TSTP Solution File: GRP383-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP383-1 : 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 : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 06:07:51 EDT 2024
% Result : Unsatisfiable 1.20s 0.53s
% Output : Refutation 1.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 51
% Syntax : Number of formulae : 1677 ( 150 unt; 0 def)
% Number of atoms : 5881 (1904 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 7982 (3778 ~;4192 |; 0 &)
% ( 12 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 14 ( 12 usr; 13 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 833 ( 833 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4352,plain,
$false,
inference(avatar_sat_refutation,[],[f49,f299,f370,f1496,f1627,f1868,f1870,f1876,f2598,f2883,f2958,f2961,f2964,f2967,f2970,f2975,f3177,f3195,f3198,f3200,f3202,f3204,f3212,f3221,f3225,f3231,f3235,f3239,f3249,f3252,f3255,f3258,f3260,f3262,f3264,f3288,f3301,f3349,f3361,f3363,f3365,f3367,f3373,f3378,f3380,f3382,f3384,f3386,f3388,f3390,f3392,f3394,f3396,f3398,f3400,f3402,f3404,f3406,f3408,f3410,f3412,f3414,f3416,f3418,f3420,f3422,f3424,f3426,f3428,f3430,f3432,f3434,f3436,f3438,f3440,f3443,f3445,f3447,f3449,f3451,f3453,f3455,f3457,f3459,f3461,f3469,f3648,f3653,f3658,f3662,f3666,f3668,f3670,f3672,f3678,f3684,f3687,f3693,f3699,f3728,f3730,f3732,f3734,f3738,f3741,f3744,f3747,f3749,f3751,f3753,f3755,f3758,f3937,f3939,f3941,f3943,f3945,f3947,f3949,f3951,f3954,f3964,f3967,f3969,f3972,f3974,f3976,f3978,f3981,f3984,f3986,f3988,f3990,f3992,f3994,f3996,f3998,f4152,f4287,f4289,f4291,f4293,f4295,f4297,f4299,f4301,f4303,f4305,f4307,f4309,f4311,f4313,f4315,f4317,f4319,f4321,f4323,f4325,f4327,f4329,f4331,f4333,f4335,f4337,f4339,f4341,f4343,f4345,f4347,f4349,f4351]) ).
fof(f4351,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f4350]) ).
fof(f4350,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| spl0_12 ),
inference(global_subsumption,[],[f10,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f24,f23,f19,f13,f11,f9,f33,f29,f22,f18,f14,f12,f8,f6,f4,f7,f44,f319,f322,f320,f318,f335,f327,f343,f345,f210,f359,f17,f371,f372,f378,f329,f388,f389,f384,f398,f395,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1409,f1407,f1398,f1503,f1356,f1506,f1223,f1113,f1111,f1104,f1092,f1524,f933,f1538,f922,f1005,f1546,f902,f1552,f1562,f1564,f1565,f1566,f1568,f1569,f1575,f1578,f1580,f1577,f1571,f1563,f1626,f1242,f1951,f1954,f1955,f1956,f1957,f1375,f2138,f2180,f2149,f2202,f2203,f2166,f2167,f2205,f2170,f2171,f1382,f2214,f2226,f2244,f2245,f2248,f2249,f2179,f2554,f2560,f2564,f2566,f2259,f2695,f2700,f2704,f2706,f2233,f2707,f3278,f37,f3296,f3294,f27,f3285,f32,f365,f377,f2195,f2188,f2141,f1341,f1335,f1509,f1214,f1530,f1529,f1502,f1501,f1499,f1379,f1505,f1252,f1123,f1046,f1045,f1035,f1034,f1559,f1558,f807,f801,f732,f30,f15,f731,f721,f720,f682,f679,f3862,f2587,f2197,f1044,f3961,f31,f3930,f20,f25,f386,f392,f4159,f26,f841,f889,f893,f934,f1105,f1112,f1234,f1399,f1408,f1394,f1215,f1521,f1094,f4163,f21,f16,f1520,f1219,f1953,f1319,f923,f927,f1540,f2130,f2132,f3848,f2136,f2145,f2152,f2154,f2201,f3829,f3826,f2215,f2218,f2222,f2223,f2231,f2232,f4170,f2242,f2243,f2247,f2545,f2546,f2576,f4172,f2553,f2582,f2559,f2585,f2586,f3788,f3786,f2691,f2698,f2732,f2702,f2738,f2689,f3765,f3600,f1033,f1964,f1365,f3844,f3836,f2150,f2143,f1254,f1525,f4177,f779,f4162,f4161,f727,f716,f4176,f4167,f3371,f2881]) ).
fof(f2881,plain,
( sk_c8 != sk_c7
| spl0_12 ),
inference(avatar_component_clause,[],[f2880]) ).
fof(f2880,plain,
( spl0_12
<=> sk_c8 = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f3371,plain,
( sk_c8 = sk_c7
| sk_c8 = multiply(sk_c1,sk_c7)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8 ),
inference(forward_demodulation,[],[f3370,f377]) ).
fof(f3370,plain,
( sk_c7 = sk_c5
| sk_c8 = multiply(sk_c1,sk_c7)
| ~ spl0_8 ),
inference(forward_demodulation,[],[f3369,f700]) ).
fof(f3369,plain,
( sk_c7 = multiply(sk_c5,identity)
| sk_c8 = multiply(sk_c1,sk_c7)
| ~ spl0_8 ),
inference(forward_demodulation,[],[f23,f1626]) ).
fof(f4167,plain,
( sk_c8 = sk_c7
| sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f4166,f395]) ).
fof(f4166,plain,
( sk_c8 = multiply(sk_c7,identity)
| sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl0_8 ),
inference(forward_demodulation,[],[f11,f1626]) ).
fof(f4176,plain,
( sk_c8 = sk_c7
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8 ),
inference(duplicate_literal_removal,[],[f4175]) ).
fof(f4175,plain,
( sk_c8 = sk_c7
| sk_c8 = sk_c7
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8 ),
inference(forward_demodulation,[],[f4174,f700]) ).
fof(f4174,plain,
( sk_c7 = multiply(sk_c8,identity)
| sk_c8 = sk_c7
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8 ),
inference(forward_demodulation,[],[f4173,f377]) ).
fof(f4173,plain,
( sk_c7 = multiply(sk_c5,identity)
| sk_c8 = sk_c7
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f3773,f1626]) ).
fof(f3773,plain,
( sk_c8 = sk_c7
| sk_c7 = multiply(sk_c5,sk_c6)
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f3266,f395]) ).
fof(f3266,plain,
( sk_c8 = multiply(sk_c7,identity)
| sk_c7 = multiply(sk_c5,sk_c6)
| ~ spl0_8 ),
inference(forward_demodulation,[],[f13,f1626]) ).
fof(f716,plain,
( sk_c8 = inverse(sk_c7)
| ~ spl0_1 ),
inference(superposition,[],[f700,f320]) ).
fof(f727,plain,
( sk_c8 = inverse(sk_c7)
| ~ spl0_1 ),
inference(superposition,[],[f320,f700]) ).
fof(f4161,plain,
( sk_c8 = inverse(sk_c7)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f723,f700]) ).
fof(f723,plain,
( multiply(sk_c8,identity) = inverse(sk_c7)
| ~ spl0_1 ),
inference(superposition,[],[f700,f329]) ).
fof(f4162,plain,
( sk_c8 = inverse(sk_c7)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f734,f700]) ).
fof(f734,plain,
( multiply(sk_c8,identity) = inverse(sk_c7)
| ~ spl0_1 ),
inference(superposition,[],[f329,f700]) ).
fof(f779,plain,
( sk_c8 = inverse(sk_c7)
| ~ spl0_1 ),
inference(superposition,[],[f718,f44]) ).
fof(f4177,plain,
( sk_c8 = inverse(sk_c7)
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f782,f377]) ).
fof(f782,plain,
( sk_c5 = inverse(sk_c7)
| ~ spl0_3 ),
inference(superposition,[],[f718,f365]) ).
fof(f1525,plain,
( sk_c8 = inverse(sk_c7)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f1088,f1157]) ).
fof(f1088,plain,
( ! [X0] : inverse(sk_c7) = multiply(multiply(sk_c8,X0),inverse(X0))
| ~ spl0_1 ),
inference(superposition,[],[f1065,f318]) ).
fof(f1254,plain,
( sk_c8 = inverse(sk_c7)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f1210,f1157]) ).
fof(f1210,plain,
( ! [X0] : inverse(sk_c7) = multiply(multiply(sk_c8,X0),inverse(X0))
| ~ spl0_1 ),
inference(superposition,[],[f1157,f329]) ).
fof(f2143,plain,
( sk_c8 = inverse(sk_c7)
| ~ spl0_1 ),
inference(superposition,[],[f1375,f1065]) ).
fof(f2150,plain,
( sk_c8 = inverse(sk_c7)
| ~ spl0_1 ),
inference(superposition,[],[f1065,f1375]) ).
fof(f3836,plain,
( sk_c8 = inverse(sk_c7)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f2153,f395]) ).
fof(f2153,plain,
( sk_c8 = inverse(multiply(sk_c7,identity))
| ~ spl0_1 ),
inference(superposition,[],[f1,f1375]) ).
fof(f3844,plain,
( sk_c8 = inverse(sk_c7)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f2144,f395]) ).
fof(f2144,plain,
( sk_c8 = inverse(multiply(sk_c7,identity))
| ~ spl0_1 ),
inference(superposition,[],[f1375,f1]) ).
fof(f1365,plain,
( sk_c8 = inverse(sk_c7)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f1329,f1240]) ).
fof(f1329,plain,
( ! [X0] : inverse(sk_c7) = multiply(multiply(sk_c8,inverse(X0)),X0)
| ~ spl0_1 ),
inference(superposition,[],[f1240,f329]) ).
fof(f1964,plain,
( sk_c8 = inverse(sk_c7)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f1947,f1242]) ).
fof(f1947,plain,
( inverse(sk_c7) = multiply(multiply(sk_c8,sk_c8),sk_c7)
| ~ spl0_1 ),
inference(superposition,[],[f1242,f329]) ).
fof(f1033,plain,
( identity = inverse(identity)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f940,f319]) ).
fof(f940,plain,
( identity = inverse(multiply(sk_c7,sk_c8))
| ~ spl0_1 ),
inference(superposition,[],[f806,f318]) ).
fof(f3600,plain,
( sk_c8 = sk_c7
| sk_c7 = multiply(sk_c2,sk_c3)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8 ),
inference(forward_demodulation,[],[f3294,f377]) ).
fof(f3765,plain,
( sk_c8 = sk_c7
| sk_c8 = inverse(sk_c1)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8 ),
inference(forward_demodulation,[],[f3375,f700]) ).
fof(f3375,plain,
( sk_c7 = multiply(sk_c8,identity)
| sk_c8 = inverse(sk_c1)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8 ),
inference(forward_demodulation,[],[f3374,f377]) ).
fof(f3374,plain,
( sk_c7 = multiply(sk_c5,identity)
| sk_c8 = inverse(sk_c1)
| ~ spl0_8 ),
inference(forward_demodulation,[],[f18,f1626]) ).
fof(f2689,plain,
( sk_c7 = multiply(inverse(sk_c7),inverse(multiply(sk_c8,sk_c8)))
| ~ spl0_1 ),
inference(superposition,[],[f2259,f2259]) ).
fof(f2738,plain,
( sk_c8 = multiply(inverse(sk_c7),inverse(identity))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f2708,f319]) ).
fof(f2708,plain,
( sk_c8 = multiply(inverse(sk_c7),inverse(multiply(sk_c7,sk_c8)))
| ~ spl0_1 ),
inference(superposition,[],[f2179,f2259]) ).
fof(f2702,plain,
( ! [X0] : identity = multiply(inverse(multiply(X0,sk_c8)),multiply(X0,inverse(sk_c7)))
| ~ spl0_1 ),
inference(superposition,[],[f806,f2259]) ).
fof(f2732,plain,
( ! [X0] : multiply(X0,inverse(sk_c7)) = multiply(X0,sk_c8)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f2701,f718]) ).
fof(f2701,plain,
( ! [X0] : multiply(X0,inverse(sk_c7)) = inverse(inverse(multiply(X0,sk_c8)))
| ~ spl0_1 ),
inference(superposition,[],[f1065,f2259]) ).
fof(f2698,plain,
( ! [X0] : multiply(X0,inverse(sk_c7)) = multiply(X0,sk_c8)
| ~ spl0_1 ),
inference(superposition,[],[f1069,f2259]) ).
fof(f2691,plain,
( sk_c7 = multiply(inverse(multiply(sk_c8,sk_c8)),inverse(sk_c7))
| ~ spl0_1 ),
inference(superposition,[],[f2259,f329]) ).
fof(f3786,plain,
( sk_c7 = multiply(sk_c7,inverse(identity))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f2720,f44]) ).
fof(f2720,plain,
( sk_c7 = multiply(inverse(sk_c8),inverse(identity))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f2688,f384]) ).
fof(f2688,plain,
( sk_c7 = multiply(inverse(sk_c8),inverse(multiply(sk_c8,sk_c7)))
| ~ spl0_1 ),
inference(superposition,[],[f2259,f2179]) ).
fof(f3788,plain,
( sk_c7 = multiply(sk_c7,inverse(identity))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f2686,f44]) ).
fof(f2686,plain,
( sk_c7 = multiply(inverse(sk_c8),inverse(identity))
| ~ spl0_1 ),
inference(superposition,[],[f2259,f210]) ).
fof(f2586,plain,
( sk_c8 = inverse(sk_c7)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f2565,f1]) ).
fof(f2565,plain,
( sk_c8 = inverse(multiply(identity,sk_c7))
| ~ spl0_1 ),
inference(superposition,[],[f700,f2179]) ).
fof(f2585,plain,
( ! [X0] : multiply(multiply(X0,sk_c7),sk_c8) = X0
| ~ spl0_1 ),
inference(forward_demodulation,[],[f2563,f718]) ).
fof(f2563,plain,
( ! [X0] : multiply(inverse(inverse(multiply(X0,sk_c7))),sk_c8) = X0
| ~ spl0_1 ),
inference(superposition,[],[f64,f2179]) ).
fof(f2559,plain,
( ! [X0] : multiply(multiply(X0,sk_c7),sk_c8) = X0
| ~ spl0_1 ),
inference(superposition,[],[f701,f2179]) ).
fof(f2582,plain,
( sk_c8 = inverse(sk_c7)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f2557,f1]) ).
fof(f2557,plain,
( sk_c8 = inverse(multiply(identity,sk_c7))
| ~ spl0_1 ),
inference(superposition,[],[f2179,f700]) ).
fof(f2553,plain,
( ! [X0] : sk_c8 = multiply(inverse(X0),multiply(X0,inverse(sk_c7)))
| ~ spl0_1 ),
inference(superposition,[],[f2179,f1240]) ).
fof(f4172,plain,
( sk_c8 = multiply(inverse(identity),inverse(sk_c7))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f2550,f384]) ).
fof(f2550,plain,
( sk_c8 = multiply(inverse(multiply(sk_c8,sk_c7)),inverse(sk_c7))
| ~ spl0_1 ),
inference(superposition,[],[f2179,f329]) ).
fof(f2576,plain,
( sk_c8 = multiply(inverse(identity),inverse(sk_c7))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f2549,f718]) ).
fof(f2549,plain,
( sk_c8 = multiply(inverse(identity),inverse(inverse(inverse(sk_c7))))
| ~ spl0_1 ),
inference(superposition,[],[f2179,f628]) ).
fof(f2546,plain,
( sk_c8 = multiply(inverse(sk_c7),inverse(identity))
| ~ spl0_1 ),
inference(superposition,[],[f2179,f210]) ).
fof(f2545,plain,
( sk_c8 = multiply(inverse(identity),inverse(sk_c7))
| ~ spl0_1 ),
inference(superposition,[],[f2179,f2]) ).
fof(f2247,plain,
( ! [X0] : multiply(inverse(multiply(sk_c8,inverse(X0))),inverse(sk_c7)) = X0
| ~ spl0_1 ),
inference(superposition,[],[f1069,f1382]) ).
fof(f2243,plain,
( ! [X0] : identity = multiply(X0,multiply(inverse(multiply(sk_c8,X0)),inverse(sk_c7)))
| ~ spl0_1 ),
inference(superposition,[],[f806,f1382]) ).
fof(f2242,plain,
( ! [X0] : inverse(X0) = multiply(inverse(multiply(sk_c8,X0)),inverse(sk_c7))
| ~ spl0_1 ),
inference(superposition,[],[f1065,f1382]) ).
fof(f4170,plain,
( sk_c8 = multiply(inverse(identity),inverse(sk_c7))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f2234,f384]) ).
fof(f2234,plain,
( sk_c8 = multiply(inverse(multiply(sk_c8,sk_c7)),inverse(sk_c7))
| ~ spl0_1 ),
inference(superposition,[],[f1375,f1382]) ).
fof(f2232,plain,
( sk_c7 = multiply(sk_c8,inverse(multiply(sk_c8,inverse(sk_c7))))
| ~ spl0_1 ),
inference(superposition,[],[f329,f1382]) ).
fof(f2231,plain,
( sk_c7 = inverse(multiply(sk_c8,inverse(identity)))
| ~ spl0_1 ),
inference(superposition,[],[f210,f1382]) ).
fof(f2223,plain,
( sk_c7 = multiply(sk_c8,inverse(multiply(sk_c8,inverse(sk_c7))))
| ~ spl0_1 ),
inference(superposition,[],[f1382,f329]) ).
fof(f2222,plain,
( sk_c7 = inverse(multiply(sk_c8,inverse(identity)))
| ~ spl0_1 ),
inference(superposition,[],[f1382,f210]) ).
fof(f2218,plain,
( sk_c7 = multiply(sk_c7,inverse(identity))
| ~ spl0_1 ),
inference(superposition,[],[f1382,f384]) ).
fof(f2215,plain,
( sk_c7 = multiply(inverse(multiply(sk_c8,sk_c8)),inverse(sk_c7))
| ~ spl0_1 ),
inference(superposition,[],[f1382,f1382]) ).
fof(f3826,plain,
( sk_c7 = multiply(sk_c7,inverse(identity))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f2212,f44]) ).
fof(f2212,plain,
( sk_c7 = multiply(inverse(sk_c8),inverse(identity))
| ~ spl0_1 ),
inference(superposition,[],[f1382,f698]) ).
fof(f3829,plain,
( sk_c7 = multiply(sk_c7,inverse(identity))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f3828,f44]) ).
fof(f3828,plain,
( sk_c7 = multiply(inverse(sk_c8),inverse(identity))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f2211,f1065]) ).
fof(f2211,plain,
( ! [X0] : sk_c7 = multiply(multiply(X0,inverse(multiply(sk_c8,X0))),inverse(identity))
| ~ spl0_1 ),
inference(superposition,[],[f1382,f806]) ).
fof(f2201,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
| ~ spl0_1 ),
inference(forward_demodulation,[],[f2163,f718]) ).
fof(f2163,plain,
( ! [X0] : multiply(sk_c8,inverse(inverse(multiply(sk_c7,X0)))) = X0
| ~ spl0_1 ),
inference(superposition,[],[f1157,f1375]) ).
fof(f2154,plain,
( sk_c8 = inverse(multiply(sk_c7,inverse(identity)))
| ~ spl0_1 ),
inference(superposition,[],[f210,f1375]) ).
fof(f2152,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
| ~ spl0_1 ),
inference(superposition,[],[f1240,f1375]) ).
fof(f2145,plain,
( sk_c8 = inverse(multiply(sk_c7,inverse(identity)))
| ~ spl0_1 ),
inference(superposition,[],[f1375,f210]) ).
fof(f2136,plain,
( sk_c8 = multiply(inverse(sk_c7),inverse(identity))
| ~ spl0_1 ),
inference(superposition,[],[f1375,f698]) ).
fof(f3848,plain,
( sk_c8 = multiply(inverse(sk_c7),inverse(identity))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f2135,f1065]) ).
fof(f2135,plain,
( ! [X0] : sk_c8 = multiply(multiply(X0,inverse(multiply(sk_c7,X0))),inverse(identity))
| ~ spl0_1 ),
inference(superposition,[],[f1375,f806]) ).
fof(f2132,plain,
( sk_c8 = multiply(identity,inverse(sk_c7))
| ~ spl0_1 ),
inference(superposition,[],[f1375,f700]) ).
fof(f2130,plain,
( sk_c8 = multiply(identity,inverse(sk_c7))
| ~ spl0_1 ),
inference(superposition,[],[f1375,f395]) ).
fof(f1540,plain,
( identity = multiply(sk_c7,multiply(sk_c8,inverse(identity)))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f924,f718]) ).
fof(f924,plain,
( identity = multiply(inverse(inverse(sk_c7)),multiply(sk_c8,inverse(identity)))
| ~ spl0_1 ),
inference(superposition,[],[f806,f327]) ).
fof(f927,plain,
( identity = multiply(sk_c8,multiply(sk_c7,inverse(identity)))
| ~ spl0_1 ),
inference(superposition,[],[f806,f384]) ).
fof(f923,plain,
( identity = multiply(sk_c7,multiply(sk_c8,inverse(identity)))
| ~ spl0_1 ),
inference(superposition,[],[f806,f319]) ).
fof(f1319,plain,
( ! [X0] : multiply(multiply(X0,sk_c7),sk_c8) = X0
| ~ spl0_1 ),
inference(superposition,[],[f1240,f44]) ).
fof(f1953,plain,
( ! [X0] : multiply(X0,inverse(sk_c7)) = multiply(X0,sk_c8)
| ~ spl0_1 ),
inference(superposition,[],[f1157,f1242]) ).
fof(f1219,plain,
( sk_c7 = multiply(sk_c7,inverse(identity))
| ~ spl0_1 ),
inference(superposition,[],[f1157,f395]) ).
fof(f1520,plain,
( sk_c7 = multiply(sk_c7,inverse(identity))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f1098,f44]) ).
fof(f1098,plain,
( inverse(sk_c8) = multiply(sk_c7,inverse(identity))
| ~ spl0_1 ),
inference(superposition,[],[f1065,f384]) ).
fof(f16,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c8 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f21,axiom,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c8 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f4163,plain,
( ! [X3,X6,X7,X4] :
( sk_c8 != sk_c7
| identity != sk_c7
| sk_c8 != inverse(X3)
| sk_c8 != inverse(X6)
| sk_c7 != inverse(X7)
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != multiply(X7,identity)
| sk_c7 != multiply(inverse(X4),sk_c8) )
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f3877,f395]) ).
fof(f3877,plain,
( ! [X3,X6,X7,X4] :
( identity != sk_c7
| sk_c8 != inverse(X3)
| sk_c8 != inverse(X6)
| sk_c7 != inverse(X7)
| sk_c8 != multiply(sk_c7,identity)
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != multiply(X7,identity)
| sk_c7 != multiply(inverse(X4),sk_c8) )
| ~ spl0_1
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f1553,f1626]) ).
fof(f1553,plain,
( ! [X3,X6,X7,X4] :
( identity != sk_c6
| identity != sk_c7
| sk_c8 != inverse(X3)
| sk_c8 != inverse(X6)
| sk_c7 != inverse(X7)
| sk_c8 != multiply(sk_c7,identity)
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != multiply(X7,identity)
| sk_c7 != multiply(inverse(X4),sk_c8) )
| ~ spl0_1 ),
inference(inner_rewriting,[],[f1552]) ).
fof(f1094,plain,
( inverse(sk_c7) = multiply(sk_c8,inverse(identity))
| ~ spl0_1 ),
inference(superposition,[],[f1065,f319]) ).
fof(f1521,plain,
( inverse(sk_c7) = multiply(sk_c8,inverse(identity))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f1095,f718]) ).
fof(f1095,plain,
( inverse(inverse(inverse(sk_c7))) = multiply(sk_c8,inverse(identity))
| ~ spl0_1 ),
inference(superposition,[],[f1065,f327]) ).
fof(f1215,plain,
( inverse(sk_c7) = multiply(sk_c8,inverse(identity))
| ~ spl0_1 ),
inference(superposition,[],[f1157,f320]) ).
fof(f1394,plain,
( inverse(sk_c7) = multiply(sk_c8,inverse(identity))
| ~ spl0_1 ),
inference(superposition,[],[f1069,f327]) ).
fof(f1408,plain,
( ! [X0] : multiply(sk_c8,inverse(multiply(inverse(X0),inverse(sk_c7)))) = X0
| ~ spl0_1 ),
inference(superposition,[],[f329,f1069]) ).
fof(f1399,plain,
( ! [X0] : multiply(sk_c8,inverse(multiply(inverse(X0),inverse(sk_c7)))) = X0
| ~ spl0_1 ),
inference(superposition,[],[f1069,f329]) ).
fof(f1234,plain,
( sk_c8 = multiply(identity,inverse(sk_c7))
| ~ spl0_1 ),
inference(superposition,[],[f1157,f384]) ).
fof(f1112,plain,
( ! [X0] : inverse(X0) = multiply(sk_c8,inverse(multiply(X0,inverse(sk_c7))))
| ~ spl0_1 ),
inference(superposition,[],[f329,f1065]) ).
fof(f1105,plain,
( ! [X0] : inverse(X0) = multiply(sk_c8,inverse(multiply(X0,inverse(sk_c7))))
| ~ spl0_1 ),
inference(superposition,[],[f1065,f329]) ).
fof(f934,plain,
( ! [X0] : identity = multiply(X0,multiply(sk_c8,inverse(multiply(X0,inverse(sk_c7)))))
| ~ spl0_1 ),
inference(superposition,[],[f806,f329]) ).
fof(f893,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
| ~ spl0_1 ),
inference(forward_demodulation,[],[f866,f221]) ).
fof(f866,plain,
( ! [X0] : multiply(sk_c8,multiply(inverse(inverse(sk_c7)),X0)) = X0
| ~ spl0_1 ),
inference(superposition,[],[f329,f701]) ).
fof(f889,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
| ~ spl0_1 ),
inference(forward_demodulation,[],[f860,f221]) ).
fof(f860,plain,
( ! [X0] : multiply(sk_c8,multiply(inverse(inverse(sk_c7)),X0)) = X0
| ~ spl0_1 ),
inference(superposition,[],[f701,f329]) ).
fof(f841,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
| ~ spl0_1 ),
inference(superposition,[],[f701,f44]) ).
fof(f26,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c7 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f4159,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
| ~ spl0_1 ),
inference(forward_demodulation,[],[f397,f1]) ).
fof(f397,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c7,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f384]) ).
fof(f392,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
| ~ spl0_1 ),
inference(superposition,[],[f64,f329]) ).
fof(f386,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
| ~ spl0_1 ),
inference(superposition,[],[f329,f64]) ).
fof(f25,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c7 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f20,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c8 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f3930,plain,
( sk_c8 = multiply(sk_c7,identity)
| sk_c8 = inverse(sk_c4)
| ~ spl0_8 ),
inference(forward_demodulation,[],[f10,f1626]) ).
fof(f31,axiom,
( sk_c3 = inverse(sk_c2)
| sk_c8 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f3961,plain,
( sk_c8 = sk_c7
| sk_c3 = inverse(sk_c2)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8 ),
inference(forward_demodulation,[],[f3960,f700]) ).
fof(f3960,plain,
( sk_c7 = multiply(sk_c8,identity)
| sk_c3 = inverse(sk_c2)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8 ),
inference(forward_demodulation,[],[f3296,f377]) ).
fof(f1044,plain,
( identity = inverse(identity)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f951,f319]) ).
fof(f951,plain,
( identity = inverse(multiply(sk_c7,sk_c8))
| ~ spl0_1 ),
inference(superposition,[],[f318,f806]) ).
fof(f2197,plain,
( identity = inverse(identity)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f2156,f319]) ).
fof(f2156,plain,
( multiply(sk_c7,sk_c8) = inverse(multiply(sk_c7,sk_c8))
| ~ spl0_1 ),
inference(superposition,[],[f318,f1375]) ).
fof(f2587,plain,
( identity = inverse(identity)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f2567,f384]) ).
fof(f2567,plain,
( multiply(sk_c8,sk_c7) = inverse(multiply(sk_c8,sk_c7))
| ~ spl0_1 ),
inference(superposition,[],[f1242,f2179]) ).
fof(f3862,plain,
( identity = inverse(identity)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f1945,f384]) ).
fof(f1945,plain,
( multiply(sk_c8,sk_c7) = inverse(identity)
| ~ spl0_1 ),
inference(superposition,[],[f1242,f210]) ).
fof(f679,plain,
identity = inverse(identity),
inference(superposition,[],[f628,f211]) ).
fof(f682,plain,
identity = inverse(identity),
inference(superposition,[],[f211,f628]) ).
fof(f720,plain,
identity = inverse(identity),
inference(superposition,[],[f700,f2]) ).
fof(f721,plain,
identity = inverse(identity),
inference(superposition,[],[f700,f210]) ).
fof(f731,plain,
identity = inverse(identity),
inference(superposition,[],[f2,f700]) ).
fof(f15,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f30,axiom,
( sk_c3 = inverse(sk_c2)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f732,plain,
identity = inverse(identity),
inference(superposition,[],[f210,f700]) ).
fof(f801,plain,
identity = inverse(identity),
inference(superposition,[],[f698,f1]) ).
fof(f807,plain,
identity = inverse(identity),
inference(superposition,[],[f1,f698]) ).
fof(f1558,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f733,f718]) ).
fof(f733,plain,
identity = inverse(inverse(inverse(identity))),
inference(superposition,[],[f628,f700]) ).
fof(f1559,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f722,f718]) ).
fof(f722,plain,
identity = inverse(inverse(inverse(identity))),
inference(superposition,[],[f700,f628]) ).
fof(f1034,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f941,f2]) ).
fof(f941,plain,
! [X0] : identity = inverse(multiply(inverse(X0),X0)),
inference(superposition,[],[f806,f64]) ).
fof(f1035,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f942,f698]) ).
fof(f942,plain,
! [X0] : identity = inverse(multiply(X0,inverse(X0))),
inference(superposition,[],[f806,f701]) ).
fof(f1045,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f952,f2]) ).
fof(f952,plain,
! [X0] : identity = inverse(multiply(inverse(X0),X0)),
inference(superposition,[],[f64,f806]) ).
fof(f1046,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f953,f698]) ).
fof(f953,plain,
! [X0] : identity = inverse(multiply(X0,inverse(X0))),
inference(superposition,[],[f701,f806]) ).
fof(f1123,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f1071,f698]) ).
fof(f1071,plain,
! [X0] : inverse(identity) = multiply(X0,inverse(X0)),
inference(superposition,[],[f1065,f1]) ).
fof(f1252,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f1208,f698]) ).
fof(f1208,plain,
! [X0] : inverse(identity) = multiply(X0,inverse(X0)),
inference(superposition,[],[f1157,f210]) ).
fof(f1505,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f1327,f2]) ).
fof(f1327,plain,
! [X0] : multiply(inverse(X0),X0) = inverse(identity),
inference(superposition,[],[f1240,f210]) ).
fof(f1379,plain,
! [X0] : multiply(X0,inverse(identity)) = X0,
inference(superposition,[],[f1069,f2]) ).
fof(f1499,plain,
! [X0] : multiply(X0,inverse(identity)) = X0,
inference(forward_demodulation,[],[f1391,f718]) ).
fof(f1391,plain,
! [X0] : multiply(inverse(inverse(X0)),inverse(identity)) = X0,
inference(superposition,[],[f1069,f698]) ).
fof(f1501,plain,
! [X0] : multiply(X0,inverse(identity)) = X0,
inference(forward_demodulation,[],[f1500,f718]) ).
fof(f1500,plain,
! [X0] : multiply(inverse(inverse(X0)),inverse(identity)) = X0,
inference(forward_demodulation,[],[f1390,f1065]) ).
fof(f1390,plain,
! [X0,X1] : multiply(multiply(X1,inverse(multiply(inverse(X0),X1))),inverse(identity)) = X0,
inference(superposition,[],[f1069,f806]) ).
fof(f1502,plain,
! [X0] : multiply(X0,inverse(identity)) = X0,
inference(forward_demodulation,[],[f1381,f718]) ).
fof(f1381,plain,
! [X0] : inverse(inverse(X0)) = multiply(X0,inverse(identity)),
inference(superposition,[],[f1069,f628]) ).
fof(f1529,plain,
! [X0] : multiply(X0,inverse(identity)) = X0,
inference(forward_demodulation,[],[f1528,f718]) ).
fof(f1528,plain,
! [X0] : inverse(inverse(X0)) = multiply(X0,inverse(identity)),
inference(forward_demodulation,[],[f1074,f718]) ).
fof(f1074,plain,
! [X0] : inverse(inverse(inverse(inverse(X0)))) = multiply(X0,inverse(identity)),
inference(superposition,[],[f1065,f628]) ).
fof(f1530,plain,
! [X0] : multiply(X0,inverse(identity)) = X0,
inference(forward_demodulation,[],[f1072,f718]) ).
fof(f1072,plain,
! [X0] : inverse(inverse(X0)) = multiply(X0,inverse(identity)),
inference(superposition,[],[f1065,f2]) ).
fof(f1214,plain,
! [X0] : multiply(X0,inverse(identity)) = X0,
inference(superposition,[],[f1157,f700]) ).
fof(f1509,plain,
! [X0] : multiply(X0,inverse(identity)) = X0,
inference(forward_demodulation,[],[f1217,f718]) ).
fof(f1217,plain,
! [X0] : inverse(inverse(X0)) = multiply(X0,inverse(identity)),
inference(superposition,[],[f1157,f211]) ).
fof(f1335,plain,
! [X0] : multiply(X0,inverse(identity)) = X0,
inference(superposition,[],[f1240,f700]) ).
fof(f1341,plain,
! [X0] : multiply(X0,inverse(identity)) = X0,
inference(superposition,[],[f700,f1240]) ).
fof(f2141,plain,
( sk_c8 = multiply(sk_c8,inverse(identity))
| ~ spl0_1 ),
inference(superposition,[],[f1375,f319]) ).
fof(f2188,plain,
( sk_c8 = multiply(sk_c8,inverse(identity))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f2146,f698]) ).
fof(f2146,plain,
( sk_c8 = multiply(sk_c8,inverse(multiply(sk_c7,inverse(sk_c7))))
| ~ spl0_1 ),
inference(superposition,[],[f1375,f329]) ).
fof(f2195,plain,
( sk_c8 = multiply(sk_c8,inverse(identity))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f2155,f698]) ).
fof(f2155,plain,
( sk_c8 = multiply(sk_c8,inverse(multiply(sk_c7,inverse(sk_c7))))
| ~ spl0_1 ),
inference(superposition,[],[f329,f1375]) ).
fof(f377,plain,
( sk_c8 = sk_c5
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f374,f320]) ).
fof(f374,plain,
( sk_c5 = multiply(inverse(sk_c7),identity)
| ~ spl0_3 ),
inference(superposition,[],[f64,f372]) ).
fof(f365,plain,
( sk_c7 = inverse(sk_c5)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f363]) ).
fof(f363,plain,
( spl0_3
<=> sk_c7 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f32,axiom,
( sk_c3 = inverse(sk_c2)
| sk_c7 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f3285,plain,
( sk_c8 = multiply(sk_c7,identity)
| sk_c7 = inverse(sk_c5)
| ~ spl0_8 ),
inference(forward_demodulation,[],[f12,f1626]) ).
fof(f27,axiom,
( sk_c7 = inverse(sk_c5)
| sk_c7 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f3294,plain,
( sk_c7 = sk_c5
| sk_c7 = multiply(sk_c2,sk_c3)
| ~ spl0_8 ),
inference(forward_demodulation,[],[f3293,f700]) ).
fof(f3293,plain,
( sk_c7 = multiply(sk_c5,identity)
| sk_c7 = multiply(sk_c2,sk_c3)
| ~ spl0_8 ),
inference(forward_demodulation,[],[f28,f1626]) ).
fof(f3296,plain,
( sk_c7 = multiply(sk_c5,identity)
| sk_c3 = inverse(sk_c2)
| ~ spl0_8 ),
inference(forward_demodulation,[],[f33,f1626]) ).
fof(f37,axiom,
( sk_c7 = inverse(sk_c5)
| sk_c7 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
fof(f3278,plain,
( sk_c7 = sk_c5
| sk_c7 = multiply(sk_c3,sk_c8)
| ~ spl0_8 ),
inference(forward_demodulation,[],[f3277,f700]) ).
fof(f3277,plain,
( sk_c7 = multiply(sk_c5,identity)
| sk_c7 = multiply(sk_c3,sk_c8)
| ~ spl0_8 ),
inference(forward_demodulation,[],[f38,f1626]) ).
fof(f2707,plain,
( multiply(sk_c7,sk_c7) = inverse(multiply(sk_c8,sk_c8))
| ~ spl0_1 ),
inference(superposition,[],[f1242,f2259]) ).
fof(f2233,plain,
( multiply(sk_c7,sk_c7) = inverse(multiply(sk_c8,sk_c8))
| ~ spl0_1 ),
inference(superposition,[],[f318,f1382]) ).
fof(f2706,plain,
( ! [X0] : multiply(sk_c7,X0) = inverse(multiply(inverse(X0),sk_c8))
| ~ spl0_1 ),
inference(superposition,[],[f1240,f2259]) ).
fof(f2704,plain,
( ! [X0,X1] : multiply(sk_c7,X1) = multiply(inverse(multiply(X0,sk_c8)),multiply(X0,X1))
| ~ spl0_1 ),
inference(superposition,[],[f3,f2259]) ).
fof(f2700,plain,
( ! [X0] : inverse(multiply(X0,sk_c8)) = multiply(sk_c7,inverse(X0))
| ~ spl0_1 ),
inference(superposition,[],[f1157,f2259]) ).
fof(f2695,plain,
( ! [X0,X1] : sk_c7 = multiply(inverse(multiply(X0,multiply(X1,sk_c8))),multiply(X0,X1))
| ~ spl0_1 ),
inference(superposition,[],[f2259,f3]) ).
fof(f2259,plain,
( ! [X0] : sk_c7 = multiply(inverse(multiply(X0,sk_c8)),X0)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f2213,f718]) ).
fof(f2213,plain,
( ! [X0] : sk_c7 = multiply(inverse(multiply(X0,sk_c8)),inverse(inverse(X0)))
| ~ spl0_1 ),
inference(superposition,[],[f1382,f1065]) ).
fof(f2566,plain,
( ! [X0] : multiply(sk_c8,X0) = inverse(multiply(inverse(X0),sk_c7))
| ~ spl0_1 ),
inference(superposition,[],[f1240,f2179]) ).
fof(f2564,plain,
( ! [X0,X1] : multiply(sk_c8,X1) = multiply(inverse(multiply(X0,sk_c7)),multiply(X0,X1))
| ~ spl0_1 ),
inference(superposition,[],[f3,f2179]) ).
fof(f2560,plain,
( ! [X0] : inverse(multiply(X0,sk_c7)) = multiply(sk_c8,inverse(X0))
| ~ spl0_1 ),
inference(superposition,[],[f1157,f2179]) ).
fof(f2554,plain,
( ! [X0,X1] : sk_c8 = multiply(inverse(multiply(X0,multiply(X1,sk_c7))),multiply(X0,X1))
| ~ spl0_1 ),
inference(superposition,[],[f2179,f3]) ).
fof(f2179,plain,
( ! [X0] : sk_c8 = multiply(inverse(multiply(X0,sk_c7)),X0)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f2137,f718]) ).
fof(f2137,plain,
( ! [X0] : sk_c8 = multiply(inverse(multiply(X0,sk_c7)),inverse(inverse(X0)))
| ~ spl0_1 ),
inference(superposition,[],[f1375,f1065]) ).
fof(f2249,plain,
( ! [X0,X1] : sk_c7 = multiply(X0,multiply(X1,inverse(multiply(sk_c8,multiply(X0,X1)))))
| ~ spl0_1 ),
inference(superposition,[],[f3,f1382]) ).
fof(f2248,plain,
( ! [X0] : multiply(X0,sk_c7) = inverse(multiply(sk_c8,inverse(X0)))
| ~ spl0_1 ),
inference(superposition,[],[f701,f1382]) ).
fof(f2245,plain,
( ! [X0,X1] : multiply(sk_c7,X1) = multiply(X0,multiply(inverse(multiply(sk_c8,X0)),X1))
| ~ spl0_1 ),
inference(superposition,[],[f3,f1382]) ).
fof(f2244,plain,
( ! [X0] : inverse(multiply(sk_c8,X0)) = multiply(inverse(X0),sk_c7)
| ~ spl0_1 ),
inference(superposition,[],[f64,f1382]) ).
fof(f2226,plain,
( ! [X0,X1] : sk_c7 = multiply(X0,multiply(X1,inverse(multiply(sk_c8,multiply(X0,X1)))))
| ~ spl0_1 ),
inference(superposition,[],[f1382,f3]) ).
fof(f2214,plain,
( ! [X0] : sk_c7 = multiply(inverse(multiply(inverse(X0),sk_c8)),inverse(X0))
| ~ spl0_1 ),
inference(superposition,[],[f1382,f1069]) ).
fof(f1382,plain,
( ! [X0] : sk_c7 = multiply(X0,inverse(multiply(sk_c8,X0)))
| ~ spl0_1 ),
inference(superposition,[],[f1069,f329]) ).
fof(f2171,plain,
( ! [X0,X1] : sk_c8 = multiply(X0,multiply(X1,inverse(multiply(sk_c7,multiply(X0,X1)))))
| ~ spl0_1 ),
inference(superposition,[],[f3,f1375]) ).
fof(f2170,plain,
( ! [X0] : multiply(X0,sk_c8) = inverse(multiply(sk_c7,inverse(X0)))
| ~ spl0_1 ),
inference(superposition,[],[f701,f1375]) ).
fof(f2205,plain,
( ! [X0] : multiply(inverse(multiply(sk_c7,inverse(X0))),sk_c7) = X0
| ~ spl0_1 ),
inference(forward_demodulation,[],[f2169,f44]) ).
fof(f2169,plain,
( ! [X0] : multiply(inverse(multiply(sk_c7,inverse(X0))),inverse(sk_c8)) = X0
| ~ spl0_1 ),
inference(superposition,[],[f1069,f1375]) ).
fof(f2167,plain,
( ! [X0,X1] : multiply(sk_c8,X1) = multiply(X0,multiply(inverse(multiply(sk_c7,X0)),X1))
| ~ spl0_1 ),
inference(superposition,[],[f3,f1375]) ).
fof(f2166,plain,
( ! [X0] : inverse(multiply(sk_c7,X0)) = multiply(inverse(X0),sk_c8)
| ~ spl0_1 ),
inference(superposition,[],[f64,f1375]) ).
fof(f2203,plain,
( ! [X0] : identity = multiply(X0,multiply(inverse(multiply(sk_c7,X0)),sk_c7))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f2165,f44]) ).
fof(f2165,plain,
( ! [X0] : identity = multiply(X0,multiply(inverse(multiply(sk_c7,X0)),inverse(sk_c8)))
| ~ spl0_1 ),
inference(superposition,[],[f806,f1375]) ).
fof(f2202,plain,
( ! [X0] : inverse(X0) = multiply(inverse(multiply(sk_c7,X0)),sk_c7)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f2164,f44]) ).
fof(f2164,plain,
( ! [X0] : inverse(X0) = multiply(inverse(multiply(sk_c7,X0)),inverse(sk_c8))
| ~ spl0_1 ),
inference(superposition,[],[f1065,f1375]) ).
fof(f2149,plain,
( ! [X0,X1] : sk_c8 = multiply(X0,multiply(X1,inverse(multiply(sk_c7,multiply(X0,X1)))))
| ~ spl0_1 ),
inference(superposition,[],[f1375,f3]) ).
fof(f2180,plain,
( sk_c8 = multiply(inverse(multiply(sk_c7,sk_c7)),sk_c7)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f2139,f44]) ).
fof(f2139,plain,
( sk_c8 = multiply(inverse(multiply(sk_c7,sk_c7)),inverse(sk_c8))
| ~ spl0_1 ),
inference(superposition,[],[f1375,f1375]) ).
fof(f2138,plain,
( ! [X0] : sk_c8 = multiply(inverse(multiply(inverse(X0),sk_c7)),inverse(X0))
| ~ spl0_1 ),
inference(superposition,[],[f1375,f1069]) ).
fof(f1375,plain,
( ! [X0] : sk_c8 = multiply(X0,inverse(multiply(sk_c7,X0)))
| ~ spl0_1 ),
inference(superposition,[],[f1069,f44]) ).
fof(f1957,plain,
( ! [X0,X1] : multiply(X0,X1) = multiply(multiply(X0,sk_c8),multiply(sk_c7,X1))
| ~ spl0_1 ),
inference(superposition,[],[f3,f1242]) ).
fof(f1956,plain,
( ! [X0] : sk_c7 = multiply(inverse(multiply(X0,sk_c8)),X0)
| ~ spl0_1 ),
inference(superposition,[],[f64,f1242]) ).
fof(f1955,plain,
( ! [X0] : identity = multiply(multiply(X0,sk_c8),multiply(sk_c7,inverse(X0)))
| ~ spl0_1 ),
inference(superposition,[],[f806,f1242]) ).
fof(f1954,plain,
( ! [X0] : inverse(multiply(X0,sk_c8)) = multiply(sk_c7,inverse(X0))
| ~ spl0_1 ),
inference(superposition,[],[f1065,f1242]) ).
fof(f1951,plain,
( ! [X0,X1] : multiply(X0,X1) = multiply(multiply(X0,multiply(X1,sk_c8)),sk_c7)
| ~ spl0_1 ),
inference(superposition,[],[f1242,f3]) ).
fof(f1242,plain,
( ! [X0] : multiply(multiply(X0,sk_c8),sk_c7) = X0
| ~ spl0_1 ),
inference(superposition,[],[f1157,f44]) ).
fof(f1626,plain,
( identity = sk_c6
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f1624]) ).
fof(f1624,plain,
( spl0_8
<=> identity = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f1563,plain,
( identity = sk_c6
| sk_c7 = multiply(sk_c3,sk_c8)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f34,f319]) ).
fof(f1571,plain,
( identity = sk_c6
| sk_c8 = multiply(sk_c7,sk_c6)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f9,f319]) ).
fof(f1577,plain,
( identity = sk_c6
| sk_c3 = inverse(sk_c2)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f29,f319]) ).
fof(f1580,plain,
( identity = sk_c6
| sk_c8 = inverse(sk_c1)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f14,f319]) ).
fof(f1578,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c8 = inverse(sk_c1)
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f18,f377]) ).
fof(f1575,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c3 = inverse(sk_c2)
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f33,f377]) ).
fof(f1569,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c8 = multiply(sk_c7,sk_c6)
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f13,f377]) ).
fof(f1568,plain,
( identity = sk_c6
| sk_c8 = multiply(sk_c1,sk_c7)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f19,f319]) ).
fof(f1566,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c8 = multiply(sk_c1,sk_c7)
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f23,f377]) ).
fof(f1565,plain,
( identity = sk_c6
| sk_c7 = multiply(sk_c2,sk_c3)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f24,f319]) ).
fof(f1564,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c7 = multiply(sk_c2,sk_c3)
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f28,f377]) ).
fof(f1562,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c7 = multiply(sk_c3,sk_c8)
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f38,f377]) ).
fof(f1552,plain,
( ! [X3,X6,X7,X4] :
( identity != sk_c6
| identity != sk_c7
| sk_c8 != inverse(X3)
| sk_c8 != inverse(X6)
| sk_c7 != inverse(X7)
| sk_c8 != multiply(sk_c7,sk_c6)
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != multiply(X7,sk_c6)
| sk_c7 != multiply(inverse(X4),sk_c8) )
| ~ spl0_1 ),
inference(forward_demodulation,[],[f1551,f319]) ).
fof(f1551,plain,
( ! [X3,X6,X7,X4] :
( identity != sk_c7
| sk_c8 != inverse(X3)
| sk_c8 != inverse(X6)
| sk_c7 != inverse(X7)
| sk_c8 != multiply(sk_c7,sk_c6)
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != multiply(X7,sk_c6)
| sk_c7 != multiply(inverse(X4),sk_c8)
| multiply(sk_c7,sk_c8) != sk_c6 )
| ~ spl0_1 ),
inference(forward_demodulation,[],[f755,f698]) ).
fof(f755,plain,
( ! [X3,X6,X7,X4] :
( sk_c8 != inverse(X3)
| sk_c8 != inverse(X6)
| sk_c7 != inverse(X7)
| sk_c8 != multiply(sk_c7,sk_c6)
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != multiply(X7,sk_c6)
| sk_c7 != multiply(inverse(X4),sk_c8)
| sk_c7 != multiply(X4,inverse(X4))
| multiply(sk_c7,sk_c8) != sk_c6 )
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f40,f44]) ).
fof(f902,plain,
! [X0] : identity = multiply(inverse(X0),multiply(X0,inverse(identity))),
inference(superposition,[],[f806,f2]) ).
fof(f1546,plain,
! [X0] : identity = multiply(inverse(X0),multiply(X0,inverse(identity))),
inference(forward_demodulation,[],[f904,f718]) ).
fof(f904,plain,
! [X0] : identity = multiply(inverse(inverse(inverse(X0))),multiply(X0,inverse(identity))),
inference(superposition,[],[f806,f628]) ).
fof(f1005,plain,
! [X0,X1] : identity = multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),inverse(identity)))),
inference(forward_demodulation,[],[f921,f3]) ).
fof(f921,plain,
! [X0,X1] : identity = multiply(X0,multiply(multiply(X1,inverse(multiply(X0,X1))),inverse(identity))),
inference(superposition,[],[f806,f806]) ).
fof(f922,plain,
! [X0] : identity = multiply(X0,multiply(inverse(X0),inverse(identity))),
inference(superposition,[],[f806,f698]) ).
fof(f1538,plain,
( identity = multiply(sk_c7,multiply(sk_c8,inverse(identity)))
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f931,f377]) ).
fof(f931,plain,
( identity = multiply(sk_c7,multiply(sk_c5,inverse(identity)))
| ~ spl0_3 ),
inference(superposition,[],[f806,f372]) ).
fof(f933,plain,
! [X0] : identity = multiply(X0,inverse(multiply(X0,inverse(identity)))),
inference(superposition,[],[f806,f210]) ).
fof(f1524,plain,
! [X0] : inverse(X0) = multiply(inverse(X0),inverse(identity)),
inference(forward_demodulation,[],[f1091,f1065]) ).
fof(f1091,plain,
! [X0,X1] : inverse(X0) = multiply(multiply(X1,inverse(multiply(X0,X1))),inverse(identity)),
inference(superposition,[],[f1065,f806]) ).
fof(f1092,plain,
! [X0] : inverse(X0) = multiply(inverse(X0),inverse(identity)),
inference(superposition,[],[f1065,f698]) ).
fof(f1104,plain,
! [X0] : inverse(X0) = inverse(multiply(X0,inverse(identity))),
inference(superposition,[],[f1065,f210]) ).
fof(f1111,plain,
! [X0] : inverse(X0) = inverse(multiply(X0,inverse(identity))),
inference(superposition,[],[f210,f1065]) ).
fof(f1113,plain,
( ! [X0] : inverse(multiply(X0,sk_c8)) = multiply(sk_c7,inverse(X0))
| ~ spl0_1 ),
inference(superposition,[],[f318,f1065]) ).
fof(f1223,plain,
( ! [X0] : sk_c7 = multiply(X0,inverse(multiply(sk_c8,X0)))
| ~ spl0_1 ),
inference(superposition,[],[f1157,f318]) ).
fof(f1506,plain,
( ! [X0] : multiply(multiply(X0,sk_c8),sk_c7) = X0
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f1245,f377]) ).
fof(f1245,plain,
( ! [X0] : multiply(multiply(X0,sk_c5),sk_c7) = X0
| ~ spl0_3 ),
inference(superposition,[],[f1157,f365]) ).
fof(f1356,plain,
( ! [X0] : multiply(multiply(X0,sk_c7),sk_c8) = X0
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f1322,f377]) ).
fof(f1322,plain,
( ! [X0] : multiply(multiply(X0,sk_c7),sk_c5) = X0
| ~ spl0_3 ),
inference(superposition,[],[f1240,f365]) ).
fof(f1503,plain,
( ! [X0] : sk_c8 = multiply(X0,inverse(multiply(sk_c7,X0)))
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f1378,f377]) ).
fof(f1378,plain,
( ! [X0] : sk_c5 = multiply(X0,inverse(multiply(sk_c7,X0)))
| ~ spl0_3 ),
inference(superposition,[],[f1069,f365]) ).
fof(f1398,plain,
! [X0] : inverse(multiply(inverse(X0),inverse(identity))) = X0,
inference(superposition,[],[f1069,f210]) ).
fof(f1407,plain,
! [X0] : inverse(multiply(inverse(X0),inverse(identity))) = X0,
inference(superposition,[],[f210,f1069]) ).
fof(f1409,plain,
( ! [X0] : multiply(sk_c7,X0) = inverse(multiply(inverse(X0),sk_c8))
| ~ spl0_1 ),
inference(superposition,[],[f318,f1069]) ).
fof(f1420,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,inverse(multiply(inverse(X2),multiply(X0,X1))))) = X2,
inference(superposition,[],[f3,f1069]) ).
fof(f1419,plain,
! [X0,X1] : multiply(X0,X1) = inverse(multiply(inverse(X1),inverse(X0))),
inference(superposition,[],[f701,f1069]) ).
fof(f1417,plain,
! [X2,X0,X1] : multiply(X1,X2) = multiply(X0,multiply(inverse(multiply(inverse(X1),X0)),X2)),
inference(superposition,[],[f3,f1069]) ).
fof(f1416,plain,
! [X0,X1] : multiply(inverse(X0),X1) = inverse(multiply(inverse(X1),X0)),
inference(superposition,[],[f64,f1069]) ).
fof(f1415,plain,
! [X0,X1] : identity = multiply(X0,multiply(inverse(multiply(inverse(X1),X0)),inverse(X1))),
inference(superposition,[],[f806,f1069]) ).
