156,f158,f159,f152,f161,f162,f163,f166,f170,f174,f169,f176,f180,f160,f182,f179,f188,f190,f186,f191,f193,f194,f212,f201,f203,f205,f206,f208,f209,f213,f211,f214,f257,f226,f55,f282,f284,f286,f335,f336,f338,f297,f347,f351,f364,f365,f366,f369,f370,f374,f384,f377,f382,f383,f395,f21,f20,f18,f17,f12,f11,f6,f5,f24,f23,f15,f14,f280,f281,f834,f827,f862,f876,f864,f582,f861,f9,f7,f649,f4,f22,f16,f19,f10,f199,f29,f196,f368,f1455,f13,f37,f1463,f390,f355,f197,f356,f359,f396,f398]) ).

fof(f1479,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1478]) ).

fof(f1478,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f8,f38,f39,f40,f41,f42,f43,f44,f3,f51,f53,f26,f59,f79,f82,f60,f83,f87,f88,f86,f89,f94,f92,f96,f93,f99,f49,f90,f50,f116,f117,f127,f124,f129,f132,f126,f133,f123,f137,f134,f140,f142,f120,f144,f148,f143,f149,f151,f145,f156,f158,f159,f152,f161,f162,f163,f166,f170,f174,f169,f176,f180,f160,f182,f179,f188,f190,f186,f191,f193,f194,f212,f201,f203,f205,f206,f208,f209,f213,f211,f214,f257,f226,f55,f282,f284,f286,f335,f336,f338,f297,f347,f351,f364,f365,f366,f369,f370,f374,f384,f377,f382,f383,f398,f395,f21,f20,f18,f17,f12,f11,f6,f5,f24,f23,f15,f14,f280,f281,f834,f827,f862,f876,f864,f582,f861,f9,f7,f649,f4,f22,f16,f19,f10,f199,f29,f196,f368,f1455,f13,f37,f1463,f390,f355,f197,f356,f359,f396]) ).

fof(f1477,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1476]) ).

fof(f1476,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f8,f38,f39,f40,f41,f42,f43,f44,f3,f51,f53,f26,f59,f79,f82,f60,f83,f87,f88,f86,f89,f94,f92,f96,f93,f99,f49,f90,f50,f116,f117,f127,f124,f129,f132,f126,f133,f123,f137,f134,f140,f142,f120,f144,f148,f143,f149,f151,f145,f156,f158,f159,f152,f161,f162,f163,f166,f170,f174,f169,f176,f180,f160,f182,f179,f188,f190,f186,f191,f193,f194,f212,f201,f203,f205,f206,f208,f209,f213,f211,f214,f257,f226,f55,f282,f284,f286,f335,f336,f338,f297,f347,f351,f364,f365,f366,f369,f370,f374,f384,f377,f382,f383,f398,f395,f396,f21,f20,f18,f17,f12,f11,f6,f5,f24,f23,f15,f14,f280,f281,f834,f827,f862,f876,f864,f582,f861,f9,f7,f649,f4,f22,f16,f19,f10,f199,f29,f196,f368,f1455,f13,f37,f1463,f390,f355,f197,f356,f359]) ).

fof(f1475,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1474]) ).

fof(f1474,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f8,f38,f39,f40,f41,f42,f43,f44,f3,f51,f53,f26,f59,f79,f82,f60,f83,f87,f88,f86,f89,f94,f92,f96,f93,f99,f49,f90,f50,f116,f117,f127,f124,f129,f132,f126,f133,f123,f137,f134,f140,f142,f120,f144,f148,f143,f149,f151,f145,f156,f158,f159,f152,f161,f162,f163,f166,f170,f174,f169,f176,f180,f160,f182,f179,f188,f190,f186,f191,f193,f194,f212,f201,f203,f205,f206,f208,f209,f213,f211,f214,f257,f226,f55,f282,f284,f286,f335,f336,f338,f297,f347,f351,f359,f364,f365,f366,f369,f370,f374,f384,f377,f382,f383,f398,f395,f396,f21,f20,f18,f17,f12,f11,f6,f5,f24,f23,f15,f14,f280,f281,f834,f827,f862,f876,f864,f582,f861,f9,f7,f649,f4,f22,f16,f19,f10,f199,f29,f196,f368,f1455,f13,f37,f1463,f390,f355,f197,f356]) ).

fof(f1473,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1472]) ).

fof(f1472,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f8,f38,f39,f40,f41,f42,f43,f44,f3,f51,f53,f26,f59,f79,f82,f60,f83,f87,f88,f86,f89,f94,f92,f96,f93,f99,f49,f90,f50,f116,f117,f127,f124,f129,f132,f126,f133,f123,f137,f134,f140,f142,f120,f144,f148,f143,f149,f151,f145,f156,f158,f159,f152,f161,f162,f163,f166,f170,f174,f169,f176,f180,f160,f182,f179,f188,f190,f186,f191,f193,f194,f212,f201,f203,f205,f206,f208,f209,f213,f211,f214,f257,f226,f55,f282,f284,f286,f335,f336,f338,f297,f347,f351,f356,f359,f364,f365,f366,f369,f370,f374,f384,f377,f382,f383,f398,f395,f396,f21,f20,f18,f17,f12,f11,f6,f5,f24,f23,f15,f14,f280,f281,f834,f827,f862,f876,f864,f582,f861,f9,f7,f649,f4,f22,f16,f19,f10,f199,f29,f196,f368,f1455,f13,f37,f1463,f390,f355,f197]) ).

fof(f1471,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1470]) ).

fof(f1470,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f8,f38,f39,f40,f41,f42,f43,f44,f3,f51,f53,f26,f59,f79,f82,f60,f83,f87,f88,f86,f89,f94,f92,f96,f93,f99,f49,f90,f50,f116,f117,f127,f124,f129,f132,f126,f133,f123,f137,f134,f140,f142,f120,f144,f148,f143,f149,f151,f145,f156,f158,f159,f152,f161,f162,f163,f166,f170,f174,f169,f176,f180,f160,f182,f179,f188,f190,f186,f191,f193,f194,f212,f201,f203,f205,f206,f208,f209,f213,f211,f214,f197,f257,f226,f55,f282,f284,f286,f335,f336,f338,f297,f347,f351,f356,f359,f364,f365,f366,f369,f370,f374,f384,f377,f382,f383,f398,f395,f396,f21,f20,f18,f17,f12,f11,f6,f5,f24,f23,f15,f14,f280,f281,f834,f827,f862,f876,f864,f582,f861,f9,f7,f649,f4,f22,f16,f19,f10,f199,f29,f196,f368,f1455,f13,f37,f1463,f390,f355]) ).

fof(f1469,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1468]) ).

fof(f1468,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_8 ),
    inference(global_subsumption,[],[f354,f1,f2,f8,f38,f39,f40,f41,f42,f43,f44,f3,f51,f53,f26,f59,f79,f82,f60,f83,f87,f88,f86,f89,f94,f92,f96,f93,f99,f49,f90,f50,f116,f117,f127,f124,f129,f132,f126,f133,f123,f137,f134,f140,f142,f120,f144,f148,f143,f149,f151,f145,f156,f158,f159,f152,f161,f162,f163,f166,f170,f174,f169,f176,f180,f160,f182,f179,f188,f190,f186,f191,f193,f194,f212,f201,f203,f205,f206,f208,f209,f213,f211,f214,f197,f257,f226,f55,f282,f284,f286,f335,f336,f338,f297,f347,f351,f355,f356,f359,f364,f365,f366,f369,f370,f374,f384,f377,f382,f383,f398,f395,f396,f21,f20,f18,f17,f12,f11,f6,f5,f24,f23,f15,f14,f280,f281,f834,f827,f862,f876,f864,f582,f861,f9,f7,f649,f4,f22,f16,f19,f10,f199,f29,f196,f368,f1455,f13,f37,f1463,f390]) ).

fof(f354,plain,
    ( identity = sk_c7
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f303,f2]) ).

fof(f303,plain,
    ( sk_c7 = multiply(inverse(sk_c8),sk_c8)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f55,f61]) ).

fof(f61,plain,
    ( sk_c8 = multiply(sk_c8,sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f58,f41]) ).

fof(f58,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f48,f1]) ).

fof(f48,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c1,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f36]) ).

fof(f36,plain,
    ( identity = multiply(sk_c8,sk_c1)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f34]) ).

fof(f34,plain,
    ( sk_c8 = inverse(sk_c1)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f32]) ).

fof(f32,plain,
    ( spl0_2
  <=> sk_c8 = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f1467,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1466]) ).

fof(f1466,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f8,f38,f39,f40,f41,f42,f43,f44,f3,f51,f53,f26,f59,f79,f82,f60,f83,f87,f88,f86,f89,f94,f92,f96,f93,f99,f49,f90,f50,f116,f117,f127,f124,f129,f132,f126,f133,f123,f137,f134,f140,f142,f120,f144,f148,f143,f149,f151,f145,f156,f158,f159,f152,f161,f162,f163,f166,f170,f174,f169,f176,f180,f160,f182,f179,f188,f190,f186,f191,f193,f194,f212,f201,f203,f205,f206,f208,f209,f213,f211,f214,f197,f257,f226,f55,f282,f284,f286,f335,f336,f338,f297,f347,f351,f355,f356,f359,f364,f365,f366,f369,f370,f374,f384,f377,f382,f383,f398,f395,f396,f21,f20,f18,f17,f12,f11,f6,f5,f24,f23,f15,f14,f280,f281,f834,f827,f862,f876,f864,f582,f861,f9,f7,f649,f4,f22,f16,f19,f10,f199,f29,f196,f368,f1455,f13,f37,f1463,f390]) ).

fof(f1465,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1464]) ).

fof(f1464,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f8,f38,f39,f40,f41,f42,f43,f44,f3,f51,f53,f26,f59,f79,f82,f60,f83,f87,f88,f86,f89,f94,f92,f96,f93,f99,f49,f90,f50,f116,f117,f127,f124,f129,f132,f126,f133,f123,f137,f134,f140,f142,f120,f144,f148,f143,f149,f151,f145,f156,f158,f159,f152,f161,f162,f163,f166,f170,f174,f169,f176,f180,f160,f182,f179,f188,f190,f186,f191,f193,f194,f212,f201,f203,f205,f206,f208,f209,f213,f211,f214,f197,f257,f226,f55,f282,f284,f286,f335,f336,f338,f297,f347,f351,f355,f356,f359,f364,f365,f366,f369,f370,f374,f384,f377,f382,f383,f390,f398,f395,f396,f21,f20,f18,f17,f12,f11,f6,f5,f24,f23,f15,f14,f280,f281,f834,f827,f862,f876,f864,f582,f861,f9,f7,f649,f4,f22,f16,f19,f10,f199,f29,f196,f368,f1455,f13,f37,f1463]) ).

