TSTP Solution File: SYO500^1.007 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYO500^1.007 : TPTP v8.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n029.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 May 21 09:11:39 EDT 2024
% Result : Theorem 13.99s 2.39s
% Output : Refutation 14.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 237
% Syntax : Number of formulae : 5385 ( 5 unt; 16 typ; 0 def)
% Number of atoms : 70385 (4476 equ; 0 cnn)
% Maximal formula atoms : 12 ( 13 avg)
% Number of connectives : 34162 (16258 ~;17685 |; 0 &; 0 @)
% ( 219 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 25 ( 24 >; 1 *; 0 +; 0 <<)
% Number of symbols : 239 ( 236 usr; 222 con; 0-6 aty)
% Number of variables : 50 ( 0 ^ 44 !; 0 ?; 50 :)
% ( 6 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
x: $o ).
thf(func_def_1,type,
f0: $o > $o ).
thf(func_def_2,type,
f1: $o > $o ).
thf(func_def_3,type,
f2: $o > $o ).
thf(func_def_4,type,
f3: $o > $o ).
thf(func_def_5,type,
f4: $o > $o ).
thf(func_def_6,type,
f5: $o > $o ).
thf(func_def_7,type,
f6: $o > $o ).
thf(func_def_12,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_13,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_14,type,
vAND: $o > $o > $o ).
thf(func_def_15,type,
vOR: $o > $o > $o ).
thf(func_def_16,type,
vIMP: $o > $o > $o ).
thf(func_def_17,type,
vNOT: $o > $o ).
thf(func_def_18,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(f93941,plain,
$false,
inference(avatar_sat_refutation,[],[f17,f26,f85,f94,f103,f112,f121,f130,f139,f148,f157,f166,f175,f184,f187,f343,f374,f391,f407,f422,f449,f461,f472,f498,f510,f592,f634,f642,f655,f832,f841,f862,f882,f901,f919,f936,f952,f967,f981,f994,f1012,f1015,f1022,f1023,f1025,f1026,f1107,f1222,f1235,f1458,f1548,f1624,f1661,f1666,f1671,f1679,f1680,f1707,f1737,f1755,f1757,f1997,f2000,f2036,f2074,f2076,f2169,f2244,f2270,f2271,f2420,f2425,f2434,f2441,f2583,f2649,f2678,f2690,f2768,f3091,f3260,f3266,f3272,f3282,f3313,f3439,f3455,f3921,f3997,f4016,f4395,f4576,f4578,f4609,f4610,f4615,f4768,f4892,f5038,f5045,f5077,f5141,f5149,f5150,f5197,f5201,f5217,f5227,f5244,f5245,f5355,f5367,f5500,f5510,f5564,f5580,f5606,f5620,f5632,f5635,f5845,f6200,f6215,f6317,f6346,f6377,f6450,f6517,f6543,f6554,f6565,f6731,f6844,f6910,f7005,f7163,f7249,f7253,f7298,f7301,f7462,f7580,f7607,f7638,f7914,f8027,f8071,f8120,f8250,f8273,f8340,f8538,f8620,f8632,f8650,f8658,f8703,f8794,f8854,f8899,f8922,f8953,f8959,f9102,f9128,f9129,f9289,f9323,f9390,f9403,f9407,f9561,f9633,f9653,f9657,f9662,f9663,f9672,f9861,f9925,f10244,f10261,f10411,f10435,f10602,f10622,f10625,f10960,f10974,f10983,f11019,f11053,f11108,f11138,f11233,f11247,f11319,f11535,f11632,f11636,f11649,f11766,f11925,f12026,f12248,f12638,f12649,f12684,f12704,f13024,f13028,f13395,f13635,f13706,f13973,f14060,f14341,f14342,f14345,f14346,f14349,f14384,f14467,f14486,f14497,f14502,f14791,f15083,f15088,f15112,f15134,f15407,f15603,f15844,f15863,f15943,f16126,f16269,f16270,f16296,f16401,f16405,f16660,f16966,f16996,f17022,f17067,f17387,f17388,f17422,f17450,f17628,f17685,f17697,f18067,f18231,f18237,f18284,f19073,f19792,f19796,f19843,f19856,f19882,f20466,f20474,f20765,f21309,f22287,f22559,f22560,f22943,f22947,f22954,f22957,f22984,f23037,f23067,f23110,f23117,f23170,f23458,f23463,f23480,f23634,f23635,f23660,f23664,f23750,f24112,f24334,f24368,f24402,f24416,f24860,f24864,f25135,f25183,f25283,f25689,f25696,f25748,f26028,f26037,f26143,f27621,f28688,f28695,f28717,f28826,f28828,f28830,f29793,f29840,f30197,f30238,f30355,f30607,f30635,f30648,f30651,f31879,f31896,f31935,f31944,f31946,f32134,f32201,f33156,f33158,f33207,f33219,f33313,f33331,f33332,f33334,f33336,f33337,f33399,f33564,f33629,f33631,f33633,f33810,f33826,f33831,f33854,f33860,f34046,f34134,f34806,f34827,f35064,f35120,f35148,f35157,f35245,f35507,f35532,f35605,f35637,f35769,f35794,f36009,f36018,f36027,f36030,f36192,f36215,f36294,f36407,f36444,f36695,f36701,f36765,f36867,f36870,f36871,f36872,f36887,f36888,f36892,f36893,f36895,f36904,f36906,f37032,f37033,f37044,f37057,f37083,f37267,f37433,f37484,f37880,f37894,f37942,f38018,f38111,f38112,f38180,f38183,f38213,f38217,f38566,f38932,f39066,f39502,f39504,f39505,f39576,f39602,f39726,f39776,f40067,f40194,f40215,f40456,f40991,f41234,f41248,f41257,f41303,f41304,f41381,f41387,f41467,f41469,f41470,f41471,f41472,f41698,f41924,f42037,f42155,f42237,f42334,f42371,f42625,f42633,f42756,f43019,f43025,f43219,f43294,f43301,f43359,f43371,f43388,f43398,f43404,f43455,f43456,f43539,f43573,f43617,f43859,f43904,f43984,f44021,f44070,f44202,f44209,f44444,f44450,f44466,f44553,f44588,f44597,f44680,f44730,f44840,f44874,f44876,f45124,f45170,f45291,f45370,f45376,f45388,f45638,f45731,f45991,f46000,f46008,f46114,f47007,f47017,f47019,f47050,f47056,f47076,f47087,f47113,f47259,f47334,f47489,f47490,f47513,f47559,f47601,f47832,f47843,f47976,f48218,f48266,f48308,f48311,f48437,f48439,f48440,f48444,f48447,f48664,f48694,f48851,f49059,f49078,f49219,f49238,f49539,f49540,f49546,f49549,f49550,f49551,f51237,f51386,f51387,f51388,f51399,f51417,f51425,f51430,f51435,f51742,f51773,f51776,f51790,f51816,f51823,f51838,f51891,f51985,f52004,f52060,f52156,f52359,f52389,f52619,f52636,f52686,f52699,f52710,f52836,f53051,f53176,f53223,f53464,f54334,f54339,f54346,f54354,f54364,f54370,f55691,f58823,f58824,f58863,f58888,f59135,f59326,f59327,f59412,f59572,f59601,f59634,f59640,f59642,f59649,f59652,f59657,f59659,f59663,f60079,f60400,f60544,f60554,f60623,f60625,f60629,f60633,f60646,f60994,f61284,f61454,f61622,f62000,f62088,f62089,f62090,f62142,f62148,f62151,f62152,f62181,f62182,f62192,f62226,f62409,f62415,f62419,f62421,f62429,f62449,f62457,f62464,f62468,f62479,f62537,f62545,f62710,f62715,f62733,f62767,f62792,f62868,f62877,f62883,f63196,f63313,f63328,f63337,f63354,f63375,f63381,f63407,f63415,f63534,f63582,f63636,f63668,f63681,f63777,f63782,f63806,f63810,f63820,f63886,f64217,f64254,f64265,f64281,f64309,f64327,f64352,f64476,f64483,f64680,f64901,f64982,f65213,f65642,f65985,f65987,f66020,f66029,f66277,f66286,f66295,f66336,f66781,f66799,f66908,f66924,f67030,f67258,f67268,f67349,f68069,f68363,f68414,f69435,f69447,f69455,f73383,f73462,f73504,f73571,f73638,f73776,f73870,f73951,f73952,f73988,f74020,f74062,f74073,f74084,f74090,f74100,f74178,f74298,f74528,f74605,f74606,f74609,f74611,f74612,f74614,f74615,f74617,f74618,f74619,f74628,f74653,f74708,f75017,f75168,f75174,f75239,f75420,f75421,f75423,f75715,f75743,f75751,f75789,f75829,f75841,f75847,f75854,f76200,f76288,f76327,f76329,f76391,f76397,f76400,f76453,f76463,f76465,f76473,f76475,f76476,f76478,f76516,f76552,f76598,f76602,f76605,f76681,f76682,f76767,f76863,f76878,f77142,f77157,f77169,f77199,f77226,f77232,f77235,f77239,f77243,f77630,f77643,f77779,f77825,f77863,f77865,f78018,f78086,f78418,f78422,f78485,f78507,f78529,f78565,f78737,f78739,f78751,f78869,f78875,f78904,f78963,f79336,f79349,f79395,f79425,f79506,f79510,f79539,f79694,f79761,f79951,f79960,f79981,f80029,f80031,f80035,f80057,f80205,f80562,f80569,f80571,f80590,f80617,f80624,f80640,f80643,f80645,f80758,f80763,f81140,f81213,f81217,f81236,f81331,f81344,f81346,f81349,f81353,f81433,f81493,f81516,f81534,f81537,f81544,f81575,f81576,f81585,f81645,f81648,f81656,f81660,f81668,f81670,f81688,f81691,f81711,f81714,f81719,f81729,f81739,f81743,f81868,f81961,f82052,f82055,f82059,f82142,f82174,f82179,f82189,f82240,f82251,f82684,f82787,f82791,f82860,f82929,f83399,f83423,f83425,f83473,f83504,f83555,f83656,f83657,f83692,f83712,f83727,f83798,f83806,f83903,f84027,f84063,f84145,f84152,f84154,f84169,f84201,f84203,f84218,f84293,f84334,f84336,f84358,f84680,f84705,f84895,f84992,f84999,f85006,f85197,f85262,f85334,f85371,f85514,f85606,f85608,f85617,f85627,f85632,f85696,f85714,f85719,f85721,f85734,f85736,f86070,f86080,f86286,f86315,f86323,f86347,f86376,f87065,f87092,f87093,f87106,f87159,f87185,f87215,f87218,f87221,f87248,f87416,f87420,f87423,f87433,f87434,f87524,f87530,f87589,f87606,f87609,f87622,f87628,f87683,f88024,f88717,f88734,f89274,f90389,f91100,f91175,f91185,f91187,f91201,f91204,f91213,f91959,f91978,f92000,f92024,f92058,f92063,f92066,f92074,f92076,f92081,f92163,f92194,f92251,f92294,f92314,f92354,f92418,f92419,f92421,f92426,f92428,f92435,f92436,f92440,f92441,f92442,f92459,f92460,f92461,f92479,f92480,f92481,f92529,f92550,f92605,f92635,f92774,f92808,f92832,f92837,f92871,f92879,f92880,f92893,f92897,f92902,f92905,f92930,f92950,f92999,f93013,f93426,f93430,f93436,f93439,f93443,f93449,f93451,f93453,f93454,f93457,f93458,f93459,f93465,f93468,f93470,f93480,f93516,f93518,f93539,f93542,f93544,f93552,f93555,f93559,f93582,f93589,f93641,f93665,f93734,f93736,f93930]) ).
thf(f93930,plain,
( spl0_21
| ~ spl0_116
| ~ spl0_120
| ~ spl0_138
| ~ spl0_143
| ~ spl0_235 ),
inference(avatar_contradiction_clause,[],[f93929]) ).
thf(f93929,plain,
( $false
| spl0_21
| ~ spl0_116
| ~ spl0_120
| ~ spl0_138
| ~ spl0_143
| ~ spl0_235 ),
inference(subsumption_resolution,[],[f93928,f4461]) ).
thf(f4461,plain,
( ( $false = vAPP($o,$o,f3,$true) )
| ~ spl0_143 ),
inference(avatar_component_clause,[],[f4459]) ).
thf(f4459,plain,
( spl0_143
<=> ( $false = vAPP($o,$o,f3,$true) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).
thf(f93928,plain,
( ( $false != vAPP($o,$o,f3,$true) )
| spl0_21
| ~ spl0_116
| ~ spl0_120
| ~ spl0_138
| ~ spl0_143
| ~ spl0_235 ),
inference(forward_demodulation,[],[f93927,f4314]) ).
thf(f4314,plain,
( ( $true = vAPP($o,$o,f3,$false) )
| ~ spl0_138 ),
inference(avatar_component_clause,[],[f4312]) ).
thf(f4312,plain,
( spl0_138
<=> ( $true = vAPP($o,$o,f3,$false) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).
thf(f93927,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f3,$false)) )
| spl0_21
| ~ spl0_116
| ~ spl0_120
| ~ spl0_143
| ~ spl0_235 ),
inference(forward_demodulation,[],[f93926,f4461]) ).
thf(f93926,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$true))) )
| spl0_21
| ~ spl0_116
| ~ spl0_120
| ~ spl0_235 ),
inference(forward_demodulation,[],[f93925,f59613]) ).
thf(f59613,plain,
( ( $true = vAPP($o,$o,f4,$true) )
| ~ spl0_235 ),
inference(avatar_component_clause,[],[f59612]) ).
thf(f59612,plain,
( spl0_235
<=> ( $true = vAPP($o,$o,f4,$true) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_235])]) ).
thf(f93925,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$true)))) )
| spl0_21
| ~ spl0_116
| ~ spl0_120 ),
inference(forward_demodulation,[],[f93924,f3074]) ).
thf(f3074,plain,
( ( $true = vAPP($o,$o,f5,$true) )
| ~ spl0_120 ),
inference(avatar_component_clause,[],[f3072]) ).
thf(f3072,plain,
( spl0_120
<=> ( $true = vAPP($o,$o,f5,$true) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).
thf(f93924,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$true))))) )
| spl0_21
| ~ spl0_116
| ~ spl0_120 ),
inference(forward_demodulation,[],[f93923,f3074]) ).
thf(f93923,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$true)))))) )
| spl0_21
| ~ spl0_116
| ~ spl0_120 ),
inference(forward_demodulation,[],[f93922,f3074]) ).
thf(f93922,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true))))))) )
| spl0_21
| ~ spl0_116 ),
inference(forward_demodulation,[],[f142,f3024]) ).
thf(f3024,plain,
( ( vAPP($o,$o,f6,x) = $true )
| ~ spl0_116 ),
inference(avatar_component_clause,[],[f3022]) ).
thf(f3022,plain,
( spl0_116
<=> ( vAPP($o,$o,f6,x) = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).
thf(f142,plain,
( ( vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,x)))))))) != $false )
| spl0_21 ),
inference(avatar_component_clause,[],[f141]) ).
thf(f141,plain,
( spl0_21
<=> ( vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,x)))))))) = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
thf(f93736,plain,
( ~ spl0_93
| spl0_95
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f93735,f2417,f1748,f1668]) ).
thf(f1668,plain,
( spl0_93
<=> ( $false = vAPP($o,$o,f0,$false) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).
thf(f1748,plain,
( spl0_95
<=> ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).
thf(f2417,plain,
( spl0_104
<=> ( $false = vAPP($o,$o,f1,$true) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).
thf(f93735,plain,
( ( $false != vAPP($o,$o,f0,$false) )
| spl0_95
| ~ spl0_104 ),
inference(forward_demodulation,[],[f1749,f2419]) ).
thf(f2419,plain,
( ( $false = vAPP($o,$o,f1,$true) )
| ~ spl0_104 ),
inference(avatar_component_clause,[],[f2417]) ).
thf(f1749,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| spl0_95 ),
inference(avatar_component_clause,[],[f1748]) ).
thf(f93734,plain,
( spl0_56
| ~ spl0_97
| ~ spl0_99
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f93733,f2417,f2163,f2067,f484]) ).
thf(f484,plain,
( spl0_56
<=> ( $false = vAPP($o,$o,f0,$true) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
thf(f2067,plain,
( spl0_97
<=> ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).
thf(f2163,plain,
( spl0_99
<=> ( $true = vAPP($o,$o,f1,$false) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).
thf(f93733,plain,
( ( $false = vAPP($o,$o,f0,$true) )
| ~ spl0_97
| ~ spl0_99
| ~ spl0_104 ),
inference(forward_demodulation,[],[f93732,f2165]) ).
thf(f2165,plain,
( ( $true = vAPP($o,$o,f1,$false) )
| ~ spl0_99 ),
inference(avatar_component_clause,[],[f2163]) ).
thf(f93732,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ~ spl0_97
| ~ spl0_104 ),
inference(forward_demodulation,[],[f2069,f2419]) ).
thf(f2069,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) )
| ~ spl0_97 ),
inference(avatar_component_clause,[],[f2067]) ).
thf(f93665,plain,
( ~ spl0_102
| spl0_101
| ~ spl0_138 ),
inference(avatar_split_clause,[],[f93658,f4312,f2231,f2235]) ).
thf(f2235,plain,
( spl0_102
<=> ( $false = vAPP($o,$o,f2,$true) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).
thf(f2231,plain,
( spl0_101
<=> ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,$false)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).
thf(f93658,plain,
( ( $false != vAPP($o,$o,f2,$true) )
| spl0_101
| ~ spl0_138 ),
inference(backward_demodulation,[],[f2232,f4314]) ).
thf(f2232,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f3,$false)) )
| spl0_101 ),
inference(avatar_component_clause,[],[f2231]) ).
thf(f93641,plain,
( spl0_56
| ~ spl0_99
| ~ spl0_154 ),
inference(avatar_split_clause,[],[f93640,f5828,f2163,f484]) ).
thf(f5828,plain,
( spl0_154
<=> ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).
thf(f93640,plain,
( ( $false = vAPP($o,$o,f0,$true) )
| ~ spl0_99
| ~ spl0_154 ),
inference(forward_demodulation,[],[f5830,f2165]) ).
thf(f5830,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ~ spl0_154 ),
inference(avatar_component_clause,[],[f5828]) ).
thf(f93589,plain,
( spl0_94
| ~ spl0_22
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f93587,f33084,f145,f1674]) ).
thf(f1674,plain,
( spl0_94
<=> ( $true = vAPP($o,$o,f0,$false) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).
thf(f145,plain,
( spl0_22
<=> ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
thf(f33084,plain,
( spl0_193
<=> ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$true)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_193])]) ).
thf(f93587,plain,
( ( $true = vAPP($o,$o,f0,$false) )
| ~ spl0_22
| ~ spl0_193 ),
inference(backward_demodulation,[],[f147,f33086]) ).
thf(f33086,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$true)))) )
| ~ spl0_193 ),
inference(avatar_component_clause,[],[f33084]) ).
thf(f147,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))))) )
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f145]) ).
thf(f93582,plain,
( spl0_179
| ~ spl0_182
| ~ spl0_198 ),
inference(avatar_split_clause,[],[f93581,f33174,f31783,f30575]) ).
thf(f30575,plain,
( spl0_179
<=> ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,$true)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).
thf(f31783,plain,
( spl0_182
<=> ( $true = vAPP($o,$o,f2,vAPP($o,$o,f2,$true)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).
thf(f33174,plain,
( spl0_198
<=> ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_198])]) ).
thf(f93581,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,$true)) )
| ~ spl0_182
| ~ spl0_198 ),
inference(forward_demodulation,[],[f33176,f31785]) ).
thf(f31785,plain,
( ( $true = vAPP($o,$o,f2,vAPP($o,$o,f2,$true)) )
| ~ spl0_182 ),
inference(avatar_component_clause,[],[f31783]) ).
thf(f33176,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true)))) )
| ~ spl0_198 ),
inference(avatar_component_clause,[],[f33174]) ).
thf(f93559,plain,
( spl0_143
| ~ spl0_219
| ~ spl0_235 ),
inference(avatar_split_clause,[],[f93558,f59612,f51722,f4459]) ).
thf(f51722,plain,
( spl0_219
<=> ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$true)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_219])]) ).
thf(f93558,plain,
( ( $false = vAPP($o,$o,f3,$true) )
| ~ spl0_219
| ~ spl0_235 ),
inference(forward_demodulation,[],[f93557,f59613]) ).
thf(f93557,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,$true)) )
| ~ spl0_219
| ~ spl0_235 ),
inference(forward_demodulation,[],[f93556,f59613]) ).
thf(f93556,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$true))) )
| ~ spl0_219
| ~ spl0_235 ),
inference(forward_demodulation,[],[f51724,f59613]) ).
thf(f51724,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$true)))) )
| ~ spl0_219 ),
inference(avatar_component_clause,[],[f51722]) ).
thf(f93555,plain,
( spl0_143
| ~ spl0_222
| ~ spl0_235 ),
inference(avatar_split_clause,[],[f93554,f59612,f51737,f4459]) ).
thf(f51737,plain,
( spl0_222
<=> ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,$true)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_222])]) ).
thf(f93554,plain,
( ( $false = vAPP($o,$o,f3,$true) )
| ~ spl0_222
| ~ spl0_235 ),
inference(forward_demodulation,[],[f51739,f59613]) ).
thf(f51739,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,$true)) )
| ~ spl0_222 ),
inference(avatar_component_clause,[],[f51737]) ).
thf(f93552,plain,
( ~ spl0_93
| ~ spl0_208
| ~ spl0_230
| spl0_247 ),
inference(avatar_split_clause,[],[f93551,f62144,f58818,f43352,f1668]) ).
thf(f43352,plain,
( spl0_208
<=> ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,$false)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_208])]) ).
thf(f58818,plain,
( spl0_230
<=> ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$false))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_230])]) ).
thf(f62144,plain,
( spl0_247
<=> ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$false)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_247])]) ).
thf(f93551,plain,
( ( $false != vAPP($o,$o,f0,$false) )
| ~ spl0_208
| ~ spl0_230
| spl0_247 ),
inference(forward_demodulation,[],[f93549,f43354]) ).
thf(f43354,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,$false)) )
| ~ spl0_208 ),
inference(avatar_component_clause,[],[f43352]) ).
thf(f93549,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$false))) )
| ~ spl0_230
| spl0_247 ),
inference(backward_demodulation,[],[f62145,f58820]) ).
thf(f58820,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$false))) )
| ~ spl0_230 ),
inference(avatar_component_clause,[],[f58818]) ).
thf(f62145,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$false)))))) )
| spl0_247 ),
inference(avatar_component_clause,[],[f62144]) ).
thf(f93544,plain,
( ~ spl0_180
| spl0_234
| ~ spl0_235 ),
inference(avatar_split_clause,[],[f93543,f59612,f59605,f31775]) ).
thf(f31775,plain,
( spl0_180
<=> ( $true = vAPP($o,$o,f3,$true) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).
thf(f59605,plain,
( spl0_234
<=> ( $true = vAPP($o,$o,f3,vAPP($o,$o,f4,$true)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_234])]) ).
thf(f93543,plain,
( ( $true != vAPP($o,$o,f3,$true) )
| spl0_234
| ~ spl0_235 ),
inference(forward_demodulation,[],[f59607,f59613]) ).
thf(f59607,plain,
( ( $true != vAPP($o,$o,f3,vAPP($o,$o,f4,$true)) )
| spl0_234 ),
inference(avatar_component_clause,[],[f59605]) ).
thf(f93542,plain,
( spl0_56
| ~ spl0_62
| ~ spl0_99
| ~ spl0_239 ),
inference(avatar_split_clause,[],[f93541,f60534,f2163,f739,f484]) ).
thf(f739,plain,
( spl0_62
<=> ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
thf(f60534,plain,
( spl0_239
<=> ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$false)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_239])]) ).
thf(f93541,plain,
( ( $false = vAPP($o,$o,f0,$true) )
| ~ spl0_62
| ~ spl0_99
| ~ spl0_239 ),
inference(forward_demodulation,[],[f93540,f741]) ).
thf(f741,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ~ spl0_62 ),
inference(avatar_component_clause,[],[f739]) ).
thf(f93540,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ~ spl0_99
| ~ spl0_239 ),
inference(forward_demodulation,[],[f60535,f2165]) ).
thf(f60535,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$false)))) )
| ~ spl0_239 ),
inference(avatar_component_clause,[],[f60534]) ).
thf(f93539,plain,
( ~ spl0_141
| ~ spl0_235
| spl0_241 ),
inference(avatar_split_clause,[],[f93538,f60546,f59612,f4392]) ).
thf(f4392,plain,
( spl0_141
<=> ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,$true)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).
thf(f60546,plain,
( spl0_241
<=> ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_241])]) ).
thf(f93538,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f3,$true)) )
| ~ spl0_235
| spl0_241 ),
inference(forward_demodulation,[],[f60548,f59613]) ).
thf(f60548,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))) )
| spl0_241 ),
inference(avatar_component_clause,[],[f60546]) ).
thf(f93518,plain,
( ~ spl0_93
| ~ spl0_208
| spl0_260 ),
inference(avatar_split_clause,[],[f93517,f74533,f43352,f1668]) ).
thf(f74533,plain,
( spl0_260
<=> ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$false))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_260])]) ).
thf(f93517,plain,
( ( $false != vAPP($o,$o,f0,$false) )
| ~ spl0_208
| spl0_260 ),
inference(forward_demodulation,[],[f74535,f43354]) ).
thf(f74535,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$false))) )
| spl0_260 ),
inference(avatar_component_clause,[],[f74533]) ).
thf(f93516,plain,
( ~ spl0_141
| ~ spl0_235
| spl0_263 ),
inference(avatar_split_clause,[],[f93515,f74567,f59612,f4392]) ).
thf(f74567,plain,
( spl0_263
<=> ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$true))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_263])]) ).
thf(f93515,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f3,$true)) )
| ~ spl0_235
| spl0_263 ),
inference(forward_demodulation,[],[f93514,f59613]) ).
thf(f93514,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))) )
| ~ spl0_235
| spl0_263 ),
inference(forward_demodulation,[],[f93513,f59613]) ).
thf(f93513,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$true)))) )
| ~ spl0_235
| spl0_263 ),
inference(forward_demodulation,[],[f74568,f59613]) ).
thf(f74568,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$true))))) )
| spl0_263 ),
inference(avatar_component_clause,[],[f74567]) ).
thf(f93480,plain,
( spl0_20
| ~ spl0_16
| ~ spl0_233
| ~ spl0_235 ),
inference(avatar_split_clause,[],[f93476,f59612,f59598,f118,f136]) ).
thf(f136,plain,
( spl0_20
<=> ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$true)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
thf(f118,plain,
( spl0_16
<=> ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$true)))))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
thf(f59598,plain,
( spl0_233
<=> ( $true = vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_233])]) ).
thf(f93476,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$true)))))) )
| ~ spl0_16
| ~ spl0_233
| ~ spl0_235 ),
inference(backward_demodulation,[],[f120,f92872]) ).
thf(f92872,plain,
( ( $true = vAPP($o,$o,f3,vAPP($o,$o,f3,$true)) )
| ~ spl0_233
| ~ spl0_235 ),
inference(forward_demodulation,[],[f59599,f59613]) ).
thf(f59599,plain,
( ( $true = vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))) )
| ~ spl0_233 ),
inference(avatar_component_clause,[],[f59598]) ).
thf(f120,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$true)))))))) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f118]) ).
thf(f93470,plain,
( ~ spl0_132
| spl0_133
| ~ spl0_235 ),
inference(avatar_contradiction_clause,[],[f93469]) ).
thf(f93469,plain,
( $false
| ~ spl0_132
| spl0_133
| ~ spl0_235 ),
inference(subsumption_resolution,[],[f93005,f3276]) ).
thf(f3276,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$true)))))))) )
| spl0_133 ),
inference(avatar_component_clause,[],[f3275]) ).
thf(f3275,plain,
( spl0_133
<=> ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$true)))))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).
thf(f93005,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$true)))))))) )
| ~ spl0_132
| ~ spl0_235 ),
inference(forward_demodulation,[],[f3271,f59613]) ).
thf(f3271,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))))))))) )
| ~ spl0_132 ),
inference(avatar_component_clause,[],[f3269]) ).
thf(f3269,plain,
( spl0_132
<=> ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))))))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).
thf(f93468,plain,
( ~ spl0_120
| ~ spl0_130
| spl0_133
| ~ spl0_235 ),
inference(avatar_contradiction_clause,[],[f93467]) ).
thf(f93467,plain,
( $false
| ~ spl0_120
| ~ spl0_130
| spl0_133
| ~ spl0_235 ),
inference(subsumption_resolution,[],[f93022,f3276]) ).
thf(f93022,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$true)))))))) )
| ~ spl0_120
| ~ spl0_130
| ~ spl0_235 ),
inference(forward_demodulation,[],[f93021,f59613]) ).
thf(f93021,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))))))))) )
| ~ spl0_120
| ~ spl0_130 ),
inference(forward_demodulation,[],[f93020,f3074]) ).
thf(f93020,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$true)))))))))) )
| ~ spl0_120
| ~ spl0_130 ),
inference(forward_demodulation,[],[f3153,f3074]) ).
thf(f3153,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$true))))))))))) )
| ~ spl0_130 ),
inference(avatar_component_clause,[],[f3151]) ).
thf(f3151,plain,
( spl0_130
<=> ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$true))))))))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).
thf(f93465,plain,
( ~ spl0_91
| ~ spl0_120
| spl0_133
| ~ spl0_235 ),
inference(avatar_contradiction_clause,[],[f93464]) ).
thf(f93464,plain,
( $false
| ~ spl0_91
| ~ spl0_120
| spl0_133
| ~ spl0_235 ),
inference(subsumption_resolution,[],[f93054,f3276]) ).
thf(f93054,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$true)))))))) )
| ~ spl0_91
| ~ spl0_120
| ~ spl0_235 ),
inference(forward_demodulation,[],[f93053,f59613]) ).
thf(f93053,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))))))))) )
| ~ spl0_91
| ~ spl0_120 ),
inference(forward_demodulation,[],[f93052,f3074]) ).
thf(f93052,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$true)))))))))) )
| ~ spl0_91
| ~ spl0_120 ),
inference(forward_demodulation,[],[f93051,f3074]) ).
thf(f93051,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$true))))))))))) )
| ~ spl0_91
| ~ spl0_120 ),
inference(forward_demodulation,[],[f1660,f3074]) ).
thf(f1660,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true)))))))))))) )
| ~ spl0_91 ),
inference(avatar_component_clause,[],[f1658]) ).
thf(f1658,plain,
( spl0_91
<=> ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true)))))))))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).
thf(f93459,plain,
( spl0_72
| ~ spl0_70
| ~ spl0_235 ),
inference(avatar_split_clause,[],[f93157,f59612,f879,f898]) ).
thf(f898,plain,
( spl0_72
<=> ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$true)))))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
thf(f879,plain,
( spl0_70
<=> ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))))))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
thf(f93157,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$true)))))))) )
| ~ spl0_70
| ~ spl0_235 ),
inference(forward_demodulation,[],[f881,f59613]) ).
thf(f881,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))))))))) )
| ~ spl0_70 ),
inference(avatar_component_clause,[],[f879]) ).
thf(f93458,plain,
( spl0_72
| ~ spl0_68
| ~ spl0_235 ),
inference(avatar_split_clause,[],[f93166,f59612,f859,f898]) ).
thf(f859,plain,
( spl0_68
<=> ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$true)))))))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
thf(f93166,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$true)))))))) )
| ~ spl0_68
| ~ spl0_235 ),
inference(forward_demodulation,[],[f93165,f59613]) ).
thf(f93165,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))))))))) )
| ~ spl0_68
| ~ spl0_235 ),
inference(forward_demodulation,[],[f861,f59613]) ).
thf(f861,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$true)))))))))) )
| ~ spl0_68 ),
inference(avatar_component_clause,[],[f859]) ).
thf(f93457,plain,
( spl0_72
| ~ spl0_66
| ~ spl0_235 ),
inference(avatar_split_clause,[],[f93176,f59612,f838,f898]) ).
thf(f838,plain,
( spl0_66
<=> ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$true))))))))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
thf(f93176,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$true)))))))) )
| ~ spl0_66
| ~ spl0_235 ),
inference(forward_demodulation,[],[f93175,f59613]) ).
thf(f93175,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))))))))) )
| ~ spl0_66
| ~ spl0_235 ),
inference(forward_demodulation,[],[f93174,f59613]) ).
thf(f93174,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$true)))))))))) )
| ~ spl0_66
| ~ spl0_235 ),
inference(forward_demodulation,[],[f840,f59613]) ).
thf(f840,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$true))))))))))) )
| ~ spl0_66 ),
inference(avatar_component_clause,[],[f838]) ).
thf(f93454,plain,
( ~ spl0_43
| spl0_41
| ~ spl0_235 ),
inference(avatar_split_clause,[],[f93224,f59612,f388,f404]) ).
thf(f404,plain,
( spl0_43
<=> ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$true)))))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
thf(f388,plain,
( spl0_41
<=> ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))))))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
thf(f93224,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$true)))))))) )
| spl0_41
| ~ spl0_235 ),
inference(forward_demodulation,[],[f389,f59613]) ).
thf(f389,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))))))))) )
| spl0_41 ),
inference(avatar_component_clause,[],[f388]) ).
thf(f93453,plain,
( ~ spl0_43
| spl0_39
| ~ spl0_235 ),
inference(avatar_split_clause,[],[f93233,f59612,f371,f404]) ).
thf(f371,plain,
( spl0_39
<=> ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$true)))))))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
thf(f93233,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$true)))))))) )
| spl0_39
| ~ spl0_235 ),
inference(forward_demodulation,[],[f93232,f59613]) ).
thf(f93232,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))))))))) )
| spl0_39
| ~ spl0_235 ),
inference(forward_demodulation,[],[f372,f59613]) ).
thf(f372,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$true)))))))))) )
| spl0_39 ),
inference(avatar_component_clause,[],[f371]) ).
thf(f93451,plain,
( ~ spl0_43
| spl0_34
| ~ spl0_120
| ~ spl0_235 ),
inference(avatar_split_clause,[],[f93254,f59612,f3072,f340,f404]) ).
thf(f340,plain,
( spl0_34
<=> ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,$true)))))))))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
thf(f93254,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$true)))))))) )
| spl0_34
| ~ spl0_120
| ~ spl0_235 ),
inference(forward_demodulation,[],[f93253,f59613]) ).
thf(f93253,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))))))))) )
| spl0_34
| ~ spl0_120
| ~ spl0_235 ),
inference(forward_demodulation,[],[f93252,f59613]) ).
thf(f93252,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$true)))))))))) )
| spl0_34
| ~ spl0_120
| ~ spl0_235 ),
inference(forward_demodulation,[],[f93251,f59613]) ).
thf(f93251,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$true))))))))))) )
| spl0_34
| ~ spl0_120 ),
inference(forward_demodulation,[],[f341,f3074]) ).
thf(f341,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,$true)))))))))))) )
| spl0_34 ),
inference(avatar_component_clause,[],[f340]) ).
thf(f93449,plain,
( spl0_14
| ~ spl0_16
| ~ spl0_235 ),
inference(avatar_contradiction_clause,[],[f93448]) ).
thf(f93448,plain,
( $false
| spl0_14
| ~ spl0_16
| ~ spl0_235 ),
inference(subsumption_resolution,[],[f93310,f120]) ).
thf(f93310,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$true)))))))) )
| spl0_14
| ~ spl0_235 ),
inference(forward_demodulation,[],[f110,f59613]) ).
thf(f110,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))))))))) )
| spl0_14 ),
inference(avatar_component_clause,[],[f109]) ).
thf(f109,plain,
( spl0_14
<=> ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))))))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
thf(f93443,plain,
( spl0_8
| ~ spl0_16
| ~ spl0_120
| ~ spl0_235 ),
inference(avatar_contradiction_clause,[],[f93442]) ).
thf(f93442,plain,
( $false
| spl0_8
| ~ spl0_16
| ~ spl0_120
| ~ spl0_235 ),
inference(subsumption_resolution,[],[f93346,f120]) ).
thf(f93346,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$true)))))))) )
| spl0_8
| ~ spl0_120
| ~ spl0_235 ),
inference(forward_demodulation,[],[f93345,f59613]) ).
thf(f93345,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))))))))) )
| spl0_8
| ~ spl0_120 ),
inference(forward_demodulation,[],[f93344,f3074]) ).
thf(f93344,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$true)))))))))) )
| spl0_8
| ~ spl0_120 ),
inference(forward_demodulation,[],[f93343,f3074]) ).
thf(f93343,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$true))))))))))) )
| spl0_8
| ~ spl0_120 ),
inference(forward_demodulation,[],[f83,f3074]) ).
thf(f83,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true)))))))))))) )
| spl0_8 ),
inference(avatar_component_clause,[],[f82]) ).
thf(f82,plain,
( spl0_8
<=> ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true)))))))))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
thf(f93439,plain,
( ~ spl0_4
| ~ spl0_116
| ~ spl0_120
| spl0_133
| ~ spl0_235 ),
inference(avatar_contradiction_clause,[],[f93438]) ).
thf(f93438,plain,
( $false
| ~ spl0_4
| ~ spl0_116
| ~ spl0_120
| spl0_133
| ~ spl0_235 ),
inference(subsumption_resolution,[],[f93374,f3276]) ).
thf(f93374,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$true)))))))) )
| ~ spl0_4
| ~ spl0_116
| ~ spl0_120
| ~ spl0_235 ),
inference(forward_demodulation,[],[f93373,f59613]) ).
thf(f93373,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))))))))) )
| ~ spl0_4
| ~ spl0_116
| ~ spl0_120 ),
inference(forward_demodulation,[],[f93372,f3074]) ).
thf(f93372,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$true)))))))))) )
| ~ spl0_4
| ~ spl0_116
| ~ spl0_120 ),
inference(forward_demodulation,[],[f93371,f3074]) ).
thf(f93371,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$true))))))))))) )
| ~ spl0_4
| ~ spl0_116
| ~ spl0_120 ),
inference(forward_demodulation,[],[f93370,f3074]) ).
thf(f93370,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true)))))))))))) )
| ~ spl0_4
| ~ spl0_116 ),
inference(forward_demodulation,[],[f25,f3024]) ).
thf(f25,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,x))))))))))))) = $false )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f23]) ).
thf(f23,plain,
( spl0_4
<=> ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,x))))))))))))) = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
thf(f93436,plain,
( spl0_2
| ~ spl0_16
| ~ spl0_116
| ~ spl0_120
| ~ spl0_235 ),
inference(avatar_contradiction_clause,[],[f93435]) ).
thf(f93435,plain,
( $false
| spl0_2
| ~ spl0_16
| ~ spl0_116
| ~ spl0_120
| ~ spl0_235 ),
inference(subsumption_resolution,[],[f93402,f120]) ).
thf(f93402,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$true)))))))) )
| spl0_2
| ~ spl0_116
| ~ spl0_120
| ~ spl0_235 ),
inference(forward_demodulation,[],[f93401,f59613]) ).
thf(f93401,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))))))))) )
| spl0_2
| ~ spl0_116
| ~ spl0_120 ),
inference(forward_demodulation,[],[f93400,f3074]) ).
thf(f93400,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$true)))))))))) )
| spl0_2
| ~ spl0_116
| ~ spl0_120 ),
inference(forward_demodulation,[],[f93399,f3074]) ).
thf(f93399,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$true))))))))))) )
| spl0_2
| ~ spl0_116
| ~ spl0_120 ),
inference(forward_demodulation,[],[f93398,f3074]) ).
thf(f93398,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true)))))))))))) )
| spl0_2
| ~ spl0_116 ),
inference(forward_demodulation,[],[f15,f3024]) ).
thf(f15,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,x))))))))))))) != $true )
| spl0_2 ),
inference(avatar_component_clause,[],[f14]) ).
thf(f14,plain,
( spl0_2
<=> ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,x))))))))))))) = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
thf(f93430,plain,
( spl0_143
| ~ spl0_17
| ~ spl0_116
| ~ spl0_120
| ~ spl0_235 ),
inference(avatar_split_clause,[],[f93307,f59612,f3072,f3022,f123,f4459]) ).
thf(f123,plain,
( spl0_17
<=> ( vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,x)))))) = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
thf(f93307,plain,
( ( $false = vAPP($o,$o,f3,$true) )
| ~ spl0_17
| ~ spl0_116
| ~ spl0_120
| ~ spl0_235 ),
inference(forward_demodulation,[],[f93306,f59613]) ).
thf(f93306,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,$true)) )
| ~ spl0_17
| ~ spl0_116
| ~ spl0_120 ),
inference(forward_demodulation,[],[f93305,f3074]) ).
thf(f93305,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$true))) )
| ~ spl0_17
| ~ spl0_116
| ~ spl0_120 ),
inference(forward_demodulation,[],[f93304,f3074]) ).
thf(f93304,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$true)))) )
| ~ spl0_17
| ~ spl0_116
| ~ spl0_120 ),
inference(forward_demodulation,[],[f93303,f3074]) ).
thf(f93303,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true))))) )
| ~ spl0_17
| ~ spl0_116 ),
inference(forward_demodulation,[],[f125,f3024]) ).
thf(f125,plain,
( ( vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,x)))))) = $false )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f123]) ).
thf(f93426,plain,
( ~ spl0_94
| ~ spl0_99
| ~ spl0_104
| ~ spl0_174
| spl0_224 ),
inference(avatar_split_clause,[],[f92959,f55688,f22938,f2417,f2163,f1674]) ).
thf(f22938,plain,
( spl0_174
<=> ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,$false)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).
thf(f55688,plain,
( spl0_224
<=> ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$false))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_224])]) ).
thf(f92959,plain,
( ( $true != vAPP($o,$o,f0,$false) )
| ~ spl0_99
| ~ spl0_104
| ~ spl0_174
| spl0_224 ),
inference(forward_demodulation,[],[f92958,f2419]) ).
thf(f92958,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ~ spl0_99
| ~ spl0_174
| spl0_224 ),
inference(forward_demodulation,[],[f92954,f2165]) ).
thf(f92954,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ~ spl0_174
| spl0_224 ),
inference(backward_demodulation,[],[f55689,f22940]) ).
thf(f22940,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,$false)) )
| ~ spl0_174 ),
inference(avatar_component_clause,[],[f22938]) ).
thf(f55689,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$false))))) )
| spl0_224 ),
inference(avatar_component_clause,[],[f55688]) ).
thf(f93013,plain,
( spl0_56
| ~ spl0_99
| ~ spl0_104
| ~ spl0_132
| ~ spl0_180
| ~ spl0_191
| ~ spl0_235 ),
inference(avatar_contradiction_clause,[],[f93012]) ).
thf(f93012,plain,
( $false
| spl0_56
| ~ spl0_99
| ~ spl0_104
| ~ spl0_132
| ~ spl0_180
| ~ spl0_191
| ~ spl0_235 ),
inference(subsumption_resolution,[],[f93011,f485]) ).
thf(f485,plain,
( ( $false != vAPP($o,$o,f0,$true) )
| spl0_56 ),
inference(avatar_component_clause,[],[f484]) ).
thf(f93011,plain,
( ( $false = vAPP($o,$o,f0,$true) )
| ~ spl0_99
| ~ spl0_104
| ~ spl0_132
| ~ spl0_180
| ~ spl0_191
| ~ spl0_235 ),
inference(forward_demodulation,[],[f93010,f2165]) ).
thf(f93010,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ~ spl0_104
| ~ spl0_132
| ~ spl0_180
| ~ spl0_191
| ~ spl0_235 ),
inference(forward_demodulation,[],[f93009,f2419]) ).
thf(f93009,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) )
| ~ spl0_132
| ~ spl0_180
| ~ spl0_191
| ~ spl0_235 ),
inference(forward_demodulation,[],[f93008,f33069]) ).
thf(f33069,plain,
( ( $true = vAPP($o,$o,f1,vAPP($o,$o,f2,$true)) )
| ~ spl0_191 ),
inference(avatar_component_clause,[],[f33067]) ).
thf(f33067,plain,
( spl0_191
<=> ( $true = vAPP($o,$o,f1,vAPP($o,$o,f2,$true)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_191])]) ).
thf(f93008,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))))) )
| ~ spl0_132
| ~ spl0_180
| ~ spl0_235 ),
inference(forward_demodulation,[],[f93007,f31777]) ).
thf(f31777,plain,
( ( $true = vAPP($o,$o,f3,$true) )
| ~ spl0_180 ),
inference(avatar_component_clause,[],[f31775]) ).
thf(f93007,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$true)))))) )
| ~ spl0_132
| ~ spl0_180
| ~ spl0_235 ),
inference(forward_demodulation,[],[f93006,f31777]) ).
thf(f93006,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$true))))))) )
| ~ spl0_132
| ~ spl0_180
| ~ spl0_235 ),
inference(forward_demodulation,[],[f93005,f31777]) ).
thf(f92999,plain,
( spl0_139
| ~ spl0_145
| ~ spl0_157 ),
inference(avatar_split_clause,[],[f92998,f6226,f4612,f4316]) ).
thf(f4316,plain,
( spl0_139
<=> ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,$false)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).
thf(f4612,plain,
( spl0_145
<=> ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$false))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).
thf(f6226,plain,
( spl0_157
<=> ( $false = vAPP($o,$o,f3,$false) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).
thf(f92998,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,$false)) )
| ~ spl0_145
| ~ spl0_157 ),
inference(forward_demodulation,[],[f4614,f6228]) ).
thf(f6228,plain,
( ( $false = vAPP($o,$o,f3,$false) )
| ~ spl0_157 ),
inference(avatar_component_clause,[],[f6226]) ).
thf(f4614,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$false))) )
| ~ spl0_145 ),
inference(avatar_component_clause,[],[f4612]) ).
thf(f92950,plain,
( spl0_102
| ~ spl0_178
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f92949,f31775,f27616,f2235]) ).
thf(f27616,plain,
( spl0_178
<=> ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$true))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).
thf(f92949,plain,
( ( $false = vAPP($o,$o,f2,$true) )
| ~ spl0_178
| ~ spl0_180 ),
inference(forward_demodulation,[],[f92948,f31777]) ).
thf(f92948,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,$true)) )
| ~ spl0_178
| ~ spl0_180 ),
inference(forward_demodulation,[],[f27618,f31777]) ).
thf(f27618,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$true))) )
| ~ spl0_178 ),
inference(avatar_component_clause,[],[f27616]) ).
thf(f92930,plain,
( ~ spl0_179
| ~ spl0_182
| spl0_198 ),
inference(avatar_split_clause,[],[f92929,f33174,f31783,f30575]) ).
thf(f92929,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,$true)) )
| ~ spl0_182
| spl0_198 ),
inference(forward_demodulation,[],[f33175,f31785]) ).
thf(f33175,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true)))) )
| spl0_198 ),
inference(avatar_component_clause,[],[f33174]) ).
thf(f92905,plain,
( ~ spl0_143
| spl0_212
| ~ spl0_235 ),
inference(avatar_split_clause,[],[f92904,f59612,f51270,f4459]) ).
thf(f51270,plain,
( spl0_212
<=> ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$true))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_212])]) ).
thf(f92904,plain,
( ( $false != vAPP($o,$o,f3,$true) )
| spl0_212
| ~ spl0_235 ),
inference(forward_demodulation,[],[f92903,f59613]) ).
thf(f92903,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,$true)) )
| spl0_212
| ~ spl0_235 ),
inference(forward_demodulation,[],[f51272,f59613]) ).
thf(f51272,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$true))) )
| spl0_212 ),
inference(avatar_component_clause,[],[f51270]) ).
thf(f92902,plain,
( ~ spl0_179
| spl0_214
| ~ spl0_235
| ~ spl0_238 ),
inference(avatar_split_clause,[],[f92901,f60530,f59612,f51432,f30575]) ).
thf(f51432,plain,
( spl0_214
<=> ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$true))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_214])]) ).
thf(f60530,plain,
( spl0_238
<=> ( $true = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_238])]) ).
thf(f92901,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,$true)) )
| spl0_214
| ~ spl0_235
| ~ spl0_238 ),
inference(forward_demodulation,[],[f51433,f87473]) ).
thf(f87473,plain,
( ( $true = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$true))) )
| ~ spl0_235
| ~ spl0_238 ),
inference(forward_demodulation,[],[f60531,f59613]) ).
thf(f60531,plain,
( ( $true = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true)))) )
| ~ spl0_238 ),
inference(avatar_component_clause,[],[f60530]) ).
thf(f51433,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$true))))) )
| spl0_214 ),
inference(avatar_component_clause,[],[f51432]) ).
thf(f92897,plain,
( ~ spl0_143
| spl0_219
| ~ spl0_235 ),
inference(avatar_split_clause,[],[f92896,f59612,f51722,f4459]) ).
thf(f92896,plain,
( ( $false != vAPP($o,$o,f3,$true) )
| spl0_219
| ~ spl0_235 ),
inference(forward_demodulation,[],[f92895,f59613]) ).
thf(f92895,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,$true)) )
| spl0_219
| ~ spl0_235 ),
inference(forward_demodulation,[],[f92894,f59613]) ).
thf(f92894,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$true))) )
| spl0_219
| ~ spl0_235 ),
inference(forward_demodulation,[],[f51723,f59613]) ).
thf(f51723,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$true)))) )
| spl0_219 ),
inference(avatar_component_clause,[],[f51722]) ).
thf(f92893,plain,
( ~ spl0_143
| spl0_222
| ~ spl0_235 ),
inference(avatar_split_clause,[],[f92892,f59612,f51737,f4459]) ).
thf(f92892,plain,
( ( $false != vAPP($o,$o,f3,$true) )
| spl0_222
| ~ spl0_235 ),
inference(forward_demodulation,[],[f51738,f59613]) ).
thf(f51738,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,$true)) )
| spl0_222 ),
inference(avatar_component_clause,[],[f51737]) ).
thf(f92880,plain,
( spl0_143
| ~ spl0_21
| ~ spl0_116
| ~ spl0_120
| ~ spl0_233
| ~ spl0_235 ),
inference(avatar_split_clause,[],[f92876,f59612,f59598,f3072,f3022,f141,f4459]) ).
thf(f92876,plain,
( ( $false = vAPP($o,$o,f3,$true) )
| ~ spl0_21
| ~ spl0_116
| ~ spl0_120
| ~ spl0_233
| ~ spl0_235 ),
inference(backward_demodulation,[],[f92784,f92872]) ).
thf(f92784,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$true))) )
| ~ spl0_21
| ~ spl0_116
| ~ spl0_120
| ~ spl0_235 ),
inference(forward_demodulation,[],[f92783,f59613]) ).
thf(f92783,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$true)))) )
| ~ spl0_21
| ~ spl0_116
| ~ spl0_120 ),
inference(forward_demodulation,[],[f92782,f3074]) ).
thf(f92782,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$true))))) )
| ~ spl0_21
| ~ spl0_116
| ~ spl0_120 ),
inference(forward_demodulation,[],[f92781,f3074]) ).
thf(f92781,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$true)))))) )
| ~ spl0_21
| ~ spl0_116
| ~ spl0_120 ),
inference(forward_demodulation,[],[f92780,f3074]) ).
thf(f92780,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true))))))) )
| ~ spl0_21
| ~ spl0_116 ),
inference(forward_demodulation,[],[f143,f3024]) ).
thf(f143,plain,
( ( vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,x)))))))) = $false )
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f141]) ).
thf(f92879,plain,
( ~ spl0_193
| spl0_167
| ~ spl0_233
| ~ spl0_235 ),
inference(avatar_split_clause,[],[f92875,f59612,f59598,f8068,f33084]) ).
thf(f8068,plain,
( spl0_167
<=> ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$true)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).
thf(f92875,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$true)))) )
| spl0_167
| ~ spl0_233
| ~ spl0_235 ),
inference(backward_demodulation,[],[f8069,f92872]) ).
thf(f8069,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$true)))))) )
| spl0_167 ),
inference(avatar_component_clause,[],[f8068]) ).
thf(f92871,plain,
( spl0_141
| ~ spl0_235
| ~ spl0_241 ),
inference(avatar_split_clause,[],[f92870,f60546,f59612,f4392]) ).
thf(f92870,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,$true)) )
| ~ spl0_235
| ~ spl0_241 ),
inference(forward_demodulation,[],[f60547,f59613]) ).
thf(f60547,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))) )
| ~ spl0_241 ),
inference(avatar_component_clause,[],[f60546]) ).
thf(f92837,plain,
( ~ spl0_174
| ~ spl0_21
| spl0_25
| ~ spl0_116
| ~ spl0_120
| ~ spl0_125
| ~ spl0_235 ),
inference(avatar_split_clause,[],[f92836,f59612,f3119,f3072,f3022,f159,f141,f22938]) ).
thf(f159,plain,
( spl0_25
<=> ( vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,x)))))))))) = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
thf(f3119,plain,
( spl0_125
<=> ( $true = vAPP($o,$o,f5,vAPP($o,$o,f5,$true)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).
thf(f92836,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,$false)) )
| ~ spl0_21
| spl0_25
| ~ spl0_116
| ~ spl0_120
| ~ spl0_125
| ~ spl0_235 ),
inference(forward_demodulation,[],[f92326,f92784]) ).
thf(f92326,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$true))))) )
| spl0_25
| ~ spl0_116
| ~ spl0_120
| ~ spl0_125
| ~ spl0_235 ),
inference(forward_demodulation,[],[f92230,f59613]) ).
thf(f92230,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$true)))))) )
| spl0_25
| ~ spl0_116
| ~ spl0_120
| ~ spl0_125 ),
inference(backward_demodulation,[],[f92070,f3074]) ).
thf(f92070,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$true))))))) )
| spl0_25
| ~ spl0_116
| ~ spl0_125 ),
inference(forward_demodulation,[],[f88465,f3121]) ).
thf(f3121,plain,
( ( $true = vAPP($o,$o,f5,vAPP($o,$o,f5,$true)) )
| ~ spl0_125 ),
inference(avatar_component_clause,[],[f3119]) ).
thf(f88465,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true))))))))) )
| spl0_25
| ~ spl0_116 ),
inference(forward_demodulation,[],[f160,f3024]) ).
thf(f160,plain,
( ( vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,x)))))))))) != $false )
| spl0_25 ),
inference(avatar_component_clause,[],[f159]) ).
thf(f92832,plain,
( ~ spl0_192
| spl0_85
| ~ spl0_116
| ~ spl0_120
| ~ spl0_121
| ~ spl0_235
| ~ spl0_238 ),
inference(avatar_split_clause,[],[f92831,f60530,f59612,f3084,f3072,f3022,f996,f33075]) ).
thf(f33075,plain,
( spl0_192
<=> ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$true)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_192])]) ).
thf(f996,plain,
( spl0_85
<=> ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x)))))))))))))) = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
thf(f3084,plain,
( spl0_121
<=> ( $true = vAPP($o,$o,f6,$true) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).
thf(f92831,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$true)))) )
| spl0_85
| ~ spl0_116
| ~ spl0_120
| ~ spl0_121
| ~ spl0_235
| ~ spl0_238 ),
inference(forward_demodulation,[],[f92281,f87473]) ).
thf(f92281,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$true))))))) )
| spl0_85
| ~ spl0_116
| ~ spl0_120
| ~ spl0_121
| ~ spl0_235 ),
inference(forward_demodulation,[],[f92280,f59613]) ).
thf(f92280,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true)))))))) )
| spl0_85
| ~ spl0_116
| ~ spl0_120
| ~ spl0_121
| ~ spl0_235 ),
inference(forward_demodulation,[],[f92279,f59613]) ).
thf(f92279,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$true))))))))) )
| spl0_85
| ~ spl0_116
| ~ spl0_120
| ~ spl0_121
| ~ spl0_235 ),
inference(forward_demodulation,[],[f92223,f59613]) ).
thf(f92223,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$true)))))))))) )
| spl0_85
| ~ spl0_116
| ~ spl0_120
| ~ spl0_121 ),
inference(backward_demodulation,[],[f86367,f3074]) ).
thf(f86367,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,$true))))))))))) )
| spl0_85
| ~ spl0_116
| ~ spl0_121 ),
inference(forward_demodulation,[],[f86366,f3086]) ).
thf(f3086,plain,
( ( $true = vAPP($o,$o,f6,$true) )
| ~ spl0_121 ),
inference(avatar_component_clause,[],[f3084]) ).
thf(f86366,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,$true)))))))))))) )
| spl0_85
| ~ spl0_116
| ~ spl0_121 ),
inference(forward_demodulation,[],[f86365,f3086]) ).
thf(f86365,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$true))))))))))))) )
| spl0_85
| ~ spl0_116 ),
inference(forward_demodulation,[],[f997,f3024]) ).
thf(f997,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x)))))))))))))) != $false )
| spl0_85 ),
inference(avatar_component_clause,[],[f996]) ).
thf(f92808,plain,
( ~ spl0_21
| ~ spl0_23
| ~ spl0_116
| ~ spl0_120
| spl0_173
| ~ spl0_235 ),
inference(avatar_contradiction_clause,[],[f92807]) ).
thf(f92807,plain,
( $false
| ~ spl0_21
| ~ spl0_23
| ~ spl0_116
| ~ spl0_120
| spl0_173
| ~ spl0_235 ),
inference(subsumption_resolution,[],[f92806,f19784]) ).
thf(f19784,plain,
( ( $false != vAPP($o,$o,f2,$false) )
| spl0_173 ),
inference(avatar_component_clause,[],[f19783]) ).
thf(f19783,plain,
( spl0_173
<=> ( $false = vAPP($o,$o,f2,$false) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).
thf(f92806,plain,
( ( $false = vAPP($o,$o,f2,$false) )
| ~ spl0_21
| ~ spl0_23
| ~ spl0_116
| ~ spl0_120
| ~ spl0_235 ),
inference(forward_demodulation,[],[f92769,f92784]) ).
thf(f92769,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$true)))) )
| ~ spl0_23
| ~ spl0_116
| ~ spl0_120
| ~ spl0_235 ),
inference(forward_demodulation,[],[f92768,f59613]) ).
thf(f92768,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))))) )
| ~ spl0_23
| ~ spl0_116
| ~ spl0_120 ),
inference(forward_demodulation,[],[f92767,f3074]) ).
thf(f92767,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$true)))))) )
| ~ spl0_23
| ~ spl0_116
| ~ spl0_120 ),
inference(forward_demodulation,[],[f92766,f3074]) ).
thf(f92766,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$true))))))) )
| ~ spl0_23
| ~ spl0_116
| ~ spl0_120 ),
inference(forward_demodulation,[],[f92765,f3074]) ).
thf(f92765,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true)))))))) )
| ~ spl0_23
| ~ spl0_116 ),
inference(forward_demodulation,[],[f152,f3024]) ).
thf(f152,plain,
( ( vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,x))))))))) = $false )
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f150]) ).
thf(f150,plain,
( spl0_23
<=> ( vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,x))))))))) = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
thf(f92774,plain,
( ~ spl0_23
| ~ spl0_116
| ~ spl0_120
| ~ spl0_143
| ~ spl0_157
| spl0_173
| ~ spl0_235 ),
inference(avatar_contradiction_clause,[],[f92773]) ).
thf(f92773,plain,
( $false
| ~ spl0_23
| ~ spl0_116
| ~ spl0_120
| ~ spl0_143
| ~ spl0_157
| spl0_173
| ~ spl0_235 ),
inference(subsumption_resolution,[],[f92772,f19784]) ).
thf(f92772,plain,
( ( $false = vAPP($o,$o,f2,$false) )
| ~ spl0_23
| ~ spl0_116
| ~ spl0_120
| ~ spl0_143
| ~ spl0_157
| ~ spl0_235 ),
inference(forward_demodulation,[],[f92771,f6228]) ).
thf(f92771,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,$false)) )
| ~ spl0_23
| ~ spl0_116
| ~ spl0_120
| ~ spl0_143
| ~ spl0_157
| ~ spl0_235 ),
inference(forward_demodulation,[],[f92770,f6228]) ).
thf(f92770,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$false))) )
| ~ spl0_23
| ~ spl0_116
| ~ spl0_120
| ~ spl0_143
| ~ spl0_235 ),
inference(forward_demodulation,[],[f92769,f4461]) ).
thf(f92635,plain,
( spl0_93
| ~ spl0_95
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f92634,f2417,f1748,f1668]) ).
thf(f92634,plain,
( ( $false = vAPP($o,$o,f0,$false) )
| ~ spl0_95
| ~ spl0_104 ),
inference(forward_demodulation,[],[f1750,f2419]) ).
thf(f1750,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ~ spl0_95 ),
inference(avatar_component_clause,[],[f1748]) ).
thf(f92605,plain,
( ~ spl0_139
| spl0_145
| ~ spl0_157 ),
inference(avatar_split_clause,[],[f92602,f6226,f4612,f4316]) ).
thf(f92602,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f2,$false)) )
| spl0_145
| ~ spl0_157 ),
inference(backward_demodulation,[],[f4613,f6228]) ).
thf(f4613,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$false))) )
| spl0_145 ),
inference(avatar_component_clause,[],[f4612]) ).
thf(f92550,plain,
( ~ spl0_94
| ~ spl0_104
| ~ spl0_184
| spl0_196 ),
inference(avatar_split_clause,[],[f92549,f33127,f31811,f2417,f1674]) ).
thf(f31811,plain,
( spl0_184
<=> ( $true = vAPP($o,$o,f2,$true) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).
thf(f33127,plain,
( spl0_196
<=> ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_196])]) ).
thf(f92549,plain,
( ( $true != vAPP($o,$o,f0,$false) )
| ~ spl0_104
| ~ spl0_184
| spl0_196 ),
inference(forward_demodulation,[],[f92548,f2419]) ).
thf(f92548,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ~ spl0_184
| spl0_196 ),
inference(forward_demodulation,[],[f92547,f31813]) ).
thf(f31813,plain,
( ( $true = vAPP($o,$o,f2,$true) )
| ~ spl0_184 ),
inference(avatar_component_clause,[],[f31811]) ).
thf(f92547,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))) )
| ~ spl0_184
| spl0_196 ),
inference(forward_demodulation,[],[f33128,f31813]) ).
thf(f33128,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true)))) )
| spl0_196 ),
inference(avatar_component_clause,[],[f33127]) ).
thf(f92529,plain,
( spl0_143
| ~ spl0_219
| ~ spl0_235 ),
inference(avatar_split_clause,[],[f92528,f59612,f51722,f4459]) ).
thf(f92528,plain,
( ( $false = vAPP($o,$o,f3,$true) )
| ~ spl0_219
| ~ spl0_235 ),
inference(forward_demodulation,[],[f92527,f59613]) ).
thf(f92527,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,$true)) )
| ~ spl0_219
| ~ spl0_235 ),
inference(forward_demodulation,[],[f92526,f59613]) ).
thf(f92526,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$true))) )
| ~ spl0_219
| ~ spl0_235 ),
inference(forward_demodulation,[],[f51724,f59613]) ).
thf(f92481,plain,
( spl0_180
| ~ spl0_234
| ~ spl0_235 ),
inference(avatar_split_clause,[],[f87762,f59612,f59605,f31775]) ).
thf(f87762,plain,
( ( $true = vAPP($o,$o,f3,$true) )
| ~ spl0_234
| ~ spl0_235 ),
inference(forward_demodulation,[],[f59606,f59613]) ).
thf(f59606,plain,
( ( $true = vAPP($o,$o,f3,vAPP($o,$o,f4,$true)) )
| ~ spl0_234 ),
inference(avatar_component_clause,[],[f59605]) ).
thf(f92480,plain,
( ~ spl0_133
| spl0_132
| ~ spl0_235 ),
inference(avatar_split_clause,[],[f87777,f59612,f3269,f3275]) ).
thf(f87777,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$true)))))))) )
| spl0_132
| ~ spl0_235 ),
inference(forward_demodulation,[],[f3270,f59613]) ).
thf(f3270,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))))))))) )
| spl0_132 ),
inference(avatar_component_clause,[],[f3269]) ).
thf(f92479,plain,
( ~ spl0_141
| spl0_211
| spl0_216 ),
inference(avatar_split_clause,[],[f88877,f51707,f47486,f4392]) ).
thf(f47486,plain,
( spl0_211
<=> ( $false = vAPP($o,$o,f4,$false) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_211])]) ).
thf(f51707,plain,
( spl0_216
<=> ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_216])]) ).
thf(f88877,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f3,$true)) )
| spl0_211
| spl0_216 ),
inference(subsumption_resolution,[],[f88864,f47487]) ).
thf(f47487,plain,
( ( $false != vAPP($o,$o,f4,$false) )
| spl0_211 ),
inference(avatar_component_clause,[],[f47486]) ).
thf(f88864,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f3,$true)) )
| ( $false = vAPP($o,$o,f4,$false) )
| spl0_216 ),
inference(superposition,[],[f51708,f4]) ).
thf(f4,plain,
! [X0: $o] :
( ( $true = X0 )
| ( $false = X0 ) ),
introduced(fool_axiom,[]) ).
thf(f51708,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))) )
| spl0_216 ),
inference(avatar_component_clause,[],[f51707]) ).
thf(f92461,plain,
( ~ spl0_133
| ~ spl0_125
| spl0_130
| ~ spl0_235 ),
inference(avatar_split_clause,[],[f92088,f59612,f3151,f3119,f3275]) ).
thf(f92088,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$true)))))))) )
| ~ spl0_125
| spl0_130
| ~ spl0_235 ),
inference(forward_demodulation,[],[f92087,f59613]) ).
thf(f92087,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))))))))) )
| ~ spl0_125
| spl0_130 ),
inference(forward_demodulation,[],[f3152,f3121]) ).
thf(f3152,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$true))))))))))) )
| spl0_130 ),
inference(avatar_component_clause,[],[f3151]) ).
thf(f92460,plain,
( spl0_16
| ~ spl0_10
| ~ spl0_125
| ~ spl0_235 ),
inference(avatar_split_clause,[],[f92095,f59612,f3119,f91,f118]) ).
thf(f91,plain,
( spl0_10
<=> ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$true))))))))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
thf(f92095,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$true)))))))) )
| ~ spl0_10
| ~ spl0_125
| ~ spl0_235 ),
inference(forward_demodulation,[],[f92094,f59613]) ).
thf(f92094,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))))))))) )
| ~ spl0_10
| ~ spl0_125 ),
inference(forward_demodulation,[],[f93,f3121]) ).
thf(f93,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$true))))))))))) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f91]) ).
thf(f92459,plain,
( ~ spl0_99
| ~ spl0_104
| ~ spl0_184
| ~ spl0_188 ),
inference(avatar_contradiction_clause,[],[f92458]) ).
thf(f92458,plain,
( $false
| ~ spl0_99
| ~ spl0_104
| ~ spl0_184
| ~ spl0_188 ),
inference(trivial_inequality_removal,[],[f92457]) ).
thf(f92457,plain,
( ( $true = $false )
| ~ spl0_99
| ~ spl0_104
| ~ spl0_184
| ~ spl0_188 ),
inference(forward_demodulation,[],[f92456,f2419]) ).
thf(f92456,plain,
( ( $true = vAPP($o,$o,f1,$true) )
| ~ spl0_99
| ~ spl0_104
| ~ spl0_184
| ~ spl0_188 ),
inference(forward_demodulation,[],[f92455,f2165]) ).
thf(f92455,plain,
( ( $true = vAPP($o,$o,f1,vAPP($o,$o,f1,$false)) )
| ~ spl0_104
| ~ spl0_184
| ~ spl0_188 ),
inference(forward_demodulation,[],[f87231,f2419]) ).
thf(f87231,plain,
( ( $true = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) )
| ~ spl0_184
| ~ spl0_188 ),
inference(forward_demodulation,[],[f33053,f31813]) ).
thf(f33053,plain,
( ( $true = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$true)))) )
| ~ spl0_188 ),
inference(avatar_component_clause,[],[f33051]) ).
thf(f33051,plain,
( spl0_188
<=> ( $true = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$true)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_188])]) ).
thf(f92442,plain,
( spl0_16
| ~ spl0_12
| ~ spl0_120
| ~ spl0_235 ),
inference(avatar_split_clause,[],[f92235,f59612,f3072,f100,f118]) ).
thf(f100,plain,
( spl0_12
<=> ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$true)))))))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
thf(f92235,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$true)))))))) )
| ~ spl0_12
| ~ spl0_120
| ~ spl0_235 ),
inference(forward_demodulation,[],[f92214,f59613]) ).
thf(f92214,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))))))))) )
| ~ spl0_12
| ~ spl0_120 ),
inference(backward_demodulation,[],[f102,f3074]) ).
thf(f102,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$true)))))))))) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f100]) ).
thf(f92441,plain,
( spl0_43
| ~ spl0_34
| ~ spl0_120
| ~ spl0_235 ),
inference(avatar_split_clause,[],[f92243,f59612,f3072,f340,f404]) ).
thf(f92243,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$true)))))))) )
| ~ spl0_34
| ~ spl0_120
| ~ spl0_235 ),
inference(forward_demodulation,[],[f92242,f59613]) ).
thf(f92242,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))))))))) )
| ~ spl0_34
| ~ spl0_120
| ~ spl0_235 ),
inference(forward_demodulation,[],[f92241,f59613]) ).
thf(f92241,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$true)))))))))) )
| ~ spl0_34
| ~ spl0_120
| ~ spl0_235 ),
inference(forward_demodulation,[],[f92215,f59613]) ).
thf(f92215,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$true))))))))))) )
| ~ spl0_34
| ~ spl0_120 ),
inference(backward_demodulation,[],[f342,f3074]) ).
thf(f342,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,$true)))))))))))) )
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f340]) ).
thf(f92440,plain,
( ~ spl0_133
| spl0_90
| ~ spl0_120
| ~ spl0_235 ),
inference(avatar_split_clause,[],[f92252,f59612,f3072,f1414,f3275]) ).
thf(f1414,plain,
( spl0_90
<=> ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$true)))))))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).
thf(f92252,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$true)))))))) )
| spl0_90
| ~ spl0_120
| ~ spl0_235 ),
inference(forward_demodulation,[],[f92216,f59613]) ).
thf(f92216,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))))))))) )
| spl0_90
| ~ spl0_120 ),
inference(backward_demodulation,[],[f1415,f3074]) ).
thf(f1415,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$true)))))))))) )
| spl0_90 ),
inference(avatar_component_clause,[],[f1414]) ).
thf(f92436,plain,
( ~ spl0_72
| spl0_66
| ~ spl0_235 ),
inference(avatar_split_clause,[],[f92378,f59612,f838,f898]) ).
thf(f92378,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$true)))))))) )
| spl0_66
| ~ spl0_235 ),
inference(forward_demodulation,[],[f92377,f59613]) ).
thf(f92377,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))))))))) )
| spl0_66
| ~ spl0_235 ),
inference(forward_demodulation,[],[f92376,f59613]) ).
thf(f92376,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$true)))))))))) )
| spl0_66
| ~ spl0_235 ),
inference(forward_demodulation,[],[f839,f59613]) ).
thf(f839,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$true))))))))))) )
| spl0_66 ),
inference(avatar_component_clause,[],[f838]) ).
thf(f92435,plain,
( spl0_43
| ~ spl0_36
| ~ spl0_235 ),
inference(avatar_split_clause,[],[f92397,f59612,f349,f404]) ).
thf(f349,plain,
( spl0_36
<=> ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$true))))))))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
thf(f92397,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$true)))))))) )
| ~ spl0_36
| ~ spl0_235 ),
inference(forward_demodulation,[],[f92396,f59613]) ).
thf(f92396,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))))))))) )
| ~ spl0_36
| ~ spl0_235 ),
inference(forward_demodulation,[],[f92395,f59613]) ).
thf(f92395,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$true)))))))))) )
| ~ spl0_36
| ~ spl0_235 ),
inference(forward_demodulation,[],[f351,f59613]) ).
thf(f351,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$true))))))))))) )
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f349]) ).
thf(f92428,plain,
( ~ spl0_143
| spl0_211
| spl0_274 ),
inference(avatar_split_clause,[],[f92427,f85182,f47486,f4459]) ).
thf(f85182,plain,
( spl0_274
<=> ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,$false)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_274])]) ).
thf(f92427,plain,
( ( $false != vAPP($o,$o,f3,$true) )
| spl0_211
| spl0_274 ),
inference(subsumption_resolution,[],[f88559,f47487]) ).
thf(f88559,plain,
( ( $false != vAPP($o,$o,f3,$true) )
| ( $false = vAPP($o,$o,f4,$false) )
| spl0_274 ),
inference(superposition,[],[f85183,f4]) ).
thf(f85183,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,$false)) )
| spl0_274 ),
inference(avatar_component_clause,[],[f85182]) ).
thf(f92426,plain,
( ~ spl0_143
| spl0_211
| spl0_218
| ~ spl0_235 ),
inference(avatar_split_clause,[],[f88894,f59612,f51716,f47486,f4459]) ).
thf(f51716,plain,
( spl0_218
<=> ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$false)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_218])]) ).
thf(f88894,plain,
( ( $false != vAPP($o,$o,f3,$true) )
| spl0_211
| spl0_218
| ~ spl0_235 ),
inference(forward_demodulation,[],[f88893,f59613]) ).
thf(f88893,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,$true)) )
| spl0_211
| spl0_218
| ~ spl0_235 ),
inference(forward_demodulation,[],[f88892,f59613]) ).
thf(f88892,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$true))) )
| spl0_211
| spl0_218 ),
inference(subsumption_resolution,[],[f88881,f47487]) ).
thf(f88881,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$true))) )
| ( $false = vAPP($o,$o,f4,$false) )
| spl0_218 ),
inference(superposition,[],[f51717,f4]) ).
thf(f51717,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$false)))) )
| spl0_218 ),
inference(avatar_component_clause,[],[f51716]) ).
thf(f92421,plain,
( ~ spl0_143
| spl0_213
| spl0_218 ),
inference(avatar_split_clause,[],[f92420,f51716,f51427,f4459]) ).
thf(f51427,plain,
( spl0_213
<=> ( $false = vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$false))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_213])]) ).
thf(f92420,plain,
( ( $false != vAPP($o,$o,f3,$true) )
| spl0_213
| spl0_218 ),
inference(subsumption_resolution,[],[f88887,f51428]) ).
thf(f51428,plain,
( ( $false != vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$false))) )
| spl0_213 ),
inference(avatar_component_clause,[],[f51427]) ).
thf(f88887,plain,
( ( $false != vAPP($o,$o,f3,$true) )
| ( $false = vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$false))) )
| spl0_218 ),
inference(superposition,[],[f51717,f4]) ).
thf(f92419,plain,
( spl0_252
| ~ spl0_143
| spl0_218
| ~ spl0_235 ),
inference(avatar_split_clause,[],[f92155,f59612,f51716,f4459,f63779]) ).
thf(f63779,plain,
( spl0_252
<=> ( $false = vAPP($o,$o,f4,vAPP($o,$o,f4,$false)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_252])]) ).
thf(f92155,plain,
( ( $false != vAPP($o,$o,f3,$true) )
| ( $false = vAPP($o,$o,f4,vAPP($o,$o,f4,$false)) )
| spl0_218
| ~ spl0_235 ),
inference(forward_demodulation,[],[f88884,f59613]) ).
thf(f88884,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,$true)) )
| ( $false = vAPP($o,$o,f4,vAPP($o,$o,f4,$false)) )
| spl0_218 ),
inference(superposition,[],[f51717,f4]) ).
thf(f92418,plain,
( ~ spl0_143
| spl0_73
| ~ spl0_116
| ~ spl0_120
| ~ spl0_121
| ~ spl0_235 ),
inference(avatar_split_clause,[],[f92268,f59612,f3084,f3072,f3022,f912,f4459]) ).
thf(f912,plain,
( spl0_73
<=> ( vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x)))))))) = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
thf(f92268,plain,
( ( $false != vAPP($o,$o,f3,$true) )
| spl0_73
| ~ spl0_116
| ~ spl0_120
| ~ spl0_121
| ~ spl0_235 ),
inference(forward_demodulation,[],[f92267,f59613]) ).
thf(f92267,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,$true)) )
| spl0_73
| ~ spl0_116
| ~ spl0_120
| ~ spl0_121
| ~ spl0_235 ),
inference(forward_demodulation,[],[f92266,f59613]) ).
thf(f92266,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$true))) )
| spl0_73
| ~ spl0_116
| ~ spl0_120
| ~ spl0_121
| ~ spl0_235 ),
inference(forward_demodulation,[],[f92221,f59613]) ).
thf(f92221,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$true)))) )
| spl0_73
| ~ spl0_116
| ~ spl0_120
| ~ spl0_121 ),
inference(backward_demodulation,[],[f85121,f3074]) ).
thf(f85121,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,$true))))) )
| spl0_73
| ~ spl0_116
| ~ spl0_121 ),
inference(forward_demodulation,[],[f85120,f3086]) ).
thf(f85120,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,$true)))))) )
| spl0_73
| ~ spl0_116
| ~ spl0_121 ),
inference(forward_demodulation,[],[f85119,f3086]) ).
thf(f85119,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$true))))))) )
| spl0_73
| ~ spl0_116 ),
inference(forward_demodulation,[],[f913,f3024]) ).
thf(f913,plain,
( ( vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x)))))))) != $false )
| spl0_73 ),
inference(avatar_component_clause,[],[f912]) ).
thf(f92354,plain,
( ~ spl0_103
| ~ spl0_104
| spl0_169 ),
inference(avatar_split_clause,[],[f92351,f9659,f2417,f2413]) ).
thf(f2413,plain,
( spl0_103
<=> ( $false = vAPP($o,$o,f1,$false) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).
thf(f9659,plain,
( spl0_169
<=> ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).
thf(f92351,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ~ spl0_104
| spl0_169 ),
inference(backward_demodulation,[],[f9660,f2419]) ).
thf(f9660,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) )
| spl0_169 ),
inference(avatar_component_clause,[],[f9659]) ).
thf(f92314,plain,
( ~ spl0_28
| spl0_87
| ~ spl0_116
| ~ spl0_120
| ~ spl0_121
| ~ spl0_180
| ~ spl0_184
| ~ spl0_235 ),
inference(avatar_contradiction_clause,[],[f92313]) ).
thf(f92313,plain,
( $false
| ~ spl0_28
| spl0_87
| ~ spl0_116
| ~ spl0_120
| ~ spl0_121
| ~ spl0_180
| ~ spl0_184
| ~ spl0_235 ),
inference(subsumption_resolution,[],[f92312,f174]) ).
thf(f174,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f172]) ).
thf(f172,plain,
( spl0_28
<=> ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
thf(f92312,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| spl0_87
| ~ spl0_116
| ~ spl0_120
| ~ spl0_121
| ~ spl0_180
| ~ spl0_184
| ~ spl0_235 ),
inference(forward_demodulation,[],[f92311,f31813]) ).
thf(f92311,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))) )
| spl0_87
| ~ spl0_116
| ~ spl0_120
| ~ spl0_121
| ~ spl0_180
| ~ spl0_184
| ~ spl0_235 ),
inference(forward_demodulation,[],[f92310,f31813]) ).
thf(f92310,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true)))) )
| spl0_87
| ~ spl0_116
| ~ spl0_120
| ~ spl0_121
| ~ spl0_180
| ~ spl0_184
| ~ spl0_235 ),
inference(forward_demodulation,[],[f92309,f31813]) ).
thf(f92309,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))))) )
| spl0_87
| ~ spl0_116
| ~ spl0_120
| ~ spl0_121
| ~ spl0_180
| ~ spl0_235 ),
inference(forward_demodulation,[],[f92308,f31777]) ).
thf(f92308,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$true)))))) )
| spl0_87
| ~ spl0_116
| ~ spl0_120
| ~ spl0_121
| ~ spl0_235 ),
inference(forward_demodulation,[],[f92307,f59613]) ).
thf(f92307,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))))))) )
| spl0_87
| ~ spl0_116
| ~ spl0_120
| ~ spl0_121
| ~ spl0_235 ),
inference(forward_demodulation,[],[f92306,f59613]) ).
thf(f92306,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$true)))))))) )
| spl0_87
| ~ spl0_116
| ~ spl0_120
| ~ spl0_121
| ~ spl0_235 ),
inference(forward_demodulation,[],[f92227,f59613]) ).
thf(f92227,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$true))))))))) )
| spl0_87
| ~ spl0_116
| ~ spl0_120
| ~ spl0_121 ),
inference(backward_demodulation,[],[f87603,f3074]) ).
thf(f87603,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,$true)))))))))) )
| spl0_87
| ~ spl0_116
| ~ spl0_121 ),
inference(forward_demodulation,[],[f87602,f3086]) ).
thf(f87602,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,$true))))))))))) )
| spl0_87
| ~ spl0_116
| ~ spl0_121 ),
inference(forward_demodulation,[],[f87601,f3086]) ).
thf(f87601,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$true)))))))))))) )
| spl0_87
| ~ spl0_116 ),
inference(forward_demodulation,[],[f1010,f3024]) ).
thf(f1010,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x))))))))))))) != $true )
| spl0_87 ),
inference(avatar_component_clause,[],[f1009]) ).
thf(f1009,plain,
( spl0_87
<=> ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x))))))))))))) = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).
thf(f92294,plain,
( ~ spl0_104
| spl0_81
| ~ spl0_116
| ~ spl0_120
| ~ spl0_121
| ~ spl0_180
| ~ spl0_184
| ~ spl0_235 ),
inference(avatar_split_clause,[],[f92293,f59612,f31811,f31775,f3084,f3072,f3022,f974,f2417]) ).
thf(f974,plain,
( spl0_81
<=> ( vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x)))))))))))) = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
thf(f92293,plain,
( ( $false != vAPP($o,$o,f1,$true) )
| spl0_81
| ~ spl0_116
| ~ spl0_120
| ~ spl0_121
| ~ spl0_180
| ~ spl0_184
| ~ spl0_235 ),
inference(forward_demodulation,[],[f92292,f31813]) ).
thf(f92292,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,$true)) )
| spl0_81
| ~ spl0_116
| ~ spl0_120
| ~ spl0_121
| ~ spl0_180
| ~ spl0_184
| ~ spl0_235 ),
inference(forward_demodulation,[],[f92291,f31813]) ).
thf(f92291,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))) )
| spl0_81
| ~ spl0_116
| ~ spl0_120
| ~ spl0_121
| ~ spl0_180
| ~ spl0_184
| ~ spl0_235 ),
inference(forward_demodulation,[],[f92290,f31813]) ).
thf(f92290,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true)))) )
| spl0_81
| ~ spl0_116
| ~ spl0_120
| ~ spl0_121
| ~ spl0_180
| ~ spl0_235 ),
inference(forward_demodulation,[],[f92289,f31777]) ).
thf(f92289,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$true))))) )
| spl0_81
| ~ spl0_116
| ~ spl0_120
| ~ spl0_121
| ~ spl0_235 ),
inference(forward_demodulation,[],[f92288,f59613]) ).
thf(f92288,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true)))))) )
| spl0_81
| ~ spl0_116
| ~ spl0_120
| ~ spl0_121
| ~ spl0_235 ),
inference(forward_demodulation,[],[f92287,f59613]) ).
thf(f92287,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$true))))))) )
| spl0_81
| ~ spl0_116
| ~ spl0_120
| ~ spl0_121
| ~ spl0_235 ),
inference(forward_demodulation,[],[f92224,f59613]) ).
thf(f92224,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$true)))))))) )
| spl0_81
| ~ spl0_116
| ~ spl0_120
| ~ spl0_121 ),
inference(backward_demodulation,[],[f86381,f3074]) ).
thf(f86381,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,$true))))))))) )
| spl0_81
| ~ spl0_116
| ~ spl0_121 ),
inference(forward_demodulation,[],[f86380,f3086]) ).
thf(f86380,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,$true)))))))))) )
| spl0_81
| ~ spl0_116
| ~ spl0_121 ),
inference(forward_demodulation,[],[f86379,f3086]) ).
thf(f86379,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$true))))))))))) )
| spl0_81
| ~ spl0_116 ),
inference(forward_demodulation,[],[f975,f3024]) ).
thf(f975,plain,
( ( vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x)))))))))))) != $false )
| spl0_81 ),
inference(avatar_component_clause,[],[f974]) ).
thf(f92251,plain,
( ~ spl0_28
| ~ spl0_30
| ~ spl0_34
| spl0_56
| ~ spl0_120
| ~ spl0_180
| ~ spl0_184
| ~ spl0_235 ),
inference(avatar_contradiction_clause,[],[f92250]) ).
thf(f92250,plain,
( $false
| ~ spl0_28
| ~ spl0_30
| ~ spl0_34
| spl0_56
| ~ spl0_120
| ~ spl0_180
| ~ spl0_184
| ~ spl0_235 ),
inference(subsumption_resolution,[],[f92249,f485]) ).
thf(f92249,plain,
( ( $false = vAPP($o,$o,f0,$true) )
| ~ spl0_28
| ~ spl0_30
| ~ spl0_34
| ~ spl0_120
| ~ spl0_180
| ~ spl0_184
| ~ spl0_235 ),
inference(forward_demodulation,[],[f92248,f183]) ).
thf(f183,plain,
( ( $true = vAPP($o,$o,f0,$true) )
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f181]) ).
thf(f181,plain,
( spl0_30
<=> ( $true = vAPP($o,$o,f0,$true) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
thf(f92248,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ~ spl0_28
| ~ spl0_34
| ~ spl0_120
| ~ spl0_180
| ~ spl0_184
| ~ spl0_235 ),
inference(forward_demodulation,[],[f92247,f174]) ).
thf(f92247,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ~ spl0_34
| ~ spl0_120
| ~ spl0_180
| ~ spl0_184
| ~ spl0_235 ),
inference(forward_demodulation,[],[f92246,f31813]) ).
thf(f92246,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))))) )
| ~ spl0_34
| ~ spl0_120
| ~ spl0_180
| ~ spl0_184
| ~ spl0_235 ),
inference(forward_demodulation,[],[f92245,f31813]) ).
thf(f92245,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true)))))) )
| ~ spl0_34
| ~ spl0_120
| ~ spl0_180
| ~ spl0_184
| ~ spl0_235 ),
inference(forward_demodulation,[],[f92244,f31813]) ).
thf(f92244,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))))))) )
| ~ spl0_34
| ~ spl0_120
| ~ spl0_180
| ~ spl0_235 ),
inference(forward_demodulation,[],[f92243,f31777]) ).
thf(f92194,plain,
( ~ spl0_103
| ~ spl0_173
| spl0_174 ),
inference(avatar_split_clause,[],[f92193,f22938,f19783,f2413]) ).
thf(f92193,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ~ spl0_173
| spl0_174 ),
inference(forward_demodulation,[],[f22939,f19785]) ).
thf(f19785,plain,
( ( $false = vAPP($o,$o,f2,$false) )
| ~ spl0_173 ),
inference(avatar_component_clause,[],[f19783]) ).
thf(f22939,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,$false)) )
| spl0_174 ),
inference(avatar_component_clause,[],[f22938]) ).
thf(f92163,plain,
( spl0_104
| ~ spl0_180
| ~ spl0_184
| ~ spl0_214 ),
inference(avatar_split_clause,[],[f92162,f51432,f31811,f31775,f2417]) ).
thf(f92162,plain,
( ( $false = vAPP($o,$o,f1,$true) )
| ~ spl0_180
| ~ spl0_184
| ~ spl0_214 ),
inference(forward_demodulation,[],[f92161,f31813]) ).
thf(f92161,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,$true)) )
| ~ spl0_180
| ~ spl0_184
| ~ spl0_214 ),
inference(forward_demodulation,[],[f92160,f31813]) ).
thf(f92160,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))) )
| ~ spl0_180
| ~ spl0_184
| ~ spl0_214 ),
inference(forward_demodulation,[],[f92159,f31813]) ).
thf(f92159,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true)))) )
| ~ spl0_180
| ~ spl0_214 ),
inference(forward_demodulation,[],[f51434,f31777]) ).
thf(f51434,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$true))))) )
| ~ spl0_214 ),
inference(avatar_component_clause,[],[f51432]) ).
thf(f92081,plain,
( ~ spl0_171
| spl0_15
| ~ spl0_116
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f92080,f3119,f3022,f114,f14053]) ).
thf(f14053,plain,
( spl0_171
<=> ( $false = vAPP($o,$o,f4,vAPP($o,$o,f5,$true)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).
thf(f114,plain,
( spl0_15
<=> ( vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,x))))) = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
thf(f92080,plain,
( ( $false != vAPP($o,$o,f4,vAPP($o,$o,f5,$true)) )
| spl0_15
| ~ spl0_116
| ~ spl0_125 ),
inference(forward_demodulation,[],[f82518,f3121]) ).
thf(f82518,plain,
( ( $false != vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true)))) )
| spl0_15
| ~ spl0_116 ),
inference(forward_demodulation,[],[f115,f3024]) ).
thf(f115,plain,
( ( vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,x))))) != $false )
| spl0_15 ),
inference(avatar_component_clause,[],[f114]) ).
thf(f92076,plain,
( spl0_34
| ~ spl0_3
| ~ spl0_116
| ~ spl0_121 ),
inference(avatar_split_clause,[],[f82541,f3084,f3022,f19,f340]) ).
thf(f19,plain,
( spl0_3
<=> ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x))))))))))))))) = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
thf(f82541,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,$true)))))))))))) )
| ~ spl0_3
| ~ spl0_116
| ~ spl0_121 ),
inference(forward_demodulation,[],[f82540,f3086]) ).
thf(f82540,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,$true))))))))))))) )
| ~ spl0_3
| ~ spl0_116
| ~ spl0_121 ),
inference(forward_demodulation,[],[f82539,f3086]) ).
thf(f82539,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$true)))))))))))))) )
| ~ spl0_3
| ~ spl0_116 ),
inference(forward_demodulation,[],[f21,f3024]) ).
thf(f21,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x))))))))))))))) = $false )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f19]) ).
thf(f92074,plain,
( ~ spl0_61
| spl0_1
| ~ spl0_116
| ~ spl0_121 ),
inference(avatar_split_clause,[],[f82560,f3084,f3022,f10,f725]) ).
thf(f725,plain,
( spl0_61
<=> ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,$true)))))))))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
thf(f10,plain,
( spl0_1
<=> ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x))))))))))))))) = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
thf(f82560,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,$true)))))))))))) )
| spl0_1
| ~ spl0_116
| ~ spl0_121 ),
inference(forward_demodulation,[],[f82559,f3086]) ).
thf(f82559,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,$true))))))))))))) )
| spl0_1
| ~ spl0_116
| ~ spl0_121 ),
inference(forward_demodulation,[],[f82558,f3086]) ).
thf(f82558,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$true)))))))))))))) )
| spl0_1
| ~ spl0_116 ),
inference(forward_demodulation,[],[f11,f3024]) ).
thf(f11,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x))))))))))))))) != $true )
| spl0_1 ),
inference(avatar_component_clause,[],[f10]) ).
thf(f92066,plain,
( ~ spl0_104
| ~ spl0_180
| ~ spl0_184
| ~ spl0_235
| spl0_268 ),
inference(avatar_split_clause,[],[f87736,f76187,f59612,f31811,f31775,f2417]) ).
thf(f76187,plain,
( spl0_268
<=> ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_268])]) ).
thf(f87736,plain,
( ( $false != vAPP($o,$o,f1,$true) )
| ~ spl0_180
| ~ spl0_184
| ~ spl0_235
| spl0_268 ),
inference(forward_demodulation,[],[f87735,f31813]) ).
thf(f87735,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,$true)) )
| ~ spl0_180
| ~ spl0_184
| ~ spl0_235
| spl0_268 ),
inference(forward_demodulation,[],[f87734,f31813]) ).
thf(f87734,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))) )
| ~ spl0_180
| ~ spl0_184
| ~ spl0_235
| spl0_268 ),
inference(forward_demodulation,[],[f87733,f31813]) ).
thf(f87733,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true)))) )
| ~ spl0_180
| ~ spl0_235
| spl0_268 ),
inference(forward_demodulation,[],[f87732,f31777]) ).
thf(f87732,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$true))))) )
| ~ spl0_235
| spl0_268 ),
inference(forward_demodulation,[],[f76188,f59613]) ).
thf(f76188,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true)))))) )
| spl0_268 ),
inference(avatar_component_clause,[],[f76187]) ).
thf(f92063,plain,
( spl0_270
| ~ spl0_166
| ~ spl0_173
| ~ spl0_224 ),
inference(avatar_split_clause,[],[f92062,f55688,f19783,f7911,f76232]) ).
thf(f76232,plain,
( spl0_270
<=> ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_270])]) ).
thf(f7911,plain,
( spl0_166
<=> ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,$false)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).
thf(f92062,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ~ spl0_166
| ~ spl0_173
| ~ spl0_224 ),
inference(backward_demodulation,[],[f87412,f7913]) ).
thf(f7913,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,$false)) )
| ~ spl0_166 ),
inference(avatar_component_clause,[],[f7911]) ).
thf(f87412,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ~ spl0_173
| ~ spl0_224 ),
inference(forward_demodulation,[],[f55690,f19785]) ).
thf(f55690,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$false))))) )
| ~ spl0_224 ),
inference(avatar_component_clause,[],[f55688]) ).
thf(f92058,plain,
( spl0_81
| spl0_84
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121 ),
inference(avatar_contradiction_clause,[],[f92057]) ).
thf(f92057,plain,
( $false
| spl0_81
| spl0_84
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121 ),
inference(subsumption_resolution,[],[f91907,f86382]) ).
thf(f86382,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$false)))))))) )
| spl0_81
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121 ),
inference(forward_demodulation,[],[f86381,f2661]) ).
thf(f2661,plain,
( ( $false = vAPP($o,$o,f5,$true) )
| ~ spl0_111 ),
inference(avatar_component_clause,[],[f2659]) ).
thf(f2659,plain,
( spl0_111
<=> ( $false = vAPP($o,$o,f5,$true) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).
thf(f91907,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$false)))))))) )
| spl0_84
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121 ),
inference(trivial_inequality_removal,[],[f91906]) ).
thf(f91906,plain,
( ( $true != $true )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$false)))))))) )
| spl0_84
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121 ),
inference(superposition,[],[f85100,f4]) ).
thf(f85100,plain,
( ( $true != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$false)))))))) )
| spl0_84
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121 ),
inference(forward_demodulation,[],[f85099,f2661]) ).
thf(f85099,plain,
( ( $true != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,$true))))))))) )
| spl0_84
| ~ spl0_116
| ~ spl0_121 ),
inference(forward_demodulation,[],[f85098,f3086]) ).
thf(f85098,plain,
( ( $true != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,$true)))))))))) )
| spl0_84
| ~ spl0_116
| ~ spl0_121 ),
inference(forward_demodulation,[],[f85097,f3086]) ).
thf(f85097,plain,
( ( $true != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$true))))))))))) )
| spl0_84
| ~ spl0_116 ),
inference(forward_demodulation,[],[f992,f3024]) ).
thf(f992,plain,
( ( vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x)))))))))))) != $true )
| spl0_84 ),
inference(avatar_component_clause,[],[f991]) ).
thf(f991,plain,
( spl0_84
<=> ( vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x)))))))))))) = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
thf(f92024,plain,
( spl0_75
| spl0_84
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121
| ~ spl0_150
| ~ spl0_183
| ~ spl0_184 ),
inference(avatar_contradiction_clause,[],[f92023]) ).
thf(f92023,plain,
( $false
| spl0_75
| spl0_84
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121
| ~ spl0_150
| ~ spl0_183
| ~ spl0_184 ),
inference(subsumption_resolution,[],[f92022,f5115]) ).
thf(f5115,plain,
( ( $true = vAPP($o,$o,f1,$true) )
| ~ spl0_150 ),
inference(avatar_component_clause,[],[f5113]) ).
thf(f5113,plain,
( spl0_150
<=> ( $true = vAPP($o,$o,f1,$true) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).
thf(f92022,plain,
( ( $true != vAPP($o,$o,f1,$true) )
| spl0_75
| spl0_84
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121
| ~ spl0_183
| ~ spl0_184 ),
inference(forward_demodulation,[],[f92021,f31813]) ).
thf(f92021,plain,
( ( $true != vAPP($o,$o,f1,vAPP($o,$o,f2,$true)) )
| spl0_75
| spl0_84
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121
| ~ spl0_183 ),
inference(subsumption_resolution,[],[f91892,f86404]) ).
thf(f86404,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$false))))) )
| spl0_75
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121 ),
inference(forward_demodulation,[],[f86403,f2661]) ).
thf(f86403,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,$true)))))) )
| spl0_75
| ~ spl0_116
| ~ spl0_121 ),
inference(forward_demodulation,[],[f86402,f3086]) ).
thf(f86402,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,$true))))))) )
| spl0_75
| ~ spl0_116
| ~ spl0_121 ),
inference(forward_demodulation,[],[f86401,f3086]) ).
thf(f86401,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$true)))))))) )
| spl0_75
| ~ spl0_116 ),
inference(forward_demodulation,[],[f930,f3024]) ).
thf(f930,plain,
( ( vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x))))))))) != $false )
| spl0_75 ),
inference(avatar_component_clause,[],[f929]) ).
thf(f929,plain,
( spl0_75
<=> ( vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x))))))))) = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
thf(f91892,plain,
( ( $true != vAPP($o,$o,f1,vAPP($o,$o,f2,$true)) )
| ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$false))))) )
| spl0_84
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121
| ~ spl0_183 ),
inference(superposition,[],[f85100,f31804]) ).
thf(f31804,plain,
( ! [X0: $o] :
( ( $true = vAPP($o,$o,f2,X0) )
| ( $false = X0 ) )
| ~ spl0_183 ),
inference(avatar_component_clause,[],[f31803]) ).
thf(f31803,plain,
( spl0_183
<=> ! [X0: $o] :
( ( $false = X0 )
| ( $true = vAPP($o,$o,f2,X0) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).
thf(f92000,plain,
( spl0_84
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121
| ~ spl0_150
| ~ spl0_184
| spl0_218 ),
inference(avatar_contradiction_clause,[],[f91999]) ).
thf(f91999,plain,
( $false
| spl0_84
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121
| ~ spl0_150
| ~ spl0_184
| spl0_218 ),
inference(subsumption_resolution,[],[f91998,f5115]) ).
thf(f91998,plain,
( ( $true != vAPP($o,$o,f1,$true) )
| spl0_84
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121
| ~ spl0_184
| spl0_218 ),
inference(forward_demodulation,[],[f91997,f31813]) ).
thf(f91997,plain,
( ( $true != vAPP($o,$o,f1,vAPP($o,$o,f2,$true)) )
| spl0_84
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121
| ~ spl0_184
| spl0_218 ),
inference(forward_demodulation,[],[f91996,f31813]) ).
thf(f91996,plain,
( ( $true != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))) )
| spl0_84
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121
| ~ spl0_184
| spl0_218 ),
inference(forward_demodulation,[],[f91995,f31813]) ).
thf(f91995,plain,
( ( $true != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true)))) )
| spl0_84
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121
| spl0_218 ),
inference(subsumption_resolution,[],[f91886,f51717]) ).
thf(f91886,plain,
( ( $true != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true)))) )
| ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$false)))) )
| spl0_84
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121 ),
inference(superposition,[],[f85100,f4]) ).
thf(f91978,plain,
( spl0_84
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121
| ~ spl0_150
| ~ spl0_180
| ~ spl0_184
| spl0_213 ),
inference(avatar_contradiction_clause,[],[f91977]) ).
thf(f91977,plain,
( $false
| spl0_84
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121
| ~ spl0_150
| ~ spl0_180
| ~ spl0_184
| spl0_213 ),
inference(subsumption_resolution,[],[f91976,f5115]) ).
thf(f91976,plain,
( ( $true != vAPP($o,$o,f1,$true) )
| spl0_84
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121
| ~ spl0_180
| ~ spl0_184
| spl0_213 ),
inference(forward_demodulation,[],[f91975,f31813]) ).
thf(f91975,plain,
( ( $true != vAPP($o,$o,f1,vAPP($o,$o,f2,$true)) )
| spl0_84
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121
| ~ spl0_180
| ~ spl0_184
| spl0_213 ),
inference(forward_demodulation,[],[f91974,f31813]) ).
thf(f91974,plain,
( ( $true != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))) )
| spl0_84
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121
| ~ spl0_180
| ~ spl0_184
| spl0_213 ),
inference(forward_demodulation,[],[f91973,f31813]) ).
thf(f91973,plain,
( ( $true != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true)))) )
| spl0_84
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121
| ~ spl0_180
| spl0_213 ),
inference(subsumption_resolution,[],[f91882,f51428]) ).
thf(f91882,plain,
( ( $true != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true)))) )
| ( $false = vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$false))) )
| spl0_84
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121
| ~ spl0_180 ),
inference(superposition,[],[f85100,f87950]) ).
thf(f87950,plain,
( ! [X0: $o] :
( ( $true = vAPP($o,$o,f3,X0) )
| ( $false = X0 ) )
| ~ spl0_180 ),
inference(duplicate_literal_removal,[],[f87948]) ).
thf(f87948,plain,
( ! [X0: $o] :
( ( $true = vAPP($o,$o,f3,X0) )
| ( $false = X0 )
| ( $false = X0 ) )
| ~ spl0_180 ),
inference(binary_proxy_clausification,[],[f87940]) ).
thf(f87940,plain,
( ! [X0: $o] :
( ( vAPP($o,$o,f3,X0) = X0 )
| ( $false = X0 ) )
| ~ spl0_180 ),
inference(superposition,[],[f31777,f4]) ).
thf(f91959,plain,
( spl0_84
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121
| ~ spl0_150
| ~ spl0_180
| ~ spl0_184
| spl0_252
| ~ spl0_253 ),
inference(avatar_contradiction_clause,[],[f91958]) ).
thf(f91958,plain,
( $false
| spl0_84
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121
| ~ spl0_150
| ~ spl0_180
| ~ spl0_184
| spl0_252
| ~ spl0_253 ),
inference(subsumption_resolution,[],[f91957,f5115]) ).
thf(f91957,plain,
( ( $true != vAPP($o,$o,f1,$true) )
| spl0_84
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121
| ~ spl0_180
| ~ spl0_184
| spl0_252
| ~ spl0_253 ),
inference(forward_demodulation,[],[f91956,f31813]) ).
thf(f91956,plain,
( ( $true != vAPP($o,$o,f1,vAPP($o,$o,f2,$true)) )
| spl0_84
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121
| ~ spl0_180
| ~ spl0_184
| spl0_252
| ~ spl0_253 ),
inference(forward_demodulation,[],[f91955,f31813]) ).
thf(f91955,plain,
( ( $true != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))) )
| spl0_84
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121
| ~ spl0_180
| ~ spl0_184
| spl0_252
| ~ spl0_253 ),
inference(forward_demodulation,[],[f91954,f31813]) ).
thf(f91954,plain,
( ( $true != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true)))) )
| spl0_84
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121
| ~ spl0_180
| spl0_252
| ~ spl0_253 ),
inference(forward_demodulation,[],[f91953,f31777]) ).
thf(f91953,plain,
( ( $true != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$true))))) )
| spl0_84
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121
| spl0_252
| ~ spl0_253 ),
inference(subsumption_resolution,[],[f91879,f63780]) ).
thf(f63780,plain,
( ( $false != vAPP($o,$o,f4,vAPP($o,$o,f4,$false)) )
| spl0_252 ),
inference(avatar_component_clause,[],[f63779]) ).
thf(f91879,plain,
( ( $true != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$true))))) )
| ( $false = vAPP($o,$o,f4,vAPP($o,$o,f4,$false)) )
| spl0_84
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121
| ~ spl0_253 ),
inference(superposition,[],[f85100,f68240]) ).
thf(f68240,plain,
( ! [X0: $o] :
( ( $true = vAPP($o,$o,f4,X0) )
| ( $false = X0 ) )
| ~ spl0_253 ),
inference(avatar_component_clause,[],[f68239]) ).
thf(f68239,plain,
( spl0_253
<=> ! [X0: $o] :
( ( $false = X0 )
| ( $true = vAPP($o,$o,f4,X0) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_253])]) ).
thf(f91213,plain,
( spl0_25
| spl0_27
| ~ spl0_29
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116 ),
inference(avatar_contradiction_clause,[],[f91212]) ).
thf(f91212,plain,
( $false
| spl0_25
| spl0_27
| ~ spl0_29
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116 ),
inference(subsumption_resolution,[],[f91211,f90378]) ).
thf(f90378,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))))) )
| spl0_27
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116 ),
inference(backward_demodulation,[],[f89290,f2637]) ).
thf(f2637,plain,
( ( $false = vAPP($o,$o,f5,vAPP($o,$o,f5,$false)) )
| ~ spl0_107 ),
inference(avatar_component_clause,[],[f2635]) ).
thf(f2635,plain,
( spl0_107
<=> ( $false = vAPP($o,$o,f5,vAPP($o,$o,f5,$false)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).
thf(f89290,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false))))))))) )
| spl0_27
| ~ spl0_111
| ~ spl0_116 ),
inference(forward_demodulation,[],[f89289,f2661]) ).
thf(f89289,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true)))))))))) )
| spl0_27
| ~ spl0_116 ),
inference(forward_demodulation,[],[f169,f3024]) ).
thf(f169,plain,
( ( vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,x))))))))))) != $false )
| spl0_27 ),
inference(avatar_component_clause,[],[f168]) ).
thf(f168,plain,
( spl0_27
<=> ( vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,x))))))))))) = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
thf(f91211,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))))) )
| spl0_25
| spl0_27
| ~ spl0_29
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116 ),
inference(subsumption_resolution,[],[f90977,f88726]) ).
thf(f88726,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))))) )
| spl0_25
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116 ),
inference(backward_demodulation,[],[f88466,f2637]) ).
thf(f88466,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false)))))))) )
| spl0_25
| ~ spl0_111
| ~ spl0_116 ),
inference(forward_demodulation,[],[f88465,f2661]) ).
thf(f90977,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))))) )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))))) )
| spl0_27
| ~ spl0_29
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116 ),
inference(binary_proxy_clausification,[],[f90975]) ).
thf(f90975,plain,
( ( vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))))) != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))))) )
| spl0_27
| ~ spl0_29
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116 ),
inference(trivial_inequality_removal,[],[f90970]) ).
thf(f90970,plain,
( ( $false != $false )
| ( vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))))) != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))))) )
| spl0_27
| ~ spl0_29
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116 ),
inference(constrained_superposition,[],[f90378,f90376]) ).
thf(f90376,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))))))) )
| ~ spl0_29
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116 ),
inference(backward_demodulation,[],[f86468,f2637]) ).
thf(f86468,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false)))))))))) )
| ~ spl0_29
| ~ spl0_111
| ~ spl0_116 ),
inference(forward_demodulation,[],[f86467,f2661]) ).
thf(f86467,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true))))))))))) )
| ~ spl0_29
| ~ spl0_116 ),
inference(forward_demodulation,[],[f179,f3024]) ).
thf(f179,plain,
( ( vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,x)))))))))))) = $false )
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f177]) ).
thf(f177,plain,
( spl0_29
<=> ( vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,x)))))))))))) = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
thf(f91204,plain,
( spl0_25
| ~ spl0_29
| spl0_104
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116
| ~ spl0_150 ),
inference(avatar_contradiction_clause,[],[f91203]) ).
thf(f91203,plain,
( $false
| spl0_25
| ~ spl0_29
| spl0_104
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116
| ~ spl0_150 ),
inference(subsumption_resolution,[],[f91202,f90997]) ).
thf(f90997,plain,
( ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))))) )
| ~ spl0_29
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116
| ~ spl0_150 ),
inference(trivial_inequality_removal,[],[f90959]) ).
thf(f90959,plain,
( ( $true = $false )
| ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))))) )
| ~ spl0_29
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116
| ~ spl0_150 ),
inference(constrained_superposition,[],[f90376,f5115]) ).
thf(f91202,plain,
( ( $true = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))))) )
| spl0_25
| ~ spl0_29
| spl0_104
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116
| ~ spl0_150 ),
inference(subsumption_resolution,[],[f90979,f91148]) ).
thf(f91148,plain,
( ( $true != vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))) )
| ~ spl0_29
| spl0_104
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116
| ~ spl0_150 ),
inference(subsumption_resolution,[],[f91147,f2418]) ).
thf(f2418,plain,
( ( $false != vAPP($o,$o,f1,$true) )
| spl0_104 ),
inference(avatar_component_clause,[],[f2417]) ).
thf(f91147,plain,
( ( $false = vAPP($o,$o,f1,$true) )
| ( $true != vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))) )
| ~ spl0_29
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116
| ~ spl0_150 ),
inference(forward_demodulation,[],[f90948,f5115]) ).
thf(f90948,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) )
| ( $true != vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))) )
| ~ spl0_29
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116
| ~ spl0_150 ),
inference(constrained_superposition,[],[f90376,f5115]) ).
thf(f90979,plain,
( ( $true = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))) )
| ( $true = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))))) )
| spl0_25
| ~ spl0_29
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116 ),
inference(binary_proxy_clausification,[],[f90978]) ).
thf(f90978,plain,
( ( vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))) != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))))) )
| spl0_25
| ~ spl0_29
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116 ),
inference(trivial_inequality_removal,[],[f90969]) ).
thf(f90969,plain,
( ( $false != $false )
| ( vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))) != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))))) )
| spl0_25
| ~ spl0_29
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116 ),
inference(constrained_superposition,[],[f88726,f90376]) ).
thf(f91201,plain,
( spl0_23
| spl0_27
| ~ spl0_29
| ~ spl0_103
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116 ),
inference(avatar_contradiction_clause,[],[f91200]) ).
thf(f91200,plain,
( $false
| spl0_23
| spl0_27
| ~ spl0_29
| ~ spl0_103
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116 ),
inference(subsumption_resolution,[],[f91199,f90378]) ).
thf(f91199,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))))) )
| spl0_23
| spl0_27
| ~ spl0_29
| ~ spl0_103
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116 ),
inference(subsumption_resolution,[],[f91198,f88724]) ).
thf(f88724,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))) )
| spl0_23
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116 ),
inference(backward_demodulation,[],[f88253,f2637]) ).
thf(f88253,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false))))))) )
| spl0_23
| ~ spl0_111
| ~ spl0_116 ),
inference(forward_demodulation,[],[f88252,f2661]) ).
thf(f88252,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true)))))))) )
| spl0_23
| ~ spl0_116 ),
inference(forward_demodulation,[],[f151,f3024]) ).
thf(f151,plain,
( ( vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,x))))))))) != $false )
| spl0_23 ),
inference(avatar_component_clause,[],[f150]) ).
thf(f91198,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))) )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))))) )
| spl0_27
| ~ spl0_29
| ~ spl0_103
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116 ),
inference(subsumption_resolution,[],[f90982,f2415]) ).
thf(f2415,plain,
( ( $false = vAPP($o,$o,f1,$false) )
| ~ spl0_103 ),
inference(avatar_component_clause,[],[f2413]) ).
thf(f90982,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))) )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))))) )
| spl0_27
| ~ spl0_29
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116 ),
inference(binary_proxy_clausification,[],[f90968]) ).
thf(f90968,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ( vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))) != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))))) )
| spl0_27
| ~ spl0_29
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116 ),
inference(constrained_superposition,[],[f90378,f90376]) ).
thf(f91187,plain,
( spl0_27
| ~ spl0_29
| spl0_104
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116 ),
inference(avatar_contradiction_clause,[],[f91186]) ).
thf(f91186,plain,
( $false
| spl0_27
| ~ spl0_29
| spl0_104
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116 ),
inference(subsumption_resolution,[],[f90991,f90378]) ).
thf(f90991,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))))) )
| ~ spl0_29
| spl0_104
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116 ),
inference(trivial_inequality_removal,[],[f90963]) ).
thf(f90963,plain,
( ( $false != $false )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))))) )
| ~ spl0_29
| spl0_104
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116 ),
inference(superposition,[],[f87812,f90376]) ).
thf(f87812,plain,
( ! [X0: $o] :
( ( $false != vAPP($o,$o,f1,X0) )
| ( $false = X0 ) )
| spl0_104 ),
inference(superposition,[],[f2418,f4]) ).
thf(f91185,plain,
( spl0_27
| ~ spl0_29
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116
| ~ spl0_151 ),
inference(avatar_contradiction_clause,[],[f91184]) ).
thf(f91184,plain,
( $false
| spl0_27
| ~ spl0_29
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116
| ~ spl0_151 ),
inference(subsumption_resolution,[],[f90992,f90378]) ).
thf(f90992,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))))) )
| ~ spl0_29
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116
| ~ spl0_151 ),
inference(trivial_inequality_removal,[],[f90962]) ).
thf(f90962,plain,
( ( $true = $false )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))))) )
| ~ spl0_29
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116
| ~ spl0_151 ),
inference(superposition,[],[f5165,f90376]) ).
thf(f5165,plain,
( ! [X0: $o] :
( ( $true = vAPP($o,$o,f1,X0) )
| ( $false = X0 ) )
| ~ spl0_151 ),
inference(avatar_component_clause,[],[f5164]) ).
thf(f5164,plain,
( spl0_151
<=> ! [X0: $o] :
( ( $false = X0 )
| ( $true = vAPP($o,$o,f1,X0) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).
thf(f91175,plain,
( spl0_25
| ~ spl0_29
| ~ spl0_103
| spl0_104
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116
| spl0_207
| ~ spl0_210 ),
inference(avatar_contradiction_clause,[],[f91174]) ).
thf(f91174,plain,
( $false
| spl0_25
| ~ spl0_29
| ~ spl0_103
| spl0_104
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116
| spl0_207
| ~ spl0_210 ),
inference(subsumption_resolution,[],[f91173,f88726]) ).
thf(f91173,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))))) )
| ~ spl0_29
| ~ spl0_103
| spl0_104
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116
| spl0_207
| ~ spl0_210 ),
inference(subsumption_resolution,[],[f91172,f89465]) ).
thf(f89465,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))) )
| ~ spl0_103
| spl0_207 ),
inference(trivial_inequality_removal,[],[f89462]) ).
thf(f89462,plain,
( ( $false != $false )
| ( $false != vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))) )
| ~ spl0_103
| spl0_207 ),
inference(constrained_superposition,[],[f43349,f2415]) ).
thf(f43349,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))))) )
| spl0_207 ),
inference(avatar_component_clause,[],[f43348]) ).
thf(f43348,plain,
( spl0_207
<=> ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_207])]) ).
thf(f91172,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))) )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))))) )
| ~ spl0_29
| spl0_104
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116
| ~ spl0_210 ),
inference(subsumption_resolution,[],[f91002,f2418]) ).
thf(f91002,plain,
( ( $false = vAPP($o,$o,f1,$true) )
| ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))) )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))))) )
| ~ spl0_29
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116
| ~ spl0_210 ),
inference(binary_proxy_clausification,[],[f90955]) ).
thf(f90955,plain,
( ( $false = vAPP($o,$o,f1,$true) )
| ( vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))) != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))))) )
| ~ spl0_29
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116
| ~ spl0_210 ),
inference(constrained_superposition,[],[f90376,f43367]) ).
thf(f43367,plain,
( ( $true = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))))) )
| ~ spl0_210 ),
inference(avatar_component_clause,[],[f43365]) ).
thf(f43365,plain,
( spl0_210
<=> ( $true = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_210])]) ).
thf(f91100,plain,
( spl0_19
| ~ spl0_29
| spl0_104
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116
| ~ spl0_150
| ~ spl0_180
| ~ spl0_184 ),
inference(avatar_contradiction_clause,[],[f91099]) ).
thf(f91099,plain,
( $false
| spl0_19
| ~ spl0_29
| spl0_104
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116
| ~ spl0_150
| ~ spl0_180
| ~ spl0_184 ),
inference(subsumption_resolution,[],[f91098,f2418]) ).
thf(f91098,plain,
( ( $false = vAPP($o,$o,f1,$true) )
| spl0_19
| ~ spl0_29
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116
| ~ spl0_150
| ~ spl0_180
| ~ spl0_184 ),
inference(forward_demodulation,[],[f91097,f5115]) ).
thf(f91097,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) )
| spl0_19
| ~ spl0_29
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116
| ~ spl0_150
| ~ spl0_180
| ~ spl0_184 ),
inference(forward_demodulation,[],[f91096,f5115]) ).
thf(f91096,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) )
| spl0_19
| ~ spl0_29
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116
| ~ spl0_180
| ~ spl0_184 ),
inference(forward_demodulation,[],[f91095,f31813]) ).
thf(f91095,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$true)))) )
| spl0_19
| ~ spl0_29
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116
| ~ spl0_180 ),
inference(subsumption_resolution,[],[f90936,f81182]) ).
thf(f81182,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))) )
| spl0_19
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116 ),
inference(backward_demodulation,[],[f81028,f2637]) ).
thf(f81028,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false))))) )
| spl0_19
| ~ spl0_111
| ~ spl0_116 ),
inference(forward_demodulation,[],[f81027,f2661]) ).
thf(f81027,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true)))))) )
| spl0_19
| ~ spl0_116 ),
inference(forward_demodulation,[],[f133,f3024]) ).
thf(f133,plain,
( ( vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,x))))))) != $false )
| spl0_19 ),
inference(avatar_component_clause,[],[f132]) ).
thf(f132,plain,
( spl0_19
<=> ( vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,x))))))) = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
thf(f90936,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$true)))) )
| ( $false = vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))) )
| ~ spl0_29
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116
| ~ spl0_180 ),
inference(superposition,[],[f90376,f87950]) ).
thf(f90389,plain,
( ~ spl0_89
| ~ spl0_111
| spl0_112 ),
inference(avatar_split_clause,[],[f90388,f2673,f2659,f1410]) ).
thf(f1410,plain,
( spl0_89
<=> ( $false = vAPP($o,$o,f5,$false) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).
thf(f2673,plain,
( spl0_112
<=> ( $false = vAPP($o,$o,f5,vAPP($o,$o,f5,$true)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).
thf(f90388,plain,
( ( $false != vAPP($o,$o,f5,$false) )
| ~ spl0_111
| spl0_112 ),
inference(forward_demodulation,[],[f2675,f2661]) ).
thf(f2675,plain,
( ( $false != vAPP($o,$o,f5,vAPP($o,$o,f5,$true)) )
| spl0_112 ),
inference(avatar_component_clause,[],[f2673]) ).
thf(f89274,plain,
( spl0_23
| spl0_25
| ~ spl0_27
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116 ),
inference(avatar_contradiction_clause,[],[f89273]) ).
thf(f89273,plain,
( $false
| spl0_23
| spl0_25
| ~ spl0_27
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116 ),
inference(subsumption_resolution,[],[f89272,f88726]) ).
thf(f89272,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))))) )
| spl0_23
| spl0_25
| ~ spl0_27
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116 ),
inference(subsumption_resolution,[],[f89127,f88724]) ).
thf(f89127,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))) )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))))) )
| spl0_25
| ~ spl0_27
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116 ),
inference(binary_proxy_clausification,[],[f89125]) ).
thf(f89125,plain,
( ( vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))) != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))))) )
| spl0_25
| ~ spl0_27
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116 ),
inference(trivial_inequality_removal,[],[f89124]) ).
thf(f89124,plain,
( ( $false != $false )
| ( vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))) != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))))) )
| spl0_25
| ~ spl0_27
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116 ),
inference(constrained_superposition,[],[f88726,f88725]) ).
thf(f88725,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))))) )
| ~ spl0_27
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116 ),
inference(backward_demodulation,[],[f87354,f2637]) ).
thf(f87354,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false))))))))) )
| ~ spl0_27
| ~ spl0_111
| ~ spl0_116 ),
inference(forward_demodulation,[],[f87353,f2661]) ).
thf(f87353,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true)))))))))) )
| ~ spl0_27
| ~ spl0_116 ),
inference(forward_demodulation,[],[f170,f3024]) ).
thf(f170,plain,
( ( vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,x))))))))))) = $false )
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f168]) ).
thf(f88734,plain,
( ~ spl0_110
| ~ spl0_111
| spl0_125 ),
inference(avatar_split_clause,[],[f88733,f3119,f2659,f2651]) ).
thf(f2651,plain,
( spl0_110
<=> ( $true = vAPP($o,$o,f5,$false) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).
thf(f88733,plain,
( ( $true != vAPP($o,$o,f5,$false) )
| ~ spl0_111
| spl0_125 ),
inference(forward_demodulation,[],[f3120,f2661]) ).
thf(f3120,plain,
( ( $true != vAPP($o,$o,f5,vAPP($o,$o,f5,$true)) )
| spl0_125 ),
inference(avatar_component_clause,[],[f3119]) ).
thf(f88717,plain,
( spl0_23
| spl0_25
| ~ spl0_27
| ~ spl0_110
| ~ spl0_111
| ~ spl0_116 ),
inference(avatar_contradiction_clause,[],[f88716]) ).
thf(f88716,plain,
( $false
| spl0_23
| spl0_25
| ~ spl0_27
| ~ spl0_110
| ~ spl0_111
| ~ spl0_116 ),
inference(subsumption_resolution,[],[f88715,f88468]) ).
thf(f88468,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))))) )
| spl0_25
| ~ spl0_110
| ~ spl0_111
| ~ spl0_116 ),
inference(forward_demodulation,[],[f88467,f2661]) ).
thf(f88467,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$true))))))) )
| spl0_25
| ~ spl0_110
| ~ spl0_111
| ~ spl0_116 ),
inference(forward_demodulation,[],[f88466,f2653]) ).
thf(f2653,plain,
( ( $true = vAPP($o,$o,f5,$false) )
| ~ spl0_110 ),
inference(avatar_component_clause,[],[f2651]) ).
thf(f88715,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))))) )
| spl0_23
| spl0_25
| ~ spl0_27
| ~ spl0_110
| ~ spl0_111
| ~ spl0_116 ),
inference(subsumption_resolution,[],[f88619,f88255]) ).
thf(f88255,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))) )
| spl0_23
| ~ spl0_110
| ~ spl0_111
| ~ spl0_116 ),
inference(forward_demodulation,[],[f88254,f2661]) ).
thf(f88254,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$true)))))) )
| spl0_23
| ~ spl0_110
| ~ spl0_111
| ~ spl0_116 ),
inference(forward_demodulation,[],[f88253,f2653]) ).
thf(f88619,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))) )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))))) )
| spl0_25
| ~ spl0_27
| ~ spl0_110
| ~ spl0_111
| ~ spl0_116 ),
inference(binary_proxy_clausification,[],[f88617]) ).
thf(f88617,plain,
( ( vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))) != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))))) )
| spl0_25
| ~ spl0_27
| ~ spl0_110
| ~ spl0_111
| ~ spl0_116 ),
inference(trivial_inequality_removal,[],[f88616]) ).
thf(f88616,plain,
( ( $false != $false )
| ( vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))) != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))))) )
| spl0_25
| ~ spl0_27
| ~ spl0_110
| ~ spl0_111
| ~ spl0_116 ),
inference(constrained_superposition,[],[f88468,f88463]) ).
thf(f88463,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))))) )
| ~ spl0_27
| ~ spl0_110
| ~ spl0_111
| ~ spl0_116 ),
inference(forward_demodulation,[],[f88462,f2661]) ).
thf(f88462,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$true)))))))) )
| ~ spl0_27
| ~ spl0_110
| ~ spl0_111
| ~ spl0_116 ),
inference(forward_demodulation,[],[f87354,f2653]) ).
thf(f88024,plain,
( ~ spl0_23
| ~ spl0_89
| spl0_102
| ~ spl0_111
| ~ spl0_116
| ~ spl0_180
| spl0_274 ),
inference(avatar_contradiction_clause,[],[f88023]) ).
thf(f88023,plain,
( $false
| ~ spl0_23
| ~ spl0_89
| spl0_102
| ~ spl0_111
| ~ spl0_116
| ~ spl0_180
| spl0_274 ),
inference(subsumption_resolution,[],[f88022,f2236]) ).
thf(f2236,plain,
( ( $false != vAPP($o,$o,f2,$true) )
| spl0_102 ),
inference(avatar_component_clause,[],[f2235]) ).
thf(f88022,plain,
( ( $false = vAPP($o,$o,f2,$true) )
| ~ spl0_23
| ~ spl0_89
| ~ spl0_111
| ~ spl0_116
| ~ spl0_180
| spl0_274 ),
inference(forward_demodulation,[],[f88021,f31777]) ).
thf(f88021,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,$true)) )
| ~ spl0_23
| ~ spl0_89
| ~ spl0_111
| ~ spl0_116
| ~ spl0_180
| spl0_274 ),
inference(forward_demodulation,[],[f88020,f31777]) ).
thf(f88020,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$true))) )
| ~ spl0_23
| ~ spl0_89
| ~ spl0_111
| ~ spl0_116
| spl0_274 ),
inference(subsumption_resolution,[],[f87980,f85183]) ).
thf(f87980,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$true))) )
| ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,$false)) )
| ~ spl0_23
| ~ spl0_89
| ~ spl0_111
| ~ spl0_116 ),
inference(superposition,[],[f87369,f4]) ).
thf(f87369,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))) )
| ~ spl0_23
| ~ spl0_89
| ~ spl0_111
| ~ spl0_116 ),
inference(forward_demodulation,[],[f87368,f1412]) ).
thf(f1412,plain,
( ( $false = vAPP($o,$o,f5,$false) )
| ~ spl0_89 ),
inference(avatar_component_clause,[],[f1410]) ).
thf(f87368,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$false)))))) )
| ~ spl0_23
| ~ spl0_89
| ~ spl0_111
| ~ spl0_116 ),
inference(forward_demodulation,[],[f87367,f1412]) ).
thf(f87367,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false))))))) )
| ~ spl0_23
| ~ spl0_111
| ~ spl0_116 ),
inference(forward_demodulation,[],[f87366,f2661]) ).
thf(f87366,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true)))))))) )
| ~ spl0_23
| ~ spl0_116 ),
inference(forward_demodulation,[],[f152,f3024]) ).
