%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GRP227-1 : 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 : n018.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 05:55:19 EDT 2024

% Result   : Unsatisfiable 0.22s 0.53s
% Output   : Refutation 1.26s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
fof(f4596,plain,
    $false,
    inference(avatar_sat_refutation,[],[f45,f304,f380,f1579,f1747,f2319,f2523,f2602,f3217,f3270,f3353,f3365,f3369,f3371,f3450,f3452,f3454,f3456,f3463,f3521,f3523,f3525,f3527,f3534,f3565,f3567,f3570,f3573,f3575,f3577,f3579,f3581,f3583,f3585,f3587,f3589,f3591,f3593,f3595,f3598,f3600,f3603,f3607,f3609,f3611,f3614,f3616,f3618,f3621,f3623,f3690,f3784,f3786,f3788,f3790,f3793,f3796,f3800,f3803,f3805,f3807,f3810,f3874,f3878,f3880,f3932,f3938,f3943,f3947,f3952,f3954,f3956,f3958,f3967,f3974,f3980,f4191,f4206,f4338,f4506,f4508,f4510,f4512,f4514,f4516,f4518,f4520,f4522,f4524,f4526,f4528,f4530,f4532,f4534,f4536,f4538,f4540,f4542,f4544,f4546,f4548,f4550,f4552,f4554,f4556,f4558,f4560,f4562,f4564,f4566,f4568,f4570,f4572,f4574,f4576,f4580,f4582,f4584,f4588,f4590,f4593,f4595]) ).

fof(f4595,plain,
    ( spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f4594]) ).

fof(f4594,plain,
    ( $false
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f1,f2,f4,f3,f60,f208,f36,f24,f22,f18,f16,f10,f28,f30,f204,f402,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f956,f1422,f2268,f2274,f2278,f2280,f32,f26,f27,f25,f23,f3997,f1644,f886,f874,f854,f1464,f1620,f1384,f1375,f1068,f1061,f1048,f1326,f1320,f1599,f1181,f1627,f1626,f1592,f1590,f1588,f1356,f1594,f1583,f1523,f1218,f1080,f1003,f1002,f992,f991,f1655,f1654,f768,f762,f686,f685,f675,f674,f634,f631,f20,f17,f21,f19,f14,f8,f7,f9,f13,f15,f33,f31,f4370,f4369,f4357,f4345,f4344,f4343,f43,f29,f11,f5,f6,f12,f378]) ).

fof(f378,plain,
    ( sk_c8 != inverse(sk_c4)
    | spl0_4 ),
    inference(avatar_component_clause,[],[f377]) ).

fof(f377,plain,
    ( spl0_4
  <=> sk_c8 = inverse(sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

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

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

fof(f5,axiom,
    ( inverse(sk_c1) = sk_c8
    | sk_c7 = multiply(sk_c4,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).

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

fof(f29,axiom,
    ( sk_c8 = inverse(sk_c2)
    | sk_c7 = multiply(sk_c4,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).

fof(f43,plain,
    ( inverse(sk_c1) != sk_c8
    | spl0_2 ),
    inference(avatar_component_clause,[],[f42]) ).

fof(f42,plain,
    ( spl0_2
  <=> inverse(sk_c1) = sk_c8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f4343,plain,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | spl0_2 ),
    inference(global_subsumption,[],[f6,f1,f2,f4,f3,f60,f208,f36,f24,f22,f18,f16,f12,f10,f28,f30,f204,f402,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f956,f1422,f2268,f2274,f2278,f2280,f32,f26,f29,f31,f33,f27,f25,f23,f3997,f1644,f886,f874,f854,f1464,f1620,f1384,f1375,f1068,f1061,f1048,f1326,f1320,f1599,f1181,f1627,f1626,f1592,f1590,f1588,f1356,f1594,f1583,f1523,f1218,f1080,f1003,f1002,f992,f991,f1655,f1654,f768,f762,f686,f685,f675,f674,f634,f631,f20,f11,f15,f17,f21,f19,f13,f14,f9,f5,f8,f43,f7]) ).

fof(f4344,plain,
    ( sk_c7 = multiply(sk_c6,sk_c8)
    | spl0_2 ),
    inference(global_subsumption,[],[f6,f1,f2,f4,f3,f60,f208,f36,f24,f22,f18,f16,f12,f10,f28,f30,f204,f402,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f956,f1422,f2268,f2274,f2278,f2280,f32,f26,f29,f31,f33,f27,f25,f23,f3997,f1644,f886,f874,f854,f1464,f1620,f1384,f1375,f1068,f1061,f1048,f1326,f1320,f1599,f1181,f1627,f1626,f1592,f1590,f1588,f1356,f1594,f1583,f1523,f1218,f1080,f1003,f1002,f992,f991,f1655,f1654,f768,f762,f686,f685,f675,f674,f634,f631,f20,f11,f15,f17,f21,f19,f13,f14,f5,f8,f43,f7,f4343,f9]) ).

fof(f4345,plain,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | spl0_2 ),
    inference(global_subsumption,[],[f6,f1,f2,f4,f3,f60,f208,f36,f24,f22,f18,f16,f12,f10,f28,f30,f204,f402,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f956,f1422,f2268,f2274,f2278,f2280,f32,f26,f29,f31,f33,f27,f25,f23,f3997,f1644,f886,f874,f854,f1464,f1620,f1384,f1375,f1068,f1061,f1048,f1326,f1320,f1599,f1181,f1627,f1626,f1592,f1590,f1588,f1356,f1594,f1583,f1523,f1218,f1080,f1003,f1002,f992,f991,f1655,f1654,f768,f762,f686,f685,f675,f674,f634,f631,f20,f11,f15,f17,f21,f19,f14,f5,f8,f43,f7,f4343,f9,f4344,f13]) ).

fof(f4357,plain,
    ( sk_c7 = multiply(sk_c6,sk_c8)
    | spl0_2 ),
    inference(global_subsumption,[],[f6,f1,f2,f4,f3,f60,f208,f36,f24,f22,f18,f16,f12,f10,f28,f30,f204,f402,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f956,f1422,f2268,f2274,f2278,f2280,f32,f26,f29,f31,f33,f27,f25,f23,f3997,f1644,f886,f874,f854,f1464,f1620,f1384,f1375,f1068,f1061,f1048,f1326,f1320,f1599,f1181,f1627,f1626,f1592,f1590,f1588,f1356,f1594,f1583,f1523,f1218,f1080,f1003,f1002,f992,f991,f1655,f1654,f768,f762,f686,f685,f675,f674,f634,f631,f20,f11,f17,f21,f19,f14,f5,f8,f43,f7,f4343,f9,f4344,f13,f4345,f15]) ).

fof(f4369,plain,
    ( sk_c7 = multiply(sk_c6,sk_c8)
    | spl0_2 ),
    inference(global_subsumption,[],[f6,f1,f2,f4,f3,f60,f208,f36,f24,f22,f18,f16,f12,f10,f28,f30,f204,f402,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f956,f1422,f2268,f2274,f2278,f2280,f32,f26,f29,f31,f27,f25,f23,f3997,f1644,f886,f874,f854,f1464,f1620,f1384,f1375,f1068,f1061,f1048,f1326,f1320,f1599,f1181,f1627,f1626,f1592,f1590,f1588,f1356,f1594,f1583,f1523,f1218,f1080,f1003,f1002,f992,f991,f1655,f1654,f768,f762,f686,f685,f675,f674,f634,f631,f20,f11,f17,f21,f19,f14,f5,f8,f43,f7,f4343,f9,f4344,f13,f4345,f15,f4357,f33]) ).

fof(f4370,plain,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | spl0_2 ),
    inference(global_subsumption,[],[f6,f1,f2,f4,f3,f60,f208,f36,f24,f22,f18,f16,f12,f10,f28,f30,f204,f402,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f956,f1422,f2268,f2274,f2278,f2280,f32,f26,f29,f27,f25,f23,f3997,f1644,f886,f874,f854,f1464,f1620,f1384,f1375,f1068,f1061,f1048,f1326,f1320,f1599,f1181,f1627,f1626,f1592,f1590,f1588,f1356,f1594,f1583,f1523,f1218,f1080,f1003,f1002,f992,f991,f1655,f1654,f768,f762,f686,f685,f675,f674,f634,f631,f20,f11,f17,f21,f19,f14,f5,f8,f43,f7,f4343,f9,f4344,f13,f4345,f15,f4357,f33,f4369,f31]) ).

fof(f31,axiom,
    ( sk_c8 = inverse(sk_c2)
    | sk_c7 = multiply(sk_c5,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).

fof(f33,axiom,
    ( sk_c8 = inverse(sk_c2)
    | sk_c7 = multiply(sk_c6,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).

fof(f15,axiom,
    ( sk_c7 = multiply(sk_c6,sk_c8)
    | sk_c8 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).

fof(f13,axiom,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | sk_c8 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).

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

fof(f7,axiom,
    ( inverse(sk_c1) = sk_c8
    | sk_c7 = multiply(sk_c5,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).

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

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

fof(f19,axiom,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | sk_c7 = multiply(sk_c8,sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).

fof(f21,axiom,
    ( sk_c7 = multiply(sk_c6,sk_c8)
    | sk_c7 = multiply(sk_c8,sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).

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

fof(f20,axiom,
    ( sk_c6 = inverse(sk_c5)
    | sk_c7 = multiply(sk_c8,sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).

fof(f631,plain,
    identity = inverse(identity),
    inference(superposition,[],[f583,f205]) ).

fof(f634,plain,
    identity = inverse(identity),
    inference(superposition,[],[f205,f583]) ).

fof(f674,plain,
    identity = inverse(identity),
    inference(superposition,[],[f654,f2]) ).

fof(f675,plain,
    identity = inverse(identity),
    inference(superposition,[],[f654,f204]) ).

fof(f685,plain,
    identity = inverse(identity),
    inference(superposition,[],[f2,f654]) ).

fof(f686,plain,
    identity = inverse(identity),
    inference(superposition,[],[f204,f654]) ).

fof(f762,plain,
    identity = inverse(identity),
    inference(superposition,[],[f652,f1]) ).

fof(f768,plain,
    identity = inverse(identity),
    inference(superposition,[],[f1,f652]) ).

fof(f1654,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f687,f672]) ).

fof(f687,plain,
    identity = inverse(inverse(inverse(identity))),
    inference(superposition,[],[f583,f654]) ).

fof(f1655,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f676,f672]) ).

fof(f676,plain,
    identity = inverse(inverse(inverse(identity))),
    inference(superposition,[],[f654,f583]) ).

fof(f991,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f894,f2]) ).

fof(f894,plain,
    ! [X0] : identity = inverse(multiply(inverse(X0),X0)),
    inference(superposition,[],[f767,f60]) ).

fof(f992,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f895,f652]) ).

fof(f895,plain,
    ! [X0] : identity = inverse(multiply(X0,inverse(X0))),
    inference(superposition,[],[f767,f655]) ).

fof(f1002,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f905,f2]) ).

fof(f905,plain,
    ! [X0] : identity = inverse(multiply(inverse(X0),X0)),
    inference(superposition,[],[f60,f767]) ).

fof(f1003,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f906,f652]) ).

fof(f906,plain,
    ! [X0] : identity = inverse(multiply(X0,inverse(X0))),
    inference(superposition,[],[f655,f767]) ).

fof(f1080,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f1027,f652]) ).

fof(f1027,plain,
    ! [X0] : inverse(identity) = multiply(X0,inverse(X0)),
    inference(superposition,[],[f1021,f1]) ).

fof(f1218,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f1175,f652]) ).

fof(f1175,plain,
    ! [X0] : inverse(identity) = multiply(X0,inverse(X0)),
    inference(superposition,[],[f1110,f204]) ).

fof(f1523,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f1475,f652]) ).

fof(f1475,plain,
    ! [X0] : inverse(identity) = multiply(inverse(X0),inverse(inverse(X0))),
    inference(superposition,[],[f1114,f205]) ).

fof(f1583,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f1472,f2]) ).

fof(f1472,plain,
    ! [X0] : multiply(inverse(X0),X0) = inverse(identity),
    inference(superposition,[],[f1114,f654]) ).

fof(f1594,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f1312,f2]) ).

fof(f1312,plain,
    ! [X0] : multiply(inverse(X0),X0) = inverse(identity),
    inference(superposition,[],[f1208,f204]) ).

fof(f1356,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(superposition,[],[f1025,f2]) ).

fof(f1588,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(forward_demodulation,[],[f1368,f672]) ).

fof(f1368,plain,
    ! [X0] : multiply(inverse(inverse(X0)),inverse(identity)) = X0,
    inference(superposition,[],[f1025,f652]) ).

fof(f1590,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(forward_demodulation,[],[f1589,f672]) ).

fof(f1589,plain,
    ! [X0] : multiply(inverse(inverse(X0)),inverse(identity)) = X0,
    inference(forward_demodulation,[],[f1367,f1021]) ).

fof(f1367,plain,
    ! [X0,X1] : multiply(multiply(X1,inverse(multiply(inverse(X0),X1))),inverse(identity)) = X0,
    inference(superposition,[],[f1025,f767]) ).

fof(f1592,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(forward_demodulation,[],[f1358,f672]) ).

fof(f1358,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,inverse(identity)),
    inference(superposition,[],[f1025,f583]) ).

fof(f1626,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(forward_demodulation,[],[f1625,f672]) ).

fof(f1625,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,inverse(identity)),
    inference(forward_demodulation,[],[f1030,f672]) ).

fof(f1030,plain,
    ! [X0] : inverse(inverse(inverse(inverse(X0)))) = multiply(X0,inverse(identity)),
    inference(superposition,[],[f1021,f583]) ).

fof(f1627,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(forward_demodulation,[],[f1028,f672]) ).

fof(f1028,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,inverse(identity)),
    inference(superposition,[],[f1021,f2]) ).

fof(f1181,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(superposition,[],[f1110,f654]) ).

fof(f1599,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(forward_demodulation,[],[f1184,f672]) ).

fof(f1184,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,inverse(identity)),
    inference(superposition,[],[f1110,f205]) ).

fof(f1320,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(superposition,[],[f1208,f654]) ).

fof(f1326,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(superposition,[],[f654,f1208]) ).

fof(f1048,plain,
    ! [X0] : inverse(X0) = multiply(inverse(X0),inverse(identity)),
    inference(superposition,[],[f1021,f652]) ).

fof(f1061,plain,
    ! [X0] : inverse(X0) = inverse(multiply(X0,inverse(identity))),
    inference(superposition,[],[f1021,f204]) ).

fof(f1068,plain,
    ! [X0] : inverse(X0) = inverse(multiply(X0,inverse(identity))),
    inference(superposition,[],[f204,f1021]) ).

fof(f1375,plain,
    ! [X0] : inverse(multiply(inverse(X0),inverse(identity))) = X0,
    inference(superposition,[],[f1025,f204]) ).

fof(f1384,plain,
    ! [X0] : inverse(multiply(inverse(X0),inverse(identity))) = X0,
    inference(superposition,[],[f204,f1025]) ).

fof(f1620,plain,
    ! [X0] : inverse(X0) = multiply(inverse(X0),inverse(identity)),
    inference(forward_demodulation,[],[f1047,f1021]) ).

fof(f1047,plain,
    ! [X0,X1] : inverse(X0) = multiply(multiply(X1,inverse(multiply(X0,X1))),inverse(identity)),
    inference(superposition,[],[f1021,f767]) ).

fof(f1464,plain,
    ! [X0] : inverse(X0) = multiply(inverse(X0),inverse(identity)),
    inference(superposition,[],[f1114,f204]) ).

fof(f854,plain,
    ! [X0] : identity = multiply(inverse(X0),multiply(X0,inverse(identity))),
    inference(superposition,[],[f767,f2]) ).

fof(f874,plain,
    ! [X0] : identity = multiply(X0,multiply(inverse(X0),inverse(identity))),
    inference(superposition,[],[f767,f652]) ).

fof(f886,plain,
    ! [X0] : identity = multiply(X0,inverse(multiply(X0,inverse(identity)))),
    inference(superposition,[],[f767,f204]) ).

fof(f1644,plain,
    ! [X0] : identity = multiply(inverse(X0),multiply(X0,inverse(identity))),
    inference(forward_demodulation,[],[f856,f672]) ).

fof(f856,plain,
    ! [X0] : identity = multiply(inverse(inverse(inverse(X0))),multiply(X0,inverse(identity))),
    inference(superposition,[],[f767,f583]) ).

fof(f3997,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(forward_demodulation,[],[f2260,f672]) ).

fof(f2260,plain,
    ! [X0] : multiply(inverse(inverse(X0)),inverse(identity)) = X0,
    inference(superposition,[],[f1422,f204]) ).

fof(f23,axiom,
    ( sk_c3 = multiply(sk_c2,sk_c8)
    | sk_c7 = multiply(sk_c4,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).

fof(f25,axiom,
    ( sk_c3 = multiply(sk_c2,sk_c8)
    | sk_c7 = multiply(sk_c5,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).

fof(f27,axiom,
    ( sk_c3 = multiply(sk_c2,sk_c8)
    | sk_c7 = multiply(sk_c6,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).

fof(f26,axiom,
    ( sk_c6 = inverse(sk_c5)
    | sk_c3 = multiply(sk_c2,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).

fof(f32,axiom,
    ( sk_c6 = inverse(sk_c5)
    | sk_c8 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).

fof(f2280,plain,
    ! [X0,X1] : multiply(X1,X0) = inverse(multiply(inverse(X0),inverse(X1))),
    inference(superposition,[],[f1208,f1422]) ).

fof(f2278,plain,
    ! [X2,X0,X1] : multiply(X1,X2) = multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,X2)),
    inference(superposition,[],[f3,f1422]) ).

fof(f2274,plain,
    ! [X0,X1] : multiply(X1,inverse(X0)) = inverse(multiply(X0,inverse(X1))),
    inference(superposition,[],[f1110,f1422]) ).

fof(f2268,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(X0,multiply(X1,inverse(X2)))),multiply(X0,X1)) = X2,
    inference(superposition,[],[f1422,f3]) ).

fof(f1422,plain,
    ! [X0,X1] : multiply(inverse(multiply(X1,inverse(X0))),X1) = X0,
    inference(forward_demodulation,[],[f1369,f672]) ).

fof(f1369,plain,
    ! [X0,X1] : multiply(inverse(multiply(X1,inverse(X0))),inverse(inverse(X1))) = X0,
    inference(superposition,[],[f1025,f1021]) ).

fof(f956,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),inverse(identity)))),
    inference(forward_demodulation,[],[f873,f3]) ).

fof(f873,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(multiply(X1,inverse(multiply(X0,X1))),inverse(identity))),
    inference(superposition,[],[f767,f767]) ).

fof(f1508,plain,
    ! [X0,X1] : inverse(multiply(inverse(X0),X1)) = multiply(inverse(X1),X0),
    inference(superposition,[],[f1208,f1114]) ).

fof(f1506,plain,
    ! [X2,X0,X1] : multiply(inverse(X1),X2) = multiply(inverse(multiply(X0,X1)),multiply(X0,X2)),
    inference(superposition,[],[f3,f1114]) ).

fof(f1502,plain,
    ! [X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(X1),inverse(X0)),
    inference(superposition,[],[f1110,f1114]) ).

fof(f1483,plain,
    ! [X0,X1] : inverse(multiply(inverse(X0),X1)) = multiply(inverse(X1),X0),
    inference(superposition,[],[f1114,f655]) ).

fof(f1482,plain,
    ! [X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(X1),inverse(X0)),
    inference(superposition,[],[f1114,f60]) ).

fof(f1471,plain,
    ! [X2,X0,X1] : inverse(X2) = multiply(inverse(multiply(X0,multiply(X1,X2))),multiply(X0,X1)),
    inference(superposition,[],[f1114,f3]) ).

fof(f1114,plain,
    ! [X0,X1] : inverse(X0) = multiply(inverse(multiply(X1,X0)),X1),
    inference(forward_demodulation,[],[f1049,f672]) ).

fof(f1049,plain,
    ! [X0,X1] : inverse(X0) = multiply(inverse(multiply(X1,X0)),inverse(inverse(X1))),
    inference(superposition,[],[f1021,f1021]) ).

fof(f1397,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,inverse(multiply(inverse(X2),multiply(X0,X1))))) = X2,
    inference(superposition,[],[f3,f1025]) ).

fof(f1396,plain,
    ! [X0,X1] : multiply(X0,X1) = inverse(multiply(inverse(X1),inverse(X0))),
    inference(superposition,[],[f655,f1025]) ).

fof(f1394,plain,
    ! [X2,X0,X1] : multiply(X1,X2) = multiply(X0,multiply(inverse(multiply(inverse(X1),X0)),X2)),
    inference(superposition,[],[f3,f1025]) ).

fof(f1393,plain,
    ! [X0,X1] : multiply(inverse(X0),X1) = inverse(multiply(inverse(X1),X0)),
    inference(superposition,[],[f60,f1025]) ).

fof(f1392,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(inverse(multiply(inverse(X1),X0)),inverse(X1))),
    inference(superposition,[],[f767,f1025]) ).

fof(f1391,plain,
    ! [X0,X1] : inverse(X0) = multiply(inverse(multiply(inverse(X1),X0)),inverse(X1)),
    inference(superposition,[],[f1021,f1025]) ).

fof(f1379,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,inverse(multiply(inverse(X2),multiply(X0,X1))))) = X2,
    inference(superposition,[],[f1025,f3]) ).

fof(f1370,plain,
    ! [X0,X1] : multiply(inverse(multiply(inverse(X1),inverse(X0))),inverse(X1)) = X0,
    inference(superposition,[],[f1025,f1025]) ).

fof(f1025,plain,
    ! [X0,X1] : multiply(X1,inverse(multiply(inverse(X0),X1))) = X0,
    inference(forward_demodulation,[],[f917,f654]) ).

fof(f917,plain,
    ! [X0,X1] : multiply(X0,identity) = multiply(X1,inverse(multiply(inverse(X0),X1))),
    inference(superposition,[],[f655,f767]) ).

fof(f1324,plain,
    ! [X2,X0,X1] : multiply(X0,X2) = multiply(multiply(X0,inverse(X1)),multiply(X1,X2)),
    inference(superposition,[],[f3,f1208]) ).

fof(f1323,plain,
    ! [X0,X1] : multiply(inverse(multiply(X0,inverse(X1))),X0) = X1,
    inference(superposition,[],[f60,f1208]) ).

fof(f1322,plain,
    ! [X0,X1] : identity = multiply(multiply(X0,inverse(X1)),multiply(X1,inverse(X0))),
    inference(superposition,[],[f767,f1208]) ).

fof(f1321,plain,
    ! [X0,X1] : multiply(X1,inverse(X0)) = inverse(multiply(X0,inverse(X1))),
    inference(superposition,[],[f1021,f1208]) ).

fof(f1318,plain,
    ! [X2,X0,X1] : multiply(X0,X1) = multiply(multiply(X0,multiply(X1,inverse(X2))),X2),
    inference(superposition,[],[f1208,f3]) ).

fof(f1208,plain,
    ! [X0,X1] : multiply(multiply(X1,inverse(X0)),X0) = X1,
    inference(superposition,[],[f1110,f672]) ).

fof(f1216,plain,
    ! [X2,X0,X1] : multiply(multiply(X0,X1),multiply(inverse(X1),X2)) = multiply(X0,X2),
    inference(superposition,[],[f3,f1110]) ).

fof(f1215,plain,
    ! [X0,X1] : inverse(X1) = multiply(inverse(multiply(X0,X1)),X0),
    inference(superposition,[],[f60,f1110]) ).

fof(f1214,plain,
    ! [X0,X1] : identity = multiply(multiply(X0,X1),multiply(inverse(X1),inverse(X0))),
    inference(superposition,[],[f767,f1110]) ).

fof(f1213,plain,
    ! [X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(X1),inverse(X0)),
    inference(superposition,[],[f1021,f1110]) ).

fof(f1192,plain,
    ! [X0,X1] : multiply(X1,inverse(multiply(inverse(X0),X1))) = X0,
    inference(superposition,[],[f1110,f655]) ).

fof(f1180,plain,
    ! [X2,X0,X1] : multiply(X0,X1) = multiply(multiply(X0,multiply(X1,X2)),inverse(X2)),
    inference(superposition,[],[f1110,f3]) ).

fof(f1110,plain,
    ! [X0,X1] : multiply(multiply(X0,X1),inverse(X1)) = X0,
    inference(forward_demodulation,[],[f1045,f672]) ).

fof(f1045,plain,
    ! [X0,X1] : inverse(inverse(X0)) = multiply(multiply(X0,X1),inverse(X1)),
    inference(superposition,[],[f1021,f60]) ).

fof(f1079,plain,
    ! [X2,X0,X1] : inverse(X2) = multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1))))),
    inference(superposition,[],[f3,f1021]) ).

fof(f1078,plain,
    ! [X0,X1] : inverse(multiply(X1,inverse(X0))) = multiply(X0,inverse(X1)),
    inference(superposition,[],[f655,f1021]) ).

fof(f1076,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(inverse(multiply(X1,X0)),X2)) = multiply(inverse(X1),X2),
    inference(superposition,[],[f3,f1021]) ).

fof(f1075,plain,
    ! [X0,X1] : inverse(multiply(X1,X0)) = multiply(inverse(X0),inverse(X1)),
    inference(superposition,[],[f60,f1021]) ).

fof(f1171,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(inverse(multiply(X1,X0)),X1)),
    inference(forward_demodulation,[],[f1074,f672]) ).

fof(f1074,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(inverse(multiply(X1,X0)),inverse(inverse(X1)))),
    inference(superposition,[],[f767,f1021]) ).

fof(f1065,plain,
    ! [X2,X0,X1] : inverse(X2) = multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1))))),
    inference(superposition,[],[f1021,f3]) ).

fof(f1046,plain,
    ! [X0,X1] : inverse(X0) = multiply(multiply(inverse(X0),X1),inverse(X1)),
    inference(superposition,[],[f1021,f655]) ).

fof(f1034,plain,
    ! [X2,X0,X1] : inverse(multiply(X0,X1)) = multiply(X2,inverse(multiply(X0,multiply(X1,X2)))),
    inference(superposition,[],[f1021,f3]) ).

fof(f1021,plain,
    ! [X0,X1] : inverse(X0) = multiply(X1,inverse(multiply(X0,X1))),
    inference(forward_demodulation,[],[f914,f654]) ).

fof(f914,plain,
    ! [X0,X1] : multiply(inverse(X0),identity) = multiply(X1,inverse(multiply(X0,X1))),
    inference(superposition,[],[f60,f767]) ).

fof(f1026,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(X0,multiply(X1,X2)))))),
    inference(forward_demodulation,[],[f918,f3]) ).

fof(f918,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(multiply(X0,X1),X2))))),
    inference(superposition,[],[f3,f767]) ).

fof(f1023,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
    inference(forward_demodulation,[],[f1022,f3]) ).

fof(f1022,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,inverse(multiply(X0,X1))),X2)) = X2,
    inference(forward_demodulation,[],[f915,f1]) ).

fof(f915,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,inverse(multiply(X0,X1))),X2)) = multiply(identity,X2),
    inference(superposition,[],[f3,f767]) ).

fof(f998,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(X0,multiply(X1,X2)))))),
    inference(forward_demodulation,[],[f901,f3]) ).

fof(f901,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(multiply(X0,X1),X2))))),
    inference(superposition,[],[f767,f3]) ).

fof(f890,plain,
    ! [X2,X0,X1] : identity = multiply(X2,multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1)))))),
    inference(superposition,[],[f767,f3]) ).

fof(f860,plain,
    ! [X2,X0,X1] : identity = multiply(multiply(X0,X1),multiply(X2,inverse(multiply(X0,multiply(X1,X2))))),
    inference(superposition,[],[f767,f3]) ).

fof(f767,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
    inference(superposition,[],[f652,f3]) ).

fof(f829,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
    inference(superposition,[],[f3,f655]) ).

fof(f819,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
    inference(superposition,[],[f655,f3]) ).

fof(f655,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f217,f60]) ).

fof(f778,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
    inference(superposition,[],[f3,f652]) ).

fof(f794,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(forward_demodulation,[],[f776,f1]) ).

fof(f776,plain,
    ! [X0,X1] : multiply(identity,X1) = multiply(X0,multiply(inverse(X0),X1)),
    inference(superposition,[],[f3,f652]) ).

fof(f652,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f217,f2]) ).

fof(f731,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f2,f672]) ).

fof(f730,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f60,f672]) ).

fof(f672,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(superposition,[],[f654,f205]) ).

fof(f718,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(forward_demodulation,[],[f695,f654]) ).

fof(f695,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,identity),
    inference(superposition,[],[f217,f654]) ).

fof(f683,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(superposition,[],[f205,f654]) ).

fof(f707,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(forward_demodulation,[],[f679,f654]) ).

fof(f679,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,identity),
    inference(superposition,[],[f654,f217]) ).

fof(f654,plain,
    ! [X0] : multiply(X0,identity) = X0,
    inference(superposition,[],[f217,f205]) ).

fof(f663,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f60,f217]) ).

fof(f662,plain,
    ! [X0] : multiply(X0,identity) = X0,
    inference(superposition,[],[f205,f217]) ).

fof(f659,plain,
    ! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
    inference(superposition,[],[f60,f217]) ).

fof(f658,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f2,f217]) ).

fof(f217,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
    inference(superposition,[],[f60,f60]) ).

fof(f646,plain,
    ! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f633,f1]) ).

fof(f633,plain,
    ! [X0,X1] : multiply(identity,X1) = multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)),
    inference(superposition,[],[f3,f583]) ).

fof(f632,plain,
    ! [X0] : multiply(inverse(inverse(inverse(inverse(X0)))),identity) = X0,
    inference(superposition,[],[f60,f583]) ).

fof(f583,plain,
    ! [X0] : identity = multiply(inverse(inverse(inverse(X0))),X0),
    inference(superposition,[],[f60,f205]) ).

fof(f588,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
    inference(forward_demodulation,[],[f584,f1]) ).

fof(f584,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),multiply(identity,X1)),
    inference(superposition,[],[f3,f205]) ).

fof(f205,plain,
    ! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[],[f60,f2]) ).

fof(f402,plain,
    ! [X0] : multiply(inverse(inverse(identity)),X0) = X0,
    inference(superposition,[],[f60,f204]) ).

fof(f204,plain,
    ! [X0] : multiply(inverse(identity),X0) = X0,
    inference(superposition,[],[f60,f1]) ).

fof(f30,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c8 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).

fof(f28,axiom,
    ( sk_c8 = inverse(sk_c2)
    | inverse(sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).

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

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

fof(f18,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c7 = multiply(sk_c8,sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).

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

fof(f24,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c3 = multiply(sk_c2,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).

fof(f36,plain,
    ! [X3,X6,X7,X5] :
      ( sk_c8 != inverse(X3)
      | sk_c8 != inverse(X5)
      | sk_c8 != inverse(X6)
      | inverse(sk_c8) != sk_c7
      | sk_c7 != multiply(X6,sk_c8)
      | sk_c7 != multiply(inverse(X7),sk_c8)
      | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
      | sk_c7 != multiply(X7,inverse(X7))
      | sk_c8 != multiply(X3,sk_c7) ),
    inference(equality_resolution,[],[f35]) ).

fof(f35,plain,
    ! [X3,X6,X7,X4,X5] :
      ( sk_c8 != inverse(X3)
      | sk_c8 != inverse(X5)
      | sk_c8 != inverse(X6)
      | inverse(sk_c8) != sk_c7
      | sk_c7 != multiply(X6,sk_c8)
      | sk_c7 != multiply(inverse(X7),sk_c8)
      | sk_c7 != multiply(sk_c8,X4)
      | sk_c7 != multiply(X7,inverse(X7))
      | sk_c8 != multiply(X3,sk_c7)
      | multiply(X5,sk_c8) != X4 ),
    inference(equality_resolution,[],[f34]) ).

fof(f34,axiom,
    ! [X3,X8,X6,X7,X4,X5] :
      ( sk_c8 != inverse(X3)
      | sk_c8 != inverse(X5)
      | sk_c8 != inverse(X6)
      | inverse(sk_c8) != sk_c7
      | inverse(X7) != X8
      | sk_c7 != multiply(X6,sk_c8)
      | sk_c7 != multiply(X8,sk_c8)
      | sk_c7 != multiply(sk_c8,X4)
      | sk_c7 != multiply(X7,X8)
      | sk_c8 != multiply(X3,sk_c7)
      | multiply(X5,sk_c8) != X4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).

fof(f208,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
    inference(superposition,[],[f60,f3]) ).

fof(f60,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f53,f1]) ).

fof(f53,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[],[f3,f2]) ).