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

fof(f1460,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f8,f38,f39,f40,f41,f42,f43,f44,f3,f51,f53,f26,f59,f79,f82,f60,f83,f87,f88,f86,f89,f94,f92,f96,f93,f99,f49,f90,f50,f116,f117,f127,f124,f129,f132,f126,f133,f123,f137,f134,f140,f142,f120,f144,f148,f143,f149,f151,f145,f156,f158,f159,f152,f161,f162,f163,f166,f170,f174,f169,f176,f180,f160,f182,f179,f188,f190,f186,f191,f193,f194,f212,f201,f203,f205,f206,f208,f209,f213,f211,f214,f197,f257,f226,f55,f282,f284,f286,f335,f336,f338,f297,f347,f351,f355,f356,f359,f364,f365,f366,f369,f370,f374,f384,f377,f382,f383,f390,f398,f395,f396,f21,f20,f18,f17,f12,f11,f6,f5,f24,f23,f15,f14,f280,f281,f834,f827,f862,f876,f864,f582,f861,f9,f7,f649,f4,f22,f16,f19,f10,f199,f29,f196,f368,f1455,f13,f37]) ).

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

fof(f1458,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f8,f37,f38,f39,f40,f41,f42,f43,f44,f3,f51,f53,f26,f59,f79,f82,f60,f83,f87,f88,f86,f89,f94,f92,f96,f93,f99,f49,f90,f50,f116,f117,f127,f124,f129,f132,f126,f133,f123,f137,f134,f140,f142,f120,f144,f148,f143,f149,f151,f145,f156,f158,f159,f152,f161,f162,f163,f166,f170,f174,f169,f176,f180,f160,f182,f179,f188,f190,f186,f191,f193,f194,f212,f201,f203,f205,f206,f208,f209,f213,f211,f214,f197,f257,f226,f55,f282,f284,f286,f335,f336,f338,f297,f347,f351,f355,f356,f359,f364,f365,f366,f369,f370,f374,f384,f377,f382,f383,f390,f398,f395,f396,f21,f20,f18,f17,f12,f11,f6,f5,f24,f23,f15,f14,f280,f281,f834,f827,f862,f876,f864,f582,f861,f9,f7,f649,f4,f22,f16,f19,f10,f199,f29,f196,f368,f1455,f13]) ).

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

fof(f1456,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f8,f37,f38,f39,f40,f41,f42,f43,f44,f3,f51,f53,f26,f59,f79,f82,f60,f83,f87,f88,f86,f89,f94,f92,f96,f93,f99,f49,f90,f50,f116,f117,f127,f124,f129,f132,f126,f133,f123,f137,f134,f140,f142,f120,f144,f148,f143,f149,f151,f145,f156,f158,f159,f152,f161,f162,f163,f166,f170,f174,f169,f176,f180,f160,f182,f179,f188,f190,f186,f191,f193,f194,f212,f201,f203,f205,f206,f208,f209,f213,f211,f214,f197,f257,f226,f55,f282,f284,f286,f335,f336,f338,f297,f347,f351,f355,f356,f359,f364,f365,f366,f369,f370,f374,f384,f377,f382,f383,f390,f398,f395,f396,f21,f20,f18,f17,f12,f11,f6,f5,f24,f23,f15,f14,f280,f281,f834,f827,f862,f876,f864,f582,f861,f9,f7,f649,f4,f22,f16,f19,f10,f13,f199,f29,f196,f368,f1455]) ).

fof(f1454,plain,
    ( spl0_1
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1453]) ).

fof(f1453,plain,
    ( $false
    | spl0_1
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(global_subsumption,[],[f1407,f1,f2,f8,f37,f38,f39,f40,f41,f42,f43,f44,f3,f51,f53,f26,f59,f79,f82,f60,f83,f87,f88,f86,f89,f94,f92,f96,f93,f99,f49,f90,f50,f116,f117,f127,f124,f129,f132,f126,f133,f123,f137,f134,f140,f142,f120,f144,f148,f143,f149,f151,f145,f156,f158,f159,f152,f161,f162,f163,f166,f170,f174,f169,f176,f180,f160,f182,f179,f188,f190,f186,f191,f193,f194,f212,f201,f203,f205,f206,f208,f209,f213,f211,f214,f197,f257,f226,f55,f282,f284,f286,f335,f336,f338,f297,f347,f351,f355,f356,f359,f364,f365,f366,f369,f370,f374,f384,f377,f382,f383,f390,f398,f395,f396,f21,f20,f18,f17,f12,f11,f6,f5,f24,f23,f15,f14,f280,f281,f834,f827,f862,f876,f864,f582,f861,f9,f7,f649,f4,f22,f16,f19,f10,f13,f199,f29,f196,f368]) ).

fof(f1407,plain,
    ( sk_c7 = sk_c2
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f1040,f70]) ).

fof(f1452,plain,
    ( spl0_1
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1451]) ).

fof(f1451,plain,
    ( $false
    | spl0_1
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(global_subsumption,[],[f1142,f1,f2,f8,f37,f38,f39,f40,f41,f42,f43,f44,f3,f51,f53,f26,f59,f79,f82,f60,f83,f87,f88,f86,f89,f94,f92,f96,f93,f99,f49,f90,f50,f116,f117,f127,f124,f129,f132,f126,f133,f123,f137,f134,f140,f142,f120,f144,f148,f143,f149,f151,f145,f156,f158,f159,f152,f161,f162,f163,f166,f170,f174,f169,f176,f180,f160,f182,f179,f188,f190,f186,f191,f193,f194,f212,f201,f203,f205,f206,f208,f209,f213,f211,f214,f197,f257,f226,f55,f282,f284,f286,f335,f336,f338,f297,f347,f351,f355,f356,f359,f364,f365,f366,f369,f370,f374,f384,f377,f382,f383,f390,f398,f395,f396,f21,f20,f18,f17,f12,f11,f6,f5,f24,f23,f15,f14,f280,f281,f834,f827,f862,f876,f864,f582,f861,f9,f7,f649,f4,f22,f16,f19,f10,f13,f199,f29,f196,f368]) ).

fof(f1142,plain,
    ( sk_c7 = sk_c2
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f1134,f281]) ).

fof(f1134,plain,
    ( sk_c2 = multiply(inverse(inverse(sk_c7)),identity)
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(superposition,[],[f1000,f70]) ).

fof(f1450,plain,
    ( spl0_1
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1449]) ).

fof(f1449,plain,
    ( $false
    | spl0_1
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(global_subsumption,[],[f1133,f1,f2,f8,f37,f38,f39,f40,f41,f42,f43,f44,f3,f51,f53,f26,f59,f79,f82,f60,f83,f87,f88,f86,f89,f94,f92,f96,f93,f99,f49,f90,f50,f116,f117,f127,f124,f129,f132,f126,f133,f123,f137,f134,f140,f142,f120,f144,f148,f143,f149,f151,f145,f156,f158,f159,f152,f161,f162,f163,f166,f170,f174,f169,f176,f180,f160,f182,f179,f188,f190,f186,f191,f193,f194,f212,f201,f203,f205,f206,f208,f209,f213,f211,f214,f197,f257,f226,f55,f282,f284,f286,f335,f336,f338,f297,f347,f351,f355,f356,f359,f364,f365,f366,f369,f370,f374,f384,f377,f382,f383,f390,f398,f395,f396,f21,f20,f18,f17,f12,f11,f6,f5,f24,f23,f15,f14,f280,f281,f834,f827,f862,f876,f864,f582,f861,f9,f7,f649,f4,f22,f16,f19,f10,f13,f199,f29,f196,f368]) ).

fof(f1133,plain,
    ( sk_c7 = sk_c2
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(superposition,[],[f1040,f70]) ).

fof(f1448,plain,
    ( spl0_1
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1447]) ).

fof(f1447,plain,
    ( $false
    | spl0_1
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(global_subsumption,[],[f659,f1,f2,f8,f37,f38,f39,f40,f41,f42,f43,f44,f3,f51,f53,f26,f59,f79,f82,f60,f83,f87,f88,f86,f89,f94,f92,f96,f93,f99,f49,f90,f50,f116,f117,f127,f124,f129,f132,f126,f133,f123,f137,f134,f140,f142,f120,f144,f148,f143,f149,f151,f145,f156,f158,f159,f152,f161,f162,f163,f166,f170,f174,f169,f176,f180,f160,f182,f179,f188,f190,f186,f191,f193,f194,f212,f201,f203,f205,f206,f208,f209,f213,f211,f214,f197,f257,f226,f55,f282,f284,f286,f335,f336,f338,f297,f347,f351,f355,f356,f359,f364,f365,f366,f369,f370,f374,f384,f377,f382,f383,f390,f398,f395,f396,f21,f20,f18,f17,f12,f11,f6,f5,f24,f23,f15,f14,f280,f281,f834,f827,f862,f876,f864,f582,f861,f9,f7,f649,f4,f22,f16,f19,f10,f13,f199,f29,f196,f368]) ).

fof(f659,plain,
    ( sk_c7 = sk_c2
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f658,f620]) ).

fof(f620,plain,
    ( sk_c7 = multiply(sk_c7,identity)
    | ~ spl0_4 ),
    inference(superposition,[],[f556,f611]) ).

fof(f611,plain,
    ( identity = multiply(sk_c6,sk_c7)
    | ~ spl0_4 ),
    inference(superposition,[],[f569,f2]) ).

fof(f569,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(sk_c7),X0)
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f568,f1]) ).

fof(f568,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(sk_c7),multiply(identity,X0))
    | ~ spl0_4 ),
    inference(superposition,[],[f3,f564]) ).

fof(f556,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c6,X0)) = X0
    | ~ spl0_4 ),
    inference(superposition,[],[f55,f70]) ).

fof(f658,plain,
    ( sk_c2 = multiply(sk_c7,identity)
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f655,f70]) ).

fof(f1446,plain,
    ( spl0_1
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1445]) ).

fof(f1445,plain,
    ( $false
    | spl0_1
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(global_subsumption,[],[f1132,f1,f2,f8,f37,f38,f39,f40,f41,f42,f43,f44,f3,f51,f53,f26,f59,f79,f82,f60,f83,f87,f88,f86,f89,f94,f92,f96,f93,f99,f49,f90,f50,f116,f117,f127,f124,f129,f132,f126,f133,f123,f137,f134,f140,f142,f120,f144,f148,f143,f149,f151,f145,f156,f158,f159,f152,f161,f162,f163,f166,f170,f174,f169,f176,f180,f160,f182,f179,f188,f190,f186,f191,f193,f194,f212,f201,f203,f205,f206,f208,f209,f213,f211,f214,f197,f257,f226,f55,f282,f284,f286,f335,f336,f338,f297,f347,f351,f355,f356,f359,f364,f365,f366,f369,f370,f374,f384,f377,f382,f383,f390,f398,f395,f396,f21,f20,f18,f17,f12,f11,f6,f5,f24,f23,f15,f14,f280,f281,f834,f827,f862,f876,f864,f582,f861,f9,f7,f649,f4,f22,f16,f19,f10,f13,f199,f29,f196,f368]) ).

fof(f1132,plain,
    ( sk_c7 = sk_c2
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(superposition,[],[f70,f1040]) ).

fof(f1444,plain,
    ( spl0_1
    | ~ spl0_7
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1443]) ).