fof(f1414,plain,
! [X0,X1] : inverse(X0) = multiply(inverse(multiply(inverse(X1),X0)),inverse(X1)),
inference(superposition,[],[f1065,f1069]) ).
fof(f1402,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,inverse(multiply(inverse(X2),multiply(X0,X1))))) = X2,
inference(superposition,[],[f1069,f3]) ).
fof(f1393,plain,
! [X0,X1] : multiply(inverse(multiply(inverse(X1),inverse(X0))),inverse(X1)) = X0,
inference(superposition,[],[f1069,f1069]) ).
fof(f1451,plain,
! [X0,X1] : multiply(inverse(multiply(X1,inverse(X0))),X1) = X0,
inference(forward_demodulation,[],[f1392,f718]) ).
fof(f1392,plain,
! [X0,X1] : multiply(inverse(multiply(X1,inverse(X0))),inverse(inverse(X1))) = X0,
inference(superposition,[],[f1069,f1065]) ).
fof(f1069,plain,
! [X0,X1] : multiply(X1,inverse(multiply(inverse(X0),X1))) = X0,
inference(forward_demodulation,[],[f964,f700]) ).
fof(f964,plain,
! [X0,X1] : multiply(X0,identity) = multiply(X1,inverse(multiply(inverse(X0),X1))),
inference(superposition,[],[f701,f806]) ).
fof(f1339,plain,
! [X2,X0,X1] : multiply(X0,X2) = multiply(multiply(X0,inverse(X1)),multiply(X1,X2)),
inference(superposition,[],[f3,f1240]) ).
fof(f1338,plain,
! [X0,X1] : multiply(inverse(multiply(X0,inverse(X1))),X0) = X1,
inference(superposition,[],[f64,f1240]) ).
fof(f1337,plain,
! [X0,X1] : identity = multiply(multiply(X0,inverse(X1)),multiply(X1,inverse(X0))),
inference(superposition,[],[f806,f1240]) ).
fof(f1336,plain,
! [X0,X1] : multiply(X1,inverse(X0)) = inverse(multiply(X0,inverse(X1))),
inference(superposition,[],[f1065,f1240]) ).
fof(f1333,plain,
! [X2,X0,X1] : multiply(X0,X1) = multiply(multiply(X0,multiply(X1,inverse(X2))),X2),
inference(superposition,[],[f1240,f3]) ).
fof(f1240,plain,
! [X0,X1] : multiply(multiply(X1,inverse(X0)),X0) = X1,
inference(superposition,[],[f1157,f718]) ).
fof(f1250,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),multiply(inverse(X1),X2)) = multiply(X0,X2),
inference(superposition,[],[f3,f1157]) ).
fof(f1249,plain,
! [X0,X1] : inverse(X1) = multiply(inverse(multiply(X0,X1)),X0),
inference(superposition,[],[f64,f1157]) ).
fof(f1248,plain,
! [X0,X1] : identity = multiply(multiply(X0,X1),multiply(inverse(X1),inverse(X0))),
inference(superposition,[],[f806,f1157]) ).
fof(f1247,plain,
! [X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(X1),inverse(X0)),
inference(superposition,[],[f1065,f1157]) ).
fof(f1225,plain,
! [X0,X1] : multiply(X1,inverse(multiply(inverse(X0),X1))) = X0,
inference(superposition,[],[f1157,f701]) ).
fof(f1213,plain,
! [X2,X0,X1] : multiply(X0,X1) = multiply(multiply(X0,multiply(X1,X2)),inverse(X2)),
inference(superposition,[],[f1157,f3]) ).
fof(f1157,plain,
! [X0,X1] : multiply(multiply(X0,X1),inverse(X1)) = X0,
inference(forward_demodulation,[],[f1089,f718]) ).
fof(f1089,plain,
! [X0,X1] : inverse(inverse(X0)) = multiply(multiply(X0,X1),inverse(X1)),
inference(superposition,[],[f1065,f64]) ).
fof(f1122,plain,
! [X2,X0,X1] : inverse(X2) = multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1))))),
inference(superposition,[],[f3,f1065]) ).
fof(f1121,plain,
! [X0,X1] : inverse(multiply(X1,inverse(X0))) = multiply(X0,inverse(X1)),
inference(superposition,[],[f701,f1065]) ).
fof(f1119,plain,
! [X2,X0,X1] : multiply(X0,multiply(inverse(multiply(X1,X0)),X2)) = multiply(inverse(X1),X2),
inference(superposition,[],[f3,f1065]) ).
fof(f1118,plain,
! [X0,X1] : inverse(multiply(X1,X0)) = multiply(inverse(X0),inverse(X1)),
inference(superposition,[],[f64,f1065]) ).
fof(f1204,plain,
! [X0,X1] : identity = multiply(X0,multiply(inverse(multiply(X1,X0)),X1)),
inference(forward_demodulation,[],[f1117,f718]) ).
fof(f1117,plain,
! [X0,X1] : identity = multiply(X0,multiply(inverse(multiply(X1,X0)),inverse(inverse(X1)))),
inference(superposition,[],[f806,f1065]) ).
fof(f1108,plain,
! [X2,X0,X1] : inverse(X2) = multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1))))),
inference(superposition,[],[f1065,f3]) ).
fof(f1161,plain,
! [X0,X1] : inverse(X0) = multiply(inverse(multiply(X1,X0)),X1),
inference(forward_demodulation,[],[f1093,f718]) ).
fof(f1093,plain,
! [X0,X1] : inverse(X0) = multiply(inverse(multiply(X1,X0)),inverse(inverse(X1))),
inference(superposition,[],[f1065,f1065]) ).
fof(f1090,plain,
! [X0,X1] : inverse(X0) = multiply(multiply(inverse(X0),X1),inverse(X1)),
inference(superposition,[],[f1065,f701]) ).
fof(f1078,plain,
! [X2,X0,X1] : inverse(multiply(X0,X1)) = multiply(X2,inverse(multiply(X0,multiply(X1,X2)))),
inference(superposition,[],[f1065,f3]) ).
fof(f1065,plain,
! [X0,X1] : inverse(X0) = multiply(X1,inverse(multiply(X0,X1))),
inference(forward_demodulation,[],[f961,f700]) ).
fof(f961,plain,
! [X0,X1] : multiply(inverse(X0),identity) = multiply(X1,inverse(multiply(X0,X1))),
inference(superposition,[],[f64,f806]) ).
fof(f1070,plain,
! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(X0,multiply(X1,X2)))))),
inference(forward_demodulation,[],[f965,f3]) ).
fof(f965,plain,
! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(multiply(X0,X1),X2))))),
inference(superposition,[],[f3,f806]) ).
fof(f1067,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
inference(forward_demodulation,[],[f1066,f3]) ).
fof(f1066,plain,
! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,inverse(multiply(X0,X1))),X2)) = X2,
inference(forward_demodulation,[],[f962,f1]) ).
fof(f962,plain,
! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,inverse(multiply(X0,X1))),X2)) = multiply(identity,X2),
inference(superposition,[],[f3,f806]) ).
fof(f1041,plain,
! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(X0,multiply(X1,X2)))))),
inference(forward_demodulation,[],[f948,f3]) ).
fof(f948,plain,
! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(multiply(X0,X1),X2))))),
inference(superposition,[],[f806,f3]) ).
fof(f937,plain,
! [X2,X0,X1] : identity = multiply(X2,multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1)))))),
inference(superposition,[],[f806,f3]) ).
fof(f908,plain,
! [X2,X0,X1] : identity = multiply(multiply(X0,X1),multiply(X2,inverse(multiply(X0,multiply(X1,X2))))),
inference(superposition,[],[f806,f3]) ).
fof(f806,plain,
! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
inference(superposition,[],[f698,f3]) ).
fof(f873,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
inference(superposition,[],[f3,f701]) ).
fof(f863,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
inference(superposition,[],[f701,f3]) ).
fof(f701,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[],[f221,f64]) ).
fof(f817,plain,
! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
inference(superposition,[],[f3,f698]) ).
fof(f836,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(forward_demodulation,[],[f815,f1]) ).
fof(f815,plain,
! [X0,X1] : multiply(identity,X1) = multiply(X0,multiply(inverse(X0),X1)),
inference(superposition,[],[f3,f698]) ).
fof(f698,plain,
! [X0] : identity = multiply(X0,inverse(X0)),
inference(superposition,[],[f221,f2]) ).
fof(f791,plain,
! [X0] : identity = multiply(X0,inverse(X0)),
inference(superposition,[],[f2,f718]) ).
fof(f790,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[],[f64,f718]) ).
fof(f718,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f700,f211]) ).
fof(f754,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f741,f700]) ).
fof(f741,plain,
! [X0] : inverse(inverse(X0)) = multiply(X0,identity),
inference(superposition,[],[f221,f700]) ).
fof(f729,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f211,f700]) ).
fof(f748,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f725,f700]) ).
fof(f725,plain,
! [X0] : inverse(inverse(X0)) = multiply(X0,identity),
inference(superposition,[],[f700,f221]) ).
fof(f700,plain,
! [X0] : multiply(X0,identity) = X0,
inference(superposition,[],[f221,f211]) ).
fof(f709,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[],[f64,f221]) ).
fof(f708,plain,
! [X0] : multiply(X0,identity) = X0,
inference(superposition,[],[f211,f221]) ).
fof(f705,plain,
! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
inference(superposition,[],[f64,f221]) ).
fof(f704,plain,
! [X0] : identity = multiply(X0,inverse(X0)),
inference(superposition,[],[f2,f221]) ).
fof(f221,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
inference(superposition,[],[f64,f64]) ).
fof(f690,plain,
! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f681,f1]) ).
fof(f681,plain,
! [X0,X1] : multiply(identity,X1) = multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)),
inference(superposition,[],[f3,f628]) ).
fof(f680,plain,
! [X0] : multiply(inverse(inverse(inverse(inverse(X0)))),identity) = X0,
inference(superposition,[],[f64,f628]) ).
fof(f628,plain,
! [X0] : identity = multiply(inverse(inverse(inverse(X0))),X0),
inference(superposition,[],[f64,f211]) ).
fof(f635,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
inference(forward_demodulation,[],[f629,f1]) ).
fof(f629,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),multiply(identity,X1)),
inference(superposition,[],[f3,f211]) ).
fof(f211,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f64,f2]) ).
fof(f395,plain,
( sk_c7 = multiply(sk_c7,identity)
| ~ spl0_1 ),
inference(superposition,[],[f318,f384]) ).
fof(f398,plain,
( sk_c7 = multiply(sk_c7,identity)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f396,f44]) ).
fof(f396,plain,
( sk_c7 = multiply(inverse(sk_c8),identity)
| ~ spl0_1 ),
inference(superposition,[],[f64,f384]) ).
fof(f384,plain,
( identity = multiply(sk_c8,sk_c7)
| ~ spl0_1 ),
inference(superposition,[],[f329,f2]) ).
fof(f389,plain,
( ! [X0] : multiply(inverse(inverse(sk_c7)),multiply(sk_c8,X0)) = X0
| ~ spl0_1 ),
inference(superposition,[],[f64,f329]) ).
fof(f388,plain,
( identity = multiply(sk_c8,sk_c7)
| ~ spl0_1 ),
inference(superposition,[],[f2,f329]) ).
fof(f329,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(sk_c7),X0)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f328,f1]) ).
fof(f328,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(sk_c7),multiply(identity,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f320]) ).
fof(f378,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c5,X0)) = X0
| ~ spl0_3 ),
inference(forward_demodulation,[],[f375,f1]) ).
fof(f375,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c5,X0))
| ~ spl0_3 ),
inference(superposition,[],[f3,f372]) ).
fof(f372,plain,
( identity = multiply(sk_c7,sk_c5)
| ~ spl0_3 ),
inference(superposition,[],[f2,f365]) ).
fof(f371,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c5,X0)) = X0
| ~ spl0_3 ),
inference(superposition,[],[f64,f365]) ).
fof(f17,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c7 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f359,plain,
! [X0] : multiply(inverse(inverse(identity)),X0) = X0,
inference(superposition,[],[f64,f210]) ).
fof(f210,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f64,f1]) ).
fof(f345,plain,
( ! [X0] : multiply(inverse(inverse(sk_c7)),multiply(sk_c8,X0)) = X0
| ~ spl0_1 ),
inference(forward_demodulation,[],[f344,f1]) ).
fof(f344,plain,
( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(sk_c7)),multiply(sk_c8,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f327]) ).
fof(f343,plain,
( sk_c8 = multiply(inverse(inverse(inverse(sk_c7))),identity)
| ~ spl0_1 ),
inference(superposition,[],[f64,f327]) ).
fof(f327,plain,
( identity = multiply(inverse(inverse(sk_c7)),sk_c8)
| ~ spl0_1 ),
inference(superposition,[],[f64,f320]) ).
fof(f335,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(sk_c7),X0)
| ~ spl0_1 ),
inference(superposition,[],[f64,f318]) ).
fof(f318,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = X0
| ~ spl0_1 ),
inference(superposition,[],[f64,f44]) ).
fof(f320,plain,
( sk_c8 = multiply(inverse(sk_c7),identity)
| ~ spl0_1 ),
inference(superposition,[],[f64,f319]) ).
fof(f322,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = X0
| ~ spl0_1 ),
inference(forward_demodulation,[],[f321,f1]) ).
fof(f321,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c8,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f319]) ).
fof(f319,plain,
( identity = multiply(sk_c7,sk_c8)
| ~ spl0_1 ),
inference(superposition,[],[f2,f44]) ).
fof(f44,plain,
( inverse(sk_c8) = sk_c7
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f42,plain,
( spl0_1
<=> inverse(sk_c8) = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f7,axiom,
( sk_c7 = inverse(sk_c5)
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f4,axiom,
( inverse(sk_c8) = sk_c7
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,axiom,
( inverse(sk_c8) = sk_c7
| sk_c8 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f8,axiom,
( inverse(sk_c8) = sk_c7
| sk_c7 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f12,axiom,
( sk_c7 = inverse(sk_c5)
| sk_c8 = multiply(sk_c7,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f14,axiom,
( sk_c8 = inverse(sk_c1)
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f18,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c7 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f22,axiom,
( sk_c7 = inverse(sk_c5)
| sk_c8 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f29,axiom,
( sk_c3 = inverse(sk_c2)
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f33,axiom,
( sk_c3 = inverse(sk_c2)
| sk_c7 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f9,axiom,
( sk_c8 = multiply(sk_c7,sk_c6)
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f11,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c8 = multiply(sk_c7,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f13,axiom,
( sk_c8 = multiply(sk_c7,sk_c6)
| sk_c7 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f19,axiom,
( sk_c8 = multiply(sk_c1,sk_c7)
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f23,axiom,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c7 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f24,axiom,
( sk_c7 = multiply(sk_c2,sk_c3)
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f28,axiom,
( sk_c7 = multiply(sk_c2,sk_c3)
| sk_c7 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f34,axiom,
( sk_c7 = multiply(sk_c3,sk_c8)
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f36,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c7 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
fof(f38,axiom,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c7 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
fof(f40,plain,
! [X3,X6,X7,X4] :
( sk_c8 != inverse(X3)
| sk_c8 != inverse(X6)
| sk_c7 != inverse(X7)
| inverse(sk_c8) != sk_c7
| sk_c8 != multiply(sk_c7,sk_c6)
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != multiply(X7,sk_c6)
| sk_c7 != multiply(inverse(X4),sk_c8)
| sk_c7 != multiply(X4,inverse(X4))
| multiply(sk_c7,sk_c8) != sk_c6 ),
inference(equality_resolution,[],[f39]) ).
fof(f39,axiom,
! [X3,X6,X7,X4,X5] :
( sk_c8 != inverse(X3)
| sk_c8 != inverse(X6)
| sk_c7 != inverse(X7)
| inverse(sk_c8) != sk_c7
| inverse(X4) != X5
| sk_c8 != multiply(sk_c7,sk_c6)
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != multiply(X7,sk_c6)
| sk_c7 != multiply(X5,sk_c8)
| sk_c7 != multiply(X4,X5)
| multiply(sk_c7,sk_c8) != sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
fof(f213,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[],[f64,f3]) ).
fof(f64,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f57,f1]) ).
fof(f57,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/sandbox2/benchmark/theBenchmark.p',associativity) ).
fof(f5,axiom,
( sk_c8 = inverse(sk_c4)
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f35,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c7 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
fof(f10,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c8 = multiply(sk_c7,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f4349,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f4348]) ).
fof(f4348,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| spl0_12 ),
inference(global_subsumption,[],[f10,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f24,f23,f19,f13,f11,f9,f33,f29,f22,f18,f14,f12,f8,f6,f4,f7,f44,f319,f322,f320,f318,f335,f327,f343,f345,f210,f359,f17,f371,f372,f378,f329,f388,f389,f384,f398,f395,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1409,f1407,f1398,f1503,f1356,f1506,f1223,f1113,f1111,f1104,f1092,f1524,f933,f1538,f922,f1005,f1546,f902,f1552,f1562,f1564,f1565,f1566,f1568,f1569,f1575,f1578,f1580,f1577,f1571,f1563,f1626,f1242,f1951,f1954,f1955,f1956,f1957,f1375,f2138,f2180,f2149,f2202,f2203,f2166,f2167,f2205,f2170,f2171,f1382,f2214,f2226,f2244,f2245,f2248,f2249,f2179,f2554,f2560,f2564,f2566,f2259,f2695,f2700,f2704,f2706,f2233,f2707,f3278,f37,f3296,f3294,f27,f3285,f32,f365,f2881,f377,f2195,f2188,f2141,f1341,f1335,f1509,f1214,f1530,f1529,f1502,f1501,f1499,f1379,f1505,f1252,f1123,f1046,f1045,f1035,f1034,f1559,f1558,f807,f801,f732,f30,f15,f731,f721,f720,f682,f679,f3862,f2587,f2197,f1044,f3961,f31,f3930,f20,f25,f386,f392,f4159,f26,f841,f889,f893,f934,f1105,f1112,f1234,f1399,f1408,f1394,f1215,f1521,f1094,f4163,f21,f16,f1520,f1219,f1953,f1319,f923,f927,f1540,f2130,f2132,f3848,f2136,f2145,f2152,f2154,f2201,f3829,f3826,f2215,f2218,f2222,f2223,f2231,f2232,f4170,f2242,f2243,f2247,f2545,f2546,f2576,f4172,f2553,f2582,f2559,f2585,f2586,f3788,f3786,f2691,f2698,f2732,f2702,f2738,f2689,f3765,f3600,f1033,f1964,f1365,f3844,f3836,f2150,f2143,f1254,f1525,f4177,f779,f4162,f4161,f727,f716,f4176,f4167,f3371]) ).
fof(f4347,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f4346]) ).
fof(f4346,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| spl0_12 ),
inference(global_subsumption,[],[f10,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f24,f23,f19,f13,f11,f9,f33,f29,f22,f18,f14,f12,f8,f6,f4,f7,f44,f319,f322,f320,f318,f335,f327,f343,f345,f210,f359,f17,f371,f372,f378,f329,f388,f389,f384,f398,f395,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1409,f1407,f1398,f1503,f1356,f1506,f1223,f1113,f1111,f1104,f1092,f1524,f933,f1538,f922,f1005,f1546,f902,f1552,f1562,f1564,f1565,f1566,f1568,f1569,f1575,f1578,f1580,f1577,f1571,f1563,f1626,f1242,f1951,f1954,f1955,f1956,f1957,f1375,f2138,f2180,f2149,f2202,f2203,f2166,f2167,f2205,f2170,f2171,f1382,f2214,f2226,f2244,f2245,f2248,f2249,f2179,f2554,f2560,f2564,f2566,f2259,f2695,f2700,f2704,f2706,f2233,f2707,f3278,f37,f3296,f3294,f27,f3285,f32,f365,f2881,f377,f3371,f2195,f2188,f2141,f1341,f1335,f1509,f1214,f1530,f1529,f1502,f1501,f1499,f1379,f1505,f1252,f1123,f1046,f1045,f1035,f1034,f1559,f1558,f807,f801,f732,f30,f15,f731,f721,f720,f682,f679,f3862,f2587,f2197,f1044,f3961,f31,f3930,f20,f25,f386,f392,f4159,f26,f841,f889,f893,f934,f1105,f1112,f1234,f1399,f1408,f1394,f1215,f1521,f1094,f4163,f21,f16,f1520,f1219,f1953,f1319,f923,f927,f1540,f2130,f2132,f3848,f2136,f2145,f2152,f2154,f2201,f3829,f3826,f2215,f2218,f2222,f2223,f2231,f2232,f4170,f2242,f2243,f2247,f2545,f2546,f2576,f4172,f2553,f2582,f2559,f2585,f2586,f3788,f3786,f2691,f2698,f2732,f2702,f2738,f2689,f3765,f3600,f1033,f1964,f1365,f3844,f3836,f2150,f2143,f1254,f1525,f4177,f779,f4162,f4161,f727,f716,f4176,f4167]) ).
fof(f4345,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f4344]) ).
fof(f4344,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| spl0_12 ),
inference(global_subsumption,[],[f10,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f24,f23,f19,f13,f11,f9,f33,f29,f22,f18,f14,f12,f8,f6,f4,f7,f44,f319,f322,f320,f318,f335,f327,f343,f345,f210,f359,f17,f371,f372,f378,f329,f388,f389,f384,f398,f395,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1409,f1407,f1398,f1503,f1356,f1506,f1223,f1113,f1111,f1104,f1092,f1524,f933,f1538,f922,f1005,f1546,f902,f1552,f1562,f1564,f1565,f1566,f1568,f1569,f1575,f1578,f1580,f1577,f1571,f1563,f1626,f1242,f1951,f1954,f1955,f1956,f1957,f1375,f2138,f2180,f2149,f2202,f2203,f2166,f2167,f2205,f2170,f2171,f1382,f2214,f2226,f2244,f2245,f2248,f2249,f2179,f2554,f2560,f2564,f2566,f2259,f2695,f2700,f2704,f2706,f2233,f2707,f3278,f37,f3296,f3294,f27,f3285,f32,f365,f2881,f377,f3371,f2195,f2188,f2141,f1341,f1335,f1509,f1214,f1530,f1529,f1502,f1501,f1499,f1379,f1505,f1252,f1123,f1046,f1045,f1035,f1034,f1559,f1558,f807,f801,f732,f30,f15,f731,f721,f720,f682,f679,f3862,f2587,f2197,f1044,f3961,f31,f3930,f20,f25,f386,f392,f4159,f26,f841,f889,f893,f934,f1105,f1112,f1234,f1399,f1408,f1394,f1215,f1521,f1094,f4163,f21,f4167,f16,f1520,f1219,f1953,f1319,f923,f927,f1540,f2130,f2132,f3848,f2136,f2145,f2152,f2154,f2201,f3829,f3826,f2215,f2218,f2222,f2223,f2231,f2232,f4170,f2242,f2243,f2247,f2545,f2546,f2576,f4172,f2553,f2582,f2559,f2585,f2586,f3788,f3786,f2691,f2698,f2732,f2702,f2738,f2689,f3765,f3600,f1033,f1964,f1365,f3844,f3836,f2150,f2143,f1254,f1525,f4177,f779,f4162,f4161,f727,f716,f4176]) ).
fof(f4343,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f4342]) ).
fof(f4342,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| spl0_12 ),
inference(global_subsumption,[],[f1597,f10,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f24,f23,f19,f13,f11,f9,f33,f29,f22,f18,f14,f12,f8,f6,f4,f7,f44,f319,f322,f320,f318,f335,f327,f343,f345,f210,f359,f17,f371,f372,f378,f329,f388,f389,f384,f398,f395,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1409,f1407,f1398,f1503,f1356,f1506,f1223,f1113,f1111,f1104,f1092,f1524,f933,f1538,f922,f1005,f1546,f902,f1552,f1562,f1564,f1565,f1566,f1568,f1569,f1575,f1578,f1580,f1577,f1571,f1563,f1626,f1242,f1951,f1954,f1955,f1956,f1957,f1375,f2138,f2180,f2149,f2202,f2203,f2166,f2167,f2205,f2170,f2171,f1382,f2214,f2226,f2244,f2245,f2248,f2249,f2179,f2554,f2560,f2564,f2566,f2259,f2695,f2700,f2704,f2706,f2233,f2707,f3278,f37,f3296,f3294,f27,f3285,f32,f365,f2881,f377,f3371,f2195,f2188,f2141,f1341,f1335,f1509,f1214,f1530,f1529,f1502,f1501,f1499,f1379,f1505,f1252,f1123,f1046,f1045,f1035,f1034,f1559,f1558,f807,f801,f732,f30,f15,f731,f721,f720,f682,f679,f3862,f2587,f2197,f1044,f3961,f31,f3930,f20,f25,f386,f392,f4159,f26,f841,f889,f893,f934,f1105,f1112,f1234,f1399,f1408,f1394,f1215,f1521,f1094,f4163,f21,f4167,f16,f1520,f1219,f1953,f1319,f923,f927,f1540,f2130,f2132,f3848,f2136,f2145,f2152,f2154,f2201,f3829,f3826,f2215,f2218,f2222,f2223,f2231,f2232,f4170,f2242,f2243,f2247,f2545,f2546,f2576,f4172,f2553,f2582,f2559,f2585,f2586,f3788,f3786,f2691,f2698,f2732,f2702,f2738,f2689,f4176,f3765,f3600,f1033,f1964,f1365,f3844,f3836,f2150,f2143,f1254,f1525,f4177,f779,f4162,f4161,f727,f716]) ).
fof(f1597,plain,
( sk_c7 = sk_c1
| ~ spl0_1
| ~ spl0_4 ),
inference(forward_demodulation,[],[f1588,f44]) ).
fof(f1588,plain,
( inverse(sk_c8) = sk_c1
| ~ spl0_4 ),
inference(superposition,[],[f718,f369]) ).
fof(f369,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f367]) ).
fof(f367,plain,
( spl0_4
<=> sk_c8 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f4341,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f4340]) ).
fof(f4340,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| spl0_12 ),
inference(global_subsumption,[],[f4009,f10,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f24,f23,f19,f13,f11,f9,f33,f29,f22,f18,f14,f12,f8,f6,f4,f7,f44,f319,f322,f320,f318,f335,f327,f343,f345,f210,f359,f17,f371,f372,f378,f329,f388,f389,f384,f398,f395,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1409,f1407,f1398,f1503,f1356,f1506,f1223,f1113,f1111,f1104,f1092,f1524,f933,f1538,f922,f1005,f1546,f902,f1552,f1562,f1564,f1565,f1566,f1568,f1569,f1575,f1578,f1580,f1577,f1571,f1563,f1626,f1242,f1951,f1954,f1955,f1956,f1957,f1375,f2138,f2180,f2149,f2202,f2203,f2166,f2167,f2205,f2170,f2171,f1382,f2214,f2226,f2244,f2245,f2248,f2249,f2179,f2554,f2560,f2564,f2566,f2259,f2695,f2700,f2704,f2706,f2233,f2707,f3278,f37,f3296,f3294,f27,f3285,f32,f365,f2881,f377,f3371,f2195,f2188,f2141,f1341,f1335,f1509,f1214,f1530,f1529,f1502,f1501,f1499,f1379,f1505,f1252,f1123,f1046,f1045,f1035,f1034,f1559,f1558,f807,f801,f732,f30,f15,f731,f721,f720,f682,f679,f3862,f2587,f2197,f1044,f3961,f31,f3930,f20,f25,f386,f392,f4159,f26,f841,f889,f893,f934,f1105,f1112,f1234,f1399,f1408,f1394,f1215,f1521,f1094,f4163,f21,f4167,f16,f1520,f1219,f1953,f1319,f923,f927,f1540,f2130,f2132,f3848,f2136,f2145,f2152,f2154,f2201,f3829,f3826,f2215,f2218,f2222,f2223,f2231,f2232,f4170,f2242,f2243,f2247,f2545,f2546,f2576,f4172,f2553,f2582,f2559,f2585,f2586,f3788,f3786,f2691,f2698,f2732,f2702,f2738,f2689,f4176,f3765,f3600,f1033,f1964,f1365,f3844,f3836,f2150,f2143,f1254,f1525,f4177,f779,f4162,f4161,f727,f716]) ).
fof(f4009,plain,
( sk_c7 = sk_c1
| ~ spl0_1
| ~ spl0_4 ),
inference(forward_demodulation,[],[f1588,f44]) ).
fof(f4339,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f4338]) ).
fof(f4338,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| spl0_12 ),
inference(global_subsumption,[],[f2291,f10,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f24,f23,f19,f13,f11,f9,f33,f29,f22,f18,f14,f12,f8,f6,f4,f7,f44,f319,f322,f320,f318,f335,f327,f343,f345,f210,f359,f17,f371,f372,f378,f329,f388,f389,f384,f398,f395,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1409,f1407,f1398,f1503,f1356,f1506,f1223,f1113,f1111,f1104,f1092,f1524,f933,f1538,f922,f1005,f1546,f902,f1552,f1562,f1564,f1565,f1566,f1568,f1569,f1575,f1578,f1580,f1577,f1571,f1563,f1626,f1242,f1951,f1954,f1955,f1956,f1957,f1375,f2138,f2180,f2149,f2202,f2203,f2166,f2167,f2205,f2170,f2171,f1382,f2214,f2226,f2244,f2245,f2248,f2249,f2179,f2554,f2560,f2564,f2566,f2259,f2695,f2700,f2704,f2706,f2233,f2707,f3278,f37,f3296,f3294,f27,f3285,f32,f365,f2881,f377,f3371,f2195,f2188,f2141,f1341,f1335,f1509,f1214,f1530,f1529,f1502,f1501,f1499,f1379,f1505,f1252,f1123,f1046,f1045,f1035,f1034,f1559,f1558,f807,f801,f732,f30,f15,f731,f721,f720,f682,f679,f3862,f2587,f2197,f1044,f3961,f31,f3930,f20,f25,f386,f392,f4159,f26,f841,f889,f893,f934,f1105,f1112,f1234,f1399,f1408,f1394,f1215,f1521,f1094,f4163,f21,f4167,f16,f1520,f1219,f1953,f1319,f923,f927,f1540,f2130,f2132,f3848,f2136,f2145,f2152,f2154,f2201,f3829,f3826,f2215,f2218,f2222,f2223,f2231,f2232,f4170,f2242,f2243,f2247,f2545,f2546,f2576,f4172,f2553,f2582,f2559,f2585,f2586,f3788,f3786,f2691,f2698,f2732,f2702,f2738,f2689,f4176,f3765,f3600,f1033,f1964,f1365,f3844,f3836,f2150,f2143,f1254,f1525,f4177,f779,f4162,f4161,f727,f716]) ).
fof(f2291,plain,
( sk_c7 = sk_c1
| ~ spl0_1
| ~ spl0_4 ),
inference(forward_demodulation,[],[f1589,f1382]) ).
fof(f1589,plain,
( ! [X0] : sk_c1 = multiply(X0,inverse(multiply(sk_c8,X0)))
| ~ spl0_4 ),
inference(superposition,[],[f1069,f369]) ).
fof(f4337,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f4336]) ).
fof(f4336,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| spl0_12 ),
inference(global_subsumption,[],[f369,f10,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f24,f23,f19,f13,f11,f9,f33,f29,f22,f18,f14,f12,f8,f6,f4,f7,f44,f319,f322,f320,f318,f335,f327,f343,f345,f210,f359,f17,f371,f372,f378,f329,f388,f389,f384,f398,f395,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1409,f1407,f1398,f1503,f1356,f1506,f1223,f1113,f1111,f1104,f1092,f1524,f933,f1538,f922,f1005,f1546,f902,f1552,f1562,f1564,f1565,f1566,f1568,f1569,f1575,f1578,f1580,f1577,f1571,f1563,f1626,f1242,f1951,f1954,f1955,f1956,f1957,f1375,f2138,f2180,f2149,f2202,f2203,f2166,f2167,f2205,f2170,f2171,f1382,f2214,f2226,f2244,f2245,f2248,f2249,f2179,f2554,f2560,f2564,f2566,f2259,f2695,f2700,f2704,f2706,f2233,f2707,f3278,f37,f3296,f3294,f27,f3285,f32,f365,f2881,f377,f3371,f2195,f2188,f2141,f1341,f1335,f1509,f1214,f1530,f1529,f1502,f1501,f1499,f1379,f1505,f1252,f1123,f1046,f1045,f1035,f1034,f1559,f1558,f807,f801,f732,f30,f15,f731,f721,f720,f682,f679,f3862,f2587,f2197,f1044,f3961,f31,f3930,f20,f25,f386,f392,f4159,f26,f841,f889,f893,f934,f1105,f1112,f1234,f1399,f1408,f1394,f1215,f1521,f1094,f4163,f21,f4167,f16,f1520,f1219,f1953,f1319,f923,f927,f1540,f2130,f2132,f3848,f2136,f2145,f2152,f2154,f2201,f3829,f3826,f2215,f2218,f2222,f2223,f2231,f2232,f4170,f2242,f2243,f2247,f2545,f2546,f2576,f4172,f2553,f2582,f2559,f2585,f2586,f3788,f3786,f2691,f2698,f2732,f2702,f2738,f2689,f4176,f3765,f3600,f1033,f1964,f1365,f3844,f3836,f2150,f2143,f1254,f1525,f4177,f779,f4162,f4161,f727,f716]) ).
fof(f4335,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f4334]) ).
fof(f4334,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| spl0_12 ),
inference(global_subsumption,[],[f4006,f10,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f24,f23,f19,f13,f11,f9,f33,f29,f22,f18,f14,f12,f8,f6,f4,f7,f44,f319,f322,f320,f318,f335,f327,f343,f345,f210,f359,f17,f371,f372,f378,f329,f388,f389,f384,f398,f395,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1409,f1407,f1398,f1503,f1356,f1506,f1223,f1113,f1111,f1104,f1092,f1524,f933,f1538,f922,f1005,f1546,f902,f1552,f1562,f1564,f1565,f1566,f1568,f1569,f1575,f1578,f1580,f1577,f1571,f1563,f1626,f1242,f1951,f1954,f1955,f1956,f1957,f1375,f2138,f2180,f2149,f2202,f2203,f2166,f2167,f2205,f2170,f2171,f1382,f2214,f2226,f2244,f2245,f2248,f2249,f2179,f2554,f2560,f2564,f2566,f2259,f2695,f2700,f2704,f2706,f2233,f2707,f3278,f37,f3296,f3294,f27,f3285,f32,f365,f2881,f377,f3371,f2195,f2188,f2141,f1341,f1335,f1509,f1214,f1530,f1529,f1502,f1501,f1499,f1379,f1505,f1252,f1123,f1046,f1045,f1035,f1034,f1559,f1558,f807,f801,f732,f30,f15,f731,f721,f720,f682,f679,f3862,f2587,f2197,f1044,f3961,f31,f3930,f20,f25,f386,f392,f4159,f26,f841,f889,f893,f934,f1105,f1112,f1234,f1399,f1408,f1394,f1215,f1521,f1094,f4163,f21,f4167,f16,f1520,f1219,f1953,f1319,f923,f927,f1540,f2130,f2132,f3848,f2136,f2145,f2152,f2154,f2201,f3829,f3826,f2215,f2218,f2222,f2223,f2231,f2232,f4170,f2242,f2243,f2247,f2545,f2546,f2576,f4172,f2553,f2582,f2559,f2585,f2586,f3788,f3786,f2691,f2698,f2732,f2702,f2738,f2689,f4176,f3765,f3600,f1033,f1964,f1365,f3844,f3836,f2150,f2143,f1254,f1525,f4177,f779,f4162,f4161,f727,f716]) ).
fof(f4006,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl0_4 ),
inference(global_subsumption,[],[f20,f10,f25,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f210,f359,f17,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1407,f1398,f1111,f1104,f1092,f1524,f933,f922,f1005,f1546,f902,f369,f1581,f1582,f1596,f1586,f1587,f1589,f1590,f1591,f37,f27,f32,f1341,f1335,f1509,f1214,f1530,f1529,f1502,f1501,f1499,f1379,f1505,f1252,f1123,f1046,f1045,f1035,f1034,f1559,f1558,f807,f801,f732,f731,f721,f720,f682,f679,f30,f15]) ).
fof(f1591,plain,
( ! [X0] : multiply(multiply(X0,sk_c8),sk_c1) = X0
| ~ spl0_4 ),
inference(superposition,[],[f1240,f369]) ).
fof(f1590,plain,
( ! [X0] : multiply(multiply(X0,sk_c1),sk_c8) = X0
| ~ spl0_4 ),
inference(superposition,[],[f1157,f369]) ).
fof(f1587,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c8,X0)) = X0
| ~ spl0_4 ),
inference(superposition,[],[f701,f369]) ).
fof(f1586,plain,
( identity = multiply(sk_c1,sk_c8)
| ~ spl0_4 ),
inference(superposition,[],[f698,f369]) ).
fof(f1596,plain,
( identity = multiply(sk_c8,sk_c1)
| ~ spl0_4 ),
inference(forward_demodulation,[],[f1585,f718]) ).
fof(f1585,plain,
( identity = multiply(inverse(inverse(sk_c8)),sk_c1)
| ~ spl0_4 ),
inference(superposition,[],[f628,f369]) ).
fof(f1582,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = X0
| ~ spl0_4 ),
inference(superposition,[],[f64,f369]) ).
fof(f1581,plain,
( identity = multiply(sk_c8,sk_c1)
| ~ spl0_4 ),
inference(superposition,[],[f2,f369]) ).
fof(f4333,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f4332]) ).
fof(f4332,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| spl0_12 ),
inference(global_subsumption,[],[f4169,f10,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f24,f23,f19,f13,f11,f9,f33,f29,f22,f18,f14,f12,f8,f6,f4,f7,f44,f319,f322,f320,f318,f335,f327,f343,f345,f210,f359,f17,f371,f372,f378,f329,f388,f389,f384,f398,f395,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1409,f1407,f1398,f1503,f1356,f1506,f1223,f1113,f1111,f1104,f1092,f1524,f933,f1538,f922,f1005,f1546,f902,f1552,f1562,f1564,f1565,f1566,f1568,f1569,f1575,f1578,f1580,f1577,f1571,f1563,f1626,f1242,f1951,f1954,f1955,f1956,f1957,f1375,f2138,f2180,f2149,f2202,f2203,f2166,f2167,f2205,f2170,f2171,f1382,f2214,f2226,f2244,f2245,f2248,f2249,f2179,f2554,f2560,f2564,f2566,f2259,f2695,f2700,f2704,f2706,f2233,f2707,f3278,f37,f3296,f3294,f27,f3285,f32,f365,f2881,f377,f3371,f2195,f2188,f2141,f1341,f1335,f1509,f1214,f1530,f1529,f1502,f1501,f1499,f1379,f1505,f1252,f1123,f1046,f1045,f1035,f1034,f1559,f1558,f807,f801,f732,f30,f15,f731,f721,f720,f682,f679,f3862,f2587,f2197,f1044,f3961,f31,f3930,f20,f25,f386,f392,f4159,f26,f841,f889,f893,f934,f1105,f1112,f1234,f1399,f1408,f1394,f1215,f1521,f1094,f4163,f21,f4167,f16,f1520,f1219,f1953,f1319,f923,f927,f1540,f2130,f2132,f3848,f2136,f2145,f2152,f2154,f2201,f3829,f3826,f2215,f2218,f2222,f2223,f2231,f2232,f4170,f2242,f2243,f2247,f2545,f2546,f2576,f4172,f2553,f2582,f2559,f2585,f2586,f3788,f3786,f2691,f2698,f2732,f2702,f2738,f2689,f4176,f3765,f3600,f1033,f1964,f1365,f3844,f3836,f2150,f2143,f1254,f1525,f4177,f779,f4162,f4161,f727,f716]) ).
fof(f4169,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl0_4 ),
inference(global_subsumption,[],[f10,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f24,f23,f19,f13,f11,f9,f33,f29,f22,f18,f14,f12,f8,f6,f4,f7,f210,f359,f17,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1407,f1398,f1111,f1104,f1092,f1524,f933,f922,f1005,f1546,f902,f1581,f1582,f1596,f1586,f1587,f1589,f1590,f1591,f37,f27,f32,f1341,f1335,f1509,f1214,f1530,f1529,f1502,f1501,f1499,f1379,f1505,f1252,f1123,f1046,f1045,f1035,f1034,f1559,f1558,f807,f801,f732,f30,f15,f731,f721,f720,f682,f679,f4006,f369,f31,f20,f25,f26,f21,f16]) ).
fof(f4331,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f4330]) ).
fof(f4330,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| spl0_12 ),
inference(global_subsumption,[],[f4178,f10,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f24,f23,f19,f13,f11,f9,f33,f29,f22,f18,f14,f12,f8,f6,f4,f7,f44,f319,f322,f320,f318,f335,f327,f343,f345,f210,f359,f17,f371,f372,f378,f329,f388,f389,f384,f398,f395,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1409,f1407,f1398,f1503,f1356,f1506,f1223,f1113,f1111,f1104,f1092,f1524,f933,f1538,f922,f1005,f1546,f902,f1552,f1562,f1564,f1565,f1566,f1568,f1569,f1575,f1578,f1580,f1577,f1571,f1563,f1626,f1242,f1951,f1954,f1955,f1956,f1957,f1375,f2138,f2180,f2149,f2202,f2203,f2166,f2167,f2205,f2170,f2171,f1382,f2214,f2226,f2244,f2245,f2248,f2249,f2179,f2554,f2560,f2564,f2566,f2259,f2695,f2700,f2704,f2706,f2233,f2707,f3278,f37,f3296,f3294,f27,f3285,f32,f365,f2881,f377,f3371,f2195,f2188,f2141,f1341,f1335,f1509,f1214,f1530,f1529,f1502,f1501,f1499,f1379,f1505,f1252,f1123,f1046,f1045,f1035,f1034,f1559,f1558,f807,f801,f732,f30,f15,f731,f721,f720,f682,f679,f3862,f2587,f2197,f1044,f3961,f31,f3930,f20,f25,f386,f392,f4159,f26,f841,f889,f893,f934,f1105,f1112,f1234,f1399,f1408,f1394,f1215,f1521,f1094,f4163,f21,f4167,f16,f1520,f1219,f1953,f1319,f923,f927,f1540,f2130,f2132,f3848,f2136,f2145,f2152,f2154,f2201,f3829,f3826,f2215,f2218,f2222,f2223,f2231,f2232,f4170,f2242,f2243,f2247,f2545,f2546,f2576,f4172,f2553,f2582,f2559,f2585,f2586,f3788,f3786,f2691,f2698,f2732,f2702,f2738,f2689,f4176,f3765,f3600,f1033,f1964,f1365,f3844,f3836,f2150,f2143,f1254,f1525,f4177,f779,f4162,f4161,f727,f716]) ).
fof(f4178,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8 ),
inference(global_subsumption,[],[f3765,f10,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f24,f23,f19,f13,f11,f9,f33,f29,f22,f18,f14,f12,f8,f6,f4,f7,f210,f359,f17,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1407,f1398,f1111,f1104,f1092,f1524,f933,f922,f1005,f1546,f902,f1581,f1582,f1596,f1586,f1587,f1589,f1590,f1591,f37,f27,f32,f1341,f1335,f1509,f1214,f1530,f1529,f1502,f1501,f1499,f1379,f1505,f1252,f1123,f1046,f1045,f1035,f1034,f1559,f1558,f807,f801,f732,f30,f15,f731,f721,f720,f682,f679,f4006,f369,f31,f20,f25,f26,f21,f16,f4169]) ).
fof(f4329,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f4328]) ).
fof(f4328,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| spl0_12 ),
inference(global_subsumption,[],[f10,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f24,f23,f19,f13,f11,f9,f33,f29,f22,f18,f14,f12,f8,f6,f4,f7,f44,f319,f322,f320,f318,f335,f327,f343,f345,f210,f359,f17,f371,f372,f378,f329,f388,f389,f384,f398,f395,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1409,f1407,f1398,f1503,f1356,f1506,f1223,f1113,f1111,f1104,f1092,f1524,f933,f1538,f922,f1005,f1546,f902,f1552,f1562,f1564,f1565,f1566,f1568,f1569,f1575,f1578,f1580,f1577,f1571,f1563,f1626,f1242,f1951,f1954,f1955,f1956,f1957,f1375,f2138,f2180,f2149,f2202,f2203,f2166,f2167,f2205,f2170,f2171,f1382,f2214,f2226,f2244,f2245,f2248,f2249,f2179,f2554,f2560,f2564,f2566,f2259,f2695,f2700,f2704,f2706,f2233,f2707,f3278,f37,f3296,f3294,f27,f3285,f32,f365,f2881,f377,f3371,f2195,f2188,f2141,f1341,f1335,f1509,f1214,f1530,f1529,f1502,f1501,f1499,f1379,f1505,f1252,f1123,f1046,f1045,f1035,f1034,f1559,f1558,f807,f801,f732,f30,f15,f731,f721,f720,f682,f679,f3862,f2587,f2197,f1044,f3961,f31,f3930,f20,f25,f386,f392,f4159,f26,f841,f889,f893,f934,f1105,f1112,f1234,f1399,f1408,f1394,f1215,f1521,f1094,f4163,f21,f4167,f16,f1520,f1219,f1953,f1319,f923,f927,f1540,f2130,f2132,f3848,f2136,f2145,f2152,f2154,f2201,f3829,f3826,f2215,f2218,f2222,f2223,f2231,f2232,f4170,f2242,f2243,f2247,f2545,f2546,f2576,f4172,f2553,f2582,f2559,f2585,f2586,f3788,f3786,f2691,f2698,f2732,f2702,f2738,f2689,f4176,f3765,f3600,f1033,f1964,f1365,f3844,f3836,f2150,f2143,f1254,f1525,f4177,f779,f4162,f4161,f727,f716]) ).
fof(f4327,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f4326]) ).
fof(f4326,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| spl0_12 ),
inference(global_subsumption,[],[f10,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f24,f23,f19,f13,f11,f9,f33,f29,f22,f18,f14,f12,f8,f6,f4,f7,f44,f319,f322,f320,f318,f335,f327,f343,f345,f210,f359,f17,f371,f372,f378,f329,f388,f389,f384,f398,f395,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1409,f1407,f1398,f1503,f1356,f1506,f1223,f1113,f1111,f1104,f1092,f1524,f933,f1538,f922,f1005,f1546,f902,f1552,f1562,f1564,f1565,f1566,f1568,f1569,f1575,f1578,f1580,f1577,f1571,f1563,f1626,f1242,f1951,f1954,f1955,f1956,f1957,f1375,f2138,f2180,f2149,f2202,f2203,f2166,f2167,f2205,f2170,f2171,f1382,f2214,f2226,f2244,f2245,f2248,f2249,f2179,f2554,f2560,f2564,f2566,f2259,f2695,f2700,f2704,f2706,f2233,f2707,f3278,f37,f3296,f3294,f27,f3285,f32,f365,f2881,f377,f3371,f2195,f2188,f2141,f1341,f1335,f1509,f1214,f1530,f1529,f1502,f1501,f1499,f1379,f1505,f1252,f1123,f1046,f1045,f1035,f1034,f1559,f1558,f807,f801,f732,f30,f15,f731,f721,f720,f682,f679,f3862,f2587,f2197,f1044,f3961,f31,f3930,f20,f25,f386,f392,f4159,f26,f716,f841,f889,f893,f934,f1105,f1112,f1234,f1399,f1408,f1394,f1215,f1521,f1094,f4163,f21,f4167,f16,f1520,f1219,f1953,f1319,f923,f927,f1540,f2130,f2132,f3848,f2136,f2145,f2152,f2154,f2201,f3829,f3826,f2215,f2218,f2222,f2223,f2231,f2232,f4170,f2242,f2243,f2247,f2545,f2546,f2576,f4172,f2553,f2582,f2559,f2585,f2586,f3788,f3786,f2691,f2698,f2732,f2702,f2738,f2689,f4176,f3765,f3600,f1033,f1964,f1365,f3844,f3836,f2150,f2143,f1254,f1525,f4177,f779,f4162,f4161,f727]) ).
fof(f4325,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f4324]) ).
fof(f4324,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| spl0_12 ),
inference(global_subsumption,[],[f10,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f24,f23,f19,f13,f11,f9,f33,f29,f22,f18,f14,f12,f8,f6,f4,f7,f44,f319,f322,f320,f318,f335,f327,f343,f345,f210,f359,f17,f371,f372,f378,f329,f388,f389,f384,f398,f395,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1409,f1407,f1398,f1503,f1356,f1506,f1223,f1113,f1111,f1104,f1092,f1524,f933,f1538,f922,f1005,f1546,f902,f1552,f1562,f1564,f1565,f1566,f1568,f1569,f1575,f1578,f1580,f1577,f1571,f1563,f1626,f1242,f1951,f1954,f1955,f1956,f1957,f1375,f2138,f2180,f2149,f2202,f2203,f2166,f2167,f2205,f2170,f2171,f1382,f2214,f2226,f2244,f2245,f2248,f2249,f2179,f2554,f2560,f2564,f2566,f2259,f2695,f2700,f2704,f2706,f2233,f2707,f3278,f37,f3296,f3294,f27,f3285,f32,f365,f2881,f377,f3371,f2195,f2188,f2141,f1341,f1335,f1509,f1214,f1530,f1529,f1502,f1501,f1499,f1379,f1505,f1252,f1123,f1046,f1045,f1035,f1034,f1559,f1558,f807,f801,f732,f30,f15,f731,f721,f720,f682,f679,f3862,f2587,f2197,f1044,f3961,f31,f3930,f20,f25,f386,f392,f4159,f26,f716,f727,f841,f889,f893,f934,f1105,f1112,f1234,f1399,f1408,f1394,f1215,f1521,f1094,f4163,f21,f4167,f16,f1520,f1219,f1953,f1319,f923,f927,f1540,f2130,f2132,f3848,f2136,f2145,f2152,f2154,f2201,f3829,f3826,f2215,f2218,f2222,f2223,f2231,f2232,f4170,f2242,f2243,f2247,f2545,f2546,f2576,f4172,f2553,f2582,f2559,f2585,f2586,f3788,f3786,f2691,f2698,f2732,f2702,f2738,f2689,f4176,f3765,f3600,f1033,f1964,f1365,f3844,f3836,f2150,f2143,f1254,f1525,f4177,f779,f4162,f4161]) ).
fof(f4323,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f4322]) ).
fof(f4322,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| spl0_12 ),
inference(global_subsumption,[],[f10,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f24,f23,f19,f13,f11,f9,f33,f29,f22,f18,f14,f12,f8,f6,f4,f7,f44,f319,f322,f320,f318,f335,f327,f343,f345,f210,f359,f17,f371,f372,f378,f329,f388,f389,f384,f398,f395,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1409,f1407,f1398,f1503,f1356,f1506,f1223,f1113,f1111,f1104,f1092,f1524,f933,f1538,f922,f1005,f1546,f902,f1552,f1562,f1564,f1565,f1566,f1568,f1569,f1575,f1578,f1580,f1577,f1571,f1563,f1626,f1242,f1951,f1954,f1955,f1956,f1957,f1375,f2138,f2180,f2149,f2202,f2203,f2166,f2167,f2205,f2170,f2171,f1382,f2214,f2226,f2244,f2245,f2248,f2249,f2179,f2554,f2560,f2564,f2566,f2259,f2695,f2700,f2704,f2706,f2233,f2707,f3278,f37,f3296,f3294,f27,f3285,f32,f365,f2881,f377,f3371,f2195,f2188,f2141,f1341,f1335,f1509,f1214,f1530,f1529,f1502,f1501,f1499,f1379,f1505,f1252,f1123,f1046,f1045,f1035,f1034,f1559,f1558,f807,f801,f732,f30,f15,f731,f721,f720,f682,f679,f3862,f2587,f2197,f1044,f3961,f31,f3930,f20,f25,f386,f392,f4159,f26,f716,f4161,f727,f841,f889,f893,f934,f1105,f1112,f1234,f1399,f1408,f1394,f1215,f1521,f1094,f4163,f21,f4167,f16,f1520,f1219,f1953,f1319,f923,f927,f1540,f2130,f2132,f3848,f2136,f2145,f2152,f2154,f2201,f3829,f3826,f2215,f2218,f2222,f2223,f2231,f2232,f4170,f2242,f2243,f2247,f2545,f2546,f2576,f4172,f2553,f2582,f2559,f2585,f2586,f3788,f3786,f2691,f2698,f2732,f2702,f2738,f2689,f4176,f3765,f3600,f1033,f1964,f1365,f3844,f3836,f2150,f2143,f1254,f1525,f4177,f779,f4162]) ).
fof(f4321,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f4320]) ).
fof(f4320,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| spl0_12 ),
inference(global_subsumption,[],[f10,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f24,f23,f19,f13,f11,f9,f33,f29,f22,f18,f14,f12,f8,f6,f4,f7,f44,f319,f322,f320,f318,f335,f327,f343,f345,f210,f359,f17,f371,f372,f378,f329,f388,f389,f384,f398,f395,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1409,f1407,f1398,f1503,f1356,f1506,f1223,f1113,f1111,f1104,f1092,f1524,f933,f1538,f922,f1005,f1546,f902,f1552,f1562,f1564,f1565,f1566,f1568,f1569,f1575,f1578,f1580,f1577,f1571,f1563,f1626,f1242,f1951,f1954,f1955,f1956,f1957,f1375,f2138,f2180,f2149,f2202,f2203,f2166,f2167,f2205,f2170,f2171,f1382,f2214,f2226,f2244,f2245,f2248,f2249,f2179,f2554,f2560,f2564,f2566,f2259,f2695,f2700,f2704,f2706,f2233,f2707,f3278,f37,f3296,f3294,f27,f3285,f32,f365,f2881,f377,f3371,f2195,f2188,f2141,f1341,f1335,f1509,f1214,f1530,f1529,f1502,f1501,f1499,f1379,f1505,f1252,f1123,f1046,f1045,f1035,f1034,f1559,f1558,f807,f801,f732,f30,f15,f731,f721,f720,f682,f679,f3862,f2587,f2197,f1044,f3961,f31,f3930,f20,f25,f386,f392,f4159,f26,f716,f4161,f727,f4162,f841,f889,f893,f934,f1105,f1112,f1234,f1399,f1408,f1394,f1215,f1521,f1094,f4163,f21,f4167,f16,f1520,f1219,f1953,f1319,f923,f927,f1540,f2130,f2132,f3848,f2136,f2145,f2152,f2154,f2201,f3829,f3826,f2215,f2218,f2222,f2223,f2231,f2232,f4170,f2242,f2243,f2247,f2545,f2546,f2576,f4172,f2553,f2582,f2559,f2585,f2586,f3788,f3786,f2691,f2698,f2732,f2702,f2738,f2689,f4176,f3765,f3600,f1033,f1964,f1365,f3844,f3836,f2150,f2143,f1254,f1525,f4177,f779]) ).
