%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SYO529^1 : TPTP v9.2.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n025.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 : Wed Feb 25 09:54:28 AM UTC 2026
% Result : Unsatisfiable 30.35s 5.56s
% Output : Refutation 30.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 283
% Syntax : Number of formulae : 2333 ( 41 unt; 0 typ; 214 def)
% Number of atoms : 12300 (1961 equ; 0 cnn)
% Maximal formula atoms : 8 ( 5 avg)
% Number of connectives : 10381 (4184 ~;4422 |; 0 &;1561 @)
% ( 214 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 306 ( 303 usr; 288 con; 0-2 aty)
% Number of variables : 149 ( 0 ^; 149 !; 0 ?; 149 :)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_0,type,
eps1: ( $o > $o ) > $o ).
thf(func_def_2,type,
eps2: ( $o > $o ) > $o ).
thf(func_def_3,type,
eps3: ( $o > $o ) > $o ).
thf(func_def_4,type,
eps4: ( $o > $o ) > $o ).
thf(func_def_5,type,
eps5: ( $o > $o ) > $o ).
thf(func_def_6,type,
vEPSILON:
!>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).
thf(func_def_20,type,
ph1:
!>[X0: $tType] : X0 ).
thf(func_def_21,type,
sK2: $o > $o ).
thf(func_def_22,type,
sK3: $o > $o ).
thf(func_def_23,type,
sK4: $o > $o ).
thf(func_def_24,type,
sK5: $o > $o ).
thf(func_def_25,type,
sK6: $o > $o ).
thf(func_def_26,type,
sK7: $o > $o ).
thf(func_def_27,type,
sK8: $o > $o ).
thf(func_def_28,type,
sK9: $o > $o ).
thf(func_def_29,type,
sK10: $o > $o ).
thf(func_def_30,type,
sK11: $o > $o ).
thf(f22462,plain,
$false,
inference(avatar_sat_refutation,[status(thm)],[f113,f122,f123,f149,f157,f167,f172,f177,f203,f208,f225,f231,f235,f244,f270,f283,f288,f329,f338,f351,f352,f366,f380,f382,f391,f394,f404,f408,f426,f439,f449,f502,f511,f516,f517,f522,f550,f555,f560,f573,f608,f613,f618,f623,f641,f671,f676,f693,f694,f728,f733,f746,f803,f808,f849,f856,f947,f983,f996,f1006,f1012,f1024,f1030,f1200,f1205,f1226,f1287,f1299,f1326,f1329,f1347,f1397,f1403,f1496,f1501,f1506,f1511,f1514,f1546,f1552,f1560,f1568,f1649,f1672,f1738,f1847,f1852,f1855,f1859,f1865,f1878,f1893,f1968,f1980,f1996,f2073,f2082,f2098,f2108,f2168,f2184,f2187,f2221,f2231,f2342,f2361,f2368,f2369,f2386,f2424,f2432,f2569,f2763,f3010,f3135,f3137,f3146,f3163,f3167,f3481,f3582,f3720,f3748,f3752,f3756,f3788,f3793,f3796,f3892,f3923,f4013,f4023,f4045,f4076,f4114,f4124,f4154,f4175,f4179,f4208,f4247,f4254,f4274,f4294,f4298,f4507,f4510,f4588,f4806,f4844,f4846,f4855,f4881,f4890,f4905,f4928,f5044,f5119,f5141,f5179,f5206,f5345,f5359,f5438,f5440,f5454,f5480,f5484,f5503,f5508,f5569,f5571,f5611,f5621,f5622,f5715,f5965,f6073,f6091,f6094,f6125,f6129,f6132,f6137,f6150,f6158,f6353,f6376,f6379,f6713,f6848,f6854,f6862,f6864,f6976,f6979,f7033,f7286,f7291,f7303,f7304,f7314,f7315,f7325,f7339,f7348,f7350,f7363,f7390,f7411,f7414,f7428,f7451,f7454,f7459,f7463,f7471,f7523,f7570,f7641,f7963,f8045,f8114,f8121,f8297,f8299,f8301,f8339,f8663,f8711,f8723,f8748,f8919,f8933,f9026,f9072,f9081,f9121,f9138,f9173,f9182,f9189,f9215,f9222,f9341,f9472,f9675,f10001,f10023,f10024,f10040,f10067,f10108,f10139,f10170,f10178,f10204,f10210,f10224,f10227,f10232,f10261,f10293,f10455,f10460,f10474,f10476,f10520,f10582,f10676,f10799,f10801,f10872,f10920,f10935,f10942,f10946,f10956,f11003,f11079,f11087,f11101,f11644,f11654,f11658,f11678,f11721,f11723,f11732,f11748,f11768,f11778,f11817,f11833,f11866,f11871,f11918,f11928,f11934,f11969,f12011,f12102,f12105,f12122,f12125,f12135,f12159,f12190,f12243,f12245,f12258,f12267,f12661,f12863,f12980,f13157,f13391,f13394,f13420,f13654,f13673,f13714,f13790,f13978,f13996,f14012,f14013,f14025,f14133,f14138,f14321,f14326,f14334,f14347,f14426,f14456,f14462,f14474,f14492,f14909,f14924,f14940,f14980,f14990,f15020,f15040,f15060,f15079,f15095,f15099,f15113,f15201,f15224,f15265,f15270,f15294,f15344,f15380,f15388,f15397,f15403,f15408,f15414,f15425,f15446,f15482,f15493,f15498,f15503,f15514,f15516,f15530,f15557,f15598,f15621,f15659,f15663,f15671,f15672,f15679,f15688,f15695,f15697,f15727,f15731,f15758,f15762,f15769,f15774,f15789,f15795,f15807,f15819,f15828,f15843,f15855,f15861,f15870,f15891,f15901,f15907,f15912,f15923,f15936,f16062,f16068,f16080,f16082,f16090,f16100,f16112,f16140,f16143,f16151,f16153,f16159,f16163,f16166,f16191,f16202,f16227,f16253,f16261,f16271,f16273,f16305,f16311,f16347,f16349,f16364,f16398,f16402,f16439,f16475,f16495,f16586,f16639,f17028,f17454,f17472,f17487,f17503,f17507,f17509,f17516,f17519,f17528,f17547,f17675,f17693,f17695,f17709,f17730,f17749,f18195,f18206,f18327,f18345,f18451,f18461,f18557,f18579,f18761,f18776,f18949,f18964,f18968,f18969,f18971,f18972,f18977,f19346,f19354,f19373,f19388,f19392,f19629,f19637,f19661,f19665,f19894,f19906,f19928,f19942,f19950,f19962,f19965,f19970,f20006,f20023,f20042,f20062,f20070,f20073,f20077,f20085,f20088,f20097,f20099,f20113,f20120,f20122,f20139,f20615,f20760,f20773,f20803,f20810,f20812,f20820,f20831,f20844,f20861,f20865,f20880,f20891,f20909,f20920,f20926,f20930,f20932,f20964,f20987,f21002,f21003,f21043,f21044,f21051,f21053,f21317,f21598,f21610,f21613,f21622,f21636,f21641,f21643,f21647,f21657,f21681,f21683,f21686,f21688,f21691,f21702,f21707,f21711,f21717,f21722,f21753,f21757,f21798,f21997,f22441,f22453]) ).
thf(f22453,plain,
( spl0_38
| ~ spl0_53
| ~ spl0_92
| ~ spl0_233
| ~ spl0_370 ),
inference(avatar_contradiction_clause,[status(thm)],[f22452]) ).
thf(f22452,plain,
( $false
| spl0_38
| ~ spl0_53
| ~ spl0_92
| ~ spl0_233
| ~ spl0_370 ),
inference(subsumption_resolution,[status(thm)],[f22451,f1011]) ).
thf(f1011,plain,
( ( ( sK6 @ $false )
= $true )
| ~ spl0_92 ),
inference(avatar_component_clause,[status(thm)],[f1009]) ).
thf(f1009,definition,
( spl0_92
<=> ( ( sK6 @ $false )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl0_92])],[avatar_definition]) ).
thf(f22451,plain,
( ( ( sK6 @ $false )
!= $true )
| spl0_38
| ~ spl0_53
| ~ spl0_233
| ~ spl0_370 ),
inference(forward_demodulation,[status(thm)],[f22450,f7398]) ).
thf(f7398,plain,
( ( $true
= ( sK7 @ $false ) )
| ~ spl0_233 ),
inference(avatar_component_clause,[status(thm)],[f7396]) ).
thf(f7396,definition,
( spl0_233
<=> ( $true
= ( sK7 @ $false ) ) ),
introduced(definition,[new_symbols(naming,[spl0_233])],[avatar_definition]) ).
thf(f22450,plain,
( ( ( sK6 @ $false )
!= ( sK7 @ $false ) )
| spl0_38
| ~ spl0_53
| ~ spl0_370 ),
inference(forward_demodulation,[status(thm)],[f22286,f22413]) ).
thf(f22413,plain,
( ( $false = sK179 )
| ~ spl0_370 ),
inference(avatar_component_clause,[status(thm)],[f22412]) ).
thf(f22412,definition,
( spl0_370
<=> ( $false = sK179 ) ),
introduced(definition,[new_symbols(naming,[spl0_370])],[avatar_definition]) ).
thf(f22286,plain,
( ( ( sK6 @ sK179 )
!= ( sK7 @ sK179 ) )
| spl0_38
| ~ spl0_53 ),
inference(negative_extensionality,[status(thm)],[f22281]) ).
thf(f22281,plain,
( ( sK6 != sK7 )
| spl0_38
| ~ spl0_53 ),
inference(trivial_inequality_removal,[status(thm)],[f22277]) ).
thf(f22277,plain,
( ( sK6 != sK7 )
| ( $false != $false )
| spl0_38
| ~ spl0_53 ),
inference(constrained_superposition,[status(thm)],[f420,f509]) ).
thf(f509,plain,
( ( ( eps3 @ sK7 )
= $false )
| ~ spl0_53 ),
inference(avatar_component_clause,[status(thm)],[f508]) ).
thf(f508,definition,
( spl0_53
<=> ( ( eps3 @ sK7 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_53])],[avatar_definition]) ).
thf(f420,plain,
( ( ( eps3 @ sK6 )
!= $false )
| spl0_38 ),
inference(avatar_component_clause,[status(thm)],[f419]) ).
thf(f419,definition,
( spl0_38
<=> ( ( eps3 @ sK6 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_38])],[avatar_definition]) ).
thf(f22441,plain,
( spl0_370
| spl0_38
| ~ spl0_53
| ~ spl0_93
| ~ spl0_120 ),
inference(avatar_split_clause,[status(thm)],[f22440,f1517,f1017,f508,f419,f22412]) ).
thf(f1017,definition,
( spl0_93
<=> ( $true
= ( sK6 @ $true ) ) ),
introduced(definition,[new_symbols(naming,[spl0_93])],[avatar_definition]) ).
thf(f1517,definition,
( spl0_120
<=> ( $true
= ( sK7 @ $true ) ) ),
introduced(definition,[new_symbols(naming,[spl0_120])],[avatar_definition]) ).
thf(f22440,plain,
( ( $false = sK179 )
| spl0_38
| ~ spl0_53
| ~ spl0_93
| ~ spl0_120 ),
inference(subsumption_resolution,[status(thm)],[f22439,f1019]) ).
thf(f1019,plain,
( ( $true
= ( sK6 @ $true ) )
| ~ spl0_93 ),
inference(avatar_component_clause,[status(thm)],[f1017]) ).
thf(f22439,plain,
( ( $true
!= ( sK6 @ $true ) )
| ( $false = sK179 )
| spl0_38
| ~ spl0_53
| ~ spl0_120 ),
inference(forward_demodulation,[status(thm)],[f22407,f1519]) ).
thf(f1519,plain,
( ( $true
= ( sK7 @ $true ) )
| ~ spl0_120 ),
inference(avatar_component_clause,[status(thm)],[f1517]) ).
thf(f22407,plain,
( ( $false = sK179 )
| ( ( sK6 @ $true )
!= ( sK7 @ $true ) )
| spl0_38
| ~ spl0_53 ),
inference(fool_paramodulation,[status(thm)],[f22286]) ).
thf(f21997,plain,
( ~ spl0_87
| ~ spl0_158
| spl0_310 ),
inference(avatar_contradiction_clause,[status(thm)],[f21996]) ).
thf(f21996,plain,
( $false
| ~ spl0_87
| ~ spl0_158
| spl0_310 ),
inference(subsumption_resolution,[status(thm)],[f21985,f21988]) ).
thf(f21988,plain,
( ( $false = sK159 )
| ~ spl0_158
| spl0_310 ),
inference(subsumption_resolution,[status(thm)],[f21979,f2365]) ).
thf(f2365,plain,
( ( $true
= ( sK8 @ $true ) )
| ~ spl0_158 ),
inference(avatar_component_clause,[status(thm)],[f2363]) ).
thf(f2363,definition,
( spl0_158
<=> ( $true
= ( sK8 @ $true ) ) ),
introduced(definition,[new_symbols(naming,[spl0_158])],[avatar_definition]) ).
thf(f21979,plain,
( ( $true
!= ( sK8 @ $true ) )
| ( $false = sK159 )
| spl0_310 ),
inference(fool_paramodulation,[status(thm)],[f18316]) ).
thf(f18316,plain,
( ( $true
!= ( sK8 @ sK159 ) )
| spl0_310 ),
inference(avatar_component_clause,[status(thm)],[f18315]) ).
thf(f18315,definition,
( spl0_310
<=> ( $true
= ( sK8 @ sK159 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_310])],[avatar_definition]) ).
thf(f21985,plain,
( ( $false != sK159 )
| ~ spl0_87
| spl0_310 ),
inference(trivial_inequality_removal,[status(thm)],[f21983]) ).
thf(f21983,plain,
( ( $true != $true )
| ( $false != sK159 )
| ~ spl0_87
| spl0_310 ),
inference(constrained_superposition,[status(thm)],[f18316,f855]) ).
thf(f855,plain,
( ( $true
= ( sK8 @ $false ) )
| ~ spl0_87 ),
inference(avatar_component_clause,[status(thm)],[f853]) ).
thf(f853,definition,
( spl0_87
<=> ( $true
= ( sK8 @ $false ) ) ),
introduced(definition,[new_symbols(naming,[spl0_87])],[avatar_definition]) ).
thf(f21798,plain,
( ~ spl0_77
| ~ spl0_76 ),
inference(avatar_split_clause,[status(thm)],[f21797,f686,f690]) ).
thf(f690,definition,
( spl0_77
<=> ( ( eps3 @ sK10 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_77])],[avatar_definition]) ).
thf(f686,definition,
( spl0_76
<=> ( ( eps2 @ sK10 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_76])],[avatar_definition]) ).
thf(f21797,plain,
( ( ( eps3 @ sK10 )
!= $false )
| ~ spl0_76 ),
inference(forward_demodulation,[status(thm)],[f85,f688]) ).
thf(f688,plain,
( ( ( eps2 @ sK10 )
= $false )
| ~ spl0_76 ),
inference(avatar_component_clause,[status(thm)],[f686]) ).
thf(f85,plain,
( ( eps3 @ sK10 )
!= ( eps2 @ sK10 ) ),
inference(negative_extensionality,[status(thm)],[f48]) ).
thf(f48,plain,
eps2 != eps3,
inference(cnf_transformation,[status(thm)],[f28]) ).
thf(f28,plain,
eps2 != eps3,
inference(fool_elimination,[status(thm)],[f10]) ).
thf(f10,axiom,
eps2 != eps3,
file('/export/starexec/sandbox2/tmp/tmp.2wiz2zWszC/DTF2THF_5231.p',choiceax23) ).
thf(f21757,plain,
( ~ spl0_61
| ~ spl0_23
| spl0_143 ),
inference(avatar_split_clause,[status(thm)],[f21756,f1965,f257,f570]) ).
thf(f570,definition,
( spl0_61
<=> ( sK8 = sK2 ) ),
introduced(definition,[new_symbols(naming,[spl0_61])],[avatar_definition]) ).
thf(f257,definition,
( spl0_23
<=> ( sK3 = sK2 ) ),
introduced(definition,[new_symbols(naming,[spl0_23])],[avatar_definition]) ).
thf(f1965,definition,
( spl0_143
<=> ( sK8 = sK3 ) ),
introduced(definition,[new_symbols(naming,[spl0_143])],[avatar_definition]) ).
thf(f21756,plain,
( ( sK8 != sK2 )
| ~ spl0_23
| spl0_143 ),
inference(forward_demodulation,[status(thm)],[f1967,f258]) ).
thf(f258,plain,
( ( sK3 = sK2 )
| ~ spl0_23 ),
inference(avatar_component_clause,[status(thm)],[f257]) ).
thf(f1967,plain,
( ( sK8 != sK3 )
| spl0_143 ),
inference(avatar_component_clause,[status(thm)],[f1965]) ).
thf(f21753,plain,
( ~ spl0_18
| ~ spl0_345 ),
inference(avatar_contradiction_clause,[status(thm)],[f21752]) ).
thf(f21752,plain,
( $false
| ~ spl0_18
| ~ spl0_345 ),
inference(trivial_inequality_removal,[status(thm)],[f21751]) ).
thf(f21751,plain,
( ( $true = $false )
| ~ spl0_18
| ~ spl0_345 ),
inference(backward_demodulation,[status(thm)],[f19883,f211]) ).
thf(f211,plain,
( ! [X1: $o] :
( ( sK4 @ X1 )
= $false )
| ~ spl0_18 ),
inference(avatar_component_clause,[status(thm)],[f210]) ).
thf(f210,definition,
( spl0_18
<=> ! [X1: $o] :
( ( sK4 @ X1 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_18])],[avatar_definition]) ).
thf(f19883,plain,
( ( $true
= ( sK4 @ sK167 ) )
| ~ spl0_345 ),
inference(avatar_component_clause,[status(thm)],[f19882]) ).
thf(f19882,definition,
( spl0_345
<=> ( $true
= ( sK4 @ sK167 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_345])],[avatar_definition]) ).
thf(f21722,plain,
( ~ spl0_7
| ~ spl0_128
| ~ spl0_134 ),
inference(avatar_split_clause,[status(thm)],[f21721,f1766,f1721,f119]) ).
thf(f119,definition,
( spl0_7
<=> ( $true
= ( eps4 @ sK2 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_7])],[avatar_definition]) ).
thf(f1721,definition,
( spl0_128
<=> ( sK2 = sK5 ) ),
introduced(definition,[new_symbols(naming,[spl0_128])],[avatar_definition]) ).
thf(f1766,definition,
( spl0_134
<=> ( ( eps5 @ sK2 )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl0_134])],[avatar_definition]) ).
thf(f21721,plain,
( ( $true
!= ( eps4 @ sK2 ) )
| ~ spl0_128
| ~ spl0_134 ),
inference(forward_demodulation,[status(thm)],[f21720,f1768]) ).
thf(f1768,plain,
( ( ( eps5 @ sK2 )
= $true )
| ~ spl0_134 ),
inference(avatar_component_clause,[status(thm)],[f1766]) ).
thf(f21720,plain,
( ( ( eps5 @ sK2 )
!= ( eps4 @ sK2 ) )
| ~ spl0_128 ),
inference(forward_demodulation,[status(thm)],[f80,f1722]) ).
thf(f1722,plain,
( ( sK2 = sK5 )
| ~ spl0_128 ),
inference(avatar_component_clause,[status(thm)],[f1721]) ).
thf(f80,plain,
( ( eps4 @ sK5 )
!= ( eps5 @ sK5 ) ),
inference(negative_extensionality,[status(thm)],[f43]) ).
thf(f43,plain,
eps4 != eps5,
inference(cnf_transformation,[status(thm)],[f30]) ).
thf(f30,plain,
eps4 != eps5,
inference(fool_elimination,[status(thm)],[f15]) ).
thf(f15,axiom,
eps4 != eps5,
file('/export/starexec/sandbox2/tmp/tmp.2wiz2zWszC/DTF2THF_5231.p',choiceax45) ).
thf(f21717,plain,
( spl0_24
| ~ spl0_14
| ~ spl0_23 ),
inference(avatar_split_clause,[status(thm)],[f21716,f257,f169,f261]) ).
thf(f261,definition,
( spl0_24
<=> ( ( eps3 @ sK2 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_24])],[avatar_definition]) ).
thf(f169,definition,
( spl0_14
<=> ( ( eps3 @ sK3 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_14])],[avatar_definition]) ).
thf(f21716,plain,
( ( ( eps3 @ sK2 )
= $false )
| ~ spl0_14
| ~ spl0_23 ),
inference(forward_demodulation,[status(thm)],[f171,f258]) ).
thf(f171,plain,
( ( ( eps3 @ sK3 )
= $false )
| ~ spl0_14 ),
inference(avatar_component_clause,[status(thm)],[f169]) ).
thf(f21711,plain,
( ~ spl0_7
| ~ spl0_6 ),
inference(avatar_split_clause,[status(thm)],[f21710,f115,f119]) ).
thf(f115,definition,
( spl0_6
<=> ( ( eps2 @ sK2 )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl0_6])],[avatar_definition]) ).
thf(f21710,plain,
( ( $true
!= ( eps4 @ sK2 ) )
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f77,f117]) ).
thf(f117,plain,
( ( ( eps2 @ sK2 )
= $true )
| ~ spl0_6 ),
inference(avatar_component_clause,[status(thm)],[f115]) ).
thf(f77,plain,
( ( eps2 @ sK2 )
!= ( eps4 @ sK2 ) ),
inference(negative_extensionality,[status(thm)],[f38]) ).
thf(f38,plain,
eps2 != eps4,
inference(cnf_transformation,[status(thm)],[f29]) ).
thf(f29,plain,
eps2 != eps4,
inference(fool_elimination,[status(thm)],[f11]) ).
thf(f11,axiom,
eps2 != eps4,
file('/export/starexec/sandbox2/tmp/tmp.2wiz2zWszC/DTF2THF_5231.p',choiceax24) ).
thf(f21707,plain,
( spl0_110
| ~ spl0_72
| ~ spl0_74 ),
inference(avatar_split_clause,[status(thm)],[f21706,f678,f668,f1340]) ).
thf(f1340,definition,
( spl0_110
<=> ( $true
= ( sK10 @ $true ) ) ),
introduced(definition,[new_symbols(naming,[spl0_110])],[avatar_definition]) ).
thf(f668,definition,
( spl0_72
<=> ( ( eps3 @ sK10 )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl0_72])],[avatar_definition]) ).
thf(f678,definition,
( spl0_74
<=> ( $true
= ( sK10 @ ( eps3 @ sK10 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_74])],[avatar_definition]) ).
thf(f21706,plain,
( ( $true
= ( sK10 @ $true ) )
| ~ spl0_72
| ~ spl0_74 ),
inference(forward_demodulation,[status(thm)],[f680,f670]) ).
thf(f670,plain,
( ( ( eps3 @ sK10 )
= $true )
| ~ spl0_72 ),
inference(avatar_component_clause,[status(thm)],[f668]) ).
thf(f680,plain,
( ( $true
= ( sK10 @ ( eps3 @ sK10 ) ) )
| ~ spl0_74 ),
inference(avatar_component_clause,[status(thm)],[f678]) ).
thf(f21702,plain,
( spl0_134
| ~ spl0_8
| ~ spl0_23 ),
inference(avatar_split_clause,[status(thm)],[f21701,f257,f142,f1766]) ).
thf(f142,definition,
( spl0_8
<=> ( $true
= ( eps5 @ sK3 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_8])],[avatar_definition]) ).
thf(f21701,plain,
( ( ( eps5 @ sK2 )
= $true )
| ~ spl0_8
| ~ spl0_23 ),
inference(forward_demodulation,[status(thm)],[f144,f258]) ).
thf(f144,plain,
( ( $true
= ( eps5 @ sK3 ) )
| ~ spl0_8 ),
inference(avatar_component_clause,[status(thm)],[f142]) ).
thf(f21691,plain,
( ~ spl0_4
| ~ spl0_23
| spl0_224 ),
inference(avatar_split_clause,[status(thm)],[f21690,f7046,f257,f106]) ).
thf(f106,definition,
( spl0_4
<=> ( ( eps2 @ sK2 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_4])],[avatar_definition]) ).
thf(f7046,definition,
( spl0_224
<=> ( $false
= ( eps2 @ sK3 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_224])],[avatar_definition]) ).
thf(f21690,plain,
( ( ( eps2 @ sK2 )
!= $false )
| ~ spl0_23
| spl0_224 ),
inference(forward_demodulation,[status(thm)],[f7048,f258]) ).
thf(f7048,plain,
( ( $false
!= ( eps2 @ sK3 ) )
| spl0_224 ),
inference(avatar_component_clause,[status(thm)],[f7046]) ).
thf(f21688,plain,
( spl0_87
| spl0_59
| ~ spl0_56 ),
inference(avatar_split_clause,[status(thm)],[f19978,f547,f562,f853]) ).
thf(f562,definition,
( spl0_59
<=> ! [X1: $o] :
( ( sK8 @ X1 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_59])],[avatar_definition]) ).
thf(f547,definition,
( spl0_56
<=> ( ( eps1 @ sK8 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_56])],[avatar_definition]) ).
thf(f19978,plain,
( ! [X1: $o] :
( ( ( sK8 @ X1 )
= $false )
| ( $true
= ( sK8 @ $false ) ) )
| ~ spl0_56 ),
inference(forward_demodulation,[status(thm)],[f19274,f549]) ).
thf(f549,plain,
( ( ( eps1 @ sK8 )
= $false )
| ~ spl0_56 ),
inference(avatar_component_clause,[status(thm)],[f547]) ).
thf(f19274,plain,
! [X1: $o] :
( ( ( sK8 @ X1 )
= $false )
| ( $true
= ( sK8 @ ( eps1 @ sK8 ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f21686,plain,
( spl0_158
| spl0_59
| ~ spl0_58 ),
inference(avatar_split_clause,[status(thm)],[f20370,f557,f562,f2363]) ).
thf(f557,definition,
( spl0_58
<=> ( $true
= ( eps4 @ sK8 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_58])],[avatar_definition]) ).
thf(f20370,plain,
( ! [X1: $o] :
( ( ( sK8 @ X1 )
= $false )
| ( $true
= ( sK8 @ $true ) ) )
| ~ spl0_58 ),
inference(forward_demodulation,[status(thm)],[f20362,f559]) ).
thf(f559,plain,
( ( $true
= ( eps4 @ sK8 ) )
| ~ spl0_58 ),
inference(avatar_component_clause,[status(thm)],[f557]) ).
thf(f20362,plain,
! [X1: $o] :
( ( $true
= ( sK8 @ ( eps4 @ sK8 ) ) )
| ( ( sK8 @ X1 )
= $false ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f21683,plain,
( spl0_5
| ~ spl0_29
| ~ spl0_128 ),
inference(avatar_split_clause,[status(thm)],[f21682,f1721,f322,f110]) ).
thf(f110,definition,
( spl0_5
<=> ( ( eps4 @ sK2 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_5])],[avatar_definition]) ).
thf(f322,definition,
( spl0_29
<=> ( ( eps4 @ sK5 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_29])],[avatar_definition]) ).
thf(f21682,plain,
( ( ( eps4 @ sK2 )
= $false )
| ~ spl0_29
| ~ spl0_128 ),
inference(forward_demodulation,[status(thm)],[f323,f1722]) ).
thf(f323,plain,
( ( ( eps4 @ sK5 )
= $false )
| ~ spl0_29 ),
inference(avatar_component_clause,[status(thm)],[f322]) ).
thf(f21681,plain,
( spl0_18
| spl0_94
| ~ spl0_15 ),
inference(avatar_split_clause,[status(thm)],[f21680,f196,f1037,f210]) ).
thf(f1037,definition,
( spl0_94
<=> ( $true
= ( sK4 @ $true ) ) ),
introduced(definition,[new_symbols(naming,[spl0_94])],[avatar_definition]) ).
thf(f196,definition,
( spl0_15
<=> ( $true
= ( eps2 @ sK4 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_15])],[avatar_definition]) ).
thf(f21680,plain,
( ! [X1: $o] :
( ( ( sK4 @ X1 )
= $false )
| ( $true
= ( sK4 @ $true ) ) )
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f18043,f198]) ).
thf(f198,plain,
( ( $true
= ( eps2 @ sK4 ) )
| ~ spl0_15 ),
inference(avatar_component_clause,[status(thm)],[f196]) ).
thf(f18043,plain,
! [X1: $o] :
( ( ( sK4 @ X1 )
= $false )
| ( $true
= ( sK4 @ ( eps2 @ sK4 ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f21657,plain,
( ~ spl0_7
| spl0_31
| ~ spl0_128 ),
inference(avatar_split_clause,[status(thm)],[f21656,f1721,f331,f119]) ).
thf(f331,definition,
( spl0_31
<=> ( ( eps4 @ sK5 )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl0_31])],[avatar_definition]) ).
thf(f21656,plain,
( ( $true
!= ( eps4 @ sK2 ) )
| spl0_31
| ~ spl0_128 ),
inference(forward_demodulation,[status(thm)],[f332,f1722]) ).
thf(f332,plain,
( ( ( eps4 @ sK5 )
!= $true )
| spl0_31 ),
inference(avatar_component_clause,[status(thm)],[f331]) ).
thf(f21647,plain,
( ~ spl0_25
| ~ spl0_17
| ~ spl0_23
| spl0_308 ),
inference(avatar_split_clause,[status(thm)],[f21646,f18188,f257,f205,f267]) ).
thf(f267,definition,
( spl0_25
<=> ( ( eps5 @ sK2 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_25])],[avatar_definition]) ).
thf(f205,definition,
( spl0_17
<=> ( sK4 = sK2 ) ),
introduced(definition,[new_symbols(naming,[spl0_17])],[avatar_definition]) ).
thf(f18188,definition,
( spl0_308
<=> ( ( eps5 @ sK4 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_308])],[avatar_definition]) ).
thf(f21646,plain,
( ( ( eps5 @ sK2 )
!= $false )
| ( sK4 != sK2 )
| ~ spl0_23
| spl0_308 ),
inference(forward_demodulation,[status(thm)],[f21533,f258]) ).
thf(f21533,plain,
( ( sK4 != sK3 )
| ( ( eps5 @ sK2 )
!= $false )
| ~ spl0_23
| spl0_308 ),
inference(constrained_superposition,[status(thm)],[f18190,f258]) ).
thf(f18190,plain,
( ( ( eps5 @ sK4 )
!= $false )
| spl0_308 ),
inference(avatar_component_clause,[status(thm)],[f18188]) ).
thf(f21643,plain,
( spl0_134
| ~ spl0_17
| ~ spl0_128
| ~ spl0_305 ),
inference(avatar_split_clause,[status(thm)],[f21642,f18086,f1721,f205,f1766]) ).
thf(f18086,definition,
( spl0_305
<=> ( $true
= ( eps5 @ sK4 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_305])],[avatar_definition]) ).
thf(f21642,plain,
( ( sK4 != sK2 )
| ( ( eps5 @ sK2 )
= $true )
| ~ spl0_128
| ~ spl0_305 ),
inference(forward_demodulation,[status(thm)],[f21503,f1722]) ).
thf(f21503,plain,
( ( ( eps5 @ sK2 )
= $true )
| ( sK4 != sK5 )
| ~ spl0_128
| ~ spl0_305 ),
inference(constrained_superposition,[status(thm)],[f18088,f1722]) ).
thf(f18088,plain,
( ( $true
= ( eps5 @ sK4 ) )
| ~ spl0_305 ),
inference(avatar_component_clause,[status(thm)],[f18086]) ).
thf(f21641,plain,
( ~ spl0_25
| spl0_13
| ~ spl0_23 ),
inference(avatar_split_clause,[status(thm)],[f21640,f257,f164,f267]) ).
thf(f164,definition,
( spl0_13
<=> ( $false
= ( eps5 @ sK3 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_13])],[avatar_definition]) ).
thf(f21640,plain,
( ( ( eps5 @ sK2 )
!= $false )
| spl0_13
| ~ spl0_23 ),
inference(forward_demodulation,[status(thm)],[f165,f258]) ).
thf(f165,plain,
( ( $false
!= ( eps5 @ sK3 ) )
| spl0_13 ),
inference(avatar_component_clause,[status(thm)],[f164]) ).
thf(f21636,plain,
( spl0_5
| ~ spl0_23
| ~ spl0_147 ),
inference(avatar_split_clause,[status(thm)],[f21635,f2000,f257,f110]) ).
thf(f2000,definition,
( spl0_147
<=> ( ( eps4 @ sK3 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_147])],[avatar_definition]) ).
thf(f21635,plain,
( ( ( eps4 @ sK2 )
= $false )
| ~ spl0_23
| ~ spl0_147 ),
inference(forward_demodulation,[status(thm)],[f2002,f258]) ).
thf(f2002,plain,
( ( ( eps4 @ sK3 )
= $false )
| ~ spl0_147 ),
inference(avatar_component_clause,[status(thm)],[f2000]) ).
thf(f21622,plain,
( spl0_21
| ~ spl0_84
| ~ spl0_309 ),
inference(avatar_contradiction_clause,[status(thm)],[f21621]) ).
thf(f21621,plain,
( $false
| spl0_21
| ~ spl0_84
| ~ spl0_309 ),
inference(subsumption_resolution,[status(thm)],[f21620,f223]) ).
thf(f223,plain,
( ( ( eps1 @ sK4 )
!= $false )
| spl0_21 ),
inference(avatar_component_clause,[status(thm)],[f222]) ).
thf(f222,definition,
( spl0_21
<=> ( ( eps1 @ sK4 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_21])],[avatar_definition]) ).
thf(f21620,plain,
( ( ( eps1 @ sK4 )
= $false )
| ~ spl0_84
| ~ spl0_309 ),
inference(backward_demodulation,[status(thm)],[f745,f18193]) ).
thf(f18193,plain,
( ( sK11 = sK4 )
| ~ spl0_309 ),
inference(avatar_component_clause,[status(thm)],[f18192]) ).
thf(f18192,definition,
( spl0_309
<=> ( sK11 = sK4 ) ),
introduced(definition,[new_symbols(naming,[spl0_309])],[avatar_definition]) ).
thf(f745,plain,
( ( ( eps1 @ sK11 )
= $false )
| ~ spl0_84 ),
inference(avatar_component_clause,[status(thm)],[f743]) ).
thf(f743,definition,
( spl0_84
<=> ( ( eps1 @ sK11 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_84])],[avatar_definition]) ).
thf(f21613,plain,
( ~ spl0_79
| ~ spl0_84 ),
inference(avatar_split_clause,[status(thm)],[f21612,f743,f721]) ).
thf(f721,definition,
( spl0_79
<=> ( ( eps5 @ sK11 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_79])],[avatar_definition]) ).
thf(f21612,plain,
( ( ( eps5 @ sK11 )
!= $false )
| ~ spl0_84 ),
inference(forward_demodulation,[status(thm)],[f86,f745]) ).
thf(f86,plain,
( ( eps5 @ sK11 )
!= ( eps1 @ sK11 ) ),
inference(negative_extensionality,[status(thm)],[f50]) ).
thf(f50,plain,
eps1 != eps5,
inference(cnf_transformation,[status(thm)],[f31]) ).
thf(f31,plain,
eps1 != eps5,
inference(fool_elimination,[status(thm)],[f9]) ).
thf(f9,axiom,
eps1 != eps5,
file('/export/starexec/sandbox2/tmp/tmp.2wiz2zWszC/DTF2THF_5231.p',choiceax15) ).
thf(f21610,plain,
( spl0_83
| spl0_86 ),
inference(avatar_split_clause,[status(thm)],[f21391,f753,f739]) ).
thf(f739,definition,
( spl0_83
<=> ! [X1: $o] :
( $false
= ( sK11 @ X1 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_83])],[avatar_definition]) ).
thf(f753,definition,
( spl0_86
<=> ( $true
= ( sK11 @ ( eps5 @ sK11 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_86])],[avatar_definition]) ).
thf(f21391,plain,
! [X1: $o] :
( ( $true
= ( sK11 @ ( eps5 @ sK11 ) ) )
| ( $false
= ( sK11 @ X1 ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f21598,plain,
( ~ spl0_94
| ~ spl0_111
| ~ spl0_169
| ~ spl0_213
| spl0_309 ),
inference(avatar_contradiction_clause,[status(thm)],[f21597]) ).
thf(f21597,plain,
( $false
| ~ spl0_94
| ~ spl0_111
| ~ spl0_169
| ~ spl0_213
| spl0_309 ),
inference(subsumption_resolution,[status(thm)],[f21596,f5516]) ).
thf(f5516,plain,
( ( $true
= ( sK4 @ $false ) )
| ~ spl0_213 ),
inference(avatar_component_clause,[status(thm)],[f5514]) ).
thf(f5514,definition,
( spl0_213
<=> ( $true
= ( sK4 @ $false ) ) ),
introduced(definition,[new_symbols(naming,[spl0_213])],[avatar_definition]) ).
thf(f21596,plain,
( ( $true
!= ( sK4 @ $false ) )
| ~ spl0_94
| ~ spl0_111
| ~ spl0_169
| spl0_309 ),
inference(forward_demodulation,[status(thm)],[f21595,f21590]) ).
thf(f21590,plain,
( ( sK160 = $false )
| ~ spl0_94
| ~ spl0_169
| spl0_309 ),
inference(subsumption_resolution,[status(thm)],[f21589,f2744]) ).
thf(f2744,plain,
( ( $true
= ( sK11 @ $true ) )
| ~ spl0_169 ),
inference(avatar_component_clause,[status(thm)],[f2743]) ).
thf(f2743,definition,
( spl0_169
<=> ( $true
= ( sK11 @ $true ) ) ),
introduced(definition,[new_symbols(naming,[spl0_169])],[avatar_definition]) ).
thf(f21589,plain,
( ( $true
!= ( sK11 @ $true ) )
| ( sK160 = $false )
| ~ spl0_94
| spl0_309 ),
inference(forward_demodulation,[status(thm)],[f21570,f1039]) ).
thf(f1039,plain,
( ( $true
= ( sK4 @ $true ) )
| ~ spl0_94 ),
inference(avatar_component_clause,[status(thm)],[f1037]) ).
thf(f21570,plain,
( ( sK160 = $false )
| ( ( sK11 @ $true )
!= ( sK4 @ $true ) )
| spl0_309 ),
inference(fool_paramodulation,[status(thm)],[f18237]) ).
thf(f18237,plain,
( ( ( sK4 @ sK160 )
!= ( sK11 @ sK160 ) )
| spl0_309 ),
inference(negative_extensionality,[status(thm)],[f18194]) ).
thf(f18194,plain,
( ( sK11 != sK4 )
| spl0_309 ),
inference(avatar_component_clause,[status(thm)],[f18192]) ).
thf(f21595,plain,
( ( $true
!= ( sK4 @ sK160 ) )
| ~ spl0_94
| ~ spl0_111
| ~ spl0_169
| spl0_309 ),
inference(subsumption_resolution,[status(thm)],[f21574,f21590]) ).