fof(f1443,plain,
    ( $false
    | spl0_1
    | ~ spl0_7
    | spl0_8 ),
    inference(global_subsumption,[],[f646,f1,f2,f8,f37,f38,f39,f40,f41,f42,f43,f44,f3,f51,f53,f26,f59,f79,f82,f60,f83,f87,f88,f86,f89,f94,f92,f96,f93,f99,f49,f90,f50,f116,f117,f127,f124,f129,f132,f126,f133,f123,f137,f134,f140,f142,f120,f144,f148,f143,f149,f151,f145,f156,f158,f159,f152,f161,f162,f163,f166,f170,f174,f169,f176,f180,f160,f182,f179,f188,f190,f186,f191,f193,f194,f212,f201,f203,f205,f206,f208,f209,f213,f211,f214,f197,f257,f226,f55,f282,f284,f286,f335,f336,f338,f297,f347,f351,f355,f356,f359,f364,f365,f366,f369,f370,f374,f384,f377,f382,f383,f390,f398,f395,f396,f21,f20,f18,f17,f12,f11,f6,f5,f24,f23,f15,f14,f280,f281,f834,f827,f862,f876,f864,f582,f861,f9,f7,f649,f4,f22,f16,f19,f10,f13,f199,f29,f196,f368]) ).

fof(f1442,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1441]) ).

fof(f1441,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f8,f37,f38,f39,f40,f41,f42,f43,f44,f3,f51,f53,f26,f59,f79,f82,f60,f83,f87,f88,f86,f89,f94,f92,f96,f93,f99,f49,f90,f50,f116,f117,f127,f124,f129,f132,f126,f133,f123,f137,f134,f140,f142,f120,f144,f148,f143,f149,f151,f145,f156,f158,f159,f152,f161,f162,f163,f166,f170,f174,f169,f176,f180,f160,f182,f179,f188,f190,f186,f191,f193,f194,f212,f201,f203,f205,f206,f208,f209,f213,f211,f214,f197,f257,f226,f55,f282,f284,f286,f335,f336,f338,f297,f347,f351,f355,f356,f359,f364,f365,f366,f369,f370,f374,f384,f377,f382,f383,f390,f398,f395,f396,f21,f20,f18,f17,f12,f11,f6,f5,f24,f23,f15,f14,f280,f281,f834,f827,f862,f876,f864,f582,f861,f9,f7,f649,f4,f22,f16,f19,f10,f13,f199,f29,f196,f368]) ).

fof(f1440,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1439]) ).

fof(f1439,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f8,f37,f38,f39,f40,f41,f42,f43,f44,f3,f51,f53,f26,f59,f79,f82,f60,f83,f87,f88,f86,f89,f94,f92,f96,f93,f99,f49,f90,f50,f116,f117,f127,f124,f129,f132,f126,f133,f123,f137,f134,f140,f142,f120,f144,f148,f143,f149,f151,f145,f156,f158,f159,f152,f161,f162,f163,f166,f170,f174,f169,f176,f180,f160,f182,f179,f188,f190,f186,f191,f193,f194,f212,f201,f203,f205,f206,f208,f209,f213,f211,f214,f197,f257,f226,f55,f282,f284,f286,f335,f336,f338,f297,f347,f351,f355,f356,f359,f364,f365,f366,f369,f370,f374,f384,f377,f382,f383,f390,f398,f395,f396,f21,f20,f18,f17,f12,f11,f6,f5,f24,f23,f15,f14,f280,f281,f834,f827,f862,f876,f864,f582,f861,f9,f7,f649,f4,f22,f16,f19,f10,f13,f368,f199,f29,f196]) ).

fof(f1436,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1435]) ).

fof(f1435,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f1434,f34]) ).

fof(f1434,plain,
    ( sk_c8 != inverse(sk_c1)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(trivial_inequality_removal,[],[f1431]) ).

fof(f1431,plain,
    ( identity != identity
    | sk_c8 != inverse(sk_c1)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(superposition,[],[f1261,f1391]) ).

fof(f1391,plain,
    ( identity = multiply(sk_c1,sk_c8)
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f1364,f1,f2,f8,f36,f3,f58,f26,f55,f284,f297,f300,f475,f21,f20,f18,f17,f12,f11,f6,f5,f24,f23,f15,f14,f473,f280,f291,f588,f589,f591,f592,f585,f597,f598,f586,f594,f587,f575,f637,f577,f689,f688,f694,f692,f695,f697,f635,f761,f763,f687,f775,f776,f770,f789,f281,f834,f827,f862,f876,f864,f582,f861,f9,f7,f4,f22,f16,f19,f10,f13,f34,f788]) ).

fof(f788,plain,
    ( sk_c1 = inverse(sk_c8)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f785,f586]) ).

fof(f785,plain,
    ( multiply(sk_c1,identity) = inverse(sk_c8)
    | ~ spl0_2 ),
    inference(superposition,[],[f587,f770]) ).

fof(f789,plain,
    ( sk_c1 = inverse(sk_c8)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f786,f300]) ).

fof(f786,plain,
    ( inverse(sk_c8) = multiply(inverse(sk_c8),identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f55,f770]) ).

fof(f770,plain,
    ( identity = multiply(sk_c8,inverse(sk_c8))
    | ~ spl0_2 ),
    inference(superposition,[],[f687,f2]) ).

fof(f776,plain,
    ( ! [X0] : multiply(inverse(inverse(inverse(sk_c8))),multiply(sk_c8,X0)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f55,f687]) ).

fof(f775,plain,
    ( identity = multiply(sk_c8,inverse(sk_c8))
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f687]) ).

fof(f687,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(inverse(sk_c8)),X0)
    | ~ spl0_2 ),
    inference(superposition,[],[f577,f587]) ).

fof(f763,plain,
    ( ! [X0] : multiply(inverse(inverse(inverse(inverse(sk_c8)))),multiply(sk_c1,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f762,f1]) ).

fof(f762,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(inverse(inverse(sk_c8)))),multiply(sk_c1,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f635]) ).

fof(f761,plain,
    ( sk_c1 = multiply(inverse(inverse(inverse(inverse(inverse(sk_c8))))),identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f55,f635]) ).

fof(f635,plain,
    ( identity = multiply(inverse(inverse(inverse(inverse(sk_c8)))),sk_c1)
    | ~ spl0_2 ),
    inference(superposition,[],[f55,f575]) ).

fof(f697,plain,
    ( ! [X0] : multiply(inverse(inverse(inverse(sk_c8))),multiply(sk_c8,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f696,f1]) ).

fof(f696,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(inverse(sk_c8))),multiply(sk_c8,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f692]) ).

fof(f695,plain,
    ( sk_c8 = multiply(inverse(inverse(inverse(inverse(sk_c8)))),identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f55,f692]) ).

fof(f692,plain,
    ( identity = multiply(inverse(inverse(inverse(sk_c8))),sk_c8)
    | ~ spl0_2 ),
    inference(superposition,[],[f55,f688]) ).

fof(f694,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(inverse(sk_c8)),X0)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f693,f1]) ).

fof(f693,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(inverse(sk_c8)),multiply(identity,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f688]) ).

fof(f688,plain,
    ( sk_c8 = multiply(inverse(inverse(sk_c8)),identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f577,f585]) ).

fof(f689,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(inverse(inverse(sk_c8))),X0)
    | ~ spl0_2 ),
    inference(superposition,[],[f55,f577]) ).

fof(f577,plain,
    ( ! [X0] : multiply(inverse(inverse(sk_c8)),multiply(sk_c1,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f576,f1]) ).

fof(f576,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(sk_c8)),multiply(sk_c1,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f473]) ).

fof(f637,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(inverse(inverse(sk_c8))),X0)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f636,f1]) ).

fof(f636,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(inverse(inverse(sk_c8))),multiply(identity,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f575]) ).

fof(f575,plain,
    ( sk_c1 = multiply(inverse(inverse(inverse(sk_c8))),identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f55,f473]) ).

fof(f587,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c8,X0)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f291,f55]) ).

fof(f594,plain,
    ( sk_c8 = multiply(sk_c8,identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f58,f585]) ).

fof(f586,plain,
    ( sk_c1 = multiply(sk_c1,identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f291,f300]) ).

fof(f598,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c8,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f596,f1]) ).

fof(f596,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c1,multiply(sk_c8,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f585]) ).

fof(f597,plain,
    ( sk_c8 = multiply(sk_c8,identity)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f595,f34]) ).

fof(f595,plain,
    ( sk_c8 = multiply(inverse(sk_c1),identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f55,f585]) ).

fof(f585,plain,
    ( identity = multiply(sk_c1,sk_c8)
    | ~ spl0_2 ),
    inference(superposition,[],[f291,f2]) ).

fof(f592,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c8,X0)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f55,f291]) ).

fof(f591,plain,
    ( sk_c1 = multiply(sk_c1,identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f300,f291]) ).

fof(f589,plain,
    ( ! [X0] : multiply(inverse(inverse(sk_c8)),multiply(sk_c1,X0)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f55,f291]) ).

fof(f588,plain,
    ( identity = multiply(sk_c1,sk_c8)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f291]) ).

fof(f291,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c8),X0)
    | ~ spl0_2 ),
    inference(superposition,[],[f55,f58]) ).

fof(f473,plain,
    ( identity = multiply(inverse(inverse(sk_c8)),sk_c1)
    | ~ spl0_2 ),
    inference(superposition,[],[f55,f300]) ).

fof(f475,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c8),X0)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f474,f1]) ).

fof(f474,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c8),multiply(identity,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f300]) ).

fof(f300,plain,
    ( sk_c1 = multiply(inverse(sk_c8),identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f55,f36]) ).

fof(f1364,plain,
    ( identity = multiply(sk_c1,sk_c8)
    | identity = multiply(sk_c5,sk_c8)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1363,f650]) ).

fof(f650,plain,
    ( identity = sk_c7
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f648]) ).

fof(f1363,plain,
    ( identity = multiply(sk_c5,sk_c8)
    | multiply(sk_c1,sk_c8) = sk_c7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f4,f650]) ).

fof(f1261,plain,
    ( ! [X7] :
        ( identity != multiply(X7,sk_c8)
        | sk_c8 != inverse(X7) )
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f74,f650]) ).

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

fof(f1388,plain,
    ( $false
    | spl0_1
    | spl0_7 ),
    inference(global_subsumption,[],[f1,f2,f8,f37,f38,f39,f40,f41,f42,f43,f44,f3,f51,f53,f26,f59,f79,f82,f60,f83,f87,f88,f86,f89,f94,f92,f96,f93,f99,f49,f90,f50,f116,f117,f127,f124,f129,f132,f126,f133,f123,f137,f134,f140,f142,f120,f144,f148,f143,f149,f151,f145,f156,f158,f159,f152,f161,f162,f163,f166,f170,f174,f169,f176,f180,f160,f182,f179,f188,f190,f186,f191,f193,f194,f212,f201,f203,f205,f206,f208,f209,f213,f211,f214,f197,f257,f226,f55,f282,f284,f286,f335,f336,f338,f297,f347,f351,f355,f356,f359,f364,f365,f366,f369,f370,f374,f384,f377,f382,f383,f390,f398,f395,f396,f21,f20,f18,f17,f12,f11,f6,f5,f24,f23,f15,f14,f280,f281,f834,f827,f862,f876,f864,f582,f861,f9,f7,f4,f22,f16,f19,f10,f13,f645,f1334,f368,f199,f196,f29]) ).

fof(f1334,plain,
    ( sk_c8 = inverse(sk_c5)
    | spl0_7 ),
    inference(subsumption_resolution,[],[f14,f645]) ).

fof(f645,plain,
    ( sk_c6 != inverse(sk_c2)
    | spl0_7 ),
    inference(avatar_component_clause,[],[f644]) ).