thf(f87683,plain,
( ~ spl0_274
| spl0_17
| ~ spl0_89
| ~ spl0_111
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f87665,f3022,f2659,f1410,f123,f85182]) ).
thf(f87665,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,$false)) )
| spl0_17
| ~ spl0_89
| ~ spl0_111
| ~ spl0_116 ),
inference(forward_demodulation,[],[f87664,f1412]) ).
thf(f87664,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$false))) )
| spl0_17
| ~ spl0_89
| ~ spl0_111
| ~ spl0_116 ),
inference(forward_demodulation,[],[f87663,f1412]) ).
thf(f87663,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false)))) )
| spl0_17
| ~ spl0_111
| ~ spl0_116 ),
inference(forward_demodulation,[],[f87662,f2661]) ).
thf(f87662,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true))))) )
| spl0_17
| ~ spl0_116 ),
inference(forward_demodulation,[],[f124,f3024]) ).
thf(f124,plain,
( ( vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,x)))))) != $false )
| spl0_17 ),
inference(avatar_component_clause,[],[f123]) ).
thf(f87628,plain,
( spl0_30
| ~ spl0_62
| ~ spl0_74
| ~ spl0_150
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f87627,f31811,f5113,f916,f739,f181]) ).
thf(f916,plain,
( spl0_74
<=> ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
thf(f87627,plain,
( ( $true = vAPP($o,$o,f0,$true) )
| ~ spl0_62
| ~ spl0_74
| ~ spl0_150
| ~ spl0_184 ),
inference(forward_demodulation,[],[f87626,f741]) ).
thf(f87626,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ~ spl0_74
| ~ spl0_150
| ~ spl0_184 ),
inference(forward_demodulation,[],[f87625,f5115]) ).
thf(f87625,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ~ spl0_74
| ~ spl0_184 ),
inference(forward_demodulation,[],[f87624,f31813]) ).
thf(f87624,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))))) )
| ~ spl0_74
| ~ spl0_184 ),
inference(forward_demodulation,[],[f87623,f31813]) ).
thf(f87623,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true)))))) )
| ~ spl0_74
| ~ spl0_184 ),
inference(forward_demodulation,[],[f918,f31813]) ).
thf(f918,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))))))) )
| ~ spl0_74 ),
inference(avatar_component_clause,[],[f916]) ).
thf(f87622,plain,
( spl0_30
| ~ spl0_62
| ~ spl0_76
| ~ spl0_150
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f87621,f31811,f5113,f933,f739,f181]) ).
thf(f933,plain,
( spl0_76
<=> ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
thf(f87621,plain,
( ( $true = vAPP($o,$o,f0,$true) )
| ~ spl0_62
| ~ spl0_76
| ~ spl0_150
| ~ spl0_184 ),
inference(forward_demodulation,[],[f87620,f741]) ).
thf(f87620,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ~ spl0_76
| ~ spl0_150
| ~ spl0_184 ),
inference(forward_demodulation,[],[f87619,f5115]) ).
thf(f87619,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ~ spl0_76
| ~ spl0_184 ),
inference(forward_demodulation,[],[f87618,f31813]) ).
thf(f87618,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))))) )
| ~ spl0_76
| ~ spl0_184 ),
inference(forward_demodulation,[],[f935,f31813]) ).
thf(f935,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true)))))) )
| ~ spl0_76 ),
inference(avatar_component_clause,[],[f933]) ).
thf(f87609,plain,
( spl0_30
| ~ spl0_62
| ~ spl0_80
| ~ spl0_150 ),
inference(avatar_split_clause,[],[f87608,f5113,f964,f739,f181]) ).
thf(f964,plain,
( spl0_80
<=> ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
thf(f87608,plain,
( ( $true = vAPP($o,$o,f0,$true) )
| ~ spl0_62
| ~ spl0_80
| ~ spl0_150 ),
inference(forward_demodulation,[],[f87607,f741]) ).
thf(f87607,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ~ spl0_80
| ~ spl0_150 ),
inference(forward_demodulation,[],[f966,f5115]) ).
thf(f966,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ~ spl0_80 ),
inference(avatar_component_clause,[],[f964]) ).
thf(f87606,plain,
( spl0_30
| ~ spl0_62
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f87605,f978,f739,f181]) ).
thf(f978,plain,
( spl0_82
<=> ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
thf(f87605,plain,
( ( $true = vAPP($o,$o,f0,$true) )
| ~ spl0_62
| ~ spl0_82 ),
inference(forward_demodulation,[],[f980,f741]) ).
thf(f980,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ~ spl0_82 ),
inference(avatar_component_clause,[],[f978]) ).
thf(f87589,plain,
( ~ spl0_56
| ~ spl0_150
| spl0_158
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f87588,f31811,f6236,f5113,f484]) ).
thf(f6236,plain,
( spl0_158
<=> ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).
thf(f87588,plain,
( ( $false != vAPP($o,$o,f0,$true) )
| ~ spl0_150
| spl0_158
| ~ spl0_184 ),
inference(forward_demodulation,[],[f87587,f5115]) ).
thf(f87587,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ~ spl0_150
| spl0_158
| ~ spl0_184 ),
inference(forward_demodulation,[],[f87586,f5115]) ).
thf(f87586,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) )
| ~ spl0_150
| spl0_158
| ~ spl0_184 ),
inference(forward_demodulation,[],[f87585,f5115]) ).
thf(f87585,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$true)))) )
| spl0_158
| ~ spl0_184 ),
inference(forward_demodulation,[],[f6237,f31813]) ).
thf(f6237,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))))) )
| spl0_158 ),
inference(avatar_component_clause,[],[f6236]) ).
thf(f87530,plain,
( ~ spl0_103
| ~ spl0_173
| spl0_207
| ~ spl0_274 ),
inference(avatar_contradiction_clause,[],[f87529]) ).
thf(f87529,plain,
( $false
| ~ spl0_103
| ~ spl0_173
| spl0_207
| ~ spl0_274 ),
inference(subsumption_resolution,[],[f87528,f2415]) ).
thf(f87528,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ~ spl0_173
| spl0_207
| ~ spl0_274 ),
inference(forward_demodulation,[],[f87527,f19785]) ).
thf(f87527,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,$false)) )
| ~ spl0_173
| spl0_207
| ~ spl0_274 ),
inference(forward_demodulation,[],[f87526,f19785]) ).
thf(f87526,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$false))) )
| ~ spl0_173
| spl0_207
| ~ spl0_274 ),
inference(forward_demodulation,[],[f87525,f19785]) ).
thf(f87525,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$false)))) )
| spl0_207
| ~ spl0_274 ),
inference(forward_demodulation,[],[f43349,f85184]) ).
thf(f85184,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,$false)) )
| ~ spl0_274 ),
inference(avatar_component_clause,[],[f85182]) ).
thf(f87524,plain,
( ~ spl0_56
| ~ spl0_94
| spl0_208 ),
inference(avatar_split_clause,[],[f87523,f43352,f1674,f484]) ).
thf(f87523,plain,
( ( $false != vAPP($o,$o,f0,$true) )
| ~ spl0_94
| spl0_208 ),
inference(forward_demodulation,[],[f43353,f1676]) ).
thf(f1676,plain,
( ( $true = vAPP($o,$o,f0,$false) )
| ~ spl0_94 ),
inference(avatar_component_clause,[],[f1674]) ).
thf(f43353,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,$false)) )
| spl0_208 ),
inference(avatar_component_clause,[],[f43352]) ).
thf(f87434,plain,
( spl0_214
| ~ spl0_235
| ~ spl0_268 ),
inference(avatar_split_clause,[],[f86184,f76187,f59612,f51432]) ).
thf(f86184,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$true))))) )
| ~ spl0_235
| ~ spl0_268 ),
inference(forward_demodulation,[],[f76189,f59613]) ).
thf(f76189,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true)))))) )
| ~ spl0_268 ),
inference(avatar_component_clause,[],[f76187]) ).
thf(f87433,plain,
( ~ spl0_178
| spl0_137
| ~ spl0_138 ),
inference(avatar_split_clause,[],[f86320,f4312,f4036,f27616]) ).
thf(f4036,plain,
( spl0_137
<=> ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$false)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).
thf(f86320,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$true))) )
| spl0_137
| ~ spl0_138 ),
inference(forward_demodulation,[],[f4037,f4314]) ).
thf(f4037,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$false)))) )
| spl0_137 ),
inference(avatar_component_clause,[],[f4036]) ).
thf(f87423,plain,
( ~ spl0_141
| spl0_75
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121
| ~ spl0_235
| spl0_252 ),
inference(avatar_split_clause,[],[f86853,f63779,f59612,f3084,f3022,f2659,f929,f4392]) ).
thf(f86853,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f3,$true)) )
| spl0_75
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121
| ~ spl0_235
| spl0_252 ),
inference(forward_demodulation,[],[f86852,f59613]) ).
thf(f86852,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))) )
| spl0_75
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121
| spl0_252 ),
inference(subsumption_resolution,[],[f86838,f63780]) ).
thf(f86838,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))) )
| ( $false = vAPP($o,$o,f4,vAPP($o,$o,f4,$false)) )
| spl0_75
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121 ),
inference(superposition,[],[f86404,f4]) ).
thf(f87420,plain,
( ~ spl0_214
| spl0_81
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121
| spl0_211
| ~ spl0_235 ),
inference(avatar_split_clause,[],[f86969,f59612,f47486,f3084,f3022,f2659,f974,f51432]) ).
thf(f86969,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$true))))) )
| spl0_81
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121
| spl0_211
| ~ spl0_235 ),
inference(forward_demodulation,[],[f86968,f59613]) ).
thf(f86968,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true)))))) )
| spl0_81
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121
| spl0_211
| ~ spl0_235 ),
inference(forward_demodulation,[],[f86967,f59613]) ).
thf(f86967,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$true))))))) )
| spl0_81
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121
| spl0_211 ),
inference(subsumption_resolution,[],[f86943,f47487]) ).
thf(f86943,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$true))))))) )
| ( $false = vAPP($o,$o,f4,$false) )
| spl0_81
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121 ),
inference(superposition,[],[f86382,f4]) ).
thf(f87416,plain,
( ~ spl0_214
| spl0_81
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121
| spl0_213 ),
inference(avatar_split_clause,[],[f86997,f51427,f3084,f3022,f2659,f974,f51432]) ).
thf(f86997,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$true))))) )
| spl0_81
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121
| spl0_213 ),
inference(subsumption_resolution,[],[f86947,f51428]) ).
thf(f86947,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$true))))) )
| ( $false = vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$false))) )
| spl0_81
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121 ),
inference(superposition,[],[f86382,f4]) ).
thf(f87248,plain,
( spl0_103
| ~ spl0_173
| ~ spl0_174 ),
inference(avatar_split_clause,[],[f87243,f22938,f19783,f2413]) ).
thf(f87243,plain,
( ( $false = vAPP($o,$o,f1,$false) )
| ~ spl0_173
| ~ spl0_174 ),
inference(backward_demodulation,[],[f22940,f19785]) ).
thf(f87221,plain,
( ~ spl0_28
| ~ spl0_184
| spl0_196 ),
inference(avatar_split_clause,[],[f87220,f33127,f31811,f172]) ).
thf(f87220,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ~ spl0_184
| spl0_196 ),
inference(forward_demodulation,[],[f87219,f31813]) ).
thf(f87219,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))) )
| ~ spl0_184
| spl0_196 ),
inference(forward_demodulation,[],[f33128,f31813]) ).
thf(f87218,plain,
( ~ spl0_104
| ~ spl0_184
| spl0_197 ),
inference(avatar_split_clause,[],[f87217,f33151,f31811,f2417]) ).
thf(f33151,plain,
( spl0_197
<=> ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_197])]) ).
thf(f87217,plain,
( ( $false != vAPP($o,$o,f1,$true) )
| ~ spl0_184
| spl0_197 ),
inference(forward_demodulation,[],[f87216,f31813]) ).
thf(f87216,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,$true)) )
| ~ spl0_184
| spl0_197 ),
inference(forward_demodulation,[],[f33152,f31813]) ).
thf(f33152,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))) )
| spl0_197 ),
inference(avatar_component_clause,[],[f33151]) ).
thf(f87215,plain,
( ~ spl0_104
| ~ spl0_184
| spl0_198 ),
inference(avatar_split_clause,[],[f87214,f33174,f31811,f2417]) ).
thf(f87214,plain,
( ( $false != vAPP($o,$o,f1,$true) )
| ~ spl0_184
| spl0_198 ),
inference(forward_demodulation,[],[f87213,f31813]) ).
thf(f87213,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,$true)) )
| ~ spl0_184
| spl0_198 ),
inference(forward_demodulation,[],[f87212,f31813]) ).
thf(f87212,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))) )
| ~ spl0_184
| spl0_198 ),
inference(forward_demodulation,[],[f33175,f31813]) ).
thf(f87185,plain,
( spl0_173
| ~ spl0_143
| ~ spl0_235
| ~ spl0_241 ),
inference(avatar_split_clause,[],[f87184,f60546,f59612,f4459,f19783]) ).
thf(f87184,plain,
( ( $false = vAPP($o,$o,f2,$false) )
| ~ spl0_143
| ~ spl0_235
| ~ spl0_241 ),
inference(forward_demodulation,[],[f87183,f4461]) ).
thf(f87183,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,$true)) )
| ~ spl0_235
| ~ spl0_241 ),
inference(forward_demodulation,[],[f60547,f59613]) ).
thf(f87159,plain,
( spl0_173
| ~ spl0_143
| ~ spl0_235
| ~ spl0_263 ),
inference(avatar_split_clause,[],[f87158,f74567,f59612,f4459,f19783]) ).
thf(f87158,plain,
( ( $false = vAPP($o,$o,f2,$false) )
| ~ spl0_143
| ~ spl0_235
| ~ spl0_263 ),
inference(forward_demodulation,[],[f87157,f4461]) ).
thf(f87157,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,$true)) )
| ~ spl0_235
| ~ spl0_263 ),
inference(forward_demodulation,[],[f87156,f59613]) ).
thf(f87156,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))) )
| ~ spl0_235
| ~ spl0_263 ),
inference(forward_demodulation,[],[f87155,f59613]) ).
thf(f87155,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$true)))) )
| ~ spl0_235
| ~ spl0_263 ),
inference(forward_demodulation,[],[f74569,f59613]) ).
thf(f74569,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$true))))) )
| ~ spl0_263 ),
inference(avatar_component_clause,[],[f74567]) ).
thf(f87106,plain,
( spl0_280
| ~ spl0_207
| ~ spl0_274 ),
inference(avatar_split_clause,[],[f86250,f85182,f43348,f87083]) ).
thf(f87083,plain,
( spl0_280
<=> ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$false)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_280])]) ).
thf(f86250,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$false)))) )
| ~ spl0_207
| ~ spl0_274 ),
inference(forward_demodulation,[],[f43350,f85184]) ).
thf(f43350,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))))) )
| ~ spl0_207 ),
inference(avatar_component_clause,[],[f43348]) ).
thf(f87093,plain,
( spl0_174
| ~ spl0_89
| ~ spl0_98
| ~ spl0_138
| ~ spl0_143
| ~ spl0_274 ),
inference(avatar_split_clause,[],[f86579,f85182,f4459,f4312,f2071,f1410,f22938]) ).
thf(f2071,plain,
( spl0_98
<=> ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$false))))))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).
thf(f86579,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,$false)) )
| ~ spl0_89
| ~ spl0_98
| ~ spl0_138
| ~ spl0_143
| ~ spl0_274 ),
inference(forward_demodulation,[],[f86578,f4461]) ).
thf(f86578,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$true))) )
| ~ spl0_89
| ~ spl0_98
| ~ spl0_138
| ~ spl0_274 ),
inference(forward_demodulation,[],[f86577,f4314]) ).
thf(f86577,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$false)))) )
| ~ spl0_89
| ~ spl0_98
| ~ spl0_274 ),
inference(forward_demodulation,[],[f86576,f85184]) ).
thf(f86576,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))))) )
| ~ spl0_89
| ~ spl0_98 ),
inference(forward_demodulation,[],[f86575,f1412]) ).
thf(f86575,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$false))))))) )
| ~ spl0_89
| ~ spl0_98 ),
inference(forward_demodulation,[],[f86574,f1412]) ).
thf(f86574,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false)))))))) )
| ~ spl0_89
| ~ spl0_98 ),
inference(forward_demodulation,[],[f2073,f1412]) ).
thf(f2073,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$false))))))))) )
| ~ spl0_98 ),
inference(avatar_component_clause,[],[f2071]) ).
thf(f87092,plain,
( ~ spl0_280
| spl0_81
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121
| ~ spl0_143
| spl0_211
| ~ spl0_235 ),
inference(avatar_split_clause,[],[f86970,f59612,f47486,f4459,f3084,f3022,f2659,f974,f87083]) ).
thf(f86970,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$false)))) )
| spl0_81
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121
| ~ spl0_143
| spl0_211
| ~ spl0_235 ),
inference(forward_demodulation,[],[f86969,f4461]) ).
thf(f87065,plain,
( ~ spl0_104
| spl0_81
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121
| ~ spl0_184
| spl0_218 ),
inference(avatar_split_clause,[],[f87017,f51716,f31811,f3084,f3022,f2659,f974,f2417]) ).
thf(f87017,plain,
( ( $false != vAPP($o,$o,f1,$true) )
| spl0_81
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121
| ~ spl0_184
| spl0_218 ),
inference(forward_demodulation,[],[f87016,f31813]) ).
thf(f87016,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,$true)) )
| spl0_81
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121
| ~ spl0_184
| spl0_218 ),
inference(forward_demodulation,[],[f87015,f31813]) ).
thf(f87015,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))) )
| spl0_81
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121
| ~ spl0_184
| spl0_218 ),
inference(forward_demodulation,[],[f87014,f31813]) ).
thf(f87014,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true)))) )
| spl0_81
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121
| spl0_218 ),
inference(subsumption_resolution,[],[f86951,f51717]) ).
thf(f86951,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true)))) )
| ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$false)))) )
| spl0_81
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121 ),
inference(superposition,[],[f86382,f4]) ).
thf(f86376,plain,
( ~ spl0_56
| spl0_85
| ~ spl0_94
| ~ spl0_104
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121
| ~ spl0_138
| ~ spl0_184
| ~ spl0_213 ),
inference(avatar_split_clause,[],[f86375,f51427,f31811,f4312,f3084,f3022,f2659,f2417,f1674,f996,f484]) ).
thf(f86375,plain,
( ( $false != vAPP($o,$o,f0,$true) )
| spl0_85
| ~ spl0_94
| ~ spl0_104
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121
| ~ spl0_138
| ~ spl0_184
| ~ spl0_213 ),
inference(forward_demodulation,[],[f86374,f1676]) ).
thf(f86374,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,$false)) )
| spl0_85
| ~ spl0_104
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121
| ~ spl0_138
| ~ spl0_184
| ~ spl0_213 ),
inference(forward_demodulation,[],[f86373,f2419]) ).
thf(f86373,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true))) )
| spl0_85
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121
| ~ spl0_138
| ~ spl0_184
| ~ spl0_213 ),
inference(forward_demodulation,[],[f86372,f31813]) ).
thf(f86372,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$true)))) )
| spl0_85
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121
| ~ spl0_138
| ~ spl0_184
| ~ spl0_213 ),
inference(forward_demodulation,[],[f86371,f31813]) ).
thf(f86371,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))))) )
| spl0_85
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121
| ~ spl0_138
| ~ spl0_184
| ~ spl0_213 ),
inference(forward_demodulation,[],[f86370,f31813]) ).
thf(f86370,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true)))))) )
| spl0_85
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121
| ~ spl0_138
| ~ spl0_213 ),
inference(forward_demodulation,[],[f86369,f4314]) ).
thf(f86369,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$false))))))) )
| spl0_85
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121
| ~ spl0_213 ),
inference(forward_demodulation,[],[f86368,f51429]) ).
thf(f51429,plain,
( ( $false = vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$false))) )
| ~ spl0_213 ),
inference(avatar_component_clause,[],[f51427]) ).
thf(f86368,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$false)))))))))) )
| spl0_85
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121 ),
inference(forward_demodulation,[],[f86367,f2661]) ).
thf(f86347,plain,
( spl0_94
| ~ spl0_28
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f86342,f2417,f172,f1674]) ).
thf(f86342,plain,
( ( $true = vAPP($o,$o,f0,$false) )
| ~ spl0_28
| ~ spl0_104 ),
inference(backward_demodulation,[],[f174,f2419]) ).
thf(f86323,plain,
( ~ spl0_102
| spl0_137
| ~ spl0_138
| ~ spl0_143 ),
inference(avatar_split_clause,[],[f86322,f4459,f4312,f4036,f2235]) ).
thf(f86322,plain,
( ( $false != vAPP($o,$o,f2,$true) )
| spl0_137
| ~ spl0_138
| ~ spl0_143 ),
inference(forward_demodulation,[],[f86321,f4314]) ).
thf(f86321,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f3,$false)) )
| spl0_137
| ~ spl0_138
| ~ spl0_143 ),
inference(forward_demodulation,[],[f86320,f4461]) ).
thf(f86315,plain,
( ~ spl0_56
| ~ spl0_28
| ~ spl0_111
| ~ spl0_121
| ~ spl0_138
| spl0_155
| ~ spl0_184
| ~ spl0_213 ),
inference(avatar_split_clause,[],[f86314,f51427,f31811,f5832,f4312,f3084,f2659,f172,f484]) ).
thf(f5832,plain,
( spl0_155
<=> ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$true))))))))))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).
thf(f86314,plain,
( ( $false != vAPP($o,$o,f0,$true) )
| ~ spl0_28
| ~ spl0_111
| ~ spl0_121
| ~ spl0_138
| spl0_155
| ~ spl0_184
| ~ spl0_213 ),
inference(forward_demodulation,[],[f86313,f174]) ).
thf(f86313,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true))) )
| ~ spl0_111
| ~ spl0_121
| ~ spl0_138
| spl0_155
| ~ spl0_184
| ~ spl0_213 ),
inference(forward_demodulation,[],[f86312,f31813]) ).
thf(f86312,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$true)))) )
| ~ spl0_111
| ~ spl0_121
| ~ spl0_138
| spl0_155
| ~ spl0_184
| ~ spl0_213 ),
inference(forward_demodulation,[],[f86311,f31813]) ).
thf(f86311,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))))) )
| ~ spl0_111
| ~ spl0_121
| ~ spl0_138
| spl0_155
| ~ spl0_184
| ~ spl0_213 ),
inference(forward_demodulation,[],[f86310,f31813]) ).
thf(f86310,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true)))))) )
| ~ spl0_111
| ~ spl0_121
| ~ spl0_138
| spl0_155
| ~ spl0_213 ),
inference(forward_demodulation,[],[f86309,f4314]) ).
thf(f86309,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$false))))))) )
| ~ spl0_111
| ~ spl0_121
| spl0_155
| ~ spl0_213 ),
inference(forward_demodulation,[],[f86308,f51429]) ).
thf(f86308,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$false)))))))))) )
| ~ spl0_111
| ~ spl0_121
| spl0_155 ),
inference(forward_demodulation,[],[f86307,f2661]) ).
thf(f86307,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,$true))))))))))) )
| ~ spl0_121
| spl0_155 ),
inference(forward_demodulation,[],[f86306,f3086]) ).
thf(f86306,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,$true)))))))))))) )
| ~ spl0_121
| spl0_155 ),
inference(forward_demodulation,[],[f5833,f3086]) ).
thf(f5833,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$true))))))))))))) )
| spl0_155 ),
inference(avatar_component_clause,[],[f5832]) ).
thf(f86286,plain,
( ~ spl0_102
| ~ spl0_138
| ~ spl0_143
| spl0_178 ),
inference(avatar_split_clause,[],[f86285,f27616,f4459,f4312,f2235]) ).
thf(f86285,plain,
( ( $false != vAPP($o,$o,f2,$true) )
| ~ spl0_138
| ~ spl0_143
| spl0_178 ),
inference(forward_demodulation,[],[f86284,f4314]) ).
thf(f86284,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f3,$false)) )
| ~ spl0_143
| spl0_178 ),
inference(forward_demodulation,[],[f27617,f4461]) ).
thf(f27617,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$true))) )
| spl0_178 ),
inference(avatar_component_clause,[],[f27616]) ).
thf(f86080,plain,
( ~ spl0_174
| ~ spl0_89
| spl0_98
| ~ spl0_107
| ~ spl0_138
| ~ spl0_143
| ~ spl0_274 ),
inference(avatar_split_clause,[],[f85809,f85182,f4459,f4312,f2635,f2071,f1410,f22938]) ).
thf(f85809,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,$false)) )
| ~ spl0_89
| spl0_98
| ~ spl0_107
| ~ spl0_138
| ~ spl0_143
| ~ spl0_274 ),
inference(forward_demodulation,[],[f85808,f4461]) ).
thf(f85808,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$true))) )
| ~ spl0_89
| spl0_98
| ~ spl0_107
| ~ spl0_138
| ~ spl0_274 ),
inference(forward_demodulation,[],[f85807,f4314]) ).
thf(f85807,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$false)))) )
| ~ spl0_89
| spl0_98
| ~ spl0_107
| ~ spl0_274 ),
inference(forward_demodulation,[],[f85793,f85184]) ).
thf(f85793,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))))) )
| ~ spl0_89
| spl0_98
| ~ spl0_107 ),
inference(backward_demodulation,[],[f85781,f1412]) ).
thf(f85781,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$false))))))) )
| spl0_98
| ~ spl0_107 ),
inference(forward_demodulation,[],[f2072,f2637]) ).
thf(f2072,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$false))))))))) )
| spl0_98 ),
inference(avatar_component_clause,[],[f2071]) ).
thf(f86070,plain,
( ~ spl0_75
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121
| ~ spl0_143
| spl0_173
| ~ spl0_235
| spl0_252 ),
inference(avatar_contradiction_clause,[],[f86069]) ).
thf(f86069,plain,
( $false
| ~ spl0_75
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121
| ~ spl0_143
| spl0_173
| ~ spl0_235
| spl0_252 ),
inference(subsumption_resolution,[],[f86068,f19784]) ).
thf(f86068,plain,
( ( $false = vAPP($o,$o,f2,$false) )
| ~ spl0_75
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121
| ~ spl0_143
| ~ spl0_235
| spl0_252 ),
inference(forward_demodulation,[],[f86067,f4461]) ).
thf(f86067,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,$true)) )
| ~ spl0_75
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121
| ~ spl0_235
| spl0_252 ),
inference(forward_demodulation,[],[f86066,f59613]) ).
thf(f86066,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))) )
| ~ spl0_75
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121
| spl0_252 ),
inference(subsumption_resolution,[],[f86047,f63780]) ).
thf(f86047,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))) )
| ( $false = vAPP($o,$o,f4,vAPP($o,$o,f4,$false)) )
| ~ spl0_75
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121 ),
inference(superposition,[],[f85115,f4]) ).
thf(f85115,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$false))))) )
| ~ spl0_75
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121 ),
inference(forward_demodulation,[],[f85114,f2661]) ).
thf(f85114,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,$true)))))) )
| ~ spl0_75
| ~ spl0_116
| ~ spl0_121 ),
inference(forward_demodulation,[],[f85113,f3086]) ).
thf(f85113,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,$true))))))) )
| ~ spl0_75
| ~ spl0_116
| ~ spl0_121 ),
inference(forward_demodulation,[],[f85112,f3086]) ).
thf(f85112,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$true)))))))) )
| ~ spl0_75
| ~ spl0_116 ),
inference(forward_demodulation,[],[f931,f3024]) ).
thf(f931,plain,
( ( vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x))))))))) = $false )
| ~ spl0_75 ),
inference(avatar_component_clause,[],[f929]) ).
thf(f85736,plain,
( spl0_93
| ~ spl0_103
| ~ spl0_154 ),
inference(avatar_split_clause,[],[f85735,f5828,f2413,f1668]) ).
thf(f85735,plain,
( ( $false = vAPP($o,$o,f0,$false) )
| ~ spl0_103
| ~ spl0_154 ),
inference(forward_demodulation,[],[f5830,f2415]) ).
thf(f85734,plain,
( spl0_93
| ~ spl0_140
| ~ spl0_143
| ~ spl0_156
| ~ spl0_162 ),
inference(avatar_split_clause,[],[f85733,f6339,f6222,f4459,f4388,f1668]) ).
thf(f4388,plain,
( spl0_140
<=> ( $false = vAPP($o,$o,f3,vAPP($o,$o,f3,$false)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).
thf(f6222,plain,
( spl0_156
<=> ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$true))))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).
thf(f6339,plain,
( spl0_162
<=> ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$false))))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).
thf(f85733,plain,
( ( $false = vAPP($o,$o,f0,$false) )
| ~ spl0_140
| ~ spl0_143
| ~ spl0_156
| ~ spl0_162 ),
inference(forward_demodulation,[],[f85732,f85515]) ).
thf(f85515,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$false))))) )
| ~ spl0_140
| ~ spl0_162 ),
inference(backward_demodulation,[],[f6341,f4390]) ).
thf(f4390,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f3,$false)) )
| ~ spl0_140 ),
inference(avatar_component_clause,[],[f4388]) ).
thf(f6341,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$false))))))) )
| ~ spl0_162 ),
inference(avatar_component_clause,[],[f6339]) ).
thf(f85732,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$false)))))) )
| ~ spl0_143
| ~ spl0_156 ),
inference(forward_demodulation,[],[f6224,f4461]) ).
thf(f6224,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$true))))))) )
| ~ spl0_156 ),
inference(avatar_component_clause,[],[f6222]) ).
thf(f85721,plain,
( ~ spl0_157
| ~ spl0_143
| spl0_164 ),
inference(avatar_split_clause,[],[f85720,f7255,f4459,f6226]) ).
thf(f7255,plain,
( spl0_164
<=> ( $false = vAPP($o,$o,f3,vAPP($o,$o,f3,$true)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).
thf(f85720,plain,
( ( $false != vAPP($o,$o,f3,$false) )
| ~ spl0_143
| spl0_164 ),
inference(forward_demodulation,[],[f7257,f4461]) ).
thf(f7257,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f3,$true)) )
| spl0_164 ),
inference(avatar_component_clause,[],[f7255]) ).
thf(f85719,plain,
( ~ spl0_104
| ~ spl0_102
| spl0_174
| ~ spl0_182 ),
inference(avatar_split_clause,[],[f85718,f31783,f22938,f2235,f2417]) ).
thf(f85718,plain,
( ( $false != vAPP($o,$o,f1,$true) )
| ~ spl0_102
| spl0_174
| ~ spl0_182 ),
inference(forward_demodulation,[],[f22939,f84301]) ).
thf(f84301,plain,
( ( $true = vAPP($o,$o,f2,$false) )
| ~ spl0_102
| ~ spl0_182 ),
inference(forward_demodulation,[],[f31785,f2237]) ).
thf(f2237,plain,
( ( $false = vAPP($o,$o,f2,$true) )
| ~ spl0_102 ),
inference(avatar_component_clause,[],[f2235]) ).
thf(f85714,plain,
( spl0_101
| ~ spl0_143
| ~ spl0_178 ),
inference(avatar_split_clause,[],[f85713,f27616,f4459,f2231]) ).
thf(f85713,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,$false)) )
| ~ spl0_143
| ~ spl0_178 ),
inference(forward_demodulation,[],[f27618,f4461]) ).
thf(f85696,plain,
( ~ spl0_104
| ~ spl0_102
| ~ spl0_182
| spl0_197 ),
inference(avatar_split_clause,[],[f85695,f33151,f31783,f2235,f2417]) ).
thf(f85695,plain,
( ( $false != vAPP($o,$o,f1,$true) )
| ~ spl0_102
| ~ spl0_182
| spl0_197 ),
inference(forward_demodulation,[],[f85694,f84301]) ).
thf(f85694,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,$false)) )
| ~ spl0_102
| spl0_197 ),
inference(forward_demodulation,[],[f33152,f2237]) ).
thf(f85632,plain,
( spl0_93
| ~ spl0_103
| ~ spl0_208
| ~ spl0_239 ),
inference(avatar_split_clause,[],[f85631,f60534,f43352,f2413,f1668]) ).
thf(f85631,plain,
( ( $false = vAPP($o,$o,f0,$false) )
| ~ spl0_103
| ~ spl0_208
| ~ spl0_239 ),
inference(forward_demodulation,[],[f85630,f43354]) ).
thf(f85630,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$false))) )
| ~ spl0_103
| ~ spl0_239 ),
inference(forward_demodulation,[],[f60535,f2415]) ).
thf(f85627,plain,
( spl0_93
| ~ spl0_102
| ~ spl0_103
| ~ spl0_182
| ~ spl0_208
| ~ spl0_247 ),
inference(avatar_split_clause,[],[f85626,f62144,f43352,f31783,f2413,f2235,f1668]) ).
thf(f85626,plain,
( ( $false = vAPP($o,$o,f0,$false) )
| ~ spl0_102
| ~ spl0_103
| ~ spl0_182
| ~ spl0_208
| ~ spl0_247 ),
inference(forward_demodulation,[],[f85625,f43354]) ).
thf(f85625,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$false))) )
| ~ spl0_102
| ~ spl0_103
| ~ spl0_182
| ~ spl0_247 ),
inference(forward_demodulation,[],[f85624,f2415]) ).
thf(f85624,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$false)))) )
| ~ spl0_102
| ~ spl0_182
| ~ spl0_247 ),
inference(forward_demodulation,[],[f85623,f2237]) ).
thf(f85623,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))))) )
| ~ spl0_102
| ~ spl0_182
| ~ spl0_247 ),
inference(forward_demodulation,[],[f62146,f84301]) ).
thf(f62146,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$false)))))) )
| ~ spl0_247 ),
inference(avatar_component_clause,[],[f62144]) ).
thf(f85617,plain,
( ~ spl0_103
| ~ spl0_208
| spl0_267 ),
inference(avatar_contradiction_clause,[],[f85616]) ).
thf(f85616,plain,
( $false
| ~ spl0_103
| ~ spl0_208
| spl0_267 ),
inference(subsumption_resolution,[],[f85615,f43354]) ).
thf(f85615,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,$false)) )
| ~ spl0_103
| spl0_267 ),
inference(forward_demodulation,[],[f76174,f2415]) ).
thf(f76174,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$false))) )
| spl0_267 ),
inference(avatar_component_clause,[],[f76173]) ).
thf(f76173,plain,
( spl0_267
<=> ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$false))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_267])]) ).
thf(f85608,plain,
( ~ spl0_94
| ~ spl0_103
| spl0_270 ),
inference(avatar_split_clause,[],[f85607,f76232,f2413,f1674]) ).
thf(f85607,plain,
( ( $true != vAPP($o,$o,f0,$false) )
| ~ spl0_103
| spl0_270 ),
inference(forward_demodulation,[],[f76233,f2415]) ).
thf(f76233,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| spl0_270 ),
inference(avatar_component_clause,[],[f76232]) ).
thf(f85606,plain,
( ~ spl0_157
| spl0_19
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116
| ~ spl0_274 ),
inference(avatar_split_clause,[],[f85600,f85182,f3022,f2659,f2635,f132,f6226]) ).
thf(f85600,plain,
( ( $false != vAPP($o,$o,f3,$false) )
| spl0_19
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116
| ~ spl0_274 ),
inference(backward_demodulation,[],[f81182,f85184]) ).
thf(f85514,plain,
( spl0_274
| ~ spl0_17
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f85509,f3022,f2659,f2635,f123,f85182]) ).
thf(f85509,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,$false)) )
| ~ spl0_17
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116 ),
inference(backward_demodulation,[],[f85492,f2637]) ).
thf(f85492,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false)))) )
| ~ spl0_17
| ~ spl0_111
| ~ spl0_116 ),
inference(forward_demodulation,[],[f85491,f2661]) ).
thf(f85491,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true))))) )
| ~ spl0_17
| ~ spl0_116 ),
inference(forward_demodulation,[],[f125,f3024]) ).
thf(f85371,plain,
( spl0_104
| ~ spl0_102
| ~ spl0_182
| ~ spl0_207
| ~ spl0_215 ),
inference(avatar_split_clause,[],[f85370,f51702,f43348,f31783,f2235,f2417]) ).
thf(f51702,plain,
( spl0_215
<=> ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_215])]) ).
thf(f85370,plain,
( ( $false = vAPP($o,$o,f1,$true) )
| ~ spl0_102
| ~ spl0_182
| ~ spl0_207
| ~ spl0_215 ),
inference(forward_demodulation,[],[f85369,f84301]) ).
thf(f85369,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,$false)) )
| ~ spl0_207
| ~ spl0_215 ),
inference(backward_demodulation,[],[f43350,f51704]) ).
thf(f51704,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))) )
| ~ spl0_215 ),
inference(avatar_component_clause,[],[f51702]) ).
thf(f85334,plain,
( ~ spl0_235
| ~ spl0_256
| spl0_259 ),
inference(avatar_contradiction_clause,[],[f85333]) ).
thf(f85333,plain,
( $false
| ~ spl0_235
| ~ spl0_256
| spl0_259 ),
inference(subsumption_resolution,[],[f85332,f73852]) ).
thf(f73852,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$true)))) )
| ~ spl0_256 ),
inference(avatar_component_clause,[],[f73851]) ).
thf(f73851,plain,
( spl0_256
<=> ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$true)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_256])]) ).
thf(f85332,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$true)))) )
| ~ spl0_235
| spl0_259 ),
inference(forward_demodulation,[],[f85331,f59613]) ).
thf(f85331,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))))) )
| ~ spl0_235
| spl0_259 ),
inference(forward_demodulation,[],[f74527,f59613]) ).
thf(f74527,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$true)))))) )
| spl0_259 ),
inference(avatar_component_clause,[],[f74525]) ).
thf(f74525,plain,
( spl0_259
<=> ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$true)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_259])]) ).
thf(f85262,plain,
( spl0_247
| ~ spl0_34
| ~ spl0_75
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121 ),
inference(avatar_split_clause,[],[f85147,f3084,f3022,f2659,f929,f340,f62144]) ).
thf(f85147,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$false)))))) )
| ~ spl0_34
| ~ spl0_75
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121 ),
inference(forward_demodulation,[],[f82466,f85115]) ).
thf(f82466,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$false))))))))))) )
| ~ spl0_34
| ~ spl0_111 ),
inference(forward_demodulation,[],[f342,f2661]) ).
thf(f85197,plain,
( spl0_274
| ~ spl0_143
| spl0_19
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f84490,f3022,f2659,f2635,f132,f4459,f85182]) ).
thf(f84490,plain,
( ( $false != vAPP($o,$o,f3,$true) )
| ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,$false)) )
| spl0_19
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116 ),
inference(superposition,[],[f81182,f4]) ).
thf(f85006,plain,
( spl0_143
| spl0_213
| ~ spl0_218 ),
inference(avatar_contradiction_clause,[],[f85005]) ).
thf(f85005,plain,
( $false
| spl0_143
| spl0_213
| ~ spl0_218 ),
inference(subsumption_resolution,[],[f84984,f51428]) ).
thf(f84984,plain,
( ( $false = vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$false))) )
| spl0_143
| ~ spl0_218 ),
inference(trivial_inequality_removal,[],[f84945]) ).
thf(f84945,plain,
( ( $false != $false )
| ( $false = vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$false))) )
| spl0_143
| ~ spl0_218 ),
inference(superposition,[],[f84472,f51718]) ).
thf(f51718,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$false)))) )
| ~ spl0_218 ),
inference(avatar_component_clause,[],[f51716]) ).
thf(f84472,plain,
( ! [X0: $o] :
( ( $false != vAPP($o,$o,f3,X0) )
| ( $false = X0 ) )
| spl0_143 ),
inference(superposition,[],[f4460,f4]) ).
thf(f4460,plain,
( ( $false != vAPP($o,$o,f3,$true) )
| spl0_143 ),
inference(avatar_component_clause,[],[f4459]) ).
thf(f84999,plain,
( spl0_143
| ~ spl0_218
| ~ spl0_235
| spl0_252 ),
inference(avatar_contradiction_clause,[],[f84998]) ).
thf(f84998,plain,
( $false
| spl0_143
| ~ spl0_218
| ~ spl0_235
| spl0_252 ),
inference(subsumption_resolution,[],[f84997,f4460]) ).
thf(f84997,plain,
( ( $false = vAPP($o,$o,f3,$true) )
| ~ spl0_218
| ~ spl0_235
| spl0_252 ),
inference(forward_demodulation,[],[f84996,f59613]) ).
thf(f84996,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,$true)) )
| ~ spl0_218
| spl0_252 ),
inference(subsumption_resolution,[],[f84939,f63780]) ).
thf(f84939,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,$true)) )
| ( $false = vAPP($o,$o,f4,vAPP($o,$o,f4,$false)) )
| ~ spl0_218 ),
inference(superposition,[],[f51718,f4]) ).
thf(f84992,plain,
( spl0_143
| spl0_211
| ~ spl0_218
| ~ spl0_235 ),
inference(avatar_contradiction_clause,[],[f84991]) ).
thf(f84991,plain,
( $false
| spl0_143
| spl0_211
| ~ spl0_218
| ~ spl0_235 ),
inference(subsumption_resolution,[],[f84990,f4460]) ).
thf(f84990,plain,
( ( $false = vAPP($o,$o,f3,$true) )
| spl0_211
| ~ spl0_218
| ~ spl0_235 ),
inference(forward_demodulation,[],[f84989,f59613]) ).
thf(f84989,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,$true)) )
| spl0_211
| ~ spl0_218
| ~ spl0_235 ),
inference(forward_demodulation,[],[f84988,f59613]) ).
thf(f84988,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$true))) )
| spl0_211
| ~ spl0_218 ),
inference(subsumption_resolution,[],[f84937,f47487]) ).
thf(f84937,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$true))) )
| ( $false = vAPP($o,$o,f4,$false) )
| ~ spl0_218 ),
inference(superposition,[],[f51718,f4]) ).
thf(f84895,plain,
( spl0_253
| ~ spl0_235 ),
inference(avatar_split_clause,[],[f84894,f59612,f68239]) ).
thf(f84894,plain,
( ! [X0: $o] :
( ( $true = vAPP($o,$o,f4,X0) )
| ( $false = X0 ) )
| ~ spl0_235 ),
inference(duplicate_literal_removal,[],[f84892]) ).
thf(f84892,plain,
( ! [X0: $o] :
( ( $true = vAPP($o,$o,f4,X0) )
| ( $false = X0 )
| ( $false = X0 ) )
| ~ spl0_235 ),
inference(binary_proxy_clausification,[],[f84884]) ).
thf(f84884,plain,
( ! [X0: $o] :
( ( vAPP($o,$o,f4,X0) = X0 )
| ( $false = X0 ) )
| ~ spl0_235 ),
inference(superposition,[],[f59613,f4]) ).
thf(f84705,plain,
( ~ spl0_180
| spl0_233
| ~ spl0_235 ),
inference(avatar_contradiction_clause,[],[f84704]) ).
thf(f84704,plain,
( $false
| ~ spl0_180
| spl0_233
| ~ spl0_235 ),
inference(subsumption_resolution,[],[f84703,f31777]) ).
thf(f84703,plain,
( ( $true != vAPP($o,$o,f3,$true) )
| ~ spl0_180
| spl0_233
| ~ spl0_235 ),
inference(forward_demodulation,[],[f84686,f31777]) ).
thf(f84686,plain,
( ( $true != vAPP($o,$o,f3,vAPP($o,$o,f3,$true)) )
| spl0_233
| ~ spl0_235 ),
inference(backward_demodulation,[],[f59600,f59613]) ).
thf(f59600,plain,
( ( $true != vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))) )
| spl0_233 ),
inference(avatar_component_clause,[],[f59598]) ).
thf(f84680,plain,
( spl0_172
| spl0_235 ),
inference(avatar_contradiction_clause,[],[f84679]) ).
thf(f84679,plain,
( $false
| spl0_172
| spl0_235 ),
inference(subsumption_resolution,[],[f84673,f14058]) ).
thf(f14058,plain,
( ( $false != vAPP($o,$o,f4,$true) )
| spl0_172 ),
inference(avatar_component_clause,[],[f14057]) ).
thf(f14057,plain,
( spl0_172
<=> ( $false = vAPP($o,$o,f4,$true) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).
thf(f84673,plain,
( ( $false = vAPP($o,$o,f4,$true) )
| spl0_235 ),
inference(trivial_inequality_removal,[],[f84672]) ).
thf(f84672,plain,
( ( $true != $true )
| ( $false = vAPP($o,$o,f4,$true) )
| spl0_235 ),
inference(superposition,[],[f59614,f4]) ).
thf(f59614,plain,
( ( $true != vAPP($o,$o,f4,$true) )
| spl0_235 ),
inference(avatar_component_clause,[],[f59612]) ).
thf(f84358,plain,
( ~ spl0_30
| ~ spl0_62
| spl0_80
| ~ spl0_150 ),
inference(avatar_split_clause,[],[f84357,f5113,f964,f739,f181]) ).
thf(f84357,plain,
( ( $true != vAPP($o,$o,f0,$true) )
| ~ spl0_62
| spl0_80
| ~ spl0_150 ),
inference(forward_demodulation,[],[f84356,f741]) ).
thf(f84356,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| spl0_80
| ~ spl0_150 ),
inference(forward_demodulation,[],[f965,f5115]) ).
thf(f965,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| spl0_80 ),
inference(avatar_component_clause,[],[f964]) ).
thf(f84336,plain,
( spl0_56
| ~ spl0_95
| ~ spl0_150 ),
inference(avatar_split_clause,[],[f84335,f5113,f1748,f484]) ).
thf(f84335,plain,
( ( $false = vAPP($o,$o,f0,$true) )
| ~ spl0_95
| ~ spl0_150 ),
inference(forward_demodulation,[],[f1750,f5115]) ).
thf(f84334,plain,
( spl0_56
| ~ spl0_97
| ~ spl0_150 ),
inference(avatar_split_clause,[],[f84333,f5113,f2067,f484]) ).
thf(f84333,plain,
( ( $false = vAPP($o,$o,f0,$true) )
| ~ spl0_97
| ~ spl0_150 ),
inference(forward_demodulation,[],[f84332,f5115]) ).
thf(f84332,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ~ spl0_97
| ~ spl0_150 ),
inference(forward_demodulation,[],[f2069,f5115]) ).
thf(f84293,plain,
( ~ spl0_99
| ~ spl0_102
| spl0_191 ),
inference(avatar_split_clause,[],[f84292,f33067,f2235,f2163]) ).
thf(f84292,plain,
( ( $true != vAPP($o,$o,f1,$false) )
| ~ spl0_102
| spl0_191 ),
inference(forward_demodulation,[],[f33068,f2237]) ).
thf(f33068,plain,
( ( $true != vAPP($o,$o,f1,vAPP($o,$o,f2,$true)) )
| spl0_191 ),
inference(avatar_component_clause,[],[f33067]) ).
thf(f84218,plain,
( ~ spl0_173
| spl0_240
| ~ spl0_241 ),
inference(avatar_split_clause,[],[f84217,f60546,f60539,f19783]) ).
thf(f60539,plain,
( spl0_240
<=> ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_240])]) ).
thf(f84217,plain,
( ( $false != vAPP($o,$o,f2,$false) )
| spl0_240
| ~ spl0_241 ),
inference(forward_demodulation,[],[f60541,f60547]) ).
thf(f60541,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true)))) )
| spl0_240 ),
inference(avatar_component_clause,[],[f60539]) ).
thf(f84203,plain,
( spl0_173
| ~ spl0_254
| ~ spl0_259 ),
inference(avatar_split_clause,[],[f84202,f74525,f73779,f19783]) ).
thf(f73779,plain,
( spl0_254
<=> ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$true))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_254])]) ).
thf(f84202,plain,
( ( $false = vAPP($o,$o,f2,$false) )
| ~ spl0_254
| ~ spl0_259 ),
inference(forward_demodulation,[],[f74526,f73780]) ).
thf(f73780,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$true))))) )
| ~ spl0_254 ),
inference(avatar_component_clause,[],[f73779]) ).
thf(f74526,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$true)))))) )
| ~ spl0_259 ),
inference(avatar_component_clause,[],[f74525]) ).
thf(f84201,plain,
( spl0_56
| ~ spl0_267
| ~ spl0_270 ),
inference(avatar_split_clause,[],[f84200,f76232,f76173,f484]) ).
thf(f84200,plain,
( ( $false = vAPP($o,$o,f0,$true) )
| ~ spl0_267
| ~ spl0_270 ),
inference(forward_demodulation,[],[f76175,f76234]) ).
thf(f76234,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ~ spl0_270 ),
inference(avatar_component_clause,[],[f76232]) ).
thf(f76175,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$false))) )
| ~ spl0_267 ),
inference(avatar_component_clause,[],[f76173]) ).
thf(f84169,plain,
( ~ spl0_173
| spl0_79
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121
| ~ spl0_139
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f84161,f51716,f4316,f3084,f3022,f2659,f960,f19783]) ).
thf(f960,plain,
( spl0_79
<=> ( vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x))))))))))) = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
thf(f84161,plain,
( ( $false != vAPP($o,$o,f2,$false) )
| spl0_79
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121
| ~ spl0_139
| ~ spl0_218 ),
inference(backward_demodulation,[],[f84041,f4317]) ).
thf(f4317,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,$false)) )
| ~ spl0_139 ),
inference(avatar_component_clause,[],[f4316]) ).
thf(f84041,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$false))) )
| spl0_79
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121
| ~ spl0_218 ),
inference(backward_demodulation,[],[f82747,f51718]) ).
thf(f82747,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$false))))))) )
| spl0_79
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121 ),
inference(forward_demodulation,[],[f82746,f2661]) ).
thf(f82746,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,$true)))))))) )
| spl0_79
| ~ spl0_116
| ~ spl0_121 ),
inference(forward_demodulation,[],[f82745,f3086]) ).
thf(f82745,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,$true))))))))) )
| spl0_79
| ~ spl0_116
| ~ spl0_121 ),
inference(forward_demodulation,[],[f82744,f3086]) ).
thf(f82744,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$true)))))))))) )
| spl0_79
| ~ spl0_116 ),
inference(forward_demodulation,[],[f961,f3024]) ).
thf(f961,plain,
( ( vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x))))))))))) != $false )
| spl0_79 ),
inference(avatar_component_clause,[],[f960]) ).
thf(f84154,plain,
( spl0_231
| ~ spl0_34
| ~ spl0_111
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f84037,f51716,f2659,f340,f58906]) ).
thf(f58906,plain,
( spl0_231
<=> ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$false))))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_231])]) ).
thf(f84037,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$false))))))) )
| ~ spl0_34
| ~ spl0_111
| ~ spl0_218 ),
inference(backward_demodulation,[],[f82466,f51718]) ).
thf(f84152,plain,
( spl0_103
| ~ spl0_242
| ~ spl0_268 ),
inference(avatar_split_clause,[],[f84011,f76187,f60635,f2413]) ).
thf(f60635,plain,
( spl0_242
<=> ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_242])]) ).
thf(f84011,plain,
( ( $false = vAPP($o,$o,f1,$false) )
| ~ spl0_242
| ~ spl0_268 ),
inference(forward_demodulation,[],[f76189,f60637]) ).
thf(f60637,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))))) )
| ~ spl0_242 ),
inference(avatar_component_clause,[],[f60635]) ).
thf(f84145,plain,
( ~ spl0_239
| spl0_41
| ~ spl0_242 ),
inference(avatar_split_clause,[],[f84018,f60635,f388,f60534]) ).
thf(f84018,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$false)))) )
| spl0_41
| ~ spl0_242 ),
inference(forward_demodulation,[],[f389,f60637]) ).
thf(f84063,plain,
( ~ spl0_30
| ~ spl0_34
| spl0_56
| ~ spl0_99
| ~ spl0_111
| ~ spl0_173
| ~ spl0_218 ),
inference(avatar_contradiction_clause,[],[f84062]) ).
thf(f84062,plain,
( $false
| ~ spl0_30
| ~ spl0_34
| spl0_56
| ~ spl0_99
| ~ spl0_111
| ~ spl0_173
| ~ spl0_218 ),
inference(subsumption_resolution,[],[f84061,f485]) ).
thf(f84061,plain,
( ( $false = vAPP($o,$o,f0,$true) )
| ~ spl0_30
| ~ spl0_34
| ~ spl0_99
| ~ spl0_111
| ~ spl0_173
| ~ spl0_218 ),
inference(forward_demodulation,[],[f84060,f183]) ).
thf(f84060,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ~ spl0_30
| ~ spl0_34
| ~ spl0_99
| ~ spl0_111
| ~ spl0_173
| ~ spl0_218 ),
inference(forward_demodulation,[],[f84059,f183]) ).
thf(f84059,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ~ spl0_34
| ~ spl0_99
| ~ spl0_111
| ~ spl0_173
| ~ spl0_218 ),
inference(forward_demodulation,[],[f84058,f2165]) ).
thf(f84058,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$false)))) )
| ~ spl0_34
| ~ spl0_111
| ~ spl0_173
| ~ spl0_218 ),
inference(forward_demodulation,[],[f84057,f19785]) ).
thf(f84057,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$false))))) )
| ~ spl0_34
| ~ spl0_111
| ~ spl0_173
| ~ spl0_218 ),
inference(forward_demodulation,[],[f84056,f19785]) ).
thf(f84056,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$false)))))) )
| ~ spl0_34
| ~ spl0_111
| ~ spl0_173
| ~ spl0_218 ),
inference(forward_demodulation,[],[f84037,f19785]) ).
thf(f84027,plain,
( spl0_143
| ~ spl0_232
| ~ spl0_233 ),
inference(avatar_split_clause,[],[f84026,f59598,f59593,f4459]) ).
thf(f59593,plain,
( spl0_232
<=> ( $false = vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$true)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_232])]) ).
thf(f84026,plain,
( ( $false = vAPP($o,$o,f3,$true) )
| ~ spl0_232
| ~ spl0_233 ),
inference(forward_demodulation,[],[f59595,f59599]) ).
thf(f59595,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$true)))) )
| ~ spl0_232 ),
inference(avatar_component_clause,[],[f59593]) ).
thf(f83903,plain,
( spl0_143
| ~ spl0_17
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116
| spl0_211 ),
inference(avatar_split_clause,[],[f83902,f47486,f3022,f2659,f2635,f123,f4459]) ).
thf(f83902,plain,
( ( $false = vAPP($o,$o,f3,$true) )
| ~ spl0_17
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116
| spl0_211 ),
inference(subsumption_resolution,[],[f83022,f47487]) ).
thf(f83022,plain,
( ( $false = vAPP($o,$o,f3,$true) )
| ( $false = vAPP($o,$o,f4,$false) )
| ~ spl0_17
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116 ),
inference(superposition,[],[f82912,f4]) ).
thf(f82912,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,$false)) )
| ~ spl0_17
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116 ),
inference(backward_demodulation,[],[f82887,f2637]) ).
thf(f82887,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false)))) )
| ~ spl0_17
| ~ spl0_111
| ~ spl0_116 ),
inference(forward_demodulation,[],[f82886,f2661]) ).
thf(f82886,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true))))) )
| ~ spl0_17
| ~ spl0_116 ),
inference(forward_demodulation,[],[f125,f3024]) ).
thf(f83806,plain,
( spl0_173
| ~ spl0_102
| ~ spl0_222
| ~ spl0_242
| ~ spl0_243 ),
inference(avatar_split_clause,[],[f83805,f60640,f60635,f51737,f2235,f19783]) ).
thf(f60640,plain,
( spl0_243
<=> ( $true = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_243])]) ).
thf(f83805,plain,
( ( $false = vAPP($o,$o,f2,$false) )
| ~ spl0_102
| ~ spl0_222
| ~ spl0_242
| ~ spl0_243 ),
inference(forward_demodulation,[],[f83804,f2237]) ).
thf(f83804,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,$true)) )
| ~ spl0_222
| ~ spl0_242
| ~ spl0_243 ),
inference(forward_demodulation,[],[f83803,f82077]) ).
thf(f82077,plain,
( ( $true = vAPP($o,$o,f2,$false) )
| ~ spl0_222
| ~ spl0_243 ),
inference(forward_demodulation,[],[f60641,f51739]) ).
thf(f60641,plain,
( ( $true = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))) )
| ~ spl0_243 ),
inference(avatar_component_clause,[],[f60640]) ).
thf(f83803,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$false))) )
| ~ spl0_222
| ~ spl0_242 ),
inference(forward_demodulation,[],[f60637,f51739]) ).
thf(f83798,plain,
( spl0_218
| ~ spl0_73
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121 ),
inference(avatar_split_clause,[],[f83606,f3084,f3022,f2659,f912,f51716]) ).
thf(f83606,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$false)))) )
| ~ spl0_73
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121 ),
inference(forward_demodulation,[],[f83605,f2661]) ).
thf(f83605,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,$true))))) )
| ~ spl0_73
| ~ spl0_116
| ~ spl0_121 ),
inference(forward_demodulation,[],[f83604,f3086]) ).
thf(f83604,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,$true)))))) )
| ~ spl0_73
| ~ spl0_116
| ~ spl0_121 ),
inference(forward_demodulation,[],[f83603,f3086]) ).
thf(f83603,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$true))))))) )
| ~ spl0_73
| ~ spl0_116 ),
inference(forward_demodulation,[],[f914,f3024]) ).
thf(f914,plain,
( ( vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x)))))))) = $false )
| ~ spl0_73 ),
inference(avatar_component_clause,[],[f912]) ).
thf(f83727,plain,
( ~ spl0_247
| spl0_45
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f82447,f2235,f419,f62144]) ).
thf(f419,plain,
( spl0_45
<=> ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
thf(f82447,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$false)))))) )
| spl0_45
| ~ spl0_102 ),
inference(forward_demodulation,[],[f420,f2237]) ).
thf(f420,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))))))) )
| spl0_45 ),
inference(avatar_component_clause,[],[f419]) ).
thf(f83712,plain,
( ~ spl0_17
| ~ spl0_25
| ~ spl0_111
| ~ spl0_116
| ~ spl0_138
| ~ spl0_143
| spl0_174 ),
inference(avatar_contradiction_clause,[],[f83711]) ).
thf(f83711,plain,
( $false
| ~ spl0_17
| ~ spl0_25
| ~ spl0_111
| ~ spl0_116
| ~ spl0_138
| ~ spl0_143
| spl0_174 ),
inference(subsumption_resolution,[],[f82903,f22939]) ).
thf(f82903,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,$false)) )
| ~ spl0_17
| ~ spl0_25
| ~ spl0_111
| ~ spl0_116
| ~ spl0_138
| ~ spl0_143 ),
inference(forward_demodulation,[],[f82902,f4461]) ).
thf(f82902,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$true))) )
| ~ spl0_17
| ~ spl0_25
| ~ spl0_111
| ~ spl0_116
| ~ spl0_138 ),
inference(forward_demodulation,[],[f82901,f4314]) ).
thf(f82901,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$false)))) )
| ~ spl0_17
| ~ spl0_25
| ~ spl0_111
| ~ spl0_116 ),
inference(forward_demodulation,[],[f82869,f82887]) ).
thf(f82869,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false)))))))) )
| ~ spl0_25
| ~ spl0_111
| ~ spl0_116 ),
inference(forward_demodulation,[],[f82868,f2661]) ).
thf(f82868,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true))))))))) )
| ~ spl0_25
| ~ spl0_116 ),
inference(forward_demodulation,[],[f161,f3024]) ).
thf(f161,plain,
( ( vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,x)))))))))) = $false )
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f159]) ).
thf(f83692,plain,
( spl0_139
| ~ spl0_17
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116
| ~ spl0_215 ),
inference(avatar_split_clause,[],[f83017,f51702,f3022,f2659,f2635,f123,f4316]) ).
thf(f83017,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,$false)) )
| ~ spl0_17
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116
| ~ spl0_215 ),
inference(forward_demodulation,[],[f51704,f82912]) ).
thf(f83657,plain,
( ~ spl0_173
| ~ spl0_222
| spl0_241 ),
inference(avatar_split_clause,[],[f82073,f60546,f51737,f19783]) ).
thf(f82073,plain,
( ( $false != vAPP($o,$o,f2,$false) )
| ~ spl0_222
| spl0_241 ),
inference(forward_demodulation,[],[f60548,f51739]) ).
thf(f83656,plain,
( ~ spl0_173
| ~ spl0_17
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116
| spl0_216 ),
inference(avatar_split_clause,[],[f82993,f51707,f3022,f2659,f2635,f123,f19783]) ).
thf(f82993,plain,
( ( $false != vAPP($o,$o,f2,$false) )
| ~ spl0_17
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116
| spl0_216 ),
inference(forward_demodulation,[],[f51708,f82912]) ).
thf(f83555,plain,
( ~ spl0_104
| ~ spl0_99
| spl0_166 ),
inference(avatar_split_clause,[],[f83554,f7911,f2163,f2417]) ).
thf(f83554,plain,
( ( $false != vAPP($o,$o,f1,$true) )
| ~ spl0_99
| spl0_166 ),
inference(forward_demodulation,[],[f7912,f2165]) ).
thf(f7912,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,$false)) )
| spl0_166 ),
inference(avatar_component_clause,[],[f7911]) ).
thf(f83504,plain,
( ~ spl0_28
| ~ spl0_30
| ~ spl0_34
| spl0_56
| ~ spl0_102
| ~ spl0_111
| ~ spl0_182
| ~ spl0_218 ),
inference(avatar_contradiction_clause,[],[f83503]) ).
thf(f83503,plain,
( $false
| ~ spl0_28
| ~ spl0_30
| ~ spl0_34
| spl0_56
| ~ spl0_102
| ~ spl0_111
| ~ spl0_182
| ~ spl0_218 ),
inference(subsumption_resolution,[],[f83502,f485]) ).
thf(f83502,plain,
( ( $false = vAPP($o,$o,f0,$true) )
| ~ spl0_28
| ~ spl0_30
| ~ spl0_34
| ~ spl0_102
| ~ spl0_111
| ~ spl0_182
| ~ spl0_218 ),
inference(forward_demodulation,[],[f83501,f183]) ).
thf(f83501,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ~ spl0_28
| ~ spl0_34
| ~ spl0_102
| ~ spl0_111
| ~ spl0_182
| ~ spl0_218 ),
inference(forward_demodulation,[],[f83500,f174]) ).
thf(f83500,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ~ spl0_34
| ~ spl0_102
| ~ spl0_111
| ~ spl0_182
| ~ spl0_218 ),
inference(forward_demodulation,[],[f83499,f81706]) ).
thf(f81706,plain,
( ( $true = vAPP($o,$o,f2,$false) )
| ~ spl0_102
| ~ spl0_182 ),
inference(forward_demodulation,[],[f31785,f2237]) ).
thf(f83499,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$false))))) )
| ~ spl0_34
| ~ spl0_102
| ~ spl0_111
| ~ spl0_182
| ~ spl0_218 ),
inference(forward_demodulation,[],[f83498,f2237]) ).
thf(f83498,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true)))))) )
| ~ spl0_34
| ~ spl0_102
| ~ spl0_111
| ~ spl0_182
| ~ spl0_218 ),
inference(forward_demodulation,[],[f83477,f81706]) ).
thf(f83477,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$false))))))) )
| ~ spl0_34
| ~ spl0_111
| ~ spl0_218 ),
inference(backward_demodulation,[],[f82466,f51718]) ).
thf(f83473,plain,
( spl0_218
| spl0_75
| ~ spl0_102
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121 ),
inference(avatar_split_clause,[],[f83396,f3084,f3022,f2659,f2235,f929,f51716]) ).
thf(f83396,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$false)))) )
| spl0_75
| ~ spl0_102
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121 ),
inference(subsumption_resolution,[],[f83384,f2237]) ).
thf(f83384,plain,
( ( $false != vAPP($o,$o,f2,$true) )
| ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$false)))) )
| spl0_75
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121 ),
inference(superposition,[],[f83329,f4]) ).
thf(f83329,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$false))))) )
| spl0_75
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121 ),
inference(forward_demodulation,[],[f83328,f2661]) ).
thf(f83328,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,$true)))))) )
| spl0_75
| ~ spl0_116
| ~ spl0_121 ),
inference(forward_demodulation,[],[f83327,f3086]) ).
thf(f83327,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,$true))))))) )
| spl0_75
| ~ spl0_116
| ~ spl0_121 ),
inference(forward_demodulation,[],[f83326,f3086]) ).
thf(f83326,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$true)))))))) )
| spl0_75
| ~ spl0_116 ),
inference(forward_demodulation,[],[f930,f3024]) ).
thf(f83425,plain,
( spl0_80
| ~ spl0_72
| ~ spl0_102
| ~ spl0_143
| ~ spl0_182 ),
inference(avatar_split_clause,[],[f82372,f31783,f4459,f2235,f898,f964]) ).
thf(f82372,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ~ spl0_72
| ~ spl0_102
| ~ spl0_143
| ~ spl0_182 ),
inference(forward_demodulation,[],[f82371,f81706]) ).
thf(f82371,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$false))))) )
| ~ spl0_72
| ~ spl0_102
| ~ spl0_143
| ~ spl0_182 ),
inference(forward_demodulation,[],[f82370,f2237]) ).
thf(f82370,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true)))))) )
| ~ spl0_72
| ~ spl0_102
| ~ spl0_143
| ~ spl0_182 ),
inference(forward_demodulation,[],[f82369,f81706]) ).
thf(f82369,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$false))))))) )
| ~ spl0_72
| ~ spl0_143 ),
inference(forward_demodulation,[],[f900,f4461]) ).
thf(f900,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$true)))))))) )
| ~ spl0_72 ),
inference(avatar_component_clause,[],[f898]) ).
thf(f83423,plain,
( spl0_26
| ~ spl0_22
| ~ spl0_99
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f82497,f2235,f2163,f145,f163]) ).
thf(f163,plain,
( spl0_26
<=> ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
thf(f82497,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) )
| ~ spl0_22
| ~ spl0_99
| ~ spl0_102 ),
inference(forward_demodulation,[],[f82496,f2165]) ).
thf(f82496,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ~ spl0_22
| ~ spl0_102 ),
inference(forward_demodulation,[],[f147,f2237]) ).
thf(f83399,plain,
( ~ spl0_96
| ~ spl0_113
| spl0_153 ),
inference(avatar_split_clause,[],[f83218,f5389,f2849,f1752]) ).
thf(f1752,plain,
( spl0_96
<=> ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$false)))))))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).
thf(f2849,plain,
( spl0_113
<=> ( $false = vAPP($o,$o,f6,$false) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).
thf(f5389,plain,
( spl0_153
<=> ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,$false))))))))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).
thf(f83218,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$false)))))))))) )
| ~ spl0_113
| spl0_153 ),
inference(backward_demodulation,[],[f5390,f2851]) ).
thf(f2851,plain,
( ( $false = vAPP($o,$o,f6,$false) )
| ~ spl0_113 ),
inference(avatar_component_clause,[],[f2849]) ).
thf(f5390,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,$false))))))))))) )
| spl0_153 ),
inference(avatar_component_clause,[],[f5389]) ).
thf(f82929,plain,
( ~ spl0_17
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116
| spl0_173
| ~ spl0_216 ),
inference(avatar_contradiction_clause,[],[f82928]) ).
thf(f82928,plain,
( $false
| ~ spl0_17
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116
| spl0_173
| ~ spl0_216 ),
inference(subsumption_resolution,[],[f82920,f19784]) ).
thf(f82920,plain,
( ( $false = vAPP($o,$o,f2,$false) )
| ~ spl0_17
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116
| ~ spl0_216 ),
inference(backward_demodulation,[],[f51709,f82912]) ).
thf(f51709,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))) )
| ~ spl0_216 ),
inference(avatar_component_clause,[],[f51707]) ).
thf(f82860,plain,
( spl0_17
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116
| ~ spl0_143
| spl0_211 ),
inference(avatar_contradiction_clause,[],[f82859]) ).
thf(f82859,plain,
( $false
| spl0_17
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116
| ~ spl0_143
| spl0_211 ),
inference(subsumption_resolution,[],[f82858,f47487]) ).
thf(f82858,plain,
( ( $false = vAPP($o,$o,f4,$false) )
| spl0_17
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116
| ~ spl0_143 ),
inference(subsumption_resolution,[],[f82854,f4461]) ).
thf(f82854,plain,
( ( $false != vAPP($o,$o,f3,$true) )
| ( $false = vAPP($o,$o,f4,$false) )
| spl0_17
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116 ),
inference(superposition,[],[f82798,f4]) ).
thf(f82798,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,$false)) )
| spl0_17
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116 ),
inference(backward_demodulation,[],[f82790,f2637]) ).
thf(f82790,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false)))) )
| spl0_17
| ~ spl0_111
| ~ spl0_116 ),
inference(forward_demodulation,[],[f82789,f2661]) ).
thf(f82789,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true))))) )
| spl0_17
| ~ spl0_116 ),
inference(forward_demodulation,[],[f124,f3024]) ).
thf(f82791,plain,
( ~ spl0_134
| spl0_15
| ~ spl0_111
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f82519,f3022,f2659,f114,f3279]) ).
thf(f3279,plain,
( spl0_134
<=> ( $false = vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).
thf(f82519,plain,
( ( $false != vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false))) )
| spl0_15
| ~ spl0_111
| ~ spl0_116 ),
inference(forward_demodulation,[],[f82518,f2661]) ).
thf(f82787,plain,
( ~ spl0_11
| spl0_17
| ~ spl0_89
| ~ spl0_143
| spl0_211 ),
inference(avatar_contradiction_clause,[],[f82786]) ).
thf(f82786,plain,
( $false
| ~ spl0_11
| spl0_17
| ~ spl0_89
| ~ spl0_143
| spl0_211 ),
inference(subsumption_resolution,[],[f82785,f47487]) ).
thf(f82785,plain,
( ( $false = vAPP($o,$o,f4,$false) )
| ~ spl0_11
| spl0_17
| ~ spl0_89
| ~ spl0_143 ),
inference(subsumption_resolution,[],[f82781,f4461]) ).
thf(f82781,plain,
( ( $false != vAPP($o,$o,f3,$true) )
| ( $false = vAPP($o,$o,f4,$false) )
| ~ spl0_11
| spl0_17
| ~ spl0_89 ),
inference(superposition,[],[f81998,f4]) ).
thf(f81998,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,$false)) )
| ~ spl0_11
| spl0_17
| ~ spl0_89 ),
inference(forward_demodulation,[],[f81997,f1412]) ).
thf(f81997,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$false))) )
| ~ spl0_11
| spl0_17 ),
inference(backward_demodulation,[],[f124,f98]) ).
thf(f98,plain,
( ( vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,x))) = $false )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f96]) ).
thf(f96,plain,
( spl0_11
<=> ( vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,x))) = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
thf(f82684,plain,
( ~ spl0_218
| spl0_73
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121 ),
inference(avatar_split_clause,[],[f82366,f3084,f3022,f2659,f912,f51716]) ).
thf(f82366,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$false)))) )
| spl0_73
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121 ),
inference(forward_demodulation,[],[f82365,f2661]) ).
thf(f82365,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,$true))))) )
| spl0_73
| ~ spl0_116
| ~ spl0_121 ),
inference(forward_demodulation,[],[f82364,f3086]) ).
thf(f82364,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,$true)))))) )
| spl0_73
| ~ spl0_116
| ~ spl0_121 ),
inference(forward_demodulation,[],[f82363,f3086]) ).
thf(f82363,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$true))))))) )
| spl0_73
| ~ spl0_116 ),
inference(forward_demodulation,[],[f913,f3024]) ).
thf(f82251,plain,
( ~ spl0_56
| ~ spl0_99
| spl0_154 ),
inference(avatar_split_clause,[],[f82250,f5828,f2163,f484]) ).
thf(f82250,plain,
( ( $false != vAPP($o,$o,f0,$true) )
| ~ spl0_99
| spl0_154 ),
inference(forward_demodulation,[],[f5829,f2165]) ).
thf(f5829,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| spl0_154 ),
inference(avatar_component_clause,[],[f5828]) ).
thf(f82240,plain,
( ~ spl0_56
| ~ spl0_99
| ~ spl0_104
| spl0_156
| ~ spl0_178 ),
inference(avatar_split_clause,[],[f82239,f27616,f6222,f2417,f2163,f484]) ).
thf(f82239,plain,
( ( $false != vAPP($o,$o,f0,$true) )
| ~ spl0_99
| ~ spl0_104
| spl0_156
| ~ spl0_178 ),
inference(forward_demodulation,[],[f82238,f2165]) ).
thf(f82238,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ~ spl0_99
| ~ spl0_104
| spl0_156
| ~ spl0_178 ),
inference(forward_demodulation,[],[f82237,f2419]) ).
thf(f82237,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) )
| ~ spl0_99
| spl0_156
| ~ spl0_178 ),
inference(forward_demodulation,[],[f82236,f2165]) ).
thf(f82236,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| spl0_156
| ~ spl0_178 ),
inference(forward_demodulation,[],[f6223,f27618]) ).
thf(f6223,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$true))))))) )
| spl0_156 ),
inference(avatar_component_clause,[],[f6222]) ).
thf(f82189,plain,
( ~ spl0_157
| ~ spl0_222
| spl0_223 ),
inference(avatar_split_clause,[],[f82188,f55684,f51737,f6226]) ).
thf(f55684,plain,
( spl0_223
<=> ( $false = vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_223])]) ).
thf(f82188,plain,
( ( $false != vAPP($o,$o,f3,$false) )
| ~ spl0_222
| spl0_223 ),
inference(forward_demodulation,[],[f55686,f51739]) ).
thf(f55686,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))) )
| spl0_223 ),
inference(avatar_component_clause,[],[f55684]) ).
thf(f82179,plain,
( spl0_30
| ~ spl0_99
| ~ spl0_270 ),
inference(avatar_split_clause,[],[f82178,f76232,f2163,f181]) ).
thf(f82178,plain,
( ( $true = vAPP($o,$o,f0,$true) )
| ~ spl0_99
| ~ spl0_270 ),
inference(forward_demodulation,[],[f76234,f2165]) ).
thf(f82174,plain,
( ~ spl0_56
| ~ spl0_62
| ~ spl0_99
| spl0_239 ),
inference(avatar_split_clause,[],[f82173,f60534,f2163,f739,f484]) ).
thf(f82173,plain,
( ( $false != vAPP($o,$o,f0,$true) )
| ~ spl0_62
| ~ spl0_99
| spl0_239 ),
inference(forward_demodulation,[],[f82172,f741]) ).
thf(f82172,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ~ spl0_99
| spl0_239 ),
inference(forward_demodulation,[],[f60536,f2165]) ).
thf(f60536,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$false)))) )
| spl0_239 ),
inference(avatar_component_clause,[],[f60534]) ).
thf(f82142,plain,
( spl0_172
| ~ spl0_43
| spl0_41 ),
inference(avatar_split_clause,[],[f66980,f388,f404,f14057]) ).
thf(f66980,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$true)))))))) )
| ( $false = vAPP($o,$o,f4,$true) )
| spl0_41 ),
inference(superposition,[],[f389,f4]) ).
thf(f82059,plain,
( ~ spl0_252
| spl0_69
| ~ spl0_114
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f82057,f3022,f2853,f875,f63779]) ).
thf(f875,plain,
( spl0_69
<=> ( vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x)))))) = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
thf(f2853,plain,
( spl0_114
<=> ( $false = vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$true))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).
thf(f82057,plain,
( ( $false != vAPP($o,$o,f4,vAPP($o,$o,f4,$false)) )
| spl0_69
| ~ spl0_114
| ~ spl0_116 ),
inference(backward_demodulation,[],[f82003,f2854]) ).
thf(f2854,plain,
( ( $false = vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$true))) )
| ~ spl0_114 ),
inference(avatar_component_clause,[],[f2853]) ).
thf(f82003,plain,
( ( $false != vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$true))))) )
| spl0_69
| ~ spl0_116 ),
inference(backward_demodulation,[],[f876,f3024]) ).
thf(f876,plain,
( ( vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x)))))) != $false )
| spl0_69 ),
inference(avatar_component_clause,[],[f875]) ).
thf(f82055,plain,
( spl0_114
| ~ spl0_65
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f80857,f3022,f834,f2853]) ).
thf(f834,plain,
( spl0_65
<=> ( vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x)))) = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
thf(f80857,plain,
( ( $false = vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$true))) )
| ~ spl0_65
| ~ spl0_116 ),
inference(forward_demodulation,[],[f836,f3024]) ).
thf(f836,plain,
( ( vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x)))) = $false )
| ~ spl0_65 ),
inference(avatar_component_clause,[],[f834]) ).
thf(f82052,plain,
( spl0_114
| ~ spl0_35
| ~ spl0_105 ),
inference(avatar_split_clause,[],[f80960,f2566,f345,f2853]) ).
thf(f345,plain,
( spl0_35
<=> ( $false = vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,$false)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
thf(f2566,plain,
( spl0_105
<=> ( $true = vAPP($o,$o,f6,$false) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).
thf(f80960,plain,
( ( $false = vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$true))) )
| ~ spl0_35
| ~ spl0_105 ),
inference(forward_demodulation,[],[f347,f2568]) ).
thf(f2568,plain,
( ( $true = vAPP($o,$o,f6,$false) )
| ~ spl0_105 ),
inference(avatar_component_clause,[],[f2566]) ).
thf(f347,plain,
( ( $false = vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,$false)))) )
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f345]) ).
thf(f81961,plain,
( ~ spl0_5
| spl0_17
| ~ spl0_89
| ~ spl0_105
| ~ spl0_111
| ~ spl0_157
| ~ spl0_211 ),
inference(avatar_contradiction_clause,[],[f81960]) ).
thf(f81960,plain,
( $false
| ~ spl0_5
| spl0_17
| ~ spl0_89
| ~ spl0_105
| ~ spl0_111
| ~ spl0_157
| ~ spl0_211 ),
inference(subsumption_resolution,[],[f81959,f6228]) ).
thf(f81959,plain,
( ( $false != vAPP($o,$o,f3,$false) )
| ~ spl0_5
| spl0_17
| ~ spl0_89
| ~ spl0_105
| ~ spl0_111
| ~ spl0_211 ),
inference(forward_demodulation,[],[f81958,f47488]) ).
thf(f47488,plain,
( ( $false = vAPP($o,$o,f4,$false) )
| ~ spl0_211 ),
inference(avatar_component_clause,[],[f47486]) ).
thf(f81958,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,$false)) )
| ~ spl0_5
| spl0_17
| ~ spl0_89
| ~ spl0_105
| ~ spl0_111 ),
inference(forward_demodulation,[],[f81957,f1412]) ).
thf(f81957,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$false))) )
| ~ spl0_5
| spl0_17
| ~ spl0_89
| ~ spl0_105
| ~ spl0_111 ),
inference(forward_demodulation,[],[f81956,f1412]) ).
thf(f81956,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false)))) )
| ~ spl0_5
| spl0_17
| ~ spl0_105
| ~ spl0_111 ),
inference(forward_demodulation,[],[f81955,f2661]) ).
thf(f81955,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true))))) )
| ~ spl0_5
| spl0_17
| ~ spl0_105 ),
inference(forward_demodulation,[],[f81954,f2568]) ).
thf(f81954,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,$false)))))) )
| ~ spl0_5
| spl0_17 ),
inference(forward_demodulation,[],[f124,f71]) ).
thf(f71,plain,
( ( x = $false )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f69]) ).
thf(f69,plain,
( spl0_5
<=> ( x = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
thf(f81868,plain,
( ~ spl0_5
| spl0_69
| ~ spl0_105
| ~ spl0_111
| ~ spl0_168
| ~ spl0_211 ),
inference(avatar_contradiction_clause,[],[f81867]) ).
thf(f81867,plain,
( $false
| ~ spl0_5
| spl0_69
| ~ spl0_105
| ~ spl0_111
| ~ spl0_168
| ~ spl0_211 ),
inference(subsumption_resolution,[],[f81866,f47488]) ).
thf(f81866,plain,
( ( $false != vAPP($o,$o,f4,$false) )
| ~ spl0_5
| spl0_69
| ~ spl0_105
| ~ spl0_111
| ~ spl0_168
| ~ spl0_211 ),
inference(forward_demodulation,[],[f81865,f47488]) ).
thf(f81865,plain,
( ( $false != vAPP($o,$o,f4,vAPP($o,$o,f4,$false)) )
| ~ spl0_5
| spl0_69
| ~ spl0_105
| ~ spl0_111
| ~ spl0_168 ),
inference(forward_demodulation,[],[f81864,f2661]) ).
thf(f81864,plain,
( ( $false != vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,$true))) )
| ~ spl0_5
| spl0_69
| ~ spl0_105
| ~ spl0_168 ),
inference(forward_demodulation,[],[f81863,f2568]) ).
thf(f81863,plain,
( ( $false != vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,$false)))) )
| ~ spl0_5
| spl0_69
| ~ spl0_105
| ~ spl0_168 ),
inference(forward_demodulation,[],[f81862,f9125]) ).
thf(f9125,plain,
( ( $false = vAPP($o,$o,f6,$true) )
| ~ spl0_168 ),
inference(avatar_component_clause,[],[f9124]) ).
thf(f9124,plain,
( spl0_168
<=> ( $false = vAPP($o,$o,f6,$true) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).
thf(f81862,plain,
( ( $false != vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$true))))) )
| ~ spl0_5
| spl0_69
| ~ spl0_105 ),
inference(forward_demodulation,[],[f81861,f2568]) ).
thf(f81861,plain,
( ( $false != vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,$false)))))) )
| ~ spl0_5
| spl0_69 ),
inference(forward_demodulation,[],[f876,f71]) ).
thf(f81743,plain,
( spl0_93
| ~ spl0_154
| ~ spl0_267 ),
inference(avatar_contradiction_clause,[],[f81742]) ).
thf(f81742,plain,
( $false
| spl0_93
| ~ spl0_154
| ~ spl0_267 ),
inference(subsumption_resolution,[],[f81741,f1669]) ).
thf(f1669,plain,
( ( $false != vAPP($o,$o,f0,$false) )
| spl0_93 ),
inference(avatar_component_clause,[],[f1668]) ).
thf(f81741,plain,
( ( $false = vAPP($o,$o,f0,$false) )
| ~ spl0_154
| ~ spl0_267 ),
inference(backward_demodulation,[],[f76175,f5830]) ).
thf(f81739,plain,
( spl0_154
| ~ spl0_102
| ~ spl0_156
| ~ spl0_166
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f81738,f31775,f7911,f6222,f2235,f5828]) ).
thf(f81738,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ~ spl0_102
| ~ spl0_156
| ~ spl0_166
| ~ spl0_180 ),
inference(forward_demodulation,[],[f81737,f7913]) ).
thf(f81737,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ~ spl0_102
| ~ spl0_156
| ~ spl0_180 ),
inference(forward_demodulation,[],[f81736,f2237]) ).
thf(f81736,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))))) )
| ~ spl0_156
| ~ spl0_180 ),
inference(forward_demodulation,[],[f81735,f31777]) ).
thf(f81735,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$true)))))) )
| ~ spl0_156
| ~ spl0_180 ),
inference(forward_demodulation,[],[f6224,f31777]) ).
thf(f81729,plain,
( spl0_154
| ~ spl0_102
| ~ spl0_158
| ~ spl0_166 ),
inference(avatar_split_clause,[],[f81728,f7911,f6236,f2235,f5828]) ).
thf(f81728,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ~ spl0_102
| ~ spl0_158
| ~ spl0_166 ),
inference(forward_demodulation,[],[f81727,f7913]) ).
thf(f81727,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ~ spl0_102
| ~ spl0_158 ),
inference(forward_demodulation,[],[f6238,f2237]) ).
thf(f6238,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))))) )
| ~ spl0_158 ),
inference(avatar_component_clause,[],[f6236]) ).
thf(f81719,plain,
( ~ spl0_103
| ~ spl0_102
| ~ spl0_166
| spl0_167
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f81718,f31775,f8068,f7911,f2235,f2413]) ).
thf(f81718,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ~ spl0_102
| ~ spl0_166
| spl0_167
| ~ spl0_180 ),
inference(forward_demodulation,[],[f81717,f7913]) ).
thf(f81717,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ~ spl0_102
| spl0_167
| ~ spl0_180 ),
inference(forward_demodulation,[],[f81716,f2237]) ).
thf(f81716,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$true)))) )
| spl0_167
| ~ spl0_180 ),
inference(forward_demodulation,[],[f81715,f31777]) ).
thf(f81715,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$true))))) )
| spl0_167
| ~ spl0_180 ),
inference(forward_demodulation,[],[f8069,f31777]) ).
thf(f81714,plain,
( ~ spl0_103
| ~ spl0_102
| spl0_176
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f81713,f31775,f25636,f2235,f2413]) ).
thf(f25636,plain,
( spl0_176
<=> ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$true))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).
thf(f81713,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ~ spl0_102
| spl0_176
| ~ spl0_180 ),
inference(forward_demodulation,[],[f81712,f2237]) ).
thf(f81712,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,$true)) )
| spl0_176
| ~ spl0_180 ),
inference(forward_demodulation,[],[f25637,f31777]) ).
thf(f25637,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$true))) )
| spl0_176 ),
inference(avatar_component_clause,[],[f25636]) ).
thf(f81711,plain,
( ~ spl0_103
| ~ spl0_102
| spl0_179 ),
inference(avatar_split_clause,[],[f81710,f30575,f2235,f2413]) ).
thf(f81710,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ~ spl0_102
| spl0_179 ),
inference(forward_demodulation,[],[f30577,f2237]) ).
thf(f30577,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,$true)) )
| spl0_179 ),
inference(avatar_component_clause,[],[f30575]) ).
thf(f81691,plain,
( ~ spl0_102
| spl0_192
| ~ spl0_267 ),
inference(avatar_contradiction_clause,[],[f81690]) ).
thf(f81690,plain,
( $false
| ~ spl0_102
| spl0_192
| ~ spl0_267 ),
inference(subsumption_resolution,[],[f81689,f76175]) ).
thf(f81689,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$false))) )
| ~ spl0_102
| spl0_192 ),
inference(forward_demodulation,[],[f33076,f2237]) ).
thf(f33076,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$true)))) )
| spl0_192 ),
inference(avatar_component_clause,[],[f33075]) ).
thf(f81688,plain,
( ~ spl0_103
| ~ spl0_102
| ~ spl0_166
| spl0_193 ),
inference(avatar_split_clause,[],[f81687,f33084,f7911,f2235,f2413]) ).
thf(f81687,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ~ spl0_102
| ~ spl0_166
| spl0_193 ),
inference(forward_demodulation,[],[f81686,f7913]) ).
thf(f81686,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ~ spl0_102
| spl0_193 ),
inference(forward_demodulation,[],[f33085,f2237]) ).
thf(f33085,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$true)))) )
| spl0_193 ),
inference(avatar_component_clause,[],[f33084]) ).
thf(f81670,plain,
( ~ spl0_101
| ~ spl0_211
| spl0_216 ),
inference(avatar_split_clause,[],[f81669,f51707,f47486,f2231]) ).
thf(f81669,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f3,$false)) )
| ~ spl0_211
| spl0_216 ),
inference(forward_demodulation,[],[f51708,f47488]) ).
thf(f81668,plain,
( spl0_157
| ~ spl0_211
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f81667,f51716,f47486,f6226]) ).
thf(f81667,plain,
( ( $false = vAPP($o,$o,f3,$false) )
| ~ spl0_211
| ~ spl0_218 ),
inference(forward_demodulation,[],[f81666,f47488]) ).
thf(f81666,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,$false)) )
| ~ spl0_211
| ~ spl0_218 ),
inference(forward_demodulation,[],[f81665,f47488]) ).
thf(f81665,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$false))) )
| ~ spl0_211
| ~ spl0_218 ),
inference(forward_demodulation,[],[f51718,f47488]) ).
thf(f81660,plain,
( spl0_157
| ~ spl0_172
| ~ spl0_222 ),
inference(avatar_split_clause,[],[f81659,f51737,f14057,f6226]) ).
thf(f81659,plain,
( ( $false = vAPP($o,$o,f3,$false) )
| ~ spl0_172
| ~ spl0_222 ),
inference(forward_demodulation,[],[f51739,f14059]) ).
thf(f14059,plain,
( ( $false = vAPP($o,$o,f4,$true) )
| ~ spl0_172 ),
inference(avatar_component_clause,[],[f14057]) ).
thf(f81656,plain,
( spl0_99
| ~ spl0_89
| ~ spl0_96
| ~ spl0_107
| ~ spl0_211
| ~ spl0_225 ),
inference(avatar_split_clause,[],[f81655,f58632,f47486,f2635,f1752,f1410,f2163]) ).
thf(f58632,plain,
( spl0_225
<=> ( $true = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_225])]) ).
thf(f81655,plain,
( ( $true = vAPP($o,$o,f1,$false) )
| ~ spl0_89
| ~ spl0_96
| ~ spl0_107
| ~ spl0_211
| ~ spl0_225 ),
inference(forward_demodulation,[],[f81654,f81421]) ).
thf(f81421,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$false)))))) )
| ~ spl0_89
| ~ spl0_96
| ~ spl0_107
| ~ spl0_211 ),
inference(forward_demodulation,[],[f81399,f47488]) ).
thf(f81399,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))))) )
| ~ spl0_89
| ~ spl0_96
| ~ spl0_107 ),
inference(backward_demodulation,[],[f81191,f1412]) ).
thf(f81191,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$false)))))))) )
| ~ spl0_96
| ~ spl0_107 ),
inference(forward_demodulation,[],[f1754,f2637]) ).
thf(f1754,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$false)))))))))) )
| ~ spl0_96 ),
inference(avatar_component_clause,[],[f1752]) ).
thf(f81654,plain,
( ( $true = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$false))))))) )
| ~ spl0_211
| ~ spl0_225 ),
inference(forward_demodulation,[],[f58634,f47488]) ).
thf(f58634,plain,
( ( $true = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))))))) )
| ~ spl0_225 ),
inference(avatar_component_clause,[],[f58632]) ).
thf(f81648,plain,
( spl0_159
| ~ spl0_172
| ~ spl0_232 ),
inference(avatar_split_clause,[],[f81647,f59593,f14057,f6240]) ).
thf(f6240,plain,
( spl0_159
<=> ( $false = vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$false))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).
thf(f81647,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$false))) )
| ~ spl0_172
| ~ spl0_232 ),
inference(forward_demodulation,[],[f59595,f14059]) ).
thf(f81645,plain,
( ~ spl0_138
| ~ spl0_172
| spl0_234 ),
inference(avatar_split_clause,[],[f81644,f59605,f14057,f4312]) ).
thf(f81644,plain,
( ( $true != vAPP($o,$o,f3,$false) )
| ~ spl0_172
| spl0_234 ),
inference(forward_demodulation,[],[f59607,f14059]) ).
thf(f81585,plain,
( spl0_145
| ~ spl0_172
| ~ spl0_240 ),
inference(avatar_split_clause,[],[f81332,f60539,f14057,f4612]) ).
thf(f81332,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$false))) )
| ~ spl0_172
| ~ spl0_240 ),
inference(forward_demodulation,[],[f60540,f14059]) ).
thf(f60540,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true)))) )
| ~ spl0_240 ),
inference(avatar_component_clause,[],[f60539]) ).
thf(f81576,plain,
( ~ spl0_154
| ~ spl0_139
| spl0_229 ),
inference(avatar_split_clause,[],[f80602,f58810,f4316,f5828]) ).
thf(f58810,plain,
( spl0_229
<=> ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$false)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_229])]) ).
thf(f80602,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ~ spl0_139
| spl0_229 ),
inference(forward_demodulation,[],[f58811,f4317]) ).
thf(f58811,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$false)))) )
| spl0_229 ),
inference(avatar_component_clause,[],[f58810]) ).
thf(f81575,plain,
( spl0_270
| ~ spl0_10
| ~ spl0_96
| ~ spl0_107
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f81192,f2659,f2635,f1752,f91,f76232]) ).
thf(f81192,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ~ spl0_10
| ~ spl0_96
| ~ spl0_107
| ~ spl0_111 ),
inference(backward_demodulation,[],[f81174,f81191]) ).
thf(f81174,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$false)))))))))) )
| ~ spl0_10
| ~ spl0_111 ),
inference(forward_demodulation,[],[f93,f2661]) ).
thf(f81544,plain,
( ~ spl0_137
| spl0_23
| ~ spl0_89
| ~ spl0_111
| ~ spl0_116
| ~ spl0_211 ),
inference(avatar_split_clause,[],[f81543,f47486,f3022,f2659,f1410,f150,f4036]) ).
thf(f81543,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$false)))) )
| spl0_23
| ~ spl0_89
| ~ spl0_111
| ~ spl0_116
| ~ spl0_211 ),
inference(forward_demodulation,[],[f81542,f47488]) ).
thf(f81542,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))) )
| spl0_23
| ~ spl0_89
| ~ spl0_111
| ~ spl0_116 ),
inference(forward_demodulation,[],[f81541,f1412]) ).
thf(f81541,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$false)))))) )
| spl0_23
| ~ spl0_89
| ~ spl0_111
| ~ spl0_116 ),
inference(forward_demodulation,[],[f81540,f1412]) ).
thf(f81540,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false))))))) )
| spl0_23
| ~ spl0_111
| ~ spl0_116 ),
inference(forward_demodulation,[],[f79827,f2661]) ).
thf(f79827,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true)))))))) )
| spl0_23
| ~ spl0_116 ),
inference(forward_demodulation,[],[f151,f3024]) ).
thf(f81537,plain,
( ~ spl0_140
| spl0_19
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116
| ~ spl0_211 ),
inference(avatar_split_clause,[],[f81536,f47486,f3022,f2659,f2635,f132,f4388]) ).
thf(f81536,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f3,$false)) )
| spl0_19
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116
| ~ spl0_211 ),
inference(forward_demodulation,[],[f81182,f47488]) ).
thf(f81534,plain,
( ~ spl0_162
| spl0_29
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116
| ~ spl0_211 ),
inference(avatar_split_clause,[],[f81533,f47486,f3022,f2659,f2635,f177,f6339]) ).
thf(f81533,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$false))))))) )
| spl0_29
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116
| ~ spl0_211 ),
inference(forward_demodulation,[],[f81179,f47488]) ).
thf(f81179,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))))))) )
| spl0_29
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116 ),
inference(backward_demodulation,[],[f80986,f2637]) ).
thf(f80986,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false)))))))))) )
| spl0_29
| ~ spl0_111
| ~ spl0_116 ),
inference(forward_demodulation,[],[f80985,f2661]) ).
thf(f80985,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true))))))))))) )
| spl0_29
| ~ spl0_116 ),
inference(forward_demodulation,[],[f178,f3024]) ).
thf(f178,plain,
( ( vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,x)))))))))))) != $false )
| spl0_29 ),
inference(avatar_component_clause,[],[f177]) ).
thf(f81516,plain,
( spl0_145
| ~ spl0_48
| ~ spl0_105
| ~ spl0_111
| ~ spl0_168
| ~ spl0_211
| ~ spl0_252 ),
inference(avatar_split_clause,[],[f81515,f63779,f47486,f9124,f2659,f2566,f442,f4612]) ).
thf(f442,plain,
( spl0_48
<=> ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,$false)))))))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
thf(f81515,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$false))) )
| ~ spl0_48
| ~ spl0_105
| ~ spl0_111
| ~ spl0_168
| ~ spl0_211
| ~ spl0_252 ),
inference(forward_demodulation,[],[f80921,f47488]) ).
thf(f80921,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))) )
| ~ spl0_48
| ~ spl0_105
| ~ spl0_111
| ~ spl0_168
| ~ spl0_252 ),
inference(forward_demodulation,[],[f80920,f63781]) ).
thf(f63781,plain,
( ( $false = vAPP($o,$o,f4,vAPP($o,$o,f4,$false)) )
| ~ spl0_252 ),
inference(avatar_component_clause,[],[f63779]) ).
thf(f80920,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$false)))))) )
| ~ spl0_48
| ~ spl0_105
| ~ spl0_111
| ~ spl0_168 ),
inference(forward_demodulation,[],[f80919,f2661]) ).
thf(f80919,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,$true))))))) )
| ~ spl0_48
| ~ spl0_105
| ~ spl0_168 ),
inference(forward_demodulation,[],[f80918,f2568]) ).
thf(f80918,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,$false)))))))) )
| ~ spl0_48
| ~ spl0_105
| ~ spl0_168 ),
inference(forward_demodulation,[],[f80917,f9125]) ).
thf(f80917,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$true))))))))) )
| ~ spl0_48
| ~ spl0_105 ),
inference(forward_demodulation,[],[f444,f2568]) ).
thf(f444,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,$false)))))))))) )
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f442]) ).
thf(f81493,plain,
( spl0_145
| ~ spl0_211
| ~ spl0_215 ),
inference(avatar_split_clause,[],[f81492,f51702,f47486,f4612]) ).
thf(f81492,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$false))) )
| ~ spl0_211
| ~ spl0_215 ),
inference(forward_demodulation,[],[f51704,f47488]) ).
thf(f81433,plain,
( ~ spl0_89
| spl0_98
| ~ spl0_102
| ~ spl0_103
| ~ spl0_107
| ~ spl0_138
| ~ spl0_180
| ~ spl0_211 ),
inference(avatar_contradiction_clause,[],[f81432]) ).
thf(f81432,plain,
( $false
| ~ spl0_89
| spl0_98
| ~ spl0_102
| ~ spl0_103
| ~ spl0_107
| ~ spl0_138
| ~ spl0_180
| ~ spl0_211 ),
inference(subsumption_resolution,[],[f81431,f2415]) ).
thf(f81431,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ~ spl0_89
| spl0_98
| ~ spl0_102
| ~ spl0_107
| ~ spl0_138
| ~ spl0_180
| ~ spl0_211 ),
inference(forward_demodulation,[],[f81430,f2237]) ).
thf(f81430,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,$true)) )
| ~ spl0_89
| spl0_98
| ~ spl0_107
| ~ spl0_138
| ~ spl0_180
| ~ spl0_211 ),
inference(forward_demodulation,[],[f81429,f31777]) ).
thf(f81429,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$true))) )
| ~ spl0_89
| spl0_98
| ~ spl0_107
| ~ spl0_138
| ~ spl0_180
| ~ spl0_211 ),
inference(forward_demodulation,[],[f81428,f31777]) ).
thf(f81428,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$true)))) )
| ~ spl0_89
| spl0_98
| ~ spl0_107
| ~ spl0_138
| ~ spl0_211 ),
inference(forward_demodulation,[],[f81427,f4314]) ).
thf(f81427,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$false))))) )
| ~ spl0_89
| spl0_98
| ~ spl0_107
| ~ spl0_211 ),
inference(forward_demodulation,[],[f81400,f47488]) ).
thf(f81400,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))))) )
| ~ spl0_89
| spl0_98
| ~ spl0_107 ),
inference(backward_demodulation,[],[f81385,f1412]) ).
thf(f81385,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$false))))))) )
| spl0_98
| ~ spl0_107 ),
inference(forward_demodulation,[],[f2072,f2637]) ).
thf(f81353,plain,
( ~ spl0_17
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116
| spl0_157
| ~ spl0_211 ),
inference(avatar_contradiction_clause,[],[f81352]) ).
thf(f81352,plain,
( $false
| ~ spl0_17
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116
| spl0_157
| ~ spl0_211 ),
inference(subsumption_resolution,[],[f81351,f6227]) ).
thf(f6227,plain,
( ( $false != vAPP($o,$o,f3,$false) )
| spl0_157 ),
inference(avatar_component_clause,[],[f6226]) ).
thf(f81351,plain,
( ( $false = vAPP($o,$o,f3,$false) )
| ~ spl0_17
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116
| ~ spl0_211 ),
inference(backward_demodulation,[],[f81203,f47488]) ).
thf(f81203,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,$false)) )
| ~ spl0_17
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116 ),
inference(forward_demodulation,[],[f81202,f2637]) ).
thf(f81202,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false)))) )
| ~ spl0_17
| ~ spl0_111
| ~ spl0_116 ),
inference(forward_demodulation,[],[f79835,f2661]) ).
thf(f79835,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true))))) )
| ~ spl0_17
| ~ spl0_116 ),
inference(forward_demodulation,[],[f125,f3024]) ).
thf(f81349,plain,
( ~ spl0_17
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116
| ~ spl0_172
| spl0_212 ),
inference(avatar_contradiction_clause,[],[f81348]) ).
thf(f81348,plain,
( $false
| ~ spl0_17
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116
| ~ spl0_172
| spl0_212 ),
inference(subsumption_resolution,[],[f81347,f81203]) ).
thf(f81347,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,$false)) )
| ~ spl0_172
| spl0_212 ),
inference(forward_demodulation,[],[f51272,f14059]) ).
thf(f81346,plain,
( spl0_211
| ~ spl0_213
| ~ spl0_252 ),
inference(avatar_split_clause,[],[f81345,f63779,f51427,f47486]) ).
thf(f81345,plain,
( ( $false = vAPP($o,$o,f4,$false) )
| ~ spl0_213
| ~ spl0_252 ),
inference(forward_demodulation,[],[f51429,f63781]) ).
thf(f81344,plain,
( ~ spl0_17
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116
| spl0_218
| ~ spl0_252 ),
inference(avatar_contradiction_clause,[],[f81343]) ).
thf(f81343,plain,
( $false
| ~ spl0_17
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116
| spl0_218
| ~ spl0_252 ),
inference(subsumption_resolution,[],[f81342,f81203]) ).
thf(f81342,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,$false)) )
| spl0_218
| ~ spl0_252 ),
inference(forward_demodulation,[],[f51717,f63781]) ).
thf(f81331,plain,
( spl0_211
| ~ spl0_172
| ~ spl0_244 ),
inference(avatar_split_clause,[],[f81330,f61451,f14057,f47486]) ).
thf(f61451,plain,
( spl0_244
<=> ( $false = vAPP($o,$o,f4,vAPP($o,$o,f4,$true)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_244])]) ).
thf(f81330,plain,
( ( $false = vAPP($o,$o,f4,$false) )
| ~ spl0_172
| ~ spl0_244 ),
inference(forward_demodulation,[],[f61453,f14059]) ).
thf(f61453,plain,
( ( $false = vAPP($o,$o,f4,vAPP($o,$o,f4,$true)) )
| ~ spl0_244 ),
inference(avatar_component_clause,[],[f61451]) ).
thf(f81236,plain,
( ~ spl0_211
| spl0_71
| ~ spl0_111
| ~ spl0_116
| ~ spl0_126
| ~ spl0_252 ),
inference(avatar_split_clause,[],[f80771,f63779,f3126,f3022,f2659,f894,f47486]) ).
thf(f894,plain,
( spl0_71
<=> ( vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x))))))) = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
thf(f3126,plain,
( spl0_126
<=> ( $true = vAPP($o,$o,f6,vAPP($o,$o,f6,$true)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).
thf(f80771,plain,
( ( $false != vAPP($o,$o,f4,$false) )
| spl0_71
| ~ spl0_111
| ~ spl0_116
| ~ spl0_126
| ~ spl0_252 ),
inference(forward_demodulation,[],[f80769,f63781]) ).
thf(f80769,plain,
( ( $false != vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$false))) )
| spl0_71
| ~ spl0_111
| ~ spl0_116
| ~ spl0_126 ),
inference(backward_demodulation,[],[f80563,f2661]) ).
thf(f80563,plain,
( ( $false != vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,$true)))) )
| spl0_71
| ~ spl0_116
| ~ spl0_126 ),
inference(backward_demodulation,[],[f79437,f3128]) ).
thf(f3128,plain,
( ( $true = vAPP($o,$o,f6,vAPP($o,$o,f6,$true)) )
| ~ spl0_126 ),
inference(avatar_component_clause,[],[f3126]) ).
thf(f79437,plain,
( ( $false != vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$true)))))) )
| spl0_71
| ~ spl0_116 ),
inference(forward_demodulation,[],[f895,f3024]) ).
thf(f895,plain,
( ( vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x))))))) != $false )
| spl0_71 ),
inference(avatar_component_clause,[],[f894]) ).
thf(f81217,plain,
( ~ spl0_189
| ~ spl0_17
| spl0_29
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116
| ~ spl0_138 ),
inference(avatar_split_clause,[],[f81216,f4312,f3022,f2659,f2635,f177,f123,f33057]) ).
thf(f33057,plain,
( spl0_189
<=> ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$true))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_189])]) ).
thf(f81216,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$true))))) )
| ~ spl0_17
| spl0_29
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116
| ~ spl0_138 ),
inference(forward_demodulation,[],[f81208,f4314]) ).
thf(f81208,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$false)))))) )
| ~ spl0_17
| spl0_29
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116 ),
inference(backward_demodulation,[],[f81179,f81203]) ).
thf(f81213,plain,
( ~ spl0_176
| ~ spl0_17
| spl0_25
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116
| ~ spl0_138 ),
inference(avatar_split_clause,[],[f81212,f4312,f3022,f2659,f2635,f159,f123,f25636]) ).
thf(f81212,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$true))) )
| ~ spl0_17
| spl0_25
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116
| ~ spl0_138 ),
inference(forward_demodulation,[],[f81206,f4314]) ).
thf(f81206,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$false)))) )
| ~ spl0_17
| spl0_25
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116 ),
inference(backward_demodulation,[],[f81181,f81203]) ).
thf(f81181,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))))) )
| spl0_25
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116 ),
inference(backward_demodulation,[],[f81014,f2637]) ).
thf(f81014,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false)))))))) )
| spl0_25
| ~ spl0_111
| ~ spl0_116 ),
inference(forward_demodulation,[],[f81013,f2661]) ).
thf(f81013,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true))))))))) )
| spl0_25
| ~ spl0_116 ),
inference(forward_demodulation,[],[f160,f3024]) ).
thf(f81140,plain,
( ~ spl0_210
| spl0_84
| ~ spl0_105
| ~ spl0_111
| ~ spl0_116
| ~ spl0_168
| ~ spl0_252 ),
inference(avatar_split_clause,[],[f81139,f63779,f9124,f3022,f2659,f2566,f991,f43365]) ).
thf(f81139,plain,
( ( $true != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))))) )
| spl0_84
| ~ spl0_105
| ~ spl0_111
| ~ spl0_116
| ~ spl0_168
| ~ spl0_252 ),
inference(forward_demodulation,[],[f81138,f63781]) ).
thf(f81138,plain,
( ( $true != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$false)))))))) )
| spl0_84
| ~ spl0_105
| ~ spl0_111
| ~ spl0_116
| ~ spl0_168 ),
inference(forward_demodulation,[],[f81137,f2661]) ).
thf(f81137,plain,
( ( $true != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,$true))))))))) )
| spl0_84
| ~ spl0_105
| ~ spl0_116
| ~ spl0_168 ),
inference(forward_demodulation,[],[f81136,f2568]) ).
thf(f81136,plain,
( ( $true != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,$false)))))))))) )
| spl0_84
| ~ spl0_116
| ~ spl0_168 ),
inference(forward_demodulation,[],[f79229,f9125]) ).
thf(f79229,plain,
( ( $true != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$true))))))))))) )
| spl0_84
| ~ spl0_116 ),
inference(forward_demodulation,[],[f992,f3024]) ).
thf(f80763,plain,
( spl0_111
| ~ spl0_105
| ~ spl0_114
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f80762,f9124,f2853,f2566,f2659]) ).
thf(f80762,plain,
( ( $false = vAPP($o,$o,f5,$true) )
| ~ spl0_105
| ~ spl0_114
| ~ spl0_168 ),
inference(forward_demodulation,[],[f80761,f2568]) ).
thf(f80761,plain,
( ( $false = vAPP($o,$o,f5,vAPP($o,$o,f6,$false)) )
| ~ spl0_114
| ~ spl0_168 ),
inference(forward_demodulation,[],[f2854,f9125]) ).
thf(f80758,plain,
( spl0_93
| ~ spl0_103
| ~ spl0_133
| ~ spl0_138
| ~ spl0_143
| ~ spl0_173 ),
inference(avatar_contradiction_clause,[],[f80757]) ).
thf(f80757,plain,
( $false
| spl0_93
| ~ spl0_103
| ~ spl0_133
| ~ spl0_138
| ~ spl0_143
| ~ spl0_173 ),
inference(subsumption_resolution,[],[f80756,f1669]) ).
thf(f80756,plain,
( ( $false = vAPP($o,$o,f0,$false) )
| ~ spl0_103
| ~ spl0_133
| ~ spl0_138
| ~ spl0_143
| ~ spl0_173 ),
inference(forward_demodulation,[],[f80755,f2415]) ).
thf(f80755,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ~ spl0_103
| ~ spl0_133
| ~ spl0_138
| ~ spl0_143
| ~ spl0_173 ),
inference(forward_demodulation,[],[f80754,f2415]) ).
thf(f80754,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ~ spl0_103
| ~ spl0_133
| ~ spl0_138
| ~ spl0_143
| ~ spl0_173 ),
inference(forward_demodulation,[],[f80753,f2415]) ).
thf(f80753,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ~ spl0_133
| ~ spl0_138
| ~ spl0_143
| ~ spl0_173 ),
inference(forward_demodulation,[],[f80752,f19785]) ).
thf(f80752,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$false))))) )
| ~ spl0_133
| ~ spl0_138
| ~ spl0_143 ),
inference(forward_demodulation,[],[f80751,f4461]) ).
thf(f80751,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$true)))))) )
| ~ spl0_133
| ~ spl0_138
| ~ spl0_143 ),
inference(forward_demodulation,[],[f80750,f4314]) ).
thf(f80750,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$false))))))) )
| ~ spl0_133
| ~ spl0_143 ),
inference(forward_demodulation,[],[f3277,f4461]) ).
thf(f3277,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$true)))))))) )
| ~ spl0_133 ),
inference(avatar_component_clause,[],[f3275]) ).
thf(f80645,plain,
( spl0_173
| ~ spl0_216
| ~ spl0_218
| ~ spl0_252 ),
inference(avatar_split_clause,[],[f80644,f63779,f51716,f51707,f19783]) ).
thf(f80644,plain,
( ( $false = vAPP($o,$o,f2,$false) )
| ~ spl0_216
| ~ spl0_218
| ~ spl0_252 ),
inference(forward_demodulation,[],[f51709,f79982]) ).
thf(f79982,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,$false)) )
| ~ spl0_218
| ~ spl0_252 ),
inference(forward_demodulation,[],[f51718,f63781]) ).
thf(f80643,plain,
( ~ spl0_157
| ~ spl0_172
| spl0_219
| ~ spl0_252 ),
inference(avatar_split_clause,[],[f80642,f63779,f51722,f14057,f6226]) ).
thf(f80642,plain,
( ( $false != vAPP($o,$o,f3,$false) )
| ~ spl0_172
| spl0_219
| ~ spl0_252 ),
inference(forward_demodulation,[],[f80641,f63781]) ).
thf(f80641,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$false))) )
| ~ spl0_172
| spl0_219 ),
inference(forward_demodulation,[],[f51723,f14059]) ).
thf(f80640,plain,
( ~ spl0_157
| ~ spl0_172
| spl0_222 ),
inference(avatar_split_clause,[],[f80639,f51737,f14057,f6226]) ).
thf(f80639,plain,
( ( $false != vAPP($o,$o,f3,$false) )
| ~ spl0_172
| spl0_222 ),
inference(forward_demodulation,[],[f51738,f14059]) ).
thf(f80624,plain,
( spl0_101
| ~ spl0_172
| ~ spl0_241 ),
inference(avatar_split_clause,[],[f80623,f60546,f14057,f2231]) ).
thf(f80623,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,$false)) )
| ~ spl0_172
| ~ spl0_241 ),
inference(forward_demodulation,[],[f60547,f14059]) ).
thf(f80617,plain,
( spl0_101
| ~ spl0_172
| ~ spl0_252
| ~ spl0_263 ),
inference(avatar_split_clause,[],[f80616,f74567,f63779,f14057,f2231]) ).
thf(f80616,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,$false)) )
| ~ spl0_172
| ~ spl0_252
| ~ spl0_263 ),
inference(forward_demodulation,[],[f80615,f63781]) ).
thf(f80615,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$false)))) )
| ~ spl0_172
| ~ spl0_263 ),
inference(forward_demodulation,[],[f74569,f14059]) ).
thf(f80590,plain,
( spl0_139
| ~ spl0_215
| ~ spl0_218
| ~ spl0_252 ),
inference(avatar_split_clause,[],[f79989,f63779,f51716,f51702,f4316]) ).
thf(f79989,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,$false)) )
| ~ spl0_215
| ~ spl0_218
| ~ spl0_252 ),
inference(forward_demodulation,[],[f51704,f79982]) ).
thf(f80571,plain,
( ~ spl0_173
| ~ spl0_17
| spl0_23
| ~ spl0_116
| ~ spl0_140 ),
inference(avatar_split_clause,[],[f80570,f4388,f3022,f150,f123,f19783]) ).
thf(f80570,plain,
( ( $false != vAPP($o,$o,f2,$false) )
| ~ spl0_17
| spl0_23
| ~ spl0_116
| ~ spl0_140 ),
inference(forward_demodulation,[],[f79898,f4390]) ).
thf(f79898,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$false))) )
| ~ spl0_17
| spl0_23
| ~ spl0_116 ),
inference(forward_demodulation,[],[f79827,f79835]) ).
thf(f80569,plain,
( spl0_174
| ~ spl0_145
| ~ spl0_172
| ~ spl0_268 ),
inference(avatar_split_clause,[],[f80568,f76187,f14057,f4612,f22938]) ).
thf(f80568,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,$false)) )
| ~ spl0_145
| ~ spl0_172
| ~ spl0_268 ),
inference(backward_demodulation,[],[f77112,f4614]) ).
thf(f77112,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$false))))) )
| ~ spl0_172
| ~ spl0_268 ),
inference(forward_demodulation,[],[f76189,f14059]) ).
thf(f80562,plain,
( spl0_126
| ~ spl0_115
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f79078,f3022,f3018,f3126]) ).
thf(f3018,plain,
( spl0_115
<=> ( vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x))) = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).
thf(f79078,plain,
( ( $true = vAPP($o,$o,f6,vAPP($o,$o,f6,$true)) )
| ~ spl0_115
| ~ spl0_116 ),
inference(forward_demodulation,[],[f3020,f3024]) ).
thf(f3020,plain,
( ( vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x))) = $true )
| ~ spl0_115 ),
inference(avatar_component_clause,[],[f3018]) ).
thf(f80205,plain,
( spl0_81
| ~ spl0_102
| ~ spl0_104
| ~ spl0_116
| ~ spl0_120
| ~ spl0_121
| ~ spl0_157
| ~ spl0_172
| ~ spl0_182
| ~ spl0_252 ),
inference(avatar_contradiction_clause,[],[f80204]) ).
thf(f80204,plain,
( $false
| spl0_81
| ~ spl0_102
| ~ spl0_104
| ~ spl0_116
| ~ spl0_120
| ~ spl0_121
| ~ spl0_157
| ~ spl0_172
| ~ spl0_182
| ~ spl0_252 ),
inference(subsumption_resolution,[],[f80203,f2419]) ).
thf(f80203,plain,
( ( $false != vAPP($o,$o,f1,$true) )
| spl0_81
| ~ spl0_102
| ~ spl0_116
| ~ spl0_120
| ~ spl0_121
| ~ spl0_157
| ~ spl0_172
| ~ spl0_182
| ~ spl0_252 ),
inference(forward_demodulation,[],[f80202,f78553]) ).
thf(f78553,plain,
( ( $true = vAPP($o,$o,f2,$false) )
| ~ spl0_102
| ~ spl0_182 ),
inference(backward_demodulation,[],[f31785,f2237]) ).
thf(f80202,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,$false)) )
| spl0_81
| ~ spl0_102
| ~ spl0_116
| ~ spl0_120
| ~ spl0_121
| ~ spl0_157
| ~ spl0_172
| ~ spl0_182
| ~ spl0_252 ),
inference(forward_demodulation,[],[f80201,f2237]) ).
thf(f80201,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))) )
| spl0_81
| ~ spl0_102
| ~ spl0_116
| ~ spl0_120
| ~ spl0_121
| ~ spl0_157
| ~ spl0_172
| ~ spl0_182
| ~ spl0_252 ),
inference(forward_demodulation,[],[f80200,f78553]) ).
thf(f80200,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$false)))) )
| spl0_81
| ~ spl0_116
| ~ spl0_120
| ~ spl0_121
| ~ spl0_157
| ~ spl0_172
| ~ spl0_252 ),
inference(forward_demodulation,[],[f80199,f6228]) ).
thf(f80199,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$false))))) )
| spl0_81
| ~ spl0_116
| ~ spl0_120
| ~ spl0_121
| ~ spl0_172
| ~ spl0_252 ),
inference(forward_demodulation,[],[f80198,f63781]) ).
thf(f80198,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$false))))))) )
| spl0_81
| ~ spl0_116
| ~ spl0_120
| ~ spl0_121
| ~ spl0_172 ),
inference(forward_demodulation,[],[f80197,f14059]) ).
thf(f80197,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$true)))))))) )
| spl0_81
| ~ spl0_116
| ~ spl0_120
| ~ spl0_121 ),
inference(forward_demodulation,[],[f80196,f3074]) ).
thf(f80196,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,$true))))))))) )
| spl0_81
| ~ spl0_116
| ~ spl0_121 ),
inference(forward_demodulation,[],[f80195,f3086]) ).
thf(f80195,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,$true)))))))))) )
| spl0_81
| ~ spl0_116
| ~ spl0_121 ),
inference(forward_demodulation,[],[f80194,f3086]) ).
thf(f80194,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$true))))))))))) )
| spl0_81
| ~ spl0_116 ),
inference(forward_demodulation,[],[f975,f3024]) ).
thf(f80057,plain,
( ~ spl0_102
| ~ spl0_157
| ~ spl0_172
| ~ spl0_182
| spl0_243 ),
inference(avatar_contradiction_clause,[],[f80056]) ).
thf(f80056,plain,
( $false
| ~ spl0_102
| ~ spl0_157
| ~ spl0_172
| ~ spl0_182
| spl0_243 ),
inference(subsumption_resolution,[],[f80050,f78553]) ).
thf(f80050,plain,
( ( $true != vAPP($o,$o,f2,$false) )
| ~ spl0_157
| ~ spl0_172
| spl0_243 ),
inference(backward_demodulation,[],[f79603,f6228]) ).
thf(f79603,plain,
( ( $true != vAPP($o,$o,f2,vAPP($o,$o,f3,$false)) )
| ~ spl0_172
| spl0_243 ),
inference(forward_demodulation,[],[f60642,f14059]) ).
thf(f60642,plain,
( ( $true != vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))) )
| spl0_243 ),
inference(avatar_component_clause,[],[f60640]) ).
thf(f80035,plain,
( spl0_71
| ~ spl0_116
| ~ spl0_121
| ~ spl0_171
| ~ spl0_252 ),
inference(avatar_contradiction_clause,[],[f80034]) ).
thf(f80034,plain,
( $false
| spl0_71
| ~ spl0_116
| ~ spl0_121
| ~ spl0_171
| ~ spl0_252 ),
inference(subsumption_resolution,[],[f80027,f63781]) ).
thf(f80027,plain,
( ( $false != vAPP($o,$o,f4,vAPP($o,$o,f4,$false)) )
| spl0_71
| ~ spl0_116
| ~ spl0_121
| ~ spl0_171 ),
inference(backward_demodulation,[],[f79439,f14055]) ).
thf(f14055,plain,
( ( $false = vAPP($o,$o,f4,vAPP($o,$o,f5,$true)) )
| ~ spl0_171 ),
inference(avatar_component_clause,[],[f14053]) ).
thf(f79439,plain,
( ( $false != vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,$true)))) )
| spl0_71
| ~ spl0_116
| ~ spl0_121 ),
inference(forward_demodulation,[],[f79438,f3086]) ).
thf(f79438,plain,
( ( $false != vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,$true))))) )
| spl0_71
| ~ spl0_116
| ~ spl0_121 ),
inference(forward_demodulation,[],[f79437,f3086]) ).
thf(f80031,plain,
( ~ spl0_157
| spl0_73
| ~ spl0_116
| ~ spl0_121
| ~ spl0_171
| ~ spl0_252 ),
inference(avatar_split_clause,[],[f80030,f63779,f14053,f3084,f3022,f912,f6226]) ).
thf(f80030,plain,
( ( $false != vAPP($o,$o,f3,$false) )
| spl0_73
| ~ spl0_116
| ~ spl0_121
| ~ spl0_171
| ~ spl0_252 ),
inference(forward_demodulation,[],[f80025,f63781]) ).
thf(f80025,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$false))) )
| spl0_73
| ~ spl0_116
| ~ spl0_121
| ~ spl0_171 ),
inference(backward_demodulation,[],[f79096,f14055]) ).
thf(f79096,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,$true))))) )
| spl0_73
| ~ spl0_116
| ~ spl0_121 ),
inference(forward_demodulation,[],[f79095,f3086]) ).
thf(f79095,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,$true)))))) )
| spl0_73
| ~ spl0_116
| ~ spl0_121 ),
inference(forward_demodulation,[],[f79094,f3086]) ).
thf(f79094,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$true))))))) )
| spl0_73
| ~ spl0_116 ),
inference(forward_demodulation,[],[f913,f3024]) ).
thf(f80029,plain,
( spl0_157
| ~ spl0_17
| ~ spl0_116
| ~ spl0_125
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f80024,f14053,f3119,f3022,f123,f6226]) ).
thf(f80024,plain,
( ( $false = vAPP($o,$o,f3,$false) )
| ~ spl0_17
| ~ spl0_116
| ~ spl0_125
| ~ spl0_171 ),
inference(backward_demodulation,[],[f79910,f14055]) ).
thf(f79910,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$true))) )
| ~ spl0_17
| ~ spl0_116
| ~ spl0_125 ),
inference(backward_demodulation,[],[f79835,f3121]) ).
thf(f79981,plain,
( spl0_157
| ~ spl0_172
| ~ spl0_219
| ~ spl0_252 ),
inference(avatar_split_clause,[],[f79980,f63779,f51722,f14057,f6226]) ).
thf(f79980,plain,
( ( $false = vAPP($o,$o,f3,$false) )
| ~ spl0_172
| ~ spl0_219
| ~ spl0_252 ),
inference(forward_demodulation,[],[f79979,f63781]) ).
thf(f79979,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$false))) )
| ~ spl0_172
| ~ spl0_219 ),
inference(forward_demodulation,[],[f51724,f14059]) ).
thf(f79960,plain,
( ~ spl0_38
| ~ spl0_50
| ~ spl0_172
| spl0_242
| ~ spl0_252 ),
inference(avatar_contradiction_clause,[],[f79959]) ).
thf(f79959,plain,
( $false
| ~ spl0_38
| ~ spl0_50
| ~ spl0_172
| spl0_242
| ~ spl0_252 ),
inference(subsumption_resolution,[],[f79958,f79919]) ).
thf(f79919,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$false)))) )
| ~ spl0_38
| ~ spl0_50
| ~ spl0_252 ),
inference(forward_demodulation,[],[f79918,f63781]) ).
thf(f79918,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$false)))))) )
| ~ spl0_38
| ~ spl0_50 ),
inference(backward_demodulation,[],[f456,f369]) ).
thf(f369,plain,
( ( $false = vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,$false))))) )
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f367]) ).
thf(f367,plain,
( spl0_38
<=> ( $false = vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,$false))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
thf(f456,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,$false))))))))))) )
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f454]) ).
thf(f454,plain,
( spl0_50
<=> ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,$false))))))))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
thf(f79958,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$false)))) )
| ~ spl0_172
| spl0_242 ),
inference(forward_demodulation,[],[f60636,f14059]) ).
thf(f60636,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))))) )
| spl0_242 ),
inference(avatar_component_clause,[],[f60635]) ).
thf(f79951,plain,
( ~ spl0_101
| ~ spl0_172
| ~ spl0_252
| spl0_263 ),
inference(avatar_split_clause,[],[f79950,f74567,f63779,f14057,f2231]) ).
thf(f79950,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f3,$false)) )
| ~ spl0_172
| ~ spl0_252
| spl0_263 ),
inference(forward_demodulation,[],[f79949,f63781]) ).
thf(f79949,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$false)))) )
| ~ spl0_172
| spl0_263 ),
inference(forward_demodulation,[],[f74568,f14059]) ).
thf(f79761,plain,
( ~ spl0_75
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121
| spl0_216
| ~ spl0_252 ),
inference(avatar_contradiction_clause,[],[f79760]) ).
thf(f79760,plain,
( $false
| ~ spl0_75
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121
| spl0_216
| ~ spl0_252 ),
inference(subsumption_resolution,[],[f79759,f51708]) ).
thf(f79759,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))) )
| ~ spl0_75
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121
| ~ spl0_252 ),
inference(forward_demodulation,[],[f79758,f63781]) ).
thf(f79758,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$false))))) )
| ~ spl0_75
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121 ),
inference(forward_demodulation,[],[f79757,f2661]) ).
thf(f79757,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,$true)))))) )
| ~ spl0_75
| ~ spl0_116
| ~ spl0_121 ),
inference(forward_demodulation,[],[f79756,f3086]) ).
thf(f79756,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,$true))))))) )
| ~ spl0_75
| ~ spl0_116
| ~ spl0_121 ),
inference(forward_demodulation,[],[f79755,f3086]) ).
thf(f79755,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$true)))))))) )
| ~ spl0_75
| ~ spl0_116 ),
inference(forward_demodulation,[],[f931,f3024]) ).
thf(f79694,plain,
( spl0_93
| ~ spl0_102
| ~ spl0_103
| ~ spl0_133
| ~ spl0_180 ),
inference(avatar_contradiction_clause,[],[f79693]) ).
thf(f79693,plain,
( $false
| spl0_93
| ~ spl0_102
| ~ spl0_103
| ~ spl0_133
| ~ spl0_180 ),
inference(subsumption_resolution,[],[f79692,f1669]) ).