thf(f21574,plain,
( ( sK160 != $false )
| ( $true
!= ( sK4 @ sK160 ) )
| ~ spl0_111
| spl0_309 ),
inference(constrained_superposition,[status(thm)],[f18237,f1409]) ).
thf(f1409,plain,
( ( ( sK11 @ $false )
= $true )
| ~ spl0_111 ),
inference(avatar_component_clause,[status(thm)],[f1407]) ).
thf(f1407,definition,
( spl0_111
<=> ( ( sK11 @ $false )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl0_111])],[avatar_definition]) ).
thf(f21317,plain,
( ~ spl0_111
| spl0_114
| ~ spl0_312 ),
inference(avatar_contradiction_clause,[status(thm)],[f21316]) ).
thf(f21316,plain,
( $false
| ~ spl0_111
| spl0_114
| ~ spl0_312 ),
inference(subsumption_resolution,[status(thm)],[f21315,f1467]) ).
thf(f1467,plain,
( ( ( sK11 @ $true )
!= $false )
| spl0_114 ),
inference(avatar_component_clause,[status(thm)],[f1465]) ).
thf(f1465,definition,
( spl0_114
<=> ( ( sK11 @ $true )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_114])],[avatar_definition]) ).
thf(f21315,plain,
( ( ( sK11 @ $true )
= $false )
| ~ spl0_111
| ~ spl0_312 ),
inference(subsumption_resolution,[status(thm)],[f21300,f21314]) ).
thf(f21314,plain,
( ( $false != sK159 )
| ~ spl0_111
| ~ spl0_312 ),
inference(trivial_inequality_removal,[status(thm)],[f21307]) ).
thf(f21307,plain,
( ( $false != sK159 )
| ( $true = $false )
| ~ spl0_111
| ~ spl0_312 ),
inference(constrained_superposition,[status(thm)],[f1409,f18326]) ).
thf(f18326,plain,
( ( ( sK11 @ sK159 )
= $false )
| ~ spl0_312 ),
inference(avatar_component_clause,[status(thm)],[f18324]) ).
thf(f18324,definition,
( spl0_312
<=> ( ( sK11 @ sK159 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_312])],[avatar_definition]) ).
thf(f21300,plain,
( ( $false = sK159 )
| ( ( sK11 @ $true )
= $false )
| ~ spl0_312 ),
inference(fool_paramodulation,[status(thm)],[f18326]) ).
thf(f21053,plain,
( spl0_82
| spl0_83 ),
inference(avatar_split_clause,[status(thm)],[f18409,f739,f735]) ).
thf(f735,definition,
( spl0_82
<=> ( $true
= ( sK11 @ ( eps1 @ sK11 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_82])],[avatar_definition]) ).
thf(f18409,plain,
! [X1: $o] :
( ( $false
= ( sK11 @ X1 ) )
| ( $true
= ( sK11 @ ( eps1 @ sK11 ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f21051,plain,
( spl0_128
| ~ spl0_23
| ~ spl0_30 ),
inference(avatar_split_clause,[status(thm)],[f21050,f326,f257,f1721]) ).
thf(f326,definition,
( spl0_30
<=> ( sK3 = sK5 ) ),
introduced(definition,[new_symbols(naming,[spl0_30])],[avatar_definition]) ).
thf(f21050,plain,
( ( sK2 = sK5 )
| ~ spl0_23
| ~ spl0_30 ),
inference(forward_demodulation,[status(thm)],[f327,f258]) ).
thf(f327,plain,
( ( sK3 = sK5 )
| ~ spl0_30 ),
inference(avatar_component_clause,[status(thm)],[f326]) ).
thf(f21044,plain,
( spl0_33
| spl0_34 ),
inference(avatar_split_clause,[status(thm)],[f18246,f344,f340]) ).
thf(f340,definition,
( spl0_33
<=> ( $true
= ( sK5 @ ( eps4 @ sK5 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_33])],[avatar_definition]) ).
thf(f344,definition,
( spl0_34
<=> ! [X1: $o] :
( $false
= ( sK5 @ X1 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_34])],[avatar_definition]) ).
thf(f18246,plain,
! [X1: $o] :
( ( $true
= ( sK5 @ ( eps4 @ sK5 ) ) )
| ( $false
= ( sK5 @ X1 ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f21043,plain,
( ~ spl0_29
| ~ spl0_35 ),
inference(avatar_split_clause,[status(thm)],[f21042,f348,f322]) ).
thf(f348,definition,
( spl0_35
<=> ( ( eps5 @ sK5 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_35])],[avatar_definition]) ).
thf(f21042,plain,
( ( ( eps4 @ sK5 )
!= $false )
| ~ spl0_35 ),
inference(backward_demodulation,[status(thm)],[f80,f350]) ).
thf(f350,plain,
( ( ( eps5 @ sK5 )
= $false )
| ~ spl0_35 ),
inference(avatar_component_clause,[status(thm)],[f348]) ).
thf(f21003,plain,
( spl0_307
| ~ spl0_29
| ~ spl0_242 ),
inference(avatar_split_clause,[status(thm)],[f20979,f10659,f322,f18129]) ).
thf(f18129,definition,
( spl0_307
<=> ( ( eps4 @ sK4 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_307])],[avatar_definition]) ).
thf(f10659,definition,
( spl0_242
<=> ( sK4 = sK5 ) ),
introduced(definition,[new_symbols(naming,[spl0_242])],[avatar_definition]) ).
thf(f20979,plain,
( ( ( eps4 @ sK4 )
= $false )
| ~ spl0_29
| ~ spl0_242 ),
inference(forward_demodulation,[status(thm)],[f323,f10660]) ).
thf(f10660,plain,
( ( sK4 = sK5 )
| ~ spl0_242 ),
inference(avatar_component_clause,[status(thm)],[f10659]) ).
thf(f21002,plain,
( ~ spl0_307
| spl0_51
| ~ spl0_212
| ~ spl0_242 ),
inference(avatar_split_clause,[status(thm)],[f21001,f10659,f5250,f499,f18129]) ).
thf(f499,definition,
( spl0_51
<=> ( ( eps4 @ sK7 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_51])],[avatar_definition]) ).
thf(f5250,definition,
( spl0_212
<=> ( sK4 = sK7 ) ),
introduced(definition,[new_symbols(naming,[spl0_212])],[avatar_definition]) ).
thf(f21001,plain,
( ( ( eps4 @ sK4 )
!= $false )
| spl0_51
| ~ spl0_212
| ~ spl0_242 ),
inference(subsumption_resolution,[status(thm)],[f21000,f10660]) ).
thf(f21000,plain,
( ( sK4 != sK5 )
| ( ( eps4 @ sK4 )
!= $false )
| spl0_51
| ~ spl0_212
| ~ spl0_242 ),
inference(forward_demodulation,[status(thm)],[f20348,f5251]) ).
thf(f5251,plain,
( ( sK4 = sK7 )
| ~ spl0_212 ),
inference(avatar_component_clause,[status(thm)],[f5250]) ).
thf(f20348,plain,
( ( ( eps4 @ sK4 )
!= $false )
| ( sK5 != sK7 )
| spl0_51
| ~ spl0_242 ),
inference(constrained_superposition,[status(thm)],[f500,f10660]) ).
thf(f500,plain,
( ( ( eps4 @ sK7 )
!= $false )
| spl0_51 ),
inference(avatar_component_clause,[status(thm)],[f499]) ).
thf(f20987,plain,
( ~ spl0_308
| spl0_64
| ~ spl0_178 ),
inference(avatar_split_clause,[status(thm)],[f20950,f2980,f605,f18188]) ).
thf(f605,definition,
( spl0_64
<=> ( ( eps5 @ sK9 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_64])],[avatar_definition]) ).
thf(f2980,definition,
( spl0_178
<=> ( sK9 = sK4 ) ),
introduced(definition,[new_symbols(naming,[spl0_178])],[avatar_definition]) ).
thf(f20950,plain,
( ( ( eps5 @ sK4 )
!= $false )
| spl0_64
| ~ spl0_178 ),
inference(forward_demodulation,[status(thm)],[f606,f2981]) ).
thf(f2981,plain,
( ( sK9 = sK4 )
| ~ spl0_178 ),
inference(avatar_component_clause,[status(thm)],[f2980]) ).
thf(f606,plain,
( ( ( eps5 @ sK9 )
!= $false )
| spl0_64 ),
inference(avatar_component_clause,[status(thm)],[f605]) ).
thf(f20964,plain,
( ~ spl0_308
| spl0_35
| ~ spl0_242 ),
inference(avatar_split_clause,[status(thm)],[f20963,f10659,f348,f18188]) ).
thf(f20963,plain,
( ( ( eps5 @ sK4 )
!= $false )
| spl0_35
| ~ spl0_242 ),
inference(forward_demodulation,[status(thm)],[f349,f10660]) ).
thf(f349,plain,
( ( ( eps5 @ sK5 )
!= $false )
| spl0_35 ),
inference(avatar_component_clause,[status(thm)],[f348]) ).
thf(f20932,plain,
( ~ spl0_20
| ~ spl0_178
| ~ spl0_308 ),
inference(avatar_split_clause,[status(thm)],[f20931,f18188,f2980,f218]) ).
thf(f218,definition,
( spl0_20
<=> ( ( eps2 @ sK4 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_20])],[avatar_definition]) ).
thf(f20931,plain,
( ( ( eps2 @ sK4 )
!= $false )
| ~ spl0_178
| ~ spl0_308 ),
inference(forward_demodulation,[status(thm)],[f20640,f18189]) ).
thf(f18189,plain,
( ( ( eps5 @ sK4 )
= $false )
| ~ spl0_308 ),
inference(avatar_component_clause,[status(thm)],[f18188]) ).
thf(f20640,plain,
( ( ( eps5 @ sK4 )
!= ( eps2 @ sK4 ) )
| ~ spl0_178 ),
inference(forward_demodulation,[status(thm)],[f84,f2981]) ).
thf(f84,plain,
( ( eps5 @ sK9 )
!= ( eps2 @ sK9 ) ),
inference(negative_extensionality,[status(thm)],[f47]) ).
thf(f47,plain,
eps2 != eps5,
inference(cnf_transformation,[status(thm)],[f20]) ).
thf(f20,plain,
eps2 != eps5,
inference(fool_elimination,[status(thm)],[f12]) ).
thf(f12,axiom,
eps2 != eps5,
file('/export/starexec/sandbox2/tmp/tmp.2wiz2zWszC/DTF2THF_5231.p',choiceax25) ).
thf(f20930,plain,
( spl0_83
| spl0_169
| ~ spl0_80 ),
inference(avatar_split_clause,[status(thm)],[f20929,f725,f2743,f739]) ).
thf(f725,definition,
( spl0_80
<=> ( ( eps1 @ sK11 )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl0_80])],[avatar_definition]) ).
thf(f20929,plain,
( ! [X1: $o] :
( ( $false
= ( sK11 @ X1 ) )
| ( $true
= ( sK11 @ $true ) ) )
| ~ spl0_80 ),
inference(forward_demodulation,[status(thm)],[f18409,f726]) ).
thf(f726,plain,
( ( ( eps1 @ sK11 )
= $true )
| ~ spl0_80 ),
inference(avatar_component_clause,[status(thm)],[f725]) ).
thf(f20926,plain,
( spl0_169
| ~ spl0_80
| ~ spl0_82 ),
inference(avatar_split_clause,[status(thm)],[f20925,f735,f725,f2743]) ).
thf(f20925,plain,
( ( $true
= ( sK11 @ $true ) )
| ~ spl0_80
| ~ spl0_82 ),
inference(forward_demodulation,[status(thm)],[f737,f726]) ).
thf(f737,plain,
( ( $true
= ( sK11 @ ( eps1 @ sK11 ) ) )
| ~ spl0_82 ),
inference(avatar_component_clause,[status(thm)],[f735]) ).
thf(f20920,plain,
( spl0_20
| ~ spl0_65
| ~ spl0_178 ),
inference(avatar_split_clause,[status(thm)],[f20919,f2980,f610,f218]) ).
thf(f610,definition,
( spl0_65
<=> ( $false
= ( eps2 @ sK9 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_65])],[avatar_definition]) ).
thf(f20919,plain,
( ( ( eps2 @ sK4 )
= $false )
| ~ spl0_65
| ~ spl0_178 ),
inference(forward_demodulation,[status(thm)],[f612,f2981]) ).
thf(f612,plain,
( ( $false
= ( eps2 @ sK9 ) )
| ~ spl0_65 ),
inference(avatar_component_clause,[status(thm)],[f610]) ).
thf(f20909,plain,
( ~ spl0_133
| ~ spl0_23
| spl0_144 ),
inference(avatar_split_clause,[status(thm)],[f20908,f1971,f257,f1758]) ).
thf(f1758,definition,
( spl0_133
<=> ( $true
= ( eps1 @ sK2 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_133])],[avatar_definition]) ).
thf(f1971,definition,
( spl0_144
<=> ( $true
= ( eps1 @ sK3 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_144])],[avatar_definition]) ).
thf(f20908,plain,
( ( $true
!= ( eps1 @ sK2 ) )
| ~ spl0_23
| spl0_144 ),
inference(forward_demodulation,[status(thm)],[f1972,f258]) ).
thf(f1972,plain,
( ( $true
!= ( eps1 @ sK3 ) )
| spl0_144 ),
inference(avatar_component_clause,[status(thm)],[f1971]) ).
thf(f20891,plain,
( spl0_131
| ~ spl0_23
| ~ spl0_145 ),
inference(avatar_split_clause,[status(thm)],[f20890,f1977,f257,f1735]) ).
thf(f1735,definition,
( spl0_131
<=> ( ( eps1 @ sK2 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_131])],[avatar_definition]) ).
thf(f1977,definition,
( spl0_145
<=> ( $false
= ( eps1 @ sK3 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_145])],[avatar_definition]) ).
thf(f20890,plain,
( ( ( eps1 @ sK2 )
= $false )
| ~ spl0_23
| ~ spl0_145 ),
inference(forward_demodulation,[status(thm)],[f1978,f258]) ).
thf(f1978,plain,
( ( $false
= ( eps1 @ sK3 ) )
| ~ spl0_145 ),
inference(avatar_component_clause,[status(thm)],[f1977]) ).
thf(f20880,plain,
( spl0_131
| ~ spl0_56
| ~ spl0_61 ),
inference(avatar_split_clause,[status(thm)],[f20877,f570,f547,f1735]) ).
thf(f20877,plain,
( ( ( eps1 @ sK2 )
= $false )
| ~ spl0_56
| ~ spl0_61 ),
inference(backward_demodulation,[status(thm)],[f549,f571]) ).
thf(f571,plain,
( ( sK8 = sK2 )
| ~ spl0_61 ),
inference(avatar_component_clause,[status(thm)],[f570]) ).
thf(f20865,plain,
( ~ spl0_15
| spl0_63
| ~ spl0_178 ),
inference(avatar_split_clause,[status(thm)],[f20864,f2980,f601,f196]) ).
thf(f601,definition,
( spl0_63
<=> ( $true
= ( eps2 @ sK9 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_63])],[avatar_definition]) ).
thf(f20864,plain,
( ( $true
!= ( eps2 @ sK4 ) )
| spl0_63
| ~ spl0_178 ),
inference(forward_demodulation,[status(thm)],[f603,f2981]) ).
thf(f603,plain,
( ( $true
!= ( eps2 @ sK9 ) )
| spl0_63 ),
inference(avatar_component_clause,[status(thm)],[f601]) ).
thf(f20861,plain,
( ~ spl0_309
| ~ spl0_178
| spl0_179 ),
inference(avatar_split_clause,[status(thm)],[f20860,f2991,f2980,f18192]) ).
thf(f2991,definition,
( spl0_179
<=> ( sK11 = sK9 ) ),
introduced(definition,[new_symbols(naming,[spl0_179])],[avatar_definition]) ).
thf(f20860,plain,
( ( sK11 != sK4 )
| ~ spl0_178
| spl0_179 ),
inference(forward_demodulation,[status(thm)],[f2993,f2981]) ).
thf(f2993,plain,
( ( sK11 != sK9 )
| spl0_179 ),
inference(avatar_component_clause,[status(thm)],[f2991]) ).
thf(f20844,plain,
( ~ spl0_211
| spl0_44
| ~ spl0_209 ),
inference(avatar_split_clause,[status(thm)],[f20843,f5233,f446,f5246]) ).
thf(f5246,definition,
( spl0_211
<=> ( $true
= ( eps3 @ sK4 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_211])],[avatar_definition]) ).
thf(f446,definition,
( spl0_44
<=> ( $true
= ( eps3 @ sK6 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_44])],[avatar_definition]) ).
thf(f5233,definition,
( spl0_209
<=> ( sK4 = sK6 ) ),
introduced(definition,[new_symbols(naming,[spl0_209])],[avatar_definition]) ).
thf(f20843,plain,
( ( $true
!= ( eps3 @ sK4 ) )
| spl0_44
| ~ spl0_209 ),
inference(forward_demodulation,[status(thm)],[f447,f5234]) ).
thf(f5234,plain,
( ( sK4 = sK6 )
| ~ spl0_209 ),
inference(avatar_component_clause,[status(thm)],[f5233]) ).
thf(f447,plain,
( ( $true
!= ( eps3 @ sK6 ) )
| spl0_44 ),
inference(avatar_component_clause,[status(thm)],[f446]) ).
thf(f20831,plain,
( ~ spl0_21
| spl0_39
| ~ spl0_209 ),
inference(avatar_split_clause,[status(thm)],[f20830,f5233,f423,f222]) ).
thf(f423,definition,
( spl0_39
<=> ( $false
= ( eps1 @ sK6 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_39])],[avatar_definition]) ).
thf(f20830,plain,
( ( ( eps1 @ sK4 )
!= $false )
| spl0_39
| ~ spl0_209 ),
inference(forward_demodulation,[status(thm)],[f424,f5234]) ).
thf(f424,plain,
( ( $false
!= ( eps1 @ sK6 ) )
| spl0_39 ),
inference(avatar_component_clause,[status(thm)],[f423]) ).
thf(f20820,plain,
( ~ spl0_61
| spl0_131
| ~ spl0_23
| ~ spl0_56 ),
inference(avatar_split_clause,[status(thm)],[f20819,f547,f257,f1735,f570]) ).
thf(f20819,plain,
( ( ( eps1 @ sK2 )
= $false )
| ( sK8 != sK2 )
| ~ spl0_23
| ~ spl0_56 ),
inference(forward_demodulation,[status(thm)],[f20373,f258]) ).
thf(f20373,plain,
( ( ( eps1 @ sK2 )
= $false )
| ( sK8 != sK3 )
| ~ spl0_23
| ~ spl0_56 ),
inference(constrained_superposition,[status(thm)],[f549,f258]) ).
thf(f20812,plain,
( spl0_48
| spl0_233
| ~ spl0_53 ),
inference(avatar_split_clause,[status(thm)],[f20461,f508,f7396,f486]) ).
thf(f486,definition,
( spl0_48
<=> ! [X1: $o] :
( ( sK7 @ X1 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_48])],[avatar_definition]) ).
thf(f20461,plain,
( ! [X1: $o] :
( ( $true
= ( sK7 @ $false ) )
| ( ( sK7 @ X1 )
= $false ) )
| ~ spl0_53 ),
inference(forward_demodulation,[status(thm)],[f20454,f509]) ).
thf(f20454,plain,
! [X1: $o] :
( ( ( sK7 @ X1 )
= $false )
| ( ( sK7 @ ( eps3 @ sK7 ) )
= $true ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f20810,plain,
( spl0_233
| ~ spl0_49
| ~ spl0_53 ),
inference(avatar_split_clause,[status(thm)],[f20102,f508,f490,f7396]) ).
thf(f490,definition,
( spl0_49
<=> ( ( sK7 @ ( eps3 @ sK7 ) )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl0_49])],[avatar_definition]) ).
thf(f20102,plain,
( ( $true
= ( sK7 @ $false ) )
| ~ spl0_49
| ~ spl0_53 ),
inference(forward_demodulation,[status(thm)],[f492,f509]) ).
thf(f492,plain,
( ( ( sK7 @ ( eps3 @ sK7 ) )
= $true )
| ~ spl0_49 ),
inference(avatar_component_clause,[status(thm)],[f490]) ).
thf(f20803,plain,
( ~ spl0_213
| spl0_353
| ~ spl0_354 ),
inference(avatar_contradiction_clause,[status(thm)],[f20802]) ).
thf(f20802,plain,
( $false
| ~ spl0_213
| spl0_353
| ~ spl0_354 ),
inference(subsumption_resolution,[status(thm)],[f20801,f5516]) ).
thf(f20801,plain,
( ( $true
!= ( sK4 @ $false ) )
| spl0_353
| ~ spl0_354 ),
inference(forward_demodulation,[status(thm)],[f20755,f20758]) ).
thf(f20758,plain,
( ( sK171 = $false )
| ~ spl0_354 ),
inference(avatar_component_clause,[status(thm)],[f20757]) ).
thf(f20757,definition,
( spl0_354
<=> ( sK171 = $false ) ),
introduced(definition,[new_symbols(naming,[spl0_354])],[avatar_definition]) ).
thf(f20755,plain,
( ( $true
!= ( sK4 @ sK171 ) )
| spl0_353 ),
inference(avatar_component_clause,[status(thm)],[f20753]) ).
thf(f20753,definition,
( spl0_353
<=> ( $true
= ( sK4 @ sK171 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_353])],[avatar_definition]) ).
thf(f20773,plain,
( spl0_354
| ~ spl0_94
| ~ spl0_120
| spl0_212 ),
inference(avatar_split_clause,[status(thm)],[f20772,f5250,f1517,f1037,f20757]) ).
thf(f20772,plain,
( ( sK171 = $false )
| ~ spl0_94
| ~ spl0_120
| spl0_212 ),
inference(subsumption_resolution,[status(thm)],[f20771,f1519]) ).
thf(f20771,plain,
( ( $true
!= ( sK7 @ $true ) )
| ( sK171 = $false )
| ~ spl0_94
| spl0_212 ),
inference(forward_demodulation,[status(thm)],[f20748,f1039]) ).
thf(f20748,plain,
( ( sK171 = $false )
| ( ( sK7 @ $true )
!= ( sK4 @ $true ) )
| spl0_212 ),
inference(fool_paramodulation,[status(thm)],[f20274]) ).
thf(f20274,plain,
( ( ( sK4 @ sK171 )
!= ( sK7 @ sK171 ) )
| spl0_212 ),
inference(negative_extensionality,[status(thm)],[f5252]) ).
thf(f5252,plain,
( ( sK4 != sK7 )
| spl0_212 ),
inference(avatar_component_clause,[status(thm)],[f5250]) ).
thf(f20760,plain,
( ~ spl0_353
| ~ spl0_354
| spl0_212
| ~ spl0_233 ),
inference(avatar_split_clause,[status(thm)],[f20750,f7396,f5250,f20757,f20753]) ).
thf(f20750,plain,
( ( $true
!= ( sK4 @ sK171 ) )
| ( sK171 != $false )
| spl0_212
| ~ spl0_233 ),
inference(constrained_superposition,[status(thm)],[f20274,f7398]) ).
thf(f20615,plain,
( ~ spl0_90
| ~ spl0_91
| ~ spl0_94
| spl0_178
| ~ spl0_213 ),
inference(avatar_contradiction_clause,[status(thm)],[f20614]) ).
thf(f20614,plain,
( $false
| ~ spl0_90
| ~ spl0_91
| ~ spl0_94
| spl0_178
| ~ spl0_213 ),
inference(subsumption_resolution,[status(thm)],[f20613,f5516]) ).
thf(f20613,plain,
( ( $true
!= ( sK4 @ $false ) )
| ~ spl0_90
| ~ spl0_91
| ~ spl0_94
| spl0_178 ),
inference(forward_demodulation,[status(thm)],[f20612,f20599]) ).
thf(f20599,plain,
( ( sK170 = $false )
| ~ spl0_90
| ~ spl0_94
| spl0_178 ),
inference(subsumption_resolution,[status(thm)],[f20598,f989]) ).
thf(f989,plain,
( ( $true
= ( sK9 @ $true ) )
| ~ spl0_90 ),
inference(avatar_component_clause,[status(thm)],[f987]) ).
thf(f987,definition,
( spl0_90
<=> ( $true
= ( sK9 @ $true ) ) ),
introduced(definition,[new_symbols(naming,[spl0_90])],[avatar_definition]) ).
thf(f20598,plain,
( ( $true
!= ( sK9 @ $true ) )
| ( sK170 = $false )
| ~ spl0_94
| spl0_178 ),
inference(forward_demodulation,[status(thm)],[f20594,f1039]) ).
thf(f20594,plain,
( ( sK170 = $false )
| ( ( sK9 @ $true )
!= ( sK4 @ $true ) )
| spl0_178 ),
inference(fool_paramodulation,[status(thm)],[f20195]) ).
thf(f20195,plain,
( ( ( sK4 @ sK170 )
!= ( sK9 @ sK170 ) )
| spl0_178 ),
inference(negative_extensionality,[status(thm)],[f2982]) ).
thf(f2982,plain,
( ( sK9 != sK4 )
| spl0_178 ),
inference(avatar_component_clause,[status(thm)],[f2980]) ).
thf(f20612,plain,
( ( ( sK4 @ sK170 )
!= $true )
| ~ spl0_90
| ~ spl0_91
| ~ spl0_94
| spl0_178 ),
inference(subsumption_resolution,[status(thm)],[f20596,f20599]) ).
thf(f20596,plain,
( ( ( sK4 @ sK170 )
!= $true )
| ( sK170 != $false )
| ~ spl0_91
| spl0_178 ),
inference(constrained_superposition,[status(thm)],[f20195,f995]) ).
thf(f995,plain,
( ( $true
= ( sK9 @ $false ) )
| ~ spl0_91 ),
inference(avatar_component_clause,[status(thm)],[f993]) ).
thf(f993,definition,
( spl0_91
<=> ( $true
= ( sK9 @ $false ) ) ),
introduced(definition,[new_symbols(naming,[spl0_91])],[avatar_definition]) ).
thf(f20139,plain,
( spl0_308
| ~ spl0_35
| ~ spl0_242 ),
inference(avatar_split_clause,[status(thm)],[f20048,f10659,f348,f18188]) ).
thf(f20048,plain,
( ( ( eps5 @ sK4 )
= $false )
| ~ spl0_35
| ~ spl0_242 ),
inference(forward_demodulation,[status(thm)],[f350,f10660]) ).
thf(f20122,plain,
( spl0_26
| ~ spl0_9
| ~ spl0_23 ),
inference(avatar_split_clause,[status(thm)],[f20121,f257,f146,f273]) ).
thf(f273,definition,
( spl0_26
<=> ( $true
= ( eps3 @ sK2 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_26])],[avatar_definition]) ).
thf(f146,definition,
( spl0_9
<=> ( $true
= ( eps3 @ sK3 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_9])],[avatar_definition]) ).
thf(f20121,plain,
( ( $true
= ( eps3 @ sK2 ) )
| ~ spl0_9
| ~ spl0_23 ),
inference(forward_demodulation,[status(thm)],[f148,f258]) ).
thf(f148,plain,
( ( $true
= ( eps3 @ sK3 ) )
| ~ spl0_9 ),
inference(avatar_component_clause,[status(thm)],[f146]) ).
thf(f20120,plain,
( spl0_48
| spl0_47 ),
inference(avatar_split_clause,[status(thm)],[f3817,f482,f486]) ).
thf(f482,definition,
( spl0_47
<=> ( $true
= ( sK7 @ ( eps4 @ sK7 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_47])],[avatar_definition]) ).
thf(f3817,plain,
! [X1: $o] :
( ( ( sK7 @ X1 )
= $false )
| ( $true
= ( sK7 @ ( eps4 @ sK7 ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f20113,plain,
( ~ spl0_75
| ~ spl0_347 ),
inference(avatar_contradiction_clause,[status(thm)],[f20112]) ).
thf(f20112,plain,
( $false
| ~ spl0_75
| ~ spl0_347 ),
inference(trivial_inequality_removal,[status(thm)],[f20111]) ).
thf(f20111,plain,
( ( $true = $false )
| ~ spl0_75
| ~ spl0_347 ),
inference(forward_demodulation,[status(thm)],[f19893,f683]) ).
thf(f683,plain,
( ! [X1: $o] :
( ( sK10 @ X1 )
= $false )
| ~ spl0_75 ),
inference(avatar_component_clause,[status(thm)],[f682]) ).
thf(f682,definition,
( spl0_75
<=> ! [X1: $o] :
( ( sK10 @ X1 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_75])],[avatar_definition]) ).
thf(f19893,plain,
( ( $true
= ( sK10 @ sK167 ) )
| ~ spl0_347 ),
inference(avatar_component_clause,[status(thm)],[f19891]) ).
thf(f19891,definition,
( spl0_347
<=> ( $true
= ( sK10 @ sK167 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_347])],[avatar_definition]) ).
thf(f20099,plain,
( ~ spl0_24
| ~ spl0_23
| ~ spl0_25 ),
inference(avatar_split_clause,[status(thm)],[f20098,f267,f257,f261]) ).
thf(f20098,plain,
( ( ( eps3 @ sK2 )
!= $false )
| ~ spl0_23
| ~ spl0_25 ),
inference(backward_demodulation,[status(thm)],[f20065,f269]) ).
thf(f269,plain,
( ( ( eps5 @ sK2 )
= $false )
| ~ spl0_25 ),
inference(avatar_component_clause,[status(thm)],[f267]) ).
thf(f20065,plain,
( ( ( eps5 @ sK2 )
!= ( eps3 @ sK2 ) )
| ~ spl0_23 ),
inference(forward_demodulation,[status(thm)],[f78,f258]) ).
thf(f78,plain,
( ( eps3 @ sK3 )
!= ( eps5 @ sK3 ) ),
inference(negative_extensionality,[status(thm)],[f41]) ).
thf(f41,plain,
eps3 != eps5,
inference(cnf_transformation,[status(thm)],[f36]) ).
thf(f36,plain,
eps3 != eps5,
inference(fool_elimination,[status(thm)],[f14]) ).
thf(f14,axiom,
eps3 != eps5,
file('/export/starexec/sandbox2/tmp/tmp.2wiz2zWszC/DTF2THF_5231.p',choiceax35) ).
thf(f20097,plain,
( spl0_68
| spl0_90
| ~ spl0_67 ),
inference(avatar_split_clause,[status(thm)],[f20096,f620,f987,f625]) ).
thf(f625,definition,
( spl0_68
<=> ! [X1: $o] :
( ( sK9 @ X1 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_68])],[avatar_definition]) ).
thf(f620,definition,
( spl0_67
<=> ( $true
= ( eps5 @ sK9 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_67])],[avatar_definition]) ).
thf(f20096,plain,
( ! [X1: $o] :
( ( $true
= ( sK9 @ $true ) )
| ( ( sK9 @ X1 )
= $false ) )
| ~ spl0_67 ),
inference(forward_demodulation,[status(thm)],[f9599,f622]) ).
thf(f622,plain,
( ( $true
= ( eps5 @ sK9 ) )
| ~ spl0_67 ),
inference(avatar_component_clause,[status(thm)],[f620]) ).
thf(f9599,plain,
! [X1: $o] :
( ( $true
= ( sK9 @ ( eps5 @ sK9 ) ) )
| ( ( sK9 @ X1 )
= $false ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f20088,plain,
( ~ spl0_129
| ~ spl0_132
| spl0_179 ),
inference(avatar_split_clause,[status(thm)],[f20087,f2991,f1742,f1725]) ).
thf(f1725,definition,
( spl0_129
<=> ( sK9 = sK2 ) ),
introduced(definition,[new_symbols(naming,[spl0_129])],[avatar_definition]) ).
thf(f1742,definition,
( spl0_132
<=> ( sK11 = sK2 ) ),
introduced(definition,[new_symbols(naming,[spl0_132])],[avatar_definition]) ).
thf(f20087,plain,
( ( sK9 != sK2 )
| ~ spl0_132
| spl0_179 ),
inference(forward_demodulation,[status(thm)],[f2993,f1743]) ).
thf(f1743,plain,
( ( sK11 = sK2 )
| ~ spl0_132 ),
inference(avatar_component_clause,[status(thm)],[f1742]) ).
thf(f20085,plain,
( spl0_26
| ~ spl0_72
| ~ spl0_183 ),
inference(avatar_split_clause,[status(thm)],[f20084,f3485,f668,f273]) ).
thf(f3485,definition,
( spl0_183
<=> ( sK10 = sK2 ) ),
introduced(definition,[new_symbols(naming,[spl0_183])],[avatar_definition]) ).
thf(f20084,plain,
( ( $true
= ( eps3 @ sK2 ) )
| ~ spl0_72
| ~ spl0_183 ),
inference(forward_demodulation,[status(thm)],[f670,f3486]) ).
thf(f3486,plain,
( ( sK10 = sK2 )
| ~ spl0_183 ),
inference(avatar_component_clause,[status(thm)],[f3485]) ).
thf(f20077,plain,
( ~ spl0_24
| ~ spl0_4
| ~ spl0_183 ),
inference(avatar_split_clause,[status(thm)],[f20076,f3485,f106,f261]) ).
thf(f20076,plain,
( ( ( eps3 @ sK2 )
!= $false )
| ~ spl0_4
| ~ spl0_183 ),
inference(forward_demodulation,[status(thm)],[f20075,f108]) ).
thf(f108,plain,
( ( ( eps2 @ sK2 )
= $false )
| ~ spl0_4 ),
inference(avatar_component_clause,[status(thm)],[f106]) ).
thf(f20075,plain,
( ( ( eps2 @ sK2 )
!= ( eps3 @ sK2 ) )
| ~ spl0_183 ),
inference(forward_demodulation,[status(thm)],[f85,f3486]) ).
thf(f20073,plain,
( ~ spl0_24
| spl0_14
| ~ spl0_23 ),
inference(avatar_split_clause,[status(thm)],[f20072,f257,f169,f261]) ).
thf(f20072,plain,
( ( ( eps3 @ sK2 )
!= $false )
| spl0_14
| ~ spl0_23 ),
inference(forward_demodulation,[status(thm)],[f170,f258]) ).
thf(f170,plain,
( ( ( eps3 @ sK3 )
!= $false )
| spl0_14 ),
inference(avatar_component_clause,[status(thm)],[f169]) ).
thf(f20070,plain,
( spl0_133
| ~ spl0_80
| ~ spl0_132 ),
inference(avatar_split_clause,[status(thm)],[f20069,f1742,f725,f1758]) ).
thf(f20069,plain,
( ( $true
= ( eps1 @ sK2 ) )
| ~ spl0_80
| ~ spl0_132 ),
inference(forward_demodulation,[status(thm)],[f726,f1743]) ).
thf(f20062,plain,
( ~ spl0_131
| ~ spl0_23
| spl0_145 ),
inference(avatar_split_clause,[status(thm)],[f20061,f1977,f257,f1735]) ).
thf(f20061,plain,
( ( ( eps1 @ sK2 )
!= $false )
| ~ spl0_23
| spl0_145 ),
inference(forward_demodulation,[status(thm)],[f1979,f258]) ).
thf(f1979,plain,
( ( $false
!= ( eps1 @ sK3 ) )
| spl0_145 ),
inference(avatar_component_clause,[status(thm)],[f1977]) ).
thf(f20042,plain,
( ~ spl0_72
| spl0_211
| ~ spl0_243 ),
inference(avatar_contradiction_clause,[status(thm)],[f20041]) ).
thf(f20041,plain,
( $false
| ~ spl0_72
| spl0_211
| ~ spl0_243 ),
inference(subsumption_resolution,[status(thm)],[f20040,f5247]) ).
thf(f5247,plain,
( ( $true
!= ( eps3 @ sK4 ) )
| spl0_211 ),
inference(avatar_component_clause,[status(thm)],[f5246]) ).
thf(f20040,plain,
( ( $true
= ( eps3 @ sK4 ) )
| ~ spl0_72
| ~ spl0_243 ),
inference(forward_demodulation,[status(thm)],[f670,f10796]) ).
thf(f10796,plain,
( ( sK4 = sK10 )
| ~ spl0_243 ),
inference(avatar_component_clause,[status(thm)],[f10795]) ).
thf(f10795,definition,
( spl0_243
<=> ( sK4 = sK10 ) ),
introduced(definition,[new_symbols(naming,[spl0_243])],[avatar_definition]) ).
thf(f20023,plain,
( spl0_32
| ~ spl0_242
| ~ spl0_305 ),
inference(avatar_contradiction_clause,[status(thm)],[f20022]) ).
thf(f20022,plain,
( $false
| spl0_32
| ~ spl0_242
| ~ spl0_305 ),
inference(subsumption_resolution,[status(thm)],[f20021,f18088]) ).
thf(f20021,plain,
( ( $true
!= ( eps5 @ sK4 ) )
| spl0_32
| ~ spl0_242 ),
inference(forward_demodulation,[status(thm)],[f336,f10660]) ).
thf(f336,plain,
( ( $true
!= ( eps5 @ sK5 ) )
| spl0_32 ),
inference(avatar_component_clause,[status(thm)],[f335]) ).
thf(f335,definition,
( spl0_32
<=> ( $true
= ( eps5 @ sK5 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_32])],[avatar_definition]) ).
thf(f20006,plain,
( spl0_211
| ~ spl0_44
| ~ spl0_209 ),
inference(avatar_split_clause,[status(thm)],[f20005,f5233,f446,f5246]) ).
thf(f20005,plain,
( ( $true
= ( eps3 @ sK4 ) )
| ~ spl0_44
| ~ spl0_209 ),
inference(forward_demodulation,[status(thm)],[f448,f5234]) ).
thf(f448,plain,
( ( $true
= ( eps3 @ sK6 ) )
| ~ spl0_44 ),
inference(avatar_component_clause,[status(thm)],[f446]) ).
thf(f19970,plain,
( ~ spl0_210
| ~ spl0_21
| ~ spl0_209 ),
inference(avatar_split_clause,[status(thm)],[f19969,f5233,f222,f5237]) ).
thf(f5237,definition,
( spl0_210
<=> ( $false
= ( eps3 @ sK4 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_210])],[avatar_definition]) ).
thf(f19969,plain,
( ( $false
!= ( eps3 @ sK4 ) )
| ~ spl0_21
| ~ spl0_209 ),
inference(forward_demodulation,[status(thm)],[f19968,f224]) ).
thf(f224,plain,
( ( ( eps1 @ sK4 )
= $false )
| ~ spl0_21 ),
inference(avatar_component_clause,[status(thm)],[f222]) ).
thf(f19968,plain,
( ( ( eps1 @ sK4 )
!= ( eps3 @ sK4 ) )
| ~ spl0_209 ),
inference(forward_demodulation,[status(thm)],[f81,f5234]) ).