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

fof(f1386,plain,
    ( $false
    | spl0_1
    | spl0_7 ),
    inference(subsumption_resolution,[],[f37,f645]) ).

fof(f1385,plain,
    ( spl0_1
    | spl0_7
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1384]) ).

fof(f1384,plain,
    ( $false
    | spl0_1
    | spl0_7
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f1383,f1,f2,f8,f29,f37,f38,f39,f40,f41,f42,f43,f44,f3,f51,f53,f26,f59,f79,f82,f60,f83,f87,f88,f86,f89,f94,f92,f96,f93,f99,f49,f90,f50,f116,f117,f127,f124,f129,f132,f126,f133,f123,f137,f134,f140,f142,f120,f144,f148,f143,f149,f151,f145,f156,f158,f159,f152,f161,f162,f163,f166,f170,f174,f169,f176,f180,f160,f182,f179,f188,f190,f186,f191,f193,f194,f212,f201,f203,f205,f206,f208,f209,f213,f211,f214,f197,f257,f226,f55,f282,f284,f286,f335,f336,f338,f297,f347,f351,f355,f356,f359,f364,f365,f366,f369,f370,f374,f384,f377,f382,f383,f390,f398,f395,f396,f21,f20,f18,f17,f12,f11,f6,f5,f24,f23,f15,f14,f280,f281,f834,f827,f862,f876,f864,f582,f861,f9,f7,f4,f22,f16,f19,f10,f13,f645,f1334,f368,f199,f196]) ).

fof(f1383,plain,
    ( identity = inverse(sk_c3)
    | spl0_1
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f39,f650]) ).

fof(f1382,plain,
    ( spl0_1
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1381]) ).

fof(f1381,plain,
    ( $false
    | spl0_1
    | spl0_7 ),
    inference(global_subsumption,[],[f1,f2,f8,f29,f37,f38,f39,f40,f41,f42,f43,f44,f3,f51,f53,f26,f59,f79,f82,f60,f83,f87,f88,f86,f89,f94,f92,f96,f93,f99,f49,f90,f50,f116,f117,f127,f124,f129,f132,f126,f133,f123,f137,f134,f140,f142,f120,f144,f148,f143,f149,f151,f145,f156,f158,f159,f152,f161,f162,f163,f166,f170,f174,f169,f176,f180,f160,f182,f179,f188,f190,f186,f191,f193,f194,f212,f201,f203,f205,f206,f208,f209,f213,f211,f214,f197,f257,f226,f55,f282,f284,f286,f335,f336,f338,f297,f347,f351,f355,f356,f359,f364,f365,f366,f369,f370,f374,f384,f377,f382,f383,f390,f398,f395,f396,f21,f20,f18,f17,f12,f11,f6,f5,f24,f23,f15,f14,f280,f281,f834,f827,f862,f876,f864,f582,f861,f9,f7,f4,f22,f16,f19,f10,f13,f645,f1334,f368,f199,f196]) ).

fof(f1380,plain,
    ( spl0_1
    | spl0_7
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1379]) ).

fof(f1379,plain,
    ( $false
    | spl0_1
    | spl0_7
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f1378,f1,f2,f8,f29,f37,f38,f39,f40,f41,f42,f43,f44,f3,f51,f53,f26,f59,f79,f82,f60,f83,f87,f88,f86,f89,f94,f92,f96,f93,f99,f49,f90,f50,f116,f117,f127,f124,f129,f132,f126,f133,f123,f137,f134,f140,f142,f120,f144,f148,f143,f149,f151,f145,f156,f158,f159,f152,f161,f162,f163,f166,f170,f174,f169,f176,f180,f160,f182,f179,f188,f190,f186,f191,f193,f194,f212,f201,f203,f205,f206,f208,f209,f213,f211,f214,f197,f196,f257,f226,f55,f282,f284,f286,f335,f336,f338,f297,f347,f351,f355,f356,f359,f364,f365,f366,f369,f370,f374,f384,f377,f382,f383,f390,f398,f395,f396,f21,f20,f18,f17,f12,f11,f6,f5,f24,f23,f15,f14,f280,f281,f834,f827,f862,f876,f864,f582,f861,f9,f7,f4,f22,f16,f19,f10,f13,f645,f1334,f368,f199]) ).

fof(f1378,plain,
    ( identity = sk_c4
    | spl0_1
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f197,f650]) ).

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

fof(f1376,plain,
    ( $false
    | spl0_1
    | spl0_7 ),
    inference(global_subsumption,[],[f1,f2,f8,f29,f37,f38,f39,f40,f41,f42,f43,f44,f3,f51,f53,f26,f59,f79,f82,f60,f83,f87,f88,f86,f89,f94,f92,f96,f93,f99,f49,f90,f50,f116,f117,f127,f124,f129,f132,f126,f133,f123,f137,f134,f140,f142,f120,f144,f148,f143,f149,f151,f145,f156,f158,f159,f152,f161,f162,f163,f166,f170,f174,f169,f176,f180,f160,f182,f179,f188,f190,f186,f191,f193,f194,f212,f201,f203,f205,f206,f208,f209,f213,f211,f214,f197,f196,f257,f226,f55,f282,f284,f286,f335,f336,f338,f297,f347,f351,f355,f356,f359,f364,f365,f366,f369,f370,f374,f384,f377,f382,f383,f390,f398,f395,f396,f21,f20,f18,f17,f12,f11,f6,f5,f24,f23,f15,f14,f280,f281,f834,f827,f862,f876,f864,f582,f861,f9,f7,f4,f22,f16,f19,f10,f13,f645,f1334,f368,f199]) ).

fof(f1373,plain,
    ( spl0_1
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1372]) ).

fof(f1372,plain,
    ( $false
    | spl0_1
    | spl0_7 ),
    inference(global_subsumption,[],[f1,f2,f8,f29,f37,f38,f39,f40,f41,f42,f43,f44,f3,f51,f53,f26,f59,f79,f82,f60,f83,f87,f88,f86,f89,f94,f92,f96,f93,f99,f49,f90,f50,f116,f117,f127,f124,f129,f132,f126,f133,f123,f137,f134,f140,f142,f120,f144,f148,f143,f149,f151,f145,f156,f158,f159,f152,f161,f162,f163,f166,f170,f174,f169,f176,f180,f160,f182,f179,f188,f190,f186,f191,f193,f194,f212,f201,f203,f205,f206,f208,f209,f213,f211,f214,f197,f199,f196,f257,f226,f55,f282,f284,f286,f335,f336,f338,f297,f347,f351,f355,f356,f359,f364,f365,f366,f369,f370,f374,f384,f377,f382,f383,f390,f398,f395,f396,f21,f20,f18,f17,f12,f11,f6,f5,f24,f23,f15,f14,f280,f281,f834,f827,f862,f876,f864,f582,f861,f9,f7,f4,f22,f16,f19,f10,f13,f645,f1334,f368]) ).

fof(f1370,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1369]) ).

fof(f1369,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(global_subsumption,[],[f34,f1,f2,f8,f29,f37,f38,f39,f40,f41,f42,f43,f44,f3,f51,f53,f26,f59,f79,f82,f60,f83,f87,f88,f86,f89,f94,f92,f96,f93,f99,f49,f90,f50,f116,f117,f127,f124,f129,f132,f126,f133,f123,f137,f134,f140,f142,f120,f144,f148,f143,f149,f151,f145,f156,f158,f159,f152,f161,f162,f163,f166,f170,f174,f169,f176,f180,f160,f182,f179,f188,f190,f186,f191,f193,f194,f212,f201,f203,f205,f206,f208,f209,f213,f211,f214,f197,f199,f196,f257,f226,f55,f282,f284,f286,f335,f336,f338,f297,f347,f351,f355,f356,f359,f364,f365,f366,f369,f370,f368,f374,f384,f377,f382,f383,f390,f398,f395,f396,f21,f20,f18,f17,f12,f11,f6,f5,f24,f23,f15,f14,f280,f281,f834,f827,f862,f876,f864,f582,f861,f9,f7,f4,f22,f16,f19,f10,f13,f645,f1334]) ).

fof(f1368,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1367]) ).

fof(f1367,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(global_subsumption,[],[f788,f1,f2,f8,f29,f37,f38,f39,f40,f41,f42,f43,f44,f3,f51,f53,f26,f59,f79,f82,f60,f83,f87,f88,f86,f89,f94,f92,f96,f93,f99,f49,f90,f50,f116,f117,f127,f124,f129,f132,f126,f133,f123,f137,f134,f140,f142,f120,f144,f148,f143,f149,f151,f145,f156,f158,f159,f152,f161,f162,f163,f166,f170,f174,f169,f176,f180,f160,f182,f179,f188,f190,f186,f191,f193,f194,f212,f201,f203,f205,f206,f208,f209,f213,f211,f214,f197,f199,f196,f257,f226,f55,f282,f284,f286,f335,f336,f338,f297,f347,f351,f355,f356,f359,f364,f365,f366,f369,f370,f368,f374,f384,f377,f382,f383,f390,f398,f395,f396,f21,f20,f18,f17,f12,f11,f6,f5,f24,f23,f15,f14,f280,f281,f834,f827,f862,f876,f864,f582,f861,f9,f7,f4,f22,f16,f19,f10,f13,f645,f1334]) ).

fof(f1366,plain,
    ( spl0_1
    | spl0_7
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1365]) ).

fof(f1365,plain,
    ( $false
    | spl0_1
    | spl0_7
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f1364,f1,f2,f8,f29,f37,f38,f39,f40,f41,f42,f43,f44,f3,f51,f53,f26,f59,f79,f82,f60,f83,f87,f88,f86,f89,f94,f92,f96,f93,f99,f49,f90,f50,f116,f117,f127,f124,f129,f132,f126,f133,f123,f137,f134,f140,f142,f120,f144,f148,f143,f149,f151,f145,f156,f158,f159,f152,f161,f162,f163,f166,f170,f174,f169,f176,f180,f160,f182,f179,f188,f190,f186,f191,f193,f194,f212,f201,f203,f205,f206,f208,f209,f213,f211,f214,f197,f199,f196,f257,f226,f55,f282,f284,f286,f335,f336,f338,f297,f347,f351,f355,f356,f359,f364,f365,f366,f369,f370,f368,f374,f384,f377,f382,f383,f390,f398,f395,f396,f21,f20,f18,f17,f12,f11,f6,f5,f24,f23,f15,f14,f280,f281,f834,f827,f862,f876,f864,f582,f861,f9,f7,f4,f22,f16,f19,f10,f13,f645,f1334]) ).

fof(f1362,plain,
    ( spl0_1
    | spl0_7
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1361]) ).

fof(f1361,plain,
    ( $false
    | spl0_1
    | spl0_7
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f1360,f1,f2,f8,f29,f37,f38,f39,f40,f41,f42,f43,f44,f3,f51,f53,f26,f59,f79,f82,f60,f83,f87,f88,f86,f89,f94,f92,f96,f93,f99,f49,f90,f50,f116,f117,f127,f124,f129,f132,f126,f133,f123,f137,f134,f140,f142,f120,f144,f148,f143,f149,f151,f145,f156,f158,f159,f152,f161,f162,f163,f166,f170,f174,f169,f176,f180,f160,f182,f179,f188,f190,f186,f191,f193,f194,f212,f201,f203,f205,f206,f208,f209,f213,f211,f214,f197,f199,f196,f257,f226,f55,f282,f284,f286,f335,f336,f338,f297,f347,f351,f355,f356,f359,f364,f365,f366,f369,f370,f368,f374,f384,f377,f382,f383,f390,f398,f395,f396,f21,f20,f18,f17,f12,f11,f6,f5,f24,f23,f15,f14,f280,f281,f834,f827,f862,f876,f864,f582,f861,f9,f7,f4,f22,f16,f19,f10,f13,f645,f1334]) ).

