TSTP Solution File: GRP219-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP219-1 : 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 : n017.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 : Tue Apr 30 11:52:58 EDT 2024
% Result : Unsatisfiable 0.20s 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 52
% Syntax : Number of formulae : 1693 ( 105 unt; 0 def)
% Number of atoms : 5362 (2149 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 6576 (2907 ~;3653 |; 0 &)
% ( 16 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 18 ( 16 usr; 17 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 1220 (1220 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6541,plain,
$false,
inference(avatar_sat_refutation,[],[f47,f146,f160,f1362,f1438,f1647,f4002,f4112,f4264,f4329,f4331,f4340,f4435,f4460,f4462,f4464,f4466,f4468,f4470,f4472,f4474,f4476,f4478,f4480,f4482,f4484,f4486,f4488,f4491,f4493,f4496,f4498,f4500,f4503,f4505,f4507,f4509,f4511,f4514,f4516,f4518,f4520,f4522,f4525,f4528,f4531,f4533,f4558,f4764,f4769,f4771,f4773,f4775,f4777,f4779,f4781,f4783,f4786,f4789,f4792,f4796,f4801,f4803,f4805,f4808,f4810,f4813,f5305,f5310,f5312,f5686,f5698,f5789,f5791,f5794,f5798,f5821,f5833,f5835,f5837,f5839,f5841,f5843,f5845,f5847,f5849,f5852,f5856,f5859,f5861,f5864,f5866,f5869,f5871,f5873,f5972,f6077,f6082,f6133,f6277,f6279,f6281,f6285,f6288,f6291,f6294,f6297,f6299,f6320,f6359,f6361,f6364,f6376,f6412,f6418,f6421,f6423,f6426,f6431,f6437,f6441,f6445,f6448,f6455,f6461,f6472,f6474,f6476,f6478,f6505,f6508,f6510,f6514,f6518,f6522,f6526,f6530,f6533,f6535,f6537,f6540]) ).
fof(f6540,plain,
( spl0_2
| spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f6539]) ).
fof(f6539,plain,
( $false
| spl0_2
| spl0_11
| ~ spl0_12 ),
inference(global_subsumption,[],[f1,f2,f4,f3,f38,f6,f7,f19,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1426,f16,f32,f12,f20,f28,f29,f18,f4011,f5,f33,f17,f13,f21,f1641,f5822,f26,f30,f14,f22,f10,f31,f27,f23,f11,f35,f34,f25,f9,f24,f8,f45,f6085,f1427,f1646,f6399,f6400,f6404,f6084,f6406,f6470,f6482,f6446,f6486,f6443,f6487,f6439,f6488,f6490,f6424,f15,f6493,f6419,f6495,f6402,f6496,f6397,f6497,f6502,f6506,f6432,f6512,f6516,f6520,f6524,f6528,f6531,f5823,f1667,f6538]) ).
fof(f6538,plain,
( identity != inverse(sk_c4)
| spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f1641,f1646]) ).
fof(f1667,plain,
( identity != inverse(sk_c4)
| spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f1641,f1646]) ).
fof(f5823,plain,
( sk_c8 = inverse(sk_c7)
| spl0_11 ),
inference(global_subsumption,[],[f1,f2,f4,f3,f38,f31,f27,f23,f15,f11,f6,f7,f19,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1426,f16,f32,f8,f12,f20,f24,f28,f30,f29,f26,f25,f22,f14,f10,f18,f5,f33,f17,f13,f9,f21,f1427,f1641,f34,f5822,f35]) ).
fof(f6531,plain,
( identity = inverse(sk_c4)
| sk_c8 = inverse(sk_c7)
| ~ spl0_12 ),
inference(forward_demodulation,[],[f35,f1646]) ).
fof(f6528,plain,
( identity = multiply(sk_c7,sk_c8)
| identity = inverse(sk_c4)
| ~ spl0_12 ),
inference(forward_demodulation,[],[f6527,f1646]) ).
fof(f6527,plain,
( identity = inverse(sk_c4)
| sk_c9 = multiply(sk_c7,sk_c8)
| ~ spl0_12 ),
inference(forward_demodulation,[],[f34,f1646]) ).
fof(f6524,plain,
( identity = multiply(sk_c6,sk_c8)
| sk_c5 = multiply(sk_c4,identity)
| ~ spl0_12 ),
inference(forward_demodulation,[],[f6523,f1646]) ).
fof(f6523,plain,
( sk_c5 = multiply(sk_c4,identity)
| sk_c9 = multiply(sk_c6,sk_c8)
| ~ spl0_12 ),
inference(forward_demodulation,[],[f29,f1646]) ).
fof(f6520,plain,
( identity = multiply(sk_c6,sk_c8)
| identity = inverse(sk_c4)
| ~ spl0_12 ),
inference(forward_demodulation,[],[f6519,f1646]) ).
fof(f6519,plain,
( identity = inverse(sk_c4)
| sk_c9 = multiply(sk_c6,sk_c8)
| ~ spl0_12 ),
inference(forward_demodulation,[],[f33,f1646]) ).
fof(f6516,plain,
( sk_c5 = multiply(sk_c4,identity)
| spl0_2
| ~ spl0_12 ),
inference(forward_demodulation,[],[f6515,f1646]) ).
fof(f6515,plain,
( sk_c5 = multiply(sk_c4,sk_c9)
| spl0_2 ),
inference(subsumption_resolution,[],[f28,f45]) ).
fof(f6512,plain,
( identity = inverse(sk_c4)
| spl0_2
| ~ spl0_12 ),
inference(forward_demodulation,[],[f6511,f1646]) ).
fof(f6511,plain,
( sk_c9 = inverse(sk_c4)
| spl0_2 ),
inference(subsumption_resolution,[],[f32,f45]) ).
fof(f6432,plain,
( sk_c5 = multiply(sk_c4,identity)
| sk_c8 = inverse(sk_c7)
| ~ spl0_12 ),
inference(forward_demodulation,[],[f31,f1646]) ).
fof(f6506,plain,
( identity = multiply(sk_c7,sk_c8)
| sk_c5 = multiply(sk_c4,identity)
| ~ spl0_12 ),
inference(forward_demodulation,[],[f6449,f1646]) ).
fof(f6449,plain,
( sk_c5 = multiply(sk_c4,identity)
| sk_c9 = multiply(sk_c7,sk_c8)
| ~ spl0_12 ),
inference(forward_demodulation,[],[f30,f1646]) ).
fof(f6502,plain,
( identity = multiply(sk_c6,sk_c8)
| sk_c8 = sk_c5
| ~ spl0_12 ),
inference(forward_demodulation,[],[f6501,f1646]) ).
fof(f6501,plain,
( sk_c8 = sk_c5
| sk_c9 = multiply(sk_c6,sk_c8)
| ~ spl0_12 ),
inference(forward_demodulation,[],[f6500,f1]) ).
fof(f6500,plain,
( sk_c8 = multiply(identity,sk_c5)
| sk_c9 = multiply(sk_c6,sk_c8)
| ~ spl0_12 ),
inference(forward_demodulation,[],[f25,f1646]) ).
fof(f6497,plain,
( identity = multiply(sk_c1,sk_c8)
| spl0_2
| ~ spl0_12 ),
inference(global_subsumption,[],[f1,f2,f4,f3,f38,f6,f7,f19,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1426,f16,f32,f12,f20,f28,f29,f18,f4011,f5,f33,f17,f13,f21,f26,f30,f14,f22,f10,f31,f27,f23,f11,f35,f34,f25,f9,f24,f8,f45,f6085,f1427,f1646,f6399,f6400,f6404,f6084,f6406,f6470,f6482,f6446,f6486,f6443,f6487,f6439,f6488,f6490,f6424,f15,f6493,f6419,f6495,f6402,f6496,f6397]) ).
fof(f6397,plain,
( identity = multiply(sk_c6,sk_c8)
| identity = multiply(sk_c1,sk_c8)
| ~ spl0_12 ),
inference(forward_demodulation,[],[f6396,f1646]) ).
fof(f6396,plain,
( identity = multiply(sk_c1,sk_c8)
| sk_c9 = multiply(sk_c6,sk_c8)
| ~ spl0_12 ),
inference(forward_demodulation,[],[f9,f1646]) ).
fof(f6496,plain,
( sk_c8 = multiply(sk_c3,identity)
| spl0_2
| ~ spl0_12 ),
inference(global_subsumption,[],[f1,f2,f4,f3,f38,f6,f7,f19,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1426,f16,f32,f12,f20,f28,f29,f18,f4011,f5,f33,f17,f13,f21,f26,f30,f14,f22,f10,f31,f27,f23,f11,f35,f34,f25,f9,f24,f8,f45,f6085,f1427,f1646,f6397,f6399,f6400,f6404,f6084,f6406,f6470,f6482,f6446,f6486,f6443,f6487,f6439,f6488,f6490,f6424,f15,f6493,f6419,f6495,f6402]) ).
fof(f6402,plain,
( identity = multiply(sk_c6,sk_c8)
| sk_c8 = multiply(sk_c3,identity)
| ~ spl0_12 ),
inference(forward_demodulation,[],[f6401,f1646]) ).
fof(f6401,plain,
( sk_c8 = multiply(sk_c3,identity)
| sk_c9 = multiply(sk_c6,sk_c8)
| ~ spl0_12 ),
inference(forward_demodulation,[],[f21,f1646]) ).
fof(f6495,plain,
( sk_c8 = multiply(identity,sk_c5)
| spl0_2
| ~ spl0_12 ),
inference(forward_demodulation,[],[f6407,f1646]) ).
fof(f6407,plain,
( sk_c8 = multiply(sk_c9,sk_c5)
| spl0_2 ),
inference(subsumption_resolution,[],[f24,f45]) ).
fof(f6419,plain,
( identity = multiply(sk_c1,sk_c8)
| sk_c8 = inverse(sk_c7)
| ~ spl0_12 ),
inference(forward_demodulation,[],[f11,f1646]) ).
fof(f6493,plain,
( sk_c8 = multiply(sk_c2,sk_c3)
| spl0_2 ),
inference(global_subsumption,[],[f1,f2,f4,f3,f38,f6,f7,f19,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1426,f16,f32,f12,f20,f28,f29,f18,f5,f33,f17,f13,f21,f26,f30,f14,f22,f10,f31,f27,f23,f11,f35,f34,f25,f9,f24,f8,f45,f6085,f1427,f6084,f15]) ).
fof(f15,axiom,
( sk_c8 = inverse(sk_c7)
| sk_c8 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f6424,plain,
( sk_c8 = multiply(sk_c3,identity)
| sk_c8 = inverse(sk_c7)
| ~ spl0_12 ),
inference(forward_demodulation,[],[f23,f1646]) ).
fof(f6490,plain,
( sk_c8 = multiply(identity,sk_c5)
| sk_c8 = inverse(sk_c7)
| ~ spl0_12 ),
inference(forward_demodulation,[],[f27,f1646]) ).
fof(f6488,plain,
( identity = multiply(sk_c1,sk_c8)
| spl0_2
| ~ spl0_12 ),
inference(global_subsumption,[],[f1,f2,f4,f3,f38,f6,f7,f19,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1426,f16,f32,f12,f20,f28,f29,f18,f4011,f5,f33,f17,f13,f21,f26,f30,f14,f22,f10,f31,f27,f23,f11,f35,f34,f25,f9,f24,f8,f45,f6085,f1427,f1646,f6397,f6399,f6400,f6402,f6404,f6084,f6406,f6419,f15,f6424,f6470,f6482,f6446,f6486,f6443,f6487,f6439]) ).
fof(f6439,plain,
( identity = multiply(sk_c7,sk_c8)
| identity = multiply(sk_c1,sk_c8)
| ~ spl0_12 ),
inference(forward_demodulation,[],[f6438,f1646]) ).
fof(f6438,plain,
( identity = multiply(sk_c1,sk_c8)
| sk_c9 = multiply(sk_c7,sk_c8)
| ~ spl0_12 ),
inference(forward_demodulation,[],[f10,f1646]) ).
fof(f6487,plain,
( sk_c8 = multiply(sk_c3,identity)
| spl0_2
| ~ spl0_12 ),
inference(global_subsumption,[],[f1,f2,f4,f3,f38,f6,f7,f19,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1426,f16,f32,f12,f20,f28,f29,f18,f4011,f5,f33,f17,f13,f21,f26,f30,f14,f22,f10,f31,f27,f23,f11,f35,f34,f25,f9,f24,f8,f45,f6085,f1427,f1646,f6397,f6399,f6400,f6402,f6404,f6084,f6406,f6419,f15,f6424,f6439,f6470,f6482,f6446,f6486,f6443]) ).
fof(f6443,plain,
( identity = multiply(sk_c7,sk_c8)
| sk_c8 = multiply(sk_c3,identity)
| ~ spl0_12 ),
inference(forward_demodulation,[],[f6442,f1646]) ).
fof(f6442,plain,
( sk_c8 = multiply(sk_c3,identity)
| sk_c9 = multiply(sk_c7,sk_c8)
| ~ spl0_12 ),
inference(forward_demodulation,[],[f22,f1646]) ).
fof(f6486,plain,
( sk_c8 = multiply(sk_c2,sk_c3)
| spl0_2
| ~ spl0_12 ),
inference(global_subsumption,[],[f6446,f1,f2,f4,f3,f38,f6,f7,f19,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1426,f16,f32,f12,f20,f28,f29,f18,f5,f33,f17,f13,f21,f26,f30,f14,f22,f10,f31,f27,f23,f11,f35,f34,f25,f9,f24,f8,f45,f6085,f1427,f6084,f15]) ).
fof(f6446,plain,
( identity = multiply(sk_c7,sk_c8)
| sk_c8 = multiply(sk_c2,sk_c3)
| ~ spl0_12 ),
inference(forward_demodulation,[],[f14,f1646]) ).
fof(f6482,plain,
( identity = multiply(sk_c7,sk_c8)
| sk_c8 = sk_c5
| ~ spl0_12 ),
inference(forward_demodulation,[],[f6481,f1646]) ).
fof(f6481,plain,
( sk_c8 = sk_c5
| sk_c9 = multiply(sk_c7,sk_c8)
| ~ spl0_12 ),
inference(forward_demodulation,[],[f6480,f1]) ).
fof(f6480,plain,
( sk_c8 = multiply(identity,sk_c5)
| sk_c9 = multiply(sk_c7,sk_c8)
| ~ spl0_12 ),
inference(forward_demodulation,[],[f26,f1646]) ).
fof(f6470,plain,
( ! [X3,X8,X9,X7,X4] :
( identity != multiply(X8,identity)
| identity != multiply(X9,identity)
| identity != multiply(X3,identity)
| identity != multiply(identity,X7)
| identity != multiply(inverse(X4),identity)
| identity != inverse(X3)
| identity != inverse(X8)
| identity != inverse(X7)
| identity != sk_c8
| identity != inverse(X9) )
| ~ spl0_12 ),
inference(forward_demodulation,[],[f6469,f1646]) ).
fof(f6469,plain,
( ! [X3,X8,X9,X7,X4] :
( identity != multiply(X9,identity)
| identity != multiply(X3,identity)
| identity != multiply(identity,X7)
| identity != multiply(inverse(X4),identity)
| identity != inverse(X3)
| identity != inverse(X8)
| identity != inverse(X7)
| identity != sk_c8
| identity != inverse(X9)
| sk_c9 != multiply(X8,identity) )
| ~ spl0_12 ),
inference(forward_demodulation,[],[f6468,f1646]) ).
fof(f6468,plain,
( ! [X3,X8,X9,X7,X4] :
( identity != multiply(X3,identity)
| identity != multiply(identity,X7)
| identity != multiply(inverse(X4),identity)
| identity != inverse(X3)
| identity != inverse(X8)
| identity != inverse(X7)
| identity != sk_c8
| identity != inverse(X9)
| sk_c9 != multiply(X9,identity)
| sk_c9 != multiply(X8,identity) )
| ~ spl0_12 ),
inference(forward_demodulation,[],[f6467,f1646]) ).
fof(f6467,plain,
( ! [X3,X8,X9,X7,X4] :
( identity != multiply(identity,X7)
| identity != multiply(inverse(X4),identity)
| identity != inverse(X3)
| identity != inverse(X8)
| identity != inverse(X7)
| identity != sk_c8
| identity != inverse(X9)
| sk_c9 != multiply(X3,identity)
| sk_c9 != multiply(X9,identity)
| sk_c9 != multiply(X8,identity) )
| ~ spl0_12 ),
inference(forward_demodulation,[],[f6466,f443]) ).
fof(f6466,plain,
( ! [X3,X8,X9,X7,X4] :
( identity != multiply(identity,multiply(X7,identity))
| identity != multiply(inverse(X4),identity)
| identity != inverse(X3)
| identity != inverse(X8)
| identity != inverse(X7)
| identity != sk_c8
| identity != inverse(X9)
| sk_c9 != multiply(X3,identity)
| sk_c9 != multiply(X9,identity)
| sk_c9 != multiply(X8,identity) )
| ~ spl0_12 ),
inference(forward_demodulation,[],[f6465,f1646]) ).
fof(f6465,plain,
( ! [X3,X8,X9,X7,X4] :
( identity != multiply(inverse(X4),identity)
| identity != inverse(X3)
| identity != inverse(X8)
| identity != inverse(X7)
| identity != sk_c8
| identity != inverse(X9)
| identity != multiply(sk_c9,multiply(X7,sk_c9))
| sk_c9 != multiply(X3,identity)
| sk_c9 != multiply(X9,identity)
| sk_c9 != multiply(X8,identity) )
| ~ spl0_12 ),
inference(forward_demodulation,[],[f6464,f1646]) ).
fof(f6464,plain,
( ! [X3,X8,X9,X7,X4] :
( identity != inverse(X3)
| identity != inverse(X8)
| identity != inverse(X7)
| identity != sk_c8
| identity != inverse(X9)
| identity != multiply(inverse(X4),sk_c9)
| identity != multiply(sk_c9,multiply(X7,sk_c9))
| sk_c9 != multiply(X3,identity)
| sk_c9 != multiply(X9,identity)
| sk_c9 != multiply(X8,identity) )
| ~ spl0_12 ),
inference(forward_demodulation,[],[f6463,f1646]) ).
fof(f6463,plain,
( ! [X3,X8,X9,X7,X4] :
( identity != inverse(X8)
| identity != inverse(X7)
| identity != sk_c8
| identity != inverse(X9)
| sk_c9 != inverse(X3)
| identity != multiply(inverse(X4),sk_c9)
| identity != multiply(sk_c9,multiply(X7,sk_c9))
| sk_c9 != multiply(X3,identity)
| sk_c9 != multiply(X9,identity)
| sk_c9 != multiply(X8,identity) )
| ~ spl0_12 ),
inference(forward_demodulation,[],[f6462,f1646]) ).
fof(f6462,plain,
( ! [X3,X8,X9,X7,X4] :
( identity != inverse(X7)
| identity != sk_c8
| identity != inverse(X9)
| sk_c9 != inverse(X8)
| sk_c9 != inverse(X3)
| identity != multiply(inverse(X4),sk_c9)
| identity != multiply(sk_c9,multiply(X7,sk_c9))
| sk_c9 != multiply(X3,identity)
| sk_c9 != multiply(X9,identity)
| sk_c9 != multiply(X8,identity) )
| ~ spl0_12 ),
inference(forward_demodulation,[],[f1427,f1646]) ).
fof(f6406,plain,
( identity = multiply(sk_c1,sk_c8)
| spl0_2
| ~ spl0_12 ),
inference(forward_demodulation,[],[f6405,f1646]) ).
fof(f6405,plain,
( sk_c9 = multiply(sk_c1,sk_c8)
| spl0_2 ),
inference(subsumption_resolution,[],[f8,f45]) ).
fof(f6084,plain,
( sk_c8 = multiply(sk_c2,sk_c3)
| spl0_2 ),
inference(subsumption_resolution,[],[f12,f45]) ).
fof(f6404,plain,
( sk_c8 = multiply(sk_c3,identity)
| spl0_2
| ~ spl0_12 ),
inference(forward_demodulation,[],[f6085,f1646]) ).
fof(f6400,plain,
( sk_c8 = multiply(sk_c2,sk_c3)
| spl0_2
| ~ spl0_12 ),
inference(global_subsumption,[],[f6399,f1,f2,f4,f3,f38,f6,f7,f19,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1426,f16,f32,f12,f20,f28,f29,f18,f5,f33,f17,f13,f21,f26,f30,f14,f22,f10,f31,f27,f23,f15,f11,f35,f34,f25,f9,f24,f8,f45,f6084,f6085,f1427]) ).
fof(f6399,plain,
( identity = multiply(sk_c6,sk_c8)
| sk_c8 = multiply(sk_c2,sk_c3)
| ~ spl0_12 ),
inference(forward_demodulation,[],[f13,f1646]) ).
fof(f1646,plain,
( identity = sk_c9
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f1644]) ).
fof(f1644,plain,
( spl0_12
<=> identity = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f1427,plain,
! [X3,X8,X9,X7,X4] :
( identity != sk_c8
| identity != inverse(X9)
| sk_c9 != inverse(X7)
| sk_c9 != inverse(X8)
| sk_c9 != inverse(X3)
| identity != multiply(inverse(X4),sk_c9)
| identity != multiply(sk_c9,multiply(X7,sk_c9))
| sk_c9 != multiply(X3,identity)
| sk_c9 != multiply(X9,identity)
| sk_c9 != multiply(X8,identity) ),
inference(inner_rewriting,[],[f1426]) ).
fof(f6085,plain,
( sk_c8 = multiply(sk_c3,sk_c9)
| spl0_2 ),
inference(subsumption_resolution,[],[f20,f45]) ).
fof(f45,plain,
( sk_c9 != inverse(sk_c6)
| spl0_2 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f44,plain,
( spl0_2
<=> sk_c9 = inverse(sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f8,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c9 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f24,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c8 = multiply(sk_c9,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f9,axiom,
( sk_c9 = multiply(sk_c1,sk_c8)
| sk_c9 = multiply(sk_c6,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f25,axiom,
( sk_c8 = multiply(sk_c9,sk_c5)
| sk_c9 = multiply(sk_c6,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f34,axiom,
( sk_c9 = inverse(sk_c4)
| sk_c9 = multiply(sk_c7,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f35,axiom,
( sk_c8 = inverse(sk_c7)
| sk_c9 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
fof(f11,axiom,
( sk_c8 = inverse(sk_c7)
| sk_c9 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f23,axiom,
( sk_c8 = inverse(sk_c7)
| sk_c8 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f27,axiom,
( sk_c8 = inverse(sk_c7)
| sk_c8 = multiply(sk_c9,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f31,axiom,
( sk_c8 = inverse(sk_c7)
| sk_c5 = multiply(sk_c4,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f10,axiom,
( sk_c9 = multiply(sk_c1,sk_c8)
| sk_c9 = multiply(sk_c7,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f22,axiom,
( sk_c8 = multiply(sk_c3,sk_c9)
| sk_c9 = multiply(sk_c7,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f14,axiom,
( sk_c8 = multiply(sk_c2,sk_c3)
| sk_c9 = multiply(sk_c7,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f30,axiom,
( sk_c5 = multiply(sk_c4,sk_c9)
| sk_c9 = multiply(sk_c7,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f26,axiom,
( sk_c8 = multiply(sk_c9,sk_c5)
| sk_c9 = multiply(sk_c7,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f5822,plain,
( sk_c9 = multiply(sk_c7,sk_c8)
| spl0_11 ),
inference(global_subsumption,[],[f1,f2,f4,f3,f38,f31,f27,f23,f15,f11,f6,f35,f7,f19,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1426,f16,f32,f8,f12,f20,f24,f28,f30,f29,f26,f25,f22,f14,f10,f18,f5,f33,f17,f13,f9,f21,f1427,f1641,f34]) ).
fof(f1641,plain,
( sk_c9 != inverse(sk_c4)
| spl0_11 ),
inference(avatar_component_clause,[],[f1640]) ).
fof(f1640,plain,
( spl0_11
<=> sk_c9 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f21,axiom,
( sk_c8 = multiply(sk_c3,sk_c9)
| sk_c9 = multiply(sk_c6,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f13,axiom,
( sk_c8 = multiply(sk_c2,sk_c3)
| sk_c9 = multiply(sk_c6,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f17,axiom,
( sk_c3 = inverse(sk_c2)
| sk_c9 = multiply(sk_c6,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f33,axiom,
( sk_c9 = inverse(sk_c4)
| sk_c9 = multiply(sk_c6,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f5,axiom,
( inverse(sk_c1) = sk_c9
| sk_c9 = multiply(sk_c6,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f4011,plain,
( ! [X3,X8,X9,X7,X4] :
( identity != multiply(X8,identity)
| identity != multiply(X9,identity)
| identity != multiply(X3,identity)
| identity != multiply(identity,X7)
| identity != multiply(inverse(X4),identity)
| identity != inverse(X3)
| identity != inverse(X8)
| identity != inverse(X7)
| identity != sk_c8
| identity != inverse(X9) )
| ~ spl0_12 ),
inference(forward_demodulation,[],[f4010,f1646]) ).
fof(f4010,plain,
( ! [X3,X8,X9,X7,X4] :
( identity != multiply(X9,identity)
| identity != multiply(X3,identity)
| identity != multiply(identity,X7)
| identity != multiply(inverse(X4),identity)
| identity != inverse(X3)
| identity != inverse(X8)
| identity != inverse(X7)
| identity != sk_c8
| identity != inverse(X9)
| sk_c9 != multiply(X8,identity) )
| ~ spl0_12 ),
inference(forward_demodulation,[],[f4009,f1646]) ).
fof(f4009,plain,
( ! [X3,X8,X9,X7,X4] :
( identity != multiply(X3,identity)
| identity != multiply(identity,X7)
| identity != multiply(inverse(X4),identity)
| identity != inverse(X3)
| identity != inverse(X8)
| identity != inverse(X7)
| identity != sk_c8
| identity != inverse(X9)
| sk_c9 != multiply(X9,identity)
| sk_c9 != multiply(X8,identity) )
| ~ spl0_12 ),
inference(forward_demodulation,[],[f4008,f1646]) ).
fof(f4008,plain,
( ! [X3,X8,X9,X7,X4] :
( identity != multiply(identity,X7)
| identity != multiply(inverse(X4),identity)
| identity != inverse(X3)
| identity != inverse(X8)
| identity != inverse(X7)
| identity != sk_c8
| identity != inverse(X9)
| sk_c9 != multiply(X3,identity)
| sk_c9 != multiply(X9,identity)
| sk_c9 != multiply(X8,identity) )
| ~ spl0_12 ),
inference(forward_demodulation,[],[f4007,f443]) ).
fof(f4007,plain,
( ! [X3,X8,X9,X7,X4] :
( identity != multiply(identity,multiply(X7,identity))
| identity != multiply(inverse(X4),identity)
| identity != inverse(X3)
| identity != inverse(X8)
| identity != inverse(X7)
| identity != sk_c8
| identity != inverse(X9)
| sk_c9 != multiply(X3,identity)
| sk_c9 != multiply(X9,identity)
| sk_c9 != multiply(X8,identity) )
| ~ spl0_12 ),
inference(forward_demodulation,[],[f4006,f1646]) ).
fof(f4006,plain,
( ! [X3,X8,X9,X7,X4] :
( identity != multiply(inverse(X4),identity)
| identity != inverse(X3)
| identity != inverse(X8)
| identity != inverse(X7)
| identity != sk_c8
| identity != inverse(X9)
| identity != multiply(sk_c9,multiply(X7,sk_c9))
| sk_c9 != multiply(X3,identity)
| sk_c9 != multiply(X9,identity)
| sk_c9 != multiply(X8,identity) )
| ~ spl0_12 ),
inference(forward_demodulation,[],[f4005,f1646]) ).
fof(f4005,plain,
( ! [X3,X8,X9,X7,X4] :
( identity != inverse(X3)
| identity != inverse(X8)
| identity != inverse(X7)
| identity != sk_c8
| identity != inverse(X9)
| identity != multiply(inverse(X4),sk_c9)
| identity != multiply(sk_c9,multiply(X7,sk_c9))
| sk_c9 != multiply(X3,identity)
| sk_c9 != multiply(X9,identity)
| sk_c9 != multiply(X8,identity) )
| ~ spl0_12 ),
inference(forward_demodulation,[],[f4004,f1646]) ).
fof(f4004,plain,
( ! [X3,X8,X9,X7,X4] :
( identity != inverse(X8)
| identity != inverse(X7)
| identity != sk_c8
| identity != inverse(X9)
| sk_c9 != inverse(X3)
| identity != multiply(inverse(X4),sk_c9)
| identity != multiply(sk_c9,multiply(X7,sk_c9))
| sk_c9 != multiply(X3,identity)
| sk_c9 != multiply(X9,identity)
| sk_c9 != multiply(X8,identity) )
| ~ spl0_12 ),
inference(forward_demodulation,[],[f4003,f1646]) ).
fof(f4003,plain,
( ! [X3,X8,X9,X7,X4] :
( identity != inverse(X7)
| identity != sk_c8
| identity != inverse(X9)
| sk_c9 != inverse(X8)
| sk_c9 != inverse(X3)
| identity != multiply(inverse(X4),sk_c9)
| identity != multiply(sk_c9,multiply(X7,sk_c9))
| sk_c9 != multiply(X3,identity)
| sk_c9 != multiply(X9,identity)
| sk_c9 != multiply(X8,identity) )
| ~ spl0_12 ),
inference(forward_demodulation,[],[f1427,f1646]) ).
fof(f18,axiom,
( sk_c3 = inverse(sk_c2)
| sk_c9 = multiply(sk_c7,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f29,axiom,
( sk_c5 = multiply(sk_c4,sk_c9)
| sk_c9 = multiply(sk_c6,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f28,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c5 = multiply(sk_c4,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f20,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c8 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f12,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c8 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f32,axiom,
( sk_c9 = inverse(sk_c4)
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f16,axiom,
( sk_c3 = inverse(sk_c2)
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f1426,plain,
! [X3,X8,X9,X7,X4] :
( identity != sk_c8
| sk_c8 != inverse(X9)
| sk_c9 != inverse(X7)
| sk_c9 != inverse(X8)
| sk_c9 != inverse(X3)
| sk_c8 != multiply(inverse(X4),sk_c9)
| sk_c8 != multiply(sk_c9,multiply(X7,sk_c9))
| sk_c9 != multiply(X3,sk_c8)
| sk_c9 != multiply(X9,sk_c8)
| sk_c9 != multiply(X8,sk_c8) ),
inference(forward_demodulation,[],[f38,f442]) ).
fof(f1325,plain,
! [X0,X1] : multiply(X1,X0) = inverse(multiply(inverse(X0),inverse(X1))),
inference(superposition,[],[f986,f1165]) ).
fof(f1323,plain,
! [X2,X0,X1] : multiply(X1,X2) = multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,X2)),
inference(superposition,[],[f3,f1165]) ).
fof(f1319,plain,
! [X0,X1] : multiply(X1,inverse(X0)) = inverse(multiply(X0,inverse(X1))),
inference(superposition,[],[f898,f1165]) ).
fof(f1313,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X0,multiply(X1,inverse(X2)))),multiply(X0,X1)) = X2,
inference(superposition,[],[f1165,f3]) ).
fof(f1165,plain,
! [X0,X1] : multiply(inverse(multiply(X1,inverse(X0))),X1) = X0,
inference(forward_demodulation,[],[f1118,f469]) ).
fof(f1118,plain,
! [X0,X1] : multiply(inverse(multiply(X1,inverse(X0))),inverse(inverse(X1))) = X0,
inference(superposition,[],[f812,f808]) ).
fof(f1235,plain,
! [X0,X1] : inverse(multiply(inverse(X0),X1)) = multiply(inverse(X1),X0),
inference(superposition,[],[f986,f904]) ).
fof(f1233,plain,
! [X2,X0,X1] : multiply(inverse(X1),X2) = multiply(inverse(multiply(X0,X1)),multiply(X0,X2)),
inference(superposition,[],[f3,f904]) ).
fof(f1229,plain,
! [X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(X1),inverse(X0)),
inference(superposition,[],[f898,f904]) ).
fof(f1209,plain,
! [X0,X1] : inverse(multiply(inverse(X0),X1)) = multiply(inverse(X1),X0),
inference(superposition,[],[f904,f444]) ).
fof(f1208,plain,
! [X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(X1),inverse(X0)),
inference(superposition,[],[f904,f60]) ).
fof(f1199,plain,
! [X2,X0,X1] : inverse(X2) = multiply(inverse(multiply(X0,multiply(X1,X2))),multiply(X0,X1)),
inference(superposition,[],[f904,f3]) ).
fof(f904,plain,
! [X0,X1] : inverse(X0) = multiply(inverse(multiply(X1,X0)),X1),
inference(forward_demodulation,[],[f833,f469]) ).
fof(f833,plain,
! [X0,X1] : inverse(X0) = multiply(inverse(multiply(X1,X0)),inverse(inverse(X1))),
inference(superposition,[],[f808,f808]) ).
fof(f1143,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,inverse(multiply(inverse(X2),multiply(X0,X1))))) = X2,
inference(superposition,[],[f3,f812]) ).
fof(f1142,plain,
! [X0,X1] : multiply(X0,X1) = inverse(multiply(inverse(X1),inverse(X0))),
inference(superposition,[],[f444,f812]) ).
fof(f1140,plain,
! [X2,X0,X1] : multiply(X1,X2) = multiply(X0,multiply(inverse(multiply(inverse(X1),X0)),X2)),
inference(superposition,[],[f3,f812]) ).
fof(f1139,plain,
! [X0,X1] : multiply(inverse(X0),X1) = inverse(multiply(inverse(X1),X0)),
inference(superposition,[],[f60,f812]) ).
fof(f1138,plain,
! [X0,X1] : identity = multiply(X0,multiply(inverse(multiply(inverse(X1),X0)),inverse(X1))),
inference(superposition,[],[f539,f812]) ).
fof(f1137,plain,
! [X0,X1] : inverse(X0) = multiply(inverse(multiply(inverse(X1),X0)),inverse(X1)),
inference(superposition,[],[f808,f812]) ).
fof(f1125,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,inverse(multiply(inverse(X2),multiply(X0,X1))))) = X2,
inference(superposition,[],[f812,f3]) ).
fof(f1119,plain,
! [X0,X1] : multiply(inverse(multiply(inverse(X1),inverse(X0))),inverse(X1)) = X0,
inference(superposition,[],[f812,f812]) ).
fof(f812,plain,
! [X0,X1] : multiply(X1,inverse(multiply(inverse(X0),X1))) = X0,
inference(forward_demodulation,[],[f691,f443]) ).
fof(f691,plain,
! [X0,X1] : multiply(X0,identity) = multiply(X1,inverse(multiply(inverse(X0),X1))),
inference(superposition,[],[f444,f539]) ).
fof(f1075,plain,
! [X2,X0,X1] : multiply(X0,X2) = multiply(multiply(X0,inverse(X1)),multiply(X1,X2)),
inference(superposition,[],[f3,f986]) ).
fof(f1074,plain,
! [X0,X1] : multiply(inverse(multiply(X0,inverse(X1))),X0) = X1,
inference(superposition,[],[f60,f986]) ).
fof(f1073,plain,
! [X0,X1] : identity = multiply(multiply(X0,inverse(X1)),multiply(X1,inverse(X0))),
inference(superposition,[],[f539,f986]) ).
fof(f1072,plain,
! [X0,X1] : multiply(X1,inverse(X0)) = inverse(multiply(X0,inverse(X1))),
inference(superposition,[],[f808,f986]) ).
fof(f1069,plain,
! [X2,X0,X1] : multiply(X0,X1) = multiply(multiply(X0,multiply(X1,inverse(X2))),X2),
inference(superposition,[],[f986,f3]) ).
fof(f986,plain,
! [X0,X1] : multiply(multiply(X1,inverse(X0)),X0) = X1,
inference(superposition,[],[f898,f469]) ).
fof(f994,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),multiply(inverse(X1),X2)) = multiply(X0,X2),
inference(superposition,[],[f3,f898]) ).
fof(f993,plain,
! [X0,X1] : inverse(X1) = multiply(inverse(multiply(X0,X1)),X0),
inference(superposition,[],[f60,f898]) ).
fof(f992,plain,
! [X0,X1] : identity = multiply(multiply(X0,X1),multiply(inverse(X1),inverse(X0))),
inference(superposition,[],[f539,f898]) ).
fof(f991,plain,
! [X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(X1),inverse(X0)),
inference(superposition,[],[f808,f898]) ).
fof(f968,plain,
! [X0,X1] : multiply(X1,inverse(multiply(inverse(X0),X1))) = X0,
inference(superposition,[],[f898,f444]) ).
fof(f958,plain,
! [X2,X0,X1] : multiply(X0,X1) = multiply(multiply(X0,multiply(X1,X2)),inverse(X2)),
inference(superposition,[],[f898,f3]) ).
fof(f898,plain,
! [X0,X1] : multiply(multiply(X0,X1),inverse(X1)) = X0,
inference(forward_demodulation,[],[f829,f469]) ).
fof(f829,plain,
! [X0,X1] : inverse(inverse(X0)) = multiply(multiply(X0,X1),inverse(X1)),
inference(superposition,[],[f808,f60]) ).
fof(f863,plain,
! [X2,X0,X1] : inverse(X2) = multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1))))),
inference(superposition,[],[f3,f808]) ).
fof(f862,plain,
! [X0,X1] : inverse(multiply(X1,inverse(X0))) = multiply(X0,inverse(X1)),
inference(superposition,[],[f444,f808]) ).
fof(f860,plain,
! [X2,X0,X1] : multiply(X0,multiply(inverse(multiply(X1,X0)),X2)) = multiply(inverse(X1),X2),
inference(superposition,[],[f3,f808]) ).
fof(f859,plain,
! [X0,X1] : inverse(multiply(X1,X0)) = multiply(inverse(X0),inverse(X1)),
inference(superposition,[],[f60,f808]) ).
fof(f950,plain,
! [X0,X1] : identity = multiply(X0,multiply(inverse(multiply(X1,X0)),X1)),
inference(forward_demodulation,[],[f858,f469]) ).
fof(f858,plain,
! [X0,X1] : identity = multiply(X0,multiply(inverse(multiply(X1,X0)),inverse(inverse(X1)))),
inference(superposition,[],[f539,f808]) ).
fof(f849,plain,
! [X2,X0,X1] : inverse(X2) = multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1))))),
inference(superposition,[],[f808,f3]) ).
fof(f830,plain,
! [X0,X1] : inverse(X0) = multiply(multiply(inverse(X0),X1),inverse(X1)),
inference(superposition,[],[f808,f444]) ).
fof(f820,plain,
! [X2,X0,X1] : inverse(multiply(X0,X1)) = multiply(X2,inverse(multiply(X0,multiply(X1,X2)))),
inference(superposition,[],[f808,f3]) ).
fof(f808,plain,
! [X0,X1] : inverse(X0) = multiply(X1,inverse(multiply(X0,X1))),
inference(forward_demodulation,[],[f688,f443]) ).
fof(f688,plain,
! [X0,X1] : multiply(inverse(X0),identity) = multiply(X1,inverse(multiply(X0,X1))),
inference(superposition,[],[f60,f539]) ).
fof(f813,plain,
! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(X0,multiply(X1,X2)))))),
inference(forward_demodulation,[],[f692,f3]) ).
fof(f692,plain,
! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(multiply(X0,X1),X2))))),
inference(superposition,[],[f3,f539]) ).
fof(f810,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
inference(forward_demodulation,[],[f809,f3]) ).
fof(f809,plain,
! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,inverse(multiply(X0,X1))),X2)) = X2,
inference(forward_demodulation,[],[f689,f1]) ).
fof(f689,plain,
! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,inverse(multiply(X0,X1))),X2)) = multiply(identity,X2),
inference(superposition,[],[f3,f539]) ).
fof(f787,plain,
! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(X0,multiply(X1,X2)))))),
inference(forward_demodulation,[],[f674,f3]) ).
fof(f674,plain,
! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(multiply(X0,X1),X2))))),
inference(superposition,[],[f539,f3]) ).
fof(f663,plain,
! [X2,X0,X1] : identity = multiply(X2,multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1)))))),
inference(superposition,[],[f539,f3]) ).
fof(f635,plain,
! [X2,X0,X1] : identity = multiply(multiply(X0,X1),multiply(X2,inverse(multiply(X0,multiply(X1,X2))))),
inference(superposition,[],[f539,f3]) ).
fof(f539,plain,
! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
inference(superposition,[],[f442,f3]) ).
fof(f602,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
inference(superposition,[],[f3,f444]) ).
fof(f592,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
inference(superposition,[],[f444,f3]) ).
fof(f444,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[],[f293,f60]) ).
fof(f550,plain,
! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
inference(superposition,[],[f3,f442]) ).
fof(f573,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(forward_demodulation,[],[f548,f1]) ).
fof(f548,plain,
! [X0,X1] : multiply(identity,X1) = multiply(X0,multiply(inverse(X0),X1)),
inference(superposition,[],[f3,f442]) ).
fof(f442,plain,
! [X0] : identity = multiply(X0,inverse(X0)),
inference(superposition,[],[f293,f2]) ).
fof(f517,plain,
! [X0] : identity = multiply(X0,inverse(X0)),
inference(superposition,[],[f2,f469]) ).
fof(f516,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[],[f60,f469]) ).
fof(f469,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f443,f283]) ).
fof(f505,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f491,f443]) ).
fof(f491,plain,
! [X0] : inverse(inverse(X0)) = multiply(X0,identity),
inference(superposition,[],[f293,f443]) ).
fof(f478,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f283,f443]) ).
fof(f497,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f476,f443]) ).
fof(f476,plain,
! [X0] : inverse(inverse(X0)) = multiply(X0,identity),
inference(superposition,[],[f443,f293]) ).
fof(f443,plain,
! [X0] : multiply(X0,identity) = X0,
inference(superposition,[],[f293,f283]) ).
fof(f450,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[],[f60,f293]) ).
fof(f449,plain,
! [X0] : multiply(X0,identity) = X0,
inference(superposition,[],[f283,f293]) ).
fof(f447,plain,
! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
inference(superposition,[],[f60,f293]) ).
fof(f446,plain,
! [X0] : identity = multiply(X0,inverse(X0)),
inference(superposition,[],[f2,f293]) ).
fof(f293,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
inference(superposition,[],[f60,f60]) ).
fof(f416,plain,
identity = inverse(identity),
inference(superposition,[],[f401,f283]) ).
fof(f419,plain,
identity = inverse(identity),
inference(superposition,[],[f283,f401]) ).
fof(f428,plain,
! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f418,f1]) ).
fof(f418,plain,
! [X0,X1] : multiply(identity,X1) = multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)),
inference(superposition,[],[f3,f401]) ).
fof(f417,plain,
! [X0] : multiply(inverse(inverse(inverse(inverse(X0)))),identity) = X0,
inference(superposition,[],[f60,f401]) ).
fof(f401,plain,
! [X0] : identity = multiply(inverse(inverse(inverse(X0))),X0),
inference(superposition,[],[f60,f283]) ).
fof(f411,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
inference(forward_demodulation,[],[f402,f1]) ).
fof(f402,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),multiply(identity,X1)),
inference(superposition,[],[f3,f283]) ).
fof(f283,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f60,f2]) ).
fof(f286,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[],[f60,f3]) ).
fof(f60,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f54,f1]) ).
fof(f54,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f3,f2]) ).
fof(f19,axiom,
( sk_c3 = inverse(sk_c2)
| sk_c8 = inverse(sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f7,axiom,
( sk_c8 = inverse(sk_c7)
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f6,axiom,
( inverse(sk_c1) = sk_c9
| sk_c9 = multiply(sk_c7,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f38,plain,
! [X3,X8,X9,X7,X4] :
( sk_c8 != inverse(X9)
| sk_c9 != inverse(X7)
| sk_c9 != inverse(X8)
| sk_c9 != inverse(X3)
| sk_c8 != multiply(inverse(X4),sk_c9)
| sk_c8 != multiply(sk_c9,multiply(X7,sk_c9))
| sk_c8 != multiply(X4,inverse(X4))
| sk_c9 != multiply(X3,sk_c8)
| sk_c9 != multiply(X9,sk_c8)
| sk_c9 != multiply(X8,sk_c8) ),
inference(equality_resolution,[],[f37]) ).
fof(f37,plain,
! [X3,X8,X6,X9,X7,X4] :
( sk_c8 != inverse(X9)
| sk_c9 != inverse(X7)
| sk_c9 != inverse(X8)
| sk_c9 != inverse(X3)
| sk_c8 != multiply(inverse(X4),sk_c9)
| sk_c8 != multiply(sk_c9,X6)
| sk_c8 != multiply(X4,inverse(X4))
| sk_c9 != multiply(X3,sk_c8)
| sk_c9 != multiply(X9,sk_c8)
| sk_c9 != multiply(X8,sk_c8)
| multiply(X7,sk_c9) != X6 ),
inference(equality_resolution,[],[f36]) ).
fof(f36,axiom,
! [X3,X8,X6,X9,X7,X4,X5] :
( sk_c8 != inverse(X9)
| sk_c9 != inverse(X7)
| sk_c9 != inverse(X8)
| sk_c9 != inverse(X3)
| inverse(X4) != X5
| sk_c8 != multiply(X5,sk_c9)
| sk_c8 != multiply(sk_c9,X6)
| sk_c8 != multiply(X4,X5)
| sk_c9 != multiply(X3,sk_c8)
| sk_c9 != multiply(X9,sk_c8)
| sk_c9 != multiply(X8,sk_c8)
| multiply(X7,sk_c9) != X6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
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(f4,axiom,
( sk_c9 = inverse(sk_c6)
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
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(f6537,plain,
( spl0_2
| spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f6536]) ).
fof(f6536,plain,
( $false
| spl0_2
| spl0_11
| ~ spl0_12 ),
inference(global_subsumption,[],[f1,f2,f4,f3,f38,f6,f7,f19,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1426,f16,f32,f12,f20,f28,f29,f18,f4011,f5,f33,f17,f13,f21,f1641,f5822,f26,f30,f14,f22,f10,f31,f27,f23,f11,f35,f34,f25,f9,f24,f8,f45,f6085,f1427,f1646,f6399,f6400,f6404,f6084,f6406,f6470,f6482,f6446,f6486,f6443,f6487,f6439,f6488,f6490,f6424,f15,f6493,f6419,f6495,f6402,f6496,f6397,f6497,f6502,f6506,f6432,f6512,f6516,f6520,f6524,f6528,f6531,f5823,f1667]) ).
fof(f6535,plain,
( spl0_2
| spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f6534]) ).
fof(f6534,plain,
( $false
| spl0_2
| spl0_11
| ~ spl0_12 ),
inference(global_subsumption,[],[f1,f2,f4,f3,f38,f6,f7,f19,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1426,f16,f32,f12,f20,f28,f29,f18,f1667,f4011,f5,f33,f17,f13,f21,f1641,f5822,f26,f30,f14,f22,f10,f31,f27,f23,f11,f35,f34,f25,f9,f24,f8,f45,f6085,f1427,f1646,f6399,f6400,f6404,f6084,f6406,f6470,f6482,f6446,f6486,f6443,f6487,f6439,f6488,f6490,f6424,f15,f6493,f6419,f6495,f6402,f6496,f6397,f6497,f6502,f6506,f6432,f6512,f6516,f6520,f6524,f6528,f6531,f5823]) ).
fof(f6533,plain,
( spl0_2
| spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f6532]) ).
fof(f6532,plain,
( $false
| spl0_2
| spl0_11
| ~ spl0_12 ),
inference(global_subsumption,[],[f1,f2,f4,f3,f38,f6,f7,f19,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1426,f16,f32,f12,f20,f28,f29,f18,f1667,f4011,f5,f33,f17,f13,f21,f1641,f5822,f5823,f26,f30,f14,f22,f10,f31,f27,f23,f11,f35,f34,f25,f9,f24,f8,f45,f6085,f1427,f1646,f6399,f6400,f6404,f6084,f6406,f6470,f6482,f6446,f6486,f6443,f6487,f6439,f6488,f6490,f6424,f15,f6493,f6419,f6495,f6402,f6496,f6397,f6497,f6502,f6506,f6432,f6512,f6516,f6520,f6524,f6528,f6531]) ).
fof(f6530,plain,
( spl0_2
| spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f6529]) ).
fof(f6529,plain,
( $false
| spl0_2
| spl0_11
| ~ spl0_12 ),
inference(global_subsumption,[],[f1,f2,f4,f3,f38,f6,f7,f19,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1426,f16,f32,f12,f20,f28,f29,f18,f1667,f4011,f5,f33,f17,f13,f21,f1641,f5822,f5823,f26,f30,f14,f22,f10,f31,f27,f23,f11,f35,f34,f25,f9,f24,f8,f45,f6085,f1427,f1646,f6399,f6400,f6404,f6084,f6406,f6470,f6482,f6446,f6486,f6443,f6487,f6439,f6488,f6490,f6424,f15,f6493,f6419,f6495,f6402,f6496,f6397,f6497,f6502,f6506,f6432,f6512,f6516,f6520,f6524,f6528]) ).
fof(f6526,plain,
( spl0_2
| spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f6525]) ).
fof(f6525,plain,
( $false
| spl0_2
| spl0_11
| ~ spl0_12 ),
inference(global_subsumption,[],[f1,f2,f4,f3,f38,f6,f7,f19,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1426,f16,f32,f12,f20,f28,f29,f18,f1667,f4011,f5,f33,f17,f13,f21,f1641,f5822,f5823,f26,f30,f14,f22,f10,f31,f27,f23,f11,f35,f34,f25,f9,f24,f8,f45,f6085,f1427,f1646,f6399,f6400,f6404,f6084,f6406,f6470,f6482,f6446,f6486,f6443,f6487,f6439,f6488,f6490,f6424,f15,f6493,f6419,f6495,f6402,f6496,f6397,f6497,f6502,f6506,f6432,f6512,f6516,f6520,f6524]) ).
fof(f6522,plain,
( spl0_2
| spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f6521]) ).
fof(f6521,plain,
( $false
| spl0_2
| spl0_11
| ~ spl0_12 ),
inference(global_subsumption,[],[f1,f2,f4,f3,f38,f6,f7,f19,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1426,f16,f32,f12,f20,f28,f29,f18,f1667,f4011,f5,f33,f17,f13,f21,f1641,f5822,f5823,f26,f30,f14,f22,f10,f31,f27,f23,f11,f35,f34,f25,f9,f24,f8,f45,f6085,f1427,f1646,f6399,f6400,f6404,f6084,f6406,f6470,f6482,f6446,f6486,f6443,f6487,f6439,f6488,f6490,f6424,f15,f6493,f6419,f6495,f6402,f6496,f6397,f6497,f6502,f6506,f6432,f6512,f6516,f6520]) ).
fof(f6518,plain,
( spl0_2
| spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f6517]) ).
fof(f6517,plain,
( $false
| spl0_2
| spl0_11
| ~ spl0_12 ),
inference(global_subsumption,[],[f1,f2,f4,f3,f38,f6,f7,f19,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1426,f16,f32,f12,f20,f28,f29,f18,f1667,f4011,f5,f33,f17,f13,f21,f1641,f5822,f5823,f26,f30,f14,f22,f10,f31,f27,f23,f11,f35,f34,f25,f9,f24,f8,f45,f6085,f1427,f1646,f6399,f6400,f6404,f6084,f6406,f6470,f6482,f6446,f6486,f6443,f6487,f6439,f6488,f6490,f6424,f15,f6493,f6419,f6495,f6402,f6496,f6397,f6497,f6502,f6506,f6432,f6512,f6516]) ).
fof(f6514,plain,
( spl0_2
| spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f6513]) ).
fof(f6513,plain,
( $false
| spl0_2
| spl0_11
| ~ spl0_12 ),
inference(global_subsumption,[],[f1,f2,f4,f3,f38,f6,f7,f19,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1426,f16,f32,f12,f20,f28,f29,f18,f1667,f4011,f5,f33,f17,f13,f21,f1641,f5822,f5823,f26,f30,f14,f22,f10,f31,f27,f23,f11,f35,f34,f25,f9,f24,f8,f45,f6085,f1427,f1646,f6399,f6400,f6404,f6084,f6406,f6470,f6482,f6446,f6486,f6443,f6487,f6439,f6488,f6490,f6424,f15,f6493,f6419,f6495,f6402,f6496,f6397,f6497,f6502,f6506,f6432,f6512]) ).
fof(f6510,plain,
( spl0_2
| spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f6509]) ).
fof(f6509,plain,
( $false
| spl0_2
| spl0_11
| ~ spl0_12 ),
inference(global_subsumption,[],[f6432,f1,f2,f4,f3,f38,f6,f7,f19,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1426,f16,f32,f12,f20,f28,f29,f18,f5,f33,f17,f13,f21,f1641,f5822,f5823,f26,f30,f14,f22,f10,f31,f27,f23,f11,f35,f34,f25,f9,f24,f8,f45,f6085,f1427,f6084,f15,f6493]) ).
fof(f6508,plain,
( spl0_2
| spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f6507]) ).
fof(f6507,plain,
( $false
| spl0_2
| spl0_11
| ~ spl0_12 ),
inference(global_subsumption,[],[f6506,f1,f2,f4,f3,f38,f6,f7,f19,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1426,f16,f32,f12,f20,f28,f29,f18,f5,f33,f17,f13,f21,f1641,f5822,f5823,f26,f30,f14,f22,f10,f31,f27,f23,f11,f35,f34,f25,f9,f24,f8,f45,f6085,f1427,f6084,f15,f6493]) ).