thf(f81,plain,
( ( eps3 @ sK6 )
!= ( eps1 @ sK6 ) ),
inference(negative_extensionality,[status(thm)],[f44]) ).
thf(f44,plain,
eps1 != eps3,
inference(cnf_transformation,[status(thm)],[f21]) ).
thf(f21,plain,
eps1 != eps3,
inference(fool_elimination,[status(thm)],[f7]) ).
thf(f7,axiom,
eps1 != eps3,
file('/export/starexec/sandbox2/tmp/tmp.2wiz2zWszC/DTF2THF_5231.p',choiceax13) ).
thf(f19965,plain,
( spl0_20
| ~ spl0_76
| ~ spl0_243 ),
inference(avatar_contradiction_clause,[status(thm)],[f19964]) ).
thf(f19964,plain,
( $false
| spl0_20
| ~ spl0_76
| ~ spl0_243 ),
inference(subsumption_resolution,[status(thm)],[f19963,f219]) ).
thf(f219,plain,
( ( ( eps2 @ sK4 )
!= $false )
| spl0_20 ),
inference(avatar_component_clause,[status(thm)],[f218]) ).
thf(f19963,plain,
( ( ( eps2 @ sK4 )
= $false )
| ~ spl0_76
| ~ spl0_243 ),
inference(forward_demodulation,[status(thm)],[f688,f10796]) ).
thf(f19962,plain,
( ~ spl0_15
| spl0_71
| ~ spl0_243 ),
inference(avatar_split_clause,[status(thm)],[f19961,f10795,f664,f196]) ).
thf(f664,definition,
( spl0_71
<=> ( $true
= ( eps2 @ sK10 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_71])],[avatar_definition]) ).
thf(f19961,plain,
( ( $true
!= ( eps2 @ sK4 ) )
| spl0_71
| ~ spl0_243 ),
inference(forward_demodulation,[status(thm)],[f665,f10796]) ).
thf(f665,plain,
( ( $true
!= ( eps2 @ sK10 ) )
| spl0_71 ),
inference(avatar_component_clause,[status(thm)],[f664]) ).
thf(f19950,plain,
( ~ spl0_210
| spl0_77
| ~ spl0_243 ),
inference(avatar_split_clause,[status(thm)],[f19949,f10795,f690,f5237]) ).
thf(f19949,plain,
( ( $false
!= ( eps3 @ sK4 ) )
| spl0_77
| ~ spl0_243 ),
inference(forward_demodulation,[status(thm)],[f691,f10796]) ).
thf(f691,plain,
( ( ( eps3 @ sK10 )
!= $false )
| spl0_77 ),
inference(avatar_component_clause,[status(thm)],[f690]) ).
thf(f19942,plain,
( spl0_74
| spl0_75 ),
inference(avatar_split_clause,[status(thm)],[f13907,f682,f678]) ).
thf(f13907,plain,
! [X1: $o] :
( ( $true
= ( sK10 @ ( eps3 @ sK10 ) ) )
| ( ( sK10 @ X1 )
= $false ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f19928,plain,
( ~ spl0_208
| ~ spl0_213
| spl0_243
| ~ spl0_346 ),
inference(avatar_contradiction_clause,[status(thm)],[f19927]) ).
thf(f19927,plain,
( $false
| ~ spl0_208
| ~ spl0_213
| spl0_243
| ~ spl0_346 ),
inference(subsumption_resolution,[status(thm)],[f19926,f5077]) ).
thf(f5077,plain,
( ( ( sK10 @ $false )
= $true )
| ~ spl0_208 ),
inference(avatar_component_clause,[status(thm)],[f5075]) ).
thf(f5075,definition,
( spl0_208
<=> ( ( sK10 @ $false )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl0_208])],[avatar_definition]) ).
thf(f19926,plain,
( ( ( sK10 @ $false )
!= $true )
| ~ spl0_213
| spl0_243
| ~ spl0_346 ),
inference(forward_demodulation,[status(thm)],[f19925,f5516]) ).
thf(f19925,plain,
( ( ( sK10 @ $false )
!= ( sK4 @ $false ) )
| spl0_243
| ~ spl0_346 ),
inference(forward_demodulation,[status(thm)],[f19454,f19887]) ).
thf(f19887,plain,
( ( sK167 = $false )
| ~ spl0_346 ),
inference(avatar_component_clause,[status(thm)],[f19886]) ).
thf(f19886,definition,
( spl0_346
<=> ( sK167 = $false ) ),
introduced(definition,[new_symbols(naming,[spl0_346])],[avatar_definition]) ).
thf(f19454,plain,
( ( ( sK10 @ sK167 )
!= ( sK4 @ sK167 ) )
| spl0_243 ),
inference(negative_extensionality,[status(thm)],[f10797]) ).
thf(f10797,plain,
( ( sK4 != sK10 )
| spl0_243 ),
inference(avatar_component_clause,[status(thm)],[f10795]) ).
thf(f19906,plain,
( spl0_346
| ~ spl0_94
| ~ spl0_110
| spl0_243 ),
inference(avatar_split_clause,[status(thm)],[f19905,f10795,f1340,f1037,f19886]) ).
thf(f19905,plain,
( ( sK167 = $false )
| ~ spl0_94
| ~ spl0_110
| spl0_243 ),
inference(subsumption_resolution,[status(thm)],[f19904,f1342]) ).
thf(f1342,plain,
( ( $true
= ( sK10 @ $true ) )
| ~ spl0_110 ),
inference(avatar_component_clause,[status(thm)],[f1340]) ).
thf(f19904,plain,
( ( $true
!= ( sK10 @ $true ) )
| ( sK167 = $false )
| ~ spl0_94
| spl0_243 ),
inference(forward_demodulation,[status(thm)],[f19876,f1039]) ).
thf(f19876,plain,
( ( sK167 = $false )
| ( ( sK10 @ $true )
!= ( sK4 @ $true ) )
| spl0_243 ),
inference(fool_paramodulation,[status(thm)],[f19454]) ).
thf(f19894,plain,
( spl0_345
| spl0_347
| spl0_243 ),
inference(avatar_split_clause,[status(thm)],[f19874,f10795,f19891,f19882]) ).
thf(f19874,plain,
( ( $true
= ( sK10 @ sK167 ) )
| ( $true
= ( sK4 @ sK167 ) )
| spl0_243 ),
inference(binary_proxy_clausification,[status(thm)],[f19454]) ).
thf(f19665,plain,
( spl0_305
| ~ spl0_32
| ~ spl0_242 ),
inference(avatar_split_clause,[status(thm)],[f19663,f10659,f335,f18086]) ).
thf(f19663,plain,
( ( $true
= ( eps5 @ sK4 ) )
| ~ spl0_32
| ~ spl0_242 ),
inference(backward_demodulation,[status(thm)],[f337,f10660]) ).
thf(f337,plain,
( ( $true
= ( eps5 @ sK5 ) )
| ~ spl0_32 ),
inference(avatar_component_clause,[status(thm)],[f335]) ).
thf(f19661,plain,
( ~ spl0_213
| spl0_340
| ~ spl0_341 ),
inference(avatar_contradiction_clause,[status(thm)],[f19660]) ).
thf(f19660,plain,
( $false
| ~ spl0_213
| spl0_340
| ~ spl0_341 ),
inference(subsumption_resolution,[status(thm)],[f19659,f5516]) ).
thf(f19659,plain,
( ( $true
!= ( sK4 @ $false ) )
| spl0_340
| ~ spl0_341 ),
inference(forward_demodulation,[status(thm)],[f19624,f19627]) ).
thf(f19627,plain,
( ( sK157 = $false )
| ~ spl0_341 ),
inference(avatar_component_clause,[status(thm)],[f19626]) ).
thf(f19626,definition,
( spl0_341
<=> ( sK157 = $false ) ),
introduced(definition,[new_symbols(naming,[spl0_341])],[avatar_definition]) ).
thf(f19624,plain,
( ( ( sK4 @ sK157 )
!= $true )
| spl0_340 ),
inference(avatar_component_clause,[status(thm)],[f19622]) ).
thf(f19622,definition,
( spl0_340
<=> ( ( sK4 @ sK157 )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl0_340])],[avatar_definition]) ).
thf(f19637,plain,
( spl0_341
| ~ spl0_94
| ~ spl0_121
| spl0_242 ),
inference(avatar_split_clause,[status(thm)],[f19636,f10659,f1531,f1037,f19626]) ).
thf(f1531,definition,
( spl0_121
<=> ( $true
= ( sK5 @ $true ) ) ),
introduced(definition,[new_symbols(naming,[spl0_121])],[avatar_definition]) ).
thf(f19636,plain,
( ( sK157 = $false )
| ~ spl0_94
| ~ spl0_121
| spl0_242 ),
inference(subsumption_resolution,[status(thm)],[f19635,f1039]) ).
thf(f19635,plain,
( ( $true
!= ( sK4 @ $true ) )
| ( sK157 = $false )
| ~ spl0_121
| spl0_242 ),
inference(forward_demodulation,[status(thm)],[f19607,f1533]) ).
thf(f1533,plain,
( ( $true
= ( sK5 @ $true ) )
| ~ spl0_121 ),
inference(avatar_component_clause,[status(thm)],[f1531]) ).
thf(f19607,plain,
( ( sK157 = $false )
| ( ( sK4 @ $true )
!= ( sK5 @ $true ) )
| spl0_242 ),
inference(fool_paramodulation,[status(thm)],[f18090]) ).
thf(f18090,plain,
( ( ( sK4 @ sK157 )
!= ( sK5 @ sK157 ) )
| spl0_242 ),
inference(negative_extensionality,[status(thm)],[f10661]) ).
thf(f10661,plain,
( ( sK4 != sK5 )
| spl0_242 ),
inference(avatar_component_clause,[status(thm)],[f10659]) ).
thf(f19629,plain,
( ~ spl0_340
| ~ spl0_341
| ~ spl0_101
| spl0_242 ),
inference(avatar_split_clause,[status(thm)],[f19611,f10659,f1229,f19626,f19622]) ).
thf(f1229,definition,
( spl0_101
<=> ( $true
= ( sK5 @ $false ) ) ),
introduced(definition,[new_symbols(naming,[spl0_101])],[avatar_definition]) ).
thf(f19611,plain,
( ( sK157 != $false )
| ( ( sK4 @ sK157 )
!= $true )
| ~ spl0_101
| spl0_242 ),
inference(constrained_superposition,[status(thm)],[f18090,f1231]) ).
thf(f1231,plain,
( ( $true
= ( sK5 @ $false ) )
| ~ spl0_101 ),
inference(avatar_component_clause,[status(thm)],[f1229]) ).
thf(f19392,plain,
( spl0_75
| spl0_78 ),
inference(avatar_split_clause,[status(thm)],[f955,f696,f682]) ).
thf(f696,definition,
( spl0_78
<=> ( ( sK10 @ ( eps2 @ sK10 ) )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl0_78])],[avatar_definition]) ).
thf(f955,plain,
! [X1: $o] :
( ( ( sK10 @ X1 )
= $false )
| ( ( sK10 @ ( eps2 @ sK10 ) )
= $true ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f19388,plain,
( spl0_16
| ~ spl0_42
| ~ spl0_209 ),
inference(avatar_split_clause,[status(thm)],[f19387,f5233,f436,f200]) ).
thf(f200,definition,
( spl0_16
<=> ( $true
= ( eps1 @ sK4 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_16])],[avatar_definition]) ).
thf(f436,definition,
( spl0_42
<=> ( $true
= ( eps1 @ sK6 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_42])],[avatar_definition]) ).
thf(f19387,plain,
( ( $true
= ( eps1 @ sK4 ) )
| ~ spl0_42
| ~ spl0_209 ),
inference(backward_demodulation,[status(thm)],[f437,f5234]) ).
thf(f437,plain,
( ( $true
= ( eps1 @ sK6 ) )
| ~ spl0_42 ),
inference(avatar_component_clause,[status(thm)],[f436]) ).
thf(f19373,plain,
( ~ spl0_213
| spl0_330
| ~ spl0_334 ),
inference(avatar_contradiction_clause,[status(thm)],[f19372]) ).
thf(f19372,plain,
( $false
| ~ spl0_213
| spl0_330
| ~ spl0_334 ),
inference(subsumption_resolution,[status(thm)],[f19371,f5516]) ).
thf(f19371,plain,
( ( $true
!= ( sK4 @ $false ) )
| spl0_330
| ~ spl0_334 ),
inference(forward_demodulation,[status(thm)],[f19326,f19344]) ).
thf(f19344,plain,
( ( $false = sK166 )
| ~ spl0_334 ),
inference(avatar_component_clause,[status(thm)],[f19343]) ).
thf(f19343,definition,
( spl0_334
<=> ( $false = sK166 ) ),
introduced(definition,[new_symbols(naming,[spl0_334])],[avatar_definition]) ).
thf(f19326,plain,
( ( $true
!= ( sK4 @ sK166 ) )
| spl0_330 ),
inference(avatar_component_clause,[status(thm)],[f19324]) ).
thf(f19324,definition,
( spl0_330
<=> ( $true
= ( sK4 @ sK166 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_330])],[avatar_definition]) ).
thf(f19354,plain,
( spl0_334
| ~ spl0_93
| ~ spl0_94
| spl0_209 ),
inference(avatar_split_clause,[status(thm)],[f19353,f5233,f1037,f1017,f19343]) ).
thf(f19353,plain,
( ( $false = sK166 )
| ~ spl0_93
| ~ spl0_94
| spl0_209 ),
inference(subsumption_resolution,[status(thm)],[f19352,f1019]) ).
thf(f19352,plain,
( ( $true
!= ( sK6 @ $true ) )
| ( $false = sK166 )
| ~ spl0_94
| spl0_209 ),
inference(forward_demodulation,[status(thm)],[f19317,f1039]) ).
thf(f19317,plain,
( ( ( sK6 @ $true )
!= ( sK4 @ $true ) )
| ( $false = sK166 )
| spl0_209 ),
inference(fool_paramodulation,[status(thm)],[f19121]) ).
thf(f19121,plain,
( ( ( sK6 @ sK166 )
!= ( sK4 @ sK166 ) )
| spl0_209 ),
inference(negative_extensionality,[status(thm)],[f5235]) ).
thf(f5235,plain,
( ( sK4 != sK6 )
| spl0_209 ),
inference(avatar_component_clause,[status(thm)],[f5233]) ).
thf(f19346,plain,
( ~ spl0_330
| ~ spl0_334
| ~ spl0_92
| spl0_209 ),
inference(avatar_split_clause,[status(thm)],[f19322,f5233,f1009,f19343,f19324]) ).
thf(f19322,plain,
( ( $true
!= ( sK4 @ sK166 ) )
| ( $false != sK166 )
| ~ spl0_92
| spl0_209 ),
inference(constrained_superposition,[status(thm)],[f19121,f1011]) ).
thf(f18977,plain,
( spl0_93
| spl0_41
| ~ spl0_42 ),
inference(avatar_split_clause,[status(thm)],[f18976,f436,f432,f1017]) ).
thf(f432,definition,
( spl0_41
<=> ! [X1: $o] :
( ( sK6 @ X1 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_41])],[avatar_definition]) ).
thf(f18976,plain,
( ! [X1: $o] :
( ( ( sK6 @ X1 )
= $false )
| ( $true
= ( sK6 @ $true ) ) )
| ~ spl0_42 ),
inference(forward_demodulation,[status(thm)],[f17171,f437]) ).
thf(f17171,plain,
! [X1: $o] :
( ( $true
= ( sK6 @ ( eps1 @ sK6 ) ) )
| ( ( sK6 @ X1 )
= $false ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f18972,plain,
( spl0_169
| spl0_83
| ~ spl0_81 ),
inference(avatar_split_clause,[status(thm)],[f18796,f730,f739,f2743]) ).
thf(f730,definition,
( spl0_81
<=> ( ( eps5 @ sK11 )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl0_81])],[avatar_definition]) ).
thf(f18796,plain,
( ! [X1: $o] :
( ( $false
= ( sK11 @ X1 ) )
| ( $true
= ( sK11 @ $true ) ) )
| ~ spl0_81 ),
inference(forward_demodulation,[status(thm)],[f18355,f732]) ).
thf(f732,plain,
( ( ( eps5 @ sK11 )
= $true )
| ~ spl0_81 ),
inference(avatar_component_clause,[status(thm)],[f730]) ).
thf(f18355,plain,
! [X1: $o] :
( ( $false
= ( sK11 @ X1 ) )
| ( $true
= ( sK11 @ ( eps5 @ sK11 ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f18971,plain,
( spl0_111
| spl0_83
| ~ spl0_84 ),
inference(avatar_split_clause,[status(thm)],[f18970,f743,f739,f1407]) ).
thf(f18970,plain,
( ! [X1: $o] :
( ( $false
= ( sK11 @ X1 ) )
| ( ( sK11 @ $false )
= $true ) )
| ~ spl0_84 ),
inference(forward_demodulation,[status(thm)],[f18392,f745]) ).
thf(f18392,plain,
! [X1: $o] :
( ( $false
= ( sK11 @ X1 ) )
| ( $true
= ( sK11 @ ( eps1 @ sK11 ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f18969,plain,
( spl0_41
| spl0_40 ),
inference(avatar_split_clause,[status(thm)],[f14521,f428,f432]) ).
thf(f428,definition,
( spl0_40
<=> ( $true
= ( sK6 @ ( eps3 @ sK6 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_40])],[avatar_definition]) ).
thf(f14521,plain,
! [X1: $o] :
( ( $true
= ( sK6 @ ( eps3 @ sK6 ) ) )
| ( ( sK6 @ X1 )
= $false ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f18968,plain,
( ~ spl0_44
| ~ spl0_42 ),
inference(avatar_split_clause,[status(thm)],[f18967,f436,f446]) ).
thf(f18967,plain,
( ( $true
!= ( eps3 @ sK6 ) )
| ~ spl0_42 ),
inference(forward_demodulation,[status(thm)],[f81,f437]) ).
thf(f18964,plain,
( spl0_62
| spl0_59 ),
inference(avatar_split_clause,[status(thm)],[f18608,f562,f575]) ).
thf(f575,definition,
( spl0_62
<=> ( $true
= ( sK8 @ ( eps1 @ sK8 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_62])],[avatar_definition]) ).
thf(f18608,plain,
! [X1: $o] :
( ( ( sK8 @ X1 )
= $false )
| ( $true
= ( sK8 @ ( eps1 @ sK8 ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f18949,plain,
( ~ spl0_29
| spl0_55
| ~ spl0_87
| ~ spl0_101
| ~ spl0_121
| ~ spl0_158 ),
inference(avatar_contradiction_clause,[status(thm)],[f18948]) ).
thf(f18948,plain,
( $false
| ~ spl0_29
| spl0_55
| ~ spl0_87
| ~ spl0_101
| ~ spl0_121
| ~ spl0_158 ),
inference(subsumption_resolution,[status(thm)],[f18947,f1231]) ).
thf(f18947,plain,
( ( $true
!= ( sK5 @ $false ) )
| ~ spl0_29
| spl0_55
| ~ spl0_87
| ~ spl0_121
| ~ spl0_158 ),
inference(forward_demodulation,[status(thm)],[f18946,f18932]) ).
thf(f18932,plain,
( ( $false = sK164 )
| ~ spl0_29
| spl0_55
| ~ spl0_121
| ~ spl0_158 ),
inference(subsumption_resolution,[status(thm)],[f18931,f2365]) ).
thf(f18931,plain,
( ( $false = sK164 )
| ( $true
!= ( sK8 @ $true ) )
| ~ spl0_29
| spl0_55
| ~ spl0_121 ),
inference(forward_demodulation,[status(thm)],[f18926,f1533]) ).
thf(f18926,plain,
( ( ( sK8 @ $true )
!= ( sK5 @ $true ) )
| ( $false = sK164 )
| ~ spl0_29
| spl0_55 ),
inference(fool_paramodulation,[status(thm)],[f18918]) ).
thf(f18918,plain,
( ( ( sK8 @ sK164 )
!= ( sK5 @ sK164 ) )
| ~ spl0_29
| spl0_55 ),
inference(negative_extensionality,[status(thm)],[f18907]) ).
thf(f18907,plain,
( ( sK8 != sK5 )
| ~ spl0_29
| spl0_55 ),
inference(trivial_inequality_removal,[status(thm)],[f18900]) ).
thf(f18900,plain,
( ( $false != $false )
| ( sK8 != sK5 )
| ~ spl0_29
| spl0_55 ),
inference(constrained_superposition,[status(thm)],[f544,f323]) ).
thf(f544,plain,
( ( ( eps4 @ sK8 )
!= $false )
| spl0_55 ),
inference(avatar_component_clause,[status(thm)],[f543]) ).
thf(f543,definition,
( spl0_55
<=> ( ( eps4 @ sK8 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_55])],[avatar_definition]) ).
thf(f18946,plain,
( ( $true
!= ( sK5 @ sK164 ) )
| ~ spl0_29
| spl0_55
| ~ spl0_87
| ~ spl0_121
| ~ spl0_158 ),
inference(subsumption_resolution,[status(thm)],[f18930,f18932]) ).
thf(f18930,plain,
( ( $true
!= ( sK5 @ sK164 ) )
| ( $false != sK164 )
| ~ spl0_29
| spl0_55
| ~ spl0_87 ),
inference(constrained_superposition,[status(thm)],[f18918,f855]) ).
thf(f18776,plain,
( ~ spl0_56
| ~ spl0_80
| ~ spl0_87
| ~ spl0_111
| ~ spl0_327 ),
inference(avatar_contradiction_clause,[status(thm)],[f18775]) ).
thf(f18775,plain,
( $false
| ~ spl0_56
| ~ spl0_80
| ~ spl0_87
| ~ spl0_111
| ~ spl0_327 ),
inference(subsumption_resolution,[status(thm)],[f18774,f1409]) ).
thf(f18774,plain,
( ( ( sK11 @ $false )
!= $true )
| ~ spl0_56
| ~ spl0_80
| ~ spl0_87
| ~ spl0_327 ),
inference(forward_demodulation,[status(thm)],[f18773,f855]) ).
thf(f18773,plain,
( ( ( sK11 @ $false )
!= ( sK8 @ $false ) )
| ~ spl0_56
| ~ spl0_80
| ~ spl0_327 ),
inference(backward_demodulation,[status(thm)],[f18636,f18756]) ).
thf(f18756,plain,
( ( $false = sK163 )
| ~ spl0_327 ),
inference(avatar_component_clause,[status(thm)],[f18755]) ).
thf(f18755,definition,
( spl0_327
<=> ( $false = sK163 ) ),
introduced(definition,[new_symbols(naming,[spl0_327])],[avatar_definition]) ).
thf(f18636,plain,
( ( ( sK8 @ sK163 )
!= ( sK11 @ sK163 ) )
| ~ spl0_56
| ~ spl0_80 ),
inference(negative_extensionality,[status(thm)],[f18623]) ).
thf(f18623,plain,
( ( sK11 != sK8 )
| ~ spl0_56
| ~ spl0_80 ),
inference(trivial_inequality_removal,[status(thm)],[f18616]) ).
thf(f18616,plain,
( ( $true = $false )
| ( sK11 != sK8 )
| ~ spl0_56
| ~ spl0_80 ),
inference(constrained_superposition,[status(thm)],[f726,f549]) ).
thf(f18761,plain,
( spl0_327
| ~ spl0_56
| ~ spl0_80
| ~ spl0_158
| ~ spl0_169 ),
inference(avatar_split_clause,[status(thm)],[f18760,f2743,f2363,f725,f547,f18755]) ).
thf(f18760,plain,
( ( $false = sK163 )
| ~ spl0_56
| ~ spl0_80
| ~ spl0_158
| ~ spl0_169 ),
inference(subsumption_resolution,[status(thm)],[f18759,f2744]) ).
thf(f18759,plain,
( ( $true
!= ( sK11 @ $true ) )
| ( $false = sK163 )
| ~ spl0_56
| ~ spl0_80
| ~ spl0_158 ),
inference(forward_demodulation,[status(thm)],[f18736,f2365]) ).
thf(f18736,plain,
( ( ( sK11 @ $true )
!= ( sK8 @ $true ) )
| ( $false = sK163 )
| ~ spl0_56
| ~ spl0_80 ),
inference(fool_paramodulation,[status(thm)],[f18636]) ).
thf(f18579,plain,
( ~ spl0_31
| ~ spl0_55
| ~ spl0_87
| ~ spl0_101
| ~ spl0_316 ),
inference(avatar_contradiction_clause,[status(thm)],[f18578]) ).
thf(f18578,plain,
( $false
| ~ spl0_31
| ~ spl0_55
| ~ spl0_87
| ~ spl0_101
| ~ spl0_316 ),
inference(subsumption_resolution,[status(thm)],[f18577,f855]) ).
thf(f18577,plain,
( ( $true
!= ( sK8 @ $false ) )
| ~ spl0_31
| ~ spl0_55
| ~ spl0_101
| ~ spl0_316 ),
inference(forward_demodulation,[status(thm)],[f18576,f1231]) ).
thf(f18576,plain,
( ( ( sK8 @ $false )
!= ( sK5 @ $false ) )
| ~ spl0_31
| ~ spl0_55
| ~ spl0_316 ),
inference(forward_demodulation,[status(thm)],[f18480,f18537]) ).
thf(f18537,plain,
( ( sK162 = $false )
| ~ spl0_316 ),
inference(avatar_component_clause,[status(thm)],[f18536]) ).
thf(f18536,definition,
( spl0_316
<=> ( sK162 = $false ) ),
introduced(definition,[new_symbols(naming,[spl0_316])],[avatar_definition]) ).
thf(f18480,plain,
( ( ( sK8 @ sK162 )
!= ( sK5 @ sK162 ) )
| ~ spl0_31
| ~ spl0_55 ),
inference(negative_extensionality,[status(thm)],[f18476]) ).
thf(f18476,plain,
( ( sK8 != sK5 )
| ~ spl0_31
| ~ spl0_55 ),
inference(trivial_inequality_removal,[status(thm)],[f18473]) ).
thf(f18473,plain,
( ( $true = $false )
| ( sK8 != sK5 )
| ~ spl0_31
| ~ spl0_55 ),
inference(constrained_superposition,[status(thm)],[f545,f333]) ).
thf(f333,plain,
( ( ( eps4 @ sK5 )
= $true )
| ~ spl0_31 ),
inference(avatar_component_clause,[status(thm)],[f331]) ).
thf(f545,plain,
( ( ( eps4 @ sK8 )
= $false )
| ~ spl0_55 ),
inference(avatar_component_clause,[status(thm)],[f543]) ).
thf(f18557,plain,
( spl0_316
| ~ spl0_31
| ~ spl0_55
| ~ spl0_121
| ~ spl0_158 ),
inference(avatar_split_clause,[status(thm)],[f18556,f2363,f1531,f543,f331,f18536]) ).
thf(f18556,plain,
( ( sK162 = $false )
| ~ spl0_31
| ~ spl0_55
| ~ spl0_121
| ~ spl0_158 ),
inference(subsumption_resolution,[status(thm)],[f18555,f2365]) ).
thf(f18555,plain,
( ( $true
!= ( sK8 @ $true ) )
| ( sK162 = $false )
| ~ spl0_31
| ~ spl0_55
| ~ spl0_121 ),
inference(forward_demodulation,[status(thm)],[f18526,f1533]) ).
thf(f18526,plain,
( ( sK162 = $false )
| ( ( sK8 @ $true )
!= ( sK5 @ $true ) )
| ~ spl0_31
| ~ spl0_55 ),
inference(fool_paramodulation,[status(thm)],[f18480]) ).
thf(f18461,plain,
( spl0_36
| spl0_34 ),
inference(avatar_split_clause,[status(thm)],[f18077,f344,f354]) ).
thf(f354,definition,
( spl0_36
<=> ( ( sK5 @ ( eps5 @ sK5 ) )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl0_36])],[avatar_definition]) ).
thf(f18077,plain,
! [X1: $o] :
( ( ( sK5 @ ( eps5 @ sK5 ) )
= $true )
| ( $false
= ( sK5 @ X1 ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f18451,plain,
( spl0_35
| ~ spl0_79
| ~ spl0_101
| ~ spl0_111
| ~ spl0_121
| ~ spl0_169 ),
inference(avatar_contradiction_clause,[status(thm)],[f18450]) ).
thf(f18450,plain,
( $false
| spl0_35
| ~ spl0_79
| ~ spl0_101
| ~ spl0_111
| ~ spl0_121
| ~ spl0_169 ),
inference(subsumption_resolution,[status(thm)],[f18449,f1231]) ).
thf(f18449,plain,
( ( $true
!= ( sK5 @ $false ) )
| spl0_35
| ~ spl0_79
| ~ spl0_111
| ~ spl0_121
| ~ spl0_169 ),
inference(forward_demodulation,[status(thm)],[f18448,f18439]) ).
thf(f18439,plain,
( ( sK161 = $false )
| spl0_35
| ~ spl0_79
| ~ spl0_121
| ~ spl0_169 ),
inference(subsumption_resolution,[status(thm)],[f18438,f2744]) ).
thf(f18438,plain,
( ( $true
!= ( sK11 @ $true ) )
| ( sK161 = $false )
| spl0_35
| ~ spl0_79
| ~ spl0_121 ),
inference(forward_demodulation,[status(thm)],[f18425,f1533]) ).
thf(f18425,plain,
( ( sK161 = $false )
| ( ( sK11 @ $true )
!= ( sK5 @ $true ) )
| spl0_35
| ~ spl0_79 ),
inference(fool_paramodulation,[status(thm)],[f18385]) ).
thf(f18385,plain,
( ( ( sK5 @ sK161 )
!= ( sK11 @ sK161 ) )
| spl0_35
| ~ spl0_79 ),
inference(negative_extensionality,[status(thm)],[f18372]) ).
thf(f18372,plain,
( ( sK11 != sK5 )
| spl0_35
| ~ spl0_79 ),
inference(trivial_inequality_removal,[status(thm)],[f18365]) ).
thf(f18365,plain,
( ( sK11 != sK5 )
| ( $false != $false )
| spl0_35
| ~ spl0_79 ),
inference(constrained_superposition,[status(thm)],[f349,f723]) ).
thf(f723,plain,
( ( ( eps5 @ sK11 )
= $false )
| ~ spl0_79 ),
inference(avatar_component_clause,[status(thm)],[f721]) ).
thf(f18448,plain,
( ( ( sK5 @ sK161 )
!= $true )
| spl0_35
| ~ spl0_79
| ~ spl0_111
| ~ spl0_121
| ~ spl0_169 ),
inference(subsumption_resolution,[status(thm)],[f18428,f18439]) ).
thf(f18428,plain,
( ( ( sK5 @ sK161 )
!= $true )
| ( sK161 != $false )
| spl0_35
| ~ spl0_79
| ~ spl0_111 ),
inference(constrained_superposition,[status(thm)],[f18385,f1409]) ).
thf(f18345,plain,
( ~ spl0_57
| ~ spl0_84
| ~ spl0_87
| ~ spl0_111
| ~ spl0_158
| ~ spl0_169 ),
inference(avatar_contradiction_clause,[status(thm)],[f18344]) ).
thf(f18344,plain,
( $false
| ~ spl0_57
| ~ spl0_84
| ~ spl0_87
| ~ spl0_111
| ~ spl0_158
| ~ spl0_169 ),
inference(subsumption_resolution,[status(thm)],[f18343,f855]) ).
thf(f18343,plain,
( ( $true
!= ( sK8 @ $false ) )
| ~ spl0_57
| ~ spl0_84
| ~ spl0_111
| ~ spl0_158
| ~ spl0_169 ),
inference(forward_demodulation,[status(thm)],[f18342,f18329]) ).
thf(f18329,plain,
( ( $false = sK159 )
| ~ spl0_57
| ~ spl0_84
| ~ spl0_158
| ~ spl0_169 ),
inference(subsumption_resolution,[status(thm)],[f18328,f2744]) ).
thf(f18328,plain,
( ( $false = sK159 )
| ( $true
!= ( sK11 @ $true ) )
| ~ spl0_57
| ~ spl0_84
| ~ spl0_158 ),
inference(forward_demodulation,[status(thm)],[f18310,f2365]) ).
thf(f18310,plain,
( ( $false = sK159 )
| ( ( sK11 @ $true )
!= ( sK8 @ $true ) )
| ~ spl0_57
| ~ spl0_84 ),
inference(fool_paramodulation,[status(thm)],[f18231]) ).
thf(f18231,plain,
( ( ( sK11 @ sK159 )
!= ( sK8 @ sK159 ) )
| ~ spl0_57
| ~ spl0_84 ),
inference(negative_extensionality,[status(thm)],[f18221]) ).
thf(f18221,plain,
( ( sK11 != sK8 )
| ~ spl0_57
| ~ spl0_84 ),
inference(trivial_inequality_removal,[status(thm)],[f18216]) ).
thf(f18216,plain,
( ( $true = $false )
| ( sK11 != sK8 )
| ~ spl0_57
| ~ spl0_84 ),
inference(constrained_superposition,[status(thm)],[f553,f745]) ).
thf(f553,plain,
( ( $true
= ( eps1 @ sK8 ) )
| ~ spl0_57 ),
inference(avatar_component_clause,[status(thm)],[f552]) ).
thf(f552,definition,
( spl0_57
<=> ( $true
= ( eps1 @ sK8 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_57])],[avatar_definition]) ).
thf(f18342,plain,
( ( $true
!= ( sK8 @ sK159 ) )
| ~ spl0_57
| ~ spl0_84
| ~ spl0_111
| ~ spl0_158
| ~ spl0_169 ),
inference(subsumption_resolution,[status(thm)],[f18313,f18329]) ).
thf(f18313,plain,
( ( $true
!= ( sK8 @ sK159 ) )
| ( $false != sK159 )
| ~ spl0_57
| ~ spl0_84
| ~ spl0_111 ),
inference(constrained_superposition,[status(thm)],[f18231,f1409]) ).
thf(f18327,plain,
( spl0_312
| ~ spl0_310
| ~ spl0_57
| ~ spl0_84 ),
inference(avatar_split_clause,[status(thm)],[f18311,f743,f552,f18315,f18324]) ).
thf(f18311,plain,
( ( ( sK11 @ sK159 )
= $false )
| ( $true
!= ( sK8 @ sK159 ) )
| ~ spl0_57
| ~ spl0_84 ),
inference(fool_paramodulation,[status(thm)],[f18231]) ).
thf(f18206,plain,
( ~ spl0_309
| spl0_305
| ~ spl0_81
| ~ spl0_243 ),
inference(avatar_split_clause,[status(thm)],[f18205,f10795,f730,f18086,f18192]) ).
thf(f18205,plain,
( ( sK11 != sK4 )
| ( $true
= ( eps5 @ sK4 ) )
| ~ spl0_81
| ~ spl0_243 ),
inference(forward_demodulation,[status(thm)],[f18202,f10796]) ).
thf(f18202,plain,
( ( sK11 != sK10 )
| ( $true
= ( eps5 @ sK4 ) )
| ~ spl0_81
| ~ spl0_243 ),
inference(constrained_superposition,[status(thm)],[f732,f10796]) ).
thf(f18195,plain,
( ~ spl0_308
| ~ spl0_309
| spl0_79
| ~ spl0_243 ),
inference(avatar_split_clause,[status(thm)],[f18186,f10795,f721,f18192,f18188]) ).
thf(f18186,plain,
( ( ( eps5 @ sK4 )
!= $false )
| ( sK11 != sK4 )
| spl0_79
| ~ spl0_243 ),
inference(forward_demodulation,[status(thm)],[f18183,f10796]) ).
thf(f18183,plain,
( ( ( eps5 @ sK4 )
!= $false )
| ( sK11 != sK10 )
| spl0_79
| ~ spl0_243 ),
inference(constrained_superposition,[status(thm)],[f722,f10796]) ).
thf(f722,plain,
( ( ( eps5 @ sK11 )
!= $false )
| spl0_79 ),
inference(avatar_component_clause,[status(thm)],[f721]) ).
thf(f17749,plain,
( ~ spl0_20
| spl0_76
| ~ spl0_243 ),
inference(avatar_split_clause,[status(thm)],[f17746,f10795,f686,f218]) ).
thf(f17746,plain,
( ( ( eps2 @ sK4 )
!= $false )
| spl0_76
| ~ spl0_243 ),
inference(backward_demodulation,[status(thm)],[f687,f10796]) ).
thf(f687,plain,
( ( ( eps2 @ sK10 )
!= $false )
| spl0_76 ),
inference(avatar_component_clause,[status(thm)],[f686]) ).
thf(f17730,plain,
( spl0_134
| ~ spl0_67
| ~ spl0_129 ),
inference(avatar_split_clause,[status(thm)],[f17729,f1725,f620,f1766]) ).
thf(f17729,plain,
( ( ( eps5 @ sK2 )
= $true )
| ~ spl0_67
| ~ spl0_129 ),
inference(forward_demodulation,[status(thm)],[f622,f1726]) ).
thf(f1726,plain,
( ( sK9 = sK2 )
| ~ spl0_129 ),
inference(avatar_component_clause,[status(thm)],[f1725]) ).
thf(f17709,plain,
( spl0_37
| spl0_10
| ~ spl0_14 ),
inference(avatar_split_clause,[status(thm)],[f15168,f169,f151,f373]) ).
thf(f373,definition,
( spl0_37
<=> ( ( sK3 @ $false )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl0_37])],[avatar_definition]) ).
thf(f151,definition,
( spl0_10
<=> ! [X1: $o] :
( ( sK3 @ X1 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_10])],[avatar_definition]) ).
thf(f15168,plain,
( ! [X1: $o] :
( ( ( sK3 @ $false )
= $true )
| ( ( sK3 @ X1 )
= $false ) )
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f12492,f171]) ).
thf(f12492,plain,
! [X1: $o] :
( ( ( sK3 @ X1 )
= $false )
| ( $true
= ( sK3 @ ( eps3 @ sK3 ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f17695,plain,
( spl0_23
| ~ spl0_130
| ~ spl0_142 ),
inference(avatar_split_clause,[status(thm)],[f17694,f1961,f1731,f257]) ).
thf(f1731,definition,
( spl0_130
<=> ( sK6 = sK2 ) ),
introduced(definition,[new_symbols(naming,[spl0_130])],[avatar_definition]) ).
thf(f1961,definition,
( spl0_142
<=> ( sK3 = sK6 ) ),
introduced(definition,[new_symbols(naming,[spl0_142])],[avatar_definition]) ).
thf(f17694,plain,
( ( sK3 = sK2 )
| ~ spl0_130
| ~ spl0_142 ),
inference(forward_demodulation,[status(thm)],[f1962,f1732]) ).
thf(f1732,plain,
( ( sK6 = sK2 )
| ~ spl0_130 ),
inference(avatar_component_clause,[status(thm)],[f1731]) ).