fof(f4319,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| spl0_9
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f4318]) ).
fof(f4318,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| spl0_9
| spl0_12 ),
inference(global_subsumption,[],[f2592,f10,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f24,f23,f19,f13,f11,f9,f33,f29,f22,f18,f14,f12,f8,f6,f4,f7,f44,f319,f322,f320,f318,f335,f327,f343,f345,f210,f359,f17,f371,f372,f378,f329,f388,f389,f384,f398,f395,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1409,f1407,f1398,f1503,f1356,f1506,f1223,f1113,f1111,f1104,f1092,f1524,f933,f1538,f922,f1005,f1546,f902,f1552,f1562,f1564,f1565,f1566,f1568,f1569,f1575,f1578,f1580,f1577,f1571,f1563,f1626,f1242,f1951,f1954,f1955,f1956,f1957,f1375,f2138,f2180,f2149,f2202,f2203,f2166,f2167,f2205,f2170,f2171,f1382,f2214,f2226,f2244,f2245,f2248,f2249,f2179,f2554,f2560,f2564,f2566,f2259,f2695,f2700,f2704,f2706,f2233,f2707,f3278,f37,f3296,f3294,f27,f3285,f32,f365,f2881,f377,f3371,f2195,f2188,f2141,f1341,f1335,f1509,f1214,f1530,f1529,f1502,f1501,f1499,f1379,f1505,f1252,f1123,f1046,f1045,f1035,f1034,f1559,f1558,f807,f801,f732,f30,f15,f731,f721,f720,f682,f679,f3862,f2587,f2197,f1044,f3961,f31,f3930,f20,f25,f386,f392,f4159,f26,f716,f4161,f727,f4162,f779,f841,f889,f893,f934,f1105,f1112,f1234,f1399,f1408,f1394,f1215,f1521,f1094,f4163,f21,f4167,f16,f1520,f1219,f1953,f1319,f923,f927,f1540,f2130,f2132,f3848,f2136,f2145,f2152,f2154,f2201,f3829,f3826,f2215,f2218,f2222,f2223,f2231,f2232,f4170,f2242,f2243,f2247,f2545,f2546,f2576,f4172,f2553,f2582,f2559,f2585,f2586,f3788,f3786,f2691,f2698,f2732,f2702,f2738,f2689,f4176,f3765,f3600,f1033,f1964,f1365,f3844,f3836,f2150,f2143,f1254,f1525,f4177]) ).
fof(f2592,plain,
( sk_c8 != multiply(sk_c7,sk_c7)
| spl0_9 ),
inference(avatar_component_clause,[],[f2591]) ).
fof(f2591,plain,
( spl0_9
<=> sk_c8 = multiply(sk_c7,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f4317,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f4316]) ).
fof(f4316,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| spl0_12 ),
inference(global_subsumption,[],[f10,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f24,f23,f19,f13,f11,f9,f33,f29,f22,f18,f14,f12,f8,f6,f4,f7,f44,f319,f322,f320,f318,f335,f327,f343,f345,f210,f359,f17,f371,f372,f378,f329,f388,f389,f384,f398,f395,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1409,f1407,f1398,f1503,f1356,f1506,f1223,f1113,f1111,f1104,f1092,f1524,f933,f1538,f922,f1005,f1546,f902,f1552,f1562,f1564,f1565,f1566,f1568,f1569,f1575,f1578,f1580,f1577,f1571,f1563,f1626,f1242,f1951,f1954,f1955,f1956,f1957,f1375,f2138,f2180,f2149,f2202,f2203,f2166,f2167,f2205,f2170,f2171,f1382,f2214,f2226,f2244,f2245,f2248,f2249,f2179,f2554,f2560,f2564,f2566,f2259,f2695,f2700,f2704,f2706,f2233,f2707,f3278,f37,f3296,f3294,f27,f3285,f32,f365,f2881,f377,f3371,f2195,f2188,f2141,f1341,f1335,f1509,f1214,f1530,f1529,f1502,f1501,f1499,f1379,f1505,f1252,f1123,f1046,f1045,f1035,f1034,f1559,f1558,f807,f801,f732,f30,f15,f731,f721,f720,f682,f679,f3862,f2587,f2197,f1044,f3961,f31,f3930,f20,f25,f386,f392,f4159,f26,f716,f4161,f727,f4162,f779,f841,f889,f893,f934,f1105,f1112,f1234,f1399,f1408,f1394,f1215,f1521,f1094,f4163,f21,f4167,f16,f1520,f1219,f1953,f1319,f923,f927,f1540,f2130,f2132,f3848,f2136,f2145,f2152,f2154,f2201,f3829,f3826,f2215,f2218,f2222,f2223,f2231,f2232,f4170,f2242,f2243,f2247,f2545,f2546,f2576,f4172,f2553,f2582,f2559,f2585,f2586,f3788,f3786,f2691,f2698,f2732,f2702,f2738,f2689,f4176,f3765,f3600,f1033,f1964,f1365,f3844,f3836,f2150,f2143,f1254,f1525,f4177]) ).
fof(f4315,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f4314]) ).
fof(f4314,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| spl0_12 ),
inference(global_subsumption,[],[f10,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f24,f23,f19,f13,f11,f9,f33,f29,f22,f18,f14,f12,f8,f6,f4,f7,f44,f319,f322,f320,f318,f335,f327,f343,f345,f210,f359,f17,f371,f372,f378,f329,f388,f389,f384,f398,f395,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1409,f1407,f1398,f1503,f1356,f1506,f1223,f1113,f1111,f1104,f1092,f1524,f933,f1538,f922,f1005,f1546,f902,f1552,f1562,f1564,f1565,f1566,f1568,f1569,f1575,f1578,f1580,f1577,f1571,f1563,f1626,f1242,f1951,f1954,f1955,f1956,f1957,f1375,f2138,f2180,f2149,f2202,f2203,f2166,f2167,f2205,f2170,f2171,f1382,f2214,f2226,f2244,f2245,f2248,f2249,f2179,f2554,f2560,f2564,f2566,f2259,f2695,f2700,f2704,f2706,f2233,f2707,f3278,f37,f3296,f3294,f27,f3285,f32,f365,f2881,f377,f3371,f2195,f2188,f2141,f1341,f1335,f1509,f1214,f1530,f1529,f1502,f1501,f1499,f1379,f1505,f1252,f1123,f1046,f1045,f1035,f1034,f1559,f1558,f807,f801,f732,f30,f15,f731,f721,f720,f682,f679,f3862,f2587,f2197,f1044,f3961,f31,f3930,f20,f25,f386,f392,f4159,f26,f716,f4161,f727,f4162,f779,f841,f889,f893,f934,f1105,f1112,f1234,f1399,f1408,f1394,f1215,f1521,f1094,f4163,f21,f4167,f16,f1520,f1219,f1953,f1319,f923,f927,f1540,f2130,f2132,f3848,f2136,f2145,f2152,f2154,f2201,f3829,f3826,f2215,f2218,f2222,f2223,f2231,f2232,f4170,f2242,f2243,f2247,f2545,f2546,f2576,f4172,f2553,f2582,f2559,f2585,f2586,f3788,f3786,f2691,f2698,f2732,f2702,f2738,f2689,f4176,f4177,f3765,f3600,f1033,f1964,f1365,f3844,f3836,f2150,f2143,f1254,f1525]) ).
fof(f4313,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f4312]) ).
fof(f4312,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| spl0_12 ),
inference(global_subsumption,[],[f10,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f24,f23,f19,f13,f11,f9,f33,f29,f22,f18,f14,f12,f8,f6,f4,f7,f44,f319,f322,f320,f318,f335,f327,f343,f345,f210,f359,f17,f371,f372,f378,f329,f388,f389,f384,f398,f395,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1409,f1407,f1398,f1503,f1356,f1506,f1223,f1113,f1111,f1104,f1092,f1524,f933,f1538,f922,f1005,f1546,f902,f1552,f1562,f1564,f1565,f1566,f1568,f1569,f1575,f1578,f1580,f1577,f1571,f1563,f1626,f1242,f1951,f1954,f1955,f1956,f1957,f1375,f2138,f2180,f2149,f2202,f2203,f2166,f2167,f2205,f2170,f2171,f1382,f2214,f2226,f2244,f2245,f2248,f2249,f2179,f2554,f2560,f2564,f2566,f2259,f2695,f2700,f2704,f2706,f2233,f2707,f3278,f37,f3296,f3294,f27,f3285,f32,f365,f2881,f377,f3371,f2195,f2188,f2141,f1341,f1335,f1509,f1214,f1530,f1529,f1502,f1501,f1499,f1379,f1505,f1252,f1123,f1046,f1045,f1035,f1034,f1559,f1558,f807,f801,f732,f30,f15,f731,f721,f720,f682,f679,f3862,f2587,f2197,f1044,f3961,f31,f3930,f20,f25,f386,f392,f4159,f26,f716,f4161,f727,f4162,f779,f841,f889,f893,f934,f1105,f1112,f1234,f1399,f1408,f1394,f1215,f1521,f1094,f1525,f4163,f21,f4167,f16,f1520,f1219,f1953,f1319,f923,f927,f1540,f2130,f2132,f3848,f2136,f2145,f2152,f2154,f2201,f3829,f3826,f2215,f2218,f2222,f2223,f2231,f2232,f4170,f2242,f2243,f2247,f2545,f2546,f2576,f4172,f2553,f2582,f2559,f2585,f2586,f3788,f3786,f2691,f2698,f2732,f2702,f2738,f2689,f4176,f4177,f3765,f3600,f1033,f1964,f1365,f3844,f3836,f2150,f2143,f1254]) ).
fof(f4311,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f4310]) ).
fof(f4310,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| spl0_12 ),
inference(global_subsumption,[],[f10,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f24,f23,f19,f13,f11,f9,f33,f29,f22,f18,f14,f12,f8,f6,f4,f7,f44,f319,f322,f320,f318,f335,f327,f343,f345,f210,f359,f17,f371,f372,f378,f329,f388,f389,f384,f398,f395,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1409,f1407,f1398,f1503,f1356,f1506,f1223,f1113,f1111,f1104,f1092,f1524,f933,f1538,f922,f1005,f1546,f902,f1552,f1562,f1564,f1565,f1566,f1568,f1569,f1575,f1578,f1580,f1577,f1571,f1563,f1626,f1242,f1951,f1954,f1955,f1956,f1957,f1375,f2138,f2180,f2149,f2202,f2203,f2166,f2167,f2205,f2170,f2171,f1382,f2214,f2226,f2244,f2245,f2248,f2249,f2179,f2554,f2560,f2564,f2566,f2259,f2695,f2700,f2704,f2706,f2233,f2707,f3278,f37,f3296,f3294,f27,f3285,f32,f365,f2881,f377,f3371,f2195,f2188,f2141,f1341,f1335,f1509,f1214,f1530,f1529,f1502,f1501,f1499,f1379,f1505,f1252,f1123,f1046,f1045,f1035,f1034,f1559,f1558,f807,f801,f732,f30,f15,f731,f721,f720,f682,f679,f3862,f2587,f2197,f1044,f3961,f31,f3930,f20,f25,f386,f392,f4159,f26,f716,f4161,f727,f4162,f779,f841,f889,f893,f934,f1105,f1112,f1254,f1234,f1399,f1408,f1394,f1215,f1521,f1094,f1525,f4163,f21,f4167,f16,f1520,f1219,f1953,f1319,f923,f927,f1540,f2130,f2132,f3848,f2136,f2145,f2152,f2154,f2201,f3829,f3826,f2215,f2218,f2222,f2223,f2231,f2232,f4170,f2242,f2243,f2247,f2545,f2546,f2576,f4172,f2553,f2582,f2559,f2585,f2586,f3788,f3786,f2691,f2698,f2732,f2702,f2738,f2689,f4176,f4177,f3765,f3600,f1033,f1964,f1365,f3844,f3836,f2150,f2143]) ).
fof(f4309,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f4308]) ).
fof(f4308,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| spl0_12 ),
inference(global_subsumption,[],[f10,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f24,f23,f19,f13,f11,f9,f33,f29,f22,f18,f14,f12,f8,f6,f4,f7,f44,f319,f322,f320,f318,f335,f327,f343,f345,f210,f359,f17,f371,f372,f378,f329,f388,f389,f384,f398,f395,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1409,f1407,f1398,f1503,f1356,f1506,f1223,f1113,f1111,f1104,f1092,f1524,f933,f1538,f922,f1005,f1546,f902,f1552,f1562,f1564,f1565,f1566,f1568,f1569,f1575,f1578,f1580,f1577,f1571,f1563,f1626,f1242,f1951,f1954,f1955,f1956,f1957,f1375,f2138,f2180,f2149,f2202,f2203,f2166,f2167,f2205,f2170,f2171,f1382,f2214,f2226,f2244,f2245,f2248,f2249,f2179,f2554,f2560,f2564,f2566,f2259,f2695,f2700,f2704,f2706,f2233,f2707,f3278,f37,f3296,f3294,f27,f3285,f32,f365,f2881,f377,f3371,f2195,f2188,f2141,f1341,f1335,f1509,f1214,f1530,f1529,f1502,f1501,f1499,f1379,f1505,f1252,f1123,f1046,f1045,f1035,f1034,f1559,f1558,f807,f801,f732,f30,f15,f731,f721,f720,f682,f679,f3862,f2587,f2197,f1044,f3961,f31,f3930,f20,f25,f386,f392,f4159,f26,f716,f4161,f727,f4162,f779,f841,f889,f893,f934,f1105,f1112,f1254,f1234,f1399,f1408,f1394,f1215,f1521,f1094,f1525,f4163,f21,f4167,f16,f1520,f1219,f1953,f1319,f923,f927,f1540,f2130,f2132,f3848,f2136,f2143,f2145,f2152,f2154,f2201,f3829,f3826,f2215,f2218,f2222,f2223,f2231,f2232,f4170,f2242,f2243,f2247,f2545,f2546,f2576,f4172,f2553,f2582,f2559,f2585,f2586,f3788,f3786,f2691,f2698,f2732,f2702,f2738,f2689,f4176,f4177,f3765,f3600,f1033,f1964,f1365,f3844,f3836,f2150]) ).
fof(f4307,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_8
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f4306]) ).
fof(f4306,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_8
| spl0_12 ),
inference(global_subsumption,[],[f4156,f10,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f24,f23,f19,f13,f11,f9,f33,f29,f22,f18,f14,f12,f8,f6,f4,f7,f44,f319,f322,f320,f318,f335,f327,f343,f345,f210,f359,f17,f371,f372,f378,f329,f388,f389,f384,f398,f395,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1409,f1407,f1398,f1503,f1356,f1506,f1223,f1113,f1111,f1104,f1092,f1524,f933,f1538,f922,f1005,f1546,f902,f1552,f1562,f1564,f1565,f1566,f1568,f1569,f1575,f1578,f1580,f1577,f1571,f1563,f1626,f1242,f1951,f1954,f1955,f1956,f1957,f1375,f2138,f2180,f2149,f2202,f2203,f2166,f2167,f2205,f2170,f2171,f1382,f2214,f2226,f2244,f2245,f2248,f2249,f2179,f2554,f2560,f2564,f2566,f2259,f2695,f2700,f2704,f2706,f2233,f2707,f3278,f37,f3296,f3294,f27,f3285,f32,f365,f2881,f377,f3371,f2195,f2188,f2141,f1341,f1335,f1509,f1214,f1530,f1529,f1502,f1501,f1499,f1379,f1505,f1252,f1123,f1046,f1045,f1035,f1034,f1559,f1558,f807,f801,f732,f30,f15,f731,f721,f720,f682,f679,f3862,f2587,f2197,f1044,f3961,f31,f3930,f20,f25,f386,f392,f4159,f26,f716,f4161,f727,f4162,f779,f841,f889,f893,f934,f1105,f1112,f1254,f1234,f1399,f1408,f1394,f1215,f1521,f1094,f1525,f4163,f21,f4167,f16,f1520,f1219,f1953,f1319,f923,f927,f1540,f2130,f2132,f3848,f2136,f2143,f2145,f2150,f2152,f2154,f2201,f3829,f3826,f2215,f2218,f2222,f2223,f2231,f2232,f4170,f2242,f2243,f2247,f2545,f2546,f2576,f4172,f2553,f2582,f2559,f2585,f2586,f3788,f3786,f2691,f2698,f2732,f2702,f2738,f2689,f4176,f4177,f3765,f3600,f1033,f1964,f1365,f3844,f3836]) ).
fof(f4156,plain,
( sk_c8 = multiply(sk_c7,identity)
| spl0_2
| ~ spl0_8 ),
inference(global_subsumption,[],[f20,f10,f25,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f210,f359,f17,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1407,f1398,f1111,f1104,f1092,f1524,f933,f922,f1005,f1546,f902,f1626,f3278,f37,f3296,f3294,f27,f3285,f32,f1341,f1335,f1509,f1214,f1530,f1529,f1502,f1501,f1499,f1379,f1505,f1252,f1123,f1046,f1045,f1035,f1034,f1559,f1558,f807,f801,f732,f30,f15,f731,f721,f720,f682,f679,f47,f31,f3930]) ).
fof(f47,plain,
( sk_c8 != inverse(sk_c4)
| spl0_2 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f46,plain,
( spl0_2
<=> sk_c8 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f4305,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f4304]) ).
fof(f4304,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| spl0_12 ),
inference(global_subsumption,[],[f10,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f24,f23,f19,f13,f11,f9,f33,f29,f22,f18,f14,f12,f8,f6,f4,f7,f44,f319,f322,f320,f318,f335,f327,f343,f345,f210,f359,f17,f371,f372,f378,f329,f388,f389,f384,f398,f395,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1409,f1407,f1398,f1503,f1356,f1506,f1223,f1113,f1111,f1104,f1092,f1524,f933,f1538,f922,f1005,f1546,f902,f1552,f1562,f1564,f1565,f1566,f1568,f1569,f1575,f1578,f1580,f1577,f1571,f1563,f1626,f1242,f1951,f1954,f1955,f1956,f1957,f1375,f2138,f2180,f2149,f2202,f2203,f2166,f2167,f2205,f2170,f2171,f1382,f2214,f2226,f2244,f2245,f2248,f2249,f2179,f2554,f2560,f2564,f2566,f2259,f2695,f2700,f2704,f2706,f2233,f2707,f3278,f37,f3296,f3294,f27,f3285,f32,f365,f2881,f377,f3371,f2195,f2188,f2141,f1341,f1335,f1509,f1214,f1530,f1529,f1502,f1501,f1499,f1379,f1505,f1252,f1123,f1046,f1045,f1035,f1034,f1559,f1558,f807,f801,f732,f30,f15,f731,f721,f720,f682,f679,f3862,f2587,f2197,f1044,f3961,f31,f3930,f20,f25,f386,f392,f4159,f26,f716,f4161,f727,f4162,f779,f841,f889,f893,f934,f1105,f1112,f1254,f1234,f1399,f1408,f1394,f1215,f1521,f1094,f1525,f4163,f21,f4167,f16,f1520,f1219,f1953,f1319,f923,f927,f1540,f2130,f2132,f3848,f2136,f2143,f2145,f2150,f2152,f2154,f2201,f3829,f3826,f2215,f2218,f2222,f2223,f2231,f2232,f4170,f2242,f2243,f2247,f2545,f2546,f2576,f4172,f2553,f2582,f2559,f2585,f2586,f3788,f3786,f2691,f2698,f2732,f2702,f2738,f2689,f4176,f4177,f3765,f3600,f1033,f1964,f1365,f3844,f3836]) ).
fof(f4303,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f4302]) ).
fof(f4302,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| spl0_12 ),
inference(global_subsumption,[],[f10,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f24,f23,f19,f13,f11,f9,f33,f29,f22,f18,f14,f12,f8,f6,f4,f7,f44,f319,f322,f320,f318,f335,f327,f343,f345,f210,f359,f17,f371,f372,f378,f329,f388,f389,f384,f398,f395,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1409,f1407,f1398,f1503,f1356,f1506,f1223,f1113,f1111,f1104,f1092,f1524,f933,f1538,f922,f1005,f1546,f902,f1552,f1562,f1564,f1565,f1566,f1568,f1569,f1575,f1578,f1580,f1577,f1571,f1563,f1626,f1242,f1951,f1954,f1955,f1956,f1957,f1375,f2138,f2180,f2149,f2202,f2203,f2166,f2167,f2205,f2170,f2171,f1382,f2214,f2226,f2244,f2245,f2248,f2249,f2179,f2554,f2560,f2564,f2566,f2259,f2695,f2700,f2704,f2706,f2233,f2707,f3278,f37,f3296,f3294,f27,f3285,f32,f365,f2881,f377,f3371,f2195,f2188,f2141,f1341,f1335,f1509,f1214,f1530,f1529,f1502,f1501,f1499,f1379,f1505,f1252,f1123,f1046,f1045,f1035,f1034,f1559,f1558,f807,f801,f732,f30,f15,f731,f721,f720,f682,f679,f3862,f2587,f2197,f1044,f3961,f31,f3930,f20,f25,f386,f392,f4159,f26,f716,f4161,f727,f4162,f779,f841,f889,f893,f934,f1105,f1112,f1254,f1234,f1399,f1408,f1394,f1215,f1521,f1094,f1525,f4163,f21,f4167,f16,f1520,f1219,f1953,f1319,f923,f927,f1540,f2130,f2132,f3848,f2136,f2143,f2145,f2150,f2152,f3836,f2154,f2201,f3829,f3826,f2215,f2218,f2222,f2223,f2231,f2232,f4170,f2242,f2243,f2247,f2545,f2546,f2576,f4172,f2553,f2582,f2559,f2585,f2586,f3788,f3786,f2691,f2698,f2732,f2702,f2738,f2689,f4176,f4177,f3765,f3600,f1033,f1964,f1365,f3844]) ).
fof(f4301,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f4300]) ).
fof(f4300,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| spl0_12 ),
inference(global_subsumption,[],[f10,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f24,f23,f19,f13,f11,f9,f33,f29,f22,f18,f14,f12,f8,f6,f4,f7,f44,f319,f322,f320,f318,f335,f327,f343,f345,f210,f359,f17,f371,f372,f378,f329,f388,f389,f384,f398,f395,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1409,f1407,f1398,f1503,f1356,f1506,f1223,f1113,f1111,f1104,f1092,f1524,f933,f1538,f922,f1005,f1546,f902,f1552,f1562,f1564,f1565,f1566,f1568,f1569,f1575,f1578,f1580,f1577,f1571,f1563,f1626,f1242,f1951,f1954,f1955,f1956,f1957,f1375,f2138,f2180,f2149,f2202,f2203,f2166,f2167,f2205,f2170,f2171,f1382,f2214,f2226,f2244,f2245,f2248,f2249,f2179,f2554,f2560,f2564,f2566,f2259,f2695,f2700,f2704,f2706,f2233,f2707,f3278,f37,f3296,f3294,f27,f3285,f32,f365,f2881,f377,f3371,f2195,f2188,f2141,f1341,f1335,f1509,f1214,f1530,f1529,f1502,f1501,f1499,f1379,f1505,f1252,f1123,f1046,f1045,f1035,f1034,f1559,f1558,f807,f801,f732,f30,f15,f731,f721,f720,f682,f679,f3862,f2587,f2197,f1044,f3961,f31,f3930,f20,f25,f386,f392,f4159,f26,f716,f4161,f727,f4162,f779,f841,f889,f893,f934,f1105,f1112,f1254,f1234,f1399,f1408,f1394,f1215,f1521,f1094,f1525,f4163,f21,f4167,f16,f1520,f1219,f1953,f1319,f923,f927,f1540,f2130,f2132,f3848,f2136,f2143,f3844,f2145,f2150,f2152,f3836,f2154,f2201,f3829,f3826,f2215,f2218,f2222,f2223,f2231,f2232,f4170,f2242,f2243,f2247,f2545,f2546,f2576,f4172,f2553,f2582,f2559,f2585,f2586,f3788,f3786,f2691,f2698,f2732,f2702,f2738,f2689,f4176,f4177,f3765,f3600,f1033,f1964,f1365]) ).
fof(f4299,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f4298]) ).
fof(f4298,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| spl0_12 ),
inference(global_subsumption,[],[f10,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f24,f23,f19,f13,f11,f9,f33,f29,f22,f18,f14,f12,f8,f6,f4,f7,f44,f319,f322,f320,f318,f335,f327,f343,f345,f210,f359,f17,f371,f372,f378,f329,f388,f389,f384,f398,f395,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1409,f1407,f1398,f1503,f1356,f1506,f1223,f1113,f1111,f1104,f1092,f1524,f933,f1538,f922,f1005,f1546,f902,f1552,f1562,f1564,f1565,f1566,f1568,f1569,f1575,f1578,f1580,f1577,f1571,f1563,f1626,f1242,f1951,f1954,f1955,f1956,f1957,f1375,f2138,f2180,f2149,f2202,f2203,f2166,f2167,f2205,f2170,f2171,f1382,f2214,f2226,f2244,f2245,f2248,f2249,f2179,f2554,f2560,f2564,f2566,f2259,f2695,f2700,f2704,f2706,f2233,f2707,f3278,f37,f3296,f3294,f27,f3285,f32,f365,f2881,f377,f3371,f2195,f2188,f2141,f1341,f1335,f1509,f1214,f1530,f1529,f1502,f1501,f1499,f1379,f1505,f1252,f1123,f1046,f1045,f1035,f1034,f1559,f1558,f807,f801,f732,f30,f15,f731,f721,f720,f682,f679,f3862,f2587,f2197,f1044,f3961,f31,f3930,f20,f25,f386,f392,f4159,f26,f716,f4161,f727,f4162,f779,f841,f889,f893,f934,f1105,f1112,f1254,f1234,f1365,f1399,f1408,f1394,f1215,f1521,f1094,f1525,f4163,f21,f4167,f16,f1520,f1219,f1953,f1319,f923,f927,f1540,f2130,f2132,f3848,f2136,f2143,f3844,f2145,f2150,f2152,f3836,f2154,f2201,f3829,f3826,f2215,f2218,f2222,f2223,f2231,f2232,f4170,f2242,f2243,f2247,f2545,f2546,f2576,f4172,f2553,f2582,f2559,f2585,f2586,f3788,f3786,f2691,f2698,f2732,f2702,f2738,f2689,f4176,f4177,f3765,f3600,f1033,f1964]) ).
fof(f4297,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f4296]) ).
fof(f4296,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| spl0_12 ),
inference(global_subsumption,[],[f2017,f10,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f24,f23,f19,f13,f11,f9,f33,f29,f22,f18,f14,f12,f8,f6,f4,f7,f44,f319,f322,f320,f318,f335,f327,f343,f345,f210,f359,f17,f371,f372,f378,f329,f388,f389,f384,f398,f395,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1409,f1407,f1398,f1503,f1356,f1506,f1223,f1113,f1111,f1104,f1092,f1524,f933,f1538,f922,f1005,f1546,f902,f1552,f1562,f1564,f1565,f1566,f1568,f1569,f1575,f1578,f1580,f1577,f1571,f1563,f1626,f1242,f1951,f1954,f1955,f1956,f1957,f1375,f2138,f2180,f2149,f2202,f2203,f2166,f2167,f2205,f2170,f2171,f1382,f2214,f2226,f2244,f2245,f2248,f2249,f2179,f2554,f2560,f2564,f2566,f2259,f2695,f2700,f2704,f2706,f2233,f2707,f3278,f37,f3296,f3294,f27,f3285,f32,f365,f2881,f377,f3371,f2195,f2188,f2141,f1341,f1335,f1509,f1214,f1530,f1529,f1502,f1501,f1499,f1379,f1505,f1252,f1123,f1046,f1045,f1035,f1034,f1559,f1558,f807,f801,f732,f30,f15,f731,f721,f720,f682,f679,f3862,f2587,f2197,f1044,f3961,f31,f3930,f20,f25,f386,f392,f4159,f26,f716,f4161,f727,f4162,f779,f841,f889,f893,f934,f1105,f1112,f1254,f1234,f1365,f1399,f1408,f1394,f1215,f1521,f1094,f1525,f4163,f21,f4167,f16,f1520,f1219,f1964,f1953,f1319,f923,f927,f1540,f2130,f2132,f3848,f2136,f2143,f3844,f2145,f2150,f2152,f3836,f2154,f2201,f3829,f3826,f2215,f2218,f2222,f2223,f2231,f2232,f4170,f2242,f2243,f2247,f2545,f2546,f2576,f4172,f2553,f2582,f2559,f2585,f2586,f3788,f3786,f2691,f2698,f2732,f2702,f2738,f2689,f4176,f4177,f3765,f3600,f1033]) ).
fof(f2017,plain,
( sk_c8 = inverse(sk_c7)
| ~ spl0_1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2001,f1637]) ).
fof(f1637,plain,
( ! [X0] : multiply(multiply(X0,sk_c2),sk_c3) = X0
| ~ spl0_7 ),
inference(superposition,[],[f1157,f1622]) ).
fof(f1622,plain,
( sk_c3 = inverse(sk_c2)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f1620]) ).
fof(f1620,plain,
( spl0_7
<=> sk_c3 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f2001,plain,
( inverse(sk_c7) = multiply(multiply(sk_c8,sk_c2),sk_c3)
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f1637,f329]) ).
fof(f4295,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f4294]) ).
fof(f4294,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| spl0_12 ),
inference(global_subsumption,[],[f2043,f10,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f24,f23,f19,f13,f11,f9,f33,f29,f22,f18,f14,f12,f8,f6,f4,f7,f44,f319,f322,f320,f318,f335,f327,f343,f345,f210,f359,f17,f371,f372,f378,f329,f388,f389,f384,f398,f395,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1409,f1407,f1398,f1503,f1356,f1506,f1223,f1113,f1111,f1104,f1092,f1524,f933,f1538,f922,f1005,f1546,f902,f1552,f1562,f1564,f1565,f1566,f1568,f1569,f1575,f1578,f1580,f1577,f1571,f1563,f1626,f1242,f1951,f1954,f1955,f1956,f1957,f1375,f2138,f2180,f2149,f2202,f2203,f2166,f2167,f2205,f2170,f2171,f1382,f2214,f2226,f2244,f2245,f2248,f2249,f2179,f2554,f2560,f2564,f2566,f2259,f2695,f2700,f2704,f2706,f2233,f2707,f3278,f37,f3296,f3294,f27,f3285,f32,f365,f2881,f377,f3371,f2195,f2188,f2141,f1341,f1335,f1509,f1214,f1530,f1529,f1502,f1501,f1499,f1379,f1505,f1252,f1123,f1046,f1045,f1035,f1034,f1559,f1558,f807,f801,f732,f30,f15,f731,f721,f720,f682,f679,f3862,f2587,f2197,f1044,f3961,f31,f3930,f20,f25,f386,f392,f4159,f26,f716,f4161,f727,f4162,f779,f841,f889,f893,f934,f1105,f1112,f1254,f1234,f1365,f1399,f1408,f1394,f1215,f1521,f1094,f1525,f4163,f21,f4167,f16,f1520,f1219,f1964,f1953,f1319,f923,f927,f1540,f2130,f2132,f3848,f2136,f2143,f3844,f2145,f2150,f2152,f3836,f2154,f2201,f3829,f3826,f2215,f2218,f2222,f2223,f2231,f2232,f4170,f2242,f2243,f2247,f2545,f2546,f2576,f4172,f2553,f2582,f2559,f2585,f2586,f3788,f3786,f2691,f2698,f2732,f2702,f2738,f2689,f4176,f4177,f3765,f3600,f1033]) ).
fof(f2043,plain,
( sk_c8 = inverse(sk_c7)
| ~ spl0_1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2027,f1649]) ).
fof(f1649,plain,
( ! [X0] : multiply(multiply(X0,sk_c3),sk_c2) = X0
| ~ spl0_7 ),
inference(superposition,[],[f1157,f1635]) ).
fof(f1635,plain,
( sk_c2 = inverse(sk_c3)
| ~ spl0_7 ),
inference(superposition,[],[f718,f1622]) ).
fof(f2027,plain,
( inverse(sk_c7) = multiply(multiply(sk_c8,sk_c3),sk_c2)
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f1649,f329]) ).
fof(f4293,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f4292]) ).
fof(f4292,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| spl0_12 ),
inference(global_subsumption,[],[f2513,f10,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f24,f23,f19,f13,f11,f9,f33,f29,f22,f18,f14,f12,f8,f6,f4,f7,f44,f319,f322,f320,f318,f335,f327,f343,f345,f210,f359,f17,f371,f372,f378,f329,f388,f389,f384,f398,f395,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1409,f1407,f1398,f1503,f1356,f1506,f1223,f1113,f1111,f1104,f1092,f1524,f933,f1538,f922,f1005,f1546,f902,f1552,f1562,f1564,f1565,f1566,f1568,f1569,f1575,f1578,f1580,f1577,f1571,f1563,f1626,f1242,f1951,f1954,f1955,f1956,f1957,f1375,f2138,f2180,f2149,f2202,f2203,f2166,f2167,f2205,f2170,f2171,f1382,f2214,f2226,f2244,f2245,f2248,f2249,f2179,f2554,f2560,f2564,f2566,f2259,f2695,f2700,f2704,f2706,f2233,f2707,f3278,f37,f3296,f3294,f27,f3285,f32,f365,f2881,f377,f3371,f2195,f2188,f2141,f1341,f1335,f1509,f1214,f1530,f1529,f1502,f1501,f1499,f1379,f1505,f1252,f1123,f1046,f1045,f1035,f1034,f1559,f1558,f807,f801,f732,f30,f15,f731,f721,f720,f682,f679,f3862,f2587,f2197,f1044,f3961,f31,f3930,f20,f25,f386,f392,f4159,f26,f716,f4161,f727,f4162,f779,f841,f889,f893,f934,f1105,f1112,f1254,f1234,f1365,f1399,f1408,f1394,f1215,f1521,f1094,f1525,f4163,f21,f4167,f16,f1520,f1219,f1964,f1953,f1319,f923,f927,f1540,f2130,f2132,f3848,f2136,f2143,f3844,f2145,f2150,f2152,f3836,f2154,f2201,f3829,f3826,f2215,f2218,f2222,f2223,f2231,f2232,f4170,f2242,f2243,f2247,f2545,f2546,f2576,f4172,f2553,f2582,f2559,f2585,f2586,f3788,f3786,f2691,f2698,f2732,f2702,f2738,f2689,f4176,f4177,f3765,f3600,f1033]) ).
fof(f2513,plain,
( sk_c8 = inverse(sk_c7)
| ~ spl0_1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2500,f1634]) ).
fof(f1634,plain,
( ! [X0] : multiply(sk_c2,multiply(sk_c3,X0)) = X0
| ~ spl0_7 ),
inference(superposition,[],[f701,f1622]) ).
fof(f2500,plain,
( inverse(sk_c7) = multiply(sk_c2,multiply(sk_c3,sk_c8))
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f1065,f2160]) ).
fof(f2160,plain,
( multiply(sk_c3,sk_c8) = inverse(multiply(sk_c7,sk_c2))
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f1629,f1375]) ).
fof(f1629,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c2,X0)) = X0
| ~ spl0_7 ),
inference(superposition,[],[f64,f1622]) ).
fof(f4291,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f4290]) ).
fof(f4290,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| spl0_12 ),
inference(global_subsumption,[],[f2535,f10,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f24,f23,f19,f13,f11,f9,f33,f29,f22,f18,f14,f12,f8,f6,f4,f7,f44,f319,f322,f320,f318,f335,f327,f343,f345,f210,f359,f17,f371,f372,f378,f329,f388,f389,f384,f398,f395,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1409,f1407,f1398,f1503,f1356,f1506,f1223,f1113,f1111,f1104,f1092,f1524,f933,f1538,f922,f1005,f1546,f902,f1552,f1562,f1564,f1565,f1566,f1568,f1569,f1575,f1578,f1580,f1577,f1571,f1563,f1626,f1242,f1951,f1954,f1955,f1956,f1957,f1375,f2138,f2180,f2149,f2202,f2203,f2166,f2167,f2205,f2170,f2171,f1382,f2214,f2226,f2244,f2245,f2248,f2249,f2179,f2554,f2560,f2564,f2566,f2259,f2695,f2700,f2704,f2706,f2233,f2707,f3278,f37,f3296,f3294,f27,f3285,f32,f365,f2881,f377,f3371,f2195,f2188,f2141,f1341,f1335,f1509,f1214,f1530,f1529,f1502,f1501,f1499,f1379,f1505,f1252,f1123,f1046,f1045,f1035,f1034,f1559,f1558,f807,f801,f732,f30,f15,f731,f721,f720,f682,f679,f3862,f2587,f2197,f1044,f3961,f31,f3930,f20,f25,f386,f392,f4159,f26,f716,f4161,f727,f4162,f779,f841,f889,f893,f934,f1105,f1112,f1254,f1234,f1365,f1399,f1408,f1394,f1215,f1521,f1094,f1525,f4163,f21,f4167,f16,f1520,f1219,f1964,f1953,f1319,f923,f927,f1540,f2130,f2132,f3848,f2136,f2143,f3844,f2145,f2150,f2152,f3836,f2154,f2201,f3829,f3826,f2215,f2218,f2222,f2223,f2231,f2232,f4170,f2242,f2243,f2247,f2545,f2546,f2576,f4172,f2553,f2582,f2559,f2585,f2586,f3788,f3786,f2691,f2698,f2732,f2702,f2738,f2689,f4176,f4177,f3765,f3600,f1033]) ).
fof(f2535,plain,
( sk_c8 = inverse(sk_c7)
| ~ spl0_1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2522,f1629]) ).
fof(f2522,plain,
( inverse(sk_c7) = multiply(sk_c3,multiply(sk_c2,sk_c8))
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f1065,f2162]) ).
fof(f2162,plain,
( inverse(multiply(sk_c7,sk_c3)) = multiply(sk_c2,sk_c8)
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f1634,f1375]) ).
fof(f4289,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_8
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f4288]) ).
fof(f4288,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_8
| spl0_12 ),
inference(global_subsumption,[],[f4157,f10,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f24,f23,f19,f13,f11,f9,f33,f29,f22,f18,f14,f12,f8,f6,f4,f7,f44,f319,f322,f320,f318,f335,f327,f343,f345,f210,f359,f17,f371,f372,f378,f329,f388,f389,f384,f398,f395,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1409,f1407,f1398,f1503,f1356,f1506,f1223,f1113,f1111,f1104,f1092,f1524,f933,f1538,f922,f1005,f1546,f902,f1552,f1562,f1564,f1565,f1566,f1568,f1569,f1575,f1578,f1580,f1577,f1571,f1563,f1626,f1242,f1951,f1954,f1955,f1956,f1957,f1375,f2138,f2180,f2149,f2202,f2203,f2166,f2167,f2205,f2170,f2171,f1382,f2214,f2226,f2244,f2245,f2248,f2249,f2179,f2554,f2560,f2564,f2566,f2259,f2695,f2700,f2704,f2706,f2233,f2707,f3278,f37,f3296,f3294,f27,f3285,f32,f365,f2881,f377,f3371,f2195,f2188,f2141,f1341,f1335,f1509,f1214,f1530,f1529,f1502,f1501,f1499,f1379,f1505,f1252,f1123,f1046,f1045,f1035,f1034,f1559,f1558,f807,f801,f732,f30,f15,f731,f721,f720,f682,f679,f3862,f2587,f2197,f1044,f3961,f31,f3930,f20,f25,f386,f392,f4159,f26,f716,f4161,f727,f4162,f779,f841,f889,f893,f934,f1105,f1112,f1254,f1234,f1365,f1399,f1408,f1394,f1215,f1521,f1094,f1525,f4163,f21,f4167,f16,f1520,f1219,f1964,f1953,f1319,f923,f927,f1540,f2130,f2132,f3848,f2136,f2143,f3844,f2145,f2150,f2152,f3836,f2154,f2201,f3829,f3826,f2215,f2218,f2222,f2223,f2231,f2232,f4170,f2242,f2243,f2247,f2545,f2546,f2576,f4172,f2553,f2582,f2559,f2585,f2586,f3788,f3786,f2691,f2698,f2732,f2702,f2738,f2689,f4176,f4177,f3765,f3600,f1033]) ).
fof(f4157,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| spl0_2 ),
inference(global_subsumption,[],[f10,f25,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f210,f359,f17,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1407,f1398,f1111,f1104,f1092,f1524,f933,f922,f1005,f1546,f902,f37,f27,f32,f1341,f1335,f1509,f1214,f1530,f1529,f1502,f1501,f1499,f1379,f1505,f1252,f1123,f1046,f1045,f1035,f1034,f1559,f1558,f807,f801,f732,f30,f15,f731,f721,f720,f682,f679,f47,f31,f20]) ).
fof(f4287,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_4
| spl0_9
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f4286]) ).
fof(f4286,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_4
| spl0_9
| ~ spl0_12 ),
inference(global_subsumption,[],[f10,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f24,f23,f19,f13,f11,f9,f33,f29,f22,f18,f14,f12,f8,f6,f4,f7,f44,f319,f322,f320,f318,f335,f327,f343,f345,f210,f359,f17,f329,f388,f389,f384,f398,f395,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1409,f1407,f1398,f1223,f1113,f1111,f1104,f1092,f1524,f933,f922,f1005,f1546,f902,f1552,f1565,f1568,f1580,f1581,f1582,f1595,f1596,f1586,f1587,f1589,f1590,f1591,f1577,f1571,f1563,f1242,f1951,f1954,f1955,f1956,f1957,f1375,f2138,f2180,f2149,f2202,f2203,f2166,f2167,f2205,f2170,f2171,f1382,f2214,f2226,f2244,f2245,f2248,f2249,f2179,f2554,f2560,f2564,f2566,f2259,f2695,f2700,f2704,f2706,f2884,f2885,f2913,f2894,f2897,f2898,f2904,f2233,f2707,f37,f27,f32,f2195,f2188,f2141,f1341,f1335,f1509,f1214,f1530,f1529,f1502,f1501,f1499,f1379,f1505,f1252,f1123,f1046,f1045,f1035,f1034,f1559,f1558,f807,f801,f732,f30,f15,f731,f721,f720,f682,f679,f3862,f2587,f2197,f1044,f4006,f369,f1597,f4009,f2291,f31,f20,f4157,f25,f4158,f386,f392,f4159,f26,f4160,f716,f4161,f727,f4162,f779,f841,f889,f893,f934,f1105,f1112,f1254,f1234,f1365,f1399,f1408,f1394,f1215,f1521,f1094,f1525,f21,f4165,f16,f4169,f1520,f1219,f1964,f1953,f1319,f923,f927,f1540,f2130,f2132,f3848,f2136,f2143,f3844,f2145,f2150,f2152,f3836,f2154,f2201,f3829,f3826,f2215,f2218,f2222,f2223,f2231,f2232,f4170,f2242,f2243,f2247,f2545,f2546,f2576,f4172,f2553,f2582,f2559,f2585,f2586,f3788,f3786,f2691,f2698,f2732,f2702,f2738,f2689,f2592,f2882,f4182,f4183,f4195,f4187,f4189,f4190,f4191,f4198,f4197,f47,f4213,f4214,f4200,f4218,f4219,f4232,f4223,f4224,f4226,f4227,f4228,f1033,f4269,f4285]) ).
fof(f4285,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_12 ),
inference(forward_demodulation,[],[f4284,f4197]) ).
fof(f4284,plain,
( sk_c8 = multiply(sk_c1,sk_c8)
| spl0_2
| ~ spl0_12 ),
inference(forward_demodulation,[],[f4157,f2882]) ).
fof(f4269,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2592,f2882]) ).
fof(f4228,plain,
( ! [X0] : multiply(multiply(X0,sk_c8),sk_c8) = X0
| ~ spl0_1
| ~ spl0_4
| ~ spl0_12 ),
inference(superposition,[],[f1240,f4200]) ).
fof(f4227,plain,
( ! [X0] : multiply(multiply(X0,sk_c8),sk_c8) = X0
| ~ spl0_1
| ~ spl0_4
| ~ spl0_12 ),
inference(superposition,[],[f1157,f4200]) ).
fof(f4226,plain,
( ! [X0] : sk_c8 = multiply(X0,inverse(multiply(sk_c8,X0)))
| ~ spl0_1
| ~ spl0_4
| ~ spl0_12 ),
inference(superposition,[],[f1069,f4200]) ).
fof(f4224,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c8,X0)) = X0
| ~ spl0_1
| ~ spl0_4
| ~ spl0_12 ),
inference(superposition,[],[f701,f4200]) ).
fof(f4223,plain,
( identity = multiply(sk_c8,sk_c8)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_12 ),
inference(superposition,[],[f698,f4200]) ).
fof(f4232,plain,
( identity = multiply(sk_c8,sk_c8)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_12 ),
inference(forward_demodulation,[],[f4222,f718]) ).
fof(f4222,plain,
( identity = multiply(inverse(inverse(sk_c8)),sk_c8)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_12 ),
inference(superposition,[],[f628,f4200]) ).
fof(f4219,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c8,X0)) = X0
| ~ spl0_1
| ~ spl0_4
| ~ spl0_12 ),
inference(superposition,[],[f64,f4200]) ).
fof(f4218,plain,
( identity = multiply(sk_c8,sk_c8)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_12 ),
inference(superposition,[],[f2,f4200]) ).
fof(f4200,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_12 ),
inference(forward_demodulation,[],[f369,f4197]) ).
fof(f4214,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_12 ),
inference(forward_demodulation,[],[f4169,f4197]) ).
fof(f4213,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_12 ),
inference(forward_demodulation,[],[f4006,f4197]) ).
fof(f4197,plain,
( sk_c8 = sk_c1
| ~ spl0_1
| ~ spl0_4
| ~ spl0_12 ),
inference(forward_demodulation,[],[f1597,f2882]) ).
fof(f4198,plain,
( sk_c8 = sk_c1
| ~ spl0_1
| ~ spl0_4
| ~ spl0_12 ),
inference(forward_demodulation,[],[f4009,f2882]) ).
fof(f4191,plain,
( ! [X0] : sk_c8 = multiply(inverse(multiply(X0,sk_c8)),X0)
| ~ spl0_1
| ~ spl0_12 ),
inference(superposition,[],[f2179,f2882]) ).
fof(f4190,plain,
( ! [X0] : sk_c8 = multiply(X0,inverse(multiply(sk_c8,X0)))
| ~ spl0_1
| ~ spl0_12 ),
inference(superposition,[],[f1375,f2882]) ).
fof(f4189,plain,
( ! [X0] : multiply(multiply(X0,sk_c8),sk_c8) = X0
| ~ spl0_1
| ~ spl0_12 ),
inference(superposition,[],[f1242,f2882]) ).
fof(f4187,plain,
( identity = multiply(sk_c8,sk_c8)
| ~ spl0_1
| ~ spl0_12 ),
inference(superposition,[],[f384,f2882]) ).
fof(f4195,plain,
( identity = multiply(sk_c8,sk_c8)
| ~ spl0_1
| ~ spl0_12 ),
inference(forward_demodulation,[],[f4185,f718]) ).
fof(f4185,plain,
( identity = multiply(inverse(inverse(sk_c8)),sk_c8)
| ~ spl0_1
| ~ spl0_12 ),
inference(superposition,[],[f327,f2882]) ).
fof(f4183,plain,
( identity = multiply(sk_c8,sk_c8)
| ~ spl0_1
| ~ spl0_12 ),
inference(superposition,[],[f319,f2882]) ).
fof(f4182,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c8,X0)) = X0
| ~ spl0_1
| ~ spl0_12 ),
inference(superposition,[],[f318,f2882]) ).
fof(f2882,plain,
( sk_c8 = sk_c7
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f2880]) ).
fof(f4165,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| spl0_2 ),
inference(global_subsumption,[],[f10,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f24,f23,f19,f13,f11,f9,f33,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f210,f359,f17,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1407,f1398,f1111,f1104,f1092,f1524,f933,f922,f1005,f1546,f902,f37,f27,f32,f1341,f1335,f1509,f1214,f1530,f1529,f1502,f1501,f1499,f1379,f1505,f1252,f1123,f1046,f1045,f1035,f1034,f1559,f1558,f807,f801,f732,f30,f15,f731,f721,f720,f682,f679,f47,f31,f20,f4157,f25,f4158,f26,f4160,f21]) ).
fof(f4160,plain,
( sk_c7 = multiply(sk_c2,sk_c3)
| spl0_2 ),
inference(global_subsumption,[],[f10,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f24,f23,f21,f19,f13,f11,f9,f33,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f210,f359,f17,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1407,f1398,f1111,f1104,f1092,f1524,f933,f922,f1005,f1546,f902,f37,f27,f32,f1341,f1335,f1509,f1214,f1530,f1529,f1502,f1501,f1499,f1379,f1505,f1252,f1123,f1046,f1045,f1035,f1034,f1559,f1558,f807,f801,f732,f30,f15,f731,f721,f720,f682,f679,f47,f31,f20,f4157,f25,f4158,f26]) ).
fof(f4158,plain,
( sk_c7 = multiply(sk_c2,sk_c3)
| spl0_2 ),
inference(global_subsumption,[],[f10,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f210,f359,f17,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1407,f1398,f1111,f1104,f1092,f1524,f933,f922,f1005,f1546,f902,f37,f27,f32,f1341,f1335,f1509,f1214,f1530,f1529,f1502,f1501,f1499,f1379,f1505,f1252,f1123,f1046,f1045,f1035,f1034,f1559,f1558,f807,f801,f732,f30,f15,f731,f721,f720,f682,f679,f47,f31,f20,f4157,f25]) ).
fof(f2904,plain,
( ! [X0] : sk_c8 = multiply(inverse(multiply(X0,sk_c8)),X0)
| ~ spl0_1
| ~ spl0_12 ),
inference(superposition,[],[f2179,f2882]) ).
fof(f2898,plain,
( ! [X0] : sk_c8 = multiply(X0,inverse(multiply(sk_c8,X0)))
| ~ spl0_1
| ~ spl0_12 ),
inference(superposition,[],[f1375,f2882]) ).
fof(f2897,plain,
( ! [X0] : multiply(multiply(X0,sk_c8),sk_c8) = X0
| ~ spl0_1
| ~ spl0_12 ),
inference(superposition,[],[f1242,f2882]) ).
fof(f2894,plain,
( identity = multiply(sk_c8,sk_c8)
| ~ spl0_1
| ~ spl0_12 ),
inference(superposition,[],[f384,f2882]) ).
fof(f2913,plain,
( identity = multiply(sk_c8,sk_c8)
| ~ spl0_1
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2889,f718]) ).
fof(f2889,plain,
( identity = multiply(inverse(inverse(sk_c8)),sk_c8)
| ~ spl0_1
| ~ spl0_12 ),
inference(superposition,[],[f327,f2882]) ).
fof(f2885,plain,
( identity = multiply(sk_c8,sk_c8)
| ~ spl0_1
| ~ spl0_12 ),
inference(superposition,[],[f319,f2882]) ).
fof(f2884,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c8,X0)) = X0
| ~ spl0_1
| ~ spl0_12 ),
inference(superposition,[],[f318,f2882]) ).
fof(f1595,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c1,X0)
| ~ spl0_1
| ~ spl0_4 ),
inference(forward_demodulation,[],[f1584,f44]) ).
fof(f1584,plain,
( ! [X0] : multiply(inverse(sk_c8),X0) = multiply(sk_c1,X0)
| ~ spl0_4 ),
inference(superposition,[],[f221,f369]) ).
fof(f4152,plain,
( spl0_5
| spl0_6
| spl0_5
| spl0_5
| ~ spl0_1
| ~ spl0_8
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f4145,f2880,f2595,f1624,f42,f1491,f1491,f1494,f1491]) ).
fof(f1494,plain,
( spl0_6
<=> ! [X4] : identity != multiply(inverse(X4),identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f1491,plain,
( spl0_5
<=> ! [X6] :
( identity != multiply(X6,identity)
| identity != inverse(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f2595,plain,
( spl0_10
<=> identity = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f4145,plain,
( ! [X3,X6,X7,X4] :
( identity != inverse(X6)
| identity != inverse(X3)
| identity != multiply(X6,identity)
| identity != multiply(X3,identity)
| identity != multiply(inverse(X4),identity)
| identity != multiply(X7,identity)
| identity != inverse(X7) )
| ~ spl0_1
| ~ spl0_8
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f4144,f3503]) ).
fof(f3503,plain,
( identity = sk_c8
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2882,f2597]) ).
fof(f2597,plain,
( identity = sk_c7
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f2595]) ).
fof(f4144,plain,
( ! [X3,X6,X7,X4] :
( identity != inverse(X3)
| identity != multiply(X6,identity)
| identity != multiply(X3,identity)
| identity != multiply(inverse(X4),identity)
| identity != multiply(X7,identity)
| identity != inverse(X7)
| sk_c8 != inverse(X6) )
| ~ spl0_1
| ~ spl0_8
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f4143,f3503]) ).