fof(f1360,plain,
    ( identity = multiply(sk_c5,sk_c8)
    | identity = inverse(sk_c3)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1359,f650]) ).

fof(f1359,plain,
    ( identity = inverse(sk_c3)
    | sk_c7 = multiply(sk_c5,sk_c8)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f22,f650]) ).

fof(f1358,plain,
    ( spl0_1
    | spl0_7
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1357]) ).

fof(f1357,plain,
    ( $false
    | spl0_1
    | spl0_7
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f1356,f1,f2,f8,f29,f37,f38,f39,f40,f41,f42,f43,f44,f3,f51,f53,f26,f59,f79,f82,f60,f83,f87,f88,f86,f89,f94,f92,f96,f93,f99,f49,f90,f50,f116,f117,f127,f124,f129,f132,f126,f133,f123,f137,f134,f140,f142,f120,f144,f148,f143,f149,f151,f145,f156,f158,f159,f152,f161,f162,f163,f166,f170,f174,f169,f176,f180,f160,f182,f179,f188,f190,f186,f191,f193,f194,f212,f201,f203,f205,f206,f208,f209,f213,f211,f214,f197,f199,f196,f257,f226,f55,f282,f284,f286,f335,f336,f338,f297,f347,f351,f355,f356,f359,f364,f365,f366,f369,f370,f368,f374,f384,f377,f382,f383,f390,f398,f395,f396,f21,f20,f18,f17,f12,f11,f6,f5,f24,f23,f15,f14,f280,f281,f834,f827,f862,f876,f864,f582,f861,f9,f7,f4,f22,f16,f19,f10,f13,f645,f1334]) ).

fof(f1356,plain,
    ( identity = multiply(sk_c5,sk_c8)
    | sk_c8 = inverse(sk_c1)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f7,f650]) ).

fof(f1355,plain,
    ( spl0_1
    | ~ spl0_4
    | spl0_7
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1354]) ).

fof(f1354,plain,
    ( $false
    | spl0_1
    | ~ spl0_4
    | spl0_7
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f1353,f1,f2,f8,f29,f37,f38,f39,f40,f41,f42,f43,f44,f3,f51,f53,f26,f59,f79,f82,f60,f83,f87,f88,f86,f89,f94,f92,f96,f93,f99,f49,f90,f50,f116,f117,f127,f124,f129,f132,f126,f133,f123,f137,f134,f140,f142,f120,f144,f148,f143,f149,f151,f145,f156,f158,f159,f152,f161,f162,f163,f166,f170,f174,f169,f176,f180,f160,f182,f179,f188,f190,f186,f191,f193,f194,f212,f201,f203,f205,f206,f208,f209,f213,f211,f214,f197,f199,f196,f257,f226,f55,f282,f284,f286,f335,f336,f338,f297,f347,f351,f355,f356,f359,f364,f365,f366,f369,f370,f368,f374,f384,f377,f382,f383,f390,f398,f395,f396,f21,f20,f18,f17,f12,f11,f6,f5,f24,f23,f15,f14,f280,f281,f834,f827,f862,f876,f864,f582,f861,f9,f7,f4,f22,f16,f19,f10,f13,f645,f1334]) ).

fof(f1353,plain,
    ( identity = multiply(sk_c5,sk_c8)
    | identity = sk_c4
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1352,f650]) ).

fof(f1352,plain,
    ( identity = sk_c4
    | sk_c7 = multiply(sk_c5,sk_c8)
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1351,f715]) ).

fof(f715,plain,
    ( identity = sk_c6
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f707,f2]) ).

fof(f707,plain,
    ( sk_c6 = multiply(inverse(identity),identity)
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(superposition,[],[f564,f650]) ).

fof(f1351,plain,
    ( sk_c6 = sk_c4
    | sk_c7 = multiply(sk_c5,sk_c8)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1350,f1]) ).

fof(f1350,plain,
    ( sk_c6 = multiply(identity,sk_c4)
    | sk_c7 = multiply(sk_c5,sk_c8)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f16,f650]) ).

fof(f1349,plain,
    ( spl0_1
    | spl0_7
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1348]) ).

fof(f1348,plain,
    ( $false
    | spl0_1
    | spl0_7
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f1347,f1,f2,f8,f29,f37,f38,f39,f40,f41,f42,f43,f44,f3,f51,f53,f26,f59,f79,f82,f60,f83,f87,f88,f86,f89,f94,f92,f96,f93,f99,f49,f90,f50,f116,f117,f127,f124,f129,f132,f126,f133,f123,f137,f134,f140,f142,f120,f144,f148,f143,f149,f151,f145,f156,f158,f159,f152,f161,f162,f163,f166,f170,f174,f169,f176,f180,f160,f182,f179,f188,f190,f186,f191,f193,f194,f212,f201,f203,f205,f206,f208,f209,f213,f211,f214,f197,f199,f196,f257,f226,f55,f282,f284,f286,f335,f336,f338,f297,f347,f351,f355,f356,f359,f364,f365,f366,f369,f370,f368,f374,f384,f377,f382,f383,f390,f398,f395,f396,f21,f20,f18,f17,f12,f11,f6,f5,f24,f23,f15,f14,f280,f281,f834,f827,f862,f876,f864,f582,f861,f9,f7,f4,f22,f16,f19,f10,f13,f645,f1334]) ).

fof(f1347,plain,
    ( identity = multiply(sk_c5,sk_c8)
    | sk_c4 = multiply(sk_c3,identity)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1346,f650]) ).

fof(f1346,plain,
    ( sk_c4 = multiply(sk_c3,identity)
    | sk_c7 = multiply(sk_c5,sk_c8)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f19,f650]) ).

fof(f1345,plain,
    ( spl0_1
    | ~ spl0_4
    | spl0_7
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1344]) ).

fof(f1344,plain,
    ( $false
    | spl0_1
    | ~ spl0_4
    | spl0_7
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f1343,f1,f2,f8,f29,f37,f38,f39,f40,f41,f42,f43,f44,f3,f51,f53,f26,f59,f79,f82,f60,f83,f87,f88,f86,f89,f94,f92,f96,f93,f99,f49,f90,f50,f116,f117,f127,f124,f129,f132,f126,f133,f123,f137,f134,f140,f142,f120,f144,f148,f143,f149,f151,f145,f156,f158,f159,f152,f161,f162,f163,f166,f170,f174,f169,f176,f180,f160,f182,f179,f188,f190,f186,f191,f193,f194,f212,f201,f203,f205,f206,f208,f209,f213,f211,f214,f197,f199,f196,f257,f226,f55,f282,f284,f286,f335,f336,f338,f297,f347,f351,f355,f356,f359,f364,f365,f366,f369,f370,f368,f374,f384,f377,f382,f383,f390,f398,f395,f396,f21,f20,f18,f17,f12,f11,f6,f5,f24,f23,f15,f14,f280,f281,f834,f827,f862,f876,f864,f582,f861,f9,f7,f4,f22,f16,f19,f10,f13,f645,f1334]) ).

fof(f1343,plain,
    ( identity = multiply(sk_c5,sk_c8)
    | identity = multiply(sk_c2,identity)
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1342,f650]) ).

fof(f1342,plain,
    ( identity = multiply(sk_c2,identity)
    | sk_c7 = multiply(sk_c5,sk_c8)
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1341,f650]) ).

fof(f1341,plain,
    ( sk_c7 = multiply(sk_c2,identity)
    | sk_c7 = multiply(sk_c5,sk_c8)
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f10,f715]) ).

fof(f1340,plain,
    ( spl0_1
    | spl0_7
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1339]) ).

fof(f1339,plain,
    ( $false
    | spl0_1
    | spl0_7
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f1338,f1,f2,f8,f29,f37,f38,f39,f40,f41,f42,f43,f44,f3,f51,f53,f26,f59,f79,f82,f60,f83,f87,f88,f86,f89,f94,f92,f96,f93,f99,f49,f90,f50,f116,f117,f127,f124,f129,f132,f126,f133,f123,f137,f134,f140,f142,f120,f144,f148,f143,f149,f151,f145,f156,f158,f159,f152,f161,f162,f163,f166,f170,f174,f169,f176,f180,f160,f182,f179,f188,f190,f186,f191,f193,f194,f212,f201,f203,f205,f206,f208,f209,f213,f211,f214,f197,f199,f196,f257,f226,f55,f282,f284,f286,f335,f336,f338,f297,f347,f351,f355,f356,f359,f364,f365,f366,f369,f370,f368,f374,f384,f377,f382,f383,f390,f398,f395,f396,f21,f20,f18,f17,f12,f11,f6,f5,f24,f23,f15,f14,f280,f281,f834,f827,f862,f876,f864,f582,f861,f9,f7,f4,f22,f16,f19,f10,f13,f645,f1334]) ).

fof(f1338,plain,
    ( identity = multiply(sk_c5,sk_c8)
    | spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1337,f650]) ).

fof(f1337,plain,
    ( sk_c7 = multiply(sk_c5,sk_c8)
    | spl0_7 ),
    inference(subsumption_resolution,[],[f13,f645]) ).

fof(f1336,plain,
    ( spl0_1
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1335]) ).

fof(f1335,plain,
    ( $false
    | spl0_1
    | spl0_7 ),
    inference(global_subsumption,[],[f1,f2,f8,f29,f37,f38,f39,f40,f41,f42,f43,f44,f3,f51,f53,f26,f59,f79,f82,f60,f83,f87,f88,f86,f89,f94,f92,f96,f93,f99,f49,f90,f50,f116,f117,f127,f124,f129,f132,f126,f133,f123,f137,f134,f140,f142,f120,f144,f148,f143,f149,f151,f145,f156,f158,f159,f152,f161,f162,f163,f166,f170,f174,f169,f176,f180,f160,f182,f179,f188,f190,f186,f191,f193,f194,f212,f201,f203,f205,f206,f208,f209,f213,f211,f214,f197,f199,f196,f257,f226,f55,f282,f284,f286,f335,f336,f338,f297,f347,f351,f355,f356,f359,f364,f365,f366,f369,f370,f368,f374,f384,f377,f382,f383,f390,f398,f395,f396,f21,f20,f18,f17,f12,f11,f6,f5,f24,f23,f15,f14,f280,f281,f834,f827,f862,f876,f864,f582,f861,f9,f7,f4,f22,f16,f19,f10,f13,f645,f1334]) ).

fof(f1333,plain,
    ( spl0_1
    | spl0_7
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1332]) ).