thf(f1962,plain,
( ( sK3 = sK6 )
| ~ spl0_142 ),
inference(avatar_component_clause,[status(thm)],[f1961]) ).
thf(f17693,plain,
( spl0_253
| spl0_10
| ~ spl0_8 ),
inference(avatar_split_clause,[status(thm)],[f17006,f142,f151,f11847]) ).
thf(f11847,definition,
( spl0_253
<=> ( $true
= ( sK3 @ $true ) ) ),
introduced(definition,[new_symbols(naming,[spl0_253])],[avatar_definition]) ).
thf(f17006,plain,
( ! [X1: $o] :
( ( $true
= ( sK3 @ $true ) )
| ( ( sK3 @ X1 )
= $false ) )
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f17000,f144]) ).
thf(f17000,plain,
! [X1: $o] :
( ( $true
= ( sK3 @ ( eps5 @ sK3 ) ) )
| ( ( sK3 @ X1 )
= $false ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f17675,plain,
( spl0_4
| ~ spl0_65
| ~ spl0_129 ),
inference(avatar_split_clause,[status(thm)],[f17674,f1725,f610,f106]) ).
thf(f17674,plain,
( ( ( eps2 @ sK2 )
= $false )
| ~ spl0_65
| ~ spl0_129 ),
inference(forward_demodulation,[status(thm)],[f612,f1726]) ).
thf(f17547,plain,
( ~ spl0_24
| ~ spl0_130
| ~ spl0_131 ),
inference(avatar_split_clause,[status(thm)],[f17546,f1735,f1731,f261]) ).
thf(f17546,plain,
( ( ( eps3 @ sK2 )
!= $false )
| ~ spl0_130
| ~ spl0_131 ),
inference(forward_demodulation,[status(thm)],[f17545,f1737]) ).
thf(f1737,plain,
( ( ( eps1 @ sK2 )
= $false )
| ~ spl0_131 ),
inference(avatar_component_clause,[status(thm)],[f1735]) ).
thf(f17545,plain,
( ( ( eps3 @ sK2 )
!= ( eps1 @ sK2 ) )
| ~ spl0_130 ),
inference(forward_demodulation,[status(thm)],[f81,f1732]) ).
thf(f17528,plain,
( ~ spl0_134
| ~ spl0_6
| ~ spl0_129 ),
inference(avatar_split_clause,[status(thm)],[f17527,f1725,f115,f1766]) ).
thf(f17527,plain,
( ( ( eps5 @ sK2 )
!= $true )
| ~ spl0_6
| ~ spl0_129 ),
inference(backward_demodulation,[status(thm)],[f16582,f117]) ).
thf(f16582,plain,
( ( ( eps2 @ sK2 )
!= ( eps5 @ sK2 ) )
| ~ spl0_129 ),
inference(forward_demodulation,[status(thm)],[f84,f1726]) ).
thf(f17519,plain,
( spl0_5
| ~ spl0_51
| ~ spl0_52 ),
inference(avatar_split_clause,[status(thm)],[f17518,f504,f499,f110]) ).
thf(f504,definition,
( spl0_52
<=> ( sK2 = sK7 ) ),
introduced(definition,[new_symbols(naming,[spl0_52])],[avatar_definition]) ).
thf(f17518,plain,
( ( ( eps4 @ sK2 )
= $false )
| ~ spl0_51
| ~ spl0_52 ),
inference(forward_demodulation,[status(thm)],[f501,f505]) ).
thf(f505,plain,
( ( sK2 = sK7 )
| ~ spl0_52 ),
inference(avatar_component_clause,[status(thm)],[f504]) ).
thf(f501,plain,
( ( ( eps4 @ sK7 )
= $false )
| ~ spl0_51 ),
inference(avatar_component_clause,[status(thm)],[f499]) ).
thf(f17516,plain,
( spl0_6
| ~ spl0_63
| ~ spl0_129 ),
inference(avatar_split_clause,[status(thm)],[f17515,f1725,f601,f115]) ).
thf(f17515,plain,
( ( ( eps2 @ sK2 )
= $true )
| ~ spl0_63
| ~ spl0_129 ),
inference(forward_demodulation,[status(thm)],[f602,f1726]) ).
thf(f602,plain,
( ( $true
= ( eps2 @ sK9 ) )
| ~ spl0_63 ),
inference(avatar_component_clause,[status(thm)],[f601]) ).
thf(f17509,plain,
( spl0_26
| ~ spl0_50
| ~ spl0_52 ),
inference(avatar_split_clause,[status(thm)],[f17508,f504,f495,f273]) ).
thf(f495,definition,
( spl0_50
<=> ( $true
= ( eps3 @ sK7 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_50])],[avatar_definition]) ).
thf(f17508,plain,
( ( $true
= ( eps3 @ sK2 ) )
| ~ spl0_50
| ~ spl0_52 ),
inference(forward_demodulation,[status(thm)],[f496,f505]) ).
thf(f496,plain,
( ( $true
= ( eps3 @ sK7 ) )
| ~ spl0_50 ),
inference(avatar_component_clause,[status(thm)],[f495]) ).
thf(f17507,plain,
( ~ spl0_24
| spl0_38
| ~ spl0_130 ),
inference(avatar_split_clause,[status(thm)],[f17505,f1731,f419,f261]) ).
thf(f17505,plain,
( ( ( eps3 @ sK2 )
!= $false )
| spl0_38
| ~ spl0_130 ),
inference(backward_demodulation,[status(thm)],[f420,f1732]) ).
thf(f17503,plain,
( ~ spl0_24
| ~ spl0_52
| spl0_53 ),
inference(avatar_split_clause,[status(thm)],[f17502,f508,f504,f261]) ).
thf(f17502,plain,
( ( ( eps3 @ sK2 )
!= $false )
| ~ spl0_52
| spl0_53 ),
inference(forward_demodulation,[status(thm)],[f510,f505]) ).
thf(f510,plain,
( ( ( eps3 @ sK7 )
!= $false )
| spl0_53 ),
inference(avatar_component_clause,[status(thm)],[f508]) ).
thf(f17487,plain,
( ~ spl0_37
| spl0_296
| ~ spl0_299 ),
inference(avatar_contradiction_clause,[status(thm)],[f17486]) ).
thf(f17486,plain,
( $false
| ~ spl0_37
| spl0_296
| ~ spl0_299 ),
inference(subsumption_resolution,[status(thm)],[f17485,f375]) ).
thf(f375,plain,
( ( ( sK3 @ $false )
= $true )
| ~ spl0_37 ),
inference(avatar_component_clause,[status(thm)],[f373]) ).
thf(f17485,plain,
( ( ( sK3 @ $false )
!= $true )
| spl0_296
| ~ spl0_299 ),
inference(backward_demodulation,[status(thm)],[f17439,f17452]) ).
thf(f17452,plain,
( ( sK153 = $false )
| ~ spl0_299 ),
inference(avatar_component_clause,[status(thm)],[f17451]) ).
thf(f17451,definition,
( spl0_299
<=> ( sK153 = $false ) ),
introduced(definition,[new_symbols(naming,[spl0_299])],[avatar_definition]) ).
thf(f17439,plain,
( ( $true
!= ( sK3 @ sK153 ) )
| spl0_296 ),
inference(avatar_component_clause,[status(thm)],[f17437]) ).
thf(f17437,definition,
( spl0_296
<=> ( $true
= ( sK3 @ sK153 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_296])],[avatar_definition]) ).
thf(f17472,plain,
( spl0_299
| ~ spl0_93
| spl0_142
| ~ spl0_253 ),
inference(avatar_split_clause,[status(thm)],[f17471,f11847,f1961,f1017,f17451]) ).
thf(f17471,plain,
( ( sK153 = $false )
| ~ spl0_93
| spl0_142
| ~ spl0_253 ),
inference(subsumption_resolution,[status(thm)],[f17470,f11849]) ).
thf(f11849,plain,
( ( $true
= ( sK3 @ $true ) )
| ~ spl0_253 ),
inference(avatar_component_clause,[status(thm)],[f11847]) ).
thf(f17470,plain,
( ( sK153 = $false )
| ( $true
!= ( sK3 @ $true ) )
| ~ spl0_93
| spl0_142 ),
inference(forward_demodulation,[status(thm)],[f17429,f1019]) ).
thf(f17429,plain,
( ( sK153 = $false )
| ( ( sK3 @ $true )
!= ( sK6 @ $true ) )
| spl0_142 ),
inference(fool_paramodulation,[status(thm)],[f16917]) ).
thf(f16917,plain,
( ( ( sK3 @ sK153 )
!= ( sK6 @ sK153 ) )
| spl0_142 ),
inference(negative_extensionality,[status(thm)],[f1963]) ).
thf(f1963,plain,
( ( sK3 != sK6 )
| spl0_142 ),
inference(avatar_component_clause,[status(thm)],[f1961]) ).
thf(f17454,plain,
( ~ spl0_296
| ~ spl0_299
| ~ spl0_92
| spl0_142 ),
inference(avatar_split_clause,[status(thm)],[f17435,f1961,f1009,f17451,f17437]) ).
thf(f17435,plain,
( ( $true
!= ( sK3 @ sK153 ) )
| ( sK153 != $false )
| ~ spl0_92
| spl0_142 ),
inference(constrained_superposition,[status(thm)],[f16917,f1011]) ).
thf(f17028,plain,
( ~ spl0_110
| spl0_150
| spl0_152 ),
inference(avatar_contradiction_clause,[status(thm)],[f17027]) ).
thf(f17027,plain,
( $false
| ~ spl0_110
| spl0_150
| spl0_152 ),
inference(subsumption_resolution,[status(thm)],[f17026,f1342]) ).
thf(f17026,plain,
( ( $true
!= ( sK10 @ $true ) )
| spl0_150
| spl0_152 ),
inference(subsumption_resolution,[status(thm)],[f17019,f2171]) ).
thf(f2171,plain,
( ( sK19 != $false )
| spl0_152 ),
inference(avatar_component_clause,[status(thm)],[f2170]) ).
thf(f2170,definition,
( spl0_152
<=> ( sK19 = $false ) ),
introduced(definition,[new_symbols(naming,[spl0_152])],[avatar_definition]) ).
thf(f17019,plain,
( ( sK19 = $false )
| ( $true
!= ( sK10 @ $true ) )
| spl0_150 ),
inference(fool_paramodulation,[status(thm)],[f2076]) ).
thf(f2076,plain,
( ( ( sK10 @ sK19 )
!= $true )
| spl0_150 ),
inference(avatar_component_clause,[status(thm)],[f2075]) ).
thf(f2075,definition,
( spl0_150
<=> ( ( sK10 @ sK19 )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl0_150])],[avatar_definition]) ).
thf(f16639,plain,
( ~ spl0_21
| spl0_145
| ~ spl0_146 ),
inference(avatar_contradiction_clause,[status(thm)],[f16638]) ).
thf(f16638,plain,
( $false
| ~ spl0_21
| spl0_145
| ~ spl0_146 ),
inference(subsumption_resolution,[status(thm)],[f16637,f1979]) ).
thf(f16637,plain,
( ( $false
= ( eps1 @ sK3 ) )
| ~ spl0_21
| ~ spl0_146 ),
inference(forward_demodulation,[status(thm)],[f224,f1984]) ).
thf(f1984,plain,
( ( sK4 = sK3 )
| ~ spl0_146 ),
inference(avatar_component_clause,[status(thm)],[f1983]) ).
thf(f1983,definition,
( spl0_146
<=> ( sK4 = sK3 ) ),
introduced(definition,[new_symbols(naming,[spl0_146])],[avatar_definition]) ).
thf(f16586,plain,
( spl0_24
| ~ spl0_52
| ~ spl0_53 ),
inference(avatar_split_clause,[status(thm)],[f16585,f508,f504,f261]) ).
thf(f16585,plain,
( ( ( eps3 @ sK2 )
= $false )
| ~ spl0_52
| ~ spl0_53 ),
inference(forward_demodulation,[status(thm)],[f509,f505]) ).
thf(f16495,plain,
( spl0_147
| ~ spl0_29
| ~ spl0_30 ),
inference(avatar_split_clause,[status(thm)],[f16371,f326,f322,f2000]) ).
thf(f16371,plain,
( ( ( eps4 @ sK3 )
= $false )
| ~ spl0_29
| ~ spl0_30 ),
inference(forward_demodulation,[status(thm)],[f323,f327]) ).
thf(f16475,plain,
( spl0_91
| spl0_68
| ~ spl0_65 ),
inference(avatar_split_clause,[status(thm)],[f16474,f610,f625,f993]) ).
thf(f16474,plain,
( ! [X1: $o] :
( ( ( sK9 @ X1 )
= $false )
| ( $true
= ( sK9 @ $false ) ) )
| ~ spl0_65 ),
inference(forward_demodulation,[status(thm)],[f13253,f612]) ).
thf(f13253,plain,
! [X1: $o] :
( ( $true
= ( sK9 @ ( eps2 @ sK9 ) ) )
| ( ( sK9 @ X1 )
= $false ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f16439,plain,
( spl0_144
| ~ spl0_16
| ~ spl0_146 ),
inference(avatar_split_clause,[status(thm)],[f16431,f1983,f200,f1971]) ).
thf(f16431,plain,
( ( $true
= ( eps1 @ sK3 ) )
| ~ spl0_16
| ~ spl0_146 ),
inference(backward_demodulation,[status(thm)],[f202,f1984]) ).
thf(f202,plain,
( ( $true
= ( eps1 @ sK4 ) )
| ~ spl0_16 ),
inference(avatar_component_clause,[status(thm)],[f200]) ).
thf(f16402,plain,
( ~ spl0_2
| ~ spl0_293 ),
inference(avatar_contradiction_clause,[status(thm)],[f16401]) ).
thf(f16401,plain,
( $false
| ~ spl0_2
| ~ spl0_293 ),
inference(trivial_inequality_removal,[status(thm)],[f16392]) ).
thf(f16392,plain,
( ( $true = $false )
| ~ spl0_2
| ~ spl0_293 ),
inference(backward_demodulation,[status(thm)],[f14904,f98]) ).
thf(f98,plain,
( ! [X1: $o] :
( ( sK2 @ X1 )
= $false )
| ~ spl0_2 ),
inference(avatar_component_clause,[status(thm)],[f97]) ).
thf(f97,definition,
( spl0_2
<=> ! [X1: $o] :
( ( sK2 @ X1 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_2])],[avatar_definition]) ).
thf(f14904,plain,
( ( $true
= ( sK2 @ sK137 ) )
| ~ spl0_293 ),
inference(avatar_component_clause,[status(thm)],[f14902]) ).
thf(f14902,definition,
( spl0_293
<=> ( $true
= ( sK2 @ sK137 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_293])],[avatar_definition]) ).
thf(f16398,plain,
( ~ spl0_2
| ~ spl0_287 ),
inference(avatar_contradiction_clause,[status(thm)],[f16397]) ).
thf(f16397,plain,
( $false
| ~ spl0_2
| ~ spl0_287 ),
inference(trivial_inequality_removal,[status(thm)],[f16394]) ).
thf(f16394,plain,
( ( $true = $false )
| ~ spl0_2
| ~ spl0_287 ),
inference(backward_demodulation,[status(thm)],[f14310,f98]) ).
thf(f14310,plain,
( ( $true
= ( sK2 @ sK140 ) )
| ~ spl0_287 ),
inference(avatar_component_clause,[status(thm)],[f14309]) ).
thf(f14309,definition,
( spl0_287
<=> ( $true
= ( sK2 @ sK140 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_287])],[avatar_definition]) ).
thf(f16364,plain,
( spl0_225
| ~ spl0_228
| ~ spl0_253 ),
inference(avatar_contradiction_clause,[status(thm)],[f16363]) ).
thf(f16363,plain,
( $false
| spl0_225
| ~ spl0_228
| ~ spl0_253 ),
inference(subsumption_resolution,[status(thm)],[f16362,f11849]) ).
thf(f16362,plain,
( ( $true
!= ( sK3 @ $true ) )
| spl0_225
| ~ spl0_228 ),
inference(backward_demodulation,[status(thm)],[f7276,f7289]) ).
thf(f7289,plain,
( ( sK68 = $true )
| ~ spl0_228 ),
inference(avatar_component_clause,[status(thm)],[f7288]) ).
thf(f7288,definition,
( spl0_228
<=> ( sK68 = $true ) ),
introduced(definition,[new_symbols(naming,[spl0_228])],[avatar_definition]) ).
thf(f7276,plain,
( ( $true
!= ( sK3 @ sK68 ) )
| spl0_225 ),
inference(avatar_component_clause,[status(thm)],[f7274]) ).
thf(f7274,definition,
( spl0_225
<=> ( $true
= ( sK3 @ sK68 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_225])],[avatar_definition]) ).
thf(f16349,plain,
( ~ spl0_25
| spl0_79
| ~ spl0_132 ),
inference(avatar_split_clause,[status(thm)],[f16348,f1742,f721,f267]) ).
thf(f16348,plain,
( ( ( eps5 @ sK2 )
!= $false )
| spl0_79
| ~ spl0_132 ),
inference(forward_demodulation,[status(thm)],[f722,f1743]) ).
thf(f16347,plain,
( ~ spl0_8
| ~ spl0_30
| ~ spl0_54
| ~ spl0_184 ),
inference(avatar_contradiction_clause,[status(thm)],[f16346]) ).
thf(f16346,plain,
( $false
| ~ spl0_8
| ~ spl0_30
| ~ spl0_54
| ~ spl0_184 ),
inference(subsumption_resolution,[status(thm)],[f16091,f16301]) ).
thf(f16301,plain,
( ( $true
!= ( eps4 @ sK3 ) )
| ~ spl0_8
| ~ spl0_30 ),
inference(forward_demodulation,[status(thm)],[f16300,f144]) ).
thf(f16300,plain,
( ( ( eps4 @ sK3 )
!= ( eps5 @ sK3 ) )
| ~ spl0_30 ),
inference(forward_demodulation,[status(thm)],[f80,f327]) ).
thf(f16091,plain,
( ( $true
= ( eps4 @ sK3 ) )
| ~ spl0_54
| ~ spl0_184 ),
inference(forward_demodulation,[status(thm)],[f515,f3580]) ).
thf(f3580,plain,
( ( sK3 = sK7 )
| ~ spl0_184 ),
inference(avatar_component_clause,[status(thm)],[f3579]) ).
thf(f3579,definition,
( spl0_184
<=> ( sK3 = sK7 ) ),
introduced(definition,[new_symbols(naming,[spl0_184])],[avatar_definition]) ).
thf(f515,plain,
( ( ( eps4 @ sK7 )
= $true )
| ~ spl0_54 ),
inference(avatar_component_clause,[status(thm)],[f513]) ).
thf(f513,definition,
( spl0_54
<=> ( ( eps4 @ sK7 )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl0_54])],[avatar_definition]) ).
thf(f16311,plain,
( spl0_253
| ~ spl0_8
| ~ spl0_11 ),
inference(avatar_split_clause,[status(thm)],[f16310,f154,f142,f11847]) ).
thf(f154,definition,
( spl0_11
<=> ( $true
= ( sK3 @ ( eps5 @ sK3 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_11])],[avatar_definition]) ).
thf(f16310,plain,
( ( $true
= ( sK3 @ $true ) )
| ~ spl0_8
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f156,f144]) ).
thf(f156,plain,
( ( $true
= ( sK3 @ ( eps5 @ sK3 ) ) )
| ~ spl0_11 ),
inference(avatar_component_clause,[status(thm)],[f154]) ).
thf(f16305,plain,
( spl0_131
| ~ spl0_84
| ~ spl0_132 ),
inference(avatar_split_clause,[status(thm)],[f16304,f1742,f743,f1735]) ).
thf(f16304,plain,
( ( ( eps1 @ sK2 )
= $false )
| ~ spl0_84
| ~ spl0_132 ),
inference(forward_demodulation,[status(thm)],[f745,f1743]) ).
thf(f16273,plain,
( ~ spl0_206
| spl0_82
| ~ spl0_132 ),
inference(avatar_split_clause,[status(thm)],[f16272,f1742,f735,f4193]) ).
thf(f4193,definition,
( spl0_206
<=> ( $true
= ( sK2 @ ( eps1 @ sK2 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_206])],[avatar_definition]) ).
thf(f16272,plain,
( ( $true
!= ( sK2 @ ( eps1 @ sK2 ) ) )
| spl0_82
| ~ spl0_132 ),
inference(forward_demodulation,[status(thm)],[f736,f1743]) ).
thf(f736,plain,
( ( $true
!= ( sK11 @ ( eps1 @ sK11 ) ) )
| spl0_82 ),
inference(avatar_component_clause,[status(thm)],[f735]) ).
thf(f16271,plain,
( ~ spl0_205
| spl0_86
| ~ spl0_132 ),
inference(avatar_split_clause,[status(thm)],[f16270,f1742,f753,f4156]) ).
thf(f4156,definition,
( spl0_205
<=> ( $true
= ( sK2 @ ( eps5 @ sK2 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_205])],[avatar_definition]) ).
thf(f16270,plain,
( ( $true
!= ( sK2 @ ( eps5 @ sK2 ) ) )
| spl0_86
| ~ spl0_132 ),
inference(forward_demodulation,[status(thm)],[f754,f1743]) ).
thf(f754,plain,
( ( $true
!= ( sK11 @ ( eps5 @ sK11 ) ) )
| spl0_86 ),
inference(avatar_component_clause,[status(thm)],[f753]) ).
thf(f16261,plain,
( spl0_2
| spl0_109
| ~ spl0_4 ),
inference(avatar_split_clause,[status(thm)],[f16260,f106,f1323,f97]) ).
thf(f1323,definition,
( spl0_109
<=> ( $true
= ( sK2 @ $false ) ) ),
introduced(definition,[new_symbols(naming,[spl0_109])],[avatar_definition]) ).
thf(f16260,plain,
( ! [X1: $o] :
( ( $true
= ( sK2 @ $false ) )
| ( ( sK2 @ X1 )
= $false ) )
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f11177,f108]) ).
thf(f11177,plain,
! [X1: $o] :
( ( $true
= ( sK2 @ ( eps2 @ sK2 ) ) )
| ( ( sK2 @ X1 )
= $false ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f16253,plain,
( spl0_180
| spl0_2
| ~ spl0_7 ),
inference(avatar_split_clause,[status(thm)],[f15983,f119,f97,f3060]) ).
thf(f3060,definition,
( spl0_180
<=> ( $true
= ( sK2 @ $true ) ) ),
introduced(definition,[new_symbols(naming,[spl0_180])],[avatar_definition]) ).
thf(f15983,plain,
( ! [X1: $o] :
( ( ( sK2 @ X1 )
= $false )
| ( $true
= ( sK2 @ $true ) ) )
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f11338,f121]) ).
thf(f121,plain,
( ( $true
= ( eps4 @ sK2 ) )
| ~ spl0_7 ),
inference(avatar_component_clause,[status(thm)],[f119]) ).
thf(f11338,plain,
! [X1: $o] :
( ( $true
= ( sK2 @ ( eps4 @ sK2 ) ) )
| ( ( sK2 @ X1 )
= $false ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f16227,plain,
( spl0_25
| ~ spl0_35
| ~ spl0_128 ),
inference(avatar_split_clause,[status(thm)],[f16226,f1721,f348,f267]) ).
thf(f16226,plain,
( ( ( eps5 @ sK2 )
= $false )
| ~ spl0_35
| ~ spl0_128 ),
inference(forward_demodulation,[status(thm)],[f350,f1722]) ).
thf(f16202,plain,
( ~ spl0_24
| ~ spl0_4
| ~ spl0_183 ),
inference(avatar_split_clause,[status(thm)],[f16201,f3485,f106,f261]) ).
thf(f16201,plain,
( ( ( eps3 @ sK2 )
!= $false )
| ~ spl0_4
| ~ spl0_183 ),
inference(forward_demodulation,[status(thm)],[f15910,f108]) ).
thf(f15910,plain,
( ( ( eps2 @ sK2 )
!= ( eps3 @ sK2 ) )
| ~ spl0_183 ),
inference(forward_demodulation,[status(thm)],[f85,f3486]) ).
thf(f16191,plain,
( spl0_25
| ~ spl0_79
| ~ spl0_132 ),
inference(avatar_split_clause,[status(thm)],[f16188,f1742,f721,f267]) ).
thf(f16188,plain,
( ( ( eps5 @ sK2 )
= $false )
| ~ spl0_79
| ~ spl0_132 ),
inference(backward_demodulation,[status(thm)],[f723,f1743]) ).
thf(f16166,plain,
( ~ spl0_21
| ~ spl0_20 ),
inference(avatar_split_clause,[status(thm)],[f16165,f218,f222]) ).
thf(f16165,plain,
( ( ( eps1 @ sK4 )
!= $false )
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f79,f220]) ).
thf(f220,plain,
( ( ( eps2 @ sK4 )
= $false )
| ~ spl0_20 ),
inference(avatar_component_clause,[status(thm)],[f218]) ).
thf(f79,plain,
( ( eps1 @ sK4 )
!= ( eps2 @ sK4 ) ),
inference(negative_extensionality,[status(thm)],[f42]) ).
thf(f42,plain,
eps1 != eps2,
inference(cnf_transformation,[status(thm)],[f17]) ).
thf(f17,plain,
eps1 != eps2,
inference(fool_elimination,[status(thm)],[f6]) ).
thf(f6,axiom,
eps1 != eps2,
file('/export/starexec/sandbox2/tmp/tmp.2wiz2zWszC/DTF2THF_5231.p',choiceax12) ).
thf(f16163,plain,
( spl0_2
| spl0_206 ),
inference(avatar_split_clause,[status(thm)],[f11523,f4193,f97]) ).
thf(f11523,plain,
! [X1: $o] :
( ( ( sK2 @ X1 )
= $false )
| ( $true
= ( sK2 @ ( eps1 @ sK2 ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f16159,plain,
( spl0_224
| ~ spl0_65
| ~ spl0_66 ),
inference(avatar_split_clause,[status(thm)],[f16158,f615,f610,f7046]) ).
thf(f615,definition,
( spl0_66
<=> ( sK9 = sK3 ) ),
introduced(definition,[new_symbols(naming,[spl0_66])],[avatar_definition]) ).
thf(f16158,plain,
( ( $false
= ( eps2 @ sK3 ) )
| ~ spl0_65
| ~ spl0_66 ),
inference(forward_demodulation,[status(thm)],[f612,f616]) ).
thf(f616,plain,
( ( sK9 = sK3 )
| ~ spl0_66 ),
inference(avatar_component_clause,[status(thm)],[f615]) ).
thf(f16153,plain,
( spl0_24
| ~ spl0_38
| ~ spl0_130 ),
inference(avatar_split_clause,[status(thm)],[f16152,f1731,f419,f261]) ).
thf(f16152,plain,
( ( ( eps3 @ sK2 )
= $false )
| ~ spl0_38
| ~ spl0_130 ),
inference(forward_demodulation,[status(thm)],[f421,f1732]) ).
thf(f421,plain,
( ( ( eps3 @ sK6 )
= $false )
| ~ spl0_38 ),
inference(avatar_component_clause,[status(thm)],[f419]) ).
thf(f16151,plain,
( spl0_133
| ~ spl0_42
| ~ spl0_130 ),
inference(avatar_split_clause,[status(thm)],[f16150,f1731,f436,f1758]) ).
thf(f16150,plain,
( ( $true
= ( eps1 @ sK2 ) )
| ~ spl0_42
| ~ spl0_130 ),
inference(forward_demodulation,[status(thm)],[f437,f1732]) ).
thf(f16143,plain,
( spl0_111
| spl0_83
| ~ spl0_79 ),
inference(avatar_split_clause,[status(thm)],[f16142,f721,f739,f1407]) ).
thf(f16142,plain,
( ! [X1: $o] :
( ( ( sK11 @ $false )
= $true )
| ( $false
= ( sK11 @ X1 ) ) )
| ~ spl0_79 ),
inference(forward_demodulation,[status(thm)],[f13319,f723]) ).
thf(f13319,plain,
! [X1: $o] :
( ( $true
= ( sK11 @ ( eps5 @ sK11 ) ) )
| ( $false
= ( sK11 @ X1 ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f16140,plain,
( spl0_146
| ~ spl0_66
| ~ spl0_178 ),
inference(avatar_split_clause,[status(thm)],[f16139,f2980,f615,f1983]) ).
thf(f16139,plain,
( ( sK4 = sK3 )
| ~ spl0_66
| ~ spl0_178 ),
inference(backward_demodulation,[status(thm)],[f2981,f616]) ).
thf(f16112,plain,
( ~ spl0_131
| spl0_39
| ~ spl0_130 ),
inference(avatar_split_clause,[status(thm)],[f16111,f1731,f423,f1735]) ).
thf(f16111,plain,
( ( ( eps1 @ sK2 )
!= $false )
| spl0_39
| ~ spl0_130 ),
inference(forward_demodulation,[status(thm)],[f424,f1732]) ).
thf(f16100,plain,
( ~ spl0_8
| ~ spl0_30
| spl0_32 ),
inference(avatar_contradiction_clause,[status(thm)],[f16099]) ).
thf(f16099,plain,
( $false
| ~ spl0_8
| ~ spl0_30
| spl0_32 ),
inference(subsumption_resolution,[status(thm)],[f16098,f144]) ).
thf(f16098,plain,
( ( $true
!= ( eps5 @ sK3 ) )
| ~ spl0_30
| spl0_32 ),
inference(forward_demodulation,[status(thm)],[f336,f327]) ).
thf(f16090,plain,
( spl0_13
| ~ spl0_30
| ~ spl0_35 ),
inference(avatar_contradiction_clause,[status(thm)],[f16089]) ).
thf(f16089,plain,
( $false
| spl0_13
| ~ spl0_30
| ~ spl0_35 ),
inference(subsumption_resolution,[status(thm)],[f16088,f165]) ).
thf(f16088,plain,
( ( $false
= ( eps5 @ sK3 ) )
| ~ spl0_30
| ~ spl0_35 ),
inference(forward_demodulation,[status(thm)],[f350,f327]) ).
thf(f16082,plain,
( ~ spl0_147
| spl0_29
| ~ spl0_30 ),
inference(avatar_split_clause,[status(thm)],[f16081,f326,f322,f2000]) ).
thf(f16081,plain,
( ( ( eps4 @ sK3 )
!= $false )
| spl0_29
| ~ spl0_30 ),
inference(forward_demodulation,[status(thm)],[f324,f327]) ).
thf(f324,plain,
( ( ( eps4 @ sK5 )
!= $false )
| spl0_29 ),
inference(avatar_component_clause,[status(thm)],[f322]) ).
thf(f16080,plain,
( spl0_13
| ~ spl0_79
| ~ spl0_85 ),
inference(avatar_contradiction_clause,[status(thm)],[f16079]) ).
thf(f16079,plain,
( $false
| spl0_13
| ~ spl0_79
| ~ spl0_85 ),
inference(subsumption_resolution,[status(thm)],[f16078,f165]) ).
thf(f16078,plain,
( ( $false
= ( eps5 @ sK3 ) )
| ~ spl0_79
| ~ spl0_85 ),
inference(forward_demodulation,[status(thm)],[f723,f749]) ).
thf(f749,plain,
( ( sK11 = sK3 )
| ~ spl0_85 ),
inference(avatar_component_clause,[status(thm)],[f748]) ).
thf(f748,definition,
( spl0_85
<=> ( sK11 = sK3 ) ),
introduced(definition,[new_symbols(naming,[spl0_85])],[avatar_definition]) ).
thf(f16068,plain,
( ~ spl0_20
| ~ spl0_146
| spl0_224 ),
inference(avatar_contradiction_clause,[status(thm)],[f16067]) ).
thf(f16067,plain,
( $false
| ~ spl0_20
| ~ spl0_146
| spl0_224 ),
inference(subsumption_resolution,[status(thm)],[f16066,f7048]) ).
thf(f16066,plain,
( ( $false
= ( eps2 @ sK3 ) )
| ~ spl0_20
| ~ spl0_146 ),
inference(forward_demodulation,[status(thm)],[f220,f1984]) ).
thf(f16062,plain,
( ~ spl0_144
| ~ spl0_8
| ~ spl0_85 ),
inference(avatar_split_clause,[status(thm)],[f16061,f748,f142,f1971]) ).
thf(f16061,plain,
( ( $true
!= ( eps1 @ sK3 ) )
| ~ spl0_8
| ~ spl0_85 ),
inference(forward_demodulation,[status(thm)],[f16060,f144]) ).
thf(f16060,plain,
( ( ( eps1 @ sK3 )
!= ( eps5 @ sK3 ) )
| ~ spl0_85 ),
inference(forward_demodulation,[status(thm)],[f86,f749]) ).
thf(f15936,plain,
( ~ spl0_224
| ~ spl0_145
| ~ spl0_146 ),
inference(avatar_split_clause,[status(thm)],[f15935,f1983,f1977,f7046]) ).
thf(f15935,plain,
( ( $false
!= ( eps2 @ sK3 ) )
| ~ spl0_145
| ~ spl0_146 ),
inference(forward_demodulation,[status(thm)],[f15934,f1978]) ).
thf(f15934,plain,
( ( ( eps2 @ sK3 )
!= ( eps1 @ sK3 ) )
| ~ spl0_146 ),
inference(forward_demodulation,[status(thm)],[f79,f1984]) ).
thf(f15923,plain,
( spl0_3
| spl0_2 ),
inference(avatar_split_clause,[status(thm)],[f12454,f97,f101]) ).
thf(f101,definition,
( spl0_3
<=> ( $true
= ( sK2 @ ( eps4 @ sK2 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_3])],[avatar_definition]) ).
thf(f12454,plain,
! [X1: $o] :
( ( $true
= ( sK2 @ ( eps4 @ sK2 ) ) )
| ( ( sK2 @ X1 )
= $false ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f15912,plain,
( ~ spl0_6
| ~ spl0_26
| ~ spl0_183 ),
inference(avatar_split_clause,[status(thm)],[f15911,f3485,f273,f115]) ).
thf(f15911,plain,
( ( ( eps2 @ sK2 )
!= $true )
| ~ spl0_26
| ~ spl0_183 ),
inference(forward_demodulation,[status(thm)],[f15910,f275]) ).
thf(f275,plain,
( ( $true
= ( eps3 @ sK2 ) )
| ~ spl0_26 ),
inference(avatar_component_clause,[status(thm)],[f273]) ).
thf(f15907,plain,
( ~ spl0_14
| ~ spl0_146
| spl0_210 ),
inference(avatar_contradiction_clause,[status(thm)],[f15906]) ).
thf(f15906,plain,
( $false
| ~ spl0_14
| ~ spl0_146
| spl0_210 ),
inference(subsumption_resolution,[status(thm)],[f15905,f171]) ).
thf(f15905,plain,
( ( ( eps3 @ sK3 )
!= $false )
| ~ spl0_146
| spl0_210 ),
inference(forward_demodulation,[status(thm)],[f5238,f1984]) ).
thf(f5238,plain,
( ( $false
!= ( eps3 @ sK4 ) )
| spl0_210 ),
inference(avatar_component_clause,[status(thm)],[f5237]) ).
thf(f15901,plain,
( ~ spl0_147
| ~ spl0_14
| ~ spl0_184 ),
inference(avatar_split_clause,[status(thm)],[f15900,f3579,f169,f2000]) ).
thf(f15900,plain,
( ( ( eps4 @ sK3 )
!= $false )
| ~ spl0_14
| ~ spl0_184 ),
inference(forward_demodulation,[status(thm)],[f15899,f171]) ).
thf(f15899,plain,
( ( ( eps3 @ sK3 )
!= ( eps4 @ sK3 ) )
| ~ spl0_184 ),
inference(forward_demodulation,[status(thm)],[f82,f3580]) ).
thf(f82,plain,
( ( eps4 @ sK7 )
!= ( eps3 @ sK7 ) ),
inference(negative_extensionality,[status(thm)],[f45]) ).
thf(f45,plain,
eps3 != eps4,
inference(cnf_transformation,[status(thm)],[f22]) ).
thf(f22,plain,
eps3 != eps4,
inference(fool_elimination,[status(thm)],[f13]) ).
thf(f13,axiom,
eps3 != eps4,
file('/export/starexec/sandbox2/tmp/tmp.2wiz2zWszC/DTF2THF_5231.p',choiceax34) ).
thf(f15891,plain,
( ~ spl0_14
| spl0_53
| ~ spl0_184 ),
inference(avatar_contradiction_clause,[status(thm)],[f15890]) ).
thf(f15890,plain,
( $false
| ~ spl0_14
| spl0_53
| ~ spl0_184 ),
inference(subsumption_resolution,[status(thm)],[f15889,f171]) ).
thf(f15889,plain,
( ( ( eps3 @ sK3 )
!= $false )
| spl0_53
| ~ spl0_184 ),
inference(forward_demodulation,[status(thm)],[f510,f3580]) ).
thf(f15870,plain,
( spl0_4
| ~ spl0_76
| ~ spl0_183 ),
inference(avatar_split_clause,[status(thm)],[f15869,f3485,f686,f106]) ).
thf(f15869,plain,
( ( ( eps2 @ sK2 )
= $false )
| ~ spl0_76
| ~ spl0_183 ),
inference(forward_demodulation,[status(thm)],[f688,f3486]) ).
thf(f15861,plain,
( ~ spl0_233
| spl0_123
| ~ spl0_125 ),
inference(avatar_split_clause,[status(thm)],[f15859,f1656,f1646,f7396]) ).
thf(f1646,definition,
( spl0_123
<=> ( $true
= ( sK7 @ sK17 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_123])],[avatar_definition]) ).
thf(f1656,definition,
( spl0_125
<=> ( sK17 = $false ) ),
introduced(definition,[new_symbols(naming,[spl0_125])],[avatar_definition]) ).
thf(f15859,plain,
( ( $true
!= ( sK7 @ $false ) )
| spl0_123
| ~ spl0_125 ),
inference(backward_demodulation,[status(thm)],[f1647,f1657]) ).
thf(f1657,plain,
( ( sK17 = $false )
| ~ spl0_125 ),
inference(avatar_component_clause,[status(thm)],[f1656]) ).
thf(f1647,plain,
( ( $true
!= ( sK7 @ sK17 ) )
| spl0_123 ),
inference(avatar_component_clause,[status(thm)],[f1646]) ).
thf(f15855,plain,
( spl0_17
| ~ spl0_183
| ~ spl0_243 ),
inference(avatar_split_clause,[status(thm)],[f15854,f10795,f3485,f205]) ).
thf(f15854,plain,
( ( sK4 = sK2 )
| ~ spl0_183
| ~ spl0_243 ),
inference(forward_demodulation,[status(thm)],[f10796,f3486]) ).
thf(f15843,plain,
( ~ spl0_14
| ~ spl0_50
| ~ spl0_184 ),
inference(avatar_contradiction_clause,[status(thm)],[f15842]) ).