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

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(f4593,plain,
    ( spl0_2
    | spl0_4
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f4592]) ).

fof(f4592,plain,
    ( $false
    | spl0_2
    | spl0_4
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f4591,f1,f2,f4,f3,f60,f208,f36,f24,f22,f18,f16,f10,f28,f30,f378,f204,f402,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f956,f1422,f2268,f2274,f2278,f2280,f32,f26,f27,f25,f23,f3997,f1644,f886,f874,f854,f1464,f1620,f1384,f1375,f1068,f1061,f1048,f1326,f1320,f1599,f1181,f1627,f1626,f1592,f1590,f1588,f1356,f1594,f1583,f1523,f1218,f1080,f1003,f1002,f992,f991,f1655,f1654,f768,f762,f686,f685,f675,f674,f634,f631,f20,f17,f21,f19,f14,f8,f7,f9,f13,f15,f33,f31,f4370,f4369,f4357,f4345,f4344,f4343,f43,f29,f11,f5,f6,f12]) ).

fof(f4591,plain,
    ( identity = multiply(sk_c2,sk_c8)
    | sk_c8 = inverse(sk_c4)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f24,f1746]) ).

fof(f1746,plain,
    ( identity = sk_c3
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f1744]) ).

fof(f1744,plain,
    ( spl0_9
  <=> identity = sk_c3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f4590,plain,
    ( spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f4589]) ).

fof(f4589,plain,
    ( $false
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f1,f2,f4,f3,f60,f208,f36,f24,f22,f18,f16,f10,f28,f30,f378,f204,f402,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f956,f1422,f2268,f2274,f2278,f2280,f32,f26,f27,f25,f23,f3997,f1644,f886,f874,f854,f1464,f1620,f1384,f1375,f1068,f1061,f1048,f1326,f1320,f1599,f1181,f1627,f1626,f1592,f1590,f1588,f1356,f1594,f1583,f1523,f1218,f1080,f1003,f1002,f992,f991,f1655,f1654,f768,f762,f686,f685,f675,f674,f634,f631,f20,f17,f21,f19,f14,f8,f7,f9,f13,f15,f33,f31,f4370,f4369,f4357,f4345,f4344,f4343,f43,f29,f11,f5,f6,f12]) ).

fof(f4588,plain,
    ( spl0_2
    | spl0_4
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f4587]) ).

fof(f4587,plain,
    ( $false
    | spl0_2
    | spl0_4
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f4586,f1,f2,f4,f3,f60,f208,f36,f24,f22,f18,f16,f12,f10,f28,f30,f378,f204,f402,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f956,f1422,f2268,f2274,f2278,f2280,f32,f26,f27,f25,f23,f3997,f1644,f886,f874,f854,f1464,f1620,f1384,f1375,f1068,f1061,f1048,f1326,f1320,f1599,f1181,f1627,f1626,f1592,f1590,f1588,f1356,f1594,f1583,f1523,f1218,f1080,f1003,f1002,f992,f991,f1655,f1654,f768,f762,f686,f685,f675,f674,f634,f631,f20,f17,f21,f19,f14,f8,f7,f9,f13,f15,f33,f31,f4370,f4369,f4357,f4345,f4344,f4343,f43,f29,f11,f5,f6]) ).

fof(f4586,plain,
    ( sk_c8 = sk_c7
    | sk_c8 = inverse(sk_c4)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f4585,f654]) ).

fof(f4585,plain,
    ( sk_c7 = multiply(sk_c8,identity)
    | sk_c8 = inverse(sk_c4)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f18,f1746]) ).

fof(f4584,plain,
    ( spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f4583]) ).

fof(f4583,plain,
    ( $false
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f1,f2,f4,f3,f60,f208,f36,f24,f22,f18,f16,f12,f10,f28,f30,f378,f204,f402,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f956,f1422,f2268,f2274,f2278,f2280,f32,f26,f27,f25,f23,f3997,f1644,f886,f874,f854,f1464,f1620,f1384,f1375,f1068,f1061,f1048,f1326,f1320,f1599,f1181,f1627,f1626,f1592,f1590,f1588,f1356,f1594,f1583,f1523,f1218,f1080,f1003,f1002,f992,f991,f1655,f1654,f768,f762,f686,f685,f675,f674,f634,f631,f20,f17,f21,f19,f14,f8,f7,f9,f13,f15,f33,f31,f4370,f4369,f4357,f4345,f4344,f4343,f43,f29,f11,f5,f6]) ).

fof(f4582,plain,
    ( spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f4581]) ).

fof(f4581,plain,
    ( $false
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f6,f1,f2,f4,f3,f60,f208,f36,f24,f22,f18,f16,f12,f10,f28,f30,f378,f204,f402,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f956,f1422,f2268,f2274,f2278,f2280,f32,f26,f27,f25,f23,f3997,f1644,f886,f874,f854,f1464,f1620,f1384,f1375,f1068,f1061,f1048,f1326,f1320,f1599,f1181,f1627,f1626,f1592,f1590,f1588,f1356,f1594,f1583,f1523,f1218,f1080,f1003,f1002,f992,f991,f1655,f1654,f768,f762,f686,f685,f675,f674,f634,f631,f20,f17,f21,f19,f14,f8,f7,f9,f13,f15,f33,f31,f4370,f4369,f4357,f4345,f4344,f4343,f43,f29,f11,f5]) ).

fof(f4580,plain,
    ( spl0_2
    | spl0_4
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f4579]) ).

fof(f4579,plain,
    ( $false
    | spl0_2
    | spl0_4
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f4578,f6,f1,f2,f4,f3,f60,f208,f36,f24,f22,f18,f16,f12,f10,f28,f30,f378,f204,f402,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f956,f1422,f2268,f2274,f2278,f2280,f32,f26,f27,f25,f23,f3997,f1644,f886,f874,f854,f1464,f1620,f1384,f1375,f1068,f1061,f1048,f1326,f1320,f1599,f1181,f1627,f1626,f1592,f1590,f1588,f1356,f1594,f1583,f1523,f1218,f1080,f1003,f1002,f992,f991,f1655,f1654,f768,f762,f686,f685,f675,f674,f634,f631,f20,f17,f21,f19,f14,f5,f8,f7,f9,f13,f15,f33,f31,f4370,f4369,f4357,f4345,f4344,f4343,f43,f29,f11]) ).

fof(f4578,plain,
    ( sk_c8 = sk_c7
    | sk_c7 = multiply(sk_c4,sk_c8)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f4577,f654]) ).

fof(f4577,plain,
    ( sk_c7 = multiply(sk_c8,identity)
    | sk_c7 = multiply(sk_c4,sk_c8)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f17,f1746]) ).

fof(f4576,plain,
    ( spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f4575]) ).

fof(f4575,plain,
    ( $false
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f6,f1,f2,f4,f3,f60,f208,f36,f24,f22,f18,f16,f12,f10,f28,f30,f378,f204,f402,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f956,f1422,f2268,f2274,f2278,f2280,f32,f26,f27,f25,f23,f3997,f1644,f886,f874,f854,f1464,f1620,f1384,f1375,f1068,f1061,f1048,f1326,f1320,f1599,f1181,f1627,f1626,f1592,f1590,f1588,f1356,f1594,f1583,f1523,f1218,f1080,f1003,f1002,f992,f991,f1655,f1654,f768,f762,f686,f685,f675,f674,f634,f631,f20,f17,f21,f19,f14,f5,f8,f7,f9,f13,f15,f33,f31,f4370,f4369,f4357,f4345,f4344,f4343,f43,f29,f11]) ).

fof(f4574,plain,
    ( spl0_2
    | spl0_4
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f4573]) ).

fof(f4573,plain,
    ( $false
    | spl0_2
    | spl0_4
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f4361,f6,f1,f2,f4,f3,f60,f208,f36,f24,f22,f18,f16,f12,f10,f28,f30,f378,f204,f402,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f956,f1422,f2268,f2274,f2278,f2280,f32,f26,f27,f25,f23,f3997,f1644,f886,f874,f854,f1464,f1620,f1384,f1375,f1068,f1061,f1048,f1326,f1320,f1599,f1181,f1627,f1626,f1592,f1590,f1588,f1356,f1594,f1583,f1523,f1218,f1080,f1003,f1002,f992,f991,f1655,f1654,f768,f762,f686,f685,f675,f674,f634,f631,f20,f11,f17,f21,f19,f14,f5,f8,f7,f9,f13,f15,f33,f31,f4370,f4369,f4357,f4345,f4344,f4343,f43,f29]) ).

fof(f4361,plain,
    ( identity = multiply(sk_c2,sk_c8)
    | sk_c7 = multiply(sk_c4,sk_c8)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f23,f1746]) ).

fof(f4572,plain,
    ( spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f4571]) ).

fof(f4571,plain,
    ( $false
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f6,f1,f2,f4,f3,f60,f208,f36,f24,f22,f18,f16,f12,f10,f28,f30,f378,f204,f402,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f956,f1422,f2268,f2274,f2278,f2280,f32,f26,f27,f25,f23,f3997,f1644,f886,f874,f854,f1464,f1620,f1384,f1375,f1068,f1061,f1048,f1326,f1320,f1599,f1181,f1627,f1626,f1592,f1590,f1588,f1356,f1594,f1583,f1523,f1218,f1080,f1003,f1002,f992,f991,f1655,f1654,f768,f762,f686,f685,f675,f674,f634,f631,f20,f11,f17,f21,f19,f14,f5,f8,f7,f9,f13,f15,f33,f31,f4370,f4369,f4357,f4345,f4344,f4343,f43,f29]) ).

fof(f4570,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f4569]) ).

fof(f4569,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(global_subsumption,[],[f4374,f6,f1,f2,f4,f3,f60,f208,f36,f24,f22,f18,f16,f12,f10,f28,f30,f378,f204,f402,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f956,f1422,f2268,f2274,f2278,f2280,f32,f26,f29,f27,f25,f23,f3997,f1644,f886,f874,f854,f1464,f1620,f1384,f1375,f1068,f1061,f1048,f1326,f1320,f1599,f1181,f1627,f1626,f1592,f1590,f1588,f1356,f1594,f1583,f1523,f1218,f1080,f1003,f1002,f992,f991,f1655,f1654,f768,f762,f686,f685,f675,f674,f634,f631,f20,f11,f17,f21,f19,f14,f5,f8,f7,f9,f13,f15,f33,f31,f4370,f4369,f4357,f4345,f4344,f4343,f43]) ).

fof(f4374,plain,
    ( sk_c7 = sk_c2
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f722,f40]) ).

fof(f40,plain,
    ( inverse(sk_c8) = sk_c7
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f38]) ).

fof(f38,plain,
    ( spl0_1
  <=> inverse(sk_c8) = sk_c7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f722,plain,
    ( inverse(sk_c8) = sk_c2
    | ~ spl0_3 ),
    inference(superposition,[],[f672,f375]) ).

fof(f375,plain,
    ( sk_c8 = inverse(sk_c2)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f373]) ).

fof(f373,plain,
    ( spl0_3
  <=> sk_c8 = inverse(sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f4568,plain,
    ( spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f4567]) ).

fof(f4567,plain,
    ( $false
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f6,f1,f2,f4,f3,f60,f208,f36,f24,f22,f18,f16,f12,f10,f28,f30,f378,f204,f402,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f956,f1422,f2268,f2274,f2278,f2280,f32,f26,f29,f27,f25,f23,f3997,f1644,f886,f874,f854,f1464,f1620,f1384,f1375,f1068,f1061,f1048,f1326,f1320,f1599,f1181,f1627,f1626,f1592,f1590,f1588,f1356,f1594,f1583,f1523,f1218,f1080,f1003,f1002,f992,f991,f1655,f1654,f768,f762,f686,f685,f675,f674,f634,f631,f20,f11,f17,f21,f19,f14,f5,f8,f7,f9,f13,f15,f33,f31,f4370,f4369,f4357,f4345,f4344,f4343,f43]) ).

fof(f4566,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f4565]) ).

fof(f4565,plain,
    ( $false
    | spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(global_subsumption,[],[f375,f6,f1,f2,f4,f3,f60,f208,f36,f24,f22,f18,f16,f12,f10,f28,f30,f378,f204,f402,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f956,f1422,f2268,f2274,f2278,f2280,f32,f26,f29,f27,f25,f23,f3997,f1644,f886,f874,f854,f1464,f1620,f1384,f1375,f1068,f1061,f1048,f1326,f1320,f1599,f1181,f1627,f1626,f1592,f1590,f1588,f1356,f1594,f1583,f1523,f1218,f1080,f1003,f1002,f992,f991,f1655,f1654,f768,f762,f686,f685,f675,f674,f634,f631,f20,f11,f17,f21,f19,f14,f5,f8,f43,f7,f9,f13,f15,f33,f31,f4370,f4369,f4357,f4345,f4344,f4343]) ).

fof(f4564,plain,
    ( spl0_2
    | spl0_4
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f4563]) ).

fof(f4563,plain,
    ( $false
    | spl0_2
    | spl0_4
    | spl0_12 ),
    inference(global_subsumption,[],[f3264,f6,f1,f2,f4,f3,f60,f208,f36,f24,f22,f18,f16,f12,f10,f28,f30,f378,f204,f402,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f956,f1422,f2268,f2274,f2278,f2280,f32,f26,f29,f27,f25,f23,f3997,f1644,f886,f874,f854,f1464,f1620,f1384,f1375,f1068,f1061,f1048,f1326,f1320,f1599,f1181,f1627,f1626,f1592,f1590,f1588,f1356,f1594,f1583,f1523,f1218,f1080,f1003,f1002,f992,f991,f1655,f1654,f768,f762,f686,f685,f675,f674,f634,f631,f20,f11,f17,f21,f19,f14,f5,f8,f43,f7,f9,f13,f15,f33,f31,f4370,f4369,f4357,f4345,f4344,f4343]) ).

fof(f3264,plain,
    ( sk_c1 != multiply(sk_c6,sk_c8)
    | spl0_12 ),
    inference(avatar_component_clause,[],[f3263]) ).

fof(f3263,plain,
    ( spl0_12
  <=> sk_c1 = multiply(sk_c6,sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f4562,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f4561]) ).

fof(f4561,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f670,f6,f1,f2,f4,f3,f60,f208,f36,f24,f22,f18,f16,f12,f10,f28,f30,f378,f204,f402,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f956,f1422,f2268,f2274,f2278,f2280,f32,f26,f29,f27,f25,f23,f3997,f1644,f886,f874,f854,f1464,f1620,f1384,f1375,f1068,f1061,f1048,f1326,f1320,f1599,f1181,f1627,f1626,f1592,f1590,f1588,f1356,f1594,f1583,f1523,f1218,f1080,f1003,f1002,f992,f991,f1655,f1654,f768,f762,f686,f685,f675,f674,f634,f631,f20,f11,f17,f21,f19,f14,f5,f8,f43,f7,f9,f13,f15,f33,f31,f4370,f4369,f4357,f4345,f4344,f4343]) ).

fof(f670,plain,
    ( sk_c8 = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f654,f328]) ).

fof(f328,plain,
    ( sk_c8 = multiply(inverse(sk_c7),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f60,f327]) ).

fof(f327,plain,
    ( identity = multiply(sk_c7,sk_c8)
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f40]) ).

fof(f4560,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f4559]) ).

fof(f4559,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f681,f6,f1,f2,f4,f3,f60,f208,f36,f24,f22,f18,f16,f12,f10,f28,f30,f378,f204,f402,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f956,f1422,f2268,f2274,f2278,f2280,f32,f26,f29,f27,f25,f23,f3997,f1644,f886,f874,f854,f1464,f1620,f1384,f1375,f1068,f1061,f1048,f1326,f1320,f1599,f1181,f1627,f1626,f1592,f1590,f1588,f1356,f1594,f1583,f1523,f1218,f1080,f1003,f1002,f992,f991,f1655,f1654,f768,f762,f686,f685,f675,f674,f634,f631,f20,f11,f17,f21,f19,f14,f5,f8,f43,f7,f9,f13,f15,f33,f31,f4370,f4369,f4357,f4345,f4344,f4343]) ).

fof(f681,plain,
    ( sk_c8 = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f328,f654]) ).

fof(f4558,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f4557]) ).

fof(f4557,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f4011,f6,f1,f2,f4,f3,f60,f208,f36,f24,f22,f18,f16,f12,f10,f28,f30,f378,f204,f402,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f956,f1422,f2268,f2274,f2278,f2280,f32,f26,f29,f27,f25,f23,f3997,f1644,f886,f874,f854,f1464,f1620,f1384,f1375,f1068,f1061,f1048,f1326,f1320,f1599,f1181,f1627,f1626,f1592,f1590,f1588,f1356,f1594,f1583,f1523,f1218,f1080,f1003,f1002,f992,f991,f1655,f1654,f768,f762,f686,f685,f675,f674,f634,f631,f20,f11,f17,f21,f19,f14,f5,f8,f43,f7,f9,f13,f15,f33,f31,f4370,f4369,f4357,f4345,f4344,f4343]) ).

fof(f4011,plain,
    ( sk_c8 = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f688,f654]) ).

fof(f688,plain,
    ( multiply(sk_c8,identity) = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f337,f654]) ).

fof(f337,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(sk_c7),X0)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f336,f1]) ).

fof(f336,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(sk_c7),multiply(identity,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f328]) ).

fof(f4556,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f4555]) ).

fof(f4555,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f4012,f6,f1,f2,f4,f3,f60,f208,f36,f24,f22,f18,f16,f12,f10,f28,f30,f378,f204,f402,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f956,f1422,f2268,f2274,f2278,f2280,f32,f26,f29,f27,f25,f23,f3997,f1644,f886,f874,f854,f1464,f1620,f1384,f1375,f1068,f1061,f1048,f1326,f1320,f1599,f1181,f1627,f1626,f1592,f1590,f1588,f1356,f1594,f1583,f1523,f1218,f1080,f1003,f1002,f992,f991,f1655,f1654,f768,f762,f686,f685,f675,f674,f634,f631,f20,f11,f17,f21,f19,f14,f5,f8,f43,f7,f9,f13,f15,f33,f31,f4370,f4369,f4357,f4345,f4344,f4343]) ).

fof(f4012,plain,
    ( sk_c8 = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f677,f654]) ).

fof(f677,plain,
    ( multiply(sk_c8,identity) = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f654,f337]) ).

fof(f4554,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f4553]) ).

fof(f4553,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f721,f6,f1,f2,f4,f3,f60,f208,f36,f24,f22,f18,f16,f12,f10,f28,f30,f378,f204,f402,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f956,f1422,f2268,f2274,f2278,f2280,f32,f26,f29,f27,f25,f23,f3997,f1644,f886,f874,f854,f1464,f1620,f1384,f1375,f1068,f1061,f1048,f1326,f1320,f1599,f1181,f1627,f1626,f1592,f1590,f1588,f1356,f1594,f1583,f1523,f1218,f1080,f1003,f1002,f992,f991,f1655,f1654,f768,f762,f686,f685,f675,f674,f634,f631,f20,f11,f17,f21,f19,f14,f5,f8,f43,f7,f9,f13,f15,f33,f31,f4370,f4369,f4357,f4345,f4344,f4343]) ).

fof(f721,plain,
    ( sk_c8 = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f672,f40]) ).

fof(f4552,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f4551]) ).

fof(f4551,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f1622,f6,f1,f2,f4,f3,f60,f208,f36,f24,f22,f18,f16,f12,f10,f28,f30,f378,f204,f402,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f956,f1422,f2268,f2274,f2278,f2280,f32,f26,f29,f27,f25,f23,f3997,f1644,f886,f874,f854,f1464,f1620,f1384,f1375,f1068,f1061,f1048,f1326,f1320,f1599,f1181,f1627,f1626,f1592,f1590,f1588,f1356,f1594,f1583,f1523,f1218,f1080,f1003,f1002,f992,f991,f1655,f1654,f768,f762,f686,f685,f675,f674,f634,f631,f20,f11,f17,f21,f19,f14,f5,f8,f43,f7,f9,f13,f15,f33,f31,f4370,f4369,f4357,f4345,f4344,f4343]) ).

fof(f1622,plain,
    ( sk_c8 = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1043,f1110]) ).

fof(f1043,plain,
    ( ! [X0] : inverse(sk_c7) = multiply(multiply(sk_c8,X0),inverse(X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f1021,f326]) ).

fof(f326,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f60,f40]) ).

fof(f4550,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f4549]) ).

fof(f4549,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f1220,f6,f1,f2,f4,f3,f60,f208,f36,f24,f22,f18,f16,f12,f10,f28,f30,f378,f204,f402,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f956,f1422,f2268,f2274,f2278,f2280,f32,f26,f29,f27,f25,f23,f3997,f1644,f886,f874,f854,f1464,f1620,f1384,f1375,f1068,f1061,f1048,f1326,f1320,f1599,f1181,f1627,f1626,f1592,f1590,f1588,f1356,f1594,f1583,f1523,f1218,f1080,f1003,f1002,f992,f991,f1655,f1654,f768,f762,f686,f685,f675,f674,f634,f631,f20,f11,f17,f21,f19,f14,f5,f8,f43,f7,f9,f13,f15,f33,f31,f4370,f4369,f4357,f4345,f4344,f4343]) ).

fof(f1220,plain,
    ( sk_c8 = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1177,f1110]) ).

fof(f1177,plain,
    ( ! [X0] : inverse(sk_c7) = multiply(multiply(sk_c8,X0),inverse(X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f1110,f337]) ).

fof(f4548,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f4547]) ).

fof(f4547,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f1559,f6,f1,f2,f4,f3,f60,f208,f36,f24,f22,f18,f16,f12,f10,f28,f30,f378,f204,f402,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f956,f1422,f2268,f2274,f2278,f2280,f32,f26,f29,f27,f25,f23,f3997,f1644,f886,f874,f854,f1464,f1620,f1384,f1375,f1068,f1061,f1048,f1326,f1320,f1599,f1181,f1627,f1626,f1592,f1590,f1588,f1356,f1594,f1583,f1523,f1218,f1080,f1003,f1002,f992,f991,f1655,f1654,f768,f762,f686,f685,f675,f674,f634,f631,f20,f11,f17,f21,f19,f14,f5,f8,f43,f7,f9,f13,f15,f33,f31,f4370,f4369,f4357,f4345,f4344,f4343]) ).

fof(f1559,plain,
    ( sk_c8 = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1496,f204]) ).

fof(f1496,plain,
    ( inverse(sk_c7) = multiply(inverse(identity),sk_c8)
    | ~ spl0_1 ),
    inference(superposition,[],[f1114,f406]) ).

fof(f406,plain,
    ( identity = multiply(sk_c8,sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f337,f2]) ).

fof(f4546,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f4545]) ).

fof(f4545,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f1343,f6,f1,f2,f4,f3,f60,f208,f36,f24,f22,f18,f16,f12,f10,f28,f30,f378,f204,f402,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f956,f1422,f2268,f2274,f2278,f2280,f32,f26,f29,f27,f25,f23,f3997,f1644,f886,f874,f854,f1464,f1620,f1384,f1375,f1068,f1061,f1048,f1326,f1320,f1599,f1181,f1627,f1626,f1592,f1590,f1588,f1356,f1594,f1583,f1523,f1218,f1080,f1003,f1002,f992,f991,f1655,f1654,f768,f762,f686,f685,f675,f674,f634,f631,f20,f11,f17,f21,f19,f14,f5,f8,f43,f7,f9,f13,f15,f33,f31,f4370,f4369,f4357,f4345,f4344,f4343]) ).

fof(f1343,plain,
    ( sk_c8 = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1314,f1208]) ).

fof(f1314,plain,
    ( ! [X0] : inverse(sk_c7) = multiply(multiply(sk_c8,inverse(X0)),X0)
    | ~ spl0_1 ),
    inference(superposition,[],[f1208,f337]) ).

fof(f4544,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_4
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f4543]) ).

fof(f4543,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_4
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f2477,f6,f1,f2,f4,f3,f60,f208,f36,f24,f22,f18,f16,f12,f10,f28,f30,f378,f204,f402,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f956,f1422,f2268,f2274,f2278,f2280,f32,f26,f29,f27,f25,f23,f3997,f1644,f886,f874,f854,f1464,f1620,f1384,f1375,f1068,f1061,f1048,f1326,f1320,f1599,f1181,f1627,f1626,f1592,f1590,f1588,f1356,f1594,f1583,f1523,f1218,f1080,f1003,f1002,f992,f991,f1655,f1654,f768,f762,f686,f685,f675,f674,f634,f631,f20,f11,f17,f21,f19,f14,f5,f8,f43,f7,f9,f13,f15,f33,f31,f4370,f4369,f4357,f4345,f4344,f4343]) ).

fof(f2477,plain,
    ( sk_c8 = inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2460,f1757]) ).

fof(f1757,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c5),sk_c6) = X0
    | ~ spl0_8 ),
    inference(superposition,[],[f1110,f1742]) ).

fof(f1742,plain,
    ( sk_c6 = inverse(sk_c5)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f1740]) ).

fof(f1740,plain,
    ( spl0_8
  <=> sk_c6 = inverse(sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f2460,plain,
    ( inverse(sk_c7) = multiply(multiply(sk_c8,sk_c5),sk_c6)
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(superposition,[],[f1757,f337]) ).

fof(f4542,plain,
    ( spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f4541]) ).

fof(f4541,plain,
    ( $false
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f6,f1,f2,f4,f3,f60,f208,f36,f24,f22,f18,f16,f12,f10,f28,f30,f378,f204,f402,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f956,f1422,f2268,f2274,f2278,f2280,f32,f26,f29,f27,f25,f23,f3997,f1644,f886,f874,f854,f1464,f1620,f1384,f1375,f1068,f1061,f1048,f1326,f1320,f1599,f1181,f1627,f1626,f1592,f1590,f1588,f1356,f1594,f1583,f1523,f1218,f1080,f1003,f1002,f992,f991,f1655,f1654,f768,f762,f686,f685,f675,f674,f634,f631,f20,f11,f17,f21,f19,f14,f5,f8,f43,f7,f9,f13,f15,f33,f31,f4370,f4369,f4357,f4345,f4344,f4343]) ).

fof(f4540,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_4
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f4539]) ).

fof(f4539,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_4
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f2508,f6,f1,f2,f4,f3,f60,f208,f36,f24,f22,f18,f16,f12,f10,f28,f30,f378,f204,f402,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f956,f1422,f2268,f2274,f2278,f2280,f32,f26,f29,f27,f25,f23,f3997,f1644,f886,f874,f854,f1464,f1620,f1384,f1375,f1068,f1061,f1048,f1326,f1320,f1599,f1181,f1627,f1626,f1592,f1590,f1588,f1356,f1594,f1583,f1523,f1218,f1080,f1003,f1002,f992,f991,f1655,f1654,f768,f762,f686,f685,f675,f674,f634,f631,f20,f11,f17,f21,f19,f14,f5,f8,f43,f7,f4343,f9,f13,f15,f33,f31,f4370,f4369,f4357,f4345,f4344]) ).

fof(f2508,plain,
    ( sk_c8 = inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2491,f1769]) ).

fof(f1769,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c6),sk_c5) = X0
    | ~ spl0_8 ),
    inference(superposition,[],[f1110,f1755]) ).

fof(f1755,plain,
    ( sk_c5 = inverse(sk_c6)
    | ~ spl0_8 ),
    inference(superposition,[],[f672,f1742]) ).

fof(f2491,plain,
    ( inverse(sk_c7) = multiply(multiply(sk_c8,sk_c6),sk_c5)
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(superposition,[],[f1769,f337]) ).

fof(f4538,plain,
    ( spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f4537]) ).

fof(f4537,plain,
    ( $false
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f6,f1,f2,f4,f3,f60,f208,f36,f24,f22,f18,f16,f12,f10,f28,f30,f378,f204,f402,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f956,f1422,f2268,f2274,f2278,f2280,f32,f26,f29,f27,f25,f23,f3997,f1644,f886,f874,f854,f1464,f1620,f1384,f1375,f1068,f1061,f1048,f1326,f1320,f1599,f1181,f1627,f1626,f1592,f1590,f1588,f1356,f1594,f1583,f1523,f1218,f1080,f1003,f1002,f992,f991,f1655,f1654,f768,f762,f686,f685,f675,f674,f634,f631,f20,f11,f17,f21,f19,f14,f5,f8,f43,f7,f4343,f9,f13,f15,f33,f31,f4370,f4369,f4357,f4345,f4344]) ).

fof(f4536,plain,
    ( spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f4535]) ).

fof(f4535,plain,
    ( $false
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f6,f1,f2,f4,f3,f60,f208,f36,f24,f22,f18,f16,f12,f10,f28,f30,f378,f204,f402,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f956,f1422,f2268,f2274,f2278,f2280,f32,f26,f29,f27,f25,f23,f3997,f1644,f886,f874,f854,f1464,f1620,f1384,f1375,f1068,f1061,f1048,f1326,f1320,f1599,f1181,f1627,f1626,f1592,f1590,f1588,f1356,f1594,f1583,f1523,f1218,f1080,f1003,f1002,f992,f991,f1655,f1654,f768,f762,f686,f685,f675,f674,f634,f631,f20,f11,f17,f21,f19,f14,f5,f8,f43,f7,f4343,f9,f4344,f13,f15,f33,f31,f4370,f4369,f4357,f4345]) ).

fof(f4534,plain,
    ( spl0_2
    | spl0_4
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f4533]) ).

fof(f4533,plain,
    ( $false
    | spl0_2
    | spl0_4
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f4348,f6,f1,f2,f4,f3,f60,f208,f36,f24,f22,f18,f16,f12,f10,f28,f30,f378,f204,f402,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f956,f1422,f2268,f2274,f2278,f2280,f32,f26,f29,f27,f25,f23,f3997,f1644,f886,f874,f854,f1464,f1620,f1384,f1375,f1068,f1061,f1048,f1326,f1320,f1599,f1181,f1627,f1626,f1592,f1590,f1588,f1356,f1594,f1583,f1523,f1218,f1080,f1003,f1002,f992,f991,f1655,f1654,f768,f762,f686,f685,f675,f674,f634,f631,f20,f11,f17,f21,f19,f14,f5,f8,f43,f7,f4343,f9,f4344,f13,f4345,f15,f33,f31,f4370,f4369,f4357]) ).

fof(f4348,plain,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | spl0_2
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f4347,f6,f1,f2,f4,f3,f60,f208,f36,f24,f22,f18,f16,f12,f10,f28,f30,f204,f402,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f956,f1422,f2268,f2274,f2278,f2280,f32,f26,f29,f31,f33,f27,f25,f23,f3997,f1644,f886,f874,f854,f1464,f1620,f1384,f1375,f1068,f1061,f1048,f1326,f1320,f1599,f1181,f1627,f1626,f1592,f1590,f1588,f1356,f1594,f1583,f1523,f1218,f1080,f1003,f1002,f992,f991,f1655,f1654,f768,f762,f686,f685,f675,f674,f634,f631,f20,f11,f15,f17,f21,f19,f14,f5,f8,f43,f7,f4343,f9,f4344,f13,f4345]) ).

fof(f4347,plain,
    ( sk_c8 = sk_c7
    | sk_c7 = multiply(sk_c5,sk_c6)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f4346,f654]) ).

fof(f4346,plain,
    ( sk_c7 = multiply(sk_c8,identity)
    | sk_c7 = multiply(sk_c5,sk_c6)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f19,f1746]) ).

fof(f4532,plain,
    ( spl0_2
    | spl0_4
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f4531]) ).

fof(f4531,plain,
    ( $false
    | spl0_2
    | spl0_4
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f4351,f6,f1,f2,f4,f3,f60,f208,f36,f24,f22,f18,f16,f12,f10,f28,f30,f378,f204,f402,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f956,f1422,f2268,f2274,f2278,f2280,f32,f26,f29,f27,f25,f23,f3997,f1644,f886,f874,f854,f1464,f1620,f1384,f1375,f1068,f1061,f1048,f1326,f1320,f1599,f1181,f1627,f1626,f1592,f1590,f1588,f1356,f1594,f1583,f1523,f1218,f1080,f1003,f1002,f992,f991,f1655,f1654,f768,f762,f686,f685,f675,f674,f634,f631,f20,f11,f17,f21,f19,f14,f5,f8,f43,f7,f4343,f9,f4344,f13,f4345,f15,f33,f31,f4370,f4369,f4357]) ).

fof(f4351,plain,
    ( sk_c7 = multiply(sk_c6,sk_c8)
    | spl0_2
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f4350,f6,f1,f2,f4,f3,f60,f208,f36,f24,f22,f18,f16,f12,f10,f28,f30,f204,f402,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f956,f1422,f2268,f2274,f2278,f2280,f32,f26,f29,f31,f33,f27,f25,f23,f3997,f1644,f886,f874,f854,f1464,f1620,f1384,f1375,f1068,f1061,f1048,f1326,f1320,f1599,f1181,f1627,f1626,f1592,f1590,f1588,f1356,f1594,f1583,f1523,f1218,f1080,f1003,f1002,f992,f991,f1655,f1654,f768,f762,f686,f685,f675,f674,f634,f631,f20,f11,f15,f17,f21,f19,f14,f5,f8,f43,f7,f4343,f9,f4344,f13,f4345]) ).

fof(f4350,plain,
    ( sk_c8 = sk_c7
    | sk_c7 = multiply(sk_c6,sk_c8)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f4349,f654]) ).

fof(f4349,plain,
    ( sk_c7 = multiply(sk_c8,identity)
    | sk_c7 = multiply(sk_c6,sk_c8)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f21,f1746]) ).

fof(f4530,plain,
    ( spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f4529]) ).