fof(f1332,plain,
    ( $false
    | spl0_1
    | spl0_7
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f1331,f1,f2,f8,f29,f37,f38,f39,f40,f41,f42,f43,f44,f3,f51,f53,f26,f59,f79,f82,f60,f83,f87,f88,f86,f89,f94,f92,f96,f93,f99,f49,f90,f50,f116,f117,f127,f124,f129,f132,f126,f133,f123,f137,f134,f140,f142,f120,f144,f148,f143,f149,f151,f145,f156,f158,f159,f152,f161,f162,f163,f166,f170,f174,f169,f176,f180,f160,f182,f179,f188,f190,f186,f191,f193,f194,f212,f201,f203,f205,f206,f208,f209,f213,f211,f214,f197,f199,f196,f257,f226,f55,f282,f284,f286,f335,f336,f338,f297,f347,f351,f355,f356,f359,f364,f365,f366,f369,f370,f368,f374,f384,f377,f382,f383,f390,f398,f395,f396,f21,f20,f18,f17,f12,f11,f6,f5,f24,f23,f15,f14,f280,f281,f834,f827,f862,f876,f864,f582,f861,f9,f7,f4,f22,f16,f19,f10,f13,f645]) ).

fof(f1331,plain,
    ( identity = inverse(sk_c3)
    | sk_c8 = inverse(sk_c5)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f23,f650]) ).

fof(f1330,plain,
    ( spl0_1
    | spl0_7
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1329]) ).

fof(f1329,plain,
    ( $false
    | spl0_1
    | spl0_7
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f1328,f1,f2,f8,f29,f37,f38,f39,f40,f41,f42,f43,f44,f3,f51,f53,f26,f59,f79,f82,f60,f83,f87,f88,f86,f89,f94,f92,f96,f93,f99,f49,f90,f50,f116,f117,f127,f124,f129,f132,f126,f133,f123,f137,f134,f140,f142,f120,f144,f148,f143,f149,f151,f145,f156,f158,f159,f152,f161,f162,f163,f166,f170,f174,f169,f176,f180,f160,f182,f179,f188,f190,f186,f191,f193,f194,f212,f201,f203,f205,f206,f208,f209,f213,f211,f214,f197,f199,f196,f257,f226,f55,f282,f284,f286,f335,f336,f338,f297,f347,f351,f355,f356,f359,f364,f365,f366,f369,f370,f368,f374,f384,f377,f382,f383,f390,f398,f395,f396,f21,f20,f18,f17,f12,f11,f6,f5,f24,f23,f15,f14,f280,f281,f834,f827,f862,f876,f864,f582,f861,f9,f7,f4,f22,f16,f19,f10,f13,f645]) ).

fof(f1328,plain,
    ( identity = multiply(sk_c1,sk_c8)
    | sk_c8 = inverse(sk_c5)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f5,f650]) ).

fof(f1327,plain,
    ( spl0_1
    | ~ spl0_4
    | spl0_7
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1326]) ).

fof(f1326,plain,
    ( $false
    | spl0_1
    | ~ spl0_4
    | spl0_7
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f1325,f1,f2,f8,f29,f37,f38,f39,f40,f41,f42,f43,f44,f3,f51,f53,f26,f59,f79,f82,f60,f83,f87,f88,f86,f89,f94,f92,f96,f93,f99,f49,f90,f50,f116,f117,f127,f124,f129,f132,f126,f133,f123,f137,f134,f140,f142,f120,f144,f148,f143,f149,f151,f145,f156,f158,f159,f152,f161,f162,f163,f166,f170,f174,f169,f176,f180,f160,f182,f179,f188,f190,f186,f191,f193,f194,f212,f201,f203,f205,f206,f208,f209,f213,f211,f214,f197,f199,f196,f257,f226,f55,f282,f284,f286,f335,f336,f338,f297,f347,f351,f355,f356,f359,f364,f365,f366,f369,f370,f368,f374,f384,f377,f382,f383,f390,f398,f395,f396,f21,f20,f18,f17,f12,f11,f6,f5,f24,f23,f15,f14,f280,f281,f834,f827,f862,f876,f864,f582,f861,f9,f7,f4,f22,f16,f19,f10,f13,f645]) ).

fof(f1325,plain,
    ( identity = multiply(sk_c2,identity)
    | sk_c8 = inverse(sk_c5)
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1324,f650]) ).

fof(f1324,plain,
    ( sk_c7 = multiply(sk_c2,identity)
    | sk_c8 = inverse(sk_c5)
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f11,f715]) ).

fof(f1323,plain,
    ( spl0_1
    | ~ spl0_4
    | spl0_7
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1322]) ).

fof(f1322,plain,
    ( $false
    | spl0_1
    | ~ spl0_4
    | spl0_7
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f1321,f1,f2,f8,f29,f37,f38,f39,f40,f41,f42,f43,f44,f3,f51,f53,f26,f59,f79,f82,f60,f83,f87,f88,f86,f89,f94,f92,f96,f93,f99,f49,f90,f50,f116,f117,f127,f124,f129,f132,f126,f133,f123,f137,f134,f140,f142,f120,f144,f148,f143,f149,f151,f145,f156,f158,f159,f152,f161,f162,f163,f166,f170,f174,f169,f176,f180,f160,f182,f179,f188,f190,f186,f191,f193,f194,f212,f201,f203,f205,f206,f208,f209,f213,f211,f214,f197,f199,f196,f257,f226,f55,f282,f284,f286,f335,f336,f338,f297,f347,f351,f355,f356,f359,f364,f365,f366,f369,f370,f368,f374,f384,f377,f382,f383,f390,f398,f395,f396,f21,f20,f18,f17,f12,f11,f6,f5,f24,f23,f15,f14,f280,f281,f834,f827,f862,f876,f864,f582,f861,f9,f7,f4,f22,f16,f19,f10,f13,f645]) ).

fof(f1321,plain,
    ( identity = multiply(identity,sk_c4)
    | sk_c8 = inverse(sk_c5)
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1320,f715]) ).

fof(f1320,plain,
    ( sk_c6 = multiply(identity,sk_c4)
    | sk_c8 = inverse(sk_c5)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f17,f650]) ).

fof(f1319,plain,
    ( spl0_1
    | spl0_7
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1318]) ).

fof(f1318,plain,
    ( $false
    | spl0_1
    | spl0_7
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f1317,f1,f2,f8,f29,f37,f38,f39,f40,f41,f42,f43,f44,f3,f51,f53,f26,f59,f79,f82,f60,f83,f87,f88,f86,f89,f94,f92,f96,f93,f99,f49,f90,f50,f116,f117,f127,f124,f129,f132,f126,f133,f123,f137,f134,f140,f142,f120,f144,f148,f143,f149,f151,f145,f156,f158,f159,f152,f161,f162,f163,f166,f170,f174,f169,f176,f180,f160,f182,f179,f188,f190,f186,f191,f193,f194,f212,f201,f203,f205,f206,f208,f209,f213,f211,f214,f197,f199,f196,f257,f226,f55,f282,f284,f286,f335,f336,f338,f297,f347,f351,f355,f356,f359,f364,f365,f366,f369,f370,f368,f374,f384,f377,f382,f383,f390,f398,f395,f396,f21,f20,f18,f17,f12,f11,f6,f5,f24,f23,f15,f14,f280,f281,f834,f827,f862,f876,f864,f582,f861,f9,f7,f4,f22,f16,f19,f10,f13,f645]) ).

fof(f1317,plain,
    ( sk_c4 = multiply(sk_c3,identity)
    | sk_c8 = inverse(sk_c5)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f20,f650]) ).

fof(f1310,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1309]) ).

fof(f1309,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f1308,f30]) ).

fof(f30,plain,
    ( sk_c8 = inverse(sk_c5)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f28]) ).

fof(f1308,plain,
    ( sk_c8 != inverse(sk_c5)
    | spl0_2
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f1296,f650]) ).

fof(f1296,plain,
    ( identity != sk_c7
    | sk_c8 != inverse(sk_c5)
    | spl0_2
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(superposition,[],[f1261,f1172]) ).

fof(f1172,plain,
    ( sk_c7 = multiply(sk_c5,sk_c8)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f8,f3,f26,f55,f284,f297,f10,f21,f20,f18,f17,f13,f12,f11,f6,f5,f24,f23,f15,f14,f280,f281,f834,f827,f862,f876,f864,f582,f861,f19,f16,f9,f7,f22,f33,f4]) ).

fof(f33,plain,
    ( sk_c8 != inverse(sk_c1)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f32]) ).

fof(f1307,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1306]) ).

fof(f1306,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f1305,f30]) ).

fof(f1305,plain,
    ( sk_c8 != inverse(sk_c5)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(trivial_inequality_removal,[],[f1295]) ).

fof(f1295,plain,
    ( identity != identity
    | sk_c8 != inverse(sk_c5)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(superposition,[],[f1261,f1265]) ).

fof(f1265,plain,
    ( identity = multiply(sk_c5,sk_c8)
    | ~ spl0_1 ),
    inference(superposition,[],[f1212,f2]) ).

fof(f1212,plain,
    ( ! [X0] : multiply(inverse(sk_c8),X0) = multiply(sk_c5,X0)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1211,f1]) ).

fof(f1211,plain,
    ( ! [X0] : multiply(inverse(sk_c8),multiply(identity,X0)) = multiply(sk_c5,X0)
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f558]) ).

fof(f558,plain,
    ( sk_c5 = multiply(inverse(sk_c8),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f55,f555]) ).

fof(f555,plain,
    ( identity = multiply(sk_c8,sk_c5)
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f30]) ).

fof(f1260,plain,
    ( ~ spl0_4
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1259]) ).

fof(f1259,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f1258,f861]) ).

fof(f1258,plain,
    ( identity != inverse(identity)
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1257,f861]) ).

fof(f1257,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1256,f861]) ).

fof(f1256,plain,
    ( identity != inverse(inverse(inverse(identity)))
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1242,f861]) ).

fof(f1242,plain,
    ( identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(trivial_inequality_removal,[],[f1240]) ).

fof(f1240,plain,
    ( identity != identity
    | identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f1209,f827]) ).

fof(f1209,plain,
    ( ! [X4] :
        ( identity != multiply(X4,identity)
        | identity != inverse(X4) )
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1208,f650]) ).

fof(f1208,plain,
    ( ! [X4] :
        ( sk_c7 != multiply(X4,identity)
        | identity != inverse(X4) )
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1207,f715]) ).

fof(f1207,plain,
    ( ! [X4] :
        ( identity != inverse(X4)
        | sk_c7 != multiply(X4,sk_c6) )
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f77,f715]) ).

fof(f77,plain,
    ( ! [X4] :
        ( sk_c6 != inverse(X4)
        | sk_c7 != multiply(X4,sk_c6) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f76]) ).

fof(f76,plain,
    ( spl0_6
  <=> ! [X4] :
        ( sk_c6 != inverse(X4)
        | sk_c7 != multiply(X4,sk_c6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f1255,plain,
    ( ~ spl0_4
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1254]) ).

fof(f1254,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f1253,f861]) ).

fof(f1253,plain,
    ( identity != inverse(identity)
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1243,f861]) ).

fof(f1243,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(trivial_inequality_removal,[],[f1239]) ).

fof(f1239,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f1209,f280]) ).

fof(f1252,plain,
    ( ~ spl0_4
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1251]) ).

fof(f1251,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f1250,f861]) ).

fof(f1250,plain,
    ( identity != inverse(identity)
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1244,f861]) ).

fof(f1244,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(trivial_inequality_removal,[],[f1238]) ).

fof(f1238,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f1209,f2]) ).

fof(f1249,plain,
    ( ~ spl0_4
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1248]) ).

fof(f1248,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f1245,f861]) ).

fof(f1245,plain,
    ( identity != inverse(identity)
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(trivial_inequality_removal,[],[f1237]) ).