thf(f15842,plain,
( $false
| ~ spl0_14
| ~ spl0_50
| ~ spl0_184 ),
inference(trivial_inequality_removal,[status(thm)],[f15841]) ).
thf(f15841,plain,
( ( $true = $false )
| ~ spl0_14
| ~ spl0_50
| ~ spl0_184 ),
inference(forward_demodulation,[status(thm)],[f15840,f171]) ).
thf(f15840,plain,
( ( $true
= ( eps3 @ sK3 ) )
| ~ spl0_50
| ~ spl0_184 ),
inference(forward_demodulation,[status(thm)],[f496,f3580]) ).
thf(f15828,plain,
( ~ spl0_6
| spl0_71
| ~ spl0_183 ),
inference(avatar_split_clause,[status(thm)],[f15827,f3485,f664,f115]) ).
thf(f15827,plain,
( ( ( eps2 @ sK2 )
!= $true )
| spl0_71
| ~ spl0_183 ),
inference(forward_demodulation,[status(thm)],[f665,f3486]) ).
thf(f15819,plain,
( ~ spl0_120
| spl0_186
| ~ spl0_191 ),
inference(avatar_split_clause,[status(thm)],[f15818,f3741,f3717,f1517]) ).
thf(f3717,definition,
( spl0_186
<=> ( $true
= ( sK7 @ sK66 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_186])],[avatar_definition]) ).
thf(f3741,definition,
( spl0_191
<=> ( $true = sK66 ) ),
introduced(definition,[new_symbols(naming,[spl0_191])],[avatar_definition]) ).
thf(f15818,plain,
( ( $true
!= ( sK7 @ $true ) )
| spl0_186
| ~ spl0_191 ),
inference(forward_demodulation,[status(thm)],[f3718,f3742]) ).
thf(f3742,plain,
( ( $true = sK66 )
| ~ spl0_191 ),
inference(avatar_component_clause,[status(thm)],[f3741]) ).
thf(f3718,plain,
( ( $true
!= ( sK7 @ sK66 ) )
| spl0_186 ),
inference(avatar_component_clause,[status(thm)],[f3717]) ).
thf(f15807,plain,
( spl0_49
| spl0_48 ),
inference(avatar_split_clause,[status(thm)],[f9648,f486,f490]) ).
thf(f9648,plain,
! [X1: $o] :
( ( ( sK7 @ X1 )
= $false )
| ( ( sK7 @ ( eps3 @ sK7 ) )
= $true ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f15795,plain,
( ~ spl0_14
| spl0_38
| ~ spl0_142 ),
inference(avatar_contradiction_clause,[status(thm)],[f15794]) ).
thf(f15794,plain,
( $false
| ~ spl0_14
| spl0_38
| ~ spl0_142 ),
inference(subsumption_resolution,[status(thm)],[f15793,f171]) ).
thf(f15793,plain,
( ( ( eps3 @ sK3 )
!= $false )
| spl0_38
| ~ spl0_142 ),
inference(forward_demodulation,[status(thm)],[f420,f1962]) ).
thf(f15789,plain,
( spl0_181
| ~ spl0_124
| ~ spl0_126 ),
inference(avatar_split_clause,[status(thm)],[f15788,f1664,f1651,f3413]) ).
thf(f3413,definition,
( spl0_181
<=> ( ( sK7 @ $true )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_181])],[avatar_definition]) ).
thf(f1651,definition,
( spl0_124
<=> ( ( sK7 @ sK17 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_124])],[avatar_definition]) ).
thf(f1664,definition,
( spl0_126
<=> ( $true = sK17 ) ),
introduced(definition,[new_symbols(naming,[spl0_126])],[avatar_definition]) ).
thf(f15788,plain,
( ( ( sK7 @ $true )
= $false )
| ~ spl0_124
| ~ spl0_126 ),
inference(forward_demodulation,[status(thm)],[f1653,f1665]) ).
thf(f1665,plain,
( ( $true = sK17 )
| ~ spl0_126 ),
inference(avatar_component_clause,[status(thm)],[f1664]) ).
thf(f1653,plain,
( ( ( sK7 @ sK17 )
= $false )
| ~ spl0_124 ),
inference(avatar_component_clause,[status(thm)],[f1651]) ).
thf(f15774,plain,
( ~ spl0_41
| ~ spl0_294 ),
inference(avatar_contradiction_clause,[status(thm)],[f15773]) ).
thf(f15773,plain,
( $false
| ~ spl0_41
| ~ spl0_294 ),
inference(trivial_inequality_removal,[status(thm)],[f15772]) ).
thf(f15772,plain,
( ( $true = $false )
| ~ spl0_41
| ~ spl0_294 ),
inference(backward_demodulation,[status(thm)],[f14908,f433]) ).
thf(f433,plain,
( ! [X1: $o] :
( ( sK6 @ X1 )
= $false )
| ~ spl0_41 ),
inference(avatar_component_clause,[status(thm)],[f432]) ).
thf(f14908,plain,
( ( ( sK6 @ sK137 )
= $true )
| ~ spl0_294 ),
inference(avatar_component_clause,[status(thm)],[f14906]) ).
thf(f14906,definition,
( spl0_294
<=> ( ( sK6 @ sK137 )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl0_294])],[avatar_definition]) ).
thf(f15769,plain,
( spl0_24
| ~ spl0_77
| ~ spl0_128
| ~ spl0_183 ),
inference(avatar_contradiction_clause,[status(thm)],[f15768]) ).
thf(f15768,plain,
( $false
| spl0_24
| ~ spl0_77
| ~ spl0_128
| ~ spl0_183 ),
inference(subsumption_resolution,[status(thm)],[f15767,f3486]) ).
thf(f15767,plain,
( ( sK10 != sK2 )
| spl0_24
| ~ spl0_77
| ~ spl0_128 ),
inference(subsumption_resolution,[status(thm)],[f15391,f263]) ).
thf(f263,plain,
( ( ( eps3 @ sK2 )
!= $false )
| spl0_24 ),
inference(avatar_component_clause,[status(thm)],[f261]) ).
thf(f15391,plain,
( ( ( eps3 @ sK2 )
= $false )
| ( sK10 != sK2 )
| ~ spl0_77
| ~ spl0_128 ),
inference(forward_demodulation,[status(thm)],[f13911,f1722]) ).
thf(f13911,plain,
( ( ( eps3 @ sK2 )
= $false )
| ( sK10 != sK5 )
| ~ spl0_77
| ~ spl0_128 ),
inference(constrained_superposition,[status(thm)],[f692,f1722]) ).
thf(f692,plain,
( ( ( eps3 @ sK10 )
= $false )
| ~ spl0_77 ),
inference(avatar_component_clause,[status(thm)],[f690]) ).
thf(f15762,plain,
( ~ spl0_14
| ~ spl0_142
| ~ spl0_145 ),
inference(avatar_contradiction_clause,[status(thm)],[f15761]) ).
thf(f15761,plain,
( $false
| ~ spl0_14
| ~ spl0_142
| ~ spl0_145 ),
inference(subsumption_resolution,[status(thm)],[f15760,f171]) ).
thf(f15760,plain,
( ( ( eps3 @ sK3 )
!= $false )
| ~ spl0_142
| ~ spl0_145 ),
inference(forward_demodulation,[status(thm)],[f15759,f1978]) ).
thf(f15759,plain,
( ( ( eps3 @ sK3 )
!= ( eps1 @ sK3 ) )
| ~ spl0_142 ),
inference(forward_demodulation,[status(thm)],[f81,f1962]) ).
thf(f15758,plain,
( spl0_41
| ~ spl0_10
| ~ spl0_142 ),
inference(avatar_split_clause,[status(thm)],[f15757,f1961,f151,f432]) ).
thf(f15757,plain,
( ! [X1: $o] :
( ( sK6 @ X1 )
= $false )
| ~ spl0_10
| ~ spl0_142 ),
inference(trivial_inequality_removal,[status(thm)],[f15756]) ).
thf(f15756,plain,
( ! [X1: $o] :
( ( ( sK6 @ X1 )
= $false )
| ( $true = $false ) )
| ~ spl0_10
| ~ spl0_142 ),
inference(forward_demodulation,[status(thm)],[f15755,f152]) ).
thf(f152,plain,
( ! [X1: $o] :
( ( sK3 @ X1 )
= $false )
| ~ spl0_10 ),
inference(avatar_component_clause,[status(thm)],[f151]) ).
thf(f15755,plain,
( ! [X1: $o] :
( ( $true
= ( sK3 @ ( eps3 @ sK3 ) ) )
| ( ( sK6 @ X1 )
= $false ) )
| ~ spl0_142 ),
inference(forward_demodulation,[status(thm)],[f14521,f1962]) ).
thf(f15731,plain,
( spl0_134
| ~ spl0_32
| ~ spl0_128 ),
inference(avatar_split_clause,[status(thm)],[f15730,f1721,f335,f1766]) ).
thf(f15730,plain,
( ( ( eps5 @ sK2 )
= $true )
| ~ spl0_32
| ~ spl0_128 ),
inference(forward_demodulation,[status(thm)],[f337,f1722]) ).
thf(f15727,plain,
( spl0_6
| ~ spl0_15
| ~ spl0_17 ),
inference(avatar_split_clause,[status(thm)],[f15726,f205,f196,f115]) ).
thf(f15726,plain,
( ( ( eps2 @ sK2 )
= $true )
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f198,f206]) ).
thf(f206,plain,
( ( sK4 = sK2 )
| ~ spl0_17 ),
inference(avatar_component_clause,[status(thm)],[f205]) ).
thf(f15697,plain,
( ~ spl0_4
| spl0_76
| ~ spl0_183 ),
inference(avatar_split_clause,[status(thm)],[f15606,f3485,f686,f106]) ).
thf(f15606,plain,
( ( ( eps2 @ sK2 )
!= $false )
| spl0_76
| ~ spl0_183 ),
inference(backward_demodulation,[status(thm)],[f687,f3486]) ).
thf(f15695,plain,
( ~ spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[status(thm)],[f15694,f110,f106]) ).
thf(f15694,plain,
( ( ( eps2 @ sK2 )
!= $false )
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f77,f112]) ).
thf(f112,plain,
( ( ( eps4 @ sK2 )
= $false )
| ~ spl0_5 ),
inference(avatar_component_clause,[status(thm)],[f110]) ).
thf(f15688,plain,
( ~ spl0_25
| ~ spl0_5
| ~ spl0_128 ),
inference(avatar_split_clause,[status(thm)],[f15686,f1721,f110,f267]) ).
thf(f15686,plain,
( ( ( eps5 @ sK2 )
!= $false )
| ~ spl0_5
| ~ spl0_128 ),
inference(backward_demodulation,[status(thm)],[f15342,f112]) ).
thf(f15342,plain,
( ( ( eps5 @ sK2 )
!= ( eps4 @ sK2 ) )
| ~ spl0_128 ),
inference(forward_demodulation,[status(thm)],[f80,f1722]) ).
thf(f15679,plain,
( ~ spl0_4
| ~ spl0_17
| spl0_20 ),
inference(avatar_split_clause,[status(thm)],[f15678,f218,f205,f106]) ).
thf(f15678,plain,
( ( ( eps2 @ sK2 )
!= $false )
| ~ spl0_17
| spl0_20 ),
inference(forward_demodulation,[status(thm)],[f219,f206]) ).
thf(f15672,plain,
( spl0_6
| ~ spl0_71
| ~ spl0_183 ),
inference(avatar_split_clause,[status(thm)],[f15607,f3485,f664,f115]) ).
thf(f15607,plain,
( ( ( eps2 @ sK2 )
= $true )
| ~ spl0_71
| ~ spl0_183 ),
inference(backward_demodulation,[status(thm)],[f666,f3486]) ).
thf(f666,plain,
( ( $true
= ( eps2 @ sK10 ) )
| ~ spl0_71 ),
inference(avatar_component_clause,[status(thm)],[f664]) ).
thf(f15671,plain,
( ~ spl0_14
| ~ spl0_44
| ~ spl0_142 ),
inference(avatar_contradiction_clause,[status(thm)],[f15670]) ).
thf(f15670,plain,
( $false
| ~ spl0_14
| ~ spl0_44
| ~ spl0_142 ),
inference(trivial_inequality_removal,[status(thm)],[f15669]) ).
thf(f15669,plain,
( ( $true = $false )
| ~ spl0_14
| ~ spl0_44
| ~ spl0_142 ),
inference(forward_demodulation,[status(thm)],[f15668,f171]) ).
thf(f15668,plain,
( ( $true
= ( eps3 @ sK3 ) )
| ~ spl0_44
| ~ spl0_142 ),
inference(backward_demodulation,[status(thm)],[f448,f1962]) ).
thf(f15663,plain,
( ~ spl0_25
| spl0_35
| ~ spl0_128 ),
inference(avatar_split_clause,[status(thm)],[f15662,f1721,f348,f267]) ).
thf(f15662,plain,
( ( ( eps5 @ sK2 )
!= $false )
| spl0_35
| ~ spl0_128 ),
inference(forward_demodulation,[status(thm)],[f349,f1722]) ).
thf(f15659,plain,
( spl0_24
| ~ spl0_77
| ~ spl0_183 ),
inference(avatar_split_clause,[status(thm)],[f15608,f3485,f690,f261]) ).
thf(f15608,plain,
( ( ( eps3 @ sK2 )
= $false )
| ~ spl0_77
| ~ spl0_183 ),
inference(backward_demodulation,[status(thm)],[f692,f3486]) ).
thf(f15621,plain,
( spl0_145
| ~ spl0_56
| ~ spl0_143 ),
inference(avatar_split_clause,[status(thm)],[f15620,f1965,f547,f1977]) ).
thf(f15620,plain,
( ( $false
= ( eps1 @ sK3 ) )
| ~ spl0_56
| ~ spl0_143 ),
inference(backward_demodulation,[status(thm)],[f549,f1966]) ).
thf(f1966,plain,
( ( sK8 = sK3 )
| ~ spl0_143 ),
inference(avatar_component_clause,[status(thm)],[f1965]) ).
thf(f15598,plain,
( spl0_183
| ~ spl0_17
| ~ spl0_243 ),
inference(avatar_split_clause,[status(thm)],[f15597,f10795,f205,f3485]) ).
thf(f15597,plain,
( ( sK10 = sK2 )
| ~ spl0_17
| ~ spl0_243 ),
inference(forward_demodulation,[status(thm)],[f10796,f206]) ).
thf(f15557,plain,
( spl0_208
| spl0_75
| ~ spl0_77 ),
inference(avatar_split_clause,[status(thm)],[f13787,f690,f682,f5075]) ).
thf(f13787,plain,
( ! [X1: $o] :
( ( ( sK10 @ X1 )
= $false )
| ( ( sK10 @ $false )
= $true ) )
| ~ spl0_77 ),
inference(forward_demodulation,[status(thm)],[f8842,f692]) ).
thf(f8842,plain,
! [X1: $o] :
( ( $true
= ( sK10 @ ( eps3 @ sK10 ) ) )
| ( ( sK10 @ X1 )
= $false ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f15530,plain,
( ~ spl0_253
| spl0_137
| ~ spl0_139 ),
inference(avatar_split_clause,[status(thm)],[f15529,f1844,f1835,f11847]) ).
thf(f1835,definition,
( spl0_137
<=> ( $true
= ( sK3 @ sK18 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_137])],[avatar_definition]) ).
thf(f1844,definition,
( spl0_139
<=> ( $true = sK18 ) ),
introduced(definition,[new_symbols(naming,[spl0_139])],[avatar_definition]) ).
thf(f15529,plain,
( ( $true
!= ( sK3 @ $true ) )
| spl0_137
| ~ spl0_139 ),
inference(forward_demodulation,[status(thm)],[f1837,f1845]) ).
thf(f1845,plain,
( ( $true = sK18 )
| ~ spl0_139 ),
inference(avatar_component_clause,[status(thm)],[f1844]) ).
thf(f1837,plain,
( ( $true
!= ( sK3 @ sK18 ) )
| spl0_137 ),
inference(avatar_component_clause,[status(thm)],[f1835]) ).
thf(f15516,plain,
( spl0_145
| ~ spl0_84
| ~ spl0_85 ),
inference(avatar_split_clause,[status(thm)],[f15515,f748,f743,f1977]) ).
thf(f15515,plain,
( ( $false
= ( eps1 @ sK3 ) )
| ~ spl0_84
| ~ spl0_85 ),
inference(backward_demodulation,[status(thm)],[f745,f749]) ).
thf(f15514,plain,
( spl0_75
| spl0_110
| ~ spl0_71 ),
inference(avatar_split_clause,[status(thm)],[f13781,f664,f1340,f682]) ).
thf(f13781,plain,
( ! [X1: $o] :
( ( $true
= ( sK10 @ $true ) )
| ( ( sK10 @ X1 )
= $false ) )
| ~ spl0_71 ),
inference(forward_demodulation,[status(thm)],[f2198,f666]) ).
thf(f2198,plain,
! [X1: $o] :
( ( ( sK10 @ ( eps2 @ sK10 ) )
= $true )
| ( ( sK10 @ X1 )
= $false ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f15503,plain,
( spl0_17
| ~ spl0_128
| ~ spl0_242 ),
inference(avatar_split_clause,[status(thm)],[f15502,f10659,f1721,f205]) ).
thf(f15502,plain,
( ( sK4 = sK2 )
| ~ spl0_128
| ~ spl0_242 ),
inference(forward_demodulation,[status(thm)],[f10660,f1722]) ).
thf(f15498,plain,
( spl0_17
| ~ spl0_130
| ~ spl0_209 ),
inference(avatar_split_clause,[status(thm)],[f15497,f5233,f1731,f205]) ).
thf(f15497,plain,
( ( sK4 = sK2 )
| ~ spl0_130
| ~ spl0_209 ),
inference(forward_demodulation,[status(thm)],[f5234,f1732]) ).
thf(f15493,plain,
( spl0_14
| ~ spl0_53
| ~ spl0_184 ),
inference(avatar_split_clause,[status(thm)],[f15488,f3579,f508,f169]) ).
thf(f15488,plain,
( ( ( eps3 @ sK3 )
= $false )
| ~ spl0_53
| ~ spl0_184 ),
inference(backward_demodulation,[status(thm)],[f509,f3580]) ).
thf(f15482,plain,
( spl0_110
| ~ spl0_71
| ~ spl0_78 ),
inference(avatar_split_clause,[status(thm)],[f15481,f696,f664,f1340]) ).
thf(f15481,plain,
( ( $true
= ( sK10 @ $true ) )
| ~ spl0_71
| ~ spl0_78 ),
inference(forward_demodulation,[status(thm)],[f698,f666]) ).
thf(f698,plain,
( ( ( sK10 @ ( eps2 @ sK10 ) )
= $true )
| ~ spl0_78 ),
inference(avatar_component_clause,[status(thm)],[f696]) ).
thf(f15446,plain,
( spl0_205
| spl0_2 ),
inference(avatar_split_clause,[status(thm)],[f13586,f97,f4156]) ).
thf(f13586,plain,
! [X1: $o] :
( ( ( sK2 @ X1 )
= $false )
| ( $true
= ( sK2 @ ( eps5 @ sK2 ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f15425,plain,
( ~ spl0_17
| ~ spl0_130
| spl0_209 ),
inference(avatar_split_clause,[status(thm)],[f15424,f5233,f1731,f205]) ).
thf(f15424,plain,
( ( sK4 != sK2 )
| ~ spl0_130
| spl0_209 ),
inference(forward_demodulation,[status(thm)],[f5235,f1732]) ).
thf(f15414,plain,
( ~ spl0_26
| spl0_44
| ~ spl0_130 ),
inference(avatar_split_clause,[status(thm)],[f15413,f1731,f446,f273]) ).
thf(f15413,plain,
( ( $true
!= ( eps3 @ sK2 ) )
| spl0_44
| ~ spl0_130 ),
inference(forward_demodulation,[status(thm)],[f447,f1732]) ).
thf(f15408,plain,
( ~ spl0_17
| ~ spl0_23
| spl0_146 ),
inference(avatar_split_clause,[status(thm)],[f15407,f1983,f257,f205]) ).
thf(f15407,plain,
( ( sK4 != sK2 )
| ~ spl0_23
| spl0_146 ),
inference(forward_demodulation,[status(thm)],[f1985,f258]) ).
thf(f1985,plain,
( ( sK4 != sK3 )
| spl0_146 ),
inference(avatar_component_clause,[status(thm)],[f1983]) ).
thf(f15403,plain,
( ~ spl0_26
| ~ spl0_130
| ~ spl0_133 ),
inference(avatar_split_clause,[status(thm)],[f15402,f1758,f1731,f273]) ).
thf(f15402,plain,
( ( $true
!= ( eps3 @ sK2 ) )
| ~ spl0_130
| ~ spl0_133 ),
inference(forward_demodulation,[status(thm)],[f15027,f1760]) ).
thf(f1760,plain,
( ( $true
= ( eps1 @ sK2 ) )
| ~ spl0_133 ),
inference(avatar_component_clause,[status(thm)],[f1758]) ).
thf(f15027,plain,
( ( ( eps3 @ sK2 )
!= ( eps1 @ sK2 ) )
| ~ spl0_130 ),
inference(forward_demodulation,[status(thm)],[f81,f1732]) ).
thf(f15397,plain,
( spl0_2
| spl0_1 ),
inference(avatar_split_clause,[status(thm)],[f12397,f93,f97]) ).
thf(f93,definition,
( spl0_1
<=> ( $true
= ( sK2 @ ( eps2 @ sK2 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_1])],[avatar_definition]) ).
thf(f12397,plain,
! [X1: $o] :
( ( ( sK2 @ X1 )
= $false )
| ( $true
= ( sK2 @ ( eps2 @ sK2 ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f15388,plain,
( ~ spl0_20
| spl0_65
| ~ spl0_178 ),
inference(avatar_split_clause,[status(thm)],[f15386,f2980,f610,f218]) ).
thf(f15386,plain,
( ( ( eps2 @ sK4 )
!= $false )
| spl0_65
| ~ spl0_178 ),
inference(backward_demodulation,[status(thm)],[f611,f2981]) ).
thf(f611,plain,
( ( $false
!= ( eps2 @ sK9 ) )
| spl0_65 ),
inference(avatar_component_clause,[status(thm)],[f610]) ).
thf(f15380,plain,
( ~ spl0_25
| spl0_13
| ~ spl0_23 ),
inference(avatar_split_clause,[status(thm)],[f15298,f257,f164,f267]) ).
thf(f15298,plain,
( ( ( eps5 @ sK2 )
!= $false )
| spl0_13
| ~ spl0_23 ),
inference(backward_demodulation,[status(thm)],[f165,f258]) ).
thf(f15344,plain,
( ~ spl0_134
| ~ spl0_7
| ~ spl0_128 ),
inference(avatar_split_clause,[status(thm)],[f15343,f1721,f119,f1766]) ).
thf(f15343,plain,
( ( ( eps5 @ sK2 )
!= $true )
| ~ spl0_7
| ~ spl0_128 ),
inference(forward_demodulation,[status(thm)],[f15342,f121]) ).
thf(f15294,plain,
( spl0_23
| ~ spl0_17
| ~ spl0_146 ),
inference(avatar_split_clause,[status(thm)],[f15293,f1983,f205,f257]) ).
thf(f15293,plain,
( ( sK3 = sK2 )
| ~ spl0_17
| ~ spl0_146 ),
inference(forward_demodulation,[status(thm)],[f1984,f206]) ).
thf(f15270,plain,
( ~ spl0_55
| ~ spl0_56 ),
inference(avatar_split_clause,[status(thm)],[f15269,f547,f543]) ).
thf(f15269,plain,
( ( ( eps4 @ sK8 )
!= $false )
| ~ spl0_56 ),
inference(forward_demodulation,[status(thm)],[f83,f549]) ).
thf(f83,plain,
( ( eps4 @ sK8 )
!= ( eps1 @ sK8 ) ),
inference(negative_extensionality,[status(thm)],[f46]) ).
thf(f46,plain,
eps1 != eps4,
inference(cnf_transformation,[status(thm)],[f25]) ).
thf(f25,plain,
eps1 != eps4,
inference(fool_elimination,[status(thm)],[f8]) ).
thf(f8,axiom,
eps1 != eps4,
file('/export/starexec/sandbox2/tmp/tmp.2wiz2zWszC/DTF2THF_5231.p',choiceax14) ).
thf(f15265,plain,
( spl0_45
| spl0_46
| ~ spl0_118 ),
inference(avatar_contradiction_clause,[status(thm)],[f15264]) ).
thf(f15264,plain,
( $false
| spl0_45
| spl0_46
| ~ spl0_118 ),
inference(subsumption_resolution,[status(thm)],[f15263,f472]) ).
thf(f472,plain,
( ( sK16 != $false )
| spl0_46 ),
inference(avatar_component_clause,[status(thm)],[f471]) ).
thf(f471,definition,
( spl0_46
<=> ( sK16 = $false ) ),
introduced(definition,[new_symbols(naming,[spl0_46])],[avatar_definition]) ).
thf(f15263,plain,
( ( sK16 = $false )
| spl0_45
| ~ spl0_118 ),
inference(subsumption_resolution,[status(thm)],[f12502,f469]) ).
thf(f469,plain,
( ( ( sK3 @ $true )
!= $false )
| spl0_45 ),
inference(avatar_component_clause,[status(thm)],[f467]) ).
thf(f467,definition,
( spl0_45
<=> ( ( sK3 @ $true )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_45])],[avatar_definition]) ).
thf(f12502,plain,
( ( ( sK3 @ $true )
= $false )
| ( sK16 = $false )
| ~ spl0_118 ),
inference(fool_paramodulation,[status(thm)],[f1505]) ).
thf(f1505,plain,
( ( ( sK3 @ sK16 )
= $false )
| ~ spl0_118 ),
inference(avatar_component_clause,[status(thm)],[f1503]) ).
thf(f1503,definition,
( spl0_118
<=> ( ( sK3 @ sK16 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_118])],[avatar_definition]) ).
thf(f15224,plain,
( spl0_10
| ~ spl0_8
| ~ spl0_45 ),
inference(avatar_split_clause,[status(thm)],[f15223,f467,f142,f151]) ).
thf(f15223,plain,
( ! [X1: $o] :
( ( sK3 @ X1 )
= $false )
| ~ spl0_8
| ~ spl0_45 ),
inference(trivial_inequality_removal,[status(thm)],[f15222]) ).
thf(f15222,plain,
( ! [X1: $o] :
( ( $true = $false )
| ( ( sK3 @ X1 )
= $false ) )
| ~ spl0_8
| ~ spl0_45 ),
inference(forward_demodulation,[status(thm)],[f15221,f468]) ).
thf(f468,plain,
( ( ( sK3 @ $true )
= $false )
| ~ spl0_45 ),
inference(avatar_component_clause,[status(thm)],[f467]) ).
thf(f15221,plain,
( ! [X1: $o] :
( ( $true
= ( sK3 @ $true ) )
| ( ( sK3 @ X1 )
= $false ) )
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f3431,f144]) ).
thf(f3431,plain,
! [X1: $o] :
( ( ( sK3 @ X1 )
= $false )
| ( $true
= ( sK3 @ ( eps5 @ sK3 ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f15201,plain,
( ~ spl0_8
| ~ spl0_11
| ~ spl0_45 ),
inference(avatar_contradiction_clause,[status(thm)],[f15200]) ).
thf(f15200,plain,
( $false
| ~ spl0_8
| ~ spl0_11
| ~ spl0_45 ),
inference(trivial_inequality_removal,[status(thm)],[f15199]) ).
thf(f15199,plain,
( ( $true = $false )
| ~ spl0_8
| ~ spl0_11
| ~ spl0_45 ),
inference(forward_demodulation,[status(thm)],[f15198,f468]) ).
thf(f15198,plain,
( ( $true
= ( sK3 @ $true ) )
| ~ spl0_8
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f156,f144]) ).
thf(f15113,plain,
( spl0_37
| ~ spl0_12
| ~ spl0_14 ),
inference(avatar_split_clause,[status(thm)],[f15112,f169,f159,f373]) ).
thf(f159,definition,
( spl0_12
<=> ( $true
= ( sK3 @ ( eps3 @ sK3 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_12])],[avatar_definition]) ).
thf(f15112,plain,
( ( ( sK3 @ $false )
= $true )
| ~ spl0_12
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f161,f171]) ).
thf(f161,plain,
( ( $true
= ( sK3 @ ( eps3 @ sK3 ) ) )
| ~ spl0_12 ),
inference(avatar_component_clause,[status(thm)],[f159]) ).
thf(f15099,plain,
( spl0_13
| ~ spl0_64
| ~ spl0_66 ),
inference(avatar_contradiction_clause,[status(thm)],[f15098]) ).
thf(f15098,plain,
( $false
| spl0_13
| ~ spl0_64
| ~ spl0_66 ),
inference(subsumption_resolution,[status(thm)],[f15097,f165]) ).
thf(f15097,plain,
( ( $false
= ( eps5 @ sK3 ) )
| ~ spl0_64
| ~ spl0_66 ),
inference(forward_demodulation,[status(thm)],[f607,f616]) ).
thf(f607,plain,
( ( ( eps5 @ sK9 )
= $false )
| ~ spl0_64 ),
inference(avatar_component_clause,[status(thm)],[f605]) ).
thf(f15095,plain,
( ~ spl0_8
| ~ spl0_66
| ~ spl0_71
| ~ spl0_73 ),
inference(avatar_contradiction_clause,[status(thm)],[f15094]) ).
thf(f15094,plain,
( $false
| ~ spl0_8
| ~ spl0_66
| ~ spl0_71
| ~ spl0_73 ),
inference(subsumption_resolution,[status(thm)],[f15036,f15074]) ).
thf(f15074,plain,
( ( $true
= ( eps2 @ sK3 ) )
| ~ spl0_71
| ~ spl0_73 ),
inference(backward_demodulation,[status(thm)],[f666,f674]) ).
thf(f674,plain,
( ( sK10 = sK3 )
| ~ spl0_73 ),
inference(avatar_component_clause,[status(thm)],[f673]) ).
thf(f673,definition,
( spl0_73
<=> ( sK10 = sK3 ) ),
introduced(definition,[new_symbols(naming,[spl0_73])],[avatar_definition]) ).
thf(f15036,plain,
( ( $true
!= ( eps2 @ sK3 ) )
| ~ spl0_8
| ~ spl0_66 ),
inference(forward_demodulation,[status(thm)],[f15035,f144]) ).
thf(f15035,plain,
( ( ( eps2 @ sK3 )
!= ( eps5 @ sK3 ) )
| ~ spl0_66 ),
inference(forward_demodulation,[status(thm)],[f84,f616]) ).
thf(f15079,plain,
( ~ spl0_71
| ~ spl0_73
| ~ spl0_224 ),
inference(avatar_contradiction_clause,[status(thm)],[f15078]) ).
thf(f15078,plain,
( $false
| ~ spl0_71
| ~ spl0_73
| ~ spl0_224 ),
inference(trivial_inequality_removal,[status(thm)],[f15077]) ).
thf(f15077,plain,
( ( $true = $false )
| ~ spl0_71
| ~ spl0_73
| ~ spl0_224 ),
inference(forward_demodulation,[status(thm)],[f15074,f7047]) ).
thf(f7047,plain,
( ( $false
= ( eps2 @ sK3 ) )
| ~ spl0_224 ),
inference(avatar_component_clause,[status(thm)],[f7046]) ).
thf(f15060,plain,
( spl0_26
| ~ spl0_44
| ~ spl0_130 ),
inference(avatar_split_clause,[status(thm)],[f14973,f1731,f446,f273]) ).
thf(f14973,plain,
( ( $true
= ( eps3 @ sK2 ) )
| ~ spl0_44
| ~ spl0_130 ),
inference(backward_demodulation,[status(thm)],[f448,f1732]) ).
thf(f15040,plain,
( spl0_23
| ~ spl0_73
| ~ spl0_183 ),
inference(avatar_contradiction_clause,[status(thm)],[f15039]) ).
thf(f15039,plain,
( $false
| spl0_23
| ~ spl0_73
| ~ spl0_183 ),
inference(subsumption_resolution,[status(thm)],[f15038,f259]) ).
thf(f259,plain,
( ( sK3 != sK2 )
| spl0_23 ),
inference(avatar_component_clause,[status(thm)],[f257]) ).
thf(f15038,plain,
( ( sK3 = sK2 )
| ~ spl0_73
| ~ spl0_183 ),
inference(forward_demodulation,[status(thm)],[f674,f3486]) ).
thf(f15020,plain,
( ~ spl0_75
| ~ spl0_289 ),
inference(avatar_contradiction_clause,[status(thm)],[f15019]) ).
thf(f15019,plain,
( $false
| ~ spl0_75
| ~ spl0_289 ),
inference(trivial_inequality_removal,[status(thm)],[f15018]) ).
thf(f15018,plain,
( ( $true = $false )
| ~ spl0_75
| ~ spl0_289 ),
inference(backward_demodulation,[status(thm)],[f14320,f683]) ).
thf(f14320,plain,
( ( $true
= ( sK10 @ sK140 ) )
| ~ spl0_289 ),
inference(avatar_component_clause,[status(thm)],[f14318]) ).
thf(f14318,definition,
( spl0_289
<=> ( $true
= ( sK10 @ sK140 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_289])],[avatar_definition]) ).
thf(f14990,plain,
( spl0_75
| ~ spl0_77
| ~ spl0_148
| ~ spl0_152 ),
inference(avatar_split_clause,[status(thm)],[f14989,f2170,f2066,f690,f682]) ).
thf(f2066,definition,
( spl0_148
<=> ( ( sK10 @ sK19 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_148])],[avatar_definition]) ).
thf(f14989,plain,
( ! [X1: $o] :
( ( sK10 @ X1 )
= $false )
| ~ spl0_77
| ~ spl0_148
| ~ spl0_152 ),
inference(trivial_inequality_removal,[status(thm)],[f14988]) ).
thf(f14988,plain,
( ! [X1: $o] :
( ( ( sK10 @ X1 )
= $false )
| ( $true = $false ) )
| ~ spl0_77
| ~ spl0_148
| ~ spl0_152 ),
inference(forward_demodulation,[status(thm)],[f13787,f14967]) ).
thf(f14967,plain,
( ( ( sK10 @ $false )
= $false )
| ~ spl0_148
| ~ spl0_152 ),
inference(forward_demodulation,[status(thm)],[f2068,f2172]) ).
thf(f2172,plain,
( ( sK19 = $false )
| ~ spl0_152 ),
inference(avatar_component_clause,[status(thm)],[f2170]) ).
thf(f2068,plain,
( ( ( sK10 @ sK19 )
= $false )
| ~ spl0_148 ),
inference(avatar_component_clause,[status(thm)],[f2066]) ).
thf(f14980,plain,
( ~ spl0_24
| ~ spl0_44
| ~ spl0_130 ),
inference(avatar_contradiction_clause,[status(thm)],[f14979]) ).
thf(f14979,plain,
( $false
| ~ spl0_24
| ~ spl0_44
| ~ spl0_130 ),
inference(trivial_inequality_removal,[status(thm)],[f14978]) ).
thf(f14978,plain,
( ( $true = $false )
| ~ spl0_24
| ~ spl0_44
| ~ spl0_130 ),
inference(forward_demodulation,[status(thm)],[f14973,f262]) ).
thf(f262,plain,
( ( ( eps3 @ sK2 )
= $false )
| ~ spl0_24 ),
inference(avatar_component_clause,[status(thm)],[f261]) ).
thf(f14940,plain,
( ~ spl0_147
| ~ spl0_143
| ~ spl0_145 ),
inference(avatar_split_clause,[status(thm)],[f14939,f1977,f1965,f2000]) ).
thf(f14939,plain,
( ( ( eps4 @ sK3 )
!= $false )
| ~ spl0_143
| ~ spl0_145 ),
inference(backward_demodulation,[status(thm)],[f14464,f1978]) ).
thf(f14464,plain,
( ( ( eps4 @ sK3 )
!= ( eps1 @ sK3 ) )
| ~ spl0_143 ),
inference(forward_demodulation,[status(thm)],[f83,f1966]) ).
thf(f14924,plain,
( ~ spl0_92
| ~ spl0_93
| ~ spl0_109
| spl0_130
| ~ spl0_180 ),
inference(avatar_contradiction_clause,[status(thm)],[f14923]) ).
thf(f14923,plain,
( $false
| ~ spl0_92
| ~ spl0_93
| ~ spl0_109
| spl0_130
| ~ spl0_180 ),
inference(subsumption_resolution,[status(thm)],[f14922,f1325]) ).
thf(f1325,plain,
( ( $true
= ( sK2 @ $false ) )
| ~ spl0_109 ),
inference(avatar_component_clause,[status(thm)],[f1323]) ).
thf(f14922,plain,
( ( $true
!= ( sK2 @ $false ) )
| ~ spl0_92
| ~ spl0_93
| spl0_130
| ~ spl0_180 ),
inference(forward_demodulation,[status(thm)],[f14921,f14916]) ).
thf(f14916,plain,
( ( sK137 = $false )
| ~ spl0_93
| spl0_130
| ~ spl0_180 ),
inference(subsumption_resolution,[status(thm)],[f14915,f3062]) ).
thf(f3062,plain,
( ( $true
= ( sK2 @ $true ) )
| ~ spl0_180 ),
inference(avatar_component_clause,[status(thm)],[f3060]) ).
thf(f14915,plain,
( ( sK137 = $false )
| ( $true
!= ( sK2 @ $true ) )
| ~ spl0_93
| spl0_130 ),
inference(forward_demodulation,[status(thm)],[f14897,f1019]) ).
thf(f14897,plain,
( ( sK137 = $false )
| ( ( sK2 @ $true )
!= ( sK6 @ $true ) )
| spl0_130 ),
inference(fool_paramodulation,[status(thm)],[f12388]) ).
thf(f12388,plain,
( ( ( sK6 @ sK137 )
!= ( sK2 @ sK137 ) )
| spl0_130 ),
inference(negative_extensionality,[status(thm)],[f1733]) ).
thf(f1733,plain,
( ( sK6 != sK2 )
| spl0_130 ),
inference(avatar_component_clause,[status(thm)],[f1731]) ).
thf(f14921,plain,
( ( $true
!= ( sK2 @ sK137 ) )
| ~ spl0_92
| ~ spl0_93
| spl0_130
| ~ spl0_180 ),
inference(subsumption_resolution,[status(thm)],[f14900,f14916]) ).
thf(f14900,plain,
( ( $true
!= ( sK2 @ sK137 ) )
| ( sK137 != $false )
| ~ spl0_92
| spl0_130 ),
inference(constrained_superposition,[status(thm)],[f12388,f1011]) ).
thf(f14909,plain,
( spl0_293
| spl0_294
| spl0_130 ),
inference(avatar_split_clause,[status(thm)],[f14895,f1731,f14906,f14902]) ).