fof(f4529,plain,
    ( $false
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f6,f1,f2,f4,f3,f60,f208,f36,f24,f22,f18,f16,f12,f10,f28,f30,f378,f204,f402,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f956,f1422,f2268,f2274,f2278,f2280,f32,f26,f29,f27,f25,f23,f3997,f1644,f886,f874,f854,f1464,f1620,f1384,f1375,f1068,f1061,f1048,f1326,f1320,f1599,f1181,f1627,f1626,f1592,f1590,f1588,f1356,f1594,f1583,f1523,f1218,f1080,f1003,f1002,f992,f991,f1655,f1654,f768,f762,f686,f685,f675,f674,f634,f631,f20,f11,f17,f21,f19,f14,f5,f8,f43,f7,f4343,f9,f4344,f13,f4345,f15,f33,f31,f4370,f4369,f4357]) ).

fof(f4528,plain,
    ( spl0_2
    | spl0_4
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f4527]) ).

fof(f4527,plain,
    ( $false
    | spl0_2
    | spl0_4
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f4366,f6,f1,f2,f4,f3,f60,f208,f36,f24,f22,f18,f16,f12,f10,f28,f30,f378,f204,f402,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f956,f1422,f2268,f2274,f2278,f2280,f32,f26,f29,f27,f25,f23,f3997,f1644,f886,f874,f854,f1464,f1620,f1384,f1375,f1068,f1061,f1048,f1326,f1320,f1599,f1181,f1627,f1626,f1592,f1590,f1588,f1356,f1594,f1583,f1523,f1218,f1080,f1003,f1002,f992,f991,f1655,f1654,f768,f762,f686,f685,f675,f674,f634,f631,f20,f11,f17,f21,f19,f14,f5,f8,f43,f7,f4343,f9,f4344,f13,f4345,f15,f4357,f33,f31,f4370,f4369]) ).

fof(f4366,plain,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | spl0_2
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f4365,f6,f1,f2,f4,f3,f60,f208,f36,f24,f22,f18,f16,f12,f10,f28,f30,f204,f402,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f956,f1422,f2268,f2274,f2278,f2280,f32,f26,f29,f31,f33,f27,f25,f23,f3997,f1644,f886,f874,f854,f1464,f1620,f1384,f1375,f1068,f1061,f1048,f1326,f1320,f1599,f1181,f1627,f1626,f1592,f1590,f1588,f1356,f1594,f1583,f1523,f1218,f1080,f1003,f1002,f992,f991,f1655,f1654,f768,f762,f686,f685,f675,f674,f634,f631,f20,f11,f17,f21,f19,f14,f5,f8,f43,f7,f4343,f9,f4344,f13,f4345,f15,f4357]) ).

fof(f4365,plain,
    ( identity = multiply(sk_c2,sk_c8)
    | sk_c7 = multiply(sk_c5,sk_c6)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f25,f1746]) ).

fof(f4526,plain,
    ( spl0_2
    | spl0_4
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f4525]) ).

fof(f4525,plain,
    ( $false
    | spl0_2
    | spl0_4
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f4368,f6,f1,f2,f4,f3,f60,f208,f36,f24,f22,f18,f16,f12,f10,f28,f30,f378,f204,f402,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f956,f1422,f2268,f2274,f2278,f2280,f32,f26,f29,f27,f25,f23,f3997,f1644,f886,f874,f854,f1464,f1620,f1384,f1375,f1068,f1061,f1048,f1326,f1320,f1599,f1181,f1627,f1626,f1592,f1590,f1588,f1356,f1594,f1583,f1523,f1218,f1080,f1003,f1002,f992,f991,f1655,f1654,f768,f762,f686,f685,f675,f674,f634,f631,f20,f11,f17,f21,f19,f14,f5,f8,f43,f7,f4343,f9,f4344,f13,f4345,f15,f4357,f33,f31,f4370,f4369]) ).

fof(f4368,plain,
    ( sk_c7 = multiply(sk_c6,sk_c8)
    | spl0_2
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f4367,f6,f1,f2,f4,f3,f60,f208,f36,f24,f22,f18,f16,f12,f10,f28,f30,f204,f402,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f956,f1422,f2268,f2274,f2278,f2280,f32,f26,f29,f31,f33,f27,f25,f23,f3997,f1644,f886,f874,f854,f1464,f1620,f1384,f1375,f1068,f1061,f1048,f1326,f1320,f1599,f1181,f1627,f1626,f1592,f1590,f1588,f1356,f1594,f1583,f1523,f1218,f1080,f1003,f1002,f992,f991,f1655,f1654,f768,f762,f686,f685,f675,f674,f634,f631,f20,f11,f17,f21,f19,f14,f5,f8,f43,f7,f4343,f9,f4344,f13,f4345,f15,f4357]) ).

fof(f4367,plain,
    ( identity = multiply(sk_c2,sk_c8)
    | sk_c7 = multiply(sk_c6,sk_c8)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f27,f1746]) ).

fof(f4524,plain,
    ( spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f4523]) ).

fof(f4523,plain,
    ( $false
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f6,f1,f2,f4,f3,f60,f208,f36,f24,f22,f18,f16,f12,f10,f28,f30,f378,f204,f402,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f956,f1422,f2268,f2274,f2278,f2280,f32,f26,f29,f27,f25,f23,f3997,f1644,f886,f874,f854,f1464,f1620,f1384,f1375,f1068,f1061,f1048,f1326,f1320,f1599,f1181,f1627,f1626,f1592,f1590,f1588,f1356,f1594,f1583,f1523,f1218,f1080,f1003,f1002,f992,f991,f1655,f1654,f768,f762,f686,f685,f675,f674,f634,f631,f20,f11,f17,f21,f19,f14,f5,f8,f43,f7,f4343,f9,f4344,f13,f4345,f15,f4357,f33,f31,f4370,f4369]) ).

fof(f4522,plain,
    ( spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f4521]) ).

fof(f4521,plain,
    ( $false
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f6,f1,f2,f4,f3,f60,f208,f36,f24,f22,f18,f16,f12,f10,f28,f30,f378,f204,f402,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f956,f1422,f2268,f2274,f2278,f2280,f32,f26,f29,f27,f25,f23,f3997,f1644,f886,f874,f854,f1464,f1620,f1384,f1375,f1068,f1061,f1048,f1326,f1320,f1599,f1181,f1627,f1626,f1592,f1590,f1588,f1356,f1594,f1583,f1523,f1218,f1080,f1003,f1002,f992,f991,f1655,f1654,f768,f762,f686,f685,f675,f674,f634,f631,f20,f11,f17,f21,f19,f14,f5,f8,f43,f7,f4343,f9,f4344,f13,f4345,f15,f4357,f33,f4369,f31,f4370]) ).

fof(f4520,plain,
    ( spl0_2
    | spl0_4
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f4519]) ).

fof(f4519,plain,
    ( $false
    | spl0_2
    | spl0_4
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f4032,f6,f1,f2,f4,f3,f60,f208,f36,f24,f22,f18,f16,f12,f10,f28,f30,f378,f204,f402,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f956,f1422,f2268,f2274,f2278,f2280,f32,f26,f29,f27,f25,f23,f3997,f1644,f886,f874,f854,f1464,f1620,f1384,f1375,f1068,f1061,f1048,f1326,f1320,f1599,f1181,f1627,f1626,f1592,f1590,f1588,f1356,f1594,f1583,f1523,f1218,f1080,f1003,f1002,f992,f991,f1655,f1654,f768,f762,f686,f685,f675,f674,f634,f631,f20,f11,f17,f21,f19,f14,f5,f8,f43,f7,f4343,f9,f4344,f13,f4345,f15,f4357,f33,f4369,f31,f4370]) ).

fof(f4032,plain,
    ( identity = multiply(sk_c6,sk_c5)
    | ~ spl0_8 ),
    inference(superposition,[],[f2,f1742]) ).

fof(f4518,plain,
    ( spl0_2
    | spl0_4
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f4517]) ).

fof(f4517,plain,
    ( $false
    | spl0_2
    | spl0_4
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f4037,f6,f1,f2,f4,f3,f60,f208,f36,f24,f22,f18,f16,f12,f10,f28,f30,f378,f204,f402,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f956,f1422,f2268,f2274,f2278,f2280,f32,f26,f29,f27,f25,f23,f3997,f1644,f886,f874,f854,f1464,f1620,f1384,f1375,f1068,f1061,f1048,f1326,f1320,f1599,f1181,f1627,f1626,f1592,f1590,f1588,f1356,f1594,f1583,f1523,f1218,f1080,f1003,f1002,f992,f991,f1655,f1654,f768,f762,f686,f685,f675,f674,f634,f631,f20,f11,f17,f21,f19,f14,f5,f8,f43,f7,f4343,f9,f4344,f13,f4345,f15,f4357,f33,f4369,f31,f4370]) ).

fof(f4037,plain,
    ( identity = multiply(sk_c5,sk_c6)
    | ~ spl0_8 ),
    inference(superposition,[],[f652,f1742]) ).

fof(f4516,plain,
    ( spl0_2
    | spl0_4
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f4515]) ).

fof(f4515,plain,
    ( $false
    | spl0_2
    | spl0_4
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f4044,f6,f1,f2,f4,f3,f60,f208,f36,f24,f22,f18,f16,f12,f10,f28,f30,f378,f204,f402,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f956,f1422,f2268,f2274,f2278,f2280,f32,f26,f29,f27,f25,f23,f3997,f1644,f886,f874,f854,f1464,f1620,f1384,f1375,f1068,f1061,f1048,f1326,f1320,f1599,f1181,f1627,f1626,f1592,f1590,f1588,f1356,f1594,f1583,f1523,f1218,f1080,f1003,f1002,f992,f991,f1655,f1654,f768,f762,f686,f685,f675,f674,f634,f631,f20,f11,f17,f21,f19,f14,f5,f8,f43,f7,f4343,f9,f4344,f13,f4345,f15,f4357,f33,f4369,f31,f4370]) ).

fof(f4044,plain,
    ( identity = multiply(sk_c6,sk_c5)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f4036,f672]) ).

fof(f4036,plain,
    ( identity = multiply(inverse(inverse(sk_c6)),sk_c5)
    | ~ spl0_8 ),
    inference(superposition,[],[f583,f1742]) ).

fof(f4514,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f4513]) ).

fof(f4513,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f4005,f6,f1,f2,f4,f3,f60,f208,f36,f24,f22,f18,f16,f12,f10,f28,f30,f378,f204,f402,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f956,f1422,f2268,f2274,f2278,f2280,f32,f26,f29,f27,f25,f23,f3997,f1644,f886,f874,f854,f1464,f1620,f1384,f1375,f1068,f1061,f1048,f1326,f1320,f1599,f1181,f1627,f1626,f1592,f1590,f1588,f1356,f1594,f1583,f1523,f1218,f1080,f1003,f1002,f992,f991,f1655,f1654,f768,f762,f686,f685,f675,f674,f634,f631,f20,f11,f17,f21,f19,f14,f5,f8,f43,f7,f4343,f9,f4344,f13,f4345,f15,f4357,f33,f4369,f31,f4370]) ).

fof(f4005,plain,
    ( ! [X3,X6,X7,X5] :
        ( identity != sk_c7
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X6)
        | identity != multiply(X6,sk_c8)
        | identity != multiply(inverse(X7),sk_c8)
        | identity != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c8 != multiply(X3,identity) )
    | ~ spl0_1 ),
    inference(inner_rewriting,[],[f4004]) ).

fof(f4004,plain,
    ( ! [X3,X6,X7,X5] :
        ( identity != sk_c7
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X6)
        | sk_c7 != multiply(X6,sk_c8)
        | sk_c7 != multiply(inverse(X7),sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c8 != multiply(X3,sk_c7) )
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f738,f652]) ).

fof(f738,plain,
    ( ! [X3,X6,X7,X5] :
        ( sk_c8 != inverse(X3)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X6)
        | sk_c7 != multiply(X6,sk_c8)
        | sk_c7 != multiply(inverse(X7),sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c7 != multiply(X7,inverse(X7))
        | sk_c8 != multiply(X3,sk_c7) )
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f36,f40]) ).

fof(f4512,plain,
    ( spl0_2
    | spl0_4
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f4511]) ).

fof(f4511,plain,
    ( $false
    | spl0_2
    | spl0_4
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f4106,f6,f1,f2,f4,f3,f60,f208,f36,f24,f22,f18,f16,f12,f10,f28,f30,f378,f204,f402,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f956,f1422,f2268,f2274,f2278,f2280,f32,f26,f29,f27,f25,f23,f3997,f1644,f886,f874,f854,f1464,f1620,f1384,f1375,f1068,f1061,f1048,f1326,f1320,f1599,f1181,f1627,f1626,f1592,f1590,f1588,f1356,f1594,f1583,f1523,f1218,f1080,f1003,f1002,f992,f991,f1655,f1654,f768,f762,f686,f685,f675,f674,f634,f631,f20,f11,f17,f21,f19,f14,f5,f8,f43,f7,f4343,f9,f4344,f13,f4345,f15,f4357,f33,f4369,f31,f4370]) ).

fof(f4106,plain,
    ( identity = multiply(sk_c5,sk_c6)
    | ~ spl0_8 ),
    inference(superposition,[],[f2,f1755]) ).

fof(f4510,plain,
    ( spl0_2
    | spl0_4
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f4509]) ).

fof(f4509,plain,
    ( $false
    | spl0_2
    | spl0_4
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f4111,f6,f1,f2,f4,f3,f60,f208,f36,f24,f22,f18,f16,f12,f10,f28,f30,f378,f204,f402,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f956,f1422,f2268,f2274,f2278,f2280,f32,f26,f29,f27,f25,f23,f3997,f1644,f886,f874,f854,f1464,f1620,f1384,f1375,f1068,f1061,f1048,f1326,f1320,f1599,f1181,f1627,f1626,f1592,f1590,f1588,f1356,f1594,f1583,f1523,f1218,f1080,f1003,f1002,f992,f991,f1655,f1654,f768,f762,f686,f685,f675,f674,f634,f631,f20,f11,f17,f21,f19,f14,f5,f8,f43,f7,f4343,f9,f4344,f13,f4345,f15,f4357,f33,f4369,f31,f4370]) ).

fof(f4111,plain,
    ( identity = multiply(sk_c6,sk_c5)
    | ~ spl0_8 ),
    inference(superposition,[],[f652,f1755]) ).

fof(f4508,plain,
    ( spl0_2
    | spl0_4
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f4507]) ).

fof(f4507,plain,
    ( $false
    | spl0_2
    | spl0_4
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f4119,f6,f1,f2,f4,f3,f60,f208,f36,f24,f22,f18,f16,f12,f10,f28,f30,f378,f204,f402,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f956,f1422,f2268,f2274,f2278,f2280,f32,f26,f29,f27,f25,f23,f3997,f1644,f886,f874,f854,f1464,f1620,f1384,f1375,f1068,f1061,f1048,f1326,f1320,f1599,f1181,f1627,f1626,f1592,f1590,f1588,f1356,f1594,f1583,f1523,f1218,f1080,f1003,f1002,f992,f991,f1655,f1654,f768,f762,f686,f685,f675,f674,f634,f631,f20,f11,f17,f21,f19,f14,f5,f8,f43,f7,f4343,f9,f4344,f13,f4345,f15,f4357,f33,f4369,f31,f4370]) ).

fof(f4119,plain,
    ( identity = multiply(sk_c5,sk_c6)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f4110,f672]) ).

fof(f4110,plain,
    ( identity = multiply(inverse(inverse(sk_c5)),sk_c6)
    | ~ spl0_8 ),
    inference(superposition,[],[f583,f1755]) ).

fof(f4506,plain,
    ( spl0_5
    | spl0_6
    | spl0_7
    | spl0_5
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f4501,f377,f42,f38,f1571,f1577,f1574,f1571]) ).

fof(f1574,plain,
    ( spl0_6
  <=> ! [X7] : identity != multiply(inverse(X7),identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f1577,plain,
    ( spl0_7
  <=> ! [X5] :
        ( identity != multiply(identity,X5)
        | identity != inverse(X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f1571,plain,
    ( spl0_5
  <=> ! [X6] :
        ( identity != multiply(X6,identity)
        | identity != inverse(X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f4501,plain,
    ( ! [X3,X6,X7,X5] :
        ( identity != multiply(X3,identity)
        | identity != multiply(identity,X5)
        | identity != multiply(inverse(X7),identity)
        | identity != multiply(X6,identity)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X3) )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f4500,f4381]) ).

fof(f4381,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f4377,f2]) ).

fof(f4377,plain,
    ( sk_c8 = multiply(inverse(identity),identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4 ),
    inference(superposition,[],[f328,f4342]) ).

fof(f4342,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4 ),
    inference(global_subsumption,[],[f6,f1,f2,f4,f3,f60,f208,f36,f24,f22,f18,f16,f12,f10,f28,f40,f327,f330,f328,f326,f343,f335,f366,f368,f30,f204,f402,f337,f410,f411,f406,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f956,f379,f1422,f2268,f2274,f2278,f2280,f32,f26,f29,f31,f33,f27,f25,f23,f1693,f1696,f1695,f2251,f2264,f3997,f2250,f1644,f886,f874,f854,f1464,f1620,f1384,f1375,f1068,f1061,f1048,f1326,f1320,f1599,f1181,f1627,f1626,f1592,f1590,f1588,f1356,f1697,f1688,f1594,f1583,f1523,f1218,f1080,f1003,f1002,f992,f991,f1655,f1654,f768,f762,f686,f685,f675,f674,f634,f631,f1702,f1692,f1687,f1000,f1703,f1700,f20,f11,f15,f17,f21,f4004,f1636,f881,f1613,f1056,f4007,f1182,f1189,f1306,f1359,f1372,f1388,f1480,f4009,f1467,f1385,f1376,f1354,f1210,f1204,f1072,f1069,f1062,f887,f882,f843,f838,f799,f19,f13,f14,f4017,f414,f408,f9,f7,f5,f8,f3998,f989,f4005,f1343,f1559,f1220,f1622,f721,f4028,f4012,f4011,f681,f670,f43,f4341]) ).

fof(f4341,plain,
    ( identity = sk_c7
    | inverse(sk_c1) = sk_c8
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f4340,f327]) ).

fof(f4340,plain,
    ( sk_c7 = multiply(sk_c7,sk_c8)
    | inverse(sk_c1) = sk_c8
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f5,f3998]) ).

fof(f4028,plain,
    ( sk_c8 = inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(superposition,[],[f379,f3998]) ).

fof(f989,plain,
    ( identity = inverse(identity)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f892,f327]) ).

fof(f892,plain,
    ( identity = inverse(multiply(sk_c7,sk_c8))
    | ~ spl0_1 ),
    inference(superposition,[],[f767,f326]) ).

fof(f3998,plain,
    ( sk_c7 = sk_c4
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f1698,f654]) ).

fof(f1698,plain,
    ( sk_c4 = multiply(sk_c7,identity)
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f1689,f40]) ).

fof(f1689,plain,
    ( sk_c4 = multiply(inverse(sk_c8),identity)
    | ~ spl0_4 ),
    inference(superposition,[],[f205,f379]) ).

fof(f408,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f337,f60]) ).

fof(f414,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f60,f337]) ).

fof(f4017,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f422,f1]) ).

fof(f422,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c7,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f406]) ).

fof(f799,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f655,f40]) ).

fof(f838,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f816,f217]) ).

fof(f816,plain,
    ( ! [X0] : multiply(sk_c8,multiply(inverse(inverse(sk_c7)),X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f655,f337]) ).

fof(f843,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f822,f217]) ).

fof(f822,plain,
    ( ! [X0] : multiply(sk_c8,multiply(inverse(inverse(sk_c7)),X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f337,f655]) ).

fof(f882,plain,
    ( identity = multiply(sk_c8,multiply(sk_c7,inverse(identity)))
    | ~ spl0_1 ),
    inference(superposition,[],[f767,f406]) ).

fof(f887,plain,
    ( ! [X0] : identity = multiply(X0,multiply(sk_c8,inverse(multiply(X0,inverse(sk_c7)))))
    | ~ spl0_1 ),
    inference(superposition,[],[f767,f337]) ).

fof(f1062,plain,
    ( ! [X0] : inverse(X0) = multiply(sk_c8,inverse(multiply(X0,inverse(sk_c7))))
    | ~ spl0_1 ),
    inference(superposition,[],[f1021,f337]) ).

fof(f1069,plain,
    ( ! [X0] : inverse(X0) = multiply(sk_c8,inverse(multiply(X0,inverse(sk_c7))))
    | ~ spl0_1 ),
    inference(superposition,[],[f337,f1021]) ).

fof(f1072,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c8)) = multiply(sk_c7,inverse(X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f326,f1021]) ).

fof(f1204,plain,
    ( sk_c8 = multiply(identity,inverse(sk_c7))
    | ~ spl0_1 ),
    inference(superposition,[],[f1110,f406]) ).

fof(f1210,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c8),sk_c7) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f1110,f40]) ).

fof(f1354,plain,
    ( ! [X0] : sk_c8 = multiply(X0,inverse(multiply(sk_c7,X0)))
    | ~ spl0_1 ),
    inference(superposition,[],[f1025,f40]) ).

fof(f1376,plain,
    ( ! [X0] : multiply(sk_c8,inverse(multiply(inverse(X0),inverse(sk_c7)))) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f1025,f337]) ).

fof(f1385,plain,
    ( ! [X0] : multiply(sk_c8,inverse(multiply(inverse(X0),inverse(sk_c7)))) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f337,f1025]) ).

fof(f1467,plain,
    ( ! [X0] : inverse(X0) = multiply(inverse(multiply(sk_c8,X0)),inverse(sk_c7))
    | ~ spl0_1 ),
    inference(superposition,[],[f1114,f337]) ).

fof(f4009,plain,
    ( identity = inverse(identity)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f4008,f652]) ).

fof(f4008,plain,
    ( inverse(identity) = multiply(sk_c7,inverse(sk_c7))
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1473,f40]) ).

fof(f1473,plain,
    ( inverse(identity) = multiply(inverse(sk_c8),inverse(sk_c7))
    | ~ spl0_1 ),
    inference(superposition,[],[f1114,f328]) ).

fof(f1480,plain,
    ( ! [X0] : inverse(multiply(sk_c8,X0)) = multiply(inverse(X0),sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f1114,f326]) ).

fof(f1388,plain,
    ( ! [X0] : multiply(sk_c7,X0) = inverse(multiply(inverse(X0),sk_c8))
    | ~ spl0_1 ),
    inference(superposition,[],[f326,f1025]) ).

fof(f1372,plain,
    ( inverse(sk_c7) = multiply(sk_c8,inverse(identity))
    | ~ spl0_1 ),
    inference(superposition,[],[f1025,f335]) ).

fof(f1359,plain,
    ( ! [X0] : sk_c7 = multiply(X0,inverse(multiply(sk_c8,X0)))
    | ~ spl0_1 ),
    inference(superposition,[],[f1025,f337]) ).

fof(f1306,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c7),sk_c8) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f1208,f40]) ).

fof(f1189,plain,
    ( ! [X0] : sk_c7 = multiply(X0,inverse(multiply(sk_c8,X0)))
    | ~ spl0_1 ),
    inference(superposition,[],[f1110,f326]) ).

fof(f1182,plain,
    ( inverse(sk_c7) = multiply(sk_c8,inverse(identity))
    | ~ spl0_1 ),
    inference(superposition,[],[f1110,f328]) ).

fof(f4007,plain,
    ( sk_c7 = multiply(sk_c7,inverse(identity))
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1057,f40]) ).

fof(f1057,plain,
    ( inverse(sk_c8) = multiply(sk_c7,inverse(identity))
    | ~ spl0_1 ),
    inference(superposition,[],[f1021,f406]) ).

fof(f1056,plain,
    ( inverse(sk_c7) = multiply(sk_c8,inverse(identity))
    | ~ spl0_1 ),
    inference(superposition,[],[f1021,f327]) ).

fof(f1613,plain,
    ( inverse(sk_c7) = multiply(sk_c8,inverse(identity))
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1053,f672]) ).

fof(f1053,plain,
    ( inverse(inverse(inverse(sk_c7))) = multiply(sk_c8,inverse(identity))
    | ~ spl0_1 ),
    inference(superposition,[],[f1021,f335]) ).

fof(f881,plain,
    ( identity = multiply(sk_c7,multiply(sk_c8,inverse(identity)))
    | ~ spl0_1 ),
    inference(superposition,[],[f767,f327]) ).

fof(f1636,plain,
    ( identity = multiply(sk_c7,multiply(sk_c8,inverse(identity)))
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f878,f672]) ).

fof(f878,plain,
    ( identity = multiply(inverse(inverse(sk_c7)),multiply(sk_c8,inverse(identity)))
    | ~ spl0_1 ),
    inference(superposition,[],[f767,f335]) ).

fof(f1700,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c4,X0)
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f1690,f40]) ).

fof(f1690,plain,
    ( ! [X0] : multiply(inverse(sk_c8),X0) = multiply(sk_c4,X0)
    | ~ spl0_4 ),
    inference(superposition,[],[f217,f379]) ).

fof(f1703,plain,
    ( sk_c7 = sk_c4
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f1694,f40]) ).

fof(f1694,plain,
    ( inverse(sk_c8) = sk_c4
    | ~ spl0_4 ),
    inference(superposition,[],[f672,f379]) ).

fof(f1000,plain,
    ( identity = inverse(identity)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f903,f327]) ).

fof(f903,plain,
    ( identity = inverse(multiply(sk_c7,sk_c8))
    | ~ spl0_1 ),
    inference(superposition,[],[f326,f767]) ).

fof(f1687,plain,
    ( identity = multiply(sk_c8,sk_c4)
    | ~ spl0_4 ),
    inference(superposition,[],[f2,f379]) ).

fof(f1692,plain,
    ( identity = multiply(sk_c4,sk_c8)
    | ~ spl0_4 ),
    inference(superposition,[],[f652,f379]) ).

fof(f1702,plain,
    ( identity = multiply(sk_c8,sk_c4)
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f1691,f672]) ).

fof(f1691,plain,
    ( identity = multiply(inverse(inverse(sk_c8)),sk_c4)
    | ~ spl0_4 ),
    inference(superposition,[],[f583,f379]) ).

fof(f1688,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c4,X0)) = X0
    | ~ spl0_4 ),
    inference(superposition,[],[f60,f379]) ).

fof(f1697,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c8),sk_c4) = X0
    | ~ spl0_4 ),
    inference(superposition,[],[f1208,f379]) ).

fof(f2250,plain,
    ( ! [X0] : sk_c8 = multiply(inverse(multiply(X0,sk_c7)),X0)
    | ~ spl0_1 ),
    inference(superposition,[],[f1422,f40]) ).

fof(f2264,plain,
    ( ! [X0] : multiply(inverse(multiply(sk_c8,inverse(X0))),inverse(sk_c7)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f1422,f337]) ).

fof(f2251,plain,
    ( ! [X0] : sk_c4 = multiply(inverse(multiply(X0,sk_c8)),X0)
    | ~ spl0_4 ),
    inference(superposition,[],[f1422,f379]) ).

fof(f1695,plain,
    ( ! [X0] : sk_c4 = multiply(X0,inverse(multiply(sk_c8,X0)))
    | ~ spl0_4 ),
    inference(superposition,[],[f1025,f379]) ).

fof(f1696,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c4),sk_c8) = X0
    | ~ spl0_4 ),
    inference(superposition,[],[f1110,f379]) ).

fof(f1693,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c8,X0)) = X0
    | ~ spl0_4 ),
    inference(superposition,[],[f655,f379]) ).

fof(f379,plain,
    ( sk_c8 = inverse(sk_c4)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f377]) ).

fof(f411,plain,
    ( ! [X0] : multiply(inverse(inverse(sk_c7)),multiply(sk_c8,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f60,f337]) ).

fof(f410,plain,
    ( identity = multiply(sk_c8,sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f337]) ).

fof(f368,plain,
    ( ! [X0] : multiply(inverse(inverse(sk_c7)),multiply(sk_c8,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f367,f1]) ).

fof(f367,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(sk_c7)),multiply(sk_c8,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f335]) ).

fof(f366,plain,
    ( sk_c8 = multiply(inverse(inverse(inverse(sk_c7))),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f60,f335]) ).

fof(f335,plain,
    ( identity = multiply(inverse(inverse(sk_c7)),sk_c8)
    | ~ spl0_1 ),
    inference(superposition,[],[f60,f328]) ).

fof(f343,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(sk_c7),X0)
    | ~ spl0_1 ),
    inference(superposition,[],[f60,f326]) ).

fof(f330,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f329,f1]) ).

fof(f329,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c8,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f327]) ).

fof(f4500,plain,
    ( ! [X3,X6,X7,X5] :
        ( identity != multiply(identity,X5)
        | identity != multiply(inverse(X7),identity)
        | identity != multiply(X6,identity)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X3)
        | sk_c8 != multiply(X3,identity) )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f4499,f654]) ).

fof(f4499,plain,
    ( ! [X3,X6,X7,X5] :
        ( identity != multiply(identity,multiply(X5,identity))
        | identity != multiply(inverse(X7),identity)
        | identity != multiply(X6,identity)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X3)
        | sk_c8 != multiply(X3,identity) )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f4498,f4381]) ).

fof(f4498,plain,
    ( ! [X3,X6,X7,X5] :
        ( identity != multiply(inverse(X7),identity)
        | identity != multiply(X6,identity)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X3)
        | identity != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c8 != multiply(X3,identity) )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f4497,f4381]) ).

fof(f4497,plain,
    ( ! [X3,X6,X7,X5] :
        ( identity != multiply(X6,identity)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X3)
        | identity != multiply(inverse(X7),sk_c8)
        | identity != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c8 != multiply(X3,identity) )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f4496,f4381]) ).

fof(f4496,plain,
    ( ! [X3,X6,X7,X5] :
        ( identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X3)
        | identity != multiply(X6,sk_c8)
        | identity != multiply(inverse(X7),sk_c8)
        | identity != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c8 != multiply(X3,identity) )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f4495,f4381]) ).

fof(f4495,plain,
    ( ! [X3,X6,X7,X5] :
        ( identity != inverse(X5)
        | identity != inverse(X3)
        | sk_c8 != inverse(X6)
        | identity != multiply(X6,sk_c8)
        | identity != multiply(inverse(X7),sk_c8)
        | identity != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c8 != multiply(X3,identity) )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f4494,f4381]) ).

fof(f4494,plain,
    ( ! [X3,X6,X7,X5] :
        ( identity != inverse(X3)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X6)
        | identity != multiply(X6,sk_c8)
        | identity != multiply(inverse(X7),sk_c8)
        | identity != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c8 != multiply(X3,identity) )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f4493,f4381]) ).

fof(f4493,plain,
    ( ! [X3,X6,X7,X5] :
        ( sk_c8 != inverse(X3)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X6)
        | identity != multiply(X6,sk_c8)
        | identity != multiply(inverse(X7),sk_c8)
        | identity != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c8 != multiply(X3,identity) )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f4005,f4342]) ).

fof(f4338,plain,
    ( spl0_5
    | spl0_6
    | spl0_7
    | spl0_5
    | ~ spl0_1
    | spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f4322,f377,f373,f38,f1571,f1577,f1574,f1571]) ).

fof(f4322,plain,
    ( ! [X3,X6,X7,X5] :
        ( identity != multiply(X3,identity)
        | identity != multiply(identity,X5)
        | identity != multiply(inverse(X7),identity)
        | identity != multiply(X6,identity)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X3) )
    | ~ spl0_1
    | spl0_3
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f4321,f4225]) ).

fof(f4225,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | spl0_3
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f4221,f2]) ).

fof(f4221,plain,
    ( sk_c8 = multiply(inverse(identity),identity)
    | ~ spl0_1
    | spl0_3
    | ~ spl0_4 ),
    inference(superposition,[],[f328,f4208]) ).

fof(f4208,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | spl0_3
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f4207,f327]) ).

fof(f4207,plain,
    ( sk_c7 = multiply(sk_c7,sk_c8)
    | ~ spl0_1
    | spl0_3
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f4020,f3998]) ).

fof(f4020,plain,
    ( sk_c7 = multiply(sk_c4,sk_c8)
    | spl0_3 ),
    inference(global_subsumption,[],[f8,f6,f1,f2,f4,f3,f60,f208,f36,f24,f22,f18,f16,f12,f10,f28,f30,f204,f402,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f956,f1422,f2268,f2274,f2278,f2280,f32,f374,f26,f29,f3991,f31,f3992,f33,f3993,f27,f3994,f25,f3995,f23,f3996,f3997,f1644,f886,f874,f854,f1464,f1620,f1384,f1375,f1068,f1061,f1048,f1326,f1320,f1599,f1181,f1627,f1626,f1592,f1590,f1588,f1356,f1594,f1583,f1523,f1218,f1080,f1003,f1002,f992,f991,f1655,f1654,f768,f762,f686,f685,f675,f674,f634,f631,f20,f11,f4000,f15,f4001,f17,f4002,f21,f4003,f19,f4013,f13,f4014,f14,f9,f4018,f7,f4019,f5]) ).