fof(f6505,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_11
| ~ spl0_12
| spl0_14 ),
inference(avatar_contradiction_clause,[],[f6504]) ).
fof(f6504,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_11
| ~ spl0_12
| spl0_14 ),
inference(global_subsumption,[],[f1,f2,f4,f3,f38,f6,f7,f147,f149,f19,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1298,f1205,f1130,f1106,f1057,f987,f964,f852,f1390,f1395,f438,f398,f294,f290,f1426,f16,f32,f12,f20,f28,f29,f18,f1472,f1473,f1485,f1480,f1481,f1482,f1483,f532,f1548,f578,f1618,f1619,f1623,f1624,f1648,f1649,f1651,f1654,f4039,f4040,f4041,f4066,f4067,f4045,f4068,f4069,f4071,f4049,f4072,f4074,f4011,f5,f4438,f33,f17,f13,f21,f4587,f4588,f4589,f4590,f4599,f4592,f4593,f4594,f4595,f4596,f4597,f4598,f4613,f4614,f4615,f4616,f4625,f4618,f4619,f4621,f4622,f4623,f4624,f4626,f4627,f4639,f4631,f4632,f4634,f4635,f4636,f4637,f4620,f4856,f42,f4859,f4860,f4869,f4864,f508,f4875,f4918,f4857,f4936,f4881,f4868,f4878,f4865,f4880,f4867,f4879,f4866,f4876,f4871,f4863,f4933,f4858,f4883,f4870,f4862,f26,f30,f14,f22,f10,f31,f27,f23,f11,f35,f5890,f34,f5891,f5892,f1642,f4657,f25,f5975,f9,f5984,f24,f8,f45,f6085,f1427,f1646,f4064,f6311,f6309,f6302,f6144,f6142,f6149,f1653,f6178,f6177,f6399,f6400,f6404,f6084,f6406,f6470,f6482,f6484,f6446,f6486,f6443,f6487,f6439,f6488,f6434,f6490,f6424,f15,f6493,f6419,f6495,f6402,f6496,f6397,f6497,f6498,f6499,f6502,f4110,f6415,f6503]) ).
fof(f6503,plain,
( identity != sk_c1
| ~ spl0_1
| spl0_2
| ~ spl0_11
| ~ spl0_12
| spl0_14 ),
inference(superposition,[],[f4110,f6415]) ).
fof(f6415,plain,
( sk_c1 = sk_c5
| ~ spl0_1
| spl0_2
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f6414,f443]) ).
fof(f6414,plain,
( sk_c5 = multiply(sk_c1,identity)
| ~ spl0_1
| spl0_2
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f6413,f1646]) ).
fof(f6413,plain,
( sk_c5 = multiply(sk_c1,sk_c9)
| ~ spl0_1
| spl0_2
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f5984,f45]) ).
fof(f4110,plain,
( identity != sk_c5
| spl0_14 ),
inference(avatar_component_clause,[],[f4109]) ).
fof(f4109,plain,
( spl0_14
<=> identity = sk_c5 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f6499,plain,
( sk_c1 = sk_c5
| ~ spl0_1
| spl0_2
| ~ spl0_11
| ~ spl0_12 ),
inference(global_subsumption,[],[f1,f2,f4,f3,f38,f6,f7,f147,f149,f19,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1298,f1205,f1130,f1106,f1057,f987,f964,f852,f1390,f1395,f438,f398,f294,f290,f1426,f16,f32,f12,f20,f28,f29,f18,f1472,f1473,f1485,f1480,f1481,f1482,f1483,f532,f1548,f578,f1618,f1619,f1623,f1624,f1648,f1649,f1651,f1654,f4039,f4040,f4041,f4066,f4067,f4045,f4068,f4069,f4071,f4049,f4072,f4074,f4011,f5,f4438,f33,f17,f13,f21,f4587,f4588,f4589,f4590,f4599,f4592,f4593,f4594,f4595,f4596,f4597,f4598,f4613,f4614,f4615,f4616,f4625,f4618,f4619,f4621,f4622,f4623,f4624,f4626,f4627,f4639,f4631,f4632,f4634,f4635,f4636,f4637,f4620,f4856,f42,f4859,f4860,f4869,f4864,f508,f4875,f4918,f4857,f4936,f4881,f4868,f4878,f4865,f4880,f4867,f4879,f4866,f4876,f4871,f4863,f4933,f4858,f4883,f4870,f4862,f26,f30,f14,f22,f10,f31,f27,f23,f11,f35,f5890,f34,f5891,f5892,f1642,f4657,f25,f5975,f9,f5984,f24,f8,f45,f6085,f1427,f1646,f4064,f6311,f6309,f6302,f6144,f6142,f6149,f1653,f6178,f6177,f6399,f6400,f6404,f6084,f6406,f6470,f6482,f6484,f6446,f6486,f6443,f6487,f6439,f6488,f6434,f6490,f6424,f15,f6493,f6419,f6415,f6495,f6402,f6496,f6397,f6497,f6498]) ).
fof(f6498,plain,
( identity = multiply(sk_c6,sk_c8)
| sk_c1 = sk_c5
| ~ spl0_1
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f6392,f1646]) ).
fof(f6392,plain,
( sk_c1 = sk_c5
| sk_c9 = multiply(sk_c6,sk_c8)
| ~ spl0_1
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f6391,f443]) ).
fof(f6391,plain,
( sk_c5 = multiply(sk_c1,identity)
| sk_c9 = multiply(sk_c6,sk_c8)
| ~ spl0_1
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f5975,f1646]) ).
fof(f6434,plain,
( sk_c1 = sk_c5
| sk_c8 = inverse(sk_c7)
| ~ spl0_1
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f6433,f443]) ).
fof(f6433,plain,
( sk_c5 = multiply(sk_c1,identity)
| sk_c8 = inverse(sk_c7)
| ~ spl0_1
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f6432,f4657]) ).
fof(f6484,plain,
( identity = multiply(sk_c7,sk_c8)
| sk_c1 = sk_c5
| ~ spl0_1
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f6451,f1646]) ).
fof(f6451,plain,
( sk_c1 = sk_c5
| sk_c9 = multiply(sk_c7,sk_c8)
| ~ spl0_1
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f6450,f443]) ).
fof(f6450,plain,
( sk_c5 = multiply(sk_c1,identity)
| sk_c9 = multiply(sk_c7,sk_c8)
| ~ spl0_1
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f6449,f4657]) ).
fof(f6177,plain,
( identity = sk_c1
| ~ spl0_1
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f4064,f4657]) ).
fof(f6178,plain,
( identity = sk_c1
| ~ spl0_1
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f4657,f4064]) ).
fof(f1653,plain,
( identity = sk_c1
| ~ spl0_1
| ~ spl0_12 ),
inference(forward_demodulation,[],[f1650,f416]) ).
fof(f1650,plain,
( sk_c1 = inverse(identity)
| ~ spl0_1
| ~ spl0_12 ),
inference(superposition,[],[f508,f1646]) ).
fof(f6149,plain,
( identity = sk_c1
| ~ spl0_1
| ~ spl0_12 ),
inference(forward_demodulation,[],[f6143,f416]) ).
fof(f6143,plain,
( sk_c1 = inverse(identity)
| ~ spl0_1
| ~ spl0_12 ),
inference(superposition,[],[f508,f1646]) ).
fof(f6142,plain,
( identity = inverse(sk_c1)
| ~ spl0_1
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f4039,f4657]) ).
fof(f6144,plain,
( identity = multiply(identity,sk_c1)
| ~ spl0_1
| ~ spl0_12 ),
inference(superposition,[],[f4857,f1646]) ).
fof(f6302,plain,
( identity = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_12 ),
inference(forward_demodulation,[],[f4862,f1646]) ).
fof(f6309,plain,
( identity = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_12 ),
inference(forward_demodulation,[],[f4870,f1646]) ).
fof(f6311,plain,
( identity = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_12 ),
inference(forward_demodulation,[],[f4883,f1646]) ).
fof(f4064,plain,
( identity = sk_c4
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f4042,f2]) ).
fof(f4042,plain,
( sk_c4 = multiply(inverse(identity),identity)
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f283,f4039]) ).
fof(f5984,plain,
( sk_c5 = multiply(sk_c1,sk_c9)
| sk_c9 = inverse(sk_c6)
| ~ spl0_1
| ~ spl0_11 ),
inference(forward_demodulation,[],[f28,f4657]) ).
fof(f5975,plain,
( sk_c5 = multiply(sk_c1,sk_c9)
| sk_c9 = multiply(sk_c6,sk_c8)
| ~ spl0_1
| ~ spl0_11 ),
inference(forward_demodulation,[],[f29,f4657]) ).
fof(f4657,plain,
( sk_c1 = sk_c4
| ~ spl0_1
| ~ spl0_11 ),
inference(forward_demodulation,[],[f4620,f508]) ).
fof(f1642,plain,
( sk_c9 = inverse(sk_c4)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f1640]) ).
fof(f5892,plain,
( sk_c1 = sk_c4
| ~ spl0_1
| ~ spl0_11 ),
inference(forward_demodulation,[],[f4620,f508]) ).
fof(f5891,plain,
( sk_c9 = inverse(sk_c4)
| ~ spl0_11 ),
inference(global_subsumption,[],[f1,f2,f4,f3,f38,f6,f7,f19,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1426,f16,f32,f8,f12,f20,f24,f28,f29,f25,f18,f5,f33,f17,f13,f9,f21,f1642,f4613,f4614,f4615,f4616,f4625,f4618,f4619,f4621,f4622,f4623,f4624,f4620,f1427,f26,f30,f14,f22,f10,f31,f27,f23,f15,f11,f35,f5890,f34]) ).
fof(f5890,plain,
( sk_c9 = inverse(sk_c4)
| ~ spl0_11 ),
inference(global_subsumption,[],[f1,f2,f4,f3,f38,f6,f7,f19,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1426,f16,f32,f8,f12,f20,f24,f28,f29,f25,f18,f5,f33,f17,f13,f9,f21,f1642,f4613,f4614,f4615,f4616,f4625,f4618,f4619,f4621,f4622,f4623,f4624,f4620,f34,f1427,f26,f30,f14,f22,f10,f31,f27,f23,f15,f11,f35]) ).
fof(f4862,plain,
( identity = multiply(sk_c1,sk_c9)
| ~ spl0_1 ),
inference(superposition,[],[f442,f42]) ).
fof(f4870,plain,
( identity = multiply(sk_c1,sk_c9)
| ~ spl0_1 ),
inference(superposition,[],[f2,f508]) ).
fof(f4883,plain,
( identity = multiply(sk_c1,sk_c9)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f4874,f469]) ).
fof(f4874,plain,
( identity = multiply(inverse(inverse(sk_c1)),sk_c9)
| ~ spl0_1 ),
inference(superposition,[],[f401,f508]) ).
fof(f4858,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c1,X0)) = X0
| ~ spl0_1 ),
inference(superposition,[],[f60,f42]) ).
fof(f4933,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c1,X0)) = X0
| ~ spl0_1 ),
inference(forward_demodulation,[],[f4924,f1]) ).
fof(f4924,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c1,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f4857]) ).
fof(f4863,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c9,X0)) = X0
| ~ spl0_1 ),
inference(superposition,[],[f444,f42]) ).
fof(f4871,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c9,X0)) = X0
| ~ spl0_1 ),
inference(superposition,[],[f60,f508]) ).
fof(f4876,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c1,X0)) = X0
| ~ spl0_1 ),
inference(superposition,[],[f444,f508]) ).
fof(f4866,plain,
( ! [X0] : multiply(multiply(X0,sk_c1),sk_c9) = X0
| ~ spl0_1 ),
inference(superposition,[],[f898,f42]) ).
fof(f4879,plain,
( ! [X0] : multiply(multiply(X0,sk_c9),sk_c1) = X0
| ~ spl0_1 ),
inference(superposition,[],[f898,f508]) ).
fof(f4867,plain,
( ! [X0] : multiply(multiply(X0,sk_c9),sk_c1) = X0
| ~ spl0_1 ),
inference(superposition,[],[f986,f42]) ).
fof(f4880,plain,
( ! [X0] : multiply(multiply(X0,sk_c1),sk_c9) = X0
| ~ spl0_1 ),
inference(superposition,[],[f986,f508]) ).
fof(f4865,plain,
( ! [X0] : sk_c1 = multiply(X0,inverse(multiply(sk_c9,X0)))
| ~ spl0_1 ),
inference(superposition,[],[f812,f42]) ).
fof(f4878,plain,
( ! [X0] : sk_c9 = multiply(X0,inverse(multiply(sk_c1,X0)))
| ~ spl0_1 ),
inference(superposition,[],[f812,f508]) ).
fof(f4868,plain,
( ! [X0] : sk_c1 = multiply(inverse(multiply(X0,sk_c9)),X0)
| ~ spl0_1 ),
inference(superposition,[],[f1165,f42]) ).
fof(f4881,plain,
( ! [X0] : sk_c9 = multiply(inverse(multiply(X0,sk_c1)),X0)
| ~ spl0_1 ),
inference(superposition,[],[f1165,f508]) ).
fof(f4936,plain,
( identity = multiply(sk_c1,sk_c9)
| ~ spl0_1
| ~ spl0_11 ),
inference(forward_demodulation,[],[f4618,f4657]) ).
fof(f4857,plain,
( identity = multiply(sk_c9,sk_c1)
| ~ spl0_1 ),
inference(superposition,[],[f2,f42]) ).
fof(f4918,plain,
( identity = multiply(sk_c9,sk_c1)
| ~ spl0_1
| ~ spl0_11 ),
inference(forward_demodulation,[],[f4613,f4657]) ).
fof(f4875,plain,
( identity = multiply(sk_c9,sk_c1)
| ~ spl0_1 ),
inference(superposition,[],[f442,f508]) ).
fof(f508,plain,
( sk_c1 = inverse(sk_c9)
| ~ spl0_1 ),
inference(superposition,[],[f469,f42]) ).
fof(f4864,plain,
( sk_c1 = inverse(sk_c9)
| ~ spl0_1 ),
inference(superposition,[],[f469,f42]) ).
fof(f4869,plain,
( identity = multiply(sk_c9,sk_c1)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f4861,f469]) ).
fof(f4861,plain,
( identity = multiply(inverse(inverse(sk_c9)),sk_c1)
| ~ spl0_1 ),
inference(superposition,[],[f401,f42]) ).
fof(f4860,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c9),X0)
| ~ spl0_1 ),
inference(superposition,[],[f293,f42]) ).
fof(f4859,plain,
( sk_c1 = multiply(inverse(sk_c9),identity)
| ~ spl0_1 ),
inference(superposition,[],[f283,f42]) ).
fof(f42,plain,
( inverse(sk_c1) = sk_c9
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f40]) ).
fof(f40,plain,
( spl0_1
<=> inverse(sk_c1) = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f4856,plain,
( inverse(sk_c1) = sk_c9
| ~ spl0_1
| ~ spl0_11 ),
inference(superposition,[],[f1642,f4657]) ).
fof(f4620,plain,
( sk_c4 = inverse(sk_c9)
| ~ spl0_11 ),
inference(superposition,[],[f469,f1642]) ).
fof(f4637,plain,
( ! [X0] : sk_c9 = multiply(inverse(multiply(X0,sk_c1)),X0)
| ~ spl0_1 ),
inference(superposition,[],[f1165,f508]) ).
fof(f4636,plain,
( ! [X0] : multiply(multiply(X0,sk_c1),sk_c9) = X0
| ~ spl0_1 ),
inference(superposition,[],[f986,f508]) ).
fof(f4635,plain,
( ! [X0] : multiply(multiply(X0,sk_c9),sk_c1) = X0
| ~ spl0_1 ),
inference(superposition,[],[f898,f508]) ).
fof(f4634,plain,
( ! [X0] : sk_c9 = multiply(X0,inverse(multiply(sk_c1,X0)))
| ~ spl0_1 ),
inference(superposition,[],[f812,f508]) ).
fof(f4632,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c1,X0)) = X0
| ~ spl0_1 ),
inference(superposition,[],[f444,f508]) ).
fof(f4631,plain,
( identity = multiply(sk_c9,sk_c1)
| ~ spl0_1 ),
inference(superposition,[],[f442,f508]) ).
fof(f4639,plain,
( identity = multiply(sk_c1,sk_c9)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f4630,f469]) ).
fof(f4630,plain,
( identity = multiply(inverse(inverse(sk_c1)),sk_c9)
| ~ spl0_1 ),
inference(superposition,[],[f401,f508]) ).
fof(f4627,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c9,X0)) = X0
| ~ spl0_1 ),
inference(superposition,[],[f60,f508]) ).
fof(f4626,plain,
( identity = multiply(sk_c1,sk_c9)
| ~ spl0_1 ),
inference(superposition,[],[f2,f508]) ).
fof(f4624,plain,
( ! [X0] : sk_c4 = multiply(inverse(multiply(X0,sk_c9)),X0)
| ~ spl0_11 ),
inference(superposition,[],[f1165,f1642]) ).
fof(f4623,plain,
( ! [X0] : multiply(multiply(X0,sk_c9),sk_c4) = X0
| ~ spl0_11 ),
inference(superposition,[],[f986,f1642]) ).
fof(f4622,plain,
( ! [X0] : multiply(multiply(X0,sk_c4),sk_c9) = X0
| ~ spl0_11 ),
inference(superposition,[],[f898,f1642]) ).
fof(f4621,plain,
( ! [X0] : sk_c4 = multiply(X0,inverse(multiply(sk_c9,X0)))
| ~ spl0_11 ),
inference(superposition,[],[f812,f1642]) ).
fof(f4619,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c9,X0)) = X0
| ~ spl0_11 ),
inference(superposition,[],[f444,f1642]) ).
fof(f4618,plain,
( identity = multiply(sk_c4,sk_c9)
| ~ spl0_11 ),
inference(superposition,[],[f442,f1642]) ).
fof(f4625,plain,
( identity = multiply(sk_c9,sk_c4)
| ~ spl0_11 ),
inference(forward_demodulation,[],[f4617,f469]) ).
fof(f4617,plain,
( identity = multiply(inverse(inverse(sk_c9)),sk_c4)
| ~ spl0_11 ),
inference(superposition,[],[f401,f1642]) ).
fof(f4616,plain,
( ! [X0] : multiply(inverse(sk_c9),X0) = multiply(sk_c4,X0)
| ~ spl0_11 ),
inference(superposition,[],[f293,f1642]) ).
fof(f4615,plain,
( sk_c4 = multiply(inverse(sk_c9),identity)
| ~ spl0_11 ),
inference(superposition,[],[f283,f1642]) ).
fof(f4614,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c4,X0)) = X0
| ~ spl0_11 ),
inference(superposition,[],[f60,f1642]) ).
fof(f4613,plain,
( identity = multiply(sk_c9,sk_c4)
| ~ spl0_11 ),
inference(superposition,[],[f2,f1642]) ).
fof(f4598,plain,
( ! [X0] : sk_c1 = multiply(inverse(multiply(X0,sk_c9)),X0)
| ~ spl0_1 ),
inference(superposition,[],[f1165,f42]) ).
fof(f4597,plain,
( ! [X0] : multiply(multiply(X0,sk_c9),sk_c1) = X0
| ~ spl0_1 ),
inference(superposition,[],[f986,f42]) ).
fof(f4596,plain,
( ! [X0] : multiply(multiply(X0,sk_c1),sk_c9) = X0
| ~ spl0_1 ),
inference(superposition,[],[f898,f42]) ).
fof(f4595,plain,
( ! [X0] : sk_c1 = multiply(X0,inverse(multiply(sk_c9,X0)))
| ~ spl0_1 ),
inference(superposition,[],[f812,f42]) ).
fof(f4594,plain,
( sk_c1 = inverse(sk_c9)
| ~ spl0_1 ),
inference(superposition,[],[f469,f42]) ).
fof(f4593,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c9,X0)) = X0
| ~ spl0_1 ),
inference(superposition,[],[f444,f42]) ).
fof(f4592,plain,
( identity = multiply(sk_c1,sk_c9)
| ~ spl0_1 ),
inference(superposition,[],[f442,f42]) ).
fof(f4599,plain,
( identity = multiply(sk_c9,sk_c1)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f4591,f469]) ).
fof(f4591,plain,
( identity = multiply(inverse(inverse(sk_c9)),sk_c1)
| ~ spl0_1 ),
inference(superposition,[],[f401,f42]) ).
fof(f4590,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c9),X0)
| ~ spl0_1 ),
inference(superposition,[],[f293,f42]) ).
fof(f4589,plain,
( sk_c1 = multiply(inverse(sk_c9),identity)
| ~ spl0_1 ),
inference(superposition,[],[f283,f42]) ).
fof(f4588,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c1,X0)) = X0
| ~ spl0_1 ),
inference(superposition,[],[f60,f42]) ).
fof(f4587,plain,
( identity = multiply(sk_c9,sk_c1)
| ~ spl0_1 ),
inference(superposition,[],[f2,f42]) ).
fof(f4438,plain,
( inverse(sk_c1) = sk_c9
| ~ spl0_1 ),
inference(global_subsumption,[],[f1,f2,f4,f3,f38,f31,f27,f23,f15,f11,f6,f35,f7,f42,f147,f149,f19,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1298,f1205,f1130,f1106,f1057,f987,f964,f852,f1390,f1395,f438,f398,f294,f290,f1426,f1427,f16,f32,f8,f12,f20,f24,f28,f30,f29,f26,f25,f22,f21,f14,f13,f10,f9,f34,f33,f18,f17,f508,f1472,f1473,f1485,f1480,f1481,f1482,f1483,f532,f1548,f578,f1618,f1619,f1623,f1624,f5]) ).
fof(f4074,plain,
( identity = sk_c4
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f4073,f2]) ).
fof(f4073,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c4
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f4051,f443]) ).
fof(f4051,plain,
( ! [X0] : sk_c4 = multiply(inverse(multiply(X0,identity)),X0)
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f1165,f4039]) ).
fof(f4072,plain,
( ! [X0] : multiply(X0,sk_c4) = X0
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f4050,f443]) ).
fof(f4050,plain,
( ! [X0] : multiply(multiply(X0,identity),sk_c4) = X0
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f986,f4039]) ).
fof(f4049,plain,
( ! [X0] : multiply(multiply(X0,sk_c4),identity) = X0
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f898,f4039]) ).
fof(f4071,plain,
( identity = sk_c4
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f4070,f442]) ).
fof(f4070,plain,
( ! [X0] : sk_c4 = multiply(X0,inverse(X0))
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f4048,f1]) ).
fof(f4048,plain,
( ! [X0] : sk_c4 = multiply(X0,inverse(multiply(identity,X0)))
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f812,f4039]) ).
fof(f4069,plain,
( identity = sk_c4
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f4047,f416]) ).
fof(f4047,plain,
( sk_c4 = inverse(identity)
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f469,f4039]) ).
fof(f4068,plain,
( ! [X0] : multiply(sk_c4,X0) = X0
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f4046,f1]) ).
fof(f4046,plain,
( ! [X0] : multiply(sk_c4,multiply(identity,X0)) = X0
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f444,f4039]) ).
fof(f4045,plain,
( identity = multiply(sk_c4,identity)
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f442,f4039]) ).
fof(f4067,plain,
( identity = multiply(identity,sk_c4)
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f4044,f469]) ).
fof(f4044,plain,
( identity = multiply(inverse(inverse(identity)),sk_c4)
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f401,f4039]) ).
fof(f4066,plain,
( ! [X0] : multiply(sk_c4,X0) = X0
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f4065,f1]) ).
fof(f4065,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c4,X0)
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f4043,f416]) ).
fof(f4043,plain,
( ! [X0] : multiply(inverse(identity),X0) = multiply(sk_c4,X0)
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f293,f4039]) ).
fof(f4041,plain,
( ! [X0] : multiply(identity,multiply(sk_c4,X0)) = X0
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f60,f4039]) ).
fof(f4040,plain,
( identity = multiply(identity,sk_c4)
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f2,f4039]) ).
fof(f4039,plain,
( identity = inverse(sk_c4)
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f1642,f1646]) ).
fof(f1654,plain,
( ! [X0] : multiply(sk_c1,X0) = X0
| ~ spl0_1
| ~ spl0_12 ),
inference(forward_demodulation,[],[f1652,f1]) ).
fof(f1652,plain,
( ! [X0] : multiply(sk_c1,multiply(identity,X0)) = X0
| ~ spl0_1
| ~ spl0_12 ),
inference(superposition,[],[f578,f1646]) ).
fof(f1651,plain,
( identity = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_12 ),
inference(superposition,[],[f532,f1646]) ).
fof(f1649,plain,
( ! [X0] : multiply(identity,multiply(sk_c1,X0)) = X0
| ~ spl0_1
| ~ spl0_12 ),
inference(superposition,[],[f149,f1646]) ).
fof(f1648,plain,
( identity = multiply(identity,sk_c1)
| ~ spl0_1
| ~ spl0_12 ),
inference(superposition,[],[f147,f1646]) ).
fof(f1624,plain,
( ! [X0] : sk_c1 = multiply(X0,inverse(multiply(sk_c9,X0)))
| ~ spl0_1 ),
inference(superposition,[],[f898,f578]) ).
fof(f1623,plain,
( ! [X0] : inverse(multiply(sk_c9,X0)) = multiply(inverse(X0),sk_c1)
| ~ spl0_1 ),
inference(superposition,[],[f904,f578]) ).
fof(f1619,plain,
( ! [X0] : multiply(sk_c1,X0) = inverse(multiply(inverse(X0),sk_c9))
| ~ spl0_1 ),
inference(superposition,[],[f578,f812]) ).
fof(f1618,plain,
( ! [X0] : inverse(multiply(X0,sk_c9)) = multiply(sk_c1,inverse(X0))
| ~ spl0_1 ),
inference(superposition,[],[f578,f808]) ).
fof(f578,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c9,X0)) = X0
| ~ spl0_1 ),
inference(superposition,[],[f444,f42]) ).
fof(f1548,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c9,X0)) = X0
| ~ spl0_1 ),
inference(forward_demodulation,[],[f1539,f1]) ).
fof(f1539,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c1,multiply(sk_c9,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f532]) ).
fof(f532,plain,
( identity = multiply(sk_c1,sk_c9)
| ~ spl0_1 ),
inference(superposition,[],[f442,f42]) ).
fof(f1483,plain,
( ! [X0] : sk_c9 = multiply(inverse(multiply(X0,sk_c1)),X0)
| ~ spl0_1 ),
inference(superposition,[],[f1165,f508]) ).
fof(f1482,plain,
( ! [X0] : multiply(multiply(X0,sk_c1),sk_c9) = X0
| ~ spl0_1 ),
inference(superposition,[],[f986,f508]) ).
fof(f1481,plain,
( ! [X0] : multiply(multiply(X0,sk_c9),sk_c1) = X0
| ~ spl0_1 ),
inference(superposition,[],[f898,f508]) ).
fof(f1480,plain,
( ! [X0] : sk_c9 = multiply(X0,inverse(multiply(sk_c1,X0)))
| ~ spl0_1 ),
inference(superposition,[],[f812,f508]) ).
fof(f1485,plain,
( identity = multiply(sk_c1,sk_c9)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f1476,f469]) ).
fof(f1476,plain,
( identity = multiply(inverse(inverse(sk_c1)),sk_c9)
| ~ spl0_1 ),
inference(superposition,[],[f401,f508]) ).
fof(f1473,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c9,X0)) = X0
| ~ spl0_1 ),
inference(superposition,[],[f60,f508]) ).
fof(f1472,plain,
( identity = multiply(sk_c1,sk_c9)
| ~ spl0_1 ),
inference(superposition,[],[f2,f508]) ).
fof(f290,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c9),X0)
| ~ spl0_1 ),
inference(superposition,[],[f60,f149]) ).
fof(f294,plain,
( sk_c1 = multiply(inverse(sk_c9),identity)
| ~ spl0_1 ),
inference(superposition,[],[f60,f147]) ).
fof(f398,plain,
( sk_c1 = multiply(inverse(sk_c9),identity)
| ~ spl0_1 ),
inference(superposition,[],[f283,f42]) ).
fof(f438,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c9),X0)
| ~ spl0_1 ),
inference(superposition,[],[f293,f42]) ).
fof(f1395,plain,
( sk_c1 = inverse(sk_c9)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f826,f898]) ).
fof(f826,plain,
( ! [X0] : inverse(sk_c9) = multiply(multiply(sk_c1,X0),inverse(X0))
| ~ spl0_1 ),
inference(superposition,[],[f808,f149]) ).
fof(f1390,plain,
( sk_c1 = inverse(sk_c9)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f1389,f443]) ).
fof(f1389,plain,
( inverse(sk_c9) = multiply(sk_c1,identity)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f834,f416]) ).
fof(f834,plain,
( inverse(sk_c9) = multiply(sk_c1,inverse(identity))
| ~ spl0_1 ),
inference(superposition,[],[f808,f147]) ).
fof(f852,plain,
( ! [X0] : inverse(multiply(X0,sk_c1)) = multiply(sk_c9,inverse(X0))
| ~ spl0_1 ),
inference(superposition,[],[f149,f808]) ).
fof(f964,plain,
( ! [X0] : sk_c9 = multiply(X0,inverse(multiply(sk_c1,X0)))
| ~ spl0_1 ),
inference(superposition,[],[f898,f149]) ).
fof(f987,plain,
( ! [X0] : multiply(multiply(X0,sk_c1),sk_c9) = X0
| ~ spl0_1 ),
inference(superposition,[],[f898,f42]) ).
fof(f1057,plain,
( ! [X0] : multiply(multiply(X0,sk_c9),sk_c1) = X0
| ~ spl0_1 ),
inference(superposition,[],[f986,f42]) ).
fof(f1106,plain,
( ! [X0] : sk_c1 = multiply(X0,inverse(multiply(sk_c9,X0)))
| ~ spl0_1 ),
inference(superposition,[],[f812,f42]) ).
fof(f1130,plain,
( ! [X0] : multiply(sk_c9,X0) = inverse(multiply(inverse(X0),sk_c1))
| ~ spl0_1 ),
inference(superposition,[],[f149,f812]) ).
fof(f1205,plain,
( ! [X0] : multiply(inverse(X0),sk_c9) = inverse(multiply(sk_c1,X0))
| ~ spl0_1 ),
inference(superposition,[],[f904,f149]) ).
fof(f1298,plain,
( ! [X0] : sk_c1 = multiply(inverse(multiply(X0,sk_c9)),X0)
| ~ spl0_1 ),
inference(superposition,[],[f1165,f42]) ).
fof(f149,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c1,X0)) = X0
| ~ spl0_1 ),
inference(forward_demodulation,[],[f148,f1]) ).
fof(f148,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c1,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f147]) ).
fof(f147,plain,
( identity = multiply(sk_c9,sk_c1)
| ~ spl0_1 ),
inference(superposition,[],[f2,f42]) ).
fof(f6478,plain,
( spl0_2
| ~ spl0_6
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f6477]) ).
fof(f6477,plain,
( $false
| spl0_2
| ~ spl0_6
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(global_subsumption,[],[f155,f1,f2,f4,f3,f38,f6,f7,f19,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1426,f16,f32,f12,f20,f28,f29,f18,f4011,f5,f33,f17,f13,f4447,f4454,f21,f5874,f26,f30,f14,f22,f10,f31,f27,f23,f11,f35,f34,f25,f9,f24,f8,f45,f6085,f1427,f1646,f4111,f6389,f6390,f6397,f6398,f6399,f6400,f6402,f6403,f6404,f6084,f6406,f6410,f6419,f15,f6424,f6429,f6439,f6443,f6446,f6459,f6470,f4106]) ).
fof(f4106,plain,
( identity != sk_c8
| spl0_13 ),
inference(avatar_component_clause,[],[f4105]) ).
fof(f4105,plain,
( spl0_13
<=> identity = sk_c8 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f6459,plain,
( identity = multiply(sk_c7,sk_c8)
| identity = sk_c8
| ~ spl0_12
| ~ spl0_14 ),
inference(forward_demodulation,[],[f6458,f1646]) ).
fof(f6458,plain,
( identity = sk_c8
| sk_c9 = multiply(sk_c7,sk_c8)
| ~ spl0_12
| ~ spl0_14 ),
inference(forward_demodulation,[],[f6457,f1646]) ).
fof(f6457,plain,
( sk_c9 = sk_c8
| sk_c9 = multiply(sk_c7,sk_c8)
| ~ spl0_14 ),
inference(forward_demodulation,[],[f6456,f443]) ).
fof(f6456,plain,
( sk_c8 = multiply(sk_c9,identity)
| sk_c9 = multiply(sk_c7,sk_c8)
| ~ spl0_14 ),
inference(forward_demodulation,[],[f26,f4111]) ).
fof(f6429,plain,
( identity = sk_c8
| sk_c8 = inverse(sk_c7)
| ~ spl0_12
| ~ spl0_14 ),
inference(forward_demodulation,[],[f6428,f1646]) ).
fof(f6428,plain,
( sk_c9 = sk_c8
| sk_c8 = inverse(sk_c7)
| ~ spl0_14 ),
inference(forward_demodulation,[],[f6427,f443]) ).
fof(f6427,plain,
( sk_c8 = multiply(sk_c9,identity)
| sk_c8 = inverse(sk_c7)
| ~ spl0_14 ),
inference(forward_demodulation,[],[f27,f4111]) ).
fof(f6410,plain,
( identity = sk_c8
| spl0_2
| ~ spl0_12
| ~ spl0_14 ),
inference(forward_demodulation,[],[f6409,f1646]) ).
fof(f6409,plain,
( sk_c9 = sk_c8
| spl0_2
| ~ spl0_14 ),
inference(forward_demodulation,[],[f6408,f443]) ).
fof(f6408,plain,
( sk_c8 = multiply(sk_c9,identity)
| spl0_2
| ~ spl0_14 ),
inference(forward_demodulation,[],[f6407,f4111]) ).
fof(f6403,plain,
( identity = multiply(sk_c6,sk_c8)
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(global_subsumption,[],[f1,f2,f4,f3,f38,f6,f7,f19,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1426,f16,f32,f12,f20,f28,f29,f18,f4011,f5,f33,f17,f13,f4447,f4454,f21,f5874,f26,f30,f14,f22,f10,f31,f27,f23,f15,f11,f35,f34,f4106,f25,f9,f24,f8,f1427,f1646,f4111,f6389,f6390,f6397,f6398,f6399,f6402]) ).
fof(f6398,plain,
( identity = multiply(sk_c6,sk_c8)
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(global_subsumption,[],[f1,f2,f4,f3,f38,f6,f7,f19,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1426,f16,f32,f12,f20,f28,f29,f18,f4011,f5,f33,f17,f13,f4447,f4454,f21,f5874,f26,f30,f14,f22,f10,f31,f27,f23,f15,f11,f35,f34,f4106,f25,f9,f24,f8,f1427,f1646,f4111,f6389,f6390,f6397]) ).
fof(f6390,plain,
( identity = multiply(sk_c6,sk_c8)
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(global_subsumption,[],[f1,f2,f4,f3,f38,f6,f7,f19,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1426,f16,f32,f12,f20,f28,f29,f18,f4011,f5,f33,f17,f13,f4447,f4454,f21,f5874,f26,f30,f14,f22,f10,f31,f27,f23,f15,f11,f35,f34,f4106,f25,f9,f24,f8,f1427,f1646,f4111,f6389]) ).
fof(f6389,plain,
( identity = multiply(sk_c6,sk_c8)
| identity = sk_c8
| ~ spl0_12
| ~ spl0_14 ),
inference(forward_demodulation,[],[f6388,f1646]) ).
fof(f6388,plain,
( identity = sk_c8
| sk_c9 = multiply(sk_c6,sk_c8)
| ~ spl0_12
| ~ spl0_14 ),
inference(forward_demodulation,[],[f6387,f1646]) ).
fof(f6387,plain,
( sk_c9 = sk_c8
| sk_c9 = multiply(sk_c6,sk_c8)
| ~ spl0_14 ),
inference(forward_demodulation,[],[f6386,f443]) ).
fof(f6386,plain,
( sk_c8 = multiply(sk_c9,identity)
| sk_c9 = multiply(sk_c6,sk_c8)
| ~ spl0_14 ),
inference(forward_demodulation,[],[f25,f4111]) ).
fof(f4111,plain,
( identity = sk_c5
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f4109]) ).
fof(f5874,plain,
( identity != sk_c8
| spl0_13 ),
inference(global_subsumption,[],[f1,f2,f4,f3,f38,f6,f7,f19,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1426,f16,f32,f8,f12,f20,f24,f28,f29,f25,f18,f5,f33,f17,f13,f9,f21,f34,f35,f11,f15,f23,f27,f31,f10,f22,f14,f30,f26,f4106,f1427]) ).
fof(f4454,plain,
( sk_c9 = sk_c8
| sk_c9 = multiply(sk_c6,sk_c8)
| ~ spl0_14 ),
inference(forward_demodulation,[],[f4453,f443]) ).
fof(f4453,plain,
( sk_c8 = multiply(sk_c9,identity)
| sk_c9 = multiply(sk_c6,sk_c8)
| ~ spl0_14 ),
inference(forward_demodulation,[],[f25,f4111]) ).
fof(f4447,plain,
( identity = multiply(sk_c4,sk_c9)
| sk_c9 = multiply(sk_c6,sk_c8)
| ~ spl0_14 ),
inference(forward_demodulation,[],[f29,f4111]) ).
fof(f155,plain,
( sk_c8 = inverse(sk_c7)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f153]) ).
fof(f153,plain,
( spl0_6
<=> sk_c8 = inverse(sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f6476,plain,
( spl0_2
| ~ spl0_6
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f6475]) ).
fof(f6475,plain,
( $false
| spl0_2
| ~ spl0_6
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(global_subsumption,[],[f510,f1,f2,f4,f3,f38,f6,f7,f19,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1426,f16,f32,f12,f20,f28,f29,f18,f4011,f5,f33,f17,f13,f4447,f4454,f21,f5874,f26,f30,f14,f22,f10,f31,f27,f23,f11,f35,f34,f25,f9,f24,f8,f45,f6085,f1427,f1646,f4111,f6389,f6390,f6397,f6398,f6399,f6400,f6402,f6403,f6404,f6084,f6406,f6410,f6419,f15,f6424,f6429,f6439,f6443,f6446,f6459,f6470,f4106]) ).
fof(f510,plain,
( sk_c7 = inverse(sk_c8)
| ~ spl0_6 ),
inference(superposition,[],[f469,f155]) ).
fof(f6474,plain,
( spl0_2
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f6473]) ).
fof(f6473,plain,
( $false
| spl0_2
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(global_subsumption,[],[f1,f2,f4,f3,f38,f6,f7,f19,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1426,f16,f32,f12,f20,f28,f29,f18,f4011,f5,f33,f17,f13,f4447,f4454,f21,f5874,f26,f30,f14,f22,f10,f31,f27,f23,f11,f35,f34,f25,f9,f24,f8,f45,f6085,f1427,f1646,f4111,f6389,f6390,f6397,f6398,f6399,f6400,f6402,f6403,f6404,f6084,f6406,f6410,f6419,f15,f6424,f6429,f6439,f6443,f6446,f6459,f6470,f4106]) ).
fof(f6472,plain,
( spl0_2
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f6471]) ).
fof(f6471,plain,
( $false
| spl0_2
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(global_subsumption,[],[f1,f2,f4,f3,f38,f6,f7,f19,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1426,f16,f32,f12,f20,f28,f29,f18,f4011,f5,f33,f17,f13,f4447,f4454,f21,f5874,f26,f30,f14,f22,f10,f31,f27,f23,f11,f35,f34,f4106,f25,f9,f24,f8,f45,f6085,f1427,f1646,f4111,f6389,f6390,f6397,f6398,f6399,f6400,f6402,f6403,f6404,f6084,f6406,f6410,f6419,f15,f6424,f6429,f6439,f6443,f6446,f6459,f6470]) ).
fof(f6461,plain,
( spl0_2
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f6460]) ).
fof(f6460,plain,
( $false
| spl0_2
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(global_subsumption,[],[f1,f2,f4,f3,f38,f6,f7,f19,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1426,f16,f32,f12,f20,f28,f29,f18,f4011,f5,f33,f17,f13,f4447,f4454,f21,f5874,f26,f30,f14,f22,f10,f31,f27,f23,f11,f35,f34,f4106,f25,f9,f24,f8,f45,f6085,f1427,f1646,f4111,f6389,f6390,f6397,f6398,f6399,f6400,f6402,f6403,f6404,f6084,f6406,f6410,f6419,f15,f6424,f6429,f6439,f6443,f6446,f6459]) ).
fof(f6455,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_11
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f6454]) ).
fof(f6454,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_11
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(global_subsumption,[],[f6453,f1,f2,f4,f3,f38,f6,f7,f19,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1426,f16,f32,f12,f20,f28,f29,f18,f4011,f5,f33,f17,f13,f4447,f4454,f21,f5874,f26,f30,f14,f22,f10,f31,f27,f23,f11,f35,f34,f4106,f25,f9,f24,f8,f45,f6085,f1427,f1646,f4111,f6389,f6390,f6397,f6398,f6399,f6400,f6402,f6403,f6404,f6084,f6406,f6410,f6419,f15,f6424,f6429,f6439,f6443,f6446]) ).
fof(f6453,plain,
( identity = multiply(sk_c7,sk_c8)
| identity = sk_c1
| ~ spl0_1
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14 ),
inference(forward_demodulation,[],[f6452,f1646]) ).
fof(f6452,plain,
( identity = sk_c1
| sk_c9 = multiply(sk_c7,sk_c8)
| ~ spl0_1
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14 ),
inference(forward_demodulation,[],[f6451,f4111]) ).
fof(f6448,plain,
( spl0_2
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f6447]) ).
fof(f6447,plain,
( $false
| spl0_2
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(global_subsumption,[],[f1,f2,f4,f3,f38,f6,f7,f19,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1426,f16,f32,f12,f20,f28,f29,f18,f4011,f5,f33,f17,f13,f4447,f4454,f21,f5874,f26,f30,f14,f22,f10,f31,f27,f23,f11,f35,f34,f4106,f25,f9,f24,f8,f45,f6085,f1427,f1646,f4111,f6389,f6390,f6397,f6398,f6399,f6400,f6402,f6403,f6404,f6084,f6406,f6410,f6419,f15,f6424,f6429,f6439,f6443,f6446]) ).
fof(f6445,plain,
( spl0_2
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f6444]) ).
fof(f6444,plain,
( $false
| spl0_2
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(global_subsumption,[],[f1,f2,f4,f3,f38,f6,f7,f19,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1426,f16,f32,f12,f20,f28,f29,f18,f4011,f5,f33,f17,f13,f4447,f4454,f21,f5874,f26,f30,f14,f22,f10,f31,f27,f23,f11,f35,f34,f4106,f25,f9,f24,f8,f45,f6085,f1427,f1646,f4111,f6389,f6390,f6397,f6398,f6399,f6400,f6402,f6403,f6404,f6084,f6406,f6410,f6419,f15,f6424,f6429,f6439,f6443]) ).
fof(f6441,plain,
( spl0_2
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f6440]) ).
fof(f6440,plain,
( $false
| spl0_2
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(global_subsumption,[],[f1,f2,f4,f3,f38,f6,f7,f19,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1426,f16,f32,f12,f20,f28,f29,f18,f4011,f5,f33,f17,f13,f4447,f4454,f21,f5874,f26,f30,f14,f22,f10,f31,f27,f23,f11,f35,f34,f4106,f25,f9,f24,f8,f45,f6085,f1427,f1646,f4111,f6389,f6390,f6397,f6398,f6399,f6400,f6402,f6403,f6404,f6084,f6406,f6410,f6419,f15,f6424,f6429,f6439]) ).
fof(f6437,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_11
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f6436]) ).
fof(f6436,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_11
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(global_subsumption,[],[f6435,f1,f2,f4,f3,f38,f6,f7,f19,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1426,f16,f32,f12,f20,f28,f29,f18,f4011,f5,f33,f17,f13,f4447,f4454,f21,f5874,f26,f30,f14,f22,f10,f31,f27,f23,f11,f35,f34,f4106,f25,f9,f24,f8,f45,f6085,f1427,f1646,f4111,f6389,f6390,f6397,f6398,f6399,f6400,f6402,f6403,f6404,f6084,f6406,f6410,f6419,f15,f6424,f6429]) ).
fof(f6435,plain,
( identity = sk_c1
| sk_c8 = inverse(sk_c7)
| ~ spl0_1
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14 ),
inference(forward_demodulation,[],[f6434,f4111]) ).
fof(f6431,plain,
( spl0_2
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f6430]) ).
fof(f6430,plain,
( $false
| spl0_2
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(global_subsumption,[],[f1,f2,f4,f3,f38,f6,f7,f19,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1426,f16,f32,f12,f20,f28,f29,f18,f4011,f5,f33,f17,f13,f4447,f4454,f21,f5874,f26,f30,f14,f22,f10,f31,f27,f23,f11,f35,f34,f4106,f25,f9,f24,f8,f45,f6085,f1427,f1646,f4111,f6389,f6390,f6397,f6398,f6399,f6400,f6402,f6403,f6404,f6084,f6406,f6410,f6419,f15,f6424,f6429]) ).
fof(f6426,plain,
( spl0_2
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f6425]) ).
fof(f6425,plain,
( $false
| spl0_2
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(global_subsumption,[],[f1,f2,f4,f3,f38,f6,f7,f19,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1426,f16,f32,f12,f20,f28,f29,f18,f4011,f5,f33,f17,f13,f4447,f4454,f21,f5874,f26,f30,f14,f22,f10,f31,f27,f23,f11,f35,f34,f4106,f25,f9,f24,f8,f45,f6085,f1427,f1646,f4111,f6389,f6390,f6397,f6398,f6399,f6400,f6402,f6403,f6404,f6084,f6406,f6410,f6419,f15,f6424]) ).
fof(f6423,plain,
( spl0_2
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f6422]) ).
fof(f6422,plain,
( $false
| spl0_2
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(global_subsumption,[],[f1,f2,f4,f3,f38,f6,f7,f19,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1426,f16,f32,f12,f20,f28,f29,f18,f4011,f5,f33,f17,f13,f4447,f4454,f21,f5874,f26,f30,f14,f22,f10,f31,f27,f23,f11,f35,f34,f4106,f25,f9,f24,f8,f45,f6085,f1427,f1646,f4111,f6389,f6390,f6397,f6398,f6399,f6400,f6402,f6403,f6404,f6084,f6406,f6410,f6419,f15]) ).
fof(f6421,plain,
( spl0_2
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f6420]) ).
fof(f6420,plain,
( $false
| spl0_2
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(global_subsumption,[],[f1,f2,f4,f3,f38,f6,f7,f19,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1426,f16,f32,f12,f20,f28,f29,f18,f4011,f5,f33,f17,f13,f4447,f4454,f21,f5874,f26,f30,f14,f22,f10,f31,f27,f23,f15,f11,f35,f34,f4106,f25,f9,f24,f8,f45,f6085,f1427,f1646,f4111,f6389,f6390,f6397,f6398,f6399,f6400,f6402,f6403,f6404,f6084,f6406,f6410,f6419]) ).
fof(f6418,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_11
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f6417]) ).
fof(f6417,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_11
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(global_subsumption,[],[f6416,f1,f2,f4,f3,f38,f6,f7,f19,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1426,f16,f32,f12,f20,f28,f29,f18,f4011,f5,f33,f17,f13,f4447,f4454,f21,f5874,f26,f30,f14,f22,f10,f31,f27,f23,f15,f11,f35,f34,f4106,f25,f9,f24,f8,f45,f6085,f1427,f1646,f4111,f6389,f6390,f6397,f6398,f6399,f6400,f6402,f6403,f6404,f6084,f6406,f6410]) ).
fof(f6416,plain,
( identity = sk_c1
| ~ spl0_1
| spl0_2
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14 ),
inference(forward_demodulation,[],[f6415,f4111]) ).
fof(f6412,plain,
( spl0_2
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f6411]) ).
fof(f6411,plain,
( $false
| spl0_2
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(global_subsumption,[],[f1,f2,f4,f3,f38,f6,f7,f19,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1426,f16,f32,f12,f20,f28,f29,f18,f4011,f5,f33,f17,f13,f4447,f4454,f21,f5874,f26,f30,f14,f22,f10,f31,f27,f23,f15,f11,f35,f34,f4106,f25,f9,f24,f8,f45,f6085,f1427,f1646,f4111,f6389,f6390,f6397,f6398,f6399,f6400,f6402,f6403,f6404,f6084,f6406,f6410]) ).
fof(f6376,plain,
( spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f6375]) ).
fof(f6375,plain,
( $false
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16 ),
inference(subsumption_resolution,[],[f6374,f416]) ).
fof(f6374,plain,
( identity != inverse(identity)
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16 ),
inference(forward_demodulation,[],[f6373,f6190]) ).
fof(f6190,plain,
( identity = sk_c3
| spl0_6
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16 ),
inference(forward_demodulation,[],[f6181,f416]) ).
fof(f6181,plain,
( sk_c3 = inverse(identity)
| spl0_6
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16 ),
inference(superposition,[],[f159,f6179]) ).
fof(f6179,plain,
( identity = sk_c2
| spl0_6
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16 ),
inference(forward_demodulation,[],[f5714,f6164]) ).
fof(f6164,plain,
( identity = sk_c1
| spl0_6
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f4937,f1646]) ).
fof(f4937,plain,
( sk_c1 = sk_c9
| spl0_6
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f4853,f4854]) ).
fof(f4854,plain,
( identity != inverse(sk_c7)
| spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[],[f154,f4107]) ).
fof(f4107,plain,
( identity = sk_c8
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f4105]) ).
fof(f154,plain,
( sk_c8 != inverse(sk_c7)
| spl0_6 ),
inference(avatar_component_clause,[],[f153]) ).
fof(f4853,plain,
( sk_c1 = sk_c9
| identity = inverse(sk_c7)
| ~ spl0_13 ),
inference(forward_demodulation,[],[f4852,f443]) ).
fof(f4852,plain,
( sk_c9 = multiply(sk_c1,identity)
| identity = inverse(sk_c7)
| ~ spl0_13 ),
inference(forward_demodulation,[],[f4851,f4107]) ).
fof(f4851,plain,
( identity = inverse(sk_c7)
| sk_c9 = multiply(sk_c1,sk_c8)
| ~ spl0_13 ),
inference(forward_demodulation,[],[f11,f4107]) ).
fof(f5714,plain,
( sk_c1 = sk_c2
| ~ spl0_7
| ~ spl0_13
| ~ spl0_16 ),
inference(forward_demodulation,[],[f5713,f443]) ).
fof(f5713,plain,
( sk_c2 = multiply(sk_c1,identity)
| ~ spl0_7
| ~ spl0_13
| ~ spl0_16 ),
inference(forward_demodulation,[],[f5702,f416]) ).
fof(f5702,plain,
( sk_c2 = multiply(sk_c1,inverse(identity))
| ~ spl0_7
| ~ spl0_13
| ~ spl0_16 ),
inference(superposition,[],[f5012,f5697]) ).
fof(f5697,plain,
( identity = multiply(sk_c3,sk_c1)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f5695]) ).
fof(f5695,plain,
( spl0_16
<=> identity = multiply(sk_c3,sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f5012,plain,
( ! [X0] : sk_c2 = multiply(X0,inverse(multiply(sk_c3,X0)))
| ~ spl0_7
| ~ spl0_13 ),
inference(forward_demodulation,[],[f4999,f443]) ).
fof(f4999,plain,
( ! [X0] : multiply(X0,inverse(multiply(sk_c3,X0))) = multiply(sk_c2,identity)
| ~ spl0_7
| ~ spl0_13 ),
inference(superposition,[],[f4901,f539]) ).
fof(f4901,plain,
( ! [X0] : multiply(sk_c2,multiply(sk_c3,X0)) = X0
| ~ spl0_7
| ~ spl0_13 ),
inference(forward_demodulation,[],[f4892,f1]) ).
fof(f4892,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c2,multiply(sk_c3,X0))
| ~ spl0_7
| ~ spl0_13 ),
inference(superposition,[],[f3,f4828]) ).