thf(f14895,plain,
( ( ( sK6 @ sK137 )
= $true )
| ( $true
= ( sK2 @ sK137 ) )
| spl0_130 ),
inference(binary_proxy_clausification,[status(thm)],[f12388]) ).
thf(f14492,plain,
( spl0_125
| spl0_126 ),
inference(avatar_contradiction_clause,[status(thm)],[f14491]) ).
thf(f14491,plain,
( $false
| spl0_125
| spl0_126 ),
inference(subsumption_resolution,[status(thm)],[f14490,f1658]) ).
thf(f1658,plain,
( ( sK17 != $false )
| spl0_125 ),
inference(avatar_component_clause,[status(thm)],[f1656]) ).
thf(f14490,plain,
( ( sK17 = $false )
| spl0_126 ),
inference(trivial_inequality_removal,[status(thm)],[f14489]) ).
thf(f14489,plain,
( ( sK17 = $false )
| ( $true != $true )
| spl0_126 ),
inference(fool_paramodulation,[status(thm)],[f1666]) ).
thf(f1666,plain,
( ( $true != sK17 )
| spl0_126 ),
inference(avatar_component_clause,[status(thm)],[f1664]) ).
thf(f14474,plain,
( spl0_147
| ~ spl0_55
| ~ spl0_143 ),
inference(avatar_split_clause,[status(thm)],[f14473,f1965,f543,f2000]) ).
thf(f14473,plain,
( ( ( eps4 @ sK3 )
= $false )
| ~ spl0_55
| ~ spl0_143 ),
inference(forward_demodulation,[status(thm)],[f545,f1966]) ).
thf(f14462,plain,
( ~ spl0_145
| spl0_56
| ~ spl0_143 ),
inference(avatar_split_clause,[status(thm)],[f14461,f1965,f547,f1977]) ).
thf(f14461,plain,
( ( $false
!= ( eps1 @ sK3 ) )
| spl0_56
| ~ spl0_143 ),
inference(forward_demodulation,[status(thm)],[f548,f1966]) ).
thf(f548,plain,
( ( ( eps1 @ sK8 )
!= $false )
| spl0_56 ),
inference(avatar_component_clause,[status(thm)],[f547]) ).
thf(f14456,plain,
( ~ spl0_48
| ~ spl0_232 ),
inference(avatar_contradiction_clause,[status(thm)],[f14455]) ).
thf(f14455,plain,
( $false
| ~ spl0_48
| ~ spl0_232 ),
inference(trivial_inequality_removal,[status(thm)],[f14454]) ).
thf(f14454,plain,
( ( $true = $false )
| ~ spl0_48
| ~ spl0_232 ),
inference(forward_demodulation,[status(thm)],[f7313,f487]) ).
thf(f487,plain,
( ! [X1: $o] :
( ( sK7 @ X1 )
= $false )
| ~ spl0_48 ),
inference(avatar_component_clause,[status(thm)],[f486]) ).
thf(f7313,plain,
( ( $true
= ( sK7 @ sK68 ) )
| ~ spl0_232 ),
inference(avatar_component_clause,[status(thm)],[f7311]) ).
thf(f7311,definition,
( spl0_232
<=> ( $true
= ( sK7 @ sK68 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_232])],[avatar_definition]) ).
thf(f14426,plain,
( spl0_48
| ~ spl0_54
| spl0_120 ),
inference(avatar_split_clause,[status(thm)],[f14425,f1517,f513,f486]) ).
thf(f14425,plain,
( ! [X1: $o] :
( ( sK7 @ X1 )
= $false )
| ~ spl0_54
| spl0_120 ),
inference(subsumption_resolution,[status(thm)],[f14424,f1518]) ).
thf(f1518,plain,
( ( $true
!= ( sK7 @ $true ) )
| spl0_120 ),
inference(avatar_component_clause,[status(thm)],[f1517]) ).
thf(f14424,plain,
( ! [X1: $o] :
( ( $true
= ( sK7 @ $true ) )
| ( ( sK7 @ X1 )
= $false ) )
| ~ spl0_54 ),
inference(forward_demodulation,[status(thm)],[f9836,f515]) ).
thf(f9836,plain,
! [X1: $o] :
( ( ( sK7 @ X1 )
= $false )
| ( $true
= ( sK7 @ ( eps4 @ sK7 ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f14347,plain,
( ~ spl0_109
| spl0_287
| ~ spl0_290 ),
inference(avatar_contradiction_clause,[status(thm)],[f14346]) ).
thf(f14346,plain,
( $false
| ~ spl0_109
| spl0_287
| ~ spl0_290 ),
inference(subsumption_resolution,[status(thm)],[f14345,f1325]) ).
thf(f14345,plain,
( ( $true
!= ( sK2 @ $false ) )
| spl0_287
| ~ spl0_290 ),
inference(forward_demodulation,[status(thm)],[f14311,f14324]) ).
thf(f14324,plain,
( ( sK140 = $false )
| ~ spl0_290 ),
inference(avatar_component_clause,[status(thm)],[f14323]) ).
thf(f14323,definition,
( spl0_290
<=> ( sK140 = $false ) ),
introduced(definition,[new_symbols(naming,[spl0_290])],[avatar_definition]) ).
thf(f14311,plain,
( ( $true
!= ( sK2 @ sK140 ) )
| spl0_287 ),
inference(avatar_component_clause,[status(thm)],[f14309]) ).
thf(f14334,plain,
( spl0_290
| ~ spl0_110
| ~ spl0_180
| spl0_183 ),
inference(avatar_split_clause,[status(thm)],[f14333,f3485,f3060,f1340,f14323]) ).
thf(f14333,plain,
( ( sK140 = $false )
| ~ spl0_110
| ~ spl0_180
| spl0_183 ),
inference(subsumption_resolution,[status(thm)],[f14332,f1342]) ).
thf(f14332,plain,
( ( sK140 = $false )
| ( $true
!= ( sK10 @ $true ) )
| ~ spl0_180
| spl0_183 ),
inference(forward_demodulation,[status(thm)],[f14304,f3062]) ).
thf(f14304,plain,
( ( sK140 = $false )
| ( ( sK10 @ $true )
!= ( sK2 @ $true ) )
| spl0_183 ),
inference(fool_paramodulation,[status(thm)],[f12517]) ).
thf(f12517,plain,
( ( ( sK10 @ sK140 )
!= ( sK2 @ sK140 ) )
| spl0_183 ),
inference(negative_extensionality,[status(thm)],[f3487]) ).
thf(f3487,plain,
( ( sK10 != sK2 )
| spl0_183 ),
inference(avatar_component_clause,[status(thm)],[f3485]) ).
thf(f14326,plain,
( ~ spl0_287
| ~ spl0_290
| spl0_183
| ~ spl0_208 ),
inference(avatar_split_clause,[status(thm)],[f14306,f5075,f3485,f14323,f14309]) ).
thf(f14306,plain,
( ( $true
!= ( sK2 @ sK140 ) )
| ( sK140 != $false )
| spl0_183
| ~ spl0_208 ),
inference(constrained_superposition,[status(thm)],[f12517,f5077]) ).
thf(f14321,plain,
( spl0_289
| spl0_287
| spl0_183 ),
inference(avatar_split_clause,[status(thm)],[f14302,f3485,f14309,f14318]) ).
thf(f14302,plain,
( ( $true
= ( sK2 @ sK140 ) )
| ( $true
= ( sK10 @ sK140 ) )
| spl0_183 ),
inference(binary_proxy_clausification,[status(thm)],[f12517]) ).
thf(f14138,plain,
( ~ spl0_109
| ~ spl0_111
| spl0_132
| ~ spl0_285 ),
inference(avatar_contradiction_clause,[status(thm)],[f14137]) ).
thf(f14137,plain,
( $false
| ~ spl0_109
| ~ spl0_111
| spl0_132
| ~ spl0_285 ),
inference(subsumption_resolution,[status(thm)],[f14136,f1409]) ).
thf(f14136,plain,
( ( ( sK11 @ $false )
!= $true )
| ~ spl0_109
| spl0_132
| ~ spl0_285 ),
inference(forward_demodulation,[status(thm)],[f14135,f1325]) ).
thf(f14135,plain,
( ( ( sK11 @ $false )
!= ( sK2 @ $false ) )
| spl0_132
| ~ spl0_285 ),
inference(backward_demodulation,[status(thm)],[f12399,f14123]) ).
thf(f14123,plain,
( ( sK138 = $false )
| ~ spl0_285 ),
inference(avatar_component_clause,[status(thm)],[f14122]) ).
thf(f14122,definition,
( spl0_285
<=> ( sK138 = $false ) ),
introduced(definition,[new_symbols(naming,[spl0_285])],[avatar_definition]) ).
thf(f12399,plain,
( ( ( sK2 @ sK138 )
!= ( sK11 @ sK138 ) )
| spl0_132 ),
inference(negative_extensionality,[status(thm)],[f1744]) ).
thf(f1744,plain,
( ( sK11 != sK2 )
| spl0_132 ),
inference(avatar_component_clause,[status(thm)],[f1742]) ).
thf(f14133,plain,
( spl0_285
| spl0_132
| ~ spl0_169
| ~ spl0_180 ),
inference(avatar_split_clause,[status(thm)],[f14132,f3060,f2743,f1742,f14122]) ).
thf(f14132,plain,
( ( sK138 = $false )
| spl0_132
| ~ spl0_169
| ~ spl0_180 ),
inference(subsumption_resolution,[status(thm)],[f14131,f3062]) ).
thf(f14131,plain,
( ( sK138 = $false )
| ( $true
!= ( sK2 @ $true ) )
| spl0_132
| ~ spl0_169 ),
inference(forward_demodulation,[status(thm)],[f14098,f2744]) ).
thf(f14098,plain,
( ( ( sK2 @ $true )
!= ( sK11 @ $true ) )
| ( sK138 = $false )
| spl0_132 ),
inference(fool_paramodulation,[status(thm)],[f12399]) ).
thf(f14025,plain,
( ~ spl0_10
| ~ spl0_41
| spl0_142 ),
inference(avatar_contradiction_clause,[status(thm)],[f14024]) ).
thf(f14024,plain,
( $false
| ~ spl0_10
| ~ spl0_41
| spl0_142 ),
inference(subsumption_resolution,[status(thm)],[f14023,f433]) ).
thf(f14023,plain,
( ( ( sK6 @ $false )
!= $false )
| ~ spl0_10
| ~ spl0_41
| spl0_142 ),
inference(backward_demodulation,[status(thm)],[f12413,f14022]) ).
thf(f14022,plain,
( ( sK139 = $false )
| ~ spl0_10
| ~ spl0_41
| spl0_142 ),
inference(subsumption_resolution,[status(thm)],[f12556,f433]) ).
thf(f12556,plain,
( ( sK139 = $false )
| ( ( sK6 @ $true )
!= $false )
| ~ spl0_10
| spl0_142 ),
inference(fool_paramodulation,[status(thm)],[f12413]) ).
thf(f12413,plain,
( ( $false
!= ( sK6 @ sK139 ) )
| ~ spl0_10
| spl0_142 ),
inference(forward_demodulation,[status(thm)],[f12407,f152]) ).
thf(f12407,plain,
( ( ( sK3 @ sK139 )
!= ( sK6 @ sK139 ) )
| spl0_142 ),
inference(negative_extensionality,[status(thm)],[f1963]) ).
thf(f14013,plain,
( spl0_93
| spl0_41
| ~ spl0_44 ),
inference(avatar_split_clause,[status(thm)],[f11998,f446,f432,f1017]) ).
thf(f11998,plain,
( ! [X1: $o] :
( ( ( sK6 @ X1 )
= $false )
| ( $true
= ( sK6 @ $true ) ) )
| ~ spl0_44 ),
inference(forward_demodulation,[status(thm)],[f9387,f448]) ).
thf(f9387,plain,
! [X1: $o] :
( ( $true
= ( sK6 @ ( eps3 @ sK6 ) ) )
| ( ( sK6 @ X1 )
= $false ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f14012,plain,
( ~ spl0_92
| ~ spl0_275
| spl0_276 ),
inference(avatar_contradiction_clause,[status(thm)],[f14011]) ).
thf(f14011,plain,
( $false
| ~ spl0_92
| ~ spl0_275
| spl0_276 ),
inference(subsumption_resolution,[status(thm)],[f14007,f1011]) ).
thf(f14007,plain,
( ( ( sK6 @ $false )
!= $true )
| ~ spl0_275
| spl0_276 ),
inference(backward_demodulation,[status(thm)],[f13977,f13972]) ).
thf(f13972,plain,
( ( sK146 = $false )
| ~ spl0_275 ),
inference(avatar_component_clause,[status(thm)],[f13971]) ).
thf(f13971,definition,
( spl0_275
<=> ( sK146 = $false ) ),
introduced(definition,[new_symbols(naming,[spl0_275])],[avatar_definition]) ).
thf(f13977,plain,
( ( $true
!= ( sK6 @ sK146 ) )
| spl0_276 ),
inference(avatar_component_clause,[status(thm)],[f13975]) ).
thf(f13975,definition,
( spl0_276
<=> ( $true
= ( sK6 @ sK146 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_276])],[avatar_definition]) ).
thf(f13996,plain,
( spl0_275
| spl0_38
| ~ spl0_77
| ~ spl0_93
| ~ spl0_110 ),
inference(avatar_split_clause,[status(thm)],[f13995,f1340,f1017,f690,f419,f13971]) ).
thf(f13995,plain,
( ( sK146 = $false )
| spl0_38
| ~ spl0_77
| ~ spl0_93
| ~ spl0_110 ),
inference(subsumption_resolution,[status(thm)],[f13994,f1342]) ).
thf(f13994,plain,
( ( $true
!= ( sK10 @ $true ) )
| ( sK146 = $false )
| spl0_38
| ~ spl0_77
| ~ spl0_93 ),
inference(forward_demodulation,[status(thm)],[f13966,f1019]) ).
thf(f13966,plain,
( ( ( sK10 @ $true )
!= ( sK6 @ $true ) )
| ( sK146 = $false )
| spl0_38
| ~ spl0_77 ),
inference(fool_paramodulation,[status(thm)],[f13943]) ).
thf(f13943,plain,
( ( ( sK6 @ sK146 )
!= ( sK10 @ sK146 ) )
| spl0_38
| ~ spl0_77 ),
inference(negative_extensionality,[status(thm)],[f13930]) ).
thf(f13930,plain,
( ( sK10 != sK6 )
| spl0_38
| ~ spl0_77 ),
inference(trivial_inequality_removal,[status(thm)],[f13920]) ).
thf(f13920,plain,
( ( $false != $false )
| ( sK10 != sK6 )
| spl0_38
| ~ spl0_77 ),
inference(constrained_superposition,[status(thm)],[f420,f692]) ).
thf(f13978,plain,
( ~ spl0_275
| ~ spl0_276
| spl0_38
| ~ spl0_77
| ~ spl0_208 ),
inference(avatar_split_clause,[status(thm)],[f13968,f5075,f690,f419,f13975,f13971]) ).
thf(f13968,plain,
( ( sK146 != $false )
| ( $true
!= ( sK6 @ sK146 ) )
| spl0_38
| ~ spl0_77
| ~ spl0_208 ),
inference(constrained_superposition,[status(thm)],[f13943,f5077]) ).
thf(f13790,plain,
( spl0_208
| ~ spl0_74
| ~ spl0_77 ),
inference(avatar_split_clause,[status(thm)],[f13762,f690,f678,f5075]) ).
thf(f13762,plain,
( ( ( sK10 @ $false )
= $true )
| ~ spl0_74
| ~ spl0_77 ),
inference(forward_demodulation,[status(thm)],[f680,f692]) ).
thf(f13714,plain,
( ~ spl0_10
| ~ spl0_137 ),
inference(avatar_contradiction_clause,[status(thm)],[f13713]) ).
thf(f13713,plain,
( $false
| ~ spl0_10
| ~ spl0_137 ),
inference(trivial_inequality_removal,[status(thm)],[f13712]) ).
thf(f13712,plain,
( ( $true = $false )
| ~ spl0_10
| ~ spl0_137 ),
inference(forward_demodulation,[status(thm)],[f1836,f152]) ).
thf(f1836,plain,
( ( $true
= ( sK3 @ sK18 ) )
| ~ spl0_137 ),
inference(avatar_component_clause,[status(thm)],[f1835]) ).
thf(f13673,plain,
( ~ spl0_91
| ~ spl0_109
| spl0_129
| ~ spl0_270 ),
inference(avatar_contradiction_clause,[status(thm)],[f13672]) ).
thf(f13672,plain,
( $false
| ~ spl0_91
| ~ spl0_109
| spl0_129
| ~ spl0_270 ),
inference(subsumption_resolution,[status(thm)],[f13671,f995]) ).
thf(f13671,plain,
( ( $true
!= ( sK9 @ $false ) )
| ~ spl0_109
| spl0_129
| ~ spl0_270 ),
inference(forward_demodulation,[status(thm)],[f13670,f1325]) ).
thf(f13670,plain,
( ( ( sK9 @ $false )
!= ( sK2 @ $false ) )
| spl0_129
| ~ spl0_270 ),
inference(backward_demodulation,[status(thm)],[f12380,f13649]) ).
thf(f13649,plain,
( ( sK136 = $false )
| ~ spl0_270 ),
inference(avatar_component_clause,[status(thm)],[f13648]) ).
thf(f13648,definition,
( spl0_270
<=> ( sK136 = $false ) ),
introduced(definition,[new_symbols(naming,[spl0_270])],[avatar_definition]) ).
thf(f12380,plain,
( ( ( sK2 @ sK136 )
!= ( sK9 @ sK136 ) )
| spl0_129 ),
inference(negative_extensionality,[status(thm)],[f1727]) ).
thf(f1727,plain,
( ( sK9 != sK2 )
| spl0_129 ),
inference(avatar_component_clause,[status(thm)],[f1725]) ).
thf(f13654,plain,
( spl0_270
| ~ spl0_90
| spl0_129
| ~ spl0_180 ),
inference(avatar_split_clause,[status(thm)],[f13653,f3060,f1725,f987,f13648]) ).
thf(f13653,plain,
( ( sK136 = $false )
| ~ spl0_90
| spl0_129
| ~ spl0_180 ),
inference(subsumption_resolution,[status(thm)],[f13652,f3062]) ).
thf(f13652,plain,
( ( sK136 = $false )
| ( $true
!= ( sK2 @ $true ) )
| ~ spl0_90
| spl0_129 ),
inference(forward_demodulation,[status(thm)],[f13628,f989]) ).
thf(f13628,plain,
( ( ( sK2 @ $true )
!= ( sK9 @ $true ) )
| ( sK136 = $false )
| spl0_129 ),
inference(fool_paramodulation,[status(thm)],[f12380]) ).
thf(f13420,plain,
( ~ spl0_109
| spl0_262
| ~ spl0_263 ),
inference(avatar_contradiction_clause,[status(thm)],[f13419]) ).
thf(f13419,plain,
( $false
| ~ spl0_109
| spl0_262
| ~ spl0_263 ),
inference(subsumption_resolution,[status(thm)],[f13418,f1325]) ).
thf(f13418,plain,
( ( $true
!= ( sK2 @ $false ) )
| spl0_262
| ~ spl0_263 ),
inference(forward_demodulation,[status(thm)],[f13386,f13389]) ).
thf(f13389,plain,
( ( sK124 = $false )
| ~ spl0_263 ),
inference(avatar_component_clause,[status(thm)],[f13388]) ).
thf(f13388,definition,
( spl0_263
<=> ( sK124 = $false ) ),
introduced(definition,[new_symbols(naming,[spl0_263])],[avatar_definition]) ).
thf(f13386,plain,
( ( ( sK2 @ sK124 )
!= $true )
| spl0_262 ),
inference(avatar_component_clause,[status(thm)],[f13384]) ).
thf(f13384,definition,
( spl0_262
<=> ( ( sK2 @ sK124 )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl0_262])],[avatar_definition]) ).
thf(f13394,plain,
( spl0_263
| ~ spl0_121
| spl0_128
| ~ spl0_180 ),
inference(avatar_split_clause,[status(thm)],[f13393,f3060,f1721,f1531,f13388]) ).
thf(f13393,plain,
( ( sK124 = $false )
| ~ spl0_121
| spl0_128
| ~ spl0_180 ),
inference(subsumption_resolution,[status(thm)],[f13392,f3062]) ).
thf(f13392,plain,
( ( $true
!= ( sK2 @ $true ) )
| ( sK124 = $false )
| ~ spl0_121
| spl0_128 ),
inference(forward_demodulation,[status(thm)],[f13369,f1533]) ).
thf(f13369,plain,
( ( sK124 = $false )
| ( ( sK2 @ $true )
!= ( sK5 @ $true ) )
| spl0_128 ),
inference(fool_paramodulation,[status(thm)],[f10381]) ).
thf(f10381,plain,
( ( ( sK2 @ sK124 )
!= ( sK5 @ sK124 ) )
| spl0_128 ),
inference(negative_extensionality,[status(thm)],[f1723]) ).
thf(f1723,plain,
( ( sK2 != sK5 )
| spl0_128 ),
inference(avatar_component_clause,[status(thm)],[f1721]) ).
thf(f13391,plain,
( ~ spl0_262
| ~ spl0_263
| ~ spl0_101
| spl0_128 ),
inference(avatar_split_clause,[status(thm)],[f13373,f1721,f1229,f13388,f13384]) ).
thf(f13373,plain,
( ( sK124 != $false )
| ( ( sK2 @ sK124 )
!= $true )
| ~ spl0_101
| spl0_128 ),
inference(constrained_superposition,[status(thm)],[f10381,f1231]) ).
thf(f13157,plain,
( ~ spl0_39
| ~ spl0_80
| ~ spl0_92
| ~ spl0_93
| ~ spl0_111
| ~ spl0_169 ),
inference(avatar_contradiction_clause,[status(thm)],[f13156]) ).
thf(f13156,plain,
( $false
| ~ spl0_39
| ~ spl0_80
| ~ spl0_92
| ~ spl0_93
| ~ spl0_111
| ~ spl0_169 ),
inference(trivial_inequality_removal,[status(thm)],[f13155]) ).
thf(f13155,plain,
( ( $true = $false )
| ~ spl0_39
| ~ spl0_80
| ~ spl0_92
| ~ spl0_93
| ~ spl0_111
| ~ spl0_169 ),
inference(backward_demodulation,[status(thm)],[f1409,f13154]) ).
thf(f13154,plain,
( ( ( sK11 @ $false )
= $false )
| ~ spl0_39
| ~ spl0_80
| ~ spl0_92
| ~ spl0_93
| ~ spl0_169 ),
inference(trivial_inequality_removal,[status(thm)],[f13153]) ).
thf(f13153,plain,
( ( $true = $false )
| ( ( sK11 @ $false )
= $false )
| ~ spl0_39
| ~ spl0_80
| ~ spl0_92
| ~ spl0_93
| ~ spl0_169 ),
inference(forward_demodulation,[status(thm)],[f13152,f1011]) ).
thf(f13152,plain,
( ( ( sK6 @ $false )
= $false )
| ( ( sK11 @ $false )
= $false )
| ~ spl0_39
| ~ spl0_80
| ~ spl0_93
| ~ spl0_169 ),
inference(forward_demodulation,[status(thm)],[f13151,f13142]) ).
thf(f13142,plain,
( ( sK144 = $false )
| ~ spl0_39
| ~ spl0_80
| ~ spl0_93
| ~ spl0_169 ),
inference(subsumption_resolution,[status(thm)],[f13141,f1019]) ).
thf(f13141,plain,
( ( sK144 = $false )
| ( $true
!= ( sK6 @ $true ) )
| ~ spl0_39
| ~ spl0_80
| ~ spl0_169 ),
inference(forward_demodulation,[status(thm)],[f13118,f2744]) ).
thf(f13118,plain,
( ( ( sK6 @ $true )
!= ( sK11 @ $true ) )
| ( sK144 = $false )
| ~ spl0_39
| ~ spl0_80 ),
inference(fool_paramodulation,[status(thm)],[f13074]) ).
thf(f13074,plain,
( ( ( sK6 @ sK144 )
!= ( sK11 @ sK144 ) )
| ~ spl0_39
| ~ spl0_80 ),
inference(negative_extensionality,[status(thm)],[f13066]) ).
thf(f13066,plain,
( ( sK11 != sK6 )
| ~ spl0_39
| ~ spl0_80 ),
inference(trivial_inequality_removal,[status(thm)],[f13056]) ).
thf(f13056,plain,
( ( sK11 != sK6 )
| ( $true = $false )
| ~ spl0_39
| ~ spl0_80 ),
inference(constrained_superposition,[status(thm)],[f726,f425]) ).
thf(f425,plain,
( ( $false
= ( eps1 @ sK6 ) )
| ~ spl0_39 ),
inference(avatar_component_clause,[status(thm)],[f423]) ).
thf(f13151,plain,
( ( ( sK6 @ sK144 )
= $false )
| ( ( sK11 @ $false )
= $false )
| ~ spl0_39
| ~ spl0_80
| ~ spl0_93
| ~ spl0_169 ),
inference(forward_demodulation,[status(thm)],[f13117,f13142]) ).
thf(f13117,plain,
( ( ( sK11 @ sK144 )
= $false )
| ( ( sK6 @ sK144 )
= $false )
| ~ spl0_39
| ~ spl0_80 ),
inference(binary_proxy_clausification,[status(thm)],[f13074]) ).
thf(f12980,plain,
( ~ spl0_32
| ~ spl0_64
| ~ spl0_90
| ~ spl0_91
| ~ spl0_101
| ~ spl0_121 ),
inference(avatar_contradiction_clause,[status(thm)],[f12979]) ).
thf(f12979,plain,
( $false
| ~ spl0_32
| ~ spl0_64
| ~ spl0_90
| ~ spl0_91
| ~ spl0_101
| ~ spl0_121 ),
inference(subsumption_resolution,[status(thm)],[f12978,f1231]) ).
thf(f12978,plain,
( ( $true
!= ( sK5 @ $false ) )
| ~ spl0_32
| ~ spl0_64
| ~ spl0_90
| ~ spl0_91
| ~ spl0_121 ),
inference(forward_demodulation,[status(thm)],[f12977,f12963]) ).
thf(f12963,plain,
( ( sK143 = $false )
| ~ spl0_32
| ~ spl0_64
| ~ spl0_90
| ~ spl0_121 ),
inference(subsumption_resolution,[status(thm)],[f12962,f989]) ).
thf(f12962,plain,
( ( sK143 = $false )
| ( $true
!= ( sK9 @ $true ) )
| ~ spl0_32
| ~ spl0_64
| ~ spl0_121 ),
inference(forward_demodulation,[status(thm)],[f12957,f1533]) ).
thf(f12957,plain,
( ( ( sK9 @ $true )
!= ( sK5 @ $true ) )
| ( sK143 = $false )
| ~ spl0_32
| ~ spl0_64 ),
inference(fool_paramodulation,[status(thm)],[f12909]) ).
thf(f12909,plain,
( ( ( sK9 @ sK143 )
!= ( sK5 @ sK143 ) )
| ~ spl0_32
| ~ spl0_64 ),
inference(negative_extensionality,[status(thm)],[f12899]) ).
thf(f12899,plain,
( ( sK9 != sK5 )
| ~ spl0_32
| ~ spl0_64 ),
inference(trivial_inequality_removal,[status(thm)],[f12888]) ).
thf(f12888,plain,
( ( $true = $false )
| ( sK9 != sK5 )
| ~ spl0_32
| ~ spl0_64 ),
inference(constrained_superposition,[status(thm)],[f337,f607]) ).
thf(f12977,plain,
( ( $true
!= ( sK5 @ sK143 ) )
| ~ spl0_32
| ~ spl0_64
| ~ spl0_90
| ~ spl0_91
| ~ spl0_121 ),
inference(subsumption_resolution,[status(thm)],[f12960,f12963]) ).
thf(f12960,plain,
( ( $true
!= ( sK5 @ sK143 ) )
| ( sK143 != $false )
| ~ spl0_32
| ~ spl0_64
| ~ spl0_91 ),
inference(constrained_superposition,[status(thm)],[f12909,f995]) ).
thf(f12863,plain,
( ~ spl0_35
| spl0_79
| ~ spl0_101
| ~ spl0_111
| ~ spl0_121
| ~ spl0_169 ),
inference(avatar_contradiction_clause,[status(thm)],[f12862]) ).
thf(f12862,plain,
( $false
| ~ spl0_35
| spl0_79
| ~ spl0_101
| ~ spl0_111
| ~ spl0_121
| ~ spl0_169 ),
inference(trivial_inequality_removal,[status(thm)],[f12861]) ).
thf(f12861,plain,
( ( $true = $false )
| ~ spl0_35
| spl0_79
| ~ spl0_101
| ~ spl0_111
| ~ spl0_121
| ~ spl0_169 ),
inference(backward_demodulation,[status(thm)],[f1409,f12860]) ).
thf(f12860,plain,
( ( ( sK11 @ $false )
= $false )
| ~ spl0_35
| spl0_79
| ~ spl0_101
| ~ spl0_121
| ~ spl0_169 ),
inference(trivial_inequality_removal,[status(thm)],[f12859]) ).
thf(f12859,plain,
( ( $true = $false )
| ( ( sK11 @ $false )
= $false )
| ~ spl0_35
| spl0_79
| ~ spl0_101
| ~ spl0_121
| ~ spl0_169 ),
inference(forward_demodulation,[status(thm)],[f12858,f1231]) ).
thf(f12858,plain,
( ( ( sK5 @ $false )
= $false )
| ( ( sK11 @ $false )
= $false )
| ~ spl0_35
| spl0_79
| ~ spl0_121
| ~ spl0_169 ),
inference(forward_demodulation,[status(thm)],[f12857,f12845]) ).
thf(f12845,plain,
( ( sK141 = $false )
| ~ spl0_35
| spl0_79
| ~ spl0_121
| ~ spl0_169 ),
inference(subsumption_resolution,[status(thm)],[f12844,f2744]) ).
thf(f12844,plain,
( ( sK141 = $false )
| ( $true
!= ( sK11 @ $true ) )
| ~ spl0_35
| spl0_79
| ~ spl0_121 ),
inference(forward_demodulation,[status(thm)],[f12831,f1533]) ).
thf(f12831,plain,
( ( sK141 = $false )
| ( ( sK11 @ $true )
!= ( sK5 @ $true ) )
| ~ spl0_35
| spl0_79 ),
inference(fool_paramodulation,[status(thm)],[f12699]) ).
thf(f12699,plain,
( ( ( sK5 @ sK141 )
!= ( sK11 @ sK141 ) )
| ~ spl0_35
| spl0_79 ),
inference(negative_extensionality,[status(thm)],[f12656]) ).
thf(f12656,plain,
( ( sK11 != sK5 )
| ~ spl0_35
| spl0_79 ),
inference(trivial_inequality_removal,[status(thm)],[f12654]) ).
thf(f12654,plain,
( ( sK11 != sK5 )
| ( $false != $false )
| ~ spl0_35
| spl0_79 ),
inference(constrained_superposition,[status(thm)],[f722,f350]) ).
thf(f12857,plain,
( ( ( sK11 @ $false )
= $false )
| ( ( sK5 @ sK141 )
= $false )
| ~ spl0_35
| spl0_79
| ~ spl0_121
| ~ spl0_169 ),
inference(forward_demodulation,[status(thm)],[f12830,f12845]) ).
thf(f12830,plain,
( ( ( sK11 @ sK141 )
= $false )
| ( ( sK5 @ sK141 )
= $false )
| ~ spl0_35
| spl0_79 ),
inference(binary_proxy_clausification,[status(thm)],[f12699]) ).
thf(f12661,plain,
( ~ spl0_179
| ~ spl0_64
| spl0_79 ),
inference(avatar_split_clause,[status(thm)],[f12657,f721,f605,f2991]) ).
thf(f12657,plain,
( ( sK11 != sK9 )
| ~ spl0_64
| spl0_79 ),
inference(trivial_inequality_removal,[status(thm)],[f12653]) ).
thf(f12653,plain,
( ( sK11 != sK9 )
| ( $false != $false )
| ~ spl0_64
| spl0_79 ),
inference(constrained_superposition,[status(thm)],[f722,f607]) ).
thf(f12267,plain,
( spl0_228
| ~ spl0_191
| ~ spl0_227 ),
inference(avatar_split_clause,[status(thm)],[f12262,f7283,f3741,f7288]) ).
thf(f7283,definition,
( spl0_227
<=> ( sK68 = sK66 ) ),
introduced(definition,[new_symbols(naming,[spl0_227])],[avatar_definition]) ).
thf(f12262,plain,
( ( sK68 = $true )
| ~ spl0_191
| ~ spl0_227 ),
inference(backward_demodulation,[status(thm)],[f7284,f3742]) ).
thf(f7284,plain,
( ( sK68 = sK66 )
| ~ spl0_227 ),
inference(avatar_component_clause,[status(thm)],[f7283]) ).
thf(f12258,plain,
( spl0_191
| spl0_226
| ~ spl0_227 ),
inference(avatar_split_clause,[status(thm)],[f12257,f7283,f7278,f3741]) ).
thf(f7278,definition,
( spl0_226
<=> ( sK68 = $false ) ),
introduced(definition,[new_symbols(naming,[spl0_226])],[avatar_definition]) ).
thf(f12257,plain,
( ( $true = sK66 )
| spl0_226
| ~ spl0_227 ),
inference(subsumption_resolution,[status(thm)],[f12253,f7280]) ).
thf(f7280,plain,
( ( sK68 != $false )
| spl0_226 ),
inference(avatar_component_clause,[status(thm)],[f7278]) ).
thf(f12253,plain,
( ( $true = sK66 )
| ( sK68 = $false )
| ~ spl0_227 ),
inference(fool_paramodulation,[status(thm)],[f7284]) ).
thf(f12245,plain,
( spl0_191
| spl0_227
| spl0_228 ),
inference(avatar_split_clause,[status(thm)],[f12244,f7288,f7283,f3741]) ).
thf(f12244,plain,
( ( $true = sK66 )
| spl0_227
| spl0_228 ),
inference(subsumption_resolution,[status(thm)],[f12239,f7290]) ).
thf(f7290,plain,
( ( sK68 != $true )
| spl0_228 ),
inference(avatar_component_clause,[status(thm)],[f7288]) ).
thf(f12239,plain,
( ( $true = sK66 )
| ( sK68 = $true )
| spl0_227 ),
inference(binary_proxy_clausification,[status(thm)],[f7285]) ).
thf(f7285,plain,
( ( sK68 != sK66 )
| spl0_227 ),
inference(avatar_component_clause,[status(thm)],[f7283]) ).
thf(f12243,plain,
( ~ spl0_191
| spl0_226
| spl0_227 ),
inference(avatar_split_clause,[status(thm)],[f12242,f7283,f7278,f3741]) ).
thf(f12242,plain,
( ( $true != sK66 )
| spl0_226
| spl0_227 ),
inference(subsumption_resolution,[status(thm)],[f12241,f7280]) ).
thf(f12241,plain,
( ( $true != sK66 )
| ( sK68 = $false )
| spl0_227 ),
inference(fool_paramodulation,[status(thm)],[f7285]) ).
thf(f12190,plain,
( spl0_169
| ~ spl0_81
| ~ spl0_86 ),
inference(avatar_split_clause,[status(thm)],[f12189,f753,f730,f2743]) ).
thf(f12189,plain,
( ( $true
= ( sK11 @ $true ) )
| ~ spl0_81
| ~ spl0_86 ),
inference(forward_demodulation,[status(thm)],[f755,f732]) ).
thf(f755,plain,
( ( $true
= ( sK11 @ ( eps5 @ sK11 ) ) )
| ~ spl0_86 ),
inference(avatar_component_clause,[status(thm)],[f753]) ).
thf(f12159,plain,
( ~ spl0_75
| ~ spl0_150 ),
inference(avatar_contradiction_clause,[status(thm)],[f12158]) ).
thf(f12158,plain,
( $false
| ~ spl0_75
| ~ spl0_150 ),
inference(trivial_inequality_removal,[status(thm)],[f12157]) ).
thf(f12157,plain,
( ( $true = $false )
| ~ spl0_75
| ~ spl0_150 ),
inference(forward_demodulation,[status(thm)],[f2077,f683]) ).
thf(f2077,plain,
( ( ( sK10 @ sK19 )
= $true )
| ~ spl0_150 ),
inference(avatar_component_clause,[status(thm)],[f2075]) ).
thf(f12135,plain,
( ~ spl0_10
| spl0_163 ),
inference(avatar_contradiction_clause,[status(thm)],[f12134]) ).
thf(f12134,plain,
( $false
| ~ spl0_10
| spl0_163 ),
inference(subsumption_resolution,[status(thm)],[f2698,f152]) ).
thf(f2698,plain,
( ( ( sK3 @ sK48 )
!= $false )
| spl0_163 ),
inference(avatar_component_clause,[status(thm)],[f2697]) ).
thf(f2697,definition,
( spl0_163
<=> ( ( sK3 @ sK48 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_163])],[avatar_definition]) ).
thf(f12125,plain,
( ~ spl0_23
| ~ spl0_52
| spl0_184 ),
inference(avatar_split_clause,[status(thm)],[f12124,f3579,f504,f257]) ).
thf(f12124,plain,
( ( sK3 != sK2 )
| ~ spl0_52
| spl0_184 ),
inference(forward_demodulation,[status(thm)],[f3581,f505]) ).
thf(f3581,plain,
( ( sK3 != sK7 )
| spl0_184 ),
inference(avatar_component_clause,[status(thm)],[f3579]) ).
thf(f12122,plain,
( ~ spl0_10
| ~ spl0_225 ),
inference(avatar_contradiction_clause,[status(thm)],[f12121]) ).
thf(f12121,plain,
( $false
| ~ spl0_10
| ~ spl0_225 ),
inference(trivial_inequality_removal,[status(thm)],[f12120]) ).
thf(f12120,plain,
( ( $true = $false )
| ~ spl0_10
| ~ spl0_225 ),
inference(forward_demodulation,[status(thm)],[f7275,f152]) ).
thf(f7275,plain,
( ( $true
= ( sK3 @ sK68 ) )
| ~ spl0_225 ),
inference(avatar_component_clause,[status(thm)],[f7274]) ).
thf(f12105,plain,
( ~ spl0_10
| ~ spl0_151 ),
inference(avatar_contradiction_clause,[status(thm)],[f12104]) ).
thf(f12104,plain,
( $false
| ~ spl0_10
| ~ spl0_151 ),
inference(trivial_inequality_removal,[status(thm)],[f12103]) ).
thf(f12103,plain,
( ( $true = $false )
| ~ spl0_10
| ~ spl0_151 ),
inference(forward_demodulation,[status(thm)],[f2081,f152]) ).
thf(f2081,plain,
( ( $true
= ( sK3 @ sK19 ) )
| ~ spl0_151 ),
inference(avatar_component_clause,[status(thm)],[f2079]) ).