fof(f4143,plain,
( ! [X3,X6,X7,X4] :
( identity != multiply(X6,identity)
| identity != multiply(X3,identity)
| identity != multiply(inverse(X4),identity)
| identity != multiply(X7,identity)
| identity != inverse(X7)
| sk_c8 != inverse(X3)
| sk_c8 != inverse(X6) )
| ~ spl0_1
| ~ spl0_8
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f4142,f3503]) ).
fof(f4142,plain,
( ! [X3,X6,X7,X4] :
( identity != multiply(X3,identity)
| identity != multiply(inverse(X4),identity)
| identity != multiply(X7,identity)
| sk_c8 != multiply(X6,identity)
| identity != inverse(X7)
| sk_c8 != inverse(X3)
| sk_c8 != inverse(X6) )
| ~ spl0_1
| ~ spl0_8
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f4141,f3503]) ).
fof(f4141,plain,
( ! [X3,X6,X7,X4] :
( identity != multiply(inverse(X4),identity)
| identity != multiply(X7,identity)
| sk_c8 != multiply(X3,identity)
| sk_c8 != multiply(X6,identity)
| identity != inverse(X7)
| sk_c8 != inverse(X3)
| sk_c8 != inverse(X6) )
| ~ spl0_1
| ~ spl0_8
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3886,f3503]) ).
fof(f3886,plain,
( ! [X3,X6,X7,X4] :
( identity != multiply(inverse(X4),sk_c8)
| identity != multiply(X7,identity)
| sk_c8 != multiply(X3,identity)
| sk_c8 != multiply(X6,identity)
| identity != inverse(X7)
| sk_c8 != inverse(X3)
| sk_c8 != inverse(X6) )
| ~ spl0_1
| ~ spl0_8
| ~ spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f30,f15,f20,f10,f25,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f44,f319,f322,f320,f318,f335,f327,f343,f345,f210,f359,f17,f329,f388,f389,f384,f398,f395,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1409,f1407,f1398,f1319,f1223,f1219,f1113,f1111,f1104,f1520,f1092,f1524,f933,f927,f1540,f923,f922,f1005,f1546,f902,f1552,f1565,f1568,f1580,f1577,f1571,f1563,f1626,f1242,f1951,f1954,f1955,f1956,f1957,f1375,f2138,f2180,f2149,f2202,f2203,f2166,f2167,f2205,f2170,f2171,f1382,f2214,f2226,f2244,f2245,f2248,f2249,f2179,f2554,f2560,f2564,f2566,f2259,f2695,f2700,f2704,f2706,f2884,f2885,f2913,f2894,f2897,f2898,f2904,f3000,f2990,f2977,f2987,f3007,f3006,f2978,f3223,f3233,f2233,f2707,f3278,f37,f3296,f3294,f27,f3285,f32,f2882,f2597,f3470,f3482,f3479,f3492,f3491,f3471,f3502,f3024,f3497,f3013,f3487,f3001,f2976,f3503,f3764,f3780,f3781,f3782,f3783,f3784,f3785,f2587,f3790,f3792,f3794,f3795,f3796,f3801,f3802,f3807,f3808,f3809,f3810,f3811,f3812,f3817,f3818,f3819,f3821,f3822,f3825,f3832,f2197,f2195,f3835,f3837,f3839,f3840,f2188,f3843,f3845,f3846,f2141,f3847,f3849,f3851,f3853,f3854,f3856,f3857,f1341,f1335,f1509,f1214,f1530,f1529,f1502,f1501,f1499,f1379,f3859,f3860,f3861,f3862,f1505,f1252,f1123,f1046,f1045,f1035,f1034,f1559,f1558,f807,f801,f732,f731,f721,f720,f682,f679,f1044,f1033,f3865,f3872,f3876,f3885]) ).
fof(f3885,plain,
( ! [X3,X6,X7,X4] :
( identity != multiply(inverse(X4),sk_c8)
| identity != multiply(X7,identity)
| sk_c8 != multiply(X3,identity)
| sk_c8 != multiply(X6,identity)
| identity != sk_c8
| identity != inverse(X7)
| sk_c8 != inverse(X3)
| sk_c8 != inverse(X6) )
| ~ spl0_1
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3884,f2597]) ).
fof(f3884,plain,
( ! [X3,X6,X7,X4] :
( identity != multiply(X7,identity)
| sk_c8 != multiply(X3,identity)
| sk_c8 != multiply(X6,identity)
| identity != sk_c8
| identity != inverse(X7)
| sk_c8 != inverse(X3)
| sk_c8 != inverse(X6)
| sk_c7 != multiply(inverse(X4),sk_c8) )
| ~ spl0_1
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3883,f2597]) ).
fof(f3883,plain,
( ! [X3,X6,X7,X4] :
( sk_c8 != multiply(X3,identity)
| sk_c8 != multiply(X6,identity)
| identity != sk_c8
| identity != inverse(X7)
| sk_c8 != inverse(X3)
| sk_c8 != inverse(X6)
| sk_c7 != multiply(X7,identity)
| sk_c7 != multiply(inverse(X4),sk_c8) )
| ~ spl0_1
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3882,f2597]) ).
fof(f3882,plain,
( ! [X3,X6,X7,X4] :
( sk_c8 != multiply(X6,identity)
| identity != sk_c8
| identity != inverse(X7)
| sk_c8 != inverse(X3)
| sk_c8 != inverse(X6)
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != multiply(X7,identity)
| sk_c7 != multiply(inverse(X4),sk_c8) )
| ~ spl0_1
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3881,f2597]) ).
fof(f3881,plain,
( ! [X3,X6,X7,X4] :
( identity != sk_c8
| identity != inverse(X7)
| sk_c8 != inverse(X3)
| sk_c8 != inverse(X6)
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != multiply(X7,identity)
| sk_c7 != multiply(inverse(X4),sk_c8) )
| ~ spl0_1
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3880,f2597]) ).
fof(f3880,plain,
( ! [X3,X6,X7,X4] :
( sk_c8 != sk_c7
| identity != inverse(X7)
| sk_c8 != inverse(X3)
| sk_c8 != inverse(X6)
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != multiply(X7,identity)
| sk_c7 != multiply(inverse(X4),sk_c8) )
| ~ spl0_1
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3879,f395]) ).
fof(f3879,plain,
( ! [X3,X6,X7,X4] :
( identity != inverse(X7)
| sk_c8 != inverse(X3)
| sk_c8 != inverse(X6)
| sk_c8 != multiply(sk_c7,identity)
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != multiply(X7,identity)
| sk_c7 != multiply(inverse(X4),sk_c8) )
| ~ spl0_1
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3878,f2597]) ).
fof(f3878,plain,
( ! [X3,X6,X7,X4] :
( sk_c8 != inverse(X3)
| sk_c8 != inverse(X6)
| sk_c7 != inverse(X7)
| sk_c8 != multiply(sk_c7,identity)
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != multiply(X7,identity)
| sk_c7 != multiply(inverse(X4),sk_c8) )
| ~ spl0_1
| ~ spl0_8
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f3877,f2597]) ).
fof(f3876,plain,
( sk_c8 = sk_c4
| sk_c8 = multiply(sk_c1,identity)
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3875,f700]) ).
fof(f3875,plain,
( sk_c8 = multiply(sk_c4,identity)
| sk_c8 = multiply(sk_c1,identity)
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3874,f2597]) ).
fof(f3874,plain,
( sk_c8 = multiply(sk_c1,identity)
| sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl0_10 ),
inference(forward_demodulation,[],[f21,f2597]) ).
fof(f3872,plain,
( identity = sk_c8
| sk_c8 = multiply(sk_c4,identity)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3871,f2597]) ).
fof(f3871,plain,
( sk_c8 = sk_c7
| sk_c8 = multiply(sk_c4,identity)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3870,f395]) ).
fof(f3870,plain,
( sk_c8 = multiply(sk_c7,identity)
| sk_c8 = multiply(sk_c4,identity)
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3869,f1626]) ).
fof(f3869,plain,
( sk_c8 = multiply(sk_c4,identity)
| sk_c8 = multiply(sk_c7,sk_c6)
| ~ spl0_10 ),
inference(forward_demodulation,[],[f11,f2597]) ).
fof(f3865,plain,
( sk_c8 = multiply(sk_c4,identity)
| sk_c8 = inverse(sk_c1)
| ~ spl0_10 ),
inference(forward_demodulation,[],[f16,f2597]) ).
fof(f3861,plain,
( sk_c8 = inverse(identity)
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1964,f2597]) ).
fof(f3860,plain,
( ! [X0] : multiply(X0,inverse(identity)) = multiply(X0,sk_c8)
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1953,f2597]) ).
fof(f3859,plain,
( ! [X0] : multiply(X0,sk_c8) = X0
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3858,f700]) ).
fof(f3858,plain,
( ! [X0] : multiply(multiply(X0,identity),sk_c8) = X0
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1319,f2597]) ).
fof(f3857,plain,
( identity = multiply(identity,multiply(sk_c8,inverse(identity)))
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f923,f2597]) ).
fof(f3856,plain,
( identity = multiply(sk_c8,inverse(identity))
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3855,f1]) ).
fof(f3855,plain,
( identity = multiply(sk_c8,multiply(identity,inverse(identity)))
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f927,f2597]) ).
fof(f3854,plain,
( identity = multiply(identity,multiply(sk_c8,inverse(identity)))
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1540,f2597]) ).
fof(f3853,plain,
( identity = sk_c8
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3852,f698]) ).
fof(f3852,plain,
( sk_c8 = multiply(identity,inverse(identity))
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2130,f2597]) ).
fof(f3851,plain,
( identity = sk_c8
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3850,f698]) ).
fof(f3850,plain,
( sk_c8 = multiply(identity,inverse(identity))
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2132,f2597]) ).
fof(f3849,plain,
( sk_c8 = multiply(inverse(identity),inverse(identity))
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3848,f2597]) ).
fof(f3847,plain,
( sk_c8 = multiply(inverse(identity),inverse(identity))
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2136,f2597]) ).
fof(f3846,plain,
( sk_c8 = inverse(identity)
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2143,f2597]) ).
fof(f3845,plain,
( sk_c8 = inverse(identity)
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3844,f2597]) ).
fof(f3843,plain,
( identity = sk_c8
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3842,f718]) ).
fof(f3842,plain,
( sk_c8 = inverse(inverse(identity))
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3841,f1]) ).
fof(f3841,plain,
( sk_c8 = inverse(multiply(identity,inverse(identity)))
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2145,f2597]) ).
fof(f3840,plain,
( sk_c8 = inverse(identity)
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2150,f2597]) ).
fof(f3839,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3838,f1]) ).
fof(f3838,plain,
( ! [X0] : multiply(sk_c8,multiply(identity,X0)) = X0
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2152,f2597]) ).
fof(f3837,plain,
( sk_c8 = inverse(identity)
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3836,f2597]) ).
fof(f3835,plain,
( identity = sk_c8
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3834,f718]) ).
fof(f3834,plain,
( sk_c8 = inverse(inverse(identity))
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3833,f1]) ).
fof(f3833,plain,
( sk_c8 = inverse(multiply(identity,inverse(identity)))
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2154,f2597]) ).
fof(f3832,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3831,f1]) ).
fof(f3831,plain,
( ! [X0] : multiply(sk_c8,multiply(identity,X0)) = X0
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2201,f2597]) ).
fof(f3825,plain,
( identity = multiply(inverse(multiply(sk_c8,sk_c8)),inverse(identity))
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2215,f2597]) ).
fof(f3822,plain,
( identity = inverse(multiply(sk_c8,inverse(identity)))
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2222,f2597]) ).
fof(f3821,plain,
( identity = multiply(sk_c8,inverse(multiply(sk_c8,inverse(identity))))
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2223,f2597]) ).
fof(f3819,plain,
( identity = inverse(multiply(sk_c8,inverse(identity)))
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2231,f2597]) ).
fof(f3818,plain,
( identity = multiply(sk_c8,inverse(multiply(sk_c8,inverse(identity))))
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2232,f2597]) ).
fof(f3817,plain,
( identity = sk_c8
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3816,f698]) ).
fof(f3816,plain,
( sk_c8 = multiply(identity,inverse(identity))
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3815,f2597]) ).
fof(f3815,plain,
( sk_c8 = multiply(sk_c7,inverse(identity))
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3814,f44]) ).
fof(f3814,plain,
( sk_c8 = multiply(inverse(sk_c8),inverse(identity))
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3813,f700]) ).
fof(f3813,plain,
( sk_c8 = multiply(inverse(multiply(sk_c8,identity)),inverse(identity))
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2234,f2597]) ).
fof(f3812,plain,
( ! [X0] : inverse(X0) = multiply(inverse(multiply(sk_c8,X0)),inverse(identity))
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2242,f2597]) ).
fof(f3811,plain,
( ! [X0] : identity = multiply(X0,multiply(inverse(multiply(sk_c8,X0)),inverse(identity)))
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2243,f2597]) ).
fof(f3810,plain,
( ! [X0] : multiply(inverse(multiply(sk_c8,inverse(X0))),inverse(identity)) = X0
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2247,f2597]) ).
fof(f3809,plain,
( sk_c8 = multiply(inverse(identity),inverse(identity))
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2545,f2597]) ).
fof(f3808,plain,
( sk_c8 = multiply(inverse(identity),inverse(identity))
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2546,f2597]) ).
fof(f3807,plain,
( identity = sk_c8
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3806,f698]) ).
fof(f3806,plain,
( sk_c8 = multiply(identity,inverse(identity))
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3805,f2597]) ).
fof(f3805,plain,
( sk_c8 = multiply(sk_c7,inverse(identity))
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3804,f44]) ).
fof(f3804,plain,
( sk_c8 = multiply(inverse(sk_c8),inverse(identity))
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3803,f1]) ).
fof(f3803,plain,
( sk_c8 = multiply(inverse(sk_c8),inverse(multiply(identity,identity)))
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2548,f2597]) ).
fof(f2548,plain,
( sk_c8 = multiply(inverse(sk_c8),inverse(multiply(sk_c7,sk_c7)))
| ~ spl0_1 ),
inference(superposition,[],[f2179,f2179]) ).
fof(f3802,plain,
( sk_c8 = multiply(inverse(identity),inverse(identity))
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2576,f2597]) ).
fof(f3801,plain,
( identity = sk_c8
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3800,f698]) ).
fof(f3800,plain,
( sk_c8 = multiply(identity,inverse(identity))
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3799,f2597]) ).
fof(f3799,plain,
( sk_c8 = multiply(sk_c7,inverse(identity))
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3798,f44]) ).
fof(f3798,plain,
( sk_c8 = multiply(inverse(sk_c8),inverse(identity))
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3797,f700]) ).
fof(f3797,plain,
( sk_c8 = multiply(inverse(multiply(sk_c8,identity)),inverse(identity))
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2550,f2597]) ).
fof(f3796,plain,
( ! [X0] : sk_c8 = multiply(inverse(X0),multiply(X0,inverse(identity)))
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2553,f2597]) ).
fof(f3795,plain,
( sk_c8 = inverse(identity)
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2582,f2597]) ).
fof(f3794,plain,
( ! [X0] : multiply(X0,sk_c8) = X0
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3793,f700]) ).
fof(f3793,plain,
( ! [X0] : multiply(multiply(X0,identity),sk_c8) = X0
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2559,f2597]) ).
fof(f3792,plain,
( ! [X0] : multiply(X0,sk_c8) = X0
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3791,f700]) ).
fof(f3791,plain,
( ! [X0] : multiply(multiply(X0,identity),sk_c8) = X0
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2585,f2597]) ).
fof(f3790,plain,
( sk_c8 = inverse(identity)
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2586,f2597]) ).
fof(f3785,plain,
( identity = multiply(inverse(multiply(sk_c8,sk_c8)),inverse(identity))
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2691,f2597]) ).
fof(f3784,plain,
( ! [X0] : multiply(X0,inverse(identity)) = multiply(X0,sk_c8)
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2698,f2597]) ).
fof(f3783,plain,
( ! [X0] : multiply(X0,inverse(identity)) = multiply(X0,sk_c8)
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2732,f2597]) ).
fof(f3782,plain,
( ! [X0] : identity = multiply(inverse(multiply(X0,sk_c8)),multiply(X0,inverse(identity)))
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2702,f2597]) ).
fof(f3781,plain,
( sk_c8 = multiply(inverse(identity),inverse(identity))
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2738,f2597]) ).
fof(f3780,plain,
( identity = multiply(inverse(identity),inverse(multiply(sk_c8,sk_c8)))
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2689,f2597]) ).
fof(f3764,plain,
( identity = inverse(identity)
| ~ spl0_1
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3030,f2597]) ).
fof(f3030,plain,
( sk_c7 = inverse(identity)
| ~ spl0_1
| ~ spl0_10
| ~ spl0_12 ),
inference(superposition,[],[f44,f2976]) ).
fof(f2976,plain,
( identity = sk_c8
| ~ spl0_10
| ~ spl0_12 ),
inference(superposition,[],[f2597,f2882]) ).
fof(f3001,plain,
( identity = sk_c8
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2979,f2]) ).
fof(f2979,plain,
( sk_c8 = multiply(inverse(identity),identity)
| ~ spl0_1
| ~ spl0_10 ),
inference(superposition,[],[f320,f2597]) ).
fof(f3487,plain,
( identity = sk_c8
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3472,f2]) ).
fof(f3472,plain,
( sk_c8 = multiply(inverse(identity),identity)
| ~ spl0_1
| ~ spl0_10 ),
inference(superposition,[],[f320,f2597]) ).
fof(f3013,plain,
( identity = sk_c8
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3012,f698]) ).
fof(f3012,plain,
( ! [X0] : sk_c8 = multiply(X0,inverse(X0))
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2991,f1]) ).
fof(f2991,plain,
( ! [X0] : sk_c8 = multiply(X0,inverse(multiply(identity,X0)))
| ~ spl0_1
| ~ spl0_10 ),
inference(superposition,[],[f1375,f2597]) ).
fof(f3497,plain,
( identity = sk_c8
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3496,f698]) ).
fof(f3496,plain,
( ! [X0] : sk_c8 = multiply(X0,inverse(X0))
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3483,f1]) ).
fof(f3483,plain,
( ! [X0] : sk_c8 = multiply(X0,inverse(multiply(identity,X0)))
| ~ spl0_1
| ~ spl0_10 ),
inference(superposition,[],[f1375,f2597]) ).
fof(f3024,plain,
( identity = sk_c8
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3023,f2]) ).
fof(f3023,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c8
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2997,f700]) ).
fof(f2997,plain,
( ! [X0] : sk_c8 = multiply(inverse(multiply(X0,identity)),X0)
| ~ spl0_1
| ~ spl0_10 ),
inference(superposition,[],[f2179,f2597]) ).
fof(f3502,plain,
( identity = sk_c8
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3501,f2]) ).
fof(f3501,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c8
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3486,f700]) ).
fof(f3486,plain,
( ! [X0] : sk_c8 = multiply(inverse(multiply(X0,identity)),X0)
| ~ spl0_1
| ~ spl0_10 ),
inference(superposition,[],[f2179,f2597]) ).
fof(f3471,plain,
( identity = multiply(identity,sk_c8)
| ~ spl0_1
| ~ spl0_10 ),
inference(superposition,[],[f319,f2597]) ).
fof(f3491,plain,
( identity = multiply(identity,sk_c8)
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3475,f718]) ).
fof(f3475,plain,
( identity = multiply(inverse(inverse(identity)),sk_c8)
| ~ spl0_1
| ~ spl0_10 ),
inference(superposition,[],[f327,f2597]) ).
fof(f3492,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3476,f210]) ).
fof(f3476,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(identity),X0)
| ~ spl0_1
| ~ spl0_10 ),
inference(superposition,[],[f329,f2597]) ).
fof(f3479,plain,
( identity = multiply(sk_c8,identity)
| ~ spl0_1
| ~ spl0_10 ),
inference(superposition,[],[f384,f2597]) ).
fof(f3482,plain,
( ! [X0] : multiply(multiply(X0,sk_c8),identity) = X0
| ~ spl0_1
| ~ spl0_10 ),
inference(superposition,[],[f1242,f2597]) ).
fof(f3470,plain,
( ! [X0] : multiply(identity,multiply(sk_c8,X0)) = X0
| ~ spl0_1
| ~ spl0_10 ),
inference(superposition,[],[f318,f2597]) ).
fof(f3233,plain,
( identity = inverse(multiply(sk_c8,sk_c8))
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3232,f1]) ).
fof(f3232,plain,
( multiply(identity,identity) = inverse(multiply(sk_c8,sk_c8))
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2233,f2597]) ).
fof(f3223,plain,
( identity = inverse(multiply(sk_c8,sk_c8))
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3222,f1]) ).
fof(f3222,plain,
( multiply(identity,identity) = inverse(multiply(sk_c8,sk_c8))
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2707,f2597]) ).
fof(f2978,plain,
( identity = multiply(identity,sk_c8)
| ~ spl0_1
| ~ spl0_10 ),
inference(superposition,[],[f319,f2597]) ).
fof(f3006,plain,
( identity = multiply(identity,sk_c8)
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2982,f718]) ).
fof(f2982,plain,
( identity = multiply(inverse(inverse(identity)),sk_c8)
| ~ spl0_1
| ~ spl0_10 ),
inference(superposition,[],[f327,f2597]) ).
fof(f3007,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2983,f210]) ).
fof(f2983,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(identity),X0)
| ~ spl0_1
| ~ spl0_10 ),
inference(superposition,[],[f329,f2597]) ).
fof(f2987,plain,
( identity = multiply(sk_c8,identity)
| ~ spl0_1
| ~ spl0_10 ),
inference(superposition,[],[f384,f2597]) ).
fof(f2977,plain,
( ! [X0] : multiply(identity,multiply(sk_c8,X0)) = X0
| ~ spl0_1
| ~ spl0_10 ),
inference(superposition,[],[f318,f2597]) ).
fof(f2990,plain,
( ! [X0] : multiply(multiply(X0,sk_c8),identity) = X0
| ~ spl0_1
| ~ spl0_10 ),
inference(superposition,[],[f1242,f2597]) ).
fof(f3000,plain,
( identity = sk_c8
| ~ spl0_10
| ~ spl0_12 ),
inference(superposition,[],[f2882,f2597]) ).
fof(f3998,plain,
( spl0_2
| spl0_4
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f3997]) ).
fof(f3997,plain,
( $false
| spl0_2
| spl0_4
| ~ spl0_7 ),
inference(global_subsumption,[],[f1622,f20,f10,f25,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f210,f359,f17,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1407,f1398,f1111,f1104,f1092,f1524,f933,f922,f1005,f1546,f902,f37,f27,f32,f368,f1341,f1335,f1509,f1214,f1530,f1529,f1502,f1501,f1499,f1379,f1505,f1252,f1123,f1046,f1045,f1035,f1034,f1559,f1558,f807,f801,f732,f731,f721,f720,f682,f679,f47,f15,f30]) ).
fof(f368,plain,
( sk_c8 != inverse(sk_c1)
| spl0_4 ),
inference(avatar_component_clause,[],[f367]) ).
fof(f3996,plain,
( spl0_2
| spl0_4
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f3995]) ).
fof(f3995,plain,
( $false
| spl0_2
| spl0_4
| ~ spl0_7 ),
inference(global_subsumption,[],[f2365,f20,f10,f25,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f210,f359,f17,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1407,f1398,f1111,f1104,f1092,f1524,f933,f922,f1005,f1546,f902,f37,f27,f32,f368,f1341,f1335,f1509,f1214,f1530,f1529,f1502,f1501,f1499,f1379,f1505,f1252,f1123,f1046,f1045,f1035,f1034,f1559,f1558,f807,f801,f732,f731,f721,f720,f682,f679,f47,f15,f30]) ).
fof(f2365,plain,
( identity = inverse(identity)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2325,f1633]) ).
fof(f1633,plain,
( identity = multiply(sk_c2,sk_c3)
| ~ spl0_7 ),
inference(superposition,[],[f698,f1622]) ).
fof(f2325,plain,
( multiply(sk_c2,sk_c3) = inverse(multiply(sk_c2,sk_c3))
| ~ spl0_7 ),
inference(superposition,[],[f1634,f1648]) ).
fof(f1648,plain,
( ! [X0] : sk_c3 = multiply(X0,inverse(multiply(sk_c2,X0)))
| ~ spl0_7 ),
inference(superposition,[],[f1069,f1635]) ).
fof(f3994,plain,
( spl0_2
| spl0_4
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f3993]) ).
fof(f3993,plain,
( $false
| spl0_2
| spl0_4
| ~ spl0_7 ),
inference(global_subsumption,[],[f1935,f20,f10,f25,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f210,f359,f17,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1407,f1398,f1111,f1104,f1092,f1524,f933,f922,f1005,f1546,f902,f37,f27,f32,f368,f1341,f1335,f1509,f1214,f1530,f1529,f1502,f1501,f1499,f1379,f1505,f1252,f1123,f1046,f1045,f1035,f1034,f1559,f1558,f807,f801,f732,f731,f721,f720,f682,f679,f47,f15,f30]) ).
fof(f1935,plain,
( identity = inverse(identity)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1926,f1633]) ).
fof(f1926,plain,
( identity = inverse(multiply(sk_c2,sk_c3))
| ~ spl0_7 ),
inference(superposition,[],[f1634,f806]) ).
fof(f3992,plain,
( spl0_2
| spl0_4
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f3991]) ).
fof(f3991,plain,
( $false
| spl0_2
| spl0_4
| ~ spl0_7 ),
inference(global_subsumption,[],[f1936,f20,f10,f25,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f210,f359,f17,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1407,f1398,f1111,f1104,f1092,f1524,f933,f922,f1005,f1546,f902,f37,f27,f32,f368,f1341,f1335,f1509,f1214,f1530,f1529,f1502,f1501,f1499,f1379,f1505,f1252,f1123,f1046,f1045,f1035,f1034,f1559,f1558,f807,f801,f732,f731,f721,f720,f682,f679,f47,f15,f30]) ).
fof(f1936,plain,
( identity = inverse(identity)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1927,f1633]) ).
fof(f1927,plain,
( identity = inverse(multiply(sk_c2,sk_c3))
| ~ spl0_7 ),
inference(superposition,[],[f806,f1634]) ).
fof(f3990,plain,
( spl0_2
| spl0_4
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f3989]) ).
fof(f3989,plain,
( $false
| spl0_2
| spl0_4
| ~ spl0_7 ),
inference(global_subsumption,[],[f1635,f20,f10,f25,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f210,f359,f17,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1407,f1398,f1111,f1104,f1092,f1524,f933,f922,f1005,f1546,f902,f37,f27,f32,f368,f1341,f1335,f1509,f1214,f1530,f1529,f1502,f1501,f1499,f1379,f1505,f1252,f1123,f1046,f1045,f1035,f1034,f1559,f1558,f807,f801,f732,f731,f721,f720,f682,f679,f47,f15,f30]) ).
fof(f3988,plain,
( spl0_2
| spl0_4
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f3987]) ).
fof(f3987,plain,
( $false
| spl0_2
| spl0_4
| ~ spl0_7 ),
inference(global_subsumption,[],[f1912,f20,f10,f25,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f210,f359,f17,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1407,f1398,f1111,f1104,f1092,f1524,f933,f922,f1005,f1546,f902,f37,f27,f32,f368,f1341,f1335,f1509,f1214,f1530,f1529,f1502,f1501,f1499,f1379,f1505,f1252,f1123,f1046,f1045,f1035,f1034,f1559,f1558,f807,f801,f732,f731,f721,f720,f682,f679,f47,f15,f30]) ).
fof(f1912,plain,
( identity = inverse(identity)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1902,f1628]) ).
fof(f1628,plain,
( identity = multiply(sk_c3,sk_c2)
| ~ spl0_7 ),
inference(superposition,[],[f2,f1622]) ).
fof(f1902,plain,
( identity = inverse(multiply(sk_c3,sk_c2))
| ~ spl0_7 ),
inference(superposition,[],[f1629,f806]) ).
fof(f3986,plain,
( spl0_2
| spl0_4
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f3985]) ).
fof(f3985,plain,
( $false
| spl0_2
| spl0_4
| ~ spl0_7 ),
inference(global_subsumption,[],[f1913,f20,f10,f25,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f210,f359,f17,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1407,f1398,f1111,f1104,f1092,f1524,f933,f922,f1005,f1546,f902,f37,f27,f32,f368,f1341,f1335,f1509,f1214,f1530,f1529,f1502,f1501,f1499,f1379,f1505,f1252,f1123,f1046,f1045,f1035,f1034,f1559,f1558,f807,f801,f732,f731,f721,f720,f682,f679,f47,f15,f30]) ).
fof(f1913,plain,
( identity = inverse(identity)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1903,f1628]) ).
fof(f1903,plain,
( identity = inverse(multiply(sk_c3,sk_c2))
| ~ spl0_7 ),
inference(superposition,[],[f806,f1629]) ).
fof(f3984,plain,
( ~ spl0_1
| spl0_2
| spl0_4
| ~ spl0_7
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f3983]) ).
fof(f3983,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_4
| ~ spl0_7
| ~ spl0_10 ),
inference(global_subsumption,[],[f3982,f20,f10,f25,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f210,f359,f17,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1407,f1398,f1111,f1104,f1092,f1524,f933,f922,f1005,f1546,f902,f37,f27,f32,f368,f1341,f1335,f1509,f1214,f1530,f1529,f1502,f1501,f1499,f1379,f1505,f1252,f1123,f1046,f1045,f1035,f1034,f1559,f1558,f807,f801,f732,f731,f721,f720,f682,f679,f47,f15,f30]) ).
fof(f3982,plain,
( sk_c8 = inverse(identity)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2535,f2597]) ).
fof(f3981,plain,
( ~ spl0_1
| spl0_2
| spl0_4
| ~ spl0_7
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f3980]) ).
fof(f3980,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_4
| ~ spl0_7
| ~ spl0_10 ),
inference(global_subsumption,[],[f3979,f20,f10,f25,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f210,f359,f17,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1407,f1398,f1111,f1104,f1092,f1524,f933,f922,f1005,f1546,f902,f37,f27,f32,f368,f1341,f1335,f1509,f1214,f1530,f1529,f1502,f1501,f1499,f1379,f1505,f1252,f1123,f1046,f1045,f1035,f1034,f1559,f1558,f807,f801,f732,f731,f721,f720,f682,f679,f47,f15,f30]) ).
fof(f3979,plain,
( sk_c8 = inverse(identity)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2017,f2597]) ).
fof(f3978,plain,
( spl0_2
| spl0_4
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f3977]) ).
fof(f3977,plain,
( $false
| spl0_2
| spl0_4
| ~ spl0_7 ),
inference(global_subsumption,[],[f2124,f20,f10,f25,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f210,f359,f17,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1407,f1398,f1111,f1104,f1092,f1524,f933,f922,f1005,f1546,f902,f37,f27,f32,f368,f1341,f1335,f1509,f1214,f1530,f1529,f1502,f1501,f1499,f1379,f1505,f1252,f1123,f1046,f1045,f1035,f1034,f1559,f1558,f807,f801,f732,f731,f721,f720,f682,f679,f47,f15,f30]) ).
fof(f2124,plain,
( identity = inverse(identity)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2091,f1628]) ).
fof(f2091,plain,
( multiply(sk_c3,sk_c2) = inverse(multiply(sk_c3,sk_c2))
| ~ spl0_7 ),
inference(superposition,[],[f1629,f1933]) ).
fof(f1933,plain,
( ! [X0] : sk_c2 = multiply(X0,inverse(multiply(sk_c3,X0)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1921,f700]) ).
fof(f1921,plain,
( ! [X0] : multiply(X0,inverse(multiply(sk_c3,X0))) = multiply(sk_c2,identity)
| ~ spl0_7 ),
inference(superposition,[],[f1634,f806]) ).
fof(f3976,plain,
( spl0_2
| spl0_4
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f3975]) ).
fof(f3975,plain,
( $false
| spl0_2
| spl0_4
| ~ spl0_7 ),
inference(global_subsumption,[],[f2477,f20,f10,f25,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f210,f359,f17,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1407,f1398,f1111,f1104,f1092,f1524,f933,f922,f1005,f1546,f902,f37,f27,f32,f368,f1341,f1335,f1509,f1214,f1530,f1529,f1502,f1501,f1499,f1379,f1505,f1252,f1123,f1046,f1045,f1035,f1034,f1559,f1558,f807,f801,f732,f731,f721,f720,f682,f679,f47,f15,f30]) ).
fof(f2477,plain,
( identity = inverse(identity)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2459,f1633]) ).
fof(f2459,plain,
( multiply(sk_c2,sk_c3) = inverse(multiply(sk_c2,sk_c3))
| ~ spl0_7 ),
inference(superposition,[],[f1637,f2109]) ).
fof(f2109,plain,
( ! [X0] : sk_c2 = multiply(inverse(multiply(X0,sk_c3)),X0)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2070,f718]) ).
fof(f2070,plain,
( ! [X0] : sk_c2 = multiply(inverse(multiply(X0,sk_c3)),inverse(inverse(X0)))
| ~ spl0_7 ),
inference(superposition,[],[f1933,f1065]) ).
fof(f3974,plain,
( spl0_2
| spl0_4
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f3973]) ).
fof(f3973,plain,
( $false
| spl0_2
| spl0_4
| ~ spl0_7 ),
inference(global_subsumption,[],[f2040,f20,f10,f25,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f210,f359,f17,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1407,f1398,f1111,f1104,f1092,f1524,f933,f922,f1005,f1546,f902,f37,f27,f32,f368,f1341,f1335,f1509,f1214,f1530,f1529,f1502,f1501,f1499,f1379,f1505,f1252,f1123,f1046,f1045,f1035,f1034,f1559,f1558,f807,f801,f732,f731,f721,f720,f682,f679,f47,f15,f30]) ).
fof(f2040,plain,
( identity = inverse(identity)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2025,f1628]) ).
fof(f2025,plain,
( inverse(identity) = multiply(sk_c3,sk_c2)
| ~ spl0_7 ),
inference(superposition,[],[f1649,f210]) ).
fof(f3972,plain,
( ~ spl0_1
| spl0_2
| spl0_4
| ~ spl0_7
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f3971]) ).
fof(f3971,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_4
| ~ spl0_7
| ~ spl0_10 ),
inference(global_subsumption,[],[f3970,f20,f10,f25,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f210,f359,f17,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1407,f1398,f1111,f1104,f1092,f1524,f933,f922,f1005,f1546,f902,f37,f27,f32,f368,f1341,f1335,f1509,f1214,f1530,f1529,f1502,f1501,f1499,f1379,f1505,f1252,f1123,f1046,f1045,f1035,f1034,f1559,f1558,f807,f801,f732,f731,f721,f720,f682,f679,f47,f15,f30]) ).
fof(f3970,plain,
( sk_c8 = inverse(identity)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2513,f2597]) ).
fof(f3969,plain,
( spl0_2
| spl0_4
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f3968]) ).
fof(f3968,plain,
( $false
| spl0_2
| spl0_4
| ~ spl0_7 ),
inference(global_subsumption,[],[f2872,f20,f10,f25,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f210,f359,f17,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1407,f1398,f1111,f1104,f1092,f1524,f933,f922,f1005,f1546,f902,f37,f27,f32,f368,f1341,f1335,f1509,f1214,f1530,f1529,f1502,f1501,f1499,f1379,f1505,f1252,f1123,f1046,f1045,f1035,f1034,f1559,f1558,f807,f801,f732,f731,f721,f720,f682,f679,f47,f15,f30]) ).
fof(f2872,plain,
( identity = inverse(identity)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2845,f1628]) ).
fof(f2845,plain,
( multiply(sk_c3,sk_c2) = inverse(multiply(sk_c3,sk_c2))
| ~ spl0_7 ),
inference(superposition,[],[f1649,f2342]) ).
fof(f2342,plain,
( ! [X0] : sk_c3 = multiply(inverse(multiply(X0,sk_c2)),X0)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2297,f718]) ).
fof(f2297,plain,
( ! [X0] : sk_c3 = multiply(inverse(multiply(X0,sk_c2)),inverse(inverse(X0)))
| ~ spl0_7 ),
inference(superposition,[],[f1648,f1065]) ).
fof(f3967,plain,
( ~ spl0_1
| spl0_2
| spl0_4
| ~ spl0_7
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f3966]) ).
fof(f3966,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_4
| ~ spl0_7
| ~ spl0_10 ),
inference(global_subsumption,[],[f3965,f20,f10,f25,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f210,f359,f17,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1407,f1398,f1111,f1104,f1092,f1524,f933,f922,f1005,f1546,f902,f37,f27,f32,f368,f1341,f1335,f1509,f1214,f1530,f1529,f1502,f1501,f1499,f1379,f1505,f1252,f1123,f1046,f1045,f1035,f1034,f1559,f1558,f807,f801,f732,f731,f721,f720,f682,f679,f47,f15,f30]) ).
fof(f3965,plain,
( sk_c8 = inverse(identity)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2043,f2597]) ).
fof(f3964,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_8
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f3963]) ).
fof(f3963,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_8
| ~ spl0_10 ),
inference(global_subsumption,[],[f3962,f20,f10,f25,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f210,f359,f17,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1407,f1398,f1111,f1104,f1092,f1524,f933,f922,f1005,f1546,f902,f37,f27,f32,f368,f1341,f1335,f1509,f1214,f1530,f1529,f1502,f1501,f1499,f1379,f1505,f1252,f1123,f1046,f1045,f1035,f1034,f1559,f1558,f807,f801,f732,f731,f721,f720,f682,f679,f47,f15,f30]) ).
fof(f3962,plain,
( identity = sk_c8
| sk_c3 = inverse(sk_c2)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3961,f2597]) ).
fof(f3954,plain,
( spl0_2
| spl0_4
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f3953]) ).
fof(f3953,plain,
( $false
| spl0_2
| spl0_4
| ~ spl0_10 ),
inference(global_subsumption,[],[f3952,f20,f10,f25,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f210,f359,f17,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1407,f1398,f1111,f1104,f1092,f1524,f933,f922,f1005,f1546,f902,f37,f27,f32,f368,f1341,f1335,f1509,f1214,f1530,f1529,f1502,f1501,f1499,f1379,f1505,f1252,f1123,f1046,f1045,f1035,f1034,f1559,f1558,f807,f801,f732,f731,f721,f720,f682,f679,f47,f15,f30]) ).
fof(f3952,plain,
( sk_c8 = multiply(sk_c4,identity)
| sk_c3 = inverse(sk_c2)
| ~ spl0_10 ),
inference(forward_demodulation,[],[f31,f2597]) ).
fof(f3951,plain,
( ~ spl0_1
| spl0_2
| spl0_4
| ~ spl0_8
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f3950]) ).
fof(f3950,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_4
| ~ spl0_8
| ~ spl0_10 ),
inference(global_subsumption,[],[f3872,f20,f10,f25,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f210,f359,f17,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1407,f1398,f1111,f1104,f1092,f1524,f933,f922,f1005,f1546,f902,f37,f27,f32,f368,f1341,f1335,f1509,f1214,f1530,f1529,f1502,f1501,f1499,f1379,f1505,f1252,f1123,f1046,f1045,f1035,f1034,f1559,f1558,f807,f801,f732,f731,f721,f720,f682,f679,f47,f15,f30]) ).
fof(f3949,plain,
( spl0_2
| spl0_4
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f3948]) ).
fof(f3948,plain,
( $false
| spl0_2
| spl0_4
| ~ spl0_10 ),
inference(global_subsumption,[],[f3926,f20,f10,f25,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f210,f359,f17,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1407,f1398,f1111,f1104,f1092,f1524,f933,f922,f1005,f1546,f902,f37,f27,f32,f368,f1341,f1335,f1509,f1214,f1530,f1529,f1502,f1501,f1499,f1379,f1505,f1252,f1123,f1046,f1045,f1035,f1034,f1559,f1558,f807,f801,f732,f731,f721,f720,f682,f679,f47,f15,f30]) ).
fof(f3926,plain,
( identity = multiply(sk_c2,sk_c3)
| sk_c8 = inverse(sk_c4)
| ~ spl0_10 ),
inference(forward_demodulation,[],[f25,f2597]) ).
fof(f3947,plain,
( spl0_2
| spl0_4
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f3946]) ).
fof(f3946,plain,
( $false
| spl0_2
| spl0_4
| ~ spl0_10 ),
inference(global_subsumption,[],[f3928,f20,f10,f25,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f210,f359,f17,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1407,f1398,f1111,f1104,f1092,f1524,f933,f922,f1005,f1546,f902,f37,f27,f32,f368,f1341,f1335,f1509,f1214,f1530,f1529,f1502,f1501,f1499,f1379,f1505,f1252,f1123,f1046,f1045,f1035,f1034,f1559,f1558,f807,f801,f732,f731,f721,f720,f682,f679,f47,f15,f30]) ).
fof(f3928,plain,
( sk_c8 = multiply(sk_c1,identity)
| sk_c8 = inverse(sk_c4)
| ~ spl0_10 ),
inference(forward_demodulation,[],[f20,f2597]) ).
fof(f3945,plain,
( spl0_2
| spl0_4
| ~ spl0_8
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f3944]) ).
fof(f3944,plain,
( $false
| spl0_2
| spl0_4
| ~ spl0_8
| ~ spl0_10 ),
inference(global_subsumption,[],[f3932,f20,f10,f25,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f210,f359,f17,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1407,f1398,f1111,f1104,f1092,f1524,f933,f922,f1005,f1546,f902,f37,f27,f32,f368,f1341,f1335,f1509,f1214,f1530,f1529,f1502,f1501,f1499,f1379,f1505,f1252,f1123,f1046,f1045,f1035,f1034,f1559,f1558,f807,f801,f732,f731,f721,f720,f682,f679,f47,f15,f30]) ).
fof(f3932,plain,
( identity = sk_c8
| sk_c8 = inverse(sk_c4)
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3931,f1]) ).
fof(f3931,plain,
( sk_c8 = multiply(identity,identity)
| sk_c8 = inverse(sk_c4)
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3930,f2597]) ).
fof(f3943,plain,
( spl0_2
| spl0_4 ),
inference(avatar_contradiction_clause,[],[f3942]) ).
fof(f3942,plain,
( $false
| spl0_2
| spl0_4 ),
inference(global_subsumption,[],[f20,f10,f25,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f210,f359,f17,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1407,f1398,f1111,f1104,f1092,f1524,f933,f922,f1005,f1546,f902,f37,f27,f32,f368,f1341,f1335,f1509,f1214,f1530,f1529,f1502,f1501,f1499,f1379,f1505,f1252,f1123,f1046,f1045,f1035,f1034,f1559,f1558,f807,f801,f732,f731,f721,f720,f682,f679,f47,f15,f30]) ).
fof(f3941,plain,
( spl0_2
| spl0_4 ),
inference(avatar_contradiction_clause,[],[f3940]) ).
fof(f3940,plain,
( $false
| spl0_2
| spl0_4 ),
inference(global_subsumption,[],[f30,f20,f10,f25,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f210,f359,f17,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1407,f1398,f1111,f1104,f1092,f1524,f933,f922,f1005,f1546,f902,f37,f27,f32,f368,f1341,f1335,f1509,f1214,f1530,f1529,f1502,f1501,f1499,f1379,f1505,f1252,f1123,f1046,f1045,f1035,f1034,f1559,f1558,f807,f801,f732,f731,f721,f720,f682,f679,f47,f15]) ).
fof(f3939,plain,
( spl0_2
| spl0_4 ),
inference(avatar_contradiction_clause,[],[f3938]) ).
fof(f3938,plain,
( $false
| spl0_2
| spl0_4 ),
inference(global_subsumption,[],[f30,f20,f10,f25,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f210,f359,f17,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1407,f1398,f1111,f1104,f1092,f1524,f933,f922,f1005,f1546,f902,f37,f27,f32,f368,f1341,f1335,f1509,f1214,f1530,f1529,f1502,f1501,f1499,f1379,f1505,f1252,f1123,f1046,f1045,f1035,f1034,f1559,f1558,f807,f801,f732,f731,f721,f720,f682,f679,f15,f47]) ).
fof(f3937,plain,
( spl0_2
| spl0_7
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f3936]) ).
fof(f3936,plain,
( $false
| spl0_2
| spl0_7
| ~ spl0_10 ),
inference(global_subsumption,[],[f30,f20,f10,f25,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f210,f359,f17,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1407,f1398,f1111,f1104,f1092,f1524,f933,f922,f1005,f1546,f902,f37,f27,f3305,f32,f3307,f1621,f2597,f1341,f1335,f1509,f1214,f1530,f1529,f1502,f1501,f1499,f1379,f1505,f1252,f1123,f1046,f1045,f1035,f1034,f1559,f1558,f807,f801,f732,f731,f721,f720,f682,f679,f3865,f3868,f3876,f3918,f3926,f3927,f3928,f3929,f3934,f15,f3935,f47]) ).
fof(f3935,plain,
( sk_c8 = inverse(sk_c4)
| spl0_7
| ~ spl0_10 ),
inference(global_subsumption,[],[f30,f20,f10,f25,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f210,f359,f17,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1407,f1398,f1111,f1104,f1092,f1524,f933,f922,f1005,f1546,f902,f37,f27,f3305,f32,f3307,f1621,f2597,f1341,f1335,f1509,f1214,f1530,f1529,f1502,f1501,f1499,f1379,f1505,f1252,f1123,f1046,f1045,f1035,f1034,f1559,f1558,f807,f801,f732,f731,f721,f720,f682,f679,f3865,f3868,f3876,f3918,f3926,f3927,f3928,f3929,f3934,f15]) ).
fof(f3934,plain,
( sk_c8 = inverse(sk_c4)
| spl0_7 ),
inference(subsumption_resolution,[],[f30,f1621]) ).
fof(f3929,plain,
( sk_c8 = inverse(sk_c4)
| spl0_7
| ~ spl0_10 ),
inference(global_subsumption,[],[f30,f15,f20,f10,f25,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f210,f359,f17,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1407,f1398,f1111,f1104,f1092,f1524,f933,f922,f1005,f1546,f902,f37,f27,f3305,f32,f3307,f1621,f2597,f1341,f1335,f1509,f1214,f1530,f1529,f1502,f1501,f1499,f1379,f1505,f1252,f1123,f1046,f1045,f1035,f1034,f1559,f1558,f807,f801,f732,f731,f721,f720,f682,f679,f3865,f3868,f3876,f3918,f3926,f3927,f3928]) ).
fof(f3927,plain,
( sk_c8 = inverse(sk_c4)
| spl0_7
| ~ spl0_10 ),
inference(global_subsumption,[],[f3926,f30,f15,f20,f10,f25,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f210,f359,f17,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1407,f1398,f1111,f1104,f1092,f1524,f933,f922,f1005,f1546,f902,f37,f27,f3305,f32,f3307,f1621,f1341,f1335,f1509,f1214,f1530,f1529,f1502,f1501,f1499,f1379,f1505,f1252,f1123,f1046,f1045,f1035,f1034,f1559,f1558,f807,f801,f732,f731,f721,f720,f682,f679]) ).
fof(f3918,plain,
( identity = multiply(sk_c2,sk_c3)
| sk_c8 = sk_c4
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3917,f2597]) ).
fof(f3917,plain,
( sk_c8 = sk_c4
| sk_c7 = multiply(sk_c2,sk_c3)
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3916,f700]) ).
fof(f3916,plain,
( sk_c8 = multiply(sk_c4,identity)
| sk_c7 = multiply(sk_c2,sk_c3)
| ~ spl0_10 ),
inference(forward_demodulation,[],[f26,f2597]) ).
fof(f3868,plain,
( sk_c8 = multiply(sk_c4,identity)
| spl0_7
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3867,f2597]) ).
fof(f3867,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| spl0_7 ),
inference(subsumption_resolution,[],[f31,f1621]) ).
fof(f1621,plain,
( sk_c3 != inverse(sk_c2)
| spl0_7 ),
inference(avatar_component_clause,[],[f1620]) ).
fof(f3307,plain,
( sk_c7 = inverse(sk_c5)
| spl0_7 ),
inference(global_subsumption,[],[f30,f15,f20,f10,f25,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f210,f359,f17,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1407,f1398,f1499,f1501,f1502,f1379,f1341,f1335,f1505,f1509,f1214,f1252,f1111,f1104,f1092,f1524,f1529,f1530,f1123,f1046,f1045,f1035,f1034,f933,f922,f1005,f1546,f902,f807,f801,f1558,f732,f731,f1559,f721,f720,f682,f679,f37,f1621,f27,f3305,f32]) ).
fof(f3305,plain,
( sk_c7 = inverse(sk_c5)
| spl0_7 ),
inference(global_subsumption,[],[f30,f15,f20,f10,f25,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f210,f359,f17,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1407,f1398,f1499,f1501,f1502,f1379,f1341,f1335,f1505,f1509,f1214,f1252,f1111,f1104,f1092,f1524,f1529,f1530,f1123,f1046,f1045,f1035,f1034,f933,f922,f1005,f1546,f902,f807,f801,f1558,f732,f731,f1559,f721,f720,f682,f679,f37,f32,f1621,f27]) ).
fof(f3758,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f3757]) ).
fof(f3757,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f3756,f1]) ).
fof(f3756,plain,
( identity != multiply(identity,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3725,f3183]) ).
fof(f3183,plain,
( identity = sk_c8
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10 ),
inference(duplicate_literal_removal,[],[f3182]) ).
fof(f3182,plain,
( identity = sk_c8
| identity = sk_c8
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3181,f1]) ).
fof(f3181,plain,
( sk_c8 = multiply(identity,identity)
| identity = sk_c8
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3180,f2597]) ).
fof(f3180,plain,
( sk_c8 = multiply(sk_c7,identity)
| identity = sk_c8
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3179,f1626]) ).
fof(f3179,plain,
( identity = sk_c8
| sk_c8 = multiply(sk_c7,sk_c6)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3136,f2597]) ).
fof(f3136,plain,
( sk_c8 = sk_c7
| sk_c8 = multiply(sk_c7,sk_c6)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_8 ),
inference(forward_demodulation,[],[f3135,f351]) ).
fof(f351,plain,
( sk_c8 = multiply(sk_c8,identity)
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f338,f319]) ).
fof(f338,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f67,f326]) ).
fof(f326,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c4,X0)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f325,f1]) ).
fof(f325,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c7,multiply(identity,X0))
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f3,f323]) ).
fof(f323,plain,
( sk_c4 = multiply(sk_c7,identity)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f233,f44]) ).
fof(f233,plain,
( sk_c4 = multiply(inverse(sk_c8),identity)
| ~ spl0_2 ),
inference(superposition,[],[f64,f50]) ).
fof(f50,plain,
( identity = multiply(sk_c8,sk_c4)
| ~ spl0_2 ),
inference(superposition,[],[f2,f48]) ).
fof(f48,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f67,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c4,X0)) = X0
| ~ spl0_2 ),
inference(forward_demodulation,[],[f62,f1]) ).
fof(f62,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c4,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f50]) ).
fof(f3135,plain,
( sk_c7 = multiply(sk_c8,identity)
| sk_c8 = multiply(sk_c7,sk_c6)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1569,f1626]) ).
fof(f3725,plain,
( identity != multiply(sk_c8,identity)
| ~ spl0_1
| ~ spl0_6 ),
inference(superposition,[],[f1495,f329]) ).
fof(f1495,plain,
( ! [X4] : identity != multiply(inverse(X4),identity)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f1494]) ).
fof(f3755,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f3754]) ).
fof(f3754,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f3723,f3183]) ).
fof(f3723,plain,
( identity != sk_c8
| ~ spl0_1
| ~ spl0_6 ),
inference(superposition,[],[f1495,f2179]) ).
fof(f3753,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f3752]) ).
fof(f3752,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f3722,f2597]) ).
fof(f3722,plain,
( identity != sk_c7
| ~ spl0_1
| ~ spl0_6 ),
inference(superposition,[],[f1495,f2259]) ).
fof(f3751,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f3750]) ).
fof(f3750,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f3717,f3002]) ).
fof(f3002,plain,
( identity = sk_c4
| ~ spl0_1
| ~ spl0_2
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2980,f1]) ).
fof(f2980,plain,
( sk_c4 = multiply(identity,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_10 ),
inference(superposition,[],[f323,f2597]) ).
fof(f3717,plain,
( identity != sk_c4
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f1495,f330]) ).
fof(f330,plain,
( sk_c4 = multiply(inverse(inverse(sk_c7)),identity)
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f64,f324]) ).
fof(f324,plain,
( identity = multiply(inverse(sk_c7),sk_c4)
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f64,f323]) ).
fof(f3749,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f3748]) ).
fof(f3748,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f3716,f3183]) ).
fof(f3716,plain,
( identity != sk_c8
| ~ spl0_1
| ~ spl0_6 ),
inference(superposition,[],[f1495,f320]) ).
fof(f3747,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f3746]) ).
fof(f3746,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f3745,f1]) ).
fof(f3745,plain,
( identity != multiply(identity,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3715,f3183]) ).
fof(f3715,plain,
( identity != multiply(sk_c8,identity)
| ~ spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f1495,f48]) ).
fof(f3744,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f3743]) ).
fof(f3743,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f3742,f1]) ).
fof(f3742,plain,
( identity != multiply(identity,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3714,f3183]) ).
fof(f3714,plain,
( identity != multiply(sk_c8,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f1495,f405]) ).
fof(f405,plain,
( sk_c8 = inverse(sk_c7)
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f48,f400]) ).
fof(f400,plain,
( sk_c7 = sk_c4
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f395,f323]) ).
fof(f3741,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f3740]) ).
fof(f3740,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f3739,f1]) ).
fof(f3739,plain,
( identity != multiply(identity,identity)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3713,f2597]) ).
fof(f3713,plain,
( identity != multiply(sk_c7,identity)
| ~ spl0_1
| ~ spl0_6 ),
inference(superposition,[],[f1495,f44]) ).
fof(f3738,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f3737]) ).
fof(f3737,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f3736,f1]) ).