fof(f1237,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f1209,f1]) ).

fof(f1192,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1191]) ).

fof(f1191,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_8 ),
    inference(subsumption_resolution,[],[f1190,f649]) ).

fof(f1190,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | spl0_2 ),
    inference(forward_demodulation,[],[f1188,f2]) ).

fof(f1188,plain,
    ( sk_c7 = multiply(inverse(sk_c8),sk_c8)
    | ~ spl0_1
    | spl0_2 ),
    inference(superposition,[],[f55,f1187]) ).

fof(f1187,plain,
    ( sk_c8 = multiply(sk_c8,sk_c7)
    | ~ spl0_1
    | spl0_2 ),
    inference(forward_demodulation,[],[f1185,f30]) ).

fof(f1185,plain,
    ( sk_c8 = multiply(inverse(sk_c5),sk_c7)
    | spl0_2 ),
    inference(superposition,[],[f55,f1172]) ).

fof(f1171,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1170]) ).

fof(f1170,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | spl0_8 ),
    inference(subsumption_resolution,[],[f1169,f649]) ).

fof(f1169,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f1167,f2]) ).

fof(f1167,plain,
    ( sk_c7 = multiply(inverse(sk_c8),sk_c8)
    | ~ spl0_1
    | ~ spl0_7
    | spl0_8 ),
    inference(superposition,[],[f55,f1155]) ).

fof(f1155,plain,
    ( sk_c8 = multiply(sk_c8,sk_c7)
    | ~ spl0_1
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f1153,f30]) ).

fof(f1153,plain,
    ( sk_c8 = multiply(inverse(sk_c5),sk_c7)
    | ~ spl0_7
    | spl0_8 ),
    inference(superposition,[],[f55,f1110]) ).

fof(f1110,plain,
    ( sk_c7 = multiply(sk_c5,sk_c8)
    | ~ spl0_7
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f8,f3,f26,f55,f284,f297,f19,f16,f10,f21,f20,f18,f17,f13,f12,f11,f6,f5,f24,f23,f15,f14,f280,f649,f646,f653,f281,f834,f827,f862,f876,f864,f860,f582,f820,f660,f861,f655,f652,f997,f994,f1002,f996,f1019,f1020,f1022,f1023,f1016,f1028,f1029,f1017,f1025,f1018,f1000,f1041,f1042,f1044,f1040,f4,f22,f7,f9,f1098,f1100,f1103,f1104,f1105,f1107,f1109]) ).

fof(f1109,plain,
    ( identity = sk_c7
    | sk_c7 = multiply(sk_c5,sk_c8)
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f10,f1016]) ).

fof(f1107,plain,
    ( sk_c7 = sk_c2
    | sk_c7 = inverse(sk_c3)
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f24,f1040]) ).

fof(f1105,plain,
    ( sk_c7 = sk_c2
    | multiply(sk_c1,sk_c8) = sk_c7
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f6,f1040]) ).

fof(f1114,plain,
    ( spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f1113]) ).

fof(f1113,plain,
    ( $false
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f1,f2,f8,f3,f26,f55,f284,f297,f10,f21,f20,f18,f17,f13,f12,f11,f6,f5,f24,f23,f15,f14,f280,f281,f834,f827,f862,f876,f864,f582,f861,f4,f1094,f22,f1095,f7,f1096,f9,f1097,f71,f19,f16,f33]) ).

fof(f71,plain,
    ( sk_c7 != inverse(sk_c6)
    | spl0_4 ),
    inference(avatar_component_clause,[],[f69]) ).

fof(f1097,plain,
    ( sk_c8 = inverse(sk_c1)
    | spl0_4 ),
    inference(global_subsumption,[],[f1,f2,f8,f3,f26,f71,f55,f284,f297,f19,f16,f10,f21,f20,f18,f17,f13,f12,f11,f6,f5,f24,f23,f15,f14,f280,f281,f834,f827,f862,f876,f864,f582,f861,f4,f1094,f22,f1095,f7,f1096,f9]) ).

fof(f1096,plain,
    ( sk_c8 = inverse(sk_c1)
    | spl0_4 ),
    inference(global_subsumption,[],[f9,f1,f2,f8,f3,f26,f71,f55,f284,f297,f19,f16,f10,f21,f20,f18,f17,f13,f12,f11,f6,f5,f24,f23,f15,f14,f280,f281,f834,f827,f862,f876,f864,f582,f861,f4,f1094,f22,f1095,f7]) ).

fof(f1095,plain,
    ( sk_c7 = inverse(sk_c3)
    | spl0_4 ),
    inference(global_subsumption,[],[f9,f7,f1,f2,f8,f3,f26,f71,f55,f284,f297,f19,f16,f10,f21,f20,f18,f17,f13,f12,f11,f6,f5,f24,f23,f15,f14,f280,f281,f834,f827,f862,f876,f864,f582,f861,f4,f1094,f22]) ).

fof(f1094,plain,
    ( multiply(sk_c1,sk_c8) = sk_c7
    | spl0_4 ),
    inference(global_subsumption,[],[f9,f7,f1,f2,f8,f3,f26,f71,f55,f284,f297,f19,f16,f10,f22,f21,f20,f18,f17,f13,f12,f11,f6,f5,f24,f23,f15,f14,f280,f281,f834,f827,f862,f876,f864,f582,f861,f4]) ).

fof(f1093,plain,
    ( spl0_4
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1092]) ).

fof(f1092,plain,
    ( $false
    | spl0_4
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f1091,f1048]) ).

fof(f1048,plain,
    ( identity != sk_c2
    | spl0_4
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(superposition,[],[f987,f1040]) ).

fof(f987,plain,
    ( identity != inverse(sk_c6)
    | spl0_4
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f71,f650]) ).

fof(f1091,plain,
    ( identity = sk_c2
    | spl0_4
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1078,f861]) ).

fof(f1078,plain,
    ( sk_c2 = inverse(identity)
    | spl0_4
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(superposition,[],[f1040,f1065]) ).

fof(f1065,plain,
    ( identity = sk_c6
    | spl0_4
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1064,f1]) ).

fof(f1064,plain,
    ( sk_c6 = multiply(identity,identity)
    | spl0_4
    | ~ spl0_8 ),
    inference(superposition,[],[f1055,f1063]) ).

fof(f1063,plain,
    ( identity = sk_c4
    | spl0_4
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1062,f1]) ).

fof(f1062,plain,
    ( sk_c4 = multiply(identity,identity)
    | spl0_4
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1061,f1010]) ).

fof(f1010,plain,
    ( identity = sk_c3
    | spl0_4
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1005,f2]) ).

fof(f1005,plain,
    ( sk_c3 = multiply(inverse(identity),identity)
    | spl0_4
    | ~ spl0_8 ),
    inference(superposition,[],[f281,f1003]) ).

fof(f1003,plain,
    ( identity = inverse(sk_c3)
    | spl0_4
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f978,f987]) ).

fof(f978,plain,
    ( identity = inverse(sk_c6)
    | identity = inverse(sk_c3)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f977,f650]) ).

fof(f977,plain,
    ( identity = inverse(sk_c3)
    | sk_c7 = inverse(sk_c6)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f24,f650]) ).

fof(f1061,plain,
    ( sk_c4 = multiply(sk_c3,identity)
    | spl0_4
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f986,f987]) ).

fof(f986,plain,
    ( sk_c4 = multiply(sk_c3,identity)
    | identity = inverse(sk_c6)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f985,f650]) ).

fof(f985,plain,
    ( identity = inverse(sk_c6)
    | sk_c4 = multiply(sk_c3,sk_c7)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f21,f650]) ).

fof(f1055,plain,
    ( sk_c6 = multiply(identity,sk_c4)
    | spl0_4
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f984,f987]) ).

fof(f984,plain,
    ( sk_c6 = multiply(identity,sk_c4)
    | identity = inverse(sk_c6)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f983,f650]) ).

fof(f983,plain,
    ( identity = inverse(sk_c6)
    | sk_c6 = multiply(sk_c7,sk_c4)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f18,f650]) ).

fof(f1089,plain,
    ( spl0_4
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1088]) ).

fof(f1088,plain,
    ( $false
    | spl0_4
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f1087,f1048]) ).

fof(f1087,plain,
    ( identity = sk_c2
    | spl0_4
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1074,f827]) ).

fof(f1074,plain,
    ( sk_c2 = multiply(inverse(inverse(inverse(identity))),identity)
    | spl0_4
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(superposition,[],[f1000,f1065]) ).

fof(f1083,plain,
    ( spl0_4
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1082]) ).

fof(f1082,plain,
    ( $false
    | spl0_4
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f1071,f861]) ).

fof(f1071,plain,
    ( identity != inverse(identity)
    | spl0_4
    | ~ spl0_8 ),
    inference(superposition,[],[f987,f1065]) ).

fof(f1081,plain,
    ( spl0_4
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1080]) ).

fof(f1080,plain,
    ( $false
    | spl0_4
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f1079,f1048]) ).

fof(f1079,plain,
    ( identity = sk_c2
    | spl0_4
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1070,f2]) ).

fof(f1070,plain,
    ( sk_c2 = multiply(inverse(identity),identity)
    | spl0_4
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(superposition,[],[f655,f1065]) ).

fof(f971,plain,
    ( ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f970]) ).

fof(f970,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f969,f726]) ).

fof(f726,plain,
    ( identity = inverse(identity)
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f718,f650]) ).

fof(f718,plain,
    ( sk_c7 = inverse(identity)
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(superposition,[],[f70,f715]) ).

fof(f969,plain,
    ( identity != inverse(identity)
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f968,f715]) ).

fof(f968,plain,
    ( identity != inverse(sk_c6)
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f967,f662]) ).

fof(f662,plain,
    ( sk_c6 = inverse(sk_c7)
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(superposition,[],[f646,f659]) ).

fof(f967,plain,
    ( identity != inverse(inverse(sk_c7))
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f966,f715]) ).

fof(f966,plain,
    ( identity != sk_c6
    | identity != inverse(inverse(sk_c7))
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f965,f1]) ).

fof(f965,plain,
    ( identity != multiply(identity,sk_c6)
    | identity != inverse(inverse(sk_c7))
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f893,f612]) ).

fof(f612,plain,
    ( sk_c6 = multiply(sk_c6,identity)
    | ~ spl0_4 ),
    inference(superposition,[],[f569,f564]) ).

fof(f893,plain,
    ( identity != multiply(identity,multiply(sk_c6,identity))
    | identity != inverse(inverse(sk_c7))
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(superposition,[],[f853,f569]) ).

fof(f853,plain,
    ( ! [X6] :
        ( identity != multiply(identity,multiply(X6,identity))
        | identity != inverse(X6) )
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f852,f715]) ).

fof(f852,plain,
    ( ! [X6] :
        ( sk_c6 != multiply(identity,multiply(X6,identity))
        | identity != inverse(X6) )
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f851,f650]) ).

fof(f851,plain,
    ( ! [X6] :
        ( identity != inverse(X6)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7)) )
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f67,f650]) ).

fof(f67,plain,
    ( ! [X6] :
        ( sk_c7 != inverse(X6)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7)) )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f66]) ).

fof(f66,plain,
    ( spl0_3
  <=> ! [X6] :
        ( sk_c7 != inverse(X6)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f960,plain,
    ( ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f959]) ).

fof(f959,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f958,f726]) ).