fof(f4019,plain,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | spl0_3 ),
    inference(global_subsumption,[],[f8,f6,f5,f1,f2,f4,f3,f60,f208,f36,f24,f22,f18,f16,f12,f10,f28,f30,f204,f402,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f956,f1422,f2268,f2274,f2278,f2280,f32,f374,f26,f29,f3991,f31,f3992,f33,f3993,f27,f3994,f25,f3995,f23,f3996,f3997,f1644,f886,f874,f854,f1464,f1620,f1384,f1375,f1068,f1061,f1048,f1326,f1320,f1599,f1181,f1627,f1626,f1592,f1590,f1588,f1356,f1594,f1583,f1523,f1218,f1080,f1003,f1002,f992,f991,f1655,f1654,f768,f762,f686,f685,f675,f674,f634,f631,f20,f11,f4000,f15,f4001,f17,f4002,f21,f4003,f19,f4013,f13,f4014,f14,f9,f4018,f7]) ).

fof(f4018,plain,
    ( sk_c7 = multiply(sk_c6,sk_c8)
    | spl0_3 ),
    inference(global_subsumption,[],[f8,f6,f7,f5,f1,f2,f4,f3,f60,f208,f36,f24,f22,f18,f16,f12,f10,f28,f30,f204,f402,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f956,f1422,f2268,f2274,f2278,f2280,f32,f374,f26,f29,f3991,f31,f3992,f33,f3993,f27,f3994,f25,f3995,f23,f3996,f3997,f1644,f886,f874,f854,f1464,f1620,f1384,f1375,f1068,f1061,f1048,f1326,f1320,f1599,f1181,f1627,f1626,f1592,f1590,f1588,f1356,f1594,f1583,f1523,f1218,f1080,f1003,f1002,f992,f991,f1655,f1654,f768,f762,f686,f685,f675,f674,f634,f631,f20,f11,f4000,f15,f4001,f17,f4002,f21,f4003,f19,f4013,f13,f4014,f14,f9]) ).

fof(f4014,plain,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | spl0_3 ),
    inference(global_subsumption,[],[f8,f6,f7,f5,f9,f1,f2,f4,f3,f60,f208,f36,f24,f22,f18,f16,f14,f12,f10,f28,f30,f204,f402,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f956,f1422,f2268,f2274,f2278,f2280,f32,f374,f26,f29,f3991,f31,f3992,f33,f3993,f27,f3994,f25,f3995,f23,f3996,f3997,f1644,f886,f874,f854,f1464,f1620,f1384,f1375,f1068,f1061,f1048,f1326,f1320,f1599,f1181,f1627,f1626,f1592,f1590,f1588,f1356,f1594,f1583,f1523,f1218,f1080,f1003,f1002,f992,f991,f1655,f1654,f768,f762,f686,f685,f675,f674,f634,f631,f20,f11,f4000,f15,f4001,f17,f4002,f21,f4003,f19,f4013,f13]) ).

fof(f4013,plain,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | spl0_3 ),
    inference(global_subsumption,[],[f8,f6,f7,f5,f9,f1,f2,f4,f3,f60,f208,f36,f13,f24,f22,f18,f16,f14,f12,f10,f28,f30,f204,f402,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f956,f1422,f2268,f2274,f2278,f2280,f32,f374,f26,f29,f3991,f31,f3992,f33,f3993,f27,f3994,f25,f3995,f23,f3996,f3997,f1644,f886,f874,f854,f1464,f1620,f1384,f1375,f1068,f1061,f1048,f1326,f1320,f1599,f1181,f1627,f1626,f1592,f1590,f1588,f1356,f1594,f1583,f1523,f1218,f1080,f1003,f1002,f992,f991,f1655,f1654,f768,f762,f686,f685,f675,f674,f634,f631,f20,f11,f4000,f15,f4001,f17,f4002,f21,f4003,f19]) ).

fof(f4003,plain,
    ( sk_c7 = multiply(sk_c6,sk_c8)
    | spl0_3 ),
    inference(global_subsumption,[],[f8,f6,f7,f5,f9,f1,f2,f4,f3,f60,f208,f36,f19,f13,f24,f22,f18,f16,f14,f12,f10,f28,f30,f204,f402,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f956,f1422,f2268,f2274,f2278,f2280,f32,f374,f26,f29,f3991,f31,f3992,f33,f3993,f27,f3994,f25,f3995,f23,f3996,f3997,f1644,f886,f874,f854,f1464,f1620,f1384,f1375,f1068,f1061,f1048,f1326,f1320,f1599,f1181,f1627,f1626,f1592,f1590,f1588,f1356,f1594,f1583,f1523,f1218,f1080,f1003,f1002,f992,f991,f1655,f1654,f768,f762,f686,f685,f675,f674,f634,f631,f20,f11,f4000,f15,f4001,f17,f4002,f21]) ).

fof(f4002,plain,
    ( sk_c7 = multiply(sk_c4,sk_c8)
    | spl0_3 ),
    inference(global_subsumption,[],[f8,f6,f7,f5,f9,f1,f2,f4,f3,f60,f208,f36,f21,f19,f13,f24,f22,f18,f16,f14,f12,f10,f28,f30,f204,f402,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f956,f1422,f2268,f2274,f2278,f2280,f32,f374,f26,f29,f3991,f31,f3992,f33,f3993,f27,f3994,f25,f3995,f23,f3996,f3997,f1644,f886,f874,f854,f1464,f1620,f1384,f1375,f1068,f1061,f1048,f1326,f1320,f1599,f1181,f1627,f1626,f1592,f1590,f1588,f1356,f1594,f1583,f1523,f1218,f1080,f1003,f1002,f992,f991,f1655,f1654,f768,f762,f686,f685,f675,f674,f634,f631,f20,f11,f4000,f15,f4001,f17]) ).

fof(f4001,plain,
    ( sk_c7 = multiply(sk_c6,sk_c8)
    | spl0_3 ),
    inference(global_subsumption,[],[f8,f6,f7,f5,f9,f1,f2,f4,f3,f60,f208,f36,f21,f19,f17,f13,f24,f22,f18,f16,f14,f12,f10,f28,f30,f204,f402,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f956,f1422,f2268,f2274,f2278,f2280,f32,f374,f26,f29,f3991,f31,f3992,f33,f3993,f27,f3994,f25,f3995,f23,f3996,f3997,f1644,f886,f874,f854,f1464,f1620,f1384,f1375,f1068,f1061,f1048,f1326,f1320,f1599,f1181,f1627,f1626,f1592,f1590,f1588,f1356,f1594,f1583,f1523,f1218,f1080,f1003,f1002,f992,f991,f1655,f1654,f768,f762,f686,f685,f675,f674,f634,f631,f20,f11,f4000,f15]) ).

fof(f4000,plain,
    ( sk_c7 = multiply(sk_c4,sk_c8)
    | spl0_3 ),
    inference(global_subsumption,[],[f8,f6,f7,f5,f9,f1,f2,f4,f3,f60,f208,f36,f21,f19,f17,f15,f13,f24,f22,f18,f16,f14,f12,f10,f28,f30,f204,f402,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f956,f1422,f2268,f2274,f2278,f2280,f32,f374,f26,f29,f3991,f31,f3992,f33,f3993,f27,f3994,f25,f3995,f23,f3996,f3997,f1644,f886,f874,f854,f1464,f1620,f1384,f1375,f1068,f1061,f1048,f1326,f1320,f1599,f1181,f1627,f1626,f1592,f1590,f1588,f1356,f1594,f1583,f1523,f1218,f1080,f1003,f1002,f992,f991,f1655,f1654,f768,f762,f686,f685,f675,f674,f634,f631,f20,f11]) ).

fof(f3996,plain,
    ( sk_c7 = multiply(sk_c4,sk_c8)
    | spl0_3 ),
    inference(global_subsumption,[],[f8,f6,f7,f5,f9,f1,f2,f4,f3,f60,f208,f36,f21,f19,f17,f15,f13,f11,f24,f22,f20,f18,f16,f14,f12,f10,f28,f30,f204,f402,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f1523,f1583,f1464,f1384,f1375,f1588,f1590,f1592,f1356,f1326,f1320,f1594,f1599,f1181,f1218,f1068,f1061,f1048,f1620,f1626,f1627,f1080,f1003,f1002,f992,f991,f886,f874,f956,f1644,f854,f768,f762,f1654,f686,f685,f1655,f675,f674,f634,f631,f1422,f2268,f2274,f2278,f2280,f32,f374,f26,f29,f3991,f31,f3992,f33,f3993,f27,f3994,f25,f3995,f23]) ).

fof(f3995,plain,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | spl0_3 ),
    inference(global_subsumption,[],[f8,f6,f7,f5,f9,f1,f2,f4,f3,f60,f208,f36,f23,f21,f19,f17,f15,f13,f11,f24,f22,f20,f18,f16,f14,f12,f10,f28,f30,f204,f402,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f1523,f1583,f1464,f1384,f1375,f1588,f1590,f1592,f1356,f1326,f1320,f1594,f1599,f1181,f1218,f1068,f1061,f1048,f1620,f1626,f1627,f1080,f1003,f1002,f992,f991,f886,f874,f956,f1644,f854,f768,f762,f1654,f686,f685,f1655,f675,f674,f634,f631,f1422,f2268,f2274,f2278,f2280,f32,f374,f26,f29,f3991,f31,f3992,f33,f3993,f27,f3994,f25]) ).

fof(f3994,plain,
    ( sk_c7 = multiply(sk_c6,sk_c8)
    | spl0_3 ),
    inference(global_subsumption,[],[f8,f6,f7,f5,f9,f1,f2,f4,f3,f60,f208,f36,f25,f23,f21,f19,f17,f15,f13,f11,f24,f22,f20,f18,f16,f14,f12,f10,f28,f30,f204,f402,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f1523,f1583,f1464,f1384,f1375,f1588,f1590,f1592,f1356,f1326,f1320,f1594,f1599,f1181,f1218,f1068,f1061,f1048,f1620,f1626,f1627,f1080,f1003,f1002,f992,f991,f886,f874,f956,f1644,f854,f768,f762,f1654,f686,f685,f1655,f675,f674,f634,f631,f1422,f2268,f2274,f2278,f2280,f32,f374,f26,f29,f3991,f31,f3992,f33,f3993,f27]) ).

fof(f3993,plain,
    ( sk_c7 = multiply(sk_c6,sk_c8)
    | spl0_3 ),
    inference(global_subsumption,[],[f8,f6,f7,f5,f9,f1,f2,f4,f3,f60,f208,f36,f27,f25,f23,f21,f19,f17,f15,f13,f11,f24,f22,f20,f18,f16,f14,f12,f10,f28,f30,f204,f402,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f1523,f1583,f1464,f1384,f1375,f1588,f1590,f1592,f1356,f1326,f1320,f1594,f1599,f1181,f1218,f1068,f1061,f1048,f1620,f1626,f1627,f1080,f1003,f1002,f992,f991,f886,f874,f956,f1644,f854,f768,f762,f1654,f686,f685,f1655,f675,f674,f634,f631,f1422,f2268,f2274,f2278,f2280,f32,f374,f26,f29,f3991,f31,f3992,f33]) ).

fof(f3992,plain,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | spl0_3 ),
    inference(global_subsumption,[],[f8,f6,f7,f5,f9,f1,f2,f4,f3,f60,f208,f36,f27,f25,f23,f21,f19,f17,f15,f13,f11,f33,f24,f22,f20,f18,f16,f14,f12,f10,f28,f30,f204,f402,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f1523,f1583,f1464,f1384,f1375,f1588,f1590,f1592,f1356,f1326,f1320,f1594,f1599,f1181,f1218,f1068,f1061,f1048,f1620,f1626,f1627,f1080,f1003,f1002,f992,f991,f886,f874,f956,f1644,f854,f768,f762,f1654,f686,f685,f1655,f675,f674,f634,f631,f1422,f2268,f2274,f2278,f2280,f32,f374,f26,f29,f3991,f31]) ).

fof(f3991,plain,
    ( sk_c7 = multiply(sk_c4,sk_c8)
    | spl0_3 ),
    inference(global_subsumption,[],[f8,f6,f7,f5,f9,f1,f2,f4,f3,f60,f208,f36,f27,f25,f23,f21,f19,f17,f15,f13,f11,f33,f31,f24,f22,f20,f18,f16,f14,f12,f10,f28,f30,f204,f402,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f1523,f1583,f1464,f1384,f1375,f1588,f1590,f1592,f1356,f1326,f1320,f1594,f1599,f1181,f1218,f1068,f1061,f1048,f1620,f1626,f1627,f1080,f1003,f1002,f992,f991,f886,f874,f956,f1644,f854,f768,f762,f1654,f686,f685,f1655,f675,f674,f634,f631,f1422,f2268,f2274,f2278,f2280,f32,f374,f26,f29]) ).

fof(f374,plain,
    ( sk_c8 != inverse(sk_c2)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f373]) ).

fof(f4321,plain,
    ( ! [X3,X6,X7,X5] :
        ( identity != multiply(identity,X5)
        | identity != multiply(inverse(X7),identity)
        | identity != multiply(X6,identity)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X3)
        | sk_c8 != multiply(X3,identity) )
    | ~ spl0_1
    | spl0_3
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f4320,f654]) ).

fof(f4320,plain,
    ( ! [X3,X6,X7,X5] :
        ( identity != multiply(identity,multiply(X5,identity))
        | identity != multiply(inverse(X7),identity)
        | identity != multiply(X6,identity)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X3)
        | sk_c8 != multiply(X3,identity) )
    | ~ spl0_1
    | spl0_3
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f4319,f4225]) ).

fof(f4319,plain,
    ( ! [X3,X6,X7,X5] :
        ( identity != multiply(inverse(X7),identity)
        | identity != multiply(X6,identity)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X3)
        | identity != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c8 != multiply(X3,identity) )
    | ~ spl0_1
    | spl0_3
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f4318,f4225]) ).

fof(f4318,plain,
    ( ! [X3,X6,X7,X5] :
        ( identity != multiply(X6,identity)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X3)
        | identity != multiply(inverse(X7),sk_c8)
        | identity != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c8 != multiply(X3,identity) )
    | ~ spl0_1
    | spl0_3
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f4317,f4225]) ).

fof(f4317,plain,
    ( ! [X3,X6,X7,X5] :
        ( identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X3)
        | identity != multiply(X6,sk_c8)
        | identity != multiply(inverse(X7),sk_c8)
        | identity != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c8 != multiply(X3,identity) )
    | ~ spl0_1
    | spl0_3
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f4316,f4225]) ).

fof(f4316,plain,
    ( ! [X3,X6,X7,X5] :
        ( identity != inverse(X5)
        | identity != inverse(X3)
        | sk_c8 != inverse(X6)
        | identity != multiply(X6,sk_c8)
        | identity != multiply(inverse(X7),sk_c8)
        | identity != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c8 != multiply(X3,identity) )
    | ~ spl0_1
    | spl0_3
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f4315,f4225]) ).

fof(f4315,plain,
    ( ! [X3,X6,X7,X5] :
        ( identity != inverse(X3)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X6)
        | identity != multiply(X6,sk_c8)
        | identity != multiply(inverse(X7),sk_c8)
        | identity != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c8 != multiply(X3,identity) )
    | ~ spl0_1
    | spl0_3
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f4314,f4225]) ).

fof(f4314,plain,
    ( ! [X3,X6,X7,X5] :
        ( sk_c8 != inverse(X3)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X6)
        | identity != multiply(X6,sk_c8)
        | identity != multiply(inverse(X7),sk_c8)
        | identity != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c8 != multiply(X3,identity) )
    | ~ spl0_1
    | spl0_3
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f4005,f4208]) ).

fof(f4206,plain,
    ( ~ spl0_1
    | spl0_3
    | ~ spl0_4
    | spl0_11
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f4205]) ).

fof(f4205,plain,
    ( $false
    | ~ spl0_1
    | spl0_3
    | ~ spl0_4
    | spl0_11
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f4204,f2521]) ).

fof(f2521,plain,
    ( identity != sk_c1
    | spl0_11 ),
    inference(avatar_component_clause,[],[f2520]) ).

fof(f2520,plain,
    ( spl0_11
  <=> identity = sk_c1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f4204,plain,
    ( identity = sk_c1
    | ~ spl0_1
    | spl0_3
    | ~ spl0_4
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f4197,f2]) ).

fof(f4197,plain,
    ( sk_c1 = multiply(inverse(sk_c7),sk_c7)
    | ~ spl0_1
    | spl0_3
    | ~ spl0_4
    | ~ spl0_13 ),
    inference(superposition,[],[f60,f4084]) ).

fof(f4084,plain,
    ( sk_c7 = multiply(sk_c7,sk_c1)
    | ~ spl0_1
    | spl0_3
    | ~ spl0_4
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f4083,f3998]) ).

fof(f4083,plain,
    ( sk_c7 = multiply(sk_c4,sk_c1)
    | spl0_3
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f3991,f3269]) ).

fof(f3269,plain,
    ( sk_c1 = sk_c8
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f3267]) ).

fof(f3267,plain,
    ( spl0_13
  <=> sk_c1 = sk_c8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f4191,plain,
    ( ~ spl0_1
    | spl0_3
    | ~ spl0_4
    | ~ spl0_8
    | spl0_11
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f4190]) ).

fof(f4190,plain,
    ( $false
    | ~ spl0_1
    | spl0_3
    | ~ spl0_4
    | ~ spl0_8
    | spl0_11
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f4189,f2521]) ).

fof(f4189,plain,
    ( identity = sk_c1
    | ~ spl0_1
    | spl0_3
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f4179,f989]) ).

fof(f4179,plain,
    ( sk_c1 = inverse(identity)
    | ~ spl0_1
    | spl0_3
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(superposition,[],[f4029,f4171]) ).

fof(f4171,plain,
    ( identity = sk_c7
    | spl0_3
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f4170,f1]) ).

fof(f4170,plain,
    ( sk_c7 = multiply(identity,identity)
    | spl0_3
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f4168,f4161]) ).

fof(f4161,plain,
    ( identity = sk_c5
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f4160,f652]) ).

fof(f4160,plain,
    ( sk_c5 = multiply(sk_c1,inverse(sk_c1))
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f4154,f1755]) ).

fof(f4154,plain,
    ( multiply(sk_c1,inverse(sk_c1)) = inverse(sk_c6)
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(superposition,[],[f1021,f4059]) ).

fof(f4059,plain,
    ( sk_c1 = multiply(sk_c6,sk_c1)
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f3265,f3269]) ).

fof(f3265,plain,
    ( sk_c1 = multiply(sk_c6,sk_c8)
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f3263]) ).

fof(f4168,plain,
    ( sk_c7 = multiply(sk_c5,identity)
    | spl0_3
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(superposition,[],[f3992,f4159]) ).

fof(f4159,plain,
    ( identity = sk_c6
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f4153,f652]) ).

fof(f4153,plain,
    ( sk_c6 = multiply(sk_c1,inverse(sk_c1))
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(superposition,[],[f1110,f4059]) ).

fof(f4029,plain,
    ( sk_c1 = inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f4028,f3269]) ).

fof(f3980,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3979]) ).

fof(f3979,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f3978,f988]) ).

fof(f988,plain,
    ( identity = inverse(identity)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f891,f46]) ).

fof(f46,plain,
    ( identity = multiply(sk_c8,sk_c1)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f44]) ).

fof(f44,plain,
    ( inverse(sk_c1) = sk_c8
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f42]) ).

fof(f891,plain,
    ( identity = inverse(multiply(sk_c8,sk_c1))
    | ~ spl0_2 ),
    inference(superposition,[],[f767,f63]) ).

fof(f63,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f55,f1]) ).

fof(f55,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c1,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f46]) ).

fof(f3978,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3977,f2522]) ).

fof(f2522,plain,
    ( identity = sk_c1
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f2520]) ).

fof(f3977,plain,
    ( identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3976,f423]) ).

fof(f423,plain,
    ( sk_c1 = sk_c7
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f419,f346]) ).

fof(f346,plain,
    ( sk_c1 = multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f334,f331]) ).

fof(f331,plain,
    ( sk_c1 = multiply(sk_c7,identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f218,f40]) ).

fof(f218,plain,
    ( sk_c1 = multiply(inverse(sk_c8),identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f60,f46]) ).

fof(f334,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c7,X0)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f333,f1]) ).

fof(f333,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c7,multiply(identity,X0))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f331]) ).

fof(f419,plain,
    ( sk_c7 = multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f347,f406]) ).

fof(f347,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c8,X0)) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f334,f326]) ).

fof(f3976,plain,
    ( identity != inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f3975,f1]) ).

fof(f3975,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3919,f2522]) ).

fof(f3919,plain,
    ( identity != multiply(sk_c1,identity)
    | identity != inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f1572,f334]) ).

fof(f1572,plain,
    ( ! [X6] :
        ( identity != multiply(X6,identity)
        | identity != inverse(X6) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f1571]) ).

fof(f3974,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3973]) ).

fof(f3973,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f3972,f988]) ).

fof(f3972,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3971,f2604]) ).

fof(f2604,plain,
    ( identity = sk_c8
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2603,f1]) ).

fof(f2603,plain,
    ( sk_c8 = multiply(identity,identity)
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2518,f2522]) ).

fof(f2518,plain,
    ( sk_c8 = multiply(sk_c1,sk_c1)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f2516]) ).

fof(f2516,plain,
    ( spl0_10
  <=> sk_c8 = multiply(sk_c1,sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f3971,plain,
    ( identity != inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3970,f44]) ).

fof(f3970,plain,
    ( identity != inverse(inverse(sk_c1))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3969,f423]) ).

fof(f3969,plain,
    ( identity != inverse(inverse(sk_c7))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f3968,f2604]) ).

fof(f3968,plain,
    ( identity != sk_c8
    | identity != inverse(inverse(sk_c7))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f3918,f358]) ).

fof(f358,plain,
    ( sk_c8 = multiply(sk_c8,identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f63,f348]) ).

fof(f348,plain,
    ( identity = multiply(sk_c1,sk_c8)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f334,f327]) ).

fof(f3918,plain,
    ( identity != multiply(sk_c8,identity)
    | identity != inverse(inverse(sk_c7))
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(superposition,[],[f1572,f337]) ).

fof(f3967,plain,
    ~ spl0_5,
    inference(avatar_contradiction_clause,[],[f3966]) ).

fof(f3966,plain,
    ( $false
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f3965,f672]) ).

fof(f3965,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f3923,f672]) ).

fof(f3923,plain,
    ( identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_5 ),
    inference(trivial_inequality_removal,[],[f3917]) ).

fof(f3917,plain,
    ( identity != identity
    | identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_5 ),
    inference(superposition,[],[f1572,f583]) ).

fof(f3958,plain,
    ~ spl0_5,
    inference(avatar_contradiction_clause,[],[f3957]) ).

fof(f3957,plain,
    ( $false
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f3924,f672]) ).

fof(f3924,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_5 ),
    inference(trivial_inequality_removal,[],[f3914]) ).

fof(f3914,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_5 ),
    inference(superposition,[],[f1572,f204]) ).

fof(f3956,plain,
    ~ spl0_5,
    inference(avatar_contradiction_clause,[],[f3955]) ).

fof(f3955,plain,
    ( $false
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f3925,f672]) ).

fof(f3925,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_5 ),
    inference(trivial_inequality_removal,[],[f3913]) ).

fof(f3913,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_5 ),
    inference(superposition,[],[f1572,f2]) ).

fof(f3954,plain,
    ( ~ spl0_2
    | ~ spl0_5 ),
    inference(avatar_contradiction_clause,[],[f3953]) ).

fof(f3953,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f3926,f988]) ).

fof(f3926,plain,
    ( identity != inverse(identity)
    | ~ spl0_5 ),
    inference(trivial_inequality_removal,[],[f3912]) ).

fof(f3912,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl0_5 ),
    inference(superposition,[],[f1572,f1]) ).

fof(f3952,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3951]) ).

fof(f3951,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f3950,f988]) ).

fof(f3950,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3949,f2522]) ).

fof(f3949,plain,
    ( identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3948,f423]) ).

fof(f3948,plain,
    ( identity != inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f3911,f2522]) ).

fof(f3911,plain,
    ( identity != sk_c1
    | identity != inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f1572,f331]) ).

fof(f3947,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3946]) ).

fof(f3946,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f3945,f988]) ).

fof(f3945,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3944,f2604]) ).

fof(f3944,plain,
    ( identity != inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f3910,f2604]) ).

fof(f3910,plain,
    ( identity != sk_c8
    | identity != inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f1572,f358]) ).

fof(f3943,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3942]) ).

fof(f3942,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f3941,f988]) ).

fof(f3941,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3940,f2522]) ).

fof(f3940,plain,
    ( identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f3909,f2522]) ).

fof(f3909,plain,
    ( identity != sk_c1
    | identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f1572,f346]) ).

fof(f3938,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3937]) ).

fof(f3937,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f3936,f988]) ).

fof(f3936,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3935,f2522]) ).

fof(f3935,plain,
    ( identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3934,f423]) ).

fof(f3934,plain,
    ( identity != inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3933,f672]) ).

fof(f3933,plain,
    ( identity != inverse(inverse(inverse(sk_c7)))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f3907,f2522]) ).

fof(f3907,plain,
    ( identity != sk_c1
    | identity != inverse(inverse(inverse(sk_c7)))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f1572,f338]) ).

fof(f338,plain,
    ( sk_c1 = multiply(inverse(inverse(sk_c7)),identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f60,f332]) ).

fof(f332,plain,
    ( identity = multiply(inverse(sk_c7),sk_c1)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f60,f331]) ).

fof(f3932,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3931]) ).

fof(f3931,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f3930,f988]) ).

fof(f3930,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3929,f2604]) ).

fof(f3929,plain,
    ( identity != inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3928,f44]) ).

fof(f3928,plain,
    ( identity != inverse(inverse(sk_c1))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3927,f423]) ).

fof(f3927,plain,
    ( identity != inverse(inverse(sk_c7))
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f3906,f2604]) ).

fof(f3906,plain,
    ( identity != sk_c8
    | identity != inverse(inverse(sk_c7))
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(superposition,[],[f1572,f328]) ).

fof(f3880,plain,
    ~ spl0_7,
    inference(avatar_contradiction_clause,[],[f3879]) ).

fof(f3879,plain,
    ( $false
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f3870,f672]) ).

fof(f3870,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_7 ),
    inference(trivial_inequality_removal,[],[f3867]) ).

fof(f3867,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_7 ),
    inference(superposition,[],[f1578,f652]) ).

fof(f1578,plain,
    ( ! [X5] :
        ( identity != multiply(identity,X5)
        | identity != inverse(X5) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f1577]) ).

fof(f3878,plain,
    ~ spl0_7,
    inference(avatar_contradiction_clause,[],[f3877]) ).

fof(f3877,plain,
    ( $false
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f3876,f672]) ).

fof(f3876,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f3871,f1021]) ).

fof(f3871,plain,
    ( ! [X0] : identity != inverse(multiply(X0,inverse(multiply(identity,X0))))
    | ~ spl0_7 ),
    inference(trivial_inequality_removal,[],[f3866]) ).

fof(f3866,plain,
    ( ! [X0] :
        ( identity != identity
        | identity != inverse(multiply(X0,inverse(multiply(identity,X0)))) )
    | ~ spl0_7 ),
    inference(superposition,[],[f1578,f767]) ).

fof(f3874,plain,
    ( ~ spl0_2
    | ~ spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3873]) ).

fof(f3873,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f3872,f988]) ).

fof(f3872,plain,
    ( identity != inverse(identity)
    | ~ spl0_7 ),
    inference(trivial_inequality_removal,[],[f3864]) ).

fof(f3864,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl0_7 ),
    inference(superposition,[],[f1578,f654]) ).

fof(f3810,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3809]) ).

fof(f3809,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f3808,f1]) ).

fof(f3808,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3781,f2604]) ).

fof(f3781,plain,
    ( identity != multiply(sk_c8,identity)
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(superposition,[],[f1575,f337]) ).

fof(f1575,plain,
    ( ! [X7] : identity != multiply(inverse(X7),identity)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f1574]) ).

fof(f3807,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3806]) ).

fof(f3806,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f3773,f2522]) ).

fof(f3773,plain,
    ( identity != sk_c1
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(superposition,[],[f1575,f338]) ).

fof(f3805,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3804]) ).

fof(f3804,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f3772,f2604]) ).

fof(f3772,plain,
    ( identity != sk_c8
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(superposition,[],[f1575,f328]) ).

fof(f3803,plain,
    ( ~ spl0_4
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3802]) ).

fof(f3802,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f3801,f1]) ).

fof(f3801,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3771,f2604]) ).

fof(f3771,plain,
    ( identity != multiply(sk_c8,identity)
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(superposition,[],[f1575,f379]) ).

fof(f3800,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3799]) ).

fof(f3799,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f3798,f1]) ).

fof(f3798,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3797,f2522]) ).

fof(f3797,plain,
    ( identity != multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f3770,f423]) ).

fof(f3770,plain,
    ( identity != multiply(sk_c7,identity)
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(superposition,[],[f1575,f40]) ).

fof(f3796,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3795]) ).

fof(f3795,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f3794,f1]) ).

fof(f3794,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3769,f2522]) ).

fof(f3769,plain,
    ( identity != multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(superposition,[],[f1575,f790]) ).

fof(f790,plain,
    ( sk_c1 = inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f773,f331]) ).

fof(f773,plain,
    ( inverse(sk_c8) = multiply(sk_c7,identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f326,f652]) ).

fof(f3793,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3792]) ).

fof(f3792,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f3791,f1]) ).

fof(f3791,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3768,f2604]) ).

fof(f3768,plain,
    ( identity != multiply(sk_c8,identity)
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(superposition,[],[f1575,f44]) ).

fof(f3790,plain,
    ( ~ spl0_2
    | ~ spl0_6 ),
    inference(avatar_contradiction_clause,[],[f3789]) ).

fof(f3789,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f3766,f1]) ).

fof(f3766,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(superposition,[],[f1575,f988]) ).

fof(f3788,plain,
    ~ spl0_6,
    inference(avatar_contradiction_clause,[],[f3787]) ).

fof(f3787,plain,
    ( $false
    | ~ spl0_6 ),
    inference(trivial_inequality_removal,[],[f3776]) ).

fof(f3776,plain,
    ( identity != identity
    | ~ spl0_6 ),
    inference(superposition,[],[f1575,f2]) ).

fof(f3786,plain,
    ~ spl0_6,
    inference(avatar_contradiction_clause,[],[f3785]) ).

fof(f3785,plain,
    ( $false
    | ~ spl0_6 ),
    inference(trivial_inequality_removal,[],[f3777]) ).

fof(f3777,plain,
    ( identity != identity
    | ~ spl0_6 ),
    inference(superposition,[],[f1575,f204]) ).

fof(f3784,plain,
    ~ spl0_6,
    inference(avatar_contradiction_clause,[],[f3783]) ).

fof(f3783,plain,
    ( $false
    | ~ spl0_6 ),
    inference(trivial_inequality_removal,[],[f3780]) ).

fof(f3780,plain,
    ( identity != identity
    | ~ spl0_6 ),
    inference(superposition,[],[f1575,f583]) ).

fof(f3690,plain,
    ( ~ spl0_10
    | ~ spl0_11
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f3689]) ).

fof(f3689,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_11
    | spl0_13 ),
    inference(subsumption_resolution,[],[f3665,f2522]) ).

fof(f3665,plain,
    ( identity != sk_c1
    | ~ spl0_10
    | ~ spl0_11
    | spl0_13 ),
    inference(superposition,[],[f3268,f2604]) ).

fof(f3268,plain,
    ( sk_c1 != sk_c8
    | spl0_13 ),
    inference(avatar_component_clause,[],[f3267]) ).

fof(f3623,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3622]) ).

fof(f3622,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f3265,f8,f6,f7,f5,f9,f1,f2,f4,f44,f46,f3,f63,f60,f208,f218,f212,f36,f27,f25,f23,f21,f19,f17,f15,f13,f11,f33,f31,f29,f24,f22,f20,f18,f16,f14,f12,f10,f28,f40,f327,f330,f331,f328,f332,f340,f326,f341,f343,f334,f349,f351,f352,f353,f346,f348,f361,f362,f358,f335,f366,f368,f338,f369,f371,f30,f347,f204,f402,f337,f410,f411,f406,f424,f426,f423,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f1551,f1580,f1525,f1581,f1523,f1582,f1519,f1583,f1464,f1384,f1375,f1586,f1587,f1588,f1590,f1592,f1356,f1326,f1320,f1594,f1598,f1186,f1185,f1599,f1601,f1603,f1181,f1218,f1068,f1061,f1609,f1611,f1612,f1615,f1617,f1619,f1048,f1620,f1624,f1626,f1627,f1080,f1629,f1631,f1003,f1002,f1001,f1000,f999,f992,f991,f990,f989,f886,f972,f1635,f879,f1637,f1639,f875,f874,f956,f1644,f854,f787,f768,f762,f1652,f720,f1654,f686,f685,f710,f1655,f675,f674,f699,f634,f631,f1671,f1674,f1676,f1685,f463,f1686,f379,f1687,f1688,f1701,f1702,f1692,f1693,f1704,f1695,f1696,f1697,f1699,f790,f988,f1422,f2268,f2274,f2278,f2280,f1531,f1481,f1479,f2327,f1718,f2100,f1595,f1305,f1717,f2329,f1209,f2386,f2387,f2393,f2397,f2398,f2400,f1270,f2422,f2423,f2429,f2433,f2434,f2436,f2323,f1584,f1387,f1386,f1166,f1071,f1070,f1653,f2435,f2399,f2321,f2288,f1673,f2249,f2248,f1597,f1190,f1188,f2325,f1716,f1591,f1402,f1353,f2521,f26,f3546,f3547,f3548,f3549,f3550,f3558,f1684,f3560,f1669,f3561,f3562,f1668,f3563,f374,f32,f3553,f3551]) ).