fof(f3736,plain,
( identity != multiply(identity,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3735,f1]) ).
fof(f3735,plain,
( identity != multiply(multiply(identity,identity),identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3711,f3183]) ).
fof(f3711,plain,
( identity != multiply(multiply(sk_c8,sk_c8),identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f1495,f2157]) ).
fof(f2157,plain,
( multiply(sk_c8,sk_c8) = inverse(multiply(sk_c7,sk_c7))
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f338,f1375]) ).
fof(f3734,plain,
( ~ spl0_2
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f3733]) ).
fof(f3733,plain,
( $false
| ~ spl0_2
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f3710,f1]) ).
fof(f3710,plain,
( identity != multiply(identity,identity)
| ~ spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f1495,f1031]) ).
fof(f1031,plain,
( identity = inverse(identity)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f938,f50]) ).
fof(f938,plain,
( identity = inverse(multiply(sk_c8,sk_c4))
| ~ spl0_2 ),
inference(superposition,[],[f806,f67]) ).
fof(f3732,plain,
~ spl0_6,
inference(avatar_contradiction_clause,[],[f3731]) ).
fof(f3731,plain,
( $false
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f3720]) ).
fof(f3720,plain,
( identity != identity
| ~ spl0_6 ),
inference(superposition,[],[f1495,f2]) ).
fof(f3730,plain,
~ spl0_6,
inference(avatar_contradiction_clause,[],[f3729]) ).
fof(f3729,plain,
( $false
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f3721]) ).
fof(f3721,plain,
( identity != identity
| ~ spl0_6 ),
inference(superposition,[],[f1495,f210]) ).
fof(f3728,plain,
~ spl0_6,
inference(avatar_contradiction_clause,[],[f3727]) ).
fof(f3727,plain,
( $false
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f3724]) ).
fof(f3724,plain,
( identity != identity
| ~ spl0_6 ),
inference(superposition,[],[f1495,f628]) ).
fof(f3699,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f3698]) ).
fof(f3698,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f3697,f1031]) ).
fof(f3697,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3696,f2597]) ).
fof(f3696,plain,
( identity != inverse(sk_c7)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3695,f400]) ).
fof(f3695,plain,
( identity != inverse(sk_c4)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f3694,f1]) ).
fof(f3694,plain,
( identity != multiply(identity,identity)
| identity != inverse(sk_c4)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3636,f2597]) ).
fof(f3636,plain,
( identity != multiply(sk_c7,identity)
| identity != inverse(sk_c4)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5 ),
inference(superposition,[],[f1492,f326]) ).
fof(f1492,plain,
( ! [X6] :
( identity != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f1491]) ).
fof(f3693,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f3692]) ).
fof(f3692,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f3691,f1031]) ).
fof(f3691,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3690,f3183]) ).
fof(f3690,plain,
( identity != inverse(sk_c8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3689,f405]) ).
fof(f3689,plain,
( identity != inverse(inverse(sk_c7))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f3688,f3183]) ).
fof(f3688,plain,
( identity != sk_c8
| identity != inverse(inverse(sk_c7))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5 ),
inference(forward_demodulation,[],[f3635,f351]) ).
fof(f3635,plain,
( identity != multiply(sk_c8,identity)
| identity != inverse(inverse(sk_c7))
| ~ spl0_1
| ~ spl0_5 ),
inference(superposition,[],[f1492,f329]) ).
fof(f3687,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f3686]) ).
fof(f3686,plain,
( $false
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f3685,f718]) ).
fof(f3685,plain,
( identity != inverse(inverse(identity))
| ~ spl0_5 ),
inference(forward_demodulation,[],[f3640,f718]) ).
fof(f3640,plain,
( identity != inverse(inverse(inverse(inverse(identity))))
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f3634]) ).
fof(f3634,plain,
( identity != identity
| identity != inverse(inverse(inverse(inverse(identity))))
| ~ spl0_5 ),
inference(superposition,[],[f1492,f628]) ).
fof(f3684,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f3683]) ).
fof(f3683,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f3682,f1031]) ).
fof(f3682,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3681,f3183]) ).
fof(f3681,plain,
( identity != inverse(sk_c8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3680,f405]) ).
fof(f3680,plain,
( identity != inverse(inverse(sk_c7))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3679,f1]) ).
fof(f3679,plain,
( identity != inverse(inverse(multiply(identity,sk_c7)))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f3633,f3183]) ).
fof(f3633,plain,
( identity != sk_c8
| identity != inverse(inverse(multiply(identity,sk_c7)))
| ~ spl0_1
| ~ spl0_5 ),
inference(superposition,[],[f1492,f2179]) ).
fof(f3678,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f3677]) ).
fof(f3677,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f3676,f1031]) ).
fof(f3676,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3675,f2597]) ).
fof(f3675,plain,
( identity != inverse(sk_c7)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3674,f44]) ).
fof(f3674,plain,
( identity != inverse(inverse(sk_c8))
| ~ spl0_1
| ~ spl0_5
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3673,f1]) ).
fof(f3673,plain,
( identity != inverse(inverse(multiply(identity,sk_c8)))
| ~ spl0_1
| ~ spl0_5
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f3632,f2597]) ).
fof(f3632,plain,
( identity != sk_c7
| identity != inverse(inverse(multiply(identity,sk_c8)))
| ~ spl0_1
| ~ spl0_5 ),
inference(superposition,[],[f1492,f2259]) ).
fof(f3672,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f3671]) ).
fof(f3671,plain,
( $false
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f3641,f718]) ).
fof(f3641,plain,
( identity != inverse(inverse(identity))
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f3631]) ).
fof(f3631,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl0_5 ),
inference(superposition,[],[f1492,f210]) ).
fof(f3670,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f3669]) ).
fof(f3669,plain,
( $false
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f3642,f718]) ).
fof(f3642,plain,
( identity != inverse(inverse(identity))
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f3630]) ).
fof(f3630,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl0_5 ),
inference(superposition,[],[f1492,f2]) ).
fof(f3668,plain,
( ~ spl0_2
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f3667]) ).
fof(f3667,plain,
( $false
| ~ spl0_2
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f3643,f1031]) ).
fof(f3643,plain,
( identity != inverse(identity)
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f3629]) ).
fof(f3629,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl0_5 ),
inference(superposition,[],[f1492,f1]) ).
fof(f3666,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f3665]) ).
fof(f3665,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f3664,f1031]) ).
fof(f3664,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3663,f2597]) ).
fof(f3663,plain,
( identity != inverse(sk_c7)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f3628,f3002]) ).
fof(f3628,plain,
( identity != sk_c4
| identity != inverse(sk_c7)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5 ),
inference(superposition,[],[f1492,f323]) ).
fof(f3662,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f3661]) ).
fof(f3661,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f3660,f1031]) ).
fof(f3660,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3659,f2597]) ).
fof(f3659,plain,
( identity != inverse(sk_c7)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f3627,f2597]) ).
fof(f3627,plain,
( identity != sk_c7
| identity != inverse(sk_c7)
| ~ spl0_1
| ~ spl0_5 ),
inference(superposition,[],[f1492,f395]) ).
fof(f3658,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f3657]) ).
fof(f3657,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f3656,f1031]) ).
fof(f3656,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3655,f3183]) ).
fof(f3655,plain,
( identity != inverse(sk_c8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f3626,f3183]) ).
fof(f3626,plain,
( identity != sk_c8
| identity != inverse(sk_c8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5 ),
inference(superposition,[],[f1492,f351]) ).
fof(f3653,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f3652]) ).
fof(f3652,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f3651,f1031]) ).
fof(f3651,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3650,f2597]) ).
fof(f3650,plain,
( identity != inverse(sk_c7)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3649,f718]) ).
fof(f3649,plain,
( identity != inverse(inverse(inverse(sk_c7)))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f3624,f3002]) ).
fof(f3624,plain,
( identity != sk_c4
| identity != inverse(inverse(inverse(sk_c7)))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5 ),
inference(superposition,[],[f1492,f330]) ).
fof(f3648,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f3647]) ).
fof(f3647,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f3646,f1031]) ).
fof(f3646,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3645,f3183]) ).
fof(f3645,plain,
( identity != inverse(sk_c8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3644,f405]) ).
fof(f3644,plain,
( identity != inverse(inverse(sk_c7))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f3623,f3183]) ).
fof(f3623,plain,
( identity != sk_c8
| identity != inverse(inverse(sk_c7))
| ~ spl0_1
| ~ spl0_5 ),
inference(superposition,[],[f1492,f320]) ).
fof(f3469,plain,
( spl0_12
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f437,f367,f363,f46,f42,f2880]) ).
fof(f437,plain,
( sk_c8 = sk_c7
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f436,f351]) ).
fof(f436,plain,
( sk_c7 = multiply(sk_c8,identity)
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f435,f377]) ).
fof(f435,plain,
( sk_c7 = multiply(sk_c5,identity)
| ~ spl0_1
| spl0_4 ),
inference(forward_demodulation,[],[f434,f423]) ).
fof(f423,plain,
( identity = sk_c6
| ~ spl0_1
| spl0_4 ),
inference(forward_demodulation,[],[f422,f319]) ).
fof(f422,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| spl0_4 ),
inference(subsumption_resolution,[],[f14,f368]) ).
fof(f434,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| spl0_4 ),
inference(subsumption_resolution,[],[f18,f368]) ).
fof(f3461,plain,
( spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f3460]) ).
fof(f3460,plain,
( $false
| spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f30,f15,f20,f10,f25,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f210,f359,f17,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1407,f1398,f1499,f1501,f1502,f1379,f1341,f1335,f1505,f1509,f1214,f1252,f1111,f1104,f1092,f1524,f1529,f1530,f1123,f1046,f1045,f1035,f1034,f933,f922,f1005,f1546,f902,f807,f801,f1558,f732,f731,f1559,f721,f720,f682,f679,f3000,f37,f27,f32,f2882,f2592,f3237,f2976,f2597]) ).
fof(f3237,plain,
( identity != sk_c8
| spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3236,f1]) ).
fof(f3236,plain,
( sk_c8 != multiply(identity,identity)
| spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2592,f2597]) ).
fof(f3459,plain,
( spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f3458]) ).
fof(f3458,plain,
( $false
| spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f30,f15,f20,f10,f25,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f210,f359,f17,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1407,f1398,f1499,f1501,f1502,f1379,f1341,f1335,f1505,f1509,f1214,f1252,f1111,f1104,f1092,f1524,f1529,f1530,f1123,f1046,f1045,f1035,f1034,f933,f922,f1005,f1546,f902,f807,f801,f1558,f732,f731,f1559,f721,f720,f682,f679,f2597,f3000,f37,f27,f32,f2882,f2592,f3237,f2976]) ).
fof(f3457,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_8
| spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f3456]) ).
fof(f3456,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_8
| spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f3183,f30,f15,f20,f10,f25,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f210,f359,f17,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1407,f1398,f1499,f1501,f1502,f1379,f1341,f1335,f1505,f1509,f1214,f1252,f1111,f1104,f1092,f1524,f1529,f1530,f1123,f1046,f1045,f1035,f1034,f933,f922,f1005,f1546,f902,f807,f801,f1558,f732,f731,f1559,f721,f720,f682,f679,f2597,f3000,f2976,f37,f27,f32,f2882,f2592,f3237]) ).
fof(f3455,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f3454]) ).
fof(f3454,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f3011,f30,f15,f20,f10,f25,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f210,f359,f17,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1407,f1398,f1499,f1501,f1502,f1379,f1341,f1335,f1505,f1509,f1214,f1252,f1111,f1104,f1092,f1524,f1529,f1530,f1123,f1046,f1045,f1035,f1034,f933,f922,f1005,f1546,f902,f807,f801,f1558,f732,f731,f1559,f721,f720,f682,f679,f2597,f3000,f2976,f37,f27,f32,f2882,f2592,f3237]) ).
fof(f3011,plain,
( identity = sk_c8
| ~ spl0_1
| ~ spl0_2
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2989,f1031]) ).
fof(f2989,plain,
( sk_c8 = inverse(identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_10 ),
inference(superposition,[],[f405,f2597]) ).
fof(f3453,plain,
( ~ spl0_1
| spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f3452]) ).
fof(f3452,plain,
( $false
| ~ spl0_1
| spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f3013,f30,f15,f20,f10,f25,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f210,f359,f17,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1407,f1398,f1499,f1501,f1502,f1379,f1341,f1335,f1505,f1509,f1214,f1252,f1111,f1104,f1092,f1524,f1529,f1530,f1123,f1046,f1045,f1035,f1034,f933,f922,f1005,f1546,f902,f807,f801,f1558,f732,f731,f1559,f721,f720,f682,f679,f2597,f3000,f2976,f37,f27,f32,f2882,f2592,f3237]) ).
fof(f3451,plain,
( spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f3450]) ).
fof(f3450,plain,
( $false
| spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f30,f15,f20,f10,f25,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f210,f359,f17,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1407,f1398,f1499,f1501,f1502,f1379,f1341,f1335,f1505,f1509,f1214,f1252,f1111,f1104,f1092,f1524,f1529,f1530,f1123,f1046,f1045,f1035,f1034,f933,f922,f1005,f1546,f902,f807,f801,f1558,f732,f731,f1559,f721,f720,f682,f679,f2597,f3000,f2976,f37,f27,f32,f2882,f2592,f3237]) ).
fof(f3449,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f3448]) ).
fof(f3448,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f3210,f30,f15,f20,f10,f25,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f210,f359,f17,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1407,f1398,f1499,f1501,f1502,f1379,f1341,f1335,f1505,f1509,f1214,f1252,f1111,f1104,f1092,f1524,f1529,f1530,f1123,f1046,f1045,f1035,f1034,f933,f922,f1005,f1546,f902,f807,f801,f1558,f732,f731,f1559,f721,f720,f682,f679,f2597,f3000,f2976,f3237,f37,f27,f32,f2882,f2592]) ).
fof(f3210,plain,
( identity = sk_c8
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_10 ),
inference(duplicate_literal_removal,[],[f3209]) ).
fof(f3209,plain,
( identity = sk_c8
| identity = sk_c8
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3208,f1]) ).
fof(f3208,plain,
( sk_c8 = multiply(identity,identity)
| identity = sk_c8
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3207,f2597]) ).
fof(f3207,plain,
( sk_c8 = multiply(sk_c7,identity)
| identity = sk_c8
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3206,f1626]) ).
fof(f3206,plain,
( identity = sk_c8
| sk_c8 = multiply(sk_c7,sk_c6)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3205,f1]) ).
fof(f3205,plain,
( sk_c8 = multiply(identity,identity)
| sk_c8 = multiply(sk_c7,sk_c6)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1570,f2597]) ).
fof(f1570,plain,
( sk_c8 = multiply(sk_c7,sk_c7)
| sk_c8 = multiply(sk_c7,sk_c6)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f11,f400]) ).
fof(f3447,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f3446]) ).
fof(f3446,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f3109,f30,f15,f20,f10,f25,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f210,f359,f17,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1407,f1398,f1499,f1501,f1502,f1379,f1341,f1335,f1505,f1509,f1214,f1252,f1111,f1104,f1092,f1524,f1529,f1530,f1123,f1046,f1045,f1035,f1034,f933,f922,f1005,f1546,f902,f807,f801,f1558,f732,f731,f1559,f721,f720,f682,f679,f2597,f3000,f2976,f3237,f37,f27,f32,f2882,f2592]) ).
fof(f3109,plain,
( identity = sk_c8
| ~ spl0_1
| ~ spl0_2
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3102,f1031]) ).
fof(f3102,plain,
( sk_c8 = inverse(identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_10 ),
inference(superposition,[],[f48,f3002]) ).
fof(f3445,plain,
( ~ spl0_1
| spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f3444]) ).
fof(f3444,plain,
( $false
| ~ spl0_1
| spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f3024,f30,f15,f20,f10,f25,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f210,f359,f17,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1407,f1398,f1499,f1501,f1502,f1379,f1341,f1335,f1505,f1509,f1214,f1252,f1111,f1104,f1092,f1524,f1529,f1530,f1123,f1046,f1045,f1035,f1034,f933,f922,f1005,f1546,f902,f807,f801,f1558,f732,f731,f1559,f721,f720,f682,f679,f2597,f3000,f2976,f3237,f37,f27,f32,f2882,f2592]) ).
fof(f3443,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f3442]) ).
fof(f3442,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f3441,f30,f15,f20,f10,f25,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f210,f359,f17,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1407,f1398,f1499,f1501,f1502,f1379,f1341,f1335,f1505,f1509,f1214,f1252,f1111,f1104,f1092,f1524,f1529,f1530,f1123,f1046,f1045,f1035,f1034,f933,f922,f1005,f1546,f902,f807,f801,f1558,f732,f731,f1559,f721,f720,f682,f679,f2597,f3000,f2976,f3237,f37,f27,f32,f2882,f2592]) ).
fof(f3441,plain,
( identity = sk_c7
| ~ spl0_1
| ~ spl0_2
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3030,f1031]) ).
fof(f3440,plain,
( ~ spl0_1
| spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f3439]) ).
fof(f3439,plain,
( $false
| ~ spl0_1
| spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f3001,f30,f15,f20,f10,f25,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f210,f359,f17,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1407,f1398,f1499,f1501,f1502,f1379,f1341,f1335,f1505,f1509,f1214,f1252,f1111,f1104,f1092,f1524,f1529,f1530,f1123,f1046,f1045,f1035,f1034,f933,f922,f1005,f1546,f902,f807,f801,f1558,f732,f731,f1559,f721,f720,f682,f679,f2597,f3000,f2976,f3237,f37,f27,f32,f2882,f2592]) ).
fof(f3438,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f3437]) ).
fof(f3437,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f3002,f30,f15,f20,f10,f25,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f210,f359,f17,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1407,f1398,f1499,f1501,f1502,f1379,f1341,f1335,f1505,f1509,f1214,f1252,f1111,f1104,f1092,f1524,f1529,f1530,f1123,f1046,f1045,f1035,f1034,f933,f922,f1005,f1546,f902,f807,f801,f1558,f732,f731,f1559,f721,f720,f682,f679,f2597,f3000,f2976,f3237,f37,f27,f32,f2882,f2592]) ).
fof(f3436,plain,
( spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f3435]) ).
fof(f3435,plain,
( $false
| spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(global_subsumption,[],[f3196,f30,f15,f20,f10,f25,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f210,f359,f17,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1407,f1398,f1499,f1501,f1502,f1379,f1341,f1335,f1505,f1509,f1214,f1252,f1111,f1104,f1092,f1524,f1529,f1530,f1123,f1046,f1045,f1035,f1034,f933,f922,f1005,f1546,f902,f807,f801,f1558,f732,f731,f1559,f721,f720,f682,f679,f2597,f3000,f2976,f3237,f37,f27,f32,f2882,f2592]) ).
fof(f3196,plain,
( identity = multiply(sk_c3,sk_c8)
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f2878,f2597]) ).
fof(f2878,plain,
( sk_c7 = multiply(sk_c3,sk_c8)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f2876]) ).
fof(f2876,plain,
( spl0_11
<=> sk_c7 = multiply(sk_c3,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f3434,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f3433]) ).
fof(f3433,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f3256,f30,f15,f20,f10,f25,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f210,f359,f17,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1407,f1398,f1499,f1501,f1502,f1379,f1341,f1335,f1505,f1509,f1214,f1252,f1111,f1104,f1092,f1524,f1529,f1530,f1123,f1046,f1045,f1035,f1034,f933,f922,f1005,f1546,f902,f807,f801,f1558,f732,f731,f1559,f721,f720,f682,f679,f2597,f3000,f2976,f3237,f37,f27,f32,f2882,f2592]) ).
fof(f3256,plain,
( ! [X3,X6,X7,X4] :
( identity != sk_c7
| identity != sk_c8
| identity != inverse(X3)
| identity != inverse(X6)
| identity != inverse(X7)
| identity != multiply(X6,identity)
| identity != multiply(X3,identity)
| identity != multiply(X7,identity)
| identity != multiply(inverse(X4),identity) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f1557,f1626]) ).
fof(f1557,plain,
( ! [X3,X6,X7,X4] :
( identity != sk_c7
| identity != sk_c6
| identity != sk_c8
| identity != inverse(X3)
| identity != inverse(X6)
| identity != inverse(X7)
| identity != multiply(X6,identity)
| identity != multiply(X3,identity)
| identity != multiply(X7,identity)
| identity != multiply(inverse(X4),identity) )
| ~ spl0_1
| ~ spl0_2 ),
inference(inner_rewriting,[],[f1556]) ).
fof(f1556,plain,
( ! [X3,X6,X7,X4] :
( sk_c8 != sk_c7
| identity != sk_c6
| identity != sk_c8
| sk_c8 != inverse(X3)
| sk_c8 != inverse(X6)
| sk_c8 != inverse(X7)
| sk_c8 != multiply(X6,sk_c8)
| sk_c8 != multiply(X3,sk_c8)
| sk_c8 != multiply(X7,identity)
| sk_c8 != multiply(inverse(X4),sk_c8) )
| ~ spl0_1
| ~ spl0_2 ),
inference(inner_rewriting,[],[f1555]) ).
fof(f1555,plain,
( ! [X3,X6,X7,X4] :
( sk_c8 != sk_c7
| identity != sk_c6
| identity != sk_c7
| sk_c8 != inverse(X3)
| sk_c8 != inverse(X6)
| sk_c7 != inverse(X7)
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != multiply(X7,identity)
| sk_c7 != multiply(inverse(X4),sk_c8) )
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1554,f400]) ).
fof(f1554,plain,
( ! [X3,X6,X7,X4] :
( sk_c8 != sk_c4
| identity != sk_c6
| identity != sk_c7
| sk_c8 != inverse(X3)
| sk_c8 != inverse(X6)
| sk_c7 != inverse(X7)
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != multiply(X7,identity)
| sk_c7 != multiply(inverse(X4),sk_c8) )
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1553,f323]) ).
fof(f3432,plain,
( spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f3431]) ).
fof(f3431,plain,
( $false
| spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f30,f15,f20,f10,f25,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f210,f359,f17,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1407,f1398,f1499,f1501,f1502,f1379,f1341,f1335,f1505,f1509,f1214,f1252,f1111,f1104,f1092,f1524,f1529,f1530,f1123,f1046,f1045,f1035,f1034,f933,f922,f1005,f1546,f902,f807,f801,f1558,f732,f731,f1559,f721,f720,f682,f679,f2597,f3000,f2976,f3237,f37,f27,f32,f2882,f2592]) ).
fof(f3430,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f3429]) ).
fof(f3429,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f3245,f30,f15,f20,f10,f25,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f210,f359,f17,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1407,f1398,f1499,f1501,f1502,f1379,f1341,f1335,f1505,f1509,f1214,f1252,f1111,f1104,f1092,f1524,f1529,f1530,f1123,f1046,f1045,f1035,f1034,f933,f922,f1005,f1546,f902,f807,f801,f1558,f732,f731,f1559,f721,f720,f682,f679,f2597,f3000,f2976,f3237,f37,f27,f32,f2882,f2592]) ).
fof(f3245,plain,
( sk_c8 = sk_c7
| sk_c8 = multiply(sk_c7,sk_c7)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8 ),
inference(forward_demodulation,[],[f3244,f400]) ).
fof(f3244,plain,
( sk_c8 = sk_c4
| sk_c8 = multiply(sk_c7,sk_c7)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8 ),
inference(forward_demodulation,[],[f3243,f323]) ).
fof(f3243,plain,
( sk_c8 = multiply(sk_c7,identity)
| sk_c8 = multiply(sk_c7,sk_c7)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1570,f1626]) ).
fof(f3428,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f3427]) ).
fof(f3427,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f659,f30,f15,f20,f10,f25,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f210,f359,f17,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1407,f1398,f1499,f1501,f1502,f1379,f1341,f1335,f1505,f1509,f1214,f1252,f1111,f1104,f1092,f1524,f1529,f1530,f1123,f1046,f1045,f1035,f1034,f933,f922,f1005,f1546,f902,f807,f801,f1558,f732,f731,f1559,f721,f720,f682,f679,f2597,f3000,f2976,f3237,f37,f27,f32,f2882,f2592]) ).
fof(f659,plain,
( sk_c8 = multiply(sk_c7,sk_c7)
| sk_c7 = multiply(sk_c2,sk_c3)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f26,f326]) ).
fof(f3426,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f3425]) ).
fof(f3425,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f3371,f30,f15,f20,f10,f25,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f210,f359,f17,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1407,f1398,f1499,f1501,f1502,f1379,f1341,f1335,f1505,f1509,f1214,f1252,f1111,f1104,f1092,f1524,f1529,f1530,f1123,f1046,f1045,f1035,f1034,f933,f922,f1005,f1546,f902,f807,f801,f1558,f732,f731,f1559,f721,f720,f682,f679,f2597,f3000,f2976,f3237,f37,f27,f32,f2882,f2592]) ).
fof(f3424,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_8
| spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f3423]) ).
fof(f3423,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_8
| spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f3376,f30,f15,f20,f10,f25,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f210,f359,f17,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1407,f1398,f1499,f1501,f1502,f1379,f1341,f1335,f1505,f1509,f1214,f1252,f1111,f1104,f1092,f1524,f1529,f1530,f1123,f1046,f1045,f1035,f1034,f933,f922,f1005,f1546,f902,f807,f801,f1558,f732,f731,f1559,f721,f720,f682,f679,f2597,f3000,f2976,f3237,f37,f27,f32,f2882,f2592]) ).
fof(f3376,plain,
( sk_c8 = sk_c7
| sk_c8 = inverse(sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_8 ),
inference(forward_demodulation,[],[f3375,f351]) ).
fof(f3422,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f3421]) ).
fof(f3421,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f1567,f30,f15,f20,f10,f25,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f210,f359,f17,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1407,f1398,f1499,f1501,f1502,f1379,f1341,f1335,f1505,f1509,f1214,f1252,f1111,f1104,f1092,f1524,f1529,f1530,f1123,f1046,f1045,f1035,f1034,f933,f922,f1005,f1546,f902,f807,f801,f1558,f732,f731,f1559,f721,f720,f682,f679,f2597,f3000,f2976,f3237,f37,f27,f32,f2882,f2592]) ).
fof(f1567,plain,
( sk_c8 = multiply(sk_c7,sk_c7)
| sk_c8 = multiply(sk_c1,sk_c7)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f21,f326]) ).
fof(f3420,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f3419]) ).
fof(f3419,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f1579,f30,f15,f20,f10,f25,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f210,f359,f17,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1407,f1398,f1499,f1501,f1502,f1379,f1341,f1335,f1505,f1509,f1214,f1252,f1111,f1104,f1092,f1524,f1529,f1530,f1123,f1046,f1045,f1035,f1034,f933,f922,f1005,f1546,f902,f807,f801,f1558,f732,f731,f1559,f721,f720,f682,f679,f2597,f3000,f2976,f3237,f37,f27,f32,f2882,f2592]) ).
fof(f1579,plain,
( sk_c8 = multiply(sk_c7,sk_c7)
| sk_c8 = inverse(sk_c1)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f16,f400]) ).
fof(f3418,plain,
( ~ spl0_5
| spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f3417]) ).
fof(f3417,plain,
( $false
| ~ spl0_5
| spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f1492,f30,f15,f20,f10,f25,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f210,f359,f17,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1407,f1398,f1499,f1501,f1502,f1379,f1341,f1335,f1505,f1509,f1214,f1252,f1111,f1104,f1092,f1524,f1529,f1530,f1123,f1046,f1045,f1035,f1034,f933,f922,f1005,f1546,f902,f807,f801,f1558,f732,f731,f1559,f721,f720,f682,f679,f2597,f3000,f2976,f3237,f37,f27,f32,f2882,f2592]) ).
fof(f3416,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f3415]) ).
fof(f3415,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f538,f30,f15,f20,f10,f25,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f210,f359,f17,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1407,f1398,f1499,f1501,f1502,f1379,f1341,f1335,f1505,f1509,f1214,f1252,f1111,f1104,f1092,f1524,f1529,f1530,f1123,f1046,f1045,f1035,f1034,f933,f922,f1005,f1546,f902,f807,f801,f1558,f732,f731,f1559,f721,f720,f682,f679,f2597,f3000,f2976,f3237,f37,f27,f32,f2882,f2592]) ).
fof(f538,plain,
( identity = sk_c4
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f522,f1]) ).
fof(f522,plain,
( sk_c4 = multiply(identity,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f323,f517]) ).
fof(f517,plain,
( identity = sk_c7
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f491,f1]) ).
fof(f491,plain,
( sk_c7 = multiply(identity,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f429,f481]) ).
fof(f481,plain,
( identity = sk_c8
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f478,f2]) ).
fof(f478,plain,
( sk_c8 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f64,f451]) ).
fof(f451,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f425,f437]) ).
fof(f425,plain,
( sk_c8 = multiply(sk_c7,sk_c7)
| ~ spl0_1
| ~ spl0_2
| spl0_4 ),
inference(forward_demodulation,[],[f424,f400]) ).
fof(f424,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| spl0_4 ),
inference(subsumption_resolution,[],[f16,f368]) ).
fof(f429,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl0_1
| ~ spl0_2
| spl0_4 ),
inference(forward_demodulation,[],[f427,f405]) ).
fof(f427,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c8)
| ~ spl0_1
| ~ spl0_2
| spl0_4 ),
inference(superposition,[],[f64,f425]) ).
fof(f3414,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f3413]) ).
fof(f3413,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f437,f30,f15,f20,f10,f25,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f210,f359,f17,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1407,f1398,f1499,f1501,f1502,f1379,f1341,f1335,f1505,f1509,f1214,f1252,f1111,f1104,f1092,f1524,f1529,f1530,f1123,f1046,f1045,f1035,f1034,f933,f922,f1005,f1546,f902,f807,f801,f1558,f732,f731,f1559,f721,f720,f682,f679,f2597,f3000,f2976,f3237,f37,f27,f32,f2882,f2592]) ).
fof(f3412,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f3411]) ).
fof(f3411,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f464,f30,f15,f20,f10,f25,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f210,f359,f17,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1407,f1398,f1499,f1501,f1502,f1379,f1341,f1335,f1505,f1509,f1214,f1252,f1111,f1104,f1092,f1524,f1529,f1530,f1123,f1046,f1045,f1035,f1034,f933,f922,f1005,f1546,f902,f807,f801,f1558,f732,f731,f1559,f721,f720,f682,f679,f2597,f3000,f2976,f3237,f37,f27,f32,f2882,f2592]) ).
fof(f464,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f48,f454]) ).
fof(f454,plain,
( sk_c8 = sk_c4
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f441,f351]) ).
fof(f441,plain,
( sk_c4 = multiply(sk_c8,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f323,f437]) ).
fof(f3410,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f3409]) ).
fof(f3409,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f517,f30,f15,f20,f10,f25,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f210,f359,f17,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1407,f1398,f1499,f1501,f1502,f1379,f1341,f1335,f1505,f1509,f1214,f1252,f1111,f1104,f1092,f1524,f1529,f1530,f1123,f1046,f1045,f1035,f1034,f933,f922,f1005,f1546,f902,f807,f801,f1558,f732,f731,f1559,f721,f720,f682,f679,f2597,f3000,f2976,f3237,f37,f27,f32,f2882,f2592]) ).
fof(f3408,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f3407]) ).
fof(f3407,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f1436,f30,f15,f20,f10,f25,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f210,f359,f17,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1407,f1398,f1499,f1501,f1502,f1379,f1341,f1335,f1505,f1509,f1214,f1252,f1111,f1104,f1092,f1524,f1529,f1530,f1123,f1046,f1045,f1035,f1034,f933,f922,f1005,f1546,f902,f807,f801,f1558,f732,f731,f1559,f721,f720,f682,f679,f2597,f3000,f2976,f3237,f37,f27,f32,f2882,f2592]) ).
fof(f1436,plain,
( identity = sk_c5
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f1435,f698]) ).
fof(f1435,plain,
( ! [X0] : sk_c5 = multiply(X0,inverse(X0))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f1434,f1]) ).
fof(f1434,plain,
( ! [X0] : sk_c5 = multiply(X0,inverse(multiply(identity,X0)))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f1433,f481]) ).
fof(f1433,plain,
( ! [X0] : sk_c5 = multiply(X0,inverse(multiply(sk_c8,X0)))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f1378,f437]) ).
fof(f3406,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f3405]) ).
fof(f3405,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f454,f30,f15,f20,f10,f25,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f210,f359,f17,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1407,f1398,f1499,f1501,f1502,f1379,f1341,f1335,f1505,f1509,f1214,f1252,f1111,f1104,f1092,f1524,f1529,f1530,f1123,f1046,f1045,f1035,f1034,f933,f922,f1005,f1546,f902,f807,f801,f1558,f732,f731,f1559,f721,f720,f682,f679,f2597,f3000,f2976,f3237,f37,f27,f32,f2882,f2592]) ).
fof(f3404,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f3403]) ).
fof(f3403,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f481,f30,f15,f20,f10,f25,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f210,f359,f17,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1407,f1398,f1499,f1501,f1502,f1379,f1341,f1335,f1505,f1509,f1214,f1252,f1111,f1104,f1092,f1524,f1529,f1530,f1123,f1046,f1045,f1035,f1034,f933,f922,f1005,f1546,f902,f807,f801,f1558,f732,f731,f1559,f721,f720,f682,f679,f2597,f3000,f2976,f3237,f37,f27,f32,f2882,f2592]) ).
fof(f3402,plain,
( spl0_4
| spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f3401]) ).
fof(f3401,plain,
( $false
| spl0_4
| spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(global_subsumption,[],[f368,f30,f15,f20,f10,f25,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f210,f359,f17,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1407,f1398,f1499,f1501,f1502,f1379,f1341,f1335,f1505,f1509,f1214,f1252,f1111,f1104,f1092,f1524,f1529,f1530,f1123,f1046,f1045,f1035,f1034,f933,f922,f1005,f1546,f902,f807,f801,f1558,f732,f731,f1559,f721,f720,f682,f679,f2597,f3000,f2976,f3237,f37,f27,f32,f2882,f2592]) ).
fof(f3400,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f3399]) ).
fof(f3399,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_10 ),
inference(global_subsumption,[],[f30,f15,f20,f10,f25,f35,f1,f2,f5,f48,f50,f3,f67,f64,f213,f233,f216,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f44,f319,f322,f323,f320,f324,f332,f318,f333,f335,f326,f341,f327,f343,f345,f330,f346,f349,f338,f351,f210,f359,f17,f371,f372,f376,f378,f329,f388,f389,f384,f398,f395,f401,f400,f405,f423,f425,f426,f428,f429,f432,f438,f439,f458,f461,f446,f462,f448,f450,f465,f466,f470,f473,f474,f451,f480,f479,f493,f517,f542,f547,f553,f564,f495,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f776,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f897,f1476,f1410,f1409,f1407,f1398,f1497,f1498,f1499,f1501,f1502,f1379,f1503,f1504,f1376,f1341,f1335,f1505,f1356,f1352,f1320,f1319,f1506,f1243,f1223,f1222,f1269,f1508,f1219,f1218,f1509,f1511,f1512,f1214,f1252,f1513,f1114,f1113,f1111,f1104,f1515,f1517,f1519,f1520,f1522,f1523,f1092,f1524,f1529,f1530,f1123,f1046,f1045,f1044,f1043,f1042,f1035,f1034,f1033,f1032,f933,f1538,f1539,f1019,f927,f1540,f923,f922,f1005,f1546,f902,f807,f801,f1552,f1555,f1556,f1557,f1558,f732,f731,f1559,f721,f720,f682,f679,f1562,f1564,f1565,f1566,f1568,f1569,f1570,f1575,f1578,f1580,f1031,f1577,f1571,f1563,f1242,f1951,f1954,f1955,f1956,f1957,f1507,f1978,f1981,f1982,f1983,f1984,f1375,f2138,f2180,f2149,f2199,f2202,f2203,f2166,f2167,f2205,f2170,f2171,f1382,f2214,f2260,f2226,f2287,f2288,f2244,f2245,f2290,f2248,f2249,f2157,f2481,f2494,f2483,f2495,f2496,f2486,f2497,f2488,f2498,f2490,f2491,f2179,f2554,f2560,f2564,f2566,f2259,f2695,f2700,f2704,f2706,f2233,f669,f2707,f37,f1576,f27,f32,f3308,f365,f2596,f377,f659,f1567,f1579,f538,f437,f464,f1436,f454,f481,f368]) ).
fof(f2596,plain,
( identity != sk_c7
| spl0_10 ),
inference(avatar_component_clause,[],[f2595]) ).
fof(f3308,plain,
( sk_c8 = sk_c5
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f782,f405]) ).
fof(f1576,plain,
( sk_c8 = multiply(sk_c7,sk_c7)
| sk_c3 = inverse(sk_c2)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f31,f400]) ).
fof(f669,plain,
( sk_c8 = multiply(sk_c7,sk_c7)
| sk_c7 = multiply(sk_c3,sk_c8)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f36,f326]) ).
fof(f2491,plain,
( ! [X0] : multiply(multiply(X0,multiply(sk_c8,sk_c8)),multiply(sk_c7,sk_c7)) = X0
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f1240,f2157]) ).
fof(f2490,plain,
( ! [X0] : multiply(multiply(X0,multiply(sk_c7,sk_c7)),multiply(sk_c8,sk_c8)) = X0
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f1157,f2157]) ).
fof(f2498,plain,
( ! [X0] : multiply(sk_c7,sk_c7) = multiply(X0,inverse(multiply(sk_c8,multiply(sk_c8,X0))))
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f2489,f3]) ).
fof(f2489,plain,
( ! [X0] : multiply(sk_c7,sk_c7) = multiply(X0,inverse(multiply(multiply(sk_c8,sk_c8),X0)))
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f1069,f2157]) ).
fof(f2488,plain,
( multiply(sk_c7,sk_c7) = inverse(multiply(sk_c8,sk_c8))
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f718,f2157]) ).
fof(f2497,plain,
( ! [X0] : multiply(multiply(sk_c7,sk_c7),multiply(sk_c8,multiply(sk_c8,X0))) = X0
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f2487,f3]) ).
fof(f2487,plain,
( ! [X0] : multiply(multiply(sk_c7,sk_c7),multiply(multiply(sk_c8,sk_c8),X0)) = X0
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f701,f2157]) ).
fof(f2486,plain,
( identity = multiply(multiply(sk_c7,sk_c7),multiply(sk_c8,sk_c8))
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f698,f2157]) ).
fof(f2496,plain,
( identity = multiply(multiply(sk_c8,sk_c8),multiply(sk_c7,sk_c7))
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f2485,f718]) ).
fof(f2485,plain,
( identity = multiply(inverse(inverse(multiply(sk_c8,sk_c8))),multiply(sk_c7,sk_c7))
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f628,f2157]) ).
fof(f2495,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c7,X0)) = multiply(inverse(multiply(sk_c8,sk_c8)),X0)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f2484,f3]) ).
fof(f2484,plain,
( ! [X0] : multiply(multiply(sk_c7,sk_c7),X0) = multiply(inverse(multiply(sk_c8,sk_c8)),X0)
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f221,f2157]) ).
fof(f2483,plain,
( multiply(sk_c7,sk_c7) = multiply(inverse(multiply(sk_c8,sk_c8)),identity)
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f211,f2157]) ).
fof(f2494,plain,
( ! [X0] : multiply(multiply(sk_c8,sk_c8),multiply(sk_c7,multiply(sk_c7,X0))) = X0
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f2482,f3]) ).
fof(f2482,plain,
( ! [X0] : multiply(multiply(sk_c8,sk_c8),multiply(multiply(sk_c7,sk_c7),X0)) = X0
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f64,f2157]) ).
fof(f2481,plain,
( identity = multiply(multiply(sk_c8,sk_c8),multiply(sk_c7,sk_c7))
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f2,f2157]) ).
fof(f2290,plain,
( ! [X0] : multiply(inverse(multiply(sk_c8,inverse(X0))),sk_c8) = X0
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f2247,f405]) ).
fof(f2288,plain,
( ! [X0] : identity = multiply(X0,multiply(inverse(multiply(sk_c8,X0)),sk_c8))
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f2243,f405]) ).
fof(f2287,plain,
( ! [X0] : inverse(X0) = multiply(inverse(multiply(sk_c8,X0)),sk_c8)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f2242,f405]) ).
fof(f2260,plain,
( sk_c7 = multiply(inverse(multiply(sk_c8,sk_c8)),sk_c8)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f2215,f405]) ).
fof(f2199,plain,
( multiply(sk_c8,sk_c8) = inverse(multiply(sk_c7,sk_c7))
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f2159,f400]) ).
fof(f2159,plain,
( multiply(sk_c8,sk_c8) = inverse(multiply(sk_c7,sk_c4))
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f67,f1375]) ).
fof(f1984,plain,
( ! [X0,X1] : multiply(X0,X1) = multiply(multiply(X0,sk_c7),multiply(sk_c8,X1))
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f3,f1507]) ).
fof(f1983,plain,
( ! [X0] : sk_c8 = multiply(inverse(multiply(X0,sk_c7)),X0)
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f64,f1507]) ).
fof(f1982,plain,
( ! [X0] : identity = multiply(multiply(X0,sk_c7),multiply(sk_c8,inverse(X0)))
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f806,f1507]) ).
fof(f1981,plain,
( ! [X0] : inverse(multiply(X0,sk_c7)) = multiply(sk_c8,inverse(X0))
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f1065,f1507]) ).
fof(f1978,plain,
( ! [X0,X1] : multiply(X0,X1) = multiply(multiply(X0,multiply(X1,sk_c7)),sk_c8)
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f1507,f3]) ).
fof(f1507,plain,
( ! [X0] : multiply(multiply(X0,sk_c7),sk_c8) = X0
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1244,f400]) ).
fof(f1244,plain,
( ! [X0] : multiply(multiply(X0,sk_c4),sk_c8) = X0
| ~ spl0_2 ),
inference(superposition,[],[f1157,f48]) ).
fof(f1019,plain,
( identity = multiply(sk_c8,multiply(sk_c7,inverse(identity)))
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f929,f326]) ).
fof(f929,plain,
( identity = multiply(sk_c8,multiply(sk_c4,inverse(identity)))
| ~ spl0_2 ),
inference(superposition,[],[f806,f50]) ).
fof(f1539,plain,
( identity = multiply(sk_c8,multiply(sk_c7,inverse(identity)))
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1021,f405]) ).
fof(f1021,plain,
( identity = multiply(inverse(sk_c7),multiply(sk_c7,inverse(identity)))
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f930,f326]) ).
fof(f930,plain,
( identity = multiply(inverse(sk_c7),multiply(sk_c4,inverse(identity)))
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f806,f324]) ).
fof(f1032,plain,
( identity = inverse(identity)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f939,f384]) ).
fof(f939,plain,
( identity = inverse(multiply(sk_c8,sk_c7))
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f806,f338]) ).
fof(f1042,plain,
( identity = inverse(identity)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f949,f50]) ).
fof(f949,plain,
( identity = inverse(multiply(sk_c8,sk_c4))
| ~ spl0_2 ),
inference(superposition,[],[f67,f806]) ).
fof(f1043,plain,
( identity = inverse(identity)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f950,f384]) ).
fof(f950,plain,
( identity = inverse(multiply(sk_c8,sk_c7))
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f338,f806]) ).
fof(f1523,plain,
( sk_c8 = multiply(sk_c8,inverse(identity))
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1094,f405]) ).
fof(f1522,plain,
( sk_c8 = multiply(sk_c8,inverse(identity))
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1521,f405]) ).
fof(f1519,plain,
( sk_c7 = multiply(sk_c7,inverse(identity))
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1518,f44]) ).
fof(f1518,plain,
( inverse(sk_c8) = multiply(sk_c7,inverse(identity))
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1100,f400]) ).
fof(f1100,plain,
( inverse(sk_c8) = multiply(sk_c4,inverse(identity))
| ~ spl0_2 ),
inference(superposition,[],[f1065,f50]) ).
fof(f1517,plain,
( sk_c7 = multiply(sk_c7,inverse(identity))
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1516,f718]) ).
fof(f1516,plain,
( inverse(inverse(sk_c7)) = multiply(sk_c7,inverse(identity))
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1101,f400]) ).
fof(f1101,plain,
( inverse(inverse(sk_c7)) = multiply(sk_c4,inverse(identity))
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f1065,f324]) ).
fof(f1515,plain,
( sk_c8 = multiply(sk_c8,inverse(identity))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f1514,f405]) ).
fof(f1514,plain,
( inverse(sk_c7) = multiply(sk_c8,inverse(identity))
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f1102,f377]) ).
fof(f1102,plain,
( inverse(sk_c7) = multiply(sk_c5,inverse(identity))
| ~ spl0_3 ),
inference(superposition,[],[f1065,f372]) ).
fof(f1114,plain,
( ! [X0] : inverse(multiply(X0,sk_c7)) = multiply(sk_c8,inverse(X0))
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f338,f1065]) ).
fof(f1513,plain,
( ! [X0] : inverse(multiply(X0,sk_c7)) = multiply(sk_c8,inverse(X0))
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1116,f400]) ).
fof(f1116,plain,
( ! [X0] : inverse(multiply(X0,sk_c4)) = multiply(sk_c8,inverse(X0))
| ~ spl0_2 ),
inference(superposition,[],[f67,f1065]) ).
fof(f1512,plain,
( sk_c8 = multiply(sk_c8,inverse(identity))
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1215,f405]) ).
fof(f1511,plain,
( sk_c7 = multiply(sk_c7,inverse(identity))
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1510,f718]) ).
fof(f1510,plain,
( inverse(inverse(sk_c7)) = multiply(sk_c7,inverse(identity))
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1216,f400]) ).
fof(f1216,plain,
( inverse(inverse(sk_c7)) = multiply(sk_c4,inverse(identity))
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f1157,f330]) ).
fof(f1218,plain,
( sk_c8 = multiply(sk_c8,inverse(identity))
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f1157,f351]) ).
fof(f1508,plain,
( sk_c7 = multiply(sk_c7,inverse(identity))
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1220,f400]) ).
fof(f1220,plain,
( sk_c7 = multiply(sk_c4,inverse(identity))
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f1157,f323]) ).
fof(f1269,plain,
( ! [X0] : sk_c8 = multiply(X0,inverse(multiply(sk_c7,X0)))
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1221,f326]) ).
fof(f1221,plain,
( ! [X0] : sk_c8 = multiply(X0,inverse(multiply(sk_c4,X0)))
| ~ spl0_2 ),
inference(superposition,[],[f1157,f67]) ).
fof(f1222,plain,
( ! [X0] : sk_c8 = multiply(X0,inverse(multiply(sk_c7,X0)))
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f1157,f338]) ).
fof(f1243,plain,
( ! [X0] : multiply(multiply(X0,sk_c7),sk_c8) = X0
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f1157,f405]) ).
fof(f1320,plain,
( ! [X0] : multiply(multiply(X0,sk_c8),sk_c7) = X0
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f1240,f405]) ).
fof(f1352,plain,
( ! [X0] : multiply(multiply(X0,sk_c8),sk_c7) = X0
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1321,f400]) ).
fof(f1321,plain,
( ! [X0] : multiply(multiply(X0,sk_c8),sk_c4) = X0
| ~ spl0_2 ),
inference(superposition,[],[f1240,f48]) ).
fof(f1376,plain,
( ! [X0] : sk_c7 = multiply(X0,inverse(multiply(sk_c8,X0)))
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f1069,f405]) ).
fof(f1504,plain,
( ! [X0] : sk_c7 = multiply(X0,inverse(multiply(sk_c8,X0)))
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1377,f400]) ).
fof(f1377,plain,
( ! [X0] : sk_c4 = multiply(X0,inverse(multiply(sk_c8,X0)))
| ~ spl0_2 ),
inference(superposition,[],[f1069,f48]) ).
fof(f1498,plain,
( sk_c8 = multiply(sk_c8,inverse(identity))
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1394,f405]) ).
fof(f1497,plain,
( sk_c7 = multiply(sk_c7,inverse(identity))
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1395,f400]) ).
fof(f1395,plain,
( sk_c7 = multiply(sk_c4,inverse(identity))
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f1069,f324]) ).
fof(f1410,plain,
( ! [X0] : multiply(sk_c8,X0) = inverse(multiply(inverse(X0),sk_c7))
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f338,f1069]) ).
fof(f1476,plain,
( ! [X0] : multiply(sk_c8,X0) = inverse(multiply(inverse(X0),sk_c7))
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1412,f400]) ).
fof(f1412,plain,
( ! [X0] : multiply(sk_c8,X0) = inverse(multiply(inverse(X0),sk_c4))
| ~ spl0_2 ),
inference(superposition,[],[f67,f1069]) ).
fof(f897,plain,
( ! [X3,X6,X7,X4] :
( identity != multiply(inverse(X4),identity)
| identity != multiply(X7,identity)
| identity != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != inverse(X7)
| identity != inverse(X6)
| identity != inverse(X3) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(subsumption_resolution,[],[f776,f698]) ).
fof(f776,plain,
( ! [X3,X6,X7,X4] :
( identity != multiply(X4,inverse(X4))
| identity != multiply(inverse(X4),identity)
| identity != multiply(X7,identity)
| identity != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != inverse(X7)
| identity != inverse(X6)
| identity != inverse(X3) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(subsumption_resolution,[],[f775,f319]) ).
fof(f775,plain,
( ! [X3,X6,X7,X4] :
( identity != multiply(sk_c7,sk_c8)
| identity != multiply(X4,inverse(X4))
| identity != multiply(inverse(X4),identity)
| identity != multiply(X7,identity)
| identity != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != inverse(X7)
| identity != inverse(X6)
| identity != inverse(X3) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f774,f423]) ).
fof(f774,plain,
( ! [X3,X6,X7,X4] :
( identity != multiply(X4,inverse(X4))
| identity != multiply(inverse(X4),identity)
| identity != multiply(X7,identity)
| identity != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != inverse(X7)
| identity != inverse(X6)
| identity != inverse(X3)
| multiply(sk_c7,sk_c8) != sk_c6 )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f773,f481]) ).
fof(f773,plain,
( ! [X3,X6,X7,X4] :
( sk_c8 != multiply(X4,inverse(X4))
| identity != multiply(inverse(X4),identity)
| identity != multiply(X7,identity)
| identity != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != inverse(X7)
| identity != inverse(X6)
| identity != inverse(X3)
| multiply(sk_c7,sk_c8) != sk_c6 )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f772,f437]) ).
fof(f772,plain,
( ! [X3,X6,X7,X4] :
( identity != multiply(inverse(X4),identity)
| identity != multiply(X7,identity)
| identity != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != inverse(X7)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c7 != multiply(X4,inverse(X4))
| multiply(sk_c7,sk_c8) != sk_c6 )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f771,f481]) ).
fof(f771,plain,
( ! [X3,X6,X7,X4] :
( sk_c8 != multiply(inverse(X4),identity)
| identity != multiply(X7,identity)
| identity != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != inverse(X7)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c7 != multiply(X4,inverse(X4))
| multiply(sk_c7,sk_c8) != sk_c6 )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f770,f437]) ).
fof(f770,plain,
( ! [X3,X6,X7,X4] :
( sk_c7 != multiply(inverse(X4),identity)
| identity != multiply(X7,identity)
| identity != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != inverse(X7)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c7 != multiply(X4,inverse(X4))
| multiply(sk_c7,sk_c8) != sk_c6 )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f769,f481]) ).
fof(f769,plain,
( ! [X3,X6,X7,X4] :
( identity != multiply(X7,identity)
| identity != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != inverse(X7)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c7 != multiply(inverse(X4),sk_c8)
| sk_c7 != multiply(X4,inverse(X4))
| multiply(sk_c7,sk_c8) != sk_c6 )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f768,f481]) ).
fof(f768,plain,
( ! [X3,X6,X7,X4] :
( sk_c8 != multiply(X7,identity)
| identity != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != inverse(X7)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c7 != multiply(inverse(X4),sk_c8)
| sk_c7 != multiply(X4,inverse(X4))
| multiply(sk_c7,sk_c8) != sk_c6 )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f767,f437]) ).
fof(f767,plain,
( ! [X3,X6,X7,X4] :
( sk_c7 != multiply(X7,identity)
| identity != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != inverse(X7)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c7 != multiply(inverse(X4),sk_c8)
| sk_c7 != multiply(X4,inverse(X4))
| multiply(sk_c7,sk_c8) != sk_c6 )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f766,f423]) ).
fof(f766,plain,
( ! [X3,X6,X7,X4] :
( identity != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != inverse(X7)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c7 != multiply(X7,sk_c6)
| sk_c7 != multiply(inverse(X4),sk_c8)
| sk_c7 != multiply(X4,inverse(X4))
| multiply(sk_c7,sk_c8) != sk_c6 )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f765,f481]) ).
fof(f765,plain,
( ! [X3,X6,X7,X4] :
( sk_c8 != multiply(X3,sk_c8)
| identity != multiply(X6,identity)
| identity != inverse(X7)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c7 != multiply(X7,sk_c6)
| sk_c7 != multiply(inverse(X4),sk_c8)
| sk_c7 != multiply(X4,inverse(X4))
| multiply(sk_c7,sk_c8) != sk_c6 )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f764,f437]) ).
fof(f764,plain,
( ! [X3,X6,X7,X4] :
( identity != multiply(X6,identity)
| identity != inverse(X7)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != multiply(X7,sk_c6)
| sk_c7 != multiply(inverse(X4),sk_c8)
| sk_c7 != multiply(X4,inverse(X4))
| multiply(sk_c7,sk_c8) != sk_c6 )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f763,f481]) ).
fof(f763,plain,
( ! [X3,X6,X7,X4] :
( sk_c8 != multiply(X6,sk_c8)
| identity != inverse(X7)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != multiply(X7,sk_c6)
| sk_c7 != multiply(inverse(X4),sk_c8)
| sk_c7 != multiply(X4,inverse(X4))
| multiply(sk_c7,sk_c8) != sk_c6 )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f762,f437]) ).