thf(f79692,plain,
( ( $false = vAPP($o,$o,f0,$false) )
| ~ spl0_102
| ~ spl0_103
| ~ spl0_133
| ~ spl0_180 ),
inference(forward_demodulation,[],[f79691,f2415]) ).
thf(f79691,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ~ spl0_102
| ~ spl0_103
| ~ spl0_133
| ~ spl0_180 ),
inference(forward_demodulation,[],[f79690,f2415]) ).
thf(f79690,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ~ spl0_102
| ~ spl0_103
| ~ spl0_133
| ~ spl0_180 ),
inference(forward_demodulation,[],[f79689,f2415]) ).
thf(f79689,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ~ spl0_102
| ~ spl0_133
| ~ spl0_180 ),
inference(forward_demodulation,[],[f79688,f2237]) ).
thf(f79688,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))))) )
| ~ spl0_133
| ~ spl0_180 ),
inference(forward_demodulation,[],[f79687,f31777]) ).
thf(f79687,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$true)))))) )
| ~ spl0_133
| ~ spl0_180 ),
inference(forward_demodulation,[],[f79686,f31777]) ).
thf(f79686,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$true))))))) )
| ~ spl0_133
| ~ spl0_180 ),
inference(forward_demodulation,[],[f3277,f31777]) ).
thf(f79539,plain,
( ~ spl0_34
| ~ spl0_56
| spl0_93
| ~ spl0_94
| ~ spl0_111
| ~ spl0_207
| ~ spl0_252 ),
inference(avatar_contradiction_clause,[],[f79538]) ).
thf(f79538,plain,
( $false
| ~ spl0_34
| ~ spl0_56
| spl0_93
| ~ spl0_94
| ~ spl0_111
| ~ spl0_207
| ~ spl0_252 ),
inference(subsumption_resolution,[],[f79537,f1669]) ).
thf(f79537,plain,
( ( $false = vAPP($o,$o,f0,$false) )
| ~ spl0_34
| ~ spl0_56
| ~ spl0_94
| ~ spl0_111
| ~ spl0_207
| ~ spl0_252 ),
inference(forward_demodulation,[],[f79536,f486]) ).
thf(f486,plain,
( ( $false = vAPP($o,$o,f0,$true) )
| ~ spl0_56 ),
inference(avatar_component_clause,[],[f484]) ).
thf(f79536,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ~ spl0_34
| ~ spl0_94
| ~ spl0_111
| ~ spl0_207
| ~ spl0_252 ),
inference(forward_demodulation,[],[f79535,f1676]) ).
thf(f79535,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$false))) )
| ~ spl0_34
| ~ spl0_111
| ~ spl0_207
| ~ spl0_252 ),
inference(forward_demodulation,[],[f79534,f43350]) ).
thf(f79534,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))))))) )
| ~ spl0_34
| ~ spl0_111
| ~ spl0_252 ),
inference(forward_demodulation,[],[f79533,f63781]) ).
thf(f79533,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$false))))))))))) )
| ~ spl0_34
| ~ spl0_111 ),
inference(forward_demodulation,[],[f342,f2661]) ).
thf(f79510,plain,
( ~ spl0_207
| spl0_81
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121
| ~ spl0_252 ),
inference(avatar_split_clause,[],[f79384,f63779,f3084,f3022,f2659,f974,f43348]) ).
thf(f79384,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))))) )
| spl0_81
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121
| ~ spl0_252 ),
inference(forward_demodulation,[],[f79356,f63781]) ).
thf(f79356,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$false)))))))) )
| spl0_81
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121 ),
inference(backward_demodulation,[],[f79084,f2661]) ).
thf(f79084,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,$true))))))))) )
| spl0_81
| ~ spl0_116
| ~ spl0_121 ),
inference(forward_demodulation,[],[f79083,f3086]) ).
thf(f79083,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,$true)))))))))) )
| spl0_81
| ~ spl0_116
| ~ spl0_121 ),
inference(forward_demodulation,[],[f79082,f3086]) ).
thf(f79082,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$true))))))))))) )
| spl0_81
| ~ spl0_116 ),
inference(forward_demodulation,[],[f975,f3024]) ).
thf(f79506,plain,
( ~ spl0_210
| spl0_84
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121
| ~ spl0_252 ),
inference(avatar_split_clause,[],[f79412,f63779,f3084,f3022,f2659,f991,f43365]) ).
thf(f79412,plain,
( ( $true != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))))) )
| spl0_84
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121
| ~ spl0_252 ),
inference(forward_demodulation,[],[f79362,f63781]) ).
thf(f79362,plain,
( ( $true != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$false)))))))) )
| spl0_84
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121 ),
inference(backward_demodulation,[],[f79231,f2661]) ).
thf(f79231,plain,
( ( $true != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,$true))))))))) )
| spl0_84
| ~ spl0_116
| ~ spl0_121 ),
inference(forward_demodulation,[],[f79230,f3086]) ).
thf(f79230,plain,
( ( $true != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,$true)))))))))) )
| spl0_84
| ~ spl0_116
| ~ spl0_121 ),
inference(forward_demodulation,[],[f79229,f3086]) ).
thf(f79425,plain,
( spl0_17
| ~ spl0_111
| ~ spl0_116
| ~ spl0_125
| ~ spl0_218
| ~ spl0_252 ),
inference(avatar_contradiction_clause,[],[f79424]) ).
thf(f79424,plain,
( $false
| spl0_17
| ~ spl0_111
| ~ spl0_116
| ~ spl0_125
| ~ spl0_218
| ~ spl0_252 ),
inference(subsumption_resolution,[],[f79364,f77834]) ).
thf(f77834,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,$false)) )
| ~ spl0_218
| ~ spl0_252 ),
inference(forward_demodulation,[],[f51718,f63781]) ).
thf(f79364,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,$false)) )
| spl0_17
| ~ spl0_111
| ~ spl0_116
| ~ spl0_125 ),
inference(backward_demodulation,[],[f79242,f2661]) ).
thf(f79242,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$true))) )
| spl0_17
| ~ spl0_116
| ~ spl0_125 ),
inference(backward_demodulation,[],[f79178,f3121]) ).
thf(f79178,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true))))) )
| spl0_17
| ~ spl0_116 ),
inference(forward_demodulation,[],[f124,f3024]) ).
thf(f79395,plain,
( spl0_69
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121
| ~ spl0_252 ),
inference(avatar_contradiction_clause,[],[f79394]) ).
thf(f79394,plain,
( $false
| spl0_69
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121
| ~ spl0_252 ),
inference(subsumption_resolution,[],[f79358,f63781]) ).
thf(f79358,plain,
( ( $false != vAPP($o,$o,f4,vAPP($o,$o,f4,$false)) )
| spl0_69
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121 ),
inference(backward_demodulation,[],[f79102,f2661]) ).
thf(f79102,plain,
( ( $false != vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,$true))) )
| spl0_69
| ~ spl0_116
| ~ spl0_121 ),
inference(forward_demodulation,[],[f79101,f3086]) ).
thf(f79101,plain,
( ( $false != vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,$true)))) )
| spl0_69
| ~ spl0_116
| ~ spl0_121 ),
inference(forward_demodulation,[],[f79100,f3086]) ).
thf(f79100,plain,
( ( $false != vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$true))))) )
| spl0_69
| ~ spl0_116 ),
inference(forward_demodulation,[],[f876,f3024]) ).
thf(f79349,plain,
( spl0_111
| ~ spl0_114
| ~ spl0_121 ),
inference(avatar_split_clause,[],[f79348,f3084,f2853,f2659]) ).
thf(f79348,plain,
( ( $false = vAPP($o,$o,f5,$true) )
| ~ spl0_114
| ~ spl0_121 ),
inference(forward_demodulation,[],[f79347,f3086]) ).
thf(f79347,plain,
( ( $false = vAPP($o,$o,f5,vAPP($o,$o,f6,$true)) )
| ~ spl0_114
| ~ spl0_121 ),
inference(forward_demodulation,[],[f2854,f3086]) ).
thf(f79336,plain,
( ~ spl0_172
| spl0_212
| ~ spl0_218
| ~ spl0_252 ),
inference(avatar_contradiction_clause,[],[f79335]) ).
thf(f79335,plain,
( $false
| ~ spl0_172
| spl0_212
| ~ spl0_218
| ~ spl0_252 ),
inference(subsumption_resolution,[],[f79334,f77834]) ).
thf(f79334,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,$false)) )
| ~ spl0_172
| spl0_212 ),
inference(forward_demodulation,[],[f51272,f14059]) ).
thf(f78963,plain,
( ~ spl0_211
| ~ spl0_172
| spl0_244 ),
inference(avatar_split_clause,[],[f78962,f61451,f14057,f47486]) ).
thf(f78962,plain,
( ( $false != vAPP($o,$o,f4,$false) )
| ~ spl0_172
| spl0_244 ),
inference(forward_demodulation,[],[f61452,f14059]) ).
thf(f61452,plain,
( ( $false != vAPP($o,$o,f4,vAPP($o,$o,f4,$true)) )
| spl0_244 ),
inference(avatar_component_clause,[],[f61451]) ).
thf(f78904,plain,
( ~ spl0_56
| spl0_70
| ~ spl0_94
| ~ spl0_172
| ~ spl0_268 ),
inference(avatar_contradiction_clause,[],[f78903]) ).
thf(f78903,plain,
( $false
| ~ spl0_56
| spl0_70
| ~ spl0_94
| ~ spl0_172
| ~ spl0_268 ),
inference(subsumption_resolution,[],[f78902,f1676]) ).
thf(f78902,plain,
( ( $true != vAPP($o,$o,f0,$false) )
| ~ spl0_56
| spl0_70
| ~ spl0_94
| ~ spl0_172
| ~ spl0_268 ),
inference(forward_demodulation,[],[f78901,f486]) ).
thf(f78901,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| spl0_70
| ~ spl0_94
| ~ spl0_172
| ~ spl0_268 ),
inference(forward_demodulation,[],[f78900,f1676]) ).
thf(f78900,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$false))) )
| spl0_70
| ~ spl0_172
| ~ spl0_268 ),
inference(forward_demodulation,[],[f77945,f77112]) ).
thf(f77945,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$false)))))))) )
| spl0_70
| ~ spl0_172 ),
inference(forward_demodulation,[],[f880,f14059]) ).
thf(f880,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))))))))) )
| spl0_70 ),
inference(avatar_component_clause,[],[f879]) ).
thf(f78875,plain,
( ~ spl0_3
| spl0_41
| ~ spl0_71
| ~ spl0_172 ),
inference(avatar_contradiction_clause,[],[f78874]) ).
thf(f78874,plain,
( $false
| ~ spl0_3
| spl0_41
| ~ spl0_71
| ~ spl0_172 ),
inference(subsumption_resolution,[],[f78466,f78745]) ).
thf(f78745,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$false)))))))) )
| ~ spl0_3
| ~ spl0_71 ),
inference(forward_demodulation,[],[f21,f896]) ).
thf(f896,plain,
( ( vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x))))))) = $false )
| ~ spl0_71 ),
inference(avatar_component_clause,[],[f894]) ).
thf(f78466,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$false)))))))) )
| spl0_41
| ~ spl0_172 ),
inference(forward_demodulation,[],[f389,f14059]) ).
thf(f78869,plain,
( ~ spl0_102
| ~ spl0_172
| ~ spl0_182
| ~ spl0_212
| spl0_215 ),
inference(avatar_contradiction_clause,[],[f78868]) ).
thf(f78868,plain,
( $false
| ~ spl0_102
| ~ spl0_172
| ~ spl0_182
| ~ spl0_212
| spl0_215 ),
inference(subsumption_resolution,[],[f78867,f2237]) ).
thf(f78867,plain,
( ( $false != vAPP($o,$o,f2,$true) )
| ~ spl0_102
| ~ spl0_172
| ~ spl0_182
| ~ spl0_212
| spl0_215 ),
inference(forward_demodulation,[],[f78268,f78553]) ).
thf(f78268,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f2,$false)) )
| ~ spl0_172
| ~ spl0_212
| spl0_215 ),
inference(forward_demodulation,[],[f51703,f76524]) ).
thf(f76524,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,$false)) )
| ~ spl0_172
| ~ spl0_212 ),
inference(backward_demodulation,[],[f51271,f14059]) ).
thf(f51271,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$true))) )
| ~ spl0_212 ),
inference(avatar_component_clause,[],[f51270]) ).
thf(f51703,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))) )
| spl0_215 ),
inference(avatar_component_clause,[],[f51702]) ).
thf(f78751,plain,
( spl0_140
| ~ spl0_15
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f78750,f132,f114,f4388]) ).
thf(f78750,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f3,$false)) )
| ~ spl0_15
| ~ spl0_19 ),
inference(backward_demodulation,[],[f134,f116]) ).
thf(f116,plain,
( ( vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,x))))) = $false )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f114]) ).
thf(f134,plain,
( ( vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,x))))))) = $false )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f132]) ).
thf(f78739,plain,
( ~ spl0_145
| ~ spl0_71
| spl0_77 ),
inference(avatar_split_clause,[],[f78738,f945,f894,f4612]) ).
thf(f945,plain,
( spl0_77
<=> ( vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x)))))))))) = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
thf(f78738,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$false))) )
| ~ spl0_71
| spl0_77 ),
inference(forward_demodulation,[],[f946,f896]) ).
thf(f946,plain,
( ( vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x)))))))))) != $false )
| spl0_77 ),
inference(avatar_component_clause,[],[f945]) ).
thf(f78737,plain,
( ~ spl0_101
| ~ spl0_71
| spl0_75 ),
inference(avatar_split_clause,[],[f78736,f929,f894,f2231]) ).
thf(f78736,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f3,$false)) )
| ~ spl0_71
| spl0_75 ),
inference(forward_demodulation,[],[f930,f896]) ).
thf(f78565,plain,
( ~ spl0_102
| spl0_139
| ~ spl0_182 ),
inference(avatar_contradiction_clause,[],[f78564]) ).
thf(f78564,plain,
( $false
| ~ spl0_102
| spl0_139
| ~ spl0_182 ),
inference(subsumption_resolution,[],[f78556,f2237]) ).
thf(f78556,plain,
( ( $false != vAPP($o,$o,f2,$true) )
| ~ spl0_102
| spl0_139
| ~ spl0_182 ),
inference(backward_demodulation,[],[f4318,f78553]) ).
thf(f4318,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f2,$false)) )
| spl0_139 ),
inference(avatar_component_clause,[],[f4316]) ).
thf(f78529,plain,
( ~ spl0_105
| spl0_126
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f78528,f9124,f3126,f2566]) ).
thf(f78528,plain,
( ( $true != vAPP($o,$o,f6,$false) )
| spl0_126
| ~ spl0_168 ),
inference(forward_demodulation,[],[f3127,f9125]) ).
thf(f3127,plain,
( ( $true != vAPP($o,$o,f6,vAPP($o,$o,f6,$true)) )
| spl0_126 ),
inference(avatar_component_clause,[],[f3126]) ).
thf(f78507,plain,
( spl0_103
| ~ spl0_179
| ~ spl0_200 ),
inference(avatar_split_clause,[],[f78506,f33213,f30575,f2413]) ).
thf(f33213,plain,
( spl0_200
<=> ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_200])]) ).
thf(f78506,plain,
( ( $false = vAPP($o,$o,f1,$false) )
| ~ spl0_179
| ~ spl0_200 ),
inference(forward_demodulation,[],[f33215,f30576]) ).
thf(f30576,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,$true)) )
| ~ spl0_179 ),
inference(avatar_component_clause,[],[f30575]) ).
thf(f33215,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))) )
| ~ spl0_200 ),
inference(avatar_component_clause,[],[f33213]) ).
thf(f78485,plain,
( ~ spl0_157
| ~ spl0_172
| spl0_173
| ~ spl0_252
| ~ spl0_263 ),
inference(avatar_contradiction_clause,[],[f78484]) ).
thf(f78484,plain,
( $false
| ~ spl0_157
| ~ spl0_172
| spl0_173
| ~ spl0_252
| ~ spl0_263 ),
inference(subsumption_resolution,[],[f78483,f19784]) ).
thf(f78483,plain,
( ( $false = vAPP($o,$o,f2,$false) )
| ~ spl0_157
| ~ spl0_172
| ~ spl0_252
| ~ spl0_263 ),
inference(forward_demodulation,[],[f78482,f6228]) ).
thf(f78482,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,$false)) )
| ~ spl0_172
| ~ spl0_252
| ~ spl0_263 ),
inference(forward_demodulation,[],[f78481,f63781]) ).
thf(f78481,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$false)))) )
| ~ spl0_172
| ~ spl0_263 ),
inference(forward_demodulation,[],[f74569,f14059]) ).
thf(f78422,plain,
( ~ spl0_211
| spl0_213
| ~ spl0_252 ),
inference(avatar_split_clause,[],[f77841,f63779,f51427,f47486]) ).
thf(f77841,plain,
( ( $false != vAPP($o,$o,f4,$false) )
| spl0_213
| ~ spl0_252 ),
inference(forward_demodulation,[],[f51428,f63781]) ).
thf(f78418,plain,
( ~ spl0_102
| spl0_177
| ~ spl0_182 ),
inference(avatar_split_clause,[],[f78417,f31783,f27612,f2235]) ).
thf(f27612,plain,
( spl0_177
<=> ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).
thf(f78417,plain,
( ( $false != vAPP($o,$o,f2,$true) )
| spl0_177
| ~ spl0_182 ),
inference(backward_demodulation,[],[f27613,f31785]) ).
thf(f27613,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))) )
| spl0_177 ),
inference(avatar_component_clause,[],[f27612]) ).
thf(f78086,plain,
( spl0_174
| ~ spl0_7
| ~ spl0_17
| ~ spl0_25
| ~ spl0_110
| ~ spl0_157 ),
inference(avatar_split_clause,[],[f78085,f6226,f2651,f159,f123,f78,f22938]) ).
thf(f78,plain,
( spl0_7
<=> ( vAPP($o,$o,f6,x) = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
thf(f78085,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,$false)) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_25
| ~ spl0_110
| ~ spl0_157 ),
inference(forward_demodulation,[],[f78084,f6228]) ).
thf(f78084,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$false))) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_25
| ~ spl0_110
| ~ spl0_157 ),
inference(forward_demodulation,[],[f78083,f6228]) ).
thf(f78083,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$false)))) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_25
| ~ spl0_110 ),
inference(forward_demodulation,[],[f73449,f78005]) ).
thf(f78005,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$true)))) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_110 ),
inference(forward_demodulation,[],[f78004,f2653]) ).
thf(f78004,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$false))))) )
| ~ spl0_7
| ~ spl0_17 ),
inference(forward_demodulation,[],[f125,f80]) ).
thf(f80,plain,
( ( vAPP($o,$o,f6,x) = $false )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f78]) ).
thf(f73449,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$true)))))))) )
| ~ spl0_7
| ~ spl0_25
| ~ spl0_110 ),
inference(forward_demodulation,[],[f73448,f2653]) ).
thf(f73448,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$false))))))))) )
| ~ spl0_7
| ~ spl0_25 ),
inference(forward_demodulation,[],[f161,f80]) ).
thf(f78018,plain,
( spl0_231
| ~ spl0_3
| ~ spl0_7
| ~ spl0_67
| ~ spl0_157
| ~ spl0_252 ),
inference(avatar_split_clause,[],[f78017,f63779,f6226,f855,f78,f19,f58906]) ).
thf(f855,plain,
( spl0_67
<=> ( vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x))))) = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
thf(f78017,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$false))))))) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_67
| ~ spl0_157
| ~ spl0_252 ),
inference(forward_demodulation,[],[f78016,f6228]) ).
thf(f78016,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$false)))))))) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_67
| ~ spl0_252 ),
inference(forward_demodulation,[],[f77036,f63781]) ).
thf(f77036,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$false)))))))))) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_67 ),
inference(backward_demodulation,[],[f76976,f76754]) ).
thf(f76754,plain,
( ( $false = vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$false)))) )
| ~ spl0_7
| ~ spl0_67 ),
inference(forward_demodulation,[],[f857,f80]) ).
thf(f857,plain,
( ( vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x))))) = $false )
| ~ spl0_67 ),
inference(avatar_component_clause,[],[f855]) ).
thf(f76976,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$false)))))))))))))) )
| ~ spl0_3
| ~ spl0_7 ),
inference(forward_demodulation,[],[f21,f80]) ).
thf(f77865,plain,
( spl0_157
| ~ spl0_143
| ~ spl0_164 ),
inference(avatar_split_clause,[],[f77864,f7255,f4459,f6226]) ).
thf(f77864,plain,
( ( $false = vAPP($o,$o,f3,$false) )
| ~ spl0_143
| ~ spl0_164 ),
inference(forward_demodulation,[],[f7256,f4461]) ).
thf(f7256,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f3,$true)) )
| ~ spl0_164 ),
inference(avatar_component_clause,[],[f7255]) ).
thf(f77863,plain,
( ~ spl0_56
| spl0_93
| ~ spl0_94
| ~ spl0_174
| ~ spl0_246 ),
inference(avatar_contradiction_clause,[],[f77862]) ).
thf(f77862,plain,
( $false
| ~ spl0_56
| spl0_93
| ~ spl0_94
| ~ spl0_174
| ~ spl0_246 ),
inference(subsumption_resolution,[],[f77861,f1669]) ).
thf(f77861,plain,
( ( $false = vAPP($o,$o,f0,$false) )
| ~ spl0_56
| ~ spl0_94
| ~ spl0_174
| ~ spl0_246 ),
inference(forward_demodulation,[],[f77860,f486]) ).
thf(f77860,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ~ spl0_94
| ~ spl0_174
| ~ spl0_246 ),
inference(forward_demodulation,[],[f77858,f1676]) ).
thf(f77858,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$false))) )
| ~ spl0_174
| ~ spl0_246 ),
inference(backward_demodulation,[],[f62140,f22940]) ).
thf(f62140,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$false))))) )
| ~ spl0_246 ),
inference(avatar_component_clause,[],[f62138]) ).
thf(f62138,plain,
( spl0_246
<=> ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$false))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_246])]) ).
thf(f77825,plain,
( ~ spl0_56
| spl0_93
| ~ spl0_94
| ~ spl0_230
| ~ spl0_247 ),
inference(avatar_contradiction_clause,[],[f77824]) ).
thf(f77824,plain,
( $false
| ~ spl0_56
| spl0_93
| ~ spl0_94
| ~ spl0_230
| ~ spl0_247 ),
inference(subsumption_resolution,[],[f77823,f1669]) ).
thf(f77823,plain,
( ( $false = vAPP($o,$o,f0,$false) )
| ~ spl0_56
| ~ spl0_94
| ~ spl0_230
| ~ spl0_247 ),
inference(forward_demodulation,[],[f77822,f486]) ).
thf(f77822,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ~ spl0_94
| ~ spl0_230
| ~ spl0_247 ),
inference(forward_demodulation,[],[f77821,f1676]) ).
thf(f77821,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$false))) )
| ~ spl0_230
| ~ spl0_247 ),
inference(backward_demodulation,[],[f62146,f58820]) ).
thf(f77779,plain,
( ~ spl0_252
| spl0_42
| ~ spl0_105
| ~ spl0_120
| ~ spl0_168
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f77444,f14057,f9124,f3072,f2566,f400,f63779]) ).
thf(f400,plain,
( spl0_42
<=> ( $false = vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,$false))))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
thf(f77444,plain,
( ( $false != vAPP($o,$o,f4,vAPP($o,$o,f4,$false)) )
| spl0_42
| ~ spl0_105
| ~ spl0_120
| ~ spl0_168
| ~ spl0_172 ),
inference(forward_demodulation,[],[f77443,f14059]) ).
thf(f77443,plain,
( ( $false != vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$true))) )
| spl0_42
| ~ spl0_105
| ~ spl0_120
| ~ spl0_168 ),
inference(forward_demodulation,[],[f77442,f3074]) ).
thf(f77442,plain,
( ( $false != vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,$true)))) )
| spl0_42
| ~ spl0_105
| ~ spl0_168 ),
inference(forward_demodulation,[],[f77441,f2568]) ).
thf(f77441,plain,
( ( $false != vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,$false))))) )
| spl0_42
| ~ spl0_105
| ~ spl0_168 ),
inference(forward_demodulation,[],[f77440,f9125]) ).
thf(f77440,plain,
( ( $false != vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$true)))))) )
| spl0_42
| ~ spl0_105 ),
inference(forward_demodulation,[],[f401,f2568]) ).
thf(f401,plain,
( ( $false != vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,$false))))))) )
| spl0_42 ),
inference(avatar_component_clause,[],[f400]) ).
thf(f77643,plain,
( ~ spl0_101
| ~ spl0_143
| spl0_178 ),
inference(avatar_split_clause,[],[f77213,f27616,f4459,f2231]) ).
thf(f77213,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f3,$false)) )
| ~ spl0_143
| spl0_178 ),
inference(backward_demodulation,[],[f27617,f4461]) ).
thf(f77630,plain,
( ~ spl0_172
| spl0_211
| ~ spl0_213 ),
inference(avatar_contradiction_clause,[],[f77629]) ).
thf(f77629,plain,
( $false
| ~ spl0_172
| spl0_211
| ~ spl0_213 ),
inference(subsumption_resolution,[],[f77628,f47487]) ).
thf(f77628,plain,
( ( $false = vAPP($o,$o,f4,$false) )
| ~ spl0_172
| spl0_211
| ~ spl0_213 ),
inference(forward_demodulation,[],[f77627,f14059]) ).
thf(f77627,plain,
( ( $false = vAPP($o,$o,f4,vAPP($o,$o,f4,$true)) )
| spl0_211
| ~ spl0_213 ),
inference(subsumption_resolution,[],[f77611,f47487]) ).
thf(f77611,plain,
( ( $false = vAPP($o,$o,f4,vAPP($o,$o,f4,$true)) )
| ( $false = vAPP($o,$o,f4,$false) )
| ~ spl0_213 ),
inference(superposition,[],[f51429,f4]) ).
thf(f77243,plain,
( ~ spl0_143
| ~ spl0_173
| spl0_256 ),
inference(avatar_contradiction_clause,[],[f77242]) ).
thf(f77242,plain,
( $false
| ~ spl0_143
| ~ spl0_173
| spl0_256 ),
inference(subsumption_resolution,[],[f77241,f19785]) ).
thf(f77241,plain,
( ( $false != vAPP($o,$o,f2,$false) )
| ~ spl0_143
| ~ spl0_173
| spl0_256 ),
inference(forward_demodulation,[],[f77240,f19785]) ).
thf(f77240,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f2,$false)) )
| ~ spl0_143
| ~ spl0_173
| spl0_256 ),
inference(forward_demodulation,[],[f77218,f19785]) ).
thf(f77218,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$false))) )
| ~ spl0_143
| spl0_256 ),
inference(backward_demodulation,[],[f73853,f4461]) ).
thf(f73853,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$true)))) )
| spl0_256 ),
inference(avatar_component_clause,[],[f73851]) ).
thf(f77239,plain,
( ~ spl0_103
| ~ spl0_143
| ~ spl0_173
| spl0_214 ),
inference(avatar_split_clause,[],[f77238,f51432,f19783,f4459,f2413]) ).
thf(f77238,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ~ spl0_143
| ~ spl0_173
| spl0_214 ),
inference(forward_demodulation,[],[f77237,f19785]) ).
thf(f77237,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,$false)) )
| ~ spl0_143
| ~ spl0_173
| spl0_214 ),
inference(forward_demodulation,[],[f77236,f19785]) ).
thf(f77236,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$false))) )
| ~ spl0_143
| ~ spl0_173
| spl0_214 ),
inference(forward_demodulation,[],[f77217,f19785]) ).
thf(f77217,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$false)))) )
| ~ spl0_143
| spl0_214 ),
inference(backward_demodulation,[],[f51433,f4461]) ).
thf(f77235,plain,
( ~ spl0_143
| ~ spl0_166
| ~ spl0_173
| spl0_201 ),
inference(avatar_contradiction_clause,[],[f77234]) ).
thf(f77234,plain,
( $false
| ~ spl0_143
| ~ spl0_166
| ~ spl0_173
| spl0_201 ),
inference(subsumption_resolution,[],[f77233,f7913]) ).
thf(f77233,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,$false)) )
| ~ spl0_143
| ~ spl0_173
| spl0_201 ),
inference(forward_demodulation,[],[f77216,f19785]) ).
thf(f77216,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$false))) )
| ~ spl0_143
| spl0_201 ),
inference(backward_demodulation,[],[f33310,f4461]) ).
thf(f33310,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$true)))) )
| spl0_201 ),
inference(avatar_component_clause,[],[f33309]) ).
thf(f33309,plain,
( spl0_201
<=> ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$true)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_201])]) ).
thf(f77232,plain,
( ~ spl0_103
| ~ spl0_143
| ~ spl0_166
| ~ spl0_173
| spl0_189 ),
inference(avatar_split_clause,[],[f77231,f33057,f19783,f7911,f4459,f2413]) ).
thf(f77231,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ~ spl0_143
| ~ spl0_166
| ~ spl0_173
| spl0_189 ),
inference(forward_demodulation,[],[f77230,f7913]) ).
thf(f77230,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ~ spl0_143
| ~ spl0_173
| spl0_189 ),
inference(forward_demodulation,[],[f77215,f19785]) ).
thf(f77215,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$false)))) )
| ~ spl0_143
| spl0_189 ),
inference(backward_demodulation,[],[f33058,f4461]) ).
thf(f33058,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$true))))) )
| spl0_189 ),
inference(avatar_component_clause,[],[f33057]) ).
thf(f77226,plain,
( spl0_133
| ~ spl0_138
| ~ spl0_143
| ~ spl0_154
| ~ spl0_166
| ~ spl0_173 ),
inference(avatar_contradiction_clause,[],[f77225]) ).
thf(f77225,plain,
( $false
| spl0_133
| ~ spl0_138
| ~ spl0_143
| ~ spl0_154
| ~ spl0_166
| ~ spl0_173 ),
inference(subsumption_resolution,[],[f77224,f5830]) ).
thf(f77224,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| spl0_133
| ~ spl0_138
| ~ spl0_143
| ~ spl0_166
| ~ spl0_173 ),
inference(forward_demodulation,[],[f77223,f7913]) ).
thf(f77223,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| spl0_133
| ~ spl0_138
| ~ spl0_143
| ~ spl0_173 ),
inference(forward_demodulation,[],[f77222,f19785]) ).
thf(f77222,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$false))))) )
| spl0_133
| ~ spl0_138
| ~ spl0_143 ),
inference(forward_demodulation,[],[f77221,f4461]) ).
thf(f77221,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$true)))))) )
| spl0_133
| ~ spl0_138
| ~ spl0_143 ),
inference(forward_demodulation,[],[f77210,f4314]) ).
thf(f77210,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$false))))))) )
| spl0_133
| ~ spl0_143 ),
inference(backward_demodulation,[],[f3276,f4461]) ).
thf(f77199,plain,
( ~ spl0_154
| ~ spl0_270 ),
inference(avatar_contradiction_clause,[],[f77198]) ).
thf(f77198,plain,
( $false
| ~ spl0_154
| ~ spl0_270 ),
inference(trivial_inequality_removal,[],[f77197]) ).
thf(f77197,plain,
( ( $true = $false )
| ~ spl0_154
| ~ spl0_270 ),
inference(backward_demodulation,[],[f76234,f5830]) ).
thf(f77169,plain,
( spl0_157
| ~ spl0_213
| ~ spl0_218 ),
inference(avatar_contradiction_clause,[],[f77168]) ).
thf(f77168,plain,
( $false
| spl0_157
| ~ spl0_213
| ~ spl0_218 ),
inference(subsumption_resolution,[],[f77167,f6227]) ).
thf(f77167,plain,
( ( $false = vAPP($o,$o,f3,$false) )
| ~ spl0_213
| ~ spl0_218 ),
inference(backward_demodulation,[],[f51718,f51429]) ).
thf(f77157,plain,
( ~ spl0_56
| spl0_93
| ~ spl0_173
| ~ spl0_231
| ~ spl0_270 ),
inference(avatar_contradiction_clause,[],[f77156]) ).
thf(f77156,plain,
( $false
| ~ spl0_56
| spl0_93
| ~ spl0_173
| ~ spl0_231
| ~ spl0_270 ),
inference(subsumption_resolution,[],[f77155,f1669]) ).
thf(f77155,plain,
( ( $false = vAPP($o,$o,f0,$false) )
| ~ spl0_56
| ~ spl0_173
| ~ spl0_231
| ~ spl0_270 ),
inference(forward_demodulation,[],[f77154,f486]) ).
thf(f77154,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ~ spl0_173
| ~ spl0_231
| ~ spl0_270 ),
inference(forward_demodulation,[],[f77153,f76234]) ).
thf(f77153,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$false)))) )
| ~ spl0_173
| ~ spl0_231 ),
inference(forward_demodulation,[],[f77152,f19785]) ).
thf(f77152,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$false))))) )
| ~ spl0_173
| ~ spl0_231 ),
inference(forward_demodulation,[],[f77151,f19785]) ).
thf(f77151,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$false)))))) )
| ~ spl0_173
| ~ spl0_231 ),
inference(forward_demodulation,[],[f58908,f19785]) ).
thf(f58908,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$false))))))) )
| ~ spl0_231 ),
inference(avatar_component_clause,[],[f58906]) ).
thf(f77142,plain,
( ~ spl0_56
| spl0_93
| ~ spl0_173
| ~ spl0_247
| ~ spl0_270 ),
inference(avatar_contradiction_clause,[],[f77141]) ).
thf(f77141,plain,
( $false
| ~ spl0_56
| spl0_93
| ~ spl0_173
| ~ spl0_247
| ~ spl0_270 ),
inference(subsumption_resolution,[],[f77140,f1669]) ).
thf(f77140,plain,
( ( $false = vAPP($o,$o,f0,$false) )
| ~ spl0_56
| ~ spl0_173
| ~ spl0_247
| ~ spl0_270 ),
inference(forward_demodulation,[],[f77139,f486]) ).
thf(f77139,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ~ spl0_173
| ~ spl0_247
| ~ spl0_270 ),
inference(forward_demodulation,[],[f77138,f76234]) ).
thf(f77138,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$false)))) )
| ~ spl0_173
| ~ spl0_247 ),
inference(forward_demodulation,[],[f77137,f19785]) ).
thf(f77137,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$false))))) )
| ~ spl0_173
| ~ spl0_247 ),
inference(forward_demodulation,[],[f62146,f19785]) ).
thf(f76878,plain,
( ~ spl0_34
| ~ spl0_56
| spl0_93
| ~ spl0_94
| ~ spl0_104
| ~ spl0_120
| ~ spl0_138
| ~ spl0_172
| ~ spl0_184
| ~ spl0_252 ),
inference(avatar_contradiction_clause,[],[f76877]) ).
thf(f76877,plain,
( $false
| ~ spl0_34
| ~ spl0_56
| spl0_93
| ~ spl0_94
| ~ spl0_104
| ~ spl0_120
| ~ spl0_138
| ~ spl0_172
| ~ spl0_184
| ~ spl0_252 ),
inference(subsumption_resolution,[],[f76876,f1669]) ).
thf(f76876,plain,
( ( $false = vAPP($o,$o,f0,$false) )
| ~ spl0_34
| ~ spl0_56
| ~ spl0_94
| ~ spl0_104
| ~ spl0_120
| ~ spl0_138
| ~ spl0_172
| ~ spl0_184
| ~ spl0_252 ),
inference(forward_demodulation,[],[f76875,f486]) ).
thf(f76875,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ~ spl0_34
| ~ spl0_94
| ~ spl0_104
| ~ spl0_120
| ~ spl0_138
| ~ spl0_172
| ~ spl0_184
| ~ spl0_252 ),
inference(forward_demodulation,[],[f76874,f1676]) ).
thf(f76874,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$false))) )
| ~ spl0_34
| ~ spl0_104
| ~ spl0_120
| ~ spl0_138
| ~ spl0_172
| ~ spl0_184
| ~ spl0_252 ),
inference(forward_demodulation,[],[f76873,f2419]) ).
thf(f76873,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ~ spl0_34
| ~ spl0_120
| ~ spl0_138
| ~ spl0_172
| ~ spl0_184
| ~ spl0_252 ),
inference(forward_demodulation,[],[f76872,f31813]) ).
thf(f76872,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))))) )
| ~ spl0_34
| ~ spl0_120
| ~ spl0_138
| ~ spl0_172
| ~ spl0_184
| ~ spl0_252 ),
inference(forward_demodulation,[],[f76871,f31813]) ).
thf(f76871,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true)))))) )
| ~ spl0_34
| ~ spl0_120
| ~ spl0_138
| ~ spl0_172
| ~ spl0_184
| ~ spl0_252 ),
inference(forward_demodulation,[],[f76870,f31813]) ).
thf(f76870,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))))))) )
| ~ spl0_34
| ~ spl0_120
| ~ spl0_138
| ~ spl0_172
| ~ spl0_252 ),
inference(forward_demodulation,[],[f76869,f4314]) ).
thf(f76869,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$false)))))))) )
| ~ spl0_34
| ~ spl0_120
| ~ spl0_172
| ~ spl0_252 ),
inference(forward_demodulation,[],[f76868,f63781]) ).
thf(f76868,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$false)))))))))) )
| ~ spl0_34
| ~ spl0_120
| ~ spl0_172 ),
inference(forward_demodulation,[],[f76867,f14059]) ).
thf(f76867,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$true))))))))))) )
| ~ spl0_34
| ~ spl0_120 ),
inference(forward_demodulation,[],[f342,f3074]) ).
thf(f76863,plain,
( ~ spl0_36
| ~ spl0_56
| spl0_93
| ~ spl0_94
| ~ spl0_104
| ~ spl0_138
| ~ spl0_172
| ~ spl0_184
| ~ spl0_252 ),
inference(avatar_contradiction_clause,[],[f76862]) ).
thf(f76862,plain,
( $false
| ~ spl0_36
| ~ spl0_56
| spl0_93
| ~ spl0_94
| ~ spl0_104
| ~ spl0_138
| ~ spl0_172
| ~ spl0_184
| ~ spl0_252 ),
inference(subsumption_resolution,[],[f76861,f1669]) ).
thf(f76861,plain,
( ( $false = vAPP($o,$o,f0,$false) )
| ~ spl0_36
| ~ spl0_56
| ~ spl0_94
| ~ spl0_104
| ~ spl0_138
| ~ spl0_172
| ~ spl0_184
| ~ spl0_252 ),
inference(forward_demodulation,[],[f76860,f486]) ).
thf(f76860,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ~ spl0_36
| ~ spl0_94
| ~ spl0_104
| ~ spl0_138
| ~ spl0_172
| ~ spl0_184
| ~ spl0_252 ),
inference(forward_demodulation,[],[f76859,f1676]) ).
thf(f76859,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$false))) )
| ~ spl0_36
| ~ spl0_104
| ~ spl0_138
| ~ spl0_172
| ~ spl0_184
| ~ spl0_252 ),
inference(forward_demodulation,[],[f76858,f2419]) ).
thf(f76858,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ~ spl0_36
| ~ spl0_138
| ~ spl0_172
| ~ spl0_184
| ~ spl0_252 ),
inference(forward_demodulation,[],[f76857,f31813]) ).
thf(f76857,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))))) )
| ~ spl0_36
| ~ spl0_138
| ~ spl0_172
| ~ spl0_184
| ~ spl0_252 ),
inference(forward_demodulation,[],[f76856,f31813]) ).
thf(f76856,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true)))))) )
| ~ spl0_36
| ~ spl0_138
| ~ spl0_172
| ~ spl0_184
| ~ spl0_252 ),
inference(forward_demodulation,[],[f76855,f31813]) ).
thf(f76855,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))))))) )
| ~ spl0_36
| ~ spl0_138
| ~ spl0_172
| ~ spl0_252 ),
inference(forward_demodulation,[],[f76854,f4314]) ).
thf(f76854,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$false)))))))) )
| ~ spl0_36
| ~ spl0_172
| ~ spl0_252 ),
inference(forward_demodulation,[],[f76853,f63781]) ).
thf(f76853,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$false)))))))))) )
| ~ spl0_36
| ~ spl0_172 ),
inference(forward_demodulation,[],[f351,f14059]) ).
thf(f76767,plain,
( ~ spl0_62
| spl0_66
| ~ spl0_94
| ~ spl0_104
| ~ spl0_138
| ~ spl0_172
| ~ spl0_184
| ~ spl0_252 ),
inference(avatar_contradiction_clause,[],[f76766]) ).
thf(f76766,plain,
( $false
| ~ spl0_62
| spl0_66
| ~ spl0_94
| ~ spl0_104
| ~ spl0_138
| ~ spl0_172
| ~ spl0_184
| ~ spl0_252 ),
inference(subsumption_resolution,[],[f76765,f741]) ).
thf(f76765,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| spl0_66
| ~ spl0_94
| ~ spl0_104
| ~ spl0_138
| ~ spl0_172
| ~ spl0_184
| ~ spl0_252 ),
inference(forward_demodulation,[],[f76764,f1676]) ).
thf(f76764,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$false))) )
| spl0_66
| ~ spl0_104
| ~ spl0_138
| ~ spl0_172
| ~ spl0_184
| ~ spl0_252 ),
inference(forward_demodulation,[],[f76763,f2419]) ).
thf(f76763,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| spl0_66
| ~ spl0_138
| ~ spl0_172
| ~ spl0_184
| ~ spl0_252 ),
inference(forward_demodulation,[],[f76762,f31813]) ).
thf(f76762,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))))) )
| spl0_66
| ~ spl0_138
| ~ spl0_172
| ~ spl0_184
| ~ spl0_252 ),
inference(forward_demodulation,[],[f76761,f31813]) ).
thf(f76761,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true)))))) )
| spl0_66
| ~ spl0_138
| ~ spl0_172
| ~ spl0_184
| ~ spl0_252 ),
inference(forward_demodulation,[],[f76760,f31813]) ).
thf(f76760,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))))))) )
| spl0_66
| ~ spl0_138
| ~ spl0_172
| ~ spl0_252 ),
inference(forward_demodulation,[],[f76759,f4314]) ).
thf(f76759,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$false)))))))) )
| spl0_66
| ~ spl0_172
| ~ spl0_252 ),
inference(forward_demodulation,[],[f76758,f63781]) ).
thf(f76758,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$false)))))))))) )
| spl0_66
| ~ spl0_172 ),
inference(forward_demodulation,[],[f839,f14059]) ).
thf(f76682,plain,
( ~ spl0_93
| ~ spl0_103
| spl0_154 ),
inference(avatar_split_clause,[],[f76679,f5828,f2413,f1668]) ).
thf(f76679,plain,
( ( $false != vAPP($o,$o,f0,$false) )
| ~ spl0_103
| spl0_154 ),
inference(backward_demodulation,[],[f5829,f2415]) ).
thf(f76681,plain,
( ~ spl0_93
| ~ spl0_103
| ~ spl0_208
| spl0_239 ),
inference(avatar_split_clause,[],[f76680,f60534,f43352,f2413,f1668]) ).
thf(f76680,plain,
( ( $false != vAPP($o,$o,f0,$false) )
| ~ spl0_103
| ~ spl0_208
| spl0_239 ),
inference(forward_demodulation,[],[f76677,f43354]) ).
thf(f76677,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$false))) )
| ~ spl0_103
| spl0_239 ),
inference(backward_demodulation,[],[f60536,f2415]) ).
thf(f76605,plain,
( ~ spl0_93
| ~ spl0_104
| spl0_136
| ~ spl0_166 ),
inference(avatar_split_clause,[],[f76604,f7911,f4032,f2417,f1668]) ).
thf(f4032,plain,
( spl0_136
<=> ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$true)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).
thf(f76604,plain,
( ( $false != vAPP($o,$o,f0,$false) )
| ~ spl0_104
| spl0_136
| ~ spl0_166 ),
inference(forward_demodulation,[],[f76603,f7913]) ).
thf(f76603,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ~ spl0_104
| spl0_136 ),
inference(forward_demodulation,[],[f4033,f2419]) ).
thf(f4033,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$true)))) )
| spl0_136 ),
inference(avatar_component_clause,[],[f4032]) ).
thf(f76602,plain,
( ~ spl0_102
| spl0_137
| ~ spl0_138
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f76601,f31775,f4312,f4036,f2235]) ).
thf(f76601,plain,
( ( $false != vAPP($o,$o,f2,$true) )
| spl0_137
| ~ spl0_138
| ~ spl0_180 ),
inference(forward_demodulation,[],[f76600,f31777]) ).
thf(f76600,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f3,$true)) )
| spl0_137
| ~ spl0_138
| ~ spl0_180 ),
inference(forward_demodulation,[],[f76599,f31777]) ).
thf(f76599,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$true))) )
| spl0_137
| ~ spl0_138 ),
inference(forward_demodulation,[],[f4037,f4314]) ).
thf(f76598,plain,
( ~ spl0_102
| spl0_141
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f76597,f31775,f4392,f2235]) ).
thf(f76597,plain,
( ( $false != vAPP($o,$o,f2,$true) )
| spl0_141
| ~ spl0_180 ),
inference(forward_demodulation,[],[f4393,f31777]) ).
thf(f4393,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f3,$true)) )
| spl0_141 ),
inference(avatar_component_clause,[],[f4392]) ).
thf(f76552,plain,
( ~ spl0_102
| ~ spl0_138
| ~ spl0_172
| spl0_241 ),
inference(avatar_split_clause,[],[f76551,f60546,f14057,f4312,f2235]) ).
thf(f76551,plain,
( ( $false != vAPP($o,$o,f2,$true) )
| ~ spl0_138
| ~ spl0_172
| spl0_241 ),
inference(forward_demodulation,[],[f76532,f4314]) ).
thf(f76532,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f3,$false)) )
| ~ spl0_172
| spl0_241 ),
inference(backward_demodulation,[],[f60548,f14059]) ).
thf(f76516,plain,
( ~ spl0_102
| spl0_178
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f76515,f31775,f27616,f2235]) ).
thf(f76515,plain,
( ( $false != vAPP($o,$o,f2,$true) )
| spl0_178
| ~ spl0_180 ),
inference(forward_demodulation,[],[f76514,f31777]) ).
thf(f76514,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f3,$true)) )
| spl0_178
| ~ spl0_180 ),
inference(forward_demodulation,[],[f27617,f31777]) ).
thf(f76478,plain,
( ~ spl0_7
| ~ spl0_71
| spl0_85
| ~ spl0_138
| ~ spl0_198
| ~ spl0_208 ),
inference(avatar_contradiction_clause,[],[f76477]) ).
thf(f76477,plain,
( $false
| ~ spl0_7
| ~ spl0_71
| spl0_85
| ~ spl0_138
| ~ spl0_198
| ~ spl0_208 ),
inference(subsumption_resolution,[],[f76470,f43354]) ).
thf(f76470,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,$false)) )
| ~ spl0_7
| ~ spl0_71
| spl0_85
| ~ spl0_138
| ~ spl0_198 ),
inference(backward_demodulation,[],[f75672,f33176]) ).
thf(f75672,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true)))))) )
| ~ spl0_7
| ~ spl0_71
| spl0_85
| ~ spl0_138 ),
inference(forward_demodulation,[],[f75671,f4314]) ).
thf(f75671,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$false))))))) )
| ~ spl0_7
| ~ spl0_71
| spl0_85 ),
inference(forward_demodulation,[],[f73404,f75658]) ).
thf(f75658,plain,
( ( $false = vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$false)))))) )
| ~ spl0_7
| ~ spl0_71 ),
inference(forward_demodulation,[],[f896,f80]) ).
thf(f73404,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$false))))))))))))) )
| ~ spl0_7
| spl0_85 ),
inference(forward_demodulation,[],[f997,f80]) ).
thf(f76476,plain,
( ~ spl0_93
| ~ spl0_7
| ~ spl0_71
| spl0_86
| ~ spl0_138
| ~ spl0_198 ),
inference(avatar_split_clause,[],[f76469,f33174,f4312,f1001,f894,f78,f1668]) ).
thf(f1001,plain,
( spl0_86
<=> ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x))))))))))))) = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).
thf(f76469,plain,
( ( $false != vAPP($o,$o,f0,$false) )
| ~ spl0_7
| ~ spl0_71
| spl0_86
| ~ spl0_138
| ~ spl0_198 ),
inference(backward_demodulation,[],[f75674,f33176]) ).
thf(f75674,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))))) )
| ~ spl0_7
| ~ spl0_71
| spl0_86
| ~ spl0_138 ),
inference(forward_demodulation,[],[f75673,f4314]) ).
thf(f75673,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$false)))))) )
| ~ spl0_7
| ~ spl0_71
| spl0_86 ),
inference(forward_demodulation,[],[f72200,f75658]) ).
thf(f72200,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$false)))))))))))) )
| ~ spl0_7
| spl0_86 ),
inference(forward_demodulation,[],[f1002,f80]) ).
thf(f1002,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x))))))))))))) != $false )
| spl0_86 ),
inference(avatar_component_clause,[],[f1001]) ).
thf(f76475,plain,
( ~ spl0_93
| spl0_45
| ~ spl0_198
| ~ spl0_208 ),
inference(avatar_split_clause,[],[f76474,f43352,f33174,f419,f1668]) ).
thf(f76474,plain,
( ( $false != vAPP($o,$o,f0,$false) )
| spl0_45
| ~ spl0_198
| ~ spl0_208 ),
inference(forward_demodulation,[],[f76468,f43354]) ).
thf(f76468,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$false))) )
| spl0_45
| ~ spl0_198 ),
inference(backward_demodulation,[],[f420,f33176]) ).
thf(f76473,plain,
( spl0_94
| ~ spl0_74
| ~ spl0_198
| ~ spl0_208 ),
inference(avatar_split_clause,[],[f76472,f43352,f33174,f916,f1674]) ).
thf(f76472,plain,
( ( $true = vAPP($o,$o,f0,$false) )
| ~ spl0_74
| ~ spl0_198
| ~ spl0_208 ),
inference(forward_demodulation,[],[f76467,f43354]) ).
thf(f76467,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$false))) )
| ~ spl0_74
| ~ spl0_198 ),
inference(backward_demodulation,[],[f918,f33176]) ).
thf(f76465,plain,
( ~ spl0_99
| ~ spl0_173
| spl0_204 ),
inference(avatar_split_clause,[],[f76464,f36851,f19783,f2163]) ).
thf(f36851,plain,
( spl0_204
<=> ( $true = vAPP($o,$o,f1,vAPP($o,$o,f2,$false)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_204])]) ).
thf(f76464,plain,
( ( $true != vAPP($o,$o,f1,$false) )
| ~ spl0_173
| spl0_204 ),
inference(forward_demodulation,[],[f36852,f19785]) ).
thf(f36852,plain,
( ( $true != vAPP($o,$o,f1,vAPP($o,$o,f2,$false)) )
| spl0_204 ),
inference(avatar_component_clause,[],[f36851]) ).
thf(f76463,plain,
( spl0_103
| ~ spl0_173
| ~ spl0_207
| ~ spl0_218
| ~ spl0_252 ),
inference(avatar_split_clause,[],[f76462,f63779,f51716,f43348,f19783,f2413]) ).
thf(f76462,plain,
( ( $false = vAPP($o,$o,f1,$false) )
| ~ spl0_173
| ~ spl0_207
| ~ spl0_218
| ~ spl0_252 ),
inference(forward_demodulation,[],[f76461,f19785]) ).
thf(f76461,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,$false)) )
| ~ spl0_173
| ~ spl0_207
| ~ spl0_218
| ~ spl0_252 ),
inference(forward_demodulation,[],[f76460,f19785]) ).
thf(f76460,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$false))) )
| ~ spl0_173
| ~ spl0_207
| ~ spl0_218
| ~ spl0_252 ),
inference(forward_demodulation,[],[f76459,f19785]) ).
thf(f76459,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$false)))) )
| ~ spl0_207
| ~ spl0_218
| ~ spl0_252 ),
inference(forward_demodulation,[],[f43350,f76438]) ).
thf(f76438,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,$false)) )
| ~ spl0_218
| ~ spl0_252 ),
inference(forward_demodulation,[],[f51718,f63781]) ).
thf(f76453,plain,
( spl0_198
| ~ spl0_180
| ~ spl0_214 ),
inference(avatar_split_clause,[],[f76452,f51432,f31775,f33174]) ).
thf(f76452,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true)))) )
| ~ spl0_180
| ~ spl0_214 ),
inference(forward_demodulation,[],[f51434,f31777]) ).
thf(f76400,plain,
( spl0_172
| ~ spl0_45
| spl0_41
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f76399,f31775,f388,f419,f14057]) ).
thf(f76399,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))))))) )
| ( $false = vAPP($o,$o,f4,$true) )
| spl0_41
| ~ spl0_180 ),
inference(forward_demodulation,[],[f66980,f31777]) ).
thf(f76397,plain,
( spl0_172
| spl0_74
| ~ spl0_70
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f76396,f31775,f879,f916,f14057]) ).
thf(f76396,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))))))) )
| ( $false = vAPP($o,$o,f4,$true) )
| ~ spl0_70
| ~ spl0_180 ),
inference(forward_demodulation,[],[f67578,f31777]) ).
thf(f67578,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$true)))))))) )
| ( $false = vAPP($o,$o,f4,$true) )
| ~ spl0_70 ),
inference(superposition,[],[f881,f4]) ).
thf(f76391,plain,
( spl0_232
| ~ spl0_7
| ~ spl0_21
| ~ spl0_110
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f76389,f3119,f2651,f141,f78,f59593]) ).
thf(f76389,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$true)))) )
| ~ spl0_7
| ~ spl0_21
| ~ spl0_110
| ~ spl0_125 ),
inference(backward_demodulation,[],[f76058,f3121]) ).
thf(f76058,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$true)))))) )
| ~ spl0_7
| ~ spl0_21
| ~ spl0_110 ),
inference(forward_demodulation,[],[f76057,f2653]) ).
thf(f76057,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$false))))))) )
| ~ spl0_7
| ~ spl0_21 ),
inference(forward_demodulation,[],[f143,f80]) ).
thf(f76329,plain,
( ~ spl0_56
| spl0_57
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f75664,f503,f490,f484]) ).
thf(f490,plain,
( spl0_57
<=> ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,$false)))))))))))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
thf(f503,plain,
( spl0_59
<=> ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,$false))))))))))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
thf(f75664,plain,
( ( $false != vAPP($o,$o,f0,$true) )
| spl0_57
| ~ spl0_59 ),
inference(forward_demodulation,[],[f491,f505]) ).
thf(f505,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,$false))))))))))))) )
| ~ spl0_59 ),
inference(avatar_component_clause,[],[f503]) ).
thf(f491,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,$false)))))))))))))) )
| spl0_57 ),
inference(avatar_component_clause,[],[f490]) ).
thf(f76327,plain,
( spl0_268
| ~ spl0_53
| spl0_41 ),
inference(avatar_split_clause,[],[f66991,f388,f469,f76187]) ).
thf(f469,plain,
( spl0_53
<=> ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
thf(f66991,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true)))))) )
| spl0_41 ),
inference(superposition,[],[f389,f4]) ).
thf(f76288,plain,
( spl0_30
| spl0_267
| ~ spl0_68
| ~ spl0_173
| ~ spl0_212 ),
inference(avatar_split_clause,[],[f76287,f51270,f19783,f859,f76173,f181]) ).
thf(f76287,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$false))) )
| ( $true = vAPP($o,$o,f0,$true) )
| ~ spl0_68
| ~ spl0_173
| ~ spl0_212 ),
inference(forward_demodulation,[],[f76286,f19785]) ).
thf(f76286,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$false)))) )
| ( $true = vAPP($o,$o,f0,$true) )
| ~ spl0_68
| ~ spl0_173
| ~ spl0_212 ),
inference(forward_demodulation,[],[f76285,f19785]) ).
thf(f76285,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$false))))) )
| ( $true = vAPP($o,$o,f0,$true) )
| ~ spl0_68
| ~ spl0_173
| ~ spl0_212 ),
inference(forward_demodulation,[],[f76284,f19785]) ).
thf(f76284,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$false)))))) )
| ( $true = vAPP($o,$o,f0,$true) )
| ~ spl0_68
| ~ spl0_212 ),
inference(forward_demodulation,[],[f67386,f51271]) ).
thf(f67386,plain,
( ( $true = vAPP($o,$o,f0,$true) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$true))))))))) )
| ~ spl0_68 ),
inference(superposition,[],[f861,f4]) ).
thf(f76200,plain,
( spl0_268
| spl0_82
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f67597,f879,f978,f76187]) ).
thf(f67597,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true)))))) )
| ~ spl0_70 ),
inference(superposition,[],[f881,f4]) ).
thf(f75854,plain,
( spl0_102
| ~ spl0_137
| ~ spl0_138
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f75853,f31775,f4312,f4036,f2235]) ).
thf(f75853,plain,
( ( $false = vAPP($o,$o,f2,$true) )
| ~ spl0_137
| ~ spl0_138
| ~ spl0_180 ),
inference(forward_demodulation,[],[f75852,f31777]) ).
thf(f75852,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,$true)) )
| ~ spl0_137
| ~ spl0_138
| ~ spl0_180 ),
inference(forward_demodulation,[],[f75851,f31777]) ).
thf(f75851,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$true))) )
| ~ spl0_137
| ~ spl0_138 ),
inference(forward_demodulation,[],[f4038,f4314]) ).
thf(f4038,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$false)))) )
| ~ spl0_137 ),
inference(avatar_component_clause,[],[f4036]) ).
thf(f75847,plain,
( ~ spl0_103
| ~ spl0_144
| spl0_197 ),
inference(avatar_split_clause,[],[f75845,f33151,f4476,f2413]) ).
thf(f4476,plain,
( spl0_144
<=> ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,$true)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).
thf(f75845,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ~ spl0_144
| spl0_197 ),
inference(backward_demodulation,[],[f33152,f4477]) ).
thf(f4477,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,$true)) )
| ~ spl0_144 ),
inference(avatar_component_clause,[],[f4476]) ).
thf(f75841,plain,
( spl0_144
| ~ spl0_138
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f75840,f4612,f4312,f4476]) ).
thf(f75840,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,$true)) )
| ~ spl0_138
| ~ spl0_145 ),
inference(forward_demodulation,[],[f4614,f4314]) ).
thf(f75829,plain,
( ~ spl0_103
| spl0_152
| ~ spl0_153 ),
inference(avatar_split_clause,[],[f75828,f5389,f5204,f2413]) ).
thf(f5204,plain,
( spl0_152
<=> ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,$false)))))))))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).
thf(f75828,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| spl0_152
| ~ spl0_153 ),
inference(forward_demodulation,[],[f5205,f5391]) ).
thf(f5391,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,$false))))))))))) )
| ~ spl0_153 ),
inference(avatar_component_clause,[],[f5389]) ).
thf(f5205,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,$false)))))))))))) )
| spl0_152 ),
inference(avatar_component_clause,[],[f5204]) ).
thf(f75789,plain,
( ~ spl0_103
| ~ spl0_177
| spl0_198 ),
inference(avatar_split_clause,[],[f75785,f33174,f27612,f2413]) ).
thf(f75785,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ~ spl0_177
| spl0_198 ),
inference(backward_demodulation,[],[f33175,f27614]) ).
thf(f27614,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))) )
| ~ spl0_177 ),
inference(avatar_component_clause,[],[f27612]) ).
thf(f75751,plain,
( ~ spl0_198
| ~ spl0_180
| spl0_214 ),
inference(avatar_split_clause,[],[f75750,f51432,f31775,f33174]) ).
thf(f75750,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true)))) )
| ~ spl0_180
| spl0_214 ),
inference(forward_demodulation,[],[f51433,f31777]) ).
thf(f75743,plain,
( ~ spl0_139
| ~ spl0_222
| spl0_240 ),
inference(avatar_split_clause,[],[f75725,f60539,f51737,f4316]) ).
thf(f75725,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f2,$false)) )
| ~ spl0_222
| spl0_240 ),
inference(backward_demodulation,[],[f60541,f51739]) ).
thf(f75715,plain,
( spl0_102
| ~ spl0_238
| ~ spl0_242 ),
inference(avatar_split_clause,[],[f75714,f60635,f60530,f2235]) ).
thf(f75714,plain,
( ( $false = vAPP($o,$o,f2,$true) )
| ~ spl0_238
| ~ spl0_242 ),
inference(forward_demodulation,[],[f60637,f60531]) ).
thf(f75423,plain,
( spl0_259
| ~ spl0_51
| spl0_39 ),
inference(avatar_split_clause,[],[f67124,f371,f458,f74525]) ).
thf(f458,plain,
( spl0_51
<=> ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
thf(f67124,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$true)))))) )
| spl0_39 ),
inference(superposition,[],[f372,f4]) ).
thf(f75421,plain,
( spl0_242
| spl0_80
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f67593,f879,f964,f60635]) ).
thf(f67593,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))))) )
| ~ spl0_70 ),
inference(superposition,[],[f881,f4]) ).
thf(f75420,plain,
( spl0_242
| ~ spl0_51
| spl0_41 ),
inference(avatar_split_clause,[],[f66988,f388,f458,f60635]) ).
thf(f66988,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))))) )
| spl0_41 ),
inference(superposition,[],[f389,f4]) ).
thf(f75239,plain,
( spl0_173
| ~ spl0_240
| ~ spl0_242 ),
inference(avatar_contradiction_clause,[],[f75238]) ).
thf(f75238,plain,
( $false
| spl0_173
| ~ spl0_240
| ~ spl0_242 ),
inference(subsumption_resolution,[],[f75237,f19784]) ).
thf(f75237,plain,
( ( $false = vAPP($o,$o,f2,$false) )
| ~ spl0_240
| ~ spl0_242 ),
inference(backward_demodulation,[],[f60637,f60540]) ).
thf(f75174,plain,
( ~ spl0_229
| ~ spl0_46
| spl0_58 ),
inference(avatar_split_clause,[],[f75003,f495,f429,f58810]) ).
thf(f429,plain,
( spl0_46
<=> ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,$false))))))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
thf(f495,plain,
( spl0_58
<=> ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,$false))))))))))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
thf(f75003,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$false)))) )
| ~ spl0_46
| spl0_58 ),
inference(forward_demodulation,[],[f496,f431]) ).
thf(f431,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,$false))))))))) )
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f429]) ).
thf(f496,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,$false))))))))))))) )
| spl0_58 ),
inference(avatar_component_clause,[],[f495]) ).
thf(f75168,plain,
( ~ spl0_36
| spl0_247
| ~ spl0_263 ),
inference(avatar_contradiction_clause,[],[f75167]) ).
thf(f75167,plain,
( $false
| ~ spl0_36
| spl0_247
| ~ spl0_263 ),
inference(subsumption_resolution,[],[f75046,f62145]) ).
thf(f75046,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$false)))))) )
| ~ spl0_36
| ~ spl0_263 ),
inference(backward_demodulation,[],[f351,f74569]) ).
thf(f75017,plain,
( spl0_263
| ~ spl0_7
| ~ spl0_31
| ~ spl0_75
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f75016,f2651,f929,f327,f78,f74567]) ).
thf(f327,plain,
( spl0_31
<=> ( $false = vAPP($o,$o,f6,vAPP($o,$o,f6,$false)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
thf(f75016,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$true))))) )
| ~ spl0_7
| ~ spl0_31
| ~ spl0_75
| ~ spl0_110 ),
inference(forward_demodulation,[],[f75012,f2653]) ).
thf(f75012,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,$false)))))) )
| ~ spl0_7
| ~ spl0_31
| ~ spl0_75 ),
inference(backward_demodulation,[],[f74828,f329]) ).
thf(f329,plain,
( ( $false = vAPP($o,$o,f6,vAPP($o,$o,f6,$false)) )
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f327]) ).
thf(f74828,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$false)))))))) )
| ~ spl0_7
| ~ spl0_75 ),
inference(forward_demodulation,[],[f931,f80]) ).
thf(f74708,plain,
( ~ spl0_260
| ~ spl0_103
| spl0_239 ),
inference(avatar_split_clause,[],[f74707,f60534,f2413,f74533]) ).
thf(f74707,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$false))) )
| ~ spl0_103
| spl0_239 ),
inference(forward_demodulation,[],[f60536,f2415]) ).
thf(f74653,plain,
( spl0_211
| ~ spl0_111
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f74249,f14053,f2659,f47486]) ).
thf(f74249,plain,
( ( $false = vAPP($o,$o,f4,$false) )
| ~ spl0_111
| ~ spl0_171 ),
inference(backward_demodulation,[],[f14055,f2661]) ).
thf(f74628,plain,
( spl0_254
| ~ spl0_49
| spl0_39 ),
inference(avatar_split_clause,[],[f67121,f371,f446,f73779]) ).
thf(f446,plain,
( spl0_49
<=> ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
thf(f67121,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))))) )
| ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$true))))) )
| spl0_39 ),
inference(superposition,[],[f372,f4]) ).
thf(f74619,plain,
( spl0_222
| spl0_74
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f67581,f879,f916,f51737]) ).
thf(f67581,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))))))) )
| ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,$true)) )
| ~ spl0_70 ),
inference(superposition,[],[f881,f4]) ).
thf(f74618,plain,
( spl0_222
| ~ spl0_45
| spl0_41 ),
inference(avatar_split_clause,[],[f66982,f388,f419,f51737]) ).
thf(f66982,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))))))) )
| ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,$true)) )
| spl0_41 ),
inference(superposition,[],[f389,f4]) ).
thf(f74617,plain,
( spl0_240
| spl0_78
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f67589,f879,f949,f60539]) ).
thf(f949,plain,
( spl0_78
<=> ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
thf(f67589,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))))) )
| ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true)))) )
| ~ spl0_70 ),
inference(superposition,[],[f881,f4]) ).
thf(f74615,plain,
( spl0_241
| spl0_76
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f67585,f879,f933,f60546]) ).
thf(f67585,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true)))))) )
| ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))) )
| ~ spl0_70 ),
inference(superposition,[],[f881,f4]) ).
thf(f74614,plain,
( spl0_22
| ~ spl0_18
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f74359,f31775,f127,f145]) ).
thf(f127,plain,
( spl0_18
<=> ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$true))))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
thf(f74359,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))))) )
| ~ spl0_18
| ~ spl0_180 ),
inference(forward_demodulation,[],[f74342,f31777]) ).
thf(f74342,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$true)))))) )
| ~ spl0_18
| ~ spl0_180 ),
inference(backward_demodulation,[],[f129,f31777]) ).
thf(f129,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$true))))))) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f127]) ).
thf(f74612,plain,
( ~ spl0_45
| spl0_43
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f74344,f31775,f404,f419]) ).
thf(f74344,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))))))) )
| spl0_43
| ~ spl0_180 ),
inference(backward_demodulation,[],[f405,f31777]) ).
thf(f405,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$true)))))))) )
| spl0_43 ),
inference(avatar_component_clause,[],[f404]) ).
thf(f74611,plain,
( spl0_74
| ~ spl0_72
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f74345,f31775,f898,f916]) ).
thf(f74345,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))))))) )
| ~ spl0_72
| ~ spl0_180 ),
inference(backward_demodulation,[],[f900,f31777]) ).
thf(f74609,plain,
( ~ spl0_158
| spl0_156
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f74384,f31775,f6222,f6236]) ).
thf(f74384,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))))) )
| spl0_156
| ~ spl0_180 ),
inference(forward_demodulation,[],[f74348,f31777]) ).
thf(f74348,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$true)))))) )
| spl0_156
| ~ spl0_180 ),
inference(backward_demodulation,[],[f6223,f31777]) ).
thf(f74606,plain,
( ~ spl0_158
| spl0_133
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f74416,f31775,f3275,f6236]) ).
thf(f74416,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))))) )
| spl0_133
| ~ spl0_180 ),
inference(forward_demodulation,[],[f74415,f31777]) ).
thf(f74415,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$true)))))) )
| spl0_133
| ~ spl0_180 ),
inference(forward_demodulation,[],[f74414,f31777]) ).
thf(f74414,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$true))))))) )
| spl0_133
| ~ spl0_180 ),
inference(forward_demodulation,[],[f3276,f31777]) ).
thf(f74605,plain,
( spl0_22
| ~ spl0_16
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f74441,f31775,f118,f145]) ).
thf(f74441,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))))) )
| ~ spl0_16
| ~ spl0_180 ),
inference(forward_demodulation,[],[f74440,f31777]) ).
thf(f74440,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$true)))))) )
| ~ spl0_16
| ~ spl0_180 ),
inference(forward_demodulation,[],[f74439,f31777]) ).
thf(f74439,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$true))))))) )
| ~ spl0_16
| ~ spl0_180 ),
inference(forward_demodulation,[],[f120,f31777]) ).
thf(f74528,plain,
( ~ spl0_259
| spl0_88
| ~ spl0_68
| ~ spl0_103 ),
inference(avatar_split_clause,[],[f67374,f2413,f859,f1019,f74525]) ).
thf(f1019,plain,
( spl0_88
<=> ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$false))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).
thf(f67374,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$false))) )
| ( $false != vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$true)))))) )
| ~ spl0_68
| ~ spl0_103 ),
inference(constrained_superposition,[],[f861,f2415]) ).
thf(f74298,plain,
( spl0_141
| ~ spl0_7
| ~ spl0_17
| ~ spl0_23
| ~ spl0_110
| ~ spl0_138 ),
inference(avatar_split_clause,[],[f74297,f4312,f2651,f150,f123,f78,f4392]) ).
thf(f74297,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,$true)) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_23
| ~ spl0_110
| ~ spl0_138 ),
inference(forward_demodulation,[],[f73506,f4314]) ).
thf(f73506,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$false))) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_23
| ~ spl0_110 ),
inference(forward_demodulation,[],[f73453,f73458]) ).
thf(f73458,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$true)))) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_110 ),
inference(forward_demodulation,[],[f73457,f2653]) ).
thf(f73457,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$false))))) )
| ~ spl0_7
| ~ spl0_17 ),
inference(forward_demodulation,[],[f125,f80]) ).
thf(f73453,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$true))))))) )
| ~ spl0_7
| ~ spl0_23
| ~ spl0_110 ),
inference(forward_demodulation,[],[f73452,f2653]) ).
thf(f73452,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$false)))))))) )
| ~ spl0_7
| ~ spl0_23 ),
inference(forward_demodulation,[],[f152,f80]) ).
thf(f74178,plain,
( ~ spl0_138
| ~ spl0_140
| ~ spl0_150
| ~ spl0_184
| ~ spl0_211
| spl0_225 ),
inference(avatar_contradiction_clause,[],[f74177]) ).
thf(f74177,plain,
( $false
| ~ spl0_138
| ~ spl0_140
| ~ spl0_150
| ~ spl0_184
| ~ spl0_211
| spl0_225 ),
inference(subsumption_resolution,[],[f74176,f5115]) ).
thf(f74176,plain,
( ( $true != vAPP($o,$o,f1,$true) )
| ~ spl0_138
| ~ spl0_140
| ~ spl0_150
| ~ spl0_184
| ~ spl0_211
| spl0_225 ),
inference(forward_demodulation,[],[f74175,f5115]) ).
thf(f74175,plain,
( ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) )
| ~ spl0_138
| ~ spl0_140
| ~ spl0_150
| ~ spl0_184
| ~ spl0_211
| spl0_225 ),
inference(forward_demodulation,[],[f74174,f5115]) ).
thf(f74174,plain,
( ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) )
| ~ spl0_138
| ~ spl0_140
| ~ spl0_184
| ~ spl0_211
| spl0_225 ),
inference(forward_demodulation,[],[f74167,f31813]) ).
thf(f74167,plain,
( ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$true)))) )
| ~ spl0_138
| ~ spl0_140
| ~ spl0_211
| spl0_225 ),
inference(backward_demodulation,[],[f66204,f4314]) ).
thf(f66204,plain,
( ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$false))))) )
| ~ spl0_140
| ~ spl0_211
| spl0_225 ),
inference(forward_demodulation,[],[f65997,f4390]) ).
thf(f65997,plain,
( ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$false))))))) )
| ~ spl0_211
| spl0_225 ),
inference(backward_demodulation,[],[f58633,f47488]) ).
thf(f58633,plain,
( ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))))))) )
| spl0_225 ),
inference(avatar_component_clause,[],[f58632]) ).
thf(f74100,plain,
( ~ spl0_157
| ~ spl0_211
| spl0_218 ),
inference(avatar_split_clause,[],[f74099,f51716,f47486,f6226]) ).
thf(f74099,plain,
( ( $false != vAPP($o,$o,f3,$false) )
| ~ spl0_211
| spl0_218 ),
inference(forward_demodulation,[],[f74098,f47488]) ).
thf(f74098,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,$false)) )
| ~ spl0_211
| spl0_218 ),
inference(forward_demodulation,[],[f74097,f47488]) ).
thf(f74097,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$false))) )
| ~ spl0_211
| spl0_218 ),
inference(forward_demodulation,[],[f51717,f47488]) ).
thf(f74090,plain,
( ~ spl0_173
| ~ spl0_7
| ~ spl0_31
| spl0_75
| ~ spl0_110
| ~ spl0_219 ),
inference(avatar_split_clause,[],[f74085,f51722,f2651,f929,f327,f78,f19783]) ).
thf(f74085,plain,
( ( $false != vAPP($o,$o,f2,$false) )
| ~ spl0_7
| ~ spl0_31
| spl0_75
| ~ spl0_110
| ~ spl0_219 ),
inference(backward_demodulation,[],[f72582,f51724]) ).
thf(f72582,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$true))))) )
| ~ spl0_7
| ~ spl0_31
| spl0_75
| ~ spl0_110 ),
inference(forward_demodulation,[],[f72574,f2653]) ).
thf(f72574,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,$false)))))) )
| ~ spl0_7
| ~ spl0_31
| spl0_75 ),
inference(backward_demodulation,[],[f68903,f329]) ).
thf(f68903,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$false)))))))) )
| ~ spl0_7
| spl0_75 ),
inference(forward_demodulation,[],[f930,f80]) ).
thf(f74084,plain,
( spl0_173
| ~ spl0_222
| ~ spl0_241 ),
inference(avatar_split_clause,[],[f74079,f60546,f51737,f19783]) ).
thf(f74079,plain,
( ( $false = vAPP($o,$o,f2,$false) )
| ~ spl0_222
| ~ spl0_241 ),
inference(backward_demodulation,[],[f60547,f51739]) ).
thf(f74073,plain,
( spl0_173
| ~ spl0_240
| ~ spl0_241 ),
inference(avatar_split_clause,[],[f74072,f60546,f60539,f19783]) ).
thf(f74072,plain,
( ( $false = vAPP($o,$o,f2,$false) )
| ~ spl0_240
| ~ spl0_241 ),
inference(forward_demodulation,[],[f60540,f60547]) ).
thf(f74062,plain,
( ~ spl0_139
| ~ spl0_241
| spl0_242 ),
inference(avatar_split_clause,[],[f74046,f60635,f60546,f4316]) ).
thf(f74046,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f2,$false)) )
| ~ spl0_241
| spl0_242 ),
inference(backward_demodulation,[],[f60636,f60547]) ).
thf(f74020,plain,
( ~ spl0_241
| ~ spl0_7
| ~ spl0_31
| spl0_75
| ~ spl0_110
| spl0_244 ),
inference(avatar_split_clause,[],[f74019,f61451,f2651,f929,f327,f78,f60546]) ).
thf(f74019,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))) )
| ~ spl0_7
| ~ spl0_31
| spl0_75
| ~ spl0_110
| spl0_244 ),
inference(subsumption_resolution,[],[f72754,f61452]) ).
thf(f72754,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))) )
| ( $false = vAPP($o,$o,f4,vAPP($o,$o,f4,$true)) )
| ~ spl0_7
| ~ spl0_31
| spl0_75
| ~ spl0_110 ),
inference(superposition,[],[f72582,f4]) ).
thf(f73988,plain,
( ~ spl0_242
| ~ spl0_7
| ~ spl0_31
| spl0_79
| ~ spl0_110
| spl0_244 ),
inference(avatar_split_clause,[],[f72954,f61451,f2651,f960,f327,f78,f60635]) ).
thf(f72954,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))))) )
| ~ spl0_7
| ~ spl0_31
| spl0_79
| ~ spl0_110
| spl0_244 ),
inference(subsumption_resolution,[],[f72907,f61452]) ).
thf(f72907,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))))) )
| ( $false = vAPP($o,$o,f4,vAPP($o,$o,f4,$true)) )
| ~ spl0_7
| ~ spl0_31
| spl0_79
| ~ spl0_110 ),
inference(superposition,[],[f72584,f4]) ).
thf(f72584,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$true))))))) )
| ~ spl0_7
| ~ spl0_31
| spl0_79
| ~ spl0_110 ),
inference(forward_demodulation,[],[f72576,f2653]) ).
thf(f72576,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,$false)))))))) )
| ~ spl0_7
| ~ spl0_31
| spl0_79 ),
inference(backward_demodulation,[],[f70406,f329]) ).
thf(f70406,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$false)))))))))) )
| ~ spl0_7
| spl0_79 ),
inference(forward_demodulation,[],[f961,f80]) ).
thf(f73952,plain,
( spl0_222
| ~ spl0_7
| ~ spl0_17
| ~ spl0_110
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f73551,f3119,f2651,f123,f78,f51737]) ).
thf(f73551,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,$true)) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_110
| ~ spl0_125 ),
inference(backward_demodulation,[],[f73458,f3121]) ).
thf(f73951,plain,
( ~ spl0_219
| ~ spl0_7
| ~ spl0_31
| spl0_73
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f72581,f2651,f912,f327,f78,f51722]) ).
thf(f72581,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$true)))) )
| ~ spl0_7
| ~ spl0_31
| spl0_73
| ~ spl0_110 ),
inference(forward_demodulation,[],[f72573,f2653]) ).
thf(f72573,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,$false))))) )
| ~ spl0_7
| ~ spl0_31
| spl0_73 ),
inference(backward_demodulation,[],[f68581,f329]) ).
thf(f68581,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$false))))))) )
| ~ spl0_7
| spl0_73 ),
inference(forward_demodulation,[],[f913,f80]) ).
thf(f73870,plain,
( spl0_72
| ~ spl0_70
| spl0_172 ),
inference(avatar_split_clause,[],[f67649,f14057,f879,f898]) ).
thf(f67649,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$true)))))))) )
| ~ spl0_70
| spl0_172 ),
inference(subsumption_resolution,[],[f67578,f14058]) ).
thf(f73776,plain,
( spl0_173
| ~ spl0_7
| ~ spl0_17
| ~ spl0_23
| ~ spl0_110
| ~ spl0_140 ),
inference(avatar_split_clause,[],[f73775,f4388,f2651,f150,f123,f78,f19783]) ).
thf(f73775,plain,
( ( $false = vAPP($o,$o,f2,$false) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_23
| ~ spl0_110
| ~ spl0_140 ),
inference(backward_demodulation,[],[f73506,f4390]) ).
thf(f73638,plain,
( ~ spl0_111
| ~ spl0_105
| spl0_114
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f73637,f9124,f2853,f2566,f2659]) ).
thf(f73637,plain,
( ( $false != vAPP($o,$o,f5,$true) )
| ~ spl0_105
| spl0_114
| ~ spl0_168 ),
inference(forward_demodulation,[],[f73636,f2568]) ).
thf(f73636,plain,
( ( $false != vAPP($o,$o,f5,vAPP($o,$o,f6,$false)) )
| spl0_114
| ~ spl0_168 ),
inference(forward_demodulation,[],[f2855,f9125]) ).
thf(f2855,plain,
( ( $false != vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$true))) )
| spl0_114 ),
inference(avatar_component_clause,[],[f2853]) ).
thf(f73571,plain,
( ~ spl0_157
| ~ spl0_173
| ~ spl0_211
| spl0_215 ),
inference(avatar_contradiction_clause,[],[f73570]) ).
thf(f73570,plain,
( $false
| ~ spl0_157
| ~ spl0_173
| ~ spl0_211
| spl0_215 ),
inference(subsumption_resolution,[],[f73569,f19785]) ).
thf(f73569,plain,
( ( $false != vAPP($o,$o,f2,$false) )
| ~ spl0_157
| ~ spl0_173
| ~ spl0_211
| spl0_215 ),
inference(forward_demodulation,[],[f73568,f19785]) ).
thf(f73568,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f2,$false)) )
| ~ spl0_157
| ~ spl0_211
| spl0_215 ),
inference(forward_demodulation,[],[f73567,f6228]) ).
thf(f73567,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$false))) )
| ~ spl0_211
| spl0_215 ),
inference(forward_demodulation,[],[f51703,f47488]) ).
thf(f73504,plain,
( spl0_130
| ~ spl0_4
| ~ spl0_7
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f73473,f2651,f78,f23,f3151]) ).
thf(f73473,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$true))))))))))) )
| ~ spl0_4
| ~ spl0_7
| ~ spl0_110 ),
inference(forward_demodulation,[],[f73472,f2653]) ).
thf(f73472,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$false)))))))))))) )
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f25,f80]) ).
thf(f73462,plain,
( ~ spl0_7
| ~ spl0_17
| ~ spl0_110
| ~ spl0_111
| spl0_222 ),
inference(avatar_contradiction_clause,[],[f73461]) ).
thf(f73461,plain,
( $false
| ~ spl0_7
| ~ spl0_17
| ~ spl0_110
| ~ spl0_111
| spl0_222 ),
inference(subsumption_resolution,[],[f73460,f51738]) ).
thf(f73460,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,$true)) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_110
| ~ spl0_111 ),
inference(forward_demodulation,[],[f73459,f2653]) ).
thf(f73459,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$false))) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_110
| ~ spl0_111 ),
inference(forward_demodulation,[],[f73458,f2661]) ).
thf(f73383,plain,
( spl0_132
| ~ spl0_110
| ~ spl0_111
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f73382,f3151,f2659,f2651,f3269]) ).
thf(f73382,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))))))))) )
| ~ spl0_110
| ~ spl0_111
| ~ spl0_130 ),
inference(forward_demodulation,[],[f73381,f2653]) ).
thf(f73381,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$false)))))))))) )
| ~ spl0_111
| ~ spl0_130 ),
inference(forward_demodulation,[],[f3153,f2661]) ).
thf(f69455,plain,
( spl0_238
| spl0_240 ),
inference(avatar_contradiction_clause,[],[f69454]) ).
thf(f69454,plain,
( $false
| spl0_238
| spl0_240 ),
inference(subsumption_resolution,[],[f69409,f60541]) ).
thf(f69409,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true)))) )
| spl0_238 ),
inference(trivial_inequality_removal,[],[f69408]) ).
thf(f69408,plain,
( ( $true != $true )
| ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true)))) )
| spl0_238 ),
inference(superposition,[],[f60532,f4]) ).
thf(f60532,plain,
( ( $true != vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true)))) )
| spl0_238 ),
inference(avatar_component_clause,[],[f60530]) ).
thf(f69447,plain,
( ~ spl0_184
| spl0_238
| spl0_241 ),
inference(avatar_contradiction_clause,[],[f69446]) ).
thf(f69446,plain,
( $false
| ~ spl0_184
| spl0_238
| spl0_241 ),
inference(subsumption_resolution,[],[f69445,f60548]) ).
thf(f69445,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))) )
| ~ spl0_184
| spl0_238 ),
inference(subsumption_resolution,[],[f69403,f31813]) ).
thf(f69403,plain,
( ( $true != vAPP($o,$o,f2,$true) )
| ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))) )
| spl0_238 ),
inference(superposition,[],[f60532,f4]) ).
thf(f69435,plain,
( ~ spl0_184
| spl0_222
| spl0_238 ),
inference(avatar_contradiction_clause,[],[f69434]) ).
thf(f69434,plain,
( $false
| ~ spl0_184
| spl0_222
| spl0_238 ),
inference(subsumption_resolution,[],[f69433,f31813]) ).
thf(f69433,plain,
( ( $true != vAPP($o,$o,f2,$true) )
| ~ spl0_184
| spl0_222
| spl0_238 ),
inference(forward_demodulation,[],[f69432,f31813]) ).
thf(f69432,plain,
( ( $true != vAPP($o,$o,f2,vAPP($o,$o,f2,$true)) )
| spl0_222
| spl0_238 ),
inference(subsumption_resolution,[],[f69398,f51738]) ).
thf(f69398,plain,
( ( $true != vAPP($o,$o,f2,vAPP($o,$o,f2,$true)) )
| ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,$true)) )
| spl0_238 ),
inference(superposition,[],[f60532,f4]) ).
thf(f68414,plain,
( spl0_219
| ~ spl0_7
| ~ spl0_31
| ~ spl0_73
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f68413,f2651,f912,f327,f78,f51722]) ).
thf(f68413,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$true)))) )
| ~ spl0_7
| ~ spl0_31
| ~ spl0_73
| ~ spl0_110 ),
inference(forward_demodulation,[],[f68409,f2653]) ).
thf(f68409,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,$false))))) )
| ~ spl0_7
| ~ spl0_31
| ~ spl0_73 ),
inference(backward_demodulation,[],[f66157,f329]) ).
thf(f66157,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$false))))))) )
| ~ spl0_7
| ~ spl0_73 ),
inference(forward_demodulation,[],[f914,f80]) ).
thf(f68363,plain,
( spl0_36
| ~ spl0_3
| ~ spl0_7
| ~ spl0_31
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f65433,f2651,f327,f78,f19,f349]) ).
thf(f65433,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$true))))))))))) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_31
| ~ spl0_110 ),
inference(forward_demodulation,[],[f65431,f2653]) ).
thf(f65431,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,$false)))))))))))) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_31 ),
inference(backward_demodulation,[],[f65150,f329]) ).
thf(f65150,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$false)))))))))))))) )
| ~ spl0_3
| ~ spl0_7 ),
inference(forward_demodulation,[],[f21,f80]) ).
thf(f68069,plain,
( ~ spl0_219
| spl0_222
| spl0_244 ),
inference(avatar_contradiction_clause,[],[f68068]) ).
thf(f68068,plain,
( $false
| ~ spl0_219
| spl0_222
| spl0_244 ),
inference(subsumption_resolution,[],[f68067,f61452]) ).
thf(f68067,plain,
( ( $false = vAPP($o,$o,f4,vAPP($o,$o,f4,$true)) )
| ~ spl0_219
| spl0_222 ),
inference(subsumption_resolution,[],[f67997,f51738]) ).
thf(f67997,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,$true)) )
| ( $false = vAPP($o,$o,f4,vAPP($o,$o,f4,$true)) )
| ~ spl0_219 ),
inference(superposition,[],[f51724,f4]) ).
thf(f67349,plain,
( spl0_39
| spl0_68 ),
inference(avatar_contradiction_clause,[],[f67348]) ).
thf(f67348,plain,
( $false
| spl0_39
| spl0_68 ),
inference(subsumption_resolution,[],[f67249,f372]) ).
thf(f67249,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$true)))))))))) )
| spl0_68 ),
inference(trivial_inequality_removal,[],[f67248]) ).
thf(f67248,plain,
( ( $true != $true )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$true)))))))))) )
| spl0_68 ),
inference(superposition,[],[f860,f4]) ).
thf(f860,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$true)))))))))) )
| spl0_68 ),
inference(avatar_component_clause,[],[f859]) ).
thf(f67268,plain,
( ~ spl0_30
| spl0_68
| ~ spl0_150
| ~ spl0_180
| ~ spl0_184
| spl0_244 ),
inference(avatar_contradiction_clause,[],[f67267]) ).
thf(f67267,plain,
( $false
| ~ spl0_30
| spl0_68
| ~ spl0_150
| ~ spl0_180
| ~ spl0_184
| spl0_244 ),
inference(subsumption_resolution,[],[f67266,f183]) ).
thf(f67266,plain,
( ( $true != vAPP($o,$o,f0,$true) )
| ~ spl0_30
| spl0_68
| ~ spl0_150
| ~ spl0_180
| ~ spl0_184
| spl0_244 ),
inference(forward_demodulation,[],[f67265,f183]) ).
thf(f67265,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ~ spl0_30
| spl0_68
| ~ spl0_150
| ~ spl0_180
| ~ spl0_184
| spl0_244 ),
inference(forward_demodulation,[],[f67264,f183]) ).
thf(f67264,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| spl0_68
| ~ spl0_150
| ~ spl0_180
| ~ spl0_184
| spl0_244 ),
inference(forward_demodulation,[],[f67263,f5115]) ).
thf(f67263,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| spl0_68
| ~ spl0_180
| ~ spl0_184
| spl0_244 ),
inference(forward_demodulation,[],[f67262,f31813]) ).
thf(f67262,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))))) )
| spl0_68
| ~ spl0_180
| ~ spl0_184
| spl0_244 ),
inference(forward_demodulation,[],[f67261,f31813]) ).
thf(f67261,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true)))))) )
| spl0_68
| ~ spl0_180
| ~ spl0_184
| spl0_244 ),
inference(forward_demodulation,[],[f67260,f31813]) ).
thf(f67260,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))))))) )
| spl0_68
| ~ spl0_180
| spl0_244 ),
inference(forward_demodulation,[],[f67259,f31777]) ).
thf(f67259,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$true)))))))) )
| spl0_68
| spl0_244 ),
inference(subsumption_resolution,[],[f67221,f61452]) ).
thf(f67221,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$true)))))))) )
| ( $false = vAPP($o,$o,f4,vAPP($o,$o,f4,$true)) )
| spl0_68 ),
inference(superposition,[],[f860,f4]) ).
thf(f67258,plain,
( ~ spl0_70
| spl0_68
| spl0_172 ),
inference(avatar_split_clause,[],[f67257,f14057,f859,f879]) ).
thf(f67257,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))))))))) )
| spl0_68
| spl0_172 ),
inference(subsumption_resolution,[],[f67219,f14058]) ).
thf(f67219,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))))))))) )
| ( $false = vAPP($o,$o,f4,$true) )
| spl0_68 ),
inference(superposition,[],[f860,f4]) ).
thf(f67030,plain,
( ~ spl0_241
| spl0_41
| ~ spl0_93
| ~ spl0_103
| ~ spl0_173 ),
inference(avatar_split_clause,[],[f67029,f19783,f2413,f1668,f388,f60546]) ).
thf(f67029,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))) )
| spl0_41
| ~ spl0_93
| ~ spl0_103
| ~ spl0_173 ),
inference(subsumption_resolution,[],[f67028,f1670]) ).
thf(f1670,plain,
( ( $false = vAPP($o,$o,f0,$false) )
| ~ spl0_93 ),
inference(avatar_component_clause,[],[f1668]) ).
thf(f67028,plain,
( ( $false != vAPP($o,$o,f0,$false) )
| ( $false != vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))) )
| spl0_41
| ~ spl0_93
| ~ spl0_103
| ~ spl0_173 ),
inference(forward_demodulation,[],[f67027,f1670]) ).
thf(f67027,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,$false)) )
| ( $false != vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))) )
| spl0_41
| ~ spl0_93
| ~ spl0_103
| ~ spl0_173 ),
inference(forward_demodulation,[],[f67026,f1670]) ).
thf(f67026,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$false))) )
| ( $false != vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))) )
| spl0_41
| ~ spl0_103
| ~ spl0_173 ),
inference(forward_demodulation,[],[f67025,f2415]) ).
thf(f67025,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$false)))) )
| ( $false != vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))) )
| spl0_41
| ~ spl0_173 ),
inference(forward_demodulation,[],[f66985,f19785]) ).
thf(f66985,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$false))))) )
| ( $false != vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))) )
| spl0_41
| ~ spl0_173 ),
inference(constrained_superposition,[],[f389,f19785]) ).
thf(f66924,plain,
( ~ spl0_244
| ~ spl0_7
| ~ spl0_31
| spl0_69
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f62951,f2651,f875,f327,f78,f61451]) ).
thf(f62951,plain,
( ( $false != vAPP($o,$o,f4,vAPP($o,$o,f4,$true)) )
| ~ spl0_7
| ~ spl0_31
| spl0_69
| ~ spl0_110 ),
inference(backward_demodulation,[],[f49245,f2653]) ).
thf(f49245,plain,
( ( $false != vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,$false))) )
| ~ spl0_7
| ~ spl0_31
| spl0_69 ),
inference(backward_demodulation,[],[f48897,f329]) ).
thf(f48897,plain,
( ( $false != vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$false))))) )
| ~ spl0_7
| spl0_69 ),
inference(forward_demodulation,[],[f876,f80]) ).
thf(f66908,plain,
( spl0_41
| ~ spl0_39
| spl0_172 ),
inference(avatar_split_clause,[],[f66774,f14057,f371,f388]) ).
thf(f66774,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))))))))) )
| ~ spl0_39
| spl0_172 ),
inference(subsumption_resolution,[],[f66737,f14058]) ).
thf(f66737,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))))))))) )
| ( $false = vAPP($o,$o,f4,$true) )
| ~ spl0_39 ),
inference(superposition,[],[f373,f4]) ).
thf(f373,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$true)))))))))) )
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f371]) ).
thf(f66799,plain,
( spl0_212
| ~ spl0_30
| ~ spl0_39
| spl0_56
| ~ spl0_150
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f66798,f31811,f5113,f484,f371,f181,f51270]) ).
thf(f66798,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$true))) )
| ~ spl0_30
| ~ spl0_39
| spl0_56
| ~ spl0_150
| ~ spl0_184 ),
inference(subsumption_resolution,[],[f66797,f485]) ).
thf(f66797,plain,
( ( $false = vAPP($o,$o,f0,$true) )
| ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$true))) )
| ~ spl0_30
| ~ spl0_39
| ~ spl0_150
| ~ spl0_184 ),
inference(forward_demodulation,[],[f66796,f183]) ).
thf(f66796,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$true))) )
| ~ spl0_30
| ~ spl0_39
| ~ spl0_150
| ~ spl0_184 ),
inference(forward_demodulation,[],[f66795,f183]) ).
thf(f66795,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$true))) )
| ~ spl0_39
| ~ spl0_150
| ~ spl0_184 ),
inference(forward_demodulation,[],[f66794,f5115]) ).
thf(f66794,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$true))) )
| ~ spl0_39
| ~ spl0_184 ),
inference(forward_demodulation,[],[f66793,f31813]) ).
thf(f66793,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))))) )
| ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$true))) )
| ~ spl0_39
| ~ spl0_184 ),
inference(forward_demodulation,[],[f66792,f31813]) ).
thf(f66792,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true)))))) )
| ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$true))) )
| ~ spl0_39
| ~ spl0_184 ),
inference(forward_demodulation,[],[f66740,f31813]) ).
thf(f66740,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))))))) )
| ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$true))) )
| ~ spl0_39 ),
inference(superposition,[],[f373,f4]) ).
thf(f66781,plain,
( ~ spl0_30
| ~ spl0_39
| spl0_56
| ~ spl0_150
| spl0_172
| ~ spl0_184
| ~ spl0_238 ),
inference(avatar_contradiction_clause,[],[f66780]) ).
thf(f66780,plain,
( $false
| ~ spl0_30
| ~ spl0_39
| spl0_56
| ~ spl0_150
| spl0_172
| ~ spl0_184
| ~ spl0_238 ),
inference(subsumption_resolution,[],[f66779,f485]) ).
thf(f66779,plain,
( ( $false = vAPP($o,$o,f0,$true) )
| ~ spl0_30
| ~ spl0_39
| ~ spl0_150
| spl0_172
| ~ spl0_184
| ~ spl0_238 ),
inference(forward_demodulation,[],[f66778,f183]) ).
thf(f66778,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ~ spl0_30
| ~ spl0_39
| ~ spl0_150
| spl0_172
| ~ spl0_184
| ~ spl0_238 ),
inference(forward_demodulation,[],[f66777,f183]) ).
thf(f66777,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ~ spl0_39
| ~ spl0_150
| spl0_172
| ~ spl0_184
| ~ spl0_238 ),
inference(forward_demodulation,[],[f66776,f5115]) ).
thf(f66776,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ~ spl0_39
| spl0_172
| ~ spl0_184
| ~ spl0_238 ),
inference(forward_demodulation,[],[f66775,f31813]) ).
thf(f66775,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))))) )
| ~ spl0_39
| spl0_172
| ~ spl0_238 ),
inference(forward_demodulation,[],[f66774,f60531]) ).
thf(f66336,plain,
( ~ spl0_30
| spl0_72
| ~ spl0_150
| ~ spl0_180
| ~ spl0_184 ),
inference(avatar_contradiction_clause,[],[f66335]) ).
thf(f66335,plain,
( $false
| ~ spl0_30
| spl0_72
| ~ spl0_150
| ~ spl0_180
| ~ spl0_184 ),
inference(subsumption_resolution,[],[f66334,f183]) ).
thf(f66334,plain,
( ( $true != vAPP($o,$o,f0,$true) )
| ~ spl0_30
| spl0_72
| ~ spl0_150
| ~ spl0_180
| ~ spl0_184 ),
inference(forward_demodulation,[],[f66333,f183]) ).
thf(f66333,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ~ spl0_30
| spl0_72
| ~ spl0_150
| ~ spl0_180
| ~ spl0_184 ),
inference(forward_demodulation,[],[f66332,f183]) ).
thf(f66332,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| spl0_72
| ~ spl0_150
| ~ spl0_180
| ~ spl0_184 ),
inference(forward_demodulation,[],[f66331,f5115]) ).
thf(f66331,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| spl0_72
| ~ spl0_180
| ~ spl0_184 ),
inference(forward_demodulation,[],[f66330,f31813]) ).
thf(f66330,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))))) )
| spl0_72
| ~ spl0_180
| ~ spl0_184 ),
inference(forward_demodulation,[],[f66329,f31813]) ).
thf(f66329,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true)))))) )
| spl0_72
| ~ spl0_180
| ~ spl0_184 ),
inference(forward_demodulation,[],[f66310,f31813]) ).
thf(f66310,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))))))) )
| spl0_72
| ~ spl0_180 ),
inference(backward_demodulation,[],[f899,f31777]) ).
thf(f899,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$true)))))))) )
| spl0_72 ),
inference(avatar_component_clause,[],[f898]) ).
thf(f66295,plain,
( spl0_101
| ~ spl0_211
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f66294,f51707,f47486,f2231]) ).
thf(f66294,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,$false)) )
| ~ spl0_211
| ~ spl0_216 ),
inference(forward_demodulation,[],[f51709,f47488]) ).
thf(f66286,plain,
( spl0_172
| ~ spl0_7
| ~ spl0_31
| ~ spl0_67
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f64239,f2651,f855,f327,f78,f14057]) ).
thf(f64239,plain,
( ( $false = vAPP($o,$o,f4,$true) )
| ~ spl0_7
| ~ spl0_31
| ~ spl0_67
| ~ spl0_110 ),
inference(forward_demodulation,[],[f64238,f2653]) ).
thf(f64238,plain,
( ( $false = vAPP($o,$o,f4,vAPP($o,$o,f5,$false)) )
| ~ spl0_7
| ~ spl0_31
| ~ spl0_67 ),
inference(backward_demodulation,[],[f64068,f329]) ).
thf(f64068,plain,
( ( $false = vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$false)))) )
| ~ spl0_7
| ~ spl0_67 ),
inference(forward_demodulation,[],[f857,f80]) ).
thf(f66277,plain,
( ~ spl0_222
| ~ spl0_7
| spl0_17
| ~ spl0_110
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f65106,f2659,f2651,f123,f78,f51737]) ).
thf(f65106,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,$true)) )
| ~ spl0_7
| spl0_17
| ~ spl0_110
| ~ spl0_111 ),
inference(forward_demodulation,[],[f65105,f2653]) ).
thf(f65105,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$false))) )
| ~ spl0_7
| spl0_17
| ~ spl0_110
| ~ spl0_111 ),
inference(forward_demodulation,[],[f65104,f2661]) ).
thf(f65104,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$true)))) )
| ~ spl0_7
| spl0_17
| ~ spl0_110 ),
inference(forward_demodulation,[],[f65103,f2653]) ).
thf(f65103,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$false))))) )
| ~ spl0_7
| spl0_17 ),
inference(forward_demodulation,[],[f124,f80]) ).
thf(f66029,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_30
| ~ spl0_31
| spl0_56
| ~ spl0_110
| ~ spl0_150
| spl0_157
| ~ spl0_172
| ~ spl0_184
| ~ spl0_211 ),
inference(avatar_contradiction_clause,[],[f66028]) ).
thf(f66028,plain,
( $false
| ~ spl0_3
| ~ spl0_7
| ~ spl0_30
| ~ spl0_31
| spl0_56
| ~ spl0_110
| ~ spl0_150
| spl0_157
| ~ spl0_172
| ~ spl0_184
| ~ spl0_211 ),
inference(subsumption_resolution,[],[f66027,f6227]) ).
thf(f66027,plain,
( ( $false = vAPP($o,$o,f3,$false) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_30
| ~ spl0_31
| spl0_56
| ~ spl0_110
| ~ spl0_150
| ~ spl0_172
| ~ spl0_184
| ~ spl0_211 ),
inference(forward_demodulation,[],[f66003,f47488]) ).
thf(f66003,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,$false)) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_30
| ~ spl0_31
| spl0_56
| ~ spl0_110
| ~ spl0_150
| ~ spl0_172
| ~ spl0_184
| ~ spl0_211 ),
inference(backward_demodulation,[],[f65859,f47488]) ).
thf(f65859,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$false))) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_30
| ~ spl0_31
| spl0_56
| ~ spl0_110
| ~ spl0_150
| ~ spl0_172
| ~ spl0_184 ),
inference(subsumption_resolution,[],[f65858,f485]) ).
thf(f65858,plain,
( ( $false = vAPP($o,$o,f0,$true) )
| ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$false))) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_30
| ~ spl0_31
| ~ spl0_110
| ~ spl0_150
| ~ spl0_172
| ~ spl0_184 ),
inference(forward_demodulation,[],[f65857,f183]) ).
thf(f65857,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$false))) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_30
| ~ spl0_31
| ~ spl0_110
| ~ spl0_150
| ~ spl0_172
| ~ spl0_184 ),
inference(forward_demodulation,[],[f65856,f183]) ).
thf(f65856,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$false))) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_31
| ~ spl0_110
| ~ spl0_150
| ~ spl0_172
| ~ spl0_184 ),
inference(forward_demodulation,[],[f65855,f5115]) ).
thf(f65855,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$false))) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_31
| ~ spl0_110
| ~ spl0_172
| ~ spl0_184 ),
inference(forward_demodulation,[],[f65854,f31813]) ).
thf(f65854,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))))) )
| ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$false))) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_31
| ~ spl0_110
| ~ spl0_172
| ~ spl0_184 ),
inference(forward_demodulation,[],[f65853,f31813]) ).
thf(f65853,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true)))))) )
| ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$false))) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_31
| ~ spl0_110
| ~ spl0_172
| ~ spl0_184 ),
inference(forward_demodulation,[],[f65737,f31813]) ).
thf(f65737,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))))))) )
| ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$false))) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_31
| ~ spl0_110
| ~ spl0_172 ),
inference(superposition,[],[f65434,f4]) ).
thf(f65434,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$false)))))))))) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_31
| ~ spl0_110
| ~ spl0_172 ),
inference(forward_demodulation,[],[f65433,f14059]) ).
thf(f66020,plain,
( ~ spl0_211
| spl0_252 ),
inference(avatar_contradiction_clause,[],[f66019]) ).
thf(f66019,plain,
( $false
| ~ spl0_211
| spl0_252 ),
inference(subsumption_resolution,[],[f65998,f47488]) ).
thf(f65998,plain,
( ( $false != vAPP($o,$o,f4,$false) )
| ~ spl0_211
| spl0_252 ),
inference(backward_demodulation,[],[f63780,f47488]) ).
thf(f65987,plain,
( ~ spl0_211
| ~ spl0_111
| spl0_171 ),
inference(avatar_split_clause,[],[f63975,f14053,f2659,f47486]) ).
thf(f63975,plain,
( ( $false != vAPP($o,$o,f4,$false) )
| ~ spl0_111
| spl0_171 ),
inference(backward_demodulation,[],[f14054,f2661]) ).
thf(f14054,plain,
( ( $false != vAPP($o,$o,f4,vAPP($o,$o,f5,$true)) )
| spl0_171 ),
inference(avatar_component_clause,[],[f14053]) ).
thf(f65985,plain,
( spl0_211
| ~ spl0_3
| ~ spl0_7
| ~ spl0_30
| ~ spl0_31
| spl0_56
| ~ spl0_110
| ~ spl0_138
| ~ spl0_150
| ~ spl0_172
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f65984,f31811,f14057,f5113,f4312,f2651,f484,f327,f181,f78,f19,f47486]) ).
thf(f65984,plain,
( ( $false = vAPP($o,$o,f4,$false) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_30
| ~ spl0_31
| spl0_56
| ~ spl0_110
| ~ spl0_138
| ~ spl0_150
| ~ spl0_172
| ~ spl0_184 ),
inference(subsumption_resolution,[],[f65983,f485]) ).
thf(f65983,plain,
( ( $false = vAPP($o,$o,f0,$true) )
| ( $false = vAPP($o,$o,f4,$false) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_30
| ~ spl0_31
| ~ spl0_110
| ~ spl0_138
| ~ spl0_150
| ~ spl0_172
| ~ spl0_184 ),
inference(forward_demodulation,[],[f65982,f183]) ).
thf(f65982,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( $false = vAPP($o,$o,f4,$false) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_30
| ~ spl0_31
| ~ spl0_110
| ~ spl0_138
| ~ spl0_150
| ~ spl0_172
| ~ spl0_184 ),
inference(forward_demodulation,[],[f65981,f183]) ).
thf(f65981,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( $false = vAPP($o,$o,f4,$false) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_31
| ~ spl0_110
| ~ spl0_138
| ~ spl0_150
| ~ spl0_172
| ~ spl0_184 ),
inference(forward_demodulation,[],[f65980,f5115]) ).
thf(f65980,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( $false = vAPP($o,$o,f4,$false) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_31
| ~ spl0_110
| ~ spl0_138
| ~ spl0_172
| ~ spl0_184 ),
inference(forward_demodulation,[],[f65979,f31813]) ).
thf(f65979,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))))) )
| ( $false = vAPP($o,$o,f4,$false) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_31
| ~ spl0_110
| ~ spl0_138
| ~ spl0_172
| ~ spl0_184 ),
inference(forward_demodulation,[],[f65978,f31813]) ).
thf(f65978,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true)))))) )
| ( $false = vAPP($o,$o,f4,$false) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_31
| ~ spl0_110
| ~ spl0_138
| ~ spl0_172
| ~ spl0_184 ),
inference(forward_demodulation,[],[f65977,f31813]) ).
thf(f65977,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))))))) )
| ( $false = vAPP($o,$o,f4,$false) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_31
| ~ spl0_110
| ~ spl0_138
| ~ spl0_172 ),
inference(forward_demodulation,[],[f65976,f4314]) ).
thf(f65976,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$false)))))))) )
| ( $false = vAPP($o,$o,f4,$false) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_31
| ~ spl0_110
| ~ spl0_172 ),
inference(forward_demodulation,[],[f65735,f14059]) ).
thf(f65735,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))))))))) )
| ( $false = vAPP($o,$o,f4,$false) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_31
| ~ spl0_110
| ~ spl0_172 ),
inference(superposition,[],[f65434,f4]) ).
thf(f65642,plain,
( spl0_252
| ~ spl0_40
| ~ spl0_105
| ~ spl0_111
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f65544,f9124,f2659,f2566,f384,f63779]) ).
thf(f384,plain,
( spl0_40
<=> ( $false = vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,$false)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
thf(f65544,plain,
( ( $false = vAPP($o,$o,f4,vAPP($o,$o,f4,$false)) )
| ~ spl0_40
| ~ spl0_105
| ~ spl0_111
| ~ spl0_168 ),
inference(forward_demodulation,[],[f65543,f2661]) ).
thf(f65543,plain,
( ( $false = vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,$true))) )
| ~ spl0_40
| ~ spl0_105
| ~ spl0_168 ),
inference(forward_demodulation,[],[f65542,f2568]) ).
thf(f65542,plain,
( ( $false = vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,$false)))) )
| ~ spl0_40
| ~ spl0_105
| ~ spl0_168 ),
inference(forward_demodulation,[],[f65541,f9125]) ).
thf(f65541,plain,
( ( $false = vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$true))))) )
| ~ spl0_40
| ~ spl0_105 ),
inference(forward_demodulation,[],[f386,f2568]) ).
thf(f386,plain,
( ( $false = vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,$false)))))) )
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f384]) ).
thf(f65213,plain,
( ~ spl0_30
| ~ spl0_34
| spl0_56
| ~ spl0_111
| ~ spl0_138
| ~ spl0_150
| ~ spl0_184
| ~ spl0_213 ),
inference(avatar_contradiction_clause,[],[f65212]) ).
thf(f65212,plain,
( $false
| ~ spl0_30
| ~ spl0_34
| spl0_56
| ~ spl0_111
| ~ spl0_138
| ~ spl0_150
| ~ spl0_184
| ~ spl0_213 ),
inference(subsumption_resolution,[],[f65211,f485]) ).
thf(f65211,plain,
( ( $false = vAPP($o,$o,f0,$true) )
| ~ spl0_30
| ~ spl0_34
| ~ spl0_111
| ~ spl0_138
| ~ spl0_150
| ~ spl0_184
| ~ spl0_213 ),
inference(forward_demodulation,[],[f65210,f183]) ).
thf(f65210,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ~ spl0_30
| ~ spl0_34
| ~ spl0_111
| ~ spl0_138
| ~ spl0_150
| ~ spl0_184
| ~ spl0_213 ),
inference(forward_demodulation,[],[f65209,f183]) ).
thf(f65209,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ~ spl0_34
| ~ spl0_111
| ~ spl0_138
| ~ spl0_150
| ~ spl0_184
| ~ spl0_213 ),
inference(forward_demodulation,[],[f65208,f5115]) ).
thf(f65208,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ~ spl0_34
| ~ spl0_111
| ~ spl0_138
| ~ spl0_184
| ~ spl0_213 ),
inference(forward_demodulation,[],[f65207,f31813]) ).
thf(f65207,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))))) )
| ~ spl0_34
| ~ spl0_111
| ~ spl0_138
| ~ spl0_184
| ~ spl0_213 ),
inference(forward_demodulation,[],[f65206,f31813]) ).
thf(f65206,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true)))))) )
| ~ spl0_34
| ~ spl0_111
| ~ spl0_138
| ~ spl0_184
| ~ spl0_213 ),
inference(forward_demodulation,[],[f65205,f31813]) ).
thf(f65205,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))))))) )
| ~ spl0_34
| ~ spl0_111
| ~ spl0_138
| ~ spl0_213 ),
inference(forward_demodulation,[],[f64809,f4314]) ).
thf(f64809,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$false)))))))) )
| ~ spl0_34
| ~ spl0_111
| ~ spl0_213 ),
inference(forward_demodulation,[],[f64808,f51429]) ).
thf(f64808,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$false))))))))))) )
| ~ spl0_34
| ~ spl0_111 ),
inference(forward_demodulation,[],[f342,f2661]) ).
thf(f64982,plain,
( spl0_102
| ~ spl0_138
| ~ spl0_172
| ~ spl0_184
| ~ spl0_242 ),
inference(avatar_contradiction_clause,[],[f64981]) ).
thf(f64981,plain,
( $false
| spl0_102
| ~ spl0_138
| ~ spl0_172
| ~ spl0_184
| ~ spl0_242 ),
inference(subsumption_resolution,[],[f64980,f2236]) ).
thf(f64980,plain,
( ( $false = vAPP($o,$o,f2,$true) )
| ~ spl0_138
| ~ spl0_172
| ~ spl0_184
| ~ spl0_242 ),
inference(forward_demodulation,[],[f64979,f31813]) ).
thf(f64979,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,$true)) )
| ~ spl0_138
| ~ spl0_172
| ~ spl0_184
| ~ spl0_242 ),
inference(forward_demodulation,[],[f64962,f31813]) ).
thf(f64962,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))) )
| ~ spl0_138
| ~ spl0_172
| ~ spl0_242 ),
inference(backward_demodulation,[],[f64574,f4314]) ).
thf(f64574,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$false)))) )
| ~ spl0_172
| ~ spl0_242 ),
inference(forward_demodulation,[],[f60637,f14059]) ).
thf(f64901,plain,
( ~ spl0_162
| ~ spl0_172
| spl0_227 ),
inference(avatar_split_clause,[],[f64900,f58796,f14057,f6339]) ).
thf(f58796,plain,
( spl0_227
<=> ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$true)))))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_227])]) ).
thf(f64900,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$false))))))) )
| ~ spl0_172
| spl0_227 ),
inference(forward_demodulation,[],[f58797,f14059]) ).
thf(f58797,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$true)))))))) )
| spl0_227 ),
inference(avatar_component_clause,[],[f58796]) ).
thf(f64680,plain,
( spl0_56
| ~ spl0_133
| ~ spl0_150
| ~ spl0_180
| ~ spl0_184 ),
inference(avatar_contradiction_clause,[],[f64679]) ).
thf(f64679,plain,
( $false
| spl0_56
| ~ spl0_133
| ~ spl0_150
| ~ spl0_180
| ~ spl0_184 ),
inference(subsumption_resolution,[],[f64678,f485]) ).
thf(f64678,plain,
( ( $false = vAPP($o,$o,f0,$true) )
| ~ spl0_133
| ~ spl0_150
| ~ spl0_180
| ~ spl0_184 ),
inference(forward_demodulation,[],[f64677,f5115]) ).
thf(f64677,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ~ spl0_133
| ~ spl0_150
| ~ spl0_180
| ~ spl0_184 ),
inference(forward_demodulation,[],[f64676,f5115]) ).
thf(f64676,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) )
| ~ spl0_133
| ~ spl0_150
| ~ spl0_180
| ~ spl0_184 ),
inference(forward_demodulation,[],[f64675,f5115]) ).
thf(f64675,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$true)))) )
| ~ spl0_133
| ~ spl0_180
| ~ spl0_184 ),
inference(forward_demodulation,[],[f64674,f31813]) ).
thf(f64674,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))))) )
| ~ spl0_133
| ~ spl0_180 ),
inference(forward_demodulation,[],[f64673,f31777]) ).
thf(f64673,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$true)))))) )
| ~ spl0_133
| ~ spl0_180 ),
inference(forward_demodulation,[],[f64656,f31777]) ).
thf(f64656,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$true))))))) )
| ~ spl0_133
| ~ spl0_180 ),
inference(backward_demodulation,[],[f3277,f31777]) ).
thf(f64483,plain,
( spl0_5
| spl0_168
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f35652,f78,f9124,f69]) ).
thf(f35652,plain,
( ( $false = vAPP($o,$o,f6,$true) )
| ( x = $false )
| ~ spl0_7 ),
inference(superposition,[],[f80,f4]) ).
thf(f64476,plain,
( ~ spl0_72
| ~ spl0_93
| ~ spl0_214 ),
inference(avatar_contradiction_clause,[],[f64475]) ).
thf(f64475,plain,
( $false
| ~ spl0_72
| ~ spl0_93
| ~ spl0_214 ),
inference(trivial_inequality_removal,[],[f64474]) ).
thf(f64474,plain,
( ( $true = $false )
| ~ spl0_72
| ~ spl0_93
| ~ spl0_214 ),
inference(forward_demodulation,[],[f64473,f1670]) ).
thf(f64473,plain,
( ( $true = vAPP($o,$o,f0,$false) )
| ~ spl0_72
| ~ spl0_93
| ~ spl0_214 ),
inference(forward_demodulation,[],[f64472,f1670]) ).
thf(f64472,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,$false)) )
| ~ spl0_72
| ~ spl0_93
| ~ spl0_214 ),
inference(forward_demodulation,[],[f64471,f1670]) ).
thf(f64471,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$false))) )
| ~ spl0_72
| ~ spl0_214 ),
inference(forward_demodulation,[],[f900,f51434]) ).
thf(f64352,plain,
( ~ spl0_31
| spl0_40
| ~ spl0_114
| ~ spl0_168
| ~ spl0_252 ),
inference(avatar_contradiction_clause,[],[f64351]) ).
thf(f64351,plain,
( $false
| ~ spl0_31
| spl0_40
| ~ spl0_114
| ~ spl0_168
| ~ spl0_252 ),
inference(subsumption_resolution,[],[f64336,f63781]) ).
thf(f64336,plain,
( ( $false != vAPP($o,$o,f4,vAPP($o,$o,f4,$false)) )
| ~ spl0_31
| spl0_40
| ~ spl0_114
| ~ spl0_168 ),
inference(backward_demodulation,[],[f49239,f64334]) ).
thf(f64334,plain,
( ( $false = vAPP($o,$o,f5,vAPP($o,$o,f6,$false)) )
| ~ spl0_114
| ~ spl0_168 ),
inference(forward_demodulation,[],[f2854,f9125]) ).
thf(f49239,plain,
( ( $false != vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,$false)))) )
| ~ spl0_31
| spl0_40 ),
inference(backward_demodulation,[],[f385,f329]) ).
thf(f385,plain,
( ( $false != vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,$false)))))) )
| spl0_40 ),
inference(avatar_component_clause,[],[f384]) ).
thf(f64327,plain,
( ~ spl0_172
| ~ spl0_212
| spl0_218
| ~ spl0_252 ),
inference(avatar_contradiction_clause,[],[f64326]) ).
thf(f64326,plain,
( $false
| ~ spl0_172
| ~ spl0_212
| spl0_218
| ~ spl0_252 ),
inference(subsumption_resolution,[],[f64325,f63874]) ).
thf(f63874,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,$false)) )
| ~ spl0_172
| ~ spl0_212 ),
inference(backward_demodulation,[],[f51271,f14059]) ).
thf(f64325,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,$false)) )
| spl0_218
| ~ spl0_252 ),
inference(forward_demodulation,[],[f51717,f63781]) ).
thf(f64309,plain,
( ~ spl0_61
| ~ spl0_93
| ~ spl0_103
| ~ spl0_111
| ~ spl0_172
| ~ spl0_173
| ~ spl0_212
| ~ spl0_252 ),
inference(avatar_contradiction_clause,[],[f64308]) ).
thf(f64308,plain,
( $false
| ~ spl0_61
| ~ spl0_93
| ~ spl0_103
| ~ spl0_111
| ~ spl0_172
| ~ spl0_173
| ~ spl0_212
| ~ spl0_252 ),
inference(trivial_inequality_removal,[],[f64307]) ).
thf(f64307,plain,
( ( $true = $false )
| ~ spl0_61
| ~ spl0_93
| ~ spl0_103
| ~ spl0_111
| ~ spl0_172
| ~ spl0_173
| ~ spl0_212
| ~ spl0_252 ),
inference(forward_demodulation,[],[f64306,f1670]) ).
thf(f64306,plain,
( ( $true = vAPP($o,$o,f0,$false) )
| ~ spl0_61
| ~ spl0_93
| ~ spl0_103
| ~ spl0_111
| ~ spl0_172
| ~ spl0_173
| ~ spl0_212
| ~ spl0_252 ),
inference(forward_demodulation,[],[f64305,f1670]) ).
thf(f64305,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,$false)) )
| ~ spl0_61
| ~ spl0_93
| ~ spl0_103
| ~ spl0_111
| ~ spl0_172
| ~ spl0_173
| ~ spl0_212
| ~ spl0_252 ),
inference(forward_demodulation,[],[f64304,f1670]) ).
thf(f64304,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$false))) )
| ~ spl0_61
| ~ spl0_103
| ~ spl0_111
| ~ spl0_172
| ~ spl0_173
| ~ spl0_212
| ~ spl0_252 ),
inference(forward_demodulation,[],[f64303,f2415]) ).
thf(f64303,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$false)))) )
| ~ spl0_61
| ~ spl0_111
| ~ spl0_172
| ~ spl0_173
| ~ spl0_212
| ~ spl0_252 ),
inference(forward_demodulation,[],[f64302,f19785]) ).
thf(f64302,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$false))))) )
| ~ spl0_61
| ~ spl0_111
| ~ spl0_172
| ~ spl0_173
| ~ spl0_212
| ~ spl0_252 ),
inference(forward_demodulation,[],[f64301,f19785]) ).
thf(f64301,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$false)))))) )
| ~ spl0_61
| ~ spl0_111
| ~ spl0_172
| ~ spl0_173
| ~ spl0_212
| ~ spl0_252 ),
inference(forward_demodulation,[],[f64300,f19785]) ).
thf(f64300,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$false))))))) )
| ~ spl0_61
| ~ spl0_111
| ~ spl0_172
| ~ spl0_212
| ~ spl0_252 ),
inference(forward_demodulation,[],[f64290,f63874]) ).
thf(f64290,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))))))) )
| ~ spl0_61
| ~ spl0_111
| ~ spl0_252 ),
inference(backward_demodulation,[],[f63970,f63781]) ).
thf(f63970,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$false))))))))))) )
| ~ spl0_61
| ~ spl0_111 ),
inference(backward_demodulation,[],[f727,f2661]) ).
thf(f727,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,$true)))))))))))) )
| ~ spl0_61 ),
inference(avatar_component_clause,[],[f725]) ).
thf(f64281,plain,
( ~ spl0_66
| ~ spl0_93
| ~ spl0_103
| ~ spl0_219
| ~ spl0_222
| ~ spl0_242 ),
inference(avatar_contradiction_clause,[],[f64280]) ).
thf(f64280,plain,
( $false
| ~ spl0_66
| ~ spl0_93
| ~ spl0_103
| ~ spl0_219
| ~ spl0_222
| ~ spl0_242 ),
inference(trivial_inequality_removal,[],[f64279]) ).
thf(f64279,plain,
( ( $true = $false )
| ~ spl0_66
| ~ spl0_93
| ~ spl0_103
| ~ spl0_219
| ~ spl0_222
| ~ spl0_242 ),
inference(forward_demodulation,[],[f64278,f1670]) ).
thf(f64278,plain,
( ( $true = vAPP($o,$o,f0,$false) )
| ~ spl0_66
| ~ spl0_93
| ~ spl0_103
| ~ spl0_219
| ~ spl0_222
| ~ spl0_242 ),
inference(forward_demodulation,[],[f64277,f1670]) ).
thf(f64277,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,$false)) )
| ~ spl0_66
| ~ spl0_93
| ~ spl0_103
| ~ spl0_219
| ~ spl0_222
| ~ spl0_242 ),
inference(forward_demodulation,[],[f64276,f1670]) ).
thf(f64276,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$false))) )
| ~ spl0_66
| ~ spl0_103
| ~ spl0_219
| ~ spl0_222
| ~ spl0_242 ),
inference(forward_demodulation,[],[f62469,f2415]) ).
thf(f62469,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$false)))) )
| ~ spl0_66
| ~ spl0_219
| ~ spl0_222
| ~ spl0_242 ),
inference(forward_demodulation,[],[f62466,f62462]) ).
thf(f62462,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$false))) )
| ~ spl0_222
| ~ spl0_242 ),
inference(backward_demodulation,[],[f60637,f51739]) ).
thf(f62466,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$false))))))) )
| ~ spl0_66
| ~ spl0_219 ),
inference(backward_demodulation,[],[f840,f51724]) ).
thf(f64265,plain,
( spl0_41
| ~ spl0_93
| ~ spl0_103
| ~ spl0_173
| ~ spl0_222 ),
inference(avatar_contradiction_clause,[],[f64264]) ).
thf(f64264,plain,
( $false
| spl0_41
| ~ spl0_93
| ~ spl0_103
| ~ spl0_173
| ~ spl0_222 ),
inference(subsumption_resolution,[],[f64263,f1670]) ).
thf(f64263,plain,
( ( $false != vAPP($o,$o,f0,$false) )
| spl0_41
| ~ spl0_93
| ~ spl0_103
| ~ spl0_173
| ~ spl0_222 ),
inference(forward_demodulation,[],[f64262,f1670]) ).
thf(f64262,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,$false)) )
| spl0_41
| ~ spl0_93
| ~ spl0_103
| ~ spl0_173
| ~ spl0_222 ),
inference(forward_demodulation,[],[f64261,f1670]) ).
thf(f64261,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$false))) )
| spl0_41
| ~ spl0_103
| ~ spl0_173
| ~ spl0_222 ),
inference(forward_demodulation,[],[f63126,f2415]) ).
thf(f63126,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$false)))) )
| spl0_41
| ~ spl0_173
| ~ spl0_222 ),
inference(forward_demodulation,[],[f63125,f19785]) ).
thf(f63125,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$false))))) )
| spl0_41
| ~ spl0_173
| ~ spl0_222 ),
inference(forward_demodulation,[],[f63124,f19785]) ).
thf(f63124,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$false)))))) )
| spl0_41
| ~ spl0_173
| ~ spl0_222 ),
inference(forward_demodulation,[],[f63123,f19785]) ).
thf(f63123,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$false))))))) )
| spl0_41
| ~ spl0_222 ),
inference(forward_demodulation,[],[f389,f51739]) ).
thf(f64254,plain,
( ~ spl0_70
| ~ spl0_93
| ~ spl0_103
| ~ spl0_173
| ~ spl0_222 ),
inference(avatar_contradiction_clause,[],[f64253]) ).
thf(f64253,plain,
( $false
| ~ spl0_70
| ~ spl0_93
| ~ spl0_103
| ~ spl0_173
| ~ spl0_222 ),
inference(trivial_inequality_removal,[],[f64252]) ).
thf(f64252,plain,
( ( $true = $false )
| ~ spl0_70
| ~ spl0_93
| ~ spl0_103
| ~ spl0_173
| ~ spl0_222 ),
inference(forward_demodulation,[],[f64251,f1670]) ).
thf(f64251,plain,
( ( $true = vAPP($o,$o,f0,$false) )
| ~ spl0_70
| ~ spl0_93
| ~ spl0_103
| ~ spl0_173
| ~ spl0_222 ),
inference(forward_demodulation,[],[f64250,f1670]) ).
thf(f64250,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,$false)) )
| ~ spl0_70
| ~ spl0_93
| ~ spl0_103
| ~ spl0_173
| ~ spl0_222 ),
inference(forward_demodulation,[],[f64249,f1670]) ).