fof(f4828,plain,
( identity = multiply(sk_c2,sk_c3)
| ~ spl0_7
| ~ spl0_13 ),
inference(global_subsumption,[],[f4827,f1,f2,f4,f3,f38,f31,f27,f23,f15,f11,f6,f35,f7,f19,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1426,f16,f32,f8,f12,f20,f24,f28,f30,f29,f26,f25,f22,f14,f10,f34,f18,f1461,f1462,f1471,f1467,f1469,f1470,f1503,f1504,f1516,f1508,f1509,f1511,f1513,f1514,f1459,f1532,f1464,f1581,f1460,f1600,f1601,f1465,f1761,f1762,f1468,f1792,f1793,f1796,f1800,f1801,f1802,f1803,f1512,f1822,f1823,f1826,f1830,f1831,f1832,f1833,f1606,f1868,f1904,f1874,f1891,f1895,f1767,f1939,f1980,f1946,f1964,f1968,f1884,f2051,f2038,f2052,f2053,f2054,f2043,f2055,f2045,f2046,f2047,f1903,f2066,f2074,f2078,f2081,f1958,f2107,f2122,f2126,f2112,f2127,f2128,f2116,f2117,f2118,f1976,f2146,f2154,f2158,f2161,f1595,f2253,f2297,f2265,f2298,f2299,f2300,f2270,f2301,f2272,f2273,f2274,f1596,f2343,f2344,f2349,f2381,f2331,f2382,f2383,f2384,f2336,f2385,f2338,f2339,f2340,f1756,f2411,f2456,f2423,f2457,f2458,f2459,f2428,f2460,f2430,f2431,f2432,f2461,f1757,f2506,f2507,f2508,f2509,f2510,f2546,f2493,f2547,f2548,f2549,f2498,f2550,f2500,f2501,f2502,f2551,f1890,f2575,f2612,f2616,f2580,f2617,f2618,f2584,f2585,f2586,f2623,f1894,f2671,f2675,f2678,f2679,f2680,f2653,f2710,f2714,f2658,f2715,f2716,f2662,f2663,f2664,f2720,f1963,f2744,f2782,f2786,f2749,f2787,f2788,f2753,f2754,f2755,f2789,f2794,f1967,f2847,f2850,f2854,f2855,f2856,f2859,f2860,f2830,f2890,f2894,f2835,f2895,f2896,f2839,f2840,f2841,f2897,f2901,f2036,f2933,f2041,f2954,f2263,f3010,f3015,f3020,f3021,f3022,f3027,f3028,f2975,f2999,f3093,f2268,f3106,f3157,f3162,f3167,f3168,f3169,f3174,f3175,f3118,f3217,f2329,f3298,f3299,f3300,f3301,f3314,f3315,f3316,f3358,f2334,f3405,f3406,f3407,f3408,f3421,f3422,f3423,f3486,f2421,f3538,f3543,f3548,f3549,f3550,f3551,f3552,f3499,f3523,f3617,f2426,f3630,f3685,f3690,f3695,f3696,f3697,f3698,f3699,f3642,f3741,f2491,f3812,f3813,f3814,f3815,f3816,f3817,f3818,f3872,f2496,f3919,f3920,f3921,f3922,f3923,f3924,f3925,f4000,f5,f33,f17,f4534,f13,f9,f21,f1427,f159,f4600,f4601,f4602,f4603,f4612,f4605,f4606,f4607,f4608,f4609,f4610,f4611,f1466,f4643,f4644,f4656,f4648,f4649,f4651,f4652,f4653,f4654]) ).
fof(f4654,plain,
( ! [X0] : sk_c3 = multiply(inverse(multiply(X0,sk_c2)),X0)
| ~ spl0_7 ),
inference(superposition,[],[f1165,f1466]) ).
fof(f4653,plain,
( ! [X0] : multiply(multiply(X0,sk_c2),sk_c3) = X0
| ~ spl0_7 ),
inference(superposition,[],[f986,f1466]) ).
fof(f4652,plain,
( ! [X0] : multiply(multiply(X0,sk_c3),sk_c2) = X0
| ~ spl0_7 ),
inference(superposition,[],[f898,f1466]) ).
fof(f4651,plain,
( ! [X0] : sk_c3 = multiply(X0,inverse(multiply(sk_c2,X0)))
| ~ spl0_7 ),
inference(superposition,[],[f812,f1466]) ).
fof(f4649,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c2,X0)) = X0
| ~ spl0_7 ),
inference(superposition,[],[f444,f1466]) ).
fof(f4648,plain,
( identity = multiply(sk_c3,sk_c2)
| ~ spl0_7 ),
inference(superposition,[],[f442,f1466]) ).
fof(f4656,plain,
( identity = multiply(sk_c2,sk_c3)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f4647,f469]) ).
fof(f4647,plain,
( identity = multiply(inverse(inverse(sk_c2)),sk_c3)
| ~ spl0_7 ),
inference(superposition,[],[f401,f1466]) ).
fof(f4644,plain,
( ! [X0] : multiply(sk_c2,multiply(sk_c3,X0)) = X0
| ~ spl0_7 ),
inference(superposition,[],[f60,f1466]) ).
fof(f4643,plain,
( identity = multiply(sk_c2,sk_c3)
| ~ spl0_7 ),
inference(superposition,[],[f2,f1466]) ).
fof(f1466,plain,
( sk_c2 = inverse(sk_c3)
| ~ spl0_7 ),
inference(superposition,[],[f469,f159]) ).
fof(f4611,plain,
( ! [X0] : sk_c2 = multiply(inverse(multiply(X0,sk_c3)),X0)
| ~ spl0_7 ),
inference(superposition,[],[f1165,f159]) ).
fof(f4610,plain,
( ! [X0] : multiply(multiply(X0,sk_c3),sk_c2) = X0
| ~ spl0_7 ),
inference(superposition,[],[f986,f159]) ).
fof(f4609,plain,
( ! [X0] : multiply(multiply(X0,sk_c2),sk_c3) = X0
| ~ spl0_7 ),
inference(superposition,[],[f898,f159]) ).
fof(f4608,plain,
( ! [X0] : sk_c2 = multiply(X0,inverse(multiply(sk_c3,X0)))
| ~ spl0_7 ),
inference(superposition,[],[f812,f159]) ).
fof(f4607,plain,
( sk_c2 = inverse(sk_c3)
| ~ spl0_7 ),
inference(superposition,[],[f469,f159]) ).
fof(f4606,plain,
( ! [X0] : multiply(sk_c2,multiply(sk_c3,X0)) = X0
| ~ spl0_7 ),
inference(superposition,[],[f444,f159]) ).
fof(f4605,plain,
( identity = multiply(sk_c2,sk_c3)
| ~ spl0_7 ),
inference(superposition,[],[f442,f159]) ).
fof(f4612,plain,
( identity = multiply(sk_c3,sk_c2)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f4604,f469]) ).
fof(f4604,plain,
( identity = multiply(inverse(inverse(sk_c3)),sk_c2)
| ~ spl0_7 ),
inference(superposition,[],[f401,f159]) ).
fof(f4603,plain,
( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(sk_c3),X0)
| ~ spl0_7 ),
inference(superposition,[],[f293,f159]) ).
fof(f4602,plain,
( sk_c2 = multiply(inverse(sk_c3),identity)
| ~ spl0_7 ),
inference(superposition,[],[f283,f159]) ).
fof(f4601,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c2,X0)) = X0
| ~ spl0_7 ),
inference(superposition,[],[f60,f159]) ).
fof(f4600,plain,
( identity = multiply(sk_c3,sk_c2)
| ~ spl0_7 ),
inference(superposition,[],[f2,f159]) ).
fof(f4534,plain,
( sk_c3 = inverse(sk_c2)
| ~ spl0_7 ),
inference(global_subsumption,[],[f1,f2,f4,f3,f38,f31,f27,f23,f15,f11,f6,f35,f7,f19,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1426,f1427,f16,f32,f8,f12,f20,f24,f28,f30,f29,f26,f25,f22,f14,f10,f34,f18,f159,f1461,f1462,f1471,f1467,f1469,f1470,f1466,f1503,f1504,f1516,f1508,f1509,f1511,f1513,f1514,f1459,f1532,f1464,f1581,f1460,f1600,f1601,f1465,f1761,f1762,f1468,f1792,f1793,f1796,f1800,f1801,f1802,f1803,f1512,f1822,f1823,f1826,f1830,f1831,f1832,f1833,f1606,f1868,f1904,f1874,f1891,f1895,f1767,f1939,f1980,f1946,f1964,f1968,f1884,f2051,f2038,f2052,f2053,f2054,f2043,f2055,f2045,f2046,f2047,f1903,f2066,f2074,f2078,f2081,f1958,f2107,f2122,f2126,f2112,f2127,f2128,f2116,f2117,f2118,f1976,f2146,f2154,f2158,f2161,f1595,f2253,f2297,f2265,f2298,f2299,f2300,f2270,f2301,f2272,f2273,f2274,f1596,f2343,f2344,f2349,f2381,f2331,f2382,f2383,f2384,f2336,f2385,f2338,f2339,f2340,f1756,f2411,f2456,f2423,f2457,f2458,f2459,f2428,f2460,f2430,f2431,f2432,f2461,f1757,f2506,f2507,f2508,f2509,f2510,f2546,f2493,f2547,f2548,f2549,f2498,f2550,f2500,f2501,f2502,f2551,f1890,f2575,f2612,f2616,f2580,f2617,f2618,f2584,f2585,f2586,f2623,f1894,f2671,f2675,f2678,f2679,f2680,f2653,f2710,f2714,f2658,f2715,f2716,f2662,f2663,f2664,f2720,f1963,f2744,f2782,f2786,f2749,f2787,f2788,f2753,f2754,f2755,f2789,f2794,f1967,f2847,f2850,f2854,f2855,f2856,f2859,f2860,f2830,f2890,f2894,f2835,f2895,f2896,f2839,f2840,f2841,f2897,f2901,f2036,f2933,f2041,f2954,f2263,f3010,f3015,f3020,f3021,f3022,f3027,f3028,f2975,f2999,f3093,f2268,f3106,f3157,f3162,f3167,f3168,f3169,f3174,f3175,f3118,f3217,f2329,f3298,f3299,f3300,f3301,f3314,f3315,f3316,f3358,f2334,f3405,f3406,f3407,f3408,f3421,f3422,f3423,f3486,f2421,f3538,f3543,f3548,f3549,f3550,f3551,f3552,f3499,f3523,f3617,f2426,f3630,f3685,f3690,f3695,f3696,f3697,f3698,f3699,f3642,f3741,f2491,f3812,f3813,f3814,f3815,f3816,f3817,f3818,f3872,f2496,f3919,f3920,f3921,f3922,f3923,f3924,f3925,f4000,f5,f33,f21,f9,f13,f17]) ).
fof(f4000,plain,
( ! [X0,X1] : multiply(multiply(inverse(X0),sk_c3),multiply(sk_c2,multiply(X0,X1))) = X1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3999,f1]) ).
fof(f3999,plain,
( ! [X0,X1] : multiply(identity,X1) = multiply(multiply(inverse(X0),sk_c3),multiply(sk_c2,multiply(X0,X1)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3916,f3]) ).
fof(f3916,plain,
( ! [X0,X1] : multiply(identity,X1) = multiply(multiply(inverse(X0),sk_c3),multiply(multiply(sk_c2,X0),X1))
| ~ spl0_7 ),
inference(superposition,[],[f3,f2496]) ).
fof(f3925,plain,
( ! [X0] : identity = multiply(multiply(X0,multiply(sk_c3,sk_c3)),multiply(sk_c2,multiply(sk_c2,inverse(X0))))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3881,f3]) ).
fof(f3881,plain,
( ! [X0] : identity = multiply(multiply(multiply(X0,sk_c3),sk_c3),multiply(sk_c2,multiply(sk_c2,inverse(X0))))
| ~ spl0_7 ),
inference(superposition,[],[f2496,f1894]) ).
fof(f3924,plain,
( ! [X0] : identity = multiply(multiply(inverse(X0),multiply(sk_c3,sk_c3)),multiply(sk_c2,multiply(sk_c2,X0)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3880,f3]) ).
fof(f3880,plain,
( ! [X0] : identity = multiply(multiply(multiply(inverse(X0),sk_c3),sk_c3),multiply(sk_c2,multiply(sk_c2,X0)))
| ~ spl0_7 ),
inference(superposition,[],[f2496,f1890]) ).
fof(f3923,plain,
( identity = multiply(multiply(sk_c3,multiply(sk_c3,sk_c3)),multiply(sk_c2,multiply(sk_c2,sk_c2)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3879,f3]) ).
fof(f3879,plain,
( identity = multiply(multiply(multiply(sk_c3,sk_c3),sk_c3),multiply(sk_c2,multiply(sk_c2,sk_c2)))
| ~ spl0_7 ),
inference(superposition,[],[f2496,f1884]) ).
fof(f3922,plain,
( ! [X0] : identity = multiply(multiply(sk_c2,multiply(X0,sk_c3)),multiply(sk_c2,multiply(inverse(X0),sk_c3)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3878,f3]) ).
fof(f3878,plain,
( ! [X0] : identity = multiply(multiply(multiply(sk_c2,X0),sk_c3),multiply(sk_c2,multiply(inverse(X0),sk_c3)))
| ~ spl0_7 ),
inference(superposition,[],[f2496,f1757]) ).
fof(f3921,plain,
( ! [X0] : identity = multiply(multiply(sk_c3,multiply(X0,sk_c3)),multiply(sk_c2,multiply(inverse(X0),sk_c2)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3877,f3]) ).
fof(f3877,plain,
( ! [X0] : identity = multiply(multiply(multiply(sk_c3,X0),sk_c3),multiply(sk_c2,multiply(inverse(X0),sk_c2)))
| ~ spl0_7 ),
inference(superposition,[],[f2496,f1596]) ).
fof(f3920,plain,
( ! [X0] : identity = multiply(multiply(sk_c2,multiply(inverse(X0),sk_c3)),multiply(sk_c2,multiply(X0,sk_c3)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3876,f3]) ).
fof(f3876,plain,
( ! [X0] : identity = multiply(multiply(multiply(sk_c2,inverse(X0)),sk_c3),multiply(sk_c2,multiply(X0,sk_c3)))
| ~ spl0_7 ),
inference(superposition,[],[f2496,f1756]) ).
fof(f3919,plain,
( ! [X0] : identity = multiply(multiply(sk_c3,multiply(inverse(X0),sk_c3)),multiply(sk_c2,multiply(X0,sk_c2)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3875,f3]) ).
fof(f3875,plain,
( ! [X0] : identity = multiply(multiply(multiply(sk_c3,inverse(X0)),sk_c3),multiply(sk_c2,multiply(X0,sk_c2)))
| ~ spl0_7 ),
inference(superposition,[],[f2496,f1595]) ).
fof(f2496,plain,
( ! [X0] : identity = multiply(multiply(inverse(X0),sk_c3),multiply(sk_c2,X0))
| ~ spl0_7 ),
inference(superposition,[],[f442,f1757]) ).
fof(f3872,plain,
( ! [X0,X1] : multiply(multiply(sk_c2,X0),multiply(inverse(X0),multiply(sk_c3,X1))) = X1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3871,f1]) ).
fof(f3871,plain,
( ! [X0,X1] : multiply(identity,X1) = multiply(multiply(sk_c2,X0),multiply(inverse(X0),multiply(sk_c3,X1)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3785,f3]) ).
fof(f3785,plain,
( ! [X0,X1] : multiply(identity,X1) = multiply(multiply(sk_c2,X0),multiply(multiply(inverse(X0),sk_c3),X1))
| ~ spl0_7 ),
inference(superposition,[],[f3,f2491]) ).
fof(f3818,plain,
( ! [X0] : identity = multiply(multiply(sk_c2,multiply(sk_c2,inverse(X0))),multiply(X0,multiply(sk_c3,sk_c3)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3760,f3]) ).
fof(f3760,plain,
( ! [X0] : identity = multiply(multiply(sk_c2,multiply(sk_c2,inverse(X0))),multiply(multiply(X0,sk_c3),sk_c3))
| ~ spl0_7 ),
inference(superposition,[],[f2491,f1894]) ).
fof(f3817,plain,
( ! [X0] : identity = multiply(multiply(sk_c2,multiply(sk_c2,X0)),multiply(inverse(X0),multiply(sk_c3,sk_c3)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3759,f3]) ).
fof(f3759,plain,
( ! [X0] : identity = multiply(multiply(sk_c2,multiply(sk_c2,X0)),multiply(multiply(inverse(X0),sk_c3),sk_c3))
| ~ spl0_7 ),
inference(superposition,[],[f2491,f1890]) ).
fof(f3816,plain,
( identity = multiply(multiply(sk_c2,multiply(sk_c2,sk_c2)),multiply(sk_c3,multiply(sk_c3,sk_c3)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3758,f3]) ).
fof(f3758,plain,
( identity = multiply(multiply(sk_c2,multiply(sk_c2,sk_c2)),multiply(multiply(sk_c3,sk_c3),sk_c3))
| ~ spl0_7 ),
inference(superposition,[],[f2491,f1884]) ).
fof(f3815,plain,
( ! [X0] : identity = multiply(multiply(sk_c2,multiply(inverse(X0),sk_c3)),multiply(sk_c2,multiply(X0,sk_c3)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3757,f3]) ).
fof(f3757,plain,
( ! [X0] : identity = multiply(multiply(sk_c2,multiply(inverse(X0),sk_c3)),multiply(multiply(sk_c2,X0),sk_c3))
| ~ spl0_7 ),
inference(superposition,[],[f2491,f1757]) ).
fof(f3814,plain,
( ! [X0] : identity = multiply(multiply(sk_c2,multiply(inverse(X0),sk_c2)),multiply(sk_c3,multiply(X0,sk_c3)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3756,f3]) ).
fof(f3756,plain,
( ! [X0] : identity = multiply(multiply(sk_c2,multiply(inverse(X0),sk_c2)),multiply(multiply(sk_c3,X0),sk_c3))
| ~ spl0_7 ),
inference(superposition,[],[f2491,f1596]) ).
fof(f3813,plain,
( ! [X0] : identity = multiply(multiply(sk_c2,multiply(X0,sk_c3)),multiply(sk_c2,multiply(inverse(X0),sk_c3)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3755,f3]) ).
fof(f3755,plain,
( ! [X0] : identity = multiply(multiply(sk_c2,multiply(X0,sk_c3)),multiply(multiply(sk_c2,inverse(X0)),sk_c3))
| ~ spl0_7 ),
inference(superposition,[],[f2491,f1756]) ).
fof(f3812,plain,
( ! [X0] : identity = multiply(multiply(sk_c2,multiply(X0,sk_c2)),multiply(sk_c3,multiply(inverse(X0),sk_c3)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3754,f3]) ).
fof(f3754,plain,
( ! [X0] : identity = multiply(multiply(sk_c2,multiply(X0,sk_c2)),multiply(multiply(sk_c3,inverse(X0)),sk_c3))
| ~ spl0_7 ),
inference(superposition,[],[f2491,f1595]) ).
fof(f2491,plain,
( ! [X0] : identity = multiply(multiply(sk_c2,X0),multiply(inverse(X0),sk_c3))
| ~ spl0_7 ),
inference(superposition,[],[f2,f1757]) ).
fof(f3741,plain,
( ! [X0,X1] : multiply(multiply(X0,sk_c3),multiply(sk_c2,multiply(inverse(X0),X1))) = X1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3740,f1]) ).
fof(f3740,plain,
( ! [X0,X1] : multiply(identity,X1) = multiply(multiply(X0,sk_c3),multiply(sk_c2,multiply(inverse(X0),X1)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3661,f3]) ).
fof(f3661,plain,
( ! [X0,X1] : multiply(identity,X1) = multiply(multiply(X0,sk_c3),multiply(multiply(sk_c2,inverse(X0)),X1))
| ~ spl0_7 ),
inference(superposition,[],[f3,f2426]) ).
fof(f3642,plain,
( ! [X0] : identity = multiply(multiply(inverse(X0),sk_c3),multiply(sk_c2,X0))
| ~ spl0_7 ),
inference(superposition,[],[f2426,f469]) ).
fof(f3699,plain,
( ! [X0] : identity = multiply(multiply(sk_c3,multiply(inverse(X0),sk_c3)),multiply(sk_c2,multiply(X0,sk_c2)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3641,f3]) ).
fof(f3641,plain,
( ! [X0] : identity = multiply(multiply(multiply(sk_c3,inverse(X0)),sk_c3),multiply(sk_c2,multiply(X0,sk_c2)))
| ~ spl0_7 ),
inference(superposition,[],[f2426,f1967]) ).
fof(f3698,plain,
( ! [X0] : identity = multiply(multiply(sk_c3,multiply(X0,sk_c3)),multiply(sk_c2,multiply(inverse(X0),sk_c2)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3640,f3]) ).
fof(f3640,plain,
( ! [X0] : identity = multiply(multiply(multiply(sk_c3,X0),sk_c3),multiply(sk_c2,multiply(inverse(X0),sk_c2)))
| ~ spl0_7 ),
inference(superposition,[],[f2426,f1963]) ).
fof(f3697,plain,
( identity = multiply(multiply(sk_c3,multiply(sk_c3,sk_c3)),multiply(sk_c2,multiply(sk_c2,sk_c2)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3639,f3]) ).
fof(f3639,plain,
( identity = multiply(multiply(multiply(sk_c3,sk_c3),sk_c3),multiply(sk_c2,multiply(sk_c2,sk_c2)))
| ~ spl0_7 ),
inference(superposition,[],[f2426,f1958]) ).
fof(f3696,plain,
( ! [X0] : identity = multiply(multiply(sk_c2,multiply(inverse(X0),sk_c3)),multiply(sk_c2,multiply(X0,sk_c3)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3638,f3]) ).
fof(f3638,plain,
( ! [X0] : identity = multiply(multiply(multiply(sk_c2,inverse(X0)),sk_c3),multiply(sk_c2,multiply(X0,sk_c3)))
| ~ spl0_7 ),
inference(superposition,[],[f2426,f1894]) ).
fof(f3695,plain,
( ! [X0] : identity = multiply(multiply(sk_c2,multiply(X0,sk_c3)),multiply(sk_c2,multiply(inverse(X0),sk_c3)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3637,f3]) ).
fof(f3637,plain,
( ! [X0] : identity = multiply(multiply(multiply(sk_c2,X0),sk_c3),multiply(sk_c2,multiply(inverse(X0),sk_c3)))
| ~ spl0_7 ),
inference(superposition,[],[f2426,f1890]) ).
fof(f3690,plain,
( ! [X0] : identity = multiply(multiply(inverse(X0),multiply(sk_c3,sk_c3)),multiply(sk_c2,multiply(sk_c2,X0)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3635,f3]) ).
fof(f3635,plain,
( ! [X0] : identity = multiply(multiply(multiply(inverse(X0),sk_c3),sk_c3),multiply(sk_c2,multiply(sk_c2,X0)))
| ~ spl0_7 ),
inference(superposition,[],[f2426,f1757]) ).
fof(f3685,plain,
( ! [X0] : identity = multiply(multiply(X0,multiply(sk_c3,sk_c3)),multiply(sk_c2,multiply(sk_c2,inverse(X0))))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3633,f3]) ).
fof(f3633,plain,
( ! [X0] : identity = multiply(multiply(multiply(X0,sk_c3),sk_c3),multiply(sk_c2,multiply(sk_c2,inverse(X0))))
| ~ spl0_7 ),
inference(superposition,[],[f2426,f1756]) ).
fof(f3630,plain,
( ! [X0,X1] : identity = multiply(multiply(X0,multiply(X1,sk_c3)),multiply(sk_c2,inverse(multiply(X0,X1))))
| ~ spl0_7 ),
inference(superposition,[],[f2426,f3]) ).
fof(f2426,plain,
( ! [X0] : identity = multiply(multiply(X0,sk_c3),multiply(sk_c2,inverse(X0)))
| ~ spl0_7 ),
inference(superposition,[],[f442,f1756]) ).
fof(f3617,plain,
( ! [X0,X1] : multiply(multiply(sk_c2,inverse(X0)),multiply(X0,multiply(sk_c3,X1))) = X1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3616,f1]) ).
fof(f3616,plain,
( ! [X0,X1] : multiply(identity,X1) = multiply(multiply(sk_c2,inverse(X0)),multiply(X0,multiply(sk_c3,X1)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3530,f3]) ).
fof(f3530,plain,
( ! [X0,X1] : multiply(identity,X1) = multiply(multiply(sk_c2,inverse(X0)),multiply(multiply(X0,sk_c3),X1))
| ~ spl0_7 ),
inference(superposition,[],[f3,f2421]) ).
fof(f3523,plain,
( ! [X0,X1] : identity = multiply(multiply(sk_c2,inverse(multiply(X0,X1))),multiply(X0,multiply(X1,sk_c3)))
| ~ spl0_7 ),
inference(superposition,[],[f2421,f3]) ).
fof(f3499,plain,
( ! [X0] : identity = multiply(multiply(sk_c2,X0),multiply(inverse(X0),sk_c3))
| ~ spl0_7 ),
inference(superposition,[],[f2421,f469]) ).
fof(f3552,plain,
( ! [X0] : identity = multiply(multiply(sk_c2,multiply(X0,sk_c2)),multiply(sk_c3,multiply(inverse(X0),sk_c3)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3498,f3]) ).
fof(f3498,plain,
( ! [X0] : identity = multiply(multiply(sk_c2,multiply(X0,sk_c2)),multiply(multiply(sk_c3,inverse(X0)),sk_c3))
| ~ spl0_7 ),
inference(superposition,[],[f2421,f1967]) ).
fof(f3551,plain,
( ! [X0] : identity = multiply(multiply(sk_c2,multiply(inverse(X0),sk_c2)),multiply(sk_c3,multiply(X0,sk_c3)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3497,f3]) ).
fof(f3497,plain,
( ! [X0] : identity = multiply(multiply(sk_c2,multiply(inverse(X0),sk_c2)),multiply(multiply(sk_c3,X0),sk_c3))
| ~ spl0_7 ),
inference(superposition,[],[f2421,f1963]) ).
fof(f3550,plain,
( identity = multiply(multiply(sk_c2,multiply(sk_c2,sk_c2)),multiply(sk_c3,multiply(sk_c3,sk_c3)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3496,f3]) ).
fof(f3496,plain,
( identity = multiply(multiply(sk_c2,multiply(sk_c2,sk_c2)),multiply(multiply(sk_c3,sk_c3),sk_c3))
| ~ spl0_7 ),
inference(superposition,[],[f2421,f1958]) ).
fof(f3549,plain,
( ! [X0] : identity = multiply(multiply(sk_c2,multiply(X0,sk_c3)),multiply(sk_c2,multiply(inverse(X0),sk_c3)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3495,f3]) ).
fof(f3495,plain,
( ! [X0] : identity = multiply(multiply(sk_c2,multiply(X0,sk_c3)),multiply(multiply(sk_c2,inverse(X0)),sk_c3))
| ~ spl0_7 ),
inference(superposition,[],[f2421,f1894]) ).
fof(f3548,plain,
( ! [X0] : identity = multiply(multiply(sk_c2,multiply(inverse(X0),sk_c3)),multiply(sk_c2,multiply(X0,sk_c3)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3494,f3]) ).
fof(f3494,plain,
( ! [X0] : identity = multiply(multiply(sk_c2,multiply(inverse(X0),sk_c3)),multiply(multiply(sk_c2,X0),sk_c3))
| ~ spl0_7 ),
inference(superposition,[],[f2421,f1890]) ).
fof(f3543,plain,
( ! [X0] : identity = multiply(multiply(sk_c2,multiply(sk_c2,X0)),multiply(inverse(X0),multiply(sk_c3,sk_c3)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3492,f3]) ).
fof(f3492,plain,
( ! [X0] : identity = multiply(multiply(sk_c2,multiply(sk_c2,X0)),multiply(multiply(inverse(X0),sk_c3),sk_c3))
| ~ spl0_7 ),
inference(superposition,[],[f2421,f1757]) ).
fof(f3538,plain,
( ! [X0] : identity = multiply(multiply(sk_c2,multiply(sk_c2,inverse(X0))),multiply(X0,multiply(sk_c3,sk_c3)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3490,f3]) ).
fof(f3490,plain,
( ! [X0] : identity = multiply(multiply(sk_c2,multiply(sk_c2,inverse(X0))),multiply(multiply(X0,sk_c3),sk_c3))
| ~ spl0_7 ),
inference(superposition,[],[f2421,f1756]) ).
fof(f2421,plain,
( ! [X0] : identity = multiply(multiply(sk_c2,inverse(X0)),multiply(X0,sk_c3))
| ~ spl0_7 ),
inference(superposition,[],[f2,f1756]) ).
fof(f3486,plain,
( ! [X0,X1] : multiply(multiply(inverse(X0),sk_c2),multiply(sk_c3,multiply(X0,X1))) = X1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3485,f1]) ).
fof(f3485,plain,
( ! [X0,X1] : multiply(identity,X1) = multiply(multiply(inverse(X0),sk_c2),multiply(sk_c3,multiply(X0,X1)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3402,f3]) ).
fof(f3402,plain,
( ! [X0,X1] : multiply(identity,X1) = multiply(multiply(inverse(X0),sk_c2),multiply(multiply(sk_c3,X0),X1))
| ~ spl0_7 ),
inference(superposition,[],[f3,f2334]) ).
fof(f3423,plain,
( ! [X0] : identity = multiply(multiply(X0,multiply(sk_c2,sk_c2)),multiply(sk_c3,multiply(sk_c3,inverse(X0))))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3370,f3]) ).
fof(f3370,plain,
( ! [X0] : identity = multiply(multiply(multiply(X0,sk_c2),sk_c2),multiply(sk_c3,multiply(sk_c3,inverse(X0))))
| ~ spl0_7 ),
inference(superposition,[],[f2334,f1967]) ).
fof(f3422,plain,
( ! [X0] : identity = multiply(multiply(inverse(X0),multiply(sk_c2,sk_c2)),multiply(sk_c3,multiply(sk_c3,X0)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3369,f3]) ).
fof(f3369,plain,
( ! [X0] : identity = multiply(multiply(multiply(inverse(X0),sk_c2),sk_c2),multiply(sk_c3,multiply(sk_c3,X0)))
| ~ spl0_7 ),
inference(superposition,[],[f2334,f1963]) ).
fof(f3421,plain,
( identity = multiply(multiply(sk_c2,multiply(sk_c2,sk_c2)),multiply(sk_c3,multiply(sk_c3,sk_c3)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3368,f3]) ).
fof(f3368,plain,
( identity = multiply(multiply(multiply(sk_c2,sk_c2),sk_c2),multiply(sk_c3,multiply(sk_c3,sk_c3)))
| ~ spl0_7 ),
inference(superposition,[],[f2334,f1958]) ).
fof(f3408,plain,
( ! [X0] : identity = multiply(multiply(sk_c2,multiply(X0,sk_c2)),multiply(sk_c3,multiply(inverse(X0),sk_c3)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3364,f3]) ).
fof(f3364,plain,
( ! [X0] : identity = multiply(multiply(multiply(sk_c2,X0),sk_c2),multiply(sk_c3,multiply(inverse(X0),sk_c3)))
| ~ spl0_7 ),
inference(superposition,[],[f2334,f1757]) ).
fof(f3407,plain,
( ! [X0] : identity = multiply(multiply(sk_c3,multiply(X0,sk_c2)),multiply(sk_c3,multiply(inverse(X0),sk_c2)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3363,f3]) ).
fof(f3363,plain,
( ! [X0] : identity = multiply(multiply(multiply(sk_c3,X0),sk_c2),multiply(sk_c3,multiply(inverse(X0),sk_c2)))
| ~ spl0_7 ),
inference(superposition,[],[f2334,f1596]) ).
fof(f3406,plain,
( ! [X0] : identity = multiply(multiply(sk_c2,multiply(inverse(X0),sk_c2)),multiply(sk_c3,multiply(X0,sk_c3)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3362,f3]) ).
fof(f3362,plain,
( ! [X0] : identity = multiply(multiply(multiply(sk_c2,inverse(X0)),sk_c2),multiply(sk_c3,multiply(X0,sk_c3)))
| ~ spl0_7 ),
inference(superposition,[],[f2334,f1756]) ).
fof(f3405,plain,
( ! [X0] : identity = multiply(multiply(sk_c3,multiply(inverse(X0),sk_c2)),multiply(sk_c3,multiply(X0,sk_c2)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3361,f3]) ).
fof(f3361,plain,
( ! [X0] : identity = multiply(multiply(multiply(sk_c3,inverse(X0)),sk_c2),multiply(sk_c3,multiply(X0,sk_c2)))
| ~ spl0_7 ),
inference(superposition,[],[f2334,f1595]) ).
fof(f2334,plain,
( ! [X0] : identity = multiply(multiply(inverse(X0),sk_c2),multiply(sk_c3,X0))
| ~ spl0_7 ),
inference(superposition,[],[f442,f1596]) ).
fof(f3358,plain,
( ! [X0,X1] : multiply(multiply(sk_c3,X0),multiply(inverse(X0),multiply(sk_c2,X1))) = X1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3357,f1]) ).
fof(f3357,plain,
( ! [X0,X1] : multiply(identity,X1) = multiply(multiply(sk_c3,X0),multiply(inverse(X0),multiply(sk_c2,X1)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3271,f3]) ).
fof(f3271,plain,
( ! [X0,X1] : multiply(identity,X1) = multiply(multiply(sk_c3,X0),multiply(multiply(inverse(X0),sk_c2),X1))
| ~ spl0_7 ),
inference(superposition,[],[f3,f2329]) ).
fof(f3316,plain,
( ! [X0] : identity = multiply(multiply(sk_c3,multiply(sk_c3,inverse(X0))),multiply(X0,multiply(sk_c2,sk_c2)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3249,f3]) ).
fof(f3249,plain,
( ! [X0] : identity = multiply(multiply(sk_c3,multiply(sk_c3,inverse(X0))),multiply(multiply(X0,sk_c2),sk_c2))
| ~ spl0_7 ),
inference(superposition,[],[f2329,f1967]) ).
fof(f3315,plain,
( ! [X0] : identity = multiply(multiply(sk_c3,multiply(sk_c3,X0)),multiply(inverse(X0),multiply(sk_c2,sk_c2)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3248,f3]) ).
fof(f3248,plain,
( ! [X0] : identity = multiply(multiply(sk_c3,multiply(sk_c3,X0)),multiply(multiply(inverse(X0),sk_c2),sk_c2))
| ~ spl0_7 ),
inference(superposition,[],[f2329,f1963]) ).
fof(f3314,plain,
( identity = multiply(multiply(sk_c3,multiply(sk_c3,sk_c3)),multiply(sk_c2,multiply(sk_c2,sk_c2)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3247,f3]) ).
fof(f3247,plain,
( identity = multiply(multiply(sk_c3,multiply(sk_c3,sk_c3)),multiply(multiply(sk_c2,sk_c2),sk_c2))
| ~ spl0_7 ),
inference(superposition,[],[f2329,f1958]) ).
fof(f3301,plain,
( ! [X0] : identity = multiply(multiply(sk_c3,multiply(inverse(X0),sk_c3)),multiply(sk_c2,multiply(X0,sk_c2)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3243,f3]) ).
fof(f3243,plain,
( ! [X0] : identity = multiply(multiply(sk_c3,multiply(inverse(X0),sk_c3)),multiply(multiply(sk_c2,X0),sk_c2))
| ~ spl0_7 ),
inference(superposition,[],[f2329,f1757]) ).
fof(f3300,plain,
( ! [X0] : identity = multiply(multiply(sk_c3,multiply(inverse(X0),sk_c2)),multiply(sk_c3,multiply(X0,sk_c2)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3242,f3]) ).
fof(f3242,plain,
( ! [X0] : identity = multiply(multiply(sk_c3,multiply(inverse(X0),sk_c2)),multiply(multiply(sk_c3,X0),sk_c2))
| ~ spl0_7 ),
inference(superposition,[],[f2329,f1596]) ).
fof(f3299,plain,
( ! [X0] : identity = multiply(multiply(sk_c3,multiply(X0,sk_c3)),multiply(sk_c2,multiply(inverse(X0),sk_c2)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3241,f3]) ).
fof(f3241,plain,
( ! [X0] : identity = multiply(multiply(sk_c3,multiply(X0,sk_c3)),multiply(multiply(sk_c2,inverse(X0)),sk_c2))
| ~ spl0_7 ),
inference(superposition,[],[f2329,f1756]) ).
fof(f3298,plain,
( ! [X0] : identity = multiply(multiply(sk_c3,multiply(X0,sk_c2)),multiply(sk_c3,multiply(inverse(X0),sk_c2)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3240,f3]) ).
fof(f3240,plain,
( ! [X0] : identity = multiply(multiply(sk_c3,multiply(X0,sk_c2)),multiply(multiply(sk_c3,inverse(X0)),sk_c2))
| ~ spl0_7 ),
inference(superposition,[],[f2329,f1595]) ).
fof(f2329,plain,
( ! [X0] : identity = multiply(multiply(sk_c3,X0),multiply(inverse(X0),sk_c2))
| ~ spl0_7 ),
inference(superposition,[],[f2,f1596]) ).
fof(f3217,plain,
( ! [X0,X1] : multiply(multiply(X0,sk_c2),multiply(sk_c3,multiply(inverse(X0),X1))) = X1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3216,f1]) ).
fof(f3216,plain,
( ! [X0,X1] : multiply(identity,X1) = multiply(multiply(X0,sk_c2),multiply(sk_c3,multiply(inverse(X0),X1)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3137,f3]) ).
fof(f3137,plain,
( ! [X0,X1] : multiply(identity,X1) = multiply(multiply(X0,sk_c2),multiply(multiply(sk_c3,inverse(X0)),X1))
| ~ spl0_7 ),
inference(superposition,[],[f3,f2268]) ).
fof(f3118,plain,
( ! [X0] : identity = multiply(multiply(inverse(X0),sk_c2),multiply(sk_c3,X0))
| ~ spl0_7 ),
inference(superposition,[],[f2268,f469]) ).
fof(f3175,plain,
( ! [X0] : identity = multiply(multiply(sk_c3,multiply(inverse(X0),sk_c2)),multiply(sk_c3,multiply(X0,sk_c2)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3117,f3]) ).
fof(f3117,plain,
( ! [X0] : identity = multiply(multiply(multiply(sk_c3,inverse(X0)),sk_c2),multiply(sk_c3,multiply(X0,sk_c2)))
| ~ spl0_7 ),
inference(superposition,[],[f2268,f1967]) ).
fof(f3174,plain,
( ! [X0] : identity = multiply(multiply(sk_c3,multiply(X0,sk_c2)),multiply(sk_c3,multiply(inverse(X0),sk_c2)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3116,f3]) ).
fof(f3116,plain,
( ! [X0] : identity = multiply(multiply(multiply(sk_c3,X0),sk_c2),multiply(sk_c3,multiply(inverse(X0),sk_c2)))
| ~ spl0_7 ),
inference(superposition,[],[f2268,f1963]) ).
fof(f3169,plain,
( ! [X0] : identity = multiply(multiply(sk_c2,multiply(inverse(X0),sk_c2)),multiply(sk_c3,multiply(X0,sk_c3)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3114,f3]) ).
fof(f3114,plain,
( ! [X0] : identity = multiply(multiply(multiply(sk_c2,inverse(X0)),sk_c2),multiply(sk_c3,multiply(X0,sk_c3)))
| ~ spl0_7 ),
inference(superposition,[],[f2268,f1894]) ).
fof(f3168,plain,
( ! [X0] : identity = multiply(multiply(sk_c2,multiply(X0,sk_c2)),multiply(sk_c3,multiply(inverse(X0),sk_c3)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3113,f3]) ).
fof(f3113,plain,
( ! [X0] : identity = multiply(multiply(multiply(sk_c2,X0),sk_c2),multiply(sk_c3,multiply(inverse(X0),sk_c3)))
| ~ spl0_7 ),
inference(superposition,[],[f2268,f1890]) ).
fof(f3167,plain,
( identity = multiply(multiply(sk_c2,multiply(sk_c2,sk_c2)),multiply(sk_c3,multiply(sk_c3,sk_c3)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3112,f3]) ).
fof(f3112,plain,
( identity = multiply(multiply(multiply(sk_c2,sk_c2),sk_c2),multiply(sk_c3,multiply(sk_c3,sk_c3)))
| ~ spl0_7 ),
inference(superposition,[],[f2268,f1884]) ).
fof(f3162,plain,
( ! [X0] : identity = multiply(multiply(inverse(X0),multiply(sk_c2,sk_c2)),multiply(sk_c3,multiply(sk_c3,X0)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3110,f3]) ).
fof(f3110,plain,
( ! [X0] : identity = multiply(multiply(multiply(inverse(X0),sk_c2),sk_c2),multiply(sk_c3,multiply(sk_c3,X0)))
| ~ spl0_7 ),
inference(superposition,[],[f2268,f1596]) ).
fof(f3157,plain,
( ! [X0] : identity = multiply(multiply(X0,multiply(sk_c2,sk_c2)),multiply(sk_c3,multiply(sk_c3,inverse(X0))))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3108,f3]) ).
fof(f3108,plain,
( ! [X0] : identity = multiply(multiply(multiply(X0,sk_c2),sk_c2),multiply(sk_c3,multiply(sk_c3,inverse(X0))))
| ~ spl0_7 ),
inference(superposition,[],[f2268,f1595]) ).
fof(f3106,plain,
( ! [X0,X1] : identity = multiply(multiply(X0,multiply(X1,sk_c2)),multiply(sk_c3,inverse(multiply(X0,X1))))
| ~ spl0_7 ),
inference(superposition,[],[f2268,f3]) ).
fof(f2268,plain,
( ! [X0] : identity = multiply(multiply(X0,sk_c2),multiply(sk_c3,inverse(X0)))
| ~ spl0_7 ),
inference(superposition,[],[f442,f1595]) ).
fof(f3093,plain,
( ! [X0,X1] : multiply(multiply(sk_c3,inverse(X0)),multiply(X0,multiply(sk_c2,X1))) = X1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3092,f1]) ).
fof(f3092,plain,
( ! [X0,X1] : multiply(identity,X1) = multiply(multiply(sk_c3,inverse(X0)),multiply(X0,multiply(sk_c2,X1)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3006,f3]) ).
fof(f3006,plain,
( ! [X0,X1] : multiply(identity,X1) = multiply(multiply(sk_c3,inverse(X0)),multiply(multiply(X0,sk_c2),X1))
| ~ spl0_7 ),
inference(superposition,[],[f3,f2263]) ).
fof(f2999,plain,
( ! [X0,X1] : identity = multiply(multiply(sk_c3,inverse(multiply(X0,X1))),multiply(X0,multiply(X1,sk_c2)))
| ~ spl0_7 ),
inference(superposition,[],[f2263,f3]) ).
fof(f2975,plain,
( ! [X0] : identity = multiply(multiply(sk_c3,X0),multiply(inverse(X0),sk_c2))
| ~ spl0_7 ),
inference(superposition,[],[f2263,f469]) ).
fof(f3028,plain,
( ! [X0] : identity = multiply(multiply(sk_c3,multiply(X0,sk_c2)),multiply(sk_c3,multiply(inverse(X0),sk_c2)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2974,f3]) ).
fof(f2974,plain,
( ! [X0] : identity = multiply(multiply(sk_c3,multiply(X0,sk_c2)),multiply(multiply(sk_c3,inverse(X0)),sk_c2))
| ~ spl0_7 ),
inference(superposition,[],[f2263,f1967]) ).
fof(f3027,plain,
( ! [X0] : identity = multiply(multiply(sk_c3,multiply(inverse(X0),sk_c2)),multiply(sk_c3,multiply(X0,sk_c2)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2973,f3]) ).
fof(f2973,plain,
( ! [X0] : identity = multiply(multiply(sk_c3,multiply(inverse(X0),sk_c2)),multiply(multiply(sk_c3,X0),sk_c2))
| ~ spl0_7 ),
inference(superposition,[],[f2263,f1963]) ).
fof(f3022,plain,
( ! [X0] : identity = multiply(multiply(sk_c3,multiply(X0,sk_c3)),multiply(sk_c2,multiply(inverse(X0),sk_c2)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2971,f3]) ).
fof(f2971,plain,
( ! [X0] : identity = multiply(multiply(sk_c3,multiply(X0,sk_c3)),multiply(multiply(sk_c2,inverse(X0)),sk_c2))
| ~ spl0_7 ),
inference(superposition,[],[f2263,f1894]) ).
fof(f3021,plain,
( ! [X0] : identity = multiply(multiply(sk_c3,multiply(inverse(X0),sk_c3)),multiply(sk_c2,multiply(X0,sk_c2)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2970,f3]) ).
fof(f2970,plain,
( ! [X0] : identity = multiply(multiply(sk_c3,multiply(inverse(X0),sk_c3)),multiply(multiply(sk_c2,X0),sk_c2))
| ~ spl0_7 ),
inference(superposition,[],[f2263,f1890]) ).
fof(f3020,plain,
( identity = multiply(multiply(sk_c3,multiply(sk_c3,sk_c3)),multiply(sk_c2,multiply(sk_c2,sk_c2)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2969,f3]) ).
fof(f2969,plain,
( identity = multiply(multiply(sk_c3,multiply(sk_c3,sk_c3)),multiply(multiply(sk_c2,sk_c2),sk_c2))
| ~ spl0_7 ),
inference(superposition,[],[f2263,f1884]) ).
fof(f3015,plain,
( ! [X0] : identity = multiply(multiply(sk_c3,multiply(sk_c3,X0)),multiply(inverse(X0),multiply(sk_c2,sk_c2)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2967,f3]) ).
fof(f2967,plain,
( ! [X0] : identity = multiply(multiply(sk_c3,multiply(sk_c3,X0)),multiply(multiply(inverse(X0),sk_c2),sk_c2))
| ~ spl0_7 ),
inference(superposition,[],[f2263,f1596]) ).
fof(f3010,plain,
( ! [X0] : identity = multiply(multiply(sk_c3,multiply(sk_c3,inverse(X0))),multiply(X0,multiply(sk_c2,sk_c2)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2965,f3]) ).
fof(f2965,plain,
( ! [X0] : identity = multiply(multiply(sk_c3,multiply(sk_c3,inverse(X0))),multiply(multiply(X0,sk_c2),sk_c2))
| ~ spl0_7 ),
inference(superposition,[],[f2263,f1595]) ).
fof(f2263,plain,
( ! [X0] : identity = multiply(multiply(sk_c3,inverse(X0)),multiply(X0,sk_c2))
| ~ spl0_7 ),
inference(superposition,[],[f2,f1595]) ).
fof(f2954,plain,
( ! [X0] : multiply(multiply(sk_c2,sk_c2),multiply(sk_c3,multiply(sk_c3,X0))) = X0
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2953,f1]) ).
fof(f2953,plain,
( ! [X0] : multiply(identity,X0) = multiply(multiply(sk_c2,sk_c2),multiply(sk_c3,multiply(sk_c3,X0)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2941,f3]) ).
fof(f2941,plain,
( ! [X0] : multiply(identity,X0) = multiply(multiply(sk_c2,sk_c2),multiply(multiply(sk_c3,sk_c3),X0))
| ~ spl0_7 ),
inference(superposition,[],[f3,f2041]) ).
fof(f2041,plain,
( identity = multiply(multiply(sk_c2,sk_c2),multiply(sk_c3,sk_c3))
| ~ spl0_7 ),
inference(superposition,[],[f442,f1884]) ).
fof(f2933,plain,
( ! [X0] : multiply(multiply(sk_c3,sk_c3),multiply(sk_c2,multiply(sk_c2,X0))) = X0
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2932,f1]) ).
fof(f2932,plain,
( ! [X0] : multiply(identity,X0) = multiply(multiply(sk_c3,sk_c3),multiply(sk_c2,multiply(sk_c2,X0)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2920,f3]) ).
fof(f2920,plain,
( ! [X0] : multiply(identity,X0) = multiply(multiply(sk_c3,sk_c3),multiply(multiply(sk_c2,sk_c2),X0))
| ~ spl0_7 ),
inference(superposition,[],[f3,f2036]) ).
fof(f2036,plain,
( identity = multiply(multiply(sk_c3,sk_c3),multiply(sk_c2,sk_c2))
| ~ spl0_7 ),
inference(superposition,[],[f2,f1884]) ).
fof(f2901,plain,
( ! [X0] : multiply(sk_c3,multiply(inverse(X0),sk_c3)) = inverse(multiply(sk_c2,multiply(X0,sk_c2)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2844,f3]) ).
fof(f2844,plain,
( ! [X0] : multiply(multiply(sk_c3,inverse(X0)),sk_c3) = inverse(multiply(sk_c2,multiply(X0,sk_c2)))
| ~ spl0_7 ),
inference(superposition,[],[f1894,f1967]) ).
fof(f2897,plain,
( ! [X0] : inverse(multiply(X0,multiply(sk_c2,sk_c2))) = multiply(sk_c3,multiply(sk_c3,inverse(X0)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2842,f3]) ).
fof(f2842,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c3,inverse(X0))) = inverse(multiply(multiply(X0,sk_c2),sk_c2))
| ~ spl0_7 ),
inference(superposition,[],[f1596,f1967]) ).
fof(f2841,plain,
( ! [X0,X1] : multiply(sk_c3,inverse(X0)) = multiply(inverse(multiply(X1,multiply(X0,sk_c2))),X1)
| ~ spl0_7 ),
inference(superposition,[],[f1165,f1967]) ).
fof(f2840,plain,
( ! [X0,X1] : multiply(multiply(X1,multiply(X0,sk_c2)),multiply(sk_c3,inverse(X0))) = X1
| ~ spl0_7 ),
inference(superposition,[],[f986,f1967]) ).
fof(f2839,plain,
( ! [X0,X1] : multiply(multiply(X1,multiply(sk_c3,inverse(X0))),multiply(X0,sk_c2)) = X1
| ~ spl0_7 ),
inference(superposition,[],[f898,f1967]) ).
fof(f2896,plain,
( ! [X0,X1] : multiply(sk_c3,inverse(X0)) = multiply(X1,inverse(multiply(X0,multiply(sk_c2,X1))))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2838,f3]) ).
fof(f2838,plain,
( ! [X0,X1] : multiply(sk_c3,inverse(X0)) = multiply(X1,inverse(multiply(multiply(X0,sk_c2),X1)))
| ~ spl0_7 ),
inference(superposition,[],[f812,f1967]) ).
fof(f2895,plain,
( ! [X0,X1] : multiply(multiply(sk_c3,inverse(X0)),multiply(X0,multiply(sk_c2,X1))) = X1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2836,f3]) ).
fof(f2836,plain,
( ! [X0,X1] : multiply(multiply(sk_c3,inverse(X0)),multiply(multiply(X0,sk_c2),X1)) = X1
| ~ spl0_7 ),
inference(superposition,[],[f444,f1967]) ).
fof(f2835,plain,
( ! [X0] : identity = multiply(multiply(sk_c3,inverse(X0)),multiply(X0,sk_c2))
| ~ spl0_7 ),
inference(superposition,[],[f442,f1967]) ).
fof(f2894,plain,
( ! [X0] : identity = multiply(multiply(X0,sk_c2),multiply(sk_c3,inverse(X0)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2834,f469]) ).
fof(f2834,plain,
( ! [X0] : identity = multiply(inverse(inverse(multiply(X0,sk_c2))),multiply(sk_c3,inverse(X0)))
| ~ spl0_7 ),
inference(superposition,[],[f401,f1967]) ).
fof(f2890,plain,
( ! [X0,X1] : multiply(multiply(X0,sk_c2),multiply(sk_c3,multiply(inverse(X0),X1))) = X1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2831,f3]) ).
fof(f2831,plain,
( ! [X0,X1] : multiply(multiply(X0,sk_c2),multiply(multiply(sk_c3,inverse(X0)),X1)) = X1
| ~ spl0_7 ),
inference(superposition,[],[f60,f1967]) ).
fof(f2830,plain,
( ! [X0] : identity = multiply(multiply(X0,sk_c2),multiply(sk_c3,inverse(X0)))
| ~ spl0_7 ),
inference(superposition,[],[f2,f1967]) ).
fof(f2860,plain,
( ! [X0] : multiply(sk_c3,multiply(inverse(X0),sk_c2)) = inverse(multiply(sk_c3,multiply(X0,sk_c2)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2809,f3]) ).
fof(f2809,plain,
( ! [X0] : multiply(multiply(sk_c3,inverse(X0)),sk_c2) = inverse(multiply(sk_c3,multiply(X0,sk_c2)))
| ~ spl0_7 ),
inference(superposition,[],[f1967,f1967]) ).
fof(f2859,plain,
( ! [X0] : multiply(sk_c3,multiply(X0,sk_c2)) = inverse(multiply(sk_c3,multiply(inverse(X0),sk_c2)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2808,f3]) ).
fof(f2808,plain,
( ! [X0] : multiply(multiply(sk_c3,X0),sk_c2) = inverse(multiply(sk_c3,multiply(inverse(X0),sk_c2)))
| ~ spl0_7 ),
inference(superposition,[],[f1967,f1963]) ).
fof(f2856,plain,
( ! [X0] : multiply(sk_c2,multiply(inverse(X0),sk_c2)) = inverse(multiply(sk_c3,multiply(X0,sk_c3)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2806,f3]) ).
fof(f2806,plain,
( ! [X0] : multiply(multiply(sk_c2,inverse(X0)),sk_c2) = inverse(multiply(sk_c3,multiply(X0,sk_c3)))
| ~ spl0_7 ),
inference(superposition,[],[f1967,f1894]) ).
fof(f2855,plain,
( ! [X0] : multiply(sk_c2,multiply(X0,sk_c2)) = inverse(multiply(sk_c3,multiply(inverse(X0),sk_c3)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2805,f3]) ).
fof(f2805,plain,
( ! [X0] : multiply(multiply(sk_c2,X0),sk_c2) = inverse(multiply(sk_c3,multiply(inverse(X0),sk_c3)))
| ~ spl0_7 ),
inference(superposition,[],[f1967,f1890]) ).
fof(f2854,plain,
( multiply(sk_c2,multiply(sk_c2,sk_c2)) = inverse(multiply(sk_c3,multiply(sk_c3,sk_c3)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2804,f3]) ).
fof(f2804,plain,
( multiply(multiply(sk_c2,sk_c2),sk_c2) = inverse(multiply(sk_c3,multiply(sk_c3,sk_c3)))
| ~ spl0_7 ),
inference(superposition,[],[f1967,f1884]) ).
fof(f2850,plain,
( ! [X0] : inverse(multiply(sk_c3,multiply(sk_c3,X0))) = multiply(inverse(X0),multiply(sk_c2,sk_c2))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2802,f3]) ).
fof(f2802,plain,
( ! [X0] : inverse(multiply(sk_c3,multiply(sk_c3,X0))) = multiply(multiply(inverse(X0),sk_c2),sk_c2)
| ~ spl0_7 ),
inference(superposition,[],[f1967,f1596]) ).