fof(f762,plain,
( ! [X3,X6,X7,X4] :
( identity != inverse(X7)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != multiply(X7,sk_c6)
| sk_c7 != multiply(inverse(X4),sk_c8)
| sk_c7 != multiply(X4,inverse(X4))
| multiply(sk_c7,sk_c8) != sk_c6 )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(subsumption_resolution,[],[f761,f454]) ).
fof(f761,plain,
( ! [X3,X6,X7,X4] :
( sk_c8 != sk_c4
| identity != inverse(X7)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != multiply(X7,sk_c6)
| sk_c7 != multiply(inverse(X4),sk_c8)
| sk_c7 != multiply(X4,inverse(X4))
| multiply(sk_c7,sk_c8) != sk_c6 )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f760,f323]) ).
fof(f760,plain,
( ! [X3,X6,X7,X4] :
( sk_c8 != multiply(sk_c7,identity)
| identity != inverse(X7)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != multiply(X7,sk_c6)
| sk_c7 != multiply(inverse(X4),sk_c8)
| sk_c7 != multiply(X4,inverse(X4))
| multiply(sk_c7,sk_c8) != sk_c6 )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f759,f423]) ).
fof(f759,plain,
( ! [X3,X6,X7,X4] :
( identity != inverse(X7)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c8 != multiply(sk_c7,sk_c6)
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != multiply(X7,sk_c6)
| sk_c7 != multiply(inverse(X4),sk_c8)
| sk_c7 != multiply(X4,inverse(X4))
| multiply(sk_c7,sk_c8) != sk_c6 )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f758,f481]) ).
fof(f758,plain,
( ! [X3,X6,X7,X4] :
( sk_c8 != inverse(X7)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c8 != multiply(sk_c7,sk_c6)
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != multiply(X7,sk_c6)
| sk_c7 != multiply(inverse(X4),sk_c8)
| sk_c7 != multiply(X4,inverse(X4))
| multiply(sk_c7,sk_c8) != sk_c6 )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f757,f437]) ).
fof(f757,plain,
( ! [X3,X6,X7,X4] :
( identity != inverse(X6)
| identity != inverse(X3)
| sk_c7 != inverse(X7)
| sk_c8 != multiply(sk_c7,sk_c6)
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != multiply(X7,sk_c6)
| sk_c7 != multiply(inverse(X4),sk_c8)
| sk_c7 != multiply(X4,inverse(X4))
| multiply(sk_c7,sk_c8) != sk_c6 )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f756,f481]) ).
fof(f756,plain,
( ! [X3,X6,X7,X4] :
( identity != inverse(X3)
| sk_c8 != inverse(X6)
| sk_c7 != inverse(X7)
| sk_c8 != multiply(sk_c7,sk_c6)
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != multiply(X7,sk_c6)
| sk_c7 != multiply(inverse(X4),sk_c8)
| sk_c7 != multiply(X4,inverse(X4))
| multiply(sk_c7,sk_c8) != sk_c6 )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f755,f481]) ).
fof(f495,plain,
( identity = inverse(identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f494,f481]) ).
fof(f494,plain,
( sk_c8 = inverse(identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f482,f437]) ).
fof(f482,plain,
( sk_c7 = inverse(identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f44,f481]) ).
fof(f564,plain,
( identity = inverse(identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f557,f481]) ).
fof(f557,plain,
( sk_c8 = inverse(identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f48,f538]) ).
fof(f553,plain,
( identity = inverse(identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f531,f481]) ).
fof(f531,plain,
( sk_c8 = inverse(identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f405,f517]) ).
fof(f547,plain,
( identity = multiply(inverse(inverse(identity)),identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f546,f481]) ).
fof(f546,plain,
( sk_c8 = multiply(inverse(inverse(identity)),identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f545,f437]) ).
fof(f545,plain,
( sk_c7 = multiply(inverse(inverse(identity)),identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f526,f400]) ).
fof(f526,plain,
( sk_c4 = multiply(inverse(inverse(identity)),identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f330,f517]) ).
fof(f542,plain,
( identity = multiply(inverse(inverse(identity)),identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f524,f481]) ).
fof(f524,plain,
( identity = multiply(inverse(inverse(identity)),sk_c8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f327,f517]) ).
fof(f493,plain,
( identity = inverse(identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f464,f481]) ).
fof(f479,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c8,X0))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f3,f451]) ).
fof(f480,plain,
( identity = sk_c8
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f477,f319]) ).
fof(f477,plain,
( sk_c8 = multiply(sk_c7,sk_c8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f318,f451]) ).
fof(f474,plain,
( identity = multiply(sk_c8,sk_c8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f2,f464]) ).
fof(f473,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c8,X0)) = X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f64,f464]) ).
fof(f470,plain,
( identity = multiply(sk_c8,sk_c8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f467,f405]) ).
fof(f467,plain,
( identity = multiply(inverse(sk_c7),sk_c8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f324,f454]) ).
fof(f466,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c8,X0)) = X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f67,f454]) ).
fof(f465,plain,
( identity = multiply(sk_c8,sk_c8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f50,f454]) ).
fof(f450,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f405,f437]) ).
fof(f448,plain,
( identity = multiply(sk_c8,sk_c8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f384,f437]) ).
fof(f462,plain,
( identity = multiply(sk_c8,sk_c8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f447,f377]) ).
fof(f447,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f372,f437]) ).
fof(f446,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c8,X0)) = X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f338,f437]) ).
fof(f461,plain,
( sk_c8 = sk_c4
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f460,f320]) ).
fof(f460,plain,
( sk_c4 = multiply(inverse(sk_c7),identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f445,f44]) ).
fof(f445,plain,
( sk_c4 = multiply(inverse(inverse(sk_c8)),identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f330,f437]) ).
fof(f458,plain,
( identity = multiply(sk_c8,sk_c8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f457,f405]) ).
fof(f457,plain,
( identity = multiply(inverse(sk_c7),sk_c8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f443,f44]) ).
fof(f443,plain,
( identity = multiply(inverse(inverse(sk_c8)),sk_c8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f327,f437]) ).
fof(f439,plain,
( identity = multiply(sk_c8,sk_c8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f319,f437]) ).
fof(f438,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c8,X0)) = X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f318,f437]) ).
fof(f432,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c8,X0))
| ~ spl0_1
| ~ spl0_2
| spl0_4 ),
inference(superposition,[],[f3,f429]) ).
fof(f428,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c7,multiply(sk_c7,X0))
| ~ spl0_1
| ~ spl0_2
| spl0_4 ),
inference(superposition,[],[f3,f425]) ).
fof(f426,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl0_1
| ~ spl0_2
| spl0_4 ),
inference(superposition,[],[f338,f425]) ).
fof(f401,plain,
( sk_c7 = sk_c4
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f323,f395]) ).
fof(f376,plain,
( sk_c8 = sk_c5
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f373,f351]) ).
fof(f373,plain,
( sk_c5 = multiply(sk_c8,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f338,f372]) ).
fof(f349,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(inverse(inverse(sk_c7)),X0)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f348,f326]) ).
fof(f348,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(inverse(sk_c7)),X0)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f347,f1]) ).
fof(f347,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(inverse(sk_c7)),multiply(identity,X0))
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f3,f330]) ).
fof(f346,plain,
( identity = multiply(inverse(inverse(inverse(sk_c7))),sk_c4)
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f64,f330]) ).
fof(f341,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f339,f48]) ).
fof(f339,plain,
( ! [X0] : multiply(inverse(sk_c4),multiply(sk_c7,X0)) = X0
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f64,f326]) ).
fof(f333,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c4,X0)
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f318,f67]) ).
fof(f332,plain,
( ! [X0] : multiply(inverse(sk_c7),multiply(sk_c4,X0)) = X0
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f331,f1]) ).
fof(f331,plain,
( ! [X0] : multiply(identity,X0) = multiply(inverse(sk_c7),multiply(sk_c4,X0))
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f3,f324]) ).
fof(f216,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c8),X0)
| ~ spl0_2 ),
inference(superposition,[],[f64,f67]) ).
fof(f3398,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f3397]) ).
fof(f3397,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_10 ),
inference(global_subsumption,[],[f30,f15,f20,f10,f25,f35,f1,f2,f5,f48,f50,f3,f67,f64,f213,f233,f216,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f44,f319,f322,f323,f320,f324,f332,f318,f333,f335,f326,f341,f327,f343,f345,f330,f346,f349,f338,f351,f210,f359,f17,f371,f368,f372,f376,f378,f329,f388,f389,f384,f398,f395,f401,f400,f405,f423,f425,f426,f428,f429,f432,f438,f439,f458,f461,f446,f462,f448,f450,f465,f466,f470,f473,f474,f451,f480,f479,f493,f517,f542,f547,f553,f564,f495,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f776,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f897,f1476,f1410,f1409,f1407,f1398,f1497,f1498,f1499,f1501,f1502,f1379,f1503,f1504,f1376,f1341,f1335,f1505,f1356,f1352,f1320,f1319,f1506,f1243,f1223,f1222,f1269,f1508,f1219,f1218,f1509,f1511,f1512,f1214,f1252,f1513,f1114,f1113,f1111,f1104,f1515,f1517,f1519,f1520,f1522,f1523,f1092,f1524,f1529,f1530,f1123,f1046,f1045,f1044,f1043,f1042,f1035,f1034,f1033,f1032,f933,f1538,f1539,f1019,f927,f1540,f923,f922,f1005,f1546,f902,f807,f801,f1552,f1555,f1556,f1557,f1558,f732,f731,f1559,f721,f720,f682,f679,f1562,f1564,f1565,f1566,f1568,f1569,f1570,f1575,f1578,f1580,f1031,f1577,f1571,f1563,f1242,f1951,f1954,f1955,f1956,f1957,f1507,f1978,f1981,f1982,f1983,f1984,f1375,f2138,f2180,f2149,f2199,f2202,f2203,f2166,f2167,f2205,f2170,f2171,f1382,f2214,f2260,f2226,f2287,f2288,f2244,f2245,f2290,f2248,f2249,f2157,f2481,f2494,f2483,f2495,f2496,f2486,f2497,f2488,f2498,f2490,f2491,f2179,f2554,f2560,f2564,f2566,f2259,f2695,f2700,f2704,f2706,f2233,f669,f2707,f37,f1576,f27,f32,f3308,f365,f2596,f377,f659,f1567,f1579,f538,f437,f464,f1436,f454,f481]) ).
fof(f3396,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f3395]) ).
fof(f3395,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_10 ),
inference(global_subsumption,[],[f30,f15,f20,f10,f25,f35,f1,f2,f5,f48,f50,f3,f67,f64,f213,f233,f216,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f44,f319,f322,f323,f320,f324,f332,f318,f333,f335,f326,f341,f327,f343,f345,f330,f346,f349,f338,f351,f210,f359,f17,f371,f368,f372,f376,f378,f329,f388,f389,f384,f398,f395,f401,f400,f405,f423,f425,f426,f428,f429,f432,f438,f439,f458,f461,f446,f462,f448,f450,f465,f466,f470,f473,f474,f451,f480,f479,f481,f493,f517,f542,f547,f553,f564,f495,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f776,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f897,f1476,f1410,f1409,f1407,f1398,f1497,f1498,f1499,f1501,f1502,f1379,f1503,f1504,f1376,f1341,f1335,f1505,f1356,f1352,f1320,f1319,f1506,f1243,f1223,f1222,f1269,f1508,f1219,f1218,f1509,f1511,f1512,f1214,f1252,f1513,f1114,f1113,f1111,f1104,f1515,f1517,f1519,f1520,f1522,f1523,f1092,f1524,f1529,f1530,f1123,f1046,f1045,f1044,f1043,f1042,f1035,f1034,f1033,f1032,f933,f1538,f1539,f1019,f927,f1540,f923,f922,f1005,f1546,f902,f807,f801,f1552,f1555,f1556,f1557,f1558,f732,f731,f1559,f721,f720,f682,f679,f1562,f1564,f1565,f1566,f1568,f1569,f1570,f1575,f1578,f1580,f1031,f1577,f1571,f1563,f1242,f1951,f1954,f1955,f1956,f1957,f1507,f1978,f1981,f1982,f1983,f1984,f1375,f2138,f2180,f2149,f2199,f2202,f2203,f2166,f2167,f2205,f2170,f2171,f1382,f2214,f2260,f2226,f2287,f2288,f2244,f2245,f2290,f2248,f2249,f2157,f2481,f2494,f2483,f2495,f2496,f2486,f2497,f2488,f2498,f2490,f2491,f2179,f2554,f2560,f2564,f2566,f2259,f2695,f2700,f2704,f2706,f2233,f669,f2707,f37,f1576,f27,f32,f3308,f365,f2596,f377,f659,f1567,f1579,f538,f437,f464,f1436,f454]) ).
fof(f3394,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f3393]) ).
fof(f3393,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_10 ),
inference(global_subsumption,[],[f30,f15,f20,f10,f25,f35,f1,f2,f5,f48,f50,f3,f67,f64,f213,f233,f216,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f44,f319,f322,f323,f320,f324,f332,f318,f333,f335,f326,f341,f327,f343,f345,f330,f346,f349,f338,f351,f210,f359,f17,f371,f368,f372,f376,f378,f329,f388,f389,f384,f398,f395,f401,f400,f405,f423,f425,f426,f428,f429,f432,f438,f439,f458,f461,f446,f462,f448,f450,f454,f465,f466,f470,f473,f474,f451,f480,f479,f481,f493,f517,f542,f547,f553,f564,f495,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f776,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f897,f1476,f1410,f1409,f1407,f1398,f1497,f1498,f1499,f1501,f1502,f1379,f1503,f1504,f1376,f1341,f1335,f1505,f1356,f1352,f1320,f1319,f1506,f1243,f1223,f1222,f1269,f1508,f1219,f1218,f1509,f1511,f1512,f1214,f1252,f1513,f1114,f1113,f1111,f1104,f1515,f1517,f1519,f1520,f1522,f1523,f1092,f1524,f1529,f1530,f1123,f1046,f1045,f1044,f1043,f1042,f1035,f1034,f1033,f1032,f933,f1538,f1539,f1019,f927,f1540,f923,f922,f1005,f1546,f902,f807,f801,f1552,f1555,f1556,f1557,f1558,f732,f731,f1559,f721,f720,f682,f679,f1562,f1564,f1565,f1566,f1568,f1569,f1570,f1575,f1578,f1580,f1031,f1577,f1571,f1563,f1242,f1951,f1954,f1955,f1956,f1957,f1507,f1978,f1981,f1982,f1983,f1984,f1375,f2138,f2180,f2149,f2199,f2202,f2203,f2166,f2167,f2205,f2170,f2171,f1382,f2214,f2260,f2226,f2287,f2288,f2244,f2245,f2290,f2248,f2249,f2157,f2481,f2494,f2483,f2495,f2496,f2486,f2497,f2488,f2498,f2490,f2491,f2179,f2554,f2560,f2564,f2566,f2259,f2695,f2700,f2704,f2706,f2233,f669,f2707,f37,f1576,f27,f32,f3308,f365,f2596,f377,f659,f1567,f1579,f538,f437,f464,f1436]) ).
fof(f3392,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f3391]) ).
fof(f3391,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_10 ),
inference(subsumption_resolution,[],[f517,f2596]) ).
fof(f3390,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f3389]) ).
fof(f3389,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_10 ),
inference(global_subsumption,[],[f30,f15,f20,f10,f25,f35,f1,f2,f5,f48,f50,f3,f67,f64,f213,f233,f216,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f44,f319,f322,f323,f320,f324,f332,f318,f333,f335,f326,f341,f327,f343,f345,f330,f346,f349,f338,f351,f210,f359,f17,f371,f368,f372,f376,f378,f329,f388,f389,f384,f398,f395,f401,f400,f405,f423,f425,f426,f428,f429,f432,f438,f439,f458,f461,f446,f462,f448,f450,f454,f465,f466,f470,f473,f474,f451,f480,f479,f481,f493,f517,f542,f547,f553,f564,f495,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f776,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1436,f897,f1476,f1410,f1409,f1407,f1398,f1497,f1498,f1499,f1501,f1502,f1379,f1503,f1504,f1376,f1341,f1335,f1505,f1356,f1352,f1320,f1319,f1506,f1243,f1223,f1222,f1269,f1508,f1219,f1218,f1509,f1511,f1512,f1214,f1252,f1513,f1114,f1113,f1111,f1104,f1515,f1517,f1519,f1520,f1522,f1523,f1092,f1524,f1529,f1530,f1123,f1046,f1045,f1044,f1043,f1042,f1035,f1034,f1033,f1032,f933,f1538,f1539,f1019,f927,f1540,f923,f922,f1005,f1546,f902,f807,f801,f1552,f1555,f1556,f1557,f1558,f732,f731,f1559,f721,f720,f682,f679,f1562,f1564,f1565,f1566,f1568,f1569,f1570,f1575,f1578,f1580,f1031,f1577,f1571,f1563,f1242,f1951,f1954,f1955,f1956,f1957,f1507,f1978,f1981,f1982,f1983,f1984,f1375,f2138,f2180,f2149,f2199,f2202,f2203,f2166,f2167,f2205,f2170,f2171,f1382,f2214,f2260,f2226,f2287,f2288,f2244,f2245,f2290,f2248,f2249,f2157,f2481,f2494,f2483,f2495,f2496,f2486,f2497,f2488,f2498,f2490,f2491,f2179,f2554,f2560,f2564,f2566,f2259,f2695,f2700,f2704,f2706,f2233,f669,f2707,f37,f1576,f27,f32,f3308,f365,f2596,f377,f659,f1567,f1579,f538,f437,f464]) ).
fof(f3388,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f3387]) ).
fof(f3387,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_10 ),
inference(global_subsumption,[],[f30,f15,f20,f10,f25,f35,f1,f2,f5,f48,f50,f3,f67,f64,f213,f233,f216,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f44,f319,f322,f323,f320,f324,f332,f318,f333,f335,f326,f341,f327,f343,f345,f330,f346,f349,f338,f351,f210,f359,f17,f371,f368,f372,f376,f378,f329,f388,f389,f384,f398,f395,f401,f400,f405,f423,f425,f426,f428,f429,f432,f438,f439,f458,f461,f446,f462,f448,f450,f454,f465,f466,f470,f464,f473,f474,f451,f480,f479,f481,f493,f517,f542,f547,f553,f564,f495,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f776,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1436,f897,f1476,f1410,f1409,f1407,f1398,f1497,f1498,f1499,f1501,f1502,f1379,f1503,f1504,f1376,f1341,f1335,f1505,f1356,f1352,f1320,f1319,f1506,f1243,f1223,f1222,f1269,f1508,f1219,f1218,f1509,f1511,f1512,f1214,f1252,f1513,f1114,f1113,f1111,f1104,f1515,f1517,f1519,f1520,f1522,f1523,f1092,f1524,f1529,f1530,f1123,f1046,f1045,f1044,f1043,f1042,f1035,f1034,f1033,f1032,f933,f1538,f1539,f1019,f927,f1540,f923,f922,f1005,f1546,f902,f807,f801,f1552,f1555,f1556,f1557,f1558,f732,f731,f1559,f721,f720,f682,f679,f1562,f1564,f1565,f1566,f1568,f1569,f1570,f1575,f1578,f1580,f1031,f1577,f1571,f1563,f1242,f1951,f1954,f1955,f1956,f1957,f1507,f1978,f1981,f1982,f1983,f1984,f1375,f2138,f2180,f2149,f2199,f2202,f2203,f2166,f2167,f2205,f2170,f2171,f1382,f2214,f2260,f2226,f2287,f2288,f2244,f2245,f2290,f2248,f2249,f2157,f2481,f2494,f2483,f2495,f2496,f2486,f2497,f2488,f2498,f2490,f2491,f2179,f2554,f2560,f2564,f2566,f2259,f2695,f2700,f2704,f2706,f2233,f669,f2707,f37,f1576,f27,f32,f3308,f365,f2596,f377,f659,f1567,f1579,f538,f437]) ).
fof(f3386,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f3385]) ).
fof(f3385,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_10 ),
inference(global_subsumption,[],[f30,f15,f20,f10,f25,f35,f1,f2,f5,f48,f50,f3,f67,f64,f213,f233,f216,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f44,f319,f322,f323,f320,f324,f332,f318,f333,f335,f326,f341,f327,f343,f345,f330,f346,f349,f338,f351,f210,f359,f17,f371,f368,f372,f376,f378,f329,f388,f389,f384,f398,f395,f401,f400,f405,f423,f425,f426,f428,f429,f432,f437,f438,f439,f458,f461,f446,f462,f448,f450,f454,f465,f466,f470,f464,f473,f474,f451,f480,f479,f481,f493,f517,f542,f547,f553,f564,f495,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f776,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1436,f897,f1476,f1410,f1409,f1407,f1398,f1497,f1498,f1499,f1501,f1502,f1379,f1503,f1504,f1376,f1341,f1335,f1505,f1356,f1352,f1320,f1319,f1506,f1243,f1223,f1222,f1269,f1508,f1219,f1218,f1509,f1511,f1512,f1214,f1252,f1513,f1114,f1113,f1111,f1104,f1515,f1517,f1519,f1520,f1522,f1523,f1092,f1524,f1529,f1530,f1123,f1046,f1045,f1044,f1043,f1042,f1035,f1034,f1033,f1032,f933,f1538,f1539,f1019,f927,f1540,f923,f922,f1005,f1546,f902,f807,f801,f1552,f1555,f1556,f1557,f1558,f732,f731,f1559,f721,f720,f682,f679,f1562,f1564,f1565,f1566,f1568,f1569,f1570,f1575,f1578,f1580,f1031,f1577,f1571,f1563,f1242,f1951,f1954,f1955,f1956,f1957,f1507,f1978,f1981,f1982,f1983,f1984,f1375,f2138,f2180,f2149,f2199,f2202,f2203,f2166,f2167,f2205,f2170,f2171,f1382,f2214,f2260,f2226,f2287,f2288,f2244,f2245,f2290,f2248,f2249,f2157,f2481,f2494,f2483,f2495,f2496,f2486,f2497,f2488,f2498,f2490,f2491,f2179,f2554,f2560,f2564,f2566,f2259,f2695,f2700,f2704,f2706,f2233,f669,f2707,f37,f1576,f27,f32,f3308,f365,f2596,f377,f659,f1567,f1579,f538]) ).
fof(f3384,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_5
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f3383]) ).
fof(f3383,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_5
| spl0_10 ),
inference(global_subsumption,[],[f1492,f30,f15,f20,f10,f25,f35,f1,f2,f5,f48,f50,f3,f67,f64,f213,f233,f216,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f44,f319,f322,f323,f320,f324,f332,f318,f333,f335,f326,f341,f327,f343,f345,f330,f346,f349,f338,f351,f210,f359,f17,f371,f368,f372,f376,f378,f329,f388,f389,f384,f398,f395,f401,f400,f405,f423,f425,f426,f428,f429,f432,f437,f438,f439,f458,f461,f446,f462,f448,f450,f454,f465,f466,f470,f464,f473,f474,f451,f480,f479,f481,f493,f517,f542,f547,f553,f538,f564,f495,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f776,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1436,f897,f1476,f1410,f1409,f1407,f1398,f1497,f1498,f1499,f1501,f1502,f1379,f1503,f1504,f1376,f1341,f1335,f1505,f1356,f1352,f1320,f1319,f1506,f1243,f1223,f1222,f1269,f1508,f1219,f1218,f1509,f1511,f1512,f1214,f1252,f1513,f1114,f1113,f1111,f1104,f1515,f1517,f1519,f1520,f1522,f1523,f1092,f1524,f1529,f1530,f1123,f1046,f1045,f1044,f1043,f1042,f1035,f1034,f1033,f1032,f933,f1538,f1539,f1019,f927,f1540,f923,f922,f1005,f1546,f902,f807,f801,f1552,f1555,f1556,f1557,f1558,f732,f731,f1559,f721,f720,f682,f679,f1562,f1564,f1565,f1566,f1568,f1569,f1570,f1575,f1578,f1580,f1031,f1577,f1571,f1563,f1242,f1951,f1954,f1955,f1956,f1957,f1507,f1978,f1981,f1982,f1983,f1984,f1375,f2138,f2180,f2149,f2199,f2202,f2203,f2166,f2167,f2205,f2170,f2171,f1382,f2214,f2260,f2226,f2287,f2288,f2244,f2245,f2290,f2248,f2249,f2157,f2481,f2494,f2483,f2495,f2496,f2486,f2497,f2488,f2498,f2490,f2491,f2179,f2554,f2560,f2564,f2566,f2259,f2695,f2700,f2704,f2706,f2233,f669,f2707,f37,f1576,f27,f32,f3308,f365,f2596,f377,f659,f1567,f1579]) ).
fof(f3382,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f3381]) ).
fof(f3381,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_10 ),
inference(global_subsumption,[],[f30,f15,f20,f10,f25,f35,f1,f2,f5,f48,f50,f3,f67,f64,f213,f233,f216,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f44,f319,f322,f323,f320,f324,f332,f318,f333,f335,f326,f341,f327,f343,f345,f330,f346,f349,f338,f351,f210,f359,f17,f371,f368,f372,f376,f378,f329,f388,f389,f384,f398,f395,f401,f400,f405,f423,f425,f426,f428,f429,f432,f437,f438,f439,f458,f461,f446,f462,f448,f450,f454,f465,f466,f470,f464,f473,f474,f451,f480,f479,f481,f493,f517,f542,f547,f553,f538,f564,f495,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f776,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1436,f897,f1476,f1410,f1409,f1407,f1398,f1497,f1498,f1499,f1501,f1502,f1379,f1503,f1504,f1376,f1341,f1335,f1505,f1356,f1352,f1320,f1319,f1506,f1243,f1223,f1222,f1269,f1508,f1219,f1218,f1509,f1511,f1512,f1214,f1252,f1513,f1114,f1113,f1111,f1104,f1515,f1517,f1519,f1520,f1522,f1523,f1092,f1524,f1529,f1530,f1123,f1046,f1045,f1044,f1043,f1042,f1035,f1034,f1033,f1032,f933,f1538,f1539,f1019,f927,f1540,f923,f922,f1005,f1546,f902,f807,f801,f1552,f1555,f1556,f1557,f1558,f732,f731,f1559,f721,f720,f682,f679,f1562,f1564,f1565,f1566,f1568,f1569,f1570,f1575,f1578,f1580,f1031,f1577,f1571,f1563,f1242,f1951,f1954,f1955,f1956,f1957,f1507,f1978,f1981,f1982,f1983,f1984,f1375,f2138,f2180,f2149,f2199,f2202,f2203,f2166,f2167,f2205,f2170,f2171,f1382,f2214,f2260,f2226,f2287,f2288,f2244,f2245,f2290,f2248,f2249,f2157,f2481,f2494,f2483,f2495,f2496,f2486,f2497,f2488,f2498,f2490,f2491,f2179,f2554,f2560,f2564,f2566,f2259,f2695,f2700,f2704,f2706,f2233,f669,f2707,f37,f1576,f27,f32,f3308,f365,f2596,f377,f659,f1567,f1579]) ).
fof(f3380,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f3379]) ).
fof(f3379,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_10 ),
inference(global_subsumption,[],[f30,f15,f20,f10,f25,f35,f1,f2,f5,f48,f50,f3,f67,f64,f213,f233,f216,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f44,f319,f322,f323,f320,f324,f332,f318,f333,f335,f326,f341,f327,f343,f345,f330,f346,f349,f338,f351,f210,f359,f17,f371,f368,f372,f376,f378,f329,f388,f389,f384,f398,f395,f401,f400,f405,f423,f425,f426,f428,f429,f432,f437,f438,f439,f458,f461,f446,f462,f448,f450,f454,f465,f466,f470,f464,f473,f474,f451,f480,f479,f481,f493,f517,f542,f547,f553,f538,f564,f495,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f776,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1436,f897,f1476,f1410,f1409,f1407,f1398,f1497,f1498,f1499,f1501,f1502,f1379,f1503,f1504,f1376,f1341,f1335,f1505,f1356,f1352,f1320,f1319,f1506,f1243,f1223,f1222,f1269,f1508,f1219,f1218,f1509,f1511,f1512,f1214,f1252,f1513,f1114,f1113,f1111,f1104,f1515,f1517,f1519,f1520,f1522,f1523,f1092,f1524,f1529,f1530,f1123,f1046,f1045,f1044,f1043,f1042,f1035,f1034,f1033,f1032,f933,f1538,f1539,f1019,f927,f1540,f923,f922,f1005,f1546,f902,f807,f801,f1552,f1555,f1556,f1557,f1558,f732,f731,f1559,f721,f720,f682,f679,f1562,f1564,f1565,f1566,f1568,f1569,f1570,f1575,f1578,f1579,f1580,f1031,f1577,f1571,f1563,f1242,f1951,f1954,f1955,f1956,f1957,f1507,f1978,f1981,f1982,f1983,f1984,f1375,f2138,f2180,f2149,f2199,f2202,f2203,f2166,f2167,f2205,f2170,f2171,f1382,f2214,f2260,f2226,f2287,f2288,f2244,f2245,f2290,f2248,f2249,f2157,f2481,f2494,f2483,f2495,f2496,f2486,f2497,f2488,f2498,f2490,f2491,f2179,f2554,f2560,f2564,f2566,f2259,f2695,f2700,f2704,f2706,f2233,f669,f2707,f37,f1576,f27,f32,f3308,f365,f2596,f377,f659,f1567]) ).
fof(f3378,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_8
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f3377]) ).
fof(f3377,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_8
| spl0_10 ),
inference(global_subsumption,[],[f3376,f30,f15,f20,f10,f25,f35,f1,f2,f5,f48,f50,f3,f67,f64,f213,f233,f216,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f44,f319,f322,f323,f320,f324,f332,f318,f333,f335,f326,f341,f327,f343,f345,f330,f346,f349,f338,f351,f210,f359,f17,f371,f368,f372,f376,f378,f329,f388,f389,f384,f398,f395,f401,f400,f405,f423,f425,f426,f428,f429,f432,f437,f438,f439,f458,f461,f446,f462,f448,f450,f454,f465,f466,f470,f464,f473,f474,f451,f480,f479,f481,f493,f517,f542,f547,f553,f538,f564,f495,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f776,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1436,f897,f1476,f1410,f1409,f1407,f1398,f1497,f1498,f1499,f1501,f1502,f1379,f1503,f1504,f1376,f1341,f1335,f1505,f1356,f1352,f1320,f1319,f1506,f1243,f1223,f1222,f1269,f1508,f1219,f1218,f1509,f1511,f1512,f1214,f1252,f1513,f1114,f1113,f1111,f1104,f1515,f1517,f1519,f1520,f1522,f1523,f1092,f1524,f1529,f1530,f1123,f1046,f1045,f1044,f1043,f1042,f1035,f1034,f1033,f1032,f933,f1538,f1539,f1019,f927,f1540,f923,f922,f1005,f1546,f902,f807,f801,f1552,f1555,f1556,f1557,f1558,f732,f731,f1559,f721,f720,f682,f679,f1562,f1564,f1565,f1566,f1567,f1568,f1569,f1570,f1575,f1578,f1579,f1580,f1031,f1577,f1571,f1563,f1242,f1951,f1954,f1955,f1956,f1957,f1507,f1978,f1981,f1982,f1983,f1984,f1375,f2138,f2180,f2149,f2199,f2202,f2203,f2166,f2167,f2205,f2170,f2171,f1382,f2214,f2260,f2226,f2287,f2288,f2244,f2245,f2290,f2248,f2249,f2157,f2481,f2494,f2483,f2495,f2496,f2486,f2497,f2488,f2498,f2490,f2491,f2179,f2554,f2560,f2564,f2566,f2259,f2695,f2700,f2704,f2706,f2233,f669,f2707,f37,f1576,f27,f32,f3308,f365,f2596,f377,f659]) ).
fof(f3373,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_8
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f3372]) ).
fof(f3372,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_8
| spl0_10 ),
inference(global_subsumption,[],[f3371,f30,f15,f20,f10,f25,f35,f1,f2,f5,f48,f50,f3,f67,f64,f213,f233,f216,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f44,f319,f322,f323,f320,f324,f332,f318,f333,f335,f326,f341,f327,f343,f345,f330,f346,f349,f338,f351,f210,f359,f17,f371,f368,f372,f376,f378,f329,f388,f389,f384,f398,f395,f401,f400,f405,f423,f425,f426,f428,f429,f432,f437,f438,f439,f458,f461,f446,f462,f448,f450,f454,f465,f466,f470,f464,f473,f474,f451,f480,f479,f481,f493,f517,f542,f547,f553,f538,f564,f495,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f776,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1436,f897,f1476,f1410,f1409,f1407,f1398,f1497,f1498,f1499,f1501,f1502,f1379,f1503,f1504,f1376,f1341,f1335,f1505,f1356,f1352,f1320,f1319,f1506,f1243,f1223,f1222,f1269,f1508,f1219,f1218,f1509,f1511,f1512,f1214,f1252,f1513,f1114,f1113,f1111,f1104,f1515,f1517,f1519,f1520,f1522,f1523,f1092,f1524,f1529,f1530,f1123,f1046,f1045,f1044,f1043,f1042,f1035,f1034,f1033,f1032,f933,f1538,f1539,f1019,f927,f1540,f923,f922,f1005,f1546,f902,f807,f801,f1552,f1555,f1556,f1557,f1558,f732,f731,f1559,f721,f720,f682,f679,f1562,f1564,f1565,f1566,f1567,f1568,f1569,f1570,f1575,f1578,f1579,f1580,f1031,f1577,f1571,f1563,f1242,f1951,f1954,f1955,f1956,f1957,f1507,f1978,f1981,f1982,f1983,f1984,f1375,f2138,f2180,f2149,f2199,f2202,f2203,f2166,f2167,f2205,f2170,f2171,f1382,f2214,f2260,f2226,f2287,f2288,f2244,f2245,f2290,f2248,f2249,f2157,f2481,f2494,f2483,f2495,f2496,f2486,f2497,f2488,f2498,f2490,f2491,f2179,f2554,f2560,f2564,f2566,f2259,f2695,f2700,f2704,f2706,f2233,f669,f2707,f37,f1576,f27,f32,f3308,f365,f2596,f377,f659]) ).
fof(f3367,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f3366]) ).
fof(f3366,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_10 ),
inference(global_subsumption,[],[f30,f15,f20,f10,f25,f35,f1,f2,f5,f48,f50,f3,f67,f64,f213,f233,f216,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f44,f319,f322,f323,f320,f324,f332,f318,f333,f335,f326,f341,f327,f343,f345,f330,f346,f349,f338,f351,f210,f359,f17,f371,f368,f372,f376,f378,f329,f388,f389,f384,f398,f395,f401,f400,f405,f423,f425,f426,f428,f429,f432,f437,f438,f439,f458,f461,f446,f462,f448,f450,f454,f465,f466,f470,f464,f473,f474,f451,f480,f479,f481,f493,f517,f542,f547,f553,f538,f564,f495,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f776,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1436,f897,f1476,f1410,f1409,f1407,f1398,f1497,f1498,f1499,f1501,f1502,f1379,f1503,f1504,f1376,f1341,f1335,f1505,f1356,f1352,f1320,f1319,f1506,f1243,f1223,f1222,f1269,f1508,f1219,f1218,f1509,f1511,f1512,f1214,f1252,f1513,f1114,f1113,f1111,f1104,f1515,f1517,f1519,f1520,f1522,f1523,f1092,f1524,f1529,f1530,f1123,f1046,f1045,f1044,f1043,f1042,f1035,f1034,f1033,f1032,f933,f1538,f1539,f1019,f927,f1540,f923,f922,f1005,f1546,f902,f807,f801,f1552,f1555,f1556,f1557,f1558,f732,f731,f1559,f721,f720,f682,f679,f1562,f1564,f1565,f1566,f1567,f1568,f1569,f1570,f1575,f1578,f1579,f1580,f1031,f1577,f1571,f1563,f1242,f1951,f1954,f1955,f1956,f1957,f1507,f1978,f1981,f1982,f1983,f1984,f1375,f2138,f2180,f2149,f2199,f2202,f2203,f2166,f2167,f2205,f2170,f2171,f1382,f2214,f2260,f2226,f2287,f2288,f2244,f2245,f2290,f2248,f2249,f2157,f2481,f2494,f2483,f2495,f2496,f2486,f2497,f2488,f2498,f2490,f2491,f2179,f2554,f2560,f2564,f2566,f2259,f2695,f2700,f2704,f2706,f2233,f669,f2707,f37,f1576,f27,f32,f3308,f365,f2596,f377,f659]) ).
fof(f3365,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_8
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f3364]) ).
fof(f3364,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_8
| spl0_10 ),
inference(global_subsumption,[],[f3245,f30,f15,f20,f10,f25,f35,f1,f2,f5,f48,f50,f3,f67,f64,f213,f233,f216,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f44,f319,f322,f323,f320,f324,f332,f318,f333,f335,f326,f341,f327,f343,f345,f330,f346,f349,f338,f351,f210,f359,f17,f371,f368,f372,f376,f378,f329,f388,f389,f384,f398,f395,f401,f400,f405,f423,f425,f426,f428,f429,f432,f437,f438,f439,f458,f461,f446,f462,f448,f450,f454,f465,f466,f470,f464,f473,f474,f451,f480,f479,f481,f493,f517,f542,f547,f553,f538,f564,f495,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f776,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1436,f897,f1476,f1410,f1409,f1407,f1398,f1497,f1498,f1499,f1501,f1502,f1379,f1503,f1504,f1376,f1341,f1335,f1505,f1356,f1352,f1320,f1319,f1506,f1243,f1223,f1222,f1269,f1508,f1219,f1218,f1509,f1511,f1512,f1214,f1252,f1513,f1114,f1113,f1111,f1104,f1515,f1517,f1519,f1520,f1522,f1523,f1092,f1524,f1529,f1530,f1123,f1046,f1045,f1044,f1043,f1042,f1035,f1034,f1033,f1032,f933,f1538,f1539,f1019,f927,f1540,f923,f922,f1005,f1546,f902,f807,f801,f1552,f1555,f1556,f1557,f1558,f732,f731,f1559,f721,f720,f682,f679,f1562,f1564,f1565,f1566,f1567,f1568,f1569,f1570,f1575,f1578,f1579,f1580,f1031,f1577,f1571,f1563,f1242,f1951,f1954,f1955,f1956,f1957,f1507,f1978,f1981,f1982,f1983,f1984,f1375,f2138,f2180,f2149,f2199,f2202,f2203,f2166,f2167,f2205,f2170,f2171,f1382,f2214,f2260,f2226,f2287,f2288,f2244,f2245,f2290,f2248,f2249,f2157,f2481,f2494,f2483,f2495,f2496,f2486,f2497,f2488,f2498,f2490,f2491,f2179,f2554,f2560,f2564,f2566,f2259,f2695,f2700,f2704,f2706,f2233,f669,f2707,f37,f1576,f27,f32,f3308,f365,f2596,f377,f659]) ).
fof(f3363,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_9
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f3362]) ).
fof(f3362,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_9
| spl0_10 ),
inference(global_subsumption,[],[f2592,f30,f15,f20,f10,f25,f35,f1,f2,f5,f48,f50,f3,f67,f64,f213,f233,f216,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f44,f319,f322,f323,f320,f324,f332,f318,f333,f335,f326,f341,f327,f343,f345,f330,f346,f349,f338,f351,f210,f359,f17,f371,f368,f372,f376,f378,f329,f388,f389,f384,f398,f395,f401,f400,f405,f423,f425,f426,f428,f429,f432,f437,f438,f439,f458,f461,f446,f462,f448,f450,f454,f465,f466,f470,f464,f473,f474,f451,f480,f479,f481,f493,f517,f542,f547,f553,f538,f564,f495,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f776,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1436,f897,f1476,f1410,f1409,f1407,f1398,f1497,f1498,f1499,f1501,f1502,f1379,f1503,f1504,f1376,f1341,f1335,f1505,f1356,f1352,f1320,f1319,f1506,f1243,f1223,f1222,f1269,f1508,f1219,f1218,f1509,f1511,f1512,f1214,f1252,f1513,f1114,f1113,f1111,f1104,f1515,f1517,f1519,f1520,f1522,f1523,f1092,f1524,f1529,f1530,f1123,f1046,f1045,f1044,f1043,f1042,f1035,f1034,f1033,f1032,f933,f1538,f1539,f1019,f927,f1540,f923,f922,f1005,f1546,f902,f807,f801,f1552,f1555,f1556,f1557,f1558,f732,f731,f1559,f721,f720,f682,f679,f1562,f1564,f1565,f1566,f1567,f1568,f1569,f1570,f1575,f1578,f1579,f1580,f1031,f1577,f1571,f1563,f1242,f1951,f1954,f1955,f1956,f1957,f1507,f1978,f1981,f1982,f1983,f1984,f1375,f2138,f2180,f2149,f2199,f2202,f2203,f2166,f2167,f2205,f2170,f2171,f1382,f2214,f2260,f2226,f2287,f2288,f2244,f2245,f2290,f2248,f2249,f2157,f2481,f2494,f2483,f2495,f2496,f2486,f2497,f2488,f2498,f2490,f2491,f2179,f2554,f2560,f2564,f2566,f2259,f2695,f2700,f2704,f2706,f2233,f669,f2707,f37,f1576,f27,f32,f3308,f365,f2596,f377,f659]) ).
fof(f3361,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f3360]) ).
fof(f3360,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| spl0_9 ),
inference(global_subsumption,[],[f30,f15,f20,f10,f25,f35,f1,f2,f5,f48,f50,f3,f67,f64,f213,f233,f216,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f44,f319,f322,f323,f320,f324,f332,f318,f333,f335,f326,f341,f327,f343,f345,f330,f346,f349,f338,f351,f210,f359,f17,f329,f388,f389,f384,f398,f395,f401,f400,f405,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1476,f1410,f1409,f1407,f1398,f1497,f1498,f1499,f1501,f1502,f1379,f1504,f1376,f1341,f1335,f1505,f1352,f1320,f1319,f1243,f1223,f1222,f1269,f1508,f1219,f1218,f1509,f1511,f1512,f1214,f1252,f1513,f1114,f1113,f1111,f1104,f1517,f1519,f1520,f1522,f1523,f1092,f1524,f1529,f1530,f1123,f1046,f1045,f1044,f1043,f1042,f1035,f1034,f1033,f1032,f933,f1539,f1019,f927,f1540,f923,f922,f1005,f1546,f902,f807,f801,f1552,f1555,f1556,f1557,f1558,f732,f731,f1559,f721,f720,f682,f679,f1565,f1567,f1568,f1570,f1579,f1580,f369,f1581,f1582,f1595,f1596,f1586,f1587,f1597,f1589,f1590,f1591,f1594,f1031,f1577,f1571,f1878,f1563,f1242,f1951,f1954,f1955,f1956,f1957,f1507,f1978,f1981,f1982,f1983,f1984,f1375,f2138,f2180,f2149,f2199,f2202,f2203,f2166,f2167,f2205,f2170,f2171,f1382,f2214,f2260,f2226,f2287,f2288,f2244,f2245,f2290,f2248,f2249,f2157,f2481,f2494,f2483,f2495,f2496,f2486,f2497,f2488,f2498,f2490,f2491,f2179,f2554,f2560,f2564,f2566,f2259,f2695,f2700,f2704,f2706,f2233,f669,f2707,f37,f3283,f1576,f27,f32,f3242,f659,f3350,f2592]) ).
fof(f3350,plain,
( sk_c8 = multiply(sk_c7,sk_c7)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(global_subsumption,[],[f30,f15,f20,f10,f25,f35,f1,f2,f5,f48,f50,f3,f67,f64,f213,f233,f216,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f44,f319,f322,f323,f320,f324,f332,f318,f333,f335,f326,f341,f327,f343,f345,f330,f346,f349,f338,f351,f210,f359,f17,f329,f388,f389,f384,f398,f395,f401,f400,f405,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1476,f1410,f1409,f1407,f1398,f1497,f1498,f1499,f1501,f1502,f1379,f1504,f1376,f1341,f1335,f1505,f1352,f1320,f1319,f1243,f1223,f1222,f1269,f1508,f1219,f1218,f1509,f1511,f1512,f1214,f1252,f1513,f1114,f1113,f1111,f1104,f1517,f1519,f1520,f1522,f1523,f1092,f1524,f1529,f1530,f1123,f1046,f1045,f1044,f1043,f1042,f1035,f1034,f1033,f1032,f933,f1539,f1019,f927,f1540,f923,f922,f1005,f1546,f902,f807,f801,f1552,f1555,f1556,f1557,f1558,f732,f731,f1559,f721,f720,f682,f679,f1565,f1567,f1568,f1570,f1579,f1580,f369,f1581,f1582,f1595,f1596,f1586,f1587,f1597,f1589,f1590,f1591,f1594,f1031,f1577,f1571,f1878,f1563,f1242,f1951,f1954,f1955,f1956,f1957,f1507,f1978,f1981,f1982,f1983,f1984,f1375,f2138,f2180,f2149,f2199,f2202,f2203,f2166,f2167,f2205,f2170,f2171,f1382,f2214,f2260,f2226,f2287,f2288,f2244,f2245,f2290,f2248,f2249,f2157,f2481,f2494,f2483,f2495,f2496,f2486,f2497,f2488,f2498,f2490,f2491,f2179,f2554,f2560,f2564,f2566,f2259,f2695,f2700,f2704,f2706,f2233,f669,f2707,f37,f3283,f1576,f27,f32,f3242,f659]) ).
fof(f3242,plain,
( sk_c8 = multiply(sk_c7,sk_c7)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(duplicate_literal_removal,[],[f3241]) ).
fof(f3241,plain,
( sk_c8 = multiply(sk_c7,sk_c7)
| sk_c8 = multiply(sk_c7,sk_c7)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(forward_demodulation,[],[f1567,f1594]) ).
fof(f3283,plain,
( sk_c8 = multiply(sk_c7,sk_c7)
| sk_c7 = inverse(sk_c5)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(forward_demodulation,[],[f22,f1594]) ).
fof(f1878,plain,
( sk_c8 = multiply(sk_c7,sk_c7)
| identity = sk_c6
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(forward_demodulation,[],[f1568,f1594]) ).
fof(f1594,plain,
( sk_c7 = sk_c1
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(forward_demodulation,[],[f1593,f400]) ).
fof(f1593,plain,
( sk_c4 = sk_c1
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(forward_demodulation,[],[f1592,f323]) ).
fof(f1592,plain,
( sk_c1 = multiply(sk_c7,identity)
| ~ spl0_1
| ~ spl0_4 ),
inference(forward_demodulation,[],[f1583,f44]) ).
fof(f1583,plain,
( sk_c1 = multiply(inverse(sk_c8),identity)
| ~ spl0_4 ),
inference(superposition,[],[f211,f369]) ).
fof(f3349,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_8
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3348]) ).
fof(f3348,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_8
| spl0_12 ),
inference(subsumption_resolution,[],[f3347,f2881]) ).
fof(f3347,plain,
( sk_c8 = sk_c7
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_8
| spl0_12 ),
inference(forward_demodulation,[],[f3346,f351]) ).
fof(f3346,plain,
( sk_c7 = multiply(sk_c8,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_8
| spl0_12 ),
inference(forward_demodulation,[],[f3270,f377]) ).
fof(f3270,plain,
( sk_c7 = multiply(sk_c5,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| spl0_12 ),
inference(global_subsumption,[],[f30,f15,f20,f10,f25,f35,f1,f2,f5,f48,f50,f3,f67,f64,f213,f233,f216,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f37,f33,f31,f29,f27,f22,f18,f16,f14,f12,f8,f6,f4,f32,f7,f44,f319,f322,f323,f320,f324,f332,f318,f333,f335,f326,f341,f327,f343,f345,f330,f346,f349,f338,f351,f210,f359,f17,f329,f388,f389,f384,f398,f395,f401,f400,f405,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1476,f1410,f1409,f1407,f1398,f1497,f1498,f1499,f1501,f1502,f1379,f1504,f1376,f1341,f1335,f1505,f1352,f1320,f1319,f1243,f1223,f1222,f1269,f1508,f1219,f1218,f1509,f1511,f1512,f1214,f1252,f1513,f1114,f1113,f1111,f1104,f1517,f1519,f1520,f1522,f1523,f1092,f1524,f1529,f1530,f1123,f1046,f1045,f1044,f1043,f1042,f1035,f1034,f1033,f1032,f933,f1539,f1019,f927,f1540,f923,f922,f1005,f1546,f902,f807,f801,f1552,f1555,f1556,f1557,f1558,f732,f731,f1559,f721,f720,f682,f679,f659,f1565,f1567,f1568,f1570,f1576,f1579,f1580,f1031,f1577,f1571,f1563,f1626,f1242,f1951,f1954,f1955,f1956,f1957,f1507,f1978,f1981,f1982,f1983,f1984,f1375,f2138,f2180,f2149,f2199,f2202,f2203,f2166,f2167,f2205,f2170,f2171,f1382,f2214,f2260,f2226,f2287,f2288,f2244,f2245,f2290,f2248,f2249,f2157,f2481,f2494,f2483,f2495,f2496,f2486,f2497,f2488,f2498,f2490,f2491,f2179,f2554,f2560,f2564,f2566,f2259,f2695,f2700,f2704,f2706,f2233,f669,f2707,f3245,f2881,f3256,f3269]) ).
fof(f3269,plain,
( sk_c7 = multiply(sk_c5,identity)
| sk_c8 = sk_c7
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8 ),
inference(forward_demodulation,[],[f3268,f1626]) ).
fof(f3268,plain,
( sk_c8 = sk_c7
| sk_c7 = multiply(sk_c5,sk_c6)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8 ),
inference(forward_demodulation,[],[f3267,f400]) ).
fof(f3267,plain,
( sk_c8 = sk_c4
| sk_c7 = multiply(sk_c5,sk_c6)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8 ),
inference(forward_demodulation,[],[f3266,f323]) ).
fof(f3301,plain,
( spl0_3
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f3300]) ).
fof(f3300,plain,
( $false
| spl0_3
| spl0_7 ),
inference(global_subsumption,[],[f30,f15,f20,f10,f25,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f210,f359,f17,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1407,f1398,f1499,f1501,f1502,f1379,f1341,f1335,f1505,f1509,f1214,f1252,f1111,f1104,f1092,f1524,f1529,f1530,f1123,f1046,f1045,f1035,f1034,f933,f922,f1005,f1546,f902,f807,f801,f1558,f732,f731,f1559,f721,f720,f682,f679,f37,f364,f32,f3289,f27,f3292,f1621]) ).
fof(f3292,plain,
( sk_c7 = multiply(sk_c2,sk_c3)
| spl0_3 ),
inference(global_subsumption,[],[f30,f15,f20,f10,f25,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f22,f18,f16,f14,f12,f8,f6,f4,f7,f210,f359,f17,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1407,f1398,f1499,f1501,f1502,f1379,f1341,f1335,f1505,f1509,f1214,f1252,f1111,f1104,f1092,f1524,f1529,f1530,f1123,f1046,f1045,f1035,f1034,f933,f922,f1005,f1546,f902,f807,f801,f1558,f732,f731,f1559,f721,f720,f682,f679,f37,f364,f32,f3289,f27]) ).
fof(f3289,plain,
( sk_c3 = inverse(sk_c2)
| spl0_3 ),
inference(global_subsumption,[],[f30,f15,f20,f10,f25,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f27,f22,f18,f16,f14,f12,f8,f6,f4,f7,f210,f359,f17,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1407,f1398,f1499,f1501,f1502,f1379,f1341,f1335,f1505,f1509,f1214,f1252,f1111,f1104,f1092,f1524,f1529,f1530,f1123,f1046,f1045,f1035,f1034,f933,f922,f1005,f1546,f902,f807,f801,f1558,f732,f731,f1559,f721,f720,f682,f679,f37,f364,f32]) ).
fof(f364,plain,
( sk_c7 != inverse(sk_c5)
| spl0_3 ),
inference(avatar_component_clause,[],[f363]) ).
fof(f3288,plain,
( spl0_3
| ~ spl0_7
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f3287]) ).
fof(f3287,plain,
( $false
| spl0_3
| ~ spl0_7
| spl0_10 ),
inference(global_subsumption,[],[f30,f15,f20,f10,f25,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f27,f22,f18,f16,f14,f12,f8,f6,f4,f32,f7,f210,f359,f17,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1407,f1398,f1499,f1501,f1502,f1379,f1341,f1335,f1505,f1509,f1214,f1252,f1111,f1104,f1092,f1524,f1529,f1530,f1123,f1046,f1045,f1035,f1034,f933,f922,f1005,f1546,f902,f807,f801,f1558,f732,f731,f1559,f721,f720,f682,f679,f1622,f1630,f1631,f1639,f1636,f1638,f1635,f1640,f1641,f1652,f1645,f1646,f1650,f1628,f1664,f1633,f1677,f1629,f1899,f1900,f1904,f1634,f1923,f1924,f1928,f1637,f2005,f2008,f2009,f2010,f2011,f1649,f2031,f2034,f2035,f2036,f2037,f1933,f2071,f2110,f2080,f2126,f2127,f2096,f2097,f2129,f2100,f2101,f1648,f2298,f2345,f2310,f2367,f2368,f2329,f2330,f2370,f2333,f2334,f2092,f2416,f2429,f2418,f2430,f2431,f2421,f2432,f2423,f2433,f2425,f2426,f2109,f2445,f2450,f2454,f2456,f2323,f2791,f2804,f2808,f2796,f2809,f2810,f2800,f2801,f2342,f2825,f2832,f2836,f2838,f2596,f37,f3281,f3282,f364]) ).