thf(f2079,definition,
( spl0_151
<=> ( $true
= ( sK3 @ sK19 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_151])],[avatar_definition]) ).
thf(f12102,plain,
( ~ spl0_10
| ~ spl0_248 ),
inference(avatar_contradiction_clause,[status(thm)],[f12101]) ).
thf(f12101,plain,
( $false
| ~ spl0_10
| ~ spl0_248 ),
inference(trivial_inequality_removal,[status(thm)],[f12100]) ).
thf(f12100,plain,
( ( $true = $false )
| ~ spl0_10
| ~ spl0_248 ),
inference(forward_demodulation,[status(thm)],[f11643,f152]) ).
thf(f11643,plain,
( ( ( sK3 @ sK131 )
= $true )
| ~ spl0_248 ),
inference(avatar_component_clause,[status(thm)],[f11641]) ).
thf(f11641,definition,
( spl0_248
<=> ( ( sK3 @ sK131 )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl0_248])],[avatar_definition]) ).
thf(f12011,plain,
( spl0_10
| ~ spl0_9
| ~ spl0_45 ),
inference(avatar_split_clause,[status(thm)],[f12010,f467,f146,f151]) ).
thf(f12010,plain,
( ! [X1: $o] :
( ( sK3 @ X1 )
= $false )
| ~ spl0_9
| ~ spl0_45 ),
inference(trivial_inequality_removal,[status(thm)],[f12009]) ).
thf(f12009,plain,
( ! [X1: $o] :
( ( $true = $false )
| ( ( sK3 @ X1 )
= $false ) )
| ~ spl0_9
| ~ spl0_45 ),
inference(forward_demodulation,[status(thm)],[f5943,f468]) ).
thf(f5943,plain,
( ! [X1: $o] :
( ( $true
= ( sK3 @ $true ) )
| ( ( sK3 @ X1 )
= $false ) )
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f5937,f148]) ).
thf(f5937,plain,
! [X1: $o] :
( ( ( sK3 @ X1 )
= $false )
| ( $true
= ( sK3 @ ( eps3 @ sK3 ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f11969,plain,
( ~ spl0_24
| ~ spl0_5
| ~ spl0_52 ),
inference(avatar_split_clause,[status(thm)],[f11966,f504,f110,f261]) ).
thf(f11966,plain,
( ( ( eps3 @ sK2 )
!= $false )
| ~ spl0_5
| ~ spl0_52 ),
inference(backward_demodulation,[status(thm)],[f11008,f112]) ).
thf(f11008,plain,
( ( ( eps3 @ sK2 )
!= ( eps4 @ sK2 ) )
| ~ spl0_52 ),
inference(forward_demodulation,[status(thm)],[f82,f505]) ).
thf(f11934,plain,
( ~ spl0_24
| ~ spl0_17
| spl0_210 ),
inference(avatar_split_clause,[status(thm)],[f11933,f5237,f205,f261]) ).
thf(f11933,plain,
( ( ( eps3 @ sK2 )
!= $false )
| ~ spl0_17
| spl0_210 ),
inference(forward_demodulation,[status(thm)],[f5238,f206]) ).
thf(f11928,plain,
( spl0_90
| ~ spl0_139
| ~ spl0_140 ),
inference(avatar_split_clause,[status(thm)],[f11927,f1849,f1844,f987]) ).
thf(f1849,definition,
( spl0_140
<=> ( $true
= ( sK9 @ sK18 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_140])],[avatar_definition]) ).
thf(f11927,plain,
( ( $true
= ( sK9 @ $true ) )
| ~ spl0_139
| ~ spl0_140 ),
inference(forward_demodulation,[status(thm)],[f1851,f1845]) ).
thf(f1851,plain,
( ( $true
= ( sK9 @ sK18 ) )
| ~ spl0_140 ),
inference(avatar_component_clause,[status(thm)],[f1849]) ).
thf(f11918,plain,
( ~ spl0_4
| ~ spl0_17
| ~ spl0_131 ),
inference(avatar_split_clause,[status(thm)],[f11917,f1735,f205,f106]) ).
thf(f11917,plain,
( ( ( eps2 @ sK2 )
!= $false )
| ~ spl0_17
| ~ spl0_131 ),
inference(forward_demodulation,[status(thm)],[f11916,f1737]) ).
thf(f11916,plain,
( ( ( eps2 @ sK2 )
!= ( eps1 @ sK2 ) )
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f79,f206]) ).
thf(f11871,plain,
( ~ spl0_23
| spl0_25
| ~ spl0_13
| ~ spl0_52 ),
inference(avatar_split_clause,[status(thm)],[f11870,f504,f164,f267,f257]) ).
thf(f11870,plain,
( ( sK3 != sK2 )
| ( ( eps5 @ sK2 )
= $false )
| ~ spl0_13
| ~ spl0_52 ),
inference(forward_demodulation,[status(thm)],[f11383,f505]) ).
thf(f11383,plain,
( ( sK3 != sK7 )
| ( ( eps5 @ sK2 )
= $false )
| ~ spl0_13
| ~ spl0_52 ),
inference(constrained_superposition,[status(thm)],[f166,f505]) ).
thf(f166,plain,
( ( $false
= ( eps5 @ sK3 ) )
| ~ spl0_13 ),
inference(avatar_component_clause,[status(thm)],[f164]) ).
thf(f11866,plain,
( spl0_10
| spl0_253
| ~ spl0_9 ),
inference(avatar_split_clause,[status(thm)],[f11360,f146,f11847,f151]) ).
thf(f11360,plain,
( ! [X1: $o] :
( ( ( sK3 @ X1 )
= $false )
| ( $true
= ( sK3 @ $true ) ) )
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f11354,f148]) ).
thf(f11354,plain,
! [X1: $o] :
( ( $true
= ( sK3 @ ( eps3 @ sK3 ) ) )
| ( ( sK3 @ X1 )
= $false ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f11833,plain,
( ~ spl0_59
| ~ spl0_247 ),
inference(avatar_contradiction_clause,[status(thm)],[f11832]) ).
thf(f11832,plain,
( $false
| ~ spl0_59
| ~ spl0_247 ),
inference(trivial_inequality_removal,[status(thm)],[f11831]) ).
thf(f11831,plain,
( ( $true = $false )
| ~ spl0_59
| ~ spl0_247 ),
inference(backward_demodulation,[status(thm)],[f11639,f563]) ).
thf(f563,plain,
( ! [X1: $o] :
( ( sK8 @ X1 )
= $false )
| ~ spl0_59 ),
inference(avatar_component_clause,[status(thm)],[f562]) ).
thf(f11639,plain,
( ( $true
= ( sK8 @ sK131 ) )
| ~ spl0_247 ),
inference(avatar_component_clause,[status(thm)],[f11637]) ).
thf(f11637,definition,
( spl0_247
<=> ( $true
= ( sK8 @ sK131 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_247])],[avatar_definition]) ).
thf(f11817,plain,
( spl0_23
| ~ spl0_52
| ~ spl0_184 ),
inference(avatar_split_clause,[status(thm)],[f11816,f3579,f504,f257]) ).
thf(f11816,plain,
( ( sK3 = sK2 )
| ~ spl0_52
| ~ spl0_184 ),
inference(forward_demodulation,[status(thm)],[f3580,f505]) ).
thf(f11778,plain,
( ~ spl0_133
| spl0_80
| ~ spl0_132 ),
inference(avatar_split_clause,[status(thm)],[f11776,f1742,f725,f1758]) ).
thf(f11776,plain,
( ( $true
!= ( eps1 @ sK2 ) )
| spl0_80
| ~ spl0_132 ),
inference(backward_demodulation,[status(thm)],[f727,f1743]) ).
thf(f727,plain,
( ( ( eps1 @ sK11 )
!= $true )
| spl0_80 ),
inference(avatar_component_clause,[status(thm)],[f725]) ).
thf(f11768,plain,
( spl0_18
| spl0_213
| ~ spl0_20 ),
inference(avatar_split_clause,[status(thm)],[f9042,f218,f5514,f210]) ).
thf(f9042,plain,
( ! [X1: $o] :
( ( $true
= ( sK4 @ $false ) )
| ( ( sK4 @ X1 )
= $false ) )
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f4670,f220]) ).
thf(f4670,plain,
! [X1: $o] :
( ( $true
= ( sK4 @ ( eps2 @ sK4 ) ) )
| ( ( sK4 @ X1 )
= $false ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f11748,plain,
( spl0_94
| spl0_18
| ~ spl0_16 ),
inference(avatar_split_clause,[status(thm)],[f10218,f200,f210,f1037]) ).
thf(f10218,plain,
( ! [X1: $o] :
( ( $true
= ( sK4 @ $true ) )
| ( ( sK4 @ X1 )
= $false ) )
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f5264,f202]) ).
thf(f5264,plain,
! [X1: $o] :
( ( ( sK4 @ X1 )
= $false )
| ( $true
= ( sK4 @ ( eps1 @ sK4 ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f11732,plain,
( ~ spl0_145
| spl0_21
| ~ spl0_146 ),
inference(avatar_split_clause,[status(thm)],[f11729,f1983,f222,f1977]) ).
thf(f11729,plain,
( ( $false
!= ( eps1 @ sK3 ) )
| spl0_21
| ~ spl0_146 ),
inference(backward_demodulation,[status(thm)],[f223,f1984]) ).
thf(f11723,plain,
( ~ spl0_17
| ~ spl0_52
| spl0_212 ),
inference(avatar_split_clause,[status(thm)],[f11722,f5250,f504,f205]) ).
thf(f11722,plain,
( ( sK4 != sK2 )
| ~ spl0_52
| spl0_212 ),
inference(forward_demodulation,[status(thm)],[f5252,f505]) ).
thf(f11721,plain,
( spl0_57
| ~ spl0_143
| ~ spl0_144 ),
inference(avatar_contradiction_clause,[status(thm)],[f11720]) ).
thf(f11720,plain,
( $false
| spl0_57
| ~ spl0_143
| ~ spl0_144 ),
inference(subsumption_resolution,[status(thm)],[f11719,f1973]) ).
thf(f1973,plain,
( ( $true
= ( eps1 @ sK3 ) )
| ~ spl0_144 ),
inference(avatar_component_clause,[status(thm)],[f1971]) ).
thf(f11719,plain,
( ( $true
!= ( eps1 @ sK3 ) )
| spl0_57
| ~ spl0_143 ),
inference(forward_demodulation,[status(thm)],[f554,f1966]) ).
thf(f554,plain,
( ( $true
!= ( eps1 @ sK8 ) )
| spl0_57 ),
inference(avatar_component_clause,[status(thm)],[f552]) ).
thf(f11678,plain,
( ~ spl0_37
| spl0_248
| ~ spl0_250 ),
inference(avatar_contradiction_clause,[status(thm)],[f11677]) ).
thf(f11677,plain,
( $false
| ~ spl0_37
| spl0_248
| ~ spl0_250 ),
inference(subsumption_resolution,[status(thm)],[f11676,f375]) ).
thf(f11676,plain,
( ( ( sK3 @ $false )
!= $true )
| spl0_248
| ~ spl0_250 ),
inference(forward_demodulation,[status(thm)],[f11642,f11652]) ).
thf(f11652,plain,
( ( sK131 = $false )
| ~ spl0_250 ),
inference(avatar_component_clause,[status(thm)],[f11651]) ).
thf(f11651,definition,
( spl0_250
<=> ( sK131 = $false ) ),
introduced(definition,[new_symbols(naming,[spl0_250])],[avatar_definition]) ).
thf(f11642,plain,
( ( ( sK3 @ sK131 )
!= $true )
| spl0_248 ),
inference(avatar_component_clause,[status(thm)],[f11641]) ).
thf(f11658,plain,
( spl0_250
| ~ spl0_9
| ~ spl0_12
| spl0_143
| ~ spl0_158 ),
inference(avatar_split_clause,[status(thm)],[f11657,f2363,f1965,f159,f146,f11651]) ).
thf(f11657,plain,
( ( sK131 = $false )
| ~ spl0_9
| ~ spl0_12
| spl0_143
| ~ spl0_158 ),
inference(subsumption_resolution,[status(thm)],[f11656,f406]) ).
thf(f406,plain,
( ( $true
= ( sK3 @ $true ) )
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f161,f148]) ).
thf(f11656,plain,
( ( $true
!= ( sK3 @ $true ) )
| ( sK131 = $false )
| spl0_143
| ~ spl0_158 ),
inference(forward_demodulation,[status(thm)],[f11622,f2365]) ).
thf(f11622,plain,
( ( sK131 = $false )
| ( ( sK3 @ $true )
!= ( sK8 @ $true ) )
| spl0_143 ),
inference(fool_paramodulation,[status(thm)],[f11318]) ).
thf(f11318,plain,
( ( ( sK3 @ sK131 )
!= ( sK8 @ sK131 ) )
| spl0_143 ),
inference(negative_extensionality,[status(thm)],[f1967]) ).
thf(f11654,plain,
( ~ spl0_250
| ~ spl0_248
| ~ spl0_87
| spl0_143 ),
inference(avatar_split_clause,[status(thm)],[f11625,f1965,f853,f11641,f11651]) ).
thf(f11625,plain,
( ( ( sK3 @ sK131 )
!= $true )
| ( sK131 != $false )
| ~ spl0_87
| spl0_143 ),
inference(constrained_superposition,[status(thm)],[f11318,f855]) ).
thf(f11644,plain,
( spl0_247
| spl0_248
| spl0_143 ),
inference(avatar_split_clause,[status(thm)],[f11620,f1965,f11641,f11637]) ).
thf(f11620,plain,
( ( ( sK3 @ sK131 )
= $true )
| ( $true
= ( sK8 @ sK131 ) )
| spl0_143 ),
inference(binary_proxy_clausification,[status(thm)],[f11318]) ).
thf(f11101,plain,
( ~ spl0_39
| ~ spl0_38 ),
inference(avatar_split_clause,[status(thm)],[f11100,f419,f423]) ).
thf(f11100,plain,
( ( $false
!= ( eps1 @ sK6 ) )
| ~ spl0_38 ),
inference(forward_demodulation,[status(thm)],[f81,f421]) ).
thf(f11087,plain,
( ~ spl0_9
| ~ spl0_142
| ~ spl0_144 ),
inference(avatar_contradiction_clause,[status(thm)],[f11086]) ).
thf(f11086,plain,
( $false
| ~ spl0_9
| ~ spl0_142
| ~ spl0_144 ),
inference(subsumption_resolution,[status(thm)],[f11085,f148]) ).
thf(f11085,plain,
( ( $true
!= ( eps3 @ sK3 ) )
| ~ spl0_142
| ~ spl0_144 ),
inference(forward_demodulation,[status(thm)],[f11084,f1973]) ).
thf(f11084,plain,
( ( ( eps3 @ sK3 )
!= ( eps1 @ sK3 ) )
| ~ spl0_142 ),
inference(forward_demodulation,[status(thm)],[f81,f1962]) ).
thf(f11079,plain,
( spl0_14
| ~ spl0_38
| ~ spl0_142 ),
inference(avatar_contradiction_clause,[status(thm)],[f11078]) ).
thf(f11078,plain,
( $false
| spl0_14
| ~ spl0_38
| ~ spl0_142 ),
inference(subsumption_resolution,[status(thm)],[f11077,f170]) ).
thf(f11077,plain,
( ( ( eps3 @ sK3 )
= $false )
| ~ spl0_38
| ~ spl0_142 ),
inference(backward_demodulation,[status(thm)],[f421,f1962]) ).
thf(f11003,plain,
( spl0_144
| ~ spl0_80
| ~ spl0_85 ),
inference(avatar_split_clause,[status(thm)],[f11001,f748,f725,f1971]) ).
thf(f11001,plain,
( ( $true
= ( eps1 @ sK3 ) )
| ~ spl0_80
| ~ spl0_85 ),
inference(backward_demodulation,[status(thm)],[f726,f749]) ).
thf(f10956,plain,
( ~ spl0_30
| spl0_146
| ~ spl0_242 ),
inference(avatar_contradiction_clause,[status(thm)],[f10955]) ).
thf(f10955,plain,
( $false
| ~ spl0_30
| spl0_146
| ~ spl0_242 ),
inference(subsumption_resolution,[status(thm)],[f10954,f1985]) ).
thf(f10954,plain,
( ( sK4 = sK3 )
| ~ spl0_30
| ~ spl0_242 ),
inference(backward_demodulation,[status(thm)],[f10660,f327]) ).
thf(f10946,plain,
( spl0_34
| ~ spl0_18
| ~ spl0_242 ),
inference(avatar_split_clause,[status(thm)],[f10945,f10659,f210,f344]) ).
thf(f10945,plain,
( ! [X1: $o] :
( $false
= ( sK5 @ X1 ) )
| ~ spl0_18
| ~ spl0_242 ),
inference(trivial_inequality_removal,[status(thm)],[f10944]) ).
thf(f10944,plain,
( ! [X1: $o] :
( ( $false
= ( sK5 @ X1 ) )
| ( $true = $false ) )
| ~ spl0_18
| ~ spl0_242 ),
inference(forward_demodulation,[status(thm)],[f10943,f211]) ).
thf(f10943,plain,
( ! [X1: $o] :
( ( $false
= ( sK5 @ X1 ) )
| ( $true
= ( sK4 @ ( eps4 @ sK4 ) ) ) )
| ~ spl0_242 ),
inference(forward_demodulation,[status(thm)],[f10636,f10660]) ).
thf(f10636,plain,
! [X1: $o] :
( ( $false
= ( sK5 @ X1 ) )
| ( $true
= ( sK5 @ ( eps4 @ sK5 ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f10942,plain,
( ~ spl0_5
| spl0_51
| ~ spl0_52 ),
inference(avatar_split_clause,[status(thm)],[f10941,f504,f499,f110]) ).
thf(f10941,plain,
( ( ( eps4 @ sK2 )
!= $false )
| spl0_51
| ~ spl0_52 ),
inference(forward_demodulation,[status(thm)],[f500,f505]) ).
thf(f10935,plain,
( spl0_7
| ~ spl0_52
| ~ spl0_54 ),
inference(avatar_split_clause,[status(thm)],[f10934,f513,f504,f119]) ).
thf(f10934,plain,
( ( $true
= ( eps4 @ sK2 ) )
| ~ spl0_52
| ~ spl0_54 ),
inference(forward_demodulation,[status(thm)],[f515,f505]) ).
thf(f10920,plain,
( ~ spl0_25
| ~ spl0_4
| ~ spl0_129 ),
inference(avatar_split_clause,[status(thm)],[f10918,f1725,f106,f267]) ).
thf(f10918,plain,
( ( ( eps5 @ sK2 )
!= $false )
| ~ spl0_4
| ~ spl0_129 ),
inference(backward_demodulation,[status(thm)],[f10269,f108]) ).
thf(f10269,plain,
( ( ( eps2 @ sK2 )
!= ( eps5 @ sK2 ) )
| ~ spl0_129 ),
inference(forward_demodulation,[status(thm)],[f84,f1726]) ).
thf(f10872,plain,
( ~ spl0_6
| spl0_63
| ~ spl0_129 ),
inference(avatar_split_clause,[status(thm)],[f10871,f1725,f601,f115]) ).
thf(f10871,plain,
( ( ( eps2 @ sK2 )
!= $true )
| spl0_63
| ~ spl0_129 ),
inference(forward_demodulation,[status(thm)],[f603,f1726]) ).
thf(f10801,plain,
( spl0_111
| ~ spl0_79
| ~ spl0_86 ),
inference(avatar_split_clause,[status(thm)],[f10800,f753,f721,f1407]) ).
thf(f10800,plain,
( ( ( sK11 @ $false )
= $true )
| ~ spl0_79
| ~ spl0_86 ),
inference(forward_demodulation,[status(thm)],[f755,f723]) ).
thf(f10799,plain,
( ~ spl0_17
| spl0_128
| ~ spl0_242 ),
inference(avatar_split_clause,[status(thm)],[f10687,f10659,f1721,f205]) ).
thf(f10687,plain,
( ( sK4 != sK2 )
| spl0_128
| ~ spl0_242 ),
inference(superposition,[status(thm)],[f1723,f10660]) ).
thf(f10676,plain,
( ~ spl0_18
| ~ spl0_34
| spl0_242 ),
inference(avatar_contradiction_clause,[status(thm)],[f10675]) ).
thf(f10675,plain,
( $false
| ~ spl0_18
| ~ spl0_34
| spl0_242 ),
inference(subsumption_resolution,[status(thm)],[f10674,f345]) ).
thf(f345,plain,
( ! [X1: $o] :
( $false
= ( sK5 @ X1 ) )
| ~ spl0_34 ),
inference(avatar_component_clause,[status(thm)],[f344]) ).
thf(f10674,plain,
( ( ( sK5 @ sK127 )
!= $false )
| ~ spl0_18
| spl0_242 ),
inference(forward_demodulation,[status(thm)],[f10666,f211]) ).
thf(f10666,plain,
( ( ( sK5 @ sK127 )
!= ( sK4 @ sK127 ) )
| spl0_242 ),
inference(negative_extensionality,[status(thm)],[f10661]) ).
thf(f10582,plain,
( ~ spl0_158
| spl0_234
| spl0_239 ),
inference(avatar_contradiction_clause,[status(thm)],[f10581]) ).
thf(f10581,plain,
( $false
| ~ spl0_158
| spl0_234
| spl0_239 ),
inference(subsumption_resolution,[status(thm)],[f10580,f2365]) ).
thf(f10580,plain,
( ( $true
!= ( sK8 @ $true ) )
| spl0_234
| spl0_239 ),
inference(subsumption_resolution,[status(thm)],[f10568,f9996]) ).
thf(f9996,plain,
( ( sK121 != $false )
| spl0_234 ),
inference(avatar_component_clause,[status(thm)],[f9994]) ).
thf(f9994,definition,
( spl0_234
<=> ( sK121 = $false ) ),
introduced(definition,[new_symbols(naming,[spl0_234])],[avatar_definition]) ).
thf(f10568,plain,
( ( sK121 = $false )
| ( $true
!= ( sK8 @ $true ) )
| spl0_239 ),
inference(fool_paramodulation,[status(thm)],[f10018]) ).
thf(f10018,plain,
( ( $true
!= ( sK8 @ sK121 ) )
| spl0_239 ),
inference(avatar_component_clause,[status(thm)],[f10017]) ).
thf(f10017,definition,
( spl0_239
<=> ( $true
= ( sK8 @ sK121 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_239])],[avatar_definition]) ).
thf(f10520,plain,
( ~ spl0_180
| spl0_234
| spl0_235 ),
inference(avatar_contradiction_clause,[status(thm)],[f10519]) ).
thf(f10519,plain,
( $false
| ~ spl0_180
| spl0_234
| spl0_235 ),
inference(subsumption_resolution,[status(thm)],[f10518,f9996]) ).
thf(f10518,plain,
( ( sK121 = $false )
| ~ spl0_180
| spl0_235 ),
inference(subsumption_resolution,[status(thm)],[f10509,f3062]) ).
thf(f10509,plain,
( ( $true
!= ( sK2 @ $true ) )
| ( sK121 = $false )
| spl0_235 ),
inference(fool_paramodulation,[status(thm)],[f10000]) ).
thf(f10000,plain,
( ( $true
!= ( sK2 @ sK121 ) )
| spl0_235 ),
inference(avatar_component_clause,[status(thm)],[f9998]) ).
thf(f9998,definition,
( spl0_235
<=> ( $true
= ( sK2 @ sK121 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_235])],[avatar_definition]) ).
thf(f10476,plain,
( ~ spl0_211
| ~ spl0_16
| ~ spl0_209 ),
inference(avatar_split_clause,[status(thm)],[f10475,f5233,f200,f5246]) ).
thf(f10475,plain,
( ( $true
!= ( eps3 @ sK4 ) )
| ~ spl0_16
| ~ spl0_209 ),
inference(forward_demodulation,[status(thm)],[f10469,f202]) ).
thf(f10469,plain,
( ( ( eps1 @ sK4 )
!= ( eps3 @ sK4 ) )
| ~ spl0_209 ),
inference(forward_demodulation,[status(thm)],[f81,f5234]) ).
thf(f10474,plain,
( spl0_210
| ~ spl0_38
| ~ spl0_209 ),
inference(avatar_split_clause,[status(thm)],[f10465,f5233,f419,f5237]) ).
thf(f10465,plain,
( ( $false
= ( eps3 @ sK4 ) )
| ~ spl0_38
| ~ spl0_209 ),
inference(forward_demodulation,[status(thm)],[f421,f5234]) ).
thf(f10460,plain,
( spl0_21
| ~ spl0_39
| ~ spl0_209 ),
inference(avatar_contradiction_clause,[status(thm)],[f10459]) ).
thf(f10459,plain,
( $false
| spl0_21
| ~ spl0_39
| ~ spl0_209 ),
inference(subsumption_resolution,[status(thm)],[f10456,f223]) ).
thf(f10456,plain,
( ( ( eps1 @ sK4 )
= $false )
| ~ spl0_39
| ~ spl0_209 ),
inference(backward_demodulation,[status(thm)],[f425,f5234]) ).
thf(f10455,plain,
( ~ spl0_18
| ~ spl0_41
| spl0_209 ),
inference(avatar_contradiction_clause,[status(thm)],[f10454]) ).
thf(f10454,plain,
( $false
| ~ spl0_18
| ~ spl0_41
| spl0_209 ),
inference(subsumption_resolution,[status(thm)],[f10453,f211]) ).
thf(f10453,plain,
( ( ( sK4 @ sK126 )
!= $false )
| ~ spl0_41
| spl0_209 ),
inference(forward_demodulation,[status(thm)],[f10448,f433]) ).
thf(f10448,plain,
( ( ( sK4 @ sK126 )
!= ( sK6 @ sK126 ) )
| spl0_209 ),
inference(negative_extensionality,[status(thm)],[f5235]) ).
thf(f10293,plain,
( spl0_4
| ~ spl0_23
| ~ spl0_224 ),
inference(avatar_contradiction_clause,[status(thm)],[f10292]) ).
thf(f10292,plain,
( $false
| spl0_4
| ~ spl0_23
| ~ spl0_224 ),
inference(subsumption_resolution,[status(thm)],[f9147,f107]) ).
thf(f107,plain,
( ( ( eps2 @ sK2 )
!= $false )
| spl0_4 ),
inference(avatar_component_clause,[status(thm)],[f106]) ).
thf(f9147,plain,
( ( ( eps2 @ sK2 )
= $false )
| ~ spl0_23
| ~ spl0_224 ),
inference(forward_demodulation,[status(thm)],[f7047,f258]) ).
thf(f10261,plain,
( ~ spl0_7
| ~ spl0_61
| ~ spl0_133 ),
inference(avatar_split_clause,[status(thm)],[f10259,f1758,f570,f119]) ).
thf(f10259,plain,
( ( $true
!= ( eps4 @ sK2 ) )
| ~ spl0_61
| ~ spl0_133 ),
inference(backward_demodulation,[status(thm)],[f10191,f1760]) ).
thf(f10191,plain,
( ( ( eps1 @ sK2 )
!= ( eps4 @ sK2 ) )
| ~ spl0_61 ),
inference(forward_demodulation,[status(thm)],[f83,f571]) ).
thf(f10232,plain,
( spl0_133
| ~ spl0_57
| ~ spl0_61 ),
inference(avatar_split_clause,[status(thm)],[f10231,f570,f552,f1758]) ).
thf(f10231,plain,
( ( $true
= ( eps1 @ sK2 ) )
| ~ spl0_57
| ~ spl0_61 ),
inference(forward_demodulation,[status(thm)],[f553,f571]) ).
thf(f10227,plain,
( spl0_5
| ~ spl0_55
| ~ spl0_61 ),
inference(avatar_split_clause,[status(thm)],[f10226,f570,f543,f110]) ).
thf(f10226,plain,
( ( ( eps4 @ sK2 )
= $false )
| ~ spl0_55
| ~ spl0_61 ),
inference(forward_demodulation,[status(thm)],[f545,f571]) ).
thf(f10224,plain,
( spl0_101
| spl0_34
| ~ spl0_35 ),
inference(avatar_split_clause,[status(thm)],[f10223,f348,f344,f1229]) ).
thf(f10223,plain,
( ! [X1: $o] :
( ( $false
= ( sK5 @ X1 ) )
| ( $true
= ( sK5 @ $false ) ) )
| ~ spl0_35 ),
inference(forward_demodulation,[status(thm)],[f8557,f350]) ).
thf(f8557,plain,
! [X1: $o] :
( ( ( sK5 @ ( eps5 @ sK5 ) )
= $true )
| ( $false
= ( sK5 @ X1 ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f10210,plain,
( spl0_233
| spl0_48
| ~ spl0_51 ),
inference(avatar_split_clause,[status(thm)],[f10209,f499,f486,f7396]) ).
thf(f10209,plain,
( ! [X1: $o] :
( ( ( sK7 @ X1 )
= $false )
| ( $true
= ( sK7 @ $false ) ) )
| ~ spl0_51 ),
inference(forward_demodulation,[status(thm)],[f3840,f501]) ).
thf(f3840,plain,
! [X1: $o] :
( ( ( sK7 @ X1 )
= $false )
| ( $true
= ( sK7 @ ( eps4 @ sK7 ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f10204,plain,
( spl0_34
| ~ spl0_31
| ~ spl0_103 ),
inference(avatar_split_clause,[status(thm)],[f10203,f1249,f331,f344]) ).
thf(f1249,definition,
( spl0_103
<=> ( $false
= ( sK5 @ $true ) ) ),
introduced(definition,[new_symbols(naming,[spl0_103])],[avatar_definition]) ).
thf(f10203,plain,
( ! [X1: $o] :
( $false
= ( sK5 @ X1 ) )
| ~ spl0_31
| ~ spl0_103 ),
inference(trivial_inequality_removal,[status(thm)],[f10202]) ).
thf(f10202,plain,
( ! [X1: $o] :
( ( $true = $false )
| ( $false
= ( sK5 @ X1 ) ) )
| ~ spl0_31
| ~ spl0_103 ),
inference(forward_demodulation,[status(thm)],[f10201,f1250]) ).
thf(f1250,plain,
( ( $false
= ( sK5 @ $true ) )
| ~ spl0_103 ),
inference(avatar_component_clause,[status(thm)],[f1249]) ).
thf(f10201,plain,
( ! [X1: $o] :
( ( $false
= ( sK5 @ X1 ) )
| ( $true
= ( sK5 @ $true ) ) )
| ~ spl0_31 ),
inference(forward_demodulation,[status(thm)],[f1633,f333]) ).
thf(f1633,plain,
! [X1: $o] :
( ( $false
= ( sK5 @ X1 ) )
| ( $true
= ( sK5 @ ( eps4 @ sK5 ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f10178,plain,
( spl0_120
| spl0_48
| ~ spl0_50 ),
inference(avatar_split_clause,[status(thm)],[f10177,f495,f486,f1517]) ).
thf(f10177,plain,
( ! [X1: $o] :
( ( $true
= ( sK7 @ $true ) )
| ( ( sK7 @ X1 )
= $false ) )
| ~ spl0_50 ),
inference(forward_demodulation,[status(thm)],[f6358,f496]) ).
thf(f6358,plain,
! [X1: $o] :
( ( ( sK7 @ X1 )
= $false )
| ( ( sK7 @ ( eps3 @ sK7 ) )
= $true ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f10170,plain,
( ~ spl0_128
| ~ spl0_23
| spl0_30 ),
inference(avatar_split_clause,[status(thm)],[f10169,f326,f257,f1721]) ).
thf(f10169,plain,
( ( sK2 != sK5 )
| ~ spl0_23
| spl0_30 ),
inference(forward_demodulation,[status(thm)],[f328,f258]) ).
thf(f328,plain,
( ( sK3 != sK5 )
| spl0_30 ),
inference(avatar_component_clause,[status(thm)],[f326]) ).
thf(f10139,plain,
( spl0_90
| spl0_68
| ~ spl0_63 ),
inference(avatar_split_clause,[status(thm)],[f10138,f601,f625,f987]) ).
thf(f10138,plain,
( ! [X1: $o] :
( ( ( sK9 @ X1 )
= $false )
| ( $true
= ( sK9 @ $true ) ) )
| ~ spl0_63 ),
inference(forward_demodulation,[status(thm)],[f9613,f602]) ).
thf(f9613,plain,
! [X1: $o] :
( ( ( sK9 @ X1 )
= $false )
| ( $true
= ( sK9 @ ( eps2 @ sK9 ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f10108,plain,
( spl0_34
| spl0_121
| ~ spl0_31 ),
inference(avatar_split_clause,[status(thm)],[f10107,f331,f1531,f344]) ).
thf(f10107,plain,
( ! [X1: $o] :
( ( $true
= ( sK5 @ $true ) )
| ( $false
= ( sK5 @ X1 ) ) )
| ~ spl0_31 ),
inference(forward_demodulation,[status(thm)],[f7942,f333]) ).
thf(f7942,plain,
! [X1: $o] :
( ( $true
= ( sK5 @ ( eps4 @ sK5 ) ) )
| ( $false
= ( sK5 @ X1 ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f10067,plain,
( ~ spl0_237
| ~ spl0_239 ),
inference(avatar_contradiction_clause,[status(thm)],[f10066]) ).
thf(f10066,plain,
( $false
| ~ spl0_237
| ~ spl0_239 ),
inference(trivial_inequality_removal,[status(thm)],[f10065]) ).
thf(f10065,plain,
( ( $true = $false )
| ~ spl0_237
| ~ spl0_239 ),
inference(backward_demodulation,[status(thm)],[f10019,f10009]) ).
thf(f10009,plain,
( ( ( sK8 @ sK121 )
= $false )
| ~ spl0_237 ),
inference(avatar_component_clause,[status(thm)],[f10007]) ).
thf(f10007,definition,
( spl0_237
<=> ( ( sK8 @ sK121 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_237])],[avatar_definition]) ).
thf(f10019,plain,
( ( $true
= ( sK8 @ sK121 ) )
| ~ spl0_239 ),
inference(avatar_component_clause,[status(thm)],[f10017]) ).
thf(f10040,plain,
( ~ spl0_109
| ~ spl0_234
| spl0_235 ),
inference(avatar_contradiction_clause,[status(thm)],[f10039]) ).
thf(f10039,plain,
( $false
| ~ spl0_109
| ~ spl0_234
| spl0_235 ),
inference(subsumption_resolution,[status(thm)],[f10038,f1325]) ).
thf(f10038,plain,
( ( $true
!= ( sK2 @ $false ) )
| ~ spl0_234
| spl0_235 ),
inference(forward_demodulation,[status(thm)],[f10000,f9995]) ).
thf(f9995,plain,
( ( sK121 = $false )
| ~ spl0_234 ),
inference(avatar_component_clause,[status(thm)],[f9994]) ).
thf(f10024,plain,
( spl0_237
| ~ spl0_235
| spl0_61 ),
inference(avatar_split_clause,[status(thm)],[f9989,f570,f9998,f10007]) ).
thf(f9989,plain,
( ( ( sK8 @ sK121 )
= $false )
| ( $true
!= ( sK2 @ sK121 ) )
| spl0_61 ),
inference(fool_paramodulation,[status(thm)],[f9795]) ).
thf(f9795,plain,
( ( ( sK8 @ sK121 )
!= ( sK2 @ sK121 ) )
| spl0_61 ),
inference(negative_extensionality,[status(thm)],[f572]) ).
thf(f572,plain,
( ( sK8 != sK2 )
| spl0_61 ),
inference(avatar_component_clause,[status(thm)],[f570]) ).
thf(f10023,plain,
( spl0_234
| spl0_61
| ~ spl0_158
| ~ spl0_180 ),
inference(avatar_split_clause,[status(thm)],[f10022,f3060,f2363,f570,f9994]) ).
thf(f10022,plain,
( ( sK121 = $false )
| spl0_61
| ~ spl0_158
| ~ spl0_180 ),
inference(subsumption_resolution,[status(thm)],[f10021,f3062]) ).
thf(f10021,plain,
( ( sK121 = $false )
| ( $true
!= ( sK2 @ $true ) )
| spl0_61
| ~ spl0_158 ),
inference(forward_demodulation,[status(thm)],[f9988,f2365]) ).
thf(f9988,plain,
( ( ( sK2 @ $true )
!= ( sK8 @ $true ) )
| ( sK121 = $false )
| spl0_61 ),
inference(fool_paramodulation,[status(thm)],[f9795]) ).
thf(f10001,plain,
( ~ spl0_234
| ~ spl0_235
| spl0_61
| ~ spl0_87 ),
inference(avatar_split_clause,[status(thm)],[f9992,f853,f570,f9998,f9994]) ).
thf(f9992,plain,
( ( sK121 != $false )
| ( $true
!= ( sK2 @ sK121 ) )
| spl0_61
| ~ spl0_87 ),
inference(constrained_superposition,[status(thm)],[f9795,f855]) ).
thf(f9675,plain,
( ~ spl0_41
| ~ spl0_44
| ~ spl0_48
| ~ spl0_53 ),
inference(avatar_contradiction_clause,[status(thm)],[f9674]) ).
thf(f9674,plain,
( $false
| ~ spl0_41
| ~ spl0_44
| ~ spl0_48
| ~ spl0_53 ),
inference(subsumption_resolution,[status(thm)],[f9673,f433]) ).
thf(f9673,plain,
( ( ( sK6 @ sK120 )
!= $false )
| ~ spl0_44
| ~ spl0_48
| ~ spl0_53 ),
inference(forward_demodulation,[status(thm)],[f9668,f487]) ).
thf(f9668,plain,
( ( ( sK6 @ sK120 )
!= ( sK7 @ sK120 ) )
| ~ spl0_44
| ~ spl0_53 ),
inference(negative_extensionality,[status(thm)],[f9658]) ).
thf(f9658,plain,
( ( sK6 != sK7 )
| ~ spl0_44
| ~ spl0_53 ),
inference(trivial_inequality_removal,[status(thm)],[f9654]) ).
thf(f9654,plain,
( ( $true = $false )
| ( sK6 != sK7 )
| ~ spl0_44
| ~ spl0_53 ),
inference(constrained_superposition,[status(thm)],[f448,f509]) ).
thf(f9472,plain,
( ~ spl0_48
| ~ spl0_51
| spl0_55
| ~ spl0_59 ),
inference(avatar_contradiction_clause,[status(thm)],[f9471]) ).
thf(f9471,plain,
( $false
| ~ spl0_48
| ~ spl0_51
| spl0_55
| ~ spl0_59 ),
inference(subsumption_resolution,[status(thm)],[f9470,f487]) ).
thf(f9470,plain,
( ( ( sK7 @ sK119 )
!= $false )
| ~ spl0_51
| spl0_55
| ~ spl0_59 ),
inference(forward_demodulation,[status(thm)],[f9466,f563]) ).