fof(f2847,plain,
( ! [X0] : multiply(X0,multiply(sk_c2,sk_c2)) = inverse(multiply(sk_c3,multiply(sk_c3,inverse(X0))))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2800,f3]) ).
fof(f2800,plain,
( ! [X0] : multiply(multiply(X0,sk_c2),sk_c2) = inverse(multiply(sk_c3,multiply(sk_c3,inverse(X0))))
| ~ spl0_7 ),
inference(superposition,[],[f1967,f1595]) ).
fof(f1967,plain,
( ! [X0] : multiply(X0,sk_c2) = inverse(multiply(sk_c3,inverse(X0)))
| ~ spl0_7 ),
inference(superposition,[],[f444,f1767]) ).
fof(f2794,plain,
( ! [X0] : multiply(sk_c3,multiply(X0,sk_c3)) = inverse(multiply(sk_c2,multiply(inverse(X0),sk_c2)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2758,f3]) ).
fof(f2758,plain,
( ! [X0] : inverse(multiply(sk_c2,multiply(inverse(X0),sk_c2))) = multiply(multiply(sk_c3,X0),sk_c3)
| ~ spl0_7 ),
inference(superposition,[],[f1894,f1963]) ).
fof(f2789,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c3,X0)) = inverse(multiply(inverse(X0),multiply(sk_c2,sk_c2)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2756,f3]) ).
fof(f2756,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c3,X0)) = inverse(multiply(multiply(inverse(X0),sk_c2),sk_c2))
| ~ spl0_7 ),
inference(superposition,[],[f1596,f1963]) ).
fof(f2755,plain,
( ! [X0,X1] : multiply(sk_c3,X0) = multiply(inverse(multiply(X1,multiply(inverse(X0),sk_c2))),X1)
| ~ spl0_7 ),
inference(superposition,[],[f1165,f1963]) ).
fof(f2754,plain,
( ! [X0,X1] : multiply(multiply(X1,multiply(inverse(X0),sk_c2)),multiply(sk_c3,X0)) = X1
| ~ spl0_7 ),
inference(superposition,[],[f986,f1963]) ).
fof(f2753,plain,
( ! [X0,X1] : multiply(multiply(X1,multiply(sk_c3,X0)),multiply(inverse(X0),sk_c2)) = X1
| ~ spl0_7 ),
inference(superposition,[],[f898,f1963]) ).
fof(f2788,plain,
( ! [X0,X1] : multiply(sk_c3,X0) = multiply(X1,inverse(multiply(inverse(X0),multiply(sk_c2,X1))))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2752,f3]) ).
fof(f2752,plain,
( ! [X0,X1] : multiply(sk_c3,X0) = multiply(X1,inverse(multiply(multiply(inverse(X0),sk_c2),X1)))
| ~ spl0_7 ),
inference(superposition,[],[f812,f1963]) ).
fof(f2787,plain,
( ! [X0,X1] : multiply(multiply(sk_c3,X0),multiply(inverse(X0),multiply(sk_c2,X1))) = X1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2750,f3]) ).
fof(f2750,plain,
( ! [X0,X1] : multiply(multiply(sk_c3,X0),multiply(multiply(inverse(X0),sk_c2),X1)) = X1
| ~ spl0_7 ),
inference(superposition,[],[f444,f1963]) ).
fof(f2749,plain,
( ! [X0] : identity = multiply(multiply(sk_c3,X0),multiply(inverse(X0),sk_c2))
| ~ spl0_7 ),
inference(superposition,[],[f442,f1963]) ).
fof(f2786,plain,
( ! [X0] : identity = multiply(multiply(inverse(X0),sk_c2),multiply(sk_c3,X0))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2748,f469]) ).
fof(f2748,plain,
( ! [X0] : identity = multiply(inverse(inverse(multiply(inverse(X0),sk_c2))),multiply(sk_c3,X0))
| ~ spl0_7 ),
inference(superposition,[],[f401,f1963]) ).
fof(f2782,plain,
( ! [X0,X1] : multiply(multiply(inverse(X0),sk_c2),multiply(sk_c3,multiply(X0,X1))) = X1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2745,f3]) ).
fof(f2745,plain,
( ! [X0,X1] : multiply(multiply(inverse(X0),sk_c2),multiply(multiply(sk_c3,X0),X1)) = X1
| ~ spl0_7 ),
inference(superposition,[],[f60,f1963]) ).
fof(f2744,plain,
( ! [X0] : identity = multiply(multiply(inverse(X0),sk_c2),multiply(sk_c3,X0))
| ~ spl0_7 ),
inference(superposition,[],[f2,f1963]) ).
fof(f1963,plain,
( ! [X0] : inverse(multiply(sk_c3,X0)) = multiply(inverse(X0),sk_c2)
| ~ spl0_7 ),
inference(superposition,[],[f60,f1767]) ).
fof(f2720,plain,
( ! [X0] : inverse(multiply(X0,multiply(sk_c3,sk_c3))) = multiply(sk_c2,multiply(sk_c2,inverse(X0)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2666,f3]) ).
fof(f2666,plain,
( ! [X0] : multiply(sk_c2,multiply(sk_c2,inverse(X0))) = inverse(multiply(multiply(X0,sk_c3),sk_c3))
| ~ spl0_7 ),
inference(superposition,[],[f1757,f1894]) ).
fof(f2664,plain,
( ! [X0,X1] : multiply(sk_c2,inverse(X0)) = multiply(inverse(multiply(X1,multiply(X0,sk_c3))),X1)
| ~ spl0_7 ),
inference(superposition,[],[f1165,f1894]) ).
fof(f2663,plain,
( ! [X0,X1] : multiply(multiply(X1,multiply(X0,sk_c3)),multiply(sk_c2,inverse(X0))) = X1
| ~ spl0_7 ),
inference(superposition,[],[f986,f1894]) ).
fof(f2662,plain,
( ! [X0,X1] : multiply(multiply(X1,multiply(sk_c2,inverse(X0))),multiply(X0,sk_c3)) = X1
| ~ spl0_7 ),
inference(superposition,[],[f898,f1894]) ).
fof(f2716,plain,
( ! [X0,X1] : multiply(sk_c2,inverse(X0)) = multiply(X1,inverse(multiply(X0,multiply(sk_c3,X1))))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2661,f3]) ).
fof(f2661,plain,
( ! [X0,X1] : multiply(sk_c2,inverse(X0)) = multiply(X1,inverse(multiply(multiply(X0,sk_c3),X1)))
| ~ spl0_7 ),
inference(superposition,[],[f812,f1894]) ).
fof(f2715,plain,
( ! [X0,X1] : multiply(multiply(sk_c2,inverse(X0)),multiply(X0,multiply(sk_c3,X1))) = X1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2659,f3]) ).
fof(f2659,plain,
( ! [X0,X1] : multiply(multiply(sk_c2,inverse(X0)),multiply(multiply(X0,sk_c3),X1)) = X1
| ~ spl0_7 ),
inference(superposition,[],[f444,f1894]) ).
fof(f2658,plain,
( ! [X0] : identity = multiply(multiply(sk_c2,inverse(X0)),multiply(X0,sk_c3))
| ~ spl0_7 ),
inference(superposition,[],[f442,f1894]) ).
fof(f2714,plain,
( ! [X0] : identity = multiply(multiply(X0,sk_c3),multiply(sk_c2,inverse(X0)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2657,f469]) ).
fof(f2657,plain,
( ! [X0] : identity = multiply(inverse(inverse(multiply(X0,sk_c3))),multiply(sk_c2,inverse(X0)))
| ~ spl0_7 ),
inference(superposition,[],[f401,f1894]) ).
fof(f2710,plain,
( ! [X0,X1] : multiply(multiply(X0,sk_c3),multiply(sk_c2,multiply(inverse(X0),X1))) = X1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2654,f3]) ).
fof(f2654,plain,
( ! [X0,X1] : multiply(multiply(X0,sk_c3),multiply(multiply(sk_c2,inverse(X0)),X1)) = X1
| ~ spl0_7 ),
inference(superposition,[],[f60,f1894]) ).
fof(f2653,plain,
( ! [X0] : identity = multiply(multiply(X0,sk_c3),multiply(sk_c2,inverse(X0)))
| ~ spl0_7 ),
inference(superposition,[],[f2,f1894]) ).
fof(f2680,plain,
( multiply(sk_c3,multiply(sk_c3,sk_c3)) = inverse(multiply(sk_c2,multiply(sk_c2,sk_c2)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2632,f3]) ).
fof(f2632,plain,
( inverse(multiply(sk_c2,multiply(sk_c2,sk_c2))) = multiply(multiply(sk_c3,sk_c3),sk_c3)
| ~ spl0_7 ),
inference(superposition,[],[f1894,f1958]) ).
fof(f2679,plain,
( ! [X0] : multiply(sk_c2,multiply(inverse(X0),sk_c3)) = inverse(multiply(sk_c2,multiply(X0,sk_c3)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2631,f3]) ).
fof(f2631,plain,
( ! [X0] : multiply(multiply(sk_c2,inverse(X0)),sk_c3) = inverse(multiply(sk_c2,multiply(X0,sk_c3)))
| ~ spl0_7 ),
inference(superposition,[],[f1894,f1894]) ).
fof(f2678,plain,
( ! [X0] : multiply(sk_c2,multiply(X0,sk_c3)) = inverse(multiply(sk_c2,multiply(inverse(X0),sk_c3)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2630,f3]) ).
fof(f2630,plain,
( ! [X0] : multiply(multiply(sk_c2,X0),sk_c3) = inverse(multiply(sk_c2,multiply(inverse(X0),sk_c3)))
| ~ spl0_7 ),
inference(superposition,[],[f1894,f1890]) ).
fof(f2675,plain,
( ! [X0] : inverse(multiply(sk_c2,multiply(sk_c2,X0))) = multiply(inverse(X0),multiply(sk_c3,sk_c3))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2628,f3]) ).
fof(f2628,plain,
( ! [X0] : inverse(multiply(sk_c2,multiply(sk_c2,X0))) = multiply(multiply(inverse(X0),sk_c3),sk_c3)
| ~ spl0_7 ),
inference(superposition,[],[f1894,f1757]) ).
fof(f2671,plain,
( ! [X0] : multiply(X0,multiply(sk_c3,sk_c3)) = inverse(multiply(sk_c2,multiply(sk_c2,inverse(X0))))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2626,f3]) ).
fof(f2626,plain,
( ! [X0] : multiply(multiply(X0,sk_c3),sk_c3) = inverse(multiply(sk_c2,multiply(sk_c2,inverse(X0))))
| ~ spl0_7 ),
inference(superposition,[],[f1894,f1756]) ).
fof(f1894,plain,
( ! [X0] : multiply(X0,sk_c3) = inverse(multiply(sk_c2,inverse(X0)))
| ~ spl0_7 ),
inference(superposition,[],[f444,f1606]) ).
fof(f2623,plain,
( ! [X0] : multiply(sk_c2,multiply(sk_c2,X0)) = inverse(multiply(inverse(X0),multiply(sk_c3,sk_c3)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2588,f3]) ).
fof(f2588,plain,
( ! [X0] : multiply(sk_c2,multiply(sk_c2,X0)) = inverse(multiply(multiply(inverse(X0),sk_c3),sk_c3))
| ~ spl0_7 ),
inference(superposition,[],[f1757,f1890]) ).
fof(f2586,plain,
( ! [X0,X1] : multiply(sk_c2,X0) = multiply(inverse(multiply(X1,multiply(inverse(X0),sk_c3))),X1)
| ~ spl0_7 ),
inference(superposition,[],[f1165,f1890]) ).
fof(f2585,plain,
( ! [X0,X1] : multiply(multiply(X1,multiply(inverse(X0),sk_c3)),multiply(sk_c2,X0)) = X1
| ~ spl0_7 ),
inference(superposition,[],[f986,f1890]) ).
fof(f2584,plain,
( ! [X0,X1] : multiply(multiply(X1,multiply(sk_c2,X0)),multiply(inverse(X0),sk_c3)) = X1
| ~ spl0_7 ),
inference(superposition,[],[f898,f1890]) ).
fof(f2618,plain,
( ! [X0,X1] : multiply(sk_c2,X0) = multiply(X1,inverse(multiply(inverse(X0),multiply(sk_c3,X1))))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2583,f3]) ).
fof(f2583,plain,
( ! [X0,X1] : multiply(sk_c2,X0) = multiply(X1,inverse(multiply(multiply(inverse(X0),sk_c3),X1)))
| ~ spl0_7 ),
inference(superposition,[],[f812,f1890]) ).
fof(f2617,plain,
( ! [X0,X1] : multiply(multiply(sk_c2,X0),multiply(inverse(X0),multiply(sk_c3,X1))) = X1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2581,f3]) ).
fof(f2581,plain,
( ! [X0,X1] : multiply(multiply(sk_c2,X0),multiply(multiply(inverse(X0),sk_c3),X1)) = X1
| ~ spl0_7 ),
inference(superposition,[],[f444,f1890]) ).
fof(f2580,plain,
( ! [X0] : identity = multiply(multiply(sk_c2,X0),multiply(inverse(X0),sk_c3))
| ~ spl0_7 ),
inference(superposition,[],[f442,f1890]) ).
fof(f2616,plain,
( ! [X0] : identity = multiply(multiply(inverse(X0),sk_c3),multiply(sk_c2,X0))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2579,f469]) ).
fof(f2579,plain,
( ! [X0] : identity = multiply(inverse(inverse(multiply(inverse(X0),sk_c3))),multiply(sk_c2,X0))
| ~ spl0_7 ),
inference(superposition,[],[f401,f1890]) ).
fof(f2612,plain,
( ! [X0,X1] : multiply(multiply(inverse(X0),sk_c3),multiply(sk_c2,multiply(X0,X1))) = X1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2576,f3]) ).
fof(f2576,plain,
( ! [X0,X1] : multiply(multiply(inverse(X0),sk_c3),multiply(multiply(sk_c2,X0),X1)) = X1
| ~ spl0_7 ),
inference(superposition,[],[f60,f1890]) ).
fof(f2575,plain,
( ! [X0] : identity = multiply(multiply(inverse(X0),sk_c3),multiply(sk_c2,X0))
| ~ spl0_7 ),
inference(superposition,[],[f2,f1890]) ).
fof(f1890,plain,
( ! [X0] : inverse(multiply(sk_c2,X0)) = multiply(inverse(X0),sk_c3)
| ~ spl0_7 ),
inference(superposition,[],[f60,f1606]) ).
fof(f2551,plain,
( ! [X0] : multiply(sk_c3,multiply(inverse(X0),sk_c3)) = inverse(multiply(sk_c2,multiply(X0,sk_c2)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2503,f3]) ).
fof(f2503,plain,
( ! [X0] : multiply(sk_c3,multiply(inverse(X0),sk_c3)) = inverse(multiply(multiply(sk_c2,X0),sk_c2))
| ~ spl0_7 ),
inference(superposition,[],[f1596,f1757]) ).
fof(f2502,plain,
( ! [X0,X1] : multiply(inverse(X0),sk_c3) = multiply(inverse(multiply(X1,multiply(sk_c2,X0))),X1)
| ~ spl0_7 ),
inference(superposition,[],[f1165,f1757]) ).
fof(f2501,plain,
( ! [X0,X1] : multiply(multiply(X1,multiply(sk_c2,X0)),multiply(inverse(X0),sk_c3)) = X1
| ~ spl0_7 ),
inference(superposition,[],[f986,f1757]) ).
fof(f2500,plain,
( ! [X0,X1] : multiply(multiply(X1,multiply(inverse(X0),sk_c3)),multiply(sk_c2,X0)) = X1
| ~ spl0_7 ),
inference(superposition,[],[f898,f1757]) ).
fof(f2550,plain,
( ! [X0,X1] : multiply(inverse(X0),sk_c3) = multiply(X1,inverse(multiply(sk_c2,multiply(X0,X1))))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2499,f3]) ).
fof(f2499,plain,
( ! [X0,X1] : multiply(inverse(X0),sk_c3) = multiply(X1,inverse(multiply(multiply(sk_c2,X0),X1)))
| ~ spl0_7 ),
inference(superposition,[],[f812,f1757]) ).
fof(f2498,plain,
( ! [X0] : inverse(multiply(sk_c2,X0)) = multiply(inverse(X0),sk_c3)
| ~ spl0_7 ),
inference(superposition,[],[f469,f1757]) ).
fof(f2549,plain,
( ! [X0,X1] : multiply(multiply(inverse(X0),sk_c3),multiply(sk_c2,multiply(X0,X1))) = X1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2497,f3]) ).
fof(f2497,plain,
( ! [X0,X1] : multiply(multiply(inverse(X0),sk_c3),multiply(multiply(sk_c2,X0),X1)) = X1
| ~ spl0_7 ),
inference(superposition,[],[f444,f1757]) ).
fof(f2548,plain,
( ! [X0] : identity = multiply(multiply(sk_c2,X0),multiply(inverse(X0),sk_c3))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2495,f469]) ).
fof(f2495,plain,
( ! [X0] : identity = multiply(inverse(inverse(multiply(sk_c2,X0))),multiply(inverse(X0),sk_c3))
| ~ spl0_7 ),
inference(superposition,[],[f401,f1757]) ).
fof(f2547,plain,
( ! [X0,X1] : multiply(inverse(multiply(sk_c2,X0)),X1) = multiply(inverse(X0),multiply(sk_c3,X1))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2494,f3]) ).
fof(f2494,plain,
( ! [X0,X1] : multiply(inverse(multiply(sk_c2,X0)),X1) = multiply(multiply(inverse(X0),sk_c3),X1)
| ~ spl0_7 ),
inference(superposition,[],[f293,f1757]) ).
fof(f2493,plain,
( ! [X0] : multiply(inverse(X0),sk_c3) = multiply(inverse(multiply(sk_c2,X0)),identity)
| ~ spl0_7 ),
inference(superposition,[],[f283,f1757]) ).
fof(f2546,plain,
( ! [X0,X1] : multiply(multiply(sk_c2,X0),multiply(inverse(X0),multiply(sk_c3,X1))) = X1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2492,f3]) ).
fof(f2492,plain,
( ! [X0,X1] : multiply(multiply(sk_c2,X0),multiply(multiply(inverse(X0),sk_c3),X1)) = X1
| ~ spl0_7 ),
inference(superposition,[],[f60,f1757]) ).
fof(f2510,plain,
( multiply(sk_c2,multiply(sk_c2,sk_c2)) = inverse(multiply(sk_c3,multiply(sk_c3,sk_c3)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2467,f3]) ).
fof(f2467,plain,
( multiply(sk_c2,multiply(sk_c2,sk_c2)) = inverse(multiply(multiply(sk_c3,sk_c3),sk_c3))
| ~ spl0_7 ),
inference(superposition,[],[f1757,f1884]) ).
fof(f2509,plain,
( ! [X0] : multiply(sk_c2,multiply(inverse(X0),sk_c3)) = inverse(multiply(sk_c2,multiply(X0,sk_c3)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2466,f3]) ).
fof(f2466,plain,
( ! [X0] : multiply(sk_c2,multiply(inverse(X0),sk_c3)) = inverse(multiply(multiply(sk_c2,X0),sk_c3))
| ~ spl0_7 ),
inference(superposition,[],[f1757,f1757]) ).
fof(f2508,plain,
( ! [X0] : multiply(sk_c2,multiply(inverse(X0),sk_c2)) = inverse(multiply(sk_c3,multiply(X0,sk_c3)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2465,f3]) ).
fof(f2465,plain,
( ! [X0] : multiply(sk_c2,multiply(inverse(X0),sk_c2)) = inverse(multiply(multiply(sk_c3,X0),sk_c3))
| ~ spl0_7 ),
inference(superposition,[],[f1757,f1596]) ).
fof(f2507,plain,
( ! [X0] : multiply(sk_c2,multiply(X0,sk_c3)) = inverse(multiply(sk_c2,multiply(inverse(X0),sk_c3)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2464,f3]) ).
fof(f2464,plain,
( ! [X0] : multiply(sk_c2,multiply(X0,sk_c3)) = inverse(multiply(multiply(sk_c2,inverse(X0)),sk_c3))
| ~ spl0_7 ),
inference(superposition,[],[f1757,f1756]) ).
fof(f2506,plain,
( ! [X0] : multiply(sk_c2,multiply(X0,sk_c2)) = inverse(multiply(sk_c3,multiply(inverse(X0),sk_c3)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2463,f3]) ).
fof(f2463,plain,
( ! [X0] : multiply(sk_c2,multiply(X0,sk_c2)) = inverse(multiply(multiply(sk_c3,inverse(X0)),sk_c3))
| ~ spl0_7 ),
inference(superposition,[],[f1757,f1595]) ).
fof(f1757,plain,
( ! [X0] : multiply(sk_c2,X0) = inverse(multiply(inverse(X0),sk_c3))
| ~ spl0_7 ),
inference(superposition,[],[f1465,f812]) ).
fof(f2461,plain,
( ! [X0] : multiply(sk_c3,multiply(X0,sk_c3)) = inverse(multiply(sk_c2,multiply(inverse(X0),sk_c2)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2433,f3]) ).
fof(f2433,plain,
( ! [X0] : multiply(sk_c3,multiply(X0,sk_c3)) = inverse(multiply(multiply(sk_c2,inverse(X0)),sk_c2))
| ~ spl0_7 ),
inference(superposition,[],[f1596,f1756]) ).
fof(f2432,plain,
( ! [X0,X1] : multiply(X0,sk_c3) = multiply(inverse(multiply(X1,multiply(sk_c2,inverse(X0)))),X1)
| ~ spl0_7 ),
inference(superposition,[],[f1165,f1756]) ).
fof(f2431,plain,
( ! [X0,X1] : multiply(multiply(X1,multiply(sk_c2,inverse(X0))),multiply(X0,sk_c3)) = X1
| ~ spl0_7 ),
inference(superposition,[],[f986,f1756]) ).
fof(f2430,plain,
( ! [X0,X1] : multiply(multiply(X1,multiply(X0,sk_c3)),multiply(sk_c2,inverse(X0))) = X1
| ~ spl0_7 ),
inference(superposition,[],[f898,f1756]) ).
fof(f2460,plain,
( ! [X0,X1] : multiply(X0,sk_c3) = multiply(X1,inverse(multiply(sk_c2,multiply(inverse(X0),X1))))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2429,f3]) ).
fof(f2429,plain,
( ! [X0,X1] : multiply(X0,sk_c3) = multiply(X1,inverse(multiply(multiply(sk_c2,inverse(X0)),X1)))
| ~ spl0_7 ),
inference(superposition,[],[f812,f1756]) ).
fof(f2428,plain,
( ! [X0] : multiply(X0,sk_c3) = inverse(multiply(sk_c2,inverse(X0)))
| ~ spl0_7 ),
inference(superposition,[],[f469,f1756]) ).
fof(f2459,plain,
( ! [X0,X1] : multiply(multiply(X0,sk_c3),multiply(sk_c2,multiply(inverse(X0),X1))) = X1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2427,f3]) ).
fof(f2427,plain,
( ! [X0,X1] : multiply(multiply(X0,sk_c3),multiply(multiply(sk_c2,inverse(X0)),X1)) = X1
| ~ spl0_7 ),
inference(superposition,[],[f444,f1756]) ).
fof(f2458,plain,
( ! [X0] : identity = multiply(multiply(sk_c2,inverse(X0)),multiply(X0,sk_c3))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2425,f469]) ).
fof(f2425,plain,
( ! [X0] : identity = multiply(inverse(inverse(multiply(sk_c2,inverse(X0)))),multiply(X0,sk_c3))
| ~ spl0_7 ),
inference(superposition,[],[f401,f1756]) ).
fof(f2457,plain,
( ! [X0,X1] : multiply(X0,multiply(sk_c3,X1)) = multiply(inverse(multiply(sk_c2,inverse(X0))),X1)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2424,f3]) ).
fof(f2424,plain,
( ! [X0,X1] : multiply(multiply(X0,sk_c3),X1) = multiply(inverse(multiply(sk_c2,inverse(X0))),X1)
| ~ spl0_7 ),
inference(superposition,[],[f293,f1756]) ).
fof(f2423,plain,
( ! [X0] : multiply(X0,sk_c3) = multiply(inverse(multiply(sk_c2,inverse(X0))),identity)
| ~ spl0_7 ),
inference(superposition,[],[f283,f1756]) ).
fof(f2456,plain,
( ! [X0,X1] : multiply(multiply(sk_c2,inverse(X0)),multiply(X0,multiply(sk_c3,X1))) = X1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2422,f3]) ).
fof(f2422,plain,
( ! [X0,X1] : multiply(multiply(sk_c2,inverse(X0)),multiply(multiply(X0,sk_c3),X1)) = X1
| ~ spl0_7 ),
inference(superposition,[],[f60,f1756]) ).
fof(f2411,plain,
( ! [X0,X1] : inverse(multiply(X0,multiply(X1,sk_c3))) = multiply(sk_c2,inverse(multiply(X0,X1)))
| ~ spl0_7 ),
inference(superposition,[],[f1756,f3]) ).
fof(f1756,plain,
( ! [X0] : inverse(multiply(X0,sk_c3)) = multiply(sk_c2,inverse(X0))
| ~ spl0_7 ),
inference(superposition,[],[f1465,f808]) ).
fof(f2340,plain,
( ! [X0,X1] : multiply(inverse(X0),sk_c2) = multiply(inverse(multiply(X1,multiply(sk_c3,X0))),X1)
| ~ spl0_7 ),
inference(superposition,[],[f1165,f1596]) ).
fof(f2339,plain,
( ! [X0,X1] : multiply(multiply(X1,multiply(sk_c3,X0)),multiply(inverse(X0),sk_c2)) = X1
| ~ spl0_7 ),
inference(superposition,[],[f986,f1596]) ).
fof(f2338,plain,
( ! [X0,X1] : multiply(multiply(X1,multiply(inverse(X0),sk_c2)),multiply(sk_c3,X0)) = X1
| ~ spl0_7 ),
inference(superposition,[],[f898,f1596]) ).
fof(f2385,plain,
( ! [X0,X1] : multiply(inverse(X0),sk_c2) = multiply(X1,inverse(multiply(sk_c3,multiply(X0,X1))))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2337,f3]) ).
fof(f2337,plain,
( ! [X0,X1] : multiply(inverse(X0),sk_c2) = multiply(X1,inverse(multiply(multiply(sk_c3,X0),X1)))
| ~ spl0_7 ),
inference(superposition,[],[f812,f1596]) ).
fof(f2336,plain,
( ! [X0] : inverse(multiply(sk_c3,X0)) = multiply(inverse(X0),sk_c2)
| ~ spl0_7 ),
inference(superposition,[],[f469,f1596]) ).
fof(f2384,plain,
( ! [X0,X1] : multiply(multiply(inverse(X0),sk_c2),multiply(sk_c3,multiply(X0,X1))) = X1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2335,f3]) ).
fof(f2335,plain,
( ! [X0,X1] : multiply(multiply(inverse(X0),sk_c2),multiply(multiply(sk_c3,X0),X1)) = X1
| ~ spl0_7 ),
inference(superposition,[],[f444,f1596]) ).
fof(f2383,plain,
( ! [X0] : identity = multiply(multiply(sk_c3,X0),multiply(inverse(X0),sk_c2))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2333,f469]) ).
fof(f2333,plain,
( ! [X0] : identity = multiply(inverse(inverse(multiply(sk_c3,X0))),multiply(inverse(X0),sk_c2))
| ~ spl0_7 ),
inference(superposition,[],[f401,f1596]) ).
fof(f2382,plain,
( ! [X0,X1] : multiply(inverse(multiply(sk_c3,X0)),X1) = multiply(inverse(X0),multiply(sk_c2,X1))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2332,f3]) ).
fof(f2332,plain,
( ! [X0,X1] : multiply(inverse(multiply(sk_c3,X0)),X1) = multiply(multiply(inverse(X0),sk_c2),X1)
| ~ spl0_7 ),
inference(superposition,[],[f293,f1596]) ).
fof(f2331,plain,
( ! [X0] : multiply(inverse(X0),sk_c2) = multiply(inverse(multiply(sk_c3,X0)),identity)
| ~ spl0_7 ),
inference(superposition,[],[f283,f1596]) ).
fof(f2381,plain,
( ! [X0,X1] : multiply(multiply(sk_c3,X0),multiply(inverse(X0),multiply(sk_c2,X1))) = X1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2330,f3]) ).
fof(f2330,plain,
( ! [X0,X1] : multiply(multiply(sk_c3,X0),multiply(multiply(inverse(X0),sk_c2),X1)) = X1
| ~ spl0_7 ),
inference(superposition,[],[f60,f1596]) ).
fof(f2349,plain,
( multiply(sk_c3,multiply(sk_c3,sk_c3)) = inverse(multiply(sk_c2,multiply(sk_c2,sk_c2)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2306,f3]) ).
fof(f2306,plain,
( multiply(sk_c3,multiply(sk_c3,sk_c3)) = inverse(multiply(multiply(sk_c2,sk_c2),sk_c2))
| ~ spl0_7 ),
inference(superposition,[],[f1596,f1958]) ).
fof(f2344,plain,
( ! [X0] : multiply(sk_c3,multiply(inverse(X0),sk_c2)) = inverse(multiply(sk_c3,multiply(X0,sk_c2)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2304,f3]) ).
fof(f2304,plain,
( ! [X0] : multiply(sk_c3,multiply(inverse(X0),sk_c2)) = inverse(multiply(multiply(sk_c3,X0),sk_c2))
| ~ spl0_7 ),
inference(superposition,[],[f1596,f1596]) ).
fof(f2343,plain,
( ! [X0] : multiply(sk_c3,multiply(X0,sk_c2)) = inverse(multiply(sk_c3,multiply(inverse(X0),sk_c2)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2303,f3]) ).
fof(f2303,plain,
( ! [X0] : multiply(sk_c3,multiply(X0,sk_c2)) = inverse(multiply(multiply(sk_c3,inverse(X0)),sk_c2))
| ~ spl0_7 ),
inference(superposition,[],[f1596,f1595]) ).
fof(f1596,plain,
( ! [X0] : multiply(sk_c3,X0) = inverse(multiply(inverse(X0),sk_c2))
| ~ spl0_7 ),
inference(superposition,[],[f1460,f812]) ).
fof(f2274,plain,
( ! [X0,X1] : multiply(X0,sk_c2) = multiply(inverse(multiply(X1,multiply(sk_c3,inverse(X0)))),X1)
| ~ spl0_7 ),
inference(superposition,[],[f1165,f1595]) ).
fof(f2273,plain,
( ! [X0,X1] : multiply(multiply(X1,multiply(sk_c3,inverse(X0))),multiply(X0,sk_c2)) = X1
| ~ spl0_7 ),
inference(superposition,[],[f986,f1595]) ).
fof(f2272,plain,
( ! [X0,X1] : multiply(multiply(X1,multiply(X0,sk_c2)),multiply(sk_c3,inverse(X0))) = X1
| ~ spl0_7 ),
inference(superposition,[],[f898,f1595]) ).
fof(f2301,plain,
( ! [X0,X1] : multiply(X0,sk_c2) = multiply(X1,inverse(multiply(sk_c3,multiply(inverse(X0),X1))))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2271,f3]) ).
fof(f2271,plain,
( ! [X0,X1] : multiply(X0,sk_c2) = multiply(X1,inverse(multiply(multiply(sk_c3,inverse(X0)),X1)))
| ~ spl0_7 ),
inference(superposition,[],[f812,f1595]) ).
fof(f2270,plain,
( ! [X0] : multiply(X0,sk_c2) = inverse(multiply(sk_c3,inverse(X0)))
| ~ spl0_7 ),
inference(superposition,[],[f469,f1595]) ).
fof(f2300,plain,
( ! [X0,X1] : multiply(multiply(X0,sk_c2),multiply(sk_c3,multiply(inverse(X0),X1))) = X1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2269,f3]) ).
fof(f2269,plain,
( ! [X0,X1] : multiply(multiply(X0,sk_c2),multiply(multiply(sk_c3,inverse(X0)),X1)) = X1
| ~ spl0_7 ),
inference(superposition,[],[f444,f1595]) ).
fof(f2299,plain,
( ! [X0] : identity = multiply(multiply(sk_c3,inverse(X0)),multiply(X0,sk_c2))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2267,f469]) ).
fof(f2267,plain,
( ! [X0] : identity = multiply(inverse(inverse(multiply(sk_c3,inverse(X0)))),multiply(X0,sk_c2))
| ~ spl0_7 ),
inference(superposition,[],[f401,f1595]) ).
fof(f2298,plain,
( ! [X0,X1] : multiply(inverse(multiply(sk_c3,inverse(X0))),X1) = multiply(X0,multiply(sk_c2,X1))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2266,f3]) ).
fof(f2266,plain,
( ! [X0,X1] : multiply(multiply(X0,sk_c2),X1) = multiply(inverse(multiply(sk_c3,inverse(X0))),X1)
| ~ spl0_7 ),
inference(superposition,[],[f293,f1595]) ).
fof(f2265,plain,
( ! [X0] : multiply(X0,sk_c2) = multiply(inverse(multiply(sk_c3,inverse(X0))),identity)
| ~ spl0_7 ),
inference(superposition,[],[f283,f1595]) ).
fof(f2297,plain,
( ! [X0,X1] : multiply(multiply(sk_c3,inverse(X0)),multiply(X0,multiply(sk_c2,X1))) = X1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2264,f3]) ).
fof(f2264,plain,
( ! [X0,X1] : multiply(multiply(sk_c3,inverse(X0)),multiply(multiply(X0,sk_c2),X1)) = X1
| ~ spl0_7 ),
inference(superposition,[],[f60,f1595]) ).
fof(f2253,plain,
( ! [X0,X1] : inverse(multiply(X0,multiply(X1,sk_c2))) = multiply(sk_c3,inverse(multiply(X0,X1)))
| ~ spl0_7 ),
inference(superposition,[],[f1595,f3]) ).
fof(f1595,plain,
( ! [X0] : inverse(multiply(X0,sk_c2)) = multiply(sk_c3,inverse(X0))
| ~ spl0_7 ),
inference(superposition,[],[f1460,f808]) ).
fof(f2161,plain,
( ! [X0] : multiply(sk_c2,X0) = inverse(multiply(inverse(X0),sk_c3))
| ~ spl0_7 ),
inference(superposition,[],[f986,f1976]) ).
fof(f2158,plain,
( ! [X0,X1] : multiply(sk_c2,X1) = multiply(inverse(multiply(X0,sk_c3)),multiply(X0,X1))
| ~ spl0_7 ),
inference(superposition,[],[f3,f1976]) ).
fof(f2154,plain,
( ! [X0] : inverse(multiply(X0,sk_c3)) = multiply(sk_c2,inverse(X0))
| ~ spl0_7 ),
inference(superposition,[],[f898,f1976]) ).
fof(f2146,plain,
( ! [X0,X1] : sk_c2 = multiply(inverse(multiply(X0,multiply(X1,sk_c3))),multiply(X0,X1))
| ~ spl0_7 ),
inference(superposition,[],[f1976,f3]) ).
fof(f1976,plain,
( ! [X0] : sk_c2 = multiply(inverse(multiply(X0,sk_c3)),X0)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1938,f469]) ).
fof(f1938,plain,
( ! [X0] : sk_c2 = multiply(inverse(multiply(X0,sk_c3)),inverse(inverse(X0)))
| ~ spl0_7 ),
inference(superposition,[],[f1767,f808]) ).
fof(f2118,plain,
( ! [X0] : multiply(sk_c3,sk_c3) = multiply(inverse(multiply(X0,multiply(sk_c2,sk_c2))),X0)
| ~ spl0_7 ),
inference(superposition,[],[f1165,f1958]) ).
fof(f2117,plain,
( ! [X0] : multiply(multiply(X0,multiply(sk_c2,sk_c2)),multiply(sk_c3,sk_c3)) = X0
| ~ spl0_7 ),
inference(superposition,[],[f986,f1958]) ).
fof(f2116,plain,
( ! [X0] : multiply(multiply(X0,multiply(sk_c3,sk_c3)),multiply(sk_c2,sk_c2)) = X0
| ~ spl0_7 ),
inference(superposition,[],[f898,f1958]) ).
fof(f2128,plain,
( ! [X0] : multiply(sk_c3,sk_c3) = multiply(X0,inverse(multiply(sk_c2,multiply(sk_c2,X0))))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2115,f3]) ).
fof(f2115,plain,
( ! [X0] : multiply(sk_c3,sk_c3) = multiply(X0,inverse(multiply(multiply(sk_c2,sk_c2),X0)))
| ~ spl0_7 ),
inference(superposition,[],[f812,f1958]) ).
fof(f2127,plain,
( ! [X0] : multiply(multiply(sk_c3,sk_c3),multiply(sk_c2,multiply(sk_c2,X0))) = X0
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2113,f3]) ).
fof(f2113,plain,
( ! [X0] : multiply(multiply(sk_c3,sk_c3),multiply(multiply(sk_c2,sk_c2),X0)) = X0
| ~ spl0_7 ),
inference(superposition,[],[f444,f1958]) ).
fof(f2112,plain,
( identity = multiply(multiply(sk_c3,sk_c3),multiply(sk_c2,sk_c2))
| ~ spl0_7 ),
inference(superposition,[],[f442,f1958]) ).
fof(f2126,plain,
( identity = multiply(multiply(sk_c2,sk_c2),multiply(sk_c3,sk_c3))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2111,f469]) ).
fof(f2111,plain,
( identity = multiply(inverse(inverse(multiply(sk_c2,sk_c2))),multiply(sk_c3,sk_c3))
| ~ spl0_7 ),
inference(superposition,[],[f401,f1958]) ).
fof(f2122,plain,
( ! [X0] : multiply(multiply(sk_c2,sk_c2),multiply(sk_c3,multiply(sk_c3,X0))) = X0
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2108,f3]) ).
fof(f2108,plain,
( ! [X0] : multiply(multiply(sk_c2,sk_c2),multiply(multiply(sk_c3,sk_c3),X0)) = X0
| ~ spl0_7 ),
inference(superposition,[],[f60,f1958]) ).
fof(f2107,plain,
( identity = multiply(multiply(sk_c2,sk_c2),multiply(sk_c3,sk_c3))
| ~ spl0_7 ),
inference(superposition,[],[f2,f1958]) ).
fof(f1958,plain,
( multiply(sk_c2,sk_c2) = inverse(multiply(sk_c3,sk_c3))
| ~ spl0_7 ),
inference(superposition,[],[f1465,f1767]) ).
fof(f2081,plain,
( ! [X0] : multiply(sk_c3,X0) = inverse(multiply(inverse(X0),sk_c2))
| ~ spl0_7 ),
inference(superposition,[],[f986,f1903]) ).
fof(f2078,plain,
( ! [X0,X1] : multiply(sk_c3,X1) = multiply(inverse(multiply(X0,sk_c2)),multiply(X0,X1))
| ~ spl0_7 ),
inference(superposition,[],[f3,f1903]) ).
fof(f2074,plain,
( ! [X0] : inverse(multiply(X0,sk_c2)) = multiply(sk_c3,inverse(X0))
| ~ spl0_7 ),
inference(superposition,[],[f898,f1903]) ).
fof(f2066,plain,
( ! [X0,X1] : sk_c3 = multiply(inverse(multiply(X0,multiply(X1,sk_c2))),multiply(X0,X1))
| ~ spl0_7 ),
inference(superposition,[],[f1903,f3]) ).
fof(f1903,plain,
( ! [X0] : sk_c3 = multiply(inverse(multiply(X0,sk_c2)),X0)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1867,f469]) ).
fof(f1867,plain,
( ! [X0] : sk_c3 = multiply(inverse(multiply(X0,sk_c2)),inverse(inverse(X0)))
| ~ spl0_7 ),
inference(superposition,[],[f1606,f808]) ).
fof(f2047,plain,
( ! [X0] : multiply(sk_c2,sk_c2) = multiply(inverse(multiply(X0,multiply(sk_c3,sk_c3))),X0)
| ~ spl0_7 ),
inference(superposition,[],[f1165,f1884]) ).
fof(f2046,plain,
( ! [X0] : multiply(multiply(X0,multiply(sk_c3,sk_c3)),multiply(sk_c2,sk_c2)) = X0
| ~ spl0_7 ),
inference(superposition,[],[f986,f1884]) ).
fof(f2045,plain,
( ! [X0] : multiply(multiply(X0,multiply(sk_c2,sk_c2)),multiply(sk_c3,sk_c3)) = X0
| ~ spl0_7 ),
inference(superposition,[],[f898,f1884]) ).
fof(f2055,plain,
( ! [X0] : multiply(sk_c2,sk_c2) = multiply(X0,inverse(multiply(sk_c3,multiply(sk_c3,X0))))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2044,f3]) ).
fof(f2044,plain,
( ! [X0] : multiply(sk_c2,sk_c2) = multiply(X0,inverse(multiply(multiply(sk_c3,sk_c3),X0)))
| ~ spl0_7 ),
inference(superposition,[],[f812,f1884]) ).
fof(f2043,plain,
( multiply(sk_c2,sk_c2) = inverse(multiply(sk_c3,sk_c3))
| ~ spl0_7 ),
inference(superposition,[],[f469,f1884]) ).
fof(f2054,plain,
( ! [X0] : multiply(multiply(sk_c2,sk_c2),multiply(sk_c3,multiply(sk_c3,X0))) = X0
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2042,f3]) ).
fof(f2042,plain,
( ! [X0] : multiply(multiply(sk_c2,sk_c2),multiply(multiply(sk_c3,sk_c3),X0)) = X0
| ~ spl0_7 ),
inference(superposition,[],[f444,f1884]) ).
fof(f2053,plain,
( identity = multiply(multiply(sk_c3,sk_c3),multiply(sk_c2,sk_c2))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2040,f469]) ).
fof(f2040,plain,
( identity = multiply(inverse(inverse(multiply(sk_c3,sk_c3))),multiply(sk_c2,sk_c2))
| ~ spl0_7 ),
inference(superposition,[],[f401,f1884]) ).
fof(f2052,plain,
( ! [X0] : multiply(inverse(multiply(sk_c3,sk_c3)),X0) = multiply(sk_c2,multiply(sk_c2,X0))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2039,f3]) ).
fof(f2039,plain,
( ! [X0] : multiply(multiply(sk_c2,sk_c2),X0) = multiply(inverse(multiply(sk_c3,sk_c3)),X0)
| ~ spl0_7 ),
inference(superposition,[],[f293,f1884]) ).
fof(f2038,plain,
( multiply(sk_c2,sk_c2) = multiply(inverse(multiply(sk_c3,sk_c3)),identity)
| ~ spl0_7 ),
inference(superposition,[],[f283,f1884]) ).
fof(f2051,plain,
( ! [X0] : multiply(multiply(sk_c3,sk_c3),multiply(sk_c2,multiply(sk_c2,X0))) = X0
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2037,f3]) ).
fof(f2037,plain,
( ! [X0] : multiply(multiply(sk_c3,sk_c3),multiply(multiply(sk_c2,sk_c2),X0)) = X0
| ~ spl0_7 ),
inference(superposition,[],[f60,f1884]) ).
fof(f1884,plain,
( inverse(multiply(sk_c2,sk_c2)) = multiply(sk_c3,sk_c3)
| ~ spl0_7 ),
inference(superposition,[],[f1460,f1606]) ).
fof(f1968,plain,
( ! [X0,X1] : sk_c2 = multiply(X0,multiply(X1,inverse(multiply(sk_c3,multiply(X0,X1)))))
| ~ spl0_7 ),
inference(superposition,[],[f3,f1767]) ).
fof(f1964,plain,
( ! [X0,X1] : multiply(sk_c2,X1) = multiply(X0,multiply(inverse(multiply(sk_c3,X0)),X1))
| ~ spl0_7 ),
inference(superposition,[],[f3,f1767]) ).
fof(f1946,plain,
( ! [X0,X1] : sk_c2 = multiply(X0,multiply(X1,inverse(multiply(sk_c3,multiply(X0,X1)))))
| ~ spl0_7 ),
inference(superposition,[],[f1767,f3]) ).
fof(f1980,plain,
( sk_c2 = multiply(inverse(multiply(sk_c3,sk_c3)),sk_c3)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1941,f159]) ).
fof(f1941,plain,
( sk_c2 = multiply(inverse(multiply(sk_c3,sk_c3)),inverse(sk_c2))
| ~ spl0_7 ),
inference(superposition,[],[f1767,f1767]) ).
fof(f1939,plain,
( ! [X0] : sk_c2 = multiply(inverse(multiply(inverse(X0),sk_c3)),inverse(X0))
| ~ spl0_7 ),
inference(superposition,[],[f1767,f812]) ).
fof(f1767,plain,
( ! [X0] : sk_c2 = multiply(X0,inverse(multiply(sk_c3,X0)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1754,f443]) ).
fof(f1754,plain,
( ! [X0] : multiply(X0,inverse(multiply(sk_c3,X0))) = multiply(sk_c2,identity)
| ~ spl0_7 ),
inference(superposition,[],[f1465,f539]) ).
fof(f1895,plain,
( ! [X0,X1] : sk_c3 = multiply(X0,multiply(X1,inverse(multiply(sk_c2,multiply(X0,X1)))))
| ~ spl0_7 ),
inference(superposition,[],[f3,f1606]) ).
fof(f1891,plain,
( ! [X0,X1] : multiply(sk_c3,X1) = multiply(X0,multiply(inverse(multiply(sk_c2,X0)),X1))
| ~ spl0_7 ),
inference(superposition,[],[f3,f1606]) ).
fof(f1874,plain,
( ! [X0,X1] : sk_c3 = multiply(X0,multiply(X1,inverse(multiply(sk_c2,multiply(X0,X1)))))
| ~ spl0_7 ),
inference(superposition,[],[f1606,f3]) ).
fof(f1904,plain,
( sk_c3 = multiply(inverse(multiply(sk_c2,sk_c2)),sk_c2)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1869,f1466]) ).
fof(f1869,plain,
( sk_c3 = multiply(inverse(multiply(sk_c2,sk_c2)),inverse(sk_c3))
| ~ spl0_7 ),
inference(superposition,[],[f1606,f1606]) ).
fof(f1868,plain,
( ! [X0] : sk_c3 = multiply(inverse(multiply(inverse(X0),sk_c2)),inverse(X0))
| ~ spl0_7 ),
inference(superposition,[],[f1606,f812]) ).
fof(f1606,plain,
( ! [X0] : sk_c3 = multiply(X0,inverse(multiply(sk_c2,X0)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1593,f443]) ).
fof(f1593,plain,
( ! [X0] : multiply(X0,inverse(multiply(sk_c2,X0))) = multiply(sk_c3,identity)
| ~ spl0_7 ),
inference(superposition,[],[f1460,f539]) ).
fof(f1833,plain,
( ! [X0,X1] : multiply(X0,X1) = multiply(multiply(X0,sk_c3),multiply(sk_c2,X1))
| ~ spl0_7 ),
inference(superposition,[],[f3,f1512]) ).
fof(f1832,plain,
( ! [X0] : sk_c2 = multiply(inverse(multiply(X0,sk_c3)),X0)
| ~ spl0_7 ),
inference(superposition,[],[f60,f1512]) ).
fof(f1831,plain,
( ! [X0] : identity = multiply(multiply(X0,sk_c3),multiply(sk_c2,inverse(X0)))
| ~ spl0_7 ),
inference(superposition,[],[f539,f1512]) ).
fof(f1830,plain,
( ! [X0] : inverse(multiply(X0,sk_c3)) = multiply(sk_c2,inverse(X0))
| ~ spl0_7 ),
inference(superposition,[],[f808,f1512]) ).
fof(f1826,plain,
( ! [X0,X1] : multiply(X0,X1) = multiply(multiply(X0,multiply(X1,sk_c3)),sk_c2)
| ~ spl0_7 ),
inference(superposition,[],[f1512,f3]) ).
fof(f1823,plain,
( ! [X0] : multiply(X0,sk_c2) = inverse(multiply(sk_c3,inverse(X0)))
| ~ spl0_7 ),
inference(superposition,[],[f1512,f1165]) ).
fof(f1822,plain,
( ! [X0] : inverse(multiply(sk_c3,X0)) = multiply(inverse(X0),sk_c2)
| ~ spl0_7 ),
inference(superposition,[],[f1512,f904]) ).
fof(f1512,plain,
( ! [X0] : multiply(multiply(X0,sk_c3),sk_c2) = X0
| ~ spl0_7 ),
inference(superposition,[],[f898,f1466]) ).
fof(f1803,plain,
( ! [X0,X1] : multiply(X0,X1) = multiply(multiply(X0,sk_c2),multiply(sk_c3,X1))
| ~ spl0_7 ),
inference(superposition,[],[f3,f1468]) ).
fof(f1802,plain,
( ! [X0] : sk_c3 = multiply(inverse(multiply(X0,sk_c2)),X0)
| ~ spl0_7 ),
inference(superposition,[],[f60,f1468]) ).
fof(f1801,plain,
( ! [X0] : identity = multiply(multiply(X0,sk_c2),multiply(sk_c3,inverse(X0)))
| ~ spl0_7 ),
inference(superposition,[],[f539,f1468]) ).
fof(f1800,plain,
( ! [X0] : inverse(multiply(X0,sk_c2)) = multiply(sk_c3,inverse(X0))
| ~ spl0_7 ),
inference(superposition,[],[f808,f1468]) ).
fof(f1796,plain,
( ! [X0,X1] : multiply(X0,X1) = multiply(multiply(X0,multiply(X1,sk_c2)),sk_c3)
| ~ spl0_7 ),
inference(superposition,[],[f1468,f3]) ).
fof(f1793,plain,
( ! [X0] : multiply(X0,sk_c3) = inverse(multiply(sk_c2,inverse(X0)))
| ~ spl0_7 ),
inference(superposition,[],[f1468,f1165]) ).
fof(f1792,plain,
( ! [X0] : inverse(multiply(sk_c2,X0)) = multiply(inverse(X0),sk_c3)
| ~ spl0_7 ),
inference(superposition,[],[f1468,f904]) ).
fof(f1468,plain,
( ! [X0] : multiply(multiply(X0,sk_c2),sk_c3) = X0
| ~ spl0_7 ),
inference(superposition,[],[f898,f159]) ).
fof(f1762,plain,
( ! [X0] : sk_c2 = multiply(X0,inverse(multiply(sk_c3,X0)))
| ~ spl0_7 ),
inference(superposition,[],[f898,f1465]) ).
fof(f1761,plain,
( ! [X0] : inverse(multiply(sk_c3,X0)) = multiply(inverse(X0),sk_c2)
| ~ spl0_7 ),
inference(superposition,[],[f904,f1465]) ).
fof(f1465,plain,
( ! [X0] : multiply(sk_c2,multiply(sk_c3,X0)) = X0
| ~ spl0_7 ),
inference(superposition,[],[f444,f159]) ).
fof(f1601,plain,
( ! [X0] : sk_c3 = multiply(X0,inverse(multiply(sk_c2,X0)))
| ~ spl0_7 ),
inference(superposition,[],[f898,f1460]) ).
fof(f1600,plain,
( ! [X0] : inverse(multiply(sk_c2,X0)) = multiply(inverse(X0),sk_c3)
| ~ spl0_7 ),
inference(superposition,[],[f904,f1460]) ).
fof(f1460,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c2,X0)) = X0
| ~ spl0_7 ),
inference(superposition,[],[f60,f159]) ).
fof(f1581,plain,
( ! [X0] : multiply(sk_c2,multiply(sk_c3,X0)) = X0
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1572,f1]) ).
fof(f1572,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c2,multiply(sk_c3,X0))
| ~ spl0_7 ),
inference(superposition,[],[f3,f1464]) ).
fof(f1464,plain,
( identity = multiply(sk_c2,sk_c3)
| ~ spl0_7 ),
inference(superposition,[],[f442,f159]) ).
fof(f1532,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c2,X0)) = X0
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1523,f1]) ).
fof(f1523,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c3,multiply(sk_c2,X0))
| ~ spl0_7 ),
inference(superposition,[],[f3,f1459]) ).
fof(f1459,plain,
( identity = multiply(sk_c3,sk_c2)
| ~ spl0_7 ),
inference(superposition,[],[f2,f159]) ).
fof(f1514,plain,
( ! [X0] : sk_c3 = multiply(inverse(multiply(X0,sk_c2)),X0)
| ~ spl0_7 ),
inference(superposition,[],[f1165,f1466]) ).
fof(f1513,plain,
( ! [X0] : multiply(multiply(X0,sk_c2),sk_c3) = X0
| ~ spl0_7 ),
inference(superposition,[],[f986,f1466]) ).
fof(f1511,plain,
( ! [X0] : sk_c3 = multiply(X0,inverse(multiply(sk_c2,X0)))
| ~ spl0_7 ),
inference(superposition,[],[f812,f1466]) ).
fof(f1509,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c2,X0)) = X0
| ~ spl0_7 ),
inference(superposition,[],[f444,f1466]) ).
fof(f1508,plain,
( identity = multiply(sk_c3,sk_c2)
| ~ spl0_7 ),
inference(superposition,[],[f442,f1466]) ).
fof(f1516,plain,
( identity = multiply(sk_c2,sk_c3)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1507,f469]) ).
fof(f1507,plain,
( identity = multiply(inverse(inverse(sk_c2)),sk_c3)
| ~ spl0_7 ),
inference(superposition,[],[f401,f1466]) ).
fof(f1504,plain,
( ! [X0] : multiply(sk_c2,multiply(sk_c3,X0)) = X0
| ~ spl0_7 ),
inference(superposition,[],[f60,f1466]) ).
fof(f1503,plain,
( identity = multiply(sk_c2,sk_c3)
| ~ spl0_7 ),
inference(superposition,[],[f2,f1466]) ).