fof(f3551,plain,
    ( sk_c1 = multiply(sk_c6,sk_c8)
    | sk_c8 = inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f33,f423]) ).

fof(f3553,plain,
    ( sk_c1 = multiply(sk_c5,sk_c6)
    | sk_c8 = inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f31,f423]) ).

fof(f3563,plain,
    ( sk_c1 = multiply(sk_c8,sk_c3)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_11 ),
    inference(global_subsumption,[],[f8,f6,f7,f5,f9,f1,f2,f4,f44,f46,f3,f63,f60,f208,f218,f212,f36,f27,f25,f23,f21,f19,f17,f15,f13,f11,f33,f31,f29,f24,f22,f20,f18,f16,f14,f12,f10,f28,f40,f327,f330,f331,f328,f332,f340,f326,f341,f343,f334,f349,f351,f352,f353,f346,f348,f361,f362,f358,f335,f366,f368,f338,f369,f371,f30,f347,f204,f402,f337,f410,f411,f406,f424,f426,f423,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f1551,f1580,f1525,f1581,f1523,f1582,f1519,f1583,f1464,f1384,f1375,f1586,f1587,f1588,f1590,f1592,f1356,f1326,f1320,f1594,f1598,f1186,f1185,f1599,f1601,f1603,f1181,f1218,f1068,f1061,f1609,f1611,f1612,f1615,f1617,f1619,f1048,f1620,f1624,f1626,f1627,f1080,f1629,f1631,f1003,f1002,f1001,f1000,f999,f992,f991,f990,f989,f886,f972,f1635,f879,f1637,f1639,f875,f874,f956,f1644,f854,f787,f768,f762,f1652,f720,f1654,f686,f685,f710,f1655,f675,f674,f699,f634,f631,f1671,f1674,f1676,f1685,f463,f1686,f379,f1687,f1688,f1701,f1702,f1692,f1693,f1704,f1695,f1696,f1697,f1699,f790,f988,f1422,f2268,f2274,f2278,f2280,f1531,f1481,f1479,f2327,f1718,f2100,f1595,f1305,f1717,f2329,f1209,f2386,f2387,f2393,f2397,f2398,f2400,f1270,f2422,f2423,f2429,f2433,f2434,f2436,f2323,f1584,f1387,f1386,f1166,f1071,f1070,f1653,f2435,f2399,f2321,f2288,f1673,f2249,f2248,f1597,f1190,f1188,f2325,f1716,f1591,f1402,f1353,f2521,f26,f3546,f3547,f3548,f3549,f3550,f3551,f3553,f3558,f32,f1684,f3560,f1669,f3561,f3562,f1668]) ).

fof(f1668,plain,
    ( sk_c1 = multiply(sk_c8,sk_c3)
    | sk_c1 = multiply(sk_c6,sk_c8)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1667,f423]) ).

fof(f1667,plain,
    ( sk_c1 = multiply(sk_c6,sk_c8)
    | sk_c7 = multiply(sk_c8,sk_c3)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f21,f423]) ).

fof(f3562,plain,
    ( sk_c1 = multiply(sk_c8,sk_c3)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_11 ),
    inference(subsumption_resolution,[],[f2327,f2521]) ).

fof(f3561,plain,
    ( sk_c1 = multiply(sk_c8,sk_c3)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_11 ),
    inference(global_subsumption,[],[f8,f6,f7,f5,f9,f1,f2,f4,f44,f46,f3,f63,f60,f208,f218,f212,f36,f27,f25,f23,f21,f19,f17,f15,f13,f11,f33,f31,f29,f24,f22,f20,f18,f16,f14,f12,f10,f28,f40,f327,f330,f331,f328,f332,f340,f326,f341,f343,f334,f349,f351,f352,f353,f346,f348,f361,f362,f358,f335,f366,f368,f338,f369,f371,f30,f347,f204,f402,f337,f410,f411,f406,f424,f426,f423,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f1551,f1580,f1525,f1581,f1523,f1582,f1519,f1583,f1464,f1384,f1375,f1586,f1587,f1588,f1590,f1592,f1356,f1326,f1320,f1594,f1598,f1186,f1185,f1599,f1601,f1603,f1181,f1218,f1068,f1061,f1609,f1611,f1612,f1615,f1617,f1619,f1048,f1620,f1624,f1626,f1627,f1080,f1629,f1631,f1003,f1002,f1001,f1000,f999,f992,f991,f990,f989,f886,f972,f1635,f879,f1637,f1639,f875,f874,f956,f1644,f854,f787,f768,f762,f1652,f720,f1654,f686,f685,f710,f1655,f675,f674,f699,f634,f631,f1671,f1674,f1676,f1685,f463,f1686,f379,f1687,f1688,f1701,f1702,f1692,f1693,f1704,f1695,f1696,f1697,f1699,f790,f988,f1422,f2268,f2274,f2278,f2280,f1531,f1481,f1479,f2327,f1718,f2100,f1595,f1305,f1717,f2329,f1668,f1209,f2386,f2387,f2393,f2397,f2398,f2400,f1270,f2422,f2423,f2429,f2433,f2434,f2436,f2323,f1584,f1387,f1386,f1166,f1071,f1070,f1653,f2435,f2399,f2321,f2288,f1673,f2249,f2248,f1597,f1190,f1188,f2325,f1716,f1591,f1402,f1353,f2521,f26,f3546,f3547,f3548,f3549,f3550,f3551,f3553,f3558,f32,f1684,f3560,f1669]) ).

fof(f1669,plain,
    ( sk_c1 = multiply(sk_c8,sk_c3)
    | sk_c1 = multiply(sk_c5,sk_c6)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f605,f423]) ).

fof(f605,plain,
    ( sk_c1 = multiply(sk_c5,sk_c6)
    | sk_c7 = multiply(sk_c8,sk_c3)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f19,f423]) ).

fof(f3560,plain,
    ( sk_c1 = multiply(sk_c8,sk_c3)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_11 ),
    inference(global_subsumption,[],[f8,f6,f7,f5,f9,f1,f2,f4,f44,f46,f3,f63,f60,f208,f218,f212,f36,f27,f25,f23,f21,f19,f17,f15,f13,f11,f33,f31,f29,f24,f22,f20,f18,f16,f14,f12,f10,f28,f40,f327,f330,f331,f328,f332,f340,f326,f341,f343,f334,f349,f351,f352,f353,f346,f348,f361,f362,f358,f335,f366,f368,f338,f369,f371,f30,f347,f204,f402,f337,f410,f411,f406,f424,f426,f423,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f1551,f1580,f1525,f1581,f1523,f1582,f1519,f1583,f1464,f1384,f1375,f1586,f1587,f1588,f1590,f1592,f1356,f1326,f1320,f1594,f1598,f1186,f1185,f1599,f1601,f1603,f1181,f1218,f1068,f1061,f1609,f1611,f1612,f1615,f1617,f1619,f1048,f1620,f1624,f1626,f1627,f1080,f1629,f1631,f1003,f1002,f1001,f1000,f999,f992,f991,f990,f989,f886,f972,f1635,f879,f1637,f1639,f875,f874,f956,f1644,f854,f787,f768,f762,f1652,f720,f1654,f686,f685,f710,f1655,f675,f674,f699,f634,f631,f1669,f1671,f1674,f1676,f1685,f463,f1686,f379,f1687,f1688,f1701,f1702,f1692,f1693,f1704,f1695,f1696,f1697,f1699,f790,f988,f1422,f2268,f2274,f2278,f2280,f1531,f1481,f1479,f2327,f1718,f2100,f1595,f1305,f1717,f2329,f1668,f1209,f2386,f2387,f2393,f2397,f2398,f2400,f1270,f2422,f2423,f2429,f2433,f2434,f2436,f2323,f1584,f1387,f1386,f1166,f1071,f1070,f1653,f2435,f2399,f2321,f2288,f1673,f2249,f2248,f1597,f1190,f1188,f2325,f1716,f1591,f1402,f1353,f2521,f26,f3546,f3547,f3548,f3549,f3550,f3551,f3553,f3558,f32,f1684]) ).

fof(f1684,plain,
    ( sk_c1 = multiply(sk_c8,sk_c3)
    | sk_c6 = inverse(sk_c5)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f20,f423]) ).

fof(f3558,plain,
    ( sk_c8 = inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_11 ),
    inference(subsumption_resolution,[],[f3557,f2521]) ).

fof(f3557,plain,
    ( identity = sk_c1
    | sk_c8 = inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f3556,f423]) ).

fof(f3556,plain,
    ( identity = sk_c7
    | sk_c8 = inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f3555,f348]) ).

fof(f3555,plain,
    ( sk_c7 = multiply(sk_c1,sk_c8)
    | sk_c8 = inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f29,f1699]) ).

fof(f3550,plain,
    ( sk_c3 = multiply(sk_c2,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_11 ),
    inference(global_subsumption,[],[f8,f6,f7,f5,f9,f1,f2,f4,f44,f46,f3,f63,f60,f208,f218,f212,f36,f27,f25,f23,f21,f19,f17,f15,f13,f11,f33,f31,f29,f24,f22,f20,f18,f16,f14,f12,f10,f32,f28,f40,f327,f330,f331,f328,f332,f340,f326,f341,f343,f334,f349,f351,f352,f353,f346,f348,f361,f362,f358,f335,f366,f368,f338,f369,f371,f30,f347,f204,f402,f337,f410,f411,f406,f424,f426,f423,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f1551,f1580,f1525,f1581,f1523,f1582,f1519,f1583,f1464,f1384,f1375,f1586,f1587,f1588,f1590,f1592,f1356,f1326,f1320,f1594,f1598,f1186,f1185,f1599,f1601,f1603,f1181,f1218,f1068,f1061,f1609,f1611,f1612,f1615,f1617,f1619,f1048,f1620,f1624,f1626,f1627,f1080,f1629,f1631,f1003,f1002,f1001,f1000,f999,f992,f991,f990,f989,f886,f972,f1635,f879,f1637,f1639,f875,f874,f956,f1644,f854,f787,f768,f762,f1652,f720,f1654,f686,f685,f710,f1655,f675,f674,f699,f634,f631,f1669,f1671,f1674,f1676,f1684,f1685,f463,f1686,f379,f1687,f1688,f1701,f1702,f1692,f1693,f1704,f1695,f1696,f1697,f1699,f790,f988,f1422,f2268,f2274,f2278,f2280,f1531,f1481,f1479,f2327,f1718,f2100,f1595,f1305,f1717,f2329,f1668,f1209,f2386,f2387,f2393,f2397,f2398,f2400,f1270,f2422,f2423,f2429,f2433,f2434,f2436,f2323,f1584,f1387,f1386,f1166,f1071,f1070,f1653,f2435,f2399,f2321,f2288,f1673,f2249,f2248,f1597,f1190,f1188,f2325,f1716,f1591,f1402,f1353,f2521,f26,f3546,f3547,f3548,f3549]) ).

fof(f3549,plain,
    ( sk_c1 = multiply(sk_c6,sk_c8)
    | sk_c3 = multiply(sk_c2,sk_c8)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f27,f423]) ).

fof(f3548,plain,
    ( sk_c3 = multiply(sk_c2,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_11 ),
    inference(global_subsumption,[],[f8,f6,f7,f5,f9,f1,f2,f4,f44,f46,f3,f63,f60,f208,f218,f212,f36,f27,f25,f23,f21,f19,f17,f15,f13,f11,f33,f31,f29,f24,f22,f20,f18,f16,f14,f12,f10,f32,f28,f40,f327,f330,f331,f328,f332,f340,f326,f341,f343,f334,f349,f351,f352,f353,f346,f348,f361,f362,f358,f335,f366,f368,f338,f369,f371,f30,f347,f204,f402,f337,f410,f411,f406,f424,f426,f423,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f1551,f1580,f1525,f1581,f1523,f1582,f1519,f1583,f1464,f1384,f1375,f1586,f1587,f1588,f1590,f1592,f1356,f1326,f1320,f1594,f1598,f1186,f1185,f1599,f1601,f1603,f1181,f1218,f1068,f1061,f1609,f1611,f1612,f1615,f1617,f1619,f1048,f1620,f1624,f1626,f1627,f1080,f1629,f1631,f1003,f1002,f1001,f1000,f999,f992,f991,f990,f989,f886,f972,f1635,f879,f1637,f1639,f875,f874,f956,f1644,f854,f787,f768,f762,f1652,f720,f1654,f686,f685,f710,f1655,f675,f674,f699,f634,f631,f1669,f1671,f1674,f1676,f1684,f1685,f463,f1686,f379,f1687,f1688,f1701,f1702,f1692,f1693,f1704,f1695,f1696,f1697,f1699,f790,f988,f1422,f2268,f2274,f2278,f2280,f1531,f1481,f1479,f2327,f1718,f2100,f1595,f1305,f1717,f2329,f1668,f1209,f2386,f2387,f2393,f2397,f2398,f2400,f1270,f2422,f2423,f2429,f2433,f2434,f2436,f2323,f1584,f1387,f1386,f1166,f1071,f1070,f1653,f2435,f2399,f2321,f2288,f1673,f2249,f2248,f1597,f1190,f1188,f2325,f1716,f1591,f1402,f1353,f2521,f26,f3546,f3547]) ).

fof(f3547,plain,
    ( sk_c1 = multiply(sk_c5,sk_c6)
    | sk_c3 = multiply(sk_c2,sk_c8)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f25,f423]) ).

fof(f3546,plain,
    ( sk_c3 = multiply(sk_c2,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_11 ),
    inference(subsumption_resolution,[],[f3545,f2521]) ).

fof(f3545,plain,
    ( identity = sk_c1
    | sk_c3 = multiply(sk_c2,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f3544,f423]) ).

fof(f3544,plain,
    ( identity = sk_c7
    | sk_c3 = multiply(sk_c2,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f3543,f348]) ).

fof(f3543,plain,
    ( sk_c7 = multiply(sk_c1,sk_c8)
    | sk_c3 = multiply(sk_c2,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f23,f1699]) ).

fof(f1353,plain,
    ( ! [X0] : sk_c1 = multiply(X0,inverse(multiply(sk_c8,X0)))
    | ~ spl0_2 ),
    inference(superposition,[],[f1025,f44]) ).

fof(f1402,plain,
    ( ! [X0] : sk_c8 = multiply(X0,inverse(multiply(sk_c1,X0)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1354,f334]) ).

fof(f1591,plain,
    ( ! [X0] : sk_c1 = multiply(X0,inverse(multiply(sk_c8,X0)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1359,f423]) ).

fof(f1716,plain,
    ( ! [X0] : sk_c8 = multiply(X0,inverse(multiply(sk_c1,X0)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1025,f790]) ).

fof(f2325,plain,
    ( ! [X0] : sk_c1 = multiply(X0,inverse(multiply(sk_c8,X0)))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f1695,f1699]) ).

fof(f1188,plain,
    ( ! [X0] : sk_c8 = multiply(X0,inverse(multiply(sk_c1,X0)))
    | ~ spl0_2 ),
    inference(superposition,[],[f1110,f63]) ).

fof(f1190,plain,
    ( ! [X0] : sk_c1 = multiply(X0,inverse(multiply(sk_c8,X0)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1110,f347]) ).

fof(f1597,plain,
    ( ! [X0] : sk_c1 = multiply(X0,inverse(multiply(sk_c8,X0)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1189,f423]) ).

fof(f2248,plain,
    ( ! [X0] : sk_c1 = multiply(inverse(multiply(X0,sk_c8)),X0)
    | ~ spl0_2 ),
    inference(superposition,[],[f1422,f44]) ).

fof(f2249,plain,
    ( ! [X0] : sk_c8 = multiply(inverse(multiply(X0,sk_c1)),X0)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1422,f790]) ).

fof(f1673,plain,
    ( sk_c8 = multiply(sk_c1,sk_c1)
    | sk_c1 = multiply(sk_c6,sk_c8)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1672,f423]) ).

fof(f1672,plain,
    ( sk_c1 = multiply(sk_c6,sk_c8)
    | sk_c8 = multiply(sk_c1,sk_c7)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f15,f423]) ).

fof(f2288,plain,
    ( ! [X0] : sk_c8 = multiply(inverse(multiply(X0,sk_c1)),X0)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2250,f423]) ).

fof(f2321,plain,
    ( ! [X0] : sk_c1 = multiply(inverse(multiply(X0,sk_c8)),X0)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f2251,f1699]) ).

fof(f2399,plain,
    ( ! [X0] : sk_c8 = multiply(inverse(multiply(X0,sk_c1)),X0)
    | ~ spl0_2 ),
    inference(superposition,[],[f60,f1209]) ).

fof(f2435,plain,
    ( ! [X0] : sk_c1 = multiply(inverse(multiply(X0,sk_c8)),X0)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f60,f1270]) ).

fof(f1653,plain,
    ( ! [X3,X6,X7,X5] :
        ( sk_c8 != multiply(X3,identity)
        | identity != sk_c1
        | identity != multiply(sk_c8,multiply(X5,sk_c8))
        | identity != multiply(inverse(X7),sk_c8)
        | identity != multiply(X6,sk_c8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(inner_rewriting,[],[f1652]) ).

fof(f1070,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c1)) = multiply(sk_c8,inverse(X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f63,f1021]) ).

fof(f1071,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c8)) = multiply(sk_c1,inverse(X0))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f347,f1021]) ).

fof(f1166,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c8)) = multiply(sk_c1,inverse(X0))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1072,f334]) ).

fof(f1386,plain,
    ( ! [X0] : multiply(sk_c8,X0) = inverse(multiply(inverse(X0),sk_c1))
    | ~ spl0_2 ),
    inference(superposition,[],[f63,f1025]) ).

fof(f1387,plain,
    ( ! [X0] : multiply(sk_c1,X0) = inverse(multiply(inverse(X0),sk_c8))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f347,f1025]) ).

fof(f1584,plain,
    ( ! [X0] : multiply(sk_c1,X0) = inverse(multiply(inverse(X0),sk_c8))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1388,f334]) ).

fof(f2323,plain,
    ( identity = sk_c1
    | sk_c8 = multiply(sk_c1,sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f2322,f348]) ).

fof(f2322,plain,
    ( sk_c1 = multiply(sk_c1,sk_c8)
    | sk_c8 = multiply(sk_c1,sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f1676,f1699]) ).

fof(f2436,plain,
    ( ! [X0,X1] : multiply(X0,X1) = multiply(multiply(X0,sk_c8),multiply(sk_c1,X1))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f1270]) ).

fof(f2434,plain,
    ( ! [X0] : identity = multiply(multiply(X0,sk_c8),multiply(sk_c1,inverse(X0)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f767,f1270]) ).

fof(f2433,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c8)) = multiply(sk_c1,inverse(X0))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1021,f1270]) ).

fof(f2429,plain,
    ( ! [X0,X1] : multiply(X0,X1) = multiply(multiply(X0,multiply(X1,sk_c8)),sk_c1)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1270,f3]) ).

fof(f2423,plain,
    ( ! [X0] : multiply(X0,sk_c1) = inverse(multiply(sk_c8,inverse(X0)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1270,f1422]) ).

fof(f2422,plain,
    ( ! [X0] : inverse(multiply(sk_c8,X0)) = multiply(inverse(X0),sk_c1)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1270,f1114]) ).

fof(f1270,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c8),sk_c1) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1210,f423]) ).

fof(f2400,plain,
    ( ! [X0,X1] : multiply(X0,X1) = multiply(multiply(X0,sk_c1),multiply(sk_c8,X1))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f1209]) ).

fof(f2398,plain,
    ( ! [X0] : identity = multiply(multiply(X0,sk_c1),multiply(sk_c8,inverse(X0)))
    | ~ spl0_2 ),
    inference(superposition,[],[f767,f1209]) ).

fof(f2397,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c1)) = multiply(sk_c8,inverse(X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f1021,f1209]) ).

fof(f2393,plain,
    ( ! [X0,X1] : multiply(X0,X1) = multiply(multiply(X0,multiply(X1,sk_c1)),sk_c8)
    | ~ spl0_2 ),
    inference(superposition,[],[f1209,f3]) ).

fof(f2387,plain,
    ( ! [X0] : multiply(X0,sk_c8) = inverse(multiply(sk_c1,inverse(X0)))
    | ~ spl0_2 ),
    inference(superposition,[],[f1209,f1422]) ).

fof(f2386,plain,
    ( ! [X0] : inverse(multiply(sk_c1,X0)) = multiply(inverse(X0),sk_c8)
    | ~ spl0_2 ),
    inference(superposition,[],[f1209,f1114]) ).

fof(f1209,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c1),sk_c8) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f1110,f44]) ).

fof(f2329,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c1),sk_c8) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f1696,f1699]) ).

fof(f1717,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c8),sk_c1) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1110,f790]) ).

fof(f1305,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c8),sk_c1) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f1208,f44]) ).

fof(f1595,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c1),sk_c8) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1306,f423]) ).

fof(f2100,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c8),sk_c1) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f1697,f1699]) ).

fof(f1718,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c1),sk_c8) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1208,f790]) ).

fof(f2327,plain,
    ( identity = sk_c1
    | sk_c1 = multiply(sk_c8,sk_c3)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f2326,f348]) ).

fof(f2326,plain,
    ( sk_c1 = multiply(sk_c1,sk_c8)
    | sk_c1 = multiply(sk_c8,sk_c3)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f1671,f1699]) ).

fof(f1479,plain,
    ( ! [X0] : inverse(multiply(sk_c1,X0)) = multiply(inverse(X0),sk_c8)
    | ~ spl0_2 ),
    inference(superposition,[],[f1114,f63]) ).

fof(f1481,plain,
    ( ! [X0] : inverse(multiply(sk_c8,X0)) = multiply(inverse(X0),sk_c1)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1114,f347]) ).

fof(f1531,plain,
    ( ! [X0] : inverse(multiply(sk_c8,X0)) = multiply(inverse(X0),sk_c1)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1480,f423]) ).

fof(f1699,plain,
    ( sk_c1 = sk_c4
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f1698,f331]) ).

fof(f1704,plain,
    ( sk_c1 = sk_c4
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f1703,f423]) ).

fof(f1701,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c4,X0)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f1700,f334]) ).

fof(f1686,plain,
    ( sk_c8 = multiply(sk_c1,sk_c1)
    | sk_c8 = inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f12,f423]) ).

fof(f463,plain,
    ( sk_c8 = multiply(sk_c1,sk_c1)
    | sk_c6 = inverse(sk_c5)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f14,f423]) ).

fof(f1685,plain,
    ( sk_c1 = multiply(sk_c8,sk_c3)
    | sk_c8 = inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f18,f423]) ).

fof(f1676,plain,
    ( sk_c8 = multiply(sk_c1,sk_c1)
    | sk_c1 = multiply(sk_c4,sk_c8)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1675,f423]) ).

fof(f1675,plain,
    ( sk_c1 = multiply(sk_c4,sk_c8)
    | sk_c8 = multiply(sk_c1,sk_c7)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f11,f423]) ).

fof(f1674,plain,
    ( sk_c8 = multiply(sk_c1,sk_c1)
    | sk_c1 = multiply(sk_c5,sk_c6)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f594,f423]) ).

fof(f594,plain,
    ( sk_c1 = multiply(sk_c5,sk_c6)
    | sk_c8 = multiply(sk_c1,sk_c7)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f13,f423]) ).

fof(f1671,plain,
    ( sk_c1 = multiply(sk_c8,sk_c3)
    | sk_c1 = multiply(sk_c4,sk_c8)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1670,f423]) ).

fof(f1670,plain,
    ( sk_c1 = multiply(sk_c4,sk_c8)
    | sk_c7 = multiply(sk_c8,sk_c3)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f17,f423]) ).

fof(f699,plain,
    ( sk_c1 = inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f698,f44]) ).

fof(f698,plain,
    ( sk_c1 = inverse(inverse(sk_c1))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f671,f423]) ).

fof(f671,plain,
    ( sk_c1 = inverse(inverse(sk_c7))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f654,f338]) ).

fof(f710,plain,
    ( sk_c1 = inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f709,f44]) ).

fof(f709,plain,
    ( sk_c1 = inverse(inverse(sk_c1))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f682,f423]) ).

fof(f682,plain,
    ( sk_c1 = inverse(inverse(sk_c7))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f338,f654]) ).

fof(f720,plain,
    ( sk_c1 = inverse(sk_c8)
    | ~ spl0_2 ),
    inference(superposition,[],[f672,f44]) ).

fof(f1652,plain,
    ( ! [X3,X6,X7,X5] :
        ( sk_c8 != multiply(X3,sk_c1)
        | identity != sk_c1
        | sk_c1 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c1 != multiply(inverse(X7),sk_c8)
        | sk_c1 != multiply(X6,sk_c8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1651,f423]) ).

fof(f1651,plain,
    ( ! [X3,X6,X7,X5] :
        ( identity != sk_c1
        | sk_c1 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c1 != multiply(inverse(X7),sk_c8)
        | sk_c1 != multiply(X6,sk_c8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X6)
        | sk_c8 != multiply(X3,sk_c7) )
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1650,f423]) ).

fof(f1650,plain,
    ( ! [X3,X6,X7,X5] :
        ( identity != sk_c7
        | sk_c1 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c1 != multiply(inverse(X7),sk_c8)
        | sk_c1 != multiply(X6,sk_c8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X6)
        | sk_c8 != multiply(X3,sk_c7) )
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1649,f652]) ).

fof(f1649,plain,
    ( ! [X3,X6,X7,X5] :
        ( sk_c1 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c1 != multiply(inverse(X7),sk_c8)
        | sk_c1 != multiply(X6,sk_c8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X6)
        | sk_c7 != multiply(X7,inverse(X7))
        | sk_c8 != multiply(X3,sk_c7) )
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1648,f423]) ).

fof(f1648,plain,
    ( ! [X3,X6,X7,X5] :
        ( sk_c1 != multiply(inverse(X7),sk_c8)
        | sk_c1 != multiply(X6,sk_c8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X6)
        | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c7 != multiply(X7,inverse(X7))
        | sk_c8 != multiply(X3,sk_c7) )
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1647,f423]) ).

fof(f1647,plain,
    ( ! [X3,X6,X7,X5] :
        ( sk_c1 != multiply(X6,sk_c8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X6)
        | sk_c7 != multiply(inverse(X7),sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c7 != multiply(X7,inverse(X7))
        | sk_c8 != multiply(X3,sk_c7) )
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f738,f423]) ).

fof(f787,plain,
    ( sk_c1 = inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f772,f346]) ).

fof(f772,plain,
    ( inverse(sk_c8) = multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f347,f652]) ).

fof(f875,plain,
    ( identity = multiply(sk_c8,multiply(sk_c1,inverse(identity)))
    | ~ spl0_2 ),
    inference(superposition,[],[f767,f46]) ).

fof(f1639,plain,
    ( identity = multiply(sk_c8,multiply(sk_c1,inverse(identity)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1638,f44]) ).

fof(f1638,plain,
    ( identity = multiply(inverse(sk_c1),multiply(sk_c1,inverse(identity)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f876,f423]) ).

fof(f876,plain,
    ( identity = multiply(inverse(sk_c7),multiply(sk_c1,inverse(identity)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f767,f332]) ).

fof(f1637,plain,
    ( identity = multiply(sk_c1,multiply(sk_c8,inverse(identity)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1636,f423]) ).

fof(f879,plain,
    ( identity = multiply(sk_c1,multiply(sk_c8,inverse(identity)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f767,f348]) ).

fof(f1635,plain,
    ( identity = multiply(sk_c1,multiply(sk_c8,inverse(identity)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f881,f423]) ).

fof(f972,plain,
    ( identity = multiply(sk_c8,multiply(sk_c1,inverse(identity)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f882,f334]) ).

fof(f990,plain,
    ( identity = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f893,f348]) ).

fof(f893,plain,
    ( identity = inverse(multiply(sk_c1,sk_c8))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f767,f347]) ).

fof(f999,plain,
    ( identity = inverse(identity)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f902,f46]) ).

fof(f902,plain,
    ( identity = inverse(multiply(sk_c8,sk_c1))
    | ~ spl0_2 ),
    inference(superposition,[],[f63,f767]) ).

fof(f1001,plain,
    ( identity = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f904,f348]) ).

fof(f904,plain,
    ( identity = inverse(multiply(sk_c1,sk_c8))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f347,f767]) ).

fof(f1631,plain,
    ( sk_c1 = inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1630,f346]) ).

fof(f1630,plain,
    ( inverse(sk_c8) = multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f911,f1021]) ).

fof(f911,plain,
    ( ! [X0] : multiply(sk_c1,identity) = multiply(X0,inverse(multiply(sk_c8,X0)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f347,f767]) ).

fof(f1629,plain,
    ( sk_c1 = inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1628,f331]) ).

fof(f1628,plain,
    ( inverse(sk_c8) = multiply(sk_c7,identity)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f912,f1021]) ).

fof(f912,plain,
    ( ! [X0] : multiply(sk_c7,identity) = multiply(X0,inverse(multiply(sk_c8,X0)))
    | ~ spl0_1 ),
    inference(superposition,[],[f326,f767]) ).

fof(f1624,plain,
    ( sk_c1 = inverse(sk_c8)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1042,f1110]) ).

fof(f1042,plain,
    ( ! [X0] : inverse(sk_c8) = multiply(multiply(sk_c1,X0),inverse(X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f1021,f63]) ).

fof(f1619,plain,
    ( sk_c1 = multiply(sk_c1,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1618,f423]) ).

fof(f1618,plain,
    ( sk_c7 = multiply(sk_c1,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1050,f40]) ).

fof(f1050,plain,
    ( inverse(sk_c8) = multiply(sk_c1,inverse(identity))
    | ~ spl0_2 ),
    inference(superposition,[],[f1021,f46]) ).

fof(f1617,plain,
    ( sk_c1 = multiply(sk_c1,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1616,f423]) ).

fof(f1616,plain,
    ( sk_c7 = multiply(sk_c1,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1051,f672]) ).

fof(f1051,plain,
    ( inverse(inverse(sk_c7)) = multiply(sk_c1,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1021,f332]) ).

fof(f1615,plain,
    ( sk_c8 = multiply(sk_c8,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1614,f44]) ).

fof(f1614,plain,
    ( inverse(sk_c1) = multiply(sk_c8,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1613,f423]) ).

fof(f1612,plain,
    ( sk_c8 = multiply(sk_c8,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1054,f44]) ).

fof(f1054,plain,
    ( inverse(sk_c1) = multiply(sk_c8,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1021,f348]) ).

fof(f1611,plain,
    ( sk_c8 = multiply(sk_c8,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1610,f44]) ).

fof(f1610,plain,
    ( inverse(sk_c1) = multiply(sk_c8,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1056,f423]) ).

fof(f1609,plain,
    ( sk_c1 = multiply(sk_c1,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1608,f423]) ).

fof(f1608,plain,
    ( sk_c7 = multiply(sk_c1,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1607,f40]) ).

fof(f1607,plain,
    ( inverse(sk_c8) = multiply(sk_c1,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1057,f423]) ).

fof(f1603,plain,
    ( sk_c8 = multiply(sk_c8,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1602,f44]) ).

fof(f1602,plain,
    ( inverse(sk_c1) = multiply(sk_c8,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1182,f423]) ).

fof(f1601,plain,
    ( sk_c1 = multiply(sk_c1,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1600,f423]) ).

fof(f1600,plain,
    ( sk_c7 = multiply(sk_c1,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1183,f672]) ).

fof(f1183,plain,
    ( inverse(inverse(sk_c7)) = multiply(sk_c1,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1110,f338]) ).

fof(f1185,plain,
    ( sk_c1 = multiply(sk_c1,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1110,f346]) ).

fof(f1186,plain,
    ( sk_c8 = multiply(sk_c8,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1110,f358]) ).

fof(f1598,plain,
    ( sk_c1 = multiply(sk_c1,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1187,f423]) ).

fof(f1187,plain,
    ( sk_c7 = multiply(sk_c1,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1110,f331]) ).

fof(f1587,plain,
    ( sk_c1 = multiply(sk_c1,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1371,f423]) ).

fof(f1371,plain,
    ( sk_c7 = multiply(sk_c1,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1025,f332]) ).

fof(f1586,plain,
    ( sk_c8 = multiply(sk_c8,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1585,f44]) ).

fof(f1585,plain,
    ( inverse(sk_c1) = multiply(sk_c8,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1372,f423]) ).

fof(f1519,plain,
    ( identity = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1518,f2]) ).

fof(f1518,plain,
    ( inverse(identity) = multiply(inverse(sk_c8),sk_c8)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1517,f44]) ).

fof(f1517,plain,
    ( inverse(identity) = multiply(inverse(sk_c8),inverse(sk_c1))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1473,f423]) ).

fof(f1582,plain,
    ( identity = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1521,f2]) ).

fof(f1521,plain,
    ( multiply(inverse(sk_c1),sk_c1) = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1520,f423]) ).

fof(f1520,plain,
    ( inverse(identity) = multiply(inverse(sk_c1),sk_c7)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1474,f672]) ).