thf(f64249,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$false))) )
| ~ spl0_70
| ~ spl0_103
| ~ spl0_173
| ~ spl0_222 ),
inference(forward_demodulation,[],[f63037,f2415]) ).
thf(f63037,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$false)))) )
| ~ spl0_70
| ~ spl0_173
| ~ spl0_222 ),
inference(forward_demodulation,[],[f63036,f19785]) ).
thf(f63036,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$false))))) )
| ~ spl0_70
| ~ spl0_173
| ~ spl0_222 ),
inference(forward_demodulation,[],[f63035,f19785]) ).
thf(f63035,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$false)))))) )
| ~ spl0_70
| ~ spl0_173
| ~ spl0_222 ),
inference(forward_demodulation,[],[f63034,f19785]) ).
thf(f63034,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$false))))))) )
| ~ spl0_70
| ~ spl0_222 ),
inference(forward_demodulation,[],[f881,f51739]) ).
thf(f64217,plain,
( ~ spl0_7
| ~ spl0_67
| spl0_85
| ~ spl0_93
| ~ spl0_103
| ~ spl0_172
| ~ spl0_173
| ~ spl0_219 ),
inference(avatar_contradiction_clause,[],[f64216]) ).
thf(f64216,plain,
( $false
| ~ spl0_7
| ~ spl0_67
| spl0_85
| ~ spl0_93
| ~ spl0_103
| ~ spl0_172
| ~ spl0_173
| ~ spl0_219 ),
inference(subsumption_resolution,[],[f64215,f1670]) ).
thf(f64215,plain,
( ( $false != vAPP($o,$o,f0,$false) )
| ~ spl0_7
| ~ spl0_67
| spl0_85
| ~ spl0_93
| ~ spl0_103
| ~ spl0_172
| ~ spl0_173
| ~ spl0_219 ),
inference(forward_demodulation,[],[f64214,f1670]) ).
thf(f64214,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,$false)) )
| ~ spl0_7
| ~ spl0_67
| spl0_85
| ~ spl0_103
| ~ spl0_172
| ~ spl0_173
| ~ spl0_219 ),
inference(forward_demodulation,[],[f64213,f2415]) ).
thf(f64213,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$false))) )
| ~ spl0_7
| ~ spl0_67
| spl0_85
| ~ spl0_172
| ~ spl0_173
| ~ spl0_219 ),
inference(forward_demodulation,[],[f64212,f19785]) ).
thf(f64212,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$false)))) )
| ~ spl0_7
| ~ spl0_67
| spl0_85
| ~ spl0_172
| ~ spl0_173
| ~ spl0_219 ),
inference(forward_demodulation,[],[f64211,f19785]) ).
thf(f64211,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$false))))) )
| ~ spl0_7
| ~ spl0_67
| spl0_85
| ~ spl0_172
| ~ spl0_173
| ~ spl0_219 ),
inference(forward_demodulation,[],[f64210,f19785]) ).
thf(f64210,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$false)))))) )
| ~ spl0_7
| ~ spl0_67
| spl0_85
| ~ spl0_172
| ~ spl0_219 ),
inference(forward_demodulation,[],[f64187,f63875]) ).
thf(f63875,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$false))) )
| ~ spl0_172
| ~ spl0_219 ),
inference(backward_demodulation,[],[f51724,f14059]) ).
thf(f64187,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$false))))))))) )
| ~ spl0_7
| ~ spl0_67
| spl0_85 ),
inference(backward_demodulation,[],[f62284,f64068]) ).
thf(f62284,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$false))))))))))))) )
| ~ spl0_7
| spl0_85 ),
inference(forward_demodulation,[],[f997,f80]) ).
thf(f63886,plain,
( ~ spl0_252
| ~ spl0_7
| ~ spl0_31
| spl0_71
| ~ spl0_110
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f63878,f14057,f2651,f894,f327,f78,f63779]) ).
thf(f63878,plain,
( ( $false != vAPP($o,$o,f4,vAPP($o,$o,f4,$false)) )
| ~ spl0_7
| ~ spl0_31
| spl0_71
| ~ spl0_110
| ~ spl0_172 ),
inference(backward_demodulation,[],[f62952,f14059]) ).
thf(f62952,plain,
( ( $false != vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$true))) )
| ~ spl0_7
| ~ spl0_31
| spl0_71
| ~ spl0_110 ),
inference(backward_demodulation,[],[f62119,f2653]) ).
thf(f62119,plain,
( ( $false != vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,$false)))) )
| ~ spl0_7
| ~ spl0_31
| spl0_71 ),
inference(backward_demodulation,[],[f61567,f329]) ).
thf(f61567,plain,
( ( $false != vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$false)))))) )
| ~ spl0_7
| spl0_71 ),
inference(forward_demodulation,[],[f895,f80]) ).
thf(f63820,plain,
( spl0_103
| ~ spl0_173
| ~ spl0_207
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f63819,f51707,f43348,f19783,f2413]) ).
thf(f63819,plain,
( ( $false = vAPP($o,$o,f1,$false) )
| ~ spl0_173
| ~ spl0_207
| ~ spl0_216 ),
inference(forward_demodulation,[],[f63818,f19785]) ).
thf(f63818,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,$false)) )
| ~ spl0_173
| ~ spl0_207
| ~ spl0_216 ),
inference(forward_demodulation,[],[f63817,f19785]) ).
thf(f63817,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$false))) )
| ~ spl0_207
| ~ spl0_216 ),
inference(forward_demodulation,[],[f43350,f51709]) ).
thf(f63810,plain,
( ~ spl0_99
| ~ spl0_173
| spl0_210
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f63809,f51707,f43365,f19783,f2163]) ).
thf(f63809,plain,
( ( $true != vAPP($o,$o,f1,$false) )
| ~ spl0_173
| spl0_210
| ~ spl0_216 ),
inference(forward_demodulation,[],[f63808,f19785]) ).
thf(f63808,plain,
( ( $true != vAPP($o,$o,f1,vAPP($o,$o,f2,$false)) )
| ~ spl0_173
| spl0_210
| ~ spl0_216 ),
inference(forward_demodulation,[],[f63807,f19785]) ).
thf(f63807,plain,
( ( $true != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$false))) )
| spl0_210
| ~ spl0_216 ),
inference(forward_demodulation,[],[f43366,f51709]) ).
thf(f43366,plain,
( ( $true != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))))) )
| spl0_210 ),
inference(avatar_component_clause,[],[f43365]) ).
thf(f63806,plain,
( spl0_103
| ~ spl0_143
| ~ spl0_173
| ~ spl0_214 ),
inference(avatar_split_clause,[],[f63805,f51432,f19783,f4459,f2413]) ).
thf(f63805,plain,
( ( $false = vAPP($o,$o,f1,$false) )
| ~ spl0_143
| ~ spl0_173
| ~ spl0_214 ),
inference(forward_demodulation,[],[f63804,f19785]) ).
thf(f63804,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,$false)) )
| ~ spl0_143
| ~ spl0_173
| ~ spl0_214 ),
inference(forward_demodulation,[],[f63803,f19785]) ).
thf(f63803,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$false))) )
| ~ spl0_143
| ~ spl0_173
| ~ spl0_214 ),
inference(forward_demodulation,[],[f63802,f19785]) ).
thf(f63802,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$false)))) )
| ~ spl0_143
| ~ spl0_214 ),
inference(forward_demodulation,[],[f51434,f4461]) ).
thf(f63782,plain,
( spl0_252
| ~ spl0_172
| spl0_213 ),
inference(avatar_split_clause,[],[f61834,f51427,f14057,f63779]) ).
thf(f61834,plain,
( ( $false != vAPP($o,$o,f4,$true) )
| ( $false = vAPP($o,$o,f4,vAPP($o,$o,f4,$false)) )
| spl0_213 ),
inference(superposition,[],[f51428,f4]) ).
thf(f63777,plain,
( spl0_103
| ~ spl0_98
| ~ spl0_110
| ~ spl0_125
| ~ spl0_140
| ~ spl0_173
| ~ spl0_222 ),
inference(avatar_split_clause,[],[f63776,f51737,f19783,f4388,f3119,f2651,f2071,f2413]) ).
thf(f63776,plain,
( ( $false = vAPP($o,$o,f1,$false) )
| ~ spl0_98
| ~ spl0_110
| ~ spl0_125
| ~ spl0_140
| ~ spl0_173
| ~ spl0_222 ),
inference(forward_demodulation,[],[f63774,f19785]) ).
thf(f63774,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,$false)) )
| ~ spl0_98
| ~ spl0_110
| ~ spl0_125
| ~ spl0_140
| ~ spl0_222 ),
inference(backward_demodulation,[],[f63449,f4390]) ).
thf(f63449,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$false)))) )
| ~ spl0_98
| ~ spl0_110
| ~ spl0_125
| ~ spl0_222 ),
inference(forward_demodulation,[],[f63448,f51739]) ).
thf(f63448,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$true)))))) )
| ~ spl0_98
| ~ spl0_110
| ~ spl0_125 ),
inference(backward_demodulation,[],[f63400,f3121]) ).
thf(f63400,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$true)))))))) )
| ~ spl0_98
| ~ spl0_110 ),
inference(forward_demodulation,[],[f2073,f2653]) ).
thf(f63681,plain,
( spl0_166
| ~ spl0_7
| ~ spl0_29
| ~ spl0_98
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f63431,f2651,f2071,f177,f78,f7911]) ).
thf(f63431,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,$false)) )
| ~ spl0_7
| ~ spl0_29
| ~ spl0_98
| ~ spl0_110 ),
inference(forward_demodulation,[],[f63147,f63400]) ).
thf(f63147,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$true)))))))))) )
| ~ spl0_7
| ~ spl0_29
| ~ spl0_110 ),
inference(forward_demodulation,[],[f63146,f2653]) ).
thf(f63146,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$false))))))))))) )
| ~ spl0_7
| ~ spl0_29 ),
inference(forward_demodulation,[],[f179,f80]) ).
thf(f63668,plain,
( spl0_10
| ~ spl0_30
| ~ spl0_99
| ~ spl0_104
| ~ spl0_120
| ~ spl0_138
| ~ spl0_143
| ~ spl0_173
| ~ spl0_222 ),
inference(avatar_contradiction_clause,[],[f63667]) ).
thf(f63667,plain,
( $false
| spl0_10
| ~ spl0_30
| ~ spl0_99
| ~ spl0_104
| ~ spl0_120
| ~ spl0_138
| ~ spl0_143
| ~ spl0_173
| ~ spl0_222 ),
inference(subsumption_resolution,[],[f63666,f183]) ).
thf(f63666,plain,
( ( $true != vAPP($o,$o,f0,$true) )
| spl0_10
| ~ spl0_99
| ~ spl0_104
| ~ spl0_120
| ~ spl0_138
| ~ spl0_143
| ~ spl0_173
| ~ spl0_222 ),
inference(forward_demodulation,[],[f63665,f2165]) ).
thf(f63665,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| spl0_10
| ~ spl0_99
| ~ spl0_104
| ~ spl0_120
| ~ spl0_138
| ~ spl0_143
| ~ spl0_173
| ~ spl0_222 ),
inference(forward_demodulation,[],[f63664,f2419]) ).
thf(f63664,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) )
| spl0_10
| ~ spl0_99
| ~ spl0_120
| ~ spl0_138
| ~ spl0_143
| ~ spl0_173
| ~ spl0_222 ),
inference(forward_demodulation,[],[f63663,f2165]) ).
thf(f63663,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| spl0_10
| ~ spl0_120
| ~ spl0_138
| ~ spl0_143
| ~ spl0_173
| ~ spl0_222 ),
inference(forward_demodulation,[],[f63662,f19785]) ).
thf(f63662,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$false))))) )
| spl0_10
| ~ spl0_120
| ~ spl0_138
| ~ spl0_143
| ~ spl0_222 ),
inference(forward_demodulation,[],[f63661,f4461]) ).
thf(f63661,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$true)))))) )
| spl0_10
| ~ spl0_120
| ~ spl0_138
| ~ spl0_222 ),
inference(forward_demodulation,[],[f63660,f4314]) ).
thf(f63660,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$false))))))) )
| spl0_10
| ~ spl0_120
| ~ spl0_222 ),
inference(forward_demodulation,[],[f63659,f51739]) ).
thf(f63659,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))))))))) )
| spl0_10
| ~ spl0_120 ),
inference(forward_demodulation,[],[f63658,f3074]) ).
thf(f63658,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$true)))))))))) )
| spl0_10
| ~ spl0_120 ),
inference(forward_demodulation,[],[f92,f3074]) ).
thf(f92,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$true))))))))))) )
| spl0_10 ),
inference(avatar_component_clause,[],[f91]) ).
thf(f63636,plain,
( ~ spl0_7
| spl0_17
| ~ spl0_110
| ~ spl0_120
| ~ spl0_222 ),
inference(avatar_contradiction_clause,[],[f63635]) ).
thf(f63635,plain,
( $false
| ~ spl0_7
| spl0_17
| ~ spl0_110
| ~ spl0_120
| ~ spl0_222 ),
inference(subsumption_resolution,[],[f63634,f51739]) ).
thf(f63634,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,$true)) )
| ~ spl0_7
| spl0_17
| ~ spl0_110
| ~ spl0_120 ),
inference(forward_demodulation,[],[f63633,f3074]) ).
thf(f63633,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$true))) )
| ~ spl0_7
| spl0_17
| ~ spl0_110
| ~ spl0_120 ),
inference(forward_demodulation,[],[f63632,f3074]) ).
thf(f63632,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$true)))) )
| ~ spl0_7
| spl0_17
| ~ spl0_110 ),
inference(forward_demodulation,[],[f63631,f2653]) ).
thf(f63631,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$false))))) )
| ~ spl0_7
| spl0_17 ),
inference(forward_demodulation,[],[f124,f80]) ).
thf(f63582,plain,
( spl0_56
| ~ spl0_91
| ~ spl0_99
| ~ spl0_104
| ~ spl0_120
| ~ spl0_138
| ~ spl0_143
| ~ spl0_173
| ~ spl0_222 ),
inference(avatar_contradiction_clause,[],[f63581]) ).
thf(f63581,plain,
( $false
| spl0_56
| ~ spl0_91
| ~ spl0_99
| ~ spl0_104
| ~ spl0_120
| ~ spl0_138
| ~ spl0_143
| ~ spl0_173
| ~ spl0_222 ),
inference(subsumption_resolution,[],[f63580,f485]) ).
thf(f63580,plain,
( ( $false = vAPP($o,$o,f0,$true) )
| ~ spl0_91
| ~ spl0_99
| ~ spl0_104
| ~ spl0_120
| ~ spl0_138
| ~ spl0_143
| ~ spl0_173
| ~ spl0_222 ),
inference(forward_demodulation,[],[f63579,f2165]) ).
thf(f63579,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ~ spl0_91
| ~ spl0_99
| ~ spl0_104
| ~ spl0_120
| ~ spl0_138
| ~ spl0_143
| ~ spl0_173
| ~ spl0_222 ),
inference(forward_demodulation,[],[f63578,f2419]) ).
thf(f63578,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) )
| ~ spl0_91
| ~ spl0_99
| ~ spl0_120
| ~ spl0_138
| ~ spl0_143
| ~ spl0_173
| ~ spl0_222 ),
inference(forward_demodulation,[],[f63577,f2165]) ).
thf(f63577,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ~ spl0_91
| ~ spl0_120
| ~ spl0_138
| ~ spl0_143
| ~ spl0_173
| ~ spl0_222 ),
inference(forward_demodulation,[],[f63576,f19785]) ).
thf(f63576,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$false))))) )
| ~ spl0_91
| ~ spl0_120
| ~ spl0_138
| ~ spl0_143
| ~ spl0_222 ),
inference(forward_demodulation,[],[f63575,f4461]) ).
thf(f63575,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$true)))))) )
| ~ spl0_91
| ~ spl0_120
| ~ spl0_138
| ~ spl0_222 ),
inference(forward_demodulation,[],[f63574,f4314]) ).
thf(f63574,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$false))))))) )
| ~ spl0_91
| ~ spl0_120
| ~ spl0_222 ),
inference(forward_demodulation,[],[f63573,f51739]) ).
thf(f63573,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))))))))) )
| ~ spl0_91
| ~ spl0_120 ),
inference(forward_demodulation,[],[f63572,f3074]) ).
thf(f63572,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$true)))))))))) )
| ~ spl0_91
| ~ spl0_120 ),
inference(forward_demodulation,[],[f63571,f3074]) ).
thf(f63571,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$true))))))))))) )
| ~ spl0_91
| ~ spl0_120 ),
inference(forward_demodulation,[],[f1660,f3074]) ).
thf(f63534,plain,
( spl0_56
| ~ spl0_99
| ~ spl0_104
| ~ spl0_132
| ~ spl0_138
| ~ spl0_143
| ~ spl0_173
| ~ spl0_222 ),
inference(avatar_contradiction_clause,[],[f63533]) ).
thf(f63533,plain,
( $false
| spl0_56
| ~ spl0_99
| ~ spl0_104
| ~ spl0_132
| ~ spl0_138
| ~ spl0_143
| ~ spl0_173
| ~ spl0_222 ),
inference(subsumption_resolution,[],[f63532,f485]) ).
thf(f63532,plain,
( ( $false = vAPP($o,$o,f0,$true) )
| ~ spl0_99
| ~ spl0_104
| ~ spl0_132
| ~ spl0_138
| ~ spl0_143
| ~ spl0_173
| ~ spl0_222 ),
inference(forward_demodulation,[],[f63531,f2165]) ).
thf(f63531,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ~ spl0_99
| ~ spl0_104
| ~ spl0_132
| ~ spl0_138
| ~ spl0_143
| ~ spl0_173
| ~ spl0_222 ),
inference(forward_demodulation,[],[f63530,f2419]) ).
thf(f63530,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) )
| ~ spl0_99
| ~ spl0_132
| ~ spl0_138
| ~ spl0_143
| ~ spl0_173
| ~ spl0_222 ),
inference(forward_demodulation,[],[f63529,f2165]) ).
thf(f63529,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ~ spl0_132
| ~ spl0_138
| ~ spl0_143
| ~ spl0_173
| ~ spl0_222 ),
inference(forward_demodulation,[],[f63528,f19785]) ).
thf(f63528,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$false))))) )
| ~ spl0_132
| ~ spl0_138
| ~ spl0_143
| ~ spl0_222 ),
inference(forward_demodulation,[],[f63527,f4461]) ).
thf(f63527,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$true)))))) )
| ~ spl0_132
| ~ spl0_138
| ~ spl0_222 ),
inference(forward_demodulation,[],[f63526,f4314]) ).
thf(f63526,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$false))))))) )
| ~ spl0_132
| ~ spl0_222 ),
inference(forward_demodulation,[],[f3271,f51739]) ).
thf(f63415,plain,
( spl0_16
| ~ spl0_30
| ~ spl0_99
| ~ spl0_104
| ~ spl0_138
| ~ spl0_143
| ~ spl0_173 ),
inference(avatar_contradiction_clause,[],[f63414]) ).
thf(f63414,plain,
( $false
| spl0_16
| ~ spl0_30
| ~ spl0_99
| ~ spl0_104
| ~ spl0_138
| ~ spl0_143
| ~ spl0_173 ),
inference(subsumption_resolution,[],[f63413,f183]) ).
thf(f63413,plain,
( ( $true != vAPP($o,$o,f0,$true) )
| spl0_16
| ~ spl0_99
| ~ spl0_104
| ~ spl0_138
| ~ spl0_143
| ~ spl0_173 ),
inference(forward_demodulation,[],[f63412,f2165]) ).
thf(f63412,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| spl0_16
| ~ spl0_99
| ~ spl0_104
| ~ spl0_138
| ~ spl0_143
| ~ spl0_173 ),
inference(forward_demodulation,[],[f63411,f2419]) ).
thf(f63411,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) )
| spl0_16
| ~ spl0_99
| ~ spl0_138
| ~ spl0_143
| ~ spl0_173 ),
inference(forward_demodulation,[],[f63410,f2165]) ).
thf(f63410,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| spl0_16
| ~ spl0_138
| ~ spl0_143
| ~ spl0_173 ),
inference(forward_demodulation,[],[f63409,f19785]) ).
thf(f63409,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$false))))) )
| spl0_16
| ~ spl0_138
| ~ spl0_143 ),
inference(forward_demodulation,[],[f63408,f4461]) ).
thf(f63408,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$true)))))) )
| spl0_16
| ~ spl0_138
| ~ spl0_143 ),
inference(forward_demodulation,[],[f63188,f4314]) ).
thf(f63188,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$false))))))) )
| spl0_16
| ~ spl0_143 ),
inference(forward_demodulation,[],[f119,f4461]) ).
thf(f119,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$true)))))))) )
| spl0_16 ),
inference(avatar_component_clause,[],[f118]) ).
thf(f63407,plain,
( ~ spl0_171
| ~ spl0_110
| spl0_134 ),
inference(avatar_split_clause,[],[f63406,f3279,f2651,f14053]) ).
thf(f63406,plain,
( ( $false != vAPP($o,$o,f4,vAPP($o,$o,f5,$true)) )
| ~ spl0_110
| spl0_134 ),
inference(forward_demodulation,[],[f3280,f2653]) ).
thf(f3280,plain,
( ( $false != vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false))) )
| spl0_134 ),
inference(avatar_component_clause,[],[f3279]) ).
thf(f63381,plain,
( ~ spl0_93
| ~ spl0_99
| ~ spl0_104
| spl0_131
| ~ spl0_138
| ~ spl0_140
| ~ spl0_184 ),
inference(avatar_contradiction_clause,[],[f63380]) ).
thf(f63380,plain,
( $false
| ~ spl0_93
| ~ spl0_99
| ~ spl0_104
| spl0_131
| ~ spl0_138
| ~ spl0_140
| ~ spl0_184 ),
inference(subsumption_resolution,[],[f63379,f1670]) ).
thf(f63379,plain,
( ( $false != vAPP($o,$o,f0,$false) )
| ~ spl0_99
| ~ spl0_104
| spl0_131
| ~ spl0_138
| ~ spl0_140
| ~ spl0_184 ),
inference(forward_demodulation,[],[f63378,f2419]) ).
thf(f63378,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ~ spl0_99
| ~ spl0_104
| spl0_131
| ~ spl0_138
| ~ spl0_140
| ~ spl0_184 ),
inference(forward_demodulation,[],[f63377,f2165]) ).
thf(f63377,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ~ spl0_104
| spl0_131
| ~ spl0_138
| ~ spl0_140
| ~ spl0_184 ),
inference(forward_demodulation,[],[f63376,f2419]) ).
thf(f63376,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$true)))) )
| spl0_131
| ~ spl0_138
| ~ spl0_140
| ~ spl0_184 ),
inference(forward_demodulation,[],[f63365,f31813]) ).
thf(f63365,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))))) )
| spl0_131
| ~ spl0_138
| ~ spl0_140 ),
inference(backward_demodulation,[],[f63330,f4314]) ).
thf(f63330,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$false)))))) )
| spl0_131
| ~ spl0_140 ),
inference(backward_demodulation,[],[f3264,f4390]) ).
thf(f3264,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$false)))))))) )
| spl0_131 ),
inference(avatar_component_clause,[],[f3263]) ).
thf(f3263,plain,
( spl0_131
<=> ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$false)))))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).
thf(f63375,plain,
( ~ spl0_99
| ~ spl0_104
| ~ spl0_138
| ~ spl0_143
| spl0_167
| ~ spl0_184 ),
inference(avatar_contradiction_clause,[],[f63374]) ).
thf(f63374,plain,
( $false
| ~ spl0_99
| ~ spl0_104
| ~ spl0_138
| ~ spl0_143
| spl0_167
| ~ spl0_184 ),
inference(subsumption_resolution,[],[f63373,f2419]) ).
thf(f63373,plain,
( ( $false != vAPP($o,$o,f1,$true) )
| ~ spl0_99
| ~ spl0_104
| ~ spl0_138
| ~ spl0_143
| spl0_167
| ~ spl0_184 ),
inference(forward_demodulation,[],[f63372,f2165]) ).
thf(f63372,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,$false)) )
| ~ spl0_104
| ~ spl0_138
| ~ spl0_143
| spl0_167
| ~ spl0_184 ),
inference(forward_demodulation,[],[f63371,f2419]) ).
thf(f63371,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) )
| ~ spl0_138
| ~ spl0_143
| spl0_167
| ~ spl0_184 ),
inference(forward_demodulation,[],[f63364,f31813]) ).
thf(f63364,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$true)))) )
| ~ spl0_138
| ~ spl0_143
| spl0_167 ),
inference(backward_demodulation,[],[f62864,f4314]) ).
thf(f62864,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$false))))) )
| ~ spl0_143
| spl0_167 ),
inference(forward_demodulation,[],[f8069,f4461]) ).
thf(f63354,plain,
( ~ spl0_99
| ~ spl0_104
| ~ spl0_184
| spl0_193 ),
inference(avatar_contradiction_clause,[],[f63353]) ).
thf(f63353,plain,
( $false
| ~ spl0_99
| ~ spl0_104
| ~ spl0_184
| spl0_193 ),
inference(subsumption_resolution,[],[f63352,f2419]) ).
thf(f63352,plain,
( ( $false != vAPP($o,$o,f1,$true) )
| ~ spl0_99
| ~ spl0_104
| ~ spl0_184
| spl0_193 ),
inference(forward_demodulation,[],[f63351,f2165]) ).
thf(f63351,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,$false)) )
| ~ spl0_104
| ~ spl0_184
| spl0_193 ),
inference(forward_demodulation,[],[f63350,f2419]) ).
thf(f63350,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) )
| ~ spl0_184
| spl0_193 ),
inference(forward_demodulation,[],[f33085,f31813]) ).
thf(f63337,plain,
( ~ spl0_7
| ~ spl0_17
| spl0_23
| ~ spl0_140
| ~ spl0_173 ),
inference(avatar_contradiction_clause,[],[f63336]) ).
thf(f63336,plain,
( $false
| ~ spl0_7
| ~ spl0_17
| spl0_23
| ~ spl0_140
| ~ spl0_173 ),
inference(subsumption_resolution,[],[f63331,f19785]) ).
thf(f63331,plain,
( ( $false != vAPP($o,$o,f2,$false) )
| ~ spl0_7
| ~ spl0_17
| spl0_23
| ~ spl0_140 ),
inference(backward_demodulation,[],[f62730,f4390]) ).
thf(f62730,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$false))) )
| ~ spl0_7
| ~ spl0_17
| spl0_23 ),
inference(forward_demodulation,[],[f62356,f62703]) ).
thf(f62703,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$false))))) )
| ~ spl0_7
| ~ spl0_17 ),
inference(forward_demodulation,[],[f125,f80]) ).
thf(f62356,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$false)))))))) )
| ~ spl0_7
| spl0_23 ),
inference(forward_demodulation,[],[f151,f80]) ).
thf(f63328,plain,
( spl0_157
| ~ spl0_7
| ~ spl0_17
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f62711,f132,f123,f78,f6226]) ).
thf(f62711,plain,
( ( $false = vAPP($o,$o,f3,$false) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_demodulation,[],[f62695,f62703]) ).
thf(f62695,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$false)))))) )
| ~ spl0_7
| ~ spl0_19 ),
inference(forward_demodulation,[],[f134,f80]) ).
thf(f63313,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_14
| ~ spl0_110
| ~ spl0_111
| ~ spl0_222 ),
inference(avatar_contradiction_clause,[],[f63312]) ).
thf(f63312,plain,
( $false
| ~ spl0_4
| ~ spl0_7
| ~ spl0_14
| ~ spl0_110
| ~ spl0_111
| ~ spl0_222 ),
inference(trivial_inequality_removal,[],[f63311]) ).
thf(f63311,plain,
( ( $true = $false )
| ~ spl0_4
| ~ spl0_7
| ~ spl0_14
| ~ spl0_110
| ~ spl0_111
| ~ spl0_222 ),
inference(forward_demodulation,[],[f63197,f63225]) ).
thf(f63225,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$false))))))) )
| ~ spl0_4
| ~ spl0_7
| ~ spl0_110
| ~ spl0_111
| ~ spl0_222 ),
inference(forward_demodulation,[],[f63224,f51739]) ).
thf(f63224,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))))))))) )
| ~ spl0_4
| ~ spl0_7
| ~ spl0_110
| ~ spl0_111 ),
inference(forward_demodulation,[],[f63223,f2653]) ).
thf(f63223,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$false)))))))))) )
| ~ spl0_4
| ~ spl0_7
| ~ spl0_110
| ~ spl0_111 ),
inference(forward_demodulation,[],[f63222,f2661]) ).
thf(f63222,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$true))))))))))) )
| ~ spl0_4
| ~ spl0_7
| ~ spl0_110 ),
inference(forward_demodulation,[],[f63221,f2653]) ).
thf(f63221,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$false)))))))))))) )
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f25,f80]) ).
thf(f63197,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$false))))))) )
| ~ spl0_14
| ~ spl0_222 ),
inference(forward_demodulation,[],[f111,f51739]) ).
thf(f111,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))))))))) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f109]) ).
thf(f63196,plain,
( spl0_16
| ~ spl0_30
| ~ spl0_99
| ~ spl0_104
| ~ spl0_143
| ~ spl0_157
| ~ spl0_173 ),
inference(avatar_contradiction_clause,[],[f63195]) ).
thf(f63195,plain,
( $false
| spl0_16
| ~ spl0_30
| ~ spl0_99
| ~ spl0_104
| ~ spl0_143
| ~ spl0_157
| ~ spl0_173 ),
inference(subsumption_resolution,[],[f63194,f183]) ).
thf(f63194,plain,
( ( $true != vAPP($o,$o,f0,$true) )
| spl0_16
| ~ spl0_99
| ~ spl0_104
| ~ spl0_143
| ~ spl0_157
| ~ spl0_173 ),
inference(forward_demodulation,[],[f63193,f2165]) ).
thf(f63193,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| spl0_16
| ~ spl0_99
| ~ spl0_104
| ~ spl0_143
| ~ spl0_157
| ~ spl0_173 ),
inference(forward_demodulation,[],[f63192,f2419]) ).
thf(f63192,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) )
| spl0_16
| ~ spl0_99
| ~ spl0_143
| ~ spl0_157
| ~ spl0_173 ),
inference(forward_demodulation,[],[f63191,f2165]) ).
thf(f63191,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| spl0_16
| ~ spl0_143
| ~ spl0_157
| ~ spl0_173 ),
inference(forward_demodulation,[],[f63190,f19785]) ).
thf(f63190,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$false))))) )
| spl0_16
| ~ spl0_143
| ~ spl0_157 ),
inference(forward_demodulation,[],[f63189,f6228]) ).
thf(f63189,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$false)))))) )
| spl0_16
| ~ spl0_143
| ~ spl0_157 ),
inference(forward_demodulation,[],[f63188,f6228]) ).
thf(f62883,plain,
( ~ spl0_103
| ~ spl0_157
| spl0_162
| ~ spl0_166
| ~ spl0_173 ),
inference(avatar_split_clause,[],[f62882,f19783,f7911,f6339,f6226,f2413]) ).
thf(f62882,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ~ spl0_157
| spl0_162
| ~ spl0_166
| ~ spl0_173 ),
inference(forward_demodulation,[],[f62881,f7913]) ).
thf(f62881,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ~ spl0_157
| spl0_162
| ~ spl0_173 ),
inference(forward_demodulation,[],[f62880,f19785]) ).
thf(f62880,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$false)))) )
| ~ spl0_157
| spl0_162 ),
inference(forward_demodulation,[],[f62879,f6228]) ).
thf(f62879,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$false))))) )
| ~ spl0_157
| spl0_162 ),
inference(forward_demodulation,[],[f62878,f6228]) ).
thf(f62878,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$false)))))) )
| ~ spl0_157
| spl0_162 ),
inference(forward_demodulation,[],[f6340,f6228]) ).
thf(f6340,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$false))))))) )
| spl0_162 ),
inference(avatar_component_clause,[],[f6339]) ).
thf(f62877,plain,
( ~ spl0_7
| ~ spl0_17
| ~ spl0_107
| spl0_154
| ~ spl0_157
| ~ spl0_165
| ~ spl0_166
| ~ spl0_168
| ~ spl0_173 ),
inference(avatar_contradiction_clause,[],[f62876]) ).
thf(f62876,plain,
( $false
| ~ spl0_7
| ~ spl0_17
| ~ spl0_107
| spl0_154
| ~ spl0_157
| ~ spl0_165
| ~ spl0_166
| ~ spl0_168
| ~ spl0_173 ),
inference(subsumption_resolution,[],[f62875,f5829]) ).
thf(f62875,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_107
| ~ spl0_157
| ~ spl0_165
| ~ spl0_166
| ~ spl0_168
| ~ spl0_173 ),
inference(forward_demodulation,[],[f62874,f7913]) ).
thf(f62874,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_107
| ~ spl0_157
| ~ spl0_165
| ~ spl0_168
| ~ spl0_173 ),
inference(forward_demodulation,[],[f62873,f19785]) ).
thf(f62873,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$false))))) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_107
| ~ spl0_157
| ~ spl0_165
| ~ spl0_168 ),
inference(forward_demodulation,[],[f62872,f6228]) ).
thf(f62872,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$false)))))) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_107
| ~ spl0_157
| ~ spl0_165
| ~ spl0_168 ),
inference(forward_demodulation,[],[f62871,f6228]) ).
thf(f62871,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$false))))))) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_107
| ~ spl0_165
| ~ spl0_168 ),
inference(forward_demodulation,[],[f62870,f62749]) ).
thf(f62749,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$false))) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_107 ),
inference(backward_demodulation,[],[f62703,f2637]) ).
thf(f62870,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$false)))))))))) )
| ~ spl0_107
| ~ spl0_165
| ~ spl0_168 ),
inference(forward_demodulation,[],[f62869,f2637]) ).
thf(f62869,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$false)))))))))))) )
| ~ spl0_165
| ~ spl0_168 ),
inference(forward_demodulation,[],[f7637,f9125]) ).
thf(f7637,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,$true))))))))))))) )
| ~ spl0_165 ),
inference(avatar_component_clause,[],[f7635]) ).
thf(f7635,plain,
( spl0_165
<=> ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,$true))))))))))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).
thf(f62868,plain,
( ~ spl0_103
| ~ spl0_143
| ~ spl0_157
| ~ spl0_166
| spl0_167
| ~ spl0_173 ),
inference(avatar_split_clause,[],[f62867,f19783,f8068,f7911,f6226,f4459,f2413]) ).
thf(f62867,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ~ spl0_143
| ~ spl0_157
| ~ spl0_166
| spl0_167
| ~ spl0_173 ),
inference(forward_demodulation,[],[f62866,f7913]) ).
thf(f62866,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ~ spl0_143
| ~ spl0_157
| spl0_167
| ~ spl0_173 ),
inference(forward_demodulation,[],[f62865,f19785]) ).
thf(f62865,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$false)))) )
| ~ spl0_143
| ~ spl0_157
| spl0_167 ),
inference(forward_demodulation,[],[f62864,f6228]) ).
thf(f62792,plain,
( spl0_173
| ~ spl0_215
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f62791,f51707,f51702,f19783]) ).
thf(f62791,plain,
( ( $false = vAPP($o,$o,f2,$false) )
| ~ spl0_215
| ~ spl0_216 ),
inference(forward_demodulation,[],[f51704,f51709]) ).
thf(f62767,plain,
( spl0_173
| ~ spl0_164
| ~ spl0_178 ),
inference(avatar_split_clause,[],[f62557,f27616,f7255,f19783]) ).
thf(f62557,plain,
( ( $false = vAPP($o,$o,f2,$false) )
| ~ spl0_164
| ~ spl0_178 ),
inference(backward_demodulation,[],[f27618,f7256]) ).
thf(f62733,plain,
( ~ spl0_173
| ~ spl0_7
| ~ spl0_17
| spl0_23
| ~ spl0_157 ),
inference(avatar_split_clause,[],[f62732,f6226,f150,f123,f78,f19783]) ).
thf(f62732,plain,
( ( $false != vAPP($o,$o,f2,$false) )
| ~ spl0_7
| ~ spl0_17
| spl0_23
| ~ spl0_157 ),
inference(forward_demodulation,[],[f62731,f6228]) ).
thf(f62731,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f3,$false)) )
| ~ spl0_7
| ~ spl0_17
| spl0_23
| ~ spl0_157 ),
inference(forward_demodulation,[],[f62730,f6228]) ).
thf(f62715,plain,
( spl0_174
| ~ spl0_7
| ~ spl0_17
| ~ spl0_98
| ~ spl0_157 ),
inference(avatar_split_clause,[],[f62714,f6226,f2071,f123,f78,f22938]) ).
thf(f62714,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,$false)) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_98
| ~ spl0_157 ),
inference(forward_demodulation,[],[f62713,f6228]) ).
thf(f62713,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$false))) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_98
| ~ spl0_157 ),
inference(forward_demodulation,[],[f62712,f6228]) ).
thf(f62712,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$false)))) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_98 ),
inference(forward_demodulation,[],[f2073,f62703]) ).
thf(f62710,plain,
( ~ spl0_7
| ~ spl0_17
| ~ spl0_89
| spl0_173
| ~ spl0_216 ),
inference(avatar_contradiction_clause,[],[f62709]) ).
thf(f62709,plain,
( $false
| ~ spl0_7
| ~ spl0_17
| ~ spl0_89
| spl0_173
| ~ spl0_216 ),
inference(subsumption_resolution,[],[f62707,f19784]) ).
thf(f62707,plain,
( ( $false = vAPP($o,$o,f2,$false) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_89
| ~ spl0_216 ),
inference(backward_demodulation,[],[f51709,f62706]) ).
thf(f62706,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,$false)) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_89 ),
inference(forward_demodulation,[],[f62705,f1412]) ).
thf(f62705,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$false))) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_89 ),
inference(forward_demodulation,[],[f62704,f1412]) ).
thf(f62704,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false)))) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_89 ),
inference(forward_demodulation,[],[f62703,f1412]) ).
thf(f62545,plain,
( spl0_94
| ~ spl0_26
| ~ spl0_169 ),
inference(avatar_split_clause,[],[f62541,f9659,f163,f1674]) ).
thf(f62541,plain,
( ( $true = vAPP($o,$o,f0,$false) )
| ~ spl0_26
| ~ spl0_169 ),
inference(backward_demodulation,[],[f165,f9661]) ).
thf(f9661,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) )
| ~ spl0_169 ),
inference(avatar_component_clause,[],[f9659]) ).
thf(f165,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) )
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f163]) ).
thf(f62537,plain,
( ~ spl0_166
| ~ spl0_157
| ~ spl0_174
| ~ spl0_223
| spl0_227 ),
inference(avatar_split_clause,[],[f62532,f58796,f55684,f22938,f6226,f7911]) ).
thf(f62532,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,$false)) )
| ~ spl0_157
| ~ spl0_174
| ~ spl0_223
| spl0_227 ),
inference(backward_demodulation,[],[f62459,f22940]) ).
thf(f62459,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$false)))) )
| ~ spl0_157
| ~ spl0_223
| spl0_227 ),
inference(forward_demodulation,[],[f62454,f6228]) ).
thf(f62454,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$false))))) )
| ~ spl0_223
| spl0_227 ),
inference(backward_demodulation,[],[f58797,f55685]) ).
thf(f55685,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))) )
| ~ spl0_223 ),
inference(avatar_component_clause,[],[f55684]) ).
thf(f62479,plain,
( spl0_239
| ~ spl0_39
| ~ spl0_212
| ~ spl0_222
| ~ spl0_242 ),
inference(avatar_split_clause,[],[f62478,f60635,f51737,f51270,f371,f60534]) ).
thf(f62478,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$false)))) )
| ~ spl0_39
| ~ spl0_212
| ~ spl0_222
| ~ spl0_242 ),
inference(forward_demodulation,[],[f62477,f62462]) ).
thf(f62477,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$false))))))) )
| ~ spl0_39
| ~ spl0_212 ),
inference(backward_demodulation,[],[f373,f51271]) ).
thf(f62468,plain,
( ~ spl0_239
| spl0_36
| ~ spl0_219
| ~ spl0_222
| ~ spl0_242 ),
inference(avatar_split_clause,[],[f62467,f60635,f51737,f51722,f349,f60534]) ).
thf(f62467,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$false)))) )
| spl0_36
| ~ spl0_219
| ~ spl0_222
| ~ spl0_242 ),
inference(forward_demodulation,[],[f62465,f62462]) ).
thf(f62465,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$false))))))) )
| spl0_36
| ~ spl0_219 ),
inference(backward_demodulation,[],[f350,f51724]) ).
thf(f350,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$true))))))))))) )
| spl0_36 ),
inference(avatar_component_clause,[],[f349]) ).
thf(f62464,plain,
( spl0_239
| ~ spl0_222
| ~ spl0_231
| ~ spl0_242 ),
inference(avatar_split_clause,[],[f62463,f60635,f58906,f51737,f60534]) ).
thf(f62463,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$false)))) )
| ~ spl0_222
| ~ spl0_231
| ~ spl0_242 ),
inference(backward_demodulation,[],[f58908,f62462]) ).
thf(f62457,plain,
( spl0_131
| ~ spl0_132
| ~ spl0_157
| ~ spl0_223 ),
inference(avatar_contradiction_clause,[],[f62456]) ).
thf(f62456,plain,
( $false
| spl0_131
| ~ spl0_132
| ~ spl0_157
| ~ spl0_223 ),
inference(subsumption_resolution,[],[f62455,f62264]) ).
thf(f62264,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$false))))) )
| spl0_131
| ~ spl0_157 ),
inference(forward_demodulation,[],[f62263,f6228]) ).
thf(f62263,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$false)))))) )
| spl0_131
| ~ spl0_157 ),
inference(forward_demodulation,[],[f62262,f6228]) ).
thf(f62262,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$false))))))) )
| spl0_131
| ~ spl0_157 ),
inference(forward_demodulation,[],[f3264,f6228]) ).
thf(f62455,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$false))))) )
| ~ spl0_132
| ~ spl0_157
| ~ spl0_223 ),
inference(forward_demodulation,[],[f62452,f6228]) ).
thf(f62452,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$false)))))) )
| ~ spl0_132
| ~ spl0_223 ),
inference(backward_demodulation,[],[f3271,f55685]) ).
thf(f62449,plain,
( spl0_103
| ~ spl0_30
| ~ spl0_41
| spl0_56
| ~ spl0_242 ),
inference(avatar_split_clause,[],[f62448,f60635,f484,f388,f181,f2413]) ).
thf(f62448,plain,
( ( $false = vAPP($o,$o,f1,$false) )
| ~ spl0_30
| ~ spl0_41
| spl0_56
| ~ spl0_242 ),
inference(backward_demodulation,[],[f62038,f60637]) ).
thf(f62038,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true)))))) )
| ~ spl0_30
| ~ spl0_41
| spl0_56 ),
inference(subsumption_resolution,[],[f62037,f485]) ).
thf(f62037,plain,
( ( $false = vAPP($o,$o,f0,$true) )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true)))))) )
| ~ spl0_30
| ~ spl0_41 ),
inference(forward_demodulation,[],[f62036,f183]) ).
thf(f62036,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true)))))) )
| ~ spl0_30
| ~ spl0_41 ),
inference(forward_demodulation,[],[f61865,f183]) ).
thf(f61865,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true)))))) )
| ~ spl0_41 ),
inference(superposition,[],[f390,f4]) ).
thf(f390,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))))))))) )
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f388]) ).
thf(f62429,plain,
( spl0_230
| ~ spl0_207
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f62199,f51707,f43348,f58818]) ).
thf(f62199,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$false))) )
| ~ spl0_207
| ~ spl0_216 ),
inference(forward_demodulation,[],[f43350,f51709]) ).
thf(f62421,plain,
( spl0_241
| ~ spl0_41
| spl0_47 ),
inference(avatar_split_clause,[],[f62420,f433,f388,f60546]) ).
thf(f433,plain,
( spl0_47
<=> ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
thf(f62420,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))) )
| ~ spl0_41
| spl0_47 ),
inference(subsumption_resolution,[],[f61851,f434]) ).
thf(f434,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true)))))) )
| spl0_47 ),
inference(avatar_component_clause,[],[f433]) ).
thf(f61851,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true)))))) )
| ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))) )
| ~ spl0_41 ),
inference(superposition,[],[f390,f4]) ).
thf(f62419,plain,
( spl0_240
| spl0_49
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f61856,f388,f446,f60539]) ).
thf(f61856,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))))) )
| ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true)))) )
| ~ spl0_41 ),
inference(superposition,[],[f390,f4]) ).
thf(f62415,plain,
( ~ spl0_154
| spl0_4
| ~ spl0_7
| ~ spl0_89
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f62086,f1752,f1410,f78,f23,f5828]) ).
thf(f62086,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| spl0_4
| ~ spl0_7
| ~ spl0_89
| ~ spl0_96 ),
inference(forward_demodulation,[],[f61356,f61117]) ).
thf(f61117,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))))) )
| ~ spl0_89
| ~ spl0_96 ),
inference(forward_demodulation,[],[f61116,f1412]) ).
thf(f61116,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$false)))))))) )
| ~ spl0_89
| ~ spl0_96 ),
inference(forward_demodulation,[],[f61115,f1412]) ).
thf(f61115,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false))))))))) )
| ~ spl0_89
| ~ spl0_96 ),
inference(forward_demodulation,[],[f1754,f1412]) ).
thf(f61356,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))))))) )
| spl0_4
| ~ spl0_7
| ~ spl0_89 ),
inference(forward_demodulation,[],[f61355,f1412]) ).
thf(f61355,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$false)))))))))) )
| spl0_4
| ~ spl0_7
| ~ spl0_89 ),
inference(forward_demodulation,[],[f61354,f1412]) ).
thf(f61354,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false))))))))))) )
| spl0_4
| ~ spl0_7
| ~ spl0_89 ),
inference(forward_demodulation,[],[f61353,f1412]) ).
thf(f61353,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$false)))))))))))) )
| spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f24,f80]) ).
thf(f24,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,x))))))))))))) != $false )
| spl0_4 ),
inference(avatar_component_clause,[],[f23]) ).
thf(f62409,plain,
( spl0_93
| ~ spl0_30
| ~ spl0_41
| spl0_56 ),
inference(avatar_split_clause,[],[f62050,f484,f388,f181,f1668]) ).
thf(f62050,plain,
( ( $false = vAPP($o,$o,f0,$false) )
| ~ spl0_30
| ~ spl0_41
| spl0_56 ),
inference(forward_demodulation,[],[f62049,f62038]) ).
thf(f62049,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))))))) )
| ~ spl0_30
| ~ spl0_41
| spl0_56 ),
inference(subsumption_resolution,[],[f62048,f485]) ).
thf(f62048,plain,
( ( $false = vAPP($o,$o,f0,$true) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))))))) )
| ~ spl0_30
| ~ spl0_41 ),
inference(forward_demodulation,[],[f61870,f183]) ).
thf(f61870,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))))))) )
| ~ spl0_41 ),
inference(superposition,[],[f390,f4]) ).
thf(f62226,plain,
( ~ spl0_174
| ~ spl0_102
| spl0_197 ),
inference(avatar_split_clause,[],[f62225,f33151,f2235,f22938]) ).
thf(f62225,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,$false)) )
| ~ spl0_102
| spl0_197 ),
inference(forward_demodulation,[],[f33152,f2237]) ).
thf(f62192,plain,
( ~ spl0_99
| ~ spl0_139
| spl0_210
| ~ spl0_216 ),
inference(avatar_contradiction_clause,[],[f62191]) ).
thf(f62191,plain,
( $false
| ~ spl0_99
| ~ spl0_139
| spl0_210
| ~ spl0_216 ),
inference(subsumption_resolution,[],[f62190,f2165]) ).
thf(f62190,plain,
( ( $true != vAPP($o,$o,f1,$false) )
| ~ spl0_139
| spl0_210
| ~ spl0_216 ),
inference(forward_demodulation,[],[f62189,f4317]) ).
thf(f62189,plain,
( ( $true != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$false))) )
| spl0_210
| ~ spl0_216 ),
inference(forward_demodulation,[],[f43366,f51709]) ).
thf(f62182,plain,
( spl0_174
| ~ spl0_30
| ~ spl0_41
| spl0_56
| ~ spl0_240 ),
inference(avatar_split_clause,[],[f62180,f60539,f484,f388,f181,f22938]) ).
thf(f62180,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,$false)) )
| ~ spl0_30
| ~ spl0_41
| spl0_56
| ~ spl0_240 ),
inference(backward_demodulation,[],[f62038,f60540]) ).
thf(f62181,plain,
( ~ spl0_173
| ~ spl0_240
| spl0_242 ),
inference(avatar_split_clause,[],[f62179,f60635,f60539,f19783]) ).
thf(f62179,plain,
( ( $false != vAPP($o,$o,f2,$false) )
| ~ spl0_240
| spl0_242 ),
inference(backward_demodulation,[],[f60636,f60540]) ).
thf(f62152,plain,
( ~ spl0_247
| spl0_43
| ~ spl0_102
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f61234,f31775,f2235,f404,f62144]) ).
thf(f61234,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$false)))))) )
| spl0_43
| ~ spl0_102
| ~ spl0_180 ),
inference(forward_demodulation,[],[f61233,f2237]) ).
thf(f61233,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))))))) )
| spl0_43
| ~ spl0_180 ),
inference(forward_demodulation,[],[f405,f31777]) ).
thf(f62151,plain,
( spl0_247
| ~ spl0_41
| ~ spl0_102
| spl0_172
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f61902,f31775,f14057,f2235,f388,f62144]) ).
thf(f61902,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$false)))))) )
| ~ spl0_41
| ~ spl0_102
| spl0_172
| ~ spl0_180 ),
inference(forward_demodulation,[],[f61901,f2237]) ).
thf(f61901,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))))))) )
| ~ spl0_41
| spl0_172
| ~ spl0_180 ),
inference(forward_demodulation,[],[f61900,f31777]) ).
thf(f61900,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$true)))))))) )
| ~ spl0_41
| spl0_172 ),
inference(subsumption_resolution,[],[f61842,f14058]) ).
thf(f61842,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$true)))))))) )
| ( $false = vAPP($o,$o,f4,$true) )
| ~ spl0_41 ),
inference(superposition,[],[f390,f4]) ).
thf(f62148,plain,
( spl0_247
| ~ spl0_41
| ~ spl0_102
| spl0_222 ),
inference(avatar_split_clause,[],[f61928,f51737,f2235,f388,f62144]) ).
thf(f61928,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$false)))))) )
| ~ spl0_41
| ~ spl0_102
| spl0_222 ),
inference(forward_demodulation,[],[f61927,f2237]) ).
thf(f61927,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))))))) )
| ~ spl0_41
| spl0_222 ),
inference(subsumption_resolution,[],[f61846,f51738]) ).
thf(f61846,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))))))) )
| ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,$true)) )
| ~ spl0_41 ),
inference(superposition,[],[f390,f4]) ).
thf(f62142,plain,
( spl0_241
| spl0_246
| ~ spl0_41
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f61967,f2235,f388,f62138,f60546]) ).
thf(f61967,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$false))))) )
| ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))) )
| ~ spl0_41
| ~ spl0_102 ),
inference(forward_demodulation,[],[f61851,f2237]) ).
thf(f62090,plain,
( spl0_26
| ~ spl0_18
| ~ spl0_99
| ~ spl0_102
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f61297,f31775,f2235,f2163,f127,f163]) ).
thf(f61297,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) )
| ~ spl0_18
| ~ spl0_99
| ~ spl0_102
| ~ spl0_180 ),
inference(forward_demodulation,[],[f61296,f2165]) ).
thf(f61296,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ~ spl0_18
| ~ spl0_102
| ~ spl0_180 ),
inference(forward_demodulation,[],[f61295,f2237]) ).
thf(f61295,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))))) )
| ~ spl0_18
| ~ spl0_180 ),
inference(forward_demodulation,[],[f61294,f31777]) ).
thf(f61294,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$true)))))) )
| ~ spl0_18
| ~ spl0_180 ),
inference(forward_demodulation,[],[f129,f31777]) ).
thf(f62089,plain,
( spl0_26
| ~ spl0_16
| ~ spl0_99
| ~ spl0_102
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f61308,f31775,f2235,f2163,f118,f163]) ).
thf(f61308,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) )
| ~ spl0_16
| ~ spl0_99
| ~ spl0_102
| ~ spl0_180 ),
inference(forward_demodulation,[],[f61307,f2165]) ).
thf(f61307,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ~ spl0_16
| ~ spl0_102
| ~ spl0_180 ),
inference(forward_demodulation,[],[f61306,f2237]) ).
thf(f61306,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))))) )
| ~ spl0_16
| ~ spl0_180 ),
inference(forward_demodulation,[],[f61305,f31777]) ).
thf(f61305,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$true)))))) )
| ~ spl0_16
| ~ spl0_180 ),
inference(forward_demodulation,[],[f61304,f31777]) ).
thf(f61304,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$true))))))) )
| ~ spl0_16
| ~ spl0_180 ),
inference(forward_demodulation,[],[f120,f31777]) ).
thf(f62088,plain,
( spl0_242
| spl0_51
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f61861,f388,f458,f60635]) ).
thf(f61861,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))))) )
| ~ spl0_41 ),
inference(superposition,[],[f390,f4]) ).
thf(f62000,plain,
( spl0_240
| ~ spl0_30
| ~ spl0_41
| spl0_56
| ~ spl0_99
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f61999,f2235,f2163,f484,f388,f181,f60539]) ).
thf(f61999,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true)))) )
| ~ spl0_30
| ~ spl0_41
| spl0_56
| ~ spl0_99
| ~ spl0_102 ),
inference(subsumption_resolution,[],[f61998,f485]) ).
thf(f61998,plain,
( ( $false = vAPP($o,$o,f0,$true) )
| ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true)))) )
| ~ spl0_30
| ~ spl0_41
| ~ spl0_99
| ~ spl0_102 ),
inference(forward_demodulation,[],[f61997,f183]) ).
thf(f61997,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true)))) )
| ~ spl0_30
| ~ spl0_41
| ~ spl0_99
| ~ spl0_102 ),
inference(forward_demodulation,[],[f61996,f183]) ).
thf(f61996,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true)))) )
| ~ spl0_41
| ~ spl0_99
| ~ spl0_102 ),
inference(forward_demodulation,[],[f61995,f2165]) ).
thf(f61995,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$false)))) )
| ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true)))) )
| ~ spl0_41
| ~ spl0_102 ),
inference(forward_demodulation,[],[f61856,f2237]) ).
thf(f61622,plain,
( ~ spl0_66
| ~ spl0_93
| ~ spl0_102
| ~ spl0_104
| ~ spl0_182
| ~ spl0_219 ),
inference(avatar_contradiction_clause,[],[f61621]) ).
thf(f61621,plain,
( $false
| ~ spl0_66
| ~ spl0_93
| ~ spl0_102
| ~ spl0_104
| ~ spl0_182
| ~ spl0_219 ),
inference(trivial_inequality_removal,[],[f61620]) ).
thf(f61620,plain,
( ( $true = $false )
| ~ spl0_66
| ~ spl0_93
| ~ spl0_102
| ~ spl0_104
| ~ spl0_182
| ~ spl0_219 ),
inference(forward_demodulation,[],[f61619,f1670]) ).
thf(f61619,plain,
( ( $true = vAPP($o,$o,f0,$false) )
| ~ spl0_66
| ~ spl0_93
| ~ spl0_102
| ~ spl0_104
| ~ spl0_182
| ~ spl0_219 ),
inference(forward_demodulation,[],[f61618,f1670]) ).
thf(f61618,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,$false)) )
| ~ spl0_66
| ~ spl0_93
| ~ spl0_102
| ~ spl0_104
| ~ spl0_182
| ~ spl0_219 ),
inference(forward_demodulation,[],[f61617,f1670]) ).
thf(f61617,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$false))) )
| ~ spl0_66
| ~ spl0_102
| ~ spl0_104
| ~ spl0_182
| ~ spl0_219 ),
inference(forward_demodulation,[],[f61616,f2419]) ).
thf(f61616,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ~ spl0_66
| ~ spl0_102
| ~ spl0_182
| ~ spl0_219 ),
inference(forward_demodulation,[],[f61615,f59757]) ).
thf(f59757,plain,
( ( $true = vAPP($o,$o,f2,$false) )
| ~ spl0_102
| ~ spl0_182 ),
inference(backward_demodulation,[],[f31785,f2237]) ).
thf(f61615,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$false))))) )
| ~ spl0_66
| ~ spl0_102
| ~ spl0_182
| ~ spl0_219 ),
inference(forward_demodulation,[],[f61614,f2237]) ).
thf(f61614,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true)))))) )
| ~ spl0_66
| ~ spl0_102
| ~ spl0_182
| ~ spl0_219 ),
inference(forward_demodulation,[],[f61605,f59757]) ).
thf(f61605,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$false))))))) )
| ~ spl0_66
| ~ spl0_219 ),
inference(backward_demodulation,[],[f840,f51724]) ).
thf(f61454,plain,
( spl0_244
| ~ spl0_222
| spl0_219 ),
inference(avatar_split_clause,[],[f53957,f51722,f51737,f61451]) ).
thf(f53957,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,$true)) )
| ( $false = vAPP($o,$o,f4,vAPP($o,$o,f4,$true)) )
| spl0_219 ),
inference(superposition,[],[f51723,f4]) ).
thf(f61284,plain,
( ~ spl0_7
| ~ spl0_21
| ~ spl0_23
| ~ spl0_89
| spl0_173 ),
inference(avatar_contradiction_clause,[],[f61283]) ).
thf(f61283,plain,
( $false
| ~ spl0_7
| ~ spl0_21
| ~ spl0_23
| ~ spl0_89
| spl0_173 ),
inference(subsumption_resolution,[],[f61282,f19784]) ).
thf(f61282,plain,
( ( $false = vAPP($o,$o,f2,$false) )
| ~ spl0_7
| ~ spl0_21
| ~ spl0_23
| ~ spl0_89 ),
inference(forward_demodulation,[],[f61281,f60907]) ).
thf(f60907,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))) )
| ~ spl0_7
| ~ spl0_21
| ~ spl0_89 ),
inference(forward_demodulation,[],[f60906,f1412]) ).
thf(f60906,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$false))))) )
| ~ spl0_7
| ~ spl0_21
| ~ spl0_89 ),
inference(forward_demodulation,[],[f60905,f1412]) ).
thf(f60905,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false)))))) )
| ~ spl0_7
| ~ spl0_21
| ~ spl0_89 ),
inference(forward_demodulation,[],[f60904,f1412]) ).
thf(f60904,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$false))))))) )
| ~ spl0_7
| ~ spl0_21 ),
inference(forward_demodulation,[],[f143,f80]) ).
thf(f61281,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))) )
| ~ spl0_7
| ~ spl0_23
| ~ spl0_89 ),
inference(forward_demodulation,[],[f61280,f1412]) ).
thf(f61280,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$false)))))) )
| ~ spl0_7
| ~ spl0_23
| ~ spl0_89 ),
inference(forward_demodulation,[],[f61279,f1412]) ).
thf(f61279,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false))))))) )
| ~ spl0_7
| ~ spl0_23
| ~ spl0_89 ),
inference(forward_demodulation,[],[f61278,f1412]) ).
thf(f61278,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$false)))))))) )
| ~ spl0_7
| ~ spl0_23 ),
inference(forward_demodulation,[],[f152,f80]) ).
thf(f60994,plain,
( ~ spl0_222
| spl0_172
| spl0_212 ),
inference(avatar_split_clause,[],[f60993,f51270,f14057,f51737]) ).
thf(f60993,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,$true)) )
| spl0_172
| spl0_212 ),
inference(subsumption_resolution,[],[f53805,f14058]) ).
thf(f53805,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,$true)) )
| ( $false = vAPP($o,$o,f4,$true) )
| spl0_212 ),
inference(superposition,[],[f51272,f4]) ).
thf(f60646,plain,
( ~ spl0_51
| spl0_34
| ~ spl0_102
| ~ spl0_111
| ~ spl0_157
| ~ spl0_182
| ~ spl0_213 ),
inference(avatar_split_clause,[],[f60245,f51427,f31783,f6226,f2659,f2235,f340,f458]) ).
thf(f60245,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| spl0_34
| ~ spl0_102
| ~ spl0_111
| ~ spl0_157
| ~ spl0_182
| ~ spl0_213 ),
inference(forward_demodulation,[],[f60244,f59757]) ).
thf(f60244,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$false))))) )
| spl0_34
| ~ spl0_102
| ~ spl0_111
| ~ spl0_157
| ~ spl0_182
| ~ spl0_213 ),
inference(forward_demodulation,[],[f60243,f2237]) ).
thf(f60243,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true)))))) )
| spl0_34
| ~ spl0_102
| ~ spl0_111
| ~ spl0_157
| ~ spl0_182
| ~ spl0_213 ),
inference(forward_demodulation,[],[f60242,f59757]) ).
thf(f60242,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$false))))))) )
| spl0_34
| ~ spl0_111
| ~ spl0_157
| ~ spl0_213 ),
inference(forward_demodulation,[],[f60241,f6228]) ).
thf(f60241,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$false)))))))) )
| spl0_34
| ~ spl0_111
| ~ spl0_213 ),
inference(forward_demodulation,[],[f60240,f51429]) ).
thf(f60240,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$false))))))))))) )
| spl0_34
| ~ spl0_111 ),
inference(forward_demodulation,[],[f341,f2661]) ).
thf(f60633,plain,
( ~ spl0_143
| spl0_172
| spl0_222 ),
inference(avatar_split_clause,[],[f60632,f51737,f14057,f4459]) ).
thf(f60632,plain,
( ( $false != vAPP($o,$o,f3,$true) )
| spl0_172
| spl0_222 ),
inference(subsumption_resolution,[],[f53752,f14058]) ).
thf(f53752,plain,
( ( $false != vAPP($o,$o,f3,$true) )
| ( $false = vAPP($o,$o,f4,$true) )
| spl0_222 ),
inference(superposition,[],[f51738,f4]) ).
thf(f60629,plain,
( ~ spl0_143
| ~ spl0_157
| spl0_212 ),
inference(avatar_split_clause,[],[f60628,f51270,f6226,f4459]) ).
thf(f60628,plain,
( ( $false != vAPP($o,$o,f3,$true) )
| ~ spl0_157
| spl0_212 ),
inference(subsumption_resolution,[],[f53806,f53811]) ).
thf(f53811,plain,
( ( $false != vAPP($o,$o,f4,vAPP($o,$o,f4,$true)) )
| ~ spl0_157
| spl0_212 ),
inference(trivial_inequality_removal,[],[f53808]) ).
thf(f53808,plain,
( ( $false != $false )
| ( $false != vAPP($o,$o,f4,vAPP($o,$o,f4,$true)) )
| ~ spl0_157
| spl0_212 ),
inference(constrained_superposition,[],[f51272,f6228]) ).
thf(f53806,plain,
( ( $false != vAPP($o,$o,f3,$true) )
| ( $false = vAPP($o,$o,f4,vAPP($o,$o,f4,$true)) )
| spl0_212 ),
inference(superposition,[],[f51272,f4]) ).
thf(f60625,plain,
( ~ spl0_143
| ~ spl0_157
| spl0_219 ),
inference(avatar_split_clause,[],[f60624,f51722,f6226,f4459]) ).
thf(f60624,plain,
( ( $false != vAPP($o,$o,f3,$true) )
| ~ spl0_157
| spl0_219 ),
inference(subsumption_resolution,[],[f53958,f53963]) ).
thf(f53963,plain,
( ( $false != vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$true))) )
| ~ spl0_157
| spl0_219 ),
inference(trivial_inequality_removal,[],[f53960]) ).
thf(f53960,plain,
( ( $false != $false )
| ( $false != vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$true))) )
| ~ spl0_157
| spl0_219 ),
inference(constrained_superposition,[],[f51723,f6228]) ).
thf(f53958,plain,
( ( $false != vAPP($o,$o,f3,$true) )
| ( $false = vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$true))) )
| spl0_219 ),
inference(superposition,[],[f51723,f4]) ).
thf(f60623,plain,
( spl0_100
| ~ spl0_143
| ~ spl0_157
| spl0_219 ),
inference(avatar_split_clause,[],[f60622,f51722,f6226,f4459,f2167]) ).
thf(f2167,plain,
( spl0_100
<=> ! [X0: $o] : ( $false = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
thf(f60622,plain,
( ! [X0: $o] :
( ( $false != vAPP($o,$o,f3,$true) )
| ( $false = X0 ) )
| ~ spl0_157
| spl0_219 ),
inference(subsumption_resolution,[],[f53968,f53973]) ).
thf(f53973,plain,
( ! [X0: $o] :
( ( $false = X0 )
| ( $false != vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,X0))) ) )
| ~ spl0_157
| spl0_219 ),
inference(trivial_inequality_removal,[],[f53970]) ).
thf(f53970,plain,
( ! [X0: $o] :
( ( $false != $false )
| ( $false = X0 )
| ( $false != vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,X0))) ) )
| ~ spl0_157
| spl0_219 ),
inference(constrained_superposition,[],[f53955,f6228]) ).
thf(f53955,plain,
( ! [X0: $o] :
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,X0)))) )
| ( $false = X0 ) )
| spl0_219 ),
inference(superposition,[],[f51723,f4]) ).
thf(f53968,plain,
( ! [X0: $o] :
( ( $false != vAPP($o,$o,f3,$true) )
| ( $false = X0 )
| ( $false = vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,X0))) ) )
| spl0_219 ),
inference(superposition,[],[f53955,f4]) ).
thf(f60554,plain,
( spl0_166
| ~ spl0_7
| ~ spl0_29
| ~ spl0_89
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f59974,f2071,f1410,f177,f78,f7911]) ).
thf(f59974,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,$false)) )
| ~ spl0_7
| ~ spl0_29
| ~ spl0_89
| ~ spl0_98 ),
inference(forward_demodulation,[],[f59973,f59764]) ).
thf(f59764,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))))) )
| ~ spl0_89
| ~ spl0_98 ),
inference(forward_demodulation,[],[f59763,f1412]) ).
thf(f59763,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$false))))))) )
| ~ spl0_89
| ~ spl0_98 ),
inference(forward_demodulation,[],[f59762,f1412]) ).
thf(f59762,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false)))))))) )
| ~ spl0_89
| ~ spl0_98 ),
inference(forward_demodulation,[],[f2073,f1412]) ).
thf(f59973,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))))))) )
| ~ spl0_7
| ~ spl0_29
| ~ spl0_89 ),
inference(forward_demodulation,[],[f59972,f1412]) ).
thf(f59972,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$false))))))))) )
| ~ spl0_7
| ~ spl0_29
| ~ spl0_89 ),
inference(forward_demodulation,[],[f59971,f1412]) ).
thf(f59971,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false)))))))))) )
| ~ spl0_7
| ~ spl0_29
| ~ spl0_89 ),
inference(forward_demodulation,[],[f59970,f1412]) ).
thf(f59970,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$false))))))))))) )
| ~ spl0_7
| ~ spl0_29 ),
inference(forward_demodulation,[],[f179,f80]) ).
thf(f60544,plain,
( spl0_240
| ~ spl0_239
| spl0_41
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f60464,f2235,f388,f60534,f60539]) ).
thf(f60464,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$false)))) )
| ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true)))) )
| spl0_41
| ~ spl0_102 ),
inference(forward_demodulation,[],[f60336,f2237]) ).
thf(f60336,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))))) )
| ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true)))) )
| spl0_41 ),
inference(superposition,[],[f389,f4]) ).
thf(f60400,plain,
( spl0_41
| ~ spl0_93
| ~ spl0_102
| ~ spl0_103
| ~ spl0_182
| spl0_222 ),
inference(avatar_contradiction_clause,[],[f60399]) ).
thf(f60399,plain,
( $false
| spl0_41
| ~ spl0_93
| ~ spl0_102
| ~ spl0_103
| ~ spl0_182
| spl0_222 ),
inference(subsumption_resolution,[],[f60398,f1670]) ).
thf(f60398,plain,
( ( $false != vAPP($o,$o,f0,$false) )
| spl0_41
| ~ spl0_93
| ~ spl0_102
| ~ spl0_103
| ~ spl0_182
| spl0_222 ),
inference(forward_demodulation,[],[f60397,f1670]) ).
thf(f60397,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,$false)) )
| spl0_41
| ~ spl0_93
| ~ spl0_102
| ~ spl0_103
| ~ spl0_182
| spl0_222 ),
inference(forward_demodulation,[],[f60396,f1670]) ).
thf(f60396,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$false))) )
| spl0_41
| ~ spl0_102
| ~ spl0_103
| ~ spl0_182
| spl0_222 ),
inference(forward_demodulation,[],[f60395,f2415]) ).
thf(f60395,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$false)))) )
| spl0_41
| ~ spl0_102
| ~ spl0_182
| spl0_222 ),
inference(forward_demodulation,[],[f60394,f2237]) ).
thf(f60394,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))))) )
| spl0_41
| ~ spl0_102
| ~ spl0_182
| spl0_222 ),
inference(forward_demodulation,[],[f60393,f59757]) ).
thf(f60393,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$false)))))) )
| spl0_41
| ~ spl0_102
| spl0_222 ),
inference(forward_demodulation,[],[f60392,f2237]) ).
thf(f60392,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))))))) )
| spl0_41
| spl0_222 ),
inference(subsumption_resolution,[],[f60326,f51738]) ).
thf(f60326,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))))))) )
| ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,$true)) )
| spl0_41 ),
inference(superposition,[],[f389,f4]) ).
thf(f60079,plain,
( ~ spl0_30
| spl0_56
| ~ spl0_102
| ~ spl0_150
| ~ spl0_182
| ~ spl0_231 ),
inference(avatar_contradiction_clause,[],[f60078]) ).
thf(f60078,plain,
( $false
| ~ spl0_30
| spl0_56
| ~ spl0_102
| ~ spl0_150
| ~ spl0_182
| ~ spl0_231 ),
inference(subsumption_resolution,[],[f60077,f485]) ).
thf(f60077,plain,
( ( $false = vAPP($o,$o,f0,$true) )
| ~ spl0_30
| ~ spl0_102
| ~ spl0_150
| ~ spl0_182
| ~ spl0_231 ),
inference(forward_demodulation,[],[f60076,f183]) ).
thf(f60076,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ~ spl0_30
| ~ spl0_102
| ~ spl0_150
| ~ spl0_182
| ~ spl0_231 ),
inference(forward_demodulation,[],[f60075,f183]) ).
thf(f60075,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ~ spl0_102
| ~ spl0_150
| ~ spl0_182
| ~ spl0_231 ),
inference(forward_demodulation,[],[f60074,f5115]) ).
thf(f60074,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ~ spl0_102
| ~ spl0_182
| ~ spl0_231 ),
inference(forward_demodulation,[],[f60073,f59757]) ).
thf(f60073,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$false))))) )
| ~ spl0_102
| ~ spl0_182
| ~ spl0_231 ),
inference(forward_demodulation,[],[f60072,f2237]) ).
thf(f60072,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true)))))) )
| ~ spl0_102
| ~ spl0_182
| ~ spl0_231 ),
inference(forward_demodulation,[],[f58908,f59757]) ).
thf(f59663,plain,
( ~ spl0_198
| ~ spl0_180
| spl0_207
| spl0_211 ),
inference(avatar_split_clause,[],[f54167,f47486,f43348,f31775,f33174]) ).
thf(f54167,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true)))) )
| ~ spl0_180
| spl0_207
| spl0_211 ),
inference(forward_demodulation,[],[f54166,f31777]) ).
thf(f54166,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$true))))) )
| spl0_207
| spl0_211 ),
inference(subsumption_resolution,[],[f54147,f47487]) ).
thf(f54147,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$true))))) )
| ( $false = vAPP($o,$o,f4,$false) )
| spl0_207 ),
inference(superposition,[],[f43349,f4]) ).
thf(f59659,plain,
( ~ spl0_197
| spl0_207
| spl0_216 ),
inference(avatar_split_clause,[],[f59658,f51707,f43348,f33151]) ).
thf(f59658,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))) )
| spl0_207
| spl0_216 ),
inference(subsumption_resolution,[],[f54154,f51708]) ).
thf(f54154,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))) )
| ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))) )
| spl0_207 ),
inference(superposition,[],[f43349,f4]) ).
thf(f59657,plain,
( ~ spl0_179
| spl0_207
| spl0_215 ),
inference(avatar_split_clause,[],[f59656,f51702,f43348,f30575]) ).
thf(f59656,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,$true)) )
| spl0_207
| spl0_215 ),
inference(subsumption_resolution,[],[f54157,f51703]) ).
thf(f54157,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,$true)) )
| ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))) )
| spl0_207 ),
inference(superposition,[],[f43349,f4]) ).
thf(f59652,plain,
( ~ spl0_177
| ~ spl0_7
| spl0_17
| ~ spl0_89
| ~ spl0_103
| spl0_207 ),
inference(avatar_split_clause,[],[f54215,f43348,f2413,f1410,f123,f78,f27612]) ).
thf(f54215,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))) )
| ~ spl0_7
| spl0_17
| ~ spl0_89
| ~ spl0_103
| spl0_207 ),
inference(subsumption_resolution,[],[f54196,f53477]) ).
thf(f53477,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,$false)) )
| ~ spl0_7
| spl0_17
| ~ spl0_89 ),
inference(forward_demodulation,[],[f53476,f1412]) ).
thf(f53476,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$false))) )
| ~ spl0_7
| spl0_17
| ~ spl0_89 ),
inference(forward_demodulation,[],[f53475,f1412]) ).
thf(f53475,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false)))) )
| ~ spl0_7
| spl0_17
| ~ spl0_89 ),
inference(forward_demodulation,[],[f53474,f1412]) ).
thf(f53474,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$false))))) )
| ~ spl0_7
| spl0_17 ),
inference(forward_demodulation,[],[f124,f80]) ).
thf(f54196,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))) )
| ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,$false)) )
| ~ spl0_103
| spl0_207 ),
inference(superposition,[],[f54165,f4]) ).
thf(f54165,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))) )
| ~ spl0_103
| spl0_207 ),
inference(trivial_inequality_removal,[],[f54162]) ).
thf(f54162,plain,
( ( $false != $false )
| ( $false != vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))) )
| ~ spl0_103
| spl0_207 ),
inference(constrained_superposition,[],[f43349,f2415]) ).
thf(f59649,plain,
( spl0_185
| ~ spl0_210
| spl0_216 ),
inference(avatar_split_clause,[],[f59648,f51707,f43365,f33037]) ).
thf(f33037,plain,
( spl0_185
<=> ( $true = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_185])]) ).
thf(f59648,plain,
( ( $true = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))) )
| ~ spl0_210
| spl0_216 ),
inference(subsumption_resolution,[],[f54380,f51708]) ).
thf(f54380,plain,
( ( $true = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))) )
| ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))) )
| ~ spl0_210 ),
inference(superposition,[],[f43367,f4]) ).
thf(f59642,plain,
( spl0_22
| ~ spl0_14
| ~ spl0_180
| spl0_222 ),
inference(avatar_split_clause,[],[f55658,f51737,f31775,f109,f145]) ).
thf(f55658,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))))) )
| ~ spl0_14
| ~ spl0_180
| spl0_222 ),
inference(forward_demodulation,[],[f55657,f31777]) ).
thf(f55657,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$true)))))) )
| ~ spl0_14
| ~ spl0_180
| spl0_222 ),
inference(forward_demodulation,[],[f55656,f31777]) ).
thf(f55656,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$true))))))) )
| ~ spl0_14
| spl0_222 ),
inference(subsumption_resolution,[],[f55578,f51738]) ).
thf(f55578,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$true))))))) )
| ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,$true)) )
| ~ spl0_14 ),
inference(superposition,[],[f111,f4]) ).
thf(f59640,plain,
( ~ spl0_234
| spl0_22
| ~ spl0_14
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f55669,f31775,f109,f145,f59605]) ).
thf(f55669,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))))) )
| ( $true != vAPP($o,$o,f3,vAPP($o,$o,f4,$true)) )
| ~ spl0_14
| ~ spl0_180 ),
inference(forward_demodulation,[],[f55581,f31777]) ).
thf(f55581,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$true)))))) )
| ( $true != vAPP($o,$o,f3,vAPP($o,$o,f4,$true)) )
| ~ spl0_14
| ~ spl0_180 ),
inference(constrained_superposition,[],[f111,f31777]) ).
thf(f59634,plain,
( spl0_232
| spl0_22
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f55586,f109,f145,f59593]) ).
thf(f55586,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))))) )
| ( $false = vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$true)))) )
| ~ spl0_14 ),
inference(superposition,[],[f111,f4]) ).
thf(f59601,plain,
( ~ spl0_233
| ~ spl0_158
| spl0_132
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f56997,f31775,f3269,f6236,f59598]) ).
thf(f56997,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))))) )
| ( $true != vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))) )
| spl0_132
| ~ spl0_180 ),
inference(constrained_superposition,[],[f3270,f31777]) ).
thf(f59572,plain,
( ~ spl0_102
| ~ spl0_103
| spl0_207
| spl0_215 ),
inference(avatar_split_clause,[],[f59571,f51702,f43348,f2413,f2235]) ).
thf(f59571,plain,
( ( $false != vAPP($o,$o,f2,$true) )
| ~ spl0_103
| spl0_207
| spl0_215 ),
inference(subsumption_resolution,[],[f54202,f51703]) ).
thf(f54202,plain,
( ( $false != vAPP($o,$o,f2,$true) )
| ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))) )
| ~ spl0_103
| spl0_207 ),
inference(superposition,[],[f54165,f4]) ).
thf(f59412,plain,
( ~ spl0_30
| ~ spl0_41
| spl0_56
| ~ spl0_150
| ~ spl0_184
| spl0_222 ),
inference(avatar_contradiction_clause,[],[f59411]) ).
thf(f59411,plain,
( $false
| ~ spl0_30
| ~ spl0_41
| spl0_56
| ~ spl0_150
| ~ spl0_184
| spl0_222 ),
inference(subsumption_resolution,[],[f59410,f485]) ).
thf(f59410,plain,
( ( $false = vAPP($o,$o,f0,$true) )
| ~ spl0_30
| ~ spl0_41
| ~ spl0_150
| ~ spl0_184
| spl0_222 ),
inference(forward_demodulation,[],[f59409,f183]) ).
thf(f59409,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ~ spl0_30
| ~ spl0_41
| ~ spl0_150
| ~ spl0_184
| spl0_222 ),
inference(forward_demodulation,[],[f59408,f183]) ).
thf(f59408,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ~ spl0_41
| ~ spl0_150
| ~ spl0_184
| spl0_222 ),
inference(forward_demodulation,[],[f59407,f5115]) ).
thf(f59407,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ~ spl0_41
| ~ spl0_184
| spl0_222 ),
inference(forward_demodulation,[],[f59406,f31813]) ).
thf(f59406,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))))) )
| ~ spl0_41
| ~ spl0_184
| spl0_222 ),
inference(forward_demodulation,[],[f59405,f31813]) ).
thf(f59405,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true)))))) )
| ~ spl0_41
| ~ spl0_184
| spl0_222 ),
inference(forward_demodulation,[],[f59404,f31813]) ).
thf(f59404,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))))))) )
| ~ spl0_41
| spl0_222 ),
inference(subsumption_resolution,[],[f59333,f51738]) ).
thf(f59333,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))))))) )
| ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,$true)) )
| ~ spl0_41 ),
inference(superposition,[],[f390,f4]) ).
thf(f59327,plain,
( ~ spl0_215
| ~ spl0_103
| ~ spl0_173
| spl0_207 ),
inference(avatar_split_clause,[],[f59322,f43348,f19783,f2413,f51702]) ).
thf(f59322,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))) )
| ~ spl0_103
| ~ spl0_173
| spl0_207 ),
inference(trivial_inequality_removal,[],[f59316]) ).
thf(f59316,plain,
( ( $false != $false )
| ( $false != vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))) )
| ~ spl0_103
| ~ spl0_173
| spl0_207 ),
inference(constrained_superposition,[],[f54165,f19785]) ).
thf(f59326,plain,
( ~ spl0_216
| ~ spl0_103
| ~ spl0_173
| spl0_207 ),
inference(avatar_split_clause,[],[f59325,f43348,f19783,f2413,f51707]) ).
thf(f59325,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))) )
| ~ spl0_103
| ~ spl0_173
| spl0_207 ),
inference(subsumption_resolution,[],[f59315,f19785]) ).
thf(f59315,plain,
( ( $false != vAPP($o,$o,f2,$false) )
| ( $false != vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))) )
| ~ spl0_103
| ~ spl0_173
| spl0_207 ),
inference(constrained_superposition,[],[f54165,f19785]) ).
thf(f59135,plain,
( ~ spl0_41
| ~ spl0_70 ),
inference(avatar_contradiction_clause,[],[f59134]) ).
thf(f59134,plain,
( $false
| ~ spl0_41
| ~ spl0_70 ),
inference(trivial_inequality_removal,[],[f59133]) ).
thf(f59133,plain,
( ( $true = $false )
| ~ spl0_41
| ~ spl0_70 ),
inference(backward_demodulation,[],[f881,f390]) ).
thf(f58888,plain,
( ~ spl0_171
| ~ spl0_31
| spl0_38
| ~ spl0_105 ),
inference(avatar_split_clause,[],[f53382,f2566,f367,f327,f14053]) ).
thf(f53382,plain,
( ( $false != vAPP($o,$o,f4,vAPP($o,$o,f5,$true)) )
| ~ spl0_31
| spl0_38
| ~ spl0_105 ),
inference(backward_demodulation,[],[f52405,f2568]) ).
thf(f52405,plain,
( ( $false != vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,$false))) )
| ~ spl0_31
| spl0_38 ),
inference(backward_demodulation,[],[f368,f329]) ).
thf(f368,plain,
( ( $false != vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,$false))))) )
| spl0_38 ),
inference(avatar_component_clause,[],[f367]) ).
thf(f58863,plain,
( ~ spl0_227
| ~ spl0_14
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f55625,f1668,f109,f58796]) ).
thf(f55625,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$true)))))))) )
| ~ spl0_14
| ~ spl0_93 ),
inference(trivial_inequality_removal,[],[f55605]) ).
thf(f55605,plain,
( ( $true = $false )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$true)))))))) )
| ~ spl0_14
| ~ spl0_93 ),
inference(constrained_superposition,[],[f111,f1670]) ).
thf(f58824,plain,
( ~ spl0_227
| ~ spl0_93
| spl0_132 ),
inference(avatar_split_clause,[],[f57034,f3269,f1668,f58796]) ).
thf(f57034,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$true)))))))) )
| ~ spl0_93
| spl0_132 ),
inference(trivial_inequality_removal,[],[f57027]) ).
thf(f57027,plain,
( ( $false != $false )
| ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$true)))))))) )
| ~ spl0_93
| spl0_132 ),
inference(constrained_superposition,[],[f3270,f1670]) ).
thf(f58823,plain,
( spl0_39
| ~ spl0_32
| ~ spl0_89
| ~ spl0_168
| spl0_211 ),
inference(avatar_split_clause,[],[f58405,f47486,f9124,f1410,f331,f371]) ).
thf(f331,plain,
( spl0_32
<=> ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,$true))))))))))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
thf(f58405,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$true)))))))))) )
| ~ spl0_32
| ~ spl0_89
| ~ spl0_168
| spl0_211 ),
inference(subsumption_resolution,[],[f58281,f47487]) ).
thf(f58281,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$true)))))))))) )
| ( $false = vAPP($o,$o,f4,$false) )
| ~ spl0_32
| ~ spl0_89
| ~ spl0_168 ),
inference(superposition,[],[f51987,f4]) ).
thf(f51987,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$false))))))))))) )
| ~ spl0_32
| ~ spl0_89
| ~ spl0_168 ),
inference(forward_demodulation,[],[f51986,f1412]) ).
thf(f51986,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,$false)))))))))))) )
| ~ spl0_32
| ~ spl0_168 ),
inference(forward_demodulation,[],[f333,f9125]) ).
thf(f333,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,$true))))))))))))) )
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f331]) ).
thf(f55691,plain,
( ~ spl0_223
| spl0_224
| ~ spl0_14
| ~ spl0_157 ),
inference(avatar_split_clause,[],[f55584,f6226,f109,f55688,f55684]) ).
thf(f55584,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$false))))) )
| ( $false != vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))) )
| ~ spl0_14
| ~ spl0_157 ),
inference(constrained_superposition,[],[f111,f6228]) ).
thf(f54370,plain,
( ~ spl0_30
| spl0_209
| ~ spl0_210 ),
inference(avatar_contradiction_clause,[],[f54369]) ).
thf(f54369,plain,
( $false
| ~ spl0_30
| spl0_209
| ~ spl0_210 ),
inference(subsumption_resolution,[],[f54368,f183]) ).
thf(f54368,plain,
( ( $true != vAPP($o,$o,f0,$true) )
| ~ spl0_30
| spl0_209
| ~ spl0_210 ),
inference(forward_demodulation,[],[f54366,f183]) ).
thf(f54366,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| spl0_209
| ~ spl0_210 ),
inference(backward_demodulation,[],[f43362,f43367]) ).
thf(f43362,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))))))) )
| spl0_209 ),
inference(avatar_component_clause,[],[f43361]) ).
thf(f43361,plain,
( spl0_209
<=> ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_209])]) ).
thf(f54364,plain,
( spl0_207
| spl0_210 ),
inference(avatar_contradiction_clause,[],[f54363]) ).
thf(f54363,plain,
( $false
| spl0_207
| spl0_210 ),
inference(subsumption_resolution,[],[f54309,f43349]) ).
thf(f54309,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))))) )
| spl0_210 ),
inference(trivial_inequality_removal,[],[f54308]) ).
thf(f54308,plain,
( ( $true != $true )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))))) )
| spl0_210 ),
inference(superposition,[],[f43366,f4]) ).
thf(f54354,plain,
( spl0_215
| ~ spl0_150
| ~ spl0_184
| spl0_210 ),
inference(avatar_split_clause,[],[f54353,f43365,f31811,f5113,f51702]) ).
thf(f54353,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))) )
| ~ spl0_150
| ~ spl0_184
| spl0_210 ),
inference(subsumption_resolution,[],[f54352,f5115]) ).
thf(f54352,plain,
( ( $true != vAPP($o,$o,f1,$true) )
| ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))) )
| ~ spl0_184
| spl0_210 ),
inference(forward_demodulation,[],[f54301,f31813]) ).
thf(f54301,plain,
( ( $true != vAPP($o,$o,f1,vAPP($o,$o,f2,$true)) )
| ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))) )
| spl0_210 ),
inference(superposition,[],[f43366,f4]) ).
thf(f54346,plain,
( spl0_216
| ~ spl0_150
| ~ spl0_184
| spl0_210 ),
inference(avatar_split_clause,[],[f54345,f43365,f31811,f5113,f51707]) ).
thf(f54345,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))) )
| ~ spl0_150
| ~ spl0_184
| spl0_210 ),
inference(subsumption_resolution,[],[f54344,f5115]) ).
thf(f54344,plain,
( ( $true != vAPP($o,$o,f1,$true) )
| ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))) )
| ~ spl0_184
| spl0_210 ),
inference(forward_demodulation,[],[f54343,f31813]) ).
thf(f54343,plain,
( ( $true != vAPP($o,$o,f1,vAPP($o,$o,f2,$true)) )
| ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))) )
| ~ spl0_184
| spl0_210 ),
inference(forward_demodulation,[],[f54298,f31813]) ).
thf(f54298,plain,
( ( $true != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))) )
| ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))) )
| spl0_210 ),
inference(superposition,[],[f43366,f4]) ).
thf(f54339,plain,
( ~ spl0_7
| spl0_17
| ~ spl0_89
| ~ spl0_150
| ~ spl0_183
| ~ spl0_184
| spl0_210 ),
inference(avatar_contradiction_clause,[],[f54338]) ).
thf(f54338,plain,
( $false
| ~ spl0_7
| spl0_17
| ~ spl0_89
| ~ spl0_150
| ~ spl0_183
| ~ spl0_184
| spl0_210 ),
inference(subsumption_resolution,[],[f54337,f5115]) ).
thf(f54337,plain,
( ( $true != vAPP($o,$o,f1,$true) )
| ~ spl0_7
| spl0_17
| ~ spl0_89
| ~ spl0_183
| ~ spl0_184
| spl0_210 ),
inference(forward_demodulation,[],[f54336,f31813]) ).
thf(f54336,plain,
( ( $true != vAPP($o,$o,f1,vAPP($o,$o,f2,$true)) )
| ~ spl0_7
| spl0_17
| ~ spl0_89
| ~ spl0_183
| ~ spl0_184
| spl0_210 ),
inference(forward_demodulation,[],[f54335,f31813]) ).
thf(f54335,plain,
( ( $true != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))) )
| ~ spl0_7
| spl0_17
| ~ spl0_89
| ~ spl0_183
| spl0_210 ),
inference(subsumption_resolution,[],[f54296,f53477]) ).
thf(f54296,plain,
( ( $true != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))) )
| ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,$false)) )
| ~ spl0_183
| spl0_210 ),
inference(superposition,[],[f43366,f31804]) ).
thf(f54334,plain,
( ~ spl0_7
| spl0_17
| ~ spl0_89
| ~ spl0_150
| ~ spl0_184
| spl0_210 ),
inference(avatar_contradiction_clause,[],[f54333]) ).
thf(f54333,plain,
( $false
| ~ spl0_7
| spl0_17
| ~ spl0_89
| ~ spl0_150
| ~ spl0_184
| spl0_210 ),
inference(subsumption_resolution,[],[f54332,f5115]) ).
thf(f54332,plain,
( ( $true != vAPP($o,$o,f1,$true) )
| ~ spl0_7
| spl0_17
| ~ spl0_89
| ~ spl0_184
| spl0_210 ),
inference(forward_demodulation,[],[f54331,f31813]) ).
thf(f54331,plain,
( ( $true != vAPP($o,$o,f1,vAPP($o,$o,f2,$true)) )
| ~ spl0_7
| spl0_17
| ~ spl0_89
| ~ spl0_184
| spl0_210 ),
inference(forward_demodulation,[],[f54330,f31813]) ).
thf(f54330,plain,
( ( $true != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))) )
| ~ spl0_7
| spl0_17
| ~ spl0_89
| ~ spl0_184
| spl0_210 ),
inference(forward_demodulation,[],[f54329,f31813]) ).
thf(f54329,plain,
( ( $true != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true)))) )
| ~ spl0_7
| spl0_17
| ~ spl0_89
| spl0_210 ),
inference(subsumption_resolution,[],[f54295,f53477]) ).
thf(f54295,plain,
( ( $true != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true)))) )
| ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,$false)) )
| spl0_210 ),
inference(superposition,[],[f43366,f4]) ).
thf(f53464,plain,
( ~ spl0_7
| ~ spl0_17
| ~ spl0_89
| spl0_143
| spl0_211 ),
inference(avatar_contradiction_clause,[],[f53463]) ).
thf(f53463,plain,
( $false
| ~ spl0_7
| ~ spl0_17
| ~ spl0_89
| spl0_143
| spl0_211 ),
inference(subsumption_resolution,[],[f53456,f47487]) ).
thf(f53456,plain,
( ( $false = vAPP($o,$o,f4,$false) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_89
| spl0_143 ),
inference(trivial_inequality_removal,[],[f53447]) ).
thf(f53447,plain,
( ( $false != $false )
| ( $false = vAPP($o,$o,f4,$false) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_89
| spl0_143 ),
inference(superposition,[],[f53005,f51627]) ).
thf(f51627,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,$false)) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_89 ),
inference(forward_demodulation,[],[f51626,f1412]) ).
thf(f51626,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$false))) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_89 ),
inference(forward_demodulation,[],[f51625,f1412]) ).
thf(f51625,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false)))) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_89 ),
inference(forward_demodulation,[],[f51624,f1412]) ).
thf(f51624,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$false))))) )
| ~ spl0_7
| ~ spl0_17 ),
inference(forward_demodulation,[],[f125,f80]) ).
thf(f53005,plain,
( ! [X0: $o] :
( ( $false != vAPP($o,$o,f3,X0) )
| ( $false = X0 ) )
| spl0_143 ),
inference(superposition,[],[f4460,f4]) ).
thf(f53223,plain,
( spl0_41
| ~ spl0_3
| ~ spl0_7
| ~ spl0_31
| spl0_69
| ~ spl0_89
| ~ spl0_113 ),
inference(avatar_split_clause,[],[f53222,f2849,f1410,f875,f327,f78,f19,f388]) ).
thf(f53222,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))))))))) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_31
| spl0_69
| ~ spl0_89
| ~ spl0_113 ),
inference(subsumption_resolution,[],[f53178,f49257]) ).
thf(f49257,plain,
( ( $false != vAPP($o,$o,f4,vAPP($o,$o,f4,$false)) )
| ~ spl0_7
| ~ spl0_31
| spl0_69
| ~ spl0_89 ),
inference(forward_demodulation,[],[f49245,f1412]) ).
thf(f53178,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))))))))) )
| ( $false = vAPP($o,$o,f4,vAPP($o,$o,f4,$false)) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_89
| ~ spl0_113 ),
inference(superposition,[],[f53132,f4]) ).
thf(f53132,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$false))))))))))) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_89
| ~ spl0_113 ),
inference(forward_demodulation,[],[f53131,f1412]) ).
thf(f53131,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,$false)))))))))))) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_113 ),
inference(forward_demodulation,[],[f53130,f2851]) ).
thf(f53130,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,$false))))))))))))) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_113 ),
inference(forward_demodulation,[],[f52084,f2851]) ).
thf(f52084,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$false)))))))))))))) )
| ~ spl0_3
| ~ spl0_7 ),
inference(forward_demodulation,[],[f21,f80]) ).
thf(f53176,plain,
( spl0_183
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f53175,f31811,f31803]) ).
thf(f53175,plain,
( ! [X0: $o] :
( ( $true = vAPP($o,$o,f2,X0) )
| ( $false = X0 ) )
| ~ spl0_184 ),
inference(duplicate_literal_removal,[],[f53173]) ).
thf(f53173,plain,
( ! [X0: $o] :
( ( $true = vAPP($o,$o,f2,X0) )
| ( $false = X0 )
| ( $false = X0 ) )
| ~ spl0_184 ),
inference(binary_proxy_clausification,[],[f53169]) ).
thf(f53169,plain,
( ! [X0: $o] :
( ( vAPP($o,$o,f2,X0) = X0 )
| ( $false = X0 ) )
| ~ spl0_184 ),
inference(superposition,[],[f31813,f4]) ).
thf(f53051,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_30
| spl0_56
| ~ spl0_73
| ~ spl0_150
| spl0_173
| ~ spl0_184 ),
inference(avatar_contradiction_clause,[],[f53050]) ).
thf(f53050,plain,
( $false
| ~ spl0_3
| ~ spl0_7
| ~ spl0_30
| spl0_56
| ~ spl0_73
| ~ spl0_150
| spl0_173
| ~ spl0_184 ),
inference(subsumption_resolution,[],[f53049,f485]) ).
thf(f53049,plain,
( ( $false = vAPP($o,$o,f0,$true) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_30
| ~ spl0_73
| ~ spl0_150
| spl0_173
| ~ spl0_184 ),
inference(forward_demodulation,[],[f53048,f183]) ).
thf(f53048,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_30
| ~ spl0_73
| ~ spl0_150
| spl0_173
| ~ spl0_184 ),
inference(forward_demodulation,[],[f53047,f183]) ).
thf(f53047,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_73
| ~ spl0_150
| spl0_173
| ~ spl0_184 ),
inference(forward_demodulation,[],[f53046,f5115]) ).
thf(f53046,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_73
| spl0_173
| ~ spl0_184 ),
inference(forward_demodulation,[],[f53045,f31813]) ).
thf(f53045,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))))) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_73
| spl0_173
| ~ spl0_184 ),
inference(forward_demodulation,[],[f53044,f31813]) ).
thf(f53044,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true)))))) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_73
| spl0_173 ),
inference(subsumption_resolution,[],[f53009,f19784]) ).
thf(f53009,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true)))))) )
| ( $false = vAPP($o,$o,f2,$false) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_73 ),
inference(superposition,[],[f52351,f4]) ).
thf(f52351,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$false))))))) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_73 ),
inference(backward_demodulation,[],[f52084,f51947]) ).
thf(f51947,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$false))))))) )
| ~ spl0_7
| ~ spl0_73 ),
inference(forward_demodulation,[],[f914,f80]) ).
thf(f52836,plain,
( ~ spl0_102
| spl0_173
| spl0_182 ),
inference(avatar_contradiction_clause,[],[f52835]) ).
thf(f52835,plain,
( $false
| ~ spl0_102
| spl0_173
| spl0_182 ),
inference(subsumption_resolution,[],[f52833,f19784]) ).
thf(f52833,plain,
( ( $false = vAPP($o,$o,f2,$false) )
| ~ spl0_102
| spl0_182 ),
inference(trivial_inequality_removal,[],[f52832]) ).
thf(f52832,plain,
( ( $true != $true )
| ( $false = vAPP($o,$o,f2,$false) )
| ~ spl0_102
| spl0_182 ),
inference(superposition,[],[f52591,f4]) ).
thf(f52591,plain,
( ( $true != vAPP($o,$o,f2,$false) )
| ~ spl0_102
| spl0_182 ),
inference(forward_demodulation,[],[f31784,f2237]) ).
thf(f31784,plain,
( ( $true != vAPP($o,$o,f2,vAPP($o,$o,f2,$true)) )
| spl0_182 ),
inference(avatar_component_clause,[],[f31783]) ).
thf(f52710,plain,
( ~ spl0_3
| ~ spl0_7
| spl0_43
| ~ spl0_73
| ~ spl0_143 ),
inference(avatar_contradiction_clause,[],[f52709]) ).
thf(f52709,plain,
( $false
| ~ spl0_3
| ~ spl0_7
| spl0_43
| ~ spl0_73
| ~ spl0_143 ),
inference(subsumption_resolution,[],[f52351,f51474]) ).
thf(f51474,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$false))))))) )
| spl0_43
| ~ spl0_143 ),
inference(backward_demodulation,[],[f405,f4461]) ).
thf(f52699,plain,
( ~ spl0_139
| ~ spl0_102
| spl0_177 ),
inference(avatar_split_clause,[],[f52698,f27612,f2235,f4316]) ).
thf(f52698,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f2,$false)) )
| ~ spl0_102
| spl0_177 ),
inference(forward_demodulation,[],[f27613,f2237]) ).
thf(f52686,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_17
| spl0_56
| ~ spl0_73
| ~ spl0_89
| ~ spl0_209 ),
inference(avatar_contradiction_clause,[],[f52685]) ).
thf(f52685,plain,
( $false
| ~ spl0_3
| ~ spl0_7
| ~ spl0_17
| spl0_56
| ~ spl0_73
| ~ spl0_89
| ~ spl0_209 ),
inference(subsumption_resolution,[],[f52684,f485]) ).
thf(f52684,plain,
( ( $false = vAPP($o,$o,f0,$true) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_17
| ~ spl0_73
| ~ spl0_89
| ~ spl0_209 ),
inference(forward_demodulation,[],[f52351,f52435]) ).
thf(f52435,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$false)))))) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_89
| ~ spl0_209 ),
inference(forward_demodulation,[],[f43363,f51627]) ).
thf(f43363,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))))))) )
| ~ spl0_209 ),
inference(avatar_component_clause,[],[f43361]) ).
thf(f52636,plain,
( ~ spl0_30
| ~ spl0_36
| spl0_56
| ~ spl0_139
| ~ spl0_204
| ~ spl0_219 ),
inference(avatar_contradiction_clause,[],[f52635]) ).
thf(f52635,plain,
( $false
| ~ spl0_30
| ~ spl0_36
| spl0_56
| ~ spl0_139
| ~ spl0_204
| ~ spl0_219 ),
inference(subsumption_resolution,[],[f52634,f485]) ).
thf(f52634,plain,
( ( $false = vAPP($o,$o,f0,$true) )
| ~ spl0_30
| ~ spl0_36
| ~ spl0_139
| ~ spl0_204
| ~ spl0_219 ),
inference(forward_demodulation,[],[f52633,f183]) ).
thf(f52633,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ~ spl0_30
| ~ spl0_36
| ~ spl0_139
| ~ spl0_204
| ~ spl0_219 ),
inference(forward_demodulation,[],[f52632,f183]) ).
thf(f52632,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ~ spl0_36
| ~ spl0_139
| ~ spl0_204
| ~ spl0_219 ),
inference(forward_demodulation,[],[f52631,f36853]) ).
thf(f36853,plain,
( ( $true = vAPP($o,$o,f1,vAPP($o,$o,f2,$false)) )
| ~ spl0_204 ),
inference(avatar_component_clause,[],[f36851]) ).
thf(f52631,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$false))))) )
| ~ spl0_36
| ~ spl0_139
| ~ spl0_219 ),
inference(forward_demodulation,[],[f52381,f4317]) ).
thf(f52381,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$false))))))) )
| ~ spl0_36
| ~ spl0_219 ),
inference(forward_demodulation,[],[f351,f51724]) ).
thf(f52619,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_30
| spl0_56
| ~ spl0_73
| ~ spl0_139
| ~ spl0_204 ),
inference(avatar_contradiction_clause,[],[f52618]) ).
thf(f52618,plain,
( $false
| ~ spl0_3
| ~ spl0_7
| ~ spl0_30
| spl0_56
| ~ spl0_73
| ~ spl0_139
| ~ spl0_204 ),
inference(subsumption_resolution,[],[f52617,f485]) ).
thf(f52617,plain,
( ( $false = vAPP($o,$o,f0,$true) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_30
| ~ spl0_73
| ~ spl0_139
| ~ spl0_204 ),
inference(forward_demodulation,[],[f52616,f183]) ).
thf(f52616,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_30
| ~ spl0_73
| ~ spl0_139
| ~ spl0_204 ),
inference(forward_demodulation,[],[f52615,f183]) ).
thf(f52615,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_73
| ~ spl0_139
| ~ spl0_204 ),
inference(forward_demodulation,[],[f52614,f36853]) ).
thf(f52614,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$false))))) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_73
| ~ spl0_139 ),
inference(forward_demodulation,[],[f52351,f4317]) ).
thf(f52389,plain,
( ~ spl0_30
| ~ spl0_36
| spl0_56
| ~ spl0_102
| ~ spl0_150
| ~ spl0_182
| ~ spl0_219 ),
inference(avatar_contradiction_clause,[],[f52388]) ).
thf(f52388,plain,
( $false
| ~ spl0_30
| ~ spl0_36
| spl0_56
| ~ spl0_102
| ~ spl0_150
| ~ spl0_182
| ~ spl0_219 ),
inference(subsumption_resolution,[],[f52387,f485]) ).
thf(f52387,plain,
( ( $false = vAPP($o,$o,f0,$true) )
| ~ spl0_30
| ~ spl0_36
| ~ spl0_102
| ~ spl0_150
| ~ spl0_182
| ~ spl0_219 ),
inference(forward_demodulation,[],[f52386,f183]) ).
thf(f52386,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ~ spl0_30
| ~ spl0_36
| ~ spl0_102
| ~ spl0_150
| ~ spl0_182
| ~ spl0_219 ),
inference(forward_demodulation,[],[f52385,f183]) ).
thf(f52385,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ~ spl0_36
| ~ spl0_102
| ~ spl0_150
| ~ spl0_182
| ~ spl0_219 ),
inference(forward_demodulation,[],[f52384,f5115]) ).
thf(f52384,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ~ spl0_36
| ~ spl0_102
| ~ spl0_182
| ~ spl0_219 ),
inference(forward_demodulation,[],[f52383,f51907]) ).
thf(f51907,plain,
( ( $true = vAPP($o,$o,f2,$false) )
| ~ spl0_102
| ~ spl0_182 ),
inference(backward_demodulation,[],[f31785,f2237]) ).
thf(f52383,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$false))))) )
| ~ spl0_36
| ~ spl0_102
| ~ spl0_182
| ~ spl0_219 ),
inference(forward_demodulation,[],[f52382,f2237]) ).
thf(f52382,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true)))))) )
| ~ spl0_36
| ~ spl0_102
| ~ spl0_182
| ~ spl0_219 ),
inference(forward_demodulation,[],[f52381,f51907]) ).
thf(f52359,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_30
| spl0_56
| ~ spl0_73
| ~ spl0_102
| ~ spl0_150
| ~ spl0_182 ),
inference(avatar_contradiction_clause,[],[f52358]) ).
thf(f52358,plain,
( $false
| ~ spl0_3
| ~ spl0_7
| ~ spl0_30
| spl0_56
| ~ spl0_73
| ~ spl0_102
| ~ spl0_150
| ~ spl0_182 ),
inference(subsumption_resolution,[],[f52357,f485]) ).
thf(f52357,plain,
( ( $false = vAPP($o,$o,f0,$true) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_30
| ~ spl0_73
| ~ spl0_102
| ~ spl0_150
| ~ spl0_182 ),
inference(forward_demodulation,[],[f52356,f183]) ).
thf(f52356,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_30
| ~ spl0_73
| ~ spl0_102
| ~ spl0_150
| ~ spl0_182 ),
inference(forward_demodulation,[],[f52355,f183]) ).
thf(f52355,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_73
| ~ spl0_102
| ~ spl0_150
| ~ spl0_182 ),
inference(forward_demodulation,[],[f52354,f5115]) ).
thf(f52354,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_73
| ~ spl0_102
| ~ spl0_182 ),
inference(forward_demodulation,[],[f52353,f51907]) ).
thf(f52353,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$false))))) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_73
| ~ spl0_102
| ~ spl0_182 ),
inference(forward_demodulation,[],[f52352,f2237]) ).
thf(f52352,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true)))))) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_73
| ~ spl0_102
| ~ spl0_182 ),
inference(forward_demodulation,[],[f52351,f51907]) ).
thf(f52156,plain,
( ~ spl0_7
| ~ spl0_17
| ~ spl0_89
| ~ spl0_102
| ~ spl0_150
| ~ spl0_182
| spl0_210 ),
inference(avatar_contradiction_clause,[],[f52155]) ).
thf(f52155,plain,
( $false
| ~ spl0_7
| ~ spl0_17
| ~ spl0_89
| ~ spl0_102
| ~ spl0_150
| ~ spl0_182
| spl0_210 ),
inference(subsumption_resolution,[],[f52154,f5115]) ).
thf(f52154,plain,
( ( $true != vAPP($o,$o,f1,$true) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_89
| ~ spl0_102
| ~ spl0_182
| spl0_210 ),
inference(forward_demodulation,[],[f52153,f51907]) ).
thf(f52153,plain,
( ( $true != vAPP($o,$o,f1,vAPP($o,$o,f2,$false)) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_89
| ~ spl0_102
| ~ spl0_182
| spl0_210 ),
inference(forward_demodulation,[],[f52152,f2237]) ).
thf(f52152,plain,
( ( $true != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_89
| ~ spl0_102
| ~ spl0_182
| spl0_210 ),
inference(forward_demodulation,[],[f52151,f51907]) ).
thf(f52151,plain,
( ( $true != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$false)))) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_89
| spl0_210 ),
inference(forward_demodulation,[],[f43366,f51627]) ).
thf(f52060,plain,
( ~ spl0_16
| ~ spl0_93
| ~ spl0_103
| ~ spl0_138
| ~ spl0_143
| ~ spl0_201 ),
inference(avatar_contradiction_clause,[],[f52059]) ).
thf(f52059,plain,
( $false
| ~ spl0_16
| ~ spl0_93
| ~ spl0_103
| ~ spl0_138
| ~ spl0_143
| ~ spl0_201 ),
inference(trivial_inequality_removal,[],[f52058]) ).
thf(f52058,plain,
( ( $true = $false )
| ~ spl0_16
| ~ spl0_93
| ~ spl0_103
| ~ spl0_138
| ~ spl0_143
| ~ spl0_201 ),
inference(forward_demodulation,[],[f52057,f1670]) ).
thf(f52057,plain,
( ( $true = vAPP($o,$o,f0,$false) )
| ~ spl0_16
| ~ spl0_103
| ~ spl0_138
| ~ spl0_143
| ~ spl0_201 ),
inference(forward_demodulation,[],[f52056,f2415]) ).
thf(f52056,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ~ spl0_16
| ~ spl0_138
| ~ spl0_143
| ~ spl0_201 ),
inference(forward_demodulation,[],[f52055,f51744]) ).
thf(f51744,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$false))) )
| ~ spl0_143
| ~ spl0_201 ),
inference(forward_demodulation,[],[f33311,f4461]) ).
thf(f33311,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$true)))) )
| ~ spl0_201 ),
inference(avatar_component_clause,[],[f33309]) ).
thf(f52055,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$false))))) )
| ~ spl0_16
| ~ spl0_138
| ~ spl0_143 ),
inference(forward_demodulation,[],[f52054,f4461]) ).
thf(f52054,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$true)))))) )
| ~ spl0_16
| ~ spl0_138
| ~ spl0_143 ),
inference(forward_demodulation,[],[f52053,f4314]) ).
thf(f52053,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$false))))))) )
| ~ spl0_16
| ~ spl0_143 ),
inference(forward_demodulation,[],[f120,f4461]) ).
thf(f52004,plain,
( ~ spl0_7
| ~ spl0_17
| spl0_29
| ~ spl0_89
| ~ spl0_103
| ~ spl0_138
| ~ spl0_143
| ~ spl0_201 ),
inference(avatar_contradiction_clause,[],[f52003]) ).
thf(f52003,plain,
( $false
| ~ spl0_7
| ~ spl0_17
| spl0_29
| ~ spl0_89
| ~ spl0_103
| ~ spl0_138
| ~ spl0_143
| ~ spl0_201 ),
inference(subsumption_resolution,[],[f52002,f2415]) ).
thf(f52002,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ~ spl0_7
| ~ spl0_17
| spl0_29
| ~ spl0_89
| ~ spl0_138
| ~ spl0_143
| ~ spl0_201 ),
inference(forward_demodulation,[],[f52001,f51744]) ).
thf(f52001,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$false)))) )
| ~ spl0_7
| ~ spl0_17
| spl0_29
| ~ spl0_89
| ~ spl0_138
| ~ spl0_143 ),
inference(forward_demodulation,[],[f52000,f4461]) ).
thf(f52000,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$true))))) )
| ~ spl0_7
| ~ spl0_17
| spl0_29
| ~ spl0_89
| ~ spl0_138 ),
inference(forward_demodulation,[],[f51999,f4314]) ).
thf(f51999,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$false)))))) )
| ~ spl0_7
| ~ spl0_17
| spl0_29
| ~ spl0_89 ),
inference(forward_demodulation,[],[f51998,f51627]) ).
thf(f51998,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))))))) )
| ~ spl0_7
| spl0_29
| ~ spl0_89 ),
inference(forward_demodulation,[],[f51997,f1412]) ).
thf(f51997,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$false))))))))) )
| ~ spl0_7
| spl0_29
| ~ spl0_89 ),
inference(forward_demodulation,[],[f51996,f1412]) ).
thf(f51996,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false)))))))))) )
| ~ spl0_7
| spl0_29
| ~ spl0_89 ),
inference(forward_demodulation,[],[f51995,f1412]) ).
thf(f51995,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$false))))))))))) )
| ~ spl0_7
| spl0_29 ),
inference(forward_demodulation,[],[f178,f80]) ).
thf(f51985,plain,
( spl0_219
| ~ spl0_44
| ~ spl0_105
| ~ spl0_120
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f51984,f9124,f3072,f2566,f415,f51722]) ).
thf(f415,plain,
( spl0_44
<=> ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,$false)))))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
thf(f51984,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$true)))) )
| ~ spl0_44
| ~ spl0_105
| ~ spl0_120
| ~ spl0_168 ),
inference(forward_demodulation,[],[f51983,f3074]) ).
thf(f51983,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,$true))))) )
| ~ spl0_44
| ~ spl0_105
| ~ spl0_168 ),
inference(forward_demodulation,[],[f51982,f2568]) ).
thf(f51982,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,$false)))))) )
| ~ spl0_44
| ~ spl0_105
| ~ spl0_168 ),
inference(forward_demodulation,[],[f51981,f9125]) ).
thf(f51981,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$true))))))) )
| ~ spl0_44
| ~ spl0_105 ),
inference(forward_demodulation,[],[f417,f2568]) ).
thf(f417,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,$false)))))))) )
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f415]) ).
thf(f51891,plain,
( spl0_102
| ~ spl0_137
| ~ spl0_138
| ~ spl0_143 ),
inference(avatar_split_clause,[],[f51890,f4459,f4312,f4036,f2235]) ).
thf(f51890,plain,
( ( $false = vAPP($o,$o,f2,$true) )
| ~ spl0_137
| ~ spl0_138
| ~ spl0_143 ),
inference(forward_demodulation,[],[f51889,f4314]) ).
thf(f51889,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,$false)) )
| ~ spl0_137
| ~ spl0_138
| ~ spl0_143 ),
inference(forward_demodulation,[],[f51888,f4461]) ).
thf(f51888,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$true))) )
| ~ spl0_137
| ~ spl0_138 ),
inference(forward_demodulation,[],[f4038,f4314]) ).
thf(f51838,plain,
( spl0_102
| ~ spl0_138
| ~ spl0_143
| ~ spl0_178 ),
inference(avatar_split_clause,[],[f51837,f27616,f4459,f4312,f2235]) ).
thf(f51837,plain,
( ( $false = vAPP($o,$o,f2,$true) )
| ~ spl0_138
| ~ spl0_143
| ~ spl0_178 ),
inference(forward_demodulation,[],[f51836,f4314]) ).
thf(f51836,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,$false)) )
| ~ spl0_143
| ~ spl0_178 ),
inference(forward_demodulation,[],[f27618,f4461]) ).
thf(f51823,plain,
( ~ spl0_103
| ~ spl0_143
| spl0_189
| ~ spl0_201 ),
inference(avatar_contradiction_clause,[],[f51822]) ).
thf(f51822,plain,
( $false
| ~ spl0_103
| ~ spl0_143
| spl0_189
| ~ spl0_201 ),
inference(subsumption_resolution,[],[f51821,f2415]) ).
thf(f51821,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ~ spl0_143
| spl0_189
| ~ spl0_201 ),
inference(forward_demodulation,[],[f51820,f51744]) ).
thf(f51820,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$false)))) )
| ~ spl0_143
| spl0_189 ),
inference(forward_demodulation,[],[f33058,f4461]) ).
thf(f51816,plain,
( ~ spl0_93
| spl0_208 ),
inference(avatar_contradiction_clause,[],[f51815]) ).
thf(f51815,plain,
( $false
| ~ spl0_93
| spl0_208 ),
inference(subsumption_resolution,[],[f51814,f1670]) ).
thf(f51814,plain,
( ( $false != vAPP($o,$o,f0,$false) )
| ~ spl0_93
| spl0_208 ),
inference(forward_demodulation,[],[f43353,f1670]) ).
thf(f51790,plain,
( spl0_174
| ~ spl0_139
| ~ spl0_143
| ~ spl0_214 ),
inference(avatar_split_clause,[],[f51789,f51432,f4459,f4316,f22938]) ).
thf(f51789,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,$false)) )
| ~ spl0_139
| ~ spl0_143
| ~ spl0_214 ),
inference(forward_demodulation,[],[f51788,f4317]) ).
thf(f51788,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$false)))) )
| ~ spl0_143
| ~ spl0_214 ),
inference(forward_demodulation,[],[f51434,f4461]) ).
thf(f51776,plain,
( spl0_174
| ~ spl0_7
| ~ spl0_17
| ~ spl0_89
| ~ spl0_139
| ~ spl0_207 ),
inference(avatar_split_clause,[],[f51775,f43348,f4316,f1410,f123,f78,f22938]) ).
thf(f51775,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,$false)) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_89
| ~ spl0_139
| ~ spl0_207 ),
inference(forward_demodulation,[],[f51774,f4317]) ).
thf(f51774,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$false)))) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_89
| ~ spl0_207 ),
inference(forward_demodulation,[],[f43350,f51627]) ).
thf(f51773,plain,
( spl0_197
| spl0_173
| ~ spl0_7
| ~ spl0_17
| ~ spl0_89
| ~ spl0_207 ),
inference(avatar_split_clause,[],[f51772,f43348,f1410,f123,f78,f19783,f33151]) ).
thf(f51772,plain,
( ( $false = vAPP($o,$o,f2,$false) )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_89
| ~ spl0_207 ),
inference(forward_demodulation,[],[f50898,f51627]) ).
thf(f50898,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))) )
| ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))) )
| ~ spl0_207 ),
inference(superposition,[],[f43350,f4]) ).
thf(f51742,plain,
( spl0_219
| ~ spl0_102
| ~ spl0_31
| spl0_46
| ~ spl0_105
| ~ spl0_120 ),
inference(avatar_split_clause,[],[f49804,f3072,f2566,f429,f327,f2235,f51722]) ).
thf(f49804,plain,
( ( $false != vAPP($o,$o,f2,$true) )
| ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$true)))) )
| ~ spl0_31
| spl0_46
| ~ spl0_105
| ~ spl0_120 ),
inference(superposition,[],[f49308,f4]) ).
thf(f49308,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$true))))) )
| ~ spl0_31
| spl0_46
| ~ spl0_105
| ~ spl0_120 ),
inference(forward_demodulation,[],[f49281,f3074]) ).
thf(f49281,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,$true)))))) )
| ~ spl0_31
| spl0_46
| ~ spl0_105 ),
inference(backward_demodulation,[],[f49241,f2568]) ).
thf(f49241,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,$false))))))) )
| ~ spl0_31
| spl0_46 ),
inference(backward_demodulation,[],[f430,f329]) ).
thf(f430,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,$false))))))))) )
| spl0_46 ),
inference(avatar_component_clause,[],[f429]) ).
thf(f51435,plain,
( spl0_211
| spl0_214
| ~ spl0_207 ),
inference(avatar_split_clause,[],[f50889,f43348,f51432,f47486]) ).
thf(f50889,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$true))))) )
| ( $false = vAPP($o,$o,f4,$false) )
| ~ spl0_207 ),
inference(superposition,[],[f43350,f4]) ).
thf(f51430,plain,
( spl0_213
| ~ spl0_143
| ~ spl0_7
| ~ spl0_31
| spl0_73
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f49658,f1410,f912,f327,f78,f4459,f51427]) ).
thf(f49658,plain,
( ( $false != vAPP($o,$o,f3,$true) )
| ( $false = vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$false))) )
| ~ spl0_7
| ~ spl0_31
| spl0_73
| ~ spl0_89 ),
inference(superposition,[],[f46699,f4]) ).
thf(f46699,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$false)))) )
| ~ spl0_7
| ~ spl0_31
| spl0_73
| ~ spl0_89 ),
inference(forward_demodulation,[],[f46673,f1412]) ).
thf(f46673,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,$false))))) )
| ~ spl0_7
| ~ spl0_31
| spl0_73 ),
inference(backward_demodulation,[],[f46257,f329]) ).
thf(f46257,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$false))))))) )
| ~ spl0_7
| spl0_73 ),
inference(forward_demodulation,[],[f913,f80]) ).
thf(f51425,plain,
( ~ spl0_143
| ~ spl0_7
| ~ spl0_31
| spl0_69
| spl0_73
| ~ spl0_89
| spl0_172 ),
inference(avatar_split_clause,[],[f51424,f14057,f1410,f912,f875,f327,f78,f4459]) ).
thf(f51424,plain,
( ( $false != vAPP($o,$o,f3,$true) )
| ~ spl0_7
| ~ spl0_31
| spl0_69
| spl0_73
| ~ spl0_89
| spl0_172 ),
inference(subsumption_resolution,[],[f49792,f14058]) ).
thf(f49792,plain,
( ( $false != vAPP($o,$o,f3,$true) )
| ( $false = vAPP($o,$o,f4,$true) )
| ~ spl0_7
| ~ spl0_31
| spl0_69
| spl0_73
| ~ spl0_89 ),
inference(superposition,[],[f49663,f4]) ).
thf(f49663,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,$true)) )
| ~ spl0_7
| ~ spl0_31
| spl0_69
| spl0_73
| ~ spl0_89 ),
inference(subsumption_resolution,[],[f49657,f49257]) ).
thf(f49657,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,$true)) )
| ( $false = vAPP($o,$o,f4,vAPP($o,$o,f4,$false)) )
| ~ spl0_7
| ~ spl0_31
| spl0_73
| ~ spl0_89 ),
inference(superposition,[],[f46699,f4]) ).
thf(f51417,plain,
( spl0_104
| spl0_157
| ~ spl0_184
| ~ spl0_207
| ~ spl0_211 ),
inference(avatar_contradiction_clause,[],[f51416]) ).
thf(f51416,plain,
( $false
| spl0_104
| spl0_157
| ~ spl0_184
| ~ spl0_207
| ~ spl0_211 ),
inference(subsumption_resolution,[],[f51395,f6227]) ).
thf(f51395,plain,
( ( $false = vAPP($o,$o,f3,$false) )
| spl0_104
| ~ spl0_184
| ~ spl0_207
| ~ spl0_211 ),
inference(backward_demodulation,[],[f50978,f47488]) ).
thf(f50978,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,$false)) )
| spl0_104
| ~ spl0_184
| ~ spl0_207 ),
inference(subsumption_resolution,[],[f50977,f2418]) ).
thf(f50977,plain,
( ( $false = vAPP($o,$o,f1,$true) )
| ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,$false)) )
| ~ spl0_184
| ~ spl0_207 ),
inference(forward_demodulation,[],[f50976,f31813]) ).
thf(f50976,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,$true)) )
| ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,$false)) )
| ~ spl0_184
| ~ spl0_207 ),
inference(forward_demodulation,[],[f50975,f31813]) ).
thf(f50975,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))) )
| ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,$false)) )
| ~ spl0_184
| ~ spl0_207 ),
inference(forward_demodulation,[],[f50893,f31813]) ).
thf(f50893,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true)))) )
| ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,$false)) )
| ~ spl0_207 ),
inference(superposition,[],[f43350,f4]) ).
thf(f51399,plain,
( ~ spl0_7
| ~ spl0_31
| spl0_69
| ~ spl0_89
| ~ spl0_211 ),
inference(avatar_contradiction_clause,[],[f51398]) ).
thf(f51398,plain,
( $false
| ~ spl0_7
| ~ spl0_31
| spl0_69
| ~ spl0_89
| ~ spl0_211 ),
inference(subsumption_resolution,[],[f51390,f47488]) ).
thf(f51390,plain,
( ( $false != vAPP($o,$o,f4,$false) )
| ~ spl0_7
| ~ spl0_31
| spl0_69
| ~ spl0_89
| ~ spl0_211 ),
inference(backward_demodulation,[],[f49257,f47488]) ).
thf(f51388,plain,
( ~ spl0_211
| ~ spl0_89
| spl0_134 ),
inference(avatar_split_clause,[],[f48030,f3279,f1410,f47486]) ).
thf(f48030,plain,
( ( $false != vAPP($o,$o,f4,$false) )
| ~ spl0_89
| spl0_134 ),
inference(forward_demodulation,[],[f48029,f1412]) ).
thf(f48029,plain,
( ( $false != vAPP($o,$o,f4,vAPP($o,$o,f5,$false)) )
| ~ spl0_89
| spl0_134 ),
inference(forward_demodulation,[],[f3280,f1412]) ).
thf(f51387,plain,
( ~ spl0_211
| ~ spl0_7
| spl0_15
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f48158,f1410,f114,f78,f47486]) ).
thf(f48158,plain,
( ( $false != vAPP($o,$o,f4,$false) )
| ~ spl0_7
| spl0_15
| ~ spl0_89 ),
inference(forward_demodulation,[],[f48157,f1412]) ).
thf(f48157,plain,
( ( $false != vAPP($o,$o,f4,vAPP($o,$o,f5,$false)) )
| ~ spl0_7
| spl0_15
| ~ spl0_89 ),
inference(forward_demodulation,[],[f48156,f1412]) ).
thf(f48156,plain,
( ( $false != vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false))) )
| ~ spl0_7
| spl0_15
| ~ spl0_89 ),
inference(forward_demodulation,[],[f48155,f1412]) ).
thf(f48155,plain,
( ( $false != vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$false)))) )
| ~ spl0_7
| spl0_15 ),
inference(forward_demodulation,[],[f115,f80]) ).
thf(f51386,plain,
( ~ spl0_211
| ~ spl0_7
| ~ spl0_31
| spl0_67
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f48341,f1410,f855,f327,f78,f47486]) ).
thf(f48341,plain,
( ( $false != vAPP($o,$o,f4,$false) )
| ~ spl0_7
| ~ spl0_31
| spl0_67
| ~ spl0_89 ),
inference(forward_demodulation,[],[f48327,f1412]) ).
thf(f48327,plain,
( ( $false != vAPP($o,$o,f4,vAPP($o,$o,f5,$false)) )
| ~ spl0_7
| ~ spl0_31
| spl0_67 ),
inference(backward_demodulation,[],[f48107,f329]) ).
thf(f48107,plain,
( ( $false != vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$false)))) )
| ~ spl0_7
| spl0_67 ),
inference(forward_demodulation,[],[f856,f80]) ).
thf(f856,plain,
( ( vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x))))) != $false )
| spl0_67 ),
inference(avatar_component_clause,[],[f855]) ).
thf(f51237,plain,
( spl0_211
| spl0_104
| ~ spl0_180
| ~ spl0_184
| ~ spl0_207 ),
inference(avatar_split_clause,[],[f51236,f43348,f31811,f31775,f2417,f47486]) ).
thf(f51236,plain,
( ( $false = vAPP($o,$o,f4,$false) )
| spl0_104
| ~ spl0_180
| ~ spl0_184
| ~ spl0_207 ),
inference(subsumption_resolution,[],[f51235,f2418]) ).