fof(f3282,plain,
( sk_c7 = inverse(sk_c5)
| ~ spl0_7
| spl0_10 ),
inference(global_subsumption,[],[f30,f15,f20,f10,f25,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f33,f31,f29,f27,f22,f18,f16,f14,f12,f8,f6,f4,f32,f7,f210,f359,f17,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1407,f1398,f1499,f1501,f1502,f1379,f1341,f1335,f1505,f1509,f1214,f1252,f1111,f1104,f1092,f1524,f1529,f1530,f1123,f1046,f1045,f1035,f1034,f933,f922,f1005,f1546,f902,f807,f801,f1558,f732,f731,f1559,f721,f720,f682,f679,f1622,f1630,f1631,f1639,f1636,f1638,f1635,f1640,f1641,f1652,f1645,f1646,f1650,f1628,f1664,f1633,f1677,f1629,f1899,f1900,f1904,f1634,f1923,f1924,f1928,f1637,f2005,f2008,f2009,f2010,f2011,f1649,f2031,f2034,f2035,f2036,f2037,f1933,f2071,f2110,f2080,f2126,f2127,f2096,f2097,f2129,f2100,f2101,f1648,f2298,f2345,f2310,f2367,f2368,f2329,f2330,f2370,f2333,f2334,f2092,f2416,f2429,f2418,f2430,f2431,f2421,f2432,f2423,f2433,f2425,f2426,f2109,f2445,f2450,f2454,f2456,f2323,f2791,f2804,f2808,f2796,f2809,f2810,f2800,f2801,f2342,f2825,f2832,f2836,f2838,f2596,f37,f3281]) ).
fof(f3281,plain,
( identity = sk_c7
| sk_c7 = inverse(sk_c5)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f27,f1633]) ).
fof(f2838,plain,
( ! [X0] : multiply(sk_c3,X0) = inverse(multiply(inverse(X0),sk_c2))
| ~ spl0_7 ),
inference(superposition,[],[f1240,f2342]) ).
fof(f2836,plain,
( ! [X0,X1] : multiply(sk_c3,X1) = multiply(inverse(multiply(X0,sk_c2)),multiply(X0,X1))
| ~ spl0_7 ),
inference(superposition,[],[f3,f2342]) ).
fof(f2832,plain,
( ! [X0] : inverse(multiply(X0,sk_c2)) = multiply(sk_c3,inverse(X0))
| ~ spl0_7 ),
inference(superposition,[],[f1157,f2342]) ).
fof(f2825,plain,
( ! [X0,X1] : sk_c3 = multiply(inverse(multiply(X0,multiply(X1,sk_c2))),multiply(X0,X1))
| ~ spl0_7 ),
inference(superposition,[],[f2342,f3]) ).
fof(f2801,plain,
( ! [X0] : multiply(multiply(X0,multiply(sk_c3,sk_c3)),multiply(sk_c2,sk_c2)) = X0
| ~ spl0_7 ),
inference(superposition,[],[f1240,f2323]) ).
fof(f2800,plain,
( ! [X0] : multiply(multiply(X0,multiply(sk_c2,sk_c2)),multiply(sk_c3,sk_c3)) = X0
| ~ spl0_7 ),
inference(superposition,[],[f1157,f2323]) ).
fof(f2810,plain,
( ! [X0] : multiply(sk_c2,sk_c2) = multiply(X0,inverse(multiply(sk_c3,multiply(sk_c3,X0))))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2799,f3]) ).
fof(f2799,plain,
( ! [X0] : multiply(sk_c2,sk_c2) = multiply(X0,inverse(multiply(multiply(sk_c3,sk_c3),X0)))
| ~ spl0_7 ),
inference(superposition,[],[f1069,f2323]) ).
fof(f2809,plain,
( ! [X0] : multiply(multiply(sk_c2,sk_c2),multiply(sk_c3,multiply(sk_c3,X0))) = X0
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2797,f3]) ).
fof(f2797,plain,
( ! [X0] : multiply(multiply(sk_c2,sk_c2),multiply(multiply(sk_c3,sk_c3),X0)) = X0
| ~ spl0_7 ),
inference(superposition,[],[f701,f2323]) ).
fof(f2796,plain,
( identity = multiply(multiply(sk_c2,sk_c2),multiply(sk_c3,sk_c3))
| ~ spl0_7 ),
inference(superposition,[],[f698,f2323]) ).
fof(f2808,plain,
( identity = multiply(multiply(sk_c3,sk_c3),multiply(sk_c2,sk_c2))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2795,f718]) ).
fof(f2795,plain,
( identity = multiply(inverse(inverse(multiply(sk_c3,sk_c3))),multiply(sk_c2,sk_c2))
| ~ spl0_7 ),
inference(superposition,[],[f628,f2323]) ).
fof(f2804,plain,
( ! [X0] : multiply(multiply(sk_c3,sk_c3),multiply(sk_c2,multiply(sk_c2,X0))) = X0
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2792,f3]) ).
fof(f2792,plain,
( ! [X0] : multiply(multiply(sk_c3,sk_c3),multiply(multiply(sk_c2,sk_c2),X0)) = X0
| ~ spl0_7 ),
inference(superposition,[],[f64,f2323]) ).
fof(f2791,plain,
( identity = multiply(multiply(sk_c3,sk_c3),multiply(sk_c2,sk_c2))
| ~ spl0_7 ),
inference(superposition,[],[f2,f2323]) ).
fof(f2323,plain,
( multiply(sk_c3,sk_c3) = inverse(multiply(sk_c2,sk_c2))
| ~ spl0_7 ),
inference(superposition,[],[f1629,f1648]) ).
fof(f2456,plain,
( ! [X0] : multiply(sk_c2,X0) = inverse(multiply(inverse(X0),sk_c3))
| ~ spl0_7 ),
inference(superposition,[],[f1240,f2109]) ).
fof(f2454,plain,
( ! [X0,X1] : multiply(sk_c2,X1) = multiply(inverse(multiply(X0,sk_c3)),multiply(X0,X1))
| ~ spl0_7 ),
inference(superposition,[],[f3,f2109]) ).
fof(f2450,plain,
( ! [X0] : inverse(multiply(X0,sk_c3)) = multiply(sk_c2,inverse(X0))
| ~ spl0_7 ),
inference(superposition,[],[f1157,f2109]) ).
fof(f2445,plain,
( ! [X0,X1] : sk_c2 = multiply(inverse(multiply(X0,multiply(X1,sk_c3))),multiply(X0,X1))
| ~ spl0_7 ),
inference(superposition,[],[f2109,f3]) ).
fof(f2426,plain,
( ! [X0] : multiply(multiply(X0,multiply(sk_c2,sk_c2)),multiply(sk_c3,sk_c3)) = X0
| ~ spl0_7 ),
inference(superposition,[],[f1240,f2092]) ).
fof(f2425,plain,
( ! [X0] : multiply(multiply(X0,multiply(sk_c3,sk_c3)),multiply(sk_c2,sk_c2)) = X0
| ~ spl0_7 ),
inference(superposition,[],[f1157,f2092]) ).
fof(f2433,plain,
( ! [X0] : multiply(sk_c3,sk_c3) = multiply(X0,inverse(multiply(sk_c2,multiply(sk_c2,X0))))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2424,f3]) ).
fof(f2424,plain,
( ! [X0] : multiply(sk_c3,sk_c3) = multiply(X0,inverse(multiply(multiply(sk_c2,sk_c2),X0)))
| ~ spl0_7 ),
inference(superposition,[],[f1069,f2092]) ).
fof(f2423,plain,
( multiply(sk_c3,sk_c3) = inverse(multiply(sk_c2,sk_c2))
| ~ spl0_7 ),
inference(superposition,[],[f718,f2092]) ).
fof(f2432,plain,
( ! [X0] : multiply(multiply(sk_c3,sk_c3),multiply(sk_c2,multiply(sk_c2,X0))) = X0
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2422,f3]) ).
fof(f2422,plain,
( ! [X0] : multiply(multiply(sk_c3,sk_c3),multiply(multiply(sk_c2,sk_c2),X0)) = X0
| ~ spl0_7 ),
inference(superposition,[],[f701,f2092]) ).
fof(f2421,plain,
( identity = multiply(multiply(sk_c3,sk_c3),multiply(sk_c2,sk_c2))
| ~ spl0_7 ),
inference(superposition,[],[f698,f2092]) ).
fof(f2431,plain,
( identity = multiply(multiply(sk_c2,sk_c2),multiply(sk_c3,sk_c3))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2420,f718]) ).
fof(f2420,plain,
( identity = multiply(inverse(inverse(multiply(sk_c2,sk_c2))),multiply(sk_c3,sk_c3))
| ~ spl0_7 ),
inference(superposition,[],[f628,f2092]) ).
fof(f2430,plain,
( ! [X0] : multiply(inverse(multiply(sk_c2,sk_c2)),X0) = multiply(sk_c3,multiply(sk_c3,X0))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2419,f3]) ).
fof(f2419,plain,
( ! [X0] : multiply(multiply(sk_c3,sk_c3),X0) = multiply(inverse(multiply(sk_c2,sk_c2)),X0)
| ~ spl0_7 ),
inference(superposition,[],[f221,f2092]) ).
fof(f2418,plain,
( multiply(sk_c3,sk_c3) = multiply(inverse(multiply(sk_c2,sk_c2)),identity)
| ~ spl0_7 ),
inference(superposition,[],[f211,f2092]) ).
fof(f2429,plain,
( ! [X0] : multiply(multiply(sk_c2,sk_c2),multiply(sk_c3,multiply(sk_c3,X0))) = X0
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2417,f3]) ).
fof(f2417,plain,
( ! [X0] : multiply(multiply(sk_c2,sk_c2),multiply(multiply(sk_c3,sk_c3),X0)) = X0
| ~ spl0_7 ),
inference(superposition,[],[f64,f2092]) ).
fof(f2416,plain,
( identity = multiply(multiply(sk_c2,sk_c2),multiply(sk_c3,sk_c3))
| ~ spl0_7 ),
inference(superposition,[],[f2,f2092]) ).
fof(f2092,plain,
( inverse(multiply(sk_c3,sk_c3)) = multiply(sk_c2,sk_c2)
| ~ spl0_7 ),
inference(superposition,[],[f1634,f1933]) ).
fof(f2334,plain,
( ! [X0,X1] : sk_c3 = multiply(X0,multiply(X1,inverse(multiply(sk_c2,multiply(X0,X1)))))
| ~ spl0_7 ),
inference(superposition,[],[f3,f1648]) ).
fof(f2333,plain,
( ! [X0] : multiply(X0,sk_c3) = inverse(multiply(sk_c2,inverse(X0)))
| ~ spl0_7 ),
inference(superposition,[],[f701,f1648]) ).
fof(f2370,plain,
( ! [X0] : multiply(inverse(multiply(sk_c2,inverse(X0))),sk_c2) = X0
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2332,f1635]) ).
fof(f2332,plain,
( ! [X0] : multiply(inverse(multiply(sk_c2,inverse(X0))),inverse(sk_c3)) = X0
| ~ spl0_7 ),
inference(superposition,[],[f1069,f1648]) ).
fof(f2330,plain,
( ! [X0,X1] : multiply(sk_c3,X1) = multiply(X0,multiply(inverse(multiply(sk_c2,X0)),X1))
| ~ spl0_7 ),
inference(superposition,[],[f3,f1648]) ).
fof(f2329,plain,
( ! [X0] : inverse(multiply(sk_c2,X0)) = multiply(inverse(X0),sk_c3)
| ~ spl0_7 ),
inference(superposition,[],[f64,f1648]) ).
fof(f2368,plain,
( ! [X0] : identity = multiply(X0,multiply(inverse(multiply(sk_c2,X0)),sk_c2))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2328,f1635]) ).
fof(f2328,plain,
( ! [X0] : identity = multiply(X0,multiply(inverse(multiply(sk_c2,X0)),inverse(sk_c3)))
| ~ spl0_7 ),
inference(superposition,[],[f806,f1648]) ).
fof(f2367,plain,
( ! [X0] : inverse(X0) = multiply(inverse(multiply(sk_c2,X0)),sk_c2)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2327,f1635]) ).
fof(f2327,plain,
( ! [X0] : inverse(X0) = multiply(inverse(multiply(sk_c2,X0)),inverse(sk_c3))
| ~ spl0_7 ),
inference(superposition,[],[f1065,f1648]) ).
fof(f2310,plain,
( ! [X0,X1] : sk_c3 = multiply(X0,multiply(X1,inverse(multiply(sk_c2,multiply(X0,X1)))))
| ~ spl0_7 ),
inference(superposition,[],[f1648,f3]) ).
fof(f2345,plain,
( sk_c3 = multiply(inverse(multiply(sk_c2,sk_c2)),sk_c2)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2301,f1635]) ).
fof(f2301,plain,
( sk_c3 = multiply(inverse(multiply(sk_c2,sk_c2)),inverse(sk_c3))
| ~ spl0_7 ),
inference(superposition,[],[f1648,f1648]) ).
fof(f2298,plain,
( ! [X0] : sk_c3 = multiply(inverse(multiply(inverse(X0),sk_c2)),inverse(X0))
| ~ spl0_7 ),
inference(superposition,[],[f1648,f1069]) ).
fof(f2101,plain,
( ! [X0,X1] : sk_c2 = multiply(X0,multiply(X1,inverse(multiply(sk_c3,multiply(X0,X1)))))
| ~ spl0_7 ),
inference(superposition,[],[f3,f1933]) ).
fof(f2100,plain,
( ! [X0] : multiply(X0,sk_c2) = inverse(multiply(sk_c3,inverse(X0)))
| ~ spl0_7 ),
inference(superposition,[],[f701,f1933]) ).
fof(f2129,plain,
( ! [X0] : multiply(inverse(multiply(sk_c3,inverse(X0))),sk_c3) = X0
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2099,f1622]) ).
fof(f2099,plain,
( ! [X0] : multiply(inverse(multiply(sk_c3,inverse(X0))),inverse(sk_c2)) = X0
| ~ spl0_7 ),
inference(superposition,[],[f1069,f1933]) ).
fof(f2097,plain,
( ! [X0,X1] : multiply(sk_c2,X1) = multiply(X0,multiply(inverse(multiply(sk_c3,X0)),X1))
| ~ spl0_7 ),
inference(superposition,[],[f3,f1933]) ).
fof(f2096,plain,
( ! [X0] : inverse(multiply(sk_c3,X0)) = multiply(inverse(X0),sk_c2)
| ~ spl0_7 ),
inference(superposition,[],[f64,f1933]) ).
fof(f2127,plain,
( ! [X0] : identity = multiply(X0,multiply(inverse(multiply(sk_c3,X0)),sk_c3))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2095,f1622]) ).
fof(f2095,plain,
( ! [X0] : identity = multiply(X0,multiply(inverse(multiply(sk_c3,X0)),inverse(sk_c2)))
| ~ spl0_7 ),
inference(superposition,[],[f806,f1933]) ).
fof(f2126,plain,
( ! [X0] : inverse(X0) = multiply(inverse(multiply(sk_c3,X0)),sk_c3)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2094,f1622]) ).
fof(f2094,plain,
( ! [X0] : inverse(X0) = multiply(inverse(multiply(sk_c3,X0)),inverse(sk_c2))
| ~ spl0_7 ),
inference(superposition,[],[f1065,f1933]) ).
fof(f2080,plain,
( ! [X0,X1] : sk_c2 = multiply(X0,multiply(X1,inverse(multiply(sk_c3,multiply(X0,X1)))))
| ~ spl0_7 ),
inference(superposition,[],[f1933,f3]) ).
fof(f2110,plain,
( sk_c2 = multiply(inverse(multiply(sk_c3,sk_c3)),sk_c3)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2072,f1622]) ).
fof(f2072,plain,
( sk_c2 = multiply(inverse(multiply(sk_c3,sk_c3)),inverse(sk_c2))
| ~ spl0_7 ),
inference(superposition,[],[f1933,f1933]) ).
fof(f2071,plain,
( ! [X0] : sk_c2 = multiply(inverse(multiply(inverse(X0),sk_c3)),inverse(X0))
| ~ spl0_7 ),
inference(superposition,[],[f1933,f1069]) ).
fof(f2037,plain,
( ! [X0,X1] : multiply(X0,X1) = multiply(multiply(X0,sk_c3),multiply(sk_c2,X1))
| ~ spl0_7 ),
inference(superposition,[],[f3,f1649]) ).
fof(f2036,plain,
( ! [X0] : sk_c2 = multiply(inverse(multiply(X0,sk_c3)),X0)
| ~ spl0_7 ),
inference(superposition,[],[f64,f1649]) ).
fof(f2035,plain,
( ! [X0] : identity = multiply(multiply(X0,sk_c3),multiply(sk_c2,inverse(X0)))
| ~ spl0_7 ),
inference(superposition,[],[f806,f1649]) ).
fof(f2034,plain,
( ! [X0] : inverse(multiply(X0,sk_c3)) = multiply(sk_c2,inverse(X0))
| ~ spl0_7 ),
inference(superposition,[],[f1065,f1649]) ).
fof(f2031,plain,
( ! [X0,X1] : multiply(X0,X1) = multiply(multiply(X0,multiply(X1,sk_c3)),sk_c2)
| ~ spl0_7 ),
inference(superposition,[],[f1649,f3]) ).
fof(f2011,plain,
( ! [X0,X1] : multiply(X0,X1) = multiply(multiply(X0,sk_c2),multiply(sk_c3,X1))
| ~ spl0_7 ),
inference(superposition,[],[f3,f1637]) ).
fof(f2010,plain,
( ! [X0] : sk_c3 = multiply(inverse(multiply(X0,sk_c2)),X0)
| ~ spl0_7 ),
inference(superposition,[],[f64,f1637]) ).
fof(f2009,plain,
( ! [X0] : identity = multiply(multiply(X0,sk_c2),multiply(sk_c3,inverse(X0)))
| ~ spl0_7 ),
inference(superposition,[],[f806,f1637]) ).
fof(f2008,plain,
( ! [X0] : inverse(multiply(X0,sk_c2)) = multiply(sk_c3,inverse(X0))
| ~ spl0_7 ),
inference(superposition,[],[f1065,f1637]) ).
fof(f2005,plain,
( ! [X0,X1] : multiply(X0,X1) = multiply(multiply(X0,multiply(X1,sk_c2)),sk_c3)
| ~ spl0_7 ),
inference(superposition,[],[f1637,f3]) ).
fof(f1928,plain,
( ! [X0] : sk_c2 = multiply(X0,inverse(multiply(sk_c3,X0)))
| ~ spl0_7 ),
inference(superposition,[],[f1157,f1634]) ).
fof(f1924,plain,
( ! [X0] : multiply(sk_c2,X0) = inverse(multiply(inverse(X0),sk_c3))
| ~ spl0_7 ),
inference(superposition,[],[f1634,f1069]) ).
fof(f1923,plain,
( ! [X0] : inverse(multiply(X0,sk_c3)) = multiply(sk_c2,inverse(X0))
| ~ spl0_7 ),
inference(superposition,[],[f1634,f1065]) ).
fof(f1904,plain,
( ! [X0] : sk_c3 = multiply(X0,inverse(multiply(sk_c2,X0)))
| ~ spl0_7 ),
inference(superposition,[],[f1157,f1629]) ).
fof(f1900,plain,
( ! [X0] : multiply(sk_c3,X0) = inverse(multiply(inverse(X0),sk_c2))
| ~ spl0_7 ),
inference(superposition,[],[f1629,f1069]) ).
fof(f1899,plain,
( ! [X0] : inverse(multiply(X0,sk_c2)) = multiply(sk_c3,inverse(X0))
| ~ spl0_7 ),
inference(superposition,[],[f1629,f1065]) ).
fof(f1677,plain,
( ! [X0] : multiply(sk_c2,multiply(sk_c3,X0)) = X0
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1670,f1]) ).
fof(f1670,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c2,multiply(sk_c3,X0))
| ~ spl0_7 ),
inference(superposition,[],[f3,f1633]) ).
fof(f1664,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c2,X0)) = X0
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1657,f1]) ).
fof(f1657,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c3,multiply(sk_c2,X0))
| ~ spl0_7 ),
inference(superposition,[],[f3,f1628]) ).
fof(f1650,plain,
( ! [X0] : multiply(multiply(X0,sk_c2),sk_c3) = X0
| ~ spl0_7 ),
inference(superposition,[],[f1240,f1635]) ).
fof(f1646,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c2,X0)) = X0
| ~ spl0_7 ),
inference(superposition,[],[f701,f1635]) ).
fof(f1645,plain,
( identity = multiply(sk_c3,sk_c2)
| ~ spl0_7 ),
inference(superposition,[],[f698,f1635]) ).
fof(f1652,plain,
( identity = multiply(sk_c2,sk_c3)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1644,f718]) ).
fof(f1644,plain,
( identity = multiply(inverse(inverse(sk_c2)),sk_c3)
| ~ spl0_7 ),
inference(superposition,[],[f628,f1635]) ).
fof(f1641,plain,
( ! [X0] : multiply(sk_c2,multiply(sk_c3,X0)) = X0
| ~ spl0_7 ),
inference(superposition,[],[f64,f1635]) ).
fof(f1640,plain,
( identity = multiply(sk_c2,sk_c3)
| ~ spl0_7 ),
inference(superposition,[],[f2,f1635]) ).
fof(f1638,plain,
( ! [X0] : multiply(multiply(X0,sk_c3),sk_c2) = X0
| ~ spl0_7 ),
inference(superposition,[],[f1240,f1622]) ).
fof(f1636,plain,
( ! [X0] : sk_c2 = multiply(X0,inverse(multiply(sk_c3,X0)))
| ~ spl0_7 ),
inference(superposition,[],[f1069,f1622]) ).
fof(f1639,plain,
( identity = multiply(sk_c3,sk_c2)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1632,f718]) ).
fof(f1632,plain,
( identity = multiply(inverse(inverse(sk_c3)),sk_c2)
| ~ spl0_7 ),
inference(superposition,[],[f628,f1622]) ).
fof(f1631,plain,
( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(sk_c3),X0)
| ~ spl0_7 ),
inference(superposition,[],[f221,f1622]) ).
fof(f1630,plain,
( sk_c2 = multiply(inverse(sk_c3),identity)
| ~ spl0_7 ),
inference(superposition,[],[f211,f1622]) ).
fof(f3264,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3263]) ).
fof(f3263,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f2593,f30,f15,f20,f10,f25,f35,f1,f2,f5,f48,f50,f3,f67,f64,f213,f233,f216,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f37,f33,f31,f29,f27,f22,f18,f16,f14,f12,f8,f6,f4,f32,f7,f44,f319,f322,f323,f320,f324,f332,f318,f333,f335,f326,f341,f327,f343,f345,f330,f346,f349,f338,f351,f210,f359,f17,f365,f371,f372,f376,f378,f377,f329,f388,f389,f384,f398,f395,f401,f400,f405,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1476,f1410,f1409,f1407,f1398,f1497,f1498,f1499,f1501,f1502,f1379,f1503,f1504,f1376,f1341,f1335,f1505,f1356,f1352,f1320,f1319,f1506,f1243,f1223,f1222,f1269,f1508,f1219,f1218,f1509,f1511,f1512,f1214,f1252,f1513,f1114,f1113,f1111,f1104,f1515,f1517,f1519,f1520,f1522,f1523,f1092,f1524,f1529,f1530,f1123,f1046,f1045,f1044,f1043,f1042,f1035,f1034,f1033,f1032,f933,f1538,f1539,f1019,f927,f1540,f923,f922,f1005,f1546,f902,f807,f801,f1552,f1555,f1556,f1557,f1558,f732,f731,f1559,f721,f720,f682,f679,f1562,f1564,f659,f1565,f1566,f1567,f1568,f1569,f1570,f1575,f1576,f1578,f1579,f1580,f1031,f1577,f1622,f1630,f1631,f1639,f1636,f1638,f1635,f1640,f1641,f1652,f1645,f1646,f1650,f1628,f1664,f1633,f1677,f1571,f1879,f1563,f1626,f1629,f1899,f1900,f1904,f1634,f1923,f1924,f1928,f1242,f1951,f1954,f1955,f1956,f1957,f1507,f1978,f1981,f1982,f1983,f1984,f1637,f2005,f2008,f2009,f2010,f2011,f1649,f2031,f2034,f2035,f2036,f2037,f1933,f2071,f2110,f2080,f2123,f2126,f2127,f2096,f2097,f2129,f2100,f2101,f1375,f2138,f2180,f2181,f2149,f2199,f2200,f2202,f2203,f2166,f2167,f2205,f2170,f2171,f1382,f2214,f2260,f2263,f2226,f2285,f2287,f2288,f2244,f2245,f2290,f2248,f2249,f1648,f2298,f2343,f2344,f2345,f2310,f2359,f2360,f2362,f2367,f2368,f2329,f2330,f2370,f2333,f2334,f2087,f2374,f2387,f2376,f2388,f2389,f2379,f2390,f2381,f2391,f2383,f2384,f2088,f2395,f2408,f2397,f2409,f2410,f2400,f2411,f2402,f2412,f2404,f2405,f2092,f2416,f2429,f2418,f2430,f2431,f2421,f2432,f2423,f2433,f2425,f2426,f2109,f2445,f2450,f2454,f2456,f2457,f2458,f2157,f2481,f2494,f2483,f2495,f2496,f2486,f2497,f2488,f2498,f2490,f2491,f2160,f2502,f2515,f2517,f2507,f2518,f2519,f2511,f2512,f2162,f2524,f2537,f2526,f2538,f2539,f2529,f2540,f2531,f2541,f2533,f2534,f2179,f2554,f2560,f2564,f2566,f2569,f2589,f2238,f2638,f2651,f2655,f2643,f2656,f2657,f2647,f2648,f2240,f2662,f2675,f2664,f2676,f2677,f2667,f2678,f2669,f2679,f2671,f2672,f2259,f2695,f2700,f2704,f2706,f2710,f2318,f2746,f2759,f2763,f2751,f2764,f2765,f2755,f2756,f2320,f2770,f2783,f2785,f2775,f2786,f2787,f2779,f2780,f2323,f2791,f2804,f2808,f2796,f2809,f2810,f2800,f2801,f2342,f2825,f2832,f2836,f2838,f2874,f2233,f669,f2707,f3245,f2881,f3247,f3253,f3256,f2596]) ).
fof(f3253,plain,
( sk_c8 = multiply(sk_c7,identity)
| sk_c8 = sk_c7
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_8 ),
inference(forward_demodulation,[],[f3136,f1626]) ).
fof(f3247,plain,
( identity = sk_c7
| sk_c8 = sk_c7
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f3029,f1633]) ).
fof(f3029,plain,
( sk_c8 = sk_c7
| sk_c7 = multiply(sk_c2,sk_c3)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_8 ),
inference(forward_demodulation,[],[f3028,f351]) ).
fof(f3028,plain,
( sk_c7 = multiply(sk_c8,identity)
| sk_c7 = multiply(sk_c2,sk_c3)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1564,f1626]) ).
fof(f2874,plain,
( sk_c8 = sk_c7
| sk_c7 = multiply(sk_c3,sk_c8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_8 ),
inference(forward_demodulation,[],[f2873,f351]) ).
fof(f2873,plain,
( sk_c7 = multiply(sk_c8,identity)
| sk_c7 = multiply(sk_c3,sk_c8)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1562,f1626]) ).
fof(f2780,plain,
( ! [X0] : multiply(multiply(X0,multiply(sk_c8,sk_c3)),multiply(sk_c2,sk_c7)) = X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7 ),
inference(superposition,[],[f1240,f2320]) ).
fof(f2779,plain,
( ! [X0] : multiply(multiply(X0,multiply(sk_c2,sk_c7)),multiply(sk_c8,sk_c3)) = X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7 ),
inference(superposition,[],[f1157,f2320]) ).
fof(f2787,plain,
( ! [X0] : multiply(sk_c2,sk_c7) = multiply(X0,inverse(multiply(sk_c8,multiply(sk_c3,X0))))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2778,f3]) ).
fof(f2778,plain,
( ! [X0] : multiply(sk_c2,sk_c7) = multiply(X0,inverse(multiply(multiply(sk_c8,sk_c3),X0)))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7 ),
inference(superposition,[],[f1069,f2320]) ).
fof(f2786,plain,
( ! [X0] : multiply(multiply(sk_c2,sk_c7),multiply(sk_c8,multiply(sk_c3,X0))) = X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2776,f3]) ).
fof(f2776,plain,
( ! [X0] : multiply(multiply(sk_c2,sk_c7),multiply(multiply(sk_c8,sk_c3),X0)) = X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7 ),
inference(superposition,[],[f701,f2320]) ).
fof(f2775,plain,
( identity = multiply(multiply(sk_c2,sk_c7),multiply(sk_c8,sk_c3))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7 ),
inference(superposition,[],[f698,f2320]) ).
fof(f2785,plain,
( identity = multiply(multiply(sk_c8,sk_c3),multiply(sk_c2,sk_c7))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2774,f718]) ).
fof(f2774,plain,
( identity = multiply(inverse(inverse(multiply(sk_c8,sk_c3))),multiply(sk_c2,sk_c7))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7 ),
inference(superposition,[],[f628,f2320]) ).
fof(f2783,plain,
( ! [X0] : multiply(multiply(sk_c8,sk_c3),multiply(sk_c2,multiply(sk_c7,X0))) = X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2771,f3]) ).
fof(f2771,plain,
( ! [X0] : multiply(multiply(sk_c8,sk_c3),multiply(multiply(sk_c2,sk_c7),X0)) = X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7 ),
inference(superposition,[],[f64,f2320]) ).
fof(f2770,plain,
( identity = multiply(multiply(sk_c8,sk_c3),multiply(sk_c2,sk_c7))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7 ),
inference(superposition,[],[f2,f2320]) ).
fof(f2320,plain,
( inverse(multiply(sk_c2,sk_c7)) = multiply(sk_c8,sk_c3)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7 ),
inference(superposition,[],[f338,f1648]) ).
fof(f2756,plain,
( ! [X0] : multiply(multiply(X0,multiply(sk_c7,sk_c3)),multiply(sk_c2,sk_c8)) = X0
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f1240,f2318]) ).
fof(f2755,plain,
( ! [X0] : multiply(multiply(X0,multiply(sk_c2,sk_c8)),multiply(sk_c7,sk_c3)) = X0
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f1157,f2318]) ).
fof(f2765,plain,
( ! [X0] : multiply(sk_c2,sk_c8) = multiply(X0,inverse(multiply(sk_c7,multiply(sk_c3,X0))))
| ~ spl0_1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2754,f3]) ).
fof(f2754,plain,
( ! [X0] : multiply(sk_c2,sk_c8) = multiply(X0,inverse(multiply(multiply(sk_c7,sk_c3),X0)))
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f1069,f2318]) ).
fof(f2764,plain,
( ! [X0] : multiply(multiply(sk_c2,sk_c8),multiply(sk_c7,multiply(sk_c3,X0))) = X0
| ~ spl0_1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2752,f3]) ).
fof(f2752,plain,
( ! [X0] : multiply(multiply(sk_c2,sk_c8),multiply(multiply(sk_c7,sk_c3),X0)) = X0
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f701,f2318]) ).
fof(f2751,plain,
( identity = multiply(multiply(sk_c2,sk_c8),multiply(sk_c7,sk_c3))
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f698,f2318]) ).
fof(f2763,plain,
( identity = multiply(multiply(sk_c7,sk_c3),multiply(sk_c2,sk_c8))
| ~ spl0_1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2750,f718]) ).
fof(f2750,plain,
( identity = multiply(inverse(inverse(multiply(sk_c7,sk_c3))),multiply(sk_c2,sk_c8))
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f628,f2318]) ).
fof(f2759,plain,
( ! [X0] : multiply(multiply(sk_c7,sk_c3),multiply(sk_c2,multiply(sk_c8,X0))) = X0
| ~ spl0_1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2747,f3]) ).
fof(f2747,plain,
( ! [X0] : multiply(multiply(sk_c7,sk_c3),multiply(multiply(sk_c2,sk_c8),X0)) = X0
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f64,f2318]) ).
fof(f2746,plain,
( identity = multiply(multiply(sk_c7,sk_c3),multiply(sk_c2,sk_c8))
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f2,f2318]) ).
fof(f2318,plain,
( multiply(sk_c7,sk_c3) = inverse(multiply(sk_c2,sk_c8))
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f318,f1648]) ).
fof(f2710,plain,
( multiply(sk_c7,sk_c3) = inverse(multiply(sk_c2,sk_c8))
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f1637,f2259]) ).
fof(f2672,plain,
( ! [X0] : multiply(multiply(X0,multiply(sk_c2,sk_c7)),multiply(sk_c8,sk_c3)) = X0
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f1240,f2240]) ).
fof(f2671,plain,
( ! [X0] : multiply(multiply(X0,multiply(sk_c8,sk_c3)),multiply(sk_c2,sk_c7)) = X0
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f1157,f2240]) ).
fof(f2679,plain,
( ! [X0] : multiply(sk_c8,sk_c3) = multiply(X0,inverse(multiply(sk_c2,multiply(sk_c7,X0))))
| ~ spl0_1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2670,f3]) ).
fof(f2670,plain,
( ! [X0] : multiply(sk_c8,sk_c3) = multiply(X0,inverse(multiply(multiply(sk_c2,sk_c7),X0)))
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f1069,f2240]) ).
fof(f2669,plain,
( inverse(multiply(sk_c2,sk_c7)) = multiply(sk_c8,sk_c3)
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f718,f2240]) ).
fof(f2678,plain,
( ! [X0] : multiply(multiply(sk_c8,sk_c3),multiply(sk_c2,multiply(sk_c7,X0))) = X0
| ~ spl0_1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2668,f3]) ).
fof(f2668,plain,
( ! [X0] : multiply(multiply(sk_c8,sk_c3),multiply(multiply(sk_c2,sk_c7),X0)) = X0
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f701,f2240]) ).
fof(f2667,plain,
( identity = multiply(multiply(sk_c8,sk_c3),multiply(sk_c2,sk_c7))
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f698,f2240]) ).
fof(f2677,plain,
( identity = multiply(multiply(sk_c2,sk_c7),multiply(sk_c8,sk_c3))
| ~ spl0_1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2666,f718]) ).
fof(f2666,plain,
( identity = multiply(inverse(inverse(multiply(sk_c2,sk_c7))),multiply(sk_c8,sk_c3))
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f628,f2240]) ).
fof(f2676,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c3,X0)) = multiply(inverse(multiply(sk_c2,sk_c7)),X0)
| ~ spl0_1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2665,f3]) ).
fof(f2665,plain,
( ! [X0] : multiply(multiply(sk_c8,sk_c3),X0) = multiply(inverse(multiply(sk_c2,sk_c7)),X0)
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f221,f2240]) ).
fof(f2664,plain,
( multiply(sk_c8,sk_c3) = multiply(inverse(multiply(sk_c2,sk_c7)),identity)
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f211,f2240]) ).
fof(f2675,plain,
( ! [X0] : multiply(multiply(sk_c2,sk_c7),multiply(sk_c8,multiply(sk_c3,X0))) = X0
| ~ spl0_1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2663,f3]) ).
fof(f2663,plain,
( ! [X0] : multiply(multiply(sk_c2,sk_c7),multiply(multiply(sk_c8,sk_c3),X0)) = X0
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f64,f2240]) ).
fof(f2662,plain,
( identity = multiply(multiply(sk_c2,sk_c7),multiply(sk_c8,sk_c3))
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f2,f2240]) ).
fof(f2240,plain,
( multiply(sk_c2,sk_c7) = inverse(multiply(sk_c8,sk_c3))
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f1634,f1382]) ).
fof(f2648,plain,
( ! [X0] : multiply(multiply(X0,multiply(sk_c3,sk_c7)),multiply(sk_c8,sk_c2)) = X0
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f1240,f2238]) ).
fof(f2647,plain,
( ! [X0] : multiply(multiply(X0,multiply(sk_c8,sk_c2)),multiply(sk_c3,sk_c7)) = X0
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f1157,f2238]) ).
fof(f2657,plain,
( ! [X0] : multiply(sk_c8,sk_c2) = multiply(X0,inverse(multiply(sk_c3,multiply(sk_c7,X0))))
| ~ spl0_1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2646,f3]) ).
fof(f2646,plain,
( ! [X0] : multiply(sk_c8,sk_c2) = multiply(X0,inverse(multiply(multiply(sk_c3,sk_c7),X0)))
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f1069,f2238]) ).
fof(f2656,plain,
( ! [X0] : multiply(multiply(sk_c8,sk_c2),multiply(sk_c3,multiply(sk_c7,X0))) = X0
| ~ spl0_1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2644,f3]) ).
fof(f2644,plain,
( ! [X0] : multiply(multiply(sk_c8,sk_c2),multiply(multiply(sk_c3,sk_c7),X0)) = X0
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f701,f2238]) ).
fof(f2643,plain,
( identity = multiply(multiply(sk_c8,sk_c2),multiply(sk_c3,sk_c7))
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f698,f2238]) ).
fof(f2655,plain,
( identity = multiply(multiply(sk_c3,sk_c7),multiply(sk_c8,sk_c2))
| ~ spl0_1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2642,f718]) ).
fof(f2642,plain,
( identity = multiply(inverse(inverse(multiply(sk_c3,sk_c7))),multiply(sk_c8,sk_c2))
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f628,f2238]) ).
fof(f2651,plain,
( ! [X0] : multiply(multiply(sk_c3,sk_c7),multiply(sk_c8,multiply(sk_c2,X0))) = X0
| ~ spl0_1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2639,f3]) ).
fof(f2639,plain,
( ! [X0] : multiply(multiply(sk_c3,sk_c7),multiply(multiply(sk_c8,sk_c2),X0)) = X0
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f64,f2238]) ).
fof(f2638,plain,
( identity = multiply(multiply(sk_c3,sk_c7),multiply(sk_c8,sk_c2))
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f2,f2238]) ).
fof(f2238,plain,
( multiply(sk_c3,sk_c7) = inverse(multiply(sk_c8,sk_c2))
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f1629,f1382]) ).
fof(f2589,plain,
( identity = sk_c7
| sk_c8 = multiply(sk_c7,sk_c7)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7 ),
inference(forward_demodulation,[],[f659,f1633]) ).
fof(f2569,plain,
( inverse(multiply(sk_c2,sk_c7)) = multiply(sk_c8,sk_c3)
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f1637,f2179]) ).
fof(f2534,plain,
( ! [X0] : multiply(multiply(X0,multiply(sk_c2,sk_c8)),multiply(sk_c7,sk_c3)) = X0
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f1240,f2162]) ).
fof(f2533,plain,
( ! [X0] : multiply(multiply(X0,multiply(sk_c7,sk_c3)),multiply(sk_c2,sk_c8)) = X0
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f1157,f2162]) ).
fof(f2541,plain,
( ! [X0] : multiply(sk_c7,sk_c3) = multiply(X0,inverse(multiply(sk_c2,multiply(sk_c8,X0))))
| ~ spl0_1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2532,f3]) ).
fof(f2532,plain,
( ! [X0] : multiply(sk_c7,sk_c3) = multiply(X0,inverse(multiply(multiply(sk_c2,sk_c8),X0)))
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f1069,f2162]) ).
fof(f2531,plain,
( multiply(sk_c7,sk_c3) = inverse(multiply(sk_c2,sk_c8))
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f718,f2162]) ).
fof(f2540,plain,
( ! [X0] : multiply(multiply(sk_c7,sk_c3),multiply(sk_c2,multiply(sk_c8,X0))) = X0
| ~ spl0_1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2530,f3]) ).
fof(f2530,plain,
( ! [X0] : multiply(multiply(sk_c7,sk_c3),multiply(multiply(sk_c2,sk_c8),X0)) = X0
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f701,f2162]) ).
fof(f2529,plain,
( identity = multiply(multiply(sk_c7,sk_c3),multiply(sk_c2,sk_c8))
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f698,f2162]) ).
fof(f2539,plain,
( identity = multiply(multiply(sk_c2,sk_c8),multiply(sk_c7,sk_c3))
| ~ spl0_1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2528,f718]) ).
fof(f2528,plain,
( identity = multiply(inverse(inverse(multiply(sk_c2,sk_c8))),multiply(sk_c7,sk_c3))
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f628,f2162]) ).
fof(f2538,plain,
( ! [X0] : multiply(inverse(multiply(sk_c2,sk_c8)),X0) = multiply(sk_c7,multiply(sk_c3,X0))
| ~ spl0_1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2527,f3]) ).
fof(f2527,plain,
( ! [X0] : multiply(multiply(sk_c7,sk_c3),X0) = multiply(inverse(multiply(sk_c2,sk_c8)),X0)
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f221,f2162]) ).
fof(f2526,plain,
( multiply(sk_c7,sk_c3) = multiply(inverse(multiply(sk_c2,sk_c8)),identity)
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f211,f2162]) ).
fof(f2537,plain,
( ! [X0] : multiply(multiply(sk_c2,sk_c8),multiply(sk_c7,multiply(sk_c3,X0))) = X0
| ~ spl0_1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2525,f3]) ).
fof(f2525,plain,
( ! [X0] : multiply(multiply(sk_c2,sk_c8),multiply(multiply(sk_c7,sk_c3),X0)) = X0
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f64,f2162]) ).
fof(f2524,plain,
( identity = multiply(multiply(sk_c2,sk_c8),multiply(sk_c7,sk_c3))
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f2,f2162]) ).
fof(f2512,plain,
( ! [X0] : multiply(multiply(X0,multiply(sk_c3,sk_c8)),multiply(sk_c7,sk_c2)) = X0
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f1240,f2160]) ).
fof(f2511,plain,
( ! [X0] : multiply(multiply(X0,multiply(sk_c7,sk_c2)),multiply(sk_c3,sk_c8)) = X0
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f1157,f2160]) ).
fof(f2519,plain,
( ! [X0] : multiply(sk_c7,sk_c2) = multiply(X0,inverse(multiply(sk_c3,multiply(sk_c8,X0))))
| ~ spl0_1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2510,f3]) ).
fof(f2510,plain,
( ! [X0] : multiply(sk_c7,sk_c2) = multiply(X0,inverse(multiply(multiply(sk_c3,sk_c8),X0)))
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f1069,f2160]) ).
fof(f2518,plain,
( ! [X0] : multiply(multiply(sk_c7,sk_c2),multiply(sk_c3,multiply(sk_c8,X0))) = X0
| ~ spl0_1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2508,f3]) ).
fof(f2508,plain,
( ! [X0] : multiply(multiply(sk_c7,sk_c2),multiply(multiply(sk_c3,sk_c8),X0)) = X0
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f701,f2160]) ).
fof(f2507,plain,
( identity = multiply(multiply(sk_c7,sk_c2),multiply(sk_c3,sk_c8))
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f698,f2160]) ).
fof(f2517,plain,
( identity = multiply(multiply(sk_c3,sk_c8),multiply(sk_c7,sk_c2))
| ~ spl0_1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2506,f718]) ).
fof(f2506,plain,
( identity = multiply(inverse(inverse(multiply(sk_c3,sk_c8))),multiply(sk_c7,sk_c2))
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f628,f2160]) ).
fof(f2515,plain,
( ! [X0] : multiply(multiply(sk_c3,sk_c8),multiply(sk_c7,multiply(sk_c2,X0))) = X0
| ~ spl0_1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2503,f3]) ).
fof(f2503,plain,
( ! [X0] : multiply(multiply(sk_c3,sk_c8),multiply(multiply(sk_c7,sk_c2),X0)) = X0
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f64,f2160]) ).
fof(f2502,plain,
( identity = multiply(multiply(sk_c3,sk_c8),multiply(sk_c7,sk_c2))
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f2,f2160]) ).
fof(f2458,plain,
( inverse(multiply(sk_c7,sk_c3)) = multiply(sk_c2,sk_c8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7 ),
inference(superposition,[],[f1507,f2109]) ).
fof(f2457,plain,
( multiply(sk_c2,sk_c7) = inverse(multiply(sk_c8,sk_c3))
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f1242,f2109]) ).
fof(f2405,plain,
( ! [X0] : multiply(multiply(X0,multiply(sk_c8,sk_c2)),multiply(sk_c3,sk_c7)) = X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7 ),
inference(superposition,[],[f1240,f2088]) ).
fof(f2404,plain,
( ! [X0] : multiply(multiply(X0,multiply(sk_c3,sk_c7)),multiply(sk_c8,sk_c2)) = X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7 ),
inference(superposition,[],[f1157,f2088]) ).
fof(f2412,plain,
( ! [X0] : multiply(sk_c3,sk_c7) = multiply(X0,inverse(multiply(sk_c8,multiply(sk_c2,X0))))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2403,f3]) ).
fof(f2403,plain,
( ! [X0] : multiply(sk_c3,sk_c7) = multiply(X0,inverse(multiply(multiply(sk_c8,sk_c2),X0)))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7 ),
inference(superposition,[],[f1069,f2088]) ).
fof(f2402,plain,
( multiply(sk_c3,sk_c7) = inverse(multiply(sk_c8,sk_c2))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7 ),
inference(superposition,[],[f718,f2088]) ).
fof(f2411,plain,
( ! [X0] : multiply(multiply(sk_c3,sk_c7),multiply(sk_c8,multiply(sk_c2,X0))) = X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2401,f3]) ).
fof(f2401,plain,
( ! [X0] : multiply(multiply(sk_c3,sk_c7),multiply(multiply(sk_c8,sk_c2),X0)) = X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7 ),
inference(superposition,[],[f701,f2088]) ).
fof(f2400,plain,
( identity = multiply(multiply(sk_c3,sk_c7),multiply(sk_c8,sk_c2))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7 ),
inference(superposition,[],[f698,f2088]) ).
fof(f2410,plain,
( identity = multiply(multiply(sk_c8,sk_c2),multiply(sk_c3,sk_c7))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2399,f718]) ).
fof(f2399,plain,
( identity = multiply(inverse(inverse(multiply(sk_c8,sk_c2))),multiply(sk_c3,sk_c7))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7 ),
inference(superposition,[],[f628,f2088]) ).
fof(f2409,plain,
( ! [X0] : multiply(inverse(multiply(sk_c8,sk_c2)),X0) = multiply(sk_c3,multiply(sk_c7,X0))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2398,f3]) ).
fof(f2398,plain,
( ! [X0] : multiply(multiply(sk_c3,sk_c7),X0) = multiply(inverse(multiply(sk_c8,sk_c2)),X0)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7 ),
inference(superposition,[],[f221,f2088]) ).
fof(f2397,plain,
( multiply(sk_c3,sk_c7) = multiply(inverse(multiply(sk_c8,sk_c2)),identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7 ),
inference(superposition,[],[f211,f2088]) ).
fof(f2408,plain,
( ! [X0] : multiply(multiply(sk_c8,sk_c2),multiply(sk_c3,multiply(sk_c7,X0))) = X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2396,f3]) ).
fof(f2396,plain,
( ! [X0] : multiply(multiply(sk_c8,sk_c2),multiply(multiply(sk_c3,sk_c7),X0)) = X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7 ),
inference(superposition,[],[f64,f2088]) ).
fof(f2395,plain,
( identity = multiply(multiply(sk_c8,sk_c2),multiply(sk_c3,sk_c7))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7 ),
inference(superposition,[],[f2,f2088]) ).
fof(f2088,plain,
( multiply(sk_c8,sk_c2) = inverse(multiply(sk_c3,sk_c7))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7 ),
inference(superposition,[],[f338,f1933]) ).
fof(f2384,plain,
( ! [X0] : multiply(multiply(X0,multiply(sk_c7,sk_c2)),multiply(sk_c3,sk_c8)) = X0
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f1240,f2087]) ).
fof(f2383,plain,
( ! [X0] : multiply(multiply(X0,multiply(sk_c3,sk_c8)),multiply(sk_c7,sk_c2)) = X0
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f1157,f2087]) ).
fof(f2391,plain,
( ! [X0] : multiply(sk_c3,sk_c8) = multiply(X0,inverse(multiply(sk_c7,multiply(sk_c2,X0))))
| ~ spl0_1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2382,f3]) ).
fof(f2382,plain,
( ! [X0] : multiply(sk_c3,sk_c8) = multiply(X0,inverse(multiply(multiply(sk_c7,sk_c2),X0)))
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f1069,f2087]) ).
fof(f2381,plain,
( multiply(sk_c3,sk_c8) = inverse(multiply(sk_c7,sk_c2))
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f718,f2087]) ).
fof(f2390,plain,
( ! [X0] : multiply(multiply(sk_c3,sk_c8),multiply(sk_c7,multiply(sk_c2,X0))) = X0
| ~ spl0_1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2380,f3]) ).
fof(f2380,plain,
( ! [X0] : multiply(multiply(sk_c3,sk_c8),multiply(multiply(sk_c7,sk_c2),X0)) = X0
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f701,f2087]) ).
fof(f2379,plain,
( identity = multiply(multiply(sk_c3,sk_c8),multiply(sk_c7,sk_c2))
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f698,f2087]) ).
fof(f2389,plain,
( identity = multiply(multiply(sk_c7,sk_c2),multiply(sk_c3,sk_c8))
| ~ spl0_1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2378,f718]) ).
fof(f2378,plain,
( identity = multiply(inverse(inverse(multiply(sk_c7,sk_c2))),multiply(sk_c3,sk_c8))
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f628,f2087]) ).
fof(f2388,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c8,X0)) = multiply(inverse(multiply(sk_c7,sk_c2)),X0)
| ~ spl0_1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2377,f3]) ).
fof(f2377,plain,
( ! [X0] : multiply(multiply(sk_c3,sk_c8),X0) = multiply(inverse(multiply(sk_c7,sk_c2)),X0)
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f221,f2087]) ).
fof(f2376,plain,
( multiply(sk_c3,sk_c8) = multiply(inverse(multiply(sk_c7,sk_c2)),identity)
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f211,f2087]) ).
fof(f2387,plain,
( ! [X0] : multiply(multiply(sk_c7,sk_c2),multiply(sk_c3,multiply(sk_c8,X0))) = X0
| ~ spl0_1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2375,f3]) ).
fof(f2375,plain,
( ! [X0] : multiply(multiply(sk_c7,sk_c2),multiply(multiply(sk_c3,sk_c8),X0)) = X0
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f64,f2087]) ).
fof(f2374,plain,
( identity = multiply(multiply(sk_c7,sk_c2),multiply(sk_c3,sk_c8))
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f2,f2087]) ).
fof(f2087,plain,
( inverse(multiply(sk_c3,sk_c8)) = multiply(sk_c7,sk_c2)
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f318,f1933]) ).
fof(f2362,plain,
( inverse(multiply(sk_c2,sk_c7)) = multiply(sk_c8,sk_c3)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2322,f400]) ).
fof(f2322,plain,
( multiply(sk_c8,sk_c3) = inverse(multiply(sk_c2,sk_c4))
| ~ spl0_2
| ~ spl0_7 ),
inference(superposition,[],[f67,f1648]) ).
fof(f2360,plain,
( sk_c8 = multiply(inverse(multiply(sk_c2,sk_c7)),sk_c2)
| ~ spl0_1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2319,f1635]) ).
fof(f2319,plain,
( sk_c8 = multiply(inverse(multiply(sk_c2,sk_c7)),inverse(sk_c3))
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f1375,f1648]) ).
fof(f2359,plain,
( sk_c7 = multiply(inverse(multiply(sk_c2,sk_c8)),sk_c2)
| ~ spl0_1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2317,f1635]) ).
fof(f2317,plain,
( sk_c7 = multiply(inverse(multiply(sk_c2,sk_c8)),inverse(sk_c3))
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f1382,f1648]) ).
fof(f2344,plain,
( sk_c3 = multiply(inverse(multiply(sk_c7,sk_c2)),sk_c7)
| ~ spl0_1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2300,f44]) ).
fof(f2300,plain,
( sk_c3 = multiply(inverse(multiply(sk_c7,sk_c2)),inverse(sk_c8))
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f1648,f1375]) ).
fof(f2343,plain,
( sk_c3 = multiply(inverse(multiply(sk_c8,sk_c2)),sk_c8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2299,f405]) ).
fof(f2299,plain,
( sk_c3 = multiply(inverse(multiply(sk_c8,sk_c2)),inverse(sk_c7))
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f1648,f1382]) ).
fof(f2285,plain,
( sk_c2 = multiply(inverse(multiply(sk_c8,sk_c3)),sk_c8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2239,f405]) ).
fof(f2239,plain,
( sk_c2 = multiply(inverse(multiply(sk_c8,sk_c3)),inverse(sk_c7))
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f1933,f1382]) ).
fof(f2263,plain,
( sk_c7 = multiply(inverse(multiply(sk_c3,sk_c8)),sk_c3)
| ~ spl0_1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2217,f1622]) ).
fof(f2217,plain,
( sk_c7 = multiply(inverse(multiply(sk_c3,sk_c8)),inverse(sk_c2))
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f1382,f1933]) ).
fof(f2200,plain,
( sk_c2 = multiply(inverse(multiply(sk_c7,sk_c3)),sk_c7)
| ~ spl0_1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2161,f44]) ).
fof(f2161,plain,
( sk_c2 = multiply(inverse(multiply(sk_c7,sk_c3)),inverse(sk_c8))
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f1933,f1375]) ).
fof(f2181,plain,
( sk_c8 = multiply(inverse(multiply(sk_c3,sk_c7)),sk_c3)
| ~ spl0_1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2140,f1622]) ).
fof(f2140,plain,
( sk_c8 = multiply(inverse(multiply(sk_c3,sk_c7)),inverse(sk_c2))
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f1375,f1933]) ).
fof(f2123,plain,
( multiply(sk_c8,sk_c2) = inverse(multiply(sk_c3,sk_c7))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2090,f400]) ).
fof(f2090,plain,
( multiply(sk_c8,sk_c2) = inverse(multiply(sk_c3,sk_c4))
| ~ spl0_2
| ~ spl0_7 ),
inference(superposition,[],[f67,f1933]) ).
fof(f1879,plain,
( identity = sk_c7
| identity = sk_c6
| ~ spl0_1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1565,f1633]) ).