fof(f1470,plain,
( ! [X0] : sk_c2 = multiply(inverse(multiply(X0,sk_c3)),X0)
| ~ spl0_7 ),
inference(superposition,[],[f1165,f159]) ).
fof(f1469,plain,
( ! [X0] : multiply(multiply(X0,sk_c3),sk_c2) = X0
| ~ spl0_7 ),
inference(superposition,[],[f986,f159]) ).
fof(f1467,plain,
( ! [X0] : sk_c2 = multiply(X0,inverse(multiply(sk_c3,X0)))
| ~ spl0_7 ),
inference(superposition,[],[f812,f159]) ).
fof(f1471,plain,
( identity = multiply(sk_c3,sk_c2)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1463,f469]) ).
fof(f1463,plain,
( identity = multiply(inverse(inverse(sk_c3)),sk_c2)
| ~ spl0_7 ),
inference(superposition,[],[f401,f159]) ).
fof(f1462,plain,
( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(sk_c3),X0)
| ~ spl0_7 ),
inference(superposition,[],[f293,f159]) ).
fof(f1461,plain,
( sk_c2 = multiply(inverse(sk_c3),identity)
| ~ spl0_7 ),
inference(superposition,[],[f283,f159]) ).
fof(f4827,plain,
( sk_c9 = sk_c6
| identity = multiply(sk_c2,sk_c3)
| ~ spl0_13 ),
inference(forward_demodulation,[],[f4826,f443]) ).
fof(f4826,plain,
( sk_c9 = multiply(sk_c6,identity)
| identity = multiply(sk_c2,sk_c3)
| ~ spl0_13 ),
inference(forward_demodulation,[],[f4825,f4107]) ).
fof(f4825,plain,
( identity = multiply(sk_c2,sk_c3)
| sk_c9 = multiply(sk_c6,sk_c8)
| ~ spl0_13 ),
inference(forward_demodulation,[],[f13,f4107]) ).
fof(f159,plain,
( sk_c3 = inverse(sk_c2)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f157]) ).
fof(f157,plain,
( spl0_7
<=> sk_c3 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f6373,plain,
( identity != inverse(sk_c3)
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16 ),
inference(forward_demodulation,[],[f6372,f159]) ).
fof(f6372,plain,
( identity != inverse(inverse(sk_c2))
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16 ),
inference(forward_demodulation,[],[f6371,f1]) ).
fof(f6371,plain,
( identity != inverse(inverse(multiply(identity,sk_c2)))
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16 ),
inference(subsumption_resolution,[],[f6350,f6190]) ).
fof(f6350,plain,
( identity != sk_c3
| identity != inverse(inverse(multiply(identity,sk_c2)))
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f1358,f5266]) ).
fof(f5266,plain,
( ! [X0] : sk_c3 = multiply(inverse(multiply(X0,sk_c2)),X0)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f5231,f469]) ).
fof(f5231,plain,
( ! [X0] : sk_c3 = multiply(inverse(multiply(X0,sk_c2)),inverse(inverse(X0)))
| ~ spl0_7 ),
inference(superposition,[],[f5037,f808]) ).
fof(f5037,plain,
( ! [X0] : sk_c3 = multiply(X0,inverse(multiply(sk_c2,X0)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f5024,f443]) ).
fof(f5024,plain,
( ! [X0] : multiply(X0,inverse(multiply(sk_c2,X0))) = multiply(sk_c3,identity)
| ~ spl0_7 ),
inference(superposition,[],[f4601,f539]) ).
fof(f1358,plain,
( ! [X9] :
( identity != multiply(X9,identity)
| identity != inverse(X9) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f1357]) ).
fof(f1357,plain,
( spl0_9
<=> ! [X9] :
( identity != inverse(X9)
| identity != multiply(X9,identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f6364,plain,
~ spl0_9,
inference(avatar_contradiction_clause,[],[f6363]) ).
fof(f6363,plain,
( $false
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f6362,f469]) ).
fof(f6362,plain,
( identity != inverse(inverse(identity))
| ~ spl0_9 ),
inference(forward_demodulation,[],[f6354,f469]) ).
fof(f6354,plain,
( identity != inverse(inverse(inverse(inverse(identity))))
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f6347]) ).
fof(f6347,plain,
( identity != identity
| identity != inverse(inverse(inverse(inverse(identity))))
| ~ spl0_9 ),
inference(superposition,[],[f1358,f401]) ).
fof(f6361,plain,
~ spl0_9,
inference(avatar_contradiction_clause,[],[f6360]) ).
fof(f6360,plain,
( $false
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f6355,f469]) ).
fof(f6355,plain,
( identity != inverse(inverse(identity))
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f6346]) ).
fof(f6346,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl0_9 ),
inference(superposition,[],[f1358,f2]) ).
fof(f6359,plain,
~ spl0_9,
inference(avatar_contradiction_clause,[],[f6358]) ).
fof(f6358,plain,
( $false
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f6356,f416]) ).
fof(f6356,plain,
( identity != inverse(identity)
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f6345]) ).
fof(f6345,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl0_9 ),
inference(superposition,[],[f1358,f1]) ).
fof(f6320,plain,
( spl0_8
| ~ spl0_4
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f4431,f1644,f141,f1354]) ).
fof(f1354,plain,
( spl0_8
<=> ! [X4] : identity != multiply(inverse(X4),identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f141,plain,
( spl0_4
<=> ! [X4] :
( sk_c9 != multiply(X4,inverse(X4))
| sk_c9 != multiply(inverse(X4),sk_c9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f4431,plain,
( ! [X4] : identity != multiply(inverse(X4),identity)
| ~ spl0_4
| ~ spl0_12 ),
inference(forward_demodulation,[],[f4430,f1646]) ).
fof(f4430,plain,
( ! [X4] : sk_c9 != multiply(inverse(X4),sk_c9)
| ~ spl0_4
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f4429,f1646]) ).
fof(f4429,plain,
( ! [X4] :
( identity != sk_c9
| sk_c9 != multiply(inverse(X4),sk_c9) )
| ~ spl0_4 ),
inference(forward_demodulation,[],[f142,f442]) ).
fof(f142,plain,
( ! [X4] :
( sk_c9 != multiply(X4,inverse(X4))
| sk_c9 != multiply(inverse(X4),sk_c9) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f6299,plain,
( spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f6298]) ).
fof(f6298,plain,
( $false
| spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16 ),
inference(subsumption_resolution,[],[f6274,f6190]) ).
fof(f6274,plain,
( identity != sk_c3
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f1355,f5266]) ).
fof(f1355,plain,
( ! [X4] : identity != multiply(inverse(X4),identity)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f1354]) ).
fof(f6297,plain,
( spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f6296]) ).
fof(f6296,plain,
( $false
| spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16 ),
inference(subsumption_resolution,[],[f6295,f1]) ).
fof(f6295,plain,
( identity != multiply(identity,identity)
| spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16 ),
inference(forward_demodulation,[],[f6267,f6179]) ).
fof(f6267,plain,
( identity != multiply(sk_c2,identity)
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f1355,f1466]) ).
fof(f6294,plain,
( spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f6293]) ).
fof(f6293,plain,
( $false
| spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16 ),
inference(subsumption_resolution,[],[f6292,f1]) ).
fof(f6292,plain,
( identity != multiply(identity,identity)
| spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16 ),
inference(forward_demodulation,[],[f6266,f6190]) ).
fof(f6266,plain,
( identity != multiply(sk_c3,identity)
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f1355,f159]) ).
fof(f6291,plain,
( ~ spl0_1
| spl0_6
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f6290]) ).
fof(f6290,plain,
( $false
| ~ spl0_1
| spl0_6
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f6289,f1]) ).
fof(f6289,plain,
( identity != multiply(identity,identity)
| ~ spl0_1
| spl0_6
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f6265,f6164]) ).
fof(f6265,plain,
( identity != multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_8 ),
inference(superposition,[],[f1355,f508]) ).
fof(f6288,plain,
( ~ spl0_1
| ~ spl0_8
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f6287]) ).
fof(f6287,plain,
( $false
| ~ spl0_1
| ~ spl0_8
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f6286,f1]) ).
fof(f6286,plain,
( identity != multiply(identity,identity)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f6264,f1646]) ).
fof(f6264,plain,
( identity != multiply(sk_c9,identity)
| ~ spl0_1
| ~ spl0_8 ),
inference(superposition,[],[f1355,f42]) ).
fof(f6285,plain,
( spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f6284]) ).
fof(f6284,plain,
( $false
| spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16 ),
inference(subsumption_resolution,[],[f6283,f1]) ).
fof(f6283,plain,
( identity != multiply(identity,identity)
| spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16 ),
inference(forward_demodulation,[],[f6282,f1]) ).
fof(f6282,plain,
( identity != multiply(multiply(identity,identity),identity)
| spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16 ),
inference(forward_demodulation,[],[f6262,f6190]) ).
fof(f6262,plain,
( identity != multiply(multiply(sk_c3,sk_c3),identity)
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f1355,f5246]) ).
fof(f5246,plain,
( inverse(multiply(sk_c2,sk_c2)) = multiply(sk_c3,sk_c3)
| ~ spl0_7 ),
inference(superposition,[],[f4601,f5037]) ).
fof(f6281,plain,
~ spl0_8,
inference(avatar_contradiction_clause,[],[f6280]) ).
fof(f6280,plain,
( $false
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f6261,f1]) ).
fof(f6261,plain,
( identity != multiply(identity,identity)
| ~ spl0_8 ),
inference(superposition,[],[f1355,f416]) ).
fof(f6279,plain,
~ spl0_8,
inference(avatar_contradiction_clause,[],[f6278]) ).
fof(f6278,plain,
( $false
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f6270]) ).
fof(f6270,plain,
( identity != identity
| ~ spl0_8 ),
inference(superposition,[],[f1355,f2]) ).
fof(f6277,plain,
~ spl0_8,
inference(avatar_contradiction_clause,[],[f6276]) ).
fof(f6276,plain,
( $false
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f6271]) ).
fof(f6271,plain,
( identity != identity
| ~ spl0_8 ),
inference(superposition,[],[f1355,f401]) ).
fof(f6133,plain,
( spl0_6
| ~ spl0_7
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f6132]) ).
fof(f6132,plain,
( $false
| spl0_6
| ~ spl0_7
| spl0_13 ),
inference(subsumption_resolution,[],[f6131,f4106]) ).
fof(f6131,plain,
( identity = sk_c8
| spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f6126,f2]) ).
fof(f6126,plain,
( sk_c8 = multiply(inverse(sk_c3),sk_c3)
| spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f60,f6100]) ).
fof(f6100,plain,
( sk_c3 = multiply(sk_c3,sk_c8)
| spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f6095,f159]) ).
fof(f6095,plain,
( sk_c3 = multiply(inverse(sk_c2),sk_c8)
| spl0_6 ),
inference(superposition,[],[f60,f5881]) ).
fof(f5881,plain,
( sk_c8 = multiply(sk_c2,sk_c3)
| spl0_6 ),
inference(global_subsumption,[],[f1,f2,f4,f3,f38,f6,f7,f19,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1426,f16,f32,f8,f12,f20,f24,f28,f29,f25,f18,f5,f33,f17,f13,f9,f21,f34,f35,f154,f11,f15,f23,f27,f31,f10,f22,f1427,f26,f5876,f30,f5878,f14]) ).
fof(f5878,plain,
( sk_c5 = multiply(sk_c4,sk_c9)
| spl0_6 ),
inference(global_subsumption,[],[f1,f2,f4,f3,f38,f6,f7,f19,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1426,f16,f32,f8,f12,f20,f24,f28,f29,f25,f18,f5,f33,f17,f13,f9,f21,f34,f35,f154,f11,f15,f23,f27,f31,f10,f22,f14,f1427,f26,f5876,f30]) ).
fof(f5876,plain,
( sk_c8 = multiply(sk_c9,sk_c5)
| spl0_6 ),
inference(global_subsumption,[],[f1,f2,f4,f3,f38,f6,f7,f19,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1426,f16,f32,f8,f12,f20,f24,f28,f29,f25,f18,f5,f33,f17,f13,f9,f21,f34,f35,f154,f11,f15,f23,f27,f31,f10,f22,f14,f30,f1427,f26]) ).
fof(f6082,plain,
( ~ spl0_1
| spl0_6
| ~ spl0_7
| ~ spl0_11
| spl0_12
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f6081]) ).
fof(f6081,plain,
( $false
| ~ spl0_1
| spl0_6
| ~ spl0_7
| ~ spl0_11
| spl0_12
| ~ spl0_16 ),
inference(subsumption_resolution,[],[f6080,f1645]) ).
fof(f1645,plain,
( identity != sk_c9
| spl0_12 ),
inference(avatar_component_clause,[],[f1644]) ).
fof(f6080,plain,
( identity = sk_c9
| ~ spl0_1
| spl0_6
| ~ spl0_7
| ~ spl0_11
| ~ spl0_16 ),
inference(forward_demodulation,[],[f6072,f2]) ).
fof(f6072,plain,
( sk_c9 = multiply(inverse(sk_c9),sk_c9)
| ~ spl0_1
| spl0_6
| ~ spl0_7
| ~ spl0_11
| ~ spl0_16 ),
inference(superposition,[],[f60,f6063]) ).
fof(f6063,plain,
( sk_c9 = multiply(sk_c9,sk_c9)
| ~ spl0_1
| spl0_6
| ~ spl0_7
| ~ spl0_11
| ~ spl0_16 ),
inference(forward_demodulation,[],[f6062,f6058]) ).
fof(f6058,plain,
( sk_c9 = sk_c8
| ~ spl0_1
| spl0_6
| ~ spl0_7
| ~ spl0_11
| ~ spl0_16 ),
inference(forward_demodulation,[],[f6057,f5883]) ).
fof(f5883,plain,
( sk_c9 = multiply(sk_c1,sk_c8)
| spl0_6 ),
inference(global_subsumption,[],[f1,f2,f4,f3,f38,f6,f7,f19,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1426,f16,f32,f8,f12,f20,f24,f28,f29,f25,f18,f5,f33,f17,f13,f9,f21,f34,f35,f154,f11,f15,f23,f27,f31,f1427,f26,f5876,f30,f5878,f14,f5881,f22,f5882,f10]) ).
fof(f5882,plain,
( sk_c8 = multiply(sk_c3,sk_c9)
| spl0_6 ),
inference(global_subsumption,[],[f1,f2,f4,f3,f38,f6,f7,f19,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1426,f16,f32,f8,f12,f20,f24,f28,f29,f25,f18,f5,f33,f17,f13,f9,f21,f34,f35,f154,f11,f15,f23,f27,f31,f10,f1427,f26,f5876,f30,f5878,f14,f5881,f22]) ).
fof(f6057,plain,
( sk_c8 = multiply(sk_c1,sk_c8)
| ~ spl0_1
| spl0_6
| ~ spl0_7
| ~ spl0_11
| ~ spl0_16 ),
inference(forward_demodulation,[],[f6001,f6023]) ).
fof(f6023,plain,
( sk_c8 = sk_c5
| ~ spl0_1
| spl0_6
| ~ spl0_7
| ~ spl0_11
| ~ spl0_16 ),
inference(superposition,[],[f5947,f5941]) ).
fof(f5941,plain,
( sk_c5 = multiply(sk_c1,sk_c9)
| ~ spl0_1
| spl0_6
| ~ spl0_11 ),
inference(forward_demodulation,[],[f5878,f4657]) ).
fof(f5947,plain,
( sk_c8 = multiply(sk_c1,sk_c9)
| ~ spl0_1
| spl0_6
| ~ spl0_7
| ~ spl0_16 ),
inference(forward_demodulation,[],[f5946,f5724]) ).
fof(f5724,plain,
( sk_c1 = sk_c2
| ~ spl0_7
| ~ spl0_16 ),
inference(forward_demodulation,[],[f5723,f443]) ).
fof(f5723,plain,
( sk_c2 = multiply(sk_c1,identity)
| ~ spl0_7
| ~ spl0_16 ),
inference(forward_demodulation,[],[f5722,f416]) ).
fof(f5722,plain,
( sk_c2 = multiply(sk_c1,inverse(identity))
| ~ spl0_7
| ~ spl0_16 ),
inference(forward_demodulation,[],[f5706,f1466]) ).
fof(f5706,plain,
( multiply(sk_c1,inverse(identity)) = inverse(sk_c3)
| ~ spl0_16 ),
inference(superposition,[],[f808,f5697]) ).
fof(f5946,plain,
( sk_c8 = multiply(sk_c2,sk_c9)
| ~ spl0_1
| spl0_6
| ~ spl0_16 ),
inference(forward_demodulation,[],[f5881,f5717]) ).
fof(f5717,plain,
( sk_c9 = sk_c3
| ~ spl0_1
| ~ spl0_16 ),
inference(forward_demodulation,[],[f5716,f42]) ).
fof(f5716,plain,
( inverse(sk_c1) = sk_c3
| ~ spl0_16 ),
inference(forward_demodulation,[],[f5715,f1]) ).
fof(f5715,plain,
( inverse(sk_c1) = multiply(identity,sk_c3)
| ~ spl0_16 ),
inference(forward_demodulation,[],[f5704,f416]) ).
fof(f5704,plain,
( inverse(sk_c1) = multiply(inverse(identity),sk_c3)
| ~ spl0_16 ),
inference(superposition,[],[f904,f5697]) ).
fof(f6001,plain,
( multiply(sk_c1,sk_c8) = sk_c5
| ~ spl0_1
| spl0_6 ),
inference(forward_demodulation,[],[f5998,f508]) ).
fof(f5998,plain,
( sk_c5 = multiply(inverse(sk_c9),sk_c8)
| spl0_6 ),
inference(superposition,[],[f60,f5876]) ).
fof(f6062,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl0_1
| spl0_6
| ~ spl0_7
| ~ spl0_11
| ~ spl0_16 ),
inference(forward_demodulation,[],[f6022,f6023]) ).
fof(f6022,plain,
( sk_c9 = multiply(sk_c9,sk_c5)
| ~ spl0_1
| spl0_6
| ~ spl0_11 ),
inference(forward_demodulation,[],[f6017,f42]) ).
fof(f6017,plain,
( sk_c9 = multiply(inverse(sk_c1),sk_c5)
| ~ spl0_1
| spl0_6
| ~ spl0_11 ),
inference(superposition,[],[f60,f5941]) ).
fof(f6077,plain,
( ~ spl0_1
| spl0_6
| ~ spl0_7
| ~ spl0_11
| spl0_12
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f6076]) ).
fof(f6076,plain,
( $false
| ~ spl0_1
| spl0_6
| ~ spl0_7
| ~ spl0_11
| spl0_12
| ~ spl0_16 ),
inference(subsumption_resolution,[],[f6075,f1645]) ).
fof(f6075,plain,
( identity = sk_c9
| ~ spl0_1
| spl0_6
| ~ spl0_7
| ~ spl0_11
| ~ spl0_16 ),
inference(forward_demodulation,[],[f6069,f442]) ).
fof(f6069,plain,
( sk_c9 = multiply(sk_c9,inverse(sk_c9))
| ~ spl0_1
| spl0_6
| ~ spl0_7
| ~ spl0_11
| ~ spl0_16 ),
inference(superposition,[],[f898,f6063]) ).
fof(f5972,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_6
| ~ spl0_11
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f5971]) ).
fof(f5971,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_6
| ~ spl0_11
| spl0_12 ),
inference(subsumption_resolution,[],[f5970,f1645]) ).
fof(f5970,plain,
( identity = sk_c9
| ~ spl0_1
| ~ spl0_2
| spl0_6
| ~ spl0_11 ),
inference(forward_demodulation,[],[f5965,f416]) ).
fof(f5965,plain,
( sk_c9 = inverse(identity)
| ~ spl0_1
| ~ spl0_2
| spl0_6
| ~ spl0_11 ),
inference(superposition,[],[f42,f5961]) ).
fof(f5961,plain,
( identity = sk_c1
| ~ spl0_1
| ~ spl0_2
| spl0_6
| ~ spl0_11 ),
inference(forward_demodulation,[],[f5955,f442]) ).
fof(f5955,plain,
( sk_c1 = multiply(sk_c9,inverse(sk_c9))
| ~ spl0_1
| ~ spl0_2
| spl0_6
| ~ spl0_11 ),
inference(superposition,[],[f898,f5940]) ).
fof(f5940,plain,
( sk_c9 = multiply(sk_c1,sk_c9)
| ~ spl0_1
| ~ spl0_2
| spl0_6
| ~ spl0_11 ),
inference(forward_demodulation,[],[f5939,f5936]) ).
fof(f5936,plain,
( sk_c9 = sk_c5
| ~ spl0_1
| ~ spl0_2
| spl0_6 ),
inference(forward_demodulation,[],[f5935,f5854]) ).
fof(f5854,plain,
( sk_c9 = multiply(sk_c1,sk_c8)
| ~ spl0_1
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f5853]) ).
fof(f5853,plain,
( sk_c9 = multiply(sk_c1,sk_c8)
| sk_c9 = multiply(sk_c1,sk_c8)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f9,f1486]) ).
fof(f1486,plain,
( sk_c1 = sk_c6
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f509,f508]) ).
fof(f509,plain,
( sk_c6 = inverse(sk_c9)
| ~ spl0_2 ),
inference(superposition,[],[f469,f46]) ).
fof(f46,plain,
( sk_c9 = inverse(sk_c6)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f5935,plain,
( multiply(sk_c1,sk_c8) = sk_c5
| ~ spl0_1
| ~ spl0_2
| spl0_6 ),
inference(forward_demodulation,[],[f5932,f508]) ).
fof(f5932,plain,
( sk_c5 = multiply(inverse(sk_c9),sk_c8)
| ~ spl0_1
| ~ spl0_2
| spl0_6 ),
inference(superposition,[],[f60,f5875]) ).
fof(f5875,plain,
( sk_c8 = multiply(sk_c9,sk_c5)
| ~ spl0_1
| ~ spl0_2
| spl0_6 ),
inference(global_subsumption,[],[f5867,f1,f2,f4,f3,f38,f6,f7,f19,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1426,f16,f32,f8,f12,f20,f24,f28,f29,f25,f18,f5,f33,f17,f13,f9,f21,f34,f35,f154,f11,f15,f23,f27,f31,f10,f22,f14,f30,f26,f1427]) ).
fof(f5867,plain,
( sk_c9 = multiply(sk_c1,sk_c8)
| sk_c8 = multiply(sk_c9,sk_c5)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f25,f1486]) ).
fof(f5939,plain,
( sk_c5 = multiply(sk_c1,sk_c9)
| ~ spl0_1
| ~ spl0_2
| spl0_6
| ~ spl0_11 ),
inference(forward_demodulation,[],[f5877,f4657]) ).
fof(f5877,plain,
( sk_c5 = multiply(sk_c4,sk_c9)
| ~ spl0_1
| ~ spl0_2
| spl0_6 ),
inference(global_subsumption,[],[f5862,f1,f2,f4,f3,f38,f6,f7,f19,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1426,f16,f32,f8,f12,f20,f24,f28,f29,f25,f18,f5,f33,f17,f13,f9,f21,f34,f35,f154,f11,f15,f23,f27,f31,f10,f22,f14,f30,f1427,f26,f5876]) ).
fof(f5862,plain,
( sk_c9 = multiply(sk_c1,sk_c8)
| sk_c5 = multiply(sk_c4,sk_c9)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f29,f1486]) ).
fof(f5873,plain,
( spl0_6
| spl0_11
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f5872]) ).
fof(f5872,plain,
( $false
| spl0_6
| spl0_11
| spl0_13 ),
inference(global_subsumption,[],[f4106,f1,f2,f4,f3,f38,f6,f7,f19,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1426,f16,f32,f8,f12,f20,f24,f28,f29,f25,f18,f5,f33,f17,f13,f9,f21,f1641,f34,f5822,f35,f5823,f154,f11,f15,f23,f27,f31,f10,f22,f14,f30,f26,f1427]) ).
fof(f5871,plain,
( spl0_6
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f5870]) ).
fof(f5870,plain,
( $false
| spl0_6
| spl0_11 ),
inference(global_subsumption,[],[f1,f2,f4,f3,f38,f6,f7,f19,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1426,f16,f32,f8,f12,f20,f24,f28,f29,f25,f18,f5,f33,f17,f13,f9,f21,f1641,f34,f5822,f35,f5823,f154,f11,f15,f23,f27,f31,f10,f22,f14,f30,f26,f1427]) ).
fof(f5869,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_6
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f5868]) ).
fof(f5868,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_6
| spl0_11 ),
inference(global_subsumption,[],[f5867,f1,f2,f4,f3,f38,f6,f7,f19,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1426,f16,f32,f8,f12,f20,f24,f28,f29,f25,f18,f5,f33,f17,f13,f9,f21,f1427,f1641,f34,f5822,f35,f5823,f154,f11,f15,f23,f27,f31,f10,f22,f14,f30,f26]) ).
fof(f5866,plain,
( spl0_6
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f5865]) ).
fof(f5865,plain,
( $false
| spl0_6
| spl0_11 ),
inference(global_subsumption,[],[f1,f2,f4,f3,f38,f6,f7,f19,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1426,f16,f32,f8,f12,f20,f24,f28,f29,f25,f18,f5,f33,f17,f13,f9,f21,f1427,f1641,f34,f5822,f35,f5823,f154,f11,f15,f23,f27,f31,f10,f22,f14,f30,f26]) ).
fof(f5864,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_6
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f5863]) ).
fof(f5863,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_6
| spl0_11 ),
inference(global_subsumption,[],[f5862,f1,f2,f4,f3,f38,f6,f7,f19,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1426,f16,f32,f8,f12,f20,f24,f28,f29,f26,f25,f18,f5,f33,f17,f13,f9,f21,f1427,f1641,f34,f5822,f35,f5823,f154,f11,f15,f23,f27,f31,f10,f22,f14,f30]) ).
fof(f5861,plain,
( spl0_6
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f5860]) ).
fof(f5860,plain,
( $false
| spl0_6
| spl0_11 ),
inference(global_subsumption,[],[f1,f2,f4,f3,f38,f6,f7,f19,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1426,f16,f32,f8,f12,f20,f24,f28,f29,f26,f25,f18,f5,f33,f17,f13,f9,f21,f1427,f1641,f34,f5822,f35,f5823,f154,f11,f15,f23,f27,f31,f10,f22,f14,f30]) ).
fof(f5859,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_6
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f5858]) ).
fof(f5858,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_6
| spl0_11 ),
inference(global_subsumption,[],[f5857,f1,f2,f4,f3,f38,f6,f7,f19,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1426,f16,f32,f8,f12,f20,f24,f28,f30,f29,f26,f25,f18,f5,f33,f17,f13,f9,f21,f1427,f1641,f34,f5822,f35,f5823,f154,f11,f15,f23,f27,f31,f10,f22,f14]) ).
fof(f5857,plain,
( sk_c9 = multiply(sk_c1,sk_c8)
| sk_c8 = multiply(sk_c3,sk_c9)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f21,f1486]) ).
fof(f5856,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_6
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f5855]) ).
fof(f5855,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_6
| spl0_11 ),
inference(global_subsumption,[],[f5854,f1,f2,f4,f3,f38,f6,f7,f19,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1426,f16,f32,f8,f12,f20,f24,f28,f30,f29,f26,f25,f18,f5,f33,f17,f13,f9,f21,f1427,f1641,f34,f5822,f35,f5823,f154,f11,f15,f23,f27,f31,f10,f22,f14]) ).
fof(f5852,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_6
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f5851]) ).
fof(f5851,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_6
| spl0_11 ),
inference(global_subsumption,[],[f5850,f1,f2,f4,f3,f38,f6,f7,f19,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1426,f16,f32,f8,f12,f20,f24,f28,f30,f29,f26,f25,f18,f5,f33,f17,f13,f9,f21,f1427,f1641,f34,f5822,f35,f5823,f154,f11,f15,f23,f27,f31,f10,f22,f14]) ).
fof(f5850,plain,
( sk_c9 = multiply(sk_c1,sk_c8)
| sk_c8 = multiply(sk_c2,sk_c3)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f13,f1486]) ).
fof(f5849,plain,
( spl0_6
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f5848]) ).
fof(f5848,plain,
( $false
| spl0_6
| spl0_11 ),
inference(global_subsumption,[],[f1,f2,f4,f3,f38,f6,f7,f19,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1426,f16,f32,f8,f12,f20,f24,f28,f30,f29,f26,f25,f18,f5,f33,f17,f13,f9,f21,f1427,f1641,f34,f5822,f35,f5823,f154,f11,f15,f23,f27,f31,f10,f22,f14]) ).
fof(f5847,plain,
( spl0_6
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f5846]) ).
fof(f5846,plain,
( $false
| spl0_6
| spl0_11 ),
inference(global_subsumption,[],[f1,f2,f4,f3,f38,f6,f7,f19,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1426,f16,f32,f8,f12,f20,f24,f28,f30,f29,f26,f25,f14,f18,f5,f33,f17,f13,f9,f21,f1427,f1641,f34,f5822,f35,f5823,f154,f11,f15,f23,f27,f31,f10,f22]) ).
fof(f5845,plain,
( spl0_6
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f5844]) ).
fof(f5844,plain,
( $false
| spl0_6
| spl0_11 ),
inference(global_subsumption,[],[f1,f2,f4,f3,f38,f6,f7,f19,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1426,f16,f32,f8,f12,f20,f24,f28,f30,f29,f26,f25,f22,f14,f18,f5,f33,f17,f13,f9,f21,f1427,f1641,f34,f5822,f35,f5823,f154,f11,f15,f23,f27,f31,f10]) ).
fof(f5843,plain,
( spl0_6
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f5842]) ).
fof(f5842,plain,
( $false
| spl0_6
| spl0_11 ),
inference(global_subsumption,[],[f1,f2,f4,f3,f38,f6,f7,f19,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1426,f16,f32,f8,f12,f20,f24,f28,f30,f29,f26,f25,f22,f14,f10,f18,f5,f33,f17,f13,f9,f21,f1427,f1641,f34,f5822,f35,f5823,f154,f11,f15,f23,f27,f31]) ).
fof(f5841,plain,
( spl0_6
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f5840]) ).
fof(f5840,plain,
( $false
| spl0_6
| spl0_11 ),
inference(global_subsumption,[],[f1,f2,f4,f3,f38,f31,f6,f7,f19,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1426,f16,f32,f8,f12,f20,f24,f28,f30,f29,f26,f25,f22,f14,f10,f18,f5,f33,f17,f13,f9,f21,f1427,f1641,f34,f5822,f35,f5823,f154,f11,f15,f23,f27]) ).
fof(f5839,plain,
( spl0_6
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f5838]) ).
fof(f5838,plain,
( $false
| spl0_6
| spl0_11 ),
inference(global_subsumption,[],[f1,f2,f4,f3,f38,f31,f27,f6,f7,f19,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1426,f16,f32,f8,f12,f20,f24,f28,f30,f29,f26,f25,f22,f14,f10,f18,f5,f33,f17,f13,f9,f21,f1427,f1641,f34,f5822,f35,f5823,f154,f11,f15,f23]) ).
fof(f5837,plain,
( spl0_6
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f5836]) ).
fof(f5836,plain,
( $false
| spl0_6
| spl0_11 ),
inference(global_subsumption,[],[f1,f2,f4,f3,f38,f31,f27,f23,f6,f7,f19,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1426,f16,f32,f8,f12,f20,f24,f28,f30,f29,f26,f25,f22,f14,f10,f18,f5,f33,f17,f13,f9,f21,f1427,f1641,f34,f5822,f35,f5823,f154,f11,f15]) ).
fof(f5835,plain,
( spl0_6
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f5834]) ).
fof(f5834,plain,
( $false
| spl0_6
| spl0_11 ),
inference(global_subsumption,[],[f1,f2,f4,f3,f38,f31,f27,f23,f15,f6,f7,f19,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1426,f16,f32,f8,f12,f20,f24,f28,f30,f29,f26,f25,f22,f14,f10,f18,f5,f33,f17,f13,f9,f21,f1427,f1641,f34,f5822,f35,f5823,f154,f11]) ).
fof(f5833,plain,
( spl0_6
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f5832]) ).
fof(f5832,plain,
( $false
| spl0_6
| spl0_11 ),
inference(global_subsumption,[],[f1,f2,f4,f3,f38,f31,f27,f23,f15,f11,f6,f7,f19,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1426,f16,f32,f8,f12,f20,f24,f28,f30,f29,f26,f25,f22,f14,f10,f18,f5,f33,f17,f13,f9,f21,f1427,f1641,f34,f5822,f35,f5823,f154]) ).
fof(f5821,plain,
( spl0_6
| spl0_11
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f5820]) ).
fof(f5820,plain,
( $false
| spl0_6
| spl0_11
| ~ spl0_13 ),
inference(global_subsumption,[],[f1,f2,f4,f3,f38,f31,f27,f23,f15,f11,f6,f35,f7,f19,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1426,f16,f32,f8,f12,f20,f24,f28,f30,f29,f26,f25,f22,f14,f10,f34,f18,f1641,f5,f33,f17,f13,f9,f21,f1427,f4545,f4107,f4560,f4565,f4814,f4817,f4818,f4821,f4824,f4827,f4831,f4835,f4838,f4839,f4841,f4843,f4845,f4847,f4849,f4853,f4854,f4937,f5688,f5682,f5813,f5816,f5817,f5818,f5819]) ).
fof(f5819,plain,
( sk_c1 != inverse(sk_c4)
| spl0_6
| spl0_11
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1641,f4937]) ).
fof(f5818,plain,
( identity = multiply(sk_c1,sk_c5)
| spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[],[f5775,f4937]) ).
fof(f5775,plain,
( identity = multiply(sk_c9,sk_c5)
| spl0_6
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f4845,f4854]) ).
fof(f5817,plain,
( sk_c1 = inverse(sk_c4)
| spl0_6
| ~ spl0_13 ),
inference(global_subsumption,[],[f1,f2,f4,f3,f38,f31,f27,f23,f15,f11,f6,f35,f7,f19,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1426,f16,f32,f8,f12,f20,f24,f28,f30,f29,f26,f25,f22,f14,f10,f34,f18,f5,f33,f17,f13,f9,f21,f1427,f4545,f4107,f4560,f4565,f4814,f4817,f4818,f4821,f4824,f4827,f4831,f4835,f4838,f4839,f4841,f4843,f4845,f4847,f4849,f4853,f4854,f4937,f5688,f5682,f5813,f5816]) ).
fof(f5816,plain,
( sk_c1 = multiply(sk_c7,identity)
| sk_c1 = inverse(sk_c4)
| spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[],[f5815,f4937]) ).
fof(f5815,plain,
( sk_c9 = multiply(sk_c7,identity)
| sk_c1 = inverse(sk_c4)
| spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[],[f5814,f4107]) ).
fof(f5814,plain,
( sk_c1 = inverse(sk_c4)
| sk_c9 = multiply(sk_c7,sk_c8)
| spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[],[f34,f4937]) ).
fof(f5813,plain,
( sk_c1 = inverse(sk_c4)
| spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[],[f5812,f4937]) ).
fof(f5812,plain,
( sk_c9 = inverse(sk_c4)
| spl0_6
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f5811,f4854]) ).
fof(f5811,plain,
( identity = inverse(sk_c7)
| sk_c9 = inverse(sk_c4)
| ~ spl0_13 ),
inference(forward_demodulation,[],[f35,f4107]) ).
fof(f5682,plain,
( sk_c5 = multiply(sk_c4,sk_c1)
| spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[],[f5681,f4937]) ).
fof(f5681,plain,
( sk_c5 = multiply(sk_c4,sk_c9)
| spl0_6
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f4843,f4854]) ).
fof(f5688,plain,
( identity = multiply(sk_c3,sk_c1)
| sk_c1 = sk_c7
| spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[],[f5687,f4937]) ).
fof(f5687,plain,
( sk_c1 = sk_c7
| identity = multiply(sk_c3,sk_c9)
| spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[],[f4835,f4937]) ).
fof(f4849,plain,
( identity = multiply(sk_c2,sk_c3)
| identity = inverse(sk_c7)
| ~ spl0_13 ),
inference(forward_demodulation,[],[f4848,f4107]) ).
fof(f4848,plain,
( identity = inverse(sk_c7)
| sk_c8 = multiply(sk_c2,sk_c3)
| ~ spl0_13 ),
inference(forward_demodulation,[],[f15,f4107]) ).
fof(f4847,plain,
( identity = multiply(sk_c3,sk_c9)
| identity = inverse(sk_c7)
| ~ spl0_13 ),
inference(forward_demodulation,[],[f4846,f4107]) ).
fof(f4846,plain,
( identity = inverse(sk_c7)
| sk_c8 = multiply(sk_c3,sk_c9)
| ~ spl0_13 ),
inference(forward_demodulation,[],[f23,f4107]) ).
fof(f4845,plain,
( identity = multiply(sk_c9,sk_c5)
| identity = inverse(sk_c7)
| ~ spl0_13 ),
inference(forward_demodulation,[],[f4844,f4107]) ).
fof(f4844,plain,
( identity = inverse(sk_c7)
| sk_c8 = multiply(sk_c9,sk_c5)
| ~ spl0_13 ),
inference(forward_demodulation,[],[f27,f4107]) ).
fof(f4843,plain,
( identity = inverse(sk_c7)
| sk_c5 = multiply(sk_c4,sk_c9)
| ~ spl0_13 ),
inference(forward_demodulation,[],[f31,f4107]) ).
fof(f4841,plain,
( identity = inverse(sk_c7)
| inverse(sk_c1) = sk_c9
| ~ spl0_13 ),
inference(forward_demodulation,[],[f7,f4107]) ).
fof(f4839,plain,
( sk_c9 = multiply(sk_c7,identity)
| inverse(sk_c1) = sk_c9
| ~ spl0_13 ),
inference(forward_demodulation,[],[f6,f4107]) ).
fof(f4838,plain,
( sk_c9 = multiply(sk_c7,identity)
| sk_c1 = sk_c9
| ~ spl0_13 ),
inference(forward_demodulation,[],[f4837,f4107]) ).
fof(f4837,plain,
( sk_c1 = sk_c9
| sk_c9 = multiply(sk_c7,sk_c8)
| ~ spl0_13 ),
inference(forward_demodulation,[],[f4836,f443]) ).
fof(f4836,plain,
( sk_c9 = multiply(sk_c1,identity)
| sk_c9 = multiply(sk_c7,sk_c8)
| ~ spl0_13 ),
inference(forward_demodulation,[],[f10,f4107]) ).
fof(f4835,plain,
( sk_c9 = sk_c7
| identity = multiply(sk_c3,sk_c9)
| ~ spl0_13 ),
inference(forward_demodulation,[],[f4834,f443]) ).
fof(f4834,plain,
( sk_c9 = multiply(sk_c7,identity)
| identity = multiply(sk_c3,sk_c9)
| ~ spl0_13 ),
inference(forward_demodulation,[],[f4833,f4107]) ).
fof(f4833,plain,
( identity = multiply(sk_c3,sk_c9)
| sk_c9 = multiply(sk_c7,sk_c8)
| ~ spl0_13 ),
inference(forward_demodulation,[],[f22,f4107]) ).
fof(f4831,plain,
( sk_c9 = sk_c7
| identity = multiply(sk_c2,sk_c3)
| ~ spl0_13 ),
inference(forward_demodulation,[],[f4830,f443]) ).
fof(f4830,plain,
( sk_c9 = multiply(sk_c7,identity)
| identity = multiply(sk_c2,sk_c3)
| ~ spl0_13 ),
inference(forward_demodulation,[],[f4829,f4107]) ).
fof(f4829,plain,
( identity = multiply(sk_c2,sk_c3)
| sk_c9 = multiply(sk_c7,sk_c8)
| ~ spl0_13 ),
inference(forward_demodulation,[],[f14,f4107]) ).
fof(f4824,plain,
( sk_c9 = multiply(sk_c6,identity)
| sk_c1 = sk_c9
| ~ spl0_13 ),
inference(forward_demodulation,[],[f4823,f4107]) ).
fof(f4823,plain,
( sk_c1 = sk_c9
| sk_c9 = multiply(sk_c6,sk_c8)
| ~ spl0_13 ),
inference(forward_demodulation,[],[f4822,f443]) ).
fof(f4822,plain,
( sk_c9 = multiply(sk_c1,identity)
| sk_c9 = multiply(sk_c6,sk_c8)
| ~ spl0_13 ),
inference(forward_demodulation,[],[f9,f4107]) ).
fof(f4821,plain,
( sk_c9 = sk_c6
| identity = multiply(sk_c3,sk_c9)
| ~ spl0_13 ),
inference(forward_demodulation,[],[f4820,f443]) ).
fof(f4820,plain,
( sk_c9 = multiply(sk_c6,identity)
| identity = multiply(sk_c3,sk_c9)
| ~ spl0_13 ),
inference(forward_demodulation,[],[f4819,f4107]) ).
fof(f4819,plain,
( identity = multiply(sk_c3,sk_c9)
| sk_c9 = multiply(sk_c6,sk_c8)
| ~ spl0_13 ),
inference(forward_demodulation,[],[f21,f4107]) ).
fof(f4818,plain,
( sk_c9 = multiply(sk_c7,identity)
| identity = multiply(sk_c9,sk_c5)
| ~ spl0_13 ),
inference(forward_demodulation,[],[f4561,f4107]) ).
fof(f4561,plain,
( identity = multiply(sk_c9,sk_c5)
| sk_c9 = multiply(sk_c7,sk_c8)
| ~ spl0_13 ),
inference(forward_demodulation,[],[f26,f4107]) ).
fof(f4817,plain,
( sk_c9 = sk_c7
| sk_c5 = multiply(sk_c4,sk_c9)
| ~ spl0_13 ),
inference(forward_demodulation,[],[f4816,f443]) ).
fof(f4816,plain,
( sk_c9 = multiply(sk_c7,identity)
| sk_c5 = multiply(sk_c4,sk_c9)
| ~ spl0_13 ),
inference(forward_demodulation,[],[f30,f4107]) ).
fof(f4814,plain,
( sk_c9 = multiply(sk_c6,identity)
| inverse(sk_c1) = sk_c9
| ~ spl0_13 ),
inference(forward_demodulation,[],[f5,f4107]) ).
fof(f4565,plain,
( sk_c9 = sk_c6
| sk_c5 = multiply(sk_c4,sk_c9)
| ~ spl0_13 ),
inference(forward_demodulation,[],[f4564,f443]) ).
fof(f4564,plain,
( sk_c9 = multiply(sk_c6,identity)
| sk_c5 = multiply(sk_c4,sk_c9)
| ~ spl0_13 ),
inference(forward_demodulation,[],[f29,f4107]) ).
fof(f4560,plain,
( sk_c9 = multiply(sk_c6,identity)
| identity = multiply(sk_c9,sk_c5)
| ~ spl0_13 ),
inference(forward_demodulation,[],[f4559,f4107]) ).
fof(f4559,plain,
( identity = multiply(sk_c9,sk_c5)
| sk_c9 = multiply(sk_c6,sk_c8)
| ~ spl0_13 ),
inference(forward_demodulation,[],[f25,f4107]) ).
fof(f4545,plain,
( ! [X3,X8,X9,X7,X4] :
( identity != inverse(X9)
| sk_c9 != inverse(X7)
| sk_c9 != inverse(X8)
| sk_c9 != inverse(X3)
| identity != multiply(inverse(X4),sk_c9)
| identity != multiply(sk_c9,multiply(X7,sk_c9))
| sk_c9 != multiply(X3,identity)
| sk_c9 != multiply(X9,identity)
| sk_c9 != multiply(X8,identity) )
| ~ spl0_13 ),
inference(global_subsumption,[],[f1,f2,f4,f3,f38,f31,f27,f23,f15,f11,f6,f35,f7,f19,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1426,f16,f32,f8,f12,f20,f24,f28,f30,f29,f26,f25,f22,f14,f10,f34,f18,f4107,f5,f33,f17,f13,f9,f21,f1427]) ).
fof(f5798,plain,
( spl0_6
| spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f5797]) ).
fof(f5797,plain,
( $false
| spl0_6
| spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f5796,f4940]) ).
fof(f4940,plain,
( identity != sk_c1
| spl0_6
| spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f1645,f4937]) ).
fof(f5796,plain,
( identity = sk_c1
| spl0_6
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f5783,f442]) ).
fof(f5783,plain,
( sk_c1 = multiply(identity,inverse(identity))
| spl0_6
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f898,f5777]) ).
fof(f5777,plain,
( identity = multiply(sk_c1,identity)
| spl0_6
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f5776,f4937]) ).
fof(f5776,plain,
( identity = multiply(sk_c9,identity)
| spl0_6
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f5775,f4111]) ).
fof(f5794,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_6
| spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f5793]) ).
fof(f5793,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_6
| spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f5792,f4940]) ).
fof(f5792,plain,
( identity = sk_c1
| ~ spl0_1
| ~ spl0_2
| spl0_6
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f5780,f442]) ).
fof(f5780,plain,
( sk_c1 = multiply(identity,inverse(identity))
| ~ spl0_1
| ~ spl0_2
| spl0_6
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f5287,f5777]) ).
fof(f5287,plain,
( ! [X0] : sk_c1 = multiply(X0,inverse(multiply(sk_c1,X0)))
| ~ spl0_1
| ~ spl0_2
| spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[],[f5286,f1486]) ).
fof(f5286,plain,
( ! [X0] : sk_c6 = multiply(X0,inverse(multiply(sk_c1,X0)))
| ~ spl0_2
| spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1454,f4937]) ).
fof(f1454,plain,
( ! [X0] : sk_c6 = multiply(X0,inverse(multiply(sk_c9,X0)))
| ~ spl0_2 ),
inference(superposition,[],[f812,f46]) ).
fof(f5791,plain,
( spl0_6
| spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f5790]) ).
fof(f5790,plain,
( $false
| spl0_6
| spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f5779,f4940]) ).
fof(f5779,plain,
( identity = sk_c1
| spl0_6
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f443,f5777]) ).
fof(f5789,plain,
( spl0_6
| spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f5788]) ).
fof(f5788,plain,
( $false
| spl0_6
| spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f5778,f4940]) ).
fof(f5778,plain,
( identity = sk_c1
| spl0_6
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f5777,f443]) ).
fof(f5698,plain,
( spl0_15
| spl0_16
| spl0_6
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f5688,f4105,f153,f5695,f5691]) ).
fof(f5691,plain,
( spl0_15
<=> sk_c1 = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f5686,plain,
( ~ spl0_1
| spl0_6
| ~ spl0_11
| ~ spl0_13
| spl0_14 ),
inference(avatar_contradiction_clause,[],[f5685]) ).
fof(f5685,plain,
( $false
| ~ spl0_1
| spl0_6
| ~ spl0_11
| ~ spl0_13
| spl0_14 ),
inference(subsumption_resolution,[],[f5684,f4110]) ).
fof(f5684,plain,
( identity = sk_c5
| ~ spl0_1
| spl0_6
| ~ spl0_11
| ~ spl0_13 ),
inference(forward_demodulation,[],[f5683,f4938]) ).
fof(f4938,plain,
( identity = multiply(sk_c1,sk_c1)
| ~ spl0_1
| spl0_6
| ~ spl0_13 ),
inference(superposition,[],[f4857,f4937]) ).
fof(f5683,plain,
( sk_c5 = multiply(sk_c1,sk_c1)
| ~ spl0_1
| spl0_6
| ~ spl0_11
| ~ spl0_13 ),
inference(forward_demodulation,[],[f5682,f4657]) ).
fof(f5312,plain,
~ spl0_10,
inference(avatar_contradiction_clause,[],[f5311]) ).
fof(f5311,plain,
( $false
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f5301,f469]) ).
fof(f5301,plain,
( identity != inverse(inverse(identity))
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f5296]) ).
fof(f5296,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl0_10 ),
inference(superposition,[],[f1361,f442]) ).
fof(f1361,plain,
( ! [X7] :
( identity != multiply(identity,X7)
| identity != inverse(X7) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f1360]) ).
fof(f1360,plain,
( spl0_10
<=> ! [X7] :
( identity != multiply(identity,X7)
| identity != inverse(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f5310,plain,
~ spl0_10,
inference(avatar_contradiction_clause,[],[f5309]) ).
fof(f5309,plain,
( $false
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f5308,f469]) ).
fof(f5308,plain,
( identity != inverse(inverse(identity))
| ~ spl0_10 ),
inference(forward_demodulation,[],[f5302,f808]) ).
fof(f5302,plain,
( ! [X0] : identity != inverse(multiply(X0,inverse(multiply(identity,X0))))
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f5295]) ).
fof(f5295,plain,
( ! [X0] :
( identity != identity
| identity != inverse(multiply(X0,inverse(multiply(identity,X0)))) )
| ~ spl0_10 ),
inference(superposition,[],[f1361,f539]) ).
fof(f5305,plain,
~ spl0_10,
inference(avatar_contradiction_clause,[],[f5304]) ).
fof(f5304,plain,
( $false
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f5303,f416]) ).
fof(f5303,plain,
( identity != inverse(identity)
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f5293]) ).
fof(f5293,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl0_10 ),
inference(superposition,[],[f1361,f443]) ).
fof(f4813,plain,
( spl0_1
| ~ spl0_6
| spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f4812]) ).
fof(f4812,plain,
( $false
| spl0_1
| ~ spl0_6
| spl0_12
| ~ spl0_13 ),
inference(global_subsumption,[],[f1,f2,f4,f41,f49,f50,f51,f52,f3,f58,f64,f69,f72,f57,f73,f75,f38,f31,f27,f23,f15,f11,f6,f35,f7,f19,f155,f161,f163,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1387,f1394,f440,f400,f303,f291,f1426,f16,f32,f8,f12,f20,f24,f28,f30,f29,f26,f25,f22,f14,f10,f34,f18,f510,f1488,f1489,f1501,f534,f1564,f1638,f580,f4113,f4114,f4116,f4119,f1682,f1206,f1678,f1677,f1135,f857,f1683,f1499,f1300,f965,f1496,f1108,f1498,f1059,f989,f4269,f4270,f4275,f4279,f4280,f4281,f4282,f1497,f4295,f4296,f4301,f4305,f4306,f4307,f4308,f5,f4439,f33,f4441,f17,f4494,f13,f4536,f4489,f4537,f9,f4538,f4456,f4543,f21,f4544,f1427,f4545,f1645,f4107,f4546,f4547,f4553,f4549,f4554,f4551,f4555,f4560,f4563,f4565,f4567,f4118,f4659,f4661,f4663,f4685,f4640,f4703,f4665,f4723,f4686,f4734,f4750,f4740,f4737,f4742,f4705,f4711,f4687,f4794,f4799,f4811]) ).
fof(f4811,plain,
( sk_c1 != inverse(sk_c1)
| spl0_1
| ~ spl0_6
| spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f41,f4661]) ).
fof(f4799,plain,
( sk_c1 = multiply(sk_c6,identity)
| sk_c1 = inverse(sk_c1)
| ~ spl0_6
| spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f4798,f4661]) ).
fof(f4798,plain,
( sk_c9 = multiply(sk_c6,identity)
| sk_c1 = inverse(sk_c1)
| ~ spl0_6
| spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f4797,f4107]) ).
fof(f4797,plain,
( sk_c1 = inverse(sk_c1)
| sk_c9 = multiply(sk_c6,sk_c8)
| ~ spl0_6
| spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f5,f4661]) ).
fof(f4794,plain,
( sk_c1 = inverse(sk_c1)
| ~ spl0_6
| spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f4793,f4661]) ).
fof(f4793,plain,
( inverse(sk_c1) = sk_c9
| ~ spl0_6
| spl0_12 ),
inference(subsumption_resolution,[],[f4439,f1645]) ).
fof(f4687,plain,
( sk_c5 = multiply(sk_c4,sk_c1)
| ~ spl0_6
| spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f4567,f4661]) ).
fof(f4711,plain,
( inverse(sk_c1) = sk_c3
| ~ spl0_6
| spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f4710,f1]) ).
fof(f4710,plain,
( inverse(sk_c1) = multiply(identity,sk_c3)
| ~ spl0_6
| spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f4704,f416]) ).
fof(f4704,plain,
( inverse(sk_c1) = multiply(inverse(identity),sk_c3)
| ~ spl0_6
| spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f904,f4665]) ).
fof(f4705,plain,
( sk_c3 = multiply(identity,inverse(sk_c1))
| ~ spl0_6
| spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f898,f4665]) ).
fof(f4742,plain,
( inverse(sk_c1) = sk_c5
| ~ spl0_6
| spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f4741,f443]) ).
fof(f4741,plain,
( inverse(sk_c1) = multiply(sk_c5,identity)
| ~ spl0_6
| spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f4735,f416]) ).
fof(f4735,plain,
( inverse(sk_c1) = multiply(sk_c5,inverse(identity))
| ~ spl0_6
| spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f808,f4686]) ).
fof(f4737,plain,
( sk_c5 = multiply(inverse(sk_c1),identity)
| ~ spl0_6
| spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f60,f4686]) ).
fof(f4740,plain,
( sk_c1 = inverse(sk_c5)
| ~ spl0_6
| spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f4739,f1]) ).
fof(f4739,plain,
( multiply(identity,sk_c1) = inverse(sk_c5)
| ~ spl0_6
| spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f4733,f416]) ).
fof(f4733,plain,
( multiply(inverse(identity),sk_c1) = inverse(sk_c5)
| ~ spl0_6
| spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f904,f4686]) ).
fof(f4750,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c5,X0)) = X0
| ~ spl0_6
| spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f4738,f1]) ).