fof(f958,plain,
    ( identity != inverse(identity)
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f957,f726]) ).

fof(f957,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f956,f726]) ).

fof(f956,plain,
    ( identity != inverse(inverse(inverse(identity)))
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f955,f726]) ).

fof(f955,plain,
    ( identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f891,f1]) ).

fof(f891,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(superposition,[],[f853,f827]) ).

fof(f949,plain,
    ( ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f948]) ).

fof(f948,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f947,f726]) ).

fof(f947,plain,
    ( identity != inverse(identity)
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f946,f726]) ).

fof(f946,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f889,f1]) ).

fof(f889,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(inverse(identity))
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(superposition,[],[f853,f280]) ).

fof(f945,plain,
    ( ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f944]) ).

fof(f944,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f943,f726]) ).

fof(f943,plain,
    ( identity != inverse(identity)
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f942,f726]) ).

fof(f942,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f888,f1]) ).

fof(f888,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(inverse(identity))
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(superposition,[],[f853,f2]) ).

fof(f941,plain,
    ( ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f940]) ).

fof(f940,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f939,f726]) ).

fof(f939,plain,
    ( identity != inverse(identity)
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f887,f1]) ).

fof(f887,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(identity)
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(superposition,[],[f853,f1]) ).

fof(f938,plain,
    ( ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f937]) ).

fof(f937,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f936,f726]) ).

fof(f936,plain,
    ( identity != inverse(identity)
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f935,f715]) ).

fof(f935,plain,
    ( identity != inverse(sk_c6)
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f934,f1]) ).

fof(f934,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(sk_c6)
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f886,f715]) ).

fof(f886,plain,
    ( identity != multiply(identity,sk_c6)
    | identity != inverse(sk_c6)
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(superposition,[],[f853,f612]) ).

fof(f933,plain,
    ( ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f932]) ).

fof(f932,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f931,f726]) ).

fof(f931,plain,
    ( identity != inverse(identity)
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f930,f650]) ).

fof(f930,plain,
    ( identity != inverse(sk_c7)
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f929,f1]) ).

fof(f929,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(sk_c7)
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f885,f650]) ).

fof(f885,plain,
    ( identity != multiply(identity,sk_c7)
    | identity != inverse(sk_c7)
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(superposition,[],[f853,f620]) ).

fof(f918,plain,
    ( ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f917]) ).

fof(f917,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f916,f726]) ).

fof(f916,plain,
    ( identity != inverse(identity)
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f915,f715]) ).

fof(f915,plain,
    ( identity != inverse(sk_c6)
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f914,f662]) ).

fof(f914,plain,
    ( identity != inverse(inverse(sk_c7))
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f913,f70]) ).

fof(f913,plain,
    ( identity != inverse(inverse(inverse(sk_c6)))
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f912,f662]) ).

fof(f912,plain,
    ( identity != inverse(inverse(inverse(inverse(sk_c7))))
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f911,f715]) ).

fof(f911,plain,
    ( identity != sk_c6
    | identity != inverse(inverse(inverse(inverse(sk_c7))))
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f880,f1]) ).

fof(f880,plain,
    ( identity != multiply(identity,sk_c6)
    | identity != inverse(inverse(inverse(inverse(sk_c7))))
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(superposition,[],[f853,f578]) ).

fof(f905,plain,
    ( ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f904]) ).

fof(f904,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f903,f726]) ).

fof(f903,plain,
    ( identity != inverse(identity)
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f902,f715]) ).

fof(f902,plain,
    ( identity != inverse(sk_c6)
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f901,f662]) ).

fof(f901,plain,
    ( identity != inverse(inverse(sk_c7))
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f900,f715]) ).

fof(f900,plain,
    ( identity != sk_c6
    | identity != inverse(inverse(sk_c7))
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f878,f1]) ).

fof(f878,plain,
    ( identity != multiply(identity,sk_c6)
    | identity != inverse(inverse(sk_c7))
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(superposition,[],[f853,f564]) ).

fof(f703,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f702]) ).

fof(f702,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_8 ),
    inference(subsumption_resolution,[],[f701,f649]) ).

fof(f701,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f700,f585]) ).

fof(f700,plain,
    ( multiply(sk_c1,sk_c8) = sk_c7
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(duplicate_literal_removal,[],[f699]) ).

fof(f699,plain,
    ( multiply(sk_c1,sk_c8) = sk_c7
    | multiply(sk_c1,sk_c8) = sk_c7
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f4,f560]) ).

fof(f560,plain,
    ( sk_c1 = sk_c5
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f558,f300]) ).

fof(f651,plain,
    ( spl0_7
    | spl0_8
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f642,f32,f28,f648,f644]) ).

fof(f642,plain,
    ( identity = sk_c7
    | sk_c6 = inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f641,f585]) ).

fof(f641,plain,
    ( multiply(sk_c1,sk_c8) = sk_c7
    | sk_c6 = inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f13,f560]) ).

fof(f547,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f546]) ).

fof(f546,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f545,f450]) ).

fof(f450,plain,
    ( identity = inverse(identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f402,f354]) ).

fof(f545,plain,
    ( identity != inverse(identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f544,f196]) ).

fof(f544,plain,
    ( identity != inverse(sk_c2)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f504,f1]) ).

fof(f504,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(sk_c2)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f477,f160]) ).

fof(f477,plain,
    ( ! [X6] :
        ( identity != multiply(identity,multiply(X6,identity))
        | identity != inverse(X6) )
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f476,f354]) ).

fof(f476,plain,
    ( ! [X6] :
        ( identity != multiply(identity,multiply(X6,identity))
        | sk_c7 != inverse(X6) )
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f403,f354]) ).

fof(f403,plain,
    ( ! [X6] :
        ( sk_c7 != multiply(sk_c7,multiply(X6,sk_c7))
        | sk_c7 != inverse(X6) )
    | spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f67,f86]) ).

fof(f543,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f542]) ).

fof(f542,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f541,f450]) ).

fof(f541,plain,
    ( identity != inverse(identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f540,f354]) ).

fof(f540,plain,
    ( identity != inverse(sk_c7)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f503,f1]) ).

fof(f503,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(sk_c7)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f477,f186]) ).

fof(f539,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f538]) ).

fof(f538,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f537,f450]) ).

fof(f537,plain,
    ( identity != inverse(identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f536,f354]) ).

fof(f536,plain,
    ( identity != inverse(sk_c7)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f535,f226]) ).

fof(f535,plain,
    ( identity != inverse(inverse(identity))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f502,f1]) ).

fof(f502,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(inverse(identity))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f477,f2]) ).

fof(f534,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f533]) ).

fof(f533,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f532,f450]) ).

fof(f532,plain,
    ( identity != inverse(identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f501,f1]) ).

fof(f501,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f477,f1]) ).

fof(f531,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f530]) ).

fof(f530,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f529,f450]) ).

fof(f529,plain,
    ( identity != inverse(identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f528,f199]) ).

fof(f528,plain,
    ( identity != inverse(sk_c3)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f527,f1]) ).

fof(f527,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(sk_c3)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f526,f179]) ).

fof(f526,plain,
    ( identity != multiply(identity,multiply(sk_c7,identity))
    | identity != inverse(sk_c3)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f525,f197]) ).

fof(f525,plain,
    ( identity != multiply(identity,multiply(sk_c4,identity))
    | identity != inverse(sk_c3)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f524,f196]) ).

fof(f524,plain,
    ( identity != multiply(identity,multiply(sk_c4,sk_c2))
    | identity != inverse(sk_c3)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f500,f143]) ).

fof(f500,plain,
    ( identity != multiply(identity,multiply(sk_c4,sk_c3))
    | identity != inverse(sk_c3)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f477,f123]) ).

fof(f523,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f522]) ).

fof(f522,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f521,f450]) ).

fof(f521,plain,
    ( identity != inverse(identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f520,f199]) ).

fof(f520,plain,
    ( identity != inverse(sk_c3)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f519,f1]) ).

fof(f519,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(sk_c3)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f518,f179]) ).

fof(f518,plain,
    ( identity != multiply(identity,multiply(sk_c7,identity))
    | identity != inverse(sk_c3)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f517,f197]) ).

fof(f517,plain,
    ( identity != multiply(identity,multiply(sk_c4,identity))
    | identity != inverse(sk_c3)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f499,f196]) ).

fof(f499,plain,
    ( identity != multiply(identity,multiply(sk_c4,sk_c2))
    | identity != inverse(sk_c3)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f477,f120]) ).

fof(f516,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f515]) ).

fof(f515,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f514,f450]) ).

fof(f514,plain,
    ( identity != inverse(identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f513,f196]) ).

fof(f513,plain,
    ( identity != inverse(sk_c2)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f498,f1]) ).

fof(f498,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(sk_c2)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f477,f169]) ).

fof(f512,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f511]) ).

fof(f511,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f510,f450]) ).

fof(f510,plain,
    ( identity != inverse(identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f509,f354]) ).

fof(f509,plain,
    ( identity != inverse(sk_c7)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f497,f1]) ).

fof(f497,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(sk_c7)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f477,f179]) ).

fof(f401,plain,
    ( spl0_1
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f400]) ).

fof(f400,plain,
    ( $false
    | spl0_1
    | spl0_4 ),
    inference(subsumption_resolution,[],[f394,f226]) ).

fof(f394,plain,
    ( sk_c7 != inverse(identity)
    | spl0_1
    | spl0_4 ),
    inference(superposition,[],[f71,f383]) ).

fof(f78,plain,
    ( spl0_3
    | ~ spl0_4
    | spl0_5
    | spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f26,f76,f73,f73,f69,f66]) ).

fof(f35,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f8,f32,f28]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : GRP267-1 : TPTP v8.1.2. Released v2.5.0.
% 0.10/0.11  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.31  % Computer : n012.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Fri May  3 20:49:23 EDT 2024
% 0.10/0.31  % CPUTime    : 
% 0.10/0.31  % (25981)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.33  % (25984)WARNING: value z3 for option sas not known
% 0.16/0.33  % (25983)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.33  % (25985)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.33  % (25986)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)
% 0.16/0.33  % (25988)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)
% 0.16/0.33  % (25982)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.33  % (25987)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)
% 0.16/0.33  % (25984)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)
% 0.16/0.33  TRYING [1]
% 0.16/0.33  TRYING [2]
% 0.16/0.33  TRYING [3]
% 0.16/0.33  TRYING [1]
% 0.16/0.33  TRYING [2]
% 0.16/0.34  TRYING [3]
% 0.16/0.34  TRYING [4]
% 0.16/0.35  TRYING [5]
% 0.16/0.35  TRYING [4]
% 0.16/0.37  % (25984)First to succeed.
% 0.16/0.38  % (25984)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-25981"
% 0.16/0.38  % (25984)Refutation found. Thanks to Tanya!
% 0.16/0.38  % SZS status Unsatisfiable for theBenchmark
% 0.16/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.39  % (25984)------------------------------
% 0.16/0.39  % (25984)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.39  % (25984)Termination reason: Refutation
% 0.16/0.39  
% 0.16/0.39  % (25984)Memory used [KB]: 1462
% 0.16/0.39  % (25984)Time elapsed: 0.056 s
% 0.16/0.39  % (25984)Instructions burned: 111 (million)
% 0.16/0.39  % (25981)Success in time 0.075 s
%------------------------------------------------------------------------------