fof(f1474,plain,
    ( inverse(identity) = multiply(inverse(sk_c1),inverse(inverse(sk_c7)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1114,f338]) ).

fof(f1581,plain,
    ( identity = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1476,f2]) ).

fof(f1476,plain,
    ( multiply(inverse(sk_c1),sk_c1) = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1114,f346]) ).

fof(f1525,plain,
    ( identity = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1477,f2]) ).

fof(f1477,plain,
    ( inverse(identity) = multiply(inverse(sk_c8),sk_c8)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1114,f358]) ).

fof(f1580,plain,
    ( identity = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1526,f2]) ).

fof(f1526,plain,
    ( multiply(inverse(sk_c1),sk_c1) = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1478,f423]) ).

fof(f1478,plain,
    ( inverse(identity) = multiply(inverse(sk_c1),sk_c7)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1114,f331]) ).

fof(f1551,plain,
    ( sk_c1 = inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1493,f204]) ).

fof(f1493,plain,
    ( inverse(sk_c8) = multiply(inverse(identity),sk_c1)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1114,f348]) ).

fof(f426,plain,
    ( sk_c1 = sk_c7
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f425,f331]) ).

fof(f425,plain,
    ( sk_c7 = multiply(sk_c7,identity)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f421,f40]) ).

fof(f421,plain,
    ( sk_c7 = multiply(inverse(sk_c8),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f60,f406]) ).

fof(f424,plain,
    ( sk_c1 = sk_c7
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f420,f331]) ).

fof(f420,plain,
    ( sk_c7 = multiply(sk_c7,identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f326,f406]) ).

fof(f371,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(inverse(sk_c7)),X0)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f370,f1]) ).

fof(f370,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(inverse(sk_c7)),multiply(identity,X0))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f338]) ).

fof(f369,plain,
    ( identity = multiply(inverse(inverse(inverse(sk_c7))),sk_c1)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f60,f338]) ).

fof(f362,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c8,X0)) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f360,f1]) ).

fof(f360,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c1,multiply(sk_c8,X0))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f348]) ).

fof(f361,plain,
    ( sk_c8 = multiply(sk_c8,identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f359,f44]) ).

fof(f359,plain,
    ( sk_c8 = multiply(inverse(sk_c1),identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f60,f348]) ).

fof(f353,plain,
    ( identity = multiply(sk_c1,sk_c8)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f327,f334]) ).

fof(f352,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c8,X0)) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f326,f334]) ).

fof(f351,plain,
    ( sk_c1 = multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f331,f334]) ).

fof(f349,plain,
    ( ! [X0] : multiply(inverse(sk_c7),multiply(sk_c1,X0)) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f60,f334]) ).

fof(f341,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c7,X0)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f326,f63]) ).

fof(f340,plain,
    ( ! [X0] : multiply(inverse(sk_c7),multiply(sk_c1,X0)) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f339,f1]) ).

fof(f339,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(sk_c7),multiply(sk_c1,X0))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f332]) ).

fof(f212,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c8),X0)
    | ~ spl0_2 ),
    inference(superposition,[],[f60,f63]) ).

fof(f3621,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3620]) ).

fof(f3620,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f3619,f8,f6,f7,f5,f9,f1,f2,f4,f44,f46,f3,f63,f60,f208,f218,f212,f36,f27,f25,f23,f21,f19,f17,f15,f13,f11,f33,f31,f29,f24,f22,f20,f18,f16,f14,f12,f10,f28,f40,f327,f330,f331,f328,f332,f340,f326,f341,f343,f334,f349,f351,f352,f353,f346,f348,f361,f362,f358,f335,f366,f368,f338,f369,f371,f30,f347,f204,f402,f337,f410,f411,f406,f424,f426,f423,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f1551,f1580,f1525,f1581,f1523,f1582,f1519,f1583,f1464,f1384,f1375,f1586,f1587,f1588,f1590,f1592,f1356,f1326,f1320,f1594,f1598,f1186,f1185,f1599,f1601,f1603,f1181,f1218,f1068,f1061,f1609,f1611,f1612,f1615,f1617,f1619,f1048,f1620,f1624,f1626,f1627,f1080,f1629,f1631,f1003,f1002,f1001,f1000,f999,f992,f991,f990,f989,f886,f972,f1635,f879,f1637,f1639,f875,f874,f956,f1644,f854,f787,f768,f762,f1652,f720,f1654,f686,f685,f710,f1655,f675,f674,f699,f634,f631,f1671,f1674,f1676,f1685,f463,f1686,f379,f1687,f1688,f1701,f1702,f1692,f1693,f1704,f1695,f1696,f1697,f1699,f790,f988,f1422,f2268,f2274,f2278,f2280,f1531,f1481,f1479,f2327,f1718,f2100,f1595,f1305,f1717,f2329,f1209,f2386,f2387,f2393,f2397,f2398,f2400,f1270,f2422,f2423,f2429,f2433,f2434,f2436,f2323,f1584,f1387,f1386,f1166,f1071,f1070,f1653,f2435,f2399,f2321,f2288,f1673,f2249,f2248,f1597,f1190,f1188,f2325,f1716,f1591,f1402,f1353,f2521,f26,f3546,f3547,f3548,f3549,f3550,f3558,f1684,f3560,f1669,f3561,f3562,f1668,f3563,f374,f32,f3553,f3551]) ).

fof(f3619,plain,
    ( sk_c8 = sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3372,f2518]) ).

fof(f3372,plain,
    ( sk_c6 = multiply(sk_c1,sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_12 ),
    inference(superposition,[],[f1270,f3265]) ).

fof(f3618,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_8
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3617]) ).

fof(f3617,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_8
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f3374,f8,f6,f7,f5,f9,f1,f2,f4,f44,f46,f3,f63,f60,f208,f218,f212,f36,f27,f25,f23,f21,f19,f17,f15,f13,f11,f33,f31,f29,f24,f22,f20,f18,f16,f14,f12,f10,f28,f40,f327,f330,f331,f328,f332,f340,f326,f341,f343,f334,f349,f351,f352,f353,f346,f348,f361,f362,f358,f335,f366,f368,f338,f369,f371,f30,f347,f204,f402,f337,f410,f411,f406,f424,f426,f423,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f1551,f1580,f1525,f1581,f1523,f1582,f1519,f1583,f1464,f1384,f1375,f1586,f1587,f1588,f1590,f1592,f1356,f1326,f1320,f1594,f1598,f1186,f1185,f1599,f1601,f1603,f1181,f1218,f1068,f1061,f1609,f1611,f1612,f1615,f1617,f1619,f1048,f1620,f1624,f1626,f1627,f1080,f1629,f1631,f1003,f1002,f1001,f1000,f999,f992,f991,f990,f989,f886,f972,f1635,f879,f1637,f1639,f875,f874,f956,f1644,f854,f787,f768,f762,f1652,f720,f1654,f686,f685,f710,f1655,f675,f674,f699,f634,f631,f1671,f1674,f1676,f1685,f463,f1686,f379,f1687,f1688,f1701,f1702,f1692,f1693,f1704,f1695,f1696,f1697,f1699,f790,f988,f1422,f2268,f2274,f2278,f2280,f1531,f1481,f1479,f2327,f1718,f2100,f1595,f1305,f1717,f2329,f1209,f2386,f2387,f2393,f2397,f2398,f2400,f1270,f2422,f2423,f2429,f2433,f2434,f2436,f2323,f1584,f1387,f1386,f1166,f1071,f1070,f1653,f2435,f2399,f2321,f2288,f1673,f2249,f2248,f1597,f1190,f1188,f2325,f1716,f1591,f1402,f1353,f2521,f26,f3546,f3547,f3548,f3549,f3550,f3558,f1684,f3560,f1669,f3561,f3562,f1668,f3563,f374,f32,f3553,f3551]) ).

fof(f3374,plain,
    ( sk_c8 = multiply(sk_c5,sk_c1)
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(superposition,[],[f1754,f3265]) ).

fof(f1754,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c6,X0)) = X0
    | ~ spl0_8 ),
    inference(superposition,[],[f655,f1742]) ).

fof(f3616,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3615]) ).

fof(f3615,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f3411,f8,f6,f7,f5,f9,f1,f2,f4,f44,f46,f3,f63,f60,f208,f218,f212,f36,f27,f25,f23,f21,f19,f17,f15,f13,f11,f33,f31,f29,f24,f22,f20,f18,f16,f14,f12,f10,f28,f40,f327,f330,f331,f328,f332,f340,f326,f341,f343,f334,f349,f351,f352,f353,f346,f348,f361,f362,f358,f335,f366,f368,f338,f369,f371,f30,f347,f204,f402,f337,f410,f411,f406,f424,f426,f423,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f1551,f1580,f1525,f1581,f1523,f1582,f1519,f1583,f1464,f1384,f1375,f1586,f1587,f1588,f1590,f1592,f1356,f1326,f1320,f1594,f1598,f1186,f1185,f1599,f1601,f1603,f1181,f1218,f1068,f1061,f1609,f1611,f1612,f1615,f1617,f1619,f1048,f1620,f1624,f1626,f1627,f1080,f1629,f1631,f1003,f1002,f1001,f1000,f999,f992,f991,f990,f989,f886,f972,f1635,f879,f1637,f1639,f875,f874,f956,f1644,f854,f787,f768,f762,f1652,f720,f1654,f686,f685,f710,f1655,f675,f674,f699,f634,f631,f1671,f1674,f1676,f1685,f463,f1686,f379,f1687,f1688,f1701,f1702,f1692,f1693,f1704,f1695,f1696,f1697,f1699,f790,f988,f1422,f2268,f2274,f2278,f2280,f1531,f1481,f1479,f2327,f1718,f2100,f1595,f1305,f1717,f2329,f1209,f2386,f2387,f2393,f2397,f2398,f2400,f1270,f2422,f2423,f2429,f2433,f2434,f2436,f2323,f1584,f1387,f1386,f1166,f1071,f1070,f1653,f2435,f2399,f2321,f2288,f1673,f2249,f2248,f1597,f1190,f1188,f2325,f1716,f1591,f1402,f1353,f2521,f26,f3546,f3547,f3548,f3549,f3550,f3558,f1684,f3560,f1669,f3561,f3562,f1668,f3563,f374,f32,f3553,f3551]) ).

fof(f3411,plain,
    ( sk_c1 = multiply(sk_c6,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3410,f423]) ).

fof(f3410,plain,
    ( sk_c7 = multiply(sk_c6,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3409,f40]) ).

fof(f3409,plain,
    ( inverse(sk_c8) = multiply(sk_c6,sk_c6)
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3407,f2518]) ).

fof(f3407,plain,
    ( inverse(multiply(sk_c1,sk_c1)) = multiply(sk_c6,sk_c6)
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(superposition,[],[f2740,f3383]) ).

fof(f3383,plain,
    ( sk_c1 = sk_c5
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3382,f3241]) ).

fof(f3241,plain,
    ( sk_c1 = multiply(sk_c8,sk_c8)
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f3229,f44]) ).

fof(f3229,plain,
    ( sk_c1 = multiply(inverse(sk_c1),sk_c8)
    | ~ spl0_10 ),
    inference(superposition,[],[f60,f2518]) ).

fof(f3382,plain,
    ( sk_c5 = multiply(sk_c8,sk_c8)
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3373,f44]) ).

fof(f3373,plain,
    ( sk_c5 = multiply(sk_c8,inverse(sk_c1))
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(superposition,[],[f2373,f3265]) ).

fof(f2373,plain,
    ( ! [X0] : sk_c5 = multiply(X0,inverse(multiply(sk_c6,X0)))
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2360,f654]) ).

fof(f2360,plain,
    ( ! [X0] : multiply(X0,inverse(multiply(sk_c6,X0))) = multiply(sk_c5,identity)
    | ~ spl0_8 ),
    inference(superposition,[],[f1754,f767]) ).

fof(f2740,plain,
    ( multiply(sk_c6,sk_c6) = inverse(multiply(sk_c5,sk_c5))
    | ~ spl0_8 ),
    inference(superposition,[],[f1749,f1768]) ).

fof(f1768,plain,
    ( ! [X0] : sk_c6 = multiply(X0,inverse(multiply(sk_c5,X0)))
    | ~ spl0_8 ),
    inference(superposition,[],[f1025,f1755]) ).

fof(f1749,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c5,X0)) = X0
    | ~ spl0_8 ),
    inference(superposition,[],[f60,f1742]) ).

fof(f3614,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3613]) ).

fof(f3613,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f3612,f8,f6,f7,f5,f9,f1,f2,f4,f44,f46,f3,f63,f60,f208,f218,f212,f36,f27,f25,f23,f21,f19,f17,f15,f13,f11,f33,f31,f29,f24,f22,f20,f18,f16,f14,f12,f10,f28,f40,f327,f330,f331,f328,f332,f340,f326,f341,f343,f334,f349,f351,f352,f353,f346,f348,f361,f362,f358,f335,f366,f368,f338,f369,f371,f30,f347,f204,f402,f337,f410,f411,f406,f424,f426,f423,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f1551,f1580,f1525,f1581,f1523,f1582,f1519,f1583,f1464,f1384,f1375,f1586,f1587,f1588,f1590,f1592,f1356,f1326,f1320,f1594,f1598,f1186,f1185,f1599,f1601,f1603,f1181,f1218,f1068,f1061,f1609,f1611,f1612,f1615,f1617,f1619,f1048,f1620,f1624,f1626,f1627,f1080,f1629,f1631,f1003,f1002,f1001,f1000,f999,f992,f991,f990,f989,f886,f972,f1635,f879,f1637,f1639,f875,f874,f956,f1644,f854,f787,f768,f762,f1652,f720,f1654,f686,f685,f710,f1655,f675,f674,f699,f634,f631,f1671,f1674,f1676,f1685,f463,f1686,f379,f1687,f1688,f1701,f1702,f1692,f1693,f1704,f1695,f1696,f1697,f1699,f790,f988,f1422,f2268,f2274,f2278,f2280,f1531,f1481,f1479,f2327,f1718,f2100,f1595,f1305,f1717,f2329,f1209,f2386,f2387,f2393,f2397,f2398,f2400,f1270,f2422,f2423,f2429,f2433,f2434,f2436,f2323,f1584,f1387,f1386,f1166,f1071,f1070,f1653,f2435,f2399,f2321,f2288,f1673,f2249,f2248,f1597,f1190,f1188,f2325,f1716,f1591,f1402,f1353,f2521,f26,f3546,f3547,f3548,f3549,f3550,f3558,f1684,f3560,f1669,f3561,f3562,f1668,f3563,f374,f32,f3553,f3551]) ).

fof(f3612,plain,
    ( sk_c1 = sk_c5
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3382,f3241]) ).

fof(f3611,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3610]) ).

fof(f3610,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f3383,f8,f6,f7,f5,f9,f1,f2,f4,f44,f46,f3,f63,f60,f208,f218,f212,f36,f27,f25,f23,f21,f19,f17,f15,f13,f11,f33,f31,f29,f24,f22,f20,f18,f16,f14,f12,f10,f28,f40,f327,f330,f331,f328,f332,f340,f326,f341,f343,f334,f349,f351,f352,f353,f346,f348,f361,f362,f358,f335,f366,f368,f338,f369,f371,f30,f347,f204,f402,f337,f410,f411,f406,f424,f426,f423,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f1551,f1580,f1525,f1581,f1523,f1582,f1519,f1583,f1464,f1384,f1375,f1586,f1587,f1588,f1590,f1592,f1356,f1326,f1320,f1594,f1598,f1186,f1185,f1599,f1601,f1603,f1181,f1218,f1068,f1061,f1609,f1611,f1612,f1615,f1617,f1619,f1048,f1620,f1624,f1626,f1627,f1080,f1629,f1631,f1003,f1002,f1001,f1000,f999,f992,f991,f990,f989,f886,f972,f1635,f879,f1637,f1639,f875,f874,f956,f1644,f854,f787,f768,f762,f1652,f720,f1654,f686,f685,f710,f1655,f675,f674,f699,f634,f631,f1671,f1674,f1676,f1685,f463,f1686,f379,f1687,f1688,f1701,f1702,f1692,f1693,f1704,f1695,f1696,f1697,f1699,f790,f988,f1422,f2268,f2274,f2278,f2280,f1531,f1481,f1479,f2327,f1718,f2100,f1595,f1305,f1717,f2329,f1209,f2386,f2387,f2393,f2397,f2398,f2400,f1270,f2422,f2423,f2429,f2433,f2434,f2436,f2323,f1584,f1387,f1386,f1166,f1071,f1070,f1653,f2435,f2399,f2321,f2288,f1673,f2249,f2248,f1597,f1190,f1188,f2325,f1716,f1591,f1402,f1353,f2521,f26,f3546,f3547,f3548,f3549,f3550,f3558,f1684,f3560,f1669,f3561,f3562,f1668,f3563,f374,f32,f3553,f3551]) ).

fof(f3609,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3608]) ).

fof(f3608,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f3386,f8,f6,f7,f5,f9,f1,f2,f4,f44,f46,f3,f63,f60,f208,f218,f212,f36,f27,f25,f23,f21,f19,f17,f15,f13,f11,f33,f31,f29,f24,f22,f20,f18,f16,f14,f12,f10,f28,f40,f327,f330,f331,f328,f332,f340,f326,f341,f343,f334,f349,f351,f352,f353,f346,f348,f361,f362,f358,f335,f366,f368,f338,f369,f371,f30,f347,f204,f402,f337,f410,f411,f406,f424,f426,f423,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f1551,f1580,f1525,f1581,f1523,f1582,f1519,f1583,f1464,f1384,f1375,f1586,f1587,f1588,f1590,f1592,f1356,f1326,f1320,f1594,f1598,f1186,f1185,f1599,f1601,f1603,f1181,f1218,f1068,f1061,f1609,f1611,f1612,f1615,f1617,f1619,f1048,f1620,f1624,f1626,f1627,f1080,f1629,f1631,f1003,f1002,f1001,f1000,f999,f992,f991,f990,f989,f886,f972,f1635,f879,f1637,f1639,f875,f874,f956,f1644,f854,f787,f768,f762,f1652,f720,f1654,f686,f685,f710,f1655,f675,f674,f699,f634,f631,f1671,f1674,f1676,f1685,f463,f1686,f379,f1687,f1688,f1701,f1702,f1692,f1693,f1704,f1695,f1696,f1697,f1699,f790,f988,f1422,f2268,f2274,f2278,f2280,f1531,f1481,f1479,f2327,f1718,f2100,f1595,f1305,f1717,f2329,f1209,f2386,f2387,f2393,f2397,f2398,f2400,f1270,f2422,f2423,f2429,f2433,f2434,f2436,f2323,f1584,f1387,f1386,f1166,f1071,f1070,f1653,f2435,f2399,f2321,f2288,f1673,f2249,f2248,f1597,f1190,f1188,f2325,f1716,f1591,f1402,f1353,f2521,f26,f3546,f3547,f3548,f3549,f3550,f3558,f1684,f3560,f1669,f3561,f3562,f1668,f3563,f374,f32,f3553,f3551]) ).

fof(f3386,plain,
    ( sk_c1 = multiply(sk_c8,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3385,f423]) ).

fof(f3385,plain,
    ( sk_c7 = multiply(sk_c8,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3384,f40]) ).

fof(f3384,plain,
    ( inverse(sk_c8) = multiply(sk_c8,sk_c6)
    | ~ spl0_2
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3375,f44]) ).

fof(f3375,plain,
    ( inverse(sk_c8) = multiply(inverse(sk_c1),sk_c6)
    | ~ spl0_12 ),
    inference(superposition,[],[f1114,f3265]) ).

fof(f3607,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3606]) ).

fof(f3606,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f3605,f8,f6,f7,f5,f9,f1,f2,f4,f44,f46,f3,f63,f60,f208,f218,f212,f36,f27,f25,f23,f21,f19,f17,f15,f13,f11,f33,f31,f29,f24,f22,f20,f18,f16,f14,f12,f10,f28,f40,f327,f330,f331,f328,f332,f340,f326,f341,f343,f334,f349,f351,f352,f353,f346,f348,f361,f362,f358,f335,f366,f368,f338,f369,f371,f30,f347,f204,f402,f337,f410,f411,f406,f424,f426,f423,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f1551,f1580,f1525,f1581,f1523,f1582,f1519,f1583,f1464,f1384,f1375,f1586,f1587,f1588,f1590,f1592,f1356,f1326,f1320,f1594,f1598,f1186,f1185,f1599,f1601,f1603,f1181,f1218,f1068,f1061,f1609,f1611,f1612,f1615,f1617,f1619,f1048,f1620,f1624,f1626,f1627,f1080,f1629,f1631,f1003,f1002,f1001,f1000,f999,f992,f991,f990,f989,f886,f972,f1635,f879,f1637,f1639,f875,f874,f956,f1644,f854,f787,f768,f762,f1652,f720,f1654,f686,f685,f710,f1655,f675,f674,f699,f634,f631,f1671,f1674,f1676,f1685,f463,f1686,f379,f1687,f1688,f1701,f1702,f1692,f1693,f1704,f1695,f1696,f1697,f1699,f790,f988,f1422,f2268,f2274,f2278,f2280,f1531,f1481,f1479,f2327,f1718,f2100,f1595,f1305,f1717,f2329,f1209,f2386,f2387,f2393,f2397,f2398,f2400,f1270,f2422,f2423,f2429,f2433,f2434,f2436,f2323,f1584,f1387,f1386,f1166,f1071,f1070,f1653,f2435,f2399,f2321,f2288,f1673,f2249,f2248,f1597,f1190,f1188,f2325,f1716,f1591,f1402,f1353,f2521,f26,f3546,f3547,f3548,f3549,f3550,f3558,f1684,f3560,f1669,f3561,f3562,f1668,f3563,f374,f32,f3553,f3551]) ).

fof(f3605,plain,
    ( sk_c8 = sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3604,f2518]) ).

fof(f3604,plain,
    ( sk_c6 = multiply(sk_c1,sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3387,f423]) ).

fof(f3387,plain,
    ( sk_c6 = multiply(sk_c1,sk_c7)
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3376,f40]) ).

fof(f3376,plain,
    ( sk_c6 = multiply(sk_c1,inverse(sk_c8))
    | ~ spl0_12 ),
    inference(superposition,[],[f1110,f3265]) ).

fof(f3603,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3602]) ).

fof(f3602,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f3601,f8,f6,f7,f5,f9,f1,f2,f4,f44,f46,f3,f63,f60,f208,f218,f212,f36,f27,f25,f23,f21,f19,f17,f15,f13,f11,f33,f31,f29,f24,f22,f20,f18,f16,f14,f12,f10,f28,f40,f327,f330,f331,f328,f332,f340,f326,f341,f343,f334,f349,f351,f352,f353,f346,f348,f361,f362,f358,f335,f366,f368,f338,f369,f371,f30,f347,f204,f402,f337,f410,f411,f406,f424,f426,f423,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f1551,f1580,f1525,f1581,f1523,f1582,f1519,f1583,f1464,f1384,f1375,f1586,f1587,f1588,f1590,f1592,f1356,f1326,f1320,f1594,f1598,f1186,f1185,f1599,f1601,f1603,f1181,f1218,f1068,f1061,f1609,f1611,f1612,f1615,f1617,f1619,f1048,f1620,f1624,f1626,f1627,f1080,f1629,f1631,f1003,f1002,f1001,f1000,f999,f992,f991,f990,f989,f886,f972,f1635,f879,f1637,f1639,f875,f874,f956,f1644,f854,f787,f768,f762,f1652,f720,f1654,f686,f685,f710,f1655,f675,f674,f699,f634,f631,f1671,f1674,f1676,f1685,f463,f1686,f379,f1687,f1688,f1701,f1702,f1692,f1693,f1704,f1695,f1696,f1697,f1699,f790,f988,f1422,f2268,f2274,f2278,f2280,f1531,f1481,f1479,f2327,f1718,f2100,f1595,f1305,f1717,f2329,f1209,f2386,f2387,f2393,f2397,f2398,f2400,f1270,f2422,f2423,f2429,f2433,f2434,f2436,f2323,f1584,f1387,f1386,f1166,f1071,f1070,f1653,f2435,f2399,f2321,f2288,f1673,f2249,f2248,f1597,f1190,f1188,f2325,f1716,f1591,f1402,f1353,f2521,f26,f3546,f3547,f3548,f3549,f3550,f3558,f1684,f3560,f1669,f3561,f3562,f1668,f3563,f374,f32,f3553,f3551]) ).

fof(f3601,plain,
    ( sk_c8 = sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3388,f2518]) ).

fof(f3388,plain,
    ( sk_c6 = multiply(sk_c1,sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3387,f423]) ).

fof(f3600,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3599]) ).

fof(f3599,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f3389,f8,f6,f7,f5,f9,f1,f2,f4,f44,f46,f3,f63,f60,f208,f218,f212,f36,f27,f25,f23,f21,f19,f17,f15,f13,f11,f33,f31,f29,f24,f22,f20,f18,f16,f14,f12,f10,f28,f40,f327,f330,f331,f328,f332,f340,f326,f341,f343,f334,f349,f351,f352,f353,f346,f348,f361,f362,f358,f335,f366,f368,f338,f369,f371,f30,f347,f204,f402,f337,f410,f411,f406,f424,f426,f423,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f1551,f1580,f1525,f1581,f1523,f1582,f1519,f1583,f1464,f1384,f1375,f1586,f1587,f1588,f1590,f1592,f1356,f1326,f1320,f1594,f1598,f1186,f1185,f1599,f1601,f1603,f1181,f1218,f1068,f1061,f1609,f1611,f1612,f1615,f1617,f1619,f1048,f1620,f1624,f1626,f1627,f1080,f1629,f1631,f1003,f1002,f1001,f1000,f999,f992,f991,f990,f989,f886,f972,f1635,f879,f1637,f1639,f875,f874,f956,f1644,f854,f787,f768,f762,f1652,f720,f1654,f686,f685,f710,f1655,f675,f674,f699,f634,f631,f1671,f1674,f1676,f1685,f463,f1686,f379,f1687,f1688,f1701,f1702,f1692,f1693,f1704,f1695,f1696,f1697,f1699,f790,f988,f1422,f2268,f2274,f2278,f2280,f1531,f1481,f1479,f2327,f1718,f2100,f1595,f1305,f1717,f2329,f1209,f2386,f2387,f2393,f2397,f2398,f2400,f1270,f2422,f2423,f2429,f2433,f2434,f2436,f2323,f1584,f1387,f1386,f1166,f1071,f1070,f1653,f2435,f2399,f2321,f2288,f1673,f2249,f2248,f1597,f1190,f1188,f2325,f1716,f1591,f1402,f1353,f2521,f26,f3546,f3547,f3548,f3549,f3550,f3558,f1684,f3560,f1669,f3561,f3562,f1668,f3563,f374,f32,f3553,f3551]) ).

fof(f3389,plain,
    ( sk_c8 = sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3388,f2518]) ).

fof(f3598,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3597]) ).

fof(f3597,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f3596,f8,f6,f7,f5,f9,f1,f2,f4,f44,f46,f3,f63,f60,f208,f218,f212,f36,f27,f25,f23,f21,f19,f17,f15,f13,f11,f33,f31,f29,f24,f22,f20,f18,f16,f14,f12,f10,f28,f40,f327,f330,f331,f328,f332,f340,f326,f341,f343,f334,f349,f351,f352,f353,f346,f348,f361,f362,f358,f335,f366,f368,f338,f369,f371,f30,f347,f204,f402,f337,f410,f411,f406,f424,f426,f423,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f1551,f1580,f1525,f1581,f1523,f1582,f1519,f1583,f1464,f1384,f1375,f1586,f1587,f1588,f1590,f1592,f1356,f1326,f1320,f1594,f1598,f1186,f1185,f1599,f1601,f1603,f1181,f1218,f1068,f1061,f1609,f1611,f1612,f1615,f1617,f1619,f1048,f1620,f1624,f1626,f1627,f1080,f1629,f1631,f1003,f1002,f1001,f1000,f999,f992,f991,f990,f989,f886,f972,f1635,f879,f1637,f1639,f875,f874,f956,f1644,f854,f787,f768,f762,f1652,f720,f1654,f686,f685,f710,f1655,f675,f674,f699,f634,f631,f1671,f1674,f1676,f1685,f463,f1686,f379,f1687,f1688,f1701,f1702,f1692,f1693,f1704,f1695,f1696,f1697,f1699,f790,f988,f1422,f2268,f2274,f2278,f2280,f1531,f1481,f1479,f2327,f1718,f2100,f1595,f1305,f1717,f2329,f1209,f2386,f2387,f2393,f2397,f2398,f2400,f1270,f2422,f2423,f2429,f2433,f2434,f2436,f2323,f1584,f1387,f1386,f1166,f1071,f1070,f1653,f2435,f2399,f2321,f2288,f1673,f2249,f2248,f1597,f1190,f1188,f2325,f1716,f1591,f1402,f1353,f2521,f26,f3546,f3547,f3548,f3549,f3550,f3558,f1684,f3560,f1669,f3561,f3562,f1668,f3563,f374,f32,f3553,f3551]) ).

fof(f3596,plain,
    ( sk_c1 = sk_c5
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3391,f3241]) ).

fof(f3391,plain,
    ( sk_c5 = multiply(sk_c8,sk_c8)
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3390,f44]) ).

fof(f3390,plain,
    ( sk_c5 = multiply(sk_c8,inverse(sk_c1))
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3377,f1755]) ).

fof(f3377,plain,
    ( multiply(sk_c8,inverse(sk_c1)) = inverse(sk_c6)
    | ~ spl0_12 ),
    inference(superposition,[],[f1021,f3265]) ).

fof(f3595,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3594]) ).

fof(f3594,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f3394,f8,f6,f7,f5,f9,f1,f2,f4,f44,f46,f3,f63,f60,f208,f218,f212,f36,f27,f25,f23,f21,f19,f17,f15,f13,f11,f33,f31,f29,f24,f22,f20,f18,f16,f14,f12,f10,f28,f40,f327,f330,f331,f328,f332,f340,f326,f341,f343,f334,f349,f351,f352,f353,f346,f348,f361,f362,f358,f335,f366,f368,f338,f369,f371,f30,f347,f204,f402,f337,f410,f411,f406,f424,f426,f423,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f1551,f1580,f1525,f1581,f1523,f1582,f1519,f1583,f1464,f1384,f1375,f1586,f1587,f1588,f1590,f1592,f1356,f1326,f1320,f1594,f1598,f1186,f1185,f1599,f1601,f1603,f1181,f1218,f1068,f1061,f1609,f1611,f1612,f1615,f1617,f1619,f1048,f1620,f1624,f1626,f1627,f1080,f1629,f1631,f1003,f1002,f1001,f1000,f999,f992,f991,f990,f989,f886,f972,f1635,f879,f1637,f1639,f875,f874,f956,f1644,f854,f787,f768,f762,f1652,f720,f1654,f686,f685,f710,f1655,f675,f674,f699,f634,f631,f1671,f1674,f1676,f1685,f463,f1686,f379,f1687,f1688,f1701,f1702,f1692,f1693,f1704,f1695,f1696,f1697,f1699,f790,f988,f1422,f2268,f2274,f2278,f2280,f1531,f1481,f1479,f2327,f1718,f2100,f1595,f1305,f1717,f2329,f1209,f2386,f2387,f2393,f2397,f2398,f2400,f1270,f2422,f2423,f2429,f2433,f2434,f2436,f2323,f1584,f1387,f1386,f1166,f1071,f1070,f1653,f2435,f2399,f2321,f2288,f1673,f2249,f2248,f1597,f1190,f1188,f2325,f1716,f1591,f1402,f1353,f2521,f26,f3546,f3547,f3548,f3549,f3550,f3558,f1684,f3560,f1669,f3561,f3562,f1668,f3563,f374,f32,f3553,f3551]) ).

fof(f3394,plain,
    ( identity = multiply(sk_c6,sk_c1)
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3393,f3241]) ).

fof(f3393,plain,
    ( identity = multiply(sk_c6,multiply(sk_c8,sk_c8))
    | ~ spl0_2
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3378,f44]) ).

fof(f3378,plain,
    ( identity = multiply(sk_c6,multiply(sk_c8,inverse(sk_c1)))
    | ~ spl0_12 ),
    inference(superposition,[],[f767,f3265]) ).

fof(f3593,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_8
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3592]) ).