fof(f4738,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c1,multiply(sk_c5,X0))
| ~ spl0_6
| spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f3,f4686]) ).
fof(f4734,plain,
( sk_c1 = multiply(identity,inverse(sk_c5))
| ~ spl0_6
| spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f898,f4686]) ).
fof(f4686,plain,
( identity = multiply(sk_c1,sk_c5)
| ~ spl0_6
| spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f4563,f4661]) ).
fof(f4723,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c1,X0)) = X0
| ~ spl0_6
| spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f4709,f1]) ).
fof(f4709,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c3,multiply(sk_c1,X0))
| ~ spl0_6
| spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f3,f4665]) ).
fof(f4665,plain,
( identity = multiply(sk_c3,sk_c1)
| ~ spl0_6
| spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f4664,f4107]) ).
fof(f4664,plain,
( sk_c8 = multiply(sk_c3,sk_c1)
| ~ spl0_6
| spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f4543,f4661]) ).
fof(f4703,plain,
( ! [X0] : multiply(sk_c2,multiply(sk_c3,X0)) = X0
| ~ spl0_6
| spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f4694,f1]) ).
fof(f4694,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c2,multiply(sk_c3,X0))
| ~ spl0_6
| spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f3,f4640]) ).
fof(f4640,plain,
( identity = multiply(sk_c2,sk_c3)
| ~ spl0_6
| spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f4536,f4107]) ).
fof(f4685,plain,
( identity = multiply(sk_c3,sk_c1)
| ~ spl0_6
| spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f4684,f4107]) ).
fof(f4684,plain,
( sk_c8 = multiply(sk_c3,sk_c1)
| ~ spl0_6
| spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f4544,f4661]) ).
fof(f4663,plain,
( identity != sk_c1
| ~ spl0_6
| spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f1645,f4661]) ).
fof(f4661,plain,
( sk_c1 = sk_c9
| ~ spl0_6
| spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f4660,f443]) ).
fof(f4660,plain,
( sk_c9 = multiply(sk_c1,identity)
| ~ spl0_6
| spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f4538,f4107]) ).
fof(f4659,plain,
( identity = multiply(sk_c2,sk_c3)
| ~ spl0_6
| spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f4537,f4107]) ).
fof(f4118,plain,
( identity = sk_c7
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[],[f4115,f416]) ).
fof(f4115,plain,
( sk_c7 = inverse(identity)
| ~ spl0_6
| ~ spl0_13 ),
inference(superposition,[],[f510,f4107]) ).
fof(f4567,plain,
( sk_c5 = multiply(sk_c4,sk_c9)
| ~ spl0_6
| spl0_12 ),
inference(subsumption_resolution,[],[f4566,f1645]) ).
fof(f4566,plain,
( identity = sk_c9
| sk_c5 = multiply(sk_c4,sk_c9)
| ~ spl0_6 ),
inference(forward_demodulation,[],[f30,f534]) ).
fof(f4563,plain,
( identity = multiply(sk_c9,sk_c5)
| ~ spl0_6
| spl0_12
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f4562,f1645]) ).
fof(f4562,plain,
( identity = sk_c9
| identity = multiply(sk_c9,sk_c5)
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[],[f4561,f534]) ).
fof(f4555,plain,
( ! [X0] : multiply(X0,sk_c7) = X0
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[],[f4552,f443]) ).
fof(f4552,plain,
( ! [X0] : multiply(multiply(X0,identity),sk_c7) = X0
| ~ spl0_6
| ~ spl0_13 ),
inference(superposition,[],[f1497,f4107]) ).
fof(f4551,plain,
( ! [X0] : multiply(multiply(X0,sk_c7),identity) = X0
| ~ spl0_6
| ~ spl0_13 ),
inference(superposition,[],[f989,f4107]) ).
fof(f4554,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[],[f4550,f1]) ).
fof(f4550,plain,
( ! [X0] : multiply(sk_c7,multiply(identity,X0)) = X0
| ~ spl0_6
| ~ spl0_13 ),
inference(superposition,[],[f580,f4107]) ).
fof(f4549,plain,
( identity = multiply(sk_c7,identity)
| ~ spl0_6
| ~ spl0_13 ),
inference(superposition,[],[f534,f4107]) ).
fof(f4553,plain,
( identity = sk_c7
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[],[f4548,f416]) ).
fof(f4548,plain,
( sk_c7 = inverse(identity)
| ~ spl0_6
| ~ spl0_13 ),
inference(superposition,[],[f510,f4107]) ).
fof(f4547,plain,
( ! [X0] : multiply(identity,multiply(sk_c7,X0)) = X0
| ~ spl0_6
| ~ spl0_13 ),
inference(superposition,[],[f163,f4107]) ).
fof(f4546,plain,
( identity = multiply(identity,sk_c7)
| ~ spl0_6
| ~ spl0_13 ),
inference(superposition,[],[f161,f4107]) ).
fof(f4544,plain,
( sk_c8 = multiply(sk_c3,sk_c9)
| ~ spl0_6
| spl0_12 ),
inference(global_subsumption,[],[f1,f2,f4,f3,f38,f31,f27,f23,f15,f11,f6,f35,f7,f19,f155,f161,f163,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1387,f1394,f440,f400,f303,f291,f1426,f1427,f16,f32,f8,f12,f20,f24,f28,f30,f29,f26,f25,f22,f14,f10,f34,f18,f510,f1488,f1489,f1501,f534,f1564,f1638,f580,f1682,f1206,f1678,f1677,f1135,f857,f1683,f1499,f1300,f965,f1496,f1108,f1498,f1059,f989,f4269,f4270,f4275,f4279,f4280,f4281,f4282,f1497,f4295,f4296,f4301,f4305,f4306,f4307,f4308,f5,f4439,f33,f4441,f1645,f17,f4494,f13,f4536,f4489,f4537,f9,f4538,f4456,f4543,f21]) ).
fof(f4543,plain,
( sk_c8 = multiply(sk_c3,sk_c9)
| ~ spl0_6
| spl0_12 ),
inference(global_subsumption,[],[f1,f2,f4,f3,f38,f31,f27,f23,f15,f11,f6,f35,f7,f19,f155,f161,f163,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1387,f1394,f440,f400,f303,f291,f1426,f1427,f16,f32,f8,f12,f20,f24,f28,f30,f29,f26,f25,f22,f14,f10,f34,f18,f510,f1488,f1489,f1501,f534,f1564,f1638,f580,f1682,f1206,f1678,f1677,f1135,f857,f1683,f1499,f1300,f965,f1496,f1108,f1498,f1059,f989,f4269,f4270,f4275,f4279,f4280,f4281,f4282,f1497,f4295,f4296,f4301,f4305,f4306,f4307,f4308,f5,f4439,f33,f4441,f1645,f21,f17,f4494,f13,f4536,f4489,f4537,f9,f4538,f4456]) ).
fof(f4456,plain,
( identity = sk_c9
| sk_c8 = multiply(sk_c3,sk_c9)
| ~ spl0_6 ),
inference(forward_demodulation,[],[f22,f534]) ).
fof(f4538,plain,
( sk_c9 = multiply(sk_c1,sk_c8)
| ~ spl0_6
| spl0_12 ),
inference(global_subsumption,[],[f1,f2,f4,f3,f38,f31,f27,f23,f15,f11,f6,f35,f7,f19,f155,f161,f163,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1387,f1394,f440,f400,f303,f291,f1426,f1427,f16,f32,f8,f12,f20,f24,f28,f30,f29,f26,f25,f22,f14,f10,f34,f18,f510,f1488,f1489,f1501,f534,f1564,f1638,f580,f1682,f1206,f1678,f1677,f1135,f857,f1683,f1499,f1300,f965,f1496,f1108,f1498,f1059,f989,f4269,f4270,f4275,f4279,f4280,f4281,f4282,f1497,f4295,f4296,f4301,f4305,f4306,f4307,f4308,f5,f4439,f33,f4441,f1645,f21,f4456,f17,f4494,f13,f4536,f4489,f4537,f9]) ).
fof(f4537,plain,
( sk_c8 = multiply(sk_c2,sk_c3)
| ~ spl0_6
| spl0_12 ),
inference(global_subsumption,[],[f1,f2,f4,f3,f38,f31,f27,f23,f15,f11,f6,f35,f7,f19,f155,f161,f163,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1387,f1394,f440,f400,f303,f291,f1426,f1427,f16,f32,f8,f12,f20,f24,f28,f30,f29,f26,f25,f22,f14,f10,f34,f18,f510,f1488,f1489,f1501,f534,f1564,f1638,f580,f1682,f1206,f1678,f1677,f1135,f857,f1683,f1499,f1300,f965,f1496,f1108,f1498,f1059,f989,f4269,f4270,f4275,f4279,f4280,f4281,f4282,f1497,f4295,f4296,f4301,f4305,f4306,f4307,f4308,f5,f4439,f33,f4441,f1645,f21,f4456,f9,f17,f4494,f13,f4536,f4489]) ).
fof(f4489,plain,
( identity = sk_c9
| sk_c8 = multiply(sk_c2,sk_c3)
| ~ spl0_6 ),
inference(forward_demodulation,[],[f14,f534]) ).
fof(f4536,plain,
( sk_c8 = multiply(sk_c2,sk_c3)
| ~ spl0_6
| spl0_12 ),
inference(global_subsumption,[],[f1,f2,f4,f3,f38,f31,f27,f23,f15,f11,f6,f35,f7,f19,f155,f161,f163,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1387,f1394,f440,f400,f303,f291,f1426,f1427,f16,f32,f8,f12,f20,f24,f28,f30,f29,f26,f25,f22,f14,f10,f34,f18,f510,f1488,f1489,f1501,f534,f1564,f1638,f580,f1682,f1206,f1678,f1677,f1135,f857,f1683,f1499,f1300,f965,f1496,f1108,f1498,f1059,f989,f4269,f4270,f4275,f4279,f4280,f4281,f4282,f1497,f4295,f4296,f4301,f4305,f4306,f4307,f4308,f5,f4439,f33,f4441,f1645,f21,f4456,f9,f4489,f17,f4494,f13]) ).
fof(f4494,plain,
( identity = sk_c9
| sk_c3 = inverse(sk_c2)
| ~ spl0_6 ),
inference(forward_demodulation,[],[f18,f534]) ).
fof(f4441,plain,
( identity = sk_c9
| sk_c9 = multiply(sk_c1,sk_c8)
| ~ spl0_6 ),
inference(forward_demodulation,[],[f10,f534]) ).
fof(f4439,plain,
( identity = sk_c9
| inverse(sk_c1) = sk_c9
| ~ spl0_6 ),
inference(forward_demodulation,[],[f6,f534]) ).
fof(f4308,plain,
( ! [X0,X1] : multiply(X0,X1) = multiply(multiply(X0,sk_c8),multiply(sk_c7,X1))
| ~ spl0_6 ),
inference(superposition,[],[f3,f1497]) ).
fof(f4307,plain,
( ! [X0] : sk_c7 = multiply(inverse(multiply(X0,sk_c8)),X0)
| ~ spl0_6 ),
inference(superposition,[],[f60,f1497]) ).
fof(f4306,plain,
( ! [X0] : identity = multiply(multiply(X0,sk_c8),multiply(sk_c7,inverse(X0)))
| ~ spl0_6 ),
inference(superposition,[],[f539,f1497]) ).
fof(f4305,plain,
( ! [X0] : inverse(multiply(X0,sk_c8)) = multiply(sk_c7,inverse(X0))
| ~ spl0_6 ),
inference(superposition,[],[f808,f1497]) ).
fof(f4301,plain,
( ! [X0,X1] : multiply(X0,X1) = multiply(multiply(X0,multiply(X1,sk_c8)),sk_c7)
| ~ spl0_6 ),
inference(superposition,[],[f1497,f3]) ).
fof(f4296,plain,
( ! [X0] : multiply(X0,sk_c7) = inverse(multiply(sk_c8,inverse(X0)))
| ~ spl0_6 ),
inference(superposition,[],[f1497,f1165]) ).
fof(f4295,plain,
( ! [X0] : inverse(multiply(sk_c8,X0)) = multiply(inverse(X0),sk_c7)
| ~ spl0_6 ),
inference(superposition,[],[f1497,f904]) ).
fof(f1497,plain,
( ! [X0] : multiply(multiply(X0,sk_c8),sk_c7) = X0
| ~ spl0_6 ),
inference(superposition,[],[f898,f510]) ).
fof(f4282,plain,
( ! [X0,X1] : multiply(X0,X1) = multiply(multiply(X0,sk_c7),multiply(sk_c8,X1))
| ~ spl0_6 ),
inference(superposition,[],[f3,f989]) ).
fof(f4281,plain,
( ! [X0] : sk_c8 = multiply(inverse(multiply(X0,sk_c7)),X0)
| ~ spl0_6 ),
inference(superposition,[],[f60,f989]) ).
fof(f4280,plain,
( ! [X0] : identity = multiply(multiply(X0,sk_c7),multiply(sk_c8,inverse(X0)))
| ~ spl0_6 ),
inference(superposition,[],[f539,f989]) ).
fof(f4279,plain,
( ! [X0] : inverse(multiply(X0,sk_c7)) = multiply(sk_c8,inverse(X0))
| ~ spl0_6 ),
inference(superposition,[],[f808,f989]) ).
fof(f4275,plain,
( ! [X0,X1] : multiply(X0,X1) = multiply(multiply(X0,multiply(X1,sk_c7)),sk_c8)
| ~ spl0_6 ),
inference(superposition,[],[f989,f3]) ).
fof(f4270,plain,
( ! [X0] : multiply(X0,sk_c8) = inverse(multiply(sk_c7,inverse(X0)))
| ~ spl0_6 ),
inference(superposition,[],[f989,f1165]) ).
fof(f4269,plain,
( ! [X0] : inverse(multiply(sk_c7,X0)) = multiply(inverse(X0),sk_c8)
| ~ spl0_6 ),
inference(superposition,[],[f989,f904]) ).
fof(f989,plain,
( ! [X0] : multiply(multiply(X0,sk_c7),sk_c8) = X0
| ~ spl0_6 ),
inference(superposition,[],[f898,f155]) ).
fof(f1059,plain,
( ! [X0] : multiply(multiply(X0,sk_c8),sk_c7) = X0
| ~ spl0_6 ),
inference(superposition,[],[f986,f155]) ).
fof(f1498,plain,
( ! [X0] : multiply(multiply(X0,sk_c7),sk_c8) = X0
| ~ spl0_6 ),
inference(superposition,[],[f986,f510]) ).
fof(f1108,plain,
( ! [X0] : sk_c7 = multiply(X0,inverse(multiply(sk_c8,X0)))
| ~ spl0_6 ),
inference(superposition,[],[f812,f155]) ).
fof(f1496,plain,
( ! [X0] : sk_c8 = multiply(X0,inverse(multiply(sk_c7,X0)))
| ~ spl0_6 ),
inference(superposition,[],[f812,f510]) ).
fof(f965,plain,
( ! [X0] : sk_c8 = multiply(X0,inverse(multiply(sk_c7,X0)))
| ~ spl0_6 ),
inference(superposition,[],[f898,f163]) ).
fof(f1300,plain,
( ! [X0] : sk_c7 = multiply(inverse(multiply(X0,sk_c8)),X0)
| ~ spl0_6 ),
inference(superposition,[],[f1165,f155]) ).
fof(f1499,plain,
( ! [X0] : sk_c8 = multiply(inverse(multiply(X0,sk_c7)),X0)
| ~ spl0_6 ),
inference(superposition,[],[f1165,f510]) ).
fof(f1683,plain,
( ! [X0] : sk_c7 = multiply(X0,inverse(multiply(sk_c8,X0)))
| ~ spl0_6 ),
inference(superposition,[],[f898,f580]) ).
fof(f857,plain,
( ! [X0] : inverse(multiply(X0,sk_c7)) = multiply(sk_c8,inverse(X0))
| ~ spl0_6 ),
inference(superposition,[],[f163,f808]) ).
fof(f1135,plain,
( ! [X0] : multiply(sk_c8,X0) = inverse(multiply(inverse(X0),sk_c7))
| ~ spl0_6 ),
inference(superposition,[],[f163,f812]) ).
fof(f1677,plain,
( ! [X0] : inverse(multiply(X0,sk_c8)) = multiply(sk_c7,inverse(X0))
| ~ spl0_6 ),
inference(superposition,[],[f580,f808]) ).
fof(f1678,plain,
( ! [X0] : multiply(sk_c7,X0) = inverse(multiply(inverse(X0),sk_c8))
| ~ spl0_6 ),
inference(superposition,[],[f580,f812]) ).
fof(f1206,plain,
( ! [X0] : inverse(multiply(sk_c7,X0)) = multiply(inverse(X0),sk_c8)
| ~ spl0_6 ),
inference(superposition,[],[f904,f163]) ).
fof(f1682,plain,
( ! [X0] : inverse(multiply(sk_c8,X0)) = multiply(inverse(X0),sk_c7)
| ~ spl0_6 ),
inference(superposition,[],[f904,f580]) ).
fof(f4119,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[],[f4117,f1]) ).
fof(f4117,plain,
( ! [X0] : multiply(sk_c7,multiply(identity,X0)) = X0
| ~ spl0_6
| ~ spl0_13 ),
inference(superposition,[],[f580,f4107]) ).
fof(f4116,plain,
( identity = multiply(sk_c7,identity)
| ~ spl0_6
| ~ spl0_13 ),
inference(superposition,[],[f534,f4107]) ).
fof(f4114,plain,
( ! [X0] : multiply(identity,multiply(sk_c7,X0)) = X0
| ~ spl0_6
| ~ spl0_13 ),
inference(superposition,[],[f163,f4107]) ).
fof(f4113,plain,
( identity = multiply(identity,sk_c7)
| ~ spl0_6
| ~ spl0_13 ),
inference(superposition,[],[f161,f4107]) ).
fof(f580,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = X0
| ~ spl0_6 ),
inference(superposition,[],[f444,f155]) ).
fof(f1638,plain,
( identity = sk_c9
| sk_c9 = inverse(sk_c4)
| ~ spl0_6 ),
inference(forward_demodulation,[],[f34,f534]) ).
fof(f1564,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = X0
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1555,f1]) ).
fof(f1555,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c8,X0))
| ~ spl0_6 ),
inference(superposition,[],[f3,f534]) ).
fof(f534,plain,
( identity = multiply(sk_c7,sk_c8)
| ~ spl0_6 ),
inference(superposition,[],[f442,f155]) ).
fof(f1501,plain,
( identity = multiply(sk_c7,sk_c8)
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1492,f469]) ).
fof(f1492,plain,
( identity = multiply(inverse(inverse(sk_c7)),sk_c8)
| ~ spl0_6 ),
inference(superposition,[],[f401,f510]) ).
fof(f1489,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = X0
| ~ spl0_6 ),
inference(superposition,[],[f60,f510]) ).
fof(f1488,plain,
( identity = multiply(sk_c7,sk_c8)
| ~ spl0_6 ),
inference(superposition,[],[f2,f510]) ).
fof(f291,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(inverse(sk_c8),X0)
| ~ spl0_6 ),
inference(superposition,[],[f60,f163]) ).
fof(f303,plain,
( sk_c7 = multiply(inverse(sk_c8),identity)
| ~ spl0_6 ),
inference(superposition,[],[f60,f161]) ).
fof(f400,plain,
( sk_c7 = multiply(inverse(sk_c8),identity)
| ~ spl0_6 ),
inference(superposition,[],[f283,f155]) ).
fof(f440,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(inverse(sk_c8),X0)
| ~ spl0_6 ),
inference(superposition,[],[f293,f155]) ).
fof(f1394,plain,
( sk_c7 = inverse(sk_c8)
| ~ spl0_6 ),
inference(forward_demodulation,[],[f827,f898]) ).
fof(f827,plain,
( ! [X0] : inverse(sk_c8) = multiply(multiply(sk_c7,X0),inverse(X0))
| ~ spl0_6 ),
inference(superposition,[],[f808,f163]) ).
fof(f1387,plain,
( sk_c7 = inverse(sk_c8)
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1386,f443]) ).
fof(f1386,plain,
( inverse(sk_c8) = multiply(sk_c7,identity)
| ~ spl0_6 ),
inference(forward_demodulation,[],[f843,f416]) ).
fof(f843,plain,
( inverse(sk_c8) = multiply(sk_c7,inverse(identity))
| ~ spl0_6 ),
inference(superposition,[],[f808,f161]) ).
fof(f163,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
| ~ spl0_6 ),
inference(forward_demodulation,[],[f162,f1]) ).
fof(f162,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c7,X0))
| ~ spl0_6 ),
inference(superposition,[],[f3,f161]) ).
fof(f161,plain,
( identity = multiply(sk_c8,sk_c7)
| ~ spl0_6 ),
inference(superposition,[],[f2,f155]) ).
fof(f75,plain,
( multiply(sk_c9,sk_c7) = multiply(sk_c6,identity)
| spl0_1 ),
inference(superposition,[],[f57,f50]) ).
fof(f73,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c9,multiply(sk_c7,X0))
| spl0_1 ),
inference(superposition,[],[f57,f64]) ).
fof(f57,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c8,X0)) = multiply(sk_c9,X0)
| spl0_1 ),
inference(superposition,[],[f3,f51]) ).
fof(f72,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c9,X0))
| spl0_1 ),
inference(superposition,[],[f3,f69]) ).
fof(f69,plain,
( sk_c8 = multiply(sk_c8,sk_c9)
| spl0_1 ),
inference(superposition,[],[f64,f52]) ).
fof(f64,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
| spl0_1 ),
inference(forward_demodulation,[],[f59,f1]) ).
fof(f59,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c7,X0))
| spl0_1 ),
inference(superposition,[],[f3,f50]) ).
fof(f58,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c7,multiply(sk_c8,X0))
| spl0_1 ),
inference(superposition,[],[f3,f52]) ).
fof(f52,plain,
( sk_c9 = multiply(sk_c7,sk_c8)
| spl0_1 ),
inference(subsumption_resolution,[],[f6,f41]) ).
fof(f51,plain,
( sk_c9 = multiply(sk_c6,sk_c8)
| spl0_1 ),
inference(subsumption_resolution,[],[f5,f41]) ).
fof(f50,plain,
( identity = multiply(sk_c8,sk_c7)
| spl0_1 ),
inference(superposition,[],[f2,f49]) ).
fof(f49,plain,
( sk_c8 = inverse(sk_c7)
| spl0_1 ),
inference(subsumption_resolution,[],[f7,f41]) ).
fof(f41,plain,
( inverse(sk_c1) != sk_c9
| spl0_1 ),
inference(avatar_component_clause,[],[f40]) ).
fof(f4810,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f4809]) ).
fof(f4809,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_12 ),
inference(global_subsumption,[],[f119,f1,f2,f4,f41,f49,f50,f51,f52,f3,f58,f64,f69,f72,f57,f73,f75,f38,f31,f27,f23,f15,f11,f6,f35,f7,f19,f155,f161,f163,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1387,f1394,f440,f400,f303,f291,f1426,f16,f32,f8,f12,f20,f24,f28,f30,f29,f26,f25,f22,f14,f10,f34,f18,f510,f1488,f1489,f1501,f534,f1564,f1638,f580,f1682,f1206,f1678,f1677,f1135,f857,f1683,f1499,f1300,f965,f1496,f1108,f1498,f1059,f989,f4269,f4270,f4275,f4279,f4280,f4281,f4282,f1497,f4295,f4296,f4301,f4305,f4306,f4307,f4308,f5,f4439,f33,f4441,f17,f4494,f13,f4536,f4489,f4537,f9,f4538,f4456,f4543,f21,f4544,f1427,f1645,f4567]) ).
fof(f119,plain,
( identity = sk_c6
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f110,f48]) ).
fof(f48,plain,
( identity = multiply(sk_c9,sk_c6)
| ~ spl0_2 ),
inference(superposition,[],[f2,f46]) ).
fof(f110,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f109,f1]) ).
fof(f109,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(identity,X0))
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f3,f106]) ).
fof(f106,plain,
( identity = multiply(sk_c9,identity)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f63,f105]) ).
fof(f105,plain,
( identity = multiply(sk_c6,identity)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f75,f82]) ).
fof(f82,plain,
( identity = multiply(sk_c9,sk_c7)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f50,f79]) ).
fof(f79,plain,
( sk_c9 = sk_c8
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f78,f51]) ).
fof(f78,plain,
( sk_c8 = multiply(sk_c6,sk_c8)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f74,f65]) ).
fof(f65,plain,
( sk_c8 = multiply(sk_c9,sk_c9)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f63,f51]) ).
fof(f74,plain,
( multiply(sk_c6,sk_c8) = multiply(sk_c9,sk_c9)
| spl0_1 ),
inference(superposition,[],[f57,f69]) ).
fof(f63,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c6,X0)) = X0
| ~ spl0_2 ),
inference(forward_demodulation,[],[f56,f1]) ).
fof(f56,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c6,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f48]) ).
fof(f4808,plain,
( spl0_1
| ~ spl0_2
| spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f4807]) ).
fof(f4807,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_12
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f4806,f1645]) ).
fof(f4806,plain,
( identity = sk_c9
| spl0_1
| ~ spl0_2
| ~ spl0_13 ),
inference(forward_demodulation,[],[f79,f4107]) ).
fof(f4805,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f4804]) ).
fof(f4804,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_12 ),
inference(global_subsumption,[],[f124,f1,f2,f4,f41,f49,f50,f51,f52,f3,f58,f64,f69,f72,f57,f73,f75,f38,f31,f27,f23,f15,f11,f6,f35,f7,f19,f155,f161,f163,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1387,f1394,f440,f400,f303,f291,f1426,f16,f32,f8,f12,f20,f24,f28,f30,f29,f26,f25,f22,f14,f10,f34,f18,f510,f1488,f1489,f1501,f534,f1564,f1638,f580,f1682,f1206,f1678,f1677,f1135,f857,f1683,f1499,f1300,f965,f1496,f1108,f1498,f1059,f989,f4269,f4270,f4275,f4279,f4280,f4281,f4282,f1497,f4295,f4296,f4301,f4305,f4306,f4307,f4308,f5,f4439,f33,f4441,f17,f4494,f13,f4536,f4489,f4537,f9,f4538,f4456,f4543,f21,f4544,f1427,f1645,f4567]) ).
fof(f124,plain,
( identity = sk_c6
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f48,f110]) ).
fof(f4803,plain,
( spl0_1
| ~ spl0_2
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f4802]) ).
fof(f4802,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_12 ),
inference(subsumption_resolution,[],[f4432,f1645]) ).
fof(f4432,plain,
( identity = sk_c9
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f126,f416]) ).
fof(f126,plain,
( sk_c9 = inverse(identity)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f46,f119]) ).
fof(f4801,plain,
( spl0_1
| ~ spl0_6
| spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f4800]) ).
fof(f4800,plain,
( $false
| spl0_1
| ~ spl0_6
| spl0_12
| ~ spl0_13 ),
inference(global_subsumption,[],[f4799,f1,f2,f4,f41,f49,f50,f51,f52,f3,f58,f64,f69,f72,f57,f73,f75,f38,f31,f27,f23,f15,f11,f6,f35,f7,f19,f155,f161,f163,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1387,f1394,f440,f400,f303,f291,f1426,f16,f32,f8,f12,f20,f24,f28,f30,f29,f26,f25,f22,f14,f10,f34,f18,f510,f1488,f1489,f1501,f534,f1564,f1638,f580,f1682,f1206,f1678,f1677,f1135,f857,f1683,f1499,f1300,f965,f1496,f1108,f1498,f1059,f989,f4269,f4270,f4275,f4279,f4280,f4281,f4282,f1497,f4295,f4296,f4301,f4305,f4306,f4307,f4308,f5,f4439,f33,f4441,f17,f4494,f13,f4536,f4489,f4537,f9,f4538,f4456,f4543,f21,f4544,f1427,f1645,f4567]) ).
fof(f4796,plain,
( spl0_1
| ~ spl0_6
| spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f4795]) ).
fof(f4795,plain,
( $false
| spl0_1
| ~ spl0_6
| spl0_12
| ~ spl0_13 ),
inference(global_subsumption,[],[f4794,f1,f2,f4,f41,f49,f50,f51,f52,f3,f58,f64,f69,f72,f57,f73,f75,f38,f31,f27,f23,f15,f11,f6,f35,f7,f19,f155,f161,f163,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1387,f1394,f440,f400,f303,f291,f1426,f16,f32,f8,f12,f20,f24,f28,f30,f29,f26,f25,f22,f14,f10,f34,f18,f510,f1488,f1489,f1501,f534,f1564,f1638,f580,f1682,f1206,f1678,f1677,f1135,f857,f1683,f1499,f1300,f965,f1496,f1108,f1498,f1059,f989,f4269,f4270,f4275,f4279,f4280,f4281,f4282,f1497,f4295,f4296,f4301,f4305,f4306,f4307,f4308,f5,f4439,f33,f4441,f17,f4494,f13,f4536,f4489,f4537,f9,f4538,f4456,f4543,f21,f4544,f1427,f1645,f4567]) ).
fof(f4792,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f4791]) ).
fof(f4791,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_12
| ~ spl0_13 ),
inference(global_subsumption,[],[f4790,f1,f2,f4,f41,f49,f50,f51,f52,f3,f58,f64,f69,f72,f57,f73,f75,f38,f31,f27,f23,f15,f11,f6,f35,f7,f19,f155,f161,f163,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1387,f1394,f440,f400,f303,f291,f1426,f16,f32,f8,f12,f20,f24,f28,f30,f29,f26,f25,f22,f14,f10,f34,f18,f510,f1488,f1489,f1501,f534,f1564,f1638,f580,f1682,f1206,f1678,f1677,f1135,f857,f1683,f1499,f1300,f965,f1496,f1108,f1498,f1059,f989,f4269,f4270,f4275,f4279,f4280,f4281,f4282,f1497,f4295,f4296,f4301,f4305,f4306,f4307,f4308,f5,f4439,f33,f4441,f17,f4494,f13,f4536,f4489,f4537,f9,f4538,f4456,f4543,f21,f4544,f1427,f1645,f4567]) ).
fof(f4790,plain,
( inverse(sk_c1) = sk_c6
| ~ spl0_2
| ~ spl0_6
| spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f509,f4661]) ).
fof(f4789,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f4788]) ).
fof(f4788,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_12
| ~ spl0_13 ),
inference(global_subsumption,[],[f4787,f1,f2,f4,f41,f49,f50,f51,f52,f3,f58,f64,f69,f72,f57,f73,f75,f38,f31,f27,f23,f15,f11,f6,f35,f7,f19,f155,f161,f163,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1387,f1394,f440,f400,f303,f291,f1426,f16,f32,f8,f12,f20,f24,f28,f30,f29,f26,f25,f22,f14,f10,f34,f18,f510,f1488,f1489,f1501,f534,f1564,f1638,f580,f1682,f1206,f1678,f1677,f1135,f857,f1683,f1499,f1300,f965,f1496,f1108,f1498,f1059,f989,f4269,f4270,f4275,f4279,f4280,f4281,f4282,f1497,f4295,f4296,f4301,f4305,f4306,f4307,f4308,f5,f4439,f33,f4441,f17,f4494,f13,f4536,f4489,f4537,f9,f4538,f4456,f4543,f21,f4544,f1427,f1645,f4567]) ).
fof(f4787,plain,
( inverse(sk_c1) = sk_c6
| ~ spl0_2
| ~ spl0_6
| spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1453,f4661]) ).
fof(f1453,plain,
( sk_c6 = inverse(sk_c9)
| ~ spl0_2 ),
inference(superposition,[],[f469,f46]) ).
fof(f4786,plain,
( spl0_1
| ~ spl0_6
| ~ spl0_11
| spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f4785]) ).
fof(f4785,plain,
( $false
| spl0_1
| ~ spl0_6
| ~ spl0_11
| spl0_12
| ~ spl0_13 ),
inference(global_subsumption,[],[f4784,f1,f2,f4,f41,f49,f50,f51,f52,f3,f58,f64,f69,f72,f57,f73,f75,f38,f31,f27,f23,f15,f11,f6,f35,f7,f19,f155,f161,f163,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1387,f1394,f440,f400,f303,f291,f1426,f16,f32,f8,f12,f20,f24,f28,f30,f29,f26,f25,f22,f14,f10,f34,f18,f510,f1488,f1489,f1501,f534,f1564,f1638,f580,f1682,f1206,f1678,f1677,f1135,f857,f1683,f1499,f1300,f965,f1496,f1108,f1498,f1059,f989,f4269,f4270,f4275,f4279,f4280,f4281,f4282,f1497,f4295,f4296,f4301,f4305,f4306,f4307,f4308,f5,f4439,f33,f4441,f17,f4494,f13,f4536,f4489,f4537,f9,f4538,f4456,f4543,f21,f4544,f1427,f1645,f4567]) ).
fof(f4784,plain,
( inverse(sk_c1) = sk_c4
| ~ spl0_6
| ~ spl0_11
| spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f4620,f4661]) ).
fof(f4783,plain,
( spl0_1
| ~ spl0_6
| spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f4782]) ).
fof(f4782,plain,
( $false
| spl0_1
| ~ spl0_6
| spl0_12
| ~ spl0_13 ),
inference(global_subsumption,[],[f4687,f1,f2,f4,f41,f49,f50,f51,f52,f3,f58,f64,f69,f72,f57,f73,f75,f38,f31,f27,f23,f15,f11,f6,f35,f7,f19,f155,f161,f163,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1387,f1394,f440,f400,f303,f291,f1426,f16,f32,f8,f12,f20,f24,f28,f30,f29,f26,f25,f22,f14,f10,f34,f18,f510,f1488,f1489,f1501,f534,f1564,f1638,f580,f1682,f1206,f1678,f1677,f1135,f857,f1683,f1499,f1300,f965,f1496,f1108,f1498,f1059,f989,f4269,f4270,f4275,f4279,f4280,f4281,f4282,f1497,f4295,f4296,f4301,f4305,f4306,f4307,f4308,f5,f4439,f33,f4441,f17,f4494,f13,f4536,f4489,f4537,f9,f4538,f4456,f4543,f21,f4544,f1427,f1645,f4567]) ).
fof(f4781,plain,
( spl0_1
| ~ spl0_6
| spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f4780]) ).
fof(f4780,plain,
( $false
| spl0_1
| ~ spl0_6
| spl0_12
| ~ spl0_13 ),
inference(global_subsumption,[],[f4711,f1,f2,f4,f41,f49,f50,f51,f52,f3,f58,f64,f69,f72,f57,f73,f75,f38,f31,f27,f23,f15,f11,f6,f35,f7,f19,f155,f161,f163,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1387,f1394,f440,f400,f303,f291,f1426,f16,f32,f8,f12,f20,f24,f28,f30,f29,f26,f25,f22,f14,f10,f34,f18,f510,f1488,f1489,f1501,f534,f1564,f1638,f580,f1682,f1206,f1678,f1677,f1135,f857,f1683,f1499,f1300,f965,f1496,f1108,f1498,f1059,f989,f4269,f4270,f4275,f4279,f4280,f4281,f4282,f1497,f4295,f4296,f4301,f4305,f4306,f4307,f4308,f5,f4439,f33,f4441,f17,f4494,f13,f4536,f4489,f4537,f9,f4538,f4456,f4543,f21,f4544,f1427,f1645,f4567]) ).
fof(f4779,plain,
( spl0_1
| ~ spl0_6
| spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f4778]) ).
fof(f4778,plain,
( $false
| spl0_1
| ~ spl0_6
| spl0_12
| ~ spl0_13 ),
inference(global_subsumption,[],[f4705,f1,f2,f4,f41,f49,f50,f51,f52,f3,f58,f64,f69,f72,f57,f73,f75,f38,f31,f27,f23,f15,f11,f6,f35,f7,f19,f155,f161,f163,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1387,f1394,f440,f400,f303,f291,f1426,f16,f32,f8,f12,f20,f24,f28,f30,f29,f26,f25,f22,f14,f10,f34,f18,f510,f1488,f1489,f1501,f534,f1564,f1638,f580,f1682,f1206,f1678,f1677,f1135,f857,f1683,f1499,f1300,f965,f1496,f1108,f1498,f1059,f989,f4269,f4270,f4275,f4279,f4280,f4281,f4282,f1497,f4295,f4296,f4301,f4305,f4306,f4307,f4308,f5,f4439,f33,f4441,f17,f4494,f13,f4536,f4489,f4537,f9,f4538,f4456,f4543,f21,f4544,f1427,f1645,f4567]) ).
fof(f4777,plain,
( spl0_1
| ~ spl0_6
| ~ spl0_7
| spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f4776]) ).
fof(f4776,plain,
( $false
| spl0_1
| ~ spl0_6
| ~ spl0_7
| spl0_12
| ~ spl0_13 ),
inference(global_subsumption,[],[f4725,f1,f2,f4,f41,f49,f50,f51,f52,f3,f58,f64,f69,f72,f57,f73,f75,f38,f31,f27,f23,f15,f11,f6,f35,f7,f19,f155,f161,f163,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1387,f1394,f440,f400,f303,f291,f1426,f16,f32,f8,f12,f20,f24,f28,f30,f29,f26,f25,f22,f14,f10,f34,f18,f510,f1488,f1489,f1501,f534,f1564,f1638,f580,f1682,f1206,f1678,f1677,f1135,f857,f1683,f1499,f1300,f965,f1496,f1108,f1498,f1059,f989,f4269,f4270,f4275,f4279,f4280,f4281,f4282,f1497,f4295,f4296,f4301,f4305,f4306,f4307,f4308,f5,f4439,f33,f4441,f17,f4494,f13,f4536,f4489,f4537,f9,f4538,f4456,f4543,f21,f4544,f1427,f1645,f4567]) ).
fof(f4725,plain,
( inverse(sk_c1) = sk_c3
| ~ spl0_6
| ~ spl0_7
| spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f159,f4719]) ).
fof(f4719,plain,
( sk_c1 = sk_c2
| ~ spl0_6
| ~ spl0_7
| spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f4718,f443]) ).
fof(f4718,plain,
( sk_c2 = multiply(sk_c1,identity)
| ~ spl0_6
| ~ spl0_7
| spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f4717,f416]) ).
fof(f4717,plain,
( sk_c2 = multiply(sk_c1,inverse(identity))
| ~ spl0_6
| ~ spl0_7
| spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f4706,f1466]) ).
fof(f4706,plain,
( multiply(sk_c1,inverse(identity)) = inverse(sk_c3)
| ~ spl0_6
| spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f808,f4665]) ).
fof(f4775,plain,
( spl0_1
| ~ spl0_6
| spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f4774]) ).
fof(f4774,plain,
( $false
| spl0_1
| ~ spl0_6
| spl0_12
| ~ spl0_13 ),
inference(global_subsumption,[],[f4742,f1,f2,f4,f41,f49,f50,f51,f52,f3,f58,f64,f69,f72,f57,f73,f75,f38,f31,f27,f23,f15,f11,f6,f35,f7,f19,f155,f161,f163,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1387,f1394,f440,f400,f303,f291,f1426,f16,f32,f8,f12,f20,f24,f28,f30,f29,f26,f25,f22,f14,f10,f34,f18,f510,f1488,f1489,f1501,f534,f1564,f1638,f580,f1682,f1206,f1678,f1677,f1135,f857,f1683,f1499,f1300,f965,f1496,f1108,f1498,f1059,f989,f4269,f4270,f4275,f4279,f4280,f4281,f4282,f1497,f4295,f4296,f4301,f4305,f4306,f4307,f4308,f5,f4439,f33,f4441,f17,f4494,f13,f4536,f4489,f4537,f9,f4538,f4456,f4543,f21,f4544,f1427,f1645,f4567]) ).
fof(f4773,plain,
( spl0_1
| ~ spl0_6
| spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f4772]) ).
fof(f4772,plain,
( $false
| spl0_1
| ~ spl0_6
| spl0_12
| ~ spl0_13 ),
inference(global_subsumption,[],[f4737,f1,f2,f4,f41,f49,f50,f51,f52,f3,f58,f64,f69,f72,f57,f73,f75,f38,f31,f27,f23,f15,f11,f6,f35,f7,f19,f155,f161,f163,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1387,f1394,f440,f400,f303,f291,f1426,f16,f32,f8,f12,f20,f24,f28,f30,f29,f26,f25,f22,f14,f10,f34,f18,f510,f1488,f1489,f1501,f534,f1564,f1638,f580,f1682,f1206,f1678,f1677,f1135,f857,f1683,f1499,f1300,f965,f1496,f1108,f1498,f1059,f989,f4269,f4270,f4275,f4279,f4280,f4281,f4282,f1497,f4295,f4296,f4301,f4305,f4306,f4307,f4308,f5,f4439,f33,f4441,f17,f4494,f13,f4536,f4489,f4537,f9,f4538,f4456,f4543,f21,f4544,f1427,f1645,f4567]) ).
fof(f4771,plain,
( spl0_1
| ~ spl0_6
| spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f4770]) ).
fof(f4770,plain,
( $false
| spl0_1
| ~ spl0_6
| spl0_12
| ~ spl0_13 ),
inference(global_subsumption,[],[f4740,f1,f2,f4,f41,f49,f50,f51,f52,f3,f58,f64,f69,f72,f57,f73,f75,f38,f31,f27,f23,f15,f11,f6,f35,f7,f19,f155,f161,f163,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1387,f1394,f440,f400,f303,f291,f1426,f16,f32,f8,f12,f20,f24,f28,f30,f29,f26,f25,f22,f14,f10,f34,f18,f510,f1488,f1489,f1501,f534,f1564,f1638,f580,f1682,f1206,f1678,f1677,f1135,f857,f1683,f1499,f1300,f965,f1496,f1108,f1498,f1059,f989,f4269,f4270,f4275,f4279,f4280,f4281,f4282,f1497,f4295,f4296,f4301,f4305,f4306,f4307,f4308,f5,f4439,f33,f4441,f17,f4494,f13,f4536,f4489,f4537,f9,f4538,f4456,f4543,f21,f4544,f1427,f1645,f4567]) ).
fof(f4769,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_11
| spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f4768]) ).
fof(f4768,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_11
| spl0_12
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f4767,f4663]) ).
fof(f4767,plain,
( identity = sk_c1
| ~ spl0_1
| ~ spl0_6
| ~ spl0_11
| spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f4759,f2]) ).
fof(f4759,plain,
( sk_c1 = multiply(inverse(sk_c1),sk_c1)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_11
| spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f60,f4754]) ).
fof(f4754,plain,
( sk_c1 = multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_11
| spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f4688,f4749]) ).
fof(f4749,plain,
( sk_c1 = sk_c5
| ~ spl0_1
| ~ spl0_6
| spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f4748,f4661]) ).
fof(f4748,plain,
( sk_c9 = sk_c5
| ~ spl0_1
| ~ spl0_6
| spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f4747,f443]) ).
fof(f4747,plain,
( sk_c5 = multiply(sk_c9,identity)
| ~ spl0_1
| ~ spl0_6
| spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f4737,f42]) ).
fof(f4688,plain,
( sk_c5 = multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_11
| spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f4687,f4657]) ).
fof(f4764,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_11
| spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f4763]) ).
fof(f4763,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_11
| spl0_12
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f4762,f4663]) ).
fof(f4762,plain,
( identity = sk_c1
| ~ spl0_1
| ~ spl0_6
| ~ spl0_11
| spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f4756,f442]) ).
fof(f4756,plain,
( sk_c1 = multiply(sk_c1,inverse(sk_c1))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_11
| spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f898,f4754]) ).
fof(f4558,plain,
( ~ spl0_6
| spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f4557]) ).
fof(f4557,plain,
( $false
| ~ spl0_6
| spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f4556,f1645]) ).
fof(f4556,plain,
( identity = sk_c9
| ~ spl0_6
| spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f4541,f4107]) ).
fof(f4541,plain,
( sk_c9 = sk_c8
| ~ spl0_6
| spl0_12
| ~ spl0_14 ),
inference(global_subsumption,[],[f1,f2,f4,f3,f38,f31,f27,f23,f15,f11,f6,f35,f7,f19,f155,f161,f163,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1387,f1394,f440,f400,f303,f291,f1426,f1427,f16,f32,f8,f12,f20,f24,f28,f30,f29,f26,f25,f22,f14,f10,f34,f18,f510,f1488,f1489,f1501,f534,f1564,f1638,f580,f1682,f1206,f1678,f1677,f1135,f857,f1683,f1499,f1300,f965,f1496,f1108,f1498,f1059,f4111,f989,f4269,f4270,f4275,f4279,f4280,f4281,f4282,f1497,f4295,f4296,f4301,f4305,f4306,f4307,f4308,f5,f4439,f33,f4441,f1645,f21,f4456,f4454,f17,f4494,f13,f4536,f4489,f4537,f9,f4538,f4445,f4539,f4447,f4540,f4451]) ).
fof(f4451,plain,
( identity = sk_c9
| sk_c9 = sk_c8
| ~ spl0_6
| ~ spl0_14 ),
inference(forward_demodulation,[],[f4450,f534]) ).
fof(f4450,plain,
( sk_c9 = sk_c8
| sk_c9 = multiply(sk_c7,sk_c8)
| ~ spl0_14 ),
inference(forward_demodulation,[],[f4449,f443]) ).
fof(f4449,plain,
( sk_c8 = multiply(sk_c9,identity)
| sk_c9 = multiply(sk_c7,sk_c8)
| ~ spl0_14 ),
inference(forward_demodulation,[],[f26,f4111]) ).
fof(f4540,plain,
( identity = multiply(sk_c4,sk_c9)
| ~ spl0_6
| spl0_12
| ~ spl0_14 ),
inference(global_subsumption,[],[f1,f2,f4,f3,f38,f31,f27,f23,f15,f11,f6,f35,f7,f19,f155,f161,f163,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1387,f1394,f440,f400,f303,f291,f1426,f1427,f16,f32,f8,f12,f20,f24,f28,f30,f29,f26,f25,f22,f14,f10,f34,f18,f510,f1488,f1489,f1501,f534,f1564,f1638,f580,f1682,f1206,f1678,f1677,f1135,f857,f1683,f1499,f1300,f965,f1496,f1108,f1498,f1059,f4111,f989,f4269,f4270,f4275,f4279,f4280,f4281,f4282,f1497,f4295,f4296,f4301,f4305,f4306,f4307,f4308,f5,f4439,f33,f4441,f1645,f21,f4456,f4454,f4451,f17,f4494,f13,f4536,f4489,f4537,f9,f4538,f4445,f4539,f4447]) ).
fof(f4539,plain,
( identity = multiply(sk_c4,sk_c9)
| ~ spl0_6
| spl0_12
| ~ spl0_14 ),
inference(global_subsumption,[],[f1,f2,f4,f3,f38,f31,f27,f23,f15,f11,f6,f35,f7,f19,f155,f161,f163,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1387,f1394,f440,f400,f303,f291,f1426,f1427,f16,f32,f8,f12,f20,f24,f28,f30,f29,f26,f25,f22,f14,f10,f34,f18,f510,f1488,f1489,f1501,f534,f1564,f1638,f580,f1682,f1206,f1678,f1677,f1135,f857,f1683,f1499,f1300,f965,f1496,f1108,f1498,f1059,f4111,f989,f4269,f4270,f4275,f4279,f4280,f4281,f4282,f1497,f4295,f4296,f4301,f4305,f4306,f4307,f4308,f5,f4439,f33,f4441,f1645,f21,f4456,f4454,f4451,f4447,f17,f4494,f13,f4536,f4489,f4537,f9,f4538,f4445]) ).
fof(f4445,plain,
( identity = sk_c9
| identity = multiply(sk_c4,sk_c9)
| ~ spl0_6
| ~ spl0_14 ),
inference(forward_demodulation,[],[f4444,f534]) ).
fof(f4444,plain,
( identity = multiply(sk_c4,sk_c9)
| sk_c9 = multiply(sk_c7,sk_c8)
| ~ spl0_14 ),
inference(forward_demodulation,[],[f30,f4111]) ).
fof(f4533,plain,
( ~ spl0_6
| spl0_7
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f4532]) ).
fof(f4532,plain,
( $false
| ~ spl0_6
| spl0_7
| spl0_12 ),
inference(global_subsumption,[],[f1,f2,f4,f3,f38,f31,f27,f23,f15,f11,f6,f35,f7,f19,f155,f161,f163,f166,f170,f171,f168,f176,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1223,f1222,f1207,f1134,f981,f980,f977,f966,f856,f1387,f1388,f841,f838,f828,f1394,f1404,f656,f655,f652,f1412,f598,f1418,f440,f400,f303,f301,f292,f291,f1426,f1427,f173,f174,f172,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f16,f32,f8,f12,f20,f24,f28,f30,f29,f26,f25,f22,f14,f10,f34,f18,f510,f1488,f1489,f1501,f534,f1564,f1638,f580,f1682,f1206,f1678,f1677,f1135,f857,f1683,f1499,f1300,f965,f1496,f1108,f1498,f1059,f989,f4269,f4270,f4275,f4279,f4280,f4281,f4282,f1497,f4295,f4296,f4301,f4305,f4306,f4307,f4308,f5,f4439,f33,f4441,f1645,f21,f4456,f9,f4489,f13,f4494,f17,f325,f1275,f158]) ).
fof(f158,plain,
( sk_c3 != inverse(sk_c2)
| spl0_7 ),
inference(avatar_component_clause,[],[f157]) ).
fof(f1275,plain,
( identity = inverse(sk_c9)
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f1219,f2]) ).
fof(f1219,plain,
( inverse(sk_c9) = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_6
| spl0_7 ),
inference(superposition,[],[f904,f171]) ).
fof(f325,plain,
( identity = sk_c9
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f298,f2]) ).
fof(f298,plain,
( sk_c9 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_6
| spl0_7 ),
inference(superposition,[],[f60,f171]) ).
fof(f1436,plain,
( sk_c9 = inverse(sk_c6)
| spl0_7 ),
inference(subsumption_resolution,[],[f16,f158]) ).
fof(f1435,plain,
( sk_c9 = inverse(sk_c6)
| spl0_7 ),
inference(global_subsumption,[],[f16,f1,f2,f4,f3,f38,f30,f29,f26,f25,f22,f21,f14,f13,f10,f9,f34,f33,f31,f27,f23,f18,f17,f15,f11,f6,f5,f35,f7,f19,f158,f166,f170,f168,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1223,f1222,f1207,f1134,f981,f980,f966,f856,f841,f828,f1404,f656,f655,f1412,f598,f1418,f301,f292,f1426,f1427,f172,f28,f1430,f24,f1431,f20,f1432,f12,f1433,f8,f1434,f32]) ).
fof(f1434,plain,
( sk_c9 = inverse(sk_c6)
| spl0_7 ),
inference(global_subsumption,[],[f16,f32,f1,f2,f4,f3,f38,f30,f29,f26,f25,f22,f21,f14,f13,f10,f9,f34,f33,f31,f27,f23,f18,f17,f15,f11,f6,f5,f35,f7,f19,f158,f166,f170,f168,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1223,f1222,f1207,f1134,f981,f980,f966,f856,f841,f828,f1404,f656,f655,f1412,f598,f1418,f301,f292,f1426,f1427,f172,f28,f1430,f24,f1431,f20,f1432,f12,f1433,f8]) ).
fof(f1433,plain,
( sk_c9 = inverse(sk_c6)
| spl0_7 ),
inference(global_subsumption,[],[f16,f32,f8,f1,f2,f4,f3,f38,f30,f29,f26,f25,f22,f21,f14,f13,f10,f9,f34,f33,f31,f27,f23,f18,f17,f15,f11,f6,f5,f35,f7,f19,f158,f166,f170,f168,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1223,f1222,f1207,f1134,f981,f980,f966,f856,f841,f828,f1404,f656,f655,f1412,f598,f1418,f301,f292,f1426,f1427,f172,f28,f1430,f24,f1431,f20,f1432,f12]) ).
fof(f1432,plain,
( sk_c9 = inverse(sk_c6)
| spl0_7 ),
inference(global_subsumption,[],[f16,f32,f12,f8,f1,f2,f4,f3,f38,f30,f29,f26,f25,f22,f21,f14,f13,f10,f9,f34,f33,f31,f27,f23,f18,f17,f15,f11,f6,f5,f35,f7,f19,f158,f166,f170,f168,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1223,f1222,f1207,f1134,f981,f980,f966,f856,f841,f828,f1404,f656,f655,f1412,f598,f1418,f301,f292,f1426,f1427,f172,f28,f1430,f24,f1431,f20]) ).
fof(f1431,plain,
( sk_c9 = inverse(sk_c6)
| spl0_7 ),
inference(global_subsumption,[],[f16,f32,f12,f20,f8,f1,f2,f4,f3,f38,f30,f29,f26,f25,f22,f21,f14,f13,f10,f9,f34,f33,f31,f27,f23,f18,f17,f15,f11,f6,f5,f35,f7,f19,f158,f166,f170,f168,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1223,f1222,f1207,f1134,f981,f980,f966,f856,f841,f828,f1404,f656,f655,f1412,f598,f1418,f301,f292,f1426,f1427,f172,f28,f1430,f24]) ).
fof(f1430,plain,
( sk_c9 = inverse(sk_c6)
| spl0_7 ),
inference(global_subsumption,[],[f16,f32,f12,f20,f24,f8,f1,f2,f4,f3,f38,f30,f29,f26,f25,f22,f21,f14,f13,f10,f9,f34,f33,f31,f27,f23,f18,f17,f15,f11,f6,f5,f35,f7,f19,f158,f166,f170,f168,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1223,f1222,f1207,f1134,f981,f980,f966,f856,f841,f828,f1404,f656,f655,f1412,f598,f1418,f301,f292,f1426,f1427,f172,f28]) ).