thf(f51235,plain,
( ( $false = vAPP($o,$o,f1,$true) )
| ( $false = vAPP($o,$o,f4,$false) )
| ~ spl0_180
| ~ spl0_184
| ~ spl0_207 ),
inference(forward_demodulation,[],[f51234,f31813]) ).
thf(f51234,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,$true)) )
| ( $false = vAPP($o,$o,f4,$false) )
| ~ spl0_180
| ~ spl0_184
| ~ spl0_207 ),
inference(forward_demodulation,[],[f51233,f31813]) ).
thf(f51233,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))) )
| ( $false = vAPP($o,$o,f4,$false) )
| ~ spl0_180
| ~ spl0_184
| ~ spl0_207 ),
inference(forward_demodulation,[],[f51232,f31813]) ).
thf(f51232,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true)))) )
| ( $false = vAPP($o,$o,f4,$false) )
| ~ spl0_180
| ~ spl0_207 ),
inference(forward_demodulation,[],[f50889,f31777]) ).
thf(f49551,plain,
( ~ spl0_132
| ~ spl0_120
| spl0_130 ),
inference(avatar_split_clause,[],[f48830,f3151,f3072,f3269]) ).
thf(f48830,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))))))))) )
| ~ spl0_120
| spl0_130 ),
inference(forward_demodulation,[],[f48829,f3074]) ).
thf(f48829,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$true)))))))))) )
| ~ spl0_120
| spl0_130 ),
inference(forward_demodulation,[],[f3152,f3074]) ).
thf(f49550,plain,
( ~ spl0_132
| spl0_91
| ~ spl0_120 ),
inference(avatar_split_clause,[],[f48862,f3072,f1658,f3269]) ).
thf(f48862,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))))))))) )
| spl0_91
| ~ spl0_120 ),
inference(forward_demodulation,[],[f48861,f3074]) ).
thf(f48861,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$true)))))))))) )
| spl0_91
| ~ spl0_120 ),
inference(forward_demodulation,[],[f48860,f3074]) ).
thf(f48860,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$true))))))))))) )
| spl0_91
| ~ spl0_120 ),
inference(forward_demodulation,[],[f1659,f3074]) ).
thf(f1659,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true)))))))))))) )
| spl0_91 ),
inference(avatar_component_clause,[],[f1658]) ).
thf(f49549,plain,
( ~ spl0_132
| spl0_90
| ~ spl0_120 ),
inference(avatar_split_clause,[],[f48871,f3072,f1414,f3269]) ).
thf(f48871,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))))))))) )
| spl0_90
| ~ spl0_120 ),
inference(forward_demodulation,[],[f1415,f3074]) ).
thf(f49546,plain,
( spl0_14
| ~ spl0_8
| ~ spl0_120 ),
inference(avatar_split_clause,[],[f49010,f3072,f82,f109]) ).
thf(f49010,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))))))))) )
| ~ spl0_8
| ~ spl0_120 ),
inference(forward_demodulation,[],[f49009,f3074]) ).
thf(f49009,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$true)))))))))) )
| ~ spl0_8
| ~ spl0_120 ),
inference(forward_demodulation,[],[f49008,f3074]) ).
thf(f49008,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$true))))))))))) )
| ~ spl0_8
| ~ spl0_120 ),
inference(forward_demodulation,[],[f84,f3074]) ).
thf(f84,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true)))))))))))) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f82]) ).
thf(f49540,plain,
( spl0_36
| ~ spl0_34
| ~ spl0_120 ),
inference(avatar_split_clause,[],[f49365,f3072,f340,f349]) ).
thf(f49365,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$true))))))))))) )
| ~ spl0_34
| ~ spl0_120 ),
inference(forward_demodulation,[],[f342,f3074]) ).
thf(f49539,plain,
( ~ spl0_172
| ~ spl0_7
| ~ spl0_31
| spl0_69
| ~ spl0_89
| spl0_211 ),
inference(avatar_split_clause,[],[f49538,f47486,f1410,f875,f327,f78,f14057]) ).
thf(f49538,plain,
( ( $false != vAPP($o,$o,f4,$true) )
| ~ spl0_7
| ~ spl0_31
| spl0_69
| ~ spl0_89
| spl0_211 ),
inference(subsumption_resolution,[],[f49531,f47487]) ).
thf(f49531,plain,
( ( $false != vAPP($o,$o,f4,$true) )
| ( $false = vAPP($o,$o,f4,$false) )
| ~ spl0_7
| ~ spl0_31
| spl0_69
| ~ spl0_89 ),
inference(superposition,[],[f49257,f4]) ).
thf(f49238,plain,
( ~ spl0_7
| ~ spl0_79
| spl0_85
| ~ spl0_93
| ~ spl0_103 ),
inference(avatar_contradiction_clause,[],[f49237]) ).
thf(f49237,plain,
( $false
| ~ spl0_7
| ~ spl0_79
| spl0_85
| ~ spl0_93
| ~ spl0_103 ),
inference(subsumption_resolution,[],[f49236,f1670]) ).
thf(f49236,plain,
( ( $false != vAPP($o,$o,f0,$false) )
| ~ spl0_7
| ~ spl0_79
| spl0_85
| ~ spl0_93
| ~ spl0_103 ),
inference(forward_demodulation,[],[f49235,f1670]) ).
thf(f49235,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,$false)) )
| ~ spl0_7
| ~ spl0_79
| spl0_85
| ~ spl0_103 ),
inference(forward_demodulation,[],[f49234,f2415]) ).
thf(f49234,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$false))) )
| ~ spl0_7
| ~ spl0_79
| spl0_85 ),
inference(forward_demodulation,[],[f48459,f48891]) ).
thf(f48891,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$false)))))))))) )
| ~ spl0_7
| ~ spl0_79 ),
inference(forward_demodulation,[],[f962,f80]) ).
thf(f962,plain,
( ( vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x))))))))))) = $false )
| ~ spl0_79 ),
inference(avatar_component_clause,[],[f960]) ).
thf(f48459,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$false))))))))))))) )
| ~ spl0_7
| spl0_85 ),
inference(forward_demodulation,[],[f997,f80]) ).
thf(f49219,plain,
( ~ spl0_7
| spl0_29
| ~ spl0_89
| ~ spl0_113
| ~ spl0_152 ),
inference(avatar_contradiction_clause,[],[f49218]) ).
thf(f49218,plain,
( $false
| ~ spl0_7
| spl0_29
| ~ spl0_89
| ~ spl0_113
| ~ spl0_152 ),
inference(subsumption_resolution,[],[f49217,f49192]) ).
thf(f49192,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))))))) )
| ~ spl0_89
| ~ spl0_113
| ~ spl0_152 ),
inference(forward_demodulation,[],[f49191,f1412]) ).
thf(f49191,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$false))))))))) )
| ~ spl0_89
| ~ spl0_113
| ~ spl0_152 ),
inference(forward_demodulation,[],[f49190,f1412]) ).
thf(f49190,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false)))))))))) )
| ~ spl0_89
| ~ spl0_113
| ~ spl0_152 ),
inference(forward_demodulation,[],[f49189,f1412]) ).
thf(f49189,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$false))))))))))) )
| ~ spl0_113
| ~ spl0_152 ),
inference(forward_demodulation,[],[f5206,f2851]) ).
thf(f5206,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,$false)))))))))))) )
| ~ spl0_152 ),
inference(avatar_component_clause,[],[f5204]) ).
thf(f49217,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))))))) )
| ~ spl0_7
| spl0_29
| ~ spl0_89 ),
inference(forward_demodulation,[],[f49216,f1412]) ).
thf(f49216,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$false))))))))) )
| ~ spl0_7
| spl0_29
| ~ spl0_89 ),
inference(forward_demodulation,[],[f49215,f1412]) ).
thf(f49215,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false)))))))))) )
| ~ spl0_7
| spl0_29
| ~ spl0_89 ),
inference(forward_demodulation,[],[f49214,f1412]) ).
thf(f49214,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$false))))))))))) )
| ~ spl0_7
| spl0_29 ),
inference(forward_demodulation,[],[f178,f80]) ).
thf(f49078,plain,
( ~ spl0_2
| ~ spl0_7
| ~ spl0_29
| ~ spl0_89
| ~ spl0_93 ),
inference(avatar_contradiction_clause,[],[f49077]) ).
thf(f49077,plain,
( $false
| ~ spl0_2
| ~ spl0_7
| ~ spl0_29
| ~ spl0_89
| ~ spl0_93 ),
inference(trivial_inequality_removal,[],[f49076]) ).
thf(f49076,plain,
( ( $true = $false )
| ~ spl0_2
| ~ spl0_7
| ~ spl0_29
| ~ spl0_89
| ~ spl0_93 ),
inference(forward_demodulation,[],[f49073,f1670]) ).
thf(f49073,plain,
( ( $true = vAPP($o,$o,f0,$false) )
| ~ spl0_2
| ~ spl0_7
| ~ spl0_29
| ~ spl0_89 ),
inference(backward_demodulation,[],[f49052,f46318]) ).
thf(f46318,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))))))) )
| ~ spl0_7
| ~ spl0_29
| ~ spl0_89 ),
inference(forward_demodulation,[],[f46317,f1412]) ).
thf(f46317,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$false))))))))) )
| ~ spl0_7
| ~ spl0_29
| ~ spl0_89 ),
inference(forward_demodulation,[],[f46316,f1412]) ).
thf(f46316,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false)))))))))) )
| ~ spl0_7
| ~ spl0_29
| ~ spl0_89 ),
inference(forward_demodulation,[],[f46315,f1412]) ).
thf(f46315,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$false))))))))))) )
| ~ spl0_7
| ~ spl0_29 ),
inference(forward_demodulation,[],[f179,f80]) ).
thf(f49052,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))))))) )
| ~ spl0_2
| ~ spl0_7
| ~ spl0_89 ),
inference(forward_demodulation,[],[f49051,f1412]) ).
thf(f49051,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$false)))))))))) )
| ~ spl0_2
| ~ spl0_7
| ~ spl0_89 ),
inference(forward_demodulation,[],[f49050,f1412]) ).
thf(f49050,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false))))))))))) )
| ~ spl0_2
| ~ spl0_7
| ~ spl0_89 ),
inference(forward_demodulation,[],[f49049,f1412]) ).
thf(f49049,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$false)))))))))))) )
| ~ spl0_2
| ~ spl0_7 ),
inference(forward_demodulation,[],[f16,f80]) ).
thf(f16,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,x))))))))))))) = $true )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f14]) ).
thf(f49059,plain,
( ~ spl0_2
| ~ spl0_7
| ~ spl0_23
| ~ spl0_89
| ~ spl0_93
| ~ spl0_103 ),
inference(avatar_contradiction_clause,[],[f49058]) ).
thf(f49058,plain,
( $false
| ~ spl0_2
| ~ spl0_7
| ~ spl0_23
| ~ spl0_89
| ~ spl0_93
| ~ spl0_103 ),
inference(trivial_inequality_removal,[],[f49057]) ).
thf(f49057,plain,
( ( $true = $false )
| ~ spl0_2
| ~ spl0_7
| ~ spl0_23
| ~ spl0_89
| ~ spl0_93
| ~ spl0_103 ),
inference(forward_demodulation,[],[f49056,f1670]) ).
thf(f49056,plain,
( ( $true = vAPP($o,$o,f0,$false) )
| ~ spl0_2
| ~ spl0_7
| ~ spl0_23
| ~ spl0_89
| ~ spl0_103 ),
inference(forward_demodulation,[],[f49055,f2415]) ).
thf(f49055,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ~ spl0_2
| ~ spl0_7
| ~ spl0_23
| ~ spl0_89
| ~ spl0_103 ),
inference(forward_demodulation,[],[f49054,f2415]) ).
thf(f49054,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ~ spl0_2
| ~ spl0_7
| ~ spl0_23
| ~ spl0_89
| ~ spl0_103 ),
inference(forward_demodulation,[],[f49053,f2415]) ).
thf(f49053,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ~ spl0_2
| ~ spl0_7
| ~ spl0_23
| ~ spl0_89 ),
inference(forward_demodulation,[],[f49052,f47828]) ).
thf(f47828,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))) )
| ~ spl0_7
| ~ spl0_23
| ~ spl0_89 ),
inference(forward_demodulation,[],[f47827,f1412]) ).
thf(f47827,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$false)))))) )
| ~ spl0_7
| ~ spl0_23
| ~ spl0_89 ),
inference(forward_demodulation,[],[f47826,f1412]) ).
thf(f47826,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false))))))) )
| ~ spl0_7
| ~ spl0_23
| ~ spl0_89 ),
inference(forward_demodulation,[],[f47825,f1412]) ).
thf(f47825,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$false)))))))) )
| ~ spl0_7
| ~ spl0_23 ),
inference(forward_demodulation,[],[f152,f80]) ).
thf(f48851,plain,
( ~ spl0_7
| ~ spl0_23
| ~ spl0_89
| spl0_96
| ~ spl0_103 ),
inference(avatar_contradiction_clause,[],[f48850]) ).
thf(f48850,plain,
( $false
| ~ spl0_7
| ~ spl0_23
| ~ spl0_89
| spl0_96
| ~ spl0_103 ),
inference(subsumption_resolution,[],[f48849,f2415]) ).
thf(f48849,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ~ spl0_7
| ~ spl0_23
| ~ spl0_89
| spl0_96
| ~ spl0_103 ),
inference(forward_demodulation,[],[f48848,f2415]) ).
thf(f48848,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,$false)) )
| ~ spl0_7
| ~ spl0_23
| ~ spl0_89
| spl0_96 ),
inference(forward_demodulation,[],[f48847,f47828]) ).
thf(f48847,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))))) )
| ~ spl0_89
| spl0_96 ),
inference(forward_demodulation,[],[f48846,f1412]) ).
thf(f48846,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$false)))))))) )
| ~ spl0_89
| spl0_96 ),
inference(forward_demodulation,[],[f48845,f1412]) ).
thf(f48845,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false))))))))) )
| ~ spl0_89
| spl0_96 ),
inference(forward_demodulation,[],[f1753,f1412]) ).
thf(f1753,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$false)))))))))) )
| spl0_96 ),
inference(avatar_component_clause,[],[f1752]) ).
thf(f48694,plain,
( ~ spl0_68
| ~ spl0_93
| ~ spl0_172
| ~ spl0_207 ),
inference(avatar_contradiction_clause,[],[f48693]) ).
thf(f48693,plain,
( $false
| ~ spl0_68
| ~ spl0_93
| ~ spl0_172
| ~ spl0_207 ),
inference(trivial_inequality_removal,[],[f48692]) ).
thf(f48692,plain,
( ( $true = $false )
| ~ spl0_68
| ~ spl0_93
| ~ spl0_172
| ~ spl0_207 ),
inference(forward_demodulation,[],[f48691,f1670]) ).
thf(f48691,plain,
( ( $true = vAPP($o,$o,f0,$false) )
| ~ spl0_68
| ~ spl0_93
| ~ spl0_172
| ~ spl0_207 ),
inference(forward_demodulation,[],[f48690,f1670]) ).
thf(f48690,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,$false)) )
| ~ spl0_68
| ~ spl0_93
| ~ spl0_172
| ~ spl0_207 ),
inference(forward_demodulation,[],[f48682,f1670]) ).
thf(f48682,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$false))) )
| ~ spl0_68
| ~ spl0_172
| ~ spl0_207 ),
inference(backward_demodulation,[],[f48490,f43350]) ).
thf(f48490,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))))))) )
| ~ spl0_68
| ~ spl0_172 ),
inference(backward_demodulation,[],[f861,f14059]) ).
thf(f48664,plain,
( spl0_102
| spl0_184 ),
inference(avatar_contradiction_clause,[],[f48663]) ).
thf(f48663,plain,
( $false
| spl0_102
| spl0_184 ),
inference(subsumption_resolution,[],[f48657,f2236]) ).
thf(f48657,plain,
( ( $false = vAPP($o,$o,f2,$true) )
| spl0_184 ),
inference(trivial_inequality_removal,[],[f48656]) ).
thf(f48656,plain,
( ( $true != $true )
| ( $false = vAPP($o,$o,f2,$true) )
| spl0_184 ),
inference(superposition,[],[f31812,f4]) ).
thf(f31812,plain,
( ( $true != vAPP($o,$o,f2,$true) )
| spl0_184 ),
inference(avatar_component_clause,[],[f31811]) ).
thf(f48447,plain,
( spl0_172
| ~ spl0_7
| ~ spl0_31
| ~ spl0_69
| ~ spl0_89
| spl0_211 ),
inference(avatar_split_clause,[],[f48446,f47486,f1410,f875,f327,f78,f14057]) ).
thf(f48446,plain,
( ( $false = vAPP($o,$o,f4,$true) )
| ~ spl0_7
| ~ spl0_31
| ~ spl0_69
| ~ spl0_89
| spl0_211 ),
inference(subsumption_resolution,[],[f44514,f47487]) ).
thf(f44514,plain,
( ( $false = vAPP($o,$o,f4,$true) )
| ( $false = vAPP($o,$o,f4,$false) )
| ~ spl0_7
| ~ spl0_31
| ~ spl0_69
| ~ spl0_89 ),
inference(superposition,[],[f41711,f4]) ).
thf(f41711,plain,
( ( $false = vAPP($o,$o,f4,vAPP($o,$o,f4,$false)) )
| ~ spl0_7
| ~ spl0_31
| ~ spl0_69
| ~ spl0_89 ),
inference(backward_demodulation,[],[f34850,f1412]) ).
thf(f34850,plain,
( ( $false = vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,$false))) )
| ~ spl0_7
| ~ spl0_31
| ~ spl0_69 ),
inference(backward_demodulation,[],[f34822,f329]) ).
thf(f34822,plain,
( ( $false = vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$false))))) )
| ~ spl0_7
| ~ spl0_69 ),
inference(forward_demodulation,[],[f877,f80]) ).
thf(f877,plain,
( ( vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x)))))) = $false )
| ~ spl0_69 ),
inference(avatar_component_clause,[],[f875]) ).
thf(f48444,plain,
( spl0_66
| ~ spl0_61
| ~ spl0_120 ),
inference(avatar_split_clause,[],[f46876,f3072,f725,f838]) ).
thf(f46876,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$true))))))))))) )
| ~ spl0_61
| ~ spl0_120 ),
inference(forward_demodulation,[],[f727,f3074]) ).
thf(f48440,plain,
( spl0_132
| ~ spl0_120
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f48041,f3151,f3072,f3269]) ).
thf(f48041,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))))))))) )
| ~ spl0_120
| ~ spl0_130 ),
inference(forward_demodulation,[],[f48040,f3074]) ).
thf(f48040,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$true)))))))))) )
| ~ spl0_120
| ~ spl0_130 ),
inference(forward_demodulation,[],[f3153,f3074]) ).
thf(f48439,plain,
( spl0_132
| ~ spl0_91
| ~ spl0_120 ),
inference(avatar_split_clause,[],[f48057,f3072,f1658,f3269]) ).
thf(f48057,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))))))))) )
| ~ spl0_91
| ~ spl0_120 ),
inference(forward_demodulation,[],[f48056,f3074]) ).
thf(f48056,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$true)))))))))) )
| ~ spl0_91
| ~ spl0_120 ),
inference(forward_demodulation,[],[f48055,f3074]) ).
thf(f48055,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$true))))))))))) )
| ~ spl0_91
| ~ spl0_120 ),
inference(forward_demodulation,[],[f1660,f3074]) ).
thf(f48437,plain,
( ~ spl0_14
| spl0_12
| ~ spl0_120 ),
inference(avatar_split_clause,[],[f48166,f3072,f100,f109]) ).
thf(f48166,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))))))))) )
| spl0_12
| ~ spl0_120 ),
inference(forward_demodulation,[],[f101,f3074]) ).
thf(f101,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$true)))))))))) )
| spl0_12 ),
inference(avatar_component_clause,[],[f100]) ).
thf(f48311,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_85
| ~ spl0_93 ),
inference(avatar_contradiction_clause,[],[f48310]) ).
thf(f48310,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| ~ spl0_85
| ~ spl0_93 ),
inference(trivial_inequality_removal,[],[f48309]) ).
thf(f48309,plain,
( ( $true = $false )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_85
| ~ spl0_93 ),
inference(forward_demodulation,[],[f48306,f1670]) ).
thf(f48306,plain,
( ( $true = vAPP($o,$o,f0,$false) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_85 ),
inference(backward_demodulation,[],[f48206,f47694]) ).
thf(f47694,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$false))))))))))))) )
| ~ spl0_7
| ~ spl0_85 ),
inference(forward_demodulation,[],[f998,f80]) ).
thf(f998,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x)))))))))))))) = $false )
| ~ spl0_85 ),
inference(avatar_component_clause,[],[f996]) ).
thf(f48206,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$false)))))))))))))) )
| ~ spl0_1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f12,f80]) ).
thf(f12,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x))))))))))))))) = $true )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f10]) ).
thf(f48308,plain,
( spl0_3
| ~ spl0_7
| ~ spl0_85
| ~ spl0_93 ),
inference(avatar_contradiction_clause,[],[f48307]) ).
thf(f48307,plain,
( $false
| spl0_3
| ~ spl0_7
| ~ spl0_85
| ~ spl0_93 ),
inference(subsumption_resolution,[],[f48305,f1670]) ).
thf(f48305,plain,
( ( $false != vAPP($o,$o,f0,$false) )
| spl0_3
| ~ spl0_7
| ~ spl0_85 ),
inference(backward_demodulation,[],[f48191,f47694]) ).
thf(f48191,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$false)))))))))))))) )
| spl0_3
| ~ spl0_7 ),
inference(forward_demodulation,[],[f20,f80]) ).
thf(f20,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x))))))))))))))) != $false )
| spl0_3 ),
inference(avatar_component_clause,[],[f19]) ).
thf(f48266,plain,
( ~ spl0_78
| ~ spl0_93
| ~ spl0_192 ),
inference(avatar_contradiction_clause,[],[f48265]) ).
thf(f48265,plain,
( $false
| ~ spl0_78
| ~ spl0_93
| ~ spl0_192 ),
inference(trivial_inequality_removal,[],[f48264]) ).
thf(f48264,plain,
( ( $true = $false )
| ~ spl0_78
| ~ spl0_93
| ~ spl0_192 ),
inference(forward_demodulation,[],[f48263,f1670]) ).
thf(f48263,plain,
( ( $true = vAPP($o,$o,f0,$false) )
| ~ spl0_78
| ~ spl0_192 ),
inference(forward_demodulation,[],[f951,f33077]) ).
thf(f33077,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$true)))) )
| ~ spl0_192 ),
inference(avatar_component_clause,[],[f33075]) ).
thf(f951,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))))) )
| ~ spl0_78 ),
inference(avatar_component_clause,[],[f949]) ).
thf(f48218,plain,
( ~ spl0_76
| ~ spl0_93
| ~ spl0_197 ),
inference(avatar_contradiction_clause,[],[f48217]) ).
thf(f48217,plain,
( $false
| ~ spl0_76
| ~ spl0_93
| ~ spl0_197 ),
inference(trivial_inequality_removal,[],[f48216]) ).
thf(f48216,plain,
( ( $true = $false )
| ~ spl0_76
| ~ spl0_93
| ~ spl0_197 ),
inference(forward_demodulation,[],[f48215,f1670]) ).
thf(f48215,plain,
( ( $true = vAPP($o,$o,f0,$false) )
| ~ spl0_76
| ~ spl0_93
| ~ spl0_197 ),
inference(forward_demodulation,[],[f48214,f1670]) ).
thf(f48214,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,$false)) )
| ~ spl0_76
| ~ spl0_93
| ~ spl0_197 ),
inference(forward_demodulation,[],[f48212,f1670]) ).
thf(f48212,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$false))) )
| ~ spl0_76
| ~ spl0_197 ),
inference(backward_demodulation,[],[f935,f33153]) ).
thf(f33153,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))) )
| ~ spl0_197 ),
inference(avatar_component_clause,[],[f33151]) ).
thf(f47976,plain,
( ~ spl0_72
| ~ spl0_93
| ~ spl0_180
| ~ spl0_182
| ~ spl0_192 ),
inference(avatar_contradiction_clause,[],[f47975]) ).
thf(f47975,plain,
( $false
| ~ spl0_72
| ~ spl0_93
| ~ spl0_180
| ~ spl0_182
| ~ spl0_192 ),
inference(trivial_inequality_removal,[],[f47974]) ).
thf(f47974,plain,
( ( $true = $false )
| ~ spl0_72
| ~ spl0_93
| ~ spl0_180
| ~ spl0_182
| ~ spl0_192 ),
inference(forward_demodulation,[],[f47973,f1670]) ).
thf(f47973,plain,
( ( $true = vAPP($o,$o,f0,$false) )
| ~ spl0_72
| ~ spl0_180
| ~ spl0_182
| ~ spl0_192 ),
inference(forward_demodulation,[],[f47972,f33077]) ).
thf(f47972,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))))) )
| ~ spl0_72
| ~ spl0_180
| ~ spl0_182 ),
inference(forward_demodulation,[],[f47959,f31785]) ).
thf(f47959,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))))))) )
| ~ spl0_72
| ~ spl0_180 ),
inference(backward_demodulation,[],[f900,f31777]) ).
thf(f47843,plain,
( spl0_211
| ~ spl0_7
| ~ spl0_15
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f47842,f1410,f114,f78,f47486]) ).
thf(f47842,plain,
( ( $false = vAPP($o,$o,f4,$false) )
| ~ spl0_7
| ~ spl0_15
| ~ spl0_89 ),
inference(forward_demodulation,[],[f47841,f1412]) ).
thf(f47841,plain,
( ( $false = vAPP($o,$o,f4,vAPP($o,$o,f5,$false)) )
| ~ spl0_7
| ~ spl0_15
| ~ spl0_89 ),
inference(forward_demodulation,[],[f47840,f1412]) ).
thf(f47840,plain,
( ( $false = vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false))) )
| ~ spl0_7
| ~ spl0_15
| ~ spl0_89 ),
inference(forward_demodulation,[],[f47839,f1412]) ).
thf(f47839,plain,
( ( $false = vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$false)))) )
| ~ spl0_7
| ~ spl0_15 ),
inference(forward_demodulation,[],[f116,f80]) ).
thf(f47832,plain,
( ~ spl0_7
| ~ spl0_19
| ~ spl0_23
| ~ spl0_89
| ~ spl0_157
| spl0_173 ),
inference(avatar_contradiction_clause,[],[f47831]) ).
thf(f47831,plain,
( $false
| ~ spl0_7
| ~ spl0_19
| ~ spl0_23
| ~ spl0_89
| ~ spl0_157
| spl0_173 ),
inference(subsumption_resolution,[],[f47830,f19784]) ).
thf(f47830,plain,
( ( $false = vAPP($o,$o,f2,$false) )
| ~ spl0_7
| ~ spl0_19
| ~ spl0_23
| ~ spl0_89
| ~ spl0_157 ),
inference(forward_demodulation,[],[f47829,f6228]) ).
thf(f47829,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,$false)) )
| ~ spl0_7
| ~ spl0_19
| ~ spl0_23
| ~ spl0_89 ),
inference(forward_demodulation,[],[f47828,f45566]) ).
thf(f45566,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))) )
| ~ spl0_7
| ~ spl0_19
| ~ spl0_89 ),
inference(forward_demodulation,[],[f45565,f1412]) ).
thf(f45565,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$false)))) )
| ~ spl0_7
| ~ spl0_19
| ~ spl0_89 ),
inference(forward_demodulation,[],[f45564,f1412]) ).
thf(f45564,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false))))) )
| ~ spl0_7
| ~ spl0_19
| ~ spl0_89 ),
inference(forward_demodulation,[],[f45563,f1412]) ).
thf(f45563,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$false)))))) )
| ~ spl0_7
| ~ spl0_19 ),
inference(forward_demodulation,[],[f134,f80]) ).
thf(f47601,plain,
( spl0_211
| ~ spl0_89
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f47600,f3279,f1410,f47486]) ).
thf(f47600,plain,
( ( $false = vAPP($o,$o,f4,$false) )
| ~ spl0_89
| ~ spl0_134 ),
inference(forward_demodulation,[],[f47599,f1412]) ).
thf(f47599,plain,
( ( $false = vAPP($o,$o,f4,vAPP($o,$o,f5,$false)) )
| ~ spl0_89
| ~ spl0_134 ),
inference(forward_demodulation,[],[f3281,f1412]) ).
thf(f3281,plain,
( ( $false = vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false))) )
| ~ spl0_134 ),
inference(avatar_component_clause,[],[f3279]) ).
thf(f47559,plain,
( ~ spl0_7
| ~ spl0_19
| ~ spl0_29
| ~ spl0_89
| ~ spl0_157
| ~ spl0_164
| spl0_167 ),
inference(avatar_contradiction_clause,[],[f47558]) ).
thf(f47558,plain,
( $false
| ~ spl0_7
| ~ spl0_19
| ~ spl0_29
| ~ spl0_89
| ~ spl0_157
| ~ spl0_164
| spl0_167 ),
inference(subsumption_resolution,[],[f47555,f46320]) ).
thf(f46320,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$false)))) )
| ~ spl0_7
| ~ spl0_19
| ~ spl0_29
| ~ spl0_89
| ~ spl0_157 ),
inference(forward_demodulation,[],[f46319,f6228]) ).
thf(f46319,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$false))))) )
| ~ spl0_7
| ~ spl0_19
| ~ spl0_29
| ~ spl0_89 ),
inference(forward_demodulation,[],[f46318,f45566]) ).
thf(f47555,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$false)))) )
| ~ spl0_164
| spl0_167 ),
inference(backward_demodulation,[],[f8069,f7256]) ).
thf(f47513,plain,
( ~ spl0_31
| ~ spl0_40
| ~ spl0_93
| spl0_155
| ~ spl0_168
| ~ spl0_207 ),
inference(avatar_contradiction_clause,[],[f47512]) ).
thf(f47512,plain,
( $false
| ~ spl0_31
| ~ spl0_40
| ~ spl0_93
| spl0_155
| ~ spl0_168
| ~ spl0_207 ),
inference(subsumption_resolution,[],[f47511,f1670]) ).
thf(f47511,plain,
( ( $false != vAPP($o,$o,f0,$false) )
| ~ spl0_31
| ~ spl0_40
| ~ spl0_93
| spl0_155
| ~ spl0_168
| ~ spl0_207 ),
inference(forward_demodulation,[],[f47510,f1670]) ).
thf(f47510,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,$false)) )
| ~ spl0_31
| ~ spl0_40
| spl0_155
| ~ spl0_168
| ~ spl0_207 ),
inference(forward_demodulation,[],[f47509,f43350]) ).
thf(f47509,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))))))) )
| ~ spl0_31
| ~ spl0_40
| spl0_155
| ~ spl0_168 ),
inference(backward_demodulation,[],[f46844,f47508]) ).
thf(f47508,plain,
( ( $false = vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,$false)))) )
| ~ spl0_31
| ~ spl0_40 ),
inference(backward_demodulation,[],[f386,f329]) ).
thf(f46844,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,$false)))))))))))) )
| spl0_155
| ~ spl0_168 ),
inference(forward_demodulation,[],[f5833,f9125]) ).
thf(f47490,plain,
( ~ spl0_211
| ~ spl0_7
| spl0_17
| ~ spl0_89
| ~ spl0_157 ),
inference(avatar_split_clause,[],[f46991,f6226,f1410,f123,f78,f47486]) ).
thf(f46991,plain,
( ( $false != vAPP($o,$o,f4,$false) )
| ~ spl0_7
| spl0_17
| ~ spl0_89
| ~ spl0_157 ),
inference(trivial_inequality_removal,[],[f46987]) ).
thf(f46987,plain,
( ( $false != $false )
| ( $false != vAPP($o,$o,f4,$false) )
| ~ spl0_7
| spl0_17
| ~ spl0_89
| ~ spl0_157 ),
inference(constrained_superposition,[],[f46353,f6228]) ).
thf(f46353,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,$false)) )
| ~ spl0_7
| spl0_17
| ~ spl0_89 ),
inference(forward_demodulation,[],[f46352,f1412]) ).
thf(f46352,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$false))) )
| ~ spl0_7
| spl0_17
| ~ spl0_89 ),
inference(forward_demodulation,[],[f46351,f1412]) ).
thf(f46351,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false)))) )
| ~ spl0_7
| spl0_17
| ~ spl0_89 ),
inference(forward_demodulation,[],[f46350,f1412]) ).
thf(f46350,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$false))))) )
| ~ spl0_7
| spl0_17 ),
inference(forward_demodulation,[],[f124,f80]) ).
thf(f47489,plain,
( spl0_211
| ~ spl0_143
| ~ spl0_7
| spl0_17
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f46986,f1410,f123,f78,f4459,f47486]) ).
thf(f46986,plain,
( ( $false != vAPP($o,$o,f3,$true) )
| ( $false = vAPP($o,$o,f4,$false) )
| ~ spl0_7
| spl0_17
| ~ spl0_89 ),
inference(superposition,[],[f46353,f4]) ).
thf(f47334,plain,
( spl0_45
| ~ spl0_93
| ~ spl0_104
| ~ spl0_184 ),
inference(avatar_contradiction_clause,[],[f47333]) ).
thf(f47333,plain,
( $false
| spl0_45
| ~ spl0_93
| ~ spl0_104
| ~ spl0_184 ),
inference(subsumption_resolution,[],[f47332,f1670]) ).
thf(f47332,plain,
( ( $false != vAPP($o,$o,f0,$false) )
| spl0_45
| ~ spl0_93
| ~ spl0_104
| ~ spl0_184 ),
inference(forward_demodulation,[],[f47331,f1670]) ).
thf(f47331,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,$false)) )
| spl0_45
| ~ spl0_93
| ~ spl0_104
| ~ spl0_184 ),
inference(forward_demodulation,[],[f47330,f1670]) ).
thf(f47330,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$false))) )
| spl0_45
| ~ spl0_104
| ~ spl0_184 ),
inference(forward_demodulation,[],[f47329,f2419]) ).
thf(f47329,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| spl0_45
| ~ spl0_184 ),
inference(forward_demodulation,[],[f47328,f31813]) ).
thf(f47328,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))))) )
| spl0_45
| ~ spl0_184 ),
inference(forward_demodulation,[],[f47327,f31813]) ).
thf(f47327,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true)))))) )
| spl0_45
| ~ spl0_184 ),
inference(forward_demodulation,[],[f420,f31813]) ).
thf(f47259,plain,
( ~ spl0_74
| ~ spl0_93
| ~ spl0_104
| ~ spl0_184 ),
inference(avatar_contradiction_clause,[],[f47258]) ).
thf(f47258,plain,
( $false
| ~ spl0_74
| ~ spl0_93
| ~ spl0_104
| ~ spl0_184 ),
inference(trivial_inequality_removal,[],[f47257]) ).
thf(f47257,plain,
( ( $true = $false )
| ~ spl0_74
| ~ spl0_93
| ~ spl0_104
| ~ spl0_184 ),
inference(forward_demodulation,[],[f47256,f1670]) ).
thf(f47256,plain,
( ( $true = vAPP($o,$o,f0,$false) )
| ~ spl0_74
| ~ spl0_93
| ~ spl0_104
| ~ spl0_184 ),
inference(forward_demodulation,[],[f47255,f1670]) ).
thf(f47255,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,$false)) )
| ~ spl0_74
| ~ spl0_93
| ~ spl0_104
| ~ spl0_184 ),
inference(forward_demodulation,[],[f47254,f1670]) ).
thf(f47254,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$false))) )
| ~ spl0_74
| ~ spl0_104
| ~ spl0_184 ),
inference(forward_demodulation,[],[f47253,f2419]) ).
thf(f47253,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ~ spl0_74
| ~ spl0_184 ),
inference(forward_demodulation,[],[f47252,f31813]) ).
thf(f47252,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))))) )
| ~ spl0_74
| ~ spl0_184 ),
inference(forward_demodulation,[],[f47251,f31813]) ).
thf(f47251,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true)))))) )
| ~ spl0_74
| ~ spl0_184 ),
inference(forward_demodulation,[],[f918,f31813]) ).
thf(f47113,plain,
( spl0_93
| ~ spl0_104
| ~ spl0_156
| ~ spl0_166
| ~ spl0_180
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f47112,f31811,f31775,f7911,f6222,f2417,f1668]) ).
thf(f47112,plain,
( ( $false = vAPP($o,$o,f0,$false) )
| ~ spl0_104
| ~ spl0_156
| ~ spl0_166
| ~ spl0_180
| ~ spl0_184 ),
inference(forward_demodulation,[],[f47111,f7913]) ).
thf(f47111,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ~ spl0_104
| ~ spl0_156
| ~ spl0_180
| ~ spl0_184 ),
inference(forward_demodulation,[],[f47110,f2419]) ).
thf(f47110,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$true)))) )
| ~ spl0_156
| ~ spl0_180
| ~ spl0_184 ),
inference(forward_demodulation,[],[f47109,f31813]) ).
thf(f47109,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))))) )
| ~ spl0_156
| ~ spl0_180 ),
inference(forward_demodulation,[],[f47108,f31777]) ).
thf(f47108,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$true)))))) )
| ~ spl0_156
| ~ spl0_180 ),
inference(forward_demodulation,[],[f6224,f31777]) ).
thf(f47087,plain,
( ~ spl0_93
| spl0_43
| ~ spl0_104
| ~ spl0_180
| ~ spl0_184
| ~ spl0_208 ),
inference(avatar_split_clause,[],[f47086,f43352,f31811,f31775,f2417,f404,f1668]) ).
thf(f47086,plain,
( ( $false != vAPP($o,$o,f0,$false) )
| spl0_43
| ~ spl0_104
| ~ spl0_180
| ~ spl0_184
| ~ spl0_208 ),
inference(forward_demodulation,[],[f47085,f43354]) ).
thf(f47085,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$false))) )
| spl0_43
| ~ spl0_104
| ~ spl0_180
| ~ spl0_184 ),
inference(forward_demodulation,[],[f47084,f2419]) ).
thf(f47084,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| spl0_43
| ~ spl0_180
| ~ spl0_184 ),
inference(forward_demodulation,[],[f47083,f31813]) ).
thf(f47083,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))))) )
| spl0_43
| ~ spl0_180
| ~ spl0_184 ),
inference(forward_demodulation,[],[f47082,f31813]) ).
thf(f47082,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true)))))) )
| spl0_43
| ~ spl0_180
| ~ spl0_184 ),
inference(forward_demodulation,[],[f47068,f31813]) ).
thf(f47068,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))))))) )
| spl0_43
| ~ spl0_180 ),
inference(backward_demodulation,[],[f405,f31777]) ).
thf(f47076,plain,
( spl0_94
| ~ spl0_72
| ~ spl0_104
| ~ spl0_180
| ~ spl0_184
| ~ spl0_208 ),
inference(avatar_split_clause,[],[f47075,f43352,f31811,f31775,f2417,f898,f1674]) ).
thf(f47075,plain,
( ( $true = vAPP($o,$o,f0,$false) )
| ~ spl0_72
| ~ spl0_104
| ~ spl0_180
| ~ spl0_184
| ~ spl0_208 ),
inference(forward_demodulation,[],[f47074,f43354]) ).
thf(f47074,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$false))) )
| ~ spl0_72
| ~ spl0_104
| ~ spl0_180
| ~ spl0_184 ),
inference(forward_demodulation,[],[f47073,f2419]) ).
thf(f47073,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ~ spl0_72
| ~ spl0_180
| ~ spl0_184 ),
inference(forward_demodulation,[],[f47072,f31813]) ).
thf(f47072,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))))) )
| ~ spl0_72
| ~ spl0_180
| ~ spl0_184 ),
inference(forward_demodulation,[],[f47071,f31813]) ).
thf(f47071,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true)))))) )
| ~ spl0_72
| ~ spl0_180
| ~ spl0_184 ),
inference(forward_demodulation,[],[f47065,f31813]) ).
thf(f47065,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))))))) )
| ~ spl0_72
| ~ spl0_180 ),
inference(backward_demodulation,[],[f900,f31777]) ).
thf(f47056,plain,
( ~ spl0_104
| ~ spl0_184
| spl0_192
| ~ spl0_208 ),
inference(avatar_contradiction_clause,[],[f47055]) ).
thf(f47055,plain,
( $false
| ~ spl0_104
| ~ spl0_184
| spl0_192
| ~ spl0_208 ),
inference(subsumption_resolution,[],[f47054,f43354]) ).
thf(f47054,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,$false)) )
| ~ spl0_104
| ~ spl0_184
| spl0_192 ),
inference(forward_demodulation,[],[f47044,f2419]) ).
thf(f47044,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true))) )
| ~ spl0_184
| spl0_192 ),
inference(backward_demodulation,[],[f33076,f31813]) ).
thf(f47050,plain,
( spl0_93
| ~ spl0_49
| ~ spl0_104
| ~ spl0_184
| ~ spl0_208 ),
inference(avatar_split_clause,[],[f47049,f43352,f31811,f2417,f446,f1668]) ).
thf(f47049,plain,
( ( $false = vAPP($o,$o,f0,$false) )
| ~ spl0_49
| ~ spl0_104
| ~ spl0_184
| ~ spl0_208 ),
inference(forward_demodulation,[],[f47048,f43354]) ).
thf(f47048,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$false))) )
| ~ spl0_49
| ~ spl0_104
| ~ spl0_184 ),
inference(forward_demodulation,[],[f47041,f2419]) ).
thf(f47041,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ~ spl0_49
| ~ spl0_184 ),
inference(backward_demodulation,[],[f448,f31813]) ).
thf(f448,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))))) )
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f446]) ).
thf(f47019,plain,
( ~ spl0_143
| ~ spl0_7
| spl0_17
| ~ spl0_31
| ~ spl0_69
| spl0_71
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f47018,f1410,f894,f875,f327,f123,f78,f4459]) ).
thf(f47018,plain,
( ( $false != vAPP($o,$o,f3,$true) )
| ~ spl0_7
| spl0_17
| ~ spl0_31
| ~ spl0_69
| spl0_71
| ~ spl0_89 ),
inference(subsumption_resolution,[],[f46986,f41584]) ).
thf(f41584,plain,
( ( $false != vAPP($o,$o,f4,$false) )
| ~ spl0_7
| ~ spl0_31
| ~ spl0_69
| spl0_71 ),
inference(backward_demodulation,[],[f41040,f34850]) ).
thf(f41040,plain,
( ( $false != vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,$false)))) )
| ~ spl0_7
| ~ spl0_31
| spl0_71 ),
inference(backward_demodulation,[],[f40413,f329]) ).
thf(f40413,plain,
( ( $false != vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$false)))))) )
| ~ spl0_7
| spl0_71 ),
inference(forward_demodulation,[],[f895,f80]) ).
thf(f47017,plain,
( ~ spl0_103
| ~ spl0_7
| ~ spl0_19
| spl0_27
| ~ spl0_89
| ~ spl0_157
| ~ spl0_174 ),
inference(avatar_split_clause,[],[f46439,f22938,f6226,f1410,f168,f132,f78,f2413]) ).
thf(f46439,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ~ spl0_7
| ~ spl0_19
| spl0_27
| ~ spl0_89
| ~ spl0_157
| ~ spl0_174 ),
inference(backward_demodulation,[],[f46329,f22940]) ).
thf(f46329,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$false))) )
| ~ spl0_7
| ~ spl0_19
| spl0_27
| ~ spl0_89
| ~ spl0_157 ),
inference(forward_demodulation,[],[f46328,f6228]) ).
thf(f46328,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$false)))) )
| ~ spl0_7
| ~ spl0_19
| spl0_27
| ~ spl0_89 ),
inference(forward_demodulation,[],[f46327,f45566]) ).
thf(f46327,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))))) )
| ~ spl0_7
| spl0_27
| ~ spl0_89 ),
inference(forward_demodulation,[],[f46326,f1412]) ).
thf(f46326,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$false)))))))) )
| ~ spl0_7
| spl0_27
| ~ spl0_89 ),
inference(forward_demodulation,[],[f46325,f1412]) ).
thf(f46325,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false))))))))) )
| ~ spl0_7
| spl0_27
| ~ spl0_89 ),
inference(forward_demodulation,[],[f46324,f1412]) ).
thf(f46324,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$false)))))))))) )
| ~ spl0_7
| spl0_27 ),
inference(forward_demodulation,[],[f169,f80]) ).
thf(f47007,plain,
( spl0_154
| ~ spl0_97
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f45430,f2417,f2067,f5828]) ).
thf(f45430,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ~ spl0_97
| ~ spl0_104 ),
inference(forward_demodulation,[],[f2069,f2419]) ).
thf(f46114,plain,
( ~ spl0_99
| ~ spl0_104
| ~ spl0_143
| ~ spl0_174
| spl0_189 ),
inference(avatar_contradiction_clause,[],[f46113]) ).
thf(f46113,plain,
( $false
| ~ spl0_99
| ~ spl0_104
| ~ spl0_143
| ~ spl0_174
| spl0_189 ),
inference(subsumption_resolution,[],[f46112,f2419]) ).
thf(f46112,plain,
( ( $false != vAPP($o,$o,f1,$true) )
| ~ spl0_99
| ~ spl0_143
| ~ spl0_174
| spl0_189 ),
inference(forward_demodulation,[],[f46111,f2165]) ).
thf(f46111,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,$false)) )
| ~ spl0_143
| ~ spl0_174
| spl0_189 ),
inference(forward_demodulation,[],[f45346,f22940]) ).
thf(f45346,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$false)))) )
| ~ spl0_143
| spl0_189 ),
inference(forward_demodulation,[],[f33058,f4461]) ).
thf(f46008,plain,
( spl0_16
| ~ spl0_94
| ~ spl0_99
| ~ spl0_104
| ~ spl0_143
| ~ spl0_157
| ~ spl0_174 ),
inference(avatar_contradiction_clause,[],[f46007]) ).
thf(f46007,plain,
( $false
| spl0_16
| ~ spl0_94
| ~ spl0_99
| ~ spl0_104
| ~ spl0_143
| ~ spl0_157
| ~ spl0_174 ),
inference(subsumption_resolution,[],[f46006,f1676]) ).
thf(f46006,plain,
( ( $true != vAPP($o,$o,f0,$false) )
| spl0_16
| ~ spl0_99
| ~ spl0_104
| ~ spl0_143
| ~ spl0_157
| ~ spl0_174 ),
inference(forward_demodulation,[],[f46005,f2419]) ).
thf(f46005,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| spl0_16
| ~ spl0_99
| ~ spl0_143
| ~ spl0_157
| ~ spl0_174 ),
inference(forward_demodulation,[],[f46004,f2165]) ).
thf(f46004,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| spl0_16
| ~ spl0_143
| ~ spl0_157
| ~ spl0_174 ),
inference(forward_demodulation,[],[f46003,f22940]) ).
thf(f46003,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$false))))) )
| spl0_16
| ~ spl0_143
| ~ spl0_157 ),
inference(forward_demodulation,[],[f46002,f6228]) ).
thf(f46002,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$false)))))) )
| spl0_16
| ~ spl0_143
| ~ spl0_157 ),
inference(forward_demodulation,[],[f46001,f6228]) ).
thf(f46001,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$false))))))) )
| spl0_16
| ~ spl0_143 ),
inference(forward_demodulation,[],[f119,f4461]) ).
thf(f46000,plain,
( ~ spl0_7
| ~ spl0_17
| spl0_25
| ~ spl0_89
| ~ spl0_157
| ~ spl0_174 ),
inference(avatar_contradiction_clause,[],[f45999]) ).
thf(f45999,plain,
( $false
| ~ spl0_7
| ~ spl0_17
| spl0_25
| ~ spl0_89
| ~ spl0_157
| ~ spl0_174 ),
inference(subsumption_resolution,[],[f45998,f22940]) ).
thf(f45998,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,$false)) )
| ~ spl0_7
| ~ spl0_17
| spl0_25
| ~ spl0_89
| ~ spl0_157 ),
inference(forward_demodulation,[],[f45997,f6228]) ).
thf(f45997,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$false))) )
| ~ spl0_7
| ~ spl0_17
| spl0_25
| ~ spl0_89
| ~ spl0_157 ),
inference(forward_demodulation,[],[f45996,f6228]) ).
thf(f45996,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$false)))) )
| ~ spl0_7
| ~ spl0_17
| spl0_25
| ~ spl0_89 ),
inference(forward_demodulation,[],[f45995,f43742]) ).
thf(f43742,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,$false)) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_89 ),
inference(forward_demodulation,[],[f43741,f1412]) ).
thf(f43741,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$false))) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_89 ),
inference(forward_demodulation,[],[f43740,f1412]) ).
thf(f43740,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false)))) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_89 ),
inference(forward_demodulation,[],[f43739,f1412]) ).
thf(f43739,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$false))))) )
| ~ spl0_7
| ~ spl0_17 ),
inference(forward_demodulation,[],[f125,f80]) ).
thf(f45995,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))))) )
| ~ spl0_7
| spl0_25
| ~ spl0_89 ),
inference(forward_demodulation,[],[f45994,f1412]) ).
thf(f45994,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$false))))))) )
| ~ spl0_7
| spl0_25
| ~ spl0_89 ),
inference(forward_demodulation,[],[f45993,f1412]) ).
thf(f45993,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false)))))))) )
| ~ spl0_7
| spl0_25
| ~ spl0_89 ),
inference(forward_demodulation,[],[f45992,f1412]) ).
thf(f45992,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$false))))))))) )
| ~ spl0_7
| spl0_25 ),
inference(forward_demodulation,[],[f160,f80]) ).
thf(f45991,plain,
( ~ spl0_7
| ~ spl0_17
| ~ spl0_27
| ~ spl0_89
| spl0_103
| ~ spl0_157
| ~ spl0_174 ),
inference(avatar_contradiction_clause,[],[f45990]) ).
thf(f45990,plain,
( $false
| ~ spl0_7
| ~ spl0_17
| ~ spl0_27
| ~ spl0_89
| spl0_103
| ~ spl0_157
| ~ spl0_174 ),
inference(subsumption_resolution,[],[f45989,f2414]) ).
thf(f2414,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| spl0_103 ),
inference(avatar_component_clause,[],[f2413]) ).
thf(f45989,plain,
( ( $false = vAPP($o,$o,f1,$false) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_27
| ~ spl0_89
| ~ spl0_157
| ~ spl0_174 ),
inference(forward_demodulation,[],[f45988,f22940]) ).
thf(f45988,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$false))) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_27
| ~ spl0_89
| ~ spl0_157 ),
inference(forward_demodulation,[],[f45987,f6228]) ).
thf(f45987,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$false)))) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_27
| ~ spl0_89
| ~ spl0_157 ),
inference(forward_demodulation,[],[f45986,f6228]) ).
thf(f45986,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$false))))) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_27
| ~ spl0_89 ),
inference(forward_demodulation,[],[f45985,f43742]) ).
thf(f45985,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))))) )
| ~ spl0_7
| ~ spl0_27
| ~ spl0_89 ),
inference(forward_demodulation,[],[f45984,f1412]) ).
thf(f45984,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$false)))))))) )
| ~ spl0_7
| ~ spl0_27
| ~ spl0_89 ),
inference(forward_demodulation,[],[f45983,f1412]) ).
thf(f45983,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false))))))))) )
| ~ spl0_7
| ~ spl0_27
| ~ spl0_89 ),
inference(forward_demodulation,[],[f45982,f1412]) ).
thf(f45982,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$false)))))))))) )
| ~ spl0_7
| ~ spl0_27 ),
inference(forward_demodulation,[],[f170,f80]) ).
thf(f45731,plain,
( spl0_93
| ~ spl0_99
| ~ spl0_104
| ~ spl0_133
| ~ spl0_143
| ~ spl0_157
| ~ spl0_174 ),
inference(avatar_contradiction_clause,[],[f45730]) ).
thf(f45730,plain,
( $false
| spl0_93
| ~ spl0_99
| ~ spl0_104
| ~ spl0_133
| ~ spl0_143
| ~ spl0_157
| ~ spl0_174 ),
inference(subsumption_resolution,[],[f45729,f1669]) ).
thf(f45729,plain,
( ( $false = vAPP($o,$o,f0,$false) )
| ~ spl0_99
| ~ spl0_104
| ~ spl0_133
| ~ spl0_143
| ~ spl0_157
| ~ spl0_174 ),
inference(forward_demodulation,[],[f45728,f2419]) ).
thf(f45728,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ~ spl0_99
| ~ spl0_133
| ~ spl0_143
| ~ spl0_157
| ~ spl0_174 ),
inference(forward_demodulation,[],[f45727,f2165]) ).
thf(f45727,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ~ spl0_133
| ~ spl0_143
| ~ spl0_157
| ~ spl0_174 ),
inference(forward_demodulation,[],[f45726,f22940]) ).
thf(f45726,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$false))))) )
| ~ spl0_133
| ~ spl0_143
| ~ spl0_157 ),
inference(forward_demodulation,[],[f45725,f6228]) ).
thf(f45725,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$false)))))) )
| ~ spl0_133
| ~ spl0_143
| ~ spl0_157 ),
inference(forward_demodulation,[],[f45724,f6228]) ).
thf(f45724,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$false))))))) )
| ~ spl0_133
| ~ spl0_143 ),
inference(forward_demodulation,[],[f3277,f4461]) ).
thf(f45638,plain,
( spl0_173
| ~ spl0_7
| ~ spl0_17
| ~ spl0_23
| ~ spl0_89
| ~ spl0_140 ),
inference(avatar_split_clause,[],[f45270,f4388,f1410,f150,f123,f78,f19783]) ).
thf(f45270,plain,
( ( $false = vAPP($o,$o,f2,$false) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_23
| ~ spl0_89
| ~ spl0_140 ),
inference(backward_demodulation,[],[f45084,f4390]) ).
thf(f45084,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$false))) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_23
| ~ spl0_89 ),
inference(forward_demodulation,[],[f45083,f43742]) ).
thf(f45083,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))) )
| ~ spl0_7
| ~ spl0_23
| ~ spl0_89 ),
inference(forward_demodulation,[],[f45082,f1412]) ).
thf(f45082,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$false)))))) )
| ~ spl0_7
| ~ spl0_23
| ~ spl0_89 ),
inference(forward_demodulation,[],[f45081,f1412]) ).
thf(f45081,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false))))))) )
| ~ spl0_7
| ~ spl0_23
| ~ spl0_89 ),
inference(forward_demodulation,[],[f45080,f1412]) ).
thf(f45080,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$false)))))))) )
| ~ spl0_7
| ~ spl0_23 ),
inference(forward_demodulation,[],[f152,f80]) ).
thf(f45388,plain,
( spl0_154
| ~ spl0_143
| ~ spl0_156
| ~ spl0_157
| ~ spl0_166
| ~ spl0_173 ),
inference(avatar_split_clause,[],[f45387,f19783,f7911,f6226,f6222,f4459,f5828]) ).
thf(f45387,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ~ spl0_143
| ~ spl0_156
| ~ spl0_157
| ~ spl0_166
| ~ spl0_173 ),
inference(forward_demodulation,[],[f45386,f7913]) ).
thf(f45386,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ~ spl0_143
| ~ spl0_156
| ~ spl0_157
| ~ spl0_173 ),
inference(forward_demodulation,[],[f45385,f19785]) ).
thf(f45385,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$false))))) )
| ~ spl0_143
| ~ spl0_156
| ~ spl0_157 ),
inference(forward_demodulation,[],[f45384,f6228]) ).
thf(f45384,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$false)))))) )
| ~ spl0_143
| ~ spl0_156 ),
inference(forward_demodulation,[],[f6224,f4461]) ).
thf(f45376,plain,
( ~ spl0_103
| ~ spl0_101
| ~ spl0_140
| spl0_162
| ~ spl0_166 ),
inference(avatar_split_clause,[],[f45375,f7911,f6339,f4388,f2231,f2413]) ).
thf(f45375,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ~ spl0_101
| ~ spl0_140
| spl0_162
| ~ spl0_166 ),
inference(forward_demodulation,[],[f45374,f7913]) ).
thf(f45374,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ~ spl0_101
| ~ spl0_140
| spl0_162 ),
inference(forward_demodulation,[],[f45373,f2233]) ).
thf(f2233,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,$false)) )
| ~ spl0_101 ),
inference(avatar_component_clause,[],[f2231]) ).
thf(f45373,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$false))))) )
| ~ spl0_140
| spl0_162 ),
inference(forward_demodulation,[],[f6340,f4390]) ).
thf(f45370,plain,
( ~ spl0_103
| ~ spl0_101
| ~ spl0_143
| ~ spl0_166
| spl0_167 ),
inference(avatar_split_clause,[],[f45369,f8068,f7911,f4459,f2231,f2413]) ).
thf(f45369,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ~ spl0_101
| ~ spl0_143
| ~ spl0_166
| spl0_167 ),
inference(forward_demodulation,[],[f45368,f7913]) ).
thf(f45368,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ~ spl0_101
| ~ spl0_143
| spl0_167 ),
inference(forward_demodulation,[],[f45367,f2233]) ).
thf(f45367,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$false))))) )
| ~ spl0_143
| spl0_167 ),
inference(forward_demodulation,[],[f8069,f4461]) ).
thf(f45291,plain,
( spl0_103
| ~ spl0_7
| ~ spl0_17
| ~ spl0_29
| ~ spl0_89
| ~ spl0_140
| ~ spl0_166
| ~ spl0_173 ),
inference(avatar_split_clause,[],[f45290,f19783,f7911,f4388,f1410,f177,f123,f78,f2413]) ).
thf(f45290,plain,
( ( $false = vAPP($o,$o,f1,$false) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_29
| ~ spl0_89
| ~ spl0_140
| ~ spl0_166
| ~ spl0_173 ),
inference(forward_demodulation,[],[f45289,f7913]) ).
thf(f45289,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_29
| ~ spl0_89
| ~ spl0_140
| ~ spl0_173 ),
inference(forward_demodulation,[],[f45288,f19785]) ).
thf(f45288,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$false)))) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_29
| ~ spl0_89
| ~ spl0_140 ),
inference(forward_demodulation,[],[f44359,f4390]) ).
thf(f44359,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$false)))))) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_29
| ~ spl0_89 ),
inference(forward_demodulation,[],[f44358,f43742]) ).
thf(f44358,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))))))) )
| ~ spl0_7
| ~ spl0_29
| ~ spl0_89 ),
inference(forward_demodulation,[],[f44357,f1412]) ).
thf(f44357,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$false))))))))) )
| ~ spl0_7
| ~ spl0_29
| ~ spl0_89 ),
inference(forward_demodulation,[],[f44356,f1412]) ).
thf(f44356,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false)))))))))) )
| ~ spl0_7
| ~ spl0_29
| ~ spl0_89 ),
inference(forward_demodulation,[],[f44355,f1412]) ).
thf(f44355,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$false))))))))))) )
| ~ spl0_7
| ~ spl0_29 ),
inference(forward_demodulation,[],[f179,f80]) ).
thf(f45170,plain,
( ~ spl0_7
| ~ spl0_56
| ~ spl0_75
| spl0_85
| ~ spl0_94
| ~ spl0_103
| ~ spl0_173 ),
inference(avatar_contradiction_clause,[],[f45169]) ).
thf(f45169,plain,
( $false
| ~ spl0_7
| ~ spl0_56
| ~ spl0_75
| spl0_85
| ~ spl0_94
| ~ spl0_103
| ~ spl0_173 ),
inference(subsumption_resolution,[],[f45168,f486]) ).
thf(f45168,plain,
( ( $false != vAPP($o,$o,f0,$true) )
| ~ spl0_7
| ~ spl0_75
| spl0_85
| ~ spl0_94
| ~ spl0_103
| ~ spl0_173 ),
inference(forward_demodulation,[],[f45167,f1676]) ).
thf(f45167,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,$false)) )
| ~ spl0_7
| ~ spl0_75
| spl0_85
| ~ spl0_103
| ~ spl0_173 ),
inference(forward_demodulation,[],[f45166,f2415]) ).
thf(f45166,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$false))) )
| ~ spl0_7
| ~ spl0_75
| spl0_85
| ~ spl0_173 ),
inference(forward_demodulation,[],[f45165,f19785]) ).
thf(f45165,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$false)))) )
| ~ spl0_7
| ~ spl0_75
| spl0_85
| ~ spl0_173 ),
inference(forward_demodulation,[],[f44649,f19785]) ).
thf(f44649,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$false))))) )
| ~ spl0_7
| ~ spl0_75
| spl0_85 ),
inference(forward_demodulation,[],[f44264,f44304]) ).
thf(f44304,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$false)))))))) )
| ~ spl0_7
| ~ spl0_75 ),
inference(forward_demodulation,[],[f931,f80]) ).
thf(f44264,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$false))))))))))))) )
| ~ spl0_7
| spl0_85 ),
inference(forward_demodulation,[],[f997,f80]) ).
thf(f45124,plain,
( ~ spl0_7
| ~ spl0_17
| ~ spl0_56
| spl0_68
| ~ spl0_89
| ~ spl0_94
| ~ spl0_103
| ~ spl0_172
| ~ spl0_173 ),
inference(avatar_contradiction_clause,[],[f45123]) ).
thf(f45123,plain,
( $false
| ~ spl0_7
| ~ spl0_17
| ~ spl0_56
| spl0_68
| ~ spl0_89
| ~ spl0_94
| ~ spl0_103
| ~ spl0_172
| ~ spl0_173 ),
inference(subsumption_resolution,[],[f45122,f1676]) ).
thf(f45122,plain,
( ( $true != vAPP($o,$o,f0,$false) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_56
| spl0_68
| ~ spl0_89
| ~ spl0_94
| ~ spl0_103
| ~ spl0_172
| ~ spl0_173 ),
inference(forward_demodulation,[],[f45121,f486]) ).
thf(f45121,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ~ spl0_7
| ~ spl0_17
| spl0_68
| ~ spl0_89
| ~ spl0_94
| ~ spl0_103
| ~ spl0_172
| ~ spl0_173 ),
inference(forward_demodulation,[],[f45120,f1676]) ).
thf(f45120,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$false))) )
| ~ spl0_7
| ~ spl0_17
| spl0_68
| ~ spl0_89
| ~ spl0_103
| ~ spl0_172
| ~ spl0_173 ),
inference(forward_demodulation,[],[f45119,f2415]) ).
thf(f45119,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$false)))) )
| ~ spl0_7
| ~ spl0_17
| spl0_68
| ~ spl0_89
| ~ spl0_172
| ~ spl0_173 ),
inference(forward_demodulation,[],[f45118,f19785]) ).
thf(f45118,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$false))))) )
| ~ spl0_7
| ~ spl0_17
| spl0_68
| ~ spl0_89
| ~ spl0_172
| ~ spl0_173 ),
inference(forward_demodulation,[],[f45117,f19785]) ).
thf(f45117,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$false)))))) )
| ~ spl0_7
| ~ spl0_17
| spl0_68
| ~ spl0_89
| ~ spl0_172
| ~ spl0_173 ),
inference(forward_demodulation,[],[f44311,f19785]) ).
thf(f44311,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$false))))))) )
| ~ spl0_7
| ~ spl0_17
| spl0_68
| ~ spl0_89
| ~ spl0_172 ),
inference(forward_demodulation,[],[f44310,f43742]) ).
thf(f44310,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))))))) )
| spl0_68
| ~ spl0_172 ),
inference(forward_demodulation,[],[f860,f14059]) ).
thf(f44876,plain,
( spl0_103
| ~ spl0_177
| ~ spl0_198 ),
inference(avatar_split_clause,[],[f44875,f33174,f27612,f2413]) ).
thf(f44875,plain,
( ( $false = vAPP($o,$o,f1,$false) )
| ~ spl0_177
| ~ spl0_198 ),
inference(backward_demodulation,[],[f33176,f27614]) ).
thf(f44874,plain,
( spl0_102
| ~ spl0_138
| ~ spl0_143
| ~ spl0_178 ),
inference(avatar_split_clause,[],[f44873,f27616,f4459,f4312,f2235]) ).
thf(f44873,plain,
( ( $false = vAPP($o,$o,f2,$true) )
| ~ spl0_138
| ~ spl0_143
| ~ spl0_178 ),
inference(forward_demodulation,[],[f44872,f4314]) ).
thf(f44872,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,$false)) )
| ~ spl0_143
| ~ spl0_178 ),
inference(forward_demodulation,[],[f27618,f4461]) ).
thf(f44840,plain,
( spl0_173
| ~ spl0_7
| ~ spl0_17
| ~ spl0_31
| ~ spl0_69
| ~ spl0_75
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f44674,f1410,f929,f875,f327,f123,f78,f19783]) ).
thf(f44674,plain,
( ( $false = vAPP($o,$o,f2,$false) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_31
| ~ spl0_69
| ~ spl0_75
| ~ spl0_89 ),
inference(forward_demodulation,[],[f44673,f43742]) ).
thf(f44673,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))) )
| ~ spl0_7
| ~ spl0_31
| ~ spl0_69
| ~ spl0_75
| ~ spl0_89 ),
inference(forward_demodulation,[],[f44672,f41711]) ).
thf(f44672,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$false))))) )
| ~ spl0_7
| ~ spl0_31
| ~ spl0_75
| ~ spl0_89 ),
inference(forward_demodulation,[],[f44669,f1412]) ).
thf(f44669,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,$false)))))) )
| ~ spl0_7
| ~ spl0_31
| ~ spl0_75 ),
inference(backward_demodulation,[],[f44304,f329]) ).
thf(f44730,plain,
( ~ spl0_7
| ~ spl0_17
| spl0_43
| ~ spl0_56
| ~ spl0_89
| ~ spl0_94
| ~ spl0_143
| ~ spl0_210 ),
inference(avatar_contradiction_clause,[],[f44729]) ).
thf(f44729,plain,
( $false
| ~ spl0_7
| ~ spl0_17
| spl0_43
| ~ spl0_56
| ~ spl0_89
| ~ spl0_94
| ~ spl0_143
| ~ spl0_210 ),
inference(subsumption_resolution,[],[f44728,f486]) ).
thf(f44728,plain,
( ( $false != vAPP($o,$o,f0,$true) )
| ~ spl0_7
| ~ spl0_17
| spl0_43
| ~ spl0_56
| ~ spl0_89
| ~ spl0_94
| ~ spl0_143
| ~ spl0_210 ),
inference(forward_demodulation,[],[f44727,f1676]) ).
thf(f44727,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,$false)) )
| ~ spl0_7
| ~ spl0_17
| spl0_43
| ~ spl0_56
| ~ spl0_89
| ~ spl0_143
| ~ spl0_210 ),
inference(forward_demodulation,[],[f44726,f486]) ).
thf(f44726,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ~ spl0_7
| ~ spl0_17
| spl0_43
| ~ spl0_89
| ~ spl0_143
| ~ spl0_210 ),
inference(forward_demodulation,[],[f44725,f44490]) ).
thf(f44490,plain,
( ( $true = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$false)))) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_89
| ~ spl0_210 ),
inference(forward_demodulation,[],[f43367,f43742]) ).
thf(f44725,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$false))))))) )
| spl0_43
| ~ spl0_143 ),
inference(forward_demodulation,[],[f405,f4461]) ).
thf(f44680,plain,
( spl0_140
| ~ spl0_7
| ~ spl0_17
| ~ spl0_21
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f44634,f1410,f141,f123,f78,f4388]) ).
thf(f44634,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f3,$false)) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_21
| ~ spl0_89 ),
inference(forward_demodulation,[],[f44633,f43742]) ).
thf(f44633,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))) )
| ~ spl0_7
| ~ spl0_21
| ~ spl0_89 ),
inference(forward_demodulation,[],[f44632,f1412]) ).
thf(f44632,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$false))))) )
| ~ spl0_7
| ~ spl0_21
| ~ spl0_89 ),
inference(forward_demodulation,[],[f44631,f1412]) ).
thf(f44631,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false)))))) )
| ~ spl0_7
| ~ spl0_21
| ~ spl0_89 ),
inference(forward_demodulation,[],[f44630,f1412]) ).
thf(f44630,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$false))))))) )
| ~ spl0_7
| ~ spl0_21 ),
inference(forward_demodulation,[],[f143,f80]) ).
thf(f44597,plain,
( ~ spl0_138
| ~ spl0_157 ),
inference(avatar_contradiction_clause,[],[f44596]) ).
thf(f44596,plain,
( $false
| ~ spl0_138
| ~ spl0_157 ),
inference(trivial_inequality_removal,[],[f44595]) ).
thf(f44595,plain,
( ( $true = $false )
| ~ spl0_138
| ~ spl0_157 ),
inference(backward_demodulation,[],[f4314,f6228]) ).
thf(f44588,plain,
( spl0_143
| ~ spl0_164
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f44587,f31775,f7255,f4459]) ).
thf(f44587,plain,
( ( $false = vAPP($o,$o,f3,$true) )
| ~ spl0_164
| ~ spl0_180 ),
inference(forward_demodulation,[],[f7256,f31777]) ).
thf(f44553,plain,
( spl0_143
| ~ spl0_7
| ~ spl0_17
| ~ spl0_31
| ~ spl0_69
| spl0_71
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f44552,f1410,f894,f875,f327,f123,f78,f4459]) ).
thf(f44552,plain,
( ( $false = vAPP($o,$o,f3,$true) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_31
| ~ spl0_69
| spl0_71
| ~ spl0_89 ),
inference(subsumption_resolution,[],[f44529,f41584]) ).
thf(f44529,plain,
( ( $false = vAPP($o,$o,f3,$true) )
| ( $false = vAPP($o,$o,f4,$false) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_89 ),
inference(superposition,[],[f43742,f4]) ).
thf(f44466,plain,
( spl0_182
| ~ spl0_184 ),
inference(avatar_contradiction_clause,[],[f44465]) ).
thf(f44465,plain,
( $false
| spl0_182
| ~ spl0_184 ),
inference(subsumption_resolution,[],[f44458,f31813]) ).
thf(f44458,plain,
( ( $true != vAPP($o,$o,f2,$true) )
| spl0_182
| ~ spl0_184 ),
inference(backward_demodulation,[],[f31784,f31813]) ).
thf(f44450,plain,
( ~ spl0_7
| ~ spl0_17
| ~ spl0_89
| ~ spl0_99
| ~ spl0_173
| spl0_210 ),
inference(avatar_contradiction_clause,[],[f44449]) ).
thf(f44449,plain,
( $false
| ~ spl0_7
| ~ spl0_17
| ~ spl0_89
| ~ spl0_99
| ~ spl0_173
| spl0_210 ),
inference(subsumption_resolution,[],[f44448,f2165]) ).
thf(f44448,plain,
( ( $true != vAPP($o,$o,f1,$false) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_89
| ~ spl0_173
| spl0_210 ),
inference(forward_demodulation,[],[f44447,f19785]) ).
thf(f44447,plain,
( ( $true != vAPP($o,$o,f1,vAPP($o,$o,f2,$false)) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_89
| ~ spl0_173
| spl0_210 ),
inference(forward_demodulation,[],[f44446,f19785]) ).
thf(f44446,plain,
( ( $true != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$false))) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_89
| ~ spl0_173
| spl0_210 ),
inference(forward_demodulation,[],[f44445,f19785]) ).
thf(f44445,plain,
( ( $true != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$false)))) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_89
| spl0_210 ),
inference(forward_demodulation,[],[f43366,f43742]) ).
thf(f44444,plain,
( ~ spl0_7
| ~ spl0_17
| ~ spl0_31
| ~ spl0_56
| ~ spl0_65
| ~ spl0_69
| spl0_86
| ~ spl0_89
| ~ spl0_99
| ~ spl0_173 ),
inference(avatar_contradiction_clause,[],[f44443]) ).
thf(f44443,plain,
( $false
| ~ spl0_7
| ~ spl0_17
| ~ spl0_31
| ~ spl0_56
| ~ spl0_65
| ~ spl0_69
| spl0_86
| ~ spl0_89
| ~ spl0_99
| ~ spl0_173 ),
inference(subsumption_resolution,[],[f44442,f486]) ).
thf(f44442,plain,
( ( $false != vAPP($o,$o,f0,$true) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_31
| ~ spl0_65
| ~ spl0_69
| spl0_86
| ~ spl0_89
| ~ spl0_99
| ~ spl0_173 ),
inference(forward_demodulation,[],[f44441,f2165]) ).
thf(f44441,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_31
| ~ spl0_65
| ~ spl0_69
| spl0_86
| ~ spl0_89
| ~ spl0_173 ),
inference(forward_demodulation,[],[f44440,f19785]) ).
thf(f44440,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$false))) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_31
| ~ spl0_65
| ~ spl0_69
| spl0_86
| ~ spl0_89
| ~ spl0_173 ),
inference(forward_demodulation,[],[f44439,f19785]) ).
thf(f44439,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$false)))) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_31
| ~ spl0_65
| ~ spl0_69
| spl0_86
| ~ spl0_89
| ~ spl0_173 ),
inference(forward_demodulation,[],[f44438,f19785]) ).
thf(f44438,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$false))))) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_31
| ~ spl0_65
| ~ spl0_69
| spl0_86
| ~ spl0_89 ),
inference(forward_demodulation,[],[f42308,f43742]) ).
thf(f42308,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))))) )
| ~ spl0_7
| ~ spl0_31
| ~ spl0_65
| ~ spl0_69
| spl0_86
| ~ spl0_89 ),
inference(forward_demodulation,[],[f41944,f41711]) ).
thf(f41944,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$false))))))))) )
| ~ spl0_7
| ~ spl0_65
| spl0_86 ),
inference(forward_demodulation,[],[f40331,f41753]) ).
thf(f41753,plain,
( ( $false = vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$false))) )
| ~ spl0_7
| ~ spl0_65 ),
inference(forward_demodulation,[],[f836,f80]) ).
thf(f40331,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$false)))))))))))) )
| ~ spl0_7
| spl0_86 ),
inference(forward_demodulation,[],[f1002,f80]) ).
thf(f44209,plain,
( ~ spl0_7
| ~ spl0_17
| ~ spl0_31
| ~ spl0_69
| spl0_79
| ~ spl0_89
| ~ spl0_173 ),
inference(avatar_contradiction_clause,[],[f44208]) ).
thf(f44208,plain,
( $false
| ~ spl0_7
| ~ spl0_17
| ~ spl0_31
| ~ spl0_69
| spl0_79
| ~ spl0_89
| ~ spl0_173 ),
inference(subsumption_resolution,[],[f44207,f19785]) ).
thf(f44207,plain,
( ( $false != vAPP($o,$o,f2,$false) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_31
| ~ spl0_69
| spl0_79
| ~ spl0_89
| ~ spl0_173 ),
inference(forward_demodulation,[],[f44200,f19785]) ).
thf(f44200,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f2,$false)) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_31
| ~ spl0_69
| spl0_79
| ~ spl0_89
| ~ spl0_173 ),
inference(backward_demodulation,[],[f43997,f19785]) ).
thf(f43997,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$false))) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_31
| ~ spl0_69
| spl0_79
| ~ spl0_89 ),
inference(forward_demodulation,[],[f43440,f43742]) ).
thf(f43440,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))) )
| ~ spl0_7
| ~ spl0_31
| ~ spl0_69
| spl0_79
| ~ spl0_89 ),
inference(forward_demodulation,[],[f43439,f41711]) ).
thf(f43439,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$false))))))) )
| ~ spl0_7
| ~ spl0_31
| spl0_79
| ~ spl0_89 ),
inference(forward_demodulation,[],[f43418,f1412]) ).
thf(f43418,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,$false)))))))) )
| ~ spl0_7
| ~ spl0_31
| spl0_79 ),
inference(backward_demodulation,[],[f43192,f329]) ).
thf(f43192,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$false)))))))))) )
| ~ spl0_7
| spl0_79 ),
inference(forward_demodulation,[],[f961,f80]) ).
thf(f44202,plain,
( spl0_139
| ~ spl0_173 ),
inference(avatar_contradiction_clause,[],[f44201]) ).
thf(f44201,plain,
( $false
| spl0_139
| ~ spl0_173 ),
inference(subsumption_resolution,[],[f44196,f19785]) ).
thf(f44196,plain,
( ( $false != vAPP($o,$o,f2,$false) )
| spl0_139
| ~ spl0_173 ),
inference(backward_demodulation,[],[f4318,f19785]) ).
thf(f44070,plain,
( ~ spl0_7
| ~ spl0_31
| ~ spl0_69
| spl0_71
| ~ spl0_89
| ~ spl0_134 ),
inference(avatar_contradiction_clause,[],[f44069]) ).
thf(f44069,plain,
( $false
| ~ spl0_7
| ~ spl0_31
| ~ spl0_69
| spl0_71
| ~ spl0_89
| ~ spl0_134 ),
inference(subsumption_resolution,[],[f44068,f41584]) ).
thf(f44068,plain,
( ( $false = vAPP($o,$o,f4,$false) )
| ~ spl0_89
| ~ spl0_134 ),
inference(forward_demodulation,[],[f44067,f1412]) ).
thf(f44067,plain,
( ( $false = vAPP($o,$o,f4,vAPP($o,$o,f5,$false)) )
| ~ spl0_89
| ~ spl0_134 ),
inference(forward_demodulation,[],[f3281,f1412]) ).
thf(f44021,plain,
( spl0_201
| ~ spl0_7
| ~ spl0_17
| ~ spl0_89
| ~ spl0_96
| ~ spl0_138 ),
inference(avatar_split_clause,[],[f44020,f4312,f1752,f1410,f123,f78,f33309]) ).
thf(f44020,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$true)))) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_89
| ~ spl0_96
| ~ spl0_138 ),
inference(forward_demodulation,[],[f44019,f4314]) ).
thf(f44019,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$false))))) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_89
| ~ spl0_96 ),
inference(forward_demodulation,[],[f43637,f43742]) ).
thf(f43637,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))))) )
| ~ spl0_89
| ~ spl0_96 ),
inference(forward_demodulation,[],[f43636,f1412]) ).
thf(f43636,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$false)))))))) )
| ~ spl0_89
| ~ spl0_96 ),
inference(forward_demodulation,[],[f43635,f1412]) ).
thf(f43635,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false))))))))) )
| ~ spl0_89
| ~ spl0_96 ),
inference(forward_demodulation,[],[f1754,f1412]) ).
thf(f43984,plain,
( ~ spl0_143
| ~ spl0_7
| ~ spl0_17
| spl0_21
| ~ spl0_89
| ~ spl0_138 ),
inference(avatar_split_clause,[],[f43983,f4312,f1410,f141,f123,f78,f4459]) ).
thf(f43983,plain,
( ( $false != vAPP($o,$o,f3,$true) )
| ~ spl0_7
| ~ spl0_17
| spl0_21
| ~ spl0_89
| ~ spl0_138 ),
inference(forward_demodulation,[],[f43982,f4314]) ).
thf(f43982,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f3,$false)) )
| ~ spl0_7
| ~ spl0_17
| spl0_21
| ~ spl0_89 ),
inference(forward_demodulation,[],[f43736,f43742]) ).
thf(f43736,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))) )
| ~ spl0_7
| spl0_21
| ~ spl0_89 ),
inference(forward_demodulation,[],[f43735,f1412]) ).
thf(f43735,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$false))))) )
| ~ spl0_7
| spl0_21
| ~ spl0_89 ),
inference(forward_demodulation,[],[f43734,f1412]) ).
thf(f43734,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false)))))) )
| ~ spl0_7
| spl0_21
| ~ spl0_89 ),
inference(forward_demodulation,[],[f43733,f1412]) ).
thf(f43733,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$false))))))) )
| ~ spl0_7
| spl0_21 ),
inference(forward_demodulation,[],[f142,f80]) ).
thf(f43904,plain,
( spl0_93
| ~ spl0_99
| ~ spl0_104
| ~ spl0_133
| ~ spl0_138
| ~ spl0_143
| ~ spl0_174 ),
inference(avatar_contradiction_clause,[],[f43903]) ).
thf(f43903,plain,
( $false
| spl0_93
| ~ spl0_99
| ~ spl0_104
| ~ spl0_133
| ~ spl0_138
| ~ spl0_143
| ~ spl0_174 ),
inference(subsumption_resolution,[],[f43902,f1669]) ).
thf(f43902,plain,
( ( $false = vAPP($o,$o,f0,$false) )
| ~ spl0_99
| ~ spl0_104
| ~ spl0_133
| ~ spl0_138
| ~ spl0_143
| ~ spl0_174 ),
inference(forward_demodulation,[],[f43901,f2419]) ).
thf(f43901,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ~ spl0_99
| ~ spl0_133
| ~ spl0_138
| ~ spl0_143
| ~ spl0_174 ),
inference(forward_demodulation,[],[f43900,f2165]) ).
thf(f43900,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ~ spl0_133
| ~ spl0_138
| ~ spl0_143
| ~ spl0_174 ),
inference(forward_demodulation,[],[f43899,f22940]) ).
thf(f43899,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$false))))) )
| ~ spl0_133
| ~ spl0_138
| ~ spl0_143 ),
inference(forward_demodulation,[],[f43898,f4461]) ).
thf(f43898,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$true)))))) )
| ~ spl0_133
| ~ spl0_138
| ~ spl0_143 ),
inference(forward_demodulation,[],[f43885,f4314]) ).
thf(f43885,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$false))))))) )
| ~ spl0_133
| ~ spl0_143 ),
inference(backward_demodulation,[],[f3277,f4461]) ).
thf(f43859,plain,
( ~ spl0_16
| ~ spl0_133 ),
inference(avatar_contradiction_clause,[],[f43858]) ).
thf(f43858,plain,
( $false
| ~ spl0_16
| ~ spl0_133 ),
inference(trivial_inequality_removal,[],[f43857]) ).
thf(f43857,plain,
( ( $true = $false )
| ~ spl0_16
| ~ spl0_133 ),
inference(forward_demodulation,[],[f120,f3277]) ).
thf(f43617,plain,
( spl0_95
| ~ spl0_99
| ~ spl0_133
| ~ spl0_179
| ~ spl0_180 ),
inference(avatar_contradiction_clause,[],[f43616]) ).
thf(f43616,plain,
( $false
| spl0_95
| ~ spl0_99
| ~ spl0_133
| ~ spl0_179
| ~ spl0_180 ),
inference(subsumption_resolution,[],[f43615,f1749]) ).
thf(f43615,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ~ spl0_99
| ~ spl0_133
| ~ spl0_179
| ~ spl0_180 ),
inference(forward_demodulation,[],[f43614,f2165]) ).
thf(f43614,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ~ spl0_133
| ~ spl0_179
| ~ spl0_180 ),
inference(forward_demodulation,[],[f43613,f30576]) ).
thf(f43613,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))))) )
| ~ spl0_133
| ~ spl0_180 ),
inference(forward_demodulation,[],[f43612,f31777]) ).
thf(f43612,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$true)))))) )
| ~ spl0_133
| ~ spl0_180 ),
inference(forward_demodulation,[],[f43611,f31777]) ).
thf(f43611,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$true))))))) )
| ~ spl0_133
| ~ spl0_180 ),
inference(forward_demodulation,[],[f3277,f31777]) ).
thf(f43573,plain,
( spl0_104
| ~ spl0_99
| ~ spl0_166 ),
inference(avatar_split_clause,[],[f43572,f7911,f2163,f2417]) ).
thf(f43572,plain,
( ( $false = vAPP($o,$o,f1,$true) )
| ~ spl0_99
| ~ spl0_166 ),
inference(forward_demodulation,[],[f7913,f2165]) ).
thf(f43539,plain,
( ~ spl0_56
| spl0_45
| ~ spl0_203 ),
inference(avatar_split_clause,[],[f42642,f36845,f419,f484]) ).
thf(f36845,plain,
( spl0_203
<=> ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_203])]) ).
thf(f42642,plain,
( ( $false != vAPP($o,$o,f0,$true) )
| spl0_45
| ~ spl0_203 ),
inference(forward_demodulation,[],[f420,f36847]) ).
thf(f36847,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true)))))) )
| ~ spl0_203 ),
inference(avatar_component_clause,[],[f36845]) ).
thf(f43456,plain,
( spl0_45
| ~ spl0_3
| ~ spl0_7
| spl0_17
| ~ spl0_31
| ~ spl0_65
| ~ spl0_69
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f43289,f1410,f875,f834,f327,f123,f78,f19,f419]) ).
thf(f43289,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))))))) )
| ~ spl0_3
| ~ spl0_7
| spl0_17
| ~ spl0_31
| ~ spl0_65
| ~ spl0_69
| ~ spl0_89 ),
inference(subsumption_resolution,[],[f43261,f43023]) ).
thf(f43023,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,$false)) )
| ~ spl0_7
| spl0_17
| ~ spl0_89 ),
inference(forward_demodulation,[],[f43022,f1412]) ).
thf(f43022,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$false))) )
| ~ spl0_7
| spl0_17
| ~ spl0_89 ),
inference(forward_demodulation,[],[f43021,f1412]) ).
thf(f43021,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false)))) )
| ~ spl0_7
| spl0_17
| ~ spl0_89 ),
inference(forward_demodulation,[],[f43020,f1412]) ).
thf(f43020,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$false))))) )
| ~ spl0_7
| spl0_17 ),
inference(forward_demodulation,[],[f124,f80]) ).
thf(f43261,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))))))) )
| ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,$false)) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_31
| ~ spl0_65
| ~ spl0_69
| ~ spl0_89 ),
inference(superposition,[],[f42325,f4]) ).
thf(f42325,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))))))) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_31
| ~ spl0_65
| ~ spl0_69
| ~ spl0_89 ),
inference(forward_demodulation,[],[f41914,f41711]) ).
thf(f41914,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$false))))))))))) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_65 ),
inference(backward_demodulation,[],[f41854,f41753]) ).
thf(f41854,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$false)))))))))))))) )
| ~ spl0_3
| ~ spl0_7 ),
inference(forward_demodulation,[],[f21,f80]) ).
thf(f43455,plain,
( spl0_47
| ~ spl0_3
| ~ spl0_7
| ~ spl0_31
| ~ spl0_65
| ~ spl0_69
| spl0_75
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f43295,f1410,f929,f875,f834,f327,f78,f19,f433]) ).
thf(f43295,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true)))))) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_31
| ~ spl0_65
| ~ spl0_69
| spl0_75
| ~ spl0_89 ),
inference(subsumption_resolution,[],[f43262,f42290]) ).
thf(f42290,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))) )
| ~ spl0_7
| ~ spl0_31
| ~ spl0_65
| ~ spl0_69
| spl0_75
| ~ spl0_89 ),
inference(forward_demodulation,[],[f41916,f41711]) ).
thf(f41916,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$false))))) )
| ~ spl0_7
| ~ spl0_65
| spl0_75 ),
inference(forward_demodulation,[],[f41739,f41753]) ).
thf(f41739,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$false)))))))) )
| ~ spl0_7
| spl0_75 ),
inference(forward_demodulation,[],[f930,f80]) ).
thf(f43262,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true)))))) )
| ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_31
| ~ spl0_65
| ~ spl0_69
| ~ spl0_89 ),
inference(superposition,[],[f42325,f4]) ).
thf(f43404,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_30
| ~ spl0_31
| spl0_56
| ~ spl0_65
| ~ spl0_69
| ~ spl0_89
| ~ spl0_150
| spl0_173
| ~ spl0_190 ),
inference(avatar_contradiction_clause,[],[f43403]) ).
thf(f43403,plain,
( $false
| ~ spl0_3
| ~ spl0_7
| ~ spl0_30
| ~ spl0_31
| spl0_56
| ~ spl0_65
| ~ spl0_69
| ~ spl0_89
| ~ spl0_150
| spl0_173
| ~ spl0_190 ),
inference(subsumption_resolution,[],[f43402,f19784]) ).
thf(f43402,plain,
( ( $false = vAPP($o,$o,f2,$false) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_30
| ~ spl0_31
| spl0_56
| ~ spl0_65
| ~ spl0_69
| ~ spl0_89
| ~ spl0_150
| ~ spl0_190 ),
inference(backward_demodulation,[],[f43394,f43401]) ).
thf(f43401,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_30
| ~ spl0_31
| spl0_56
| ~ spl0_65
| ~ spl0_69
| ~ spl0_89
| ~ spl0_190 ),
inference(subsumption_resolution,[],[f43400,f485]) ).
thf(f43400,plain,
( ( $false = vAPP($o,$o,f0,$true) )
| ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_30
| ~ spl0_31
| ~ spl0_65
| ~ spl0_69
| ~ spl0_89
| ~ spl0_190 ),
inference(forward_demodulation,[],[f43399,f183]) ).
thf(f43399,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_31
| ~ spl0_65
| ~ spl0_69
| ~ spl0_89
| ~ spl0_190 ),
inference(forward_demodulation,[],[f43263,f33064]) ).
thf(f33064,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))) )
| ~ spl0_190 ),
inference(avatar_component_clause,[],[f33062]) ).
thf(f33062,plain,
( spl0_190
<=> ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_190])]) ).
thf(f43263,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))))) )
| ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_31
| ~ spl0_65
| ~ spl0_69
| ~ spl0_89 ),
inference(superposition,[],[f42325,f4]) ).
thf(f43394,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_30
| ~ spl0_31
| spl0_56
| ~ spl0_65
| ~ spl0_69
| ~ spl0_89
| ~ spl0_150 ),
inference(subsumption_resolution,[],[f43393,f485]) ).
thf(f43393,plain,
( ( $false = vAPP($o,$o,f0,$true) )
| ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_30
| ~ spl0_31
| ~ spl0_65
| ~ spl0_69
| ~ spl0_89
| ~ spl0_150 ),
inference(forward_demodulation,[],[f43392,f183]) ).
thf(f43392,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_30
| ~ spl0_31
| ~ spl0_65
| ~ spl0_69
| ~ spl0_89
| ~ spl0_150 ),
inference(forward_demodulation,[],[f43391,f183]) ).
thf(f43391,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_31
| ~ spl0_65
| ~ spl0_69
| ~ spl0_89
| ~ spl0_150 ),
inference(forward_demodulation,[],[f43264,f5115]) ).
thf(f43264,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_31
| ~ spl0_65
| ~ spl0_69
| ~ spl0_89 ),
inference(superposition,[],[f42325,f4]) ).
thf(f43398,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_30
| ~ spl0_31
| spl0_56
| ~ spl0_65
| ~ spl0_69
| ~ spl0_89
| ~ spl0_99
| ~ spl0_150 ),
inference(avatar_contradiction_clause,[],[f43397]) ).
thf(f43397,plain,
( $false
| ~ spl0_3
| ~ spl0_7
| ~ spl0_30
| ~ spl0_31
| spl0_56
| ~ spl0_65
| ~ spl0_69
| ~ spl0_89
| ~ spl0_99
| ~ spl0_150 ),
inference(subsumption_resolution,[],[f43396,f485]) ).
thf(f43396,plain,
( ( $false = vAPP($o,$o,f0,$true) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_30
| ~ spl0_31
| spl0_56
| ~ spl0_65
| ~ spl0_69
| ~ spl0_89
| ~ spl0_99
| ~ spl0_150 ),
inference(forward_demodulation,[],[f43395,f2165]) ).
thf(f43395,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_30
| ~ spl0_31
| spl0_56
| ~ spl0_65
| ~ spl0_69
| ~ spl0_89
| ~ spl0_150 ),
inference(backward_demodulation,[],[f43373,f43394]) ).
thf(f43373,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))))) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_30
| ~ spl0_31
| spl0_56
| ~ spl0_65
| ~ spl0_69
| ~ spl0_89 ),
inference(subsumption_resolution,[],[f43372,f485]) ).
thf(f43372,plain,
( ( $false = vAPP($o,$o,f0,$true) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))))) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_30
| ~ spl0_31
| ~ spl0_65
| ~ spl0_69
| ~ spl0_89 ),
inference(forward_demodulation,[],[f43268,f183]) ).
thf(f43268,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))))) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_31
| ~ spl0_65
| ~ spl0_69
| ~ spl0_89 ),
inference(superposition,[],[f42325,f4]) ).
thf(f43388,plain,
( ~ spl0_94
| ~ spl0_3
| ~ spl0_7
| ~ spl0_30
| ~ spl0_31
| spl0_56
| ~ spl0_65
| ~ spl0_69
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f43387,f1410,f875,f834,f484,f327,f181,f78,f19,f1674]) ).
thf(f43387,plain,
( ( $true != vAPP($o,$o,f0,$false) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_30
| ~ spl0_31
| spl0_56
| ~ spl0_65
| ~ spl0_69
| ~ spl0_89 ),
inference(forward_demodulation,[],[f43277,f43373]) ).
thf(f43277,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))))))) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_30
| ~ spl0_31
| ~ spl0_65
| ~ spl0_69
| ~ spl0_89 ),
inference(trivial_inequality_removal,[],[f43272]) ).
thf(f43272,plain,
( ( $true = $false )
| ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))))))) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_30
| ~ spl0_31
| ~ spl0_65
| ~ spl0_69
| ~ spl0_89 ),
inference(constrained_superposition,[],[f42325,f183]) ).
thf(f43371,plain,
( ~ spl0_210
| ~ spl0_3
| ~ spl0_7
| ~ spl0_30
| ~ spl0_31
| spl0_56
| ~ spl0_65
| ~ spl0_69
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f43370,f1410,f875,f834,f484,f327,f181,f78,f19,f43365]) ).
thf(f43370,plain,
( ( $true != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))))) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_30
| ~ spl0_31
| spl0_56
| ~ spl0_65
| ~ spl0_69
| ~ spl0_89 ),
inference(subsumption_resolution,[],[f43369,f485]) ).
thf(f43369,plain,
( ( $false = vAPP($o,$o,f0,$true) )
| ( $true != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))))) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_30
| ~ spl0_31
| ~ spl0_65
| ~ spl0_69
| ~ spl0_89 ),
inference(forward_demodulation,[],[f43266,f183]) ).
thf(f43266,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( $true != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))))) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_30
| ~ spl0_31
| ~ spl0_65
| ~ spl0_69
| ~ spl0_89 ),
inference(constrained_superposition,[],[f42325,f183]) ).
thf(f43359,plain,
( spl0_207
| ~ spl0_3
| ~ spl0_7
| ~ spl0_30
| ~ spl0_31
| spl0_56
| ~ spl0_65
| ~ spl0_69
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f43358,f1410,f875,f834,f484,f327,f181,f78,f19,f43348]) ).
thf(f43358,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))))) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_30
| ~ spl0_31
| spl0_56
| ~ spl0_65
| ~ spl0_69
| ~ spl0_89 ),
inference(subsumption_resolution,[],[f43357,f485]) ).
thf(f43357,plain,
( ( $false = vAPP($o,$o,f0,$true) )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))))) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_30
| ~ spl0_31
| ~ spl0_65
| ~ spl0_69
| ~ spl0_89 ),
inference(forward_demodulation,[],[f43356,f183]) ).
thf(f43356,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))))) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_30
| ~ spl0_31
| ~ spl0_65
| ~ spl0_69
| ~ spl0_89 ),
inference(forward_demodulation,[],[f43265,f183]) ).
thf(f43265,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))))) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_31
| ~ spl0_65
| ~ spl0_69
| ~ spl0_89 ),
inference(superposition,[],[f42325,f4]) ).
thf(f43301,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_30
| ~ spl0_31
| spl0_56
| ~ spl0_65
| ~ spl0_69
| spl0_75
| ~ spl0_89
| ~ spl0_150
| ~ spl0_182 ),
inference(avatar_contradiction_clause,[],[f43300]) ).
thf(f43300,plain,
( $false
| ~ spl0_3
| ~ spl0_7
| ~ spl0_30
| ~ spl0_31
| spl0_56
| ~ spl0_65
| ~ spl0_69
| spl0_75
| ~ spl0_89
| ~ spl0_150
| ~ spl0_182 ),
inference(subsumption_resolution,[],[f43299,f485]) ).
thf(f43299,plain,
( ( $false = vAPP($o,$o,f0,$true) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_30
| ~ spl0_31
| ~ spl0_65
| ~ spl0_69
| spl0_75
| ~ spl0_89
| ~ spl0_150
| ~ spl0_182 ),
inference(forward_demodulation,[],[f43298,f183]) ).
thf(f43298,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_30
| ~ spl0_31
| ~ spl0_65
| ~ spl0_69
| spl0_75
| ~ spl0_89
| ~ spl0_150
| ~ spl0_182 ),
inference(forward_demodulation,[],[f43297,f183]) ).
thf(f43297,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_31
| ~ spl0_65
| ~ spl0_69
| spl0_75
| ~ spl0_89
| ~ spl0_150
| ~ spl0_182 ),
inference(forward_demodulation,[],[f43296,f5115]) ).
thf(f43296,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_31
| ~ spl0_65
| ~ spl0_69
| spl0_75
| ~ spl0_89
| ~ spl0_182 ),
inference(forward_demodulation,[],[f43295,f31785]) ).
thf(f43294,plain,
( ~ spl0_3
| ~ spl0_7
| spl0_17
| ~ spl0_30
| ~ spl0_31
| spl0_56
| ~ spl0_65
| ~ spl0_69
| ~ spl0_89
| ~ spl0_182
| ~ spl0_190 ),
inference(avatar_contradiction_clause,[],[f43293]) ).
thf(f43293,plain,
( $false
| ~ spl0_3
| ~ spl0_7
| spl0_17
| ~ spl0_30
| ~ spl0_31
| spl0_56
| ~ spl0_65
| ~ spl0_69
| ~ spl0_89
| ~ spl0_182
| ~ spl0_190 ),
inference(subsumption_resolution,[],[f43292,f485]) ).
thf(f43292,plain,
( ( $false = vAPP($o,$o,f0,$true) )
| ~ spl0_3
| ~ spl0_7
| spl0_17
| ~ spl0_30
| ~ spl0_31
| ~ spl0_65
| ~ spl0_69
| ~ spl0_89
| ~ spl0_182
| ~ spl0_190 ),
inference(forward_demodulation,[],[f43291,f183]) ).
thf(f43291,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ~ spl0_3
| ~ spl0_7
| spl0_17
| ~ spl0_31
| ~ spl0_65
| ~ spl0_69
| ~ spl0_89
| ~ spl0_182
| ~ spl0_190 ),
inference(forward_demodulation,[],[f43290,f33064]) ).
thf(f43290,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))))) )
| ~ spl0_3
| ~ spl0_7
| spl0_17
| ~ spl0_31
| ~ spl0_65
| ~ spl0_69
| ~ spl0_89
| ~ spl0_182 ),
inference(forward_demodulation,[],[f43289,f31785]) ).
thf(f43219,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_31
| ~ spl0_65
| ~ spl0_68
| ~ spl0_69
| ~ spl0_89
| ~ spl0_172 ),
inference(avatar_contradiction_clause,[],[f43218]) ).
thf(f43218,plain,
( $false
| ~ spl0_3
| ~ spl0_7
| ~ spl0_31
| ~ spl0_65
| ~ spl0_68
| ~ spl0_69
| ~ spl0_89
| ~ spl0_172 ),
inference(trivial_inequality_removal,[],[f43217]) ).
thf(f43217,plain,
( ( $true = $false )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_31
| ~ spl0_65
| ~ spl0_68
| ~ spl0_69
| ~ spl0_89
| ~ spl0_172 ),
inference(forward_demodulation,[],[f42468,f42325]) ).
thf(f42468,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))))))) )
| ~ spl0_68
| ~ spl0_172 ),
inference(forward_demodulation,[],[f861,f14059]) ).
thf(f43025,plain,
( ~ spl0_7
| spl0_17
| ~ spl0_31
| ~ spl0_69
| ~ spl0_73
| ~ spl0_89 ),
inference(avatar_contradiction_clause,[],[f43024]) ).
thf(f43024,plain,
( $false
| ~ spl0_7
| spl0_17
| ~ spl0_31
| ~ spl0_69
| ~ spl0_73
| ~ spl0_89 ),
inference(subsumption_resolution,[],[f43023,f42747]) ).
thf(f42747,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,$false)) )
| ~ spl0_7
| ~ spl0_31
| ~ spl0_69
| ~ spl0_73
| ~ spl0_89 ),
inference(forward_demodulation,[],[f42746,f41711]) ).
thf(f42746,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$false)))) )
| ~ spl0_7
| ~ spl0_31
| ~ spl0_73
| ~ spl0_89 ),
inference(forward_demodulation,[],[f42742,f1412]) ).
thf(f42742,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,$false))))) )
| ~ spl0_7
| ~ spl0_31
| ~ spl0_73 ),
inference(backward_demodulation,[],[f42664,f329]) ).
thf(f42664,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$false))))))) )
| ~ spl0_7
| ~ spl0_73 ),
inference(forward_demodulation,[],[f914,f80]) ).
thf(f43019,plain,
( ~ spl0_18
| spl0_22
| ~ spl0_138
| ~ spl0_143 ),
inference(avatar_contradiction_clause,[],[f43018]) ).
thf(f43018,plain,
( $false
| ~ spl0_18
| spl0_22
| ~ spl0_138
| ~ spl0_143 ),
inference(subsumption_resolution,[],[f43017,f146]) ).
thf(f146,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))))) )
| spl0_22 ),
inference(avatar_component_clause,[],[f145]) ).
thf(f43017,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))))) )
| ~ spl0_18
| ~ spl0_138
| ~ spl0_143 ),
inference(forward_demodulation,[],[f43016,f4314]) ).
thf(f43016,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$false)))))) )
| ~ spl0_18
| ~ spl0_143 ),
inference(forward_demodulation,[],[f129,f4461]) ).
thf(f42756,plain,
( ~ spl0_18
| spl0_14
| ~ spl0_138
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f40515,f14057,f4312,f109,f127]) ).
thf(f40515,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$true))))))) )
| spl0_14
| ~ spl0_138
| ~ spl0_172 ),
inference(forward_demodulation,[],[f40514,f4314]) ).
thf(f40514,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$false)))))))) )
| spl0_14
| ~ spl0_172 ),
inference(forward_demodulation,[],[f110,f14059]) ).
thf(f42633,plain,
( ~ spl0_193
| spl0_167
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f42157,f31775,f8068,f33084]) ).
thf(f42157,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$true)))) )
| spl0_167
| ~ spl0_180 ),
inference(forward_demodulation,[],[f42118,f31777]) ).
thf(f42118,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$true))))) )
| spl0_167
| ~ spl0_180 ),
inference(backward_demodulation,[],[f8069,f31777]) ).
thf(f42625,plain,
( ~ spl0_22
| spl0_18
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f42365,f31775,f127,f145]) ).
thf(f42365,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))))) )
| spl0_18
| ~ spl0_180 ),
inference(forward_demodulation,[],[f42364,f31777]) ).
thf(f42364,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$true)))))) )
| spl0_18
| ~ spl0_180 ),
inference(forward_demodulation,[],[f128,f31777]) ).
thf(f128,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$true))))))) )
| spl0_18 ),
inference(avatar_component_clause,[],[f127]) ).
thf(f42371,plain,
( spl0_18
| ~ spl0_30
| ~ spl0_150
| ~ spl0_180
| ~ spl0_184 ),
inference(avatar_contradiction_clause,[],[f42370]) ).
thf(f42370,plain,
( $false
| spl0_18
| ~ spl0_30
| ~ spl0_150
| ~ spl0_180
| ~ spl0_184 ),
inference(subsumption_resolution,[],[f42369,f183]) ).
thf(f42369,plain,
( ( $true != vAPP($o,$o,f0,$true) )
| spl0_18
| ~ spl0_150
| ~ spl0_180
| ~ spl0_184 ),
inference(forward_demodulation,[],[f42368,f5115]) ).
thf(f42368,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| spl0_18
| ~ spl0_150
| ~ spl0_180
| ~ spl0_184 ),
inference(forward_demodulation,[],[f42367,f5115]) ).
thf(f42367,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) )
| spl0_18
| ~ spl0_150
| ~ spl0_180
| ~ spl0_184 ),
inference(forward_demodulation,[],[f42366,f5115]) ).
thf(f42366,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$true)))) )
| spl0_18
| ~ spl0_180
| ~ spl0_184 ),
inference(forward_demodulation,[],[f42365,f31813]) ).
thf(f42334,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_17
| ~ spl0_30
| ~ spl0_31
| spl0_56
| ~ spl0_65
| ~ spl0_69
| ~ spl0_89
| ~ spl0_99
| ~ spl0_173 ),
inference(avatar_contradiction_clause,[],[f42333]) ).
thf(f42333,plain,
( $false
| ~ spl0_3
| ~ spl0_7
| ~ spl0_17
| ~ spl0_30
| ~ spl0_31
| spl0_56
| ~ spl0_65
| ~ spl0_69
| ~ spl0_89
| ~ spl0_99
| ~ spl0_173 ),
inference(subsumption_resolution,[],[f42332,f485]) ).
thf(f42332,plain,
( ( $false = vAPP($o,$o,f0,$true) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_17
| ~ spl0_30
| ~ spl0_31
| ~ spl0_65
| ~ spl0_69
| ~ spl0_89
| ~ spl0_99
| ~ spl0_173 ),
inference(forward_demodulation,[],[f42331,f183]) ).
thf(f42331,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_17
| ~ spl0_30
| ~ spl0_31
| ~ spl0_65
| ~ spl0_69
| ~ spl0_89
| ~ spl0_99
| ~ spl0_173 ),
inference(forward_demodulation,[],[f42330,f183]) ).
thf(f42330,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_17
| ~ spl0_31
| ~ spl0_65
| ~ spl0_69
| ~ spl0_89
| ~ spl0_99
| ~ spl0_173 ),
inference(forward_demodulation,[],[f42329,f2165]) ).
thf(f42329,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$false)))) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_17
| ~ spl0_31
| ~ spl0_65
| ~ spl0_69
| ~ spl0_89
| ~ spl0_173 ),
inference(forward_demodulation,[],[f42328,f19785]) ).
thf(f42328,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$false))))) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_17
| ~ spl0_31
| ~ spl0_65
| ~ spl0_69
| ~ spl0_89
| ~ spl0_173 ),
inference(forward_demodulation,[],[f42327,f19785]) ).
thf(f42327,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$false)))))) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_17
| ~ spl0_31
| ~ spl0_65
| ~ spl0_69
| ~ spl0_89
| ~ spl0_173 ),
inference(forward_demodulation,[],[f42326,f19785]) ).
thf(f42326,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$false))))))) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_17
| ~ spl0_31
| ~ spl0_65
| ~ spl0_69
| ~ spl0_89 ),
inference(forward_demodulation,[],[f42325,f41809]) ).
thf(f41809,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,$false)) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_89 ),
inference(forward_demodulation,[],[f41808,f1412]) ).
thf(f41808,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$false))) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_89 ),
inference(forward_demodulation,[],[f41807,f1412]) ).
thf(f41807,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false)))) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_89 ),
inference(forward_demodulation,[],[f41806,f1412]) ).
thf(f41806,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$false))))) )
| ~ spl0_7
| ~ spl0_17 ),
inference(forward_demodulation,[],[f125,f80]) ).
thf(f42237,plain,
( ~ spl0_107
| ~ spl0_111
| ~ spl0_134
| spl0_171 ),
inference(avatar_contradiction_clause,[],[f42236]) ).
thf(f42236,plain,
( $false
| ~ spl0_107
| ~ spl0_111
| ~ spl0_134
| spl0_171 ),
inference(subsumption_resolution,[],[f41583,f42168]) ).
thf(f42168,plain,
( ( $false != vAPP($o,$o,f4,$false) )
| ~ spl0_111
| spl0_171 ),
inference(forward_demodulation,[],[f14054,f2661]) ).
thf(f41583,plain,
( ( $false = vAPP($o,$o,f4,$false) )
| ~ spl0_107
| ~ spl0_134 ),
inference(forward_demodulation,[],[f3281,f2637]) ).
thf(f42155,plain,
( spl0_56
| ~ spl0_150
| ~ spl0_156
| ~ spl0_180
| ~ spl0_184 ),
inference(avatar_contradiction_clause,[],[f42154]) ).
thf(f42154,plain,
( $false
| spl0_56
| ~ spl0_150
| ~ spl0_156
| ~ spl0_180
| ~ spl0_184 ),
inference(subsumption_resolution,[],[f42153,f485]) ).
thf(f42153,plain,
( ( $false = vAPP($o,$o,f0,$true) )
| ~ spl0_150
| ~ spl0_156
| ~ spl0_180
| ~ spl0_184 ),
inference(forward_demodulation,[],[f42152,f5115]) ).
thf(f42152,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ~ spl0_150
| ~ spl0_156
| ~ spl0_180
| ~ spl0_184 ),
inference(forward_demodulation,[],[f42151,f5115]) ).
thf(f42151,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) )
| ~ spl0_150
| ~ spl0_156
| ~ spl0_180
| ~ spl0_184 ),
inference(forward_demodulation,[],[f42150,f5115]) ).
thf(f42150,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$true)))) )
| ~ spl0_156
| ~ spl0_180
| ~ spl0_184 ),
inference(forward_demodulation,[],[f42149,f31813]) ).
thf(f42149,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))))) )
| ~ spl0_156
| ~ spl0_180 ),
inference(forward_demodulation,[],[f42116,f31777]) ).
thf(f42116,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$true)))))) )
| ~ spl0_156
| ~ spl0_180 ),
inference(backward_demodulation,[],[f6224,f31777]) ).
thf(f42037,plain,
( spl0_156
| ~ spl0_131
| ~ spl0_138 ),
inference(avatar_split_clause,[],[f40259,f4312,f3263,f6222]) ).
thf(f40259,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$true))))))) )
| ~ spl0_131
| ~ spl0_138 ),
inference(forward_demodulation,[],[f3265,f4314]) ).
thf(f3265,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$false)))))))) )
| ~ spl0_131 ),
inference(avatar_component_clause,[],[f3263]) ).
thf(f41924,plain,
( ~ spl0_3
| ~ spl0_7
| spl0_32
| ~ spl0_65
| ~ spl0_89
| ~ spl0_168 ),
inference(avatar_contradiction_clause,[],[f41923]) ).
thf(f41923,plain,
( $false
| ~ spl0_3
| ~ spl0_7
| spl0_32
| ~ spl0_65
| ~ spl0_89
| ~ spl0_168 ),
inference(subsumption_resolution,[],[f41922,f41914]) ).
thf(f41922,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$false))))))))))) )
| spl0_32
| ~ spl0_89
| ~ spl0_168 ),
inference(forward_demodulation,[],[f41201,f1412]) ).
thf(f41201,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,$false)))))))))))) )
| spl0_32
| ~ spl0_168 ),
inference(forward_demodulation,[],[f332,f9125]) ).
thf(f332,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,$true))))))))))))) )
| spl0_32 ),
inference(avatar_component_clause,[],[f331]) ).
thf(f41698,plain,
( ~ spl0_110
| ~ spl0_7
| spl0_117 ),
inference(avatar_split_clause,[],[f41697,f3040,f78,f2651]) ).
thf(f3040,plain,
( spl0_117
<=> ( vAPP($o,$o,f5,vAPP($o,$o,f6,x)) = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).
thf(f41697,plain,
( ( $true != vAPP($o,$o,f5,$false) )
| ~ spl0_7
| spl0_117 ),
inference(forward_demodulation,[],[f3041,f80]) ).
thf(f3041,plain,
( ( vAPP($o,$o,f5,vAPP($o,$o,f6,x)) != $true )
| spl0_117 ),
inference(avatar_component_clause,[],[f3040]) ).
thf(f41472,plain,
( spl0_53
| ~ spl0_49
| ~ spl0_150
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f41321,f31811,f5113,f446,f469]) ).
thf(f41321,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ~ spl0_49
| ~ spl0_150
| ~ spl0_184 ),
inference(forward_demodulation,[],[f41307,f5115]) ).
thf(f41307,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ~ spl0_49
| ~ spl0_184 ),
inference(backward_demodulation,[],[f448,f31813]) ).
thf(f41471,plain,
( spl0_56
| ~ spl0_150
| ~ spl0_158
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f41327,f31811,f6236,f5113,f484]) ).
thf(f41327,plain,
( ( $false = vAPP($o,$o,f0,$true) )
| ~ spl0_150
| ~ spl0_158
| ~ spl0_184 ),
inference(forward_demodulation,[],[f41326,f5115]) ).
thf(f41326,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ~ spl0_150
| ~ spl0_158
| ~ spl0_184 ),
inference(forward_demodulation,[],[f41325,f5115]) ).
thf(f41325,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) )
| ~ spl0_150
| ~ spl0_158
| ~ spl0_184 ),
inference(forward_demodulation,[],[f41309,f5115]) ).
thf(f41309,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$true)))) )
| ~ spl0_158
| ~ spl0_184 ),
inference(backward_demodulation,[],[f6238,f31813]) ).
thf(f41470,plain,
( ~ spl0_30
| ~ spl0_150
| ~ spl0_184
| spl0_190 ),
inference(avatar_split_clause,[],[f41333,f33062,f31811,f5113,f181]) ).
thf(f41333,plain,
( ( $true != vAPP($o,$o,f0,$true) )
| ~ spl0_150
| ~ spl0_184
| spl0_190 ),
inference(forward_demodulation,[],[f41313,f5115]) ).
thf(f41313,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ~ spl0_184
| spl0_190 ),
inference(backward_demodulation,[],[f33063,f31813]) ).
thf(f33063,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))) )
| spl0_190 ),
inference(avatar_component_clause,[],[f33062]) ).
thf(f41469,plain,
( ~ spl0_62
| ~ spl0_150
| ~ spl0_184
| spl0_203 ),
inference(avatar_split_clause,[],[f41345,f36845,f31811,f5113,f739]) ).
thf(f41345,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ~ spl0_150
| ~ spl0_184
| spl0_203 ),
inference(forward_demodulation,[],[f41344,f5115]) ).
thf(f41344,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true))) )
| ~ spl0_184
| spl0_203 ),
inference(forward_demodulation,[],[f41343,f31813]) ).
thf(f41343,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$true)))) )
| ~ spl0_184
| spl0_203 ),
inference(forward_demodulation,[],[f41319,f31813]) ).
thf(f41319,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))))) )
| ~ spl0_184
| spl0_203 ),
inference(backward_demodulation,[],[f36846,f31813]) ).
thf(f36846,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true)))))) )
| spl0_203 ),
inference(avatar_component_clause,[],[f36845]) ).
thf(f41467,plain,
( spl0_82
| ~ spl0_72
| ~ spl0_99
| ~ spl0_143
| ~ spl0_173 ),
inference(avatar_split_clause,[],[f41376,f19783,f4459,f2163,f898,f978]) ).
thf(f41376,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ~ spl0_72
| ~ spl0_99
| ~ spl0_143
| ~ spl0_173 ),
inference(forward_demodulation,[],[f41375,f2165]) ).
thf(f41375,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$false)))) )
| ~ spl0_72
| ~ spl0_143
| ~ spl0_173 ),
inference(forward_demodulation,[],[f41374,f19785]) ).
thf(f41374,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$false))))) )
| ~ spl0_72
| ~ spl0_143
| ~ spl0_173 ),
inference(forward_demodulation,[],[f41361,f19785]) ).
thf(f41361,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$false)))))) )
| ~ spl0_72
| ~ spl0_143
| ~ spl0_173 ),
inference(backward_demodulation,[],[f40792,f19785]) ).
thf(f40792,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$false))))))) )
| ~ spl0_72
| ~ spl0_143 ),
inference(backward_demodulation,[],[f900,f4461]) ).
thf(f41387,plain,
( ~ spl0_7
| ~ spl0_75
| ~ spl0_81
| spl0_103
| ~ spl0_173 ),
inference(avatar_contradiction_clause,[],[f41386]) ).
thf(f41386,plain,
( $false
| ~ spl0_7
| ~ spl0_75
| ~ spl0_81
| spl0_103
| ~ spl0_173 ),
inference(subsumption_resolution,[],[f41385,f2414]) ).
thf(f41385,plain,
( ( $false = vAPP($o,$o,f1,$false) )
| ~ spl0_7
| ~ spl0_75
| ~ spl0_81
| ~ spl0_173 ),
inference(forward_demodulation,[],[f41363,f19785]) ).
thf(f41363,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,$false)) )
| ~ spl0_7
| ~ spl0_75
| ~ spl0_81
| ~ spl0_173 ),
inference(backward_demodulation,[],[f41020,f19785]) ).
thf(f41020,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$false))) )
| ~ spl0_7
| ~ spl0_75
| ~ spl0_81 ),
inference(forward_demodulation,[],[f40358,f40394]) ).
thf(f40394,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$false)))))))) )
| ~ spl0_7
| ~ spl0_75 ),
inference(forward_demodulation,[],[f931,f80]) ).
thf(f40358,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$false))))))))))) )
| ~ spl0_7
| ~ spl0_81 ),
inference(forward_demodulation,[],[f976,f80]) ).
thf(f976,plain,
( ( vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x)))))))))))) = $false )
| ~ spl0_81 ),
inference(avatar_component_clause,[],[f974]) ).
thf(f41381,plain,
( ~ spl0_56
| ~ spl0_72
| ~ spl0_94
| ~ spl0_99
| ~ spl0_143
| ~ spl0_173 ),
inference(avatar_contradiction_clause,[],[f41380]) ).
thf(f41380,plain,
( $false
| ~ spl0_56
| ~ spl0_72
| ~ spl0_94
| ~ spl0_99
| ~ spl0_143
| ~ spl0_173 ),
inference(trivial_inequality_removal,[],[f41379]) ).
thf(f41379,plain,
( ( $true = $false )
| ~ spl0_56
| ~ spl0_72
| ~ spl0_94
| ~ spl0_99
| ~ spl0_143
| ~ spl0_173 ),
inference(forward_demodulation,[],[f41378,f486]) ).
thf(f41378,plain,
( ( $true = vAPP($o,$o,f0,$true) )
| ~ spl0_56
| ~ spl0_72
| ~ spl0_94
| ~ spl0_99
| ~ spl0_143
| ~ spl0_173 ),
inference(forward_demodulation,[],[f41377,f1676]) ).
thf(f41377,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,$false)) )
| ~ spl0_56
| ~ spl0_72
| ~ spl0_99
| ~ spl0_143
| ~ spl0_173 ),
inference(forward_demodulation,[],[f41376,f486]) ).
thf(f41304,plain,
( spl0_173
| ~ spl0_7
| ~ spl0_75
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f41014,f945,f929,f78,f19783]) ).
thf(f41014,plain,
( ( $false = vAPP($o,$o,f2,$false) )
| ~ spl0_7
| ~ spl0_75
| ~ spl0_77 ),
inference(forward_demodulation,[],[f40383,f40394]) ).
thf(f40383,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$false))))))))) )
| ~ spl0_7
| ~ spl0_77 ),
inference(forward_demodulation,[],[f947,f80]) ).
thf(f947,plain,
( ( vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x)))))))))) = $false )
| ~ spl0_77 ),
inference(avatar_component_clause,[],[f945]) ).
thf(f41303,plain,
( spl0_139
| ~ spl0_7
| ~ spl0_75
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f41017,f960,f929,f78,f4316]) ).
thf(f41017,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,$false)) )
| ~ spl0_7
| ~ spl0_75
| ~ spl0_79 ),
inference(forward_demodulation,[],[f40370,f40394]) ).
thf(f40370,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$false)))))))))) )
| ~ spl0_7
| ~ spl0_79 ),
inference(forward_demodulation,[],[f962,f80]) ).
thf(f41257,plain,
( spl0_158
| ~ spl0_138
| ~ spl0_143
| ~ spl0_156 ),
inference(avatar_split_clause,[],[f40919,f6222,f4459,f4312,f6236]) ).
thf(f40919,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))))) )
| ~ spl0_138
| ~ spl0_143
| ~ spl0_156 ),
inference(forward_demodulation,[],[f40918,f4314]) ).
thf(f40918,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$false)))))) )
| ~ spl0_143
| ~ spl0_156 ),
inference(forward_demodulation,[],[f6224,f4461]) ).
thf(f41248,plain,
( spl0_179
| ~ spl0_7
| ~ spl0_15
| ~ spl0_98
| ~ spl0_110
| ~ spl0_138
| ~ spl0_143 ),
inference(avatar_split_clause,[],[f40988,f4459,f4312,f2651,f2071,f114,f78,f30575]) ).
thf(f40988,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,$true)) )
| ~ spl0_7
| ~ spl0_15
| ~ spl0_98
| ~ spl0_110
| ~ spl0_138
| ~ spl0_143 ),
inference(forward_demodulation,[],[f40987,f4314]) ).
thf(f40987,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$false))) )
| ~ spl0_7
| ~ spl0_15
| ~ spl0_98
| ~ spl0_110
| ~ spl0_138
| ~ spl0_143 ),
inference(forward_demodulation,[],[f40986,f4461]) ).
thf(f40986,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$true)))) )
| ~ spl0_7
| ~ spl0_15
| ~ spl0_98
| ~ spl0_110
| ~ spl0_138 ),
inference(forward_demodulation,[],[f40985,f4314]) ).
thf(f40985,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$false))))) )
| ~ spl0_7
| ~ spl0_15
| ~ spl0_98
| ~ spl0_110 ),
inference(forward_demodulation,[],[f40294,f40902]) ).
thf(f40902,plain,
( ( $false = vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$true))) )
| ~ spl0_7
| ~ spl0_15
| ~ spl0_110 ),
inference(forward_demodulation,[],[f38702,f2653]) ).
thf(f38702,plain,
( ( $false = vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$false)))) )
| ~ spl0_7
| ~ spl0_15 ),
inference(forward_demodulation,[],[f116,f80]) ).
thf(f40294,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$true)))))))) )
| ~ spl0_98
| ~ spl0_110 ),
inference(forward_demodulation,[],[f2073,f2653]) ).
thf(f41234,plain,
( ~ spl0_7
| ~ spl0_31
| ~ spl0_69
| spl0_71
| ~ spl0_110
| ~ spl0_172 ),
inference(avatar_contradiction_clause,[],[f41233]) ).
thf(f41233,plain,
( $false
| ~ spl0_7
| ~ spl0_31
| ~ spl0_69
| spl0_71
| ~ spl0_110
| ~ spl0_172 ),
inference(subsumption_resolution,[],[f41229,f40729]) ).
thf(f40729,plain,
( ( $false = vAPP($o,$o,f4,$false) )
| ~ spl0_7
| ~ spl0_31
| ~ spl0_69
| ~ spl0_110
| ~ spl0_172 ),
inference(forward_demodulation,[],[f40728,f14059]) ).
thf(f40728,plain,
( ( $false = vAPP($o,$o,f4,vAPP($o,$o,f4,$true)) )
| ~ spl0_7
| ~ spl0_31
| ~ spl0_69
| ~ spl0_110 ),
inference(forward_demodulation,[],[f34850,f2653]) ).
thf(f41229,plain,
( ( $false != vAPP($o,$o,f4,$false) )
| ~ spl0_7
| ~ spl0_31
| ~ spl0_69
| spl0_71
| ~ spl0_110
| ~ spl0_172 ),
inference(backward_demodulation,[],[f41062,f40729]) ).
thf(f41062,plain,
( ( $false != vAPP($o,$o,f4,vAPP($o,$o,f4,$false)) )
| ~ spl0_7
| ~ spl0_31
| spl0_71
| ~ spl0_110
| ~ spl0_172 ),
inference(forward_demodulation,[],[f41061,f14059]) ).
thf(f41061,plain,
( ( $false != vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$true))) )
| ~ spl0_7
| ~ spl0_31
| spl0_71
| ~ spl0_110 ),
inference(forward_demodulation,[],[f41040,f2653]) ).
thf(f40991,plain,
( ~ spl0_7
| ~ spl0_15
| ~ spl0_98
| ~ spl0_102
| spl0_103
| ~ spl0_110
| ~ spl0_138
| ~ spl0_143 ),
inference(avatar_contradiction_clause,[],[f40990]) ).
thf(f40990,plain,
( $false
| ~ spl0_7
| ~ spl0_15
| ~ spl0_98
| ~ spl0_102
| spl0_103
| ~ spl0_110
| ~ spl0_138
| ~ spl0_143 ),
inference(subsumption_resolution,[],[f40989,f2414]) ).
thf(f40989,plain,
( ( $false = vAPP($o,$o,f1,$false) )
| ~ spl0_7
| ~ spl0_15
| ~ spl0_98
| ~ spl0_102
| ~ spl0_110
| ~ spl0_138
| ~ spl0_143 ),
inference(forward_demodulation,[],[f40988,f2237]) ).
thf(f40456,plain,
( spl0_45
| ~ spl0_56
| ~ spl0_94
| ~ spl0_99
| ~ spl0_102
| ~ spl0_139 ),
inference(avatar_contradiction_clause,[],[f40455]) ).
thf(f40455,plain,
( $false
| spl0_45
| ~ spl0_56
| ~ spl0_94
| ~ spl0_99
| ~ spl0_102
| ~ spl0_139 ),
inference(subsumption_resolution,[],[f40454,f486]) ).
thf(f40454,plain,
( ( $false != vAPP($o,$o,f0,$true) )
| spl0_45
| ~ spl0_56
| ~ spl0_94
| ~ spl0_99
| ~ spl0_102
| ~ spl0_139 ),
inference(forward_demodulation,[],[f40453,f1676]) ).
thf(f40453,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,$false)) )
| spl0_45
| ~ spl0_56
| ~ spl0_99
| ~ spl0_102
| ~ spl0_139 ),
inference(forward_demodulation,[],[f40452,f486]) ).
thf(f40452,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| spl0_45
| ~ spl0_99
| ~ spl0_102
| ~ spl0_139 ),
inference(forward_demodulation,[],[f40451,f2165]) ).
thf(f40451,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$false)))) )
| spl0_45
| ~ spl0_102
| ~ spl0_139 ),
inference(forward_demodulation,[],[f40450,f4317]) ).
thf(f40450,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$false)))))) )
| spl0_45
| ~ spl0_102 ),
inference(forward_demodulation,[],[f420,f2237]) ).
thf(f40215,plain,
( spl0_97
| ~ spl0_99
| ~ spl0_102
| ~ spl0_156
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f40214,f31775,f6222,f2235,f2163,f2067]) ).
thf(f40214,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) )
| ~ spl0_99
| ~ spl0_102
| ~ spl0_156
| ~ spl0_180 ),
inference(forward_demodulation,[],[f40213,f2165]) ).