fof(f3592,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_8
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f3395,f8,f6,f7,f5,f9,f1,f2,f4,f44,f46,f3,f63,f60,f208,f218,f212,f36,f27,f25,f23,f21,f19,f17,f15,f13,f11,f33,f31,f29,f24,f22,f20,f18,f16,f14,f12,f10,f28,f40,f327,f330,f331,f328,f332,f340,f326,f341,f343,f334,f349,f351,f352,f353,f346,f348,f361,f362,f358,f335,f366,f368,f338,f369,f371,f30,f347,f204,f402,f337,f410,f411,f406,f424,f426,f423,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f1551,f1580,f1525,f1581,f1523,f1582,f1519,f1583,f1464,f1384,f1375,f1586,f1587,f1588,f1590,f1592,f1356,f1326,f1320,f1594,f1598,f1186,f1185,f1599,f1601,f1603,f1181,f1218,f1068,f1061,f1609,f1611,f1612,f1615,f1617,f1619,f1048,f1620,f1624,f1626,f1627,f1080,f1629,f1631,f1003,f1002,f1001,f1000,f999,f992,f991,f990,f989,f886,f972,f1635,f879,f1637,f1639,f875,f874,f956,f1644,f854,f787,f768,f762,f1652,f720,f1654,f686,f685,f710,f1655,f675,f674,f699,f634,f631,f1671,f1674,f1676,f1685,f463,f1686,f379,f1687,f1688,f1701,f1702,f1692,f1693,f1704,f1695,f1696,f1697,f1699,f790,f988,f1422,f2268,f2274,f2278,f2280,f1531,f1481,f1479,f2327,f1718,f2100,f1595,f1305,f1717,f2329,f1209,f2386,f2387,f2393,f2397,f2398,f2400,f1270,f2422,f2423,f2429,f2433,f2434,f2436,f2323,f1584,f1387,f1386,f1166,f1071,f1070,f1653,f2435,f2399,f2321,f2288,f1673,f2249,f2248,f1597,f1190,f1188,f2325,f1716,f1591,f1402,f1353,f2521,f26,f3546,f3547,f3548,f3549,f3550,f3558,f1684,f3560,f1669,f3561,f3562,f1668,f3563,f374,f32,f3553,f3551]) ).

fof(f3395,plain,
    ( sk_c8 = multiply(sk_c5,sk_c1)
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3379,f1755]) ).

fof(f3379,plain,
    ( sk_c8 = multiply(inverse(sk_c6),sk_c1)
    | ~ spl0_12 ),
    inference(superposition,[],[f60,f3265]) ).

fof(f3591,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3590]) ).

fof(f3590,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f3397,f8,f6,f7,f5,f9,f1,f2,f4,f44,f46,f3,f63,f60,f208,f218,f212,f36,f27,f25,f23,f21,f19,f17,f15,f13,f11,f33,f31,f29,f24,f22,f20,f18,f16,f14,f12,f10,f28,f40,f327,f330,f331,f328,f332,f340,f326,f341,f343,f334,f349,f351,f352,f353,f346,f348,f361,f362,f358,f335,f366,f368,f338,f369,f371,f30,f347,f204,f402,f337,f410,f411,f406,f424,f426,f423,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f1551,f1580,f1525,f1581,f1523,f1582,f1519,f1583,f1464,f1384,f1375,f1586,f1587,f1588,f1590,f1592,f1356,f1326,f1320,f1594,f1598,f1186,f1185,f1599,f1601,f1603,f1181,f1218,f1068,f1061,f1609,f1611,f1612,f1615,f1617,f1619,f1048,f1620,f1624,f1626,f1627,f1080,f1629,f1631,f1003,f1002,f1001,f1000,f999,f992,f991,f990,f989,f886,f972,f1635,f879,f1637,f1639,f875,f874,f956,f1644,f854,f787,f768,f762,f1652,f720,f1654,f686,f685,f710,f1655,f675,f674,f699,f634,f631,f1671,f1674,f1676,f1685,f463,f1686,f379,f1687,f1688,f1701,f1702,f1692,f1693,f1704,f1695,f1696,f1697,f1699,f790,f988,f1422,f2268,f2274,f2278,f2280,f1531,f1481,f1479,f2327,f1718,f2100,f1595,f1305,f1717,f2329,f1209,f2386,f2387,f2393,f2397,f2398,f2400,f1270,f2422,f2423,f2429,f2433,f2434,f2436,f2323,f1584,f1387,f1386,f1166,f1071,f1070,f1653,f2435,f2399,f2321,f2288,f1673,f2249,f2248,f1597,f1190,f1188,f2325,f1716,f1591,f1402,f1353,f2521,f26,f3546,f3547,f3548,f3549,f3550,f3558,f1684,f3560,f1669,f3561,f3562,f1668,f3563,f374,f32,f3553,f3551]) ).

fof(f3397,plain,
    ( identity = multiply(sk_c6,sk_c1)
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(superposition,[],[f1748,f3383]) ).

fof(f1748,plain,
    ( identity = multiply(sk_c6,sk_c5)
    | ~ spl0_8 ),
    inference(superposition,[],[f2,f1742]) ).

fof(f3589,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3588]) ).

fof(f3588,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f3399,f8,f6,f7,f5,f9,f1,f2,f4,f44,f46,f3,f63,f60,f208,f218,f212,f36,f27,f25,f23,f21,f19,f17,f15,f13,f11,f33,f31,f29,f24,f22,f20,f18,f16,f14,f12,f10,f28,f40,f327,f330,f331,f328,f332,f340,f326,f341,f343,f334,f349,f351,f352,f353,f346,f348,f361,f362,f358,f335,f366,f368,f338,f369,f371,f30,f347,f204,f402,f337,f410,f411,f406,f424,f426,f423,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f1551,f1580,f1525,f1581,f1523,f1582,f1519,f1583,f1464,f1384,f1375,f1586,f1587,f1588,f1590,f1592,f1356,f1326,f1320,f1594,f1598,f1186,f1185,f1599,f1601,f1603,f1181,f1218,f1068,f1061,f1609,f1611,f1612,f1615,f1617,f1619,f1048,f1620,f1624,f1626,f1627,f1080,f1629,f1631,f1003,f1002,f1001,f1000,f999,f992,f991,f990,f989,f886,f972,f1635,f879,f1637,f1639,f875,f874,f956,f1644,f854,f787,f768,f762,f1652,f720,f1654,f686,f685,f710,f1655,f675,f674,f699,f634,f631,f1671,f1674,f1676,f1685,f463,f1686,f379,f1687,f1688,f1701,f1702,f1692,f1693,f1704,f1695,f1696,f1697,f1699,f790,f988,f1422,f2268,f2274,f2278,f2280,f1531,f1481,f1479,f2327,f1718,f2100,f1595,f1305,f1717,f2329,f1209,f2386,f2387,f2393,f2397,f2398,f2400,f1270,f2422,f2423,f2429,f2433,f2434,f2436,f2323,f1584,f1387,f1386,f1166,f1071,f1070,f1653,f2435,f2399,f2321,f2288,f1673,f2249,f2248,f1597,f1190,f1188,f2325,f1716,f1591,f1402,f1353,f2521,f26,f3546,f3547,f3548,f3549,f3550,f3558,f1684,f3560,f1669,f3561,f3562,f1668,f3563,f374,f32,f3553,f3551]) ).

fof(f3399,plain,
    ( identity = multiply(sk_c1,sk_c6)
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(superposition,[],[f1753,f3383]) ).

fof(f1753,plain,
    ( identity = multiply(sk_c5,sk_c6)
    | ~ spl0_8 ),
    inference(superposition,[],[f652,f1742]) ).

fof(f3587,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3586]) ).

fof(f3586,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f3408,f8,f6,f7,f5,f9,f1,f2,f4,f44,f46,f3,f63,f60,f208,f218,f212,f36,f27,f25,f23,f21,f19,f17,f15,f13,f11,f33,f31,f29,f24,f22,f20,f18,f16,f14,f12,f10,f28,f40,f327,f330,f331,f328,f332,f340,f326,f341,f343,f334,f349,f351,f352,f353,f346,f348,f361,f362,f358,f335,f366,f368,f338,f369,f371,f30,f347,f204,f402,f337,f410,f411,f406,f424,f426,f423,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f1551,f1580,f1525,f1581,f1523,f1582,f1519,f1583,f1464,f1384,f1375,f1586,f1587,f1588,f1590,f1592,f1356,f1326,f1320,f1594,f1598,f1186,f1185,f1599,f1601,f1603,f1181,f1218,f1068,f1061,f1609,f1611,f1612,f1615,f1617,f1619,f1048,f1620,f1624,f1626,f1627,f1080,f1629,f1631,f1003,f1002,f1001,f1000,f999,f992,f991,f990,f989,f886,f972,f1635,f879,f1637,f1639,f875,f874,f956,f1644,f854,f787,f768,f762,f1652,f720,f1654,f686,f685,f710,f1655,f675,f674,f699,f634,f631,f1671,f1674,f1676,f1685,f463,f1686,f379,f1687,f1688,f1701,f1702,f1692,f1693,f1704,f1695,f1696,f1697,f1699,f790,f988,f1422,f2268,f2274,f2278,f2280,f1531,f1481,f1479,f2327,f1718,f2100,f1595,f1305,f1717,f2329,f1209,f2386,f2387,f2393,f2397,f2398,f2400,f1270,f2422,f2423,f2429,f2433,f2434,f2436,f2323,f1584,f1387,f1386,f1166,f1071,f1070,f1653,f2435,f2399,f2321,f2288,f1673,f2249,f2248,f1597,f1190,f1188,f2325,f1716,f1591,f1402,f1353,f2521,f26,f3546,f3547,f3548,f3549,f3550,f3558,f1684,f3560,f1669,f3561,f3562,f1668,f3563,f374,f32,f3553,f3551]) ).

fof(f3408,plain,
    ( sk_c8 = sk_c6
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3396,f44]) ).

fof(f3396,plain,
    ( inverse(sk_c1) = sk_c6
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(superposition,[],[f1742,f3383]) ).

fof(f3585,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3584]) ).

fof(f3584,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | spl0_11 ),
    inference(global_subsumption,[],[f8,f6,f7,f5,f9,f1,f2,f4,f44,f46,f3,f63,f60,f208,f218,f212,f36,f27,f25,f23,f21,f19,f17,f15,f13,f11,f33,f31,f29,f24,f22,f20,f18,f16,f14,f12,f10,f28,f40,f327,f330,f331,f328,f332,f340,f326,f341,f343,f334,f349,f351,f352,f353,f346,f348,f361,f362,f358,f335,f366,f368,f338,f369,f371,f30,f347,f204,f402,f337,f410,f411,f406,f424,f426,f423,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f1551,f1580,f1525,f1581,f1523,f1582,f1519,f1583,f1464,f1384,f1375,f1586,f1587,f1588,f1590,f1592,f1356,f1326,f1320,f1594,f1598,f1186,f1185,f1599,f1601,f1603,f1181,f1218,f1068,f1061,f1609,f1611,f1612,f1615,f1617,f1619,f1048,f1620,f1624,f1626,f1627,f1080,f1629,f1631,f1003,f1002,f1001,f1000,f999,f992,f991,f990,f989,f886,f972,f1635,f879,f1637,f1639,f875,f874,f956,f1644,f854,f787,f768,f762,f1652,f720,f1654,f686,f685,f710,f1655,f675,f674,f699,f634,f631,f1671,f1674,f1676,f1685,f463,f1686,f379,f1687,f1688,f1701,f1702,f1692,f1693,f1704,f1695,f1696,f1697,f1699,f790,f988,f1422,f2268,f2274,f2278,f2280,f1531,f1481,f1479,f2327,f1718,f2100,f1595,f1305,f1717,f2329,f1209,f2386,f2387,f2393,f2397,f2398,f2400,f1270,f2422,f2423,f2429,f2433,f2434,f2436,f2323,f1584,f1387,f1386,f1166,f1071,f1070,f1653,f2435,f2399,f2321,f2288,f1673,f2249,f2248,f1597,f1190,f1188,f2325,f1716,f1591,f1402,f1353,f2521,f26,f3546,f3547,f3548,f3549,f3550,f3558,f1684,f3560,f1669,f3561,f3562,f1668,f3563,f374,f32,f3553,f3551]) ).

fof(f3583,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3582]) ).

fof(f3582,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | spl0_11 ),
    inference(global_subsumption,[],[f8,f6,f7,f5,f9,f1,f2,f4,f44,f46,f3,f63,f60,f208,f218,f212,f36,f27,f25,f23,f21,f19,f17,f15,f13,f11,f33,f31,f29,f24,f22,f20,f18,f16,f14,f12,f10,f28,f40,f327,f330,f331,f328,f332,f340,f326,f341,f343,f334,f349,f351,f352,f353,f346,f348,f361,f362,f358,f335,f366,f368,f338,f369,f371,f30,f347,f204,f402,f337,f410,f411,f406,f424,f426,f423,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f1551,f1580,f1525,f1581,f1523,f1582,f1519,f1583,f1464,f1384,f1375,f1586,f1587,f1588,f1590,f1592,f1356,f1326,f1320,f1594,f1598,f1186,f1185,f1599,f1601,f1603,f1181,f1218,f1068,f1061,f1609,f1611,f1612,f1615,f1617,f1619,f1048,f1620,f1624,f1626,f1627,f1080,f1629,f1631,f1003,f1002,f1001,f1000,f999,f992,f991,f990,f989,f886,f972,f1635,f879,f1637,f1639,f875,f874,f956,f1644,f854,f787,f768,f762,f1652,f720,f1654,f686,f685,f710,f1655,f675,f674,f699,f634,f631,f1671,f1674,f1676,f1685,f463,f1686,f379,f1687,f1688,f1701,f1702,f1692,f1693,f1704,f1695,f1696,f1697,f1699,f790,f988,f1422,f2268,f2274,f2278,f2280,f1531,f1481,f1479,f2327,f1718,f2100,f1595,f1305,f1717,f2329,f1209,f2386,f2387,f2393,f2397,f2398,f2400,f1270,f2422,f2423,f2429,f2433,f2434,f2436,f2323,f1584,f1387,f1386,f1166,f1071,f1070,f1653,f2435,f2399,f2321,f2288,f1673,f2249,f2248,f1597,f1190,f1188,f2325,f1716,f1591,f1402,f1353,f2521,f26,f3546,f3547,f3548,f3549,f3550,f3551,f3558,f1684,f3560,f1669,f3561,f3562,f1668,f3563,f374,f32,f3553]) ).

fof(f3581,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3580]) ).

fof(f3580,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | spl0_11 ),
    inference(global_subsumption,[],[f8,f6,f7,f5,f9,f1,f2,f4,f44,f46,f3,f63,f60,f208,f218,f212,f36,f27,f25,f23,f21,f19,f17,f15,f13,f11,f33,f31,f29,f24,f22,f20,f18,f16,f14,f12,f10,f28,f40,f327,f330,f331,f328,f332,f340,f326,f341,f343,f334,f349,f351,f352,f353,f346,f348,f361,f362,f358,f335,f366,f368,f338,f369,f371,f30,f347,f204,f402,f337,f410,f411,f406,f424,f426,f423,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f1551,f1580,f1525,f1581,f1523,f1582,f1519,f1583,f1464,f1384,f1375,f1586,f1587,f1588,f1590,f1592,f1356,f1326,f1320,f1594,f1598,f1186,f1185,f1599,f1601,f1603,f1181,f1218,f1068,f1061,f1609,f1611,f1612,f1615,f1617,f1619,f1048,f1620,f1624,f1626,f1627,f1080,f1629,f1631,f1003,f1002,f1001,f1000,f999,f992,f991,f990,f989,f886,f972,f1635,f879,f1637,f1639,f875,f874,f956,f1644,f854,f787,f768,f762,f1652,f720,f1654,f686,f685,f710,f1655,f675,f674,f699,f634,f631,f1671,f1674,f1676,f1685,f463,f1686,f379,f1687,f1688,f1701,f1702,f1692,f1693,f1704,f1695,f1696,f1697,f1699,f790,f988,f1422,f2268,f2274,f2278,f2280,f1531,f1481,f1479,f2327,f1718,f2100,f1595,f1305,f1717,f2329,f1209,f2386,f2387,f2393,f2397,f2398,f2400,f1270,f2422,f2423,f2429,f2433,f2434,f2436,f2323,f1584,f1387,f1386,f1166,f1071,f1070,f1653,f2435,f2399,f2321,f2288,f1673,f2249,f2248,f1597,f1190,f1188,f2325,f1716,f1591,f1402,f1353,f2521,f26,f3546,f3547,f3548,f3549,f3550,f3551,f3553,f3558,f1684,f3560,f1669,f3561,f3562,f1668,f3563,f374,f32]) ).

fof(f3579,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3578]) ).

fof(f3578,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | spl0_11 ),
    inference(global_subsumption,[],[f8,f6,f7,f5,f9,f1,f2,f4,f44,f46,f3,f63,f60,f208,f218,f212,f36,f27,f25,f23,f21,f19,f17,f15,f13,f11,f33,f31,f29,f24,f22,f20,f18,f16,f14,f12,f10,f28,f40,f327,f330,f331,f328,f332,f340,f326,f341,f343,f334,f349,f351,f352,f353,f346,f348,f361,f362,f358,f335,f366,f368,f338,f369,f371,f30,f347,f204,f402,f337,f410,f411,f406,f424,f426,f423,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f1551,f1580,f1525,f1581,f1523,f1582,f1519,f1583,f1464,f1384,f1375,f1586,f1587,f1588,f1590,f1592,f1356,f1326,f1320,f1594,f1598,f1186,f1185,f1599,f1601,f1603,f1181,f1218,f1068,f1061,f1609,f1611,f1612,f1615,f1617,f1619,f1048,f1620,f1624,f1626,f1627,f1080,f1629,f1631,f1003,f1002,f1001,f1000,f999,f992,f991,f990,f989,f886,f972,f1635,f879,f1637,f1639,f875,f874,f956,f1644,f854,f787,f768,f762,f1652,f720,f1654,f686,f685,f710,f1655,f675,f674,f699,f634,f631,f1671,f1674,f1676,f1685,f463,f1686,f379,f1687,f1688,f1701,f1702,f1692,f1693,f1704,f1695,f1696,f1697,f1699,f790,f988,f1422,f2268,f2274,f2278,f2280,f1531,f1481,f1479,f2327,f1718,f2100,f1595,f1305,f1717,f2329,f1209,f2386,f2387,f2393,f2397,f2398,f2400,f1270,f2422,f2423,f2429,f2433,f2434,f2436,f2323,f1584,f1387,f1386,f1166,f1071,f1070,f1653,f2435,f2399,f2321,f2288,f1673,f2249,f2248,f1597,f1190,f1188,f2325,f1716,f1591,f1402,f1353,f2521,f26,f3546,f3547,f3548,f3549,f3550,f3551,f3553,f3558,f32,f1684,f3560,f1669,f3561,f3562,f1668,f3563,f374]) ).

fof(f3577,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_8
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3576]) ).

fof(f3576,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_8
    | spl0_11 ),
    inference(global_subsumption,[],[f1755,f8,f6,f7,f5,f9,f1,f2,f4,f44,f46,f3,f63,f60,f208,f218,f212,f36,f27,f25,f23,f21,f19,f17,f15,f13,f11,f33,f31,f29,f24,f22,f20,f18,f16,f14,f12,f10,f28,f40,f327,f330,f331,f328,f332,f340,f326,f341,f343,f334,f349,f351,f352,f353,f346,f348,f361,f362,f358,f335,f366,f368,f338,f369,f371,f30,f347,f204,f402,f337,f410,f411,f406,f424,f426,f423,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f1551,f1580,f1525,f1581,f1523,f1582,f1519,f1583,f1464,f1384,f1375,f1586,f1587,f1588,f1590,f1592,f1356,f1326,f1320,f1594,f1598,f1186,f1185,f1599,f1601,f1603,f1181,f1218,f1068,f1061,f1609,f1611,f1612,f1615,f1617,f1619,f1048,f1620,f1624,f1626,f1627,f1080,f1629,f1631,f1003,f1002,f1001,f1000,f999,f992,f991,f990,f989,f886,f972,f1635,f879,f1637,f1639,f875,f874,f956,f1644,f854,f787,f768,f762,f1652,f720,f1654,f686,f685,f710,f1655,f675,f674,f699,f634,f631,f1671,f1674,f1676,f1685,f463,f1686,f379,f1687,f1688,f1701,f1702,f1692,f1693,f1704,f1695,f1696,f1697,f1699,f790,f988,f1422,f2268,f2274,f2278,f2280,f1531,f1481,f1479,f2327,f1718,f2100,f1595,f1305,f1717,f2329,f1209,f2386,f2387,f2393,f2397,f2398,f2400,f1270,f2422,f2423,f2429,f2433,f2434,f2436,f2323,f1584,f1387,f1386,f1166,f1071,f1070,f1653,f2435,f2399,f2321,f2288,f1673,f2249,f2248,f1597,f1190,f1188,f2325,f1716,f1591,f1402,f1353,f2521,f26,f3546,f3547,f3548,f3549,f3550,f3551,f3553,f3558,f32,f1684,f3560,f1669,f3561,f3562,f1668,f3563,f374]) ).

fof(f3575,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_8
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3574]) ).

fof(f3574,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_8
    | spl0_11 ),
    inference(global_subsumption,[],[f1742,f8,f6,f7,f5,f9,f1,f2,f4,f44,f46,f3,f63,f60,f208,f218,f212,f36,f27,f25,f23,f21,f19,f17,f15,f13,f11,f33,f31,f29,f24,f22,f20,f18,f16,f14,f12,f10,f28,f40,f327,f330,f331,f328,f332,f340,f326,f341,f343,f334,f349,f351,f352,f353,f346,f348,f361,f362,f358,f335,f366,f368,f338,f369,f371,f30,f347,f204,f402,f337,f410,f411,f406,f424,f426,f423,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f1551,f1580,f1525,f1581,f1523,f1582,f1519,f1583,f1464,f1384,f1375,f1586,f1587,f1588,f1590,f1592,f1356,f1326,f1320,f1594,f1598,f1186,f1185,f1599,f1601,f1603,f1181,f1218,f1068,f1061,f1609,f1611,f1612,f1615,f1617,f1619,f1048,f1620,f1624,f1626,f1627,f1080,f1629,f1631,f1003,f1002,f1001,f1000,f999,f992,f991,f990,f989,f886,f972,f1635,f879,f1637,f1639,f875,f874,f956,f1644,f854,f787,f768,f762,f1652,f720,f1654,f686,f685,f710,f1655,f675,f674,f699,f634,f631,f1671,f1674,f1676,f1685,f463,f1686,f379,f1687,f1688,f1701,f1702,f1692,f1693,f1704,f1695,f1696,f1697,f1699,f790,f988,f1422,f2268,f2274,f2278,f2280,f1531,f1481,f1479,f2327,f1718,f2100,f1595,f1305,f1717,f2329,f1209,f2386,f2387,f2393,f2397,f2398,f2400,f1270,f2422,f2423,f2429,f2433,f2434,f2436,f2323,f1584,f1387,f1386,f1166,f1071,f1070,f1653,f2435,f2399,f2321,f2288,f1673,f2249,f2248,f1597,f1190,f1188,f2325,f1716,f1591,f1402,f1353,f2521,f26,f3546,f3547,f3548,f3549,f3550,f3551,f3553,f3558,f32,f1684,f3560,f1669,f3561,f3562,f1668,f3563,f374]) ).

fof(f3573,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_8
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3572]) ).

fof(f3572,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_8
    | spl0_12 ),
    inference(global_subsumption,[],[f1742,f8,f6,f7,f5,f9,f1,f2,f4,f44,f46,f3,f63,f60,f208,f218,f212,f36,f27,f25,f23,f21,f19,f17,f15,f13,f11,f33,f31,f29,f24,f22,f20,f18,f16,f14,f12,f10,f28,f40,f327,f330,f331,f328,f332,f340,f326,f341,f343,f334,f349,f351,f352,f353,f346,f348,f361,f362,f358,f335,f366,f368,f338,f369,f371,f30,f347,f204,f402,f337,f410,f411,f406,f424,f426,f423,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f1551,f1580,f1525,f1581,f1523,f1582,f1519,f1583,f1464,f1384,f1375,f1586,f1587,f1588,f1590,f1592,f1356,f1326,f1320,f1594,f1598,f1186,f1185,f1599,f1601,f1603,f1181,f1218,f1068,f1061,f1609,f1611,f1612,f1615,f1617,f1619,f1048,f1620,f1624,f1626,f1627,f1080,f1629,f1631,f1003,f1002,f1001,f1000,f999,f992,f991,f990,f989,f886,f972,f1635,f879,f1637,f1639,f875,f874,f956,f1644,f854,f787,f768,f762,f1652,f720,f1654,f686,f685,f710,f1655,f675,f674,f699,f634,f631,f1671,f1674,f1676,f1685,f463,f1686,f790,f988,f1422,f2268,f2274,f2278,f2280,f1531,f1481,f1479,f1718,f1595,f1305,f1717,f1209,f2386,f2387,f2393,f2397,f2398,f2400,f1270,f2422,f2423,f2429,f2433,f2434,f2436,f1584,f1387,f1386,f1166,f1071,f1070,f1653,f2435,f2399,f2288,f1673,f2249,f2248,f1597,f1190,f1188,f1716,f1591,f1402,f1353,f26,f3547,f3549,f3551,f3552,f3553,f3554,f32,f3559,f1684,f1669,f1668,f3264,f374]) ).

fof(f3559,plain,
    ( sk_c8 = inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_12 ),
    inference(global_subsumption,[],[f8,f6,f7,f5,f9,f1,f2,f4,f44,f46,f3,f63,f60,f208,f218,f212,f36,f27,f25,f23,f21,f19,f17,f15,f13,f11,f33,f31,f29,f24,f22,f20,f18,f16,f14,f12,f10,f28,f40,f327,f330,f331,f328,f332,f340,f326,f341,f343,f334,f349,f351,f352,f353,f346,f348,f361,f362,f358,f335,f366,f368,f338,f369,f371,f30,f347,f204,f402,f337,f410,f411,f406,f424,f426,f423,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f1551,f1580,f1525,f1581,f1523,f1582,f1519,f1583,f1464,f1384,f1375,f1586,f1587,f1588,f1590,f1592,f1356,f1326,f1320,f1594,f1598,f1186,f1185,f1599,f1601,f1603,f1181,f1218,f1068,f1061,f1609,f1611,f1612,f1615,f1617,f1619,f1048,f1620,f1624,f1626,f1627,f1080,f1629,f1631,f1003,f1002,f1001,f1000,f999,f992,f991,f990,f989,f886,f972,f1635,f879,f1637,f1639,f875,f874,f956,f1644,f854,f787,f768,f762,f1652,f720,f1654,f686,f685,f710,f1655,f675,f674,f699,f634,f631,f1669,f1671,f1674,f1676,f1684,f1685,f463,f1686,f790,f988,f1422,f2268,f2274,f2278,f2280,f1531,f1481,f1479,f1718,f1595,f1305,f1717,f1668,f1209,f2386,f2387,f2393,f2397,f2398,f2400,f1270,f2422,f2423,f2429,f2433,f2434,f2436,f1584,f1387,f1386,f1166,f1071,f1070,f1653,f2435,f2399,f2288,f1673,f2249,f2248,f1597,f1190,f1188,f1716,f1591,f1402,f1353,f3264,f26,f3547,f3549,f3551,f3552,f3553,f3554,f32]) ).

fof(f3554,plain,
    ( sk_c8 = inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_12 ),
    inference(global_subsumption,[],[f8,f6,f7,f5,f9,f1,f2,f4,f44,f46,f3,f63,f60,f208,f218,f212,f36,f27,f25,f23,f21,f19,f17,f15,f13,f11,f33,f31,f29,f24,f22,f20,f18,f16,f14,f12,f10,f32,f28,f40,f327,f330,f331,f328,f332,f340,f326,f341,f343,f334,f349,f351,f352,f353,f346,f348,f361,f362,f358,f335,f366,f368,f338,f369,f371,f30,f347,f204,f402,f337,f410,f411,f406,f424,f426,f423,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f1551,f1580,f1525,f1581,f1523,f1582,f1519,f1583,f1464,f1384,f1375,f1586,f1587,f1588,f1590,f1592,f1356,f1326,f1320,f1594,f1598,f1186,f1185,f1599,f1601,f1603,f1181,f1218,f1068,f1061,f1609,f1611,f1612,f1615,f1617,f1619,f1048,f1620,f1624,f1626,f1627,f1080,f1629,f1631,f1003,f1002,f1001,f1000,f999,f992,f991,f990,f989,f886,f972,f1635,f879,f1637,f1639,f875,f874,f956,f1644,f854,f787,f768,f762,f1652,f720,f1654,f686,f685,f710,f1655,f675,f674,f699,f634,f631,f1669,f1671,f1674,f1676,f1684,f1685,f463,f1686,f790,f988,f1422,f2268,f2274,f2278,f2280,f1531,f1481,f1479,f1718,f1595,f1305,f1717,f1668,f1209,f2386,f2387,f2393,f2397,f2398,f2400,f1270,f2422,f2423,f2429,f2433,f2434,f2436,f1584,f1387,f1386,f1166,f1071,f1070,f1653,f2435,f2399,f2288,f1673,f2249,f2248,f1597,f1190,f1188,f1716,f1591,f1402,f1353,f3264,f26,f3547,f3549,f3551,f3552,f3553]) ).

fof(f3552,plain,
    ( sk_c8 = inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_12 ),
    inference(global_subsumption,[],[f8,f6,f7,f5,f9,f1,f2,f4,f44,f46,f3,f63,f60,f208,f218,f212,f36,f27,f25,f23,f21,f19,f17,f15,f13,f11,f33,f31,f29,f24,f22,f20,f18,f16,f14,f12,f10,f32,f28,f40,f327,f330,f331,f328,f332,f340,f326,f341,f343,f334,f349,f351,f352,f353,f346,f348,f361,f362,f358,f335,f366,f368,f338,f369,f371,f30,f347,f204,f402,f337,f410,f411,f406,f424,f426,f423,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f1551,f1580,f1525,f1581,f1523,f1582,f1519,f1583,f1464,f1384,f1375,f1586,f1587,f1588,f1590,f1592,f1356,f1326,f1320,f1594,f1598,f1186,f1185,f1599,f1601,f1603,f1181,f1218,f1068,f1061,f1609,f1611,f1612,f1615,f1617,f1619,f1048,f1620,f1624,f1626,f1627,f1080,f1629,f1631,f1003,f1002,f1001,f1000,f999,f992,f991,f990,f989,f886,f972,f1635,f879,f1637,f1639,f875,f874,f956,f1644,f854,f787,f768,f762,f1652,f720,f1654,f686,f685,f710,f1655,f675,f674,f699,f634,f631,f1669,f1671,f1674,f1676,f1684,f1685,f463,f1686,f790,f988,f1422,f2268,f2274,f2278,f2280,f1531,f1481,f1479,f1718,f1595,f1305,f1717,f1668,f1209,f2386,f2387,f2393,f2397,f2398,f2400,f1270,f2422,f2423,f2429,f2433,f2434,f2436,f1584,f1387,f1386,f1166,f1071,f1070,f1653,f2435,f2399,f2288,f1673,f2249,f2248,f1597,f1190,f1188,f1716,f1591,f1402,f1353,f3264,f26,f3547,f3549,f3551]) ).

fof(f3570,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_8
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3569]) ).

fof(f3569,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_8
    | spl0_12 ),
    inference(global_subsumption,[],[f1755,f8,f6,f7,f5,f9,f1,f2,f4,f44,f46,f3,f63,f60,f208,f218,f212,f36,f27,f25,f23,f21,f19,f17,f15,f13,f11,f33,f31,f29,f24,f22,f20,f18,f16,f14,f12,f10,f28,f40,f327,f330,f331,f328,f332,f340,f326,f341,f343,f334,f349,f351,f352,f353,f346,f348,f361,f362,f358,f335,f366,f368,f338,f369,f371,f30,f347,f204,f402,f337,f410,f411,f406,f424,f426,f423,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f1551,f1580,f1525,f1581,f1523,f1582,f1519,f1583,f1464,f1384,f1375,f1586,f1587,f1588,f1590,f1592,f1356,f1326,f1320,f1594,f1598,f1186,f1185,f1599,f1601,f1603,f1181,f1218,f1068,f1061,f1609,f1611,f1612,f1615,f1617,f1619,f1048,f1620,f1624,f1626,f1627,f1080,f1629,f1631,f1003,f1002,f1001,f1000,f999,f992,f991,f990,f989,f886,f972,f1635,f879,f1637,f1639,f875,f874,f956,f1644,f854,f787,f768,f762,f1652,f720,f1654,f686,f685,f710,f1655,f675,f674,f699,f634,f631,f1671,f1674,f1676,f1685,f463,f1686,f790,f988,f1422,f2268,f2274,f2278,f2280,f1531,f1481,f1479,f1718,f1595,f1305,f1717,f1209,f2386,f2387,f2393,f2397,f2398,f2400,f1270,f2422,f2423,f2429,f2433,f2434,f2436,f1584,f1387,f1386,f1166,f1071,f1070,f1653,f2435,f2399,f2288,f1673,f2249,f2248,f1597,f1190,f1188,f1716,f1591,f1402,f1353,f26,f3547,f3549,f3551,f3552,f3553,f3554,f32,f3559,f1684,f1669,f1668,f3264,f374]) ).

fof(f3567,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3566]) ).