fof(f1429,plain,
( sk_c9 = multiply(sk_c9,sk_c9)
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f175,f166]) ).
fof(f175,plain,
( multiply(sk_c6,sk_c8) = multiply(sk_c9,sk_c9)
| ~ spl0_6
| spl0_7 ),
inference(superposition,[],[f168,f171]) ).
fof(f1428,plain,
( sk_c6 = multiply(sk_c9,sk_c7)
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f176,f443]) ).
fof(f172,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c7,multiply(sk_c8,X0))
| spl0_7 ),
inference(superposition,[],[f3,f170]) ).
fof(f174,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c9,multiply(sk_c7,X0))
| ~ spl0_6
| spl0_7 ),
inference(superposition,[],[f168,f163]) ).
fof(f173,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c9,X0))
| ~ spl0_6
| spl0_7 ),
inference(superposition,[],[f3,f171]) ).
fof(f292,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(sk_c6),multiply(sk_c9,X0))
| spl0_7 ),
inference(superposition,[],[f60,f168]) ).
fof(f301,plain,
( sk_c8 = multiply(inverse(sk_c6),sk_c9)
| spl0_7 ),
inference(superposition,[],[f60,f166]) ).
fof(f1418,plain,
( sk_c6 = multiply(sk_c9,inverse(sk_c8))
| spl0_7 ),
inference(forward_demodulation,[],[f545,f443]) ).
fof(f545,plain,
( multiply(sk_c6,identity) = multiply(sk_c9,inverse(sk_c8))
| spl0_7 ),
inference(superposition,[],[f168,f442]) ).
fof(f598,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c9,multiply(inverse(sk_c8),X0))
| spl0_7 ),
inference(superposition,[],[f168,f444]) ).
fof(f1412,plain,
( identity = multiply(sk_c6,multiply(sk_c8,inverse(sk_c9)))
| spl0_7 ),
inference(forward_demodulation,[],[f717,f808]) ).
fof(f717,plain,
( ! [X0] : identity = multiply(sk_c6,multiply(sk_c8,multiply(X0,inverse(multiply(sk_c9,X0)))))
| spl0_7 ),
inference(forward_demodulation,[],[f643,f3]) ).
fof(f643,plain,
( ! [X0] : identity = multiply(sk_c6,multiply(multiply(sk_c8,X0),inverse(multiply(sk_c9,X0))))
| spl0_7 ),
inference(superposition,[],[f539,f168]) ).
fof(f652,plain,
( identity = multiply(sk_c8,multiply(sk_c9,inverse(sk_c8)))
| ~ spl0_6
| spl0_7 ),
inference(superposition,[],[f539,f171]) ).
fof(f655,plain,
( identity = multiply(sk_c6,multiply(sk_c8,inverse(sk_c9)))
| spl0_7 ),
inference(superposition,[],[f539,f166]) ).
fof(f656,plain,
( identity = multiply(sk_c7,multiply(sk_c8,inverse(sk_c9)))
| spl0_7 ),
inference(superposition,[],[f539,f170]) ).
fof(f1404,plain,
( sk_c6 = multiply(sk_c9,inverse(sk_c8))
| spl0_7 ),
inference(forward_demodulation,[],[f1403,f443]) ).
fof(f1403,plain,
( multiply(sk_c6,identity) = multiply(sk_c9,inverse(sk_c8))
| spl0_7 ),
inference(forward_demodulation,[],[f686,f808]) ).
fof(f686,plain,
( ! [X0] : multiply(sk_c6,identity) = multiply(sk_c9,multiply(X0,inverse(multiply(sk_c8,X0))))
| spl0_7 ),
inference(superposition,[],[f168,f539]) ).
fof(f828,plain,
( ! [X0] : inverse(sk_c6) = multiply(multiply(sk_c8,X0),inverse(multiply(sk_c9,X0)))
| spl0_7 ),
inference(superposition,[],[f808,f168]) ).
fof(f838,plain,
( inverse(sk_c8) = multiply(sk_c9,inverse(sk_c8))
| ~ spl0_6
| spl0_7 ),
inference(superposition,[],[f808,f171]) ).
fof(f841,plain,
( inverse(sk_c6) = multiply(sk_c8,inverse(sk_c9))
| spl0_7 ),
inference(superposition,[],[f808,f166]) ).
fof(f1388,plain,
( sk_c8 = multiply(sk_c8,inverse(sk_c9))
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f842,f155]) ).
fof(f842,plain,
( inverse(sk_c7) = multiply(sk_c8,inverse(sk_c9))
| spl0_7 ),
inference(superposition,[],[f808,f170]) ).
fof(f856,plain,
( ! [X0] : multiply(sk_c9,inverse(multiply(X0,sk_c8))) = multiply(sk_c6,inverse(X0))
| spl0_7 ),
inference(superposition,[],[f168,f808]) ).
fof(f966,plain,
( ! [X0] : sk_c6 = multiply(multiply(sk_c9,X0),inverse(multiply(sk_c8,X0)))
| spl0_7 ),
inference(superposition,[],[f898,f168]) ).
fof(f977,plain,
( sk_c8 = multiply(sk_c8,inverse(sk_c9))
| ~ spl0_6
| spl0_7 ),
inference(superposition,[],[f898,f171]) ).
fof(f980,plain,
( sk_c6 = multiply(sk_c9,inverse(sk_c8))
| spl0_7 ),
inference(superposition,[],[f898,f166]) ).
fof(f981,plain,
( sk_c7 = multiply(sk_c9,inverse(sk_c8))
| spl0_7 ),
inference(superposition,[],[f898,f170]) ).
fof(f1134,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c9,inverse(multiply(inverse(X0),sk_c8)))
| spl0_7 ),
inference(superposition,[],[f168,f812]) ).
fof(f1207,plain,
( ! [X0] : inverse(multiply(sk_c8,X0)) = multiply(inverse(multiply(sk_c9,X0)),sk_c6)
| spl0_7 ),
inference(superposition,[],[f904,f168]) ).
fof(f1222,plain,
( inverse(sk_c8) = multiply(inverse(sk_c9),sk_c6)
| spl0_7 ),
inference(superposition,[],[f904,f166]) ).
fof(f1223,plain,
( inverse(sk_c8) = multiply(inverse(sk_c9),sk_c7)
| spl0_7 ),
inference(superposition,[],[f904,f170]) ).
fof(f176,plain,
( multiply(sk_c9,sk_c7) = multiply(sk_c6,identity)
| ~ spl0_6
| spl0_7 ),
inference(superposition,[],[f168,f161]) ).
fof(f168,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c8,X0)) = multiply(sk_c9,X0)
| spl0_7 ),
inference(superposition,[],[f3,f166]) ).
fof(f171,plain,
( sk_c8 = multiply(sk_c8,sk_c9)
| ~ spl0_6
| spl0_7 ),
inference(superposition,[],[f163,f170]) ).
fof(f170,plain,
( sk_c9 = multiply(sk_c7,sk_c8)
| spl0_7 ),
inference(subsumption_resolution,[],[f18,f158]) ).
fof(f166,plain,
( sk_c9 = multiply(sk_c6,sk_c8)
| spl0_7 ),
inference(subsumption_resolution,[],[f17,f158]) ).
fof(f4531,plain,
( ~ spl0_2
| ~ spl0_6
| spl0_7
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f4530]) ).
fof(f4530,plain,
( $false
| ~ spl0_2
| ~ spl0_6
| spl0_7
| spl0_12 ),
inference(global_subsumption,[],[f4529,f1,f2,f4,f3,f38,f31,f27,f23,f15,f11,f6,f35,f7,f19,f155,f158,f161,f163,f166,f170,f171,f168,f176,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1223,f1222,f1207,f1134,f981,f980,f977,f966,f856,f1387,f1388,f841,f838,f828,f1394,f1404,f656,f655,f652,f1412,f598,f1418,f440,f400,f303,f301,f292,f291,f1426,f1427,f173,f174,f172,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f16,f32,f8,f12,f20,f24,f28,f30,f29,f26,f25,f22,f14,f10,f34,f18,f510,f1488,f1489,f1501,f534,f1564,f1638,f580,f1682,f1206,f1678,f1677,f1135,f857,f1683,f1499,f1300,f965,f1496,f1108,f1498,f1059,f989,f4269,f4270,f4275,f4279,f4280,f4281,f4282,f1497,f4295,f4296,f4301,f4305,f4306,f4307,f4308,f5,f4439,f33,f4441,f1645,f21,f4456,f9,f4489,f13,f4494,f17,f325,f1275]) ).
fof(f4529,plain,
( identity = sk_c7
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f525,f416]) ).
fof(f525,plain,
( sk_c7 = inverse(identity)
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f524,f323]) ).
fof(f323,plain,
( identity = sk_c9
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f322,f2]) ).
fof(f322,plain,
( sk_c9 = multiply(inverse(sk_c9),sk_c9)
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f296,f180]) ).
fof(f180,plain,
( sk_c9 = sk_c8
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f179,f166]) ).
fof(f179,plain,
( sk_c8 = multiply(sk_c6,sk_c8)
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f175,f167]) ).
fof(f167,plain,
( sk_c8 = multiply(sk_c9,sk_c9)
| ~ spl0_2
| spl0_7 ),
inference(superposition,[],[f63,f166]) ).
fof(f296,plain,
( sk_c9 = multiply(inverse(sk_c9),sk_c8)
| ~ spl0_2
| spl0_7 ),
inference(superposition,[],[f60,f167]) ).
fof(f524,plain,
( sk_c7 = inverse(sk_c9)
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f510,f180]) ).
fof(f4528,plain,
( ~ spl0_2
| ~ spl0_6
| spl0_7
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f4527]) ).
fof(f4527,plain,
( $false
| ~ spl0_2
| ~ spl0_6
| spl0_7
| spl0_12 ),
inference(global_subsumption,[],[f4526,f1,f2,f4,f3,f38,f31,f27,f23,f15,f11,f6,f35,f7,f19,f155,f158,f161,f163,f166,f170,f171,f168,f176,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1223,f1222,f1207,f1134,f981,f980,f977,f966,f856,f1387,f1388,f841,f838,f828,f1394,f1404,f656,f655,f652,f1412,f598,f1418,f440,f400,f303,f301,f292,f291,f1426,f1427,f173,f174,f172,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f16,f32,f8,f12,f20,f24,f28,f30,f29,f26,f25,f22,f14,f10,f34,f18,f510,f1488,f1489,f1501,f534,f1564,f1638,f580,f1682,f1206,f1678,f1677,f1135,f857,f1683,f1499,f1300,f965,f1496,f1108,f1498,f1059,f989,f4269,f4270,f4275,f4279,f4280,f4281,f4282,f1497,f4295,f4296,f4301,f4305,f4306,f4307,f4308,f5,f4439,f33,f4441,f1645,f21,f4456,f9,f4489,f13,f4494,f17,f325,f1275]) ).
fof(f4526,plain,
( identity = sk_c9
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f228,f416]) ).
fof(f228,plain,
( sk_c9 = inverse(identity)
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(superposition,[],[f46,f215]) ).
fof(f215,plain,
( identity = sk_c6
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(superposition,[],[f204,f48]) ).
fof(f204,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f203,f1]) ).
fof(f203,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(identity,X0))
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(superposition,[],[f3,f200]) ).
fof(f200,plain,
( identity = multiply(sk_c9,identity)
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(superposition,[],[f63,f199]) ).
fof(f199,plain,
( identity = multiply(sk_c6,identity)
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f176,f183]) ).
fof(f183,plain,
( identity = multiply(sk_c9,sk_c7)
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(superposition,[],[f161,f180]) ).
fof(f4525,plain,
( ~ spl0_2
| ~ spl0_6
| spl0_7
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f4524]) ).
fof(f4524,plain,
( $false
| ~ spl0_2
| ~ spl0_6
| spl0_7
| spl0_12 ),
inference(global_subsumption,[],[f4523,f1,f2,f4,f3,f38,f31,f27,f23,f15,f11,f6,f35,f7,f19,f155,f158,f161,f163,f166,f170,f171,f168,f176,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1223,f1222,f1207,f1134,f981,f980,f977,f966,f856,f1387,f1388,f841,f838,f828,f1394,f1404,f656,f655,f652,f1412,f598,f1418,f440,f400,f303,f301,f292,f291,f1426,f1427,f173,f174,f172,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f16,f32,f8,f12,f20,f24,f28,f30,f29,f26,f25,f22,f14,f10,f34,f18,f510,f1488,f1489,f1501,f534,f1564,f1638,f580,f1682,f1206,f1678,f1677,f1135,f857,f1683,f1499,f1300,f965,f1496,f1108,f1498,f1059,f989,f4269,f4270,f4275,f4279,f4280,f4281,f4282,f1497,f4295,f4296,f4301,f4305,f4306,f4307,f4308,f5,f4439,f33,f4441,f1645,f21,f4456,f9,f4489,f13,f4494,f17,f325,f1275]) ).
fof(f4523,plain,
( identity = sk_c9
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f245,f416]) ).
fof(f245,plain,
( sk_c9 = inverse(identity)
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f239,f180]) ).
fof(f239,plain,
( sk_c8 = inverse(identity)
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(superposition,[],[f155,f216]) ).
fof(f216,plain,
( identity = sk_c7
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(superposition,[],[f204,f183]) ).
fof(f4522,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f4521]) ).
fof(f4521,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7
| spl0_12 ),
inference(global_subsumption,[],[f213,f1,f2,f4,f3,f38,f31,f27,f23,f15,f11,f6,f35,f7,f19,f155,f158,f161,f163,f166,f170,f171,f168,f176,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1223,f1222,f1207,f1134,f981,f980,f977,f966,f856,f1387,f1388,f841,f838,f828,f1394,f1404,f656,f655,f652,f1412,f598,f1418,f440,f400,f303,f301,f292,f291,f1426,f1427,f173,f174,f172,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f16,f32,f8,f12,f20,f24,f28,f30,f29,f26,f25,f22,f14,f10,f34,f18,f510,f1488,f1489,f1501,f534,f1564,f1638,f580,f1682,f1206,f1678,f1677,f1135,f857,f1683,f1499,f1300,f965,f1496,f1108,f1498,f1059,f989,f4269,f4270,f4275,f4279,f4280,f4281,f4282,f1497,f4295,f4296,f4301,f4305,f4306,f4307,f4308,f5,f4439,f33,f4441,f1645,f21,f4456,f9,f4489,f13,f4494,f17,f325,f1275]) ).
fof(f213,plain,
( identity = sk_c1
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(superposition,[],[f204,f147]) ).
fof(f4520,plain,
( ~ spl0_6
| spl0_7
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f4519]) ).
fof(f4519,plain,
( $false
| ~ spl0_6
| spl0_7
| spl0_12 ),
inference(global_subsumption,[],[f1,f2,f4,f3,f38,f31,f27,f23,f15,f11,f6,f35,f7,f19,f155,f158,f161,f163,f166,f170,f171,f168,f176,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1223,f1222,f1207,f1134,f981,f980,f977,f966,f856,f1387,f1388,f841,f838,f828,f1394,f1404,f656,f655,f652,f1412,f598,f1418,f440,f400,f303,f301,f292,f291,f1426,f1427,f173,f174,f172,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f16,f32,f8,f12,f20,f24,f28,f30,f29,f26,f25,f22,f14,f10,f34,f18,f510,f1488,f1489,f1501,f534,f1564,f1638,f580,f1682,f1206,f1678,f1677,f1135,f857,f1683,f1499,f1300,f965,f1496,f1108,f1498,f1059,f989,f4269,f4270,f4275,f4279,f4280,f4281,f4282,f1497,f4295,f4296,f4301,f4305,f4306,f4307,f4308,f5,f4439,f33,f4441,f1645,f21,f4456,f9,f4489,f13,f4494,f17,f325,f1275]) ).
fof(f4518,plain,
( ~ spl0_2
| ~ spl0_6
| spl0_7
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f4517]) ).
fof(f4517,plain,
( $false
| ~ spl0_2
| ~ spl0_6
| spl0_7
| spl0_12 ),
inference(global_subsumption,[],[f215,f1,f2,f4,f3,f38,f31,f27,f23,f15,f11,f6,f35,f7,f19,f155,f158,f161,f163,f166,f170,f171,f168,f176,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1223,f1222,f1275,f1207,f1134,f981,f980,f977,f966,f856,f1387,f1388,f841,f838,f828,f1394,f1404,f656,f655,f652,f1412,f598,f1418,f440,f400,f303,f301,f292,f291,f1426,f1427,f173,f174,f172,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f16,f32,f8,f12,f20,f24,f28,f30,f29,f26,f25,f22,f14,f10,f34,f18,f510,f1488,f1489,f1501,f534,f1564,f1638,f580,f1682,f1206,f1678,f1677,f1135,f857,f1683,f1499,f1300,f965,f1496,f1108,f1498,f1059,f989,f4269,f4270,f4275,f4279,f4280,f4281,f4282,f1497,f4295,f4296,f4301,f4305,f4306,f4307,f4308,f5,f4439,f33,f4441,f1645,f21,f4456,f9,f4489,f13,f4494,f17,f325]) ).
fof(f4516,plain,
( ~ spl0_2
| ~ spl0_6
| spl0_7
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f4515]) ).
fof(f4515,plain,
( $false
| ~ spl0_2
| ~ spl0_6
| spl0_7
| spl0_12 ),
inference(global_subsumption,[],[f216,f1,f2,f4,f3,f38,f31,f27,f23,f15,f11,f6,f35,f7,f19,f155,f158,f161,f163,f166,f170,f171,f168,f176,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1223,f1222,f1275,f1207,f1134,f981,f980,f977,f966,f856,f1387,f1388,f841,f838,f828,f1394,f1404,f656,f655,f652,f1412,f598,f1418,f440,f400,f303,f301,f292,f291,f1426,f1427,f173,f174,f172,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f16,f32,f8,f12,f20,f24,f28,f30,f29,f26,f25,f22,f14,f10,f34,f18,f510,f1488,f1489,f1501,f534,f1564,f1638,f580,f1682,f1206,f1678,f1677,f1135,f857,f1683,f1499,f1300,f965,f1496,f1108,f1498,f1059,f989,f4269,f4270,f4275,f4279,f4280,f4281,f4282,f1497,f4295,f4296,f4301,f4305,f4306,f4307,f4308,f5,f4439,f33,f4441,f1645,f21,f4456,f9,f4489,f13,f4494,f17,f325]) ).
fof(f4514,plain,
( ~ spl0_2
| ~ spl0_6
| spl0_7
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f4513]) ).
fof(f4513,plain,
( $false
| ~ spl0_2
| ~ spl0_6
| spl0_7
| spl0_12 ),
inference(global_subsumption,[],[f4512,f1,f2,f4,f3,f38,f31,f27,f23,f15,f11,f6,f35,f7,f19,f155,f158,f161,f163,f166,f170,f171,f168,f176,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1223,f1222,f1275,f1207,f1134,f981,f980,f977,f966,f856,f1387,f1388,f841,f838,f828,f1394,f1404,f656,f655,f652,f1412,f598,f1418,f440,f400,f303,f301,f292,f291,f1426,f1427,f173,f174,f172,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f16,f32,f8,f12,f20,f24,f28,f30,f29,f26,f25,f22,f14,f10,f34,f18,f510,f1488,f1489,f1501,f534,f1564,f1638,f580,f1682,f1206,f1678,f1677,f1135,f857,f1683,f1499,f1300,f965,f1496,f1108,f1498,f1059,f989,f4269,f4270,f4275,f4279,f4280,f4281,f4282,f1497,f4295,f4296,f4301,f4305,f4306,f4307,f4308,f5,f4439,f33,f4441,f1645,f21,f4456,f9,f4489,f13,f4494,f17,f325]) ).
fof(f4512,plain,
( identity = sk_c6
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f521,f416]) ).
fof(f521,plain,
( sk_c6 = inverse(identity)
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f509,f323]) ).
fof(f4511,plain,
( ~ spl0_2
| ~ spl0_6
| spl0_7
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f4510]) ).
fof(f4510,plain,
( $false
| ~ spl0_2
| ~ spl0_6
| spl0_7
| spl0_12 ),
inference(global_subsumption,[],[f180,f1,f2,f4,f3,f38,f31,f27,f23,f15,f11,f6,f35,f7,f19,f155,f158,f161,f163,f166,f170,f171,f168,f176,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1223,f1222,f1275,f1207,f1134,f981,f980,f977,f966,f856,f1387,f1388,f841,f838,f828,f1394,f1404,f656,f655,f652,f1412,f598,f1418,f440,f400,f303,f301,f292,f291,f1426,f1427,f173,f174,f172,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f16,f32,f8,f12,f20,f24,f28,f30,f29,f26,f25,f22,f14,f10,f34,f18,f510,f1488,f1489,f1501,f534,f1564,f1638,f580,f1682,f1206,f1678,f1677,f1135,f857,f1683,f1499,f1300,f965,f1496,f1108,f1498,f1059,f989,f4269,f4270,f4275,f4279,f4280,f4281,f4282,f1497,f4295,f4296,f4301,f4305,f4306,f4307,f4308,f5,f4439,f33,f4441,f1645,f21,f4456,f9,f4489,f13,f4494,f17,f325]) ).
fof(f4509,plain,
( ~ spl0_2
| ~ spl0_6
| spl0_7
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f4508]) ).
fof(f4508,plain,
( $false
| ~ spl0_2
| ~ spl0_6
| spl0_7
| spl0_12 ),
inference(global_subsumption,[],[f323,f1,f2,f4,f3,f38,f31,f27,f23,f15,f11,f6,f35,f7,f19,f155,f158,f161,f163,f166,f170,f171,f168,f176,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1223,f1222,f1275,f1207,f1134,f981,f980,f977,f966,f856,f1387,f1388,f841,f838,f828,f1394,f1404,f656,f655,f652,f1412,f598,f1418,f440,f400,f303,f301,f292,f291,f1426,f1427,f173,f174,f172,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f16,f32,f8,f12,f20,f24,f28,f30,f29,f26,f25,f22,f14,f10,f34,f18,f510,f1488,f1489,f1501,f534,f1564,f1638,f580,f1682,f1206,f1678,f1677,f1135,f857,f1683,f1499,f1300,f965,f1496,f1108,f1498,f1059,f989,f4269,f4270,f4275,f4279,f4280,f4281,f4282,f1497,f4295,f4296,f4301,f4305,f4306,f4307,f4308,f5,f4439,f33,f4441,f1645,f21,f4456,f9,f4489,f13,f4494,f17,f325]) ).
fof(f4507,plain,
( ~ spl0_6
| spl0_7
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f4506]) ).
fof(f4506,plain,
( $false
| ~ spl0_6
| spl0_7
| spl0_12 ),
inference(global_subsumption,[],[f1,f2,f4,f3,f38,f31,f27,f23,f15,f11,f6,f35,f7,f19,f155,f158,f161,f163,f166,f170,f171,f168,f176,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1223,f1222,f1275,f1207,f1134,f981,f980,f977,f966,f856,f1387,f1388,f841,f838,f828,f1394,f1404,f656,f655,f652,f1412,f598,f1418,f440,f400,f303,f301,f292,f291,f1426,f1427,f173,f174,f172,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f16,f32,f8,f12,f20,f24,f28,f30,f29,f26,f25,f22,f14,f10,f34,f18,f510,f1488,f1489,f1501,f534,f1564,f1638,f580,f1682,f1206,f1678,f1677,f1135,f857,f1683,f1499,f1300,f965,f1496,f1108,f1498,f1059,f989,f4269,f4270,f4275,f4279,f4280,f4281,f4282,f1497,f4295,f4296,f4301,f4305,f4306,f4307,f4308,f5,f4439,f33,f4441,f1645,f21,f4456,f9,f4489,f13,f4494,f17,f325]) ).
fof(f4505,plain,
( ~ spl0_2
| ~ spl0_6
| spl0_7
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f4504]) ).
fof(f4504,plain,
( $false
| ~ spl0_2
| ~ spl0_6
| spl0_7
| spl0_13 ),
inference(subsumption_resolution,[],[f352,f4106]) ).
fof(f352,plain,
( identity = sk_c8
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f339,f1]) ).
fof(f339,plain,
( sk_c8 = multiply(identity,identity)
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(superposition,[],[f167,f323]) ).
fof(f4503,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f4502]) ).
fof(f4502,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7
| spl0_12 ),
inference(global_subsumption,[],[f4501,f1,f2,f4,f3,f38,f31,f27,f23,f15,f11,f6,f35,f7,f19,f155,f158,f161,f163,f166,f170,f171,f168,f176,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1223,f1222,f1275,f1207,f1134,f981,f980,f977,f966,f856,f1387,f1388,f841,f838,f828,f1394,f1404,f656,f655,f652,f1412,f598,f1418,f440,f400,f325,f303,f301,f292,f291,f1426,f1427,f173,f174,f172,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f16,f32,f8,f12,f20,f24,f28,f30,f29,f26,f25,f22,f14,f10,f34,f18,f510,f1488,f1489,f1501,f534,f1564,f1638,f580,f1682,f1206,f1678,f1677,f1135,f857,f1683,f1499,f1300,f965,f1496,f1108,f1498,f1059,f989,f4269,f4270,f4275,f4279,f4280,f4281,f4282,f1497,f4295,f4296,f4301,f4305,f4306,f4307,f4308,f5,f4439,f33,f4441,f1645,f21,f4456,f9,f4489,f13,f4494,f17]) ).
fof(f4501,plain,
( identity = sk_c9
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f226,f416]) ).
fof(f226,plain,
( sk_c9 = inverse(identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(superposition,[],[f42,f213]) ).
fof(f4500,plain,
( ~ spl0_6
| spl0_7
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f4499]) ).
fof(f4499,plain,
( $false
| ~ spl0_6
| spl0_7
| ~ spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f1361,f1,f2,f4,f3,f38,f31,f27,f23,f15,f11,f6,f35,f7,f19,f155,f158,f161,f163,f166,f170,f171,f168,f176,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1223,f1222,f1275,f1207,f1134,f981,f980,f977,f966,f856,f1387,f1388,f841,f838,f828,f1394,f1404,f656,f655,f652,f1412,f598,f1418,f440,f400,f325,f303,f301,f292,f291,f1426,f1427,f173,f174,f172,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f16,f32,f8,f12,f20,f24,f28,f30,f29,f26,f25,f22,f14,f10,f34,f18,f510,f1488,f1489,f1501,f534,f1564,f1638,f580,f1682,f1206,f1678,f1677,f1135,f857,f1683,f1499,f1300,f965,f1496,f1108,f1498,f1059,f989,f4269,f4270,f4275,f4279,f4280,f4281,f4282,f1497,f4295,f4296,f4301,f4305,f4306,f4307,f4308,f5,f4439,f33,f4441,f1645,f21,f4456,f9,f4489,f13,f4494,f17]) ).
fof(f4498,plain,
( ~ spl0_6
| spl0_7
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f4497]) ).
fof(f4497,plain,
( $false
| ~ spl0_6
| spl0_7
| spl0_12 ),
inference(global_subsumption,[],[f1,f2,f4,f3,f38,f31,f27,f23,f15,f11,f6,f35,f7,f19,f155,f158,f161,f163,f166,f170,f171,f168,f176,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1223,f1222,f1275,f1207,f1134,f981,f980,f977,f966,f856,f1387,f1388,f841,f838,f828,f1394,f1404,f656,f655,f652,f1412,f598,f1418,f440,f400,f325,f303,f301,f292,f291,f1426,f1427,f173,f174,f172,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f16,f32,f8,f12,f20,f24,f28,f30,f29,f26,f25,f22,f14,f10,f34,f18,f510,f1488,f1489,f1501,f534,f1564,f1638,f580,f1682,f1206,f1678,f1677,f1135,f857,f1683,f1499,f1300,f965,f1496,f1108,f1498,f1059,f989,f4269,f4270,f4275,f4279,f4280,f4281,f4282,f1497,f4295,f4296,f4301,f4305,f4306,f4307,f4308,f5,f4439,f33,f4441,f1645,f21,f4456,f9,f4489,f13,f4494,f17]) ).
fof(f4496,plain,
( ~ spl0_6
| spl0_7
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f4495]) ).
fof(f4495,plain,
( $false
| ~ spl0_6
| spl0_7
| spl0_12 ),
inference(global_subsumption,[],[f1,f2,f4,f3,f38,f31,f27,f23,f15,f11,f6,f35,f7,f19,f155,f158,f161,f163,f166,f170,f171,f168,f176,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1223,f1222,f1275,f1207,f1134,f981,f980,f977,f966,f856,f1387,f1388,f841,f838,f828,f1394,f1404,f656,f655,f652,f1412,f598,f1418,f440,f400,f325,f303,f301,f292,f291,f1426,f1427,f173,f174,f172,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f16,f32,f8,f12,f20,f24,f28,f30,f29,f26,f25,f22,f14,f10,f34,f18,f17,f510,f1488,f1489,f1501,f534,f1564,f1638,f580,f1682,f1206,f1678,f1677,f1135,f857,f1683,f1499,f1300,f965,f1496,f1108,f1498,f1059,f989,f4269,f4270,f4275,f4279,f4280,f4281,f4282,f1497,f4295,f4296,f4301,f4305,f4306,f4307,f4308,f5,f4439,f33,f4441,f1645,f21,f4456,f9,f4489,f13,f4494]) ).
fof(f4493,plain,
( ~ spl0_6
| spl0_7
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f4492]) ).
fof(f4492,plain,
( $false
| ~ spl0_6
| spl0_7
| spl0_12 ),
inference(global_subsumption,[],[f1,f2,f4,f3,f38,f31,f27,f23,f15,f11,f6,f35,f7,f19,f155,f158,f161,f163,f166,f170,f171,f168,f176,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1223,f1222,f1275,f1207,f1134,f981,f980,f977,f966,f856,f1387,f1388,f841,f838,f828,f1394,f1404,f656,f655,f652,f1412,f598,f1418,f440,f400,f325,f303,f301,f292,f291,f1426,f1427,f173,f174,f172,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f16,f32,f8,f12,f20,f24,f28,f30,f29,f26,f25,f22,f14,f10,f34,f18,f17,f510,f1488,f1489,f1501,f534,f1564,f1638,f580,f1682,f1206,f1678,f1677,f1135,f857,f1683,f1499,f1300,f965,f1496,f1108,f1498,f1059,f989,f4269,f4270,f4275,f4279,f4280,f4281,f4282,f1497,f4295,f4296,f4301,f4305,f4306,f4307,f4308,f5,f4439,f33,f4441,f1645,f21,f4456,f9,f4489,f13]) ).
fof(f4491,plain,
( ~ spl0_6
| spl0_7
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f4490]) ).
fof(f4490,plain,
( $false
| ~ spl0_6
| spl0_7
| spl0_12 ),
inference(global_subsumption,[],[f1,f2,f4,f3,f38,f31,f27,f23,f15,f11,f6,f35,f7,f19,f155,f158,f161,f163,f166,f170,f171,f168,f176,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1223,f1222,f1275,f1207,f1134,f981,f980,f977,f966,f856,f1387,f1388,f841,f838,f828,f1394,f1404,f656,f655,f652,f1412,f598,f1418,f440,f400,f325,f303,f301,f292,f291,f1426,f1427,f173,f174,f172,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f16,f32,f8,f12,f20,f24,f28,f30,f29,f26,f25,f22,f14,f13,f10,f34,f18,f17,f510,f1488,f1489,f1501,f534,f1564,f1638,f580,f1682,f1206,f1678,f1677,f1135,f857,f1683,f1499,f1300,f965,f1496,f1108,f1498,f1059,f989,f4269,f4270,f4275,f4279,f4280,f4281,f4282,f1497,f4295,f4296,f4301,f4305,f4306,f4307,f4308,f5,f4439,f33,f4441,f1645,f21,f4456,f9,f4489]) ).
fof(f4488,plain,
( ~ spl0_6
| spl0_7
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f4487]) ).
fof(f4487,plain,
( $false
| ~ spl0_6
| spl0_7
| spl0_12 ),
inference(global_subsumption,[],[f1,f2,f4,f3,f38,f31,f27,f23,f15,f11,f6,f35,f7,f19,f155,f158,f161,f163,f166,f170,f171,f168,f176,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1223,f1222,f1275,f1207,f1134,f981,f980,f977,f966,f856,f1387,f1388,f841,f838,f828,f1394,f1404,f656,f655,f652,f1412,f598,f1418,f440,f400,f325,f303,f301,f292,f291,f1426,f1427,f173,f174,f172,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f16,f32,f8,f12,f20,f24,f28,f30,f29,f26,f25,f22,f14,f13,f10,f34,f18,f17,f510,f1488,f1489,f1501,f534,f1564,f1638,f580,f1682,f1206,f1678,f1677,f1135,f857,f1683,f1499,f1300,f965,f1496,f1108,f1498,f1059,f989,f4269,f4270,f4275,f4279,f4280,f4281,f4282,f1497,f4295,f4296,f4301,f4305,f4306,f4307,f4308,f5,f4439,f33,f4441,f1645,f21,f4456,f9]) ).
fof(f4486,plain,
( ~ spl0_6
| spl0_7
| spl0_12
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f4485]) ).
fof(f4485,plain,
( $false
| ~ spl0_6
| spl0_7
| spl0_12
| ~ spl0_14 ),
inference(global_subsumption,[],[f4445,f1,f2,f4,f3,f38,f31,f27,f23,f15,f11,f6,f35,f7,f19,f155,f158,f161,f163,f166,f170,f171,f168,f176,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1223,f1222,f1275,f1207,f1134,f981,f980,f977,f966,f856,f1387,f1388,f841,f838,f828,f1394,f1404,f656,f655,f652,f1412,f598,f1418,f440,f400,f325,f303,f301,f292,f291,f1426,f1427,f173,f174,f172,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f16,f32,f8,f12,f20,f24,f28,f30,f29,f26,f25,f22,f14,f13,f10,f34,f18,f17,f510,f1488,f1489,f1501,f534,f1564,f1638,f580,f1682,f1206,f1678,f1677,f1135,f857,f1683,f1499,f1300,f965,f1496,f1108,f1498,f1059,f989,f4269,f4270,f4275,f4279,f4280,f4281,f4282,f1497,f4295,f4296,f4301,f4305,f4306,f4307,f4308,f5,f4439,f33,f4441,f9,f1645,f21,f4456]) ).
fof(f4484,plain,
( ~ spl0_6
| spl0_7
| spl0_12
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f4483]) ).
fof(f4483,plain,
( $false
| ~ spl0_6
| spl0_7
| spl0_12
| ~ spl0_14 ),
inference(global_subsumption,[],[f4447,f1,f2,f4,f3,f38,f31,f27,f23,f15,f11,f6,f35,f7,f19,f155,f158,f161,f163,f166,f170,f171,f168,f176,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1223,f1222,f1275,f1207,f1134,f981,f980,f977,f966,f856,f1387,f1388,f841,f838,f828,f1394,f1404,f656,f655,f652,f1412,f598,f1418,f440,f400,f325,f303,f301,f292,f291,f1426,f1427,f173,f174,f172,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f16,f32,f8,f12,f20,f24,f28,f30,f29,f26,f25,f22,f14,f13,f10,f34,f18,f17,f510,f1488,f1489,f1501,f534,f1564,f1638,f580,f1682,f1206,f1678,f1677,f1135,f857,f1683,f1499,f1300,f965,f1496,f1108,f1498,f1059,f989,f4269,f4270,f4275,f4279,f4280,f4281,f4282,f1497,f4295,f4296,f4301,f4305,f4306,f4307,f4308,f5,f4439,f33,f4441,f9,f1645,f21,f4456]) ).
fof(f4482,plain,
( ~ spl0_6
| spl0_7
| spl0_12
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f4481]) ).
fof(f4481,plain,
( $false
| ~ spl0_6
| spl0_7
| spl0_12
| ~ spl0_14 ),
inference(global_subsumption,[],[f4451,f1,f2,f4,f3,f38,f31,f27,f23,f15,f11,f6,f35,f7,f19,f155,f158,f161,f163,f166,f170,f171,f168,f176,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1223,f1222,f1275,f1207,f1134,f981,f980,f977,f966,f856,f1387,f1388,f841,f838,f828,f1394,f1404,f656,f655,f652,f1412,f598,f1418,f440,f400,f325,f303,f301,f292,f291,f1426,f1427,f173,f174,f172,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f16,f32,f8,f12,f20,f24,f28,f30,f29,f26,f25,f22,f14,f13,f10,f34,f18,f17,f510,f1488,f1489,f1501,f534,f1564,f1638,f580,f1682,f1206,f1678,f1677,f1135,f857,f1683,f1499,f1300,f965,f1496,f1108,f1498,f1059,f989,f4269,f4270,f4275,f4279,f4280,f4281,f4282,f1497,f4295,f4296,f4301,f4305,f4306,f4307,f4308,f5,f4439,f33,f4441,f9,f1645,f21,f4456]) ).
fof(f4480,plain,
( ~ spl0_6
| spl0_7
| spl0_12
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f4479]) ).
fof(f4479,plain,
( $false
| ~ spl0_6
| spl0_7
| spl0_12
| ~ spl0_14 ),
inference(global_subsumption,[],[f4454,f1,f2,f4,f3,f38,f31,f27,f23,f15,f11,f6,f35,f7,f19,f155,f158,f161,f163,f166,f170,f171,f168,f176,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1223,f1222,f1275,f1207,f1134,f981,f980,f977,f966,f856,f1387,f1388,f841,f838,f828,f1394,f1404,f656,f655,f652,f1412,f598,f1418,f440,f400,f325,f303,f301,f292,f291,f1426,f1427,f173,f174,f172,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f16,f32,f8,f12,f20,f24,f28,f30,f29,f26,f25,f22,f14,f13,f10,f34,f18,f17,f510,f1488,f1489,f1501,f534,f1564,f1638,f580,f1682,f1206,f1678,f1677,f1135,f857,f1683,f1499,f1300,f965,f1496,f1108,f1498,f1059,f989,f4269,f4270,f4275,f4279,f4280,f4281,f4282,f1497,f4295,f4296,f4301,f4305,f4306,f4307,f4308,f5,f4439,f33,f4441,f9,f1645,f21,f4456]) ).
fof(f4478,plain,
( ~ spl0_6
| spl0_7
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f4477]) ).
fof(f4477,plain,
( $false
| ~ spl0_6
| spl0_7
| spl0_12 ),
inference(global_subsumption,[],[f1,f2,f4,f3,f38,f31,f27,f23,f15,f11,f6,f35,f7,f19,f155,f158,f161,f163,f166,f170,f171,f168,f176,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1223,f1222,f1275,f1207,f1134,f981,f980,f977,f966,f856,f1387,f1388,f841,f838,f828,f1394,f1404,f656,f655,f652,f1412,f598,f1418,f440,f400,f325,f303,f301,f292,f291,f1426,f1427,f173,f174,f172,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f16,f32,f8,f12,f20,f24,f28,f30,f29,f26,f25,f22,f14,f13,f10,f34,f18,f17,f510,f1488,f1489,f1501,f534,f1564,f1638,f580,f1682,f1206,f1678,f1677,f1135,f857,f1683,f1499,f1300,f965,f1496,f1108,f1498,f1059,f989,f4269,f4270,f4275,f4279,f4280,f4281,f4282,f1497,f4295,f4296,f4301,f4305,f4306,f4307,f4308,f5,f4439,f33,f4441,f9,f1645,f21,f4456]) ).
fof(f4476,plain,
( ~ spl0_6
| spl0_7
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f4475]) ).
fof(f4475,plain,
( $false
| ~ spl0_6
| spl0_7
| spl0_12 ),
inference(global_subsumption,[],[f1,f2,f4,f3,f38,f31,f27,f23,f15,f11,f6,f35,f7,f19,f155,f158,f161,f163,f166,f170,f171,f168,f176,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1223,f1222,f1275,f1207,f1134,f981,f980,f977,f966,f856,f1387,f1388,f841,f838,f828,f1394,f1404,f656,f655,f652,f1412,f598,f1418,f440,f400,f325,f303,f301,f292,f291,f1426,f1427,f173,f174,f172,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f16,f32,f8,f12,f20,f24,f28,f30,f29,f26,f25,f22,f14,f13,f10,f34,f18,f17,f510,f1488,f1489,f1501,f534,f1564,f1638,f580,f1682,f1206,f1678,f1677,f1135,f857,f1683,f1499,f1300,f965,f1496,f1108,f1498,f1059,f989,f4269,f4270,f4275,f4279,f4280,f4281,f4282,f1497,f4295,f4296,f4301,f4305,f4306,f4307,f4308,f5,f4439,f33,f4441,f9,f4456,f1645,f21]) ).
fof(f4474,plain,
( ~ spl0_6
| spl0_7
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f4473]) ).
fof(f4473,plain,
( $false
| ~ spl0_6
| spl0_7
| spl0_12 ),
inference(global_subsumption,[],[f1,f2,f4,f3,f38,f31,f27,f23,f15,f11,f6,f35,f7,f19,f155,f158,f161,f163,f166,f170,f171,f168,f176,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1223,f1222,f1275,f1207,f1134,f981,f980,f977,f966,f856,f1387,f1388,f841,f838,f828,f1394,f1404,f656,f655,f652,f1412,f598,f1418,f440,f400,f325,f303,f301,f292,f291,f1426,f1427,f173,f174,f172,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f16,f32,f8,f12,f20,f24,f28,f30,f29,f26,f25,f22,f14,f13,f10,f34,f18,f17,f510,f1488,f1489,f1501,f534,f1564,f1638,f580,f1682,f1206,f1678,f1677,f1135,f857,f1683,f1499,f1300,f965,f1496,f1108,f1498,f1059,f989,f4269,f4270,f4275,f4279,f4280,f4281,f4282,f1497,f4295,f4296,f4301,f4305,f4306,f4307,f4308,f5,f4439,f33,f4441,f9,f4456,f21,f1645]) ).
fof(f4472,plain,
( ~ spl0_1
| ~ spl0_6
| spl0_7
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f4471]) ).
fof(f4471,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| spl0_7
| spl0_12 ),
inference(global_subsumption,[],[f508,f1,f2,f4,f3,f38,f31,f27,f23,f15,f11,f6,f35,f7,f19,f155,f158,f161,f163,f166,f170,f171,f168,f176,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1223,f1222,f1275,f1207,f1134,f981,f980,f977,f966,f856,f1387,f1388,f841,f838,f828,f1394,f1404,f656,f655,f652,f1412,f598,f1418,f440,f400,f325,f303,f301,f292,f291,f1426,f1427,f173,f174,f172,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f16,f32,f8,f12,f20,f24,f28,f30,f29,f26,f25,f22,f14,f13,f10,f34,f18,f17,f510,f1488,f1489,f1501,f534,f1564,f1638,f580,f1682,f1206,f1678,f1677,f1135,f857,f1683,f1499,f1300,f965,f1496,f1108,f1498,f1059,f989,f4269,f4270,f4275,f4279,f4280,f4281,f4282,f1497,f4295,f4296,f4301,f4305,f4306,f4307,f4308,f5,f4439,f33,f4441,f9,f4456,f21,f1645]) ).
fof(f4470,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f4469]) ).
fof(f4469,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7
| spl0_12 ),
inference(global_subsumption,[],[f1486,f1,f2,f4,f3,f38,f31,f27,f23,f15,f11,f6,f35,f7,f19,f155,f158,f161,f163,f166,f170,f171,f168,f176,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1223,f1222,f1275,f1207,f1134,f981,f980,f977,f966,f856,f1387,f1388,f841,f838,f828,f1394,f1404,f656,f655,f652,f1412,f598,f1418,f440,f400,f325,f303,f301,f292,f291,f1426,f1427,f173,f174,f172,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f16,f32,f8,f12,f20,f24,f28,f30,f29,f26,f25,f22,f14,f13,f10,f34,f18,f17,f510,f1488,f1489,f1501,f534,f1564,f1638,f580,f1682,f1206,f1678,f1677,f1135,f857,f1683,f1499,f1300,f965,f1496,f1108,f1498,f1059,f989,f4269,f4270,f4275,f4279,f4280,f4281,f4282,f1497,f4295,f4296,f4301,f4305,f4306,f4307,f4308,f5,f4439,f33,f4441,f9,f4456,f21,f1645]) ).
fof(f4468,plain,
( ~ spl0_1
| ~ spl0_6
| spl0_7
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f4467]) ).
fof(f4467,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| spl0_7
| spl0_12 ),
inference(global_subsumption,[],[f42,f1,f2,f4,f3,f38,f31,f27,f23,f15,f11,f6,f35,f7,f19,f155,f158,f161,f163,f166,f170,f171,f168,f176,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1223,f1222,f1275,f1207,f1134,f981,f980,f977,f966,f856,f1387,f1388,f841,f838,f828,f1394,f1404,f656,f655,f652,f1412,f598,f1418,f440,f400,f325,f303,f301,f292,f291,f1426,f1427,f173,f174,f172,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f16,f32,f8,f12,f20,f24,f28,f30,f29,f26,f25,f22,f14,f13,f10,f34,f18,f17,f510,f1488,f1489,f1501,f534,f1564,f1638,f580,f1682,f1206,f1678,f1677,f1135,f857,f1683,f1499,f1300,f965,f1496,f1108,f1498,f1059,f989,f4269,f4270,f4275,f4279,f4280,f4281,f4282,f1497,f4295,f4296,f4301,f4305,f4306,f4307,f4308,f5,f4439,f33,f4441,f9,f4456,f21,f1645]) ).
fof(f4466,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| spl0_12
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f4465]) ).
fof(f4465,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| spl0_12
| spl0_13 ),
inference(global_subsumption,[],[f42,f1,f2,f4,f3,f38,f31,f27,f23,f15,f11,f6,f35,f7,f19,f155,f161,f163,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1387,f1394,f440,f400,f303,f291,f1426,f1427,f16,f32,f8,f12,f20,f24,f28,f30,f29,f26,f25,f22,f14,f13,f10,f34,f18,f17,f159,f1461,f1462,f1471,f1467,f1469,f1470,f510,f1488,f1489,f1501,f1466,f1503,f1504,f1516,f1508,f1509,f1511,f1513,f1514,f1459,f1532,f534,f1564,f1464,f1581,f1460,f1600,f1601,f1638,f580,f1465,f1761,f1762,f1468,f1792,f1793,f1796,f1800,f1801,f1802,f1803,f1512,f1822,f1823,f1826,f1830,f1831,f1832,f1833,f1606,f1868,f1904,f1874,f1891,f1895,f1767,f1939,f1980,f1946,f1964,f1968,f1884,f2051,f2038,f2052,f2053,f2054,f2043,f2055,f2045,f2046,f2047,f1903,f2066,f2074,f2078,f2081,f1958,f2107,f2122,f2126,f2112,f2127,f2128,f2116,f2117,f2118,f1976,f2146,f2154,f2158,f2161,f1595,f2253,f2297,f2265,f2298,f2299,f2300,f2270,f2301,f2272,f2273,f2274,f1596,f2343,f2344,f2349,f2381,f2331,f2382,f2383,f2384,f2336,f2385,f2338,f2339,f2340,f1756,f2411,f2456,f2423,f2457,f2458,f2459,f2428,f2460,f2430,f2431,f2432,f2461,f1757,f2506,f2507,f2508,f2509,f2510,f2546,f2493,f2547,f2548,f2549,f2498,f2550,f2500,f2501,f2502,f2551,f1890,f2575,f2612,f2616,f2580,f2617,f2618,f2584,f2585,f2586,f2623,f1894,f2671,f2675,f2678,f2679,f2680,f2653,f2710,f2714,f2658,f2715,f2716,f2662,f2663,f2664,f2720,f1963,f2744,f2782,f2786,f2749,f2787,f2788,f2753,f2754,f2755,f2789,f2794,f1967,f2847,f2850,f2854,f2855,f2856,f2859,f2860,f2830,f2890,f2894,f2835,f2895,f2896,f2839,f2840,f2841,f2897,f2901,f2036,f2933,f2041,f2954,f2263,f3010,f3015,f3020,f3021,f3022,f3027,f3028,f2975,f2999,f3093,f2268,f3106,f3157,f3162,f3167,f3168,f3169,f3174,f3175,f3118,f3217,f2329,f3298,f3299,f3300,f3301,f3314,f3315,f3316,f3358,f2334,f3405,f3406,f3407,f3408,f3421,f3422,f3423,f3486,f2421,f3538,f3543,f3548,f3549,f3550,f3551,f3552,f3499,f3523,f3617,f2426,f3630,f3685,f3690,f3695,f3696,f3697,f3698,f3699,f3642,f3741,f2491,f3812,f3813,f3814,f3815,f3816,f3817,f3818,f3872,f2496,f3919,f3920,f3921,f3922,f3923,f3924,f3925,f4000,f3890,f3889,f3769,f3768,f3647,f3646,f3504,f3503,f3376,f3375,f3255,f3254,f3123,f3122,f2980,f2979,f1682,f1206,f1678,f1677,f1135,f857,f2815,f2814,f2638,f2637,f2474,f2473,f2312,f2311,f1683,f1499,f1300,f965,f1955,f1954,f1883,f1882,f1496,f1108,f1498,f1059,f4106,f989,f4269,f4270,f4271,f4272,f4275,f4279,f4280,f4281,f4282,f1497,f4295,f4296,f4297,f4298,f4301,f4305,f4306,f4307,f4308,f5,f4439,f33,f4349,f4441,f9,f4442,f4443,f4456,f4457,f21,f4458,f1645]) ).
fof(f4458,plain,
( sk_c9 = multiply(sk_c6,sk_c8)
| ~ spl0_7
| spl0_13 ),
inference(global_subsumption,[],[f1,f2,f4,f3,f38,f31,f27,f23,f15,f11,f6,f35,f7,f19,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1426,f1427,f16,f32,f8,f12,f20,f24,f28,f30,f29,f26,f25,f22,f14,f13,f10,f34,f18,f17,f159,f1461,f1462,f1471,f1467,f1469,f1470,f1466,f1503,f1504,f1516,f1508,f1509,f1511,f1513,f1514,f1459,f1532,f1464,f1581,f1460,f1600,f1601,f1465,f1761,f1762,f1468,f1792,f1793,f1796,f1800,f1801,f1802,f1803,f1512,f1822,f1823,f1826,f1830,f1831,f1832,f1833,f1606,f1868,f1904,f1874,f1891,f1895,f1767,f1939,f1980,f1946,f1964,f1968,f1884,f2051,f2038,f2052,f2053,f2054,f2043,f2055,f2045,f2046,f2047,f1903,f2066,f2074,f2078,f2081,f1958,f2107,f2122,f2126,f2112,f2127,f2128,f2116,f2117,f2118,f1976,f2146,f2154,f2158,f2161,f1595,f2253,f2297,f2265,f2298,f2299,f2300,f2270,f2301,f2272,f2273,f2274,f1596,f2343,f2344,f2349,f2381,f2331,f2382,f2383,f2384,f2336,f2385,f2338,f2339,f2340,f1756,f2411,f2456,f2423,f2457,f2458,f2459,f2428,f2460,f2430,f2431,f2432,f2461,f1757,f2506,f2507,f2508,f2509,f2510,f2546,f2493,f2547,f2548,f2549,f2498,f2550,f2500,f2501,f2502,f2551,f1890,f2575,f2612,f2616,f2580,f2617,f2618,f2584,f2585,f2586,f2623,f1894,f2671,f2675,f2678,f2679,f2680,f2653,f2710,f2714,f2658,f2715,f2716,f2662,f2663,f2664,f2720,f1963,f2744,f2782,f2786,f2749,f2787,f2788,f2753,f2754,f2755,f2789,f2794,f1967,f2847,f2850,f2854,f2855,f2856,f2859,f2860,f2830,f2890,f2894,f2835,f2895,f2896,f2839,f2840,f2841,f2897,f2901,f2036,f2933,f2041,f2954,f2263,f3010,f3015,f3020,f3021,f3022,f3027,f3028,f2975,f2999,f3093,f2268,f3106,f3157,f3162,f3167,f3168,f3169,f3174,f3175,f3118,f3217,f2329,f3298,f3299,f3300,f3301,f3314,f3315,f3316,f3358,f2334,f3405,f3406,f3407,f3408,f3421,f3422,f3423,f3486,f2421,f3538,f3543,f3548,f3549,f3550,f3551,f3552,f3499,f3523,f3617,f2426,f3630,f3685,f3690,f3695,f3696,f3697,f3698,f3699,f3642,f3741,f2491,f3812,f3813,f3814,f3815,f3816,f3817,f3818,f3872,f2496,f3919,f3920,f3921,f3922,f3923,f3924,f3925,f4000,f4106,f5,f33,f4349,f9,f4442,f21]) ).