thf(f40213,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ~ spl0_102
| ~ spl0_156
| ~ spl0_180 ),
inference(forward_demodulation,[],[f40212,f2237]) ).
thf(f40212,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))))) )
| ~ spl0_156
| ~ spl0_180 ),
inference(forward_demodulation,[],[f40211,f31777]) ).
thf(f40211,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$true)))))) )
| ~ spl0_156
| ~ spl0_180 ),
inference(forward_demodulation,[],[f6224,f31777]) ).
thf(f40194,plain,
( spl0_139
| ~ spl0_102
| ~ spl0_177 ),
inference(avatar_split_clause,[],[f40193,f27612,f2235,f4316]) ).
thf(f40193,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,$false)) )
| ~ spl0_102
| ~ spl0_177 ),
inference(forward_demodulation,[],[f27614,f2237]) ).
thf(f40067,plain,
( ~ spl0_30
| ~ spl0_99
| ~ spl0_102
| spl0_190 ),
inference(avatar_split_clause,[],[f40066,f33062,f2235,f2163,f181]) ).
thf(f40066,plain,
( ( $true != vAPP($o,$o,f0,$true) )
| ~ spl0_99
| ~ spl0_102
| spl0_190 ),
inference(forward_demodulation,[],[f39814,f2165]) ).
thf(f39814,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ~ spl0_102
| spl0_190 ),
inference(backward_demodulation,[],[f33063,f2237]) ).
thf(f39776,plain,
( spl0_93
| ~ spl0_142
| ~ spl0_143
| ~ spl0_166
| ~ spl0_174 ),
inference(avatar_split_clause,[],[f39775,f22938,f7911,f4459,f4455,f1668]) ).
thf(f4455,plain,
( spl0_142
<=> ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$true)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).
thf(f39775,plain,
( ( $false = vAPP($o,$o,f0,$false) )
| ~ spl0_142
| ~ spl0_143
| ~ spl0_166
| ~ spl0_174 ),
inference(forward_demodulation,[],[f39774,f7913]) ).
thf(f39774,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ~ spl0_142
| ~ spl0_143
| ~ spl0_174 ),
inference(forward_demodulation,[],[f39773,f22940]) ).
thf(f39773,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$false))))) )
| ~ spl0_142
| ~ spl0_143 ),
inference(forward_demodulation,[],[f4457,f4461]) ).
thf(f4457,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$true)))))) )
| ~ spl0_142 ),
inference(avatar_component_clause,[],[f4455]) ).
thf(f39726,plain,
( spl0_200
| spl0_28
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f35836,f145,f172,f33213]) ).
thf(f35836,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))) )
| ~ spl0_22 ),
inference(superposition,[],[f147,f4]) ).
thf(f39602,plain,
( ~ spl0_89
| ~ spl0_7
| ~ spl0_31
| spl0_65 ),
inference(avatar_split_clause,[],[f38576,f834,f327,f78,f1410]) ).
thf(f38576,plain,
( ( $false != vAPP($o,$o,f5,$false) )
| ~ spl0_7
| ~ spl0_31
| spl0_65 ),
inference(backward_demodulation,[],[f37199,f329]) ).
thf(f37199,plain,
( ( $false != vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$false))) )
| ~ spl0_7
| spl0_65 ),
inference(forward_demodulation,[],[f835,f80]) ).
thf(f835,plain,
( ( vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x)))) != $false )
| spl0_65 ),
inference(avatar_component_clause,[],[f834]) ).
thf(f39576,plain,
( ~ spl0_193
| ~ spl0_138
| ~ spl0_143
| spl0_162 ),
inference(avatar_split_clause,[],[f39397,f6339,f4459,f4312,f33084]) ).
thf(f39397,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$true)))) )
| ~ spl0_138
| ~ spl0_143
| spl0_162 ),
inference(forward_demodulation,[],[f39396,f4314]) ).
thf(f39396,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$false))))) )
| ~ spl0_138
| ~ spl0_143
| spl0_162 ),
inference(forward_demodulation,[],[f39395,f4461]) ).
thf(f39395,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$true)))))) )
| ~ spl0_138
| spl0_162 ),
inference(forward_demodulation,[],[f6340,f4314]) ).
thf(f39505,plain,
( ~ spl0_45
| spl0_34
| ~ spl0_69
| ~ spl0_71
| ~ spl0_138
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f38859,f14053,f4312,f894,f875,f340,f419]) ).
thf(f38859,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))))))) )
| spl0_34
| ~ spl0_69
| ~ spl0_71
| ~ spl0_138
| ~ spl0_171 ),
inference(forward_demodulation,[],[f38858,f4314]) ).
thf(f38858,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$false)))))))) )
| spl0_34
| ~ spl0_69
| ~ spl0_71
| ~ spl0_171 ),
inference(forward_demodulation,[],[f38857,f1056]) ).
thf(f1056,plain,
( ( $false = vAPP($o,$o,f4,$false) )
| ~ spl0_69
| ~ spl0_71 ),
inference(backward_demodulation,[],[f896,f877]) ).
thf(f38857,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))))))) )
| spl0_34
| ~ spl0_69
| ~ spl0_71
| ~ spl0_171 ),
inference(forward_demodulation,[],[f38848,f1056]) ).
thf(f38848,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$false)))))))))) )
| spl0_34
| ~ spl0_171 ),
inference(backward_demodulation,[],[f341,f14055]) ).
thf(f39504,plain,
( spl0_74
| ~ spl0_61
| ~ spl0_69
| ~ spl0_71
| ~ spl0_138
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f38864,f14053,f4312,f894,f875,f725,f916]) ).
thf(f38864,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))))))) )
| ~ spl0_61
| ~ spl0_69
| ~ spl0_71
| ~ spl0_138
| ~ spl0_171 ),
inference(forward_demodulation,[],[f38863,f4314]) ).
thf(f38863,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$false)))))))) )
| ~ spl0_61
| ~ spl0_69
| ~ spl0_71
| ~ spl0_171 ),
inference(forward_demodulation,[],[f38862,f1056]) ).
thf(f38862,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))))))) )
| ~ spl0_61
| ~ spl0_69
| ~ spl0_71
| ~ spl0_171 ),
inference(forward_demodulation,[],[f38849,f1056]) ).
thf(f38849,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$false)))))))))) )
| ~ spl0_61
| ~ spl0_171 ),
inference(backward_demodulation,[],[f727,f14055]) ).
thf(f39502,plain,
( spl0_45
| ~ spl0_3
| ~ spl0_7
| ~ spl0_31
| ~ spl0_69
| ~ spl0_71
| ~ spl0_110
| ~ spl0_138
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f38911,f14057,f4312,f2651,f894,f875,f327,f78,f19,f419]) ).
thf(f38911,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))))))) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_31
| ~ spl0_69
| ~ spl0_71
| ~ spl0_110
| ~ spl0_138
| ~ spl0_172 ),
inference(forward_demodulation,[],[f38910,f4314]) ).
thf(f38910,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$false)))))))) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_31
| ~ spl0_69
| ~ spl0_71
| ~ spl0_110
| ~ spl0_172 ),
inference(forward_demodulation,[],[f38909,f1056]) ).
thf(f38909,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))))))) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_31
| ~ spl0_69
| ~ spl0_71
| ~ spl0_110
| ~ spl0_172 ),
inference(forward_demodulation,[],[f38908,f1056]) ).
thf(f38908,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$false)))))))))) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_31
| ~ spl0_110
| ~ spl0_172 ),
inference(forward_demodulation,[],[f38907,f14059]) ).
thf(f38907,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$true))))))))))) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_31
| ~ spl0_110 ),
inference(forward_demodulation,[],[f38898,f2653]) ).
thf(f38898,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,$false)))))))))))) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_31 ),
inference(backward_demodulation,[],[f38467,f329]) ).
thf(f38467,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$false)))))))))))))) )
| ~ spl0_3
| ~ spl0_7 ),
inference(forward_demodulation,[],[f21,f80]) ).
thf(f39066,plain,
( spl0_174
| ~ spl0_102
| ~ spl0_197 ),
inference(avatar_split_clause,[],[f39065,f33151,f2235,f22938]) ).
thf(f39065,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,$false)) )
| ~ spl0_102
| ~ spl0_197 ),
inference(forward_demodulation,[],[f33153,f2237]) ).
thf(f38932,plain,
( ~ spl0_56
| ~ spl0_94
| ~ spl0_179
| spl0_192 ),
inference(avatar_split_clause,[],[f38931,f33075,f30575,f1674,f484]) ).
thf(f38931,plain,
( ( $false != vAPP($o,$o,f0,$true) )
| ~ spl0_94
| ~ spl0_179
| spl0_192 ),
inference(forward_demodulation,[],[f38930,f1676]) ).
thf(f38930,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,$false)) )
| ~ spl0_179
| spl0_192 ),
inference(forward_demodulation,[],[f33076,f30576]) ).
thf(f38566,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_85
| spl0_93 ),
inference(avatar_contradiction_clause,[],[f38565]) ).
thf(f38565,plain,
( $false
| ~ spl0_3
| ~ spl0_7
| ~ spl0_85
| spl0_93 ),
inference(subsumption_resolution,[],[f38564,f1669]) ).
thf(f38564,plain,
( ( $false = vAPP($o,$o,f0,$false) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_85 ),
inference(backward_demodulation,[],[f38467,f37172]) ).
thf(f37172,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$false))))))))))))) )
| ~ spl0_7
| ~ spl0_85 ),
inference(forward_demodulation,[],[f998,f80]) ).
thf(f38217,plain,
( ~ spl0_7
| ~ spl0_17
| ~ spl0_110
| ~ spl0_125
| spl0_157
| ~ spl0_172 ),
inference(avatar_contradiction_clause,[],[f38216]) ).
thf(f38216,plain,
( $false
| ~ spl0_7
| ~ spl0_17
| ~ spl0_110
| ~ spl0_125
| spl0_157
| ~ spl0_172 ),
inference(subsumption_resolution,[],[f38215,f6227]) ).
thf(f38215,plain,
( ( $false = vAPP($o,$o,f3,$false) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_110
| ~ spl0_125
| ~ spl0_172 ),
inference(backward_demodulation,[],[f38175,f14059]) ).
thf(f38175,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,$true)) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_110
| ~ spl0_125 ),
inference(backward_demodulation,[],[f37238,f3121]) ).
thf(f37238,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$true)))) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_110 ),
inference(forward_demodulation,[],[f37237,f2653]) ).
thf(f37237,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$false))))) )
| ~ spl0_7
| ~ spl0_17 ),
inference(forward_demodulation,[],[f125,f80]) ).
thf(f38213,plain,
( ~ spl0_103
| ~ spl0_143
| ~ spl0_174
| spl0_201 ),
inference(avatar_contradiction_clause,[],[f38212]) ).
thf(f38212,plain,
( $false
| ~ spl0_103
| ~ spl0_143
| ~ spl0_174
| spl0_201 ),
inference(subsumption_resolution,[],[f38210,f2415]) ).
thf(f38210,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ~ spl0_143
| ~ spl0_174
| spl0_201 ),
inference(backward_demodulation,[],[f37940,f22940]) ).
thf(f37940,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$false))) )
| ~ spl0_143
| spl0_201 ),
inference(forward_demodulation,[],[f33310,f4461]) ).
thf(f38183,plain,
( spl0_172
| ~ spl0_7
| ~ spl0_31
| ~ spl0_69
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f38087,f2651,f875,f327,f78,f14057]) ).
thf(f38087,plain,
( ( $false = vAPP($o,$o,f4,$true) )
| ~ spl0_7
| ~ spl0_31
| ~ spl0_69
| ~ spl0_110 ),
inference(duplicate_literal_removal,[],[f38080]) ).
thf(f38080,plain,
( ( $false = vAPP($o,$o,f4,$true) )
| ( $false = vAPP($o,$o,f4,$true) )
| ~ spl0_7
| ~ spl0_31
| ~ spl0_69
| ~ spl0_110 ),
inference(superposition,[],[f37119,f4]) ).
thf(f37119,plain,
( ( $false = vAPP($o,$o,f4,vAPP($o,$o,f4,$true)) )
| ~ spl0_7
| ~ spl0_31
| ~ spl0_69
| ~ spl0_110 ),
inference(backward_demodulation,[],[f34850,f2653]) ).
thf(f38180,plain,
( ~ spl0_172
| ~ spl0_7
| spl0_15
| ~ spl0_110
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f38177,f3119,f2651,f114,f78,f14057]) ).
thf(f38177,plain,
( ( $false != vAPP($o,$o,f4,$true) )
| ~ spl0_7
| spl0_15
| ~ spl0_110
| ~ spl0_125 ),
inference(backward_demodulation,[],[f37873,f3121]) ).
thf(f37873,plain,
( ( $false != vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$true))) )
| ~ spl0_7
| spl0_15
| ~ spl0_110 ),
inference(forward_demodulation,[],[f37872,f2653]) ).
thf(f37872,plain,
( ( $false != vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$false)))) )
| ~ spl0_7
| spl0_15 ),
inference(forward_demodulation,[],[f115,f80]) ).
thf(f38112,plain,
( spl0_102
| spl0_24
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f35830,f145,f154,f2235]) ).
thf(f154,plain,
( spl0_24
<=> ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$true)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
thf(f35830,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$true)))) )
| ( $false = vAPP($o,$o,f2,$true) )
| ~ spl0_22 ),
inference(superposition,[],[f147,f4]) ).
thf(f38111,plain,
( spl0_102
| ~ spl0_136
| spl0_158 ),
inference(avatar_split_clause,[],[f35866,f6236,f4032,f2235]) ).
thf(f35866,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$true)))) )
| ( $false = vAPP($o,$o,f2,$true) )
| spl0_158 ),
inference(superposition,[],[f6237,f4]) ).
thf(f38018,plain,
( ~ spl0_7
| ~ spl0_17
| ~ spl0_110
| ~ spl0_120
| ~ spl0_130
| ~ spl0_138
| spl0_142
| ~ spl0_143 ),
inference(avatar_contradiction_clause,[],[f38017]) ).
thf(f38017,plain,
( $false
| ~ spl0_7
| ~ spl0_17
| ~ spl0_110
| ~ spl0_120
| ~ spl0_130
| ~ spl0_138
| spl0_142
| ~ spl0_143 ),
inference(subsumption_resolution,[],[f37925,f37881]) ).
thf(f37881,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$false))))) )
| spl0_142
| ~ spl0_143 ),
inference(forward_demodulation,[],[f4456,f4461]) ).
thf(f4456,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$true)))))) )
| spl0_142 ),
inference(avatar_component_clause,[],[f4455]) ).
thf(f37925,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$false))))) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_110
| ~ spl0_120
| ~ spl0_130
| ~ spl0_138
| ~ spl0_143 ),
inference(forward_demodulation,[],[f37455,f4461]) ).
thf(f37455,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$true)))))) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_110
| ~ spl0_120
| ~ spl0_130
| ~ spl0_138 ),
inference(forward_demodulation,[],[f37454,f4314]) ).
thf(f37454,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$false))))))) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_110
| ~ spl0_120
| ~ spl0_130 ),
inference(forward_demodulation,[],[f37110,f37240]) ).
thf(f37240,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,$true)) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_110
| ~ spl0_120 ),
inference(forward_demodulation,[],[f37239,f3074]) ).
thf(f37239,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$true))) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_110
| ~ spl0_120 ),
inference(forward_demodulation,[],[f37238,f3074]) ).
thf(f37110,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))))))))) )
| ~ spl0_120
| ~ spl0_130 ),
inference(forward_demodulation,[],[f37109,f3074]) ).
thf(f37109,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$true)))))))))) )
| ~ spl0_120
| ~ spl0_130 ),
inference(forward_demodulation,[],[f3153,f3074]) ).
thf(f37942,plain,
( ~ spl0_7
| ~ spl0_17
| ~ spl0_27
| ~ spl0_110
| ~ spl0_120
| ~ spl0_138
| ~ spl0_143
| spl0_201 ),
inference(avatar_contradiction_clause,[],[f37941]) ).
thf(f37941,plain,
( $false
| ~ spl0_7
| ~ spl0_17
| ~ spl0_27
| ~ spl0_110
| ~ spl0_120
| ~ spl0_138
| ~ spl0_143
| spl0_201 ),
inference(subsumption_resolution,[],[f37940,f37903]) ).
thf(f37903,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$false))) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_27
| ~ spl0_110
| ~ spl0_120
| ~ spl0_138
| ~ spl0_143 ),
inference(forward_demodulation,[],[f37402,f4461]) ).
thf(f37402,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$true)))) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_27
| ~ spl0_110
| ~ spl0_120
| ~ spl0_138 ),
inference(forward_demodulation,[],[f37401,f4314]) ).
thf(f37401,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$false))))) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_27
| ~ spl0_110
| ~ spl0_120 ),
inference(forward_demodulation,[],[f37233,f37240]) ).
thf(f37233,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))))))) )
| ~ spl0_7
| ~ spl0_27
| ~ spl0_110
| ~ spl0_120 ),
inference(forward_demodulation,[],[f37232,f3074]) ).
thf(f37232,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$true)))))))) )
| ~ spl0_7
| ~ spl0_27
| ~ spl0_110
| ~ spl0_120 ),
inference(forward_demodulation,[],[f37231,f3074]) ).
thf(f37231,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$true))))))))) )
| ~ spl0_7
| ~ spl0_27
| ~ spl0_110 ),
inference(forward_demodulation,[],[f37230,f2653]) ).
thf(f37230,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$false)))))))))) )
| ~ spl0_7
| ~ spl0_27 ),
inference(forward_demodulation,[],[f170,f80]) ).
thf(f37894,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_17
| spl0_93
| ~ spl0_110
| ~ spl0_120
| ~ spl0_138
| ~ spl0_143
| ~ spl0_189 ),
inference(avatar_contradiction_clause,[],[f37893]) ).
thf(f37893,plain,
( $false
| ~ spl0_4
| ~ spl0_7
| ~ spl0_17
| spl0_93
| ~ spl0_110
| ~ spl0_120
| ~ spl0_138
| ~ spl0_143
| ~ spl0_189 ),
inference(subsumption_resolution,[],[f37892,f1669]) ).
thf(f37892,plain,
( ( $false = vAPP($o,$o,f0,$false) )
| ~ spl0_4
| ~ spl0_7
| ~ spl0_17
| ~ spl0_110
| ~ spl0_120
| ~ spl0_138
| ~ spl0_143
| ~ spl0_189 ),
inference(forward_demodulation,[],[f37891,f37882]) ).
thf(f37882,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$false)))) )
| ~ spl0_143
| ~ spl0_189 ),
inference(forward_demodulation,[],[f33059,f4461]) ).
thf(f33059,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$true))))) )
| ~ spl0_189 ),
inference(avatar_component_clause,[],[f33057]) ).
thf(f37891,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$false))))) )
| ~ spl0_4
| ~ spl0_7
| ~ spl0_17
| ~ spl0_110
| ~ spl0_120
| ~ spl0_138
| ~ spl0_143 ),
inference(forward_demodulation,[],[f37387,f4461]) ).
thf(f37387,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$true)))))) )
| ~ spl0_4
| ~ spl0_7
| ~ spl0_17
| ~ spl0_110
| ~ spl0_120
| ~ spl0_138 ),
inference(forward_demodulation,[],[f37386,f4314]) ).
thf(f37386,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$false))))))) )
| ~ spl0_4
| ~ spl0_7
| ~ spl0_17
| ~ spl0_110
| ~ spl0_120 ),
inference(forward_demodulation,[],[f37262,f37240]) ).
thf(f37262,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))))))))) )
| ~ spl0_4
| ~ spl0_7
| ~ spl0_110
| ~ spl0_120 ),
inference(forward_demodulation,[],[f37261,f3074]) ).
thf(f37261,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$true)))))))))) )
| ~ spl0_4
| ~ spl0_7
| ~ spl0_110
| ~ spl0_120 ),
inference(forward_demodulation,[],[f37260,f3074]) ).
thf(f37260,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$true))))))))))) )
| ~ spl0_4
| ~ spl0_7
| ~ spl0_110 ),
inference(forward_demodulation,[],[f37259,f2653]) ).
thf(f37259,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$false)))))))))))) )
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f25,f80]) ).
thf(f37880,plain,
( ~ spl0_16
| spl0_20
| ~ spl0_138
| ~ spl0_143 ),
inference(avatar_contradiction_clause,[],[f37879]) ).
thf(f37879,plain,
( $false
| ~ spl0_16
| spl0_20
| ~ spl0_138
| ~ spl0_143 ),
inference(subsumption_resolution,[],[f37851,f37867]) ).
thf(f37867,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$false))))) )
| spl0_20
| ~ spl0_143 ),
inference(forward_demodulation,[],[f137,f4461]) ).
thf(f137,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$true)))))) )
| spl0_20 ),
inference(avatar_component_clause,[],[f136]) ).
thf(f37851,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$false))))) )
| ~ spl0_16
| ~ spl0_138
| ~ spl0_143 ),
inference(forward_demodulation,[],[f37850,f4461]) ).
thf(f37850,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$true)))))) )
| ~ spl0_16
| ~ spl0_138
| ~ spl0_143 ),
inference(forward_demodulation,[],[f37846,f4314]) ).
thf(f37846,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$false))))))) )
| ~ spl0_16
| ~ spl0_143 ),
inference(backward_demodulation,[],[f120,f4461]) ).
thf(f37484,plain,
( spl0_169
| ~ spl0_180
| ~ spl0_184
| ~ spl0_201 ),
inference(avatar_split_clause,[],[f37483,f33309,f31811,f31775,f9659]) ).
thf(f37483,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) )
| ~ spl0_180
| ~ spl0_184
| ~ spl0_201 ),
inference(forward_demodulation,[],[f37482,f31813]) ).
thf(f37482,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))) )
| ~ spl0_180
| ~ spl0_201 ),
inference(forward_demodulation,[],[f33311,f31777]) ).
thf(f37433,plain,
( spl0_102
| ~ spl0_177
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f37072,f31811,f27612,f2235]) ).
thf(f37072,plain,
( ( $false = vAPP($o,$o,f2,$true) )
| ~ spl0_177
| ~ spl0_184 ),
inference(forward_demodulation,[],[f37071,f31813]) ).
thf(f37071,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,$true)) )
| ~ spl0_177
| ~ spl0_184 ),
inference(forward_demodulation,[],[f27614,f31813]) ).
thf(f37267,plain,
( ~ spl0_4
| ~ spl0_7
| spl0_93
| ~ spl0_98
| ~ spl0_103
| ~ spl0_110
| ~ spl0_120 ),
inference(avatar_contradiction_clause,[],[f37266]) ).
thf(f37266,plain,
( $false
| ~ spl0_4
| ~ spl0_7
| spl0_93
| ~ spl0_98
| ~ spl0_103
| ~ spl0_110
| ~ spl0_120 ),
inference(subsumption_resolution,[],[f37265,f1669]) ).
thf(f37265,plain,
( ( $false = vAPP($o,$o,f0,$false) )
| ~ spl0_4
| ~ spl0_7
| ~ spl0_98
| ~ spl0_103
| ~ spl0_110
| ~ spl0_120 ),
inference(forward_demodulation,[],[f37264,f2415]) ).
thf(f37264,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ~ spl0_4
| ~ spl0_7
| ~ spl0_98
| ~ spl0_103
| ~ spl0_110
| ~ spl0_120 ),
inference(forward_demodulation,[],[f37263,f2415]) ).
thf(f37263,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ~ spl0_4
| ~ spl0_7
| ~ spl0_98
| ~ spl0_110
| ~ spl0_120 ),
inference(forward_demodulation,[],[f37262,f37134]) ).
thf(f37134,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$true)))))) )
| ~ spl0_98
| ~ spl0_110
| ~ spl0_120 ),
inference(forward_demodulation,[],[f37133,f3074]) ).
thf(f37133,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$true))))))) )
| ~ spl0_98
| ~ spl0_110
| ~ spl0_120 ),
inference(forward_demodulation,[],[f37123,f3074]) ).
thf(f37123,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$true)))))))) )
| ~ spl0_98
| ~ spl0_110 ),
inference(backward_demodulation,[],[f2073,f2653]) ).
thf(f37083,plain,
( spl0_93
| ~ spl0_98
| ~ spl0_165
| ~ spl0_166
| ~ spl0_168 ),
inference(avatar_contradiction_clause,[],[f37082]) ).
thf(f37082,plain,
( $false
| spl0_93
| ~ spl0_98
| ~ spl0_165
| ~ spl0_166
| ~ spl0_168 ),
inference(subsumption_resolution,[],[f37081,f1669]) ).
thf(f37081,plain,
( ( $false = vAPP($o,$o,f0,$false) )
| ~ spl0_98
| ~ spl0_165
| ~ spl0_166
| ~ spl0_168 ),
inference(forward_demodulation,[],[f37080,f7913]) ).
thf(f37080,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ~ spl0_98
| ~ spl0_165
| ~ spl0_168 ),
inference(forward_demodulation,[],[f37079,f2073]) ).
thf(f37079,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$false)))))))))))) )
| ~ spl0_165
| ~ spl0_168 ),
inference(forward_demodulation,[],[f7637,f9125]) ).
thf(f37057,plain,
( ~ spl0_56
| spl0_74
| ~ spl0_94
| ~ spl0_198 ),
inference(avatar_contradiction_clause,[],[f37056]) ).
thf(f37056,plain,
( $false
| ~ spl0_56
| spl0_74
| ~ spl0_94
| ~ spl0_198 ),
inference(subsumption_resolution,[],[f37055,f1676]) ).
thf(f37055,plain,
( ( $true != vAPP($o,$o,f0,$false) )
| ~ spl0_56
| spl0_74
| ~ spl0_94
| ~ spl0_198 ),
inference(forward_demodulation,[],[f37054,f486]) ).
thf(f37054,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| spl0_74
| ~ spl0_94
| ~ spl0_198 ),
inference(forward_demodulation,[],[f37052,f1676]) ).
thf(f37052,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$false))) )
| spl0_74
| ~ spl0_198 ),
inference(backward_demodulation,[],[f917,f33176]) ).
thf(f917,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))))))) )
| spl0_74 ),
inference(avatar_component_clause,[],[f916]) ).
thf(f37044,plain,
( spl0_89
| ~ spl0_11
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f34303,f105,f96,f1410]) ).
thf(f105,plain,
( spl0_13
<=> ( vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,x)))) = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
thf(f34303,plain,
( ( $false = vAPP($o,$o,f5,$false) )
| ~ spl0_11
| ~ spl0_13 ),
inference(backward_demodulation,[],[f107,f98]) ).
thf(f107,plain,
( ( vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,x)))) = $false )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f105]) ).
thf(f37033,plain,
( ~ spl0_66
| spl0_61
| ~ spl0_120 ),
inference(avatar_split_clause,[],[f36990,f3072,f725,f838]) ).
thf(f36990,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$true))))))))))) )
| spl0_61
| ~ spl0_120 ),
inference(forward_demodulation,[],[f726,f3074]) ).
thf(f726,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,$true)))))))))))) )
| spl0_61 ),
inference(avatar_component_clause,[],[f725]) ).
thf(f37032,plain,
( spl0_45
| ~ spl0_43
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f35800,f31775,f404,f419]) ).
thf(f35800,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))))))) )
| ~ spl0_43
| ~ spl0_180 ),
inference(forward_demodulation,[],[f406,f31777]) ).
thf(f406,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$true)))))))) )
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f404]) ).
thf(f36906,plain,
( spl0_179
| spl0_26
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f35833,f145,f163,f30575]) ).
thf(f35833,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,$true)) )
| ~ spl0_22 ),
inference(superposition,[],[f147,f4]) ).
thf(f36904,plain,
( ~ spl0_179
| spl0_102
| spl0_197 ),
inference(avatar_split_clause,[],[f36903,f33151,f2235,f30575]) ).
thf(f36903,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,$true)) )
| spl0_102
| spl0_197 ),
inference(subsumption_resolution,[],[f36574,f2236]) ).
thf(f36574,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,$true)) )
| ( $false = vAPP($o,$o,f2,$true) )
| spl0_197 ),
inference(superposition,[],[f33152,f4]) ).
thf(f36895,plain,
( ~ spl0_95
| spl0_160
| spl0_173 ),
inference(avatar_split_clause,[],[f36554,f19783,f6325,f1748]) ).
thf(f6325,plain,
( spl0_160
<=> ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$false))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).
thf(f36554,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| spl0_160
| spl0_173 ),
inference(subsumption_resolution,[],[f36539,f19784]) ).
thf(f36539,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ( $false = vAPP($o,$o,f2,$false) )
| spl0_160 ),
inference(superposition,[],[f6326,f4]) ).
thf(f6326,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$false))) )
| spl0_160 ),
inference(avatar_component_clause,[],[f6325]) ).
thf(f36893,plain,
( spl0_51
| ~ spl0_45
| spl0_177 ),
inference(avatar_split_clause,[],[f36696,f27612,f419,f458]) ).
thf(f36696,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ~ spl0_45
| spl0_177 ),
inference(subsumption_resolution,[],[f36597,f27613]) ).
thf(f36597,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))) )
| ~ spl0_45 ),
inference(superposition,[],[f421,f4]) ).
thf(f421,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))))))) )
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f419]) ).
thf(f36892,plain,
( ~ spl0_104
| spl0_144
| spl0_197 ),
inference(avatar_split_clause,[],[f36891,f33151,f4476,f2417]) ).
thf(f36891,plain,
( ( $false != vAPP($o,$o,f1,$true) )
| spl0_144
| spl0_197 ),
inference(subsumption_resolution,[],[f36575,f4478]) ).
thf(f4478,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f2,$true)) )
| spl0_144 ),
inference(avatar_component_clause,[],[f4476]) ).
thf(f36575,plain,
( ( $false != vAPP($o,$o,f1,$true) )
| ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,$true)) )
| spl0_197 ),
inference(superposition,[],[f33152,f4]) ).
thf(f36888,plain,
( spl0_193
| ~ spl0_56
| spl0_158 ),
inference(avatar_split_clause,[],[f35875,f6236,f484,f33084]) ).
thf(f35875,plain,
( ( $false != vAPP($o,$o,f0,$true) )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$true)))) )
| spl0_158 ),
inference(superposition,[],[f6237,f4]) ).
thf(f36887,plain,
( spl0_174
| ~ spl0_56
| spl0_160 ),
inference(avatar_split_clause,[],[f36543,f6325,f484,f22938]) ).
thf(f36543,plain,
( ( $false != vAPP($o,$o,f0,$true) )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,$false)) )
| spl0_160 ),
inference(superposition,[],[f6326,f4]) ).
thf(f36872,plain,
( spl0_193
| spl0_30
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f35839,f145,f181,f33084]) ).
thf(f35839,plain,
( ( $true = vAPP($o,$o,f0,$true) )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$true)))) )
| ~ spl0_22 ),
inference(superposition,[],[f147,f4]) ).
thf(f36871,plain,
( spl0_37
| ~ spl0_45
| spl0_144
| ~ spl0_190 ),
inference(avatar_split_clause,[],[f36692,f33062,f4476,f419,f362]) ).
thf(f362,plain,
( spl0_37
<=> ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
thf(f36692,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ~ spl0_45
| spl0_144
| ~ spl0_190 ),
inference(forward_demodulation,[],[f36691,f33064]) ).
thf(f36691,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))))) )
| ~ spl0_45
| spl0_144 ),
inference(subsumption_resolution,[],[f36596,f4478]) ).
thf(f36596,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))))) )
| ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,$true)) )
| ~ spl0_45 ),
inference(superposition,[],[f421,f4]) ).
thf(f36870,plain,
( spl0_53
| ~ spl0_45
| spl0_198 ),
inference(avatar_split_clause,[],[f36710,f33174,f419,f469]) ).
thf(f36710,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ~ spl0_45
| spl0_198 ),
inference(subsumption_resolution,[],[f36601,f33175]) ).
thf(f36601,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true)))) )
| ~ spl0_45 ),
inference(superposition,[],[f421,f4]) ).
thf(f36867,plain,
( ~ spl0_7
| ~ spl0_45
| ~ spl0_69
| ~ spl0_71
| spl0_83
| spl0_93
| ~ spl0_94
| ~ spl0_138 ),
inference(avatar_contradiction_clause,[],[f36866]) ).
thf(f36866,plain,
( $false
| ~ spl0_7
| ~ spl0_45
| ~ spl0_69
| ~ spl0_71
| spl0_83
| spl0_93
| ~ spl0_94
| ~ spl0_138 ),
inference(subsumption_resolution,[],[f36865,f1676]) ).
thf(f36865,plain,
( ( $true != vAPP($o,$o,f0,$false) )
| ~ spl0_7
| ~ spl0_45
| ~ spl0_69
| ~ spl0_71
| spl0_83
| spl0_93
| ~ spl0_94
| ~ spl0_138 ),
inference(forward_demodulation,[],[f34841,f36857]) ).
thf(f36857,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))))) )
| ~ spl0_45
| spl0_93
| ~ spl0_94 ),
inference(subsumption_resolution,[],[f36856,f36662]) ).
thf(f36662,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true)))))) )
| ~ spl0_45
| ~ spl0_94 ),
inference(trivial_inequality_removal,[],[f36625]) ).
thf(f36625,plain,
( ( $true = $false )
| ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true)))))) )
| ~ spl0_45
| ~ spl0_94 ),
inference(constrained_superposition,[],[f1676,f421]) ).
thf(f36856,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))))) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true)))))) )
| ~ spl0_45
| spl0_93 ),
inference(subsumption_resolution,[],[f36677,f1669]) ).
thf(f36677,plain,
( ( $false = vAPP($o,$o,f0,$false) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))))) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true)))))) )
| ~ spl0_45 ),
inference(binary_proxy_clausification,[],[f36614]) ).
thf(f36614,plain,
( ( $false = vAPP($o,$o,f0,$false) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))))) != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true)))))) )
| ~ spl0_45 ),
inference(constrained_superposition,[],[f421,f421]) ).
thf(f34841,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true)))))) )
| ~ spl0_7
| ~ spl0_69
| ~ spl0_71
| spl0_83
| ~ spl0_138 ),
inference(forward_demodulation,[],[f34840,f4314]) ).
thf(f34840,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$false))))))) )
| ~ spl0_7
| ~ spl0_69
| ~ spl0_71
| spl0_83 ),
inference(forward_demodulation,[],[f34839,f1056]) ).
thf(f34839,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))))))) )
| ~ spl0_7
| ~ spl0_69
| spl0_83 ),
inference(forward_demodulation,[],[f34838,f34822]) ).
thf(f34838,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$false))))))))))))) )
| ~ spl0_7
| spl0_83 ),
inference(forward_demodulation,[],[f988,f80]) ).
thf(f988,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x)))))))))))))) != $true )
| spl0_83 ),
inference(avatar_component_clause,[],[f987]) ).
thf(f987,plain,
( spl0_83
<=> ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x)))))))))))))) = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
thf(f36765,plain,
( spl0_188
| ~ spl0_22
| ~ spl0_30
| ~ spl0_45
| spl0_56 ),
inference(avatar_split_clause,[],[f36764,f484,f419,f181,f145,f33051]) ).
thf(f36764,plain,
( ( $true = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$true)))) )
| ~ spl0_22
| ~ spl0_30
| ~ spl0_45
| spl0_56 ),
inference(trivial_inequality_removal,[],[f36763]) ).
thf(f36763,plain,
( ( $true = $false )
| ( $true = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$true)))) )
| ~ spl0_22
| ~ spl0_30
| ~ spl0_45
| spl0_56 ),
inference(forward_demodulation,[],[f36762,f36748]) ).
thf(f36748,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))))) )
| ~ spl0_30
| ~ spl0_45
| spl0_56 ),
inference(subsumption_resolution,[],[f36747,f485]) ).
thf(f36747,plain,
( ( $false = vAPP($o,$o,f0,$true) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))))) )
| ~ spl0_30
| ~ spl0_45 ),
inference(forward_demodulation,[],[f36608,f183]) ).
thf(f36608,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))))) )
| ~ spl0_45 ),
inference(superposition,[],[f421,f4]) ).
thf(f36762,plain,
( ( $true = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$true)))) )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))))) )
| ~ spl0_22
| ~ spl0_45
| spl0_56 ),
inference(subsumption_resolution,[],[f36680,f485]) ).
thf(f36680,plain,
( ( $false = vAPP($o,$o,f0,$true) )
| ( $true = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$true)))) )
| ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))))) )
| ~ spl0_22
| ~ spl0_45 ),
inference(binary_proxy_clausification,[],[f36612]) ).
thf(f36612,plain,
( ( $false = vAPP($o,$o,f0,$true) )
| ( vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$true)))) != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))))) )
| ~ spl0_22
| ~ spl0_45 ),
inference(constrained_superposition,[],[f421,f147]) ).
thf(f36701,plain,
( ~ spl0_30
| ~ spl0_45
| spl0_56
| ~ spl0_150
| spl0_177 ),
inference(avatar_contradiction_clause,[],[f36700]) ).
thf(f36700,plain,
( $false
| ~ spl0_30
| ~ spl0_45
| spl0_56
| ~ spl0_150
| spl0_177 ),
inference(subsumption_resolution,[],[f36699,f485]) ).
thf(f36699,plain,
( ( $false = vAPP($o,$o,f0,$true) )
| ~ spl0_30
| ~ spl0_45
| ~ spl0_150
| spl0_177 ),
inference(forward_demodulation,[],[f36698,f183]) ).
thf(f36698,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ~ spl0_30
| ~ spl0_45
| ~ spl0_150
| spl0_177 ),
inference(forward_demodulation,[],[f36697,f183]) ).
thf(f36697,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ~ spl0_45
| ~ spl0_150
| spl0_177 ),
inference(forward_demodulation,[],[f36696,f5115]) ).
thf(f36695,plain,
( ~ spl0_30
| ~ spl0_45
| spl0_56
| spl0_144
| ~ spl0_190 ),
inference(avatar_contradiction_clause,[],[f36694]) ).
thf(f36694,plain,
( $false
| ~ spl0_30
| ~ spl0_45
| spl0_56
| spl0_144
| ~ spl0_190 ),
inference(subsumption_resolution,[],[f36693,f485]) ).
thf(f36693,plain,
( ( $false = vAPP($o,$o,f0,$true) )
| ~ spl0_30
| ~ spl0_45
| spl0_144
| ~ spl0_190 ),
inference(forward_demodulation,[],[f36692,f183]) ).
thf(f36444,plain,
( spl0_47
| spl0_76 ),
inference(avatar_contradiction_clause,[],[f36443]) ).
thf(f36443,plain,
( $false
| spl0_47
| spl0_76 ),
inference(subsumption_resolution,[],[f36363,f434]) ).
thf(f36363,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true)))))) )
| spl0_76 ),
inference(trivial_inequality_removal,[],[f36362]) ).
thf(f36362,plain,
( ( $true != $true )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true)))))) )
| spl0_76 ),
inference(superposition,[],[f934,f4]) ).
thf(f934,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true)))))) )
| spl0_76 ),
inference(avatar_component_clause,[],[f933]) ).
thf(f36407,plain,
( ~ spl0_30
| spl0_76
| spl0_197 ),
inference(avatar_contradiction_clause,[],[f36406]) ).
thf(f36406,plain,
( $false
| ~ spl0_30
| spl0_76
| spl0_197 ),
inference(subsumption_resolution,[],[f36405,f183]) ).
thf(f36405,plain,
( ( $true != vAPP($o,$o,f0,$true) )
| ~ spl0_30
| spl0_76
| spl0_197 ),
inference(forward_demodulation,[],[f36404,f183]) ).
thf(f36404,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ~ spl0_30
| spl0_76
| spl0_197 ),
inference(subsumption_resolution,[],[f36348,f33152]) ).
thf(f36348,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))) )
| ~ spl0_30
| spl0_76 ),
inference(superposition,[],[f934,f35660]) ).
thf(f35660,plain,
( ! [X0: $o] :
( ( $true = vAPP($o,$o,f0,X0) )
| ( $false = X0 ) )
| ~ spl0_30 ),
inference(duplicate_literal_removal,[],[f35658]) ).
thf(f35658,plain,
( ! [X0: $o] :
( ( $true = vAPP($o,$o,f0,X0) )
| ( $false = X0 )
| ( $false = X0 ) )
| ~ spl0_30 ),
inference(binary_proxy_clausification,[],[f35655]) ).
thf(f35655,plain,
( ! [X0: $o] :
( ( vAPP($o,$o,f0,X0) = X0 )
| ( $false = X0 ) )
| ~ spl0_30 ),
inference(superposition,[],[f183,f4]) ).
thf(f36294,plain,
( spl0_104
| spl0_173
| ~ spl0_174 ),
inference(avatar_contradiction_clause,[],[f36293]) ).
thf(f36293,plain,
( $false
| spl0_104
| spl0_173
| ~ spl0_174 ),
inference(subsumption_resolution,[],[f36281,f19784]) ).
thf(f36281,plain,
( ( $false = vAPP($o,$o,f2,$false) )
| spl0_104
| ~ spl0_174 ),
inference(trivial_inequality_removal,[],[f36255]) ).
thf(f36255,plain,
( ( $false != $false )
| ( $false = vAPP($o,$o,f2,$false) )
| spl0_104
| ~ spl0_174 ),
inference(superposition,[],[f35676,f22940]) ).
thf(f35676,plain,
( ! [X0: $o] :
( ( $false != vAPP($o,$o,f1,X0) )
| ( $false = X0 ) )
| spl0_104 ),
inference(superposition,[],[f2418,f4]) ).
thf(f36215,plain,
( spl0_102
| ~ spl0_139
| spl0_144
| spl0_173 ),
inference(avatar_contradiction_clause,[],[f36214]) ).
thf(f36214,plain,
( $false
| spl0_102
| ~ spl0_139
| spl0_144
| spl0_173 ),
inference(subsumption_resolution,[],[f36213,f19784]) ).
thf(f36213,plain,
( ( $false = vAPP($o,$o,f2,$false) )
| spl0_102
| ~ spl0_139
| spl0_144 ),
inference(subsumption_resolution,[],[f36181,f2236]) ).
thf(f36181,plain,
( ( $false = vAPP($o,$o,f2,$true) )
| ( $false = vAPP($o,$o,f2,$false) )
| ~ spl0_139
| spl0_144 ),
inference(binary_proxy_clausification,[],[f36179]) ).
thf(f36179,plain,
( ( vAPP($o,$o,f2,$true) != vAPP($o,$o,f2,$false) )
| ~ spl0_139
| spl0_144 ),
inference(trivial_inequality_removal,[],[f36174]) ).
thf(f36174,plain,
( ( $false != $false )
| ( vAPP($o,$o,f2,$true) != vAPP($o,$o,f2,$false) )
| ~ spl0_139
| spl0_144 ),
inference(constrained_superposition,[],[f4478,f4317]) ).
thf(f36192,plain,
( spl0_102
| ~ spl0_139
| spl0_173 ),
inference(avatar_contradiction_clause,[],[f36191]) ).
thf(f36191,plain,
( $false
| spl0_102
| ~ spl0_139
| spl0_173 ),
inference(subsumption_resolution,[],[f36186,f19784]) ).
thf(f36186,plain,
( ( $false = vAPP($o,$o,f2,$false) )
| spl0_102
| ~ spl0_139 ),
inference(trivial_inequality_removal,[],[f36166]) ).
thf(f36166,plain,
( ( $false != $false )
| ( $false = vAPP($o,$o,f2,$false) )
| spl0_102
| ~ spl0_139 ),
inference(superposition,[],[f35666,f4317]) ).
thf(f35666,plain,
( ! [X0: $o] :
( ( $false != vAPP($o,$o,f2,X0) )
| ( $false = X0 ) )
| spl0_102 ),
inference(superposition,[],[f2236,f4]) ).
thf(f36030,plain,
( ~ spl0_185
| ~ spl0_30
| ~ spl0_47
| spl0_56 ),
inference(avatar_split_clause,[],[f36029,f484,f433,f181,f33037]) ).
thf(f36029,plain,
( ( $true != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))) )
| ~ spl0_30
| ~ spl0_47
| spl0_56 ),
inference(subsumption_resolution,[],[f36028,f485]) ).
thf(f36028,plain,
( ( $false = vAPP($o,$o,f0,$true) )
| ( $true != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))) )
| ~ spl0_30
| ~ spl0_47 ),
inference(forward_demodulation,[],[f35949,f183]) ).
thf(f35949,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( $true != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))) )
| ~ spl0_30
| ~ spl0_47 ),
inference(constrained_superposition,[],[f435,f183]) ).
thf(f435,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true)))))) )
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f433]) ).
thf(f36027,plain,
( ~ spl0_30
| ~ spl0_47
| spl0_56
| spl0_197 ),
inference(avatar_contradiction_clause,[],[f36026]) ).
thf(f36026,plain,
( $false
| ~ spl0_30
| ~ spl0_47
| spl0_56
| spl0_197 ),
inference(subsumption_resolution,[],[f36025,f485]) ).
thf(f36025,plain,
( ( $false = vAPP($o,$o,f0,$true) )
| ~ spl0_30
| ~ spl0_47
| spl0_197 ),
inference(forward_demodulation,[],[f36024,f183]) ).
thf(f36024,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ~ spl0_30
| ~ spl0_47
| spl0_197 ),
inference(subsumption_resolution,[],[f35947,f33152]) ).
thf(f35947,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))) )
| ~ spl0_30
| ~ spl0_47 ),
inference(superposition,[],[f435,f35660]) ).
thf(f36018,plain,
( ~ spl0_182
| ~ spl0_30
| ~ spl0_47
| spl0_56
| ~ spl0_150 ),
inference(avatar_split_clause,[],[f36017,f5113,f484,f433,f181,f31783]) ).
thf(f36017,plain,
( ( $true != vAPP($o,$o,f2,vAPP($o,$o,f2,$true)) )
| ~ spl0_30
| ~ spl0_47
| spl0_56
| ~ spl0_150 ),
inference(subsumption_resolution,[],[f36016,f485]) ).
thf(f36016,plain,
( ( $false = vAPP($o,$o,f0,$true) )
| ( $true != vAPP($o,$o,f2,vAPP($o,$o,f2,$true)) )
| ~ spl0_30
| ~ spl0_47
| ~ spl0_150 ),
inference(forward_demodulation,[],[f36015,f183]) ).
thf(f36015,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( $true != vAPP($o,$o,f2,vAPP($o,$o,f2,$true)) )
| ~ spl0_30
| ~ spl0_47
| ~ spl0_150 ),
inference(forward_demodulation,[],[f35945,f183]) ).
thf(f35945,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( $true != vAPP($o,$o,f2,vAPP($o,$o,f2,$true)) )
| ~ spl0_47
| ~ spl0_150 ),
inference(constrained_superposition,[],[f435,f5115]) ).
thf(f36009,plain,
( ~ spl0_30
| ~ spl0_47
| spl0_56
| spl0_144
| ~ spl0_150 ),
inference(avatar_contradiction_clause,[],[f36008]) ).
thf(f36008,plain,
( $false
| ~ spl0_30
| ~ spl0_47
| spl0_56
| spl0_144
| ~ spl0_150 ),
inference(subsumption_resolution,[],[f36007,f485]) ).
thf(f36007,plain,
( ( $false = vAPP($o,$o,f0,$true) )
| ~ spl0_30
| ~ spl0_47
| spl0_144
| ~ spl0_150 ),
inference(forward_demodulation,[],[f36006,f183]) ).
thf(f36006,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ~ spl0_30
| ~ spl0_47
| spl0_144
| ~ spl0_150 ),
inference(forward_demodulation,[],[f36005,f183]) ).
thf(f36005,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ~ spl0_47
| spl0_144
| ~ spl0_150 ),
inference(forward_demodulation,[],[f36004,f5115]) ).
thf(f36004,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ~ spl0_47
| spl0_144 ),
inference(subsumption_resolution,[],[f35942,f4478]) ).
thf(f35942,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,$true)) )
| ~ spl0_47 ),
inference(superposition,[],[f435,f4]) ).
thf(f35794,plain,
( ~ spl0_103
| spl0_167
| ~ spl0_180
| ~ spl0_200 ),
inference(avatar_contradiction_clause,[],[f35793]) ).
thf(f35793,plain,
( $false
| ~ spl0_103
| spl0_167
| ~ spl0_180
| ~ spl0_200 ),
inference(subsumption_resolution,[],[f35792,f2415]) ).
thf(f35792,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| spl0_167
| ~ spl0_180
| ~ spl0_200 ),
inference(forward_demodulation,[],[f35791,f33215]) ).
thf(f35791,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$true)))) )
| spl0_167
| ~ spl0_180 ),
inference(forward_demodulation,[],[f35775,f31777]) ).
thf(f35775,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$true))))) )
| spl0_167
| ~ spl0_180 ),
inference(backward_demodulation,[],[f8069,f31777]) ).
thf(f35769,plain,
( spl0_143
| spl0_180 ),
inference(avatar_contradiction_clause,[],[f35768]) ).
thf(f35768,plain,
( $false
| spl0_143
| spl0_180 ),
inference(subsumption_resolution,[],[f35761,f4460]) ).
thf(f35761,plain,
( ( $false = vAPP($o,$o,f3,$true) )
| spl0_180 ),
inference(trivial_inequality_removal,[],[f35760]) ).
thf(f35760,plain,
( ( $true != $true )
| ( $false = vAPP($o,$o,f3,$true) )
| spl0_180 ),
inference(superposition,[],[f31776,f4]) ).
thf(f31776,plain,
( ( $true != vAPP($o,$o,f3,$true) )
| spl0_180 ),
inference(avatar_component_clause,[],[f31775]) ).
thf(f35637,plain,
( spl0_167
| ~ spl0_15
| ~ spl0_29
| ~ spl0_138 ),
inference(avatar_split_clause,[],[f34279,f4312,f177,f114,f8068]) ).
thf(f34279,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$true)))))) )
| ~ spl0_15
| ~ spl0_29
| ~ spl0_138 ),
inference(forward_demodulation,[],[f34278,f4314]) ).
thf(f34278,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$false))))))) )
| ~ spl0_15
| ~ spl0_29 ),
inference(forward_demodulation,[],[f179,f116]) ).
thf(f35605,plain,
( ~ spl0_94
| ~ spl0_179
| spl0_190 ),
inference(avatar_contradiction_clause,[],[f35604]) ).
thf(f35604,plain,
( $false
| ~ spl0_94
| ~ spl0_179
| spl0_190 ),
inference(subsumption_resolution,[],[f35603,f1676]) ).
thf(f35603,plain,
( ( $true != vAPP($o,$o,f0,$false) )
| ~ spl0_179
| spl0_190 ),
inference(forward_demodulation,[],[f33063,f30576]) ).
thf(f35532,plain,
( spl0_30
| ~ spl0_24
| ~ spl0_150 ),
inference(avatar_split_clause,[],[f35531,f5113,f154,f181]) ).
thf(f35531,plain,
( ( $true = vAPP($o,$o,f0,$true) )
| ~ spl0_24
| ~ spl0_150 ),
inference(forward_demodulation,[],[f35530,f5115]) ).
thf(f35530,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ~ spl0_24
| ~ spl0_150 ),
inference(forward_demodulation,[],[f35523,f5115]) ).
thf(f35523,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) )
| ~ spl0_24
| ~ spl0_150 ),
inference(backward_demodulation,[],[f156,f5115]) ).
thf(f156,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$true)))) )
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f154]) ).
thf(f35507,plain,
( ~ spl0_178
| ~ spl0_7
| spl0_23
| ~ spl0_69
| ~ spl0_71
| ~ spl0_89
| ~ spl0_138 ),
inference(avatar_split_clause,[],[f35480,f4312,f1410,f894,f875,f150,f78,f27616]) ).
thf(f35480,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$true))) )
| ~ spl0_7
| spl0_23
| ~ spl0_69
| ~ spl0_71
| ~ spl0_89
| ~ spl0_138 ),
inference(forward_demodulation,[],[f35479,f4314]) ).
thf(f35479,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$false)))) )
| ~ spl0_7
| spl0_23
| ~ spl0_69
| ~ spl0_71
| ~ spl0_89 ),
inference(forward_demodulation,[],[f35478,f1056]) ).
thf(f35478,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))) )
| ~ spl0_7
| spl0_23
| ~ spl0_89 ),
inference(forward_demodulation,[],[f35477,f1412]) ).
thf(f35477,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$false)))))) )
| ~ spl0_7
| spl0_23
| ~ spl0_89 ),
inference(forward_demodulation,[],[f35476,f1412]) ).
thf(f35476,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false))))))) )
| ~ spl0_7
| spl0_23
| ~ spl0_89 ),
inference(forward_demodulation,[],[f35475,f1412]) ).
thf(f35475,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$false)))))))) )
| ~ spl0_7
| spl0_23 ),
inference(forward_demodulation,[],[f151,f80]) ).
thf(f35245,plain,
( ~ spl0_31
| spl0_36
| ~ spl0_56
| ~ spl0_58
| ~ spl0_94
| ~ spl0_105
| ~ spl0_120 ),
inference(avatar_contradiction_clause,[],[f35244]) ).
thf(f35244,plain,
( $false
| ~ spl0_31
| spl0_36
| ~ spl0_56
| ~ spl0_58
| ~ spl0_94
| ~ spl0_105
| ~ spl0_120 ),
inference(subsumption_resolution,[],[f35243,f486]) ).
thf(f35243,plain,
( ( $false != vAPP($o,$o,f0,$true) )
| ~ spl0_31
| spl0_36
| ~ spl0_58
| ~ spl0_94
| ~ spl0_105
| ~ spl0_120 ),
inference(forward_demodulation,[],[f35238,f1676]) ).
thf(f35238,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,$false)) )
| ~ spl0_31
| spl0_36
| ~ spl0_58
| ~ spl0_105
| ~ spl0_120 ),
inference(backward_demodulation,[],[f350,f35236]) ).
thf(f35236,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$true))))))))) )
| ~ spl0_31
| ~ spl0_58
| ~ spl0_105
| ~ spl0_120 ),
inference(forward_demodulation,[],[f35222,f3074]) ).
thf(f35222,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,$true)))))))))) )
| ~ spl0_31
| ~ spl0_58
| ~ spl0_105 ),
inference(backward_demodulation,[],[f35130,f2568]) ).
thf(f35130,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,$false))))))))))) )
| ~ spl0_31
| ~ spl0_58 ),
inference(backward_demodulation,[],[f497,f329]) ).
thf(f497,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,$false))))))))))))) )
| ~ spl0_58 ),
inference(avatar_component_clause,[],[f495]) ).
thf(f35157,plain,
( spl0_178
| ~ spl0_7
| ~ spl0_23
| ~ spl0_69
| ~ spl0_71
| ~ spl0_89
| ~ spl0_138 ),
inference(avatar_split_clause,[],[f35085,f4312,f1410,f894,f875,f150,f78,f27616]) ).
thf(f35085,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$true))) )
| ~ spl0_7
| ~ spl0_23
| ~ spl0_69
| ~ spl0_71
| ~ spl0_89
| ~ spl0_138 ),
inference(forward_demodulation,[],[f35084,f4314]) ).
thf(f35084,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$false)))) )
| ~ spl0_7
| ~ spl0_23
| ~ spl0_69
| ~ spl0_71
| ~ spl0_89 ),
inference(forward_demodulation,[],[f35083,f1056]) ).
thf(f35083,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))) )
| ~ spl0_7
| ~ spl0_23
| ~ spl0_89 ),
inference(forward_demodulation,[],[f35082,f1412]) ).
thf(f35082,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$false)))))) )
| ~ spl0_7
| ~ spl0_23
| ~ spl0_89 ),
inference(forward_demodulation,[],[f35081,f1412]) ).
thf(f35081,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false))))))) )
| ~ spl0_7
| ~ spl0_23
| ~ spl0_89 ),
inference(forward_demodulation,[],[f35080,f1412]) ).
thf(f35080,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$false)))))))) )
| ~ spl0_7
| ~ spl0_23 ),
inference(forward_demodulation,[],[f152,f80]) ).
thf(f35148,plain,
( ~ spl0_31
| ~ spl0_56
| ~ spl0_58
| ~ spl0_92
| ~ spl0_94
| ~ spl0_168 ),
inference(avatar_contradiction_clause,[],[f35147]) ).
thf(f35147,plain,
( $false
| ~ spl0_31
| ~ spl0_56
| ~ spl0_58
| ~ spl0_92
| ~ spl0_94
| ~ spl0_168 ),
inference(trivial_inequality_removal,[],[f35146]) ).
thf(f35146,plain,
( ( $true = $false )
| ~ spl0_31
| ~ spl0_56
| ~ spl0_58
| ~ spl0_92
| ~ spl0_94
| ~ spl0_168 ),
inference(forward_demodulation,[],[f35145,f486]) ).
thf(f35145,plain,
( ( $true = vAPP($o,$o,f0,$true) )
| ~ spl0_31
| ~ spl0_58
| ~ spl0_92
| ~ spl0_94
| ~ spl0_168 ),
inference(forward_demodulation,[],[f35144,f1676]) ).
thf(f35144,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,$false)) )
| ~ spl0_31
| ~ spl0_58
| ~ spl0_92
| ~ spl0_168 ),
inference(forward_demodulation,[],[f34420,f35130]) ).
thf(f34420,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,$false))))))))))))) )
| ~ spl0_92
| ~ spl0_168 ),
inference(forward_demodulation,[],[f1665,f9125]) ).
thf(f1665,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$true)))))))))))))) )
| ~ spl0_92 ),
inference(avatar_component_clause,[],[f1663]) ).
thf(f1663,plain,
( spl0_92
<=> ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$true)))))))))))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).
thf(f35120,plain,
( ~ spl0_7
| ~ spl0_67
| ~ spl0_69
| ~ spl0_71
| ~ spl0_81
| ~ spl0_138
| spl0_198 ),
inference(avatar_contradiction_clause,[],[f35119]) ).
thf(f35119,plain,
( $false
| ~ spl0_7
| ~ spl0_67
| ~ spl0_69
| ~ spl0_71
| ~ spl0_81
| ~ spl0_138
| spl0_198 ),
inference(subsumption_resolution,[],[f35118,f33175]) ).
thf(f35118,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true)))) )
| ~ spl0_7
| ~ spl0_67
| ~ spl0_69
| ~ spl0_71
| ~ spl0_81
| ~ spl0_138 ),
inference(forward_demodulation,[],[f35117,f4314]) ).
thf(f35117,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$false))))) )
| ~ spl0_7
| ~ spl0_67
| ~ spl0_69
| ~ spl0_71
| ~ spl0_81 ),
inference(forward_demodulation,[],[f35116,f1056]) ).
thf(f35116,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))))) )
| ~ spl0_7
| ~ spl0_67
| ~ spl0_69
| ~ spl0_71
| ~ spl0_81 ),
inference(forward_demodulation,[],[f35115,f1056]) ).
thf(f35115,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$false))))))) )
| ~ spl0_7
| ~ spl0_67
| ~ spl0_81 ),
inference(forward_demodulation,[],[f34813,f35032]) ).
thf(f35032,plain,
( ( $false = vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$false)))) )
| ~ spl0_7
| ~ spl0_67 ),
inference(forward_demodulation,[],[f857,f80]) ).
thf(f34813,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$false))))))))))) )
| ~ spl0_7
| ~ spl0_81 ),
inference(forward_demodulation,[],[f976,f80]) ).
thf(f35064,plain,
( ~ spl0_47
| ~ spl0_56
| spl0_93
| ~ spl0_196 ),
inference(avatar_contradiction_clause,[],[f35063]) ).
thf(f35063,plain,
( $false
| ~ spl0_47
| ~ spl0_56
| spl0_93
| ~ spl0_196 ),
inference(subsumption_resolution,[],[f35062,f1669]) ).
thf(f35062,plain,
( ( $false = vAPP($o,$o,f0,$false) )
| ~ spl0_47
| ~ spl0_56
| ~ spl0_196 ),
inference(forward_demodulation,[],[f35061,f486]) ).
thf(f35061,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ~ spl0_47
| ~ spl0_196 ),
inference(forward_demodulation,[],[f435,f33129]) ).
thf(f33129,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true)))) )
| ~ spl0_196 ),
inference(avatar_component_clause,[],[f33127]) ).
thf(f34827,plain,
( ~ spl0_7
| ~ spl0_69
| ~ spl0_71
| ~ spl0_79
| ~ spl0_138
| spl0_177 ),
inference(avatar_contradiction_clause,[],[f34826]) ).
thf(f34826,plain,
( $false
| ~ spl0_7
| ~ spl0_69
| ~ spl0_71
| ~ spl0_79
| ~ spl0_138
| spl0_177 ),
inference(subsumption_resolution,[],[f34825,f27613]) ).
thf(f34825,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))) )
| ~ spl0_7
| ~ spl0_69
| ~ spl0_71
| ~ spl0_79
| ~ spl0_138 ),
inference(forward_demodulation,[],[f34824,f4314]) ).
thf(f34824,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$false)))) )
| ~ spl0_7
| ~ spl0_69
| ~ spl0_71
| ~ spl0_79 ),
inference(forward_demodulation,[],[f34823,f1056]) ).
thf(f34823,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))) )
| ~ spl0_7
| ~ spl0_69
| ~ spl0_79 ),
inference(backward_demodulation,[],[f34812,f34822]) ).
thf(f34812,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$false)))))))))) )
| ~ spl0_7
| ~ spl0_79 ),
inference(forward_demodulation,[],[f962,f80]) ).
thf(f34806,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_31
| ~ spl0_56
| ~ spl0_69
| ~ spl0_71
| ~ spl0_89
| spl0_93
| ~ spl0_94
| ~ spl0_138
| ~ spl0_198 ),
inference(avatar_contradiction_clause,[],[f34805]) ).
thf(f34805,plain,
( $false
| ~ spl0_3
| ~ spl0_7
| ~ spl0_31
| ~ spl0_56
| ~ spl0_69
| ~ spl0_71
| ~ spl0_89
| spl0_93
| ~ spl0_94
| ~ spl0_138
| ~ spl0_198 ),
inference(subsumption_resolution,[],[f34804,f1669]) ).
thf(f34804,plain,
( ( $false = vAPP($o,$o,f0,$false) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_31
| ~ spl0_56
| ~ spl0_69
| ~ spl0_71
| ~ spl0_89
| ~ spl0_94
| ~ spl0_138
| ~ spl0_198 ),
inference(forward_demodulation,[],[f34803,f486]) ).
thf(f34803,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_31
| ~ spl0_69
| ~ spl0_71
| ~ spl0_89
| ~ spl0_94
| ~ spl0_138
| ~ spl0_198 ),
inference(forward_demodulation,[],[f34802,f1676]) ).
thf(f34802,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$false))) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_31
| ~ spl0_69
| ~ spl0_71
| ~ spl0_89
| ~ spl0_138
| ~ spl0_198 ),
inference(forward_demodulation,[],[f34398,f33176]) ).
thf(f34398,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))))))) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_31
| ~ spl0_69
| ~ spl0_71
| ~ spl0_89
| ~ spl0_138 ),
inference(forward_demodulation,[],[f34397,f4314]) ).
thf(f34397,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$false)))))))) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_31
| ~ spl0_69
| ~ spl0_71
| ~ spl0_89 ),
inference(forward_demodulation,[],[f34396,f1056]) ).
thf(f34396,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))))))) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_31
| ~ spl0_69
| ~ spl0_71
| ~ spl0_89 ),
inference(forward_demodulation,[],[f34395,f1056]) ).
thf(f34395,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$false)))))))))) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_31
| ~ spl0_69
| ~ spl0_71
| ~ spl0_89 ),
inference(forward_demodulation,[],[f34394,f1056]) ).
thf(f34394,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$false))))))))))) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_31
| ~ spl0_89 ),
inference(forward_demodulation,[],[f34393,f1412]) ).
thf(f34393,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,$false)))))))))))) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_31 ),
inference(backward_demodulation,[],[f34349,f329]) ).
thf(f34349,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$false)))))))))))))) )
| ~ spl0_3
| ~ spl0_7 ),
inference(forward_demodulation,[],[f21,f80]) ).
thf(f34134,plain,
( ~ spl0_154
| spl0_156
| ~ spl0_166
| ~ spl0_178 ),
inference(avatar_split_clause,[],[f34133,f27616,f7911,f6222,f5828]) ).
thf(f34133,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| spl0_156
| ~ spl0_166
| ~ spl0_178 ),
inference(forward_demodulation,[],[f34132,f7913]) ).
thf(f34132,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| spl0_156
| ~ spl0_178 ),
inference(forward_demodulation,[],[f6223,f27618]) ).
thf(f34046,plain,
( spl0_7
| spl0_116 ),
inference(avatar_split_clause,[],[f34039,f3022,f78]) ).
thf(f34039,plain,
( ( vAPP($o,$o,f6,x) = $false )
| spl0_116 ),
inference(trivial_inequality_removal,[],[f34038]) ).
thf(f34038,plain,
( ( $true != $true )
| ( vAPP($o,$o,f6,x) = $false )
| spl0_116 ),
inference(superposition,[],[f3023,f4]) ).
thf(f3023,plain,
( ( vAPP($o,$o,f6,x) != $true )
| spl0_116 ),
inference(avatar_component_clause,[],[f3022]) ).
thf(f33860,plain,
( spl0_22
| ~ spl0_94
| ~ spl0_99
| ~ spl0_104
| ~ spl0_179 ),
inference(avatar_contradiction_clause,[],[f33859]) ).
thf(f33859,plain,
( $false
| spl0_22
| ~ spl0_94
| ~ spl0_99
| ~ spl0_104
| ~ spl0_179 ),
inference(subsumption_resolution,[],[f33858,f1676]) ).
thf(f33858,plain,
( ( $true != vAPP($o,$o,f0,$false) )
| spl0_22
| ~ spl0_99
| ~ spl0_104
| ~ spl0_179 ),
inference(forward_demodulation,[],[f33857,f2419]) ).
thf(f33857,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| spl0_22
| ~ spl0_99
| ~ spl0_179 ),
inference(forward_demodulation,[],[f33856,f2165]) ).
thf(f33856,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| spl0_22
| ~ spl0_179 ),
inference(forward_demodulation,[],[f146,f30576]) ).
thf(f33854,plain,
( ~ spl0_47
| ~ spl0_56
| spl0_93
| ~ spl0_94
| ~ spl0_197 ),
inference(avatar_contradiction_clause,[],[f33853]) ).
thf(f33853,plain,
( $false
| ~ spl0_47
| ~ spl0_56
| spl0_93
| ~ spl0_94
| ~ spl0_197 ),
inference(subsumption_resolution,[],[f33852,f1669]) ).
thf(f33852,plain,
( ( $false = vAPP($o,$o,f0,$false) )
| ~ spl0_47
| ~ spl0_56
| ~ spl0_94
| ~ spl0_197 ),
inference(forward_demodulation,[],[f33851,f486]) ).
thf(f33851,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ~ spl0_47
| ~ spl0_94
| ~ spl0_197 ),
inference(forward_demodulation,[],[f33850,f1676]) ).
thf(f33850,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$false))) )
| ~ spl0_47
| ~ spl0_197 ),
inference(forward_demodulation,[],[f435,f33153]) ).
thf(f33831,plain,
( ~ spl0_56
| spl0_76
| ~ spl0_94
| ~ spl0_197 ),
inference(avatar_contradiction_clause,[],[f33830]) ).
thf(f33830,plain,
( $false
| ~ spl0_56
| spl0_76
| ~ spl0_94
| ~ spl0_197 ),
inference(subsumption_resolution,[],[f33829,f1676]) ).
thf(f33829,plain,
( ( $true != vAPP($o,$o,f0,$false) )
| ~ spl0_56
| spl0_76
| ~ spl0_94
| ~ spl0_197 ),
inference(forward_demodulation,[],[f33828,f486]) ).
thf(f33828,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| spl0_76
| ~ spl0_94
| ~ spl0_197 ),
inference(forward_demodulation,[],[f33827,f1676]) ).
thf(f33827,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$false))) )
| spl0_76
| ~ spl0_197 ),
inference(forward_demodulation,[],[f934,f33153]) ).
thf(f33826,plain,
( ~ spl0_69
| ~ spl0_71
| ~ spl0_89
| spl0_98
| ~ spl0_107
| ~ spl0_138
| ~ spl0_143
| ~ spl0_179 ),
inference(avatar_contradiction_clause,[],[f33825]) ).
thf(f33825,plain,
( $false
| ~ spl0_69
| ~ spl0_71
| ~ spl0_89
| spl0_98
| ~ spl0_107
| ~ spl0_138
| ~ spl0_143
| ~ spl0_179 ),
inference(subsumption_resolution,[],[f33824,f30576]) ).
thf(f33824,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,$true)) )
| ~ spl0_69
| ~ spl0_71
| ~ spl0_89
| spl0_98
| ~ spl0_107
| ~ spl0_138
| ~ spl0_143 ),
inference(forward_demodulation,[],[f33823,f4314]) ).
thf(f33823,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$false))) )
| ~ spl0_69
| ~ spl0_71
| ~ spl0_89
| spl0_98
| ~ spl0_107
| ~ spl0_138
| ~ spl0_143 ),
inference(forward_demodulation,[],[f33822,f4461]) ).
thf(f33822,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$true)))) )
| ~ spl0_69
| ~ spl0_71
| ~ spl0_89
| spl0_98
| ~ spl0_107
| ~ spl0_138 ),
inference(forward_demodulation,[],[f33821,f4314]) ).
thf(f33821,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$false))))) )
| ~ spl0_69
| ~ spl0_71
| ~ spl0_89
| spl0_98
| ~ spl0_107 ),
inference(forward_demodulation,[],[f33818,f1056]) ).
thf(f33818,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))))) )
| ~ spl0_89
| spl0_98
| ~ spl0_107 ),
inference(backward_demodulation,[],[f33817,f1412]) ).
thf(f33817,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$false))))))) )
| spl0_98
| ~ spl0_107 ),
inference(backward_demodulation,[],[f2072,f2637]) ).
thf(f33810,plain,
( ~ spl0_15
| spl0_25
| ~ spl0_138
| ~ spl0_143
| ~ spl0_179 ),
inference(avatar_contradiction_clause,[],[f33809]) ).
thf(f33809,plain,
( $false
| ~ spl0_15
| spl0_25
| ~ spl0_138
| ~ spl0_143
| ~ spl0_179 ),
inference(subsumption_resolution,[],[f33808,f30576]) ).
thf(f33808,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,$true)) )
| ~ spl0_15
| spl0_25
| ~ spl0_138
| ~ spl0_143 ),
inference(forward_demodulation,[],[f33791,f4314]) ).
thf(f33791,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$false))) )
| ~ spl0_15
| spl0_25
| ~ spl0_138
| ~ spl0_143 ),
inference(backward_demodulation,[],[f33683,f4461]) ).
thf(f33683,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$true)))) )
| ~ spl0_15
| spl0_25
| ~ spl0_138 ),
inference(forward_demodulation,[],[f33682,f4314]) ).
thf(f33682,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$false))))) )
| ~ spl0_15
| spl0_25 ),
inference(forward_demodulation,[],[f160,f116]) ).
thf(f33633,plain,
( spl0_74
| ~ spl0_66
| ~ spl0_69
| ~ spl0_71
| ~ spl0_138
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f33456,f14057,f4312,f894,f875,f838,f916]) ).
thf(f33456,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))))))) )
| ~ spl0_66
| ~ spl0_69
| ~ spl0_71
| ~ spl0_138
| ~ spl0_172 ),
inference(forward_demodulation,[],[f33455,f4314]) ).
thf(f33455,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$false)))))))) )
| ~ spl0_66
| ~ spl0_69
| ~ spl0_71
| ~ spl0_172 ),
inference(forward_demodulation,[],[f33454,f1056]) ).
thf(f33454,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))))))) )
| ~ spl0_66
| ~ spl0_69
| ~ spl0_71
| ~ spl0_172 ),
inference(forward_demodulation,[],[f33453,f1056]) ).
thf(f33453,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$false)))))))))) )
| ~ spl0_66
| ~ spl0_172 ),
inference(forward_demodulation,[],[f840,f14059]) ).
thf(f33631,plain,
( ~ spl0_45
| spl0_41
| ~ spl0_138
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f33500,f14057,f4312,f388,f419]) ).
thf(f33500,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))))))) )
| spl0_41
| ~ spl0_138
| ~ spl0_172 ),
inference(forward_demodulation,[],[f33499,f4314]) ).
thf(f33499,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$false)))))))) )
| spl0_41
| ~ spl0_172 ),
inference(forward_demodulation,[],[f389,f14059]) ).
thf(f33629,plain,
( ~ spl0_45
| spl0_34
| ~ spl0_69
| ~ spl0_71
| ~ spl0_120
| ~ spl0_138
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f33513,f14057,f4312,f3072,f894,f875,f340,f419]) ).
thf(f33513,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))))))) )
| spl0_34
| ~ spl0_69
| ~ spl0_71
| ~ spl0_120
| ~ spl0_138
| ~ spl0_172 ),
inference(forward_demodulation,[],[f33512,f4314]) ).
thf(f33512,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$false)))))))) )
| spl0_34
| ~ spl0_69
| ~ spl0_71
| ~ spl0_120
| ~ spl0_172 ),
inference(forward_demodulation,[],[f33511,f1056]) ).
thf(f33511,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))))))) )
| spl0_34
| ~ spl0_69
| ~ spl0_71
| ~ spl0_120
| ~ spl0_172 ),
inference(forward_demodulation,[],[f33510,f1056]) ).
thf(f33510,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$false)))))))))) )
| spl0_34
| ~ spl0_120
| ~ spl0_172 ),
inference(forward_demodulation,[],[f33509,f14059]) ).
thf(f33509,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$true))))))))))) )
| spl0_34
| ~ spl0_120 ),
inference(forward_demodulation,[],[f341,f3074]) ).
thf(f33564,plain,
( ~ spl0_5
| ~ spl0_105
| spl0_116 ),
inference(avatar_contradiction_clause,[],[f33563]) ).
thf(f33563,plain,
( $false
| ~ spl0_5
| ~ spl0_105
| spl0_116 ),
inference(subsumption_resolution,[],[f33559,f2568]) ).
thf(f33559,plain,
( ( $true != vAPP($o,$o,f6,$false) )
| ~ spl0_5
| spl0_116 ),
inference(backward_demodulation,[],[f3023,f71]) ).
thf(f33399,plain,
( spl0_94
| ~ spl0_24
| ~ spl0_104
| ~ spl0_166 ),
inference(avatar_split_clause,[],[f33398,f7911,f2417,f154,f1674]) ).
thf(f33398,plain,
( ( $true = vAPP($o,$o,f0,$false) )
| ~ spl0_24
| ~ spl0_104
| ~ spl0_166 ),
inference(forward_demodulation,[],[f33392,f7913]) ).
thf(f33392,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ~ spl0_24
| ~ spl0_104 ),
inference(backward_demodulation,[],[f156,f2419]) ).
thf(f33337,plain,
( ~ spl0_51
| spl0_49
| spl0_102 ),
inference(avatar_split_clause,[],[f28991,f2235,f446,f458]) ).
thf(f28991,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| spl0_49
| spl0_102 ),
inference(subsumption_resolution,[],[f28970,f2236]) ).
thf(f28970,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( $false = vAPP($o,$o,f2,$true) )
| spl0_49 ),
inference(superposition,[],[f447,f4]) ).
thf(f447,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))))) )
| spl0_49 ),
inference(avatar_component_clause,[],[f446]) ).
thf(f33336,plain,
( spl0_80
| ~ spl0_78
| spl0_102 ),
inference(avatar_split_clause,[],[f29058,f2235,f949,f964]) ).
thf(f29058,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ~ spl0_78
| spl0_102 ),
inference(subsumption_resolution,[],[f29024,f2236]) ).
thf(f29024,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( $false = vAPP($o,$o,f2,$true) )
| ~ spl0_78 ),
inference(superposition,[],[f951,f4]) ).
thf(f33334,plain,
( spl0_200
| ~ spl0_95
| spl0_158 ),
inference(avatar_split_clause,[],[f29108,f6236,f1748,f33213]) ).
thf(f29108,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))) )
| spl0_158 ),
inference(superposition,[],[f6237,f4]) ).
thf(f33332,plain,
( ~ spl0_51
| spl0_47
| spl0_144 ),
inference(avatar_split_clause,[],[f29379,f4476,f433,f458]) ).
thf(f29379,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| spl0_47
| spl0_144 ),
inference(subsumption_resolution,[],[f29335,f4478]) ).
thf(f29335,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,$true)) )
| spl0_47 ),
inference(superposition,[],[f434,f4]) ).
thf(f33331,plain,
( spl0_80
| ~ spl0_76
| spl0_144 ),
inference(avatar_split_clause,[],[f29498,f4476,f933,f964]) ).
thf(f29498,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ~ spl0_76
| spl0_144 ),
inference(subsumption_resolution,[],[f29427,f4478]) ).
thf(f29427,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,$true)) )
| ~ spl0_76 ),
inference(superposition,[],[f935,f4]) ).
thf(f33313,plain,
( spl0_24
| ~ spl0_20
| spl0_141 ),
inference(avatar_split_clause,[],[f32797,f4392,f136,f154]) ).
thf(f32797,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$true)))) )
| ~ spl0_20
| spl0_141 ),
inference(subsumption_resolution,[],[f32748,f4393]) ).
thf(f32748,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$true)))) )
| ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,$true)) )
| ~ spl0_20 ),
inference(superposition,[],[f138,f4]) ).
thf(f138,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$true)))))) )
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f136]) ).
thf(f33219,plain,
( ~ spl0_104
| spl0_102
| spl0_179 ),
inference(avatar_split_clause,[],[f33218,f30575,f2235,f2417]) ).
thf(f33218,plain,
( ( $false != vAPP($o,$o,f1,$true) )
| spl0_102
| spl0_179 ),
inference(subsumption_resolution,[],[f32469,f2236]) ).
thf(f32469,plain,
( ( $false != vAPP($o,$o,f1,$true) )
| ( $false = vAPP($o,$o,f2,$true) )
| spl0_179 ),
inference(superposition,[],[f30577,f4]) ).
thf(f33207,plain,
( spl0_193
| ~ spl0_56
| spl0_158 ),
inference(avatar_split_clause,[],[f29111,f6236,f484,f33084]) ).
thf(f29111,plain,
( ( $false != vAPP($o,$o,f0,$true) )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$true)))) )
| spl0_158 ),
inference(superposition,[],[f6237,f4]) ).
thf(f33158,plain,
( spl0_197
| ~ spl0_56
| spl0_47
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f33157,f739,f433,f484,f33151]) ).
thf(f33157,plain,
( ( $false != vAPP($o,$o,f0,$true) )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))) )
| spl0_47
| ~ spl0_62 ),
inference(forward_demodulation,[],[f29339,f741]) ).
thf(f29339,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))) )
| spl0_47 ),
inference(superposition,[],[f434,f4]) ).
thf(f33156,plain,
( spl0_197
| spl0_30
| ~ spl0_62
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f33155,f933,f739,f181,f33151]) ).
thf(f33155,plain,
( ( $true = vAPP($o,$o,f0,$true) )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))) )
| ~ spl0_62
| ~ spl0_76 ),
inference(forward_demodulation,[],[f29431,f741]) ).
thf(f29431,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))) )
| ~ spl0_76 ),
inference(superposition,[],[f935,f4]) ).
thf(f32201,plain,
( ~ spl0_156
| spl0_4
| ~ spl0_116
| ~ spl0_120
| ~ spl0_138
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f32161,f14057,f4312,f3072,f3022,f23,f6222]) ).
thf(f32161,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$true))))))) )
| spl0_4
| ~ spl0_116
| ~ spl0_120
| ~ spl0_138
| ~ spl0_172 ),
inference(forward_demodulation,[],[f32160,f4314]) ).
thf(f32160,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$false)))))))) )
| spl0_4
| ~ spl0_116
| ~ spl0_120
| ~ spl0_172 ),
inference(forward_demodulation,[],[f32159,f14059]) ).
thf(f32159,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))))))))) )
| spl0_4
| ~ spl0_116
| ~ spl0_120 ),
inference(forward_demodulation,[],[f32158,f3074]) ).
thf(f32158,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$true)))))))))) )
| spl0_4
| ~ spl0_116
| ~ spl0_120 ),
inference(forward_demodulation,[],[f32157,f3074]) ).
thf(f32157,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$true))))))))))) )
| spl0_4
| ~ spl0_116
| ~ spl0_120 ),
inference(forward_demodulation,[],[f32156,f3074]) ).
thf(f32156,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true)))))))))))) )
| spl0_4
| ~ spl0_116 ),
inference(forward_demodulation,[],[f24,f3024]) ).
thf(f32134,plain,
( ~ spl0_10
| ~ spl0_93
| ~ spl0_96
| ~ spl0_103
| ~ spl0_110
| ~ spl0_120
| ~ spl0_138
| ~ spl0_172 ),
inference(avatar_contradiction_clause,[],[f32133]) ).
thf(f32133,plain,
( $false
| ~ spl0_10
| ~ spl0_93
| ~ spl0_96
| ~ spl0_103
| ~ spl0_110
| ~ spl0_120
| ~ spl0_138
| ~ spl0_172 ),
inference(trivial_inequality_removal,[],[f32132]) ).
thf(f32132,plain,
( ( $true = $false )
| ~ spl0_10
| ~ spl0_93
| ~ spl0_96
| ~ spl0_103
| ~ spl0_110
| ~ spl0_120
| ~ spl0_138
| ~ spl0_172 ),
inference(forward_demodulation,[],[f32131,f1670]) ).
thf(f32131,plain,
( ( $true = vAPP($o,$o,f0,$false) )
| ~ spl0_10
| ~ spl0_96
| ~ spl0_103
| ~ spl0_110
| ~ spl0_120
| ~ spl0_138
| ~ spl0_172 ),
inference(forward_demodulation,[],[f32130,f2415]) ).
thf(f32130,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ~ spl0_10
| ~ spl0_96
| ~ spl0_110
| ~ spl0_120
| ~ spl0_138
| ~ spl0_172 ),
inference(forward_demodulation,[],[f32129,f30722]) ).
thf(f30722,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$true))))) )
| ~ spl0_96
| ~ spl0_110
| ~ spl0_120
| ~ spl0_138
| ~ spl0_172 ),
inference(forward_demodulation,[],[f30721,f4314]) ).
thf(f30721,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$false)))))) )
| ~ spl0_96
| ~ spl0_110
| ~ spl0_120
| ~ spl0_172 ),
inference(forward_demodulation,[],[f30720,f14059]) ).
thf(f30720,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))))))) )
| ~ spl0_96
| ~ spl0_110
| ~ spl0_120 ),
inference(forward_demodulation,[],[f30719,f3074]) ).
thf(f30719,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$true)))))))) )
| ~ spl0_96
| ~ spl0_110
| ~ spl0_120 ),
inference(forward_demodulation,[],[f30715,f3074]) ).
thf(f30715,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$true))))))))) )
| ~ spl0_96
| ~ spl0_110 ),
inference(backward_demodulation,[],[f1754,f2653]) ).
thf(f32129,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$true))))))) )
| ~ spl0_10
| ~ spl0_120
| ~ spl0_138
| ~ spl0_172 ),
inference(forward_demodulation,[],[f32128,f4314]) ).
thf(f32128,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$false)))))))) )
| ~ spl0_10
| ~ spl0_120
| ~ spl0_172 ),
inference(forward_demodulation,[],[f32127,f14059]) ).
thf(f32127,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))))))))) )
| ~ spl0_10
| ~ spl0_120 ),
inference(forward_demodulation,[],[f32126,f3074]) ).
thf(f32126,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$true)))))))))) )
| ~ spl0_10
| ~ spl0_120 ),
inference(forward_demodulation,[],[f93,f3074]) ).
thf(f31946,plain,
( ~ spl0_143
| ~ spl0_138
| spl0_140 ),
inference(avatar_split_clause,[],[f26207,f4388,f4312,f4459]) ).
thf(f26207,plain,
( ( $false != vAPP($o,$o,f3,$true) )
| ~ spl0_138
| spl0_140 ),
inference(forward_demodulation,[],[f4389,f4314]) ).
thf(f4389,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f3,$false)) )
| spl0_140 ),
inference(avatar_component_clause,[],[f4388]) ).
thf(f31944,plain,
( spl0_143
| spl0_102
| ~ spl0_141 ),
inference(avatar_split_clause,[],[f31542,f4392,f2235,f4459]) ).
thf(f31542,plain,
( ( $false = vAPP($o,$o,f3,$true) )
| spl0_102
| ~ spl0_141 ),
inference(subsumption_resolution,[],[f31470,f2236]) ).
thf(f31470,plain,
( ( $false = vAPP($o,$o,f2,$true) )
| ( $false = vAPP($o,$o,f3,$true) )
| ~ spl0_141 ),
inference(superposition,[],[f4394,f4]) ).
thf(f4394,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,$true)) )
| ~ spl0_141 ),
inference(avatar_component_clause,[],[f4392]) ).
thf(f31935,plain,
( spl0_143
| ~ spl0_141
| ~ spl0_173
| spl0_177 ),
inference(avatar_split_clause,[],[f31934,f27612,f19783,f4392,f4459]) ).
thf(f31934,plain,
( ( $false = vAPP($o,$o,f3,$true) )
| ~ spl0_141
| ~ spl0_173
| spl0_177 ),
inference(subsumption_resolution,[],[f31933,f19785]) ).
thf(f31933,plain,
( ( $false != vAPP($o,$o,f2,$false) )
| ( $false = vAPP($o,$o,f3,$true) )
| ~ spl0_141
| ~ spl0_173
| spl0_177 ),
inference(forward_demodulation,[],[f31476,f19785]) ).
thf(f31476,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f2,$false)) )
| ( $false = vAPP($o,$o,f3,$true) )
| ~ spl0_141
| spl0_177 ),
inference(superposition,[],[f29574,f4394]) ).
thf(f29574,plain,
( ! [X0: $o] :
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,X0))) )
| ( $false = X0 ) )
| spl0_177 ),
inference(superposition,[],[f27613,f4]) ).
thf(f31896,plain,
( spl0_143
| ~ spl0_74
| ~ spl0_93
| ~ spl0_103
| ~ spl0_141
| spl0_144 ),
inference(avatar_split_clause,[],[f31895,f4476,f4392,f2413,f1668,f916,f4459]) ).
thf(f31895,plain,
( ( $false = vAPP($o,$o,f3,$true) )
| ~ spl0_74
| ~ spl0_93
| ~ spl0_103
| ~ spl0_141
| spl0_144 ),
inference(trivial_inequality_removal,[],[f31894]) ).
thf(f31894,plain,
( ( $true = $false )
| ( $false = vAPP($o,$o,f3,$true) )
| ~ spl0_74
| ~ spl0_93
| ~ spl0_103
| ~ spl0_141
| spl0_144 ),
inference(forward_demodulation,[],[f31893,f1670]) ).
thf(f31893,plain,
( ( $true = vAPP($o,$o,f0,$false) )
| ( $false = vAPP($o,$o,f3,$true) )
| ~ spl0_74
| ~ spl0_93
| ~ spl0_103
| ~ spl0_141
| spl0_144 ),
inference(forward_demodulation,[],[f31892,f1670]) ).
thf(f31892,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,$false)) )
| ( $false = vAPP($o,$o,f3,$true) )
| ~ spl0_74
| ~ spl0_93
| ~ spl0_103
| ~ spl0_141
| spl0_144 ),
inference(forward_demodulation,[],[f31891,f1670]) ).
thf(f31891,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$false))) )
| ( $false = vAPP($o,$o,f3,$true) )
| ~ spl0_74
| ~ spl0_103
| ~ spl0_141
| spl0_144 ),
inference(forward_demodulation,[],[f31890,f2415]) ).
thf(f31890,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$false)))) )
| ( $false = vAPP($o,$o,f3,$true) )
| ~ spl0_74
| ~ spl0_141
| spl0_144 ),
inference(subsumption_resolution,[],[f31516,f4478]) ).
thf(f31516,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$false)))) )
| ( $false = vAPP($o,$o,f3,$true) )
| ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,$true)) )
| ~ spl0_74
| ~ spl0_141 ),
inference(binary_proxy_clausification,[],[f31497]) ).
thf(f31497,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$false)))) )
| ( vAPP($o,$o,f3,$true) != vAPP($o,$o,f2,vAPP($o,$o,f2,$true)) )
| ~ spl0_74
| ~ spl0_141 ),
inference(constrained_superposition,[],[f918,f4394]) ).
thf(f31879,plain,
( spl0_143
| ~ spl0_141
| spl0_144
| spl0_177 ),
inference(avatar_split_clause,[],[f31878,f27612,f4476,f4392,f4459]) ).
thf(f31878,plain,
( ( $false = vAPP($o,$o,f3,$true) )
| ~ spl0_141
| spl0_144
| spl0_177 ),
inference(subsumption_resolution,[],[f31510,f4478]) ).
thf(f31510,plain,
( ( $false = vAPP($o,$o,f3,$true) )
| ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,$true)) )
| ~ spl0_141
| spl0_177 ),
inference(binary_proxy_clausification,[],[f31508]) ).
thf(f31508,plain,
( ( vAPP($o,$o,f3,$true) != vAPP($o,$o,f2,vAPP($o,$o,f2,$true)) )
| ~ spl0_141
| spl0_177 ),
inference(trivial_inequality_removal,[],[f31500]) ).
thf(f31500,plain,
( ( $false != $false )
| ( vAPP($o,$o,f3,$true) != vAPP($o,$o,f2,vAPP($o,$o,f2,$true)) )
| ~ spl0_141
| spl0_177 ),
inference(constrained_superposition,[],[f27613,f4394]) ).
thf(f30651,plain,
( ~ spl0_30
| spl0_83
| ~ spl0_87
| ~ spl0_116 ),
inference(avatar_contradiction_clause,[],[f30650]) ).
thf(f30650,plain,
( $false
| ~ spl0_30
| spl0_83
| ~ spl0_87
| ~ spl0_116 ),
inference(subsumption_resolution,[],[f30649,f183]) ).
thf(f30649,plain,
( ( $true != vAPP($o,$o,f0,$true) )
| spl0_83
| ~ spl0_87
| ~ spl0_116 ),
inference(forward_demodulation,[],[f27029,f30151]) ).
thf(f30151,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$true)))))))))))) )
| ~ spl0_87
| ~ spl0_116 ),
inference(forward_demodulation,[],[f1011,f3024]) ).
thf(f1011,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x))))))))))))) = $true )
| ~ spl0_87 ),
inference(avatar_component_clause,[],[f1009]) ).
thf(f27029,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$true))))))))))))) )
| spl0_83
| ~ spl0_116 ),
inference(forward_demodulation,[],[f988,f3024]) ).
thf(f30648,plain,
( spl0_5
| spl0_121
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f28946,f3022,f3084,f69]) ).
thf(f28946,plain,
( ( $true = vAPP($o,$o,f6,$true) )
| ( x = $false )
| ~ spl0_116 ),
inference(superposition,[],[f3024,f4]) ).
thf(f30635,plain,
( spl0_3
| ~ spl0_93
| ~ spl0_116
| ~ spl0_155 ),
inference(avatar_contradiction_clause,[],[f30634]) ).
thf(f30634,plain,
( $false
| spl0_3
| ~ spl0_93
| ~ spl0_116
| ~ spl0_155 ),
inference(subsumption_resolution,[],[f30630,f1670]) ).
thf(f30630,plain,
( ( $false != vAPP($o,$o,f0,$false) )
| spl0_3
| ~ spl0_116
| ~ spl0_155 ),
inference(backward_demodulation,[],[f30534,f5834]) ).
thf(f5834,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$true))))))))))))) )
| ~ spl0_155 ),
inference(avatar_component_clause,[],[f5832]) ).
thf(f30534,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$true)))))))))))))) )
| spl0_3
| ~ spl0_116 ),
inference(forward_demodulation,[],[f20,f3024]) ).
thf(f30607,plain,
( spl0_155
| ~ spl0_85
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f30367,f3022,f996,f5832]) ).
thf(f30367,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$true))))))))))))) )
| ~ spl0_85
| ~ spl0_116 ),
inference(forward_demodulation,[],[f998,f3024]) ).
thf(f30355,plain,
( ~ spl0_89
| spl0_107 ),
inference(avatar_contradiction_clause,[],[f30354]) ).
thf(f30354,plain,
( $false
| ~ spl0_89
| spl0_107 ),
inference(subsumption_resolution,[],[f30344,f1412]) ).
thf(f30344,plain,
( ( $false != vAPP($o,$o,f5,$false) )
| ~ spl0_89
| spl0_107 ),
inference(backward_demodulation,[],[f2636,f1412]) ).
thf(f2636,plain,
( ( $false != vAPP($o,$o,f5,vAPP($o,$o,f5,$false)) )
| spl0_107 ),
inference(avatar_component_clause,[],[f2635]) ).
thf(f30238,plain,
( spl0_154
| ~ spl0_156
| ~ spl0_166
| ~ spl0_178 ),
inference(avatar_split_clause,[],[f30237,f27616,f7911,f6222,f5828]) ).
thf(f30237,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ~ spl0_156
| ~ spl0_166
| ~ spl0_178 ),
inference(forward_demodulation,[],[f30236,f7913]) ).
thf(f30236,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ~ spl0_156
| ~ spl0_178 ),
inference(forward_demodulation,[],[f6224,f27618]) ).
thf(f30197,plain,
( spl0_171
| ~ spl0_15
| ~ spl0_116
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f30196,f3119,f3022,f114,f14053]) ).
thf(f30196,plain,
( ( $false = vAPP($o,$o,f4,vAPP($o,$o,f5,$true)) )
| ~ spl0_15
| ~ spl0_116
| ~ spl0_125 ),
inference(forward_demodulation,[],[f17259,f3121]) ).
thf(f17259,plain,
( ( $false = vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true)))) )
| ~ spl0_15
| ~ spl0_116 ),
inference(forward_demodulation,[],[f116,f3024]) ).
thf(f29840,plain,
( ~ spl0_99
| spl0_104
| ~ spl0_150
| ~ spl0_167 ),
inference(avatar_contradiction_clause,[],[f29839]) ).
thf(f29839,plain,
( $false
| ~ spl0_99
| spl0_104
| ~ spl0_150
| ~ spl0_167 ),
inference(subsumption_resolution,[],[f29769,f29802]) ).
thf(f29802,plain,
( ( $true = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$true))))) )
| ~ spl0_99
| spl0_104
| ~ spl0_150
| ~ spl0_167 ),
inference(subsumption_resolution,[],[f29801,f2418]) ).
thf(f29801,plain,
( ( $false = vAPP($o,$o,f1,$true) )
| ( $true = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$true))))) )
| ~ spl0_99
| spl0_104
| ~ spl0_150
| ~ spl0_167 ),
inference(forward_demodulation,[],[f29800,f2165]) ).
thf(f29800,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,$false)) )
| ( $true = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$true))))) )
| spl0_104
| ~ spl0_150
| ~ spl0_167 ),
inference(subsumption_resolution,[],[f29781,f29799]) ).
thf(f29799,plain,
( ( $true != vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$true))) )
| spl0_104
| ~ spl0_150
| ~ spl0_167 ),
inference(subsumption_resolution,[],[f29798,f2418]) ).
thf(f29798,plain,
( ( $false = vAPP($o,$o,f1,$true) )
| ( $true != vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$true))) )
| ~ spl0_150
| ~ spl0_167 ),
inference(forward_demodulation,[],[f29655,f5115]) ).
thf(f29655,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) )
| ( $true != vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$true))) )
| ~ spl0_150
| ~ spl0_167 ),
inference(constrained_superposition,[],[f8070,f5115]) ).
thf(f8070,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$true)))))) )
| ~ spl0_167 ),
inference(avatar_component_clause,[],[f8068]) ).
thf(f29781,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,$false)) )
| ( $true = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$true))) )
| ( $true = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$true))))) )
| ~ spl0_167 ),
inference(binary_proxy_clausification,[],[f29656]) ).
thf(f29656,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,$false)) )
| ( vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$true))) != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$true))))) )
| ~ spl0_167 ),
inference(constrained_superposition,[],[f8070,f8070]) ).
thf(f29769,plain,
( ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$true))))) )
| spl0_104
| ~ spl0_167 ),
inference(trivial_inequality_removal,[],[f29672]) ).
thf(f29672,plain,
( ( $false != $false )
| ( $true != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$true))))) )
| spl0_104
| ~ spl0_167 ),
inference(constrained_superposition,[],[f2418,f8070]) ).
thf(f29793,plain,
( spl0_104
| ~ spl0_150
| ~ spl0_167
| spl0_178 ),
inference(avatar_contradiction_clause,[],[f29792]) ).
thf(f29792,plain,
( $false
| spl0_104
| ~ spl0_150
| ~ spl0_167
| spl0_178 ),
inference(subsumption_resolution,[],[f29791,f2418]) ).
thf(f29791,plain,
( ( $false = vAPP($o,$o,f1,$true) )
| ~ spl0_150
| ~ spl0_167
| spl0_178 ),
inference(forward_demodulation,[],[f29790,f5115]) ).
thf(f29790,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) )
| ~ spl0_150
| ~ spl0_167
| spl0_178 ),
inference(forward_demodulation,[],[f29789,f5115]) ).
thf(f29789,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) )
| ~ spl0_167
| spl0_178 ),
inference(subsumption_resolution,[],[f29652,f27617]) ).
thf(f29652,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) )
| ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$true))) )
| ~ spl0_167 ),
inference(superposition,[],[f8070,f4]) ).
thf(f28830,plain,
( spl0_45
| ~ spl0_41
| ~ spl0_138
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f28690,f14057,f4312,f388,f419]) ).
thf(f28690,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))))))) )
| ~ spl0_41
| ~ spl0_138
| ~ spl0_172 ),
inference(forward_demodulation,[],[f28689,f4314]) ).
thf(f28689,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$false)))))))) )
| ~ spl0_41
| ~ spl0_172 ),
inference(forward_demodulation,[],[f390,f14059]) ).
thf(f28828,plain,
( spl0_45
| ~ spl0_34
| ~ spl0_69
| ~ spl0_71
| ~ spl0_111
| ~ spl0_138 ),
inference(avatar_split_clause,[],[f28712,f4312,f2659,f894,f875,f340,f419]) ).
thf(f28712,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))))))) )
| ~ spl0_34
| ~ spl0_69
| ~ spl0_71
| ~ spl0_111
| ~ spl0_138 ),
inference(forward_demodulation,[],[f28711,f4314]) ).
thf(f28711,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$false)))))))) )
| ~ spl0_34
| ~ spl0_69
| ~ spl0_71
| ~ spl0_111 ),
inference(forward_demodulation,[],[f28710,f1056]) ).
thf(f28710,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))))))) )
| ~ spl0_34
| ~ spl0_69
| ~ spl0_71
| ~ spl0_111 ),
inference(forward_demodulation,[],[f28709,f1056]) ).
thf(f28709,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$false)))))))))) )
| ~ spl0_34
| ~ spl0_69
| ~ spl0_71
| ~ spl0_111 ),
inference(forward_demodulation,[],[f28708,f1056]) ).
thf(f28708,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$false))))))))))) )
| ~ spl0_34
| ~ spl0_111 ),
inference(forward_demodulation,[],[f342,f2661]) ).
thf(f28826,plain,
( spl0_45
| ~ spl0_3
| ~ spl0_69
| ~ spl0_71
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121
| ~ spl0_138 ),
inference(avatar_split_clause,[],[f28781,f4312,f3084,f3022,f2659,f894,f875,f19,f419]) ).
thf(f28781,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))))))) )
| ~ spl0_3
| ~ spl0_69
| ~ spl0_71
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121
| ~ spl0_138 ),
inference(forward_demodulation,[],[f28780,f4314]) ).
thf(f28780,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$false)))))))) )
| ~ spl0_3
| ~ spl0_69
| ~ spl0_71
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121 ),
inference(forward_demodulation,[],[f28779,f1056]) ).
thf(f28779,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))))))) )
| ~ spl0_3
| ~ spl0_69
| ~ spl0_71
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121 ),
inference(forward_demodulation,[],[f28778,f1056]) ).
thf(f28778,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$false)))))))))) )
| ~ spl0_3
| ~ spl0_69
| ~ spl0_71
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121 ),
inference(forward_demodulation,[],[f28777,f1056]) ).
thf(f28777,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$false))))))))))) )
| ~ spl0_3
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121 ),
inference(forward_demodulation,[],[f28776,f2661]) ).
thf(f28776,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,$true)))))))))))) )
| ~ spl0_3
| ~ spl0_116
| ~ spl0_121 ),
inference(forward_demodulation,[],[f28775,f3086]) ).
thf(f28775,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,$true))))))))))))) )
| ~ spl0_3
| ~ spl0_116
| ~ spl0_121 ),
inference(forward_demodulation,[],[f28774,f3086]) ).
thf(f28774,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$true)))))))))))))) )
| ~ spl0_3
| ~ spl0_116 ),
inference(forward_demodulation,[],[f21,f3024]) ).
thf(f28717,plain,
( ~ spl0_34
| spl0_56
| ~ spl0_62
| ~ spl0_69
| ~ spl0_71
| ~ spl0_99
| ~ spl0_111
| ~ spl0_138
| ~ spl0_177 ),
inference(avatar_contradiction_clause,[],[f28716]) ).
thf(f28716,plain,
( $false
| ~ spl0_34
| spl0_56
| ~ spl0_62
| ~ spl0_69
| ~ spl0_71
| ~ spl0_99
| ~ spl0_111
| ~ spl0_138
| ~ spl0_177 ),
inference(subsumption_resolution,[],[f28715,f485]) ).
thf(f28715,plain,
( ( $false = vAPP($o,$o,f0,$true) )
| ~ spl0_34
| ~ spl0_62
| ~ spl0_69
| ~ spl0_71
| ~ spl0_99
| ~ spl0_111
| ~ spl0_138
| ~ spl0_177 ),
inference(forward_demodulation,[],[f28714,f741]) ).
thf(f28714,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ~ spl0_34
| ~ spl0_69
| ~ spl0_71
| ~ spl0_99
| ~ spl0_111
| ~ spl0_138
| ~ spl0_177 ),
inference(forward_demodulation,[],[f28713,f2165]) ).
thf(f28713,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$false)))) )
| ~ spl0_34
| ~ spl0_69
| ~ spl0_71
| ~ spl0_111
| ~ spl0_138
| ~ spl0_177 ),
inference(forward_demodulation,[],[f28712,f27614]) ).
thf(f28695,plain,
( ~ spl0_41
| spl0_56
| ~ spl0_62
| ~ spl0_99
| ~ spl0_138
| ~ spl0_172
| ~ spl0_177 ),
inference(avatar_contradiction_clause,[],[f28694]) ).
thf(f28694,plain,
( $false
| ~ spl0_41
| spl0_56
| ~ spl0_62
| ~ spl0_99
| ~ spl0_138
| ~ spl0_172
| ~ spl0_177 ),
inference(subsumption_resolution,[],[f28693,f485]) ).
thf(f28693,plain,
( ( $false = vAPP($o,$o,f0,$true) )
| ~ spl0_41
| ~ spl0_62
| ~ spl0_99
| ~ spl0_138
| ~ spl0_172
| ~ spl0_177 ),
inference(forward_demodulation,[],[f28692,f741]) ).
thf(f28692,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ~ spl0_41
| ~ spl0_99
| ~ spl0_138
| ~ spl0_172
| ~ spl0_177 ),
inference(forward_demodulation,[],[f28691,f2165]) ).
thf(f28691,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$false)))) )
| ~ spl0_41
| ~ spl0_138
| ~ spl0_172
| ~ spl0_177 ),
inference(forward_demodulation,[],[f28690,f27614]) ).
thf(f28688,plain,
( ~ spl0_45
| spl0_56
| ~ spl0_62
| ~ spl0_99
| ~ spl0_177 ),
inference(avatar_contradiction_clause,[],[f28687]) ).
thf(f28687,plain,
( $false
| ~ spl0_45
| spl0_56
| ~ spl0_62
| ~ spl0_99
| ~ spl0_177 ),
inference(subsumption_resolution,[],[f28686,f485]) ).
thf(f28686,plain,
( ( $false = vAPP($o,$o,f0,$true) )
| ~ spl0_45
| ~ spl0_62
| ~ spl0_99
| ~ spl0_177 ),
inference(forward_demodulation,[],[f28685,f741]) ).
thf(f28685,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ~ spl0_45
| ~ spl0_99
| ~ spl0_177 ),
inference(forward_demodulation,[],[f28684,f2165]) ).
thf(f28684,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$false)))) )
| ~ spl0_45
| ~ spl0_177 ),
inference(forward_demodulation,[],[f421,f27614]) ).
thf(f27621,plain,
( spl0_178
| spl0_25
| ~ spl0_104
| ~ spl0_116
| ~ spl0_120
| ~ spl0_138
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f27568,f14057,f4312,f3072,f3022,f2417,f159,f27616]) ).
thf(f27568,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$true))) )
| spl0_25
| ~ spl0_104
| ~ spl0_116
| ~ spl0_120
| ~ spl0_138
| ~ spl0_172 ),
inference(subsumption_resolution,[],[f27539,f2419]) ).
thf(f27539,plain,
( ( $false != vAPP($o,$o,f1,$true) )
| ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$true))) )
| spl0_25
| ~ spl0_116
| ~ spl0_120
| ~ spl0_138
| ~ spl0_172 ),
inference(superposition,[],[f27156,f4]) ).
thf(f27156,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$true)))) )
| spl0_25
| ~ spl0_116
| ~ spl0_120
| ~ spl0_138
| ~ spl0_172 ),
inference(forward_demodulation,[],[f27155,f4314]) ).
thf(f27155,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$false))))) )
| spl0_25
| ~ spl0_116
| ~ spl0_120
| ~ spl0_172 ),
inference(forward_demodulation,[],[f27154,f14059]) ).
thf(f27154,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$true)))))) )
| spl0_25
| ~ spl0_116
| ~ spl0_120 ),
inference(forward_demodulation,[],[f27153,f3074]) ).
thf(f27153,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$true))))))) )
| spl0_25
| ~ spl0_116
| ~ spl0_120 ),
inference(forward_demodulation,[],[f27152,f3074]) ).
thf(f27152,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$true)))))))) )
| spl0_25
| ~ spl0_116
| ~ spl0_120 ),
inference(forward_demodulation,[],[f27151,f3074]) ).
thf(f27151,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true))))))))) )
| spl0_25
| ~ spl0_116 ),
inference(forward_demodulation,[],[f160,f3024]) ).
thf(f26143,plain,
( spl0_102
| ~ spl0_144 ),
inference(avatar_contradiction_clause,[],[f26142]) ).
thf(f26142,plain,
( $false
| spl0_102
| ~ spl0_144 ),
inference(subsumption_resolution,[],[f26137,f2236]) ).
thf(f26137,plain,
( ( $false = vAPP($o,$o,f2,$true) )
| spl0_102
| ~ spl0_144 ),
inference(trivial_inequality_removal,[],[f26133]) ).
thf(f26133,plain,
( ( $false != $false )
| ( $false = vAPP($o,$o,f2,$true) )
| spl0_102
| ~ spl0_144 ),
inference(superposition,[],[f20450,f4477]) ).
thf(f20450,plain,
( ! [X0: $o] :
( ( $false != vAPP($o,$o,f2,X0) )
| ( $false = X0 ) )
| spl0_102 ),
inference(superposition,[],[f2236,f4]) ).
thf(f26037,plain,
( ~ spl0_19
| ~ spl0_25
| ~ spl0_49
| ~ spl0_56
| spl0_93
| ~ spl0_94
| ~ spl0_116
| ~ spl0_138 ),
inference(avatar_contradiction_clause,[],[f26036]) ).
thf(f26036,plain,
( $false
| ~ spl0_19
| ~ spl0_25
| ~ spl0_49
| ~ spl0_56
| spl0_93
| ~ spl0_94
| ~ spl0_116
| ~ spl0_138 ),
inference(subsumption_resolution,[],[f26035,f1669]) ).
thf(f26035,plain,
( ( $false = vAPP($o,$o,f0,$false) )
| ~ spl0_19
| ~ spl0_25
| ~ spl0_49
| ~ spl0_56
| ~ spl0_94
| ~ spl0_116
| ~ spl0_138 ),
inference(forward_demodulation,[],[f26034,f486]) ).
thf(f26034,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ~ spl0_19
| ~ spl0_25
| ~ spl0_49
| ~ spl0_94
| ~ spl0_116
| ~ spl0_138 ),
inference(forward_demodulation,[],[f26032,f1676]) ).
thf(f26032,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$false))) )
| ~ spl0_19
| ~ spl0_25
| ~ spl0_49
| ~ spl0_116
| ~ spl0_138 ),
inference(backward_demodulation,[],[f448,f25832]) ).
thf(f25832,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,$true)) )
| ~ spl0_19
| ~ spl0_25
| ~ spl0_116
| ~ spl0_138 ),
inference(forward_demodulation,[],[f25831,f4314]) ).
thf(f25831,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$false))) )
| ~ spl0_19
| ~ spl0_25
| ~ spl0_116 ),
inference(forward_demodulation,[],[f25331,f25734]) ).
thf(f25734,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true)))))) )
| ~ spl0_19
| ~ spl0_116 ),
inference(forward_demodulation,[],[f134,f3024]) ).
thf(f25331,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true))))))))) )
| ~ spl0_25
| ~ spl0_116 ),
inference(forward_demodulation,[],[f161,f3024]) ).
thf(f26028,plain,
( spl0_22
| ~ spl0_2
| ~ spl0_15
| ~ spl0_116
| ~ spl0_138
| ~ spl0_143 ),
inference(avatar_split_clause,[],[f25873,f4459,f4312,f3022,f114,f14,f145]) ).
thf(f25873,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))))) )
| ~ spl0_2
| ~ spl0_15
| ~ spl0_116
| ~ spl0_138
| ~ spl0_143 ),
inference(forward_demodulation,[],[f25872,f4314]) ).
thf(f25872,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$false)))))) )
| ~ spl0_2
| ~ spl0_15
| ~ spl0_116
| ~ spl0_138
| ~ spl0_143 ),
inference(forward_demodulation,[],[f25871,f4461]) ).
thf(f25871,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$true))))))) )
| ~ spl0_2
| ~ spl0_15
| ~ spl0_116
| ~ spl0_138 ),
inference(forward_demodulation,[],[f25870,f4314]) ).
thf(f25870,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$false)))))))) )
| ~ spl0_2
| ~ spl0_15
| ~ spl0_116 ),
inference(forward_demodulation,[],[f24643,f17259]) ).
thf(f24643,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true)))))))))))) )
| ~ spl0_2
| ~ spl0_116 ),
inference(forward_demodulation,[],[f16,f3024]) ).
thf(f25748,plain,
( spl0_171
| ~ spl0_38
| ~ spl0_105
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f25747,f9124,f2566,f367,f14053]) ).
thf(f25747,plain,
( ( $false = vAPP($o,$o,f4,vAPP($o,$o,f5,$true)) )
| ~ spl0_38
| ~ spl0_105
| ~ spl0_168 ),
inference(forward_demodulation,[],[f25746,f2568]) ).
thf(f25746,plain,
( ( $false = vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,$false))) )
| ~ spl0_38
| ~ spl0_105
| ~ spl0_168 ),
inference(forward_demodulation,[],[f25745,f9125]) ).
thf(f25745,plain,
( ( $false = vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$true)))) )
| ~ spl0_38
| ~ spl0_105 ),
inference(forward_demodulation,[],[f369,f2568]) ).
thf(f25696,plain,
( ~ spl0_20
| ~ spl0_56
| ~ spl0_99
| ~ spl0_104
| ~ spl0_143
| ~ spl0_173 ),
inference(avatar_contradiction_clause,[],[f25695]) ).
thf(f25695,plain,
( $false
| ~ spl0_20
| ~ spl0_56
| ~ spl0_99
| ~ spl0_104
| ~ spl0_143
| ~ spl0_173 ),
inference(trivial_inequality_removal,[],[f25694]) ).
thf(f25694,plain,
( ( $true = $false )
| ~ spl0_20
| ~ spl0_56
| ~ spl0_99
| ~ spl0_104
| ~ spl0_143
| ~ spl0_173 ),
inference(forward_demodulation,[],[f25693,f486]) ).
thf(f25693,plain,
( ( $true = vAPP($o,$o,f0,$true) )
| ~ spl0_20
| ~ spl0_99
| ~ spl0_104
| ~ spl0_143
| ~ spl0_173 ),
inference(forward_demodulation,[],[f25692,f2165]) ).
thf(f25692,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ~ spl0_20
| ~ spl0_99
| ~ spl0_104
| ~ spl0_143
| ~ spl0_173 ),
inference(forward_demodulation,[],[f25691,f2419]) ).
thf(f25691,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) )
| ~ spl0_20
| ~ spl0_99
| ~ spl0_143
| ~ spl0_173 ),
inference(forward_demodulation,[],[f25690,f2165]) ).
thf(f25690,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ~ spl0_20
| ~ spl0_143
| ~ spl0_173 ),
inference(forward_demodulation,[],[f25674,f19785]) ).
thf(f25674,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$false))))) )
| ~ spl0_20
| ~ spl0_143 ),
inference(backward_demodulation,[],[f138,f4461]) ).
thf(f25689,plain,
( ~ spl0_16
| ~ spl0_56
| ~ spl0_99
| ~ spl0_104
| ~ spl0_138
| ~ spl0_143
| ~ spl0_173 ),
inference(avatar_contradiction_clause,[],[f25688]) ).
thf(f25688,plain,
( $false
| ~ spl0_16
| ~ spl0_56
| ~ spl0_99
| ~ spl0_104
| ~ spl0_138
| ~ spl0_143
| ~ spl0_173 ),
inference(trivial_inequality_removal,[],[f25687]) ).
thf(f25687,plain,
( ( $true = $false )
| ~ spl0_16
| ~ spl0_56
| ~ spl0_99
| ~ spl0_104
| ~ spl0_138
| ~ spl0_143
| ~ spl0_173 ),
inference(forward_demodulation,[],[f25686,f486]) ).
thf(f25686,plain,
( ( $true = vAPP($o,$o,f0,$true) )
| ~ spl0_16
| ~ spl0_99
| ~ spl0_104
| ~ spl0_138
| ~ spl0_143
| ~ spl0_173 ),
inference(forward_demodulation,[],[f25685,f2165]) ).
thf(f25685,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ~ spl0_16
| ~ spl0_99
| ~ spl0_104
| ~ spl0_138
| ~ spl0_143
| ~ spl0_173 ),
inference(forward_demodulation,[],[f25684,f2419]) ).
thf(f25684,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) )
| ~ spl0_16
| ~ spl0_99
| ~ spl0_138
| ~ spl0_143
| ~ spl0_173 ),
inference(forward_demodulation,[],[f25683,f2165]) ).
thf(f25683,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ~ spl0_16
| ~ spl0_138
| ~ spl0_143
| ~ spl0_173 ),
inference(forward_demodulation,[],[f25682,f19785]) ).
thf(f25682,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$false))))) )
| ~ spl0_16
| ~ spl0_138
| ~ spl0_143 ),
inference(forward_demodulation,[],[f25681,f4461]) ).
thf(f25681,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$true)))))) )
| ~ spl0_16
| ~ spl0_138
| ~ spl0_143 ),
inference(forward_demodulation,[],[f25673,f4314]) ).
thf(f25673,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$false))))))) )
| ~ spl0_16
| ~ spl0_143 ),
inference(backward_demodulation,[],[f120,f4461]) ).
thf(f25283,plain,
( ~ spl0_103
| ~ spl0_65
| ~ spl0_69
| ~ spl0_71
| spl0_81
| ~ spl0_104
| ~ spl0_138 ),
inference(avatar_split_clause,[],[f25278,f4312,f2417,f974,f894,f875,f834,f2413]) ).
thf(f25278,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ~ spl0_65
| ~ spl0_69
| ~ spl0_71
| spl0_81
| ~ spl0_104
| ~ spl0_138 ),
inference(backward_demodulation,[],[f24695,f25274]) ).
thf(f25274,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))) )
| ~ spl0_65
| ~ spl0_69
| ~ spl0_71
| spl0_81
| ~ spl0_104
| ~ spl0_138 ),
inference(subsumption_resolution,[],[f25266,f2419]) ).
thf(f25266,plain,
( ( $false != vAPP($o,$o,f1,$true) )
| ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))) )
| ~ spl0_65
| ~ spl0_69
| ~ spl0_71
| spl0_81
| ~ spl0_138 ),
inference(superposition,[],[f24695,f4]) ).
thf(f24695,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true)))) )
| ~ spl0_65
| ~ spl0_69
| ~ spl0_71
| spl0_81
| ~ spl0_138 ),
inference(forward_demodulation,[],[f24305,f4314]) ).
thf(f24305,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$false))))) )
| ~ spl0_65
| ~ spl0_69
| ~ spl0_71
| spl0_81 ),
inference(forward_demodulation,[],[f24304,f1056]) ).
thf(f24304,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))))) )
| ~ spl0_65
| ~ spl0_69
| ~ spl0_71
| spl0_81 ),
inference(forward_demodulation,[],[f24303,f1056]) ).
thf(f24303,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$false))))))) )
| ~ spl0_65
| ~ spl0_69
| ~ spl0_71
| spl0_81 ),
inference(forward_demodulation,[],[f24302,f1056]) ).
thf(f24302,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$false)))))))) )
| ~ spl0_65
| spl0_81 ),
inference(forward_demodulation,[],[f975,f836]) ).
thf(f25183,plain,
( ~ spl0_19
| spl0_25
| spl0_102
| ~ spl0_104
| ~ spl0_111
| ~ spl0_116
| ~ spl0_138 ),
inference(avatar_contradiction_clause,[],[f25182]) ).
thf(f25182,plain,
( $false
| ~ spl0_19
| spl0_25
| spl0_102
| ~ spl0_104
| ~ spl0_111
| ~ spl0_116
| ~ spl0_138 ),
inference(subsumption_resolution,[],[f25181,f2236]) ).
thf(f25181,plain,
( ( $false = vAPP($o,$o,f2,$true) )
| ~ spl0_19
| spl0_25
| ~ spl0_104
| ~ spl0_111
| ~ spl0_116
| ~ spl0_138 ),
inference(subsumption_resolution,[],[f25177,f2419]) ).
thf(f25177,plain,
( ( $false != vAPP($o,$o,f1,$true) )
| ( $false = vAPP($o,$o,f2,$true) )
| ~ spl0_19
| spl0_25
| ~ spl0_111
| ~ spl0_116
| ~ spl0_138 ),
inference(superposition,[],[f24781,f4]) ).
thf(f24781,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,$true)) )
| ~ spl0_19
| spl0_25
| ~ spl0_111
| ~ spl0_116
| ~ spl0_138 ),
inference(forward_demodulation,[],[f24776,f4314]) ).
thf(f24776,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$false))) )
| ~ spl0_19
| spl0_25
| ~ spl0_111
| ~ spl0_116 ),
inference(backward_demodulation,[],[f24567,f24309]) ).
thf(f24309,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false))))) )
| ~ spl0_19
| ~ spl0_111
| ~ spl0_116 ),
inference(forward_demodulation,[],[f20112,f2661]) ).
thf(f20112,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true)))))) )
| ~ spl0_19
| ~ spl0_116 ),
inference(forward_demodulation,[],[f134,f3024]) ).
thf(f24567,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false)))))))) )
| spl0_25
| ~ spl0_111
| ~ spl0_116 ),
inference(forward_demodulation,[],[f24566,f2661]) ).
thf(f24566,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true))))))))) )
| spl0_25
| ~ spl0_116 ),
inference(forward_demodulation,[],[f160,f3024]) ).
thf(f25135,plain,
( spl0_45
| ~ spl0_41
| ~ spl0_138
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f25121,f14057,f4312,f388,f419]) ).
thf(f25121,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))))))) )
| ~ spl0_41
| ~ spl0_138
| ~ spl0_172 ),
inference(forward_demodulation,[],[f25120,f4314]) ).
thf(f25120,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$false)))))))) )
| ~ spl0_41
| ~ spl0_172 ),
inference(forward_demodulation,[],[f390,f14059]) ).
thf(f24864,plain,
( spl0_53
| ~ spl0_56
| ~ spl0_94 ),
inference(avatar_contradiction_clause,[],[f24863]) ).
thf(f24863,plain,
( $false
| spl0_53
| ~ spl0_56
| ~ spl0_94 ),
inference(subsumption_resolution,[],[f24862,f486]) ).
thf(f24862,plain,
( ( $false != vAPP($o,$o,f0,$true) )
| spl0_53
| ~ spl0_56
| ~ spl0_94 ),
inference(forward_demodulation,[],[f24861,f1676]) ).
thf(f24861,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,$false)) )
| spl0_53
| ~ spl0_56 ),
inference(forward_demodulation,[],[f470,f486]) ).
thf(f470,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| spl0_53 ),
inference(avatar_component_clause,[],[f469]) ).
thf(f24860,plain,
( ~ spl0_56
| spl0_62
| ~ spl0_94 ),
inference(avatar_contradiction_clause,[],[f24859]) ).
thf(f24859,plain,
( $false
| ~ spl0_56
| spl0_62
| ~ spl0_94 ),
inference(subsumption_resolution,[],[f24858,f1676]) ).
thf(f24858,plain,
( ( $true != vAPP($o,$o,f0,$false) )
| ~ spl0_56
| spl0_62 ),
inference(forward_demodulation,[],[f740,f486]) ).
thf(f740,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| spl0_62 ),
inference(avatar_component_clause,[],[f739]) ).
thf(f24416,plain,
( spl0_94
| ~ spl0_16
| ~ spl0_140
| ~ spl0_143
| ~ spl0_166
| ~ spl0_174 ),
inference(avatar_split_clause,[],[f24415,f22938,f7911,f4459,f4388,f118,f1674]) ).
thf(f24415,plain,
( ( $true = vAPP($o,$o,f0,$false) )
| ~ spl0_16
| ~ spl0_140
| ~ spl0_143
| ~ spl0_166
| ~ spl0_174 ),
inference(forward_demodulation,[],[f24414,f7913]) ).
thf(f24414,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ~ spl0_16
| ~ spl0_140
| ~ spl0_143
| ~ spl0_174 ),
inference(forward_demodulation,[],[f24413,f22940]) ).
thf(f24413,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$false))))) )
| ~ spl0_16
| ~ spl0_140
| ~ spl0_143 ),
inference(forward_demodulation,[],[f24406,f4390]) ).
thf(f24406,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$false))))))) )
| ~ spl0_16
| ~ spl0_143 ),
inference(backward_demodulation,[],[f120,f4461]) ).
thf(f24402,plain,
( ~ spl0_93
| spl0_156
| ~ spl0_167 ),
inference(avatar_split_clause,[],[f24401,f8068,f6222,f1668]) ).
thf(f24401,plain,
( ( $false != vAPP($o,$o,f0,$false) )
| spl0_156
| ~ spl0_167 ),
inference(forward_demodulation,[],[f6223,f8070]) ).
thf(f24368,plain,
( ~ spl0_103
| ~ spl0_50
| ~ spl0_65
| ~ spl0_69
| ~ spl0_71
| spl0_81
| ~ spl0_105
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f24367,f2853,f2566,f974,f894,f875,f834,f454,f2413]) ).
thf(f24367,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ~ spl0_50
| ~ spl0_65
| ~ spl0_69
| ~ spl0_71
| spl0_81
| ~ spl0_105
| ~ spl0_114 ),
inference(backward_demodulation,[],[f24305,f24364]) ).
thf(f24364,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$false)))) )
| ~ spl0_50
| ~ spl0_69
| ~ spl0_71
| ~ spl0_105
| ~ spl0_114 ),
inference(forward_demodulation,[],[f24363,f1056]) ).
thf(f24363,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))) )
| ~ spl0_50
| ~ spl0_69
| ~ spl0_71
| ~ spl0_105
| ~ spl0_114 ),
inference(forward_demodulation,[],[f24362,f1056]) ).
thf(f24362,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$false)))))) )
| ~ spl0_50
| ~ spl0_69
| ~ spl0_71
| ~ spl0_105
| ~ spl0_114 ),
inference(forward_demodulation,[],[f24361,f1056]) ).
thf(f24361,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$false))))))) )
| ~ spl0_50
| ~ spl0_105
| ~ spl0_114 ),
inference(forward_demodulation,[],[f23866,f2854]) ).
thf(f23866,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$true)))))))))) )
| ~ spl0_50
| ~ spl0_105 ),
inference(forward_demodulation,[],[f456,f2568]) ).
thf(f24334,plain,
( spl0_93
| ~ spl0_132
| ~ spl0_162
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f24333,f14057,f6339,f3269,f1668]) ).
thf(f24333,plain,
( ( $false = vAPP($o,$o,f0,$false) )
| ~ spl0_132
| ~ spl0_162
| ~ spl0_172 ),
inference(forward_demodulation,[],[f23103,f6341]) ).
thf(f23103,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$false)))))))) )
| ~ spl0_132
| ~ spl0_172 ),
inference(forward_demodulation,[],[f3271,f14059]) ).
thf(f24112,plain,
( ~ spl0_69
| ~ spl0_71
| ~ spl0_79
| ~ spl0_105
| ~ spl0_116
| ~ spl0_120
| spl0_144
| ~ spl0_157
| ~ spl0_168
| ~ spl0_172
| spl0_173 ),
inference(avatar_contradiction_clause,[],[f24111]) ).
thf(f24111,plain,
( $false
| ~ spl0_69
| ~ spl0_71
| ~ spl0_79
| ~ spl0_105
| ~ spl0_116
| ~ spl0_120
| spl0_144
| ~ spl0_157
| ~ spl0_168
| ~ spl0_172
| spl0_173 ),
inference(subsumption_resolution,[],[f24110,f19784]) ).