fof(f2593,plain,
( sk_c8 = multiply(sk_c7,sk_c7)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f2591]) ).
fof(f3262,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3261]) ).
fof(f3261,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f2617,f30,f15,f20,f10,f25,f35,f1,f2,f5,f48,f50,f3,f67,f64,f213,f233,f216,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f37,f33,f31,f29,f27,f22,f18,f16,f14,f12,f8,f6,f4,f32,f7,f44,f319,f322,f323,f320,f324,f332,f318,f333,f335,f326,f341,f327,f343,f345,f330,f346,f349,f338,f351,f210,f359,f17,f365,f371,f372,f376,f378,f377,f329,f388,f389,f384,f398,f395,f401,f400,f405,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1476,f1410,f1409,f1407,f1398,f1497,f1498,f1499,f1501,f1502,f1379,f1503,f1504,f1376,f1341,f1335,f1505,f1356,f1352,f1320,f1319,f1506,f1243,f1223,f1222,f1269,f1508,f1219,f1218,f1509,f1511,f1512,f1214,f1252,f1513,f1114,f1113,f1111,f1104,f1515,f1517,f1519,f1520,f1522,f1523,f1092,f1524,f1529,f1530,f1123,f1046,f1045,f1044,f1043,f1042,f1035,f1034,f1033,f1032,f933,f1538,f1539,f1019,f927,f1540,f923,f922,f1005,f1546,f902,f807,f801,f1552,f1555,f1556,f1557,f1558,f732,f731,f1559,f721,f720,f682,f679,f1562,f1564,f659,f1565,f1566,f1567,f1568,f1569,f1570,f1575,f1576,f1578,f1579,f1580,f1031,f1577,f1622,f1630,f1631,f1639,f1636,f1638,f1635,f1640,f1641,f1652,f1645,f1646,f1650,f1628,f1664,f1633,f1677,f1571,f1879,f1563,f1626,f1629,f1899,f1900,f1904,f1634,f1923,f1924,f1928,f1242,f1951,f1954,f1955,f1956,f1957,f1507,f1978,f1981,f1982,f1983,f1984,f1637,f2005,f2008,f2009,f2010,f2011,f1649,f2031,f2034,f2035,f2036,f2037,f1933,f2071,f2110,f2080,f2123,f2126,f2127,f2096,f2097,f2129,f2100,f2101,f1375,f2138,f2180,f2181,f2149,f2199,f2200,f2202,f2203,f2166,f2167,f2205,f2170,f2171,f1382,f2214,f2260,f2263,f2226,f2285,f2287,f2288,f2244,f2245,f2290,f2248,f2249,f1648,f2298,f2343,f2344,f2345,f2310,f2359,f2360,f2362,f2367,f2368,f2329,f2330,f2370,f2333,f2334,f2087,f2374,f2387,f2376,f2388,f2389,f2379,f2390,f2381,f2391,f2383,f2384,f2088,f2395,f2408,f2397,f2409,f2410,f2400,f2411,f2402,f2412,f2404,f2405,f2092,f2416,f2429,f2418,f2430,f2431,f2421,f2432,f2423,f2433,f2425,f2426,f2109,f2445,f2450,f2454,f2456,f2457,f2458,f2157,f2481,f2494,f2483,f2495,f2496,f2486,f2497,f2488,f2498,f2490,f2491,f2160,f2502,f2515,f2517,f2507,f2518,f2519,f2511,f2512,f2162,f2524,f2537,f2526,f2538,f2539,f2529,f2540,f2531,f2541,f2533,f2534,f2179,f2554,f2560,f2564,f2566,f2569,f2589,f2238,f2638,f2651,f2655,f2643,f2656,f2657,f2647,f2648,f2240,f2662,f2675,f2664,f2676,f2677,f2667,f2678,f2669,f2679,f2671,f2672,f2259,f2695,f2700,f2704,f2706,f2710,f2318,f2746,f2759,f2763,f2751,f2764,f2765,f2755,f2756,f2320,f2770,f2783,f2785,f2775,f2786,f2787,f2779,f2780,f2323,f2791,f2804,f2808,f2796,f2809,f2810,f2800,f2801,f2342,f2825,f2832,f2836,f2838,f2874,f2233,f669,f2707,f3245,f2881,f3247,f3253,f3256,f2596]) ).
fof(f2617,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2607,f405]) ).
fof(f2607,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c8)
| ~ spl0_9 ),
inference(superposition,[],[f64,f2593]) ).
fof(f3260,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3259]) ).
fof(f3259,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f30,f15,f20,f10,f25,f35,f1,f2,f5,f48,f50,f3,f67,f64,f213,f233,f216,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f37,f33,f31,f29,f27,f22,f18,f16,f14,f12,f8,f6,f4,f32,f7,f44,f319,f322,f323,f320,f324,f332,f318,f333,f335,f326,f341,f327,f343,f345,f330,f346,f349,f338,f351,f210,f359,f17,f365,f371,f372,f376,f378,f377,f329,f388,f389,f384,f398,f395,f401,f400,f405,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1476,f1410,f1409,f1407,f1398,f1497,f1498,f1499,f1501,f1502,f1379,f1503,f1504,f1376,f1341,f1335,f1505,f1356,f1352,f1320,f1319,f1506,f1243,f1223,f1222,f1269,f1508,f1219,f1218,f1509,f1511,f1512,f1214,f1252,f1513,f1114,f1113,f1111,f1104,f1515,f1517,f1519,f1520,f1522,f1523,f1092,f1524,f1529,f1530,f1123,f1046,f1045,f1044,f1043,f1042,f1035,f1034,f1033,f1032,f933,f1538,f1539,f1019,f927,f1540,f923,f922,f1005,f1546,f902,f807,f801,f1552,f1555,f1556,f1557,f1558,f732,f731,f1559,f721,f720,f682,f679,f1562,f1564,f659,f1565,f1566,f1567,f1568,f1569,f1570,f1575,f1576,f1578,f1579,f1580,f1031,f1577,f1622,f1630,f1631,f1639,f1636,f1638,f1635,f1640,f1641,f1652,f1645,f1646,f1650,f1628,f1664,f1633,f1677,f1571,f1879,f1563,f1626,f1629,f1899,f1900,f1904,f1634,f1923,f1924,f1928,f1242,f1951,f1954,f1955,f1956,f1957,f1507,f1978,f1981,f1982,f1983,f1984,f1637,f2005,f2008,f2009,f2010,f2011,f1649,f2031,f2034,f2035,f2036,f2037,f1933,f2071,f2110,f2080,f2123,f2126,f2127,f2096,f2097,f2129,f2100,f2101,f1375,f2138,f2180,f2181,f2149,f2199,f2200,f2202,f2203,f2166,f2167,f2205,f2170,f2171,f1382,f2214,f2260,f2263,f2226,f2285,f2287,f2288,f2244,f2245,f2290,f2248,f2249,f1648,f2298,f2343,f2344,f2345,f2310,f2359,f2360,f2362,f2367,f2368,f2329,f2330,f2370,f2333,f2334,f2087,f2374,f2387,f2376,f2388,f2389,f2379,f2390,f2381,f2391,f2383,f2384,f2088,f2395,f2408,f2397,f2409,f2410,f2400,f2411,f2402,f2412,f2404,f2405,f2092,f2416,f2429,f2418,f2430,f2431,f2421,f2432,f2423,f2433,f2425,f2426,f2109,f2445,f2450,f2454,f2456,f2457,f2458,f2157,f2481,f2494,f2483,f2495,f2496,f2486,f2497,f2488,f2498,f2490,f2491,f2160,f2502,f2515,f2517,f2507,f2518,f2519,f2511,f2512,f2162,f2524,f2537,f2526,f2538,f2539,f2529,f2540,f2531,f2541,f2533,f2534,f2179,f2554,f2560,f2564,f2566,f2569,f2589,f2238,f2638,f2651,f2655,f2643,f2656,f2657,f2647,f2648,f2240,f2662,f2675,f2664,f2676,f2677,f2667,f2678,f2669,f2679,f2671,f2672,f2259,f2695,f2700,f2704,f2706,f2710,f2318,f2746,f2759,f2763,f2751,f2764,f2765,f2755,f2756,f2320,f2770,f2783,f2785,f2775,f2786,f2787,f2779,f2780,f2323,f2791,f2804,f2808,f2796,f2809,f2810,f2800,f2801,f2342,f2825,f2832,f2836,f2838,f2874,f2233,f669,f2707,f3245,f2881,f3247,f3253,f3256,f2596]) ).
fof(f3258,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3257]) ).
fof(f3257,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f30,f15,f20,f10,f25,f35,f1,f2,f5,f48,f50,f3,f67,f64,f213,f233,f216,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f37,f33,f31,f29,f27,f22,f18,f16,f14,f12,f8,f6,f4,f32,f7,f44,f319,f322,f323,f320,f324,f332,f318,f333,f335,f326,f341,f327,f343,f345,f330,f346,f349,f338,f351,f210,f359,f17,f365,f371,f372,f376,f378,f377,f329,f388,f389,f384,f398,f395,f401,f400,f405,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1476,f1410,f1409,f1407,f1398,f1497,f1498,f1499,f1501,f1502,f1379,f1503,f1504,f1376,f1341,f1335,f1505,f1356,f1352,f1320,f1319,f1506,f1243,f1223,f1222,f1269,f1508,f1219,f1218,f1509,f1511,f1512,f1214,f1252,f1513,f1114,f1113,f1111,f1104,f1515,f1517,f1519,f1520,f1522,f1523,f1092,f1524,f1529,f1530,f1123,f1046,f1045,f1044,f1043,f1042,f1035,f1034,f1033,f1032,f933,f1538,f1539,f1019,f927,f1540,f923,f922,f1005,f1546,f902,f807,f801,f1552,f1555,f1556,f1557,f1558,f732,f731,f1559,f721,f720,f682,f679,f1562,f1564,f659,f1565,f1566,f1567,f1568,f1569,f1570,f1575,f1576,f1578,f1579,f1580,f1031,f1577,f1622,f1630,f1631,f1639,f1636,f1638,f1635,f1640,f1641,f1652,f1645,f1646,f1650,f1628,f1664,f1633,f1677,f1571,f1879,f1563,f1626,f1629,f1899,f1900,f1904,f1634,f1923,f1924,f1928,f1242,f1951,f1954,f1955,f1956,f1957,f1507,f1978,f1981,f1982,f1983,f1984,f1637,f2005,f2008,f2009,f2010,f2011,f1649,f2031,f2034,f2035,f2036,f2037,f1933,f2071,f2110,f2080,f2123,f2126,f2127,f2096,f2097,f2129,f2100,f2101,f1375,f2138,f2180,f2181,f2149,f2199,f2200,f2202,f2203,f2166,f2167,f2205,f2170,f2171,f1382,f2214,f2260,f2263,f2226,f2285,f2287,f2288,f2244,f2245,f2290,f2248,f2249,f1648,f2298,f2343,f2344,f2345,f2310,f2359,f2360,f2362,f2367,f2368,f2329,f2330,f2370,f2333,f2334,f2087,f2374,f2387,f2376,f2388,f2389,f2379,f2390,f2381,f2391,f2383,f2384,f2088,f2395,f2408,f2397,f2409,f2410,f2400,f2411,f2402,f2412,f2404,f2405,f2092,f2416,f2429,f2418,f2430,f2431,f2421,f2432,f2423,f2433,f2425,f2426,f2109,f2445,f2450,f2454,f2456,f2457,f2458,f2157,f2481,f2494,f2483,f2495,f2496,f2486,f2497,f2488,f2498,f2490,f2491,f2160,f2502,f2515,f2517,f2507,f2518,f2519,f2511,f2512,f2162,f2524,f2537,f2526,f2538,f2539,f2529,f2540,f2531,f2541,f2533,f2534,f2179,f2554,f2560,f2564,f2566,f2569,f2589,f2596,f2238,f2638,f2651,f2655,f2643,f2656,f2657,f2647,f2648,f2240,f2662,f2675,f2664,f2676,f2677,f2667,f2678,f2669,f2679,f2671,f2672,f2259,f2695,f2700,f2704,f2706,f2710,f2318,f2746,f2759,f2763,f2751,f2764,f2765,f2755,f2756,f2320,f2770,f2783,f2785,f2775,f2786,f2787,f2779,f2780,f2323,f2791,f2804,f2808,f2796,f2809,f2810,f2800,f2801,f2342,f2825,f2832,f2836,f2838,f2874,f2233,f669,f2707,f3245,f2881,f3247,f3253,f3256]) ).
fof(f3255,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3254]) ).
fof(f3254,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f30,f15,f20,f10,f25,f35,f1,f2,f5,f48,f50,f3,f67,f64,f213,f233,f216,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f37,f33,f31,f29,f27,f22,f18,f16,f14,f12,f8,f6,f4,f32,f7,f44,f319,f322,f323,f320,f324,f332,f318,f333,f335,f326,f341,f327,f343,f345,f330,f346,f349,f338,f351,f210,f359,f17,f365,f371,f372,f376,f378,f377,f329,f388,f389,f384,f398,f395,f401,f400,f405,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1476,f1410,f1409,f1407,f1398,f1497,f1498,f1499,f1501,f1502,f1379,f1503,f1504,f1376,f1341,f1335,f1505,f1356,f1352,f1320,f1319,f1506,f1243,f1223,f1222,f1269,f1508,f1219,f1218,f1509,f1511,f1512,f1214,f1252,f1513,f1114,f1113,f1111,f1104,f1515,f1517,f1519,f1520,f1522,f1523,f1092,f1524,f1529,f1530,f1123,f1046,f1045,f1044,f1043,f1042,f1035,f1034,f1033,f1032,f933,f1538,f1539,f1019,f927,f1540,f923,f922,f1005,f1546,f902,f807,f801,f1552,f1555,f1556,f1557,f1558,f732,f731,f1559,f721,f720,f682,f679,f1562,f1564,f659,f1565,f1566,f1567,f1568,f1569,f1570,f1575,f1576,f1578,f1579,f1580,f1031,f1577,f1622,f1630,f1631,f1639,f1636,f1638,f1635,f1640,f1641,f1652,f1645,f1646,f1650,f1628,f1664,f1633,f1677,f1571,f1879,f1563,f1626,f1629,f1899,f1900,f1904,f1634,f1923,f1924,f1928,f1242,f1951,f1954,f1955,f1956,f1957,f1507,f1978,f1981,f1982,f1983,f1984,f1637,f2005,f2008,f2009,f2010,f2011,f1649,f2031,f2034,f2035,f2036,f2037,f1933,f2071,f2110,f2080,f2123,f2126,f2127,f2096,f2097,f2129,f2100,f2101,f1375,f2138,f2180,f2181,f2149,f2199,f2200,f2202,f2203,f2166,f2167,f2205,f2170,f2171,f1382,f2214,f2260,f2263,f2226,f2285,f2287,f2288,f2244,f2245,f2290,f2248,f2249,f1648,f2298,f2343,f2344,f2345,f2310,f2359,f2360,f2362,f2367,f2368,f2329,f2330,f2370,f2333,f2334,f2087,f2374,f2387,f2376,f2388,f2389,f2379,f2390,f2381,f2391,f2383,f2384,f2088,f2395,f2408,f2397,f2409,f2410,f2400,f2411,f2402,f2412,f2404,f2405,f2092,f2416,f2429,f2418,f2430,f2431,f2421,f2432,f2423,f2433,f2425,f2426,f2109,f2445,f2450,f2454,f2456,f2457,f2458,f2157,f2481,f2494,f2483,f2495,f2496,f2486,f2497,f2488,f2498,f2490,f2491,f2160,f2502,f2515,f2517,f2507,f2518,f2519,f2511,f2512,f2162,f2524,f2537,f2526,f2538,f2539,f2529,f2540,f2531,f2541,f2533,f2534,f2179,f2554,f2560,f2564,f2566,f2569,f2589,f2596,f2238,f2638,f2651,f2655,f2643,f2656,f2657,f2647,f2648,f2240,f2662,f2675,f2664,f2676,f2677,f2667,f2678,f2669,f2679,f2671,f2672,f2259,f2695,f2700,f2704,f2706,f2710,f2318,f2746,f2759,f2763,f2751,f2764,f2765,f2755,f2756,f2320,f2770,f2783,f2785,f2775,f2786,f2787,f2779,f2780,f2323,f2791,f2804,f2808,f2796,f2809,f2810,f2800,f2801,f2342,f2825,f2832,f2836,f2838,f2874,f2233,f669,f2707,f3245,f2881,f3247,f3253]) ).
fof(f3252,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3251]) ).
fof(f3251,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f3250,f30,f15,f20,f10,f25,f35,f1,f2,f5,f48,f50,f3,f67,f64,f213,f233,f216,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f37,f33,f31,f29,f27,f22,f18,f16,f14,f12,f8,f6,f4,f32,f7,f44,f319,f322,f323,f320,f324,f332,f318,f333,f335,f326,f341,f327,f343,f345,f330,f346,f349,f338,f351,f210,f359,f17,f365,f371,f372,f376,f378,f377,f329,f388,f389,f384,f398,f395,f401,f400,f405,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1476,f1410,f1409,f1407,f1398,f1497,f1498,f1499,f1501,f1502,f1379,f1503,f1504,f1376,f1341,f1335,f1505,f1356,f1352,f1320,f1319,f1506,f1243,f1223,f1222,f1269,f1508,f1219,f1218,f1509,f1511,f1512,f1214,f1252,f1513,f1114,f1113,f1111,f1104,f1515,f1517,f1519,f1520,f1522,f1523,f1092,f1524,f1529,f1530,f1123,f1046,f1045,f1044,f1043,f1042,f1035,f1034,f1033,f1032,f933,f1538,f1539,f1019,f927,f1540,f923,f922,f1005,f1546,f902,f807,f801,f1552,f1555,f1556,f1557,f1558,f732,f731,f1559,f721,f720,f682,f679,f1562,f1564,f659,f1565,f1566,f1567,f1568,f1569,f1570,f1575,f1576,f1578,f1579,f1580,f1031,f1577,f1622,f1630,f1631,f1639,f1636,f1638,f1635,f1640,f1641,f1652,f1645,f1646,f1650,f1628,f1664,f1633,f1677,f1571,f1879,f1563,f1626,f1629,f1899,f1900,f1904,f1634,f1923,f1924,f1928,f1242,f1951,f1954,f1955,f1956,f1957,f1507,f1978,f1981,f1982,f1983,f1984,f1637,f2005,f2008,f2009,f2010,f2011,f1649,f2031,f2034,f2035,f2036,f2037,f1933,f2071,f2110,f2080,f2123,f2126,f2127,f2096,f2097,f2129,f2100,f2101,f1375,f2138,f2180,f2181,f2149,f2199,f2200,f2202,f2203,f2166,f2167,f2205,f2170,f2171,f1382,f2214,f2260,f2263,f2226,f2285,f2287,f2288,f2244,f2245,f2290,f2248,f2249,f1648,f2298,f2343,f2344,f2345,f2310,f2359,f2360,f2362,f2367,f2368,f2329,f2330,f2370,f2333,f2334,f2087,f2374,f2387,f2376,f2388,f2389,f2379,f2390,f2381,f2391,f2383,f2384,f2088,f2395,f2408,f2397,f2409,f2410,f2400,f2411,f2402,f2412,f2404,f2405,f2092,f2416,f2429,f2418,f2430,f2431,f2421,f2432,f2423,f2433,f2425,f2426,f2109,f2445,f2450,f2454,f2456,f2457,f2458,f2157,f2481,f2494,f2483,f2495,f2496,f2486,f2497,f2488,f2498,f2490,f2491,f2160,f2502,f2515,f2517,f2507,f2518,f2519,f2511,f2512,f2162,f2524,f2537,f2526,f2538,f2539,f2529,f2540,f2531,f2541,f2533,f2534,f2179,f2554,f2560,f2564,f2566,f2569,f2589,f2596,f2238,f2638,f2651,f2655,f2643,f2656,f2657,f2647,f2648,f2240,f2662,f2675,f2664,f2676,f2677,f2667,f2678,f2669,f2679,f2671,f2672,f2259,f2695,f2700,f2704,f2706,f2710,f2318,f2746,f2759,f2763,f2751,f2764,f2765,f2755,f2756,f2320,f2770,f2783,f2785,f2775,f2786,f2787,f2779,f2780,f2323,f2791,f2804,f2808,f2796,f2809,f2810,f2800,f2801,f2342,f2825,f2832,f2836,f2838,f2874,f2233,f669,f2707,f3245,f2881,f3247]) ).
fof(f3250,plain,
( sk_c8 = multiply(sk_c7,sk_c7)
| sk_c8 = sk_c7
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[],[f3117,f1594]) ).
fof(f3117,plain,
( sk_c8 = sk_c7
| sk_c8 = multiply(sk_c1,sk_c7)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_8 ),
inference(forward_demodulation,[],[f3116,f351]) ).
fof(f3116,plain,
( sk_c7 = multiply(sk_c8,identity)
| sk_c8 = multiply(sk_c1,sk_c7)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1566,f1626]) ).
fof(f3249,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3248]) ).
fof(f3248,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f30,f15,f20,f10,f25,f35,f1,f2,f5,f48,f50,f3,f67,f64,f213,f233,f216,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f37,f33,f31,f29,f27,f22,f18,f16,f14,f12,f8,f6,f4,f32,f7,f44,f319,f322,f323,f320,f324,f332,f318,f333,f335,f326,f341,f327,f343,f345,f330,f346,f349,f338,f351,f210,f359,f17,f365,f371,f372,f376,f378,f377,f329,f388,f389,f384,f398,f395,f401,f400,f405,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1476,f1410,f1409,f1407,f1398,f1497,f1498,f1499,f1501,f1502,f1379,f1503,f1504,f1376,f1341,f1335,f1505,f1356,f1352,f1320,f1319,f1506,f1243,f1223,f1222,f1269,f1508,f1219,f1218,f1509,f1511,f1512,f1214,f1252,f1513,f1114,f1113,f1111,f1104,f1515,f1517,f1519,f1520,f1522,f1523,f1092,f1524,f1529,f1530,f1123,f1046,f1045,f1044,f1043,f1042,f1035,f1034,f1033,f1032,f933,f1538,f1539,f1019,f927,f1540,f923,f922,f1005,f1546,f902,f807,f801,f1552,f1555,f1556,f1557,f1558,f732,f731,f1559,f721,f720,f682,f679,f1562,f1564,f659,f1565,f1566,f1567,f1568,f1569,f1570,f1575,f1576,f1578,f1579,f1580,f1031,f1577,f1622,f1630,f1631,f1639,f1636,f1638,f1635,f1640,f1641,f1652,f1645,f1646,f1650,f1628,f1664,f1633,f1677,f1571,f1879,f1563,f1626,f1629,f1899,f1900,f1904,f1634,f1923,f1924,f1928,f1242,f1951,f1954,f1955,f1956,f1957,f1507,f1978,f1981,f1982,f1983,f1984,f1637,f2005,f2008,f2009,f2010,f2011,f1649,f2031,f2034,f2035,f2036,f2037,f1933,f2071,f2110,f2080,f2123,f2126,f2127,f2096,f2097,f2129,f2100,f2101,f1375,f2138,f2180,f2181,f2149,f2199,f2200,f2202,f2203,f2166,f2167,f2205,f2170,f2171,f1382,f2214,f2260,f2263,f2226,f2285,f2287,f2288,f2244,f2245,f2290,f2248,f2249,f1648,f2298,f2343,f2344,f2345,f2310,f2359,f2360,f2362,f2367,f2368,f2329,f2330,f2370,f2333,f2334,f2087,f2374,f2387,f2376,f2388,f2389,f2379,f2390,f2381,f2391,f2383,f2384,f2088,f2395,f2408,f2397,f2409,f2410,f2400,f2411,f2402,f2412,f2404,f2405,f2092,f2416,f2429,f2418,f2430,f2431,f2421,f2432,f2423,f2433,f2425,f2426,f2109,f2445,f2450,f2454,f2456,f2457,f2458,f2157,f2481,f2494,f2483,f2495,f2496,f2486,f2497,f2488,f2498,f2490,f2491,f2160,f2502,f2515,f2517,f2507,f2518,f2519,f2511,f2512,f2162,f2524,f2537,f2526,f2538,f2539,f2529,f2540,f2531,f2541,f2533,f2534,f2179,f2554,f2560,f2564,f2566,f2569,f2589,f2596,f2238,f2638,f2651,f2655,f2643,f2656,f2657,f2647,f2648,f2240,f2662,f2675,f2664,f2676,f2677,f2667,f2678,f2669,f2679,f2671,f2672,f2259,f2695,f2700,f2704,f2706,f2710,f2318,f2746,f2759,f2763,f2751,f2764,f2765,f2755,f2756,f2320,f2770,f2783,f2785,f2775,f2786,f2787,f2779,f2780,f2323,f2791,f2804,f2808,f2796,f2809,f2810,f2800,f2801,f2342,f2825,f2832,f2836,f2838,f2874,f2233,f669,f2707,f3245,f2881,f3247]) ).
fof(f3239,plain,
( ~ spl0_1
| spl0_9
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3238]) ).
fof(f3238,plain,
( $false
| ~ spl0_1
| spl0_9
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f3237,f30,f15,f20,f10,f25,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f37,f33,f31,f29,f27,f22,f18,f16,f14,f12,f8,f6,f4,f32,f7,f44,f319,f322,f320,f318,f335,f327,f343,f345,f210,f359,f17,f329,f388,f389,f384,f398,f395,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1409,f1407,f1398,f1499,f1501,f1502,f1379,f1341,f1335,f1505,f1319,f1223,f1219,f1509,f1214,f1252,f1113,f1111,f1104,f1520,f1092,f1524,f1529,f1530,f1123,f1046,f1045,f1044,f1035,f1034,f1033,f933,f927,f1540,f923,f922,f1005,f1546,f902,f807,f801,f1552,f1558,f732,f731,f1559,f721,f720,f682,f679,f1565,f1568,f1580,f1577,f1571,f1563,f1242,f1951,f1954,f1955,f1956,f1957,f1375,f2138,f2180,f2149,f2202,f2203,f2166,f2167,f2205,f2170,f2171,f1382,f2214,f2226,f2233,f2244,f2245,f2248,f2249,f2179,f2554,f2560,f2564,f2566,f2259,f2695,f2700,f2704,f2706,f2597,f2990,f2977,f2987,f3007,f3006,f2978,f3024,f3013,f3001,f3193,f3223,f3233]) ).
fof(f3193,plain,
( identity != sk_c8
| ~ spl0_10
| spl0_12 ),
inference(forward_demodulation,[],[f2881,f2597]) ).
fof(f3235,plain,
( ~ spl0_1
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3234]) ).
fof(f3234,plain,
( $false
| ~ spl0_1
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f30,f15,f20,f10,f25,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f37,f33,f31,f29,f27,f22,f18,f16,f14,f12,f8,f6,f4,f32,f7,f44,f319,f322,f320,f318,f335,f327,f343,f345,f210,f359,f17,f329,f388,f389,f384,f398,f395,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1409,f1407,f1398,f1499,f1501,f1502,f1379,f1341,f1335,f1505,f1319,f1223,f1219,f1509,f1214,f1252,f1113,f1111,f1104,f1520,f1092,f1524,f1529,f1530,f1123,f1046,f1045,f1044,f1035,f1034,f1033,f933,f927,f1540,f923,f922,f1005,f1546,f902,f807,f801,f1552,f1558,f732,f731,f1559,f721,f720,f682,f679,f1565,f1568,f1580,f1577,f1571,f1563,f1242,f1951,f1954,f1955,f1956,f1957,f1375,f2138,f2180,f2149,f2202,f2203,f2166,f2167,f2205,f2170,f2171,f1382,f2214,f2226,f2233,f2244,f2245,f2248,f2249,f2179,f2554,f2560,f2564,f2566,f2259,f2695,f2700,f2704,f2706,f2597,f2990,f2977,f2987,f3007,f3006,f2978,f3024,f3013,f3001,f3193,f3223,f3233]) ).
fof(f3231,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3230]) ).
fof(f3230,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f3229,f30,f15,f20,f10,f25,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f37,f33,f31,f29,f27,f22,f18,f16,f14,f12,f8,f6,f4,f32,f7,f44,f319,f322,f320,f318,f335,f327,f343,f345,f210,f359,f17,f329,f388,f389,f384,f398,f395,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1409,f1407,f1398,f1499,f1501,f1502,f1379,f1341,f1335,f1505,f1319,f1223,f1219,f1509,f1214,f1252,f1113,f1111,f1104,f1520,f1092,f1524,f1529,f1530,f1123,f1046,f1045,f1044,f1035,f1034,f1033,f933,f927,f1540,f923,f922,f1005,f1546,f902,f807,f801,f1552,f1558,f732,f731,f1559,f721,f720,f682,f679,f1565,f1568,f1580,f1577,f1571,f1563,f1242,f1951,f1954,f1955,f1956,f1957,f1375,f2138,f2180,f2149,f2202,f2203,f2166,f2167,f2205,f2170,f2171,f1382,f2214,f2226,f2233,f2244,f2245,f2248,f2249,f2179,f2554,f2560,f2564,f2566,f2259,f2695,f2700,f2704,f2706,f2597,f2990,f2977,f2987,f3007,f3006,f2978,f3024,f3013,f3001,f3193,f3223]) ).
fof(f3229,plain,
( identity = multiply(sk_c3,sk_c8)
| identity = sk_c8
| ~ spl0_1
| ~ spl0_2
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3228,f2597]) ).
fof(f3228,plain,
( identity = sk_c8
| sk_c7 = multiply(sk_c3,sk_c8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3227,f1]) ).
fof(f3227,plain,
( sk_c8 = multiply(identity,identity)
| sk_c7 = multiply(sk_c3,sk_c8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_10 ),
inference(forward_demodulation,[],[f669,f2597]) ).
fof(f3225,plain,
( ~ spl0_1
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3224]) ).
fof(f3224,plain,
( $false
| ~ spl0_1
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f30,f15,f20,f10,f25,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f37,f33,f31,f29,f27,f22,f18,f16,f14,f12,f8,f6,f4,f32,f7,f44,f319,f322,f320,f318,f335,f327,f343,f345,f210,f359,f17,f329,f388,f389,f384,f398,f395,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1409,f1407,f1398,f1499,f1501,f1502,f1379,f1341,f1335,f1505,f1319,f1223,f1219,f1509,f1214,f1252,f1113,f1111,f1104,f1520,f1092,f1524,f1529,f1530,f1123,f1046,f1045,f1044,f1035,f1034,f1033,f933,f927,f1540,f923,f922,f1005,f1546,f902,f807,f801,f1552,f1558,f732,f731,f1559,f721,f720,f682,f679,f1565,f1568,f1580,f1577,f1571,f1563,f1242,f1951,f1954,f1955,f1956,f1957,f1375,f2138,f2180,f2149,f2202,f2203,f2166,f2167,f2205,f2170,f2171,f1382,f2214,f2226,f2233,f2244,f2245,f2248,f2249,f2179,f2554,f2560,f2564,f2566,f2259,f2695,f2700,f2704,f2706,f2597,f2990,f2977,f2987,f3007,f3006,f2978,f3024,f3013,f3001,f3193,f3223]) ).
fof(f3221,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3220]) ).
fof(f3220,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f3219,f30,f15,f20,f10,f25,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f37,f33,f31,f29,f27,f22,f18,f16,f14,f12,f8,f6,f4,f32,f7,f44,f319,f322,f320,f318,f335,f327,f343,f345,f210,f359,f17,f329,f388,f389,f384,f398,f395,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1409,f1407,f1398,f1499,f1501,f1502,f1379,f1341,f1335,f1505,f1319,f1223,f1219,f1509,f1214,f1252,f1113,f1111,f1104,f1520,f1092,f1524,f1529,f1530,f1123,f1046,f1045,f1044,f1035,f1034,f1033,f933,f927,f1540,f923,f922,f1005,f1546,f902,f807,f801,f1552,f1558,f732,f731,f1559,f721,f720,f682,f679,f1565,f1568,f1580,f1577,f1571,f1563,f1242,f1951,f1954,f1955,f1956,f1957,f1375,f2138,f2180,f2149,f2202,f2203,f2166,f2167,f2205,f2170,f2171,f1382,f2214,f2226,f2233,f2244,f2245,f2248,f2249,f2179,f2554,f2560,f2564,f2566,f2259,f2695,f2700,f2704,f2706,f2597,f2990,f2977,f2987,f3007,f3006,f2978,f3024,f3013,f3001,f3193]) ).
fof(f3219,plain,
( identity = sk_c8
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_10 ),
inference(duplicate_literal_removal,[],[f3218]) ).
fof(f3218,plain,
( identity = sk_c8
| identity = sk_c8
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3217,f1]) ).
fof(f3217,plain,
( sk_c8 = multiply(identity,identity)
| identity = sk_c8
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3216,f2597]) ).
fof(f3216,plain,
( sk_c8 = multiply(sk_c7,identity)
| identity = sk_c8
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3215,f1594]) ).
fof(f3215,plain,
( sk_c8 = multiply(sk_c1,identity)
| identity = sk_c8
| ~ spl0_1
| ~ spl0_2
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3214,f2597]) ).
fof(f3214,plain,
( identity = sk_c8
| sk_c8 = multiply(sk_c1,sk_c7)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3213,f1]) ).
fof(f3213,plain,
( sk_c8 = multiply(identity,identity)
| sk_c8 = multiply(sk_c1,sk_c7)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1567,f2597]) ).
fof(f3212,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3211]) ).
fof(f3211,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f3210,f30,f15,f20,f10,f25,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f37,f33,f31,f29,f27,f22,f18,f16,f14,f12,f8,f6,f4,f32,f7,f44,f319,f322,f320,f318,f335,f327,f343,f345,f210,f359,f17,f329,f388,f389,f384,f398,f395,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1409,f1407,f1398,f1499,f1501,f1502,f1379,f1341,f1335,f1505,f1319,f1223,f1219,f1509,f1214,f1252,f1113,f1111,f1104,f1520,f1092,f1524,f1529,f1530,f1123,f1046,f1045,f1044,f1035,f1034,f1033,f933,f927,f1540,f923,f922,f1005,f1546,f902,f807,f801,f1552,f1558,f732,f731,f1559,f721,f720,f682,f679,f1565,f1568,f1580,f1577,f1571,f1563,f1242,f1951,f1954,f1955,f1956,f1957,f1375,f2138,f2180,f2149,f2202,f2203,f2166,f2167,f2205,f2170,f2171,f1382,f2214,f2226,f2233,f2244,f2245,f2248,f2249,f2179,f2554,f2560,f2564,f2566,f2259,f2695,f2700,f2704,f2706,f2597,f2990,f2977,f2987,f3007,f3006,f2978,f3024,f3013,f3001,f3193]) ).
fof(f3204,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3203]) ).
fof(f3203,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f3170,f30,f15,f20,f10,f25,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f37,f33,f31,f29,f27,f22,f18,f16,f14,f12,f8,f6,f4,f32,f7,f44,f319,f322,f320,f318,f335,f327,f343,f345,f210,f359,f17,f329,f388,f389,f384,f398,f395,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1409,f1407,f1398,f1499,f1501,f1502,f1379,f1341,f1335,f1505,f1319,f1223,f1219,f1509,f1214,f1252,f1113,f1111,f1104,f1520,f1092,f1524,f1529,f1530,f1123,f1046,f1045,f1044,f1035,f1034,f1033,f933,f927,f1540,f923,f922,f1005,f1546,f902,f807,f801,f1552,f1558,f732,f731,f1559,f721,f720,f682,f679,f1565,f1568,f1580,f1577,f1571,f1563,f1242,f1951,f1954,f1955,f1956,f1957,f1375,f2138,f2180,f2149,f2202,f2203,f2166,f2167,f2205,f2170,f2171,f1382,f2214,f2226,f2233,f2244,f2245,f2248,f2249,f2179,f2554,f2560,f2564,f2566,f2259,f2695,f2700,f2704,f2706,f2597,f2990,f2977,f2987,f3007,f3006,f2978,f3024,f3013,f3001,f3193]) ).
fof(f3170,plain,
( ! [X3,X6,X7,X4] :
( identity != sk_c8
| identity != inverse(X3)
| identity != inverse(X6)
| identity != inverse(X7)
| identity != multiply(X6,identity)
| identity != multiply(X3,identity)
| identity != multiply(X7,identity)
| identity != multiply(inverse(X4),identity) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f3169,f1626]) ).
fof(f3169,plain,
( ! [X3,X6,X7,X4] :
( identity != sk_c6
| identity != sk_c8
| identity != inverse(X3)
| identity != inverse(X6)
| identity != inverse(X7)
| identity != multiply(X6,identity)
| identity != multiply(X3,identity)
| identity != multiply(X7,identity)
| identity != multiply(inverse(X4),identity) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f1557,f2597]) ).
fof(f3202,plain,
( ~ spl0_1
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3201]) ).
fof(f3201,plain,
( $false
| ~ spl0_1
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f30,f15,f20,f10,f25,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f37,f33,f31,f29,f27,f22,f18,f16,f14,f12,f8,f6,f4,f32,f7,f44,f319,f322,f320,f318,f335,f327,f343,f345,f210,f359,f17,f329,f388,f389,f384,f398,f395,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1409,f1407,f1398,f1499,f1501,f1502,f1379,f1341,f1335,f1505,f1319,f1223,f1219,f1509,f1214,f1252,f1113,f1111,f1104,f1520,f1092,f1524,f1529,f1530,f1123,f1046,f1045,f1044,f1035,f1034,f1033,f933,f927,f1540,f923,f922,f1005,f1546,f902,f807,f801,f1552,f1558,f732,f731,f1559,f721,f720,f682,f679,f1565,f1568,f1580,f1577,f1571,f1563,f1242,f1951,f1954,f1955,f1956,f1957,f1375,f2138,f2180,f2149,f2202,f2203,f2166,f2167,f2205,f2170,f2171,f1382,f2214,f2226,f2233,f2244,f2245,f2248,f2249,f2179,f2554,f2560,f2564,f2566,f2259,f2695,f2700,f2704,f2706,f2597,f2990,f2977,f2987,f3007,f3006,f2978,f3024,f3013,f3001,f3193]) ).
fof(f3200,plain,
( ~ spl0_1
| ~ spl0_10
| ~ spl0_11
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3199]) ).
fof(f3199,plain,
( $false
| ~ spl0_1
| ~ spl0_10
| ~ spl0_11
| spl0_12 ),
inference(global_subsumption,[],[f3196,f30,f15,f20,f10,f25,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f37,f33,f31,f29,f27,f22,f18,f16,f14,f12,f8,f6,f4,f32,f7,f44,f319,f322,f320,f318,f335,f327,f343,f345,f210,f359,f17,f329,f388,f389,f384,f398,f395,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1409,f1407,f1398,f1499,f1501,f1502,f1379,f1341,f1335,f1505,f1319,f1223,f1219,f1509,f1214,f1252,f1113,f1111,f1104,f1520,f1092,f1524,f1529,f1530,f1123,f1046,f1045,f1044,f1035,f1034,f1033,f933,f927,f1540,f923,f922,f1005,f1546,f902,f807,f801,f1552,f1558,f732,f731,f1559,f721,f720,f682,f679,f1565,f1568,f1580,f1577,f1571,f1563,f1242,f1951,f1954,f1955,f1956,f1957,f1375,f2138,f2180,f2149,f2202,f2203,f2166,f2167,f2205,f2170,f2171,f1382,f2214,f2226,f2233,f2244,f2245,f2248,f2249,f2179,f2554,f2560,f2564,f2566,f2259,f2695,f2700,f2704,f2706,f2597,f2990,f2977,f2987,f3007,f3006,f2978,f3024,f3013,f3001,f3193]) ).
fof(f3198,plain,
( ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3197]) ).
fof(f3197,plain,
( $false
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| spl0_12 ),
inference(global_subsumption,[],[f3196,f30,f15,f20,f10,f25,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f37,f33,f31,f29,f27,f22,f18,f16,f14,f12,f8,f6,f4,f32,f7,f210,f359,f17,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1407,f1398,f1499,f1501,f1502,f1379,f1341,f1335,f1505,f1509,f1214,f1252,f1111,f1104,f1092,f1524,f1529,f1530,f1123,f1046,f1045,f1035,f1034,f933,f922,f1005,f1546,f902,f807,f801,f1558,f732,f731,f1559,f721,f720,f682,f679,f2593,f2608,f2597,f3027,f3193]) ).
fof(f3027,plain,
( identity = sk_c8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2999,f1]) ).
fof(f2999,plain,
( sk_c8 = multiply(identity,identity)
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f2593,f2597]) ).
fof(f2608,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c7,multiply(sk_c7,X0))
| ~ spl0_9 ),
inference(superposition,[],[f3,f2593]) ).
fof(f3195,plain,
( ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f3194]) ).
fof(f3194,plain,
( $false
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f30,f15,f20,f10,f25,f35,f1,f2,f5,f3,f64,f213,f40,f38,f36,f34,f28,f26,f24,f23,f21,f19,f13,f11,f9,f37,f33,f31,f29,f27,f22,f18,f16,f14,f12,f8,f6,f4,f32,f7,f210,f359,f17,f211,f635,f628,f680,f690,f221,f704,f705,f708,f709,f700,f748,f729,f754,f718,f790,f791,f698,f836,f817,f701,f863,f873,f806,f908,f937,f1041,f1067,f1070,f1065,f1078,f1090,f1161,f1108,f1204,f1118,f1119,f1121,f1122,f1157,f1213,f1225,f1247,f1248,f1249,f1250,f1240,f1333,f1336,f1337,f1338,f1339,f1069,f1451,f1393,f1402,f1414,f1415,f1416,f1417,f1419,f1420,f1407,f1398,f1499,f1501,f1502,f1379,f1341,f1335,f1505,f1509,f1214,f1252,f1111,f1104,f1092,f1524,f1529,f1530,f1123,f1046,f1045,f1035,f1034,f933,f922,f1005,f1546,f902,f807,f801,f1558,f732,f731,f1559,f721,f720,f682,f679,f2593,f2608,f2597,f3027,f3193]) ).
fof(f3177,plain,
( spl0_6
| spl0_5
| spl0_5
| spl0_5
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f3171,f2880,f2595,f1624,f46,f42,f1491,f1491,f1491,f1494]) ).
fof(f3171,plain,
( ! [X3,X6,X7,X4] :
( identity != inverse(X3)
| identity != inverse(X6)
| identity != inverse(X7)
| identity != multiply(X6,identity)
| identity != multiply(X3,identity)
| identity != multiply(X7,identity)
| identity != multiply(inverse(X4),identity) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_10
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f3170,f2976]) ).
fof(f2975,plain,
( ~ spl0_9
| spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f2974]) ).
fof(f2974,plain,
( $false
| ~ spl0_9
| spl0_10
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f2973,f2907]) ).
fof(f2907,plain,
( identity != sk_c8
| spl0_10
| ~ spl0_12 ),
inference(superposition,[],[f2596,f2882]) ).
fof(f2973,plain,
( identity = sk_c8
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2954,f2]) ).
fof(f2954,plain,
( sk_c8 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_9
| ~ spl0_12 ),
inference(superposition,[],[f64,f2906]) ).
fof(f2906,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_9
| ~ spl0_12 ),
inference(superposition,[],[f2593,f2882]) ).
fof(f2970,plain,
( ~ spl0_9
| spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f2969]) ).
fof(f2969,plain,
( $false
| ~ spl0_9
| spl0_10
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f2968,f2907]) ).
fof(f2968,plain,
( identity = sk_c8
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2951,f698]) ).
fof(f2951,plain,
( sk_c8 = multiply(sk_c8,inverse(sk_c8))
| ~ spl0_9
| ~ spl0_12 ),
inference(superposition,[],[f1157,f2906]) ).
fof(f2967,plain,
( ~ spl0_1
| ~ spl0_9
| spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f2966]) ).
fof(f2966,plain,
( $false
| ~ spl0_1
| ~ spl0_9
| spl0_10
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f2965,f2907]) ).
fof(f2965,plain,
( identity = sk_c8
| ~ spl0_1
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2950,f319]) ).
fof(f2950,plain,
( sk_c8 = multiply(sk_c7,sk_c8)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_12 ),
inference(superposition,[],[f318,f2906]) ).
fof(f2964,plain,
( ~ spl0_1
| ~ spl0_9
| spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f2963]) ).
fof(f2963,plain,
( $false
| ~ spl0_1
| ~ spl0_9
| spl0_10
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f2962,f2596]) ).
fof(f2962,plain,
( identity = sk_c7
| ~ spl0_1
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2949,f698]) ).
fof(f2949,plain,
( sk_c7 = multiply(sk_c8,inverse(sk_c8))
| ~ spl0_1
| ~ spl0_9
| ~ spl0_12 ),
inference(superposition,[],[f1382,f2906]) ).
fof(f2961,plain,
( ~ spl0_1
| ~ spl0_9
| spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f2960]) ).
fof(f2960,plain,
( $false
| ~ spl0_1
| ~ spl0_9
| spl0_10
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f2959,f2907]) ).
fof(f2959,plain,
( identity = sk_c8
| ~ spl0_1
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2948,f384]) ).
fof(f2948,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_12 ),
inference(superposition,[],[f1242,f2906]) ).
fof(f2958,plain,
( ~ spl0_1
| ~ spl0_9
| spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f2957]) ).
fof(f2957,plain,
( $false
| ~ spl0_1
| ~ spl0_9
| spl0_10
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f2956,f2596]) ).
fof(f2956,plain,
( identity = sk_c7
| ~ spl0_1
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2947,f2]) ).
fof(f2947,plain,
( sk_c7 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_12 ),
inference(superposition,[],[f2259,f2906]) ).
fof(f2883,plain,
( spl0_11
| spl0_12
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f2874,f1624,f363,f46,f42,f2880,f2876]) ).
fof(f2598,plain,
( spl0_9
| spl0_10
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f2589,f1620,f46,f42,f2595,f2591]) ).
fof(f1876,plain,
( ~ spl0_1
| ~ spl0_7
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f1875]) ).
fof(f1875,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| spl0_8 ),
inference(subsumption_resolution,[],[f1874,f1625]) ).
fof(f1625,plain,
( identity != sk_c6
| spl0_8 ),
inference(avatar_component_clause,[],[f1624]) ).
fof(f1874,plain,
( identity = sk_c6
| ~ spl0_1
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f1865,f2]) ).
fof(f1865,plain,
( sk_c6 = multiply(inverse(identity),identity)
| ~ spl0_1
| ~ spl0_7
| spl0_8 ),
inference(superposition,[],[f64,f1859]) ).
fof(f1859,plain,
( identity = multiply(identity,sk_c6)
| ~ spl0_1
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f1858,f1763]) ).
fof(f1763,plain,
( identity = sk_c8
| ~ spl0_1
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f1749,f2]) ).
fof(f1749,plain,
( sk_c8 = multiply(inverse(identity),identity)
| ~ spl0_1
| ~ spl0_7
| spl0_8 ),
inference(superposition,[],[f320,f1746]) ).
fof(f1746,plain,
( identity = sk_c7
| ~ spl0_1
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f1745,f1633]) ).
fof(f1745,plain,
( sk_c7 = multiply(sk_c2,sk_c3)
| ~ spl0_1
| spl0_8 ),
inference(subsumption_resolution,[],[f1565,f1625]) ).
fof(f1858,plain,
( sk_c8 = multiply(identity,sk_c6)
| ~ spl0_1
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f1857,f1746]) ).
fof(f1857,plain,
( sk_c8 = multiply(sk_c7,sk_c6)
| ~ spl0_1
| spl0_8 ),
inference(subsumption_resolution,[],[f1571,f1625]) ).
fof(f1870,plain,
( ~ spl0_1
| ~ spl0_7
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f1869]) ).
fof(f1869,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| spl0_8 ),
inference(subsumption_resolution,[],[f1861,f1625]) ).
fof(f1861,plain,
( identity = sk_c6
| ~ spl0_1
| ~ spl0_7
| spl0_8 ),
inference(superposition,[],[f1,f1859]) ).
fof(f1868,plain,
( ~ spl0_1
| ~ spl0_7
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f1867]) ).
fof(f1867,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| spl0_8 ),
inference(subsumption_resolution,[],[f1860,f1625]) ).
fof(f1860,plain,
( identity = sk_c6
| ~ spl0_1
| ~ spl0_7
| spl0_8 ),
inference(superposition,[],[f1859,f1]) ).
fof(f1627,plain,
( spl0_7
| spl0_8
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f1577,f42,f1624,f1620]) ).
fof(f1496,plain,
( spl0_5
| spl0_5
| spl0_5
| spl0_6
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f897,f367,f363,f46,f42,f1494,f1491,f1491,f1491]) ).
fof(f370,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f17,f367,f363]) ).
fof(f299,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_contradiction_clause,[],[f298]) ).
fof(f298,plain,
( $false
| spl0_1
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f297,f116]) ).
fof(f116,plain,
( sk_c8 = sk_c7
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f112,f54]) ).
fof(f54,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| spl0_1 ),
inference(subsumption_resolution,[],[f6,f43]) ).
fof(f43,plain,
( inverse(sk_c8) != sk_c7
| spl0_1 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f112,plain,
( sk_c7 = multiply(sk_c4,sk_c7)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f95,f111]) ).
fof(f111,plain,
( sk_c7 = sk_c6
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f110,f95]) ).
fof(f110,plain,
( sk_c6 = multiply(sk_c4,sk_c6)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f91,f98]) ).
fof(f98,plain,
( sk_c6 = multiply(sk_c8,sk_c7)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f67,f95]) ).
fof(f91,plain,
( multiply(sk_c4,sk_c6) = multiply(sk_c8,sk_c7)
| spl0_1 ),
inference(superposition,[],[f60,f73]) ).
fof(f73,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| spl0_1 ),
inference(superposition,[],[f68,f55]) ).
fof(f55,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| spl0_1 ),
inference(subsumption_resolution,[],[f8,f43]) ).
fof(f68,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c5,X0)) = X0
| spl0_1 ),
inference(forward_demodulation,[],[f63,f1]) ).
fof(f63,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c5,X0))
| spl0_1 ),
inference(superposition,[],[f3,f52]) ).
fof(f52,plain,
( identity = multiply(sk_c7,sk_c5)
| spl0_1 ),
inference(superposition,[],[f2,f51]) ).
fof(f51,plain,
( sk_c7 = inverse(sk_c5)
| spl0_1 ),
inference(subsumption_resolution,[],[f7,f43]) ).
fof(f60,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c4,multiply(sk_c7,X0))
| spl0_1 ),
inference(superposition,[],[f3,f54]) ).
fof(f95,plain,
( sk_c7 = multiply(sk_c4,sk_c6)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f90,f69]) ).
fof(f69,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f67,f54]) ).
fof(f90,plain,
( multiply(sk_c8,sk_c8) = multiply(sk_c4,sk_c6)
| spl0_1 ),
inference(superposition,[],[f60,f53]) ).
fof(f53,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| spl0_1 ),
inference(subsumption_resolution,[],[f4,f43]) ).
fof(f297,plain,
( sk_c8 != sk_c7
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f282,f170]) ).
fof(f170,plain,
( sk_c8 = inverse(identity)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f48,f157]) ).
fof(f157,plain,
( identity = sk_c4
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f152,f50]) ).
fof(f152,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f151,f1]) ).
fof(f151,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(identity,X0))
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f3,f141]) ).
fof(f141,plain,
( identity = multiply(sk_c8,identity)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f102,f118]) ).
fof(f118,plain,
( identity = multiply(sk_c8,sk_c5)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f52,f116]) ).
fof(f102,plain,
( identity = multiply(sk_c8,multiply(sk_c8,sk_c5))
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f67,f92]) ).
fof(f92,plain,
( multiply(sk_c8,sk_c5) = multiply(sk_c4,identity)
| spl0_1 ),
inference(superposition,[],[f60,f52]) ).
fof(f282,plain,
( sk_c7 != inverse(identity)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f43,f256]) ).
fof(f256,plain,
( identity = sk_c8
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f255,f2]) ).
fof(f255,plain,
( sk_c8 = multiply(inverse(sk_c7),sk_c7)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f224,f111]) ).
fof(f224,plain,
( sk_c8 = multiply(inverse(sk_c7),sk_c6)
| spl0_1 ),
inference(superposition,[],[f64,f53]) ).
fof(f49,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f5,f46,f42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP383-1 : TPTP v8.1.2. Released v2.5.0.
% 0.06/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n023.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri May 3 20:46:38 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % (18109)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (18112)WARNING: value z3 for option sas not known
% 0.13/0.37 % (18113)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (18110)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37 % (18114)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)
% 0.13/0.37 % (18115)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)
% 0.13/0.37 % (18111)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37 % (18112)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)
% 0.13/0.37 % (18116)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)
% 0.13/0.38 TRYING [1]
% 0.13/0.38 TRYING [2]
% 0.13/0.38 TRYING [1]
% 0.13/0.38 TRYING [3]
% 0.13/0.38 TRYING [2]
% 0.13/0.39 TRYING [3]
% 0.13/0.39 TRYING [4]
% 0.20/0.41 TRYING [5]
% 0.20/0.41 TRYING [4]
% 0.20/0.45 TRYING [6]
% 0.20/0.51 % (18112)First to succeed.
% 1.20/0.52 TRYING [7]
% 1.20/0.53 % (18112)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-18109"
% 1.20/0.53 % (18112)Refutation found. Thanks to Tanya!
% 1.20/0.53 % SZS status Unsatisfiable for theBenchmark
% 1.20/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 1.31/0.54 % (18112)------------------------------
% 1.31/0.54 % (18112)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.31/0.54 % (18112)Termination reason: Refutation
% 1.31/0.54
% 1.31/0.54 % (18112)Memory used [KB]: 2663
% 1.31/0.54 % (18112)Time elapsed: 0.157 s
% 1.31/0.54 % (18112)Instructions burned: 330 (million)
% 1.31/0.54 % (18109)Success in time 0.181 s
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