fof(f4457,plain,
( identity = sk_c9
| ~ spl0_6
| ~ spl0_7
| spl0_13 ),
inference(global_subsumption,[],[f1,f2,f4,f3,f38,f31,f27,f23,f15,f11,f6,f35,f7,f19,f155,f161,f163,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1387,f1394,f440,f400,f303,f291,f1426,f1427,f16,f32,f8,f12,f20,f24,f28,f30,f29,f26,f25,f22,f21,f14,f13,f10,f34,f18,f17,f159,f1461,f1462,f1471,f1467,f1469,f1470,f510,f1488,f1489,f1501,f1466,f1503,f1504,f1516,f1508,f1509,f1511,f1513,f1514,f1459,f1532,f534,f1564,f1464,f1581,f1460,f1600,f1601,f1638,f580,f1465,f1761,f1762,f1468,f1792,f1793,f1796,f1800,f1801,f1802,f1803,f1512,f1822,f1823,f1826,f1830,f1831,f1832,f1833,f1606,f1868,f1904,f1874,f1891,f1895,f1767,f1939,f1980,f1946,f1964,f1968,f1884,f2051,f2038,f2052,f2053,f2054,f2043,f2055,f2045,f2046,f2047,f1903,f2066,f2074,f2078,f2081,f1958,f2107,f2122,f2126,f2112,f2127,f2128,f2116,f2117,f2118,f1976,f2146,f2154,f2158,f2161,f1595,f2253,f2297,f2265,f2298,f2299,f2300,f2270,f2301,f2272,f2273,f2274,f1596,f2343,f2344,f2349,f2381,f2331,f2382,f2383,f2384,f2336,f2385,f2338,f2339,f2340,f1756,f2411,f2456,f2423,f2457,f2458,f2459,f2428,f2460,f2430,f2431,f2432,f2461,f1757,f2506,f2507,f2508,f2509,f2510,f2546,f2493,f2547,f2548,f2549,f2498,f2550,f2500,f2501,f2502,f2551,f1890,f2575,f2612,f2616,f2580,f2617,f2618,f2584,f2585,f2586,f2623,f1894,f2671,f2675,f2678,f2679,f2680,f2653,f2710,f2714,f2658,f2715,f2716,f2662,f2663,f2664,f2720,f1963,f2744,f2782,f2786,f2749,f2787,f2788,f2753,f2754,f2755,f2789,f2794,f1967,f2847,f2850,f2854,f2855,f2856,f2859,f2860,f2830,f2890,f2894,f2835,f2895,f2896,f2839,f2840,f2841,f2897,f2901,f2036,f2933,f2041,f2954,f2263,f3010,f3015,f3020,f3021,f3022,f3027,f3028,f2975,f2999,f3093,f2268,f3106,f3157,f3162,f3167,f3168,f3169,f3174,f3175,f3118,f3217,f2329,f3298,f3299,f3300,f3301,f3314,f3315,f3316,f3358,f2334,f3405,f3406,f3407,f3408,f3421,f3422,f3423,f3486,f2421,f3538,f3543,f3548,f3549,f3550,f3551,f3552,f3499,f3523,f3617,f2426,f3630,f3685,f3690,f3695,f3696,f3697,f3698,f3699,f3642,f3741,f2491,f3812,f3813,f3814,f3815,f3816,f3817,f3818,f3872,f2496,f3919,f3920,f3921,f3922,f3923,f3924,f3925,f4000,f3890,f3889,f3769,f3768,f3647,f3646,f3504,f3503,f3376,f3375,f3255,f3254,f3123,f3122,f2980,f2979,f1682,f1206,f1678,f1677,f1135,f857,f2815,f2814,f2638,f2637,f2474,f2473,f2312,f2311,f1683,f1499,f1300,f965,f1955,f1954,f1883,f1882,f1496,f1108,f1498,f1059,f4106,f989,f4269,f4270,f4271,f4272,f4275,f4279,f4280,f4281,f4282,f1497,f4295,f4296,f4297,f4298,f4301,f4305,f4306,f4307,f4308,f5,f4439,f33,f4349,f4441,f9,f4442,f4443,f4456]) ).
fof(f4443,plain,
( identity = sk_c9
| ~ spl0_6
| ~ spl0_7
| spl0_13 ),
inference(subsumption_resolution,[],[f4025,f4106]) ).
fof(f4025,plain,
( identity = sk_c9
| identity = sk_c8
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2015,f534]) ).
fof(f2015,plain,
( identity = sk_c8
| sk_c9 = multiply(sk_c7,sk_c8)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f14,f1464]) ).
fof(f4442,plain,
( sk_c9 = multiply(sk_c6,sk_c8)
| ~ spl0_7
| spl0_13 ),
inference(global_subsumption,[],[f1,f2,f4,f3,f38,f31,f27,f23,f15,f11,f6,f35,f7,f19,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1426,f1427,f16,f32,f8,f12,f20,f24,f28,f30,f29,f26,f25,f22,f21,f14,f13,f10,f34,f18,f17,f159,f1461,f1462,f1471,f1467,f1469,f1470,f1466,f1503,f1504,f1516,f1508,f1509,f1511,f1513,f1514,f1459,f1532,f1464,f1581,f1460,f1600,f1601,f1465,f1761,f1762,f1468,f1792,f1793,f1796,f1800,f1801,f1802,f1803,f1512,f1822,f1823,f1826,f1830,f1831,f1832,f1833,f1606,f1868,f1904,f1874,f1891,f1895,f1767,f1939,f1980,f1946,f1964,f1968,f1884,f2051,f2038,f2052,f2053,f2054,f2043,f2055,f2045,f2046,f2047,f1903,f2066,f2074,f2078,f2081,f1958,f2107,f2122,f2126,f2112,f2127,f2128,f2116,f2117,f2118,f1976,f2146,f2154,f2158,f2161,f1595,f2253,f2297,f2265,f2298,f2299,f2300,f2270,f2301,f2272,f2273,f2274,f1596,f2343,f2344,f2349,f2381,f2331,f2382,f2383,f2384,f2336,f2385,f2338,f2339,f2340,f1756,f2411,f2456,f2423,f2457,f2458,f2459,f2428,f2460,f2430,f2431,f2432,f2461,f1757,f2506,f2507,f2508,f2509,f2510,f2546,f2493,f2547,f2548,f2549,f2498,f2550,f2500,f2501,f2502,f2551,f1890,f2575,f2612,f2616,f2580,f2617,f2618,f2584,f2585,f2586,f2623,f1894,f2671,f2675,f2678,f2679,f2680,f2653,f2710,f2714,f2658,f2715,f2716,f2662,f2663,f2664,f2720,f1963,f2744,f2782,f2786,f2749,f2787,f2788,f2753,f2754,f2755,f2789,f2794,f1967,f2847,f2850,f2854,f2855,f2856,f2859,f2860,f2830,f2890,f2894,f2835,f2895,f2896,f2839,f2840,f2841,f2897,f2901,f2036,f2933,f2041,f2954,f2263,f3010,f3015,f3020,f3021,f3022,f3027,f3028,f2975,f2999,f3093,f2268,f3106,f3157,f3162,f3167,f3168,f3169,f3174,f3175,f3118,f3217,f2329,f3298,f3299,f3300,f3301,f3314,f3315,f3316,f3358,f2334,f3405,f3406,f3407,f3408,f3421,f3422,f3423,f3486,f2421,f3538,f3543,f3548,f3549,f3550,f3551,f3552,f3499,f3523,f3617,f2426,f3630,f3685,f3690,f3695,f3696,f3697,f3698,f3699,f3642,f3741,f2491,f3812,f3813,f3814,f3815,f3816,f3817,f3818,f3872,f2496,f3919,f3920,f3921,f3922,f3923,f3924,f3925,f4000,f4106,f5,f33,f4349,f9]) ).
fof(f4349,plain,
( sk_c9 = multiply(sk_c6,sk_c8)
| ~ spl0_7
| spl0_13 ),
inference(subsumption_resolution,[],[f1855,f4106]) ).
fof(f1855,plain,
( identity = sk_c8
| sk_c9 = multiply(sk_c6,sk_c8)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f13,f1464]) ).
fof(f4298,plain,
( multiply(sk_c2,sk_c7) = inverse(multiply(sk_c8,sk_c3))
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f1497,f1976]) ).
fof(f4297,plain,
( multiply(sk_c3,sk_c7) = inverse(multiply(sk_c8,sk_c2))
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f1497,f1903]) ).
fof(f4272,plain,
( multiply(sk_c2,sk_c8) = inverse(multiply(sk_c7,sk_c3))
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f989,f1976]) ).
fof(f4271,plain,
( multiply(sk_c3,sk_c8) = inverse(multiply(sk_c7,sk_c2))
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f989,f1903]) ).
fof(f1882,plain,
( inverse(multiply(sk_c2,sk_c8)) = multiply(sk_c7,sk_c3)
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f580,f1606]) ).
fof(f1883,plain,
( inverse(multiply(sk_c2,sk_c7)) = multiply(sk_c8,sk_c3)
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f163,f1606]) ).
fof(f1954,plain,
( inverse(multiply(sk_c3,sk_c8)) = multiply(sk_c7,sk_c2)
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f580,f1767]) ).
fof(f1955,plain,
( inverse(multiply(sk_c3,sk_c7)) = multiply(sk_c8,sk_c2)
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f163,f1767]) ).
fof(f2311,plain,
( multiply(sk_c3,sk_c8) = inverse(multiply(sk_c7,sk_c2))
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f1596,f510]) ).
fof(f2312,plain,
( multiply(sk_c3,sk_c7) = inverse(multiply(sk_c8,sk_c2))
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f1596,f155]) ).
fof(f2473,plain,
( multiply(sk_c2,sk_c8) = inverse(multiply(sk_c7,sk_c3))
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f1757,f510]) ).
fof(f2474,plain,
( multiply(sk_c2,sk_c7) = inverse(multiply(sk_c8,sk_c3))
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f1757,f155]) ).
fof(f2637,plain,
( inverse(multiply(sk_c2,sk_c7)) = multiply(sk_c8,sk_c3)
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f1894,f510]) ).
fof(f2638,plain,
( inverse(multiply(sk_c2,sk_c8)) = multiply(sk_c7,sk_c3)
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f1894,f155]) ).
fof(f2814,plain,
( inverse(multiply(sk_c3,sk_c7)) = multiply(sk_c8,sk_c2)
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f1967,f510]) ).
fof(f2815,plain,
( inverse(multiply(sk_c3,sk_c8)) = multiply(sk_c7,sk_c2)
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f1967,f155]) ).
fof(f2979,plain,
( identity = multiply(multiply(sk_c3,sk_c7),multiply(sk_c8,sk_c2))
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f2263,f510]) ).
fof(f2980,plain,
( identity = multiply(multiply(sk_c3,sk_c8),multiply(sk_c7,sk_c2))
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f2263,f155]) ).
fof(f3122,plain,
( identity = multiply(multiply(sk_c8,sk_c2),multiply(sk_c3,sk_c7))
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f2268,f510]) ).
fof(f3123,plain,
( identity = multiply(multiply(sk_c7,sk_c2),multiply(sk_c3,sk_c8))
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f2268,f155]) ).
fof(f3254,plain,
( identity = multiply(multiply(sk_c3,sk_c8),multiply(sk_c7,sk_c2))
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f2329,f510]) ).
fof(f3255,plain,
( identity = multiply(multiply(sk_c3,sk_c7),multiply(sk_c8,sk_c2))
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f2329,f155]) ).
fof(f3375,plain,
( identity = multiply(multiply(sk_c7,sk_c2),multiply(sk_c3,sk_c8))
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f2334,f510]) ).
fof(f3376,plain,
( identity = multiply(multiply(sk_c8,sk_c2),multiply(sk_c3,sk_c7))
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f2334,f155]) ).
fof(f3503,plain,
( identity = multiply(multiply(sk_c2,sk_c7),multiply(sk_c8,sk_c3))
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f2421,f510]) ).
fof(f3504,plain,
( identity = multiply(multiply(sk_c2,sk_c8),multiply(sk_c7,sk_c3))
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f2421,f155]) ).
fof(f3646,plain,
( identity = multiply(multiply(sk_c8,sk_c3),multiply(sk_c2,sk_c7))
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f2426,f510]) ).
fof(f3647,plain,
( identity = multiply(multiply(sk_c7,sk_c3),multiply(sk_c2,sk_c8))
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f2426,f155]) ).
fof(f3768,plain,
( identity = multiply(multiply(sk_c2,sk_c8),multiply(sk_c7,sk_c3))
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f2491,f510]) ).
fof(f3769,plain,
( identity = multiply(multiply(sk_c2,sk_c7),multiply(sk_c8,sk_c3))
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f2491,f155]) ).
fof(f3889,plain,
( identity = multiply(multiply(sk_c7,sk_c3),multiply(sk_c2,sk_c8))
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f2496,f510]) ).
fof(f3890,plain,
( identity = multiply(multiply(sk_c8,sk_c3),multiply(sk_c2,sk_c7))
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f2496,f155]) ).
fof(f4464,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| spl0_12
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f4463]) ).
fof(f4463,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| spl0_12
| spl0_13 ),
inference(global_subsumption,[],[f1486,f1,f2,f4,f3,f38,f31,f27,f23,f15,f11,f6,f35,f7,f19,f155,f161,f163,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1387,f1394,f440,f400,f303,f291,f1426,f1427,f16,f32,f8,f12,f20,f24,f28,f30,f29,f26,f25,f22,f14,f13,f10,f34,f18,f17,f159,f1461,f1462,f1471,f1467,f1469,f1470,f510,f1488,f1489,f1501,f1466,f1503,f1504,f1516,f1508,f1509,f1511,f1513,f1514,f1459,f1532,f534,f1564,f1464,f1581,f1460,f1600,f1601,f1638,f580,f1465,f1761,f1762,f1468,f1792,f1793,f1796,f1800,f1801,f1802,f1803,f1512,f1822,f1823,f1826,f1830,f1831,f1832,f1833,f1606,f1868,f1904,f1874,f1891,f1895,f1767,f1939,f1980,f1946,f1964,f1968,f1884,f2051,f2038,f2052,f2053,f2054,f2043,f2055,f2045,f2046,f2047,f1903,f2066,f2074,f2078,f2081,f1958,f2107,f2122,f2126,f2112,f2127,f2128,f2116,f2117,f2118,f1976,f2146,f2154,f2158,f2161,f1595,f2253,f2297,f2265,f2298,f2299,f2300,f2270,f2301,f2272,f2273,f2274,f1596,f2343,f2344,f2349,f2381,f2331,f2382,f2383,f2384,f2336,f2385,f2338,f2339,f2340,f1756,f2411,f2456,f2423,f2457,f2458,f2459,f2428,f2460,f2430,f2431,f2432,f2461,f1757,f2506,f2507,f2508,f2509,f2510,f2546,f2493,f2547,f2548,f2549,f2498,f2550,f2500,f2501,f2502,f2551,f1890,f2575,f2612,f2616,f2580,f2617,f2618,f2584,f2585,f2586,f2623,f1894,f2671,f2675,f2678,f2679,f2680,f2653,f2710,f2714,f2658,f2715,f2716,f2662,f2663,f2664,f2720,f1963,f2744,f2782,f2786,f2749,f2787,f2788,f2753,f2754,f2755,f2789,f2794,f1967,f2847,f2850,f2854,f2855,f2856,f2859,f2860,f2830,f2890,f2894,f2835,f2895,f2896,f2839,f2840,f2841,f2897,f2901,f2036,f2933,f2041,f2954,f2263,f3010,f3015,f3020,f3021,f3022,f3027,f3028,f2975,f2999,f3093,f2268,f3106,f3157,f3162,f3167,f3168,f3169,f3174,f3175,f3118,f3217,f2329,f3298,f3299,f3300,f3301,f3314,f3315,f3316,f3358,f2334,f3405,f3406,f3407,f3408,f3421,f3422,f3423,f3486,f2421,f3538,f3543,f3548,f3549,f3550,f3551,f3552,f3499,f3523,f3617,f2426,f3630,f3685,f3690,f3695,f3696,f3697,f3698,f3699,f3642,f3741,f2491,f3812,f3813,f3814,f3815,f3816,f3817,f3818,f3872,f2496,f3919,f3920,f3921,f3922,f3923,f3924,f3925,f4000,f3890,f3889,f3769,f3768,f3647,f3646,f3504,f3503,f3376,f3375,f3255,f3254,f3123,f3122,f2980,f2979,f1682,f1206,f1678,f1677,f1135,f857,f2815,f2814,f2638,f2637,f2474,f2473,f2312,f2311,f1683,f1499,f1300,f965,f1955,f1954,f1883,f1882,f1496,f1108,f1498,f1059,f4106,f989,f4269,f4270,f4271,f4272,f4275,f4279,f4280,f4281,f4282,f1497,f4295,f4296,f4297,f4298,f4301,f4305,f4306,f4307,f4308,f5,f4439,f33,f4349,f4441,f9,f4442,f4443,f4456,f4457,f21,f4458,f1645]) ).
fof(f4462,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| spl0_12
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f4461]) ).
fof(f4461,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| spl0_12
| spl0_13 ),
inference(global_subsumption,[],[f508,f1,f2,f4,f3,f38,f31,f27,f23,f15,f11,f6,f35,f7,f19,f155,f161,f163,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1387,f1394,f440,f400,f303,f291,f1426,f1427,f16,f32,f8,f12,f20,f24,f28,f30,f29,f26,f25,f22,f14,f13,f10,f34,f18,f17,f159,f1461,f1462,f1471,f1467,f1469,f1470,f510,f1488,f1489,f1501,f1466,f1503,f1504,f1516,f1508,f1509,f1511,f1513,f1514,f1459,f1532,f534,f1564,f1464,f1581,f1460,f1600,f1601,f1638,f580,f1465,f1761,f1762,f1468,f1792,f1793,f1796,f1800,f1801,f1802,f1803,f1512,f1822,f1823,f1826,f1830,f1831,f1832,f1833,f1606,f1868,f1904,f1874,f1891,f1895,f1767,f1939,f1980,f1946,f1964,f1968,f1884,f2051,f2038,f2052,f2053,f2054,f2043,f2055,f2045,f2046,f2047,f1903,f2066,f2074,f2078,f2081,f1958,f2107,f2122,f2126,f2112,f2127,f2128,f2116,f2117,f2118,f1976,f2146,f2154,f2158,f2161,f1595,f2253,f2297,f2265,f2298,f2299,f2300,f2270,f2301,f2272,f2273,f2274,f1596,f2343,f2344,f2349,f2381,f2331,f2382,f2383,f2384,f2336,f2385,f2338,f2339,f2340,f1756,f2411,f2456,f2423,f2457,f2458,f2459,f2428,f2460,f2430,f2431,f2432,f2461,f1757,f2506,f2507,f2508,f2509,f2510,f2546,f2493,f2547,f2548,f2549,f2498,f2550,f2500,f2501,f2502,f2551,f1890,f2575,f2612,f2616,f2580,f2617,f2618,f2584,f2585,f2586,f2623,f1894,f2671,f2675,f2678,f2679,f2680,f2653,f2710,f2714,f2658,f2715,f2716,f2662,f2663,f2664,f2720,f1963,f2744,f2782,f2786,f2749,f2787,f2788,f2753,f2754,f2755,f2789,f2794,f1967,f2847,f2850,f2854,f2855,f2856,f2859,f2860,f2830,f2890,f2894,f2835,f2895,f2896,f2839,f2840,f2841,f2897,f2901,f2036,f2933,f2041,f2954,f2263,f3010,f3015,f3020,f3021,f3022,f3027,f3028,f2975,f2999,f3093,f2268,f3106,f3157,f3162,f3167,f3168,f3169,f3174,f3175,f3118,f3217,f2329,f3298,f3299,f3300,f3301,f3314,f3315,f3316,f3358,f2334,f3405,f3406,f3407,f3408,f3421,f3422,f3423,f3486,f2421,f3538,f3543,f3548,f3549,f3550,f3551,f3552,f3499,f3523,f3617,f2426,f3630,f3685,f3690,f3695,f3696,f3697,f3698,f3699,f3642,f3741,f2491,f3812,f3813,f3814,f3815,f3816,f3817,f3818,f3872,f2496,f3919,f3920,f3921,f3922,f3923,f3924,f3925,f4000,f3890,f3889,f3769,f3768,f3647,f3646,f3504,f3503,f3376,f3375,f3255,f3254,f3123,f3122,f2980,f2979,f1682,f1206,f1678,f1677,f1135,f857,f2815,f2814,f2638,f2637,f2474,f2473,f2312,f2311,f1683,f1499,f1300,f965,f1955,f1954,f1883,f1882,f1496,f1108,f1498,f1059,f4106,f989,f4269,f4270,f4271,f4272,f4275,f4279,f4280,f4281,f4282,f1497,f4295,f4296,f4297,f4298,f4301,f4305,f4306,f4307,f4308,f5,f4439,f33,f4349,f4441,f9,f4442,f4443,f4456,f4457,f21,f4458,f1645]) ).
fof(f4460,plain,
( ~ spl0_6
| ~ spl0_7
| spl0_12
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f4459]) ).
fof(f4459,plain,
( $false
| ~ spl0_6
| ~ spl0_7
| spl0_12
| spl0_13 ),
inference(global_subsumption,[],[f1,f2,f4,f3,f38,f31,f27,f23,f15,f11,f6,f35,f7,f19,f155,f161,f163,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1387,f1394,f440,f400,f303,f291,f1426,f1427,f16,f32,f8,f12,f20,f24,f28,f30,f29,f26,f25,f22,f14,f13,f10,f34,f18,f17,f159,f1461,f1462,f1471,f1467,f1469,f1470,f510,f1488,f1489,f1501,f1466,f1503,f1504,f1516,f1508,f1509,f1511,f1513,f1514,f1459,f1532,f534,f1564,f1464,f1581,f1460,f1600,f1601,f1638,f580,f1465,f1761,f1762,f1468,f1792,f1793,f1796,f1800,f1801,f1802,f1803,f1512,f1822,f1823,f1826,f1830,f1831,f1832,f1833,f1606,f1868,f1904,f1874,f1891,f1895,f1767,f1939,f1980,f1946,f1964,f1968,f1884,f2051,f2038,f2052,f2053,f2054,f2043,f2055,f2045,f2046,f2047,f1903,f2066,f2074,f2078,f2081,f1958,f2107,f2122,f2126,f2112,f2127,f2128,f2116,f2117,f2118,f1976,f2146,f2154,f2158,f2161,f1595,f2253,f2297,f2265,f2298,f2299,f2300,f2270,f2301,f2272,f2273,f2274,f1596,f2343,f2344,f2349,f2381,f2331,f2382,f2383,f2384,f2336,f2385,f2338,f2339,f2340,f1756,f2411,f2456,f2423,f2457,f2458,f2459,f2428,f2460,f2430,f2431,f2432,f2461,f1757,f2506,f2507,f2508,f2509,f2510,f2546,f2493,f2547,f2548,f2549,f2498,f2550,f2500,f2501,f2502,f2551,f1890,f2575,f2612,f2616,f2580,f2617,f2618,f2584,f2585,f2586,f2623,f1894,f2671,f2675,f2678,f2679,f2680,f2653,f2710,f2714,f2658,f2715,f2716,f2662,f2663,f2664,f2720,f1963,f2744,f2782,f2786,f2749,f2787,f2788,f2753,f2754,f2755,f2789,f2794,f1967,f2847,f2850,f2854,f2855,f2856,f2859,f2860,f2830,f2890,f2894,f2835,f2895,f2896,f2839,f2840,f2841,f2897,f2901,f2036,f2933,f2041,f2954,f2263,f3010,f3015,f3020,f3021,f3022,f3027,f3028,f2975,f2999,f3093,f2268,f3106,f3157,f3162,f3167,f3168,f3169,f3174,f3175,f3118,f3217,f2329,f3298,f3299,f3300,f3301,f3314,f3315,f3316,f3358,f2334,f3405,f3406,f3407,f3408,f3421,f3422,f3423,f3486,f2421,f3538,f3543,f3548,f3549,f3550,f3551,f3552,f3499,f3523,f3617,f2426,f3630,f3685,f3690,f3695,f3696,f3697,f3698,f3699,f3642,f3741,f2491,f3812,f3813,f3814,f3815,f3816,f3817,f3818,f3872,f2496,f3919,f3920,f3921,f3922,f3923,f3924,f3925,f4000,f3890,f3889,f3769,f3768,f3647,f3646,f3504,f3503,f3376,f3375,f3255,f3254,f3123,f3122,f2980,f2979,f1682,f1206,f1678,f1677,f1135,f857,f2815,f2814,f2638,f2637,f2474,f2473,f2312,f2311,f1683,f1499,f1300,f965,f1955,f1954,f1883,f1882,f1496,f1108,f1498,f1059,f4106,f989,f4269,f4270,f4271,f4272,f4275,f4279,f4280,f4281,f4282,f1497,f4295,f4296,f4297,f4298,f4301,f4305,f4306,f4307,f4308,f5,f4439,f33,f4349,f4441,f9,f4442,f4443,f4456,f4457,f21,f4458,f1645]) ).
fof(f4435,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_12
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f4434]) ).
fof(f4434,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_12
| spl0_13 ),
inference(subsumption_resolution,[],[f4433,f4106]) ).
fof(f4433,plain,
( identity = sk_c8
| spl0_1
| ~ spl0_2
| ~ spl0_12 ),
inference(forward_demodulation,[],[f79,f1646]) ).
fof(f4340,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f4339]) ).
fof(f4339,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f4338,f4106]) ).
fof(f4338,plain,
( identity = sk_c8
| ~ spl0_1
| ~ spl0_2
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f4326,f2]) ).
fof(f4326,plain,
( sk_c8 = multiply(inverse(identity),identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f60,f4318]) ).
fof(f4318,plain,
( identity = multiply(identity,sk_c8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f4317,f4106]) ).
fof(f4317,plain,
( identity = sk_c8
| identity = multiply(identity,sk_c8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_12
| ~ spl0_14 ),
inference(forward_demodulation,[],[f4019,f4111]) ).
fof(f4019,plain,
( identity = multiply(identity,sk_c8)
| sk_c8 = sk_c5
| ~ spl0_1
| ~ spl0_2
| ~ spl0_12 ),
inference(forward_demodulation,[],[f4018,f1646]) ).
fof(f4018,plain,
( sk_c9 = multiply(identity,sk_c8)
| sk_c8 = sk_c5
| ~ spl0_1
| ~ spl0_2
| ~ spl0_12 ),
inference(forward_demodulation,[],[f4017,f1653]) ).
fof(f4017,plain,
( sk_c9 = multiply(sk_c1,sk_c8)
| sk_c8 = sk_c5
| ~ spl0_1
| ~ spl0_2
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2236,f1486]) ).
fof(f2236,plain,
( sk_c8 = sk_c5
| sk_c9 = multiply(sk_c6,sk_c8)
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2235,f1]) ).
fof(f2235,plain,
( sk_c8 = multiply(identity,sk_c5)
| sk_c9 = multiply(sk_c6,sk_c8)
| ~ spl0_12 ),
inference(forward_demodulation,[],[f25,f1646]) ).
fof(f4331,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f4330]) ).
fof(f4330,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f4321,f4106]) ).
fof(f4321,plain,
( identity = sk_c8
| ~ spl0_1
| ~ spl0_2
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f1,f4318]) ).
fof(f4329,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f4328]) ).
fof(f4328,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f4319,f4106]) ).
fof(f4319,plain,
( identity = sk_c8
| ~ spl0_1
| ~ spl0_2
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f4318,f1]) ).
fof(f4264,plain,
( spl0_8
| spl0_10
| spl0_9
| spl0_9
| spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f4224,f4105,f1644,f1357,f1357,f1357,f1360,f1354]) ).
fof(f4224,plain,
( ! [X3,X8,X9,X7,X4] :
( identity != multiply(X8,identity)
| identity != multiply(X9,identity)
| identity != multiply(X3,identity)
| identity != multiply(identity,X7)
| identity != multiply(inverse(X4),identity)
| identity != inverse(X3)
| identity != inverse(X8)
| identity != inverse(X7)
| identity != inverse(X9) )
| ~ spl0_12
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f4011,f4107]) ).
fof(f4112,plain,
( spl0_13
| spl0_14
| ~ spl0_1
| ~ spl0_2
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f4099,f1644,f1640,f44,f40,f4109,f4105]) ).
fof(f4099,plain,
( identity = sk_c5
| identity = sk_c8
| ~ spl0_1
| ~ spl0_2
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f4098,f1]) ).
fof(f4098,plain,
( sk_c5 = multiply(identity,identity)
| identity = sk_c8
| ~ spl0_1
| ~ spl0_2
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f4015,f4064]) ).
fof(f4015,plain,
( identity = sk_c8
| sk_c5 = multiply(sk_c4,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_12 ),
inference(forward_demodulation,[],[f4014,f1646]) ).
fof(f4014,plain,
( sk_c9 = sk_c8
| sk_c5 = multiply(sk_c4,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_12 ),
inference(forward_demodulation,[],[f4013,f1]) ).
fof(f4013,plain,
( sk_c9 = multiply(identity,sk_c8)
| sk_c5 = multiply(sk_c4,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_12 ),
inference(forward_demodulation,[],[f4012,f1653]) ).
fof(f4012,plain,
( sk_c9 = multiply(sk_c1,sk_c8)
| sk_c5 = multiply(sk_c4,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2956,f1486]) ).
fof(f2956,plain,
( sk_c5 = multiply(sk_c4,identity)
| sk_c9 = multiply(sk_c6,sk_c8)
| ~ spl0_12 ),
inference(forward_demodulation,[],[f29,f1646]) ).
fof(f4002,plain,
( spl0_8
| spl0_10
| spl0_9
| spl0_9
| spl0_9
| ~ spl0_1
| ~ spl0_2
| spl0_11
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f3228,f1644,f1640,f44,f40,f1357,f1357,f1357,f1360,f1354]) ).
fof(f3228,plain,
( ! [X3,X8,X9,X7,X4] :
( identity != multiply(X8,identity)
| identity != multiply(X9,identity)
| identity != multiply(X3,identity)
| identity != multiply(identity,X7)
| identity != multiply(inverse(X4),identity)
| identity != inverse(X3)
| identity != inverse(X8)
| identity != inverse(X7)
| identity != inverse(X9) )
| ~ spl0_1
| ~ spl0_2
| spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3227,f1646]) ).
fof(f3227,plain,
( ! [X3,X8,X9,X7,X4] :
( identity != multiply(X9,identity)
| identity != multiply(X3,identity)
| identity != multiply(identity,X7)
| identity != multiply(inverse(X4),identity)
| identity != inverse(X3)
| identity != inverse(X8)
| identity != inverse(X7)
| identity != inverse(X9)
| sk_c9 != multiply(X8,identity) )
| ~ spl0_1
| ~ spl0_2
| spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3226,f1646]) ).
fof(f3226,plain,
( ! [X3,X8,X9,X7,X4] :
( identity != multiply(X3,identity)
| identity != multiply(identity,X7)
| identity != multiply(inverse(X4),identity)
| identity != inverse(X3)
| identity != inverse(X8)
| identity != inverse(X7)
| identity != inverse(X9)
| sk_c9 != multiply(X9,identity)
| sk_c9 != multiply(X8,identity) )
| ~ spl0_1
| ~ spl0_2
| spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3225,f1646]) ).
fof(f3225,plain,
( ! [X3,X8,X9,X7,X4] :
( identity != multiply(identity,X7)
| identity != multiply(inverse(X4),identity)
| identity != inverse(X3)
| identity != inverse(X8)
| identity != inverse(X7)
| identity != inverse(X9)
| sk_c9 != multiply(X3,identity)
| sk_c9 != multiply(X9,identity)
| sk_c9 != multiply(X8,identity) )
| ~ spl0_1
| ~ spl0_2
| spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3224,f443]) ).
fof(f3224,plain,
( ! [X3,X8,X9,X7,X4] :
( identity != multiply(identity,multiply(X7,identity))
| identity != multiply(inverse(X4),identity)
| identity != inverse(X3)
| identity != inverse(X8)
| identity != inverse(X7)
| identity != inverse(X9)
| sk_c9 != multiply(X3,identity)
| sk_c9 != multiply(X9,identity)
| sk_c9 != multiply(X8,identity) )
| ~ spl0_1
| ~ spl0_2
| spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3223,f1646]) ).
fof(f3223,plain,
( ! [X3,X8,X9,X7,X4] :
( identity != multiply(inverse(X4),identity)
| identity != inverse(X3)
| identity != inverse(X8)
| identity != inverse(X7)
| identity != inverse(X9)
| identity != multiply(sk_c9,multiply(X7,sk_c9))
| sk_c9 != multiply(X3,identity)
| sk_c9 != multiply(X9,identity)
| sk_c9 != multiply(X8,identity) )
| ~ spl0_1
| ~ spl0_2
| spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3222,f1646]) ).
fof(f3222,plain,
( ! [X3,X8,X9,X7,X4] :
( identity != inverse(X3)
| identity != inverse(X8)
| identity != inverse(X7)
| identity != inverse(X9)
| identity != multiply(inverse(X4),sk_c9)
| identity != multiply(sk_c9,multiply(X7,sk_c9))
| sk_c9 != multiply(X3,identity)
| sk_c9 != multiply(X9,identity)
| sk_c9 != multiply(X8,identity) )
| ~ spl0_1
| ~ spl0_2
| spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3221,f1646]) ).
fof(f3221,plain,
( ! [X3,X8,X9,X7,X4] :
( identity != inverse(X8)
| identity != inverse(X7)
| identity != inverse(X9)
| sk_c9 != inverse(X3)
| identity != multiply(inverse(X4),sk_c9)
| identity != multiply(sk_c9,multiply(X7,sk_c9))
| sk_c9 != multiply(X3,identity)
| sk_c9 != multiply(X9,identity)
| sk_c9 != multiply(X8,identity) )
| ~ spl0_1
| ~ spl0_2
| spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3220,f1646]) ).
fof(f3220,plain,
( ! [X3,X8,X9,X7,X4] :
( identity != inverse(X7)
| identity != inverse(X9)
| sk_c9 != inverse(X8)
| sk_c9 != inverse(X3)
| identity != multiply(inverse(X4),sk_c9)
| identity != multiply(sk_c9,multiply(X7,sk_c9))
| sk_c9 != multiply(X3,identity)
| sk_c9 != multiply(X9,identity)
| sk_c9 != multiply(X8,identity) )
| ~ spl0_1
| ~ spl0_2
| spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3219,f1646]) ).
fof(f3219,plain,
( ! [X3,X8,X9,X7,X4] :
( identity != inverse(X9)
| sk_c9 != inverse(X7)
| sk_c9 != inverse(X8)
| sk_c9 != inverse(X3)
| identity != multiply(inverse(X4),sk_c9)
| identity != multiply(sk_c9,multiply(X7,sk_c9))
| sk_c9 != multiply(X3,identity)
| sk_c9 != multiply(X9,identity)
| sk_c9 != multiply(X8,identity) )
| ~ spl0_1
| ~ spl0_2
| spl0_11
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f1427,f1705]) ).
fof(f1705,plain,
( identity = sk_c8
| ~ spl0_1
| ~ spl0_2
| spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f1704,f1]) ).
fof(f1704,plain,
( identity = multiply(identity,sk_c8)
| ~ spl0_1
| ~ spl0_2
| spl0_11
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f1703,f1667]) ).
fof(f1703,plain,
( identity = inverse(sk_c4)
| identity = multiply(identity,sk_c8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_12 ),
inference(forward_demodulation,[],[f1702,f1646]) ).
fof(f1702,plain,
( identity = multiply(identity,sk_c8)
| sk_c9 = inverse(sk_c4)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_12 ),
inference(forward_demodulation,[],[f1701,f1646]) ).
fof(f1701,plain,
( sk_c9 = multiply(identity,sk_c8)
| sk_c9 = inverse(sk_c4)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_12 ),
inference(forward_demodulation,[],[f1582,f1653]) ).
fof(f1582,plain,
( sk_c9 = multiply(sk_c1,sk_c8)
| sk_c9 = inverse(sk_c4)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f33,f1486]) ).
fof(f1647,plain,
( spl0_11
| spl0_12
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f1638,f153,f1644,f1640]) ).
fof(f1438,plain,
( spl0_2
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f1437]) ).
fof(f1437,plain,
( $false
| spl0_2
| spl0_7 ),
inference(global_subsumption,[],[f16,f1,f2,f4,f3,f38,f30,f29,f26,f25,f22,f21,f14,f13,f10,f9,f34,f33,f31,f27,f23,f18,f17,f15,f11,f6,f5,f35,f7,f19,f158,f166,f170,f168,f60,f286,f283,f411,f401,f417,f428,f419,f416,f293,f446,f447,f449,f450,f443,f497,f478,f505,f469,f516,f517,f442,f573,f550,f444,f592,f602,f539,f635,f663,f787,f810,f813,f808,f820,f830,f849,f950,f859,f860,f862,f863,f898,f958,f968,f991,f992,f993,f994,f986,f1069,f1072,f1073,f1074,f1075,f812,f1119,f1125,f1137,f1138,f1139,f1140,f1142,f1143,f904,f1199,f1208,f1209,f1229,f1233,f1235,f1165,f1313,f1319,f1323,f1325,f1223,f1222,f1207,f1134,f981,f980,f966,f856,f841,f828,f1404,f656,f655,f1412,f598,f1418,f301,f292,f1426,f1427,f172,f28,f1430,f24,f1431,f20,f1432,f12,f1433,f8,f1434,f32,f1435,f1436,f45]) ).
fof(f1362,plain,
( spl0_8
| spl0_9
| spl0_9
| spl0_9
| spl0_10
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(avatar_split_clause,[],[f625,f157,f153,f44,f1360,f1357,f1357,f1357,f1354]) ).
fof(f625,plain,
( ! [X3,X8,X9,X7,X4] :
( identity != multiply(identity,X7)
| identity != inverse(X3)
| identity != inverse(X8)
| identity != inverse(X7)
| identity != inverse(X9)
| identity != multiply(inverse(X4),identity)
| identity != multiply(X3,identity)
| identity != multiply(X9,identity)
| identity != multiply(X8,identity) )
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(subsumption_resolution,[],[f528,f442]) ).
fof(f528,plain,
( ! [X3,X8,X9,X7,X4] :
( identity != multiply(identity,X7)
| identity != inverse(X3)
| identity != inverse(X8)
| identity != inverse(X7)
| identity != inverse(X9)
| identity != multiply(inverse(X4),identity)
| identity != multiply(X4,inverse(X4))
| identity != multiply(X3,identity)
| identity != multiply(X9,identity)
| identity != multiply(X8,identity) )
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f392,f443]) ).
fof(f392,plain,
( ! [X3,X8,X9,X7,X4] :
( identity != inverse(X3)
| identity != inverse(X8)
| identity != inverse(X7)
| identity != inverse(X9)
| identity != multiply(inverse(X4),identity)
| identity != multiply(identity,multiply(X7,identity))
| identity != multiply(X4,inverse(X4))
| identity != multiply(X3,identity)
| identity != multiply(X9,identity)
| identity != multiply(X8,identity) )
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f391,f323]) ).
fof(f391,plain,
( ! [X3,X8,X9,X7,X4] :
( identity != inverse(X8)
| identity != inverse(X7)
| identity != inverse(X9)
| identity != multiply(inverse(X4),identity)
| identity != multiply(identity,multiply(X7,identity))
| identity != multiply(X4,inverse(X4))
| identity != multiply(X3,identity)
| identity != multiply(X9,identity)
| identity != multiply(X8,identity)
| sk_c9 != inverse(X3) )
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f390,f323]) ).
fof(f390,plain,
( ! [X3,X8,X9,X7,X4] :
( identity != inverse(X7)
| identity != inverse(X9)
| identity != multiply(inverse(X4),identity)
| identity != multiply(identity,multiply(X7,identity))
| identity != multiply(X4,inverse(X4))
| identity != multiply(X3,identity)
| identity != multiply(X9,identity)
| identity != multiply(X8,identity)
| sk_c9 != inverse(X8)
| sk_c9 != inverse(X3) )
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f389,f323]) ).
fof(f389,plain,
( ! [X3,X8,X9,X7,X4] :
( identity != inverse(X9)
| identity != multiply(inverse(X4),identity)
| identity != multiply(identity,multiply(X7,identity))
| identity != multiply(X4,inverse(X4))
| identity != multiply(X3,identity)
| identity != multiply(X9,identity)
| identity != multiply(X8,identity)
| sk_c9 != inverse(X7)
| sk_c9 != inverse(X8)
| sk_c9 != inverse(X3) )
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f388,f323]) ).
fof(f388,plain,
( ! [X3,X8,X9,X7,X4] :
( identity != multiply(inverse(X4),identity)
| identity != multiply(identity,multiply(X7,identity))
| identity != multiply(X4,inverse(X4))
| identity != multiply(X3,identity)
| identity != multiply(X9,identity)
| identity != multiply(X8,identity)
| sk_c9 != inverse(X9)
| sk_c9 != inverse(X7)
| sk_c9 != inverse(X8)
| sk_c9 != inverse(X3) )
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f387,f323]) ).
fof(f387,plain,
( ! [X3,X8,X9,X7,X4] :
( identity != multiply(identity,multiply(X7,identity))
| identity != multiply(X4,inverse(X4))
| identity != multiply(X3,identity)
| identity != multiply(X9,identity)
| identity != multiply(X8,identity)
| sk_c9 != multiply(inverse(X4),sk_c9)
| sk_c9 != inverse(X9)
| sk_c9 != inverse(X7)
| sk_c9 != inverse(X8)
| sk_c9 != inverse(X3) )
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f386,f323]) ).
fof(f386,plain,
( ! [X3,X8,X9,X7,X4] :
( identity != multiply(X4,inverse(X4))
| identity != multiply(X3,identity)
| identity != multiply(X9,identity)
| identity != multiply(X8,identity)
| sk_c9 != multiply(sk_c9,multiply(X7,sk_c9))
| sk_c9 != multiply(inverse(X4),sk_c9)
| sk_c9 != inverse(X9)
| sk_c9 != inverse(X7)
| sk_c9 != inverse(X8)
| sk_c9 != inverse(X3) )
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f385,f323]) ).
fof(f385,plain,
( ! [X3,X8,X9,X7,X4] :
( identity != multiply(X3,identity)
| identity != multiply(X9,identity)
| identity != multiply(X8,identity)
| sk_c9 != multiply(X4,inverse(X4))
| sk_c9 != multiply(sk_c9,multiply(X7,sk_c9))
| sk_c9 != multiply(inverse(X4),sk_c9)
| sk_c9 != inverse(X9)
| sk_c9 != inverse(X7)
| sk_c9 != inverse(X8)
| sk_c9 != inverse(X3) )
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f384,f323]) ).
fof(f384,plain,
( ! [X3,X8,X9,X7,X4] :
( identity != multiply(X9,identity)
| identity != multiply(X8,identity)
| sk_c9 != multiply(X3,sk_c9)
| sk_c9 != multiply(X4,inverse(X4))
| sk_c9 != multiply(sk_c9,multiply(X7,sk_c9))
| sk_c9 != multiply(inverse(X4),sk_c9)
| sk_c9 != inverse(X9)
| sk_c9 != inverse(X7)
| sk_c9 != inverse(X8)
| sk_c9 != inverse(X3) )
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f383,f323]) ).
fof(f383,plain,
( ! [X3,X8,X9,X7,X4] :
( identity != multiply(X8,identity)
| sk_c9 != multiply(X9,sk_c9)
| sk_c9 != multiply(X3,sk_c9)
| sk_c9 != multiply(X4,inverse(X4))
| sk_c9 != multiply(sk_c9,multiply(X7,sk_c9))
| sk_c9 != multiply(inverse(X4),sk_c9)
| sk_c9 != inverse(X9)
| sk_c9 != inverse(X7)
| sk_c9 != inverse(X8)
| sk_c9 != inverse(X3) )
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f277,f323]) ).
fof(f277,plain,
( ! [X3,X8,X9,X7,X4] :
( sk_c9 != multiply(X8,sk_c9)
| sk_c9 != multiply(X9,sk_c9)
| sk_c9 != multiply(X3,sk_c9)
| sk_c9 != multiply(X4,inverse(X4))
| sk_c9 != multiply(sk_c9,multiply(X7,sk_c9))
| sk_c9 != multiply(inverse(X4),sk_c9)
| sk_c9 != inverse(X9)
| sk_c9 != inverse(X7)
| sk_c9 != inverse(X8)
| sk_c9 != inverse(X3) )
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f276,f180]) ).
fof(f276,plain,
( ! [X3,X8,X9,X7,X4] :
( sk_c9 != multiply(X9,sk_c9)
| sk_c9 != multiply(X3,sk_c9)
| sk_c9 != multiply(X4,inverse(X4))
| sk_c9 != multiply(sk_c9,multiply(X7,sk_c9))
| sk_c9 != multiply(inverse(X4),sk_c9)
| sk_c9 != inverse(X9)
| sk_c9 != inverse(X7)
| sk_c9 != inverse(X8)
| sk_c9 != inverse(X3)
| sk_c9 != multiply(X8,sk_c8) )
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f275,f180]) ).
fof(f275,plain,
( ! [X3,X8,X9,X7,X4] :
( sk_c9 != multiply(X3,sk_c9)
| sk_c9 != multiply(X4,inverse(X4))
| sk_c9 != multiply(sk_c9,multiply(X7,sk_c9))
| sk_c9 != multiply(inverse(X4),sk_c9)
| sk_c9 != inverse(X9)
| sk_c9 != inverse(X7)
| sk_c9 != inverse(X8)
| sk_c9 != inverse(X3)
| sk_c9 != multiply(X9,sk_c8)
| sk_c9 != multiply(X8,sk_c8) )
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f274,f180]) ).
fof(f274,plain,
( ! [X3,X8,X9,X7,X4] :
( sk_c9 != multiply(X4,inverse(X4))
| sk_c9 != multiply(sk_c9,multiply(X7,sk_c9))
| sk_c9 != multiply(inverse(X4),sk_c9)
| sk_c9 != inverse(X9)
| sk_c9 != inverse(X7)
| sk_c9 != inverse(X8)
| sk_c9 != inverse(X3)
| sk_c9 != multiply(X3,sk_c8)
| sk_c9 != multiply(X9,sk_c8)
| sk_c9 != multiply(X8,sk_c8) )
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f273,f180]) ).
fof(f273,plain,
( ! [X3,X8,X9,X7,X4] :
( sk_c9 != multiply(sk_c9,multiply(X7,sk_c9))
| sk_c9 != multiply(inverse(X4),sk_c9)
| sk_c9 != inverse(X9)
| sk_c9 != inverse(X7)
| sk_c9 != inverse(X8)
| sk_c9 != inverse(X3)
| sk_c8 != multiply(X4,inverse(X4))
| sk_c9 != multiply(X3,sk_c8)
| sk_c9 != multiply(X9,sk_c8)
| sk_c9 != multiply(X8,sk_c8) )
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f272,f180]) ).
fof(f272,plain,
( ! [X3,X8,X9,X7,X4] :
( sk_c9 != multiply(inverse(X4),sk_c9)
| sk_c9 != inverse(X9)
| sk_c9 != inverse(X7)
| sk_c9 != inverse(X8)
| sk_c9 != inverse(X3)
| sk_c8 != multiply(sk_c9,multiply(X7,sk_c9))
| sk_c8 != multiply(X4,inverse(X4))
| sk_c9 != multiply(X3,sk_c8)
| sk_c9 != multiply(X9,sk_c8)
| sk_c9 != multiply(X8,sk_c8) )
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f271,f180]) ).
fof(f271,plain,
( ! [X3,X8,X9,X7,X4] :
( sk_c9 != inverse(X9)
| sk_c9 != inverse(X7)
| sk_c9 != inverse(X8)
| sk_c9 != inverse(X3)
| sk_c8 != multiply(inverse(X4),sk_c9)
| sk_c8 != multiply(sk_c9,multiply(X7,sk_c9))
| sk_c8 != multiply(X4,inverse(X4))
| sk_c9 != multiply(X3,sk_c8)
| sk_c9 != multiply(X9,sk_c8)
| sk_c9 != multiply(X8,sk_c8) )
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f38,f180]) ).
fof(f160,plain,
( spl0_6
| spl0_7 ),
inference(avatar_split_clause,[],[f19,f157,f153]) ).
fof(f146,plain,
( spl0_3
| spl0_4
| spl0_5
| spl0_5
| spl0_5
| spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f96,f44,f40,f144,f144,f144,f141,f138]) ).
fof(f138,plain,
( spl0_3
<=> ! [X7] :
( sk_c9 != multiply(sk_c9,multiply(X7,sk_c9))
| sk_c9 != inverse(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f144,plain,
( spl0_5
<=> ! [X3] :
( sk_c9 != multiply(X3,sk_c9)
| sk_c9 != inverse(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f96,plain,
( ! [X3,X8,X9,X7,X4] :
( sk_c9 != multiply(X8,sk_c9)
| sk_c9 != multiply(X9,sk_c9)
| sk_c9 != multiply(X3,sk_c9)
| sk_c9 != multiply(X4,inverse(X4))
| sk_c9 != multiply(sk_c9,multiply(X7,sk_c9))
| sk_c9 != multiply(inverse(X4),sk_c9)
| sk_c9 != inverse(X9)
| sk_c9 != inverse(X7)
| sk_c9 != inverse(X8)
| sk_c9 != inverse(X3) )
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f95,f79]) ).
fof(f95,plain,
( ! [X3,X8,X9,X7,X4] :
( sk_c9 != multiply(X9,sk_c9)
| sk_c9 != multiply(X3,sk_c9)
| sk_c9 != multiply(X4,inverse(X4))
| sk_c9 != multiply(sk_c9,multiply(X7,sk_c9))
| sk_c9 != multiply(inverse(X4),sk_c9)
| sk_c9 != inverse(X9)
| sk_c9 != inverse(X7)
| sk_c9 != inverse(X8)
| sk_c9 != inverse(X3)
| sk_c9 != multiply(X8,sk_c8) )
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f94,f79]) ).
fof(f94,plain,
( ! [X3,X8,X9,X7,X4] :
( sk_c9 != multiply(X3,sk_c9)
| sk_c9 != multiply(X4,inverse(X4))
| sk_c9 != multiply(sk_c9,multiply(X7,sk_c9))
| sk_c9 != multiply(inverse(X4),sk_c9)
| sk_c9 != inverse(X9)
| sk_c9 != inverse(X7)
| sk_c9 != inverse(X8)
| sk_c9 != inverse(X3)
| sk_c9 != multiply(X9,sk_c8)
| sk_c9 != multiply(X8,sk_c8) )
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f93,f79]) ).
fof(f93,plain,
( ! [X3,X8,X9,X7,X4] :
( sk_c9 != multiply(X4,inverse(X4))
| sk_c9 != multiply(sk_c9,multiply(X7,sk_c9))
| sk_c9 != multiply(inverse(X4),sk_c9)
| sk_c9 != inverse(X9)
| sk_c9 != inverse(X7)
| sk_c9 != inverse(X8)
| sk_c9 != inverse(X3)
| sk_c9 != multiply(X3,sk_c8)
| sk_c9 != multiply(X9,sk_c8)
| sk_c9 != multiply(X8,sk_c8) )
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f92,f79]) ).
fof(f92,plain,
( ! [X3,X8,X9,X7,X4] :
( sk_c9 != multiply(sk_c9,multiply(X7,sk_c9))
| sk_c9 != multiply(inverse(X4),sk_c9)
| sk_c9 != inverse(X9)
| sk_c9 != inverse(X7)
| sk_c9 != inverse(X8)
| sk_c9 != inverse(X3)
| sk_c8 != multiply(X4,inverse(X4))
| sk_c9 != multiply(X3,sk_c8)
| sk_c9 != multiply(X9,sk_c8)
| sk_c9 != multiply(X8,sk_c8) )
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f91,f79]) ).
fof(f91,plain,
( ! [X3,X8,X9,X7,X4] :
( sk_c9 != multiply(inverse(X4),sk_c9)
| sk_c9 != inverse(X9)
| sk_c9 != inverse(X7)
| sk_c9 != inverse(X8)
| sk_c9 != inverse(X3)
| sk_c8 != multiply(sk_c9,multiply(X7,sk_c9))
| sk_c8 != multiply(X4,inverse(X4))
| sk_c9 != multiply(X3,sk_c8)
| sk_c9 != multiply(X9,sk_c8)
| sk_c9 != multiply(X8,sk_c8) )
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f90,f79]) ).
fof(f90,plain,
( ! [X3,X8,X9,X7,X4] :
( sk_c9 != inverse(X9)
| sk_c9 != inverse(X7)
| sk_c9 != inverse(X8)
| sk_c9 != inverse(X3)
| sk_c8 != multiply(inverse(X4),sk_c9)
| sk_c8 != multiply(sk_c9,multiply(X7,sk_c9))
| sk_c8 != multiply(X4,inverse(X4))
| sk_c9 != multiply(X3,sk_c8)
| sk_c9 != multiply(X9,sk_c8)
| sk_c9 != multiply(X8,sk_c8) )
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f38,f79]) ).
fof(f47,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f4,f44,f40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP219-1 : TPTP v8.1.2. Released v2.5.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n017.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 04:07:04 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (21330)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (21333)WARNING: value z3 for option sas not known
% 0.14/0.37 % (21334)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (21332)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (21336)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.37 % (21337)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.37 % (21335)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.37 % (21331)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (21333)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.39 TRYING [4]
% 0.14/0.39 TRYING [3]
% 0.14/0.41 TRYING [5]
% 0.20/0.42 TRYING [4]
% 0.20/0.45 TRYING [6]
% 0.20/0.51 TRYING [7]
% 0.20/0.53 % (21333)First to succeed.
% 0.20/0.54 % (21333)Refutation found. Thanks to Tanya!
% 0.20/0.54 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.55 % (21333)------------------------------
% 0.20/0.55 % (21333)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.20/0.55 % (21333)Termination reason: Refutation
% 0.20/0.55
% 0.20/0.55 % (21333)Memory used [KB]: 2892
% 0.20/0.55 % (21333)Time elapsed: 0.170 s
% 0.20/0.55 % (21333)Instructions burned: 445 (million)
% 0.20/0.55 % (21333)------------------------------
% 0.20/0.55 % (21333)------------------------------
% 0.20/0.55 % (21330)Success in time 0.187 s
%------------------------------------------------------------------------------