thf(f24110,plain,
( ( $false = vAPP($o,$o,f2,$false) )
| ~ spl0_69
| ~ spl0_71
| ~ spl0_79
| ~ spl0_105
| ~ spl0_116
| ~ spl0_120
| spl0_144
| ~ spl0_157
| ~ spl0_168
| ~ spl0_172 ),
inference(subsumption_resolution,[],[f24088,f4478]) ).
thf(f24088,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,$true)) )
| ( $false = vAPP($o,$o,f2,$false) )
| ~ spl0_69
| ~ spl0_71
| ~ spl0_79
| ~ spl0_105
| ~ spl0_116
| ~ spl0_120
| ~ spl0_157
| ~ spl0_168
| ~ spl0_172 ),
inference(superposition,[],[f23836,f4]) ).
thf(f23836,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$false))) )
| ~ spl0_69
| ~ spl0_71
| ~ spl0_79
| ~ spl0_105
| ~ spl0_116
| ~ spl0_120
| ~ spl0_157
| ~ spl0_168
| ~ spl0_172 ),
inference(forward_demodulation,[],[f23835,f6228]) ).
thf(f23835,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$false)))) )
| ~ spl0_69
| ~ spl0_71
| ~ spl0_79
| ~ spl0_105
| ~ spl0_116
| ~ spl0_120
| ~ spl0_168
| ~ spl0_172 ),
inference(forward_demodulation,[],[f23834,f1056]) ).
thf(f23834,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))) )
| ~ spl0_69
| ~ spl0_71
| ~ spl0_79
| ~ spl0_105
| ~ spl0_116
| ~ spl0_120
| ~ spl0_168
| ~ spl0_172 ),
inference(forward_demodulation,[],[f23833,f1056]) ).
thf(f23833,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$false)))))) )
| ~ spl0_79
| ~ spl0_105
| ~ spl0_116
| ~ spl0_120
| ~ spl0_168
| ~ spl0_172 ),
inference(forward_demodulation,[],[f23832,f14059]) ).
thf(f23832,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$true))))))) )
| ~ spl0_79
| ~ spl0_105
| ~ spl0_116
| ~ spl0_120
| ~ spl0_168 ),
inference(forward_demodulation,[],[f23831,f3074]) ).
thf(f23831,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,$true)))))))) )
| ~ spl0_79
| ~ spl0_105
| ~ spl0_116
| ~ spl0_168 ),
inference(forward_demodulation,[],[f23830,f2568]) ).
thf(f23830,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,$false))))))))) )
| ~ spl0_79
| ~ spl0_116
| ~ spl0_168 ),
inference(forward_demodulation,[],[f23829,f9125]) ).
thf(f23829,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$true)))))))))) )
| ~ spl0_79
| ~ spl0_116 ),
inference(forward_demodulation,[],[f962,f3024]) ).
thf(f23750,plain,
( spl0_111
| ~ spl0_112
| ~ spl0_120 ),
inference(avatar_split_clause,[],[f23748,f3072,f2673,f2659]) ).
thf(f23748,plain,
( ( $false = vAPP($o,$o,f5,$true) )
| ~ spl0_112
| ~ spl0_120 ),
inference(backward_demodulation,[],[f2674,f3074]) ).
thf(f2674,plain,
( ( $false = vAPP($o,$o,f5,vAPP($o,$o,f5,$true)) )
| ~ spl0_112 ),
inference(avatar_component_clause,[],[f2673]) ).
thf(f23664,plain,
( spl0_88
| ~ spl0_81
| ~ spl0_92
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f23663,f3022,f1663,f974,f1019]) ).
thf(f23663,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$false))) )
| ~ spl0_81
| ~ spl0_92
| ~ spl0_116 ),
inference(forward_demodulation,[],[f1665,f23234]) ).
thf(f23234,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$true))))))))))) )
| ~ spl0_81
| ~ spl0_116 ),
inference(forward_demodulation,[],[f976,f3024]) ).
thf(f23660,plain,
( ~ spl0_93
| ~ spl0_81
| spl0_86
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f23659,f3022,f1001,f974,f1668]) ).
thf(f23659,plain,
( ( $false != vAPP($o,$o,f0,$false) )
| ~ spl0_81
| spl0_86
| ~ spl0_116 ),
inference(forward_demodulation,[],[f23191,f23234]) ).
thf(f23191,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$true)))))))))))) )
| spl0_86
| ~ spl0_116 ),
inference(forward_demodulation,[],[f1002,f3024]) ).
thf(f23635,plain,
( spl0_112
| ~ spl0_11
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f23629,f3022,f96,f2673]) ).
thf(f23629,plain,
( ( $false = vAPP($o,$o,f5,vAPP($o,$o,f5,$true)) )
| ~ spl0_11
| ~ spl0_116 ),
inference(forward_demodulation,[],[f98,f3024]) ).
thf(f23634,plain,
( spl0_93
| ~ spl0_160
| ~ spl0_161 ),
inference(avatar_split_clause,[],[f23535,f6329,f6325,f1668]) ).
thf(f6329,plain,
( spl0_161
<=> ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$false)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).
thf(f23535,plain,
( ( $false = vAPP($o,$o,f0,$false) )
| ~ spl0_160
| ~ spl0_161 ),
inference(backward_demodulation,[],[f6331,f6327]) ).
thf(f6327,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$false))) )
| ~ spl0_160 ),
inference(avatar_component_clause,[],[f6325]) ).
thf(f6331,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$false)))) )
| ~ spl0_161 ),
inference(avatar_component_clause,[],[f6329]) ).
thf(f23480,plain,
( spl0_154
| ~ spl0_27
| ~ spl0_91
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f23479,f3022,f1658,f168,f5828]) ).
thf(f23479,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ~ spl0_27
| ~ spl0_91
| ~ spl0_116 ),
inference(forward_demodulation,[],[f1660,f23349]) ).
thf(f23349,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true)))))))))) )
| ~ spl0_27
| ~ spl0_116 ),
inference(forward_demodulation,[],[f170,f3024]) ).
thf(f23463,plain,
( ~ spl0_103
| ~ spl0_27
| spl0_29
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f23462,f3022,f177,f168,f2413]) ).
thf(f23462,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ~ spl0_27
| spl0_29
| ~ spl0_116 ),
inference(forward_demodulation,[],[f23337,f23349]) ).
thf(f23337,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true))))))))))) )
| spl0_29
| ~ spl0_116 ),
inference(forward_demodulation,[],[f178,f3024]) ).
thf(f23458,plain,
( ~ spl0_34
| spl0_3
| ~ spl0_116
| ~ spl0_121 ),
inference(avatar_split_clause,[],[f23421,f3084,f3022,f19,f340]) ).
thf(f23421,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,$true)))))))))))) )
| spl0_3
| ~ spl0_116
| ~ spl0_121 ),
inference(forward_demodulation,[],[f23420,f3086]) ).
thf(f23420,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,$true))))))))))))) )
| spl0_3
| ~ spl0_116
| ~ spl0_121 ),
inference(forward_demodulation,[],[f23419,f3086]) ).
thf(f23419,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$true)))))))))))))) )
| spl0_3
| ~ spl0_116 ),
inference(forward_demodulation,[],[f20,f3024]) ).
thf(f23170,plain,
( ~ spl0_91
| spl0_93
| ~ spl0_103
| ~ spl0_120
| ~ spl0_157
| ~ spl0_172
| ~ spl0_174 ),
inference(avatar_contradiction_clause,[],[f23169]) ).
thf(f23169,plain,
( $false
| ~ spl0_91
| spl0_93
| ~ spl0_103
| ~ spl0_120
| ~ spl0_157
| ~ spl0_172
| ~ spl0_174 ),
inference(subsumption_resolution,[],[f23168,f1669]) ).
thf(f23168,plain,
( ( $false = vAPP($o,$o,f0,$false) )
| ~ spl0_91
| ~ spl0_103
| ~ spl0_120
| ~ spl0_157
| ~ spl0_172
| ~ spl0_174 ),
inference(forward_demodulation,[],[f23167,f2415]) ).
thf(f23167,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ~ spl0_91
| ~ spl0_103
| ~ spl0_120
| ~ spl0_157
| ~ spl0_172
| ~ spl0_174 ),
inference(forward_demodulation,[],[f23166,f2415]) ).
thf(f23166,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ~ spl0_91
| ~ spl0_120
| ~ spl0_157
| ~ spl0_172
| ~ spl0_174 ),
inference(forward_demodulation,[],[f23165,f22940]) ).
thf(f23165,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$false))))) )
| ~ spl0_91
| ~ spl0_120
| ~ spl0_157
| ~ spl0_172 ),
inference(forward_demodulation,[],[f23164,f6228]) ).
thf(f23164,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$false)))))) )
| ~ spl0_91
| ~ spl0_120
| ~ spl0_157
| ~ spl0_172 ),
inference(forward_demodulation,[],[f23163,f6228]) ).
thf(f23163,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$false))))))) )
| ~ spl0_91
| ~ spl0_120
| ~ spl0_157
| ~ spl0_172 ),
inference(forward_demodulation,[],[f23162,f6228]) ).
thf(f23162,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$false)))))))) )
| ~ spl0_91
| ~ spl0_120
| ~ spl0_172 ),
inference(forward_demodulation,[],[f23161,f14059]) ).
thf(f23161,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))))))))) )
| ~ spl0_91
| ~ spl0_120 ),
inference(forward_demodulation,[],[f23160,f3074]) ).
thf(f23160,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$true)))))))))) )
| ~ spl0_91
| ~ spl0_120 ),
inference(forward_demodulation,[],[f23159,f3074]) ).
thf(f23159,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$true))))))))))) )
| ~ spl0_91
| ~ spl0_120 ),
inference(forward_demodulation,[],[f1660,f3074]) ).
thf(f23117,plain,
( spl0_93
| ~ spl0_131
| ~ spl0_157
| ~ spl0_166
| ~ spl0_174 ),
inference(avatar_contradiction_clause,[],[f23116]) ).
thf(f23116,plain,
( $false
| spl0_93
| ~ spl0_131
| ~ spl0_157
| ~ spl0_166
| ~ spl0_174 ),
inference(subsumption_resolution,[],[f23115,f1669]) ).
thf(f23115,plain,
( ( $false = vAPP($o,$o,f0,$false) )
| ~ spl0_131
| ~ spl0_157
| ~ spl0_166
| ~ spl0_174 ),
inference(forward_demodulation,[],[f23114,f7913]) ).
thf(f23114,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ~ spl0_131
| ~ spl0_157
| ~ spl0_174 ),
inference(forward_demodulation,[],[f23113,f22940]) ).
thf(f23113,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$false))))) )
| ~ spl0_131
| ~ spl0_157 ),
inference(forward_demodulation,[],[f23112,f6228]) ).
thf(f23112,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$false)))))) )
| ~ spl0_131
| ~ spl0_157 ),
inference(forward_demodulation,[],[f23111,f6228]) ).
thf(f23111,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$false))))))) )
| ~ spl0_131
| ~ spl0_157 ),
inference(forward_demodulation,[],[f3265,f6228]) ).
thf(f23110,plain,
( spl0_93
| ~ spl0_132
| ~ spl0_157
| ~ spl0_166
| ~ spl0_172
| ~ spl0_174 ),
inference(avatar_contradiction_clause,[],[f23109]) ).
thf(f23109,plain,
( $false
| spl0_93
| ~ spl0_132
| ~ spl0_157
| ~ spl0_166
| ~ spl0_172
| ~ spl0_174 ),
inference(subsumption_resolution,[],[f23108,f1669]) ).
thf(f23108,plain,
( ( $false = vAPP($o,$o,f0,$false) )
| ~ spl0_132
| ~ spl0_157
| ~ spl0_166
| ~ spl0_172
| ~ spl0_174 ),
inference(forward_demodulation,[],[f23107,f7913]) ).
thf(f23107,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ~ spl0_132
| ~ spl0_157
| ~ spl0_172
| ~ spl0_174 ),
inference(forward_demodulation,[],[f23106,f22940]) ).
thf(f23106,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$false))))) )
| ~ spl0_132
| ~ spl0_157
| ~ spl0_172 ),
inference(forward_demodulation,[],[f23105,f6228]) ).
thf(f23105,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$false)))))) )
| ~ spl0_132
| ~ spl0_157
| ~ spl0_172 ),
inference(forward_demodulation,[],[f23104,f6228]) ).
thf(f23104,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$false))))))) )
| ~ spl0_132
| ~ spl0_157
| ~ spl0_172 ),
inference(forward_demodulation,[],[f23103,f6228]) ).
thf(f23067,plain,
( ~ spl0_157
| spl0_162
| ~ spl0_166
| ~ spl0_174 ),
inference(avatar_contradiction_clause,[],[f23066]) ).
thf(f23066,plain,
( $false
| ~ spl0_157
| spl0_162
| ~ spl0_166
| ~ spl0_174 ),
inference(subsumption_resolution,[],[f23065,f7913]) ).
thf(f23065,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,$false)) )
| ~ spl0_157
| spl0_162
| ~ spl0_174 ),
inference(forward_demodulation,[],[f23064,f22940]) ).
thf(f23064,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$false)))) )
| ~ spl0_157
| spl0_162 ),
inference(forward_demodulation,[],[f23063,f6228]) ).
thf(f23063,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$false))))) )
| ~ spl0_157
| spl0_162 ),
inference(forward_demodulation,[],[f23062,f6228]) ).
thf(f23062,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$false)))))) )
| ~ spl0_157
| spl0_162 ),
inference(forward_demodulation,[],[f6340,f6228]) ).
thf(f23037,plain,
( spl0_174
| ~ spl0_25
| ~ spl0_116
| ~ spl0_120
| ~ spl0_157
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f23036,f14057,f6226,f3072,f3022,f159,f22938]) ).
thf(f23036,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,$false)) )
| ~ spl0_25
| ~ spl0_116
| ~ spl0_120
| ~ spl0_157
| ~ spl0_172 ),
inference(forward_demodulation,[],[f23035,f6228]) ).
thf(f23035,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$false))) )
| ~ spl0_25
| ~ spl0_116
| ~ spl0_120
| ~ spl0_157
| ~ spl0_172 ),
inference(forward_demodulation,[],[f23034,f6228]) ).
thf(f23034,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$false)))) )
| ~ spl0_25
| ~ spl0_116
| ~ spl0_120
| ~ spl0_157
| ~ spl0_172 ),
inference(forward_demodulation,[],[f23033,f6228]) ).
thf(f23033,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$false))))) )
| ~ spl0_25
| ~ spl0_116
| ~ spl0_120
| ~ spl0_172 ),
inference(forward_demodulation,[],[f23032,f14059]) ).
thf(f23032,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$true)))))) )
| ~ spl0_25
| ~ spl0_116
| ~ spl0_120 ),
inference(forward_demodulation,[],[f23031,f3074]) ).
thf(f23031,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$true))))))) )
| ~ spl0_25
| ~ spl0_116
| ~ spl0_120 ),
inference(forward_demodulation,[],[f23030,f3074]) ).
thf(f23030,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$true)))))))) )
| ~ spl0_25
| ~ spl0_116
| ~ spl0_120 ),
inference(forward_demodulation,[],[f23029,f3074]) ).
thf(f23029,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true))))))))) )
| ~ spl0_25
| ~ spl0_116 ),
inference(forward_demodulation,[],[f161,f3024]) ).
thf(f22984,plain,
( spl0_94
| ~ spl0_24
| ~ spl0_99
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f22983,f2417,f2163,f154,f1674]) ).
thf(f22983,plain,
( ( $true = vAPP($o,$o,f0,$false) )
| ~ spl0_24
| ~ spl0_99
| ~ spl0_104 ),
inference(forward_demodulation,[],[f22982,f2419]) ).
thf(f22982,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ~ spl0_24
| ~ spl0_99
| ~ spl0_104 ),
inference(forward_demodulation,[],[f22976,f2165]) ).
thf(f22976,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ~ spl0_24
| ~ spl0_104 ),
inference(backward_demodulation,[],[f156,f2419]) ).
thf(f22957,plain,
( ~ spl0_56
| ~ spl0_28
| spl0_161
| spl0_173 ),
inference(avatar_split_clause,[],[f22956,f19783,f6329,f172,f484]) ).
thf(f22956,plain,
( ( $false != vAPP($o,$o,f0,$true) )
| ~ spl0_28
| spl0_161
| spl0_173 ),
inference(backward_demodulation,[],[f22209,f174]) ).
thf(f22209,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true))) )
| spl0_161
| spl0_173 ),
inference(subsumption_resolution,[],[f22195,f19784]) ).
thf(f22195,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true))) )
| ( $false = vAPP($o,$o,f2,$false) )
| spl0_161 ),
inference(superposition,[],[f6330,f4]) ).
thf(f6330,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$false)))) )
| spl0_161 ),
inference(avatar_component_clause,[],[f6329]) ).
thf(f22954,plain,
( ~ spl0_169
| ~ spl0_17
| spl0_27
| ~ spl0_116
| ~ spl0_157
| spl0_173 ),
inference(avatar_split_clause,[],[f22672,f19783,f6226,f3022,f168,f123,f9659]) ).
thf(f22672,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) )
| ~ spl0_17
| spl0_27
| ~ spl0_116
| ~ spl0_157
| spl0_173 ),
inference(subsumption_resolution,[],[f22663,f19784]) ).
thf(f22663,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) )
| ( $false = vAPP($o,$o,f2,$false) )
| ~ spl0_17
| spl0_27
| ~ spl0_116
| ~ spl0_157 ),
inference(superposition,[],[f20763,f4]) ).
thf(f20763,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$false))) )
| ~ spl0_17
| spl0_27
| ~ spl0_116
| ~ spl0_157 ),
inference(forward_demodulation,[],[f20762,f6228]) ).
thf(f20762,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$false)))) )
| ~ spl0_17
| spl0_27
| ~ spl0_116
| ~ spl0_157 ),
inference(forward_demodulation,[],[f20761,f6228]) ).
thf(f20761,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$false))))) )
| ~ spl0_17
| spl0_27
| ~ spl0_116 ),
inference(forward_demodulation,[],[f18042,f20118]) ).
thf(f20118,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true))))) )
| ~ spl0_17
| ~ spl0_116 ),
inference(forward_demodulation,[],[f125,f3024]) ).
thf(f18042,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true)))))))))) )
| spl0_27
| ~ spl0_116 ),
inference(forward_demodulation,[],[f169,f3024]) ).
thf(f22947,plain,
( ~ spl0_104
| ~ spl0_73
| spl0_81
| ~ spl0_116
| ~ spl0_121
| ~ spl0_126
| spl0_144
| spl0_173 ),
inference(avatar_split_clause,[],[f22946,f19783,f4476,f3126,f3084,f3022,f974,f912,f2417]) ).
thf(f22946,plain,
( ( $false != vAPP($o,$o,f1,$true) )
| ~ spl0_73
| spl0_81
| ~ spl0_116
| ~ spl0_121
| ~ spl0_126
| spl0_144
| spl0_173 ),
inference(subsumption_resolution,[],[f22075,f4478]) ).
thf(f22075,plain,
( ( $false != vAPP($o,$o,f1,$true) )
| ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,$true)) )
| ~ spl0_73
| spl0_81
| ~ spl0_116
| ~ spl0_121
| ~ spl0_126
| spl0_173 ),
inference(superposition,[],[f21917,f4]) ).
thf(f21917,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))) )
| ~ spl0_73
| spl0_81
| ~ spl0_116
| ~ spl0_121
| ~ spl0_126
| spl0_173 ),
inference(subsumption_resolution,[],[f21910,f19784]) ).
thf(f21910,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))) )
| ( $false = vAPP($o,$o,f2,$false) )
| ~ spl0_73
| spl0_81
| ~ spl0_116
| ~ spl0_121
| ~ spl0_126 ),
inference(superposition,[],[f20759,f4]) ).
thf(f20759,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$false)))) )
| ~ spl0_73
| spl0_81
| ~ spl0_116
| ~ spl0_121
| ~ spl0_126 ),
inference(forward_demodulation,[],[f18240,f19995]) ).
thf(f19995,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,$true))))) )
| ~ spl0_73
| ~ spl0_116
| ~ spl0_121 ),
inference(forward_demodulation,[],[f19994,f3086]) ).
thf(f19994,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,$true)))))) )
| ~ spl0_73
| ~ spl0_116
| ~ spl0_121 ),
inference(forward_demodulation,[],[f19993,f3086]) ).
thf(f19993,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$true))))))) )
| ~ spl0_73
| ~ spl0_116 ),
inference(forward_demodulation,[],[f914,f3024]) ).
thf(f18240,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,$true))))))))) )
| spl0_81
| ~ spl0_116
| ~ spl0_126 ),
inference(backward_demodulation,[],[f17885,f3128]) ).
thf(f17885,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$true))))))))))) )
| spl0_81
| ~ spl0_116 ),
inference(forward_demodulation,[],[f975,f3024]) ).
thf(f22943,plain,
( spl0_174
| ~ spl0_104
| ~ spl0_17
| spl0_27
| ~ spl0_116
| ~ spl0_157 ),
inference(avatar_split_clause,[],[f22667,f6226,f3022,f168,f123,f2417,f22938]) ).
thf(f22667,plain,
( ( $false != vAPP($o,$o,f1,$true) )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,$false)) )
| ~ spl0_17
| spl0_27
| ~ spl0_116
| ~ spl0_157 ),
inference(superposition,[],[f20763,f4]) ).
thf(f22560,plain,
( ~ spl0_91
| spl0_4
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f21447,f3022,f23,f1658]) ).
thf(f21447,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true)))))))))))) )
| spl0_4
| ~ spl0_116 ),
inference(forward_demodulation,[],[f24,f3024]) ).
thf(f22559,plain,
( spl0_8
| ~ spl0_2
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f21472,f3022,f14,f82]) ).
thf(f21472,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true)))))))))))) )
| ~ spl0_2
| ~ spl0_116 ),
inference(forward_demodulation,[],[f16,f3024]) ).
thf(f22287,plain,
( spl0_31
| ~ spl0_113 ),
inference(avatar_contradiction_clause,[],[f22286]) ).
thf(f22286,plain,
( $false
| spl0_31
| ~ spl0_113 ),
inference(subsumption_resolution,[],[f22282,f2851]) ).
thf(f22282,plain,
( ( $false != vAPP($o,$o,f6,$false) )
| spl0_31
| ~ spl0_113 ),
inference(backward_demodulation,[],[f328,f2851]) ).
thf(f328,plain,
( ( $false != vAPP($o,$o,f6,vAPP($o,$o,f6,$false)) )
| spl0_31 ),
inference(avatar_component_clause,[],[f327]) ).
thf(f21309,plain,
( spl0_104
| ~ spl0_17
| ~ spl0_25
| ~ spl0_116
| ~ spl0_157
| spl0_173 ),
inference(avatar_split_clause,[],[f21308,f19783,f6226,f3022,f159,f123,f2417]) ).
thf(f21308,plain,
( ( $false = vAPP($o,$o,f1,$true) )
| ~ spl0_17
| ~ spl0_25
| ~ spl0_116
| ~ spl0_157
| spl0_173 ),
inference(subsumption_resolution,[],[f21178,f19784]) ).
thf(f21178,plain,
( ( $false = vAPP($o,$o,f1,$true) )
| ( $false = vAPP($o,$o,f2,$false) )
| ~ spl0_17
| ~ spl0_25
| ~ spl0_116
| ~ spl0_157 ),
inference(superposition,[],[f20692,f4]) ).
thf(f20692,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,$false)) )
| ~ spl0_17
| ~ spl0_25
| ~ spl0_116
| ~ spl0_157 ),
inference(forward_demodulation,[],[f20691,f6228]) ).
thf(f20691,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$false))) )
| ~ spl0_17
| ~ spl0_25
| ~ spl0_116
| ~ spl0_157 ),
inference(forward_demodulation,[],[f20688,f6228]) ).
thf(f20688,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$false)))) )
| ~ spl0_17
| ~ spl0_25
| ~ spl0_116 ),
inference(backward_demodulation,[],[f20476,f20118]) ).
thf(f20476,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true))))))))) )
| ~ spl0_25
| ~ spl0_116 ),
inference(forward_demodulation,[],[f161,f3024]) ).
thf(f20765,plain,
( spl0_171
| ~ spl0_67
| ~ spl0_116
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f17718,f3126,f3022,f855,f14053]) ).
thf(f17718,plain,
( ( $false = vAPP($o,$o,f4,vAPP($o,$o,f5,$true)) )
| ~ spl0_67
| ~ spl0_116
| ~ spl0_126 ),
inference(backward_demodulation,[],[f16815,f3128]) ).
thf(f16815,plain,
( ( $false = vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$true)))) )
| ~ spl0_67
| ~ spl0_116 ),
inference(forward_demodulation,[],[f857,f3024]) ).
thf(f20474,plain,
( spl0_25
| ~ spl0_104
| ~ spl0_116
| ~ spl0_120
| ~ spl0_140
| ~ spl0_157
| ~ spl0_172
| spl0_173 ),
inference(avatar_contradiction_clause,[],[f20473]) ).
thf(f20473,plain,
( $false
| spl0_25
| ~ spl0_104
| ~ spl0_116
| ~ spl0_120
| ~ spl0_140
| ~ spl0_157
| ~ spl0_172
| spl0_173 ),
inference(subsumption_resolution,[],[f20472,f19784]) ).
thf(f20472,plain,
( ( $false = vAPP($o,$o,f2,$false) )
| spl0_25
| ~ spl0_104
| ~ spl0_116
| ~ spl0_120
| ~ spl0_140
| ~ spl0_157
| ~ spl0_172 ),
inference(subsumption_resolution,[],[f20467,f2419]) ).
thf(f20467,plain,
( ( $false != vAPP($o,$o,f1,$true) )
| ( $false = vAPP($o,$o,f2,$false) )
| spl0_25
| ~ spl0_116
| ~ spl0_120
| ~ spl0_140
| ~ spl0_157
| ~ spl0_172 ),
inference(superposition,[],[f19827,f4]) ).
thf(f19827,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,$false)) )
| spl0_25
| ~ spl0_116
| ~ spl0_120
| ~ spl0_140
| ~ spl0_157
| ~ spl0_172 ),
inference(backward_demodulation,[],[f19801,f6228]) ).
thf(f19801,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$false))) )
| spl0_25
| ~ spl0_116
| ~ spl0_120
| ~ spl0_140
| ~ spl0_172 ),
inference(forward_demodulation,[],[f18375,f4390]) ).
thf(f18375,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$false))))) )
| spl0_25
| ~ spl0_116
| ~ spl0_120
| ~ spl0_172 ),
inference(forward_demodulation,[],[f18374,f14059]) ).
thf(f18374,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$true)))))) )
| spl0_25
| ~ spl0_116
| ~ spl0_120 ),
inference(forward_demodulation,[],[f18373,f3074]) ).
thf(f18373,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$true))))))) )
| spl0_25
| ~ spl0_116
| ~ spl0_120 ),
inference(forward_demodulation,[],[f18372,f3074]) ).
thf(f18372,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$true)))))))) )
| spl0_25
| ~ spl0_116
| ~ spl0_120 ),
inference(forward_demodulation,[],[f18371,f3074]) ).
thf(f18371,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true))))))))) )
| spl0_25
| ~ spl0_116 ),
inference(forward_demodulation,[],[f160,f3024]) ).
thf(f20466,plain,
( ~ spl0_104
| ~ spl0_151 ),
inference(avatar_contradiction_clause,[],[f20465]) ).
thf(f20465,plain,
( $false
| ~ spl0_104
| ~ spl0_151 ),
inference(trivial_inequality_removal,[],[f20464]) ).
thf(f20464,plain,
( ( $true = $false )
| ~ spl0_104
| ~ spl0_151 ),
inference(duplicate_literal_removal,[],[f20453]) ).
thf(f20453,plain,
( ( $true = $false )
| ( $true = $false )
| ~ spl0_104
| ~ spl0_151 ),
inference(superposition,[],[f2419,f5165]) ).
thf(f19882,plain,
( ~ spl0_173
| spl0_101
| ~ spl0_157 ),
inference(avatar_split_clause,[],[f19881,f6226,f2231,f19783]) ).
thf(f19881,plain,
( ( $false != vAPP($o,$o,f2,$false) )
| spl0_101
| ~ spl0_157 ),
inference(forward_demodulation,[],[f2232,f6228]) ).
thf(f19856,plain,
( ~ spl0_173
| spl0_137
| ~ spl0_157 ),
inference(avatar_split_clause,[],[f19855,f6226,f4036,f19783]) ).
thf(f19855,plain,
( ( $false != vAPP($o,$o,f2,$false) )
| spl0_137
| ~ spl0_157 ),
inference(forward_demodulation,[],[f19854,f6228]) ).
thf(f19854,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f3,$false)) )
| spl0_137
| ~ spl0_157 ),
inference(forward_demodulation,[],[f19853,f6228]) ).
thf(f19853,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$false))) )
| spl0_137
| ~ spl0_157 ),
inference(forward_demodulation,[],[f4037,f6228]) ).
thf(f19843,plain,
( spl0_173
| ~ spl0_102
| ~ spl0_144 ),
inference(avatar_split_clause,[],[f19842,f4476,f2235,f19783]) ).
thf(f19842,plain,
( ( $false = vAPP($o,$o,f2,$false) )
| ~ spl0_102
| ~ spl0_144 ),
inference(forward_demodulation,[],[f4477,f2237]) ).
thf(f19796,plain,
( spl0_137
| ~ spl0_23
| ~ spl0_116
| ~ spl0_120
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f17254,f14057,f3072,f3022,f150,f4036]) ).
thf(f17254,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$false)))) )
| ~ spl0_23
| ~ spl0_116
| ~ spl0_120
| ~ spl0_172 ),
inference(forward_demodulation,[],[f17253,f14059]) ).
thf(f17253,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))))) )
| ~ spl0_23
| ~ spl0_116
| ~ spl0_120 ),
inference(forward_demodulation,[],[f17252,f3074]) ).
thf(f17252,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$true)))))) )
| ~ spl0_23
| ~ spl0_116
| ~ spl0_120 ),
inference(forward_demodulation,[],[f17251,f3074]) ).
thf(f17251,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$true))))))) )
| ~ spl0_23
| ~ spl0_116
| ~ spl0_120 ),
inference(forward_demodulation,[],[f17250,f3074]) ).
thf(f17250,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true)))))))) )
| ~ spl0_23
| ~ spl0_116 ),
inference(forward_demodulation,[],[f152,f3024]) ).
thf(f19792,plain,
( spl0_173
| spl0_80
| ~ spl0_76
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f19308,f2235,f933,f964,f19783]) ).
thf(f19308,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( $false = vAPP($o,$o,f2,$false) )
| ~ spl0_76
| ~ spl0_102 ),
inference(superposition,[],[f18632,f4]) ).
thf(f18632,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$false))))) )
| ~ spl0_76
| ~ spl0_102 ),
inference(forward_demodulation,[],[f935,f2237]) ).
thf(f19073,plain,
( spl0_113
| spl0_105 ),
inference(avatar_split_clause,[],[f19070,f2566,f2849]) ).
thf(f19070,plain,
( ( $false = vAPP($o,$o,f6,$false) )
| spl0_105 ),
inference(trivial_inequality_removal,[],[f19069]) ).
thf(f19069,plain,
( ( $true != $true )
| ( $false = vAPP($o,$o,f6,$false) )
| spl0_105 ),
inference(superposition,[],[f2567,f4]) ).
thf(f2567,plain,
( ( $true != vAPP($o,$o,f6,$false) )
| spl0_105 ),
inference(avatar_component_clause,[],[f2566]) ).
thf(f18284,plain,
( spl0_104
| ~ spl0_150
| ~ spl0_169 ),
inference(avatar_split_clause,[],[f18281,f9659,f5113,f2417]) ).
thf(f18281,plain,
( ( $false = vAPP($o,$o,f1,$true) )
| ~ spl0_150
| ~ spl0_169 ),
inference(backward_demodulation,[],[f9661,f5115]) ).
thf(f18237,plain,
( ~ spl0_30
| ~ spl0_84
| spl0_87
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f18236,f3022,f1009,f991,f181]) ).
thf(f18236,plain,
( ( $true != vAPP($o,$o,f0,$true) )
| ~ spl0_84
| spl0_87
| ~ spl0_116 ),
inference(forward_demodulation,[],[f17823,f17861]) ).
thf(f17861,plain,
( ( $true = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$true))))))))))) )
| ~ spl0_84
| ~ spl0_116 ),
inference(forward_demodulation,[],[f993,f3024]) ).
thf(f993,plain,
( ( vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x)))))))))))) = $true )
| ~ spl0_84 ),
inference(avatar_component_clause,[],[f991]) ).
thf(f17823,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$true)))))))))))) )
| spl0_87
| ~ spl0_116 ),
inference(forward_demodulation,[],[f1010,f3024]) ).
thf(f18231,plain,
( spl0_56
| ~ spl0_3
| ~ spl0_83
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f18230,f3022,f987,f19,f484]) ).
thf(f18230,plain,
( ( $false = vAPP($o,$o,f0,$true) )
| ~ spl0_3
| ~ spl0_83
| ~ spl0_116 ),
inference(backward_demodulation,[],[f18149,f17872]) ).
thf(f17872,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$true))))))))))))) )
| ~ spl0_83
| ~ spl0_116 ),
inference(forward_demodulation,[],[f989,f3024]) ).
thf(f989,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x)))))))))))))) = $true )
| ~ spl0_83 ),
inference(avatar_component_clause,[],[f987]) ).
thf(f18149,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$true)))))))))))))) )
| ~ spl0_3
| ~ spl0_116 ),
inference(backward_demodulation,[],[f21,f3024]) ).
thf(f18067,plain,
( ~ spl0_21
| ~ spl0_116
| ~ spl0_120
| ~ spl0_138
| spl0_164
| ~ spl0_172 ),
inference(avatar_contradiction_clause,[],[f18066]) ).
thf(f18066,plain,
( $false
| ~ spl0_21
| ~ spl0_116
| ~ spl0_120
| ~ spl0_138
| spl0_164
| ~ spl0_172 ),
inference(subsumption_resolution,[],[f18065,f7257]) ).
thf(f18065,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f3,$true)) )
| ~ spl0_21
| ~ spl0_116
| ~ spl0_120
| ~ spl0_138
| ~ spl0_172 ),
inference(forward_demodulation,[],[f18064,f4314]) ).
thf(f18064,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$false))) )
| ~ spl0_21
| ~ spl0_116
| ~ spl0_120
| ~ spl0_172 ),
inference(forward_demodulation,[],[f18063,f14059]) ).
thf(f18063,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$true)))) )
| ~ spl0_21
| ~ spl0_116
| ~ spl0_120 ),
inference(forward_demodulation,[],[f18062,f3074]) ).
thf(f18062,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$true))))) )
| ~ spl0_21
| ~ spl0_116
| ~ spl0_120 ),
inference(forward_demodulation,[],[f18061,f3074]) ).
thf(f18061,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$true)))))) )
| ~ spl0_21
| ~ spl0_116
| ~ spl0_120 ),
inference(forward_demodulation,[],[f18060,f3074]) ).
thf(f18060,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true))))))) )
| ~ spl0_21
| ~ spl0_116 ),
inference(forward_demodulation,[],[f143,f3024]) ).
thf(f17697,plain,
( spl0_103
| ~ spl0_137
| ~ spl0_138
| ~ spl0_166
| ~ spl0_167 ),
inference(avatar_split_clause,[],[f17694,f8068,f7911,f4312,f4036,f2413]) ).
thf(f17694,plain,
( ( $false = vAPP($o,$o,f1,$false) )
| ~ spl0_137
| ~ spl0_138
| ~ spl0_166
| ~ spl0_167 ),
inference(backward_demodulation,[],[f17451,f7913]) ).
thf(f17451,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ~ spl0_137
| ~ spl0_138
| ~ spl0_167 ),
inference(backward_demodulation,[],[f8070,f17449]) ).
thf(f17449,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$true))) )
| ~ spl0_137
| ~ spl0_138 ),
inference(backward_demodulation,[],[f4038,f4314]) ).
thf(f17685,plain,
( spl0_103
| ~ spl0_25
| ~ spl0_116
| ~ spl0_120
| ~ spl0_137
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f17372,f14057,f4036,f3072,f3022,f159,f2413]) ).
thf(f17372,plain,
( ( $false = vAPP($o,$o,f1,$false) )
| ~ spl0_25
| ~ spl0_116
| ~ spl0_120
| ~ spl0_137
| ~ spl0_172 ),
inference(forward_demodulation,[],[f17240,f4038]) ).
thf(f17240,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$false))))) )
| ~ spl0_25
| ~ spl0_116
| ~ spl0_120
| ~ spl0_172 ),
inference(forward_demodulation,[],[f17239,f14059]) ).
thf(f17239,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$true)))))) )
| ~ spl0_25
| ~ spl0_116
| ~ spl0_120 ),
inference(forward_demodulation,[],[f17238,f3074]) ).
thf(f17238,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$true))))))) )
| ~ spl0_25
| ~ spl0_116
| ~ spl0_120 ),
inference(forward_demodulation,[],[f17237,f3074]) ).
thf(f17237,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$true)))))))) )
| ~ spl0_25
| ~ spl0_116
| ~ spl0_120 ),
inference(forward_demodulation,[],[f17236,f3074]) ).
thf(f17236,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true))))))))) )
| ~ spl0_25
| ~ spl0_116 ),
inference(forward_demodulation,[],[f161,f3024]) ).
thf(f17628,plain,
( ~ spl0_4
| spl0_93
| ~ spl0_103
| ~ spl0_116
| ~ spl0_120
| ~ spl0_137
| ~ spl0_138
| ~ spl0_172 ),
inference(avatar_contradiction_clause,[],[f17627]) ).
thf(f17627,plain,
( $false
| ~ spl0_4
| spl0_93
| ~ spl0_103
| ~ spl0_116
| ~ spl0_120
| ~ spl0_137
| ~ spl0_138
| ~ spl0_172 ),
inference(subsumption_resolution,[],[f17626,f1669]) ).
thf(f17626,plain,
( ( $false = vAPP($o,$o,f0,$false) )
| ~ spl0_4
| ~ spl0_103
| ~ spl0_116
| ~ spl0_120
| ~ spl0_137
| ~ spl0_138
| ~ spl0_172 ),
inference(forward_demodulation,[],[f17625,f2415]) ).
thf(f17625,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ~ spl0_4
| ~ spl0_103
| ~ spl0_116
| ~ spl0_120
| ~ spl0_137
| ~ spl0_138
| ~ spl0_172 ),
inference(forward_demodulation,[],[f17624,f2415]) ).
thf(f17624,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ~ spl0_4
| ~ spl0_103
| ~ spl0_116
| ~ spl0_120
| ~ spl0_137
| ~ spl0_138
| ~ spl0_172 ),
inference(forward_demodulation,[],[f17623,f2415]) ).
thf(f17623,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ~ spl0_4
| ~ spl0_116
| ~ spl0_120
| ~ spl0_137
| ~ spl0_138
| ~ spl0_172 ),
inference(forward_demodulation,[],[f17622,f17449]) ).
thf(f17622,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$true))))))) )
| ~ spl0_4
| ~ spl0_116
| ~ spl0_120
| ~ spl0_138
| ~ spl0_172 ),
inference(forward_demodulation,[],[f17621,f4314]) ).
thf(f17621,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$false)))))))) )
| ~ spl0_4
| ~ spl0_116
| ~ spl0_120
| ~ spl0_172 ),
inference(forward_demodulation,[],[f17620,f14059]) ).
thf(f17620,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))))))))) )
| ~ spl0_4
| ~ spl0_116
| ~ spl0_120 ),
inference(forward_demodulation,[],[f17619,f3074]) ).
thf(f17619,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$true)))))))))) )
| ~ spl0_4
| ~ spl0_116
| ~ spl0_120 ),
inference(forward_demodulation,[],[f17618,f3074]) ).
thf(f17618,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$true))))))))))) )
| ~ spl0_4
| ~ spl0_116
| ~ spl0_120 ),
inference(forward_demodulation,[],[f17617,f3074]) ).
thf(f17617,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true)))))))))))) )
| ~ spl0_4
| ~ spl0_116 ),
inference(forward_demodulation,[],[f25,f3024]) ).
thf(f17450,plain,
( spl0_102
| ~ spl0_101
| ~ spl0_138 ),
inference(avatar_split_clause,[],[f17448,f4312,f2231,f2235]) ).
thf(f17448,plain,
( ( $false = vAPP($o,$o,f2,$true) )
| ~ spl0_101
| ~ spl0_138 ),
inference(backward_demodulation,[],[f2233,f4314]) ).
thf(f17422,plain,
( spl0_93
| ~ spl0_156
| ~ spl0_167 ),
inference(avatar_contradiction_clause,[],[f17421]) ).
thf(f17421,plain,
( $false
| spl0_93
| ~ spl0_156
| ~ spl0_167 ),
inference(subsumption_resolution,[],[f17420,f1669]) ).
thf(f17420,plain,
( ( $false = vAPP($o,$o,f0,$false) )
| ~ spl0_156
| ~ spl0_167 ),
inference(forward_demodulation,[],[f6224,f8070]) ).
thf(f17388,plain,
( ~ spl0_157
| spl0_17
| ~ spl0_116
| ~ spl0_120
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f17002,f14057,f3072,f3022,f123,f6226]) ).
thf(f17002,plain,
( ( $false != vAPP($o,$o,f3,$false) )
| spl0_17
| ~ spl0_116
| ~ spl0_120
| ~ spl0_172 ),
inference(backward_demodulation,[],[f16902,f14059]) ).
thf(f16902,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,$true)) )
| spl0_17
| ~ spl0_116
| ~ spl0_120 ),
inference(forward_demodulation,[],[f16901,f3074]) ).
thf(f16901,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$true))) )
| spl0_17
| ~ spl0_116
| ~ spl0_120 ),
inference(forward_demodulation,[],[f16900,f3074]) ).
thf(f16900,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$true)))) )
| spl0_17
| ~ spl0_116
| ~ spl0_120 ),
inference(forward_demodulation,[],[f16899,f3074]) ).
thf(f16899,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true))))) )
| spl0_17
| ~ spl0_116 ),
inference(forward_demodulation,[],[f124,f3024]) ).
thf(f17387,plain,
( spl0_93
| ~ spl0_103
| ~ spl0_132
| ~ spl0_137
| ~ spl0_172 ),
inference(avatar_contradiction_clause,[],[f17386]) ).
thf(f17386,plain,
( $false
| spl0_93
| ~ spl0_103
| ~ spl0_132
| ~ spl0_137
| ~ spl0_172 ),
inference(subsumption_resolution,[],[f17385,f1669]) ).
thf(f17385,plain,
( ( $false = vAPP($o,$o,f0,$false) )
| ~ spl0_103
| ~ spl0_132
| ~ spl0_137
| ~ spl0_172 ),
inference(forward_demodulation,[],[f17384,f2415]) ).
thf(f17384,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ~ spl0_103
| ~ spl0_132
| ~ spl0_137
| ~ spl0_172 ),
inference(forward_demodulation,[],[f17383,f2415]) ).
thf(f17383,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ~ spl0_103
| ~ spl0_132
| ~ spl0_137
| ~ spl0_172 ),
inference(forward_demodulation,[],[f17382,f2415]) ).
thf(f17382,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ~ spl0_132
| ~ spl0_137
| ~ spl0_172 ),
inference(forward_demodulation,[],[f17059,f4038]) ).
thf(f17059,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$false)))))))) )
| ~ spl0_132
| ~ spl0_172 ),
inference(forward_demodulation,[],[f3271,f14059]) ).
thf(f17067,plain,
( spl0_93
| ~ spl0_101
| ~ spl0_103
| ~ spl0_132
| ~ spl0_157
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f17066,f14057,f6226,f3269,f2413,f2231,f1668]) ).
thf(f17066,plain,
( ( $false = vAPP($o,$o,f0,$false) )
| ~ spl0_101
| ~ spl0_103
| ~ spl0_132
| ~ spl0_157
| ~ spl0_172 ),
inference(forward_demodulation,[],[f17065,f2415]) ).
thf(f17065,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ~ spl0_101
| ~ spl0_103
| ~ spl0_132
| ~ spl0_157
| ~ spl0_172 ),
inference(forward_demodulation,[],[f17064,f2415]) ).
thf(f17064,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ~ spl0_101
| ~ spl0_103
| ~ spl0_132
| ~ spl0_157
| ~ spl0_172 ),
inference(forward_demodulation,[],[f17063,f2415]) ).
thf(f17063,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ~ spl0_101
| ~ spl0_132
| ~ spl0_157
| ~ spl0_172 ),
inference(forward_demodulation,[],[f17062,f16708]) ).
thf(f16708,plain,
( ( $false = vAPP($o,$o,f2,$false) )
| ~ spl0_101
| ~ spl0_157 ),
inference(backward_demodulation,[],[f2233,f6228]) ).
thf(f17062,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$false))))) )
| ~ spl0_132
| ~ spl0_157
| ~ spl0_172 ),
inference(forward_demodulation,[],[f17061,f6228]) ).
thf(f17061,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$false)))))) )
| ~ spl0_132
| ~ spl0_157
| ~ spl0_172 ),
inference(forward_demodulation,[],[f17060,f6228]) ).
thf(f17060,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$false))))))) )
| ~ spl0_132
| ~ spl0_157
| ~ spl0_172 ),
inference(forward_demodulation,[],[f17059,f6228]) ).
thf(f17022,plain,
( spl0_21
| ~ spl0_116
| ~ spl0_120
| ~ spl0_157
| ~ spl0_172 ),
inference(avatar_contradiction_clause,[],[f17021]) ).
thf(f17021,plain,
( $false
| spl0_21
| ~ spl0_116
| ~ spl0_120
| ~ spl0_157
| ~ spl0_172 ),
inference(subsumption_resolution,[],[f17020,f6228]) ).
thf(f17020,plain,
( ( $false != vAPP($o,$o,f3,$false) )
| spl0_21
| ~ spl0_116
| ~ spl0_120
| ~ spl0_157
| ~ spl0_172 ),
inference(forward_demodulation,[],[f17019,f6228]) ).
thf(f17019,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f3,$false)) )
| spl0_21
| ~ spl0_116
| ~ spl0_120
| ~ spl0_157
| ~ spl0_172 ),
inference(forward_demodulation,[],[f17001,f6228]) ).
thf(f17001,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$false))) )
| spl0_21
| ~ spl0_116
| ~ spl0_120
| ~ spl0_172 ),
inference(backward_demodulation,[],[f16897,f14059]) ).
thf(f16897,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$true)))) )
| spl0_21
| ~ spl0_116
| ~ spl0_120 ),
inference(forward_demodulation,[],[f16896,f3074]) ).
thf(f16896,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$true))))) )
| spl0_21
| ~ spl0_116
| ~ spl0_120 ),
inference(forward_demodulation,[],[f16895,f3074]) ).
thf(f16895,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$true)))))) )
| spl0_21
| ~ spl0_116
| ~ spl0_120 ),
inference(forward_demodulation,[],[f16894,f3074]) ).
thf(f16894,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true))))))) )
| spl0_21
| ~ spl0_116 ),
inference(forward_demodulation,[],[f142,f3024]) ).
thf(f16996,plain,
( spl0_172
| ~ spl0_120
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f16703,f14053,f3072,f14057]) ).
thf(f16703,plain,
( ( $false = vAPP($o,$o,f4,$true) )
| ~ spl0_120
| ~ spl0_171 ),
inference(forward_demodulation,[],[f14055,f3074]) ).
thf(f16966,plain,
( spl0_93
| ~ spl0_29
| ~ spl0_116
| ~ spl0_120
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f16965,f3151,f3072,f3022,f177,f1668]) ).
thf(f16965,plain,
( ( $false = vAPP($o,$o,f0,$false) )
| ~ spl0_29
| ~ spl0_116
| ~ spl0_120
| ~ spl0_130 ),
inference(forward_demodulation,[],[f16723,f16881]) ).
thf(f16881,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$true)))))))) )
| ~ spl0_29
| ~ spl0_116
| ~ spl0_120 ),
inference(forward_demodulation,[],[f16880,f3074]) ).
thf(f16880,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$true))))))))) )
| ~ spl0_29
| ~ spl0_116
| ~ spl0_120 ),
inference(forward_demodulation,[],[f16879,f3074]) ).
thf(f16879,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$true)))))))))) )
| ~ spl0_29
| ~ spl0_116
| ~ spl0_120 ),
inference(forward_demodulation,[],[f16878,f3074]) ).
thf(f16878,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true))))))))))) )
| ~ spl0_29
| ~ spl0_116 ),
inference(forward_demodulation,[],[f179,f3024]) ).
thf(f16723,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))))))))) )
| ~ spl0_120
| ~ spl0_130 ),
inference(forward_demodulation,[],[f16722,f3074]) ).
thf(f16722,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$true)))))))))) )
| ~ spl0_120
| ~ spl0_130 ),
inference(forward_demodulation,[],[f3153,f3074]) ).
thf(f16660,plain,
( ~ spl0_172
| spl0_15
| ~ spl0_117
| ~ spl0_120 ),
inference(avatar_split_clause,[],[f16659,f3072,f3040,f114,f14057]) ).
thf(f16659,plain,
( ( $false != vAPP($o,$o,f4,$true) )
| spl0_15
| ~ spl0_117
| ~ spl0_120 ),
inference(forward_demodulation,[],[f16658,f3074]) ).
thf(f16658,plain,
( ( $false != vAPP($o,$o,f4,vAPP($o,$o,f5,$true)) )
| spl0_15
| ~ spl0_117
| ~ spl0_120 ),
inference(forward_demodulation,[],[f16657,f3074]) ).
thf(f16657,plain,
( ( $false != vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$true))) )
| spl0_15
| ~ spl0_117 ),
inference(forward_demodulation,[],[f115,f3042]) ).
thf(f3042,plain,
( ( vAPP($o,$o,f5,vAPP($o,$o,f6,x)) = $true )
| ~ spl0_117 ),
inference(avatar_component_clause,[],[f3040]) ).
thf(f16405,plain,
( ~ spl0_172
| ~ spl0_120
| spl0_171 ),
inference(avatar_split_clause,[],[f16279,f14053,f3072,f14057]) ).
thf(f16279,plain,
( ( $false != vAPP($o,$o,f4,$true) )
| ~ spl0_120
| spl0_171 ),
inference(backward_demodulation,[],[f14054,f3074]) ).
thf(f16401,plain,
( spl0_168
| spl0_121 ),
inference(avatar_split_clause,[],[f16339,f3084,f9124]) ).
thf(f16339,plain,
( ( $false = vAPP($o,$o,f6,$true) )
| spl0_121 ),
inference(trivial_inequality_removal,[],[f16338]) ).
thf(f16338,plain,
( ( $true != $true )
| ( $false = vAPP($o,$o,f6,$true) )
| spl0_121 ),
inference(superposition,[],[f3085,f4]) ).
thf(f3085,plain,
( ( $true != vAPP($o,$o,f6,$true) )
| spl0_121 ),
inference(avatar_component_clause,[],[f3084]) ).
thf(f16296,plain,
( ~ spl0_120
| spl0_125 ),
inference(avatar_contradiction_clause,[],[f16295]) ).
thf(f16295,plain,
( $false
| ~ spl0_120
| spl0_125 ),
inference(subsumption_resolution,[],[f16278,f3074]) ).
thf(f16278,plain,
( ( $true != vAPP($o,$o,f5,$true) )
| ~ spl0_120
| spl0_125 ),
inference(backward_demodulation,[],[f3120,f3074]) ).
thf(f16270,plain,
( ~ spl0_120
| ~ spl0_116
| spl0_117 ),
inference(avatar_split_clause,[],[f13526,f3040,f3022,f3072]) ).
thf(f13526,plain,
( ( $true != vAPP($o,$o,f5,$true) )
| ~ spl0_116
| spl0_117 ),
inference(forward_demodulation,[],[f3041,f3024]) ).
thf(f16269,plain,
( spl0_111
| spl0_120 ),
inference(avatar_contradiction_clause,[],[f16268]) ).
thf(f16268,plain,
( $false
| spl0_111
| spl0_120 ),
inference(subsumption_resolution,[],[f16261,f2660]) ).
thf(f2660,plain,
( ( $false != vAPP($o,$o,f5,$true) )
| spl0_111 ),
inference(avatar_component_clause,[],[f2659]) ).
thf(f16261,plain,
( ( $false = vAPP($o,$o,f5,$true) )
| spl0_120 ),
inference(trivial_inequality_removal,[],[f16260]) ).
thf(f16260,plain,
( ( $true != $true )
| ( $false = vAPP($o,$o,f5,$true) )
| spl0_120 ),
inference(superposition,[],[f3073,f4]) ).
thf(f3073,plain,
( ( $true != vAPP($o,$o,f5,$true) )
| spl0_120 ),
inference(avatar_component_clause,[],[f3072]) ).
thf(f16126,plain,
( spl0_172
| ~ spl0_69
| ~ spl0_116
| ~ spl0_126
| spl0_171 ),
inference(avatar_split_clause,[],[f16125,f14053,f3126,f3022,f875,f14057]) ).
thf(f16125,plain,
( ( $false = vAPP($o,$o,f4,$true) )
| ~ spl0_69
| ~ spl0_116
| ~ spl0_126
| spl0_171 ),
inference(subsumption_resolution,[],[f16102,f14054]) ).
thf(f16102,plain,
( ( $false = vAPP($o,$o,f4,$true) )
| ( $false = vAPP($o,$o,f4,vAPP($o,$o,f5,$true)) )
| ~ spl0_69
| ~ spl0_116
| ~ spl0_126 ),
inference(superposition,[],[f15958,f4]) ).
thf(f15958,plain,
( ( $false = vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,$true))) )
| ~ spl0_69
| ~ spl0_116
| ~ spl0_126 ),
inference(forward_demodulation,[],[f12662,f3128]) ).
thf(f12662,plain,
( ( $false = vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$true))))) )
| ~ spl0_69
| ~ spl0_116 ),
inference(backward_demodulation,[],[f877,f3024]) ).
thf(f15943,plain,
( ~ spl0_12
| ~ spl0_90 ),
inference(avatar_contradiction_clause,[],[f15942]) ).
thf(f15942,plain,
( $false
| ~ spl0_12
| ~ spl0_90 ),
inference(trivial_inequality_removal,[],[f15941]) ).
thf(f15941,plain,
( ( $true = $false )
| ~ spl0_12
| ~ spl0_90 ),
inference(backward_demodulation,[],[f102,f1416]) ).
thf(f1416,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$true)))))))))) )
| ~ spl0_90 ),
inference(avatar_component_clause,[],[f1414]) ).
thf(f15863,plain,
( ~ spl0_12
| ~ spl0_93
| ~ spl0_103
| ~ spl0_137
| ~ spl0_157
| ~ spl0_159
| ~ spl0_171 ),
inference(avatar_contradiction_clause,[],[f15862]) ).
thf(f15862,plain,
( $false
| ~ spl0_12
| ~ spl0_93
| ~ spl0_103
| ~ spl0_137
| ~ spl0_157
| ~ spl0_159
| ~ spl0_171 ),
inference(trivial_inequality_removal,[],[f15861]) ).
thf(f15861,plain,
( ( $true = $false )
| ~ spl0_12
| ~ spl0_93
| ~ spl0_103
| ~ spl0_137
| ~ spl0_157
| ~ spl0_159
| ~ spl0_171 ),
inference(forward_demodulation,[],[f15860,f1670]) ).
thf(f15860,plain,
( ( $true = vAPP($o,$o,f0,$false) )
| ~ spl0_12
| ~ spl0_103
| ~ spl0_137
| ~ spl0_157
| ~ spl0_159
| ~ spl0_171 ),
inference(forward_demodulation,[],[f15859,f2415]) ).
thf(f15859,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ~ spl0_12
| ~ spl0_103
| ~ spl0_137
| ~ spl0_157
| ~ spl0_159
| ~ spl0_171 ),
inference(forward_demodulation,[],[f15858,f2415]) ).
thf(f15858,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ~ spl0_12
| ~ spl0_103
| ~ spl0_137
| ~ spl0_157
| ~ spl0_159
| ~ spl0_171 ),
inference(forward_demodulation,[],[f15857,f2415]) ).
thf(f15857,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ~ spl0_12
| ~ spl0_137
| ~ spl0_157
| ~ spl0_159
| ~ spl0_171 ),
inference(forward_demodulation,[],[f15856,f15185]) ).
thf(f15185,plain,
( ( $false = vAPP($o,$o,f2,$false) )
| ~ spl0_137
| ~ spl0_159 ),
inference(backward_demodulation,[],[f4038,f6242]) ).
thf(f6242,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$false))) )
| ~ spl0_159 ),
inference(avatar_component_clause,[],[f6240]) ).
thf(f15856,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$false))))) )
| ~ spl0_12
| ~ spl0_157
| ~ spl0_171 ),
inference(forward_demodulation,[],[f15855,f6228]) ).
thf(f15855,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$false)))))) )
| ~ spl0_12
| ~ spl0_157
| ~ spl0_171 ),
inference(forward_demodulation,[],[f15854,f6228]) ).
thf(f15854,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$false))))))) )
| ~ spl0_12
| ~ spl0_157
| ~ spl0_171 ),
inference(forward_demodulation,[],[f15853,f6228]) ).
thf(f15853,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$false)))))))) )
| ~ spl0_12
| ~ spl0_171 ),
inference(forward_demodulation,[],[f102,f14055]) ).
thf(f15844,plain,
( ~ spl0_15
| spl0_25
| ~ spl0_103
| ~ spl0_116
| ~ spl0_137
| ~ spl0_157
| ~ spl0_159 ),
inference(avatar_contradiction_clause,[],[f15843]) ).
thf(f15843,plain,
( $false
| ~ spl0_15
| spl0_25
| ~ spl0_103
| ~ spl0_116
| ~ spl0_137
| ~ spl0_157
| ~ spl0_159 ),
inference(subsumption_resolution,[],[f15842,f2415]) ).
thf(f15842,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ~ spl0_15
| spl0_25
| ~ spl0_116
| ~ spl0_137
| ~ spl0_157
| ~ spl0_159 ),
inference(forward_demodulation,[],[f15841,f15185]) ).
thf(f15841,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,$false)) )
| ~ spl0_15
| spl0_25
| ~ spl0_116
| ~ spl0_157 ),
inference(forward_demodulation,[],[f15840,f6228]) ).
thf(f15840,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$false))) )
| ~ spl0_15
| spl0_25
| ~ spl0_116
| ~ spl0_157 ),
inference(forward_demodulation,[],[f15839,f6228]) ).
thf(f15839,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$false)))) )
| ~ spl0_15
| spl0_25
| ~ spl0_116
| ~ spl0_157 ),
inference(forward_demodulation,[],[f15838,f6228]) ).
thf(f15838,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$false))))) )
| ~ spl0_15
| spl0_25
| ~ spl0_116 ),
inference(forward_demodulation,[],[f15837,f15247]) ).
thf(f15247,plain,
( ( $false = vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true)))) )
| ~ spl0_15
| ~ spl0_116 ),
inference(forward_demodulation,[],[f116,f3024]) ).
thf(f15837,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true))))))))) )
| spl0_25
| ~ spl0_116 ),
inference(forward_demodulation,[],[f160,f3024]) ).
thf(f15603,plain,
( spl0_17
| ~ spl0_69
| ~ spl0_71
| ~ spl0_89
| ~ spl0_112
| ~ spl0_116
| ~ spl0_157 ),
inference(avatar_contradiction_clause,[],[f15602]) ).
thf(f15602,plain,
( $false
| spl0_17
| ~ spl0_69
| ~ spl0_71
| ~ spl0_89
| ~ spl0_112
| ~ spl0_116
| ~ spl0_157 ),
inference(subsumption_resolution,[],[f15601,f6228]) ).
thf(f15601,plain,
( ( $false != vAPP($o,$o,f3,$false) )
| spl0_17
| ~ spl0_69
| ~ spl0_71
| ~ spl0_89
| ~ spl0_112
| ~ spl0_116 ),
inference(forward_demodulation,[],[f15600,f1056]) ).
thf(f15600,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,$false)) )
| spl0_17
| ~ spl0_89
| ~ spl0_112
| ~ spl0_116 ),
inference(forward_demodulation,[],[f15599,f1412]) ).
thf(f15599,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$false))) )
| spl0_17
| ~ spl0_112
| ~ spl0_116 ),
inference(forward_demodulation,[],[f15598,f2674]) ).
thf(f15598,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true))))) )
| spl0_17
| ~ spl0_116 ),
inference(forward_demodulation,[],[f124,f3024]) ).
thf(f15407,plain,
( spl0_4
| ~ spl0_17
| ~ spl0_116
| ~ spl0_156
| ~ spl0_157
| ~ spl0_164 ),
inference(avatar_contradiction_clause,[],[f15406]) ).
thf(f15406,plain,
( $false
| spl0_4
| ~ spl0_17
| ~ spl0_116
| ~ spl0_156
| ~ spl0_157
| ~ spl0_164 ),
inference(subsumption_resolution,[],[f15405,f15256]) ).
thf(f15256,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$false))))) )
| spl0_4
| ~ spl0_17
| ~ spl0_116
| ~ spl0_157 ),
inference(forward_demodulation,[],[f15255,f6228]) ).
thf(f15255,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$false)))))) )
| spl0_4
| ~ spl0_17
| ~ spl0_116
| ~ spl0_157 ),
inference(forward_demodulation,[],[f14506,f6228]) ).
thf(f14506,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$false))))))) )
| spl0_4
| ~ spl0_17
| ~ spl0_116 ),
inference(forward_demodulation,[],[f12959,f14494]) ).
thf(f14494,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true))))) )
| ~ spl0_17
| ~ spl0_116 ),
inference(forward_demodulation,[],[f125,f3024]) ).
thf(f12959,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true)))))))))))) )
| spl0_4
| ~ spl0_116 ),
inference(forward_demodulation,[],[f24,f3024]) ).
thf(f15405,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$false))))) )
| ~ spl0_156
| ~ spl0_164 ),
inference(forward_demodulation,[],[f6224,f7256]) ).
thf(f15134,plain,
( spl0_101
| ~ spl0_69
| ~ spl0_71
| ~ spl0_75
| ~ spl0_116
| ~ spl0_121
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f14292,f14053,f3084,f3022,f929,f894,f875,f2231]) ).
thf(f14292,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,$false)) )
| ~ spl0_69
| ~ spl0_71
| ~ spl0_75
| ~ spl0_116
| ~ spl0_121
| ~ spl0_171 ),
inference(forward_demodulation,[],[f14291,f1056]) ).
thf(f14291,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))) )
| ~ spl0_69
| ~ spl0_71
| ~ spl0_75
| ~ spl0_116
| ~ spl0_121
| ~ spl0_171 ),
inference(forward_demodulation,[],[f14290,f1056]) ).
thf(f14290,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$false)))) )
| ~ spl0_75
| ~ spl0_116
| ~ spl0_121
| ~ spl0_171 ),
inference(forward_demodulation,[],[f14289,f14055]) ).
thf(f14289,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,$true)))))) )
| ~ spl0_75
| ~ spl0_116
| ~ spl0_121 ),
inference(forward_demodulation,[],[f14288,f3086]) ).
thf(f14288,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,$true))))))) )
| ~ spl0_75
| ~ spl0_116
| ~ spl0_121 ),
inference(forward_demodulation,[],[f14287,f3086]) ).
thf(f14287,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$true)))))))) )
| ~ spl0_75
| ~ spl0_116 ),
inference(forward_demodulation,[],[f931,f3024]) ).
thf(f15112,plain,
( ~ spl0_2
| ~ spl0_17
| ~ spl0_23
| ~ spl0_93
| ~ spl0_103
| ~ spl0_116 ),
inference(avatar_contradiction_clause,[],[f15111]) ).
thf(f15111,plain,
( $false
| ~ spl0_2
| ~ spl0_17
| ~ spl0_23
| ~ spl0_93
| ~ spl0_103
| ~ spl0_116 ),
inference(trivial_inequality_removal,[],[f15110]) ).
thf(f15110,plain,
( ( $true = $false )
| ~ spl0_2
| ~ spl0_17
| ~ spl0_23
| ~ spl0_93
| ~ spl0_103
| ~ spl0_116 ),
inference(forward_demodulation,[],[f15109,f1670]) ).
thf(f15109,plain,
( ( $true = vAPP($o,$o,f0,$false) )
| ~ spl0_2
| ~ spl0_17
| ~ spl0_23
| ~ spl0_103
| ~ spl0_116 ),
inference(forward_demodulation,[],[f15108,f2415]) ).
thf(f15108,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ~ spl0_2
| ~ spl0_17
| ~ spl0_23
| ~ spl0_103
| ~ spl0_116 ),
inference(forward_demodulation,[],[f15107,f2415]) ).
thf(f15107,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ~ spl0_2
| ~ spl0_17
| ~ spl0_23
| ~ spl0_103
| ~ spl0_116 ),
inference(forward_demodulation,[],[f15106,f2415]) ).
thf(f15106,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ~ spl0_2
| ~ spl0_17
| ~ spl0_23
| ~ spl0_116 ),
inference(forward_demodulation,[],[f14509,f14726]) ).
thf(f14726,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$false))) )
| ~ spl0_17
| ~ spl0_23
| ~ spl0_116 ),
inference(forward_demodulation,[],[f8938,f14494]) ).
thf(f8938,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true)))))))) )
| ~ spl0_23
| ~ spl0_116 ),
inference(forward_demodulation,[],[f152,f3024]) ).
thf(f14509,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$false))))))) )
| ~ spl0_2
| ~ spl0_17
| ~ spl0_116 ),
inference(forward_demodulation,[],[f12987,f14494]) ).
thf(f12987,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true)))))))))))) )
| ~ spl0_2
| ~ spl0_116 ),
inference(forward_demodulation,[],[f16,f3024]) ).
thf(f15088,plain,
( ~ spl0_17
| ~ spl0_23
| spl0_29
| ~ spl0_103
| ~ spl0_116 ),
inference(avatar_contradiction_clause,[],[f15087]) ).
thf(f15087,plain,
( $false
| ~ spl0_17
| ~ spl0_23
| spl0_29
| ~ spl0_103
| ~ spl0_116 ),
inference(subsumption_resolution,[],[f15086,f2415]) ).
thf(f15086,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ~ spl0_17
| ~ spl0_23
| spl0_29
| ~ spl0_103
| ~ spl0_116 ),
inference(forward_demodulation,[],[f15085,f2415]) ).
thf(f15085,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,$false)) )
| ~ spl0_17
| ~ spl0_23
| spl0_29
| ~ spl0_103
| ~ spl0_116 ),
inference(forward_demodulation,[],[f15084,f2415]) ).
thf(f15084,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ~ spl0_17
| ~ spl0_23
| spl0_29
| ~ spl0_116 ),
inference(forward_demodulation,[],[f14681,f14726]) ).
thf(f14681,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$false)))))) )
| ~ spl0_17
| spl0_29
| ~ spl0_116 ),
inference(forward_demodulation,[],[f14680,f14494]) ).
thf(f14680,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true))))))))))) )
| spl0_29
| ~ spl0_116 ),
inference(forward_demodulation,[],[f178,f3024]) ).
thf(f15083,plain,
( ~ spl0_17
| ~ spl0_23
| spl0_27
| ~ spl0_103
| ~ spl0_116 ),
inference(avatar_contradiction_clause,[],[f15082]) ).
thf(f15082,plain,
( $false
| ~ spl0_17
| ~ spl0_23
| spl0_27
| ~ spl0_103
| ~ spl0_116 ),
inference(subsumption_resolution,[],[f15081,f2415]) ).
thf(f15081,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ~ spl0_17
| ~ spl0_23
| spl0_27
| ~ spl0_103
| ~ spl0_116 ),
inference(forward_demodulation,[],[f15080,f2415]) ).
thf(f15080,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,$false)) )
| ~ spl0_17
| ~ spl0_23
| spl0_27
| ~ spl0_116 ),
inference(forward_demodulation,[],[f14691,f14726]) ).
thf(f14691,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$false))))) )
| ~ spl0_17
| spl0_27
| ~ spl0_116 ),
inference(forward_demodulation,[],[f14690,f14494]) ).
thf(f14690,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true)))))))))) )
| spl0_27
| ~ spl0_116 ),
inference(forward_demodulation,[],[f169,f3024]) ).
thf(f14791,plain,
( ~ spl0_17
| ~ spl0_23
| ~ spl0_102
| ~ spl0_116
| ~ spl0_138
| ~ spl0_143
| spl0_144 ),
inference(avatar_contradiction_clause,[],[f14790]) ).
thf(f14790,plain,
( $false
| ~ spl0_17
| ~ spl0_23
| ~ spl0_102
| ~ spl0_116
| ~ spl0_138
| ~ spl0_143
| spl0_144 ),
inference(subsumption_resolution,[],[f13114,f14728]) ).
thf(f14728,plain,
( ( $false = vAPP($o,$o,f2,$false) )
| ~ spl0_17
| ~ spl0_23
| ~ spl0_116
| ~ spl0_138
| ~ spl0_143 ),
inference(forward_demodulation,[],[f14727,f4461]) ).
thf(f14727,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,$true)) )
| ~ spl0_17
| ~ spl0_23
| ~ spl0_116
| ~ spl0_138 ),
inference(forward_demodulation,[],[f14726,f4314]) ).
thf(f13114,plain,
( ( $false != vAPP($o,$o,f2,$false) )
| ~ spl0_102
| spl0_144 ),
inference(forward_demodulation,[],[f4478,f2237]) ).
thf(f14502,plain,
( ~ spl0_17
| ~ spl0_19
| ~ spl0_116
| spl0_157 ),
inference(avatar_contradiction_clause,[],[f14501]) ).
thf(f14501,plain,
( $false
| ~ spl0_17
| ~ spl0_19
| ~ spl0_116
| spl0_157 ),
inference(subsumption_resolution,[],[f14500,f6227]) ).
thf(f14500,plain,
( ( $false = vAPP($o,$o,f3,$false) )
| ~ spl0_17
| ~ spl0_19
| ~ spl0_116 ),
inference(forward_demodulation,[],[f10047,f14494]) ).
thf(f10047,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true)))))) )
| ~ spl0_19
| ~ spl0_116 ),
inference(forward_demodulation,[],[f134,f3024]) ).
thf(f14497,plain,
( ~ spl0_15
| ~ spl0_17
| ~ spl0_116
| spl0_157 ),
inference(avatar_contradiction_clause,[],[f14496]) ).
thf(f14496,plain,
( $false
| ~ spl0_15
| ~ spl0_17
| ~ spl0_116
| spl0_157 ),
inference(subsumption_resolution,[],[f14495,f6227]) ).
thf(f14495,plain,
( ( $false = vAPP($o,$o,f3,$false) )
| ~ spl0_15
| ~ spl0_17
| ~ spl0_116 ),
inference(forward_demodulation,[],[f14494,f13524]) ).
thf(f13524,plain,
( ( $false = vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true)))) )
| ~ spl0_15
| ~ spl0_116 ),
inference(forward_demodulation,[],[f116,f3024]) ).
thf(f14486,plain,
( ~ spl0_15
| ~ spl0_21
| ~ spl0_116
| ~ spl0_138
| ~ spl0_143
| spl0_157 ),
inference(avatar_contradiction_clause,[],[f14485]) ).
thf(f14485,plain,
( $false
| ~ spl0_15
| ~ spl0_21
| ~ spl0_116
| ~ spl0_138
| ~ spl0_143
| spl0_157 ),
inference(subsumption_resolution,[],[f14484,f6227]) ).
thf(f14484,plain,
( ( $false = vAPP($o,$o,f3,$false) )
| ~ spl0_15
| ~ spl0_21
| ~ spl0_116
| ~ spl0_138
| ~ spl0_143 ),
inference(forward_demodulation,[],[f14483,f4461]) ).
thf(f14483,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f3,$true)) )
| ~ spl0_15
| ~ spl0_21
| ~ spl0_116
| ~ spl0_138 ),
inference(forward_demodulation,[],[f14482,f4314]) ).
thf(f14482,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$false))) )
| ~ spl0_15
| ~ spl0_21
| ~ spl0_116 ),
inference(forward_demodulation,[],[f14481,f13524]) ).
thf(f14481,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true))))))) )
| ~ spl0_21
| ~ spl0_116 ),
inference(forward_demodulation,[],[f143,f3024]) ).
thf(f14467,plain,
( spl0_45
| ~ spl0_93
| ~ spl0_102
| ~ spl0_103
| ~ spl0_138
| ~ spl0_145 ),
inference(avatar_contradiction_clause,[],[f14466]) ).
thf(f14466,plain,
( $false
| spl0_45
| ~ spl0_93
| ~ spl0_102
| ~ spl0_103
| ~ spl0_138
| ~ spl0_145 ),
inference(subsumption_resolution,[],[f14465,f1670]) ).
thf(f14465,plain,
( ( $false != vAPP($o,$o,f0,$false) )
| spl0_45
| ~ spl0_93
| ~ spl0_102
| ~ spl0_103
| ~ spl0_138
| ~ spl0_145 ),
inference(forward_demodulation,[],[f14464,f1670]) ).
thf(f14464,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,$false)) )
| spl0_45
| ~ spl0_93
| ~ spl0_102
| ~ spl0_103
| ~ spl0_138
| ~ spl0_145 ),
inference(forward_demodulation,[],[f14463,f1670]) ).
thf(f14463,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$false))) )
| spl0_45
| ~ spl0_102
| ~ spl0_103
| ~ spl0_138
| ~ spl0_145 ),
inference(forward_demodulation,[],[f14462,f2415]) ).
thf(f14462,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$false)))) )
| spl0_45
| ~ spl0_102
| ~ spl0_138
| ~ spl0_145 ),
inference(forward_demodulation,[],[f14461,f14258]) ).
thf(f14258,plain,
( ( $false = vAPP($o,$o,f2,$false) )
| ~ spl0_102
| ~ spl0_138
| ~ spl0_145 ),
inference(forward_demodulation,[],[f14257,f2237]) ).
thf(f14257,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,$true)) )
| ~ spl0_138
| ~ spl0_145 ),
inference(forward_demodulation,[],[f4614,f4314]) ).
thf(f14461,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$false))))) )
| spl0_45
| ~ spl0_102
| ~ spl0_138
| ~ spl0_145 ),
inference(forward_demodulation,[],[f14460,f14258]) ).
thf(f14460,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$false)))))) )
| spl0_45
| ~ spl0_102 ),
inference(forward_demodulation,[],[f420,f2237]) ).
thf(f14384,plain,
( spl0_93
| ~ spl0_102
| ~ spl0_103
| ~ spl0_138
| ~ spl0_143
| ~ spl0_156 ),
inference(avatar_split_clause,[],[f14383,f6222,f4459,f4312,f2413,f2235,f1668]) ).
thf(f14383,plain,
( ( $false = vAPP($o,$o,f0,$false) )
| ~ spl0_102
| ~ spl0_103
| ~ spl0_138
| ~ spl0_143
| ~ spl0_156 ),
inference(forward_demodulation,[],[f14382,f2415]) ).
thf(f14382,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ~ spl0_102
| ~ spl0_103
| ~ spl0_138
| ~ spl0_143
| ~ spl0_156 ),
inference(forward_demodulation,[],[f14381,f2415]) ).
thf(f14381,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ~ spl0_102
| ~ spl0_103
| ~ spl0_138
| ~ spl0_143
| ~ spl0_156 ),
inference(forward_demodulation,[],[f14380,f2415]) ).
thf(f14380,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ~ spl0_102
| ~ spl0_138
| ~ spl0_143
| ~ spl0_156 ),
inference(forward_demodulation,[],[f14379,f2237]) ).
thf(f14379,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))))) )
| ~ spl0_138
| ~ spl0_143
| ~ spl0_156 ),
inference(forward_demodulation,[],[f14378,f4314]) ).
thf(f14378,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$false)))))) )
| ~ spl0_143
| ~ spl0_156 ),
inference(forward_demodulation,[],[f6224,f4461]) ).
thf(f14349,plain,
( spl0_94
| ~ spl0_2
| ~ spl0_29
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f13354,f3022,f177,f14,f1674]) ).
thf(f13354,plain,
( ( $true = vAPP($o,$o,f0,$false) )
| ~ spl0_2
| ~ spl0_29
| ~ spl0_116 ),
inference(forward_demodulation,[],[f12987,f13282]) ).
thf(f13282,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true))))))))))) )
| ~ spl0_29
| ~ spl0_116 ),
inference(forward_demodulation,[],[f179,f3024]) ).
thf(f14346,plain,
( spl0_94
| ~ spl0_8
| ~ spl0_27
| ~ spl0_103
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f13715,f3022,f2413,f168,f82,f1674]) ).
thf(f13715,plain,
( ( $true = vAPP($o,$o,f0,$false) )
| ~ spl0_8
| ~ spl0_27
| ~ spl0_103
| ~ spl0_116 ),
inference(forward_demodulation,[],[f13713,f2415]) ).
thf(f13713,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ~ spl0_8
| ~ spl0_27
| ~ spl0_116 ),
inference(backward_demodulation,[],[f84,f13636]) ).
thf(f13636,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true)))))))))) )
| ~ spl0_27
| ~ spl0_116 ),
inference(forward_demodulation,[],[f170,f3024]) ).
thf(f14345,plain,
( spl0_94
| ~ spl0_12
| ~ spl0_102
| ~ spl0_103
| ~ spl0_138
| ~ spl0_143
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f14086,f14053,f4459,f4312,f2413,f2235,f100,f1674]) ).
thf(f14086,plain,
( ( $true = vAPP($o,$o,f0,$false) )
| ~ spl0_12
| ~ spl0_102
| ~ spl0_103
| ~ spl0_138
| ~ spl0_143
| ~ spl0_171 ),
inference(forward_demodulation,[],[f14085,f2415]) ).
thf(f14085,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ~ spl0_12
| ~ spl0_102
| ~ spl0_103
| ~ spl0_138
| ~ spl0_143
| ~ spl0_171 ),
inference(forward_demodulation,[],[f14084,f2415]) ).
thf(f14084,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ~ spl0_12
| ~ spl0_102
| ~ spl0_103
| ~ spl0_138
| ~ spl0_143
| ~ spl0_171 ),
inference(forward_demodulation,[],[f14083,f2415]) ).
thf(f14083,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ~ spl0_12
| ~ spl0_102
| ~ spl0_138
| ~ spl0_143
| ~ spl0_171 ),
inference(forward_demodulation,[],[f14082,f2237]) ).
thf(f14082,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))))) )
| ~ spl0_12
| ~ spl0_138
| ~ spl0_143
| ~ spl0_171 ),
inference(forward_demodulation,[],[f14081,f4314]) ).
thf(f14081,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$false)))))) )
| ~ spl0_12
| ~ spl0_138
| ~ spl0_143
| ~ spl0_171 ),
inference(forward_demodulation,[],[f14080,f4461]) ).
thf(f14080,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$true))))))) )
| ~ spl0_12
| ~ spl0_138
| ~ spl0_171 ),
inference(forward_demodulation,[],[f14077,f4314]) ).
thf(f14077,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$false)))))))) )
| ~ spl0_12
| ~ spl0_171 ),
inference(backward_demodulation,[],[f102,f14055]) ).
thf(f14342,plain,
( ~ spl0_93
| spl0_4
| ~ spl0_29
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f13355,f3022,f177,f23,f1668]) ).
thf(f13355,plain,
( ( $false != vAPP($o,$o,f0,$false) )
| spl0_4
| ~ spl0_29
| ~ spl0_116 ),
inference(forward_demodulation,[],[f12959,f13282]) ).
thf(f14341,plain,
( ~ spl0_93
| ~ spl0_25
| spl0_91
| ~ spl0_103
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f13361,f3022,f2413,f1658,f159,f1668]) ).
thf(f13361,plain,
( ( $false != vAPP($o,$o,f0,$false) )
| ~ spl0_25
| spl0_91
| ~ spl0_103
| ~ spl0_116 ),
inference(forward_demodulation,[],[f13360,f2415]) ).
thf(f13360,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ~ spl0_25
| spl0_91
| ~ spl0_103
| ~ spl0_116 ),
inference(forward_demodulation,[],[f13359,f2415]) ).
thf(f13359,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ~ spl0_25
| spl0_91
| ~ spl0_116 ),
inference(forward_demodulation,[],[f1659,f12918]) ).
thf(f12918,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true))))))))) )
| ~ spl0_25
| ~ spl0_116 ),
inference(forward_demodulation,[],[f161,f3024]) ).
thf(f14060,plain,
( spl0_171
| spl0_172
| ~ spl0_69
| ~ spl0_116
| ~ spl0_121 ),
inference(avatar_split_clause,[],[f14003,f3084,f3022,f875,f14057,f14053]) ).
thf(f14003,plain,
( ( $false = vAPP($o,$o,f4,$true) )
| ( $false = vAPP($o,$o,f4,vAPP($o,$o,f5,$true)) )
| ~ spl0_69
| ~ spl0_116
| ~ spl0_121 ),
inference(superposition,[],[f13780,f4]) ).
thf(f13780,plain,
( ( $false = vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,$true))) )
| ~ spl0_69
| ~ spl0_116
| ~ spl0_121 ),
inference(forward_demodulation,[],[f13779,f3086]) ).
thf(f13779,plain,
( ( $false = vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,$true)))) )
| ~ spl0_69
| ~ spl0_116
| ~ spl0_121 ),
inference(forward_demodulation,[],[f12662,f3086]) ).
thf(f13973,plain,
( ~ spl0_13
| spl0_111
| spl0_112
| ~ spl0_116 ),
inference(avatar_contradiction_clause,[],[f13972]) ).
thf(f13972,plain,
( $false
| ~ spl0_13
| spl0_111
| spl0_112
| ~ spl0_116 ),
inference(subsumption_resolution,[],[f13971,f2675]) ).
thf(f13971,plain,
( ( $false = vAPP($o,$o,f5,vAPP($o,$o,f5,$true)) )
| ~ spl0_13
| spl0_111
| ~ spl0_116 ),
inference(subsumption_resolution,[],[f13962,f2660]) ).
thf(f13962,plain,
( ( $false = vAPP($o,$o,f5,$true) )
| ( $false = vAPP($o,$o,f5,vAPP($o,$o,f5,$true)) )
| ~ spl0_13
| ~ spl0_116 ),
inference(superposition,[],[f13632,f4]) ).
thf(f13632,plain,
( ( $false = vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true))) )
| ~ spl0_13
| ~ spl0_116 ),
inference(forward_demodulation,[],[f107,f3024]) ).
thf(f13706,plain,
( spl0_14
| ~ spl0_10
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f13705,f3119,f91,f109]) ).
thf(f13705,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))))))))) )
| ~ spl0_10
| ~ spl0_125 ),
inference(forward_demodulation,[],[f93,f3121]) ).
thf(f13635,plain,
( ~ spl0_13
| spl0_111
| ~ spl0_116
| ~ spl0_125 ),
inference(avatar_contradiction_clause,[],[f13634]) ).
thf(f13634,plain,
( $false
| ~ spl0_13
| spl0_111
| ~ spl0_116
| ~ spl0_125 ),
inference(subsumption_resolution,[],[f13633,f2660]) ).
thf(f13633,plain,
( ( $false = vAPP($o,$o,f5,$true) )
| ~ spl0_13
| ~ spl0_116
| ~ spl0_125 ),
inference(forward_demodulation,[],[f13632,f3121]) ).
thf(f13395,plain,
( spl0_111
| spl0_7
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f13394,f87,f78,f2659]) ).
thf(f87,plain,
( spl0_9
<=> ( vAPP($o,$o,f5,vAPP($o,$o,f6,x)) = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
thf(f13394,plain,
( ( $false = vAPP($o,$o,f5,$true) )
| spl0_7
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f3528,f79]) ).
thf(f79,plain,
( ( vAPP($o,$o,f6,x) != $false )
| spl0_7 ),
inference(avatar_component_clause,[],[f78]) ).
thf(f3528,plain,
( ( $false = vAPP($o,$o,f5,$true) )
| ( vAPP($o,$o,f6,x) = $false )
| ~ spl0_9 ),
inference(superposition,[],[f89,f4]) ).
thf(f89,plain,
( ( vAPP($o,$o,f5,vAPP($o,$o,f6,x)) = $false )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f87]) ).
thf(f13028,plain,
( ~ spl0_3
| spl0_37
| ~ spl0_81
| ~ spl0_94
| ~ spl0_116 ),
inference(avatar_contradiction_clause,[],[f13027]) ).
thf(f13027,plain,
( $false
| ~ spl0_3
| spl0_37
| ~ spl0_81
| ~ spl0_94
| ~ spl0_116 ),
inference(subsumption_resolution,[],[f13026,f363]) ).
thf(f363,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| spl0_37 ),
inference(avatar_component_clause,[],[f362]) ).
thf(f13026,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ~ spl0_3
| ~ spl0_81
| ~ spl0_94
| ~ spl0_116 ),
inference(forward_demodulation,[],[f13025,f1676]) ).
thf(f13025,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$false))) )
| ~ spl0_3
| ~ spl0_81
| ~ spl0_116 ),
inference(forward_demodulation,[],[f12971,f13018]) ).
thf(f13018,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$true))))))))))) )
| ~ spl0_81
| ~ spl0_116 ),
inference(forward_demodulation,[],[f976,f3024]) ).
thf(f12971,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$true)))))))))))))) )
| ~ spl0_3
| ~ spl0_116 ),
inference(forward_demodulation,[],[f21,f3024]) ).
thf(f13024,plain,
( spl0_1
| ~ spl0_62
| ~ spl0_81
| ~ spl0_94
| ~ spl0_116 ),
inference(avatar_contradiction_clause,[],[f13023]) ).
thf(f13023,plain,
( $false
| spl0_1
| ~ spl0_62
| ~ spl0_81
| ~ spl0_94
| ~ spl0_116 ),
inference(subsumption_resolution,[],[f13022,f741]) ).
thf(f13022,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| spl0_1
| ~ spl0_81
| ~ spl0_94
| ~ spl0_116 ),
inference(forward_demodulation,[],[f13021,f1676]) ).
thf(f13021,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$false))) )
| spl0_1
| ~ spl0_81
| ~ spl0_116 ),
inference(forward_demodulation,[],[f12999,f13018]) ).
thf(f12999,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$true)))))))))))))) )
| spl0_1
| ~ spl0_116 ),
inference(forward_demodulation,[],[f11,f3024]) ).
thf(f12704,plain,
( spl0_103
| ~ spl0_77
| ~ spl0_81
| ~ spl0_101
| ~ spl0_157 ),
inference(avatar_split_clause,[],[f12702,f6226,f2231,f974,f945,f2413]) ).
thf(f12702,plain,
( ( $false = vAPP($o,$o,f1,$false) )
| ~ spl0_77
| ~ spl0_81
| ~ spl0_101
| ~ spl0_157 ),
inference(backward_demodulation,[],[f12642,f12700]) ).
thf(f12700,plain,
( ( $false = vAPP($o,$o,f2,$false) )
| ~ spl0_101
| ~ spl0_157 ),
inference(backward_demodulation,[],[f2233,f6228]) ).
thf(f12642,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,$false)) )
| ~ spl0_77
| ~ spl0_81 ),
inference(forward_demodulation,[],[f976,f947]) ).
thf(f12684,plain,
( ~ spl0_139
| ~ spl0_69
| ~ spl0_71
| spl0_79
| ~ spl0_101 ),
inference(avatar_split_clause,[],[f12682,f2231,f960,f894,f875,f4316]) ).
thf(f12682,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f2,$false)) )
| ~ spl0_69
| ~ spl0_71
| spl0_79
| ~ spl0_101 ),
inference(backward_demodulation,[],[f12654,f2233]) ).
thf(f12654,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$false)))) )
| ~ spl0_69
| ~ spl0_71
| spl0_79 ),
inference(forward_demodulation,[],[f12653,f1056]) ).
thf(f12653,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))) )
| ~ spl0_69
| spl0_79 ),
inference(forward_demodulation,[],[f961,f877]) ).
thf(f12649,plain,
( spl0_145
| ~ spl0_69
| ~ spl0_71
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f12648,f945,f894,f875,f4612]) ).
thf(f12648,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$false))) )
| ~ spl0_69
| ~ spl0_71
| ~ spl0_77 ),
inference(forward_demodulation,[],[f12647,f1056]) ).
thf(f12647,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))) )
| ~ spl0_69
| ~ spl0_77 ),
inference(backward_demodulation,[],[f947,f877]) ).
thf(f12638,plain,
( spl0_145
| ~ spl0_42
| ~ spl0_48
| ~ spl0_105 ),
inference(avatar_split_clause,[],[f12637,f2566,f442,f400,f4612]) ).
thf(f12637,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$false))) )
| ~ spl0_42
| ~ spl0_48
| ~ spl0_105 ),
inference(backward_demodulation,[],[f12521,f12409]) ).
thf(f12409,plain,
( ( $false = vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$true)))))) )
| ~ spl0_42
| ~ spl0_105 ),
inference(forward_demodulation,[],[f402,f2568]) ).
thf(f402,plain,
( ( $false = vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,$false))))))) )
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f400]) ).
thf(f12521,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$true))))))))) )
| ~ spl0_48
| ~ spl0_105 ),
inference(forward_demodulation,[],[f444,f2568]) ).
thf(f12248,plain,
( spl0_101
| ~ spl0_5
| ~ spl0_46
| ~ spl0_69
| ~ spl0_71
| ~ spl0_105 ),
inference(avatar_split_clause,[],[f12247,f2566,f894,f875,f429,f69,f2231]) ).
thf(f12247,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,$false)) )
| ~ spl0_5
| ~ spl0_46
| ~ spl0_69
| ~ spl0_71
| ~ spl0_105 ),
inference(forward_demodulation,[],[f12246,f1056]) ).
thf(f12246,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))) )
| ~ spl0_5
| ~ spl0_46
| ~ spl0_69
| ~ spl0_105 ),
inference(forward_demodulation,[],[f11432,f11457]) ).
thf(f11457,plain,
( ( $false = vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$true))))) )
| ~ spl0_5
| ~ spl0_69
| ~ spl0_105 ),
inference(forward_demodulation,[],[f11456,f2568]) ).
thf(f11456,plain,
( ( $false = vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,$false)))))) )
| ~ spl0_5
| ~ spl0_69 ),
inference(forward_demodulation,[],[f877,f71]) ).
thf(f11432,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$true)))))))) )
| ~ spl0_46
| ~ spl0_105 ),
inference(forward_demodulation,[],[f431,f2568]) ).
thf(f12026,plain,
( spl0_56
| ~ spl0_99
| ~ spl0_101
| ~ spl0_157
| ~ spl0_160 ),
inference(avatar_split_clause,[],[f12025,f6325,f6226,f2231,f2163,f484]) ).
thf(f12025,plain,
( ( $false = vAPP($o,$o,f0,$true) )
| ~ spl0_99
| ~ spl0_101
| ~ spl0_157
| ~ spl0_160 ),
inference(forward_demodulation,[],[f12024,f2165]) ).
thf(f12024,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ~ spl0_101
| ~ spl0_157
| ~ spl0_160 ),
inference(forward_demodulation,[],[f6327,f11532]) ).
thf(f11532,plain,
( ( $false = vAPP($o,$o,f2,$false) )
| ~ spl0_101
| ~ spl0_157 ),
inference(backward_demodulation,[],[f2233,f6228]) ).
thf(f11925,plain,
( ~ spl0_94
| spl0_28
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f11677,f2417,f172,f1674]) ).
thf(f11677,plain,
( ( $true != vAPP($o,$o,f0,$false) )
| spl0_28
| ~ spl0_104 ),
inference(forward_demodulation,[],[f173,f2419]) ).
thf(f173,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| spl0_28 ),
inference(avatar_component_clause,[],[f172]) ).
thf(f11766,plain,
( ~ spl0_36
| ~ spl0_66 ),
inference(avatar_contradiction_clause,[],[f11765]) ).
thf(f11765,plain,
( $false
| ~ spl0_36
| ~ spl0_66 ),
inference(trivial_inequality_removal,[],[f11764]) ).
thf(f11764,plain,
( ( $true = $false )
| ~ spl0_36
| ~ spl0_66 ),
inference(forward_demodulation,[],[f840,f351]) ).
thf(f11649,plain,
( ~ spl0_45
| ~ spl0_74 ),
inference(avatar_contradiction_clause,[],[f11648]) ).
thf(f11648,plain,
( $false
| ~ spl0_45
| ~ spl0_74 ),
inference(trivial_inequality_removal,[],[f11647]) ).
thf(f11647,plain,
( ( $true = $false )
| ~ spl0_45
| ~ spl0_74 ),
inference(backward_demodulation,[],[f918,f421]) ).
thf(f11636,plain,
( ~ spl0_30
| ~ spl0_53
| spl0_56 ),
inference(avatar_contradiction_clause,[],[f11635]) ).
thf(f11635,plain,
( $false
| ~ spl0_30
| ~ spl0_53
| spl0_56 ),
inference(subsumption_resolution,[],[f11634,f485]) ).
thf(f11634,plain,
( ( $false = vAPP($o,$o,f0,$true) )
| ~ spl0_30
| ~ spl0_53 ),
inference(forward_demodulation,[],[f11633,f183]) ).
thf(f11633,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ~ spl0_30
| ~ spl0_53 ),
inference(forward_demodulation,[],[f471,f183]) ).
thf(f471,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ~ spl0_53 ),
inference(avatar_component_clause,[],[f469]) ).
thf(f11632,plain,
( ~ spl0_30
| spl0_62 ),
inference(avatar_contradiction_clause,[],[f11631]) ).
thf(f11631,plain,
( $false
| ~ spl0_30
| spl0_62 ),
inference(subsumption_resolution,[],[f11630,f183]) ).
thf(f11630,plain,
( ( $true != vAPP($o,$o,f0,$true) )
| ~ spl0_30
| spl0_62 ),
inference(forward_demodulation,[],[f740,f183]) ).
thf(f11535,plain,
( ~ spl0_101
| spl0_145
| ~ spl0_157 ),
inference(avatar_contradiction_clause,[],[f11534]) ).
thf(f11534,plain,
( $false
| ~ spl0_101
| spl0_145
| ~ spl0_157 ),
inference(subsumption_resolution,[],[f11532,f11100]) ).
thf(f11100,plain,
( ( $false != vAPP($o,$o,f2,$false) )
| ~ spl0_101
| spl0_145 ),
inference(forward_demodulation,[],[f4613,f2233]) ).
thf(f11319,plain,
( spl0_26
| ~ spl0_30
| ~ spl0_150 ),
inference(avatar_contradiction_clause,[],[f11318]) ).
thf(f11318,plain,
( $false
| spl0_26
| ~ spl0_30
| ~ spl0_150 ),
inference(subsumption_resolution,[],[f11317,f183]) ).
thf(f11317,plain,
( ( $true != vAPP($o,$o,f0,$true) )
| spl0_26
| ~ spl0_150 ),
inference(forward_demodulation,[],[f11316,f5115]) ).
thf(f11316,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| spl0_26
| ~ spl0_150 ),
inference(forward_demodulation,[],[f164,f5115]) ).
thf(f164,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) )
| spl0_26 ),
inference(avatar_component_clause,[],[f163]) ).
thf(f11247,plain,
( ~ spl0_5
| spl0_65
| ~ spl0_105
| ~ spl0_111
| ~ spl0_168 ),
inference(avatar_contradiction_clause,[],[f11246]) ).
thf(f11246,plain,
( $false
| ~ spl0_5
| spl0_65
| ~ spl0_105
| ~ spl0_111
| ~ spl0_168 ),
inference(subsumption_resolution,[],[f11245,f2661]) ).
thf(f11245,plain,
( ( $false != vAPP($o,$o,f5,$true) )
| ~ spl0_5
| spl0_65
| ~ spl0_105
| ~ spl0_168 ),
inference(forward_demodulation,[],[f11244,f2568]) ).
thf(f11244,plain,
( ( $false != vAPP($o,$o,f5,vAPP($o,$o,f6,$false)) )
| ~ spl0_5
| spl0_65
| ~ spl0_105
| ~ spl0_168 ),
inference(forward_demodulation,[],[f11243,f9125]) ).
thf(f11243,plain,
( ( $false != vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$true))) )
| ~ spl0_5
| spl0_65
| ~ spl0_105 ),
inference(forward_demodulation,[],[f11242,f2568]) ).
thf(f11242,plain,
( ( $false != vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,$false)))) )
| ~ spl0_5
| spl0_65 ),
inference(forward_demodulation,[],[f835,f71]) ).
thf(f11233,plain,
( ~ spl0_74
| ~ spl0_93
| ~ spl0_102
| ~ spl0_103
| ~ spl0_144 ),
inference(avatar_contradiction_clause,[],[f11232]) ).
thf(f11232,plain,
( $false
| ~ spl0_74
| ~ spl0_93
| ~ spl0_102
| ~ spl0_103
| ~ spl0_144 ),
inference(trivial_inequality_removal,[],[f11231]) ).
thf(f11231,plain,
( ( $true = $false )
| ~ spl0_74
| ~ spl0_93
| ~ spl0_102
| ~ spl0_103
| ~ spl0_144 ),
inference(forward_demodulation,[],[f11230,f1670]) ).
thf(f11230,plain,
( ( $true = vAPP($o,$o,f0,$false) )
| ~ spl0_74
| ~ spl0_93
| ~ spl0_102
| ~ spl0_103
| ~ spl0_144 ),
inference(forward_demodulation,[],[f11229,f1670]) ).
thf(f11229,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,$false)) )
| ~ spl0_74
| ~ spl0_93
| ~ spl0_102
| ~ spl0_103
| ~ spl0_144 ),
inference(forward_demodulation,[],[f11228,f1670]) ).
thf(f11228,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$false))) )
| ~ spl0_74
| ~ spl0_102
| ~ spl0_103
| ~ spl0_144 ),
inference(forward_demodulation,[],[f11227,f2415]) ).
thf(f11227,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$false)))) )
| ~ spl0_74
| ~ spl0_102
| ~ spl0_144 ),
inference(forward_demodulation,[],[f11226,f10382]) ).
thf(f10382,plain,
( ( $false = vAPP($o,$o,f2,$false) )
| ~ spl0_102
| ~ spl0_144 ),
inference(forward_demodulation,[],[f4477,f2237]) ).
thf(f11226,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$false))))) )
| ~ spl0_74
| ~ spl0_102
| ~ spl0_144 ),
inference(forward_demodulation,[],[f11225,f10382]) ).
thf(f11225,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$false)))))) )
| ~ spl0_74
| ~ spl0_102 ),
inference(forward_demodulation,[],[f918,f2237]) ).
thf(f11138,plain,
( ~ spl0_5
| ~ spl0_105
| spl0_115
| ~ spl0_168 ),
inference(avatar_contradiction_clause,[],[f11137]) ).
thf(f11137,plain,
( $false
| ~ spl0_5
| ~ spl0_105
| spl0_115
| ~ spl0_168 ),
inference(subsumption_resolution,[],[f11136,f2568]) ).
thf(f11136,plain,
( ( $true != vAPP($o,$o,f6,$false) )
| ~ spl0_5
| ~ spl0_105
| spl0_115
| ~ spl0_168 ),
inference(forward_demodulation,[],[f11135,f9125]) ).
thf(f11135,plain,
( ( $true != vAPP($o,$o,f6,vAPP($o,$o,f6,$true)) )
| ~ spl0_5
| ~ spl0_105
| spl0_115 ),
inference(forward_demodulation,[],[f11134,f2568]) ).
thf(f11134,plain,
( ( $true != vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,$false))) )
| ~ spl0_5
| spl0_115 ),
inference(forward_demodulation,[],[f3019,f71]) ).
thf(f3019,plain,
( ( vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x))) != $true )
| spl0_115 ),
inference(avatar_component_clause,[],[f3018]) ).
thf(f11108,plain,
( ~ spl0_102
| spl0_139
| ~ spl0_144 ),
inference(avatar_contradiction_clause,[],[f11107]) ).
thf(f11107,plain,
( $false
| ~ spl0_102
| spl0_139
| ~ spl0_144 ),
inference(subsumption_resolution,[],[f11106,f10382]) ).
thf(f11106,plain,
( ( $false != vAPP($o,$o,f2,$false) )
| ~ spl0_102
| spl0_139
| ~ spl0_144 ),
inference(forward_demodulation,[],[f4318,f10382]) ).
thf(f11053,plain,
( spl0_168
| ~ spl0_31
| ~ spl0_105 ),
inference(avatar_split_clause,[],[f10842,f2566,f327,f9124]) ).
thf(f10842,plain,
( ( $false = vAPP($o,$o,f6,$true) )
| ~ spl0_31
| ~ spl0_105 ),
inference(forward_demodulation,[],[f329,f2568]) ).
thf(f11019,plain,
( spl0_45
| ~ spl0_93
| ~ spl0_102
| ~ spl0_103
| ~ spl0_144 ),
inference(avatar_contradiction_clause,[],[f11018]) ).
thf(f11018,plain,
( $false
| spl0_45
| ~ spl0_93
| ~ spl0_102
| ~ spl0_103
| ~ spl0_144 ),
inference(subsumption_resolution,[],[f11017,f1670]) ).
thf(f11017,plain,
( ( $false != vAPP($o,$o,f0,$false) )
| spl0_45
| ~ spl0_93
| ~ spl0_102
| ~ spl0_103
| ~ spl0_144 ),
inference(forward_demodulation,[],[f11016,f1670]) ).
thf(f11016,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,$false)) )
| spl0_45
| ~ spl0_93
| ~ spl0_102
| ~ spl0_103
| ~ spl0_144 ),
inference(forward_demodulation,[],[f11015,f1670]) ).
thf(f11015,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$false))) )
| spl0_45
| ~ spl0_102
| ~ spl0_103
| ~ spl0_144 ),
inference(forward_demodulation,[],[f11014,f2415]) ).
thf(f11014,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$false)))) )
| spl0_45
| ~ spl0_102
| ~ spl0_144 ),
inference(forward_demodulation,[],[f11005,f10382]) ).
thf(f11005,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$false))))) )
| spl0_45
| ~ spl0_102
| ~ spl0_144 ),
inference(backward_demodulation,[],[f10019,f10382]) ).
thf(f10019,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$false)))))) )
| spl0_45
| ~ spl0_102 ),
inference(forward_demodulation,[],[f420,f2237]) ).
thf(f10983,plain,
( ~ spl0_78
| ~ spl0_93
| ~ spl0_102
| ~ spl0_103 ),
inference(avatar_contradiction_clause,[],[f10982]) ).
thf(f10982,plain,
( $false
| ~ spl0_78
| ~ spl0_93
| ~ spl0_102
| ~ spl0_103 ),
inference(trivial_inequality_removal,[],[f10981]) ).
thf(f10981,plain,
( ( $true = $false )
| ~ spl0_78
| ~ spl0_93
| ~ spl0_102
| ~ spl0_103 ),
inference(forward_demodulation,[],[f10980,f1670]) ).
thf(f10980,plain,
( ( $true = vAPP($o,$o,f0,$false) )
| ~ spl0_78
| ~ spl0_93
| ~ spl0_102
| ~ spl0_103 ),
inference(forward_demodulation,[],[f10979,f1670]) ).
thf(f10979,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,$false)) )
| ~ spl0_78
| ~ spl0_93
| ~ spl0_102
| ~ spl0_103 ),
inference(forward_demodulation,[],[f10978,f1670]) ).
thf(f10978,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$false))) )
| ~ spl0_78
| ~ spl0_102
| ~ spl0_103 ),
inference(forward_demodulation,[],[f10483,f2415]) ).
thf(f10483,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$false)))) )
| ~ spl0_78
| ~ spl0_102 ),
inference(forward_demodulation,[],[f951,f2237]) ).
thf(f10974,plain,
( spl0_155
| ~ spl0_57
| ~ spl0_105 ),
inference(avatar_split_clause,[],[f10783,f2566,f490,f5832]) ).
thf(f10783,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$true))))))))))))) )
| ~ spl0_57
| ~ spl0_105 ),
inference(forward_demodulation,[],[f492,f2568]) ).
thf(f492,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,$false)))))))))))))) )
| ~ spl0_57 ),
inference(avatar_component_clause,[],[f490]) ).
thf(f10960,plain,
( spl0_101
| ~ spl0_19
| ~ spl0_23
| ~ spl0_111
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f10959,f3022,f2659,f150,f132,f2231]) ).
thf(f10959,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,$false)) )
| ~ spl0_19
| ~ spl0_23
| ~ spl0_111
| ~ spl0_116 ),
inference(backward_demodulation,[],[f8939,f10048]) ).
thf(f10048,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false))))) )
| ~ spl0_19
| ~ spl0_111
| ~ spl0_116 ),
inference(forward_demodulation,[],[f10047,f2661]) ).
thf(f8939,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false))))))) )
| ~ spl0_23
| ~ spl0_111
| ~ spl0_116 ),
inference(forward_demodulation,[],[f8938,f2661]) ).
thf(f10625,plain,
( ~ spl0_154
| ~ spl0_101
| ~ spl0_157
| spl0_160 ),
inference(avatar_split_clause,[],[f10206,f6325,f6226,f2231,f5828]) ).
thf(f10206,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ~ spl0_101
| ~ spl0_157
| spl0_160 ),
inference(forward_demodulation,[],[f6326,f9914]) ).
thf(f9914,plain,
( ( $false = vAPP($o,$o,f2,$false) )
| ~ spl0_101
| ~ spl0_157 ),
inference(backward_demodulation,[],[f2233,f6228]) ).
thf(f10622,plain,
( ~ spl0_17
| spl0_27
| ~ spl0_101
| ~ spl0_111
| ~ spl0_116
| ~ spl0_157
| ~ spl0_166 ),
inference(avatar_contradiction_clause,[],[f10621]) ).
thf(f10621,plain,
( $false
| ~ spl0_17
| spl0_27
| ~ spl0_101
| ~ spl0_111
| ~ spl0_116
| ~ spl0_157
| ~ spl0_166 ),
inference(subsumption_resolution,[],[f10259,f7913]) ).
thf(f10259,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,$false)) )
| ~ spl0_17
| spl0_27
| ~ spl0_101
| ~ spl0_111
| ~ spl0_116
| ~ spl0_157 ),
inference(forward_demodulation,[],[f10258,f9914]) ).
thf(f10258,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$false))) )
| ~ spl0_17
| spl0_27
| ~ spl0_111
| ~ spl0_116
| ~ spl0_157 ),
inference(forward_demodulation,[],[f10257,f6228]) ).
thf(f10257,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$false)))) )
| ~ spl0_17
| spl0_27
| ~ spl0_111
| ~ spl0_116
| ~ spl0_157 ),
inference(forward_demodulation,[],[f10256,f6228]) ).
thf(f10256,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$false))))) )
| ~ spl0_17
| spl0_27
| ~ spl0_111
| ~ spl0_116 ),
inference(forward_demodulation,[],[f10039,f10054]) ).
thf(f10054,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false)))) )
| ~ spl0_17
| ~ spl0_111
| ~ spl0_116 ),
inference(forward_demodulation,[],[f10053,f2661]) ).
thf(f10053,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true))))) )
| ~ spl0_17
| ~ spl0_116 ),
inference(forward_demodulation,[],[f125,f3024]) ).
thf(f10039,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false))))))))) )
| spl0_27
| ~ spl0_111
| ~ spl0_116 ),
inference(forward_demodulation,[],[f10038,f2661]) ).
thf(f10038,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true)))))))))) )
| spl0_27
| ~ spl0_116 ),
inference(forward_demodulation,[],[f169,f3024]) ).
thf(f10602,plain,
( spl0_154
| ~ spl0_96
| ~ spl0_110
| ~ spl0_111
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f10403,f3269,f2659,f2651,f1752,f5828]) ).
thf(f10403,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ~ spl0_96
| ~ spl0_110
| ~ spl0_111
| ~ spl0_132 ),
inference(backward_demodulation,[],[f3271,f10402]) ).
thf(f10402,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))))))) )
| ~ spl0_96
| ~ spl0_110
| ~ spl0_111 ),
inference(forward_demodulation,[],[f10401,f2653]) ).
thf(f10401,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$false)))))))) )
| ~ spl0_96
| ~ spl0_110
| ~ spl0_111 ),
inference(forward_demodulation,[],[f10398,f2661]) ).
thf(f10398,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$true))))))))) )
| ~ spl0_96
| ~ spl0_110 ),
inference(backward_demodulation,[],[f1754,f2653]) ).
thf(f10435,plain,
( ~ spl0_24
| ~ spl0_93
| ~ spl0_99
| ~ spl0_104 ),
inference(avatar_contradiction_clause,[],[f10434]) ).
thf(f10434,plain,
( $false
| ~ spl0_24
| ~ spl0_93
| ~ spl0_99
| ~ spl0_104 ),
inference(trivial_inequality_removal,[],[f10433]) ).
thf(f10433,plain,
( ( $true = $false )
| ~ spl0_24
| ~ spl0_93
| ~ spl0_99
| ~ spl0_104 ),
inference(forward_demodulation,[],[f10432,f1670]) ).
thf(f10432,plain,
( ( $true = vAPP($o,$o,f0,$false) )
| ~ spl0_24
| ~ spl0_99
| ~ spl0_104 ),
inference(forward_demodulation,[],[f10431,f2419]) ).
thf(f10431,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ~ spl0_24
| ~ spl0_99
| ~ spl0_104 ),
inference(forward_demodulation,[],[f10427,f2165]) ).
thf(f10427,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ~ spl0_24
| ~ spl0_104 ),
inference(backward_demodulation,[],[f156,f2419]) ).
thf(f10411,plain,
( spl0_107
| ~ spl0_110
| ~ spl0_111 ),
inference(avatar_contradiction_clause,[],[f10410]) ).
thf(f10410,plain,
( $false
| spl0_107
| ~ spl0_110
| ~ spl0_111 ),
inference(subsumption_resolution,[],[f10409,f2661]) ).
thf(f10409,plain,
( ( $false != vAPP($o,$o,f5,$true) )
| spl0_107
| ~ spl0_110 ),
inference(forward_demodulation,[],[f2636,f2653]) ).
thf(f10261,plain,
( ~ spl0_104
| ~ spl0_17
| spl0_27
| ~ spl0_99
| ~ spl0_101
| ~ spl0_111
| ~ spl0_116
| ~ spl0_157 ),
inference(avatar_split_clause,[],[f10260,f6226,f3022,f2659,f2231,f2163,f168,f123,f2417]) ).
thf(f10260,plain,
( ( $false != vAPP($o,$o,f1,$true) )
| ~ spl0_17
| spl0_27
| ~ spl0_99
| ~ spl0_101
| ~ spl0_111
| ~ spl0_116
| ~ spl0_157 ),
inference(forward_demodulation,[],[f10259,f2165]) ).
thf(f10244,plain,
( spl0_104
| spl0_28
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f8837,f163,f172,f2417]) ).
thf(f8837,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ( $false = vAPP($o,$o,f1,$true) )
| ~ spl0_26 ),
inference(superposition,[],[f165,f4]) ).
thf(f9925,plain,
( spl0_22
| ~ spl0_30
| ~ spl0_99
| ~ spl0_102
| ~ spl0_166 ),
inference(avatar_contradiction_clause,[],[f9924]) ).
thf(f9924,plain,
( $false
| spl0_22
| ~ spl0_30
| ~ spl0_99
| ~ spl0_102
| ~ spl0_166 ),
inference(subsumption_resolution,[],[f9921,f183]) ).
thf(f9921,plain,
( ( $true != vAPP($o,$o,f0,$true) )
| spl0_22
| ~ spl0_99
| ~ spl0_102
| ~ spl0_166 ),
inference(backward_demodulation,[],[f9804,f2165]) ).
thf(f9804,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| spl0_22
| ~ spl0_102
| ~ spl0_166 ),
inference(backward_demodulation,[],[f9776,f7913]) ).
thf(f9776,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| spl0_22
| ~ spl0_102 ),
inference(forward_demodulation,[],[f146,f2237]) ).
thf(f9861,plain,
( spl0_101
| ~ spl0_137
| ~ spl0_140 ),
inference(avatar_split_clause,[],[f9860,f4388,f4036,f2231]) ).
thf(f9860,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,$false)) )
| ~ spl0_137
| ~ spl0_140 ),
inference(forward_demodulation,[],[f4038,f4390]) ).
thf(f9672,plain,
( ~ spl0_143
| spl0_19
| ~ spl0_69
| ~ spl0_71
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116
| ~ spl0_138 ),
inference(avatar_split_clause,[],[f7899,f4312,f3022,f2659,f2635,f894,f875,f132,f4459]) ).
thf(f7899,plain,
( ( $false != vAPP($o,$o,f3,$true) )
| spl0_19
| ~ spl0_69
| ~ spl0_71
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116
| ~ spl0_138 ),
inference(forward_demodulation,[],[f7898,f4314]) ).
thf(f7898,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f3,$false)) )
| spl0_19
| ~ spl0_69
| ~ spl0_71
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116 ),
inference(forward_demodulation,[],[f7897,f1056]) ).
thf(f7897,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))) )
| spl0_19
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116 ),
inference(forward_demodulation,[],[f7896,f2637]) ).
thf(f7896,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false))))) )
| spl0_19
| ~ spl0_111
| ~ spl0_116 ),
inference(forward_demodulation,[],[f7895,f2661]) ).
thf(f7895,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true)))))) )
| spl0_19
| ~ spl0_116 ),
inference(forward_demodulation,[],[f133,f3024]) ).
thf(f9663,plain,
( spl0_104
| spl0_30
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f8799,f172,f181,f2417]) ).
thf(f8799,plain,
( ( $true = vAPP($o,$o,f0,$true) )
| ( $false = vAPP($o,$o,f1,$true) )
| ~ spl0_28 ),
inference(superposition,[],[f174,f4]) ).
thf(f9662,plain,
( spl0_169
| spl0_30
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f8838,f163,f181,f9659]) ).
thf(f8838,plain,
( ( $true = vAPP($o,$o,f0,$true) )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) )
| ~ spl0_26 ),
inference(superposition,[],[f165,f4]) ).
thf(f9657,plain,
( spl0_94
| ~ spl0_18
| ~ spl0_103
| ~ spl0_137
| ~ spl0_138 ),
inference(avatar_split_clause,[],[f9656,f4312,f4036,f2413,f127,f1674]) ).
thf(f9656,plain,
( ( $true = vAPP($o,$o,f0,$false) )
| ~ spl0_18
| ~ spl0_103
| ~ spl0_137
| ~ spl0_138 ),
inference(forward_demodulation,[],[f9655,f2415]) ).
thf(f9655,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ~ spl0_18
| ~ spl0_103
| ~ spl0_137
| ~ spl0_138 ),
inference(forward_demodulation,[],[f9654,f2415]) ).
thf(f9654,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ~ spl0_18
| ~ spl0_103
| ~ spl0_137
| ~ spl0_138 ),
inference(forward_demodulation,[],[f8934,f2415]) ).
thf(f8934,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ~ spl0_18
| ~ spl0_137
| ~ spl0_138 ),
inference(backward_demodulation,[],[f129,f8929]) ).
thf(f8929,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$true))) )
| ~ spl0_137
| ~ spl0_138 ),
inference(forward_demodulation,[],[f4038,f4314]) ).
thf(f9653,plain,
( spl0_30
| spl0_56 ),
inference(avatar_contradiction_clause,[],[f9652]) ).
thf(f9652,plain,
( $false
| spl0_30
| spl0_56 ),
inference(subsumption_resolution,[],[f9645,f485]) ).
thf(f9645,plain,
( ( $false = vAPP($o,$o,f0,$true) )
| spl0_30 ),
inference(trivial_inequality_removal,[],[f9644]) ).
thf(f9644,plain,
( ( $true != $true )
| ( $false = vAPP($o,$o,f0,$true) )
| spl0_30 ),
inference(superposition,[],[f182,f4]) ).
thf(f182,plain,
( ( $true != vAPP($o,$o,f0,$true) )
| spl0_30 ),
inference(avatar_component_clause,[],[f181]) ).
thf(f9633,plain,
( spl0_37
| ~ spl0_51
| ~ spl0_94
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f9632,f2417,f1674,f458,f362]) ).
thf(f9632,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ~ spl0_51
| ~ spl0_94
| ~ spl0_104 ),
inference(forward_demodulation,[],[f9631,f1676]) ).
thf(f9631,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$false))) )
| ~ spl0_51
| ~ spl0_104 ),
inference(forward_demodulation,[],[f460,f2419]) ).
thf(f460,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ~ spl0_51 ),
inference(avatar_component_clause,[],[f458]) ).
thf(f9561,plain,
( spl0_37
| ~ spl0_26
| ~ spl0_43
| ~ spl0_104
| ~ spl0_139
| ~ spl0_141 ),
inference(avatar_split_clause,[],[f9397,f4392,f4316,f2417,f404,f163,f362]) ).
thf(f9397,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ~ spl0_26
| ~ spl0_43
| ~ spl0_104
| ~ spl0_139
| ~ spl0_141 ),
inference(forward_demodulation,[],[f8937,f9383]) ).
thf(f9383,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ~ spl0_26
| ~ spl0_104 ),
inference(forward_demodulation,[],[f165,f2419]) ).
thf(f8937,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$false)))) )
| ~ spl0_43
| ~ spl0_139
| ~ spl0_141 ),
inference(forward_demodulation,[],[f8936,f4317]) ).
thf(f8936,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$false)))))) )
| ~ spl0_43
| ~ spl0_141 ),
inference(forward_demodulation,[],[f406,f4394]) ).
thf(f9407,plain,
( ~ spl0_3
| spl0_93
| ~ spl0_116
| ~ spl0_155 ),
inference(avatar_contradiction_clause,[],[f9406]) ).
thf(f9406,plain,
( $false
| ~ spl0_3
| spl0_93
| ~ spl0_116
| ~ spl0_155 ),
inference(subsumption_resolution,[],[f9405,f1669]) ).
thf(f9405,plain,
( ( $false = vAPP($o,$o,f0,$false) )
| ~ spl0_3
| ~ spl0_116
| ~ spl0_155 ),
inference(backward_demodulation,[],[f8302,f5834]) ).
thf(f8302,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$true)))))))))))))) )
| ~ spl0_3
| ~ spl0_116 ),
inference(forward_demodulation,[],[f21,f3024]) ).
thf(f9403,plain,
( ~ spl0_126
| spl0_115
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f9177,f3022,f3018,f3126]) ).
thf(f9177,plain,
( ( $true != vAPP($o,$o,f6,vAPP($o,$o,f6,$true)) )
| spl0_115
| ~ spl0_116 ),
inference(forward_demodulation,[],[f3019,f3024]) ).
thf(f9390,plain,
( spl0_103
| ~ spl0_26
| spl0_30
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f9389,f2417,f181,f163,f2413]) ).
thf(f9389,plain,
( ( $false = vAPP($o,$o,f1,$false) )
| ~ spl0_26
| spl0_30
| ~ spl0_104 ),
inference(forward_demodulation,[],[f9388,f2419]) ).
thf(f9388,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) )
| ~ spl0_26
| spl0_30 ),
inference(subsumption_resolution,[],[f8838,f182]) ).
thf(f9323,plain,
( spl0_37
| ~ spl0_28
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f9322,f458,f172,f362]) ).
thf(f9322,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ~ spl0_28
| ~ spl0_51 ),
inference(backward_demodulation,[],[f460,f174]) ).
thf(f9289,plain,
( ~ spl0_104
| spl0_103
| spl0_166 ),
inference(avatar_split_clause,[],[f9288,f7911,f2413,f2417]) ).
thf(f9288,plain,
( ( $false != vAPP($o,$o,f1,$true) )
| spl0_103
| spl0_166 ),
inference(subsumption_resolution,[],[f8826,f2414]) ).
thf(f8826,plain,
( ( $false != vAPP($o,$o,f1,$true) )
| ( $false = vAPP($o,$o,f1,$false) )
| spl0_166 ),
inference(superposition,[],[f7912,f4]) ).
thf(f9129,plain,
( ~ spl0_168
| spl0_63
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f8740,f3022,f824,f9124]) ).
thf(f824,plain,
( spl0_63
<=> ( vAPP($o,$o,f6,vAPP($o,$o,f6,x)) = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
thf(f8740,plain,
( ( $false != vAPP($o,$o,f6,$true) )
| spl0_63
| ~ spl0_116 ),
inference(forward_demodulation,[],[f825,f3024]) ).
thf(f825,plain,
( ( vAPP($o,$o,f6,vAPP($o,$o,f6,x)) != $false )
| spl0_63 ),
inference(avatar_component_clause,[],[f824]) ).
thf(f9128,plain,
( ~ spl0_168
| spl0_31
| ~ spl0_105 ),
inference(avatar_split_clause,[],[f8764,f2566,f327,f9124]) ).
thf(f8764,plain,
( ( $false != vAPP($o,$o,f6,$true) )
| spl0_31
| ~ spl0_105 ),
inference(forward_demodulation,[],[f328,f2568]) ).
thf(f9102,plain,
( spl0_30
| ~ spl0_26
| spl0_104
| ~ spl0_150 ),
inference(avatar_split_clause,[],[f9101,f5113,f2417,f163,f181]) ).
thf(f9101,plain,
( ( $true = vAPP($o,$o,f0,$true) )
| ~ spl0_26
| spl0_104
| ~ spl0_150 ),
inference(subsumption_resolution,[],[f9100,f2418]) ).
thf(f9100,plain,
( ( $false = vAPP($o,$o,f1,$true) )
| ( $true = vAPP($o,$o,f0,$true) )
| ~ spl0_26
| ~ spl0_150 ),
inference(forward_demodulation,[],[f8838,f5115]) ).
thf(f8959,plain,
( spl0_99
| spl0_103 ),
inference(avatar_contradiction_clause,[],[f8958]) ).
thf(f8958,plain,
( $false
| spl0_99
| spl0_103 ),
inference(subsumption_resolution,[],[f8956,f2414]) ).
thf(f8956,plain,
( ( $false = vAPP($o,$o,f1,$false) )
| spl0_99 ),
inference(trivial_inequality_removal,[],[f8955]) ).
thf(f8955,plain,
( ( $true != $true )
| ( $false = vAPP($o,$o,f1,$false) )
| spl0_99 ),
inference(superposition,[],[f2164,f4]) ).
thf(f2164,plain,
( ( $true != vAPP($o,$o,f1,$false) )
| spl0_99 ),
inference(avatar_component_clause,[],[f2163]) ).
thf(f8953,plain,
( spl0_151
| ~ spl0_150 ),
inference(avatar_split_clause,[],[f8952,f5113,f5164]) ).
thf(f8952,plain,
( ! [X0: $o] :
( ( $true = vAPP($o,$o,f1,X0) )
| ( $false = X0 ) )
| ~ spl0_150 ),
inference(duplicate_literal_removal,[],[f8950]) ).
thf(f8950,plain,
( ! [X0: $o] :
( ( $true = vAPP($o,$o,f1,X0) )
| ( $false = X0 )
| ( $false = X0 ) )
| ~ spl0_150 ),
inference(binary_proxy_clausification,[],[f8944]) ).
thf(f8944,plain,
( ! [X0: $o] :
( ( vAPP($o,$o,f1,X0) = X0 )
| ( $false = X0 ) )
| ~ spl0_150 ),
inference(superposition,[],[f5115,f4]) ).
thf(f8922,plain,
( ~ spl0_102
| spl0_137
| ~ spl0_138
| spl0_164 ),
inference(avatar_contradiction_clause,[],[f8921]) ).
thf(f8921,plain,
( $false
| ~ spl0_102
| spl0_137
| ~ spl0_138
| spl0_164 ),
inference(subsumption_resolution,[],[f8920,f7257]) ).
thf(f8920,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f3,$true)) )
| ~ spl0_102
| spl0_137
| ~ spl0_138 ),
inference(subsumption_resolution,[],[f8916,f2237]) ).
thf(f8916,plain,
( ( $false != vAPP($o,$o,f2,$true) )
| ( $false = vAPP($o,$o,f3,vAPP($o,$o,f3,$true)) )
| spl0_137
| ~ spl0_138 ),
inference(superposition,[],[f8000,f4]) ).
thf(f8000,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$true))) )
| spl0_137
| ~ spl0_138 ),
inference(forward_demodulation,[],[f4037,f4314]) ).
thf(f8899,plain,
( spl0_104
| spl0_150 ),
inference(avatar_contradiction_clause,[],[f8898]) ).
thf(f8898,plain,
( $false
| spl0_104
| spl0_150 ),
inference(subsumption_resolution,[],[f8892,f2418]) ).
thf(f8892,plain,
( ( $false = vAPP($o,$o,f1,$true) )
| spl0_150 ),
inference(trivial_inequality_removal,[],[f8891]) ).
thf(f8891,plain,
( ( $true != $true )
| ( $false = vAPP($o,$o,f1,$true) )
| spl0_150 ),
inference(superposition,[],[f5114,f4]) ).
thf(f5114,plain,
( ( $true != vAPP($o,$o,f1,$true) )
| spl0_150 ),
inference(avatar_component_clause,[],[f5113]) ).
thf(f8854,plain,
( spl0_89
| spl0_110 ),
inference(avatar_contradiction_clause,[],[f8853]) ).
thf(f8853,plain,
( $false
| spl0_89
| spl0_110 ),
inference(subsumption_resolution,[],[f8851,f1411]) ).
thf(f1411,plain,
( ( $false != vAPP($o,$o,f5,$false) )
| spl0_89 ),
inference(avatar_component_clause,[],[f1410]) ).
thf(f8851,plain,
( ( $false = vAPP($o,$o,f5,$false) )
| spl0_110 ),
inference(trivial_inequality_removal,[],[f8850]) ).
thf(f8850,plain,
( ( $true != $true )
| ( $false = vAPP($o,$o,f5,$false) )
| spl0_110 ),
inference(superposition,[],[f2652,f4]) ).
thf(f2652,plain,
( ( $true != vAPP($o,$o,f5,$false) )
| spl0_110 ),
inference(avatar_component_clause,[],[f2651]) ).