fof(f3566,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_12 ),
    inference(global_subsumption,[],[f8,f6,f7,f5,f9,f1,f2,f4,f44,f46,f3,f63,f60,f208,f218,f212,f36,f27,f25,f23,f21,f19,f17,f15,f13,f11,f33,f31,f29,f24,f22,f20,f18,f16,f14,f12,f10,f28,f40,f327,f330,f331,f328,f332,f340,f326,f341,f343,f334,f349,f351,f352,f353,f346,f348,f361,f362,f358,f335,f366,f368,f338,f369,f371,f30,f347,f204,f402,f337,f410,f411,f406,f424,f426,f423,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f1551,f1580,f1525,f1581,f1523,f1582,f1519,f1583,f1464,f1384,f1375,f1586,f1587,f1588,f1590,f1592,f1356,f1326,f1320,f1594,f1598,f1186,f1185,f1599,f1601,f1603,f1181,f1218,f1068,f1061,f1609,f1611,f1612,f1615,f1617,f1619,f1048,f1620,f1624,f1626,f1627,f1080,f1629,f1631,f1003,f1002,f1001,f1000,f999,f992,f991,f990,f989,f886,f972,f1635,f879,f1637,f1639,f875,f874,f956,f1644,f854,f787,f768,f762,f1652,f720,f1654,f686,f685,f710,f1655,f675,f674,f699,f634,f631,f1671,f1674,f1676,f1685,f463,f1686,f790,f988,f1422,f2268,f2274,f2278,f2280,f1531,f1481,f1479,f1718,f1595,f1305,f1717,f1209,f2386,f2387,f2393,f2397,f2398,f2400,f1270,f2422,f2423,f2429,f2433,f2434,f2436,f1584,f1387,f1386,f1166,f1071,f1070,f1653,f2435,f2399,f2288,f1673,f2249,f2248,f1597,f1190,f1188,f1716,f1591,f1402,f1353,f26,f3547,f3549,f3551,f3552,f3553,f3554,f32,f3559,f1684,f1669,f1668,f3264,f374]) ).

fof(f3565,plain,
    ( spl0_3
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3564]) ).

fof(f3564,plain,
    ( $false
    | spl0_3
    | spl0_8 ),
    inference(global_subsumption,[],[f8,f6,f7,f5,f9,f1,f2,f4,f3,f60,f208,f36,f27,f25,f23,f21,f19,f17,f15,f13,f11,f33,f31,f29,f24,f22,f20,f18,f16,f14,f12,f10,f28,f30,f204,f402,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f1523,f1583,f1464,f1384,f1375,f1588,f1590,f1592,f1356,f1326,f1320,f1594,f1599,f1181,f1218,f1068,f1061,f1048,f1620,f1626,f1627,f1080,f1003,f1002,f992,f991,f886,f874,f956,f1644,f854,f768,f762,f1654,f686,f685,f1655,f675,f674,f634,f631,f1422,f2268,f2274,f2278,f2280,f26,f32,f1741,f374]) ).

fof(f1741,plain,
    ( sk_c6 != inverse(sk_c5)
    | spl0_8 ),
    inference(avatar_component_clause,[],[f1740]) ).

fof(f3534,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f3533]) ).

fof(f3533,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12
    | spl0_13 ),
    inference(subsumption_resolution,[],[f3532,f3268]) ).

fof(f3532,plain,
    ( sk_c1 = sk_c8
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3531,f346]) ).

fof(f3531,plain,
    ( sk_c8 = multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3515,f988]) ).

fof(f3515,plain,
    ( sk_c8 = multiply(sk_c1,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(superposition,[],[f1110,f3484]) ).

fof(f3484,plain,
    ( sk_c1 = multiply(sk_c8,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f3483,f8,f6,f7,f5,f9,f1,f2,f4,f44,f46,f3,f63,f60,f208,f218,f212,f36,f27,f25,f23,f21,f19,f17,f15,f13,f11,f33,f31,f29,f26,f24,f22,f20,f18,f16,f14,f12,f10,f32,f28,f40,f327,f330,f331,f328,f332,f340,f326,f341,f343,f334,f349,f351,f352,f353,f346,f348,f361,f362,f358,f335,f366,f368,f338,f369,f371,f30,f347,f204,f402,f337,f410,f411,f406,f424,f426,f423,f205,f588,f583,f632,f646,f217,f658,f659,f662,f663,f654,f707,f683,f718,f672,f730,f731,f652,f794,f778,f655,f819,f829,f767,f860,f890,f998,f1023,f1026,f1021,f1034,f1046,f1065,f1171,f1075,f1076,f1078,f1079,f1110,f1180,f1192,f1213,f1214,f1215,f1216,f1208,f1318,f1321,f1322,f1323,f1324,f1025,f1370,f1379,f1391,f1392,f1393,f1394,f1396,f1397,f1114,f1471,f1482,f1483,f1502,f1506,f1508,f1551,f1580,f1525,f1581,f1523,f1582,f1519,f1583,f1464,f1384,f1375,f1586,f1587,f1588,f1590,f1592,f1356,f1326,f1320,f1594,f1598,f1186,f1185,f1599,f1601,f1603,f1181,f1218,f1068,f1061,f1609,f1611,f1612,f1615,f1617,f1619,f1048,f1620,f1624,f1626,f1627,f1080,f1629,f1631,f1003,f1002,f1001,f1000,f999,f992,f991,f990,f989,f886,f972,f1635,f879,f1637,f1639,f875,f874,f956,f1644,f854,f787,f768,f762,f1652,f720,f1654,f686,f685,f710,f1655,f675,f674,f699,f634,f631,f1669,f1671,f1674,f1676,f1684,f1685,f463,f1686,f379,f1687,f1688,f1701,f1702,f1692,f1693,f1704,f1695,f1696,f1697,f1699,f790,f988,f1422,f2268,f2274,f2278,f2280,f1531,f1481,f1479,f2327,f1718,f2100,f1595,f1305,f1717,f2329,f1668,f1746,f1209,f2386,f2387,f2393,f2397,f2398,f2400,f1270,f2422,f2423,f2429,f2433,f2434,f2436,f2323,f1584,f1387,f1386,f1166,f1071,f1070,f1653,f2435,f2399,f2321,f2288,f1673,f2249,f2248,f1597,f1190,f1188,f2325,f1716,f1591,f1402,f1353,f3222,f2521,f2802]) ).

fof(f2802,plain,
    ( sk_c1 = sk_c8
    | sk_c1 = multiply(sk_c6,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2801,f358]) ).

fof(f2801,plain,
    ( sk_c1 = multiply(sk_c8,identity)
    | sk_c1 = multiply(sk_c6,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1668,f1746]) ).

fof(f3222,plain,
    ( sk_c1 = multiply(sk_c8,identity)
    | identity = sk_c1
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2327,f1746]) ).

fof(f3483,plain,
    ( sk_c8 = inverse(sk_c5)
    | sk_c1 = multiply(sk_c8,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3482,f3389]) ).

fof(f3482,plain,
    ( sk_c1 = multiply(sk_c8,identity)
    | sk_c6 = inverse(sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1684,f1746]) ).

fof(f3527,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f3526]) ).

fof(f3526,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12
    | spl0_13 ),
    inference(subsumption_resolution,[],[f3511,f3268]) ).

fof(f3511,plain,
    ( sk_c1 = sk_c8
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(superposition,[],[f654,f3484]) ).

fof(f3525,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f3524]) ).

fof(f3524,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12
    | spl0_13 ),
    inference(subsumption_resolution,[],[f3510,f3268]) ).

fof(f3510,plain,
    ( sk_c1 = sk_c8
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(superposition,[],[f358,f3484]) ).

fof(f3523,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f3522]) ).

fof(f3522,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12
    | spl0_13 ),
    inference(subsumption_resolution,[],[f3509,f3268]) ).

fof(f3509,plain,
    ( sk_c1 = sk_c8
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(superposition,[],[f3484,f654]) ).

fof(f3521,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f3520]) ).

fof(f3520,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12
    | spl0_13 ),
    inference(subsumption_resolution,[],[f3508,f3268]) ).

fof(f3508,plain,
    ( sk_c1 = sk_c8
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(superposition,[],[f3484,f358]) ).

fof(f3463,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | spl0_11
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f3462]) ).

fof(f3462,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | spl0_11
    | spl0_13 ),
    inference(subsumption_resolution,[],[f3461,f3268]) ).

fof(f3461,plain,
    ( sk_c1 = sk_c8
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | spl0_11 ),
    inference(forward_demodulation,[],[f3460,f346]) ).

fof(f3460,plain,
    ( sk_c8 = multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | spl0_11 ),
    inference(forward_demodulation,[],[f3444,f988]) ).

fof(f3444,plain,
    ( sk_c8 = multiply(sk_c1,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | spl0_11 ),
    inference(superposition,[],[f1110,f3436]) ).

fof(f3436,plain,
    ( sk_c1 = multiply(sk_c8,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | spl0_11 ),
    inference(subsumption_resolution,[],[f3221,f2521]) ).

fof(f3221,plain,
    ( sk_c1 = multiply(sk_c8,identity)
    | identity = sk_c1
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2328,f1746]) ).

fof(f2328,plain,
    ( identity = sk_c1
    | sk_c1 = multiply(sk_c8,sk_c3)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1669,f1753]) ).

fof(f3456,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | spl0_11
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f3455]) ).

fof(f3455,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | spl0_11
    | spl0_13 ),
    inference(subsumption_resolution,[],[f3440,f3268]) ).

fof(f3440,plain,
    ( sk_c1 = sk_c8
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | spl0_11 ),
    inference(superposition,[],[f654,f3436]) ).

fof(f3454,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | spl0_11
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f3453]) ).

fof(f3453,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | spl0_11
    | spl0_13 ),
    inference(subsumption_resolution,[],[f3439,f3268]) ).

fof(f3439,plain,
    ( sk_c1 = sk_c8
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | spl0_11 ),
    inference(superposition,[],[f358,f3436]) ).

fof(f3452,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | spl0_11
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f3451]) ).

fof(f3451,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | spl0_11
    | spl0_13 ),
    inference(subsumption_resolution,[],[f3438,f3268]) ).

fof(f3438,plain,
    ( sk_c1 = sk_c8
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | spl0_11 ),
    inference(superposition,[],[f3436,f654]) ).

fof(f3450,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | spl0_11
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f3449]) ).

fof(f3449,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | spl0_11
    | spl0_13 ),
    inference(subsumption_resolution,[],[f3437,f3268]) ).

fof(f3437,plain,
    ( sk_c1 = sk_c8
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | spl0_11 ),
    inference(superposition,[],[f3436,f358]) ).

fof(f3371,plain,
    ( ~ spl0_2
    | ~ spl0_10
    | spl0_11
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f3370]) ).

fof(f3370,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_10
    | spl0_11
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f3351,f2521]) ).

fof(f3351,plain,
    ( identity = sk_c1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f3269,f3313]) ).

fof(f3313,plain,
    ( identity = sk_c8
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f3272,f2518]) ).

fof(f3272,plain,
    ( identity = multiply(sk_c1,sk_c1)
    | ~ spl0_2
    | ~ spl0_13 ),
    inference(superposition,[],[f46,f3269]) ).

fof(f3369,plain,
    ( ~ spl0_2
    | ~ spl0_10
    | spl0_11
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f3368]) ).

fof(f3368,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_10
    | spl0_11
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f3367,f2521]) ).

fof(f3367,plain,
    ( identity = sk_c1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f3350,f1]) ).

fof(f3350,plain,
    ( sk_c1 = multiply(identity,identity)
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f3241,f3313]) ).

fof(f3365,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | spl0_11
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f3364]) ).

fof(f3364,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | spl0_11
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f3363,f2521]) ).

fof(f3363,plain,
    ( identity = sk_c1
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f3347,f988]) ).

fof(f3347,plain,
    ( sk_c1 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f790,f3313]) ).

fof(f3353,plain,
    ( ~ spl0_2
    | ~ spl0_10
    | spl0_11
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f3352]) ).

fof(f3352,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_10
    | spl0_11
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f3335,f2521]) ).

fof(f3335,plain,
    ( identity = sk_c1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f3313,f3269]) ).

fof(f3270,plain,
    ( spl0_12
    | spl0_13
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f2802,f1744,f42,f38,f3267,f3263]) ).

fof(f3217,plain,
    ( spl0_6
    | spl0_5
    | spl0_7
    | spl0_5
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f3029,f2520,f42,f38,f1571,f1577,f1571,f1574]) ).

fof(f3029,plain,
    ( ! [X3,X6,X7,X5] :
        ( identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X3)
        | identity != multiply(X6,identity)
        | identity != multiply(inverse(X7),identity)
        | identity != multiply(identity,X5)
        | identity != multiply(X3,identity) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3028,f2533]) ).

fof(f2533,plain,
    ( identity = sk_c8
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2524,f988]) ).

fof(f2524,plain,
    ( sk_c8 = inverse(identity)
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(superposition,[],[f44,f2522]) ).

fof(f3028,plain,
    ( ! [X3,X6,X7,X5] :
        ( identity != inverse(X5)
        | identity != inverse(X3)
        | identity != multiply(X6,identity)
        | identity != multiply(inverse(X7),identity)
        | identity != multiply(identity,X5)
        | identity != multiply(X3,identity)
        | sk_c8 != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3027,f2533]) ).

fof(f3027,plain,
    ( ! [X3,X6,X7,X5] :
        ( identity != inverse(X3)
        | identity != multiply(X6,identity)
        | identity != multiply(inverse(X7),identity)
        | identity != multiply(identity,X5)
        | identity != multiply(X3,identity)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3026,f2533]) ).

fof(f3026,plain,
    ( ! [X3,X6,X7,X5] :
        ( identity != multiply(X6,identity)
        | identity != multiply(inverse(X7),identity)
        | identity != multiply(identity,X5)
        | identity != multiply(X3,identity)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3025,f2533]) ).

fof(f3025,plain,
    ( ! [X3,X6,X7,X5] :
        ( identity != multiply(inverse(X7),identity)
        | identity != multiply(identity,X5)
        | identity != multiply(X3,identity)
        | identity != multiply(X6,sk_c8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3024,f2533]) ).

fof(f3024,plain,
    ( ! [X3,X6,X7,X5] :
        ( identity != multiply(identity,X5)
        | identity != multiply(X3,identity)
        | identity != multiply(inverse(X7),sk_c8)
        | identity != multiply(X6,sk_c8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3023,f654]) ).

fof(f3023,plain,
    ( ! [X3,X6,X7,X5] :
        ( identity != multiply(identity,multiply(X5,identity))
        | identity != multiply(X3,identity)
        | identity != multiply(inverse(X7),sk_c8)
        | identity != multiply(X6,sk_c8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3022,f2533]) ).

fof(f3022,plain,
    ( ! [X3,X6,X7,X5] :
        ( identity != multiply(X3,identity)
        | identity != multiply(sk_c8,multiply(X5,sk_c8))
        | identity != multiply(inverse(X7),sk_c8)
        | identity != multiply(X6,sk_c8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3021,f2533]) ).

fof(f3021,plain,
    ( ! [X3,X6,X7,X5] :
        ( sk_c8 != multiply(X3,identity)
        | identity != multiply(sk_c8,multiply(X5,sk_c8))
        | identity != multiply(inverse(X7),sk_c8)
        | identity != multiply(X6,sk_c8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f1653,f2522]) ).

fof(f2602,plain,
    ( ~ spl0_2
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2601]) ).

fof(f2601,plain,
    ( $false
    | ~ spl0_2
    | spl0_10
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f2600,f2533]) ).

fof(f2600,plain,
    ( identity != sk_c8
    | spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2599,f1]) ).

fof(f2599,plain,
    ( sk_c8 != multiply(identity,identity)
    | spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2517,f2522]) ).

fof(f2517,plain,
    ( sk_c8 != multiply(sk_c1,sk_c1)
    | spl0_10 ),
    inference(avatar_component_clause,[],[f2516]) ).

fof(f2523,plain,
    ( spl0_10
    | spl0_11
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f2323,f377,f42,f38,f2520,f2516]) ).

fof(f2319,plain,
    ( spl0_6
    | spl0_5
    | spl0_7
    | spl0_5
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | spl0_9 ),
    inference(avatar_split_clause,[],[f2232,f1744,f1740,f373,f42,f38,f1571,f1577,f1571,f1574]) ).

fof(f2232,plain,
    ( ! [X3,X6,X7,X5] :
        ( identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X3)
        | identity != multiply(X6,identity)
        | identity != multiply(inverse(X7),identity)
        | identity != multiply(identity,X5)
        | identity != multiply(X3,identity) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f2231,f1917]) ).

fof(f1917,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f1907,f988]) ).

fof(f1907,plain,
    ( sk_c8 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f44,f1906]) ).

fof(f1906,plain,
    ( identity = sk_c1
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f1905,f1753]) ).

fof(f1905,plain,
    ( sk_c1 = multiply(sk_c5,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_9 ),
    inference(subsumption_resolution,[],[f1663,f1745]) ).

fof(f1745,plain,
    ( identity != sk_c3
    | spl0_9 ),
    inference(avatar_component_clause,[],[f1744]) ).

fof(f1663,plain,
    ( sk_c1 = multiply(sk_c5,sk_c6)
    | identity = sk_c3
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f1662,f423]) ).

fof(f1662,plain,
    ( identity = sk_c3
    | sk_c7 = multiply(sk_c5,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f1661,f348]) ).

fof(f1661,plain,
    ( sk_c3 = multiply(sk_c1,sk_c8)
    | sk_c7 = multiply(sk_c5,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f25,f388]) ).

fof(f388,plain,
    ( sk_c1 = sk_c2
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f387,f331]) ).

fof(f387,plain,
    ( sk_c2 = multiply(sk_c7,identity)
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f384,f40]) ).

fof(f384,plain,
    ( sk_c2 = multiply(inverse(sk_c8),identity)
    | ~ spl0_3 ),
    inference(superposition,[],[f60,f382]) ).

fof(f382,plain,
    ( identity = multiply(sk_c8,sk_c2)
    | ~ spl0_3 ),
    inference(superposition,[],[f2,f375]) ).

fof(f2231,plain,
    ( ! [X3,X6,X7,X5] :
        ( identity != inverse(X5)
        | identity != inverse(X3)
        | identity != multiply(X6,identity)
        | identity != multiply(inverse(X7),identity)
        | identity != multiply(identity,X5)
        | identity != multiply(X3,identity)
        | sk_c8 != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f2230,f1917]) ).

fof(f2230,plain,
    ( ! [X3,X6,X7,X5] :
        ( identity != inverse(X3)
        | identity != multiply(X6,identity)
        | identity != multiply(inverse(X7),identity)
        | identity != multiply(identity,X5)
        | identity != multiply(X3,identity)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f2229,f1917]) ).

fof(f2229,plain,
    ( ! [X3,X6,X7,X5] :
        ( identity != multiply(X6,identity)
        | identity != multiply(inverse(X7),identity)
        | identity != multiply(identity,X5)
        | identity != multiply(X3,identity)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f2228,f1917]) ).

fof(f2228,plain,
    ( ! [X3,X6,X7,X5] :
        ( identity != multiply(inverse(X7),identity)
        | identity != multiply(identity,X5)
        | identity != multiply(X3,identity)
        | identity != multiply(X6,sk_c8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f2227,f1917]) ).

fof(f2227,plain,
    ( ! [X3,X6,X7,X5] :
        ( identity != multiply(identity,X5)
        | identity != multiply(X3,identity)
        | identity != multiply(inverse(X7),sk_c8)
        | identity != multiply(X6,sk_c8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f2226,f654]) ).

fof(f2226,plain,
    ( ! [X3,X6,X7,X5] :
        ( identity != multiply(identity,multiply(X5,identity))
        | identity != multiply(X3,identity)
        | identity != multiply(inverse(X7),sk_c8)
        | identity != multiply(X6,sk_c8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f2225,f1917]) ).

fof(f2225,plain,
    ( ! [X3,X6,X7,X5] :
        ( identity != multiply(X3,identity)
        | identity != multiply(sk_c8,multiply(X5,sk_c8))
        | identity != multiply(inverse(X7),sk_c8)
        | identity != multiply(X6,sk_c8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f2224,f1917]) ).

fof(f2224,plain,
    ( ! [X3,X6,X7,X5] :
        ( sk_c8 != multiply(X3,identity)
        | identity != multiply(sk_c8,multiply(X5,sk_c8))
        | identity != multiply(inverse(X7),sk_c8)
        | identity != multiply(X6,sk_c8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | spl0_9 ),
    inference(subsumption_resolution,[],[f1653,f1906]) ).

fof(f1747,plain,
    ( spl0_8
    | spl0_9
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f1681,f373,f42,f38,f1744,f1740]) ).

fof(f1681,plain,
    ( identity = sk_c3
    | sk_c6 = inverse(sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f1680,f348]) ).

fof(f1680,plain,
    ( sk_c3 = multiply(sk_c1,sk_c8)
    | sk_c6 = inverse(sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f26,f388]) ).

fof(f1579,plain,
    ( spl0_5
    | spl0_6
    | spl0_7
    | spl0_5
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f849,f377,f373,f42,f38,f1571,f1577,f1574,f1571]) ).

fof(f849,plain,
    ( ! [X3,X6,X7,X5] :
        ( identity != multiply(X3,identity)
        | identity != multiply(identity,X5)
        | identity != multiply(inverse(X7),identity)
        | identity != multiply(X6,identity)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X3) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(subsumption_resolution,[],[f756,f652]) ).

fof(f756,plain,
    ( ! [X3,X6,X7,X5] :
        ( identity != multiply(X3,identity)
        | identity != multiply(X7,inverse(X7))
        | identity != multiply(identity,X5)
        | identity != multiply(inverse(X7),identity)
        | identity != multiply(X6,identity)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X3) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f755,f481]) ).

fof(f481,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(superposition,[],[f480,f475]) ).

fof(f475,plain,
    ( sk_c8 = sk_c3
    | ~ spl0_1
    | ~ spl0_2
    | spl0_4 ),
    inference(forward_demodulation,[],[f474,f451]) ).

fof(f451,plain,
    ( sk_c8 = multiply(sk_c1,sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_4 ),
    inference(forward_demodulation,[],[f450,f423]) ).

fof(f450,plain,
    ( sk_c8 = multiply(sk_c1,sk_c7)
    | spl0_4 ),
    inference(subsumption_resolution,[],[f12,f378]) ).

fof(f474,plain,
    ( sk_c3 = multiply(sk_c1,sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_4 ),
    inference(forward_demodulation,[],[f473,f423]) ).

fof(f473,plain,
    ( sk_c3 = multiply(sk_c7,sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_4 ),
    inference(forward_demodulation,[],[f468,f40]) ).

fof(f468,plain,
    ( sk_c3 = multiply(inverse(sk_c8),sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_4 ),
    inference(superposition,[],[f60,f465]) ).

fof(f465,plain,
    ( sk_c1 = multiply(sk_c8,sk_c3)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_4 ),
    inference(forward_demodulation,[],[f464,f423]) ).

fof(f464,plain,
    ( sk_c7 = multiply(sk_c8,sk_c3)
    | spl0_4 ),
    inference(subsumption_resolution,[],[f18,f378]) ).

fof(f480,plain,
    ( identity = sk_c3
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f479,f348]) ).

fof(f479,plain,
    ( sk_c3 = multiply(sk_c1,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f478,f388]) ).

fof(f478,plain,
    ( sk_c3 = multiply(sk_c2,sk_c8)
    | spl0_4 ),
    inference(subsumption_resolution,[],[f24,f378]) ).

fof(f755,plain,
    ( ! [X3,X6,X7,X5] :
        ( sk_c8 != multiply(X3,identity)
        | identity != multiply(X7,inverse(X7))
        | identity != multiply(identity,X5)
        | identity != multiply(inverse(X7),identity)
        | identity != multiply(X6,identity)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X3) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f754,f508]) ).

fof(f508,plain,
    ( identity = sk_c1
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f495,f1]) ).

fof(f495,plain,
    ( sk_c1 = multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(superposition,[],[f455,f481]) ).

fof(f455,plain,
    ( sk_c1 = multiply(sk_c8,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_4 ),
    inference(forward_demodulation,[],[f453,f44]) ).

fof(f453,plain,
    ( sk_c1 = multiply(inverse(sk_c1),sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_4 ),
    inference(superposition,[],[f60,f451]) ).

fof(f754,plain,
    ( ! [X3,X6,X7,X5] :
        ( sk_c8 != multiply(X3,sk_c1)
        | identity != multiply(X7,inverse(X7))
        | identity != multiply(identity,X5)
        | identity != multiply(inverse(X7),identity)
        | identity != multiply(X6,identity)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X3) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f753,f423]) ).

fof(f753,plain,
    ( ! [X3,X6,X7,X5] :
        ( identity != multiply(X7,inverse(X7))
        | identity != multiply(identity,X5)
        | identity != multiply(inverse(X7),identity)
        | identity != multiply(X6,identity)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X3)
        | sk_c8 != multiply(X3,sk_c7) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f752,f508]) ).

fof(f752,plain,
    ( ! [X3,X6,X7,X5] :
        ( sk_c1 != multiply(X7,inverse(X7))
        | identity != multiply(identity,X5)
        | identity != multiply(inverse(X7),identity)
        | identity != multiply(X6,identity)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X3)
        | sk_c8 != multiply(X3,sk_c7) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f751,f423]) ).

fof(f751,plain,
    ( ! [X3,X6,X7,X5] :
        ( identity != multiply(identity,X5)
        | identity != multiply(inverse(X7),identity)
        | identity != multiply(X6,identity)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X3)
        | sk_c7 != multiply(X7,inverse(X7))
        | sk_c8 != multiply(X3,sk_c7) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f750,f508]) ).

fof(f750,plain,
    ( ! [X3,X6,X7,X5] :
        ( sk_c1 != multiply(identity,X5)
        | identity != multiply(inverse(X7),identity)
        | identity != multiply(X6,identity)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X3)
        | sk_c7 != multiply(X7,inverse(X7))
        | sk_c8 != multiply(X3,sk_c7) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f749,f423]) ).

fof(f749,plain,
    ( ! [X3,X6,X7,X5] :
        ( sk_c7 != multiply(identity,X5)
        | identity != multiply(inverse(X7),identity)
        | identity != multiply(X6,identity)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X3)
        | sk_c7 != multiply(X7,inverse(X7))
        | sk_c8 != multiply(X3,sk_c7) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f748,f654]) ).

fof(f748,plain,
    ( ! [X3,X6,X7,X5] :
        ( sk_c7 != multiply(identity,multiply(X5,identity))
        | identity != multiply(inverse(X7),identity)
        | identity != multiply(X6,identity)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X3)
        | sk_c7 != multiply(X7,inverse(X7))
        | sk_c8 != multiply(X3,sk_c7) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f747,f481]) ).

fof(f747,plain,
    ( ! [X3,X6,X7,X5] :
        ( identity != multiply(inverse(X7),identity)
        | identity != multiply(X6,identity)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X3)
        | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c7 != multiply(X7,inverse(X7))
        | sk_c8 != multiply(X3,sk_c7) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f746,f508]) ).

fof(f746,plain,
    ( ! [X3,X6,X7,X5] :
        ( sk_c1 != multiply(inverse(X7),identity)
        | identity != multiply(X6,identity)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X3)
        | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c7 != multiply(X7,inverse(X7))
        | sk_c8 != multiply(X3,sk_c7) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f745,f423]) ).

fof(f745,plain,
    ( ! [X3,X6,X7,X5] :
        ( sk_c7 != multiply(inverse(X7),identity)
        | identity != multiply(X6,identity)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X3)
        | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c7 != multiply(X7,inverse(X7))
        | sk_c8 != multiply(X3,sk_c7) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f744,f481]) ).

fof(f744,plain,
    ( ! [X3,X6,X7,X5] :
        ( identity != multiply(X6,identity)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X3)
        | sk_c7 != multiply(inverse(X7),sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c7 != multiply(X7,inverse(X7))
        | sk_c8 != multiply(X3,sk_c7) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f743,f508]) ).

fof(f743,plain,
    ( ! [X3,X6,X7,X5] :
        ( sk_c1 != multiply(X6,identity)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X3)
        | sk_c7 != multiply(inverse(X7),sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c7 != multiply(X7,inverse(X7))
        | sk_c8 != multiply(X3,sk_c7) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f742,f423]) ).

fof(f742,plain,
    ( ! [X3,X6,X7,X5] :
        ( sk_c7 != multiply(X6,identity)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X3)
        | sk_c7 != multiply(inverse(X7),sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c7 != multiply(X7,inverse(X7))
        | sk_c8 != multiply(X3,sk_c7) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f741,f481]) ).

fof(f741,plain,
    ( ! [X3,X6,X7,X5] :
        ( identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X3)
        | sk_c7 != multiply(X6,sk_c8)
        | sk_c7 != multiply(inverse(X7),sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c7 != multiply(X7,inverse(X7))
        | sk_c8 != multiply(X3,sk_c7) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f740,f481]) ).

fof(f740,plain,
    ( ! [X3,X6,X7,X5] :
        ( identity != inverse(X5)
        | identity != inverse(X3)
        | sk_c8 != inverse(X6)
        | sk_c7 != multiply(X6,sk_c8)
        | sk_c7 != multiply(inverse(X7),sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c7 != multiply(X7,inverse(X7))
        | sk_c8 != multiply(X3,sk_c7) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f739,f481]) ).

fof(f739,plain,
    ( ! [X3,X6,X7,X5] :
        ( identity != inverse(X3)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X6)
        | sk_c7 != multiply(X6,sk_c8)
        | sk_c7 != multiply(inverse(X7),sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c7 != multiply(X7,inverse(X7))
        | sk_c8 != multiply(X3,sk_c7) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f738,f481]) ).

fof(f380,plain,
    ( spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f30,f377,f373]) ).

fof(f304,plain,
    ( spl0_1
    | ~ spl0_2 ),
    inference(avatar_contradiction_clause,[],[f303]) ).

fof(f303,plain,
    ( $false
    | spl0_1
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f302,f72]) ).

fof(f72,plain,
    ( sk_c8 = sk_c7
    | spl0_1 ),
    inference(superposition,[],[f69,f50]) ).

fof(f50,plain,
    ( sk_c7 = multiply(sk_c8,sk_c3)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f16,f39]) ).

fof(f39,plain,
    ( inverse(sk_c8) != sk_c7
    | spl0_1 ),
    inference(avatar_component_clause,[],[f38]) ).

fof(f69,plain,
    ( sk_c8 = multiply(sk_c8,sk_c3)
    | spl0_1 ),
    inference(superposition,[],[f64,f51]) ).

fof(f51,plain,
    ( sk_c3 = multiply(sk_c2,sk_c8)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f22,f39]) ).

fof(f64,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c2,X0)) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f59,f1]) ).

fof(f59,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c2,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f48]) ).

fof(f48,plain,
    ( identity = multiply(sk_c8,sk_c2)
    | spl0_1 ),
    inference(superposition,[],[f2,f47]) ).

fof(f47,plain,
    ( sk_c8 = inverse(sk_c2)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f28,f39]) ).

fof(f302,plain,
    ( sk_c8 != sk_c7
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f285,f161]) ).

fof(f161,plain,
    ( sk_c8 = inverse(identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f44,f143]) ).

fof(f143,plain,
    ( identity = sk_c1
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f133,f46]) ).

fof(f133,plain,
    ( ! [X0] : multiply(sk_c8,X0) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f63,f115]) ).

fof(f115,plain,
    ( ! [X0] : multiply(sk_c1,X0) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f113,f63]) ).

fof(f113,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c1,multiply(sk_c8,X0))
    | spl0_1 ),
    inference(forward_demodulation,[],[f57,f72]) ).

fof(f57,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c1,multiply(sk_c7,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f49]) ).

fof(f49,plain,
    ( sk_c8 = multiply(sk_c1,sk_c7)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f10,f39]) ).

fof(f285,plain,
    ( sk_c7 != inverse(identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f39,f254]) ).

fof(f254,plain,
    ( identity = sk_c8
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f253,f2]) ).

fof(f253,plain,
    ( sk_c8 = multiply(inverse(sk_c8),sk_c8)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f221,f72]) ).

fof(f221,plain,
    ( sk_c8 = multiply(inverse(sk_c8),sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f60,f65]) ).

fof(f65,plain,
    ( sk_c7 = multiply(sk_c8,sk_c8)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f63,f49]) ).

fof(f45,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f4,f42,f38]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : GRP227-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36  % Computer : n018.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri May  3 20:50:38 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  % (8327)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38  % (8330)WARNING: value z3 for option sas not known
% 0.22/0.38  % (8329)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.38  % (8330)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)
% 0.22/0.38  % (8331)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.38  % (8328)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.38  % (8332)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)
% 0.22/0.38  % (8333)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)
% 0.22/0.38  % (8334)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)
% 0.22/0.39  TRYING [1]
% 0.22/0.39  TRYING [2]
% 0.22/0.39  TRYING [1]
% 0.22/0.39  TRYING [3]
% 0.22/0.39  TRYING [2]
% 0.22/0.40  TRYING [4]
% 0.22/0.40  TRYING [3]
% 0.22/0.42  TRYING [5]
% 0.22/0.42  TRYING [4]
% 0.22/0.45  TRYING [6]
% 0.22/0.50  % (8330)First to succeed.
% 0.22/0.52  % (8330)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-8327"
% 0.22/0.53  % (8330)Refutation found. Thanks to Tanya!
% 0.22/0.53  % SZS status Unsatisfiable for theBenchmark
% 0.22/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 1.26/0.53  % (8330)------------------------------
% 1.26/0.53  % (8330)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.26/0.53  % (8330)Termination reason: Refutation
% 1.26/0.53  
% 1.26/0.53  % (8330)Memory used [KB]: 2368
% 1.26/0.53  % (8330)Time elapsed: 0.142 s
% 1.26/0.53  % (8330)Instructions burned: 279 (million)
% 1.26/0.53  % (8327)Success in time 0.155 s
%------------------------------------------------------------------------------