thf(f8794,plain,
( spl0_93
| spl0_94 ),
inference(avatar_contradiction_clause,[],[f8793]) ).
thf(f8793,plain,
( $false
| spl0_93
| spl0_94 ),
inference(subsumption_resolution,[],[f8791,f1669]) ).
thf(f8791,plain,
( ( $false = vAPP($o,$o,f0,$false) )
| spl0_94 ),
inference(trivial_inequality_removal,[],[f8790]) ).
thf(f8790,plain,
( ( $true != $true )
| ( $false = vAPP($o,$o,f0,$false) )
| spl0_94 ),
inference(superposition,[],[f1675,f4]) ).
thf(f1675,plain,
( ( $true != vAPP($o,$o,f0,$false) )
| spl0_94 ),
inference(avatar_component_clause,[],[f1674]) ).
thf(f8703,plain,
( ~ spl0_22
| spl0_59
| ~ spl0_69
| ~ spl0_71
| ~ spl0_102
| ~ spl0_105
| ~ spl0_111
| ~ spl0_126
| ~ spl0_138
| ~ spl0_139
| ~ spl0_166 ),
inference(avatar_contradiction_clause,[],[f8702]) ).
thf(f8702,plain,
( $false
| ~ spl0_22
| spl0_59
| ~ spl0_69
| ~ spl0_71
| ~ spl0_102
| ~ spl0_105
| ~ spl0_111
| ~ spl0_126
| ~ spl0_138
| ~ spl0_139
| ~ spl0_166 ),
inference(subsumption_resolution,[],[f8701,f8654]) ).
thf(f8654,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ~ spl0_22
| ~ spl0_102
| ~ spl0_166 ),
inference(backward_demodulation,[],[f8634,f7913]) ).
thf(f8634,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ~ spl0_22
| ~ spl0_102 ),
inference(forward_demodulation,[],[f147,f2237]) ).
thf(f8701,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| spl0_59
| ~ spl0_69
| ~ spl0_71
| ~ spl0_102
| ~ spl0_105
| ~ spl0_111
| ~ spl0_126
| ~ spl0_138
| ~ spl0_139 ),
inference(forward_demodulation,[],[f8700,f4317]) ).
thf(f8700,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$false)))) )
| spl0_59
| ~ spl0_69
| ~ spl0_71
| ~ spl0_102
| ~ spl0_105
| ~ spl0_111
| ~ spl0_126
| ~ spl0_138 ),
inference(forward_demodulation,[],[f8699,f2237]) ).
thf(f8699,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))))) )
| spl0_59
| ~ spl0_69
| ~ spl0_71
| ~ spl0_105
| ~ spl0_111
| ~ spl0_126
| ~ spl0_138 ),
inference(forward_demodulation,[],[f8698,f4314]) ).
thf(f8698,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$false)))))) )
| spl0_59
| ~ spl0_69
| ~ spl0_71
| ~ spl0_105
| ~ spl0_111
| ~ spl0_126 ),
inference(forward_demodulation,[],[f8697,f1056]) ).
thf(f8697,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))))) )
| spl0_59
| ~ spl0_69
| ~ spl0_71
| ~ spl0_105
| ~ spl0_111
| ~ spl0_126 ),
inference(forward_demodulation,[],[f8696,f1056]) ).
thf(f8696,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$false)))))))) )
| spl0_59
| ~ spl0_69
| ~ spl0_71
| ~ spl0_105
| ~ spl0_111
| ~ spl0_126 ),
inference(forward_demodulation,[],[f8695,f1056]) ).
thf(f8695,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$false))))))))) )
| spl0_59
| ~ spl0_105
| ~ spl0_111
| ~ spl0_126 ),
inference(forward_demodulation,[],[f8665,f2661]) ).
thf(f8665,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,$true)))))))))) )
| spl0_59
| ~ spl0_105
| ~ spl0_126 ),
inference(backward_demodulation,[],[f8495,f3128]) ).
thf(f8495,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$true)))))))))))) )
| spl0_59
| ~ spl0_105 ),
inference(forward_demodulation,[],[f504,f2568]) ).
thf(f504,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,$false))))))))))))) )
| spl0_59 ),
inference(avatar_component_clause,[],[f503]) ).
thf(f8658,plain,
( ~ spl0_22
| ~ spl0_30
| ~ spl0_45
| spl0_56
| ~ spl0_102
| ~ spl0_139
| ~ spl0_166 ),
inference(avatar_contradiction_clause,[],[f8657]) ).
thf(f8657,plain,
( $false
| ~ spl0_22
| ~ spl0_30
| ~ spl0_45
| spl0_56
| ~ spl0_102
| ~ spl0_139
| ~ spl0_166 ),
inference(subsumption_resolution,[],[f8656,f485]) ).
thf(f8656,plain,
( ( $false = vAPP($o,$o,f0,$true) )
| ~ spl0_22
| ~ spl0_30
| ~ spl0_45
| ~ spl0_102
| ~ spl0_139
| ~ spl0_166 ),
inference(forward_demodulation,[],[f8655,f183]) ).
thf(f8655,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ~ spl0_22
| ~ spl0_45
| ~ spl0_102
| ~ spl0_139
| ~ spl0_166 ),
inference(backward_demodulation,[],[f8509,f8654]) ).
thf(f8509,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$false)))) )
| ~ spl0_45
| ~ spl0_102
| ~ spl0_139 ),
inference(forward_demodulation,[],[f8508,f4317]) ).
thf(f8508,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$false)))))) )
| ~ spl0_45
| ~ spl0_102 ),
inference(forward_demodulation,[],[f421,f2237]) ).
thf(f8650,plain,
( ~ spl0_99
| ~ spl0_79
| spl0_84
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f8551,f3022,f991,f960,f2163]) ).
thf(f8551,plain,
( ( $true != vAPP($o,$o,f1,$false) )
| ~ spl0_79
| spl0_84
| ~ spl0_116 ),
inference(forward_demodulation,[],[f7788,f7961]) ).
thf(f7961,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$true)))))))))) )
| ~ spl0_79
| ~ spl0_116 ),
inference(forward_demodulation,[],[f962,f3024]) ).
thf(f7788,plain,
( ( $true != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$true))))))))))) )
| spl0_84
| ~ spl0_116 ),
inference(forward_demodulation,[],[f992,f3024]) ).
thf(f8632,plain,
( ~ spl0_27
| ~ spl0_69
| ~ spl0_71
| ~ spl0_103
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116
| ~ spl0_138
| spl0_167 ),
inference(avatar_contradiction_clause,[],[f8631]) ).
thf(f8631,plain,
( $false
| ~ spl0_27
| ~ spl0_69
| ~ spl0_71
| ~ spl0_103
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116
| ~ spl0_138
| spl0_167 ),
inference(subsumption_resolution,[],[f8628,f2415]) ).
thf(f8628,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ~ spl0_27
| ~ spl0_69
| ~ spl0_71
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116
| ~ spl0_138
| spl0_167 ),
inference(backward_demodulation,[],[f8069,f8626]) ).
thf(f8626,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$true))))) )
| ~ spl0_27
| ~ spl0_69
| ~ spl0_71
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116
| ~ spl0_138 ),
inference(forward_demodulation,[],[f8625,f4314]) ).
thf(f8625,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$false)))))) )
| ~ spl0_27
| ~ spl0_69
| ~ spl0_71
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116 ),
inference(forward_demodulation,[],[f8624,f1056]) ).
thf(f8624,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))))) )
| ~ spl0_27
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116 ),
inference(forward_demodulation,[],[f8623,f2637]) ).
thf(f8623,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false))))))))) )
| ~ spl0_27
| ~ spl0_111
| ~ spl0_116 ),
inference(forward_demodulation,[],[f8622,f2661]) ).
thf(f8622,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true)))))))))) )
| ~ spl0_27
| ~ spl0_116 ),
inference(forward_demodulation,[],[f170,f3024]) ).
thf(f8620,plain,
( ~ spl0_30
| ~ spl0_37
| spl0_56 ),
inference(avatar_contradiction_clause,[],[f8619]) ).
thf(f8619,plain,
( $false
| ~ spl0_30
| ~ spl0_37
| spl0_56 ),
inference(subsumption_resolution,[],[f8618,f485]) ).
thf(f8618,plain,
( ( $false = vAPP($o,$o,f0,$true) )
| ~ spl0_30
| ~ spl0_37 ),
inference(forward_demodulation,[],[f364,f183]) ).
thf(f364,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f362]) ).
thf(f8538,plain,
( ~ spl0_21
| ~ spl0_69
| ~ spl0_71
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116
| ~ spl0_138
| spl0_164 ),
inference(avatar_contradiction_clause,[],[f8537]) ).
thf(f8537,plain,
( $false
| ~ spl0_21
| ~ spl0_69
| ~ spl0_71
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116
| ~ spl0_138
| spl0_164 ),
inference(subsumption_resolution,[],[f8536,f7257]) ).
thf(f8536,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f3,$true)) )
| ~ spl0_21
| ~ spl0_69
| ~ spl0_71
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116
| ~ spl0_138 ),
inference(forward_demodulation,[],[f8535,f4314]) ).
thf(f8535,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$false))) )
| ~ spl0_21
| ~ spl0_69
| ~ spl0_71
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116 ),
inference(forward_demodulation,[],[f8534,f1056]) ).
thf(f8534,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))) )
| ~ spl0_21
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116 ),
inference(forward_demodulation,[],[f8533,f2637]) ).
thf(f8533,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false)))))) )
| ~ spl0_21
| ~ spl0_111
| ~ spl0_116 ),
inference(forward_demodulation,[],[f8532,f2661]) ).
thf(f8532,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true))))))) )
| ~ spl0_21
| ~ spl0_116 ),
inference(forward_demodulation,[],[f143,f3024]) ).
thf(f8340,plain,
( spl0_94
| ~ spl0_22
| ~ spl0_102
| ~ spl0_103 ),
inference(avatar_split_clause,[],[f8265,f2413,f2235,f145,f1674]) ).
thf(f8265,plain,
( ( $true = vAPP($o,$o,f0,$false) )
| ~ spl0_22
| ~ spl0_102
| ~ spl0_103 ),
inference(forward_demodulation,[],[f8264,f2415]) ).
thf(f8264,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ~ spl0_22
| ~ spl0_102
| ~ spl0_103 ),
inference(forward_demodulation,[],[f8263,f2415]) ).
thf(f8263,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ~ spl0_22
| ~ spl0_102
| ~ spl0_103 ),
inference(forward_demodulation,[],[f8262,f2415]) ).
thf(f8262,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ~ spl0_22
| ~ spl0_102 ),
inference(forward_demodulation,[],[f147,f2237]) ).
thf(f8273,plain,
( ~ spl0_18
| ~ spl0_156 ),
inference(avatar_contradiction_clause,[],[f8272]) ).
thf(f8272,plain,
( $false
| ~ spl0_18
| ~ spl0_156 ),
inference(trivial_inequality_removal,[],[f8271]) ).
thf(f8271,plain,
( ( $true = $false )
| ~ spl0_18
| ~ spl0_156 ),
inference(forward_demodulation,[],[f129,f6224]) ).
thf(f8250,plain,
( ~ spl0_28
| ~ spl0_30
| ~ spl0_51
| spl0_56 ),
inference(avatar_contradiction_clause,[],[f8249]) ).
thf(f8249,plain,
( $false
| ~ spl0_28
| ~ spl0_30
| ~ spl0_51
| spl0_56 ),
inference(subsumption_resolution,[],[f8248,f485]) ).
thf(f8248,plain,
( ( $false = vAPP($o,$o,f0,$true) )
| ~ spl0_28
| ~ spl0_30
| ~ spl0_51 ),
inference(forward_demodulation,[],[f8247,f183]) ).
thf(f8247,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ~ spl0_28
| ~ spl0_51 ),
inference(backward_demodulation,[],[f460,f174]) ).
thf(f8120,plain,
( ~ spl0_103
| spl0_166 ),
inference(avatar_contradiction_clause,[],[f8119]) ).
thf(f8119,plain,
( $false
| ~ spl0_103
| spl0_166 ),
inference(subsumption_resolution,[],[f8113,f2415]) ).
thf(f8113,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ~ spl0_103
| spl0_166 ),
inference(backward_demodulation,[],[f7912,f2415]) ).
thf(f8071,plain,
( spl0_56
| spl0_167
| ~ spl0_4
| ~ spl0_69
| ~ spl0_71
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116
| ~ spl0_138 ),
inference(avatar_split_clause,[],[f8066,f4312,f3022,f2659,f2635,f894,f875,f23,f8068,f484]) ).
thf(f8066,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$true)))))) )
| ( $false = vAPP($o,$o,f0,$true) )
| ~ spl0_4
| ~ spl0_69
| ~ spl0_71
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116
| ~ spl0_138 ),
inference(forward_demodulation,[],[f8065,f4314]) ).
thf(f8065,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$false))))))) )
| ( $false = vAPP($o,$o,f0,$true) )
| ~ spl0_4
| ~ spl0_69
| ~ spl0_71
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116 ),
inference(forward_demodulation,[],[f8064,f1056]) ).
thf(f8064,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))))))) )
| ( $false = vAPP($o,$o,f0,$true) )
| ~ spl0_4
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116 ),
inference(forward_demodulation,[],[f8063,f2637]) ).
thf(f8063,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false)))))))))) )
| ( $false = vAPP($o,$o,f0,$true) )
| ~ spl0_4
| ~ spl0_111
| ~ spl0_116 ),
inference(forward_demodulation,[],[f8062,f2661]) ).
thf(f8062,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true))))))))))) )
| ( $false = vAPP($o,$o,f0,$true) )
| ~ spl0_4
| ~ spl0_116 ),
inference(forward_demodulation,[],[f1595,f3024]) ).
thf(f1595,plain,
( ( $false = vAPP($o,$o,f0,$true) )
| ( vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,x)))))))))))) = $false )
| ~ spl0_4 ),
inference(superposition,[],[f25,f4]) ).
thf(f8027,plain,
( ~ spl0_4
| ~ spl0_69
| ~ spl0_71
| ~ spl0_102
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116
| ~ spl0_138
| spl0_154
| spl0_164
| ~ spl0_166 ),
inference(avatar_contradiction_clause,[],[f8026]) ).
thf(f8026,plain,
( $false
| ~ spl0_4
| ~ spl0_69
| ~ spl0_71
| ~ spl0_102
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116
| ~ spl0_138
| spl0_154
| spl0_164
| ~ spl0_166 ),
inference(subsumption_resolution,[],[f8025,f7257]) ).
thf(f8025,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f3,$true)) )
| ~ spl0_4
| ~ spl0_69
| ~ spl0_71
| ~ spl0_102
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116
| ~ spl0_138
| spl0_154
| ~ spl0_166 ),
inference(forward_demodulation,[],[f8024,f4314]) ).
thf(f8024,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$false))) )
| ~ spl0_4
| ~ spl0_69
| ~ spl0_71
| ~ spl0_102
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116
| spl0_154
| ~ spl0_166 ),
inference(forward_demodulation,[],[f8023,f1056]) ).
thf(f8023,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))) )
| ~ spl0_4
| ~ spl0_102
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116
| spl0_154
| ~ spl0_166 ),
inference(forward_demodulation,[],[f8022,f2637]) ).
thf(f8022,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false)))))) )
| ~ spl0_4
| ~ spl0_102
| ~ spl0_111
| ~ spl0_116
| spl0_154
| ~ spl0_166 ),
inference(forward_demodulation,[],[f8021,f2661]) ).
thf(f8021,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true))))))) )
| ~ spl0_4
| ~ spl0_102
| ~ spl0_116
| spl0_154
| ~ spl0_166 ),
inference(forward_demodulation,[],[f8020,f3024]) ).
thf(f8020,plain,
( ( vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,x)))))))) = $false )
| ~ spl0_4
| ~ spl0_102
| spl0_154
| ~ spl0_166 ),
inference(subsumption_resolution,[],[f8019,f5829]) ).
thf(f8019,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ( vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,x)))))))) = $false )
| ~ spl0_4
| ~ spl0_102
| ~ spl0_166 ),
inference(forward_demodulation,[],[f8018,f7913]) ).
thf(f8018,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ( vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,x)))))))) = $false )
| ~ spl0_4
| ~ spl0_102 ),
inference(forward_demodulation,[],[f1591,f2237]) ).
thf(f1591,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))))) )
| ( vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,x)))))))) = $false )
| ~ spl0_4 ),
inference(superposition,[],[f25,f4]) ).
thf(f7914,plain,
( spl0_95
| spl0_166
| ~ spl0_4
| ~ spl0_69
| ~ spl0_71
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116
| ~ spl0_137
| ~ spl0_138 ),
inference(avatar_split_clause,[],[f7909,f4312,f4036,f3022,f2659,f2635,f894,f875,f23,f7911,f1748]) ).
thf(f7909,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,$false)) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ~ spl0_4
| ~ spl0_69
| ~ spl0_71
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116
| ~ spl0_137
| ~ spl0_138 ),
inference(forward_demodulation,[],[f7908,f7828]) ).
thf(f7828,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$true))) )
| ~ spl0_137
| ~ spl0_138 ),
inference(backward_demodulation,[],[f4038,f4314]) ).
thf(f7908,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$true))))) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ~ spl0_4
| ~ spl0_69
| ~ spl0_71
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116
| ~ spl0_138 ),
inference(forward_demodulation,[],[f7907,f4314]) ).
thf(f7907,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$false)))))) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ~ spl0_4
| ~ spl0_69
| ~ spl0_71
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116 ),
inference(forward_demodulation,[],[f7906,f1056]) ).
thf(f7906,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))))) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ~ spl0_4
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116 ),
inference(forward_demodulation,[],[f7905,f2637]) ).
thf(f7905,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false))))))))) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ~ spl0_4
| ~ spl0_111
| ~ spl0_116 ),
inference(forward_demodulation,[],[f7904,f2661]) ).
thf(f7904,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true)))))))))) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ~ spl0_4
| ~ spl0_116 ),
inference(forward_demodulation,[],[f1594,f3024]) ).
thf(f1594,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ( vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,x))))))))))) = $false )
| ~ spl0_4 ),
inference(superposition,[],[f25,f4]) ).
thf(f7638,plain,
( spl0_5
| spl0_165
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f1582,f23,f7635,f69]) ).
thf(f1582,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,$true))))))))))))) )
| ( x = $false )
| ~ spl0_4 ),
inference(superposition,[],[f25,f4]) ).
thf(f7607,plain,
( spl0_27
| ~ spl0_4
| spl0_95 ),
inference(avatar_split_clause,[],[f7606,f1748,f23,f168]) ).
thf(f7606,plain,
( ( vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,x))))))))))) = $false )
| ~ spl0_4
| spl0_95 ),
inference(subsumption_resolution,[],[f1594,f1749]) ).
thf(f7580,plain,
( spl0_56
| ~ spl0_95
| spl0_104 ),
inference(avatar_contradiction_clause,[],[f7579]) ).
thf(f7579,plain,
( $false
| spl0_56
| ~ spl0_95
| spl0_104 ),
inference(subsumption_resolution,[],[f7578,f2418]) ).
thf(f7578,plain,
( ( $false = vAPP($o,$o,f1,$true) )
| spl0_56
| ~ spl0_95 ),
inference(subsumption_resolution,[],[f7569,f485]) ).
thf(f7569,plain,
( ( $false = vAPP($o,$o,f0,$true) )
| ( $false = vAPP($o,$o,f1,$true) )
| ~ spl0_95 ),
inference(superposition,[],[f1750,f4]) ).
thf(f7462,plain,
( ~ spl0_154
| ~ spl0_75
| spl0_86
| ~ spl0_116
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f7268,f4316,f3022,f1001,f929,f5828]) ).
thf(f7268,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ~ spl0_75
| spl0_86
| ~ spl0_116
| ~ spl0_139 ),
inference(forward_demodulation,[],[f7267,f4317]) ).
thf(f7267,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$false)))) )
| ~ spl0_75
| spl0_86
| ~ spl0_116 ),
inference(forward_demodulation,[],[f5610,f4904]) ).
thf(f4904,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$true)))))))) )
| ~ spl0_75
| ~ spl0_116 ),
inference(forward_demodulation,[],[f931,f3024]) ).
thf(f5610,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$true)))))))))))) )
| spl0_86
| ~ spl0_116 ),
inference(forward_demodulation,[],[f1002,f3024]) ).
thf(f7301,plain,
( ~ spl0_157
| spl0_159 ),
inference(avatar_contradiction_clause,[],[f7300]) ).
thf(f7300,plain,
( $false
| ~ spl0_157
| spl0_159 ),
inference(subsumption_resolution,[],[f7299,f6228]) ).
thf(f7299,plain,
( ( $false != vAPP($o,$o,f3,$false) )
| ~ spl0_157
| spl0_159 ),
inference(forward_demodulation,[],[f7291,f6228]) ).
thf(f7291,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f3,$false)) )
| ~ spl0_157
| spl0_159 ),
inference(backward_demodulation,[],[f6241,f6228]) ).
thf(f6241,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$false))) )
| spl0_159 ),
inference(avatar_component_clause,[],[f6240]) ).
thf(f7298,plain,
( spl0_140
| ~ spl0_157 ),
inference(avatar_contradiction_clause,[],[f7297]) ).
thf(f7297,plain,
( $false
| spl0_140
| ~ spl0_157 ),
inference(subsumption_resolution,[],[f7290,f6228]) ).
thf(f7290,plain,
( ( $false != vAPP($o,$o,f3,$false) )
| spl0_140
| ~ spl0_157 ),
inference(backward_demodulation,[],[f4389,f6228]) ).
thf(f7253,plain,
( spl0_157
| spl0_138 ),
inference(avatar_split_clause,[],[f7226,f4312,f6226]) ).
thf(f7226,plain,
( ( $false = vAPP($o,$o,f3,$false) )
| spl0_138 ),
inference(trivial_inequality_removal,[],[f7225]) ).
thf(f7225,plain,
( ( $true != $true )
| ( $false = vAPP($o,$o,f3,$false) )
| spl0_138 ),
inference(superposition,[],[f4313,f4]) ).
thf(f4313,plain,
( ( $true != vAPP($o,$o,f3,$false) )
| spl0_138 ),
inference(avatar_component_clause,[],[f4312]) ).
thf(f7249,plain,
( ~ spl0_157
| spl0_17
| ~ spl0_69
| ~ spl0_71
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f7248,f3022,f2659,f2635,f894,f875,f123,f6226]) ).
thf(f7248,plain,
( ( $false != vAPP($o,$o,f3,$false) )
| spl0_17
| ~ spl0_69
| ~ spl0_71
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116 ),
inference(forward_demodulation,[],[f7244,f1056]) ).
thf(f7244,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,$false)) )
| spl0_17
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116 ),
inference(backward_demodulation,[],[f6727,f2637]) ).
thf(f6727,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false)))) )
| spl0_17
| ~ spl0_111
| ~ spl0_116 ),
inference(forward_demodulation,[],[f6726,f2661]) ).
thf(f6726,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true))))) )
| spl0_17
| ~ spl0_116 ),
inference(forward_demodulation,[],[f124,f3024]) ).
thf(f7163,plain,
( spl0_140
| spl0_157
| ~ spl0_159 ),
inference(avatar_contradiction_clause,[],[f7162]) ).
thf(f7162,plain,
( $false
| spl0_140
| spl0_157
| ~ spl0_159 ),
inference(subsumption_resolution,[],[f7161,f4389]) ).
thf(f7161,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f3,$false)) )
| spl0_157
| ~ spl0_159 ),
inference(subsumption_resolution,[],[f7155,f6227]) ).
thf(f7155,plain,
( ( $false = vAPP($o,$o,f3,$false) )
| ( $false = vAPP($o,$o,f3,vAPP($o,$o,f3,$false)) )
| ~ spl0_159 ),
inference(duplicate_literal_removal,[],[f7154]) ).
thf(f7154,plain,
( ( $false = vAPP($o,$o,f3,$false) )
| ( $false = vAPP($o,$o,f3,$false) )
| ( $false = vAPP($o,$o,f3,vAPP($o,$o,f3,$false)) )
| ~ spl0_159 ),
inference(binary_proxy_clausification,[],[f7145]) ).
thf(f7145,plain,
( ( $false = vAPP($o,$o,f3,$false) )
| ( vAPP($o,$o,f3,$false) != vAPP($o,$o,f3,vAPP($o,$o,f3,$false)) )
| ~ spl0_159 ),
inference(constrained_superposition,[],[f6242,f6242]) ).
thf(f7005,plain,
( spl0_114
| spl0_7
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f6847,f834,f78,f2853]) ).
thf(f6847,plain,
( ( $false = vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$true))) )
| spl0_7
| ~ spl0_65 ),
inference(subsumption_resolution,[],[f2920,f79]) ).
thf(f2920,plain,
( ( $false = vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$true))) )
| ( vAPP($o,$o,f6,x) = $false )
| ~ spl0_65 ),
inference(superposition,[],[f836,f4]) ).
thf(f6910,plain,
( ~ spl0_33
| ~ spl0_63
| ~ spl0_105
| spl0_113
| ~ spl0_116 ),
inference(avatar_contradiction_clause,[],[f6909]) ).
thf(f6909,plain,
( $false
| ~ spl0_33
| ~ spl0_63
| ~ spl0_105
| spl0_113
| ~ spl0_116 ),
inference(subsumption_resolution,[],[f6908,f2850]) ).
thf(f2850,plain,
( ( $false != vAPP($o,$o,f6,$false) )
| spl0_113 ),
inference(avatar_component_clause,[],[f2849]) ).
thf(f6908,plain,
( ( $false = vAPP($o,$o,f6,$false) )
| ~ spl0_33
| ~ spl0_63
| ~ spl0_105
| ~ spl0_116 ),
inference(forward_demodulation,[],[f6907,f6784]) ).
thf(f6784,plain,
( ( $false = vAPP($o,$o,f6,$true) )
| ~ spl0_63
| ~ spl0_116 ),
inference(forward_demodulation,[],[f826,f3024]) ).
thf(f826,plain,
( ( vAPP($o,$o,f6,vAPP($o,$o,f6,x)) = $false )
| ~ spl0_63 ),
inference(avatar_component_clause,[],[f824]) ).
thf(f6907,plain,
( ( $false = vAPP($o,$o,f6,vAPP($o,$o,f6,$true)) )
| ~ spl0_33
| ~ spl0_105 ),
inference(forward_demodulation,[],[f338,f2568]) ).
thf(f338,plain,
( ( $false = vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,$false))) )
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f336]) ).
thf(f336,plain,
( spl0_33
<=> ( $false = vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,$false))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
thf(f6844,plain,
( ~ spl0_63
| ~ spl0_64
| spl0_113
| ~ spl0_116 ),
inference(avatar_contradiction_clause,[],[f6843]) ).
thf(f6843,plain,
( $false
| ~ spl0_63
| ~ spl0_64
| spl0_113
| ~ spl0_116 ),
inference(subsumption_resolution,[],[f6842,f2850]) ).
thf(f6842,plain,
( ( $false = vAPP($o,$o,f6,$false) )
| ~ spl0_63
| ~ spl0_64
| ~ spl0_116 ),
inference(forward_demodulation,[],[f6594,f6784]) ).
thf(f6594,plain,
( ( $false = vAPP($o,$o,f6,vAPP($o,$o,f6,$true)) )
| ~ spl0_64
| ~ spl0_116 ),
inference(forward_demodulation,[],[f831,f3024]) ).
thf(f831,plain,
( ( vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x))) = $false )
| ~ spl0_64 ),
inference(avatar_component_clause,[],[f829]) ).
thf(f829,plain,
( spl0_64
<=> ( vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x))) = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
thf(f6731,plain,
( ~ spl0_157
| spl0_17
| ~ spl0_69
| ~ spl0_71
| ~ spl0_89
| ~ spl0_111
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f6730,f3022,f2659,f1410,f894,f875,f123,f6226]) ).
thf(f6730,plain,
( ( $false != vAPP($o,$o,f3,$false) )
| spl0_17
| ~ spl0_69
| ~ spl0_71
| ~ spl0_89
| ~ spl0_111
| ~ spl0_116 ),
inference(forward_demodulation,[],[f6729,f1056]) ).
thf(f6729,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,$false)) )
| spl0_17
| ~ spl0_89
| ~ spl0_111
| ~ spl0_116 ),
inference(forward_demodulation,[],[f6728,f1412]) ).
thf(f6728,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$false))) )
| spl0_17
| ~ spl0_89
| ~ spl0_111
| ~ spl0_116 ),
inference(forward_demodulation,[],[f6727,f1412]) ).
thf(f6565,plain,
( spl0_17
| spl0_156
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f1589,f23,f6222,f123]) ).
thf(f1589,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$true))))))) )
| ( vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,x)))))) = $false )
| ~ spl0_4 ),
inference(superposition,[],[f25,f4]) ).
thf(f6554,plain,
( spl0_157
| ~ spl0_7
| ~ spl0_17
| ~ spl0_69
| ~ spl0_71
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f6553,f1410,f894,f875,f123,f78,f6226]) ).
thf(f6553,plain,
( ( $false = vAPP($o,$o,f3,$false) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_69
| ~ spl0_71
| ~ spl0_89 ),
inference(forward_demodulation,[],[f6552,f1056]) ).
thf(f6552,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,$false)) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_89 ),
inference(forward_demodulation,[],[f6551,f1412]) ).
thf(f6551,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$false))) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_89 ),
inference(forward_demodulation,[],[f6550,f1412]) ).
thf(f6550,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false)))) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_89 ),
inference(forward_demodulation,[],[f6549,f1412]) ).
thf(f6549,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$false))))) )
| ~ spl0_7
| ~ spl0_17 ),
inference(forward_demodulation,[],[f125,f80]) ).
thf(f6543,plain,
( spl0_157
| ~ spl0_7
| ~ spl0_21
| ~ spl0_69
| ~ spl0_71
| ~ spl0_89
| ~ spl0_140 ),
inference(avatar_split_clause,[],[f6542,f4388,f1410,f894,f875,f141,f78,f6226]) ).
thf(f6542,plain,
( ( $false = vAPP($o,$o,f3,$false) )
| ~ spl0_7
| ~ spl0_21
| ~ spl0_69
| ~ spl0_71
| ~ spl0_89
| ~ spl0_140 ),
inference(forward_demodulation,[],[f6541,f4390]) ).
thf(f6541,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$false))) )
| ~ spl0_7
| ~ spl0_21
| ~ spl0_69
| ~ spl0_71
| ~ spl0_89 ),
inference(forward_demodulation,[],[f6540,f1056]) ).
thf(f6540,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))) )
| ~ spl0_7
| ~ spl0_21
| ~ spl0_89 ),
inference(forward_demodulation,[],[f6539,f1412]) ).
thf(f6539,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$false))))) )
| ~ spl0_7
| ~ spl0_21
| ~ spl0_89 ),
inference(forward_demodulation,[],[f6538,f1412]) ).
thf(f6538,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false)))))) )
| ~ spl0_7
| ~ spl0_21
| ~ spl0_89 ),
inference(forward_demodulation,[],[f6537,f1412]) ).
thf(f6537,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$false))))))) )
| ~ spl0_7
| ~ spl0_21 ),
inference(forward_demodulation,[],[f143,f80]) ).
thf(f6517,plain,
( ~ spl0_7
| ~ spl0_29
| ~ spl0_69
| ~ spl0_71
| ~ spl0_89
| ~ spl0_99
| ~ spl0_101
| spl0_103
| ~ spl0_104
| ~ spl0_140 ),
inference(avatar_contradiction_clause,[],[f6516]) ).
thf(f6516,plain,
( $false
| ~ spl0_7
| ~ spl0_29
| ~ spl0_69
| ~ spl0_71
| ~ spl0_89
| ~ spl0_99
| ~ spl0_101
| spl0_103
| ~ spl0_104
| ~ spl0_140 ),
inference(subsumption_resolution,[],[f6515,f2414]) ).
thf(f6515,plain,
( ( $false = vAPP($o,$o,f1,$false) )
| ~ spl0_7
| ~ spl0_29
| ~ spl0_69
| ~ spl0_71
| ~ spl0_89
| ~ spl0_99
| ~ spl0_101
| ~ spl0_104
| ~ spl0_140 ),
inference(forward_demodulation,[],[f6514,f2419]) ).
thf(f6514,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) )
| ~ spl0_7
| ~ spl0_29
| ~ spl0_69
| ~ spl0_71
| ~ spl0_89
| ~ spl0_99
| ~ spl0_101
| ~ spl0_140 ),
inference(forward_demodulation,[],[f6513,f2165]) ).
thf(f6513,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false))) )
| ~ spl0_7
| ~ spl0_29
| ~ spl0_69
| ~ spl0_71
| ~ spl0_89
| ~ spl0_101
| ~ spl0_140 ),
inference(forward_demodulation,[],[f6512,f2233]) ).
thf(f6512,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$false))))) )
| ~ spl0_7
| ~ spl0_29
| ~ spl0_69
| ~ spl0_71
| ~ spl0_89
| ~ spl0_140 ),
inference(forward_demodulation,[],[f6511,f4390]) ).
thf(f6511,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$false))))))) )
| ~ spl0_7
| ~ spl0_29
| ~ spl0_69
| ~ spl0_71
| ~ spl0_89 ),
inference(forward_demodulation,[],[f6510,f1056]) ).
thf(f6510,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))))))) )
| ~ spl0_7
| ~ spl0_29
| ~ spl0_89 ),
inference(forward_demodulation,[],[f6509,f1412]) ).
thf(f6509,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$false))))))))) )
| ~ spl0_7
| ~ spl0_29
| ~ spl0_89 ),
inference(forward_demodulation,[],[f6508,f1412]) ).
thf(f6508,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false)))))))))) )
| ~ spl0_7
| ~ spl0_29
| ~ spl0_89 ),
inference(forward_demodulation,[],[f6507,f1412]) ).
thf(f6507,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$false))))))))))) )
| ~ spl0_7
| ~ spl0_29 ),
inference(forward_demodulation,[],[f179,f80]) ).
thf(f6450,plain,
( ~ spl0_93
| ~ spl0_94 ),
inference(avatar_contradiction_clause,[],[f6449]) ).
thf(f6449,plain,
( $false
| ~ spl0_93
| ~ spl0_94 ),
inference(trivial_inequality_removal,[],[f6448]) ).
thf(f6448,plain,
( ( $true = $false )
| ~ spl0_93
| ~ spl0_94 ),
inference(backward_demodulation,[],[f1676,f1670]) ).
thf(f6377,plain,
( ~ spl0_101
| spl0_137
| ~ spl0_140 ),
inference(avatar_contradiction_clause,[],[f6376]) ).
thf(f6376,plain,
( $false
| ~ spl0_101
| spl0_137
| ~ spl0_140 ),
inference(subsumption_resolution,[],[f6374,f2233]) ).
thf(f6374,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f3,$false)) )
| spl0_137
| ~ spl0_140 ),
inference(backward_demodulation,[],[f4037,f4390]) ).
thf(f6346,plain,
( spl0_131
| ~ spl0_69
| ~ spl0_71
| ~ spl0_91
| ~ spl0_107
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f4782,f2659,f2635,f1658,f894,f875,f3263]) ).
thf(f4782,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$false)))))))) )
| ~ spl0_69
| ~ spl0_71
| ~ spl0_91
| ~ spl0_107
| ~ spl0_111 ),
inference(forward_demodulation,[],[f4781,f1056]) ).
thf(f4781,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))))))) )
| ~ spl0_91
| ~ spl0_107
| ~ spl0_111 ),
inference(forward_demodulation,[],[f4780,f2637]) ).
thf(f4780,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false))))))))))) )
| ~ spl0_91
| ~ spl0_111 ),
inference(forward_demodulation,[],[f1660,f2661]) ).
thf(f6317,plain,
( spl0_56
| ~ spl0_53
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f6316,f739,f469,f484]) ).
thf(f6316,plain,
( ( $false = vAPP($o,$o,f0,$true) )
| ~ spl0_53
| ~ spl0_62 ),
inference(backward_demodulation,[],[f471,f741]) ).
thf(f6215,plain,
( ~ spl0_7
| ~ spl0_116 ),
inference(avatar_contradiction_clause,[],[f6214]) ).
thf(f6214,plain,
( $false
| ~ spl0_7
| ~ spl0_116 ),
inference(trivial_inequality_removal,[],[f6213]) ).
thf(f6213,plain,
( ( $true = $false )
| ~ spl0_7
| ~ spl0_116 ),
inference(forward_demodulation,[],[f3024,f80]) ).
thf(f6200,plain,
( ~ spl0_5
| ~ spl0_7
| spl0_113 ),
inference(avatar_contradiction_clause,[],[f6199]) ).
thf(f6199,plain,
( $false
| ~ spl0_5
| ~ spl0_7
| spl0_113 ),
inference(subsumption_resolution,[],[f6198,f2850]) ).
thf(f6198,plain,
( ( $false = vAPP($o,$o,f6,$false) )
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f80,f71]) ).
thf(f5845,plain,
( ~ spl0_50
| ~ spl0_52
| spl0_103 ),
inference(avatar_contradiction_clause,[],[f5844]) ).
thf(f5844,plain,
( $false
| ~ spl0_50
| ~ spl0_52
| spl0_103 ),
inference(subsumption_resolution,[],[f5843,f2414]) ).
thf(f5843,plain,
( ( $false = vAPP($o,$o,f1,$false) )
| ~ spl0_50
| ~ spl0_52 ),
inference(backward_demodulation,[],[f467,f456]) ).
thf(f467,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,$false)))))))))))) )
| ~ spl0_52 ),
inference(avatar_component_clause,[],[f465]) ).
thf(f465,plain,
( spl0_52
<=> ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,$false)))))))))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
thf(f5635,plain,
( spl0_3
| ~ spl0_53
| ~ spl0_56
| ~ spl0_84 ),
inference(avatar_contradiction_clause,[],[f5634]) ).
thf(f5634,plain,
( $false
| spl0_3
| ~ spl0_53
| ~ spl0_56
| ~ spl0_84 ),
inference(subsumption_resolution,[],[f5633,f5504]) ).
thf(f5504,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,$false)) )
| spl0_3
| ~ spl0_56
| ~ spl0_84 ),
inference(forward_demodulation,[],[f5503,f486]) ).
thf(f5503,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| spl0_3
| ~ spl0_84 ),
inference(forward_demodulation,[],[f20,f993]) ).
thf(f5633,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,$false)) )
| ~ spl0_53
| ~ spl0_56 ),
inference(forward_demodulation,[],[f471,f486]) ).
thf(f5632,plain,
( spl0_94
| ~ spl0_56
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f5631,f739,f484,f1674]) ).
thf(f5631,plain,
( ( $true = vAPP($o,$o,f0,$false) )
| ~ spl0_56
| ~ spl0_62 ),
inference(forward_demodulation,[],[f741,f486]) ).
thf(f5620,plain,
( ~ spl0_1
| ~ spl0_56
| spl0_82
| ~ spl0_84 ),
inference(avatar_contradiction_clause,[],[f5619]) ).
thf(f5619,plain,
( $false
| ~ spl0_1
| ~ spl0_56
| spl0_82
| ~ spl0_84 ),
inference(subsumption_resolution,[],[f5618,f5506]) ).
thf(f5506,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,$false)) )
| ~ spl0_1
| ~ spl0_56
| ~ spl0_84 ),
inference(forward_demodulation,[],[f5505,f486]) ).
thf(f5505,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ~ spl0_1
| ~ spl0_84 ),
inference(forward_demodulation,[],[f12,f993]) ).
thf(f5618,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,$false)) )
| ~ spl0_56
| spl0_82 ),
inference(forward_demodulation,[],[f979,f486]) ).
thf(f979,plain,
( ( $true != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| spl0_82 ),
inference(avatar_component_clause,[],[f978]) ).
thf(f5606,plain,
( ~ spl0_121
| spl0_126 ),
inference(avatar_contradiction_clause,[],[f5605]) ).
thf(f5605,plain,
( $false
| ~ spl0_121
| spl0_126 ),
inference(subsumption_resolution,[],[f5599,f3086]) ).
thf(f5599,plain,
( ( $true != vAPP($o,$o,f6,$true) )
| ~ spl0_121
| spl0_126 ),
inference(backward_demodulation,[],[f3127,f3086]) ).
thf(f5580,plain,
( spl0_93
| ~ spl0_50
| ~ spl0_58
| ~ spl0_103 ),
inference(avatar_split_clause,[],[f5579,f2413,f495,f454,f1668]) ).
thf(f5579,plain,
( ( $false = vAPP($o,$o,f0,$false) )
| ~ spl0_50
| ~ spl0_58
| ~ spl0_103 ),
inference(forward_demodulation,[],[f5578,f2415]) ).
thf(f5578,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ~ spl0_50
| ~ spl0_58 ),
inference(forward_demodulation,[],[f497,f456]) ).
thf(f5564,plain,
( spl0_93
| ~ spl0_37
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f5493,f484,f362,f1668]) ).
thf(f5493,plain,
( ( $false = vAPP($o,$o,f0,$false) )
| ~ spl0_37
| ~ spl0_56 ),
inference(forward_demodulation,[],[f364,f486]) ).
thf(f5510,plain,
( ~ spl0_79
| ~ spl0_84
| ~ spl0_103 ),
inference(avatar_contradiction_clause,[],[f5509]) ).
thf(f5509,plain,
( $false
| ~ spl0_79
| ~ spl0_84
| ~ spl0_103 ),
inference(trivial_inequality_removal,[],[f5508]) ).
thf(f5508,plain,
( ( $true = $false )
| ~ spl0_79
| ~ spl0_84
| ~ spl0_103 ),
inference(forward_demodulation,[],[f5507,f2415]) ).
thf(f5507,plain,
( ( $true = vAPP($o,$o,f1,$false) )
| ~ spl0_79
| ~ spl0_84 ),
inference(backward_demodulation,[],[f993,f962]) ).
thf(f5500,plain,
( ~ spl0_56
| ~ spl0_84
| ~ spl0_87 ),
inference(avatar_contradiction_clause,[],[f5499]) ).
thf(f5499,plain,
( $false
| ~ spl0_56
| ~ spl0_84
| ~ spl0_87 ),
inference(trivial_inequality_removal,[],[f5498]) ).
thf(f5498,plain,
( ( $true = $false )
| ~ spl0_56
| ~ spl0_84
| ~ spl0_87 ),
inference(forward_demodulation,[],[f5497,f486]) ).
thf(f5497,plain,
( ( $true = vAPP($o,$o,f0,$true) )
| ~ spl0_84
| ~ spl0_87 ),
inference(forward_demodulation,[],[f1011,f993]) ).
thf(f5367,plain,
( ~ spl0_56
| ~ spl0_82
| ~ spl0_93 ),
inference(avatar_contradiction_clause,[],[f5366]) ).
thf(f5366,plain,
( $false
| ~ spl0_56
| ~ spl0_82
| ~ spl0_93 ),
inference(trivial_inequality_removal,[],[f5365]) ).
thf(f5365,plain,
( ( $true = $false )
| ~ spl0_56
| ~ spl0_82
| ~ spl0_93 ),
inference(forward_demodulation,[],[f5364,f1670]) ).
thf(f5364,plain,
( ( $true = vAPP($o,$o,f0,$false) )
| ~ spl0_56
| ~ spl0_82
| ~ spl0_93 ),
inference(forward_demodulation,[],[f5363,f1670]) ).
thf(f5363,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,$false)) )
| ~ spl0_56
| ~ spl0_82 ),
inference(forward_demodulation,[],[f980,f486]) ).
thf(f5355,plain,
( ~ spl0_56
| ~ spl0_62
| ~ spl0_93 ),
inference(avatar_contradiction_clause,[],[f5354]) ).
thf(f5354,plain,
( $false
| ~ spl0_56
| ~ spl0_62
| ~ spl0_93 ),
inference(trivial_inequality_removal,[],[f5353]) ).
thf(f5353,plain,
( ( $true = $false )
| ~ spl0_56
| ~ spl0_62
| ~ spl0_93 ),
inference(forward_demodulation,[],[f5350,f1670]) ).
thf(f5350,plain,
( ( $true = vAPP($o,$o,f0,$false) )
| ~ spl0_56
| ~ spl0_62 ),
inference(backward_demodulation,[],[f741,f486]) ).
thf(f5245,plain,
( ~ spl0_113
| ~ spl0_5
| spl0_7 ),
inference(avatar_split_clause,[],[f5098,f78,f69,f2849]) ).
thf(f5098,plain,
( ( $false != vAPP($o,$o,f6,$false) )
| ~ spl0_5
| spl0_7 ),
inference(backward_demodulation,[],[f79,f71]) ).
thf(f5244,plain,
( spl0_105
| ~ spl0_5
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f5099,f3022,f69,f2566]) ).
thf(f5099,plain,
( ( $true = vAPP($o,$o,f6,$false) )
| ~ spl0_5
| ~ spl0_116 ),
inference(backward_demodulation,[],[f3024,f71]) ).
thf(f5227,plain,
( ~ spl0_65
| ~ spl0_69
| ~ spl0_71
| spl0_81
| ~ spl0_101
| ~ spl0_103
| ~ spl0_145 ),
inference(avatar_contradiction_clause,[],[f5226]) ).
thf(f5226,plain,
( $false
| ~ spl0_65
| ~ spl0_69
| ~ spl0_71
| spl0_81
| ~ spl0_101
| ~ spl0_103
| ~ spl0_145 ),
inference(subsumption_resolution,[],[f5225,f2415]) ).
thf(f5225,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| ~ spl0_65
| ~ spl0_69
| ~ spl0_71
| spl0_81
| ~ spl0_101
| ~ spl0_145 ),
inference(forward_demodulation,[],[f5213,f5210]) ).
thf(f5210,plain,
( ( $false = vAPP($o,$o,f2,$false) )
| ~ spl0_101
| ~ spl0_145 ),
inference(backward_demodulation,[],[f4614,f2233]) ).
thf(f5213,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,$false)) )
| ~ spl0_65
| ~ spl0_69
| ~ spl0_71
| spl0_81
| ~ spl0_101
| ~ spl0_145 ),
inference(backward_demodulation,[],[f4823,f5210]) ).
thf(f4823,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$false))) )
| ~ spl0_65
| ~ spl0_69
| ~ spl0_71
| spl0_81
| ~ spl0_101 ),
inference(backward_demodulation,[],[f2741,f2233]) ).
thf(f2741,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$false))))) )
| ~ spl0_65
| ~ spl0_69
| ~ spl0_71
| spl0_81 ),
inference(forward_demodulation,[],[f2740,f1056]) ).
thf(f2740,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))))) )
| ~ spl0_65
| ~ spl0_69
| ~ spl0_71
| spl0_81 ),
inference(forward_demodulation,[],[f2739,f1056]) ).
thf(f2739,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$false))))))) )
| ~ spl0_65
| ~ spl0_69
| ~ spl0_71
| spl0_81 ),
inference(forward_demodulation,[],[f2726,f1056]) ).
thf(f2726,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$false)))))))) )
| ~ spl0_65
| spl0_81 ),
inference(backward_demodulation,[],[f975,f836]) ).
thf(f5217,plain,
( ~ spl0_101
| spl0_139
| ~ spl0_145 ),
inference(avatar_contradiction_clause,[],[f5216]) ).
thf(f5216,plain,
( $false
| ~ spl0_101
| spl0_139
| ~ spl0_145 ),
inference(subsumption_resolution,[],[f5211,f5210]) ).
thf(f5211,plain,
( ( $false != vAPP($o,$o,f2,$false) )
| ~ spl0_101
| spl0_139
| ~ spl0_145 ),
inference(backward_demodulation,[],[f4318,f5210]) ).
thf(f5201,plain,
( ~ spl0_56
| spl0_95
| spl0_104 ),
inference(avatar_split_clause,[],[f5200,f2417,f1748,f484]) ).
thf(f5200,plain,
( ( $false != vAPP($o,$o,f0,$true) )
| spl0_95
| spl0_104 ),
inference(subsumption_resolution,[],[f2492,f2418]) ).
thf(f2492,plain,
( ( $false != vAPP($o,$o,f0,$true) )
| ( $false = vAPP($o,$o,f1,$true) )
| spl0_95 ),
inference(superposition,[],[f1749,f4]) ).
thf(f5197,plain,
( ~ spl0_56
| spl0_3
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f2721,f987,f19,f484]) ).
thf(f2721,plain,
( ( $false != vAPP($o,$o,f0,$true) )
| spl0_3
| ~ spl0_83 ),
inference(forward_demodulation,[],[f20,f989]) ).
thf(f5150,plain,
( spl0_30
| ~ spl0_1
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f2722,f987,f10,f181]) ).
thf(f2722,plain,
( ( $true = vAPP($o,$o,f0,$true) )
| ~ spl0_1
| ~ spl0_83 ),
inference(forward_demodulation,[],[f12,f989]) ).
thf(f5149,plain,
( ~ spl0_53
| spl0_51
| spl0_104 ),
inference(avatar_split_clause,[],[f2891,f2417,f458,f469]) ).
thf(f2891,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| spl0_51
| spl0_104 ),
inference(subsumption_resolution,[],[f2877,f2418]) ).
thf(f2877,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( $false = vAPP($o,$o,f1,$true) )
| spl0_51 ),
inference(superposition,[],[f459,f4]) ).
thf(f459,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| spl0_51 ),
inference(avatar_component_clause,[],[f458]) ).
thf(f5141,plain,
( spl0_82
| ~ spl0_80
| spl0_104 ),
inference(avatar_split_clause,[],[f3840,f2417,f964,f978]) ).
thf(f3840,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ~ spl0_80
| spl0_104 ),
inference(subsumption_resolution,[],[f3803,f2418]) ).
thf(f3803,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( $false = vAPP($o,$o,f1,$true) )
| ~ spl0_80 ),
inference(superposition,[],[f966,f4]) ).
thf(f5077,plain,
( spl0_17
| ~ spl0_69
| ~ spl0_71
| ~ spl0_73
| ~ spl0_107
| ~ spl0_111
| ~ spl0_114
| ~ spl0_116 ),
inference(avatar_contradiction_clause,[],[f5076]) ).
thf(f5076,plain,
( $false
| spl0_17
| ~ spl0_69
| ~ spl0_71
| ~ spl0_73
| ~ spl0_107
| ~ spl0_111
| ~ spl0_114
| ~ spl0_116 ),
inference(subsumption_resolution,[],[f4776,f4978]) ).
thf(f4978,plain,
( ( $false = vAPP($o,$o,f3,$false) )
| ~ spl0_69
| ~ spl0_71
| ~ spl0_73
| ~ spl0_114
| ~ spl0_116 ),
inference(forward_demodulation,[],[f4977,f1056]) ).
thf(f4977,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,$false)) )
| ~ spl0_69
| ~ spl0_71
| ~ spl0_73
| ~ spl0_114
| ~ spl0_116 ),
inference(forward_demodulation,[],[f4976,f1056]) ).
thf(f4976,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$false))) )
| ~ spl0_69
| ~ spl0_71
| ~ spl0_73
| ~ spl0_114
| ~ spl0_116 ),
inference(forward_demodulation,[],[f4975,f1056]) ).
thf(f4975,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$false)))) )
| ~ spl0_73
| ~ spl0_114
| ~ spl0_116 ),
inference(backward_demodulation,[],[f4840,f2854]) ).
thf(f4840,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$true))))))) )
| ~ spl0_73
| ~ spl0_116 ),
inference(forward_demodulation,[],[f914,f3024]) ).
thf(f4776,plain,
( ( $false != vAPP($o,$o,f3,$false) )
| spl0_17
| ~ spl0_69
| ~ spl0_71
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116 ),
inference(forward_demodulation,[],[f4774,f1056]) ).
thf(f4774,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,$false)) )
| spl0_17
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116 ),
inference(backward_demodulation,[],[f4436,f2637]) ).
thf(f4436,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false)))) )
| spl0_17
| ~ spl0_111
| ~ spl0_116 ),
inference(forward_demodulation,[],[f4435,f2661]) ).
thf(f4435,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true))))) )
| spl0_17
| ~ spl0_116 ),
inference(forward_demodulation,[],[f124,f3024]) ).
thf(f5045,plain,
( ~ spl0_73
| ~ spl0_75
| ~ spl0_116
| spl0_139 ),
inference(avatar_contradiction_clause,[],[f5044]) ).
thf(f5044,plain,
( $false
| ~ spl0_73
| ~ spl0_75
| ~ spl0_116
| spl0_139 ),
inference(subsumption_resolution,[],[f5043,f4969]) ).
thf(f4969,plain,
( ( $false = vAPP($o,$o,f2,$false) )
| ~ spl0_73
| ~ spl0_75
| ~ spl0_116 ),
inference(backward_demodulation,[],[f4904,f4840]) ).
thf(f5043,plain,
( ( $false != vAPP($o,$o,f2,$false) )
| ~ spl0_73
| ~ spl0_75
| ~ spl0_116
| spl0_139 ),
inference(forward_demodulation,[],[f4318,f4969]) ).
thf(f5038,plain,
( spl0_139
| ~ spl0_73
| ~ spl0_77
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f4970,f3022,f945,f912,f4316]) ).
thf(f4970,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,$false)) )
| ~ spl0_73
| ~ spl0_77
| ~ spl0_116 ),
inference(forward_demodulation,[],[f4830,f4840]) ).
thf(f4830,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$true))))))))) )
| ~ spl0_77
| ~ spl0_116 ),
inference(forward_demodulation,[],[f947,f3024]) ).
thf(f4892,plain,
( spl0_17
| ~ spl0_69
| ~ spl0_71
| ~ spl0_73
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121 ),
inference(avatar_contradiction_clause,[],[f4891]) ).
thf(f4891,plain,
( $false
| spl0_17
| ~ spl0_69
| ~ spl0_71
| ~ spl0_73
| ~ spl0_107
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121 ),
inference(subsumption_resolution,[],[f4776,f4846]) ).
thf(f4846,plain,
( ( $false = vAPP($o,$o,f3,$false) )
| ~ spl0_69
| ~ spl0_71
| ~ spl0_73
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121 ),
inference(forward_demodulation,[],[f4845,f1056]) ).
thf(f4845,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,$false)) )
| ~ spl0_69
| ~ spl0_71
| ~ spl0_73
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121 ),
inference(forward_demodulation,[],[f4844,f1056]) ).
thf(f4844,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$false))) )
| ~ spl0_69
| ~ spl0_71
| ~ spl0_73
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121 ),
inference(forward_demodulation,[],[f4843,f1056]) ).
thf(f4843,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$false)))) )
| ~ spl0_73
| ~ spl0_111
| ~ spl0_116
| ~ spl0_121 ),
inference(forward_demodulation,[],[f4842,f2661]) ).
thf(f4842,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,$true))))) )
| ~ spl0_73
| ~ spl0_116
| ~ spl0_121 ),
inference(forward_demodulation,[],[f4841,f3086]) ).
thf(f4841,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,$true)))))) )
| ~ spl0_73
| ~ spl0_116
| ~ spl0_121 ),
inference(forward_demodulation,[],[f4840,f3086]) ).
thf(f4768,plain,
( spl0_103
| ~ spl0_27
| ~ spl0_29
| ~ spl0_111
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f4767,f3022,f2659,f177,f168,f2413]) ).
thf(f4767,plain,
( ( $false = vAPP($o,$o,f1,$false) )
| ~ spl0_27
| ~ spl0_29
| ~ spl0_111
| ~ spl0_116 ),
inference(forward_demodulation,[],[f4660,f4677]) ).
thf(f4677,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false))))))))) )
| ~ spl0_27
| ~ spl0_111
| ~ spl0_116 ),
inference(forward_demodulation,[],[f4676,f2661]) ).
thf(f4676,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true)))))))))) )
| ~ spl0_27
| ~ spl0_116 ),
inference(forward_demodulation,[],[f170,f3024]) ).
thf(f4660,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false)))))))))) )
| ~ spl0_29
| ~ spl0_111
| ~ spl0_116 ),
inference(forward_demodulation,[],[f4659,f2661]) ).
thf(f4659,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true))))))))))) )
| ~ spl0_29
| ~ spl0_116 ),
inference(forward_demodulation,[],[f179,f3024]) ).
thf(f4615,plain,
( spl0_145
| ~ spl0_102
| ~ spl0_65
| ~ spl0_69
| ~ spl0_71
| spl0_79 ),
inference(avatar_split_clause,[],[f4250,f960,f894,f875,f834,f2235,f4612]) ).
thf(f4250,plain,
( ( $false != vAPP($o,$o,f2,$true) )
| ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$false))) )
| ~ spl0_65
| ~ spl0_69
| ~ spl0_71
| spl0_79 ),
inference(superposition,[],[f2738,f4]) ).
thf(f2738,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$false)))) )
| ~ spl0_65
| ~ spl0_69
| ~ spl0_71
| spl0_79 ),
inference(forward_demodulation,[],[f2737,f1056]) ).
thf(f2737,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))) )
| ~ spl0_65
| ~ spl0_69
| ~ spl0_71
| spl0_79 ),
inference(forward_demodulation,[],[f2736,f1056]) ).
thf(f2736,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$false)))))) )
| ~ spl0_65
| ~ spl0_69
| ~ spl0_71
| spl0_79 ),
inference(forward_demodulation,[],[f2725,f1056]) ).
thf(f2725,plain,
( ( $false != vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$false))))))) )
| ~ spl0_65
| spl0_79 ),
inference(backward_demodulation,[],[f961,f836]) ).
thf(f4610,plain,
( spl0_103
| ~ spl0_25
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f2718,f168,f159,f2413]) ).
thf(f2718,plain,
( ( $false = vAPP($o,$o,f1,$false) )
| ~ spl0_25
| ~ spl0_27 ),
inference(backward_demodulation,[],[f170,f161]) ).
thf(f4609,plain,
( spl0_103
| ~ spl0_4
| ~ spl0_25
| spl0_95 ),
inference(avatar_split_clause,[],[f2720,f1748,f159,f23,f2413]) ).
thf(f2720,plain,
( ( $false = vAPP($o,$o,f1,$false) )
| ~ spl0_4
| ~ spl0_25
| spl0_95 ),
inference(forward_demodulation,[],[f2719,f161]) ).
thf(f2719,plain,
( ( vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,x))))))))))) = $false )
| ~ spl0_4
| spl0_95 ),
inference(subsumption_resolution,[],[f1594,f1749]) ).
thf(f4578,plain,
( spl0_143
| ~ spl0_138
| ~ spl0_140 ),
inference(avatar_split_clause,[],[f4577,f4388,f4312,f4459]) ).
thf(f4577,plain,
( ( $false = vAPP($o,$o,f3,$true) )
| ~ spl0_138
| ~ spl0_140 ),
inference(forward_demodulation,[],[f4390,f4314]) ).
thf(f4576,plain,
( ~ spl0_102
| spl0_17
| ~ spl0_69
| ~ spl0_71
| spl0_101
| ~ spl0_110
| ~ spl0_111
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f4575,f3022,f2659,f2651,f2231,f894,f875,f123,f2235]) ).
thf(f4575,plain,
( ( $false != vAPP($o,$o,f2,$true) )
| spl0_17
| ~ spl0_69
| ~ spl0_71
| spl0_101
| ~ spl0_110
| ~ spl0_111
| ~ spl0_116 ),
inference(subsumption_resolution,[],[f2505,f4439]) ).
thf(f4439,plain,
( ( $false != vAPP($o,$o,f3,$false) )
| spl0_17
| ~ spl0_69
| ~ spl0_71
| ~ spl0_110
| ~ spl0_111
| ~ spl0_116 ),
inference(forward_demodulation,[],[f4438,f1056]) ).
thf(f4438,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,$false)) )
| spl0_17
| ~ spl0_110
| ~ spl0_111
| ~ spl0_116 ),
inference(forward_demodulation,[],[f4437,f2661]) ).
thf(f4437,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$true))) )
| spl0_17
| ~ spl0_110
| ~ spl0_111
| ~ spl0_116 ),
inference(forward_demodulation,[],[f4436,f2653]) ).
thf(f2505,plain,
( ( $false != vAPP($o,$o,f2,$true) )
| ( $false = vAPP($o,$o,f3,$false) )
| spl0_101 ),
inference(superposition,[],[f2232,f4]) ).
thf(f4395,plain,
( spl0_140
| spl0_141
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f4254,f4036,f4392,f4388]) ).
thf(f4254,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,$true)) )
| ( $false = vAPP($o,$o,f3,vAPP($o,$o,f3,$false)) )
| ~ spl0_137 ),
inference(superposition,[],[f4038,f4]) ).
thf(f4016,plain,
( ~ spl0_4
| spl0_23
| ~ spl0_30
| spl0_56
| ~ spl0_80
| ~ spl0_93
| spl0_95
| ~ spl0_103
| spl0_104 ),
inference(avatar_contradiction_clause,[],[f4015]) ).
thf(f4015,plain,
( $false
| ~ spl0_4
| spl0_23
| ~ spl0_30
| spl0_56
| ~ spl0_80
| ~ spl0_93
| spl0_95
| ~ spl0_103
| spl0_104 ),
inference(subsumption_resolution,[],[f4014,f485]) ).
thf(f4014,plain,
( ( $false = vAPP($o,$o,f0,$true) )
| ~ spl0_4
| spl0_23
| ~ spl0_30
| ~ spl0_80
| ~ spl0_93
| spl0_95
| ~ spl0_103
| spl0_104 ),
inference(forward_demodulation,[],[f4013,f183]) ).
thf(f4013,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ~ spl0_4
| spl0_23
| ~ spl0_80
| ~ spl0_93
| spl0_95
| ~ spl0_103
| spl0_104 ),
inference(forward_demodulation,[],[f4012,f3950]) ).
thf(f3950,plain,
( ( $true = vAPP($o,$o,f1,$true) )
| ~ spl0_4
| spl0_23
| ~ spl0_80
| ~ spl0_93
| spl0_95
| ~ spl0_103 ),
inference(trivial_inequality_removal,[],[f3949]) ).
thf(f3949,plain,
( ( $true = $false )
| ( $true = vAPP($o,$o,f1,$true) )
| ~ spl0_4
| spl0_23
| ~ spl0_80
| ~ spl0_93
| spl0_95
| ~ spl0_103 ),
inference(forward_demodulation,[],[f3948,f2415]) ).
thf(f3948,plain,
( ( $true = vAPP($o,$o,f1,$false) )
| ( $true = vAPP($o,$o,f1,$true) )
| ~ spl0_4
| spl0_23
| ~ spl0_80
| ~ spl0_93
| spl0_95 ),
inference(forward_demodulation,[],[f3947,f3922]) ).
thf(f3922,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) )
| ~ spl0_4
| spl0_23
| spl0_95 ),
inference(subsumption_resolution,[],[f3871,f1749]) ).
thf(f3871,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) )
| ~ spl0_4
| spl0_23 ),
inference(superposition,[],[f1631,f4]) ).
thf(f1631,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$true)))) )
| ~ spl0_4
| spl0_23 ),
inference(subsumption_resolution,[],[f1592,f151]) ).
thf(f1592,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$true)))) )
| ( vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,x))))))))) = $false )
| ~ spl0_4 ),
inference(superposition,[],[f25,f4]) ).
thf(f3947,plain,
( ( $true = vAPP($o,$o,f1,$true) )
| ( $true = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) )
| ~ spl0_4
| spl0_23
| ~ spl0_80
| ~ spl0_93 ),
inference(trivial_inequality_removal,[],[f3946]) ).
thf(f3946,plain,
( ( $true = $false )
| ( $true = vAPP($o,$o,f1,$true) )
| ( $true = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) )
| ~ spl0_4
| spl0_23
| ~ spl0_80
| ~ spl0_93 ),
inference(forward_demodulation,[],[f3945,f1670]) ).
thf(f3945,plain,
( ( $true = vAPP($o,$o,f0,$false) )
| ( $true = vAPP($o,$o,f1,$true) )
| ( $true = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) )
| ~ spl0_4
| spl0_23
| ~ spl0_80
| ~ spl0_93 ),
inference(forward_demodulation,[],[f3908,f1670]) ).
thf(f3908,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,$false)) )
| ( $true = vAPP($o,$o,f1,$true) )
| ( $true = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) )
| ~ spl0_4
| spl0_23
| ~ spl0_80 ),
inference(binary_proxy_clausification,[],[f3882]) ).
thf(f3882,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,$false)) )
| ( vAPP($o,$o,f1,$true) != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) )
| ~ spl0_4
| spl0_23
| ~ spl0_80 ),
inference(constrained_superposition,[],[f966,f1631]) ).
thf(f4012,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true))) )
| ~ spl0_4
| spl0_23
| ~ spl0_80
| ~ spl0_93
| spl0_95
| ~ spl0_103
| spl0_104 ),
inference(subsumption_resolution,[],[f4011,f2418]) ).
thf(f4011,plain,
( ( $false = vAPP($o,$o,f1,$true) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true))) )
| ~ spl0_4
| spl0_23
| ~ spl0_80
| ~ spl0_93
| spl0_95
| ~ spl0_103 ),
inference(forward_demodulation,[],[f4010,f3950]) ).
thf(f4010,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true))) )
| ~ spl0_4
| spl0_23
| ~ spl0_80
| ~ spl0_93
| spl0_95
| ~ spl0_103 ),
inference(forward_demodulation,[],[f3895,f3950]) ).
thf(f3895,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true))) )
| ~ spl0_4
| spl0_23
| ~ spl0_80 ),
inference(binary_proxy_clausification,[],[f3893]) ).
thf(f3893,plain,
( ( vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true))) )
| ~ spl0_4
| spl0_23
| ~ spl0_80 ),
inference(trivial_inequality_removal,[],[f3888]) ).
thf(f3888,plain,
( ( $true = $false )
| ( vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true))) )
| ~ spl0_4
| spl0_23
| ~ spl0_80 ),
inference(constrained_superposition,[],[f966,f1631]) ).
thf(f3997,plain,
( ~ spl0_4
| spl0_23
| spl0_56
| ~ spl0_80
| ~ spl0_93
| spl0_95
| ~ spl0_103
| spl0_104 ),
inference(avatar_contradiction_clause,[],[f3996]) ).
thf(f3996,plain,
( $false
| ~ spl0_4
| spl0_23
| spl0_56
| ~ spl0_80
| ~ spl0_93
| spl0_95
| ~ spl0_103
| spl0_104 ),
inference(subsumption_resolution,[],[f3995,f485]) ).
thf(f3995,plain,
( ( $false = vAPP($o,$o,f0,$true) )
| ~ spl0_4
| spl0_23
| ~ spl0_80
| ~ spl0_93
| spl0_95
| ~ spl0_103
| spl0_104 ),
inference(forward_demodulation,[],[f3994,f3950]) ).
thf(f3994,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ~ spl0_4
| spl0_23
| ~ spl0_80
| ~ spl0_93
| spl0_95
| ~ spl0_103
| spl0_104 ),
inference(subsumption_resolution,[],[f3993,f2418]) ).
thf(f3993,plain,
( ( $false = vAPP($o,$o,f1,$true) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ~ spl0_4
| spl0_23
| ~ spl0_80
| ~ spl0_93
| spl0_95
| ~ spl0_103 ),
inference(forward_demodulation,[],[f3992,f3950]) ).
thf(f3992,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,$true)) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ~ spl0_4
| spl0_23
| ~ spl0_80
| ~ spl0_93
| spl0_95
| ~ spl0_103 ),
inference(forward_demodulation,[],[f3991,f3950]) ).
thf(f3991,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ~ spl0_4
| spl0_23
| ~ spl0_80
| ~ spl0_93 ),
inference(trivial_inequality_removal,[],[f3990]) ).
thf(f3990,plain,
( ( $true = $false )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ~ spl0_4
| spl0_23
| ~ spl0_80
| ~ spl0_93 ),
inference(forward_demodulation,[],[f3899,f1670]) ).
thf(f3899,plain,
( ( $true = vAPP($o,$o,f0,$false) )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ~ spl0_4
| spl0_23
| ~ spl0_80 ),
inference(binary_proxy_clausification,[],[f3886]) ).
thf(f3886,plain,
( ( $true = vAPP($o,$o,f0,$false) )
| ( vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) != vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ~ spl0_4
| spl0_23
| ~ spl0_80 ),
inference(constrained_superposition,[],[f966,f1631]) ).
thf(f3921,plain,
( spl0_97
| ~ spl0_4
| spl0_23
| spl0_104 ),
inference(avatar_split_clause,[],[f3920,f2417,f150,f23,f2067]) ).
thf(f3920,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) )
| ~ spl0_4
| spl0_23
| spl0_104 ),
inference(subsumption_resolution,[],[f3869,f2418]) ).
thf(f3869,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) )
| ( $false = vAPP($o,$o,f1,$true) )
| ~ spl0_4
| spl0_23 ),
inference(superposition,[],[f1631,f4]) ).
thf(f3455,plain,
( spl0_7
| ~ spl0_100 ),
inference(avatar_contradiction_clause,[],[f3454]) ).
thf(f3454,plain,
( $false
| spl0_7
| ~ spl0_100 ),
inference(subsumption_resolution,[],[f3378,f2168]) ).
thf(f2168,plain,
( ! [X0: $o] : ( $false = X0 )
| ~ spl0_100 ),
inference(avatar_component_clause,[],[f2167]) ).
thf(f3378,plain,
( ( $false != vAPP($o,$o,f6,$false) )
| spl0_7
| ~ spl0_100 ),
inference(backward_demodulation,[],[f79,f2168]) ).
thf(f3439,plain,
( ~ spl0_30
| ~ spl0_100 ),
inference(avatar_contradiction_clause,[],[f3438]) ).
thf(f3438,plain,
( $false
| ~ spl0_30
| ~ spl0_100 ),
inference(trivial_inequality_removal,[],[f3428]) ).
thf(f3428,plain,
( ( $true = $false )
| ~ spl0_30
| ~ spl0_100 ),
inference(backward_demodulation,[],[f183,f2168]) ).
thf(f3313,plain,
( spl0_111
| ~ spl0_65
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f3312,f3018,f834,f2659]) ).
thf(f3312,plain,
( ( $false = vAPP($o,$o,f5,$true) )
| ~ spl0_65
| ~ spl0_115 ),
inference(backward_demodulation,[],[f836,f3020]) ).
thf(f3282,plain,
( spl0_133
| spl0_134
| ~ spl0_4
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f3273,f87,f23,f3279,f3275]) ).
thf(f3273,plain,
( ( $false = vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false))) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$true)))))))) )
| ~ spl0_4
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1588,f89]) ).
thf(f1588,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$true)))))))) )
| ( vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,x))))) = $false )
| ~ spl0_4 ),
inference(superposition,[],[f25,f4]) ).
thf(f3272,plain,
( spl0_132
| spl0_107
| ~ spl0_4
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f3267,f87,f23,f2635,f3269]) ).
thf(f3267,plain,
( ( $false = vAPP($o,$o,f5,vAPP($o,$o,f5,$false)) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))))))))) )
| ~ spl0_4
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1586,f89]) ).
thf(f1586,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))))))))) )
| ( vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,x)))) = $false )
| ~ spl0_4 ),
inference(superposition,[],[f25,f4]) ).
thf(f3266,plain,
( spl0_131
| ~ spl0_107
| ~ spl0_4
| ~ spl0_9
| ~ spl0_69
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f3261,f894,f875,f87,f23,f2635,f3263]) ).
thf(f3261,plain,
( ( $false != vAPP($o,$o,f5,vAPP($o,$o,f5,$false)) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$false)))))))) )
| ~ spl0_4
| ~ spl0_9
| ~ spl0_69
| ~ spl0_71 ),
inference(forward_demodulation,[],[f1587,f89]) ).
thf(f1587,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$false)))))))) )
| ( vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,x)))) != $false )
| ~ spl0_4
| ~ spl0_69
| ~ spl0_71 ),
inference(constrained_superposition,[],[f25,f1056]) ).
thf(f3260,plain,
( ~ spl0_9
| ~ spl0_117 ),
inference(avatar_contradiction_clause,[],[f3259]) ).
thf(f3259,plain,
( $false
| ~ spl0_9
| ~ spl0_117 ),
inference(trivial_inequality_removal,[],[f3258]) ).
thf(f3258,plain,
( ( $true = $false )
| ~ spl0_9
| ~ spl0_117 ),
inference(backward_demodulation,[],[f3042,f89]) ).
thf(f3091,plain,
( spl0_121
| spl0_115
| spl0_5
| spl0_9
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f2968,f834,f87,f69,f3018,f3084]) ).
thf(f2968,plain,
( ( vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x))) = $true )
| ( $true = vAPP($o,$o,f6,$true) )
| spl0_5
| spl0_9
| ~ spl0_65 ),
inference(binary_proxy_clausification,[],[f2967]) ).
thf(f2967,plain,
( ( vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x))) != vAPP($o,$o,f6,$true) )
| spl0_5
| spl0_9
| ~ spl0_65 ),
inference(trivial_inequality_removal,[],[f2939]) ).
thf(f2939,plain,
( ( $false != $false )
| ( vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x))) != vAPP($o,$o,f6,$true) )
| spl0_5
| spl0_9
| ~ spl0_65 ),
inference(constrained_superposition,[],[f2766,f836]) ).
thf(f2766,plain,
( ( $false != vAPP($o,$o,f5,vAPP($o,$o,f6,$true)) )
| spl0_5
| spl0_9 ),
inference(subsumption_resolution,[],[f2761,f70]) ).
thf(f70,plain,
( ( x != $false )
| spl0_5 ),
inference(avatar_component_clause,[],[f69]) ).
thf(f2761,plain,
( ( $false != vAPP($o,$o,f5,vAPP($o,$o,f6,$true)) )
| ( x = $false )
| spl0_9 ),
inference(superposition,[],[f88,f4]) ).
thf(f88,plain,
( ( vAPP($o,$o,f5,vAPP($o,$o,f6,x)) != $false )
| spl0_9 ),
inference(avatar_component_clause,[],[f87]) ).
thf(f2768,plain,
( ~ spl0_111
| spl0_7
| spl0_9 ),
inference(avatar_split_clause,[],[f2767,f87,f78,f2659]) ).
thf(f2767,plain,
( ( $false != vAPP($o,$o,f5,$true) )
| spl0_7
| spl0_9 ),
inference(subsumption_resolution,[],[f2762,f79]) ).
thf(f2762,plain,
( ( $false != vAPP($o,$o,f5,$true) )
| ( vAPP($o,$o,f6,x) = $false )
| spl0_9 ),
inference(superposition,[],[f88,f4]) ).
thf(f2690,plain,
( ~ spl0_7
| spl0_13
| ~ spl0_89 ),
inference(avatar_contradiction_clause,[],[f2689]) ).
thf(f2689,plain,
( $false
| ~ spl0_7
| spl0_13
| ~ spl0_89 ),
inference(subsumption_resolution,[],[f2688,f1412]) ).
thf(f2688,plain,
( ( $false != vAPP($o,$o,f5,$false) )
| ~ spl0_7
| spl0_13
| ~ spl0_89 ),
inference(forward_demodulation,[],[f2679,f1412]) ).
thf(f2679,plain,
( ( $false != vAPP($o,$o,f5,vAPP($o,$o,f5,$false)) )
| ~ spl0_7
| spl0_13
| ~ spl0_89 ),
inference(backward_demodulation,[],[f1710,f1412]) ).
thf(f1710,plain,
( ( $false != vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$false))) )
| ~ spl0_7
| spl0_13 ),
inference(backward_demodulation,[],[f106,f80]) ).
thf(f106,plain,
( ( vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,x)))) != $false )
| spl0_13 ),
inference(avatar_component_clause,[],[f105]) ).
thf(f2678,plain,
( ~ spl0_89
| ~ spl0_7
| spl0_9 ),
inference(avatar_split_clause,[],[f1708,f87,f78,f1410]) ).
thf(f1708,plain,
( ( $false != vAPP($o,$o,f5,$false) )
| ~ spl0_7
| spl0_9 ),
inference(backward_demodulation,[],[f88,f80]) ).
thf(f2649,plain,
( ~ spl0_107
| ~ spl0_7
| spl0_11 ),
inference(avatar_split_clause,[],[f1709,f96,f78,f2635]) ).
thf(f1709,plain,
( ( $false != vAPP($o,$o,f5,vAPP($o,$o,f5,$false)) )
| ~ spl0_7
| spl0_11 ),
inference(backward_demodulation,[],[f97,f80]) ).
thf(f97,plain,
( ( vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,x))) != $false )
| spl0_11 ),
inference(avatar_component_clause,[],[f96]) ).
thf(f2583,plain,
( ~ spl0_31
| ~ spl0_7
| ~ spl0_65
| spl0_89 ),
inference(avatar_split_clause,[],[f2552,f1410,f834,f78,f327]) ).
thf(f2552,plain,
( ( $false != vAPP($o,$o,f6,vAPP($o,$o,f6,$false)) )
| ~ spl0_7
| ~ spl0_65
| spl0_89 ),
inference(trivial_inequality_removal,[],[f2533]) ).
thf(f2533,plain,
( ( $false != $false )
| ( $false != vAPP($o,$o,f6,vAPP($o,$o,f6,$false)) )
| ~ spl0_7
| ~ spl0_65
| spl0_89 ),
inference(constrained_superposition,[],[f1411,f1720]) ).
thf(f1720,plain,
( ( $false = vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$false))) )
| ~ spl0_7
| ~ spl0_65 ),
inference(backward_demodulation,[],[f836,f80]) ).
thf(f2441,plain,
( spl0_96
| ~ spl0_98
| ~ spl0_103 ),
inference(avatar_contradiction_clause,[],[f2440]) ).
thf(f2440,plain,
( $false
| spl0_96
| ~ spl0_98
| ~ spl0_103 ),
inference(subsumption_resolution,[],[f2439,f2415]) ).
thf(f2439,plain,
( ( $false != vAPP($o,$o,f1,$false) )
| spl0_96
| ~ spl0_98 ),
inference(forward_demodulation,[],[f1753,f2073]) ).
thf(f2434,plain,
( spl0_103
| ~ spl0_7
| ~ spl0_27
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f2433,f2071,f168,f78,f2413]) ).
thf(f2433,plain,
( ( $false = vAPP($o,$o,f1,$false) )
| ~ spl0_7
| ~ spl0_27
| ~ spl0_98 ),
inference(forward_demodulation,[],[f2432,f2073]) ).
thf(f2432,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$false)))))))))) )
| ~ spl0_7
| ~ spl0_27 ),
inference(forward_demodulation,[],[f170,f80]) ).
thf(f2425,plain,
( ~ spl0_51
| ~ spl0_80 ),
inference(avatar_contradiction_clause,[],[f2424]) ).
thf(f2424,plain,
( $false
| ~ spl0_51
| ~ spl0_80 ),
inference(trivial_inequality_removal,[],[f2423]) ).
thf(f2423,plain,
( ( $true = $false )
| ~ spl0_51
| ~ spl0_80 ),
inference(forward_demodulation,[],[f966,f460]) ).
thf(f2420,plain,
( spl0_103
| spl0_104
| ~ spl0_7
| ~ spl0_29
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f2131,f2071,f177,f78,f2417,f2413]) ).
thf(f2131,plain,
( ( $false = vAPP($o,$o,f1,$true) )
| ( $false = vAPP($o,$o,f1,$false) )
| ~ spl0_7
| ~ spl0_29
| ~ spl0_98 ),
inference(superposition,[],[f2078,f4]) ).
thf(f2078,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,$false)) )
| ~ spl0_7
| ~ spl0_29
| ~ spl0_98 ),
inference(backward_demodulation,[],[f1718,f2073]) ).
thf(f1718,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$false))))))))))) )
| ~ spl0_7
| ~ spl0_29 ),
inference(backward_demodulation,[],[f179,f80]) ).
thf(f2271,plain,
( spl0_97
| ~ spl0_4
| spl0_21
| ~ spl0_99
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f2266,f2235,f2163,f141,f23,f2067]) ).
thf(f2266,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) )
| ~ spl0_4
| spl0_21
| ~ spl0_99
| ~ spl0_102 ),
inference(forward_demodulation,[],[f2261,f2165]) ).
thf(f2261,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$false)))) )
| ~ spl0_4
| spl0_21
| ~ spl0_102 ),
inference(backward_demodulation,[],[f1630,f2237]) ).
thf(f1630,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))))) )
| ~ spl0_4
| spl0_21 ),
inference(subsumption_resolution,[],[f1591,f142]) ).
thf(f2270,plain,
( ~ spl0_4
| spl0_21
| spl0_56
| ~ spl0_95
| ~ spl0_99
| ~ spl0_102 ),
inference(avatar_contradiction_clause,[],[f2269]) ).
thf(f2269,plain,
( $false
| ~ spl0_4
| spl0_21
| spl0_56
| ~ spl0_95
| ~ spl0_99
| ~ spl0_102 ),
inference(subsumption_resolution,[],[f2268,f485]) ).
thf(f2268,plain,
( ( $false = vAPP($o,$o,f0,$true) )
| ~ spl0_4
| spl0_21
| spl0_56
| ~ spl0_95
| ~ spl0_99
| ~ spl0_102 ),
inference(forward_demodulation,[],[f2267,f2165]) ).
thf(f2267,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| ~ spl0_4
| spl0_21
| spl0_56
| ~ spl0_95
| ~ spl0_99
| ~ spl0_102 ),
inference(forward_demodulation,[],[f2266,f2104]) ).
thf(f2104,plain,
( ( $false = vAPP($o,$o,f1,$true) )
| spl0_56
| ~ spl0_95 ),
inference(subsumption_resolution,[],[f2089,f485]) ).
thf(f2089,plain,
( ( $false = vAPP($o,$o,f0,$true) )
| ( $false = vAPP($o,$o,f1,$true) )
| ~ spl0_95 ),
inference(superposition,[],[f1750,f4]) ).
thf(f2244,plain,
( spl0_101
| ~ spl0_7
| ~ spl0_65
| ~ spl0_69
| ~ spl0_71
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f2243,f929,f894,f875,f834,f78,f2231]) ).
thf(f2243,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,$false)) )
| ~ spl0_7
| ~ spl0_65
| ~ spl0_69
| ~ spl0_71
| ~ spl0_75 ),
inference(forward_demodulation,[],[f2242,f1056]) ).
thf(f2242,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))) )
| ~ spl0_7
| ~ spl0_65
| ~ spl0_69
| ~ spl0_71
| ~ spl0_75 ),
inference(forward_demodulation,[],[f2241,f1056]) ).
thf(f2241,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$false)))) )
| ~ spl0_7
| ~ spl0_65
| ~ spl0_69
| ~ spl0_71
| ~ spl0_75 ),
inference(forward_demodulation,[],[f2240,f1056]) ).
thf(f2240,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$false))))) )
| ~ spl0_7
| ~ spl0_65
| ~ spl0_75 ),
inference(forward_demodulation,[],[f2239,f1720]) ).
thf(f2239,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$false)))))))) )
| ~ spl0_7
| ~ spl0_75 ),
inference(forward_demodulation,[],[f931,f80]) ).
thf(f2169,plain,
( spl0_99
| spl0_100
| spl0_3
| ~ spl0_7
| ~ spl0_30
| ~ spl0_65
| ~ spl0_69
| ~ spl0_71
| ~ spl0_77
| spl0_86
| ~ spl0_93
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f2161,f1748,f1668,f1001,f945,f894,f875,f834,f181,f78,f19,f2167,f2163]) ).
thf(f2161,plain,
( ! [X0: $o] :
( ( $false = X0 )
| ( $true = vAPP($o,$o,f1,$false) ) )
| spl0_3
| ~ spl0_7
| ~ spl0_30
| ~ spl0_65
| ~ spl0_69
| ~ spl0_71
| ~ spl0_77
| spl0_86
| ~ spl0_93
| ~ spl0_95 ),
inference(subsumption_resolution,[],[f2150,f2157]) ).
thf(f2157,plain,
( ! [X0: $o] :
( ( $true != vAPP($o,$o,f1,X0) )
| ( $false = X0 ) )
| ~ spl0_30
| ~ spl0_95 ),
inference(trivial_inequality_removal,[],[f2142]) ).
thf(f2142,plain,
( ! [X0: $o] :
( ( $true = $false )
| ( $false = X0 )
| ( $true != vAPP($o,$o,f1,X0) ) )
| ~ spl0_30
| ~ spl0_95 ),
inference(constrained_superposition,[],[f2088,f183]) ).
thf(f2088,plain,
( ! [X0: $o] :
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,X0)) )
| ( $false = X0 ) )
| ~ spl0_95 ),
inference(superposition,[],[f1750,f4]) ).
thf(f2150,plain,
( ! [X0: $o] :
( ( $false = X0 )
| ( $true = vAPP($o,$o,f1,$false) )
| ( $true = vAPP($o,$o,f1,X0) ) )
| spl0_3
| ~ spl0_7
| ~ spl0_65
| ~ spl0_69
| ~ spl0_71
| ~ spl0_77
| spl0_86
| ~ spl0_93
| ~ spl0_95 ),
inference(binary_proxy_clausification,[],[f2149]) ).
thf(f2149,plain,
( ! [X0: $o] :
( ( $false = X0 )
| ( vAPP($o,$o,f1,$false) != vAPP($o,$o,f1,X0) ) )
| spl0_3
| ~ spl0_7
| ~ spl0_65
| ~ spl0_69
| ~ spl0_71
| ~ spl0_77
| spl0_86
| ~ spl0_93
| ~ spl0_95 ),
inference(trivial_inequality_removal,[],[f2148]) ).
thf(f2148,plain,
( ! [X0: $o] :
( ( $false != $false )
| ( $false = X0 )
| ( vAPP($o,$o,f1,$false) != vAPP($o,$o,f1,X0) ) )
| spl0_3
| ~ spl0_7
| ~ spl0_65
| ~ spl0_69
| ~ spl0_71
| ~ spl0_77
| spl0_86
| ~ spl0_93
| ~ spl0_95 ),
inference(constrained_superposition,[],[f2064,f2088]) ).
thf(f2064,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,$false)) )
| spl0_3
| ~ spl0_7
| ~ spl0_65
| ~ spl0_69
| ~ spl0_71
| ~ spl0_77
| spl0_86
| ~ spl0_93
| ~ spl0_95 ),
inference(forward_demodulation,[],[f1745,f2011]) ).
thf(f2011,plain,
( ( $false = vAPP($o,$o,f2,$false) )
| spl0_3
| ~ spl0_7
| ~ spl0_65
| ~ spl0_69
| ~ spl0_71
| ~ spl0_77
| ~ spl0_93
| ~ spl0_95 ),
inference(subsumption_resolution,[],[f2010,f1670]) ).
thf(f2010,plain,
( ( $false != vAPP($o,$o,f0,$false) )
| ( $false = vAPP($o,$o,f2,$false) )
| spl0_3
| ~ spl0_7
| ~ spl0_65
| ~ spl0_69
| ~ spl0_71
| ~ spl0_77
| ~ spl0_93
| ~ spl0_95 ),
inference(forward_demodulation,[],[f2009,f1670]) ).
thf(f2009,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,$false)) )
| ( $false = vAPP($o,$o,f2,$false) )
| spl0_3
| ~ spl0_7
| ~ spl0_65
| ~ spl0_69
| ~ spl0_71
| ~ spl0_77
| ~ spl0_95 ),
inference(forward_demodulation,[],[f1806,f1750]) ).
thf(f1806,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( $false = vAPP($o,$o,f2,$false) )
| spl0_3
| ~ spl0_7
| ~ spl0_65
| ~ spl0_69
| ~ spl0_71
| ~ spl0_77 ),
inference(superposition,[],[f1732,f4]) ).
thf(f1732,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$false))))) )
| spl0_3
| ~ spl0_7
| ~ spl0_65
| ~ spl0_69
| ~ spl0_71
| ~ spl0_77 ),
inference(forward_demodulation,[],[f1731,f1701]) ).
thf(f1701,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$false))) )
| ~ spl0_65
| ~ spl0_69
| ~ spl0_71
| ~ spl0_77 ),
inference(forward_demodulation,[],[f1700,f1056]) ).
thf(f1700,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))) )
| ~ spl0_65
| ~ spl0_69
| ~ spl0_71
| ~ spl0_77 ),
inference(forward_demodulation,[],[f1699,f1056]) ).
thf(f1699,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$false))))) )
| ~ spl0_65
| ~ spl0_69
| ~ spl0_71
| ~ spl0_77 ),
inference(forward_demodulation,[],[f1694,f1056]) ).
thf(f1694,plain,
( ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$false)))))) )
| ~ spl0_65
| ~ spl0_77 ),
inference(backward_demodulation,[],[f947,f836]) ).
thf(f1731,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$false)))))))) )
| spl0_3
| ~ spl0_7
| ~ spl0_65
| ~ spl0_69
| ~ spl0_71 ),
inference(forward_demodulation,[],[f1730,f1056]) ).
thf(f1730,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))))))) )
| spl0_3
| ~ spl0_7
| ~ spl0_65
| ~ spl0_69
| ~ spl0_71 ),
inference(forward_demodulation,[],[f1729,f1056]) ).
thf(f1729,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$false)))))))))) )
| spl0_3
| ~ spl0_7
| ~ spl0_65
| ~ spl0_69
| ~ spl0_71 ),
inference(forward_demodulation,[],[f1728,f1056]) ).
thf(f1728,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$false))))))))))) )
| spl0_3
| ~ spl0_7
| ~ spl0_65 ),
inference(forward_demodulation,[],[f1727,f1720]) ).
thf(f1727,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$false)))))))))))))) )
| spl0_3
| ~ spl0_7 ),
inference(forward_demodulation,[],[f20,f80]) ).
thf(f1745,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$false))) )
| ~ spl0_7
| ~ spl0_65
| ~ spl0_69
| ~ spl0_71
| ~ spl0_77
| spl0_86 ),
inference(forward_demodulation,[],[f1744,f1701]) ).
thf(f1744,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$false)))))) )
| ~ spl0_7
| ~ spl0_65
| ~ spl0_69
| ~ spl0_71
| spl0_86 ),
inference(forward_demodulation,[],[f1743,f1056]) ).
thf(f1743,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$false))))))) )
| ~ spl0_7
| ~ spl0_65
| ~ spl0_69
| ~ spl0_71
| spl0_86 ),
inference(forward_demodulation,[],[f1742,f1056]) ).
thf(f1742,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$false)))))))) )
| ~ spl0_7
| ~ spl0_65
| ~ spl0_69
| ~ spl0_71
| spl0_86 ),
inference(forward_demodulation,[],[f1741,f1056]) ).
thf(f1741,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$false))))))))) )
| ~ spl0_7
| ~ spl0_65
| spl0_86 ),
inference(forward_demodulation,[],[f1740,f1720]) ).
thf(f1740,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$false)))))))))))) )
| ~ spl0_7
| spl0_86 ),
inference(forward_demodulation,[],[f1002,f80]) ).
thf(f2076,plain,
( spl0_98
| ~ spl0_7
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f2075,f159,f78,f2071]) ).
thf(f2075,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$false))))))))) )
| ~ spl0_7
| ~ spl0_25 ),
inference(forward_demodulation,[],[f161,f80]) ).
thf(f2074,plain,
( spl0_97
| spl0_98
| ~ spl0_4
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f2065,f78,f23,f2071,f2067]) ).
thf(f2065,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$false))))))))) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) )
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1593,f80]) ).
thf(f1593,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) )
| ( vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,x)))))))))) = $false )
| ~ spl0_4 ),
inference(superposition,[],[f25,f4]) ).
thf(f2036,plain,
( ~ spl0_88
| ~ spl0_93 ),
inference(avatar_contradiction_clause,[],[f2035]) ).
thf(f2035,plain,
( $false
| ~ spl0_88
| ~ spl0_93 ),
inference(trivial_inequality_removal,[],[f2034]) ).
thf(f2034,plain,
( ( $true = $false )
| ~ spl0_88
| ~ spl0_93 ),
inference(forward_demodulation,[],[f2033,f1670]) ).
thf(f2033,plain,
( ( $true = vAPP($o,$o,f0,$false) )
| ~ spl0_88
| ~ spl0_93 ),
inference(forward_demodulation,[],[f2032,f1670]) ).
thf(f2032,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,$false)) )
| ~ spl0_88
| ~ spl0_93 ),
inference(forward_demodulation,[],[f1021,f1670]) ).
thf(f1021,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$false))) )
| ~ spl0_88 ),
inference(avatar_component_clause,[],[f1019]) ).
thf(f2000,plain,
( spl0_51
| ~ spl0_93
| ~ spl0_95 ),
inference(avatar_contradiction_clause,[],[f1999]) ).
thf(f1999,plain,
( $false
| spl0_51
| ~ spl0_93
| ~ spl0_95 ),
inference(subsumption_resolution,[],[f1998,f1670]) ).
thf(f1998,plain,
( ( $false != vAPP($o,$o,f0,$false) )
| spl0_51
| ~ spl0_93
| ~ spl0_95 ),
inference(forward_demodulation,[],[f1993,f1670]) ).
thf(f1993,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,$false)) )
| spl0_51
| ~ spl0_95 ),
inference(backward_demodulation,[],[f459,f1750]) ).
thf(f1997,plain,
( ~ spl0_80
| ~ spl0_93
| ~ spl0_95 ),
inference(avatar_contradiction_clause,[],[f1996]) ).
thf(f1996,plain,
( $false
| ~ spl0_80
| ~ spl0_93
| ~ spl0_95 ),
inference(trivial_inequality_removal,[],[f1995]) ).
thf(f1995,plain,
( ( $true = $false )
| ~ spl0_80
| ~ spl0_93
| ~ spl0_95 ),
inference(forward_demodulation,[],[f1994,f1670]) ).
thf(f1994,plain,
( ( $true = vAPP($o,$o,f0,$false) )
| ~ spl0_80
| ~ spl0_93
| ~ spl0_95 ),
inference(forward_demodulation,[],[f1992,f1670]) ).
thf(f1992,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,$false)) )
| ~ spl0_80
| ~ spl0_95 ),
inference(backward_demodulation,[],[f966,f1750]) ).
thf(f1757,plain,
( spl0_96
| ~ spl0_7
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f1756,f168,f78,f1752]) ).
thf(f1756,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$false)))))))))) )
| ~ spl0_7
| ~ spl0_27 ),
inference(forward_demodulation,[],[f170,f80]) ).
thf(f1755,plain,
( spl0_95
| spl0_96
| ~ spl0_4
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f1746,f78,f23,f1752,f1748]) ).
thf(f1746,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$false)))))))))) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1594,f80]) ).
thf(f1737,plain,
( ~ spl0_4
| spl0_27
| ~ spl0_80
| ~ spl0_93 ),
inference(avatar_contradiction_clause,[],[f1736]) ).
thf(f1736,plain,
( $false
| ~ spl0_4
| spl0_27
| ~ spl0_80
| ~ spl0_93 ),
inference(trivial_inequality_removal,[],[f1735]) ).
thf(f1735,plain,
( ( $true = $false )
| ~ spl0_4
| spl0_27
| ~ spl0_80
| ~ spl0_93 ),
inference(forward_demodulation,[],[f1733,f1670]) ).
thf(f1733,plain,
( ( $true = vAPP($o,$o,f0,$false) )
| ~ spl0_4
| spl0_27
| ~ spl0_80
| ~ spl0_93 ),
inference(backward_demodulation,[],[f1634,f1670]) ).
thf(f1634,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,$false)) )
| ~ spl0_4
| spl0_27
| ~ spl0_80 ),
inference(backward_demodulation,[],[f966,f1633]) ).
thf(f1633,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ~ spl0_4
| spl0_27 ),
inference(subsumption_resolution,[],[f1594,f169]) ).
thf(f1707,plain,
( spl0_93
| ~ spl0_4
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f1706,f177,f23,f1668]) ).
thf(f1706,plain,
( ( $false = vAPP($o,$o,f0,$false) )
| ~ spl0_4
| ~ spl0_29 ),
inference(backward_demodulation,[],[f25,f179]) ).
thf(f1680,plain,
( spl0_94
| spl0_3
| ~ spl0_4
| ~ spl0_30
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f1651,f1001,f181,f23,f19,f1674]) ).
thf(f1651,plain,
( ( $true = vAPP($o,$o,f0,$false) )
| spl0_3
| ~ spl0_4
| ~ spl0_30
| ~ spl0_86 ),
inference(subsumption_resolution,[],[f1607,f1619]) ).
thf(f1619,plain,
( ( vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,x)))))))))))) != $true )
| ~ spl0_4
| ~ spl0_30 ),
inference(trivial_inequality_removal,[],[f1596]) ).
thf(f1596,plain,
( ( $true = $false )
| ( vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,x)))))))))))) != $true )
| ~ spl0_4
| ~ spl0_30 ),
inference(constrained_superposition,[],[f25,f183]) ).
thf(f1607,plain,
( ( vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,x)))))))))))) = $true )
| ( $true = vAPP($o,$o,f0,$false) )
| spl0_3
| ~ spl0_4
| ~ spl0_86 ),
inference(binary_proxy_clausification,[],[f1606]) ).
thf(f1606,plain,
( ( vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,x)))))))))))) != vAPP($o,$o,f0,$false) )
| spl0_3
| ~ spl0_4
| ~ spl0_86 ),
inference(trivial_inequality_removal,[],[f1605]) ).
thf(f1605,plain,
( ( $false != $false )
| ( vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,x)))))))))))) != vAPP($o,$o,f0,$false) )
| spl0_3
| ~ spl0_4
| ~ spl0_86 ),
inference(constrained_superposition,[],[f1037,f25]) ).
thf(f1037,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,$false)) )
| spl0_3
| ~ spl0_86 ),
inference(backward_demodulation,[],[f20,f1003]) ).
thf(f1003,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x))))))))))))) = $false )
| ~ spl0_86 ),
inference(avatar_component_clause,[],[f1001]) ).
thf(f1679,plain,
( spl0_29
| ~ spl0_4
| spl0_56 ),
inference(avatar_split_clause,[],[f1636,f484,f23,f177]) ).
thf(f1636,plain,
( ( vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,x)))))))))))) = $false )
| ~ spl0_4
| spl0_56 ),
inference(subsumption_resolution,[],[f1595,f485]) ).
thf(f1671,plain,
( spl0_93
| spl0_29
| spl0_3
| ~ spl0_4
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f1608,f1001,f23,f19,f177,f1668]) ).
thf(f1608,plain,
( ( vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,x)))))))))))) = $false )
| ( $false = vAPP($o,$o,f0,$false) )
| spl0_3
| ~ spl0_4
| ~ spl0_86 ),
inference(binary_proxy_clausification,[],[f1606]) ).
thf(f1666,plain,
( spl0_7
| spl0_92
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f785,f10,f1663,f78]) ).
thf(f785,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,$true)))))))))))))) )
| ( vAPP($o,$o,f6,x) = $false )
| ~ spl0_1 ),
inference(superposition,[],[f12,f4]) ).
thf(f1661,plain,
( spl0_7
| spl0_91
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f1583,f23,f1658,f78]) ).
thf(f1583,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true)))))))))))) )
| ( vAPP($o,$o,f6,x) = $false )
| ~ spl0_4 ),
inference(superposition,[],[f25,f4]) ).
thf(f1624,plain,
( ~ spl0_4
| spl0_7
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f1623]) ).
thf(f1623,plain,
( $false
| ~ spl0_4
| spl0_7
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f1622]) ).
thf(f1622,plain,
( ( $true = $false )
| ~ spl0_4
| spl0_7
| ~ spl0_8 ),
inference(backward_demodulation,[],[f84,f1621]) ).
thf(f1621,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true)))))))))))) )
| ~ spl0_4
| spl0_7 ),
inference(subsumption_resolution,[],[f1583,f79]) ).
thf(f1548,plain,
( ~ spl0_30
| ~ spl0_56 ),
inference(avatar_contradiction_clause,[],[f1547]) ).
thf(f1547,plain,
( $false
| ~ spl0_30
| ~ spl0_56 ),
inference(trivial_inequality_removal,[],[f1546]) ).
thf(f1546,plain,
( ( $true = $false )
| ~ spl0_30
| ~ spl0_56 ),
inference(backward_demodulation,[],[f183,f486]) ).
thf(f1458,plain,
( ~ spl0_4
| ~ spl0_9
| spl0_27
| spl0_51
| spl0_56 ),
inference(avatar_contradiction_clause,[],[f1457]) ).
thf(f1457,plain,
( $false
| ~ spl0_4
| ~ spl0_9
| spl0_27
| spl0_51
| spl0_56 ),
inference(subsumption_resolution,[],[f1456,f1419]) ).
thf(f1419,plain,
( ( $false = vAPP($o,$o,f0,$false) )
| ~ spl0_4
| ~ spl0_9
| spl0_56 ),
inference(backward_demodulation,[],[f1125,f1385]) ).
thf(f1385,plain,
( ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false)))))))))) )
| ~ spl0_4
| ~ spl0_9
| spl0_56 ),
inference(trivial_inequality_removal,[],[f1380]) ).
thf(f1380,plain,
( ( $false != $false )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false)))))))))) )
| ~ spl0_4
| ~ spl0_9
| spl0_56 ),
inference(superposition,[],[f669,f1125]) ).
thf(f669,plain,
( ! [X0: $o] :
( ( $false != vAPP($o,$o,f0,X0) )
| ( $false = X0 ) )
| spl0_56 ),
inference(superposition,[],[f485,f4]) ).
thf(f1125,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false))))))))))) )
| ~ spl0_4
| ~ spl0_9 ),
inference(forward_demodulation,[],[f25,f89]) ).
thf(f1456,plain,
( ( $false != vAPP($o,$o,f0,$false) )
| ~ spl0_4
| ~ spl0_9
| spl0_27
| spl0_51
| spl0_56 ),
inference(forward_demodulation,[],[f1401,f1419]) ).
thf(f1401,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,$false)) )
| ~ spl0_4
| ~ spl0_9
| spl0_27
| spl0_51 ),
inference(backward_demodulation,[],[f459,f1399]) ).
thf(f1399,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ~ spl0_4
| ~ spl0_9
| spl0_27 ),
inference(subsumption_resolution,[],[f1376,f1314]) ).
thf(f1314,plain,
( ( $false != vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false))))))))) )
| ~ spl0_9
| spl0_27 ),
inference(forward_demodulation,[],[f169,f89]) ).
thf(f1376,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false))))))))) )
| ~ spl0_4
| ~ spl0_9 ),
inference(superposition,[],[f1125,f4]) ).
thf(f1235,plain,
( ~ spl0_9
| ~ spl0_15
| ~ spl0_17
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f1234]) ).
thf(f1234,plain,
( $false
| ~ spl0_9
| ~ spl0_15
| ~ spl0_17
| spl0_19 ),
inference(subsumption_resolution,[],[f1233,f1124]) ).
thf(f1124,plain,
( ( $false = vAPP($o,$o,f3,$false) )
| ~ spl0_9
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1028,f1108]) ).
thf(f1108,plain,
( ( $false = vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false))) )
| ~ spl0_9
| ~ spl0_15 ),
inference(forward_demodulation,[],[f116,f89]) ).
thf(f1028,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false)))) )
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_demodulation,[],[f125,f89]) ).
thf(f1233,plain,
( ( $false != vAPP($o,$o,f3,$false) )
| ~ spl0_9
| ~ spl0_15
| ~ spl0_17
| spl0_19 ),
inference(forward_demodulation,[],[f1232,f1124]) ).
thf(f1232,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f3,$false)) )
| ~ spl0_9
| ~ spl0_15
| spl0_19 ),
inference(forward_demodulation,[],[f1231,f1108]) ).
thf(f1231,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false))))) )
| ~ spl0_9
| spl0_19 ),
inference(forward_demodulation,[],[f133,f89]) ).
thf(f1222,plain,
( ~ spl0_9
| ~ spl0_15
| ~ spl0_17
| spl0_21 ),
inference(avatar_contradiction_clause,[],[f1221]) ).
thf(f1221,plain,
( $false
| ~ spl0_9
| ~ spl0_15
| ~ spl0_17
| spl0_21 ),
inference(subsumption_resolution,[],[f1220,f1124]) ).
thf(f1220,plain,
( ( $false != vAPP($o,$o,f3,$false) )
| ~ spl0_9
| ~ spl0_15
| ~ spl0_17
| spl0_21 ),
inference(forward_demodulation,[],[f1219,f1124]) ).
thf(f1219,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f3,$false)) )
| ~ spl0_9
| ~ spl0_15
| ~ spl0_17
| spl0_21 ),
inference(forward_demodulation,[],[f1110,f1124]) ).
thf(f1110,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$false))) )
| ~ spl0_9
| ~ spl0_15
| spl0_21 ),
inference(forward_demodulation,[],[f1101,f1108]) ).
thf(f1101,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$false)))))) )
| ~ spl0_9
| spl0_21 ),
inference(forward_demodulation,[],[f142,f89]) ).
thf(f1107,plain,
( ~ spl0_9
| ~ spl0_13
| ~ spl0_17
| spl0_21
| ~ spl0_69
| ~ spl0_71 ),
inference(avatar_contradiction_clause,[],[f1106]) ).
thf(f1106,plain,
( $false
| ~ spl0_9
| ~ spl0_13
| ~ spl0_17
| spl0_21
| ~ spl0_69
| ~ spl0_71 ),
inference(subsumption_resolution,[],[f1105,f1057]) ).
thf(f1057,plain,
( ( $false = vAPP($o,$o,f3,$false) )
| ~ spl0_9
| ~ spl0_13
| ~ spl0_17
| ~ spl0_69
| ~ spl0_71 ),
inference(backward_demodulation,[],[f1029,f1056]) ).
thf(f1029,plain,
( ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,$false)) )
| ~ spl0_9
| ~ spl0_13
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1028,f773]) ).
thf(f773,plain,
( ( $false = vAPP($o,$o,f5,vAPP($o,$o,f5,$false)) )
| ~ spl0_9
| ~ spl0_13 ),
inference(backward_demodulation,[],[f107,f89]) ).
thf(f1105,plain,
( ( $false != vAPP($o,$o,f3,$false) )
| ~ spl0_9
| ~ spl0_13
| ~ spl0_17
| spl0_21
| ~ spl0_69
| ~ spl0_71 ),
inference(forward_demodulation,[],[f1104,f1057]) ).
thf(f1104,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f3,$false)) )
| ~ spl0_9
| ~ spl0_13
| ~ spl0_17
| spl0_21
| ~ spl0_69
| ~ spl0_71 ),
inference(forward_demodulation,[],[f1103,f1057]) ).
thf(f1103,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$false))) )
| ~ spl0_9
| ~ spl0_13
| spl0_21
| ~ spl0_69
| ~ spl0_71 ),
inference(forward_demodulation,[],[f1102,f1056]) ).
thf(f1102,plain,
( ( $false != vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$false)))) )
| ~ spl0_9
| ~ spl0_13
| spl0_21 ),
inference(forward_demodulation,[],[f1101,f773]) ).
thf(f1026,plain,
( ~ spl0_71
| spl0_88
| ~ spl0_1
| ~ spl0_19
| ~ spl0_21
| ~ spl0_23
| ~ spl0_27
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f905,f177,f168,f150,f141,f132,f10,f1019,f894]) ).
thf(f905,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$false))) )
| ( vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x))))))) != $false )
| ~ spl0_1
| ~ spl0_19
| ~ spl0_21
| ~ spl0_23
| ~ spl0_27
| ~ spl0_29 ),
inference(forward_demodulation,[],[f904,f188]) ).
thf(f188,plain,
( ( $false = vAPP($o,$o,f1,$false) )
| ~ spl0_27
| ~ spl0_29 ),
inference(backward_demodulation,[],[f179,f170]) ).
thf(f904,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$false)))) )
| ( vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x))))))) != $false )
| ~ spl0_1
| ~ spl0_19
| ~ spl0_21
| ~ spl0_23 ),
inference(forward_demodulation,[],[f903,f191]) ).
thf(f191,plain,
( ( $false = vAPP($o,$o,f2,$false) )
| ~ spl0_21
| ~ spl0_23 ),
inference(backward_demodulation,[],[f152,f143]) ).
thf(f903,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$false))))) )
| ( vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x))))))) != $false )
| ~ spl0_1
| ~ spl0_19
| ~ spl0_21
| ~ spl0_23 ),
inference(forward_demodulation,[],[f902,f191]) ).
thf(f902,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$false)))))) )
| ( vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x))))))) != $false )
| ~ spl0_1
| ~ spl0_19
| ~ spl0_21
| ~ spl0_23 ),
inference(forward_demodulation,[],[f795,f191]) ).
thf(f795,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$false))))))) )
| ( vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x))))))) != $false )
| ~ spl0_1
| ~ spl0_19
| ~ spl0_21 ),
inference(constrained_superposition,[],[f12,f192]) ).
thf(f192,plain,
( ( $false = vAPP($o,$o,f3,$false) )
| ~ spl0_19
| ~ spl0_21 ),
inference(backward_demodulation,[],[f143,f134]) ).
thf(f1025,plain,
( ~ spl0_73
| spl0_88
| ~ spl0_1
| ~ spl0_21
| ~ spl0_23
| ~ spl0_27
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f922,f177,f168,f150,f141,f10,f1019,f912]) ).
thf(f922,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$false))) )
| ( vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x)))))))) != $false )
| ~ spl0_1
| ~ spl0_21
| ~ spl0_23
| ~ spl0_27
| ~ spl0_29 ),
inference(forward_demodulation,[],[f921,f188]) ).
thf(f921,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$false)))) )
| ( vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x)))))))) != $false )
| ~ spl0_1
| ~ spl0_21
| ~ spl0_23 ),
inference(forward_demodulation,[],[f920,f191]) ).
thf(f920,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$false))))) )
| ( vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x)))))))) != $false )
| ~ spl0_1
| ~ spl0_21
| ~ spl0_23 ),
inference(forward_demodulation,[],[f797,f191]) ).
thf(f797,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$false)))))) )
| ( vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x)))))))) != $false )
| ~ spl0_1
| ~ spl0_21
| ~ spl0_23 ),
inference(constrained_superposition,[],[f12,f191]) ).
thf(f1023,plain,
( ~ spl0_77
| spl0_88
| ~ spl0_1
| ~ spl0_21
| ~ spl0_23
| ~ spl0_27
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f953,f177,f168,f150,f141,f10,f1019,f945]) ).
thf(f953,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$false))) )
| ( vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x)))))))))) != $false )
| ~ spl0_1
| ~ spl0_21
| ~ spl0_23
| ~ spl0_27
| ~ spl0_29 ),
inference(forward_demodulation,[],[f801,f188]) ).
thf(f801,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$false)))) )
| ( vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x)))))))))) != $false )
| ~ spl0_1
| ~ spl0_21
| ~ spl0_23 ),
inference(constrained_superposition,[],[f12,f191]) ).
thf(f1022,plain,
( ~ spl0_79
| spl0_88
| ~ spl0_1
| ~ spl0_27
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f803,f177,f168,f10,f1019,f960]) ).
thf(f803,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$false))) )
| ( vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x))))))))))) != $false )
| ~ spl0_1
| ~ spl0_27
| ~ spl0_29 ),
inference(constrained_superposition,[],[f12,f188]) ).
thf(f1015,plain,
( spl0_85
| spl0_30
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f810,f10,f181,f996]) ).
thf(f810,plain,
( ( $true = vAPP($o,$o,f0,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x)))))))))))))) = $false )
| ~ spl0_1 ),
inference(superposition,[],[f12,f4]) ).
thf(f1012,plain,
( spl0_83
| spl0_87
| spl0_30
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f817,f10,f181,f1009,f987]) ).
thf(f817,plain,
( ( $true = vAPP($o,$o,f0,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x))))))))))))) = $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x)))))))))))))) = $true )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[],[f809]) ).
thf(f809,plain,
( ( $true = vAPP($o,$o,f0,$true) )
| ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x))))))))))))) != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x)))))))))))))) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f12,f12]) ).
thf(f994,plain,
( spl0_83
| spl0_84
| spl0_62
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f819,f10,f739,f991,f987]) ).
thf(f819,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x)))))))))))) = $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x)))))))))))))) = $true )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[],[f806]) ).
thf(f806,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x)))))))))))) != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x)))))))))))))) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f12,f12]) ).
thf(f981,plain,
( spl0_81
| spl0_82
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f804,f10,f978,f974]) ).
thf(f804,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x)))))))))))) = $false )
| ~ spl0_1 ),
inference(superposition,[],[f12,f4]) ).
thf(f967,plain,
( spl0_79
| spl0_80
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f802,f10,f964,f960]) ).
thf(f802,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x))))))))))) = $false )
| ~ spl0_1 ),
inference(superposition,[],[f12,f4]) ).
thf(f952,plain,
( spl0_77
| spl0_78
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f800,f10,f949,f945]) ).
thf(f800,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))))) )
| ( vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x)))))))))) = $false )
| ~ spl0_1 ),
inference(superposition,[],[f12,f4]) ).
thf(f936,plain,
( spl0_75
| spl0_76
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f798,f10,f933,f929]) ).
thf(f798,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true)))))) )
| ( vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x))))))))) = $false )
| ~ spl0_1 ),
inference(superposition,[],[f12,f4]) ).
thf(f919,plain,
( spl0_73
| spl0_74
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f796,f10,f916,f912]) ).
thf(f796,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))))))) )
| ( vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x)))))))) = $false )
| ~ spl0_1 ),
inference(superposition,[],[f12,f4]) ).
thf(f901,plain,
( spl0_71
| spl0_72
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f794,f10,f898,f894]) ).
thf(f794,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$true)))))))) )
| ( vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x))))))) = $false )
| ~ spl0_1 ),
inference(superposition,[],[f12,f4]) ).
thf(f882,plain,
( spl0_69
| spl0_70
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f792,f10,f879,f875]) ).
thf(f792,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))))))))) )
| ( vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x)))))) = $false )
| ~ spl0_1 ),
inference(superposition,[],[f12,f4]) ).
thf(f862,plain,
( spl0_67
| spl0_68
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f790,f10,f859,f855]) ).
thf(f790,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$true)))))))))) )
| ( vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x))))) = $false )
| ~ spl0_1 ),
inference(superposition,[],[f12,f4]) ).
thf(f841,plain,
( spl0_65
| spl0_66
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f788,f10,f838,f834]) ).
thf(f788,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$true))))))))))) )
| ( vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x)))) = $false )
| ~ spl0_1 ),
inference(superposition,[],[f12,f4]) ).
thf(f832,plain,
( spl0_64
| spl0_61
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f787,f10,f725,f829]) ).
thf(f787,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,$true)))))))))))) )
| ( vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x))) = $false )
| ~ spl0_1 ),
inference(superposition,[],[f12,f4]) ).
thf(f655,plain,
( spl0_50
| ~ spl0_51
| spl0_3
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f579,f69,f19,f458,f454]) ).
thf(f579,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,$false))))))))))) )
| spl0_3
| ~ spl0_5 ),
inference(superposition,[],[f528,f4]) ).
thf(f528,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,$false))))))))))))))) )
| spl0_3
| ~ spl0_5 ),
inference(forward_demodulation,[],[f20,f71]) ).
thf(f642,plain,
( spl0_46
| ~ spl0_47
| spl0_3
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f575,f69,f19,f433,f429]) ).
thf(f575,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,$true)))))) )
| ( $false = vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,$false))))))))) )
| spl0_3
| ~ spl0_5 ),
inference(superposition,[],[f528,f4]) ).
thf(f634,plain,
( spl0_44
| ~ spl0_45
| spl0_3
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f573,f69,f19,f419,f415]) ).
thf(f573,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))))))) )
| ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,$false)))))))) )
| spl0_3
| ~ spl0_5 ),
inference(superposition,[],[f528,f4]) ).
thf(f592,plain,
( spl0_35
| ~ spl0_36
| spl0_3
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f565,f69,f19,f349,f345]) ).
thf(f565,plain,
( ( $false != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,$true))))))))))) )
| ( $false = vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,$false)))) )
| spl0_3
| ~ spl0_5 ),
inference(superposition,[],[f528,f4]) ).
thf(f510,plain,
( spl0_57
| spl0_56
| ~ spl0_3
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f314,f69,f19,f484,f490]) ).
thf(f314,plain,
( ( $false = vAPP($o,$o,f0,$true) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,$false)))))))))))))) )
| ~ spl0_3
| ~ spl0_5 ),
inference(superposition,[],[f272,f4]) ).
thf(f272,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,$false))))))))))))))) )
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_demodulation,[],[f21,f71]) ).
thf(f498,plain,
( spl0_58
| spl0_37
| ~ spl0_3
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f311,f69,f19,f362,f495]) ).
thf(f311,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,$true)) )
| ( $false = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,$false))))))))))))) )
| ~ spl0_3
| ~ spl0_5 ),
inference(superposition,[],[f272,f4]) ).
thf(f472,plain,
( spl0_52
| spl0_53
| ~ spl0_3
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f308,f69,f19,f469,f465]) ).
thf(f308,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,$true))) )
| ( $false = vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,$false)))))))))))) )
| ~ spl0_3
| ~ spl0_5 ),
inference(superposition,[],[f272,f4]) ).
thf(f461,plain,
( spl0_50
| spl0_51
| ~ spl0_3
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f306,f69,f19,f458,f454]) ).
thf(f306,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,$true)))) )
| ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,$false))))))))))) )
| ~ spl0_3
| ~ spl0_5 ),
inference(superposition,[],[f272,f4]) ).
thf(f449,plain,
( spl0_48
| spl0_49
| ~ spl0_3
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f304,f69,f19,f446,f442]) ).
thf(f304,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))))) )
| ( $false = vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,$false)))))))))) )
| ~ spl0_3
| ~ spl0_5 ),
inference(superposition,[],[f272,f4]) ).
thf(f422,plain,
( spl0_44
| spl0_45
| ~ spl0_3
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f300,f69,f19,f419,f415]) ).
thf(f300,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,$true))))))) )
| ( $false = vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,$false)))))))) )
| ~ spl0_3
| ~ spl0_5 ),
inference(superposition,[],[f272,f4]) ).
thf(f407,plain,
( spl0_42
| spl0_43
| ~ spl0_3
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f298,f69,f19,f404,f400]) ).
thf(f298,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,$true)))))))) )
| ( $false = vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,$false))))))) )
| ~ spl0_3
| ~ spl0_5 ),
inference(superposition,[],[f272,f4]) ).
thf(f391,plain,
( spl0_40
| spl0_41
| ~ spl0_3
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f296,f69,f19,f388,f384]) ).
thf(f296,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))))))))) )
| ( $false = vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,$false)))))) )
| ~ spl0_3
| ~ spl0_5 ),
inference(superposition,[],[f272,f4]) ).
thf(f374,plain,
( spl0_38
| spl0_39
| ~ spl0_3
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f294,f69,f19,f371,f367]) ).
thf(f294,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,$true)))))))))) )
| ( $false = vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,$false))))) )
| ~ spl0_3
| ~ spl0_5 ),
inference(superposition,[],[f272,f4]) ).
thf(f343,plain,
( spl0_33
| spl0_34
| ~ spl0_3
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f291,f69,f19,f340,f336]) ).
thf(f291,plain,
( ( $false = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,$true)))))))))))) )
| ( $false = vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,$false))) )
| ~ spl0_3
| ~ spl0_5 ),
inference(superposition,[],[f272,f4]) ).
thf(f187,plain,
( ~ spl0_1
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f186]) ).
thf(f186,plain,
( $false
| ~ spl0_1
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f185]) ).
thf(f185,plain,
( ( $true = $false )
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f12,f21]) ).
thf(f184,plain,
( spl0_29
| spl0_30
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f67,f14,f181,f177]) ).
thf(f67,plain,
( ( $true = vAPP($o,$o,f0,$true) )
| ( vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,x)))))))))))) = $false )
| ~ spl0_2 ),
inference(superposition,[],[f16,f4]) ).
thf(f175,plain,
( spl0_27
| spl0_28
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f66,f14,f172,f168]) ).
thf(f66,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,$true)) )
| ( vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,x))))))))))) = $false )
| ~ spl0_2 ),
inference(superposition,[],[f16,f4]) ).
thf(f166,plain,
( spl0_25
| spl0_26
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f65,f14,f163,f159]) ).
thf(f65,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,$true))) )
| ( vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,x)))))))))) = $false )
| ~ spl0_2 ),
inference(superposition,[],[f16,f4]) ).
thf(f157,plain,
( spl0_23
| spl0_24
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f64,f14,f154,f150]) ).
thf(f64,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,$true)))) )
| ( vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,x))))))))) = $false )
| ~ spl0_2 ),
inference(superposition,[],[f16,f4]) ).
thf(f148,plain,
( spl0_21
| spl0_22
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f63,f14,f145,f141]) ).
thf(f63,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,$true))))) )
| ( vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,x)))))))) = $false )
| ~ spl0_2 ),
inference(superposition,[],[f16,f4]) ).
thf(f139,plain,
( spl0_19
| spl0_20
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f62,f14,f136,f132]) ).
thf(f62,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,$true)))))) )
| ( vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,x))))))) = $false )
| ~ spl0_2 ),
inference(superposition,[],[f16,f4]) ).
thf(f130,plain,
( spl0_17
| spl0_18
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f61,f14,f127,f123]) ).
thf(f61,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,$true))))))) )
| ( vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,x)))))) = $false )
| ~ spl0_2 ),
inference(superposition,[],[f16,f4]) ).
thf(f121,plain,
( spl0_15
| spl0_16
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f60,f14,f118,f114]) ).
thf(f60,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,$true)))))))) )
| ( vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,x))))) = $false )
| ~ spl0_2 ),
inference(superposition,[],[f16,f4]) ).
thf(f112,plain,
( spl0_13
| spl0_14
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f59,f14,f109,f105]) ).
thf(f59,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,$true))))))))) )
| ( vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,x)))) = $false )
| ~ spl0_2 ),
inference(superposition,[],[f16,f4]) ).
thf(f103,plain,
( spl0_11
| spl0_12
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f58,f14,f100,f96]) ).
thf(f58,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,$true)))))))))) )
| ( vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,x))) = $false )
| ~ spl0_2 ),
inference(superposition,[],[f16,f4]) ).
thf(f94,plain,
( spl0_9
| spl0_10
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f57,f14,f91,f87]) ).
thf(f57,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,$true))))))))))) )
| ( vAPP($o,$o,f5,vAPP($o,$o,f6,x)) = $false )
| ~ spl0_2 ),
inference(superposition,[],[f16,f4]) ).
thf(f85,plain,
( spl0_7
| spl0_8
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f56,f14,f82,f78]) ).
thf(f56,plain,
( ( $true = vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,$true)))))))))))) )
| ( vAPP($o,$o,f6,x) = $false )
| ~ spl0_2 ),
inference(superposition,[],[f16,f4]) ).
thf(f26,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f8,f23,f19]) ).
thf(f8,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,x))))))))))))) = $false )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x))))))))))))))) = $false ) ),
inference(binary_proxy_clausification,[],[f6]) ).
thf(f6,plain,
vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,x))))))))))))) != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x))))))))))))))),
inference(cnf_transformation,[],[f5]) ).
thf(f5,plain,
vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,x))))))))))))) != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x))))))))))))))),
inference(flattening,[],[f2]) ).
thf(f2,negated_conjecture,
vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,x))))))))))))) != vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x))))))))))))))),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,x))))))))))))) = vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x))))))))))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kaminski7) ).
thf(f17,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f7,f14,f10]) ).
thf(f7,plain,
( ( vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f5,vAPP($o,$o,f6,x))))))))))))) = $true )
| ( vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f0,vAPP($o,$o,f1,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f2,vAPP($o,$o,f3,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f4,vAPP($o,$o,f5,vAPP($o,$o,f6,vAPP($o,$o,f6,vAPP($o,$o,f6,x))))))))))))))) = $true ) ),
inference(binary_proxy_clausification,[],[f6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SYO500^1.007 : TPTP v8.2.0. Released v4.1.0.
% 0.12/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.37 % Computer : n029.cluster.edu
% 0.13/0.37 % Model : x86_64 x86_64
% 0.13/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37 % Memory : 8042.1875MB
% 0.13/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.37 % CPULimit : 300
% 0.13/0.37 % WCLimit : 300
% 0.13/0.37 % DateTime : Mon May 20 10:10:08 EDT 2024
% 0.13/0.37 % CPUTime :
% 0.13/0.38 % (21911)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.38 % (21913)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.39 % Exception at run slice level
% 0.13/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.13/0.39 % (21917)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.13/0.39 % (21914)WARNING: value z3 for option sas not known
% 0.13/0.39 % (21918)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.13/0.39 % (21916)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.13/0.39 % (21918)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.13/0.39 % (21912)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.39 % (21914)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.39 % Exception at run slice level
% 0.13/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.13/0.39 % (21915)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.39 % Exception at run slice level
% 0.13/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.13/0.40 % (21919)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.13/0.40 % (21921)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on theBenchmark for (367ds/0Mi)
% 0.13/0.40 % (21919)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.13/0.40 % Exception at run slice level
% 0.13/0.40 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.13/0.41 % (21920)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on theBenchmark for (382ds/0Mi)
% 0.13/0.41 % (21920)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.13/0.42 % (21922)ott+4_64_acc=on:anc=none:bs=on:bsr=on:fsd=off:gs=on:gsem=off:irw=on:msp=off:nwc=2.5:nicw=on:sims=off_354 on theBenchmark for (354ds/0Mi)
% 13.49/2.31 % (21921)First to succeed.
% 13.99/2.39 % (21921)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-21911"
% 13.99/2.39 % (21921)Refutation found. Thanks to Tanya!
% 13.99/2.39 % SZS status Theorem for theBenchmark
% 13.99/2.39 % SZS output start Proof for theBenchmark
% See solution above
% 14.24/2.43 % (21921)------------------------------
% 14.24/2.43 % (21921)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 14.24/2.43 % (21921)Termination reason: Refutation
% 14.24/2.43
% 14.24/2.43 % (21921)Memory used [KB]: 16949
% 14.24/2.43 % (21921)Time elapsed: 1.988 s
% 14.24/2.43 % (21921)Instructions burned: 6341 (million)
% 14.24/2.43 % (21911)Success in time 2.039 s
%------------------------------------------------------------------------------