thf(f9466,plain,
( ( ( sK7 @ sK119 )
!= ( sK8 @ sK119 ) )
| ~ spl0_51
| spl0_55 ),
inference(negative_extensionality,[status(thm)],[f9465]) ).
thf(f9465,plain,
( ( sK8 != sK7 )
| ~ spl0_51
| spl0_55 ),
inference(trivial_inequality_removal,[status(thm)],[f9463]) ).
thf(f9463,plain,
( ( sK8 != sK7 )
| ( $false != $false )
| ~ spl0_51
| spl0_55 ),
inference(constrained_superposition,[status(thm)],[f544,f501]) ).
thf(f9341,plain,
( ~ spl0_68
| ~ spl0_83
| spl0_179 ),
inference(avatar_contradiction_clause,[status(thm)],[f9340]) ).
thf(f9340,plain,
( $false
| ~ spl0_68
| ~ spl0_83
| spl0_179 ),
inference(subsumption_resolution,[status(thm)],[f9339,f626]) ).
thf(f626,plain,
( ! [X1: $o] :
( ( sK9 @ X1 )
= $false )
| ~ spl0_68 ),
inference(avatar_component_clause,[status(thm)],[f625]) ).
thf(f9339,plain,
( ( ( sK9 @ sK117 )
!= $false )
| ~ spl0_83
| spl0_179 ),
inference(forward_demodulation,[status(thm)],[f9335,f740]) ).
thf(f740,plain,
( ! [X1: $o] :
( $false
= ( sK11 @ X1 ) )
| ~ spl0_83 ),
inference(avatar_component_clause,[status(thm)],[f739]) ).
thf(f9335,plain,
( ( ( sK9 @ sK117 )
!= ( sK11 @ sK117 ) )
| spl0_179 ),
inference(negative_extensionality,[status(thm)],[f2993]) ).
thf(f9222,plain,
( ~ spl0_59
| ~ spl0_199 ),
inference(avatar_contradiction_clause,[status(thm)],[f9221]) ).
thf(f9221,plain,
( $false
| ~ spl0_59
| ~ spl0_199 ),
inference(trivial_inequality_removal,[status(thm)],[f9220]) ).
thf(f9220,plain,
( ( $true = $false )
| ~ spl0_59
| ~ spl0_199 ),
inference(forward_demodulation,[status(thm)],[f4012,f563]) ).
thf(f4012,plain,
( ( $true
= ( sK8 @ sK70 ) )
| ~ spl0_199 ),
inference(avatar_component_clause,[status(thm)],[f4010]) ).
thf(f4010,definition,
( spl0_199
<=> ( $true
= ( sK8 @ sK70 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_199])],[avatar_definition]) ).
thf(f9215,plain,
( ~ spl0_41
| ~ spl0_185 ),
inference(avatar_contradiction_clause,[status(thm)],[f9214]) ).
thf(f9214,plain,
( $false
| ~ spl0_41
| ~ spl0_185 ),
inference(trivial_inequality_removal,[status(thm)],[f9213]) ).
thf(f9213,plain,
( ( $true = $false )
| ~ spl0_41
| ~ spl0_185 ),
inference(forward_demodulation,[status(thm)],[f3715,f433]) ).
thf(f3715,plain,
( ( $true
= ( sK6 @ sK66 ) )
| ~ spl0_185 ),
inference(avatar_component_clause,[status(thm)],[f3713]) ).
thf(f3713,definition,
( spl0_185
<=> ( $true
= ( sK6 @ sK66 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_185])],[avatar_definition]) ).
thf(f9189,plain,
( ~ spl0_48
| ~ spl0_186 ),
inference(avatar_contradiction_clause,[status(thm)],[f9188]) ).
thf(f9188,plain,
( $false
| ~ spl0_48
| ~ spl0_186 ),
inference(trivial_inequality_removal,[status(thm)],[f9187]) ).
thf(f9187,plain,
( ( $true = $false )
| ~ spl0_48
| ~ spl0_186 ),
inference(forward_demodulation,[status(thm)],[f3719,f487]) ).
thf(f3719,plain,
( ( $true
= ( sK7 @ sK66 ) )
| ~ spl0_186 ),
inference(avatar_component_clause,[status(thm)],[f3717]) ).
thf(f9182,plain,
( spl0_133
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_split_clause,[status(thm)],[f9174,f205,f200,f1758]) ).
thf(f9174,plain,
( ( $true
= ( eps1 @ sK2 ) )
| ~ spl0_16
| ~ spl0_17 ),
inference(backward_demodulation,[status(thm)],[f202,f206]) ).
thf(f9173,plain,
( spl0_41
| ~ spl0_38
| spl0_92 ),
inference(avatar_split_clause,[status(thm)],[f9172,f1009,f419,f432]) ).
thf(f9172,plain,
( ! [X1: $o] :
( ( sK6 @ X1 )
= $false )
| ~ spl0_38
| spl0_92 ),
inference(subsumption_resolution,[status(thm)],[f9171,f1010]) ).
thf(f1010,plain,
( ( ( sK6 @ $false )
!= $true )
| spl0_92 ),
inference(avatar_component_clause,[status(thm)],[f1009]) ).
thf(f9171,plain,
( ! [X1: $o] :
( ( ( sK6 @ $false )
= $true )
| ( ( sK6 @ X1 )
= $false ) )
| ~ spl0_38 ),
inference(forward_demodulation,[status(thm)],[f6303,f421]) ).
thf(f6303,plain,
! [X1: $o] :
( ( $true
= ( sK6 @ ( eps3 @ sK6 ) ) )
| ( ( sK6 @ X1 )
= $false ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f9138,plain,
( ~ spl0_38
| ~ spl0_40
| spl0_92 ),
inference(avatar_contradiction_clause,[status(thm)],[f9137]) ).
thf(f9137,plain,
( $false
| ~ spl0_38
| ~ spl0_40
| spl0_92 ),
inference(subsumption_resolution,[status(thm)],[f9136,f1010]) ).
thf(f9136,plain,
( ( ( sK6 @ $false )
= $true )
| ~ spl0_38
| ~ spl0_40 ),
inference(forward_demodulation,[status(thm)],[f430,f421]) ).
thf(f430,plain,
( ( $true
= ( sK6 @ ( eps3 @ sK6 ) ) )
| ~ spl0_40 ),
inference(avatar_component_clause,[status(thm)],[f428]) ).
thf(f9121,plain,
( ~ spl0_53
| ~ spl0_51 ),
inference(avatar_split_clause,[status(thm)],[f9120,f499,f508]) ).
thf(f9120,plain,
( ( ( eps3 @ sK7 )
!= $false )
| ~ spl0_51 ),
inference(forward_demodulation,[status(thm)],[f82,f501]) ).
thf(f9081,plain,
( ~ spl0_7
| ~ spl0_26
| ~ spl0_52 ),
inference(avatar_contradiction_clause,[status(thm)],[f9080]) ).
thf(f9080,plain,
( $false
| ~ spl0_7
| ~ spl0_26
| ~ spl0_52 ),
inference(subsumption_resolution,[status(thm)],[f9079,f275]) ).
thf(f9079,plain,
( ( $true
!= ( eps3 @ sK2 ) )
| ~ spl0_7
| ~ spl0_52 ),
inference(forward_demodulation,[status(thm)],[f9078,f121]) ).
thf(f9078,plain,
( ( ( eps3 @ sK2 )
!= ( eps4 @ sK2 ) )
| ~ spl0_52 ),
inference(forward_demodulation,[status(thm)],[f82,f505]) ).
thf(f9072,plain,
( spl0_7
| ~ spl0_31
| ~ spl0_128 ),
inference(avatar_split_clause,[status(thm)],[f9071,f1721,f331,f119]) ).
thf(f9071,plain,
( ( $true
= ( eps4 @ sK2 ) )
| ~ spl0_31
| ~ spl0_128 ),
inference(forward_demodulation,[status(thm)],[f333,f1722]) ).
thf(f9026,plain,
( ~ spl0_59
| ~ spl0_193 ),
inference(avatar_contradiction_clause,[status(thm)],[f9025]) ).
thf(f9025,plain,
( $false
| ~ spl0_59
| ~ spl0_193 ),
inference(trivial_inequality_removal,[status(thm)],[f9024]) ).
thf(f9024,plain,
( ( $true = $false )
| ~ spl0_59
| ~ spl0_193 ),
inference(forward_demodulation,[status(thm)],[f3891,f563]) ).
thf(f3891,plain,
( ( $true
= ( sK8 @ sK69 ) )
| ~ spl0_193 ),
inference(avatar_component_clause,[status(thm)],[f3889]) ).
thf(f3889,definition,
( spl0_193
<=> ( $true
= ( sK8 @ sK69 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_193])],[avatar_definition]) ).
thf(f8933,plain,
( ~ spl0_129
| ~ spl0_23
| spl0_66 ),
inference(avatar_split_clause,[status(thm)],[f8932,f615,f257,f1725]) ).
thf(f8932,plain,
( ( sK9 != sK2 )
| ~ spl0_23
| spl0_66 ),
inference(forward_demodulation,[status(thm)],[f617,f258]) ).
thf(f617,plain,
( ( sK9 != sK3 )
| spl0_66 ),
inference(avatar_component_clause,[status(thm)],[f615]) ).
thf(f8919,plain,
( ~ spl0_57
| ~ spl0_59
| ~ spl0_83
| ~ spl0_84 ),
inference(avatar_contradiction_clause,[status(thm)],[f8918]) ).
thf(f8918,plain,
( $false
| ~ spl0_57
| ~ spl0_59
| ~ spl0_83
| ~ spl0_84 ),
inference(subsumption_resolution,[status(thm)],[f8917,f563]) ).
thf(f8917,plain,
( ( ( sK8 @ sK113 )
!= $false )
| ~ spl0_57
| ~ spl0_83
| ~ spl0_84 ),
inference(forward_demodulation,[status(thm)],[f8911,f740]) ).
thf(f8911,plain,
( ( ( sK8 @ sK113 )
!= ( sK11 @ sK113 ) )
| ~ spl0_57
| ~ spl0_84 ),
inference(negative_extensionality,[status(thm)],[f8910]) ).
thf(f8910,plain,
( ( sK11 != sK8 )
| ~ spl0_57
| ~ spl0_84 ),
inference(trivial_inequality_removal,[status(thm)],[f8905]) ).
thf(f8905,plain,
( ( $true = $false )
| ( sK11 != sK8 )
| ~ spl0_57
| ~ spl0_84 ),
inference(constrained_superposition,[status(thm)],[f553,f745]) ).
thf(f8748,plain,
( ~ spl0_213
| ~ spl0_28
| spl0_108 ),
inference(avatar_split_clause,[status(thm)],[f8747,f1302,f307,f5514]) ).
thf(f307,definition,
( spl0_28
<=> ( sK14 = $false ) ),
introduced(definition,[new_symbols(naming,[spl0_28])],[avatar_definition]) ).
thf(f1302,definition,
( spl0_108
<=> ( $true
= ( sK4 @ sK14 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_108])],[avatar_definition]) ).
thf(f8747,plain,
( ( $true
!= ( sK4 @ $false ) )
| ~ spl0_28
| spl0_108 ),
inference(forward_demodulation,[status(thm)],[f1303,f309]) ).
thf(f309,plain,
( ( sK14 = $false )
| ~ spl0_28 ),
inference(avatar_component_clause,[status(thm)],[f307]) ).
thf(f1303,plain,
( ( $true
!= ( sK4 @ sK14 ) )
| spl0_108 ),
inference(avatar_component_clause,[status(thm)],[f1302]) ).
thf(f8723,plain,
( spl0_18
| spl0_213
| ~ spl0_21 ),
inference(avatar_split_clause,[status(thm)],[f8722,f222,f5514,f210]) ).
thf(f8722,plain,
( ! [X1: $o] :
( ( ( sK4 @ X1 )
= $false )
| ( $true
= ( sK4 @ $false ) ) )
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f766,f224]) ).
thf(f766,plain,
! [X1: $o] :
( ( $true
= ( sK4 @ ( eps1 @ sK4 ) ) )
| ( ( sK4 @ X1 )
= $false ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f8711,plain,
( ~ spl0_18
| ~ spl0_21
| ~ spl0_57
| ~ spl0_59 ),
inference(avatar_contradiction_clause,[status(thm)],[f8710]) ).
thf(f8710,plain,
( $false
| ~ spl0_18
| ~ spl0_21
| ~ spl0_57
| ~ spl0_59 ),
inference(subsumption_resolution,[status(thm)],[f8709,f563]) ).
thf(f8709,plain,
( ( ( sK8 @ sK112 )
!= $false )
| ~ spl0_18
| ~ spl0_21
| ~ spl0_57 ),
inference(forward_demodulation,[status(thm)],[f8704,f211]) ).
thf(f8704,plain,
( ( ( sK8 @ sK112 )
!= ( sK4 @ sK112 ) )
| ~ spl0_21
| ~ spl0_57 ),
inference(negative_extensionality,[status(thm)],[f8703]) ).
thf(f8703,plain,
( ( sK4 != sK8 )
| ~ spl0_21
| ~ spl0_57 ),
inference(trivial_inequality_removal,[status(thm)],[f8698]) ).
thf(f8698,plain,
( ( sK4 != sK8 )
| ( $true = $false )
| ~ spl0_21
| ~ spl0_57 ),
inference(constrained_superposition,[status(thm)],[f553,f224]) ).
thf(f8663,plain,
( ~ spl0_34
| spl0_35
| ~ spl0_79
| ~ spl0_83 ),
inference(avatar_contradiction_clause,[status(thm)],[f8662]) ).
thf(f8662,plain,
( $false
| ~ spl0_34
| spl0_35
| ~ spl0_79
| ~ spl0_83 ),
inference(subsumption_resolution,[status(thm)],[f8661,f345]) ).
thf(f8661,plain,
( ( ( sK5 @ sK111 )
!= $false )
| spl0_35
| ~ spl0_79
| ~ spl0_83 ),
inference(forward_demodulation,[status(thm)],[f8656,f740]) ).
thf(f8656,plain,
( ( ( sK5 @ sK111 )
!= ( sK11 @ sK111 ) )
| spl0_35
| ~ spl0_79 ),
inference(negative_extensionality,[status(thm)],[f8655]) ).
thf(f8655,plain,
( ( sK11 != sK5 )
| spl0_35
| ~ spl0_79 ),
inference(trivial_inequality_removal,[status(thm)],[f8650]) ).
thf(f8650,plain,
( ( $false != $false )
| ( sK11 != sK5 )
| spl0_35
| ~ spl0_79 ),
inference(constrained_superposition,[status(thm)],[f349,f723]) ).
thf(f8339,plain,
( ~ spl0_132
| ~ spl0_23
| spl0_85 ),
inference(avatar_split_clause,[status(thm)],[f8338,f748,f257,f1742]) ).
thf(f8338,plain,
( ( sK11 != sK2 )
| ~ spl0_23
| spl0_85 ),
inference(forward_demodulation,[status(thm)],[f750,f258]) ).
thf(f750,plain,
( ( sK11 != sK3 )
| spl0_85 ),
inference(avatar_component_clause,[status(thm)],[f748]) ).
thf(f8301,plain,
( ~ spl0_41
| ~ spl0_93 ),
inference(avatar_contradiction_clause,[status(thm)],[f8300]) ).
thf(f8300,plain,
( $false
| ~ spl0_41
| ~ spl0_93 ),
inference(trivial_inequality_removal,[status(thm)],[f8293]) ).
thf(f8293,plain,
( ( $true = $false )
| ~ spl0_41
| ~ spl0_93 ),
inference(backward_demodulation,[status(thm)],[f1019,f433]) ).
thf(f8299,plain,
( ~ spl0_41
| ~ spl0_156 ),
inference(avatar_contradiction_clause,[status(thm)],[f8298]) ).
thf(f8298,plain,
( $false
| ~ spl0_41
| ~ spl0_156 ),
inference(trivial_inequality_removal,[status(thm)],[f8294]) ).
thf(f8294,plain,
( ( $true = $false )
| ~ spl0_41
| ~ spl0_156 ),
inference(backward_demodulation,[status(thm)],[f2337,f433]) ).
thf(f2337,plain,
( ( $true
= ( sK6 @ sK25 ) )
| ~ spl0_156 ),
inference(avatar_component_clause,[status(thm)],[f2335]) ).
thf(f2335,definition,
( spl0_156
<=> ( $true
= ( sK6 @ sK25 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_156])],[avatar_definition]) ).
thf(f8297,plain,
( ~ spl0_41
| ~ spl0_197 ),
inference(avatar_contradiction_clause,[status(thm)],[f8296]) ).
thf(f8296,plain,
( $false
| ~ spl0_41
| ~ spl0_197 ),
inference(trivial_inequality_removal,[status(thm)],[f8295]) ).
thf(f8295,plain,
( ( $true = $false )
| ~ spl0_41
| ~ spl0_197 ),
inference(backward_demodulation,[status(thm)],[f4002,f433]) ).
thf(f4002,plain,
( ( $true
= ( sK6 @ sK70 ) )
| ~ spl0_197 ),
inference(avatar_component_clause,[status(thm)],[f4001]) ).
thf(f4001,definition,
( spl0_197
<=> ( $true
= ( sK6 @ sK70 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_197])],[avatar_definition]) ).
thf(f8121,plain,
( ~ spl0_81
| ~ spl0_86
| ~ spl0_114 ),
inference(avatar_contradiction_clause,[status(thm)],[f8120]) ).
thf(f8120,plain,
( $false
| ~ spl0_81
| ~ spl0_86
| ~ spl0_114 ),
inference(trivial_inequality_removal,[status(thm)],[f8119]) ).
thf(f8119,plain,
( ( $true = $false )
| ~ spl0_81
| ~ spl0_86
| ~ spl0_114 ),
inference(forward_demodulation,[status(thm)],[f8118,f1466]) ).
thf(f1466,plain,
( ( ( sK11 @ $true )
= $false )
| ~ spl0_114 ),
inference(avatar_component_clause,[status(thm)],[f1465]) ).
thf(f8118,plain,
( ( $true
= ( sK11 @ $true ) )
| ~ spl0_81
| ~ spl0_86 ),
inference(backward_demodulation,[status(thm)],[f755,f732]) ).
thf(f8114,plain,
( ~ spl0_82
| ~ spl0_84
| spl0_111 ),
inference(avatar_contradiction_clause,[status(thm)],[f8113]) ).
thf(f8113,plain,
( $false
| ~ spl0_82
| ~ spl0_84
| spl0_111 ),
inference(subsumption_resolution,[status(thm)],[f8112,f1408]) ).
thf(f1408,plain,
( ( ( sK11 @ $false )
!= $true )
| spl0_111 ),
inference(avatar_component_clause,[status(thm)],[f1407]) ).
thf(f8112,plain,
( ( ( sK11 @ $false )
= $true )
| ~ spl0_82
| ~ spl0_84 ),
inference(backward_demodulation,[status(thm)],[f737,f745]) ).
thf(f8045,plain,
( ~ spl0_56
| ~ spl0_59
| ~ spl0_80
| ~ spl0_83 ),
inference(avatar_contradiction_clause,[status(thm)],[f8044]) ).
thf(f8044,plain,
( $false
| ~ spl0_56
| ~ spl0_59
| ~ spl0_80
| ~ spl0_83 ),
inference(subsumption_resolution,[status(thm)],[f8043,f563]) ).
thf(f8043,plain,
( ( $false
!= ( sK8 @ sK108 ) )
| ~ spl0_56
| ~ spl0_80
| ~ spl0_83 ),
inference(forward_demodulation,[status(thm)],[f8037,f740]) ).
thf(f8037,plain,
( ( ( sK8 @ sK108 )
!= ( sK11 @ sK108 ) )
| ~ spl0_56
| ~ spl0_80 ),
inference(negative_extensionality,[status(thm)],[f8025]) ).
thf(f8025,plain,
( ( sK11 != sK8 )
| ~ spl0_56
| ~ spl0_80 ),
inference(trivial_inequality_removal,[status(thm)],[f8023]) ).
thf(f8023,plain,
( ( $true = $false )
| ( sK11 != sK8 )
| ~ spl0_56
| ~ spl0_80 ),
inference(constrained_superposition,[status(thm)],[f549,f726]) ).
thf(f7963,plain,
( ~ spl0_29
| ~ spl0_34
| ~ spl0_58
| ~ spl0_59 ),
inference(avatar_contradiction_clause,[status(thm)],[f7962]) ).
thf(f7962,plain,
( $false
| ~ spl0_29
| ~ spl0_34
| ~ spl0_58
| ~ spl0_59 ),
inference(subsumption_resolution,[status(thm)],[f7961,f345]) ).
thf(f7961,plain,
( ( ( sK5 @ sK107 )
!= $false )
| ~ spl0_29
| ~ spl0_58
| ~ spl0_59 ),
inference(forward_demodulation,[status(thm)],[f7955,f563]) ).
thf(f7955,plain,
( ( ( sK5 @ sK107 )
!= ( sK8 @ sK107 ) )
| ~ spl0_29
| ~ spl0_58 ),
inference(negative_extensionality,[status(thm)],[f7953]) ).
thf(f7953,plain,
( ( sK8 != sK5 )
| ~ spl0_29
| ~ spl0_58 ),
inference(trivial_inequality_removal,[status(thm)],[f7948]) ).
thf(f7948,plain,
( ( sK8 != sK5 )
| ( $true = $false )
| ~ spl0_29
| ~ spl0_58 ),
inference(constrained_superposition,[status(thm)],[f323,f559]) ).
thf(f7641,plain,
( spl0_2
| spl0_180
| ~ spl0_6 ),
inference(avatar_split_clause,[status(thm)],[f7622,f115,f3060,f97]) ).
thf(f7622,plain,
( ! [X1: $o] :
( ( ( sK2 @ X1 )
= $false )
| ( $true
= ( sK2 @ $true ) ) )
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f4369,f117]) ).
thf(f4369,plain,
! [X1: $o] :
( ( ( sK2 @ X1 )
= $false )
| ( $true
= ( sK2 @ ( eps2 @ sK2 ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f7570,plain,
( ~ spl0_27
| ~ spl0_180 ),
inference(avatar_contradiction_clause,[status(thm)],[f7569]) ).
thf(f7569,plain,
( $false
| ~ spl0_27
| ~ spl0_180 ),
inference(trivial_inequality_removal,[status(thm)],[f7568]) ).
thf(f7568,plain,
( ( $true = $false )
| ~ spl0_27
| ~ spl0_180 ),
inference(backward_demodulation,[status(thm)],[f3062,f304]) ).
thf(f304,plain,
( ( ( sK2 @ $true )
= $false )
| ~ spl0_27 ),
inference(avatar_component_clause,[status(thm)],[f303]) ).
thf(f303,definition,
( spl0_27
<=> ( ( sK2 @ $true )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_27])],[avatar_definition]) ).
thf(f7523,plain,
( ~ spl0_2
| ~ spl0_59
| spl0_61 ),
inference(avatar_contradiction_clause,[status(thm)],[f7522]) ).
thf(f7522,plain,
( $false
| ~ spl0_2
| ~ spl0_59
| spl0_61 ),
inference(trivial_inequality_removal,[status(thm)],[f7521]) ).
thf(f7521,plain,
( ( $false != $false )
| ~ spl0_2
| ~ spl0_59
| spl0_61 ),
inference(superposition,[status(thm)],[f5769,f563]) ).
thf(f5769,plain,
( ( ( sK8 @ sK89 )
!= $false )
| ~ spl0_2
| spl0_61 ),
inference(forward_demodulation,[status(thm)],[f5765,f98]) ).
thf(f5765,plain,
( ( ( sK2 @ sK89 )
!= ( sK8 @ sK89 ) )
| spl0_61 ),
inference(negative_extensionality,[status(thm)],[f572]) ).
thf(f7471,plain,
( ~ spl0_233
| ~ spl0_226
| spl0_232 ),
inference(avatar_split_clause,[status(thm)],[f7424,f7311,f7278,f7396]) ).
thf(f7424,plain,
( ( $true
!= ( sK7 @ $false ) )
| ~ spl0_226
| spl0_232 ),
inference(forward_demodulation,[status(thm)],[f7312,f7279]) ).
thf(f7279,plain,
( ( sK68 = $false )
| ~ spl0_226 ),
inference(avatar_component_clause,[status(thm)],[f7278]) ).
thf(f7312,plain,
( ( $true
!= ( sK7 @ sK68 ) )
| spl0_232 ),
inference(avatar_component_clause,[status(thm)],[f7311]) ).
thf(f7463,plain,
( spl0_184
| ~ spl0_146
| ~ spl0_212 ),
inference(avatar_split_clause,[status(thm)],[f7462,f5250,f1983,f3579]) ).
thf(f7462,plain,
( ( sK3 = sK7 )
| ~ spl0_146
| ~ spl0_212 ),
inference(forward_demodulation,[status(thm)],[f5251,f1984]) ).
thf(f7459,plain,
( ~ spl0_134
| ~ spl0_132
| ~ spl0_133 ),
inference(avatar_split_clause,[status(thm)],[f7458,f1758,f1742,f1766]) ).
thf(f7458,plain,
( ( ( eps5 @ sK2 )
!= $true )
| ~ spl0_132
| ~ spl0_133 ),
inference(forward_demodulation,[status(thm)],[f6152,f1760]) ).
thf(f6152,plain,
( ( ( eps5 @ sK2 )
!= ( eps1 @ sK2 ) )
| ~ spl0_132 ),
inference(forward_demodulation,[status(thm)],[f86,f1743]) ).
thf(f7454,plain,
( spl0_34
| ~ spl0_29
| spl0_101 ),
inference(avatar_split_clause,[status(thm)],[f7453,f1229,f322,f344]) ).
thf(f7453,plain,
( ! [X1: $o] :
( $false
= ( sK5 @ X1 ) )
| ~ spl0_29
| spl0_101 ),
inference(subsumption_resolution,[status(thm)],[f7452,f1230]) ).
thf(f1230,plain,
( ( $true
!= ( sK5 @ $false ) )
| spl0_101 ),
inference(avatar_component_clause,[status(thm)],[f1229]) ).
thf(f7452,plain,
( ! [X1: $o] :
( ( $false
= ( sK5 @ X1 ) )
| ( $true
= ( sK5 @ $false ) ) )
| ~ spl0_29 ),
inference(forward_demodulation,[status(thm)],[f1633,f323]) ).
thf(f7451,plain,
( spl0_34
| spl0_121
| ~ spl0_32 ),
inference(avatar_split_clause,[status(thm)],[f7450,f335,f1531,f344]) ).
thf(f7450,plain,
( ! [X1: $o] :
( ( $true
= ( sK5 @ $true ) )
| ( $false
= ( sK5 @ X1 ) ) )
| ~ spl0_32 ),
inference(forward_demodulation,[status(thm)],[f4714,f337]) ).
thf(f4714,plain,
! [X1: $o] :
( ( ( sK5 @ ( eps5 @ sK5 ) )
= $true )
| ( $false
= ( sK5 @ X1 ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f7428,plain,
( ~ spl0_226
| ~ spl0_230
| ~ spl0_233 ),
inference(avatar_contradiction_clause,[status(thm)],[f7427]) ).
thf(f7427,plain,
( $false
| ~ spl0_226
| ~ spl0_230
| ~ spl0_233 ),
inference(trivial_inequality_removal,[status(thm)],[f7426]) ).
thf(f7426,plain,
( ( $true = $false )
| ~ spl0_226
| ~ spl0_230
| ~ spl0_233 ),
inference(forward_demodulation,[status(thm)],[f7398,f7419]) ).
thf(f7419,plain,
( ( ( sK7 @ $false )
= $false )
| ~ spl0_226
| ~ spl0_230 ),
inference(backward_demodulation,[status(thm)],[f7299,f7279]) ).
thf(f7299,plain,
( ( ( sK7 @ sK68 )
= $false )
| ~ spl0_230 ),
inference(avatar_component_clause,[status(thm)],[f7297]) ).
thf(f7297,definition,
( spl0_230
<=> ( ( sK7 @ sK68 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_230])],[avatar_definition]) ).
thf(f7414,plain,
( ~ spl0_230
| ~ spl0_232 ),
inference(avatar_contradiction_clause,[status(thm)],[f7413]) ).
thf(f7413,plain,
( $false
| ~ spl0_230
| ~ spl0_232 ),
inference(trivial_inequality_removal,[status(thm)],[f7412]) ).
thf(f7412,plain,
( ( $true = $false )
| ~ spl0_230
| ~ spl0_232 ),
inference(backward_demodulation,[status(thm)],[f7313,f7299]) ).
thf(f7411,plain,
( spl0_233
| ~ spl0_47
| ~ spl0_51 ),
inference(avatar_split_clause,[status(thm)],[f7410,f499,f482,f7396]) ).
thf(f7410,plain,
( ( $true
= ( sK7 @ $false ) )
| ~ spl0_47
| ~ spl0_51 ),
inference(forward_demodulation,[status(thm)],[f484,f501]) ).
thf(f484,plain,
( ( $true
= ( sK7 @ ( eps4 @ sK7 ) ) )
| ~ spl0_47 ),
inference(avatar_component_clause,[status(thm)],[f482]) ).
thf(f7390,plain,
( ~ spl0_30
| ~ spl0_31
| ~ spl0_147 ),
inference(avatar_contradiction_clause,[status(thm)],[f7389]) ).
thf(f7389,plain,
( $false
| ~ spl0_30
| ~ spl0_31
| ~ spl0_147 ),
inference(trivial_inequality_removal,[status(thm)],[f7388]) ).
thf(f7388,plain,
( ( $true = $false )
| ~ spl0_30
| ~ spl0_31
| ~ spl0_147 ),
inference(backward_demodulation,[status(thm)],[f5591,f2002]) ).
thf(f5591,plain,
( ( $true
= ( eps4 @ sK3 ) )
| ~ spl0_30
| ~ spl0_31 ),
inference(forward_demodulation,[status(thm)],[f333,f327]) ).
thf(f7363,plain,
( ~ spl0_51
| spl0_147
| ~ spl0_184 ),
inference(avatar_contradiction_clause,[status(thm)],[f7362]) ).
thf(f7362,plain,
( $false
| ~ spl0_51
| spl0_147
| ~ spl0_184 ),
inference(subsumption_resolution,[status(thm)],[f7360,f2001]) ).
thf(f2001,plain,
( ( ( eps4 @ sK3 )
!= $false )
| spl0_147 ),
inference(avatar_component_clause,[status(thm)],[f2000]) ).
thf(f7360,plain,
( ( ( eps4 @ sK3 )
= $false )
| ~ spl0_51
| ~ spl0_184 ),
inference(backward_demodulation,[status(thm)],[f501,f3580]) ).
thf(f7350,plain,
( ~ spl0_59
| ~ spl0_158 ),
inference(avatar_contradiction_clause,[status(thm)],[f7349]) ).
thf(f7349,plain,
( $false
| ~ spl0_59
| ~ spl0_158 ),
inference(trivial_inequality_removal,[status(thm)],[f7344]) ).
thf(f7344,plain,
( ( $true = $false )
| ~ spl0_59
| ~ spl0_158 ),
inference(backward_demodulation,[status(thm)],[f2365,f563]) ).
thf(f7348,plain,
( ~ spl0_59
| ~ spl0_157 ),
inference(avatar_contradiction_clause,[status(thm)],[f7347]) ).
thf(f7347,plain,
( $false
| ~ spl0_59
| ~ spl0_157 ),
inference(trivial_inequality_removal,[status(thm)],[f7345]) ).
thf(f7345,plain,
( ( $true = $false )
| ~ spl0_59
| ~ spl0_157 ),
inference(backward_demodulation,[status(thm)],[f2341,f563]) ).
thf(f2341,plain,
( ( $true
= ( sK8 @ sK25 ) )
| ~ spl0_157 ),
inference(avatar_component_clause,[status(thm)],[f2339]) ).
thf(f2339,definition,
( spl0_157
<=> ( $true
= ( sK8 @ sK25 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_157])],[avatar_definition]) ).
thf(f7339,plain,
( ~ spl0_37
| spl0_225
| ~ spl0_226 ),
inference(avatar_contradiction_clause,[status(thm)],[f7338]) ).
thf(f7338,plain,
( $false
| ~ spl0_37
| spl0_225
| ~ spl0_226 ),
inference(subsumption_resolution,[status(thm)],[f7337,f375]) ).
thf(f7337,plain,
( ( ( sK3 @ $false )
!= $true )
| spl0_225
| ~ spl0_226 ),
inference(forward_demodulation,[status(thm)],[f7276,f7279]) ).
thf(f7325,plain,
( ~ spl0_184
| ~ spl0_9
| ~ spl0_53 ),
inference(avatar_split_clause,[status(thm)],[f6798,f508,f146,f3579]) ).
thf(f6798,plain,
( ( sK3 != sK7 )
| ~ spl0_9
| ~ spl0_53 ),
inference(trivial_inequality_removal,[status(thm)],[f6786]) ).
thf(f6786,plain,
( ( $true = $false )
| ( sK3 != sK7 )
| ~ spl0_9
| ~ spl0_53 ),
inference(constrained_superposition,[status(thm)],[f148,f509]) ).
thf(f7315,plain,
( ~ spl0_184
| ~ spl0_44
| ~ spl0_53
| ~ spl0_142 ),
inference(avatar_split_clause,[status(thm)],[f6860,f1961,f508,f446,f3579]) ).
thf(f6860,plain,
( ( sK3 != sK7 )
| ~ spl0_44
| ~ spl0_53
| ~ spl0_142 ),
inference(backward_demodulation,[status(thm)],[f6797,f1962]) ).
thf(f6797,plain,
( ( sK6 != sK7 )
| ~ spl0_44
| ~ spl0_53 ),
inference(trivial_inequality_removal,[status(thm)],[f6791]) ).
thf(f6791,plain,
( ( $true = $false )
| ( sK6 != sK7 )
| ~ spl0_44
| ~ spl0_53 ),
inference(constrained_superposition,[status(thm)],[f448,f509]) ).
thf(f7314,plain,
( spl0_232
| spl0_225
| spl0_184 ),
inference(avatar_split_clause,[status(thm)],[f7265,f3579,f7274,f7311]) ).
thf(f7265,plain,
( ( $true
= ( sK7 @ sK68 ) )
| ( $true
= ( sK3 @ sK68 ) )
| spl0_184 ),
inference(binary_proxy_clausification,[status(thm)],[f3584]) ).
thf(f3584,plain,
( ( ( sK7 @ sK68 )
!= ( sK3 @ sK68 ) )
| spl0_184 ),
inference(negative_extensionality,[status(thm)],[f3581]) ).
thf(f7304,plain,
( spl0_230
| ~ spl0_225
| spl0_184 ),
inference(avatar_split_clause,[status(thm)],[f7268,f3579,f7274,f7297]) ).
thf(f7268,plain,
( ( $true
!= ( sK3 @ sK68 ) )
| ( ( sK7 @ sK68 )
= $false )
| spl0_184 ),
inference(fool_paramodulation,[status(thm)],[f3584]) ).
thf(f7303,plain,
( spl0_226
| ~ spl0_9
| ~ spl0_12
| ~ spl0_120
| spl0_184 ),
inference(avatar_split_clause,[status(thm)],[f7302,f3579,f1517,f159,f146,f7278]) ).
thf(f7302,plain,
( ( sK68 = $false )
| ~ spl0_9
| ~ spl0_12
| ~ spl0_120
| spl0_184 ),
inference(subsumption_resolution,[status(thm)],[f7301,f406]) ).
thf(f7301,plain,
( ( sK68 = $false )
| ( $true
!= ( sK3 @ $true ) )
| ~ spl0_120
| spl0_184 ),
inference(forward_demodulation,[status(thm)],[f7267,f1519]) ).
thf(f7267,plain,
( ( ( sK3 @ $true )
!= ( sK7 @ $true ) )
| ( sK68 = $false )
| spl0_184 ),
inference(fool_paramodulation,[status(thm)],[f3584]) ).
thf(f7291,plain,
( ~ spl0_225
| ~ spl0_228
| ~ spl0_120
| spl0_184 ),
inference(avatar_split_clause,[status(thm)],[f7272,f3579,f1517,f7288,f7274]) ).
thf(f7272,plain,
( ( sK68 != $true )
| ( $true
!= ( sK3 @ sK68 ) )
| ~ spl0_120
| spl0_184 ),
inference(constrained_superposition,[status(thm)],[f3584,f1519]) ).
thf(f7286,plain,
( ~ spl0_227
| ~ spl0_225
| spl0_184
| ~ spl0_186 ),
inference(avatar_split_clause,[status(thm)],[f7270,f3717,f3579,f7274,f7283]) ).
thf(f7270,plain,
( ( $true
!= ( sK3 @ sK68 ) )
| ( sK68 != sK66 )
| spl0_184
| ~ spl0_186 ),
inference(constrained_superposition,[status(thm)],[f3584,f3719]) ).
thf(f7033,plain,
( ~ spl0_37
| ~ spl0_153
| spl0_219 ),
inference(avatar_contradiction_clause,[status(thm)],[f7032]) ).
thf(f7032,plain,
( $false
| ~ spl0_37
| ~ spl0_153
| spl0_219 ),
inference(subsumption_resolution,[status(thm)],[f7031,f375]) ).
thf(f7031,plain,
( ( ( sK3 @ $false )
!= $true )
| ~ spl0_153
| spl0_219 ),
inference(forward_demodulation,[status(thm)],[f6959,f2178]) ).
thf(f2178,plain,
( ( $false = sK51 )
| ~ spl0_153 ),
inference(avatar_component_clause,[status(thm)],[f2176]) ).
thf(f2176,definition,
( spl0_153
<=> ( $false = sK51 ) ),
introduced(definition,[new_symbols(naming,[spl0_153])],[avatar_definition]) ).
thf(f6959,plain,
( ( $true
!= ( sK3 @ sK51 ) )
| spl0_219 ),
inference(avatar_component_clause,[status(thm)],[f6957]) ).
thf(f6957,definition,
( spl0_219
<=> ( $true
= ( sK3 @ sK51 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_219])],[avatar_definition]) ).
thf(f6979,plain,
( spl0_153
| ~ spl0_9
| ~ spl0_12
| ~ spl0_94
| spl0_146 ),
inference(avatar_split_clause,[status(thm)],[f6978,f1983,f1037,f159,f146,f2176]) ).
thf(f6978,plain,
( ( $false = sK51 )
| ~ spl0_9
| ~ spl0_12
| ~ spl0_94
| spl0_146 ),
inference(subsumption_resolution,[status(thm)],[f6977,f406]) ).
thf(f6977,plain,
( ( $false = sK51 )
| ( $true
!= ( sK3 @ $true ) )
| ~ spl0_94
| spl0_146 ),
inference(forward_demodulation,[status(thm)],[f6948,f1039]) ).
thf(f6948,plain,
( ( ( sK3 @ $true )
!= ( sK4 @ $true ) )
| ( $false = sK51 )
| spl0_146 ),
inference(fool_paramodulation,[status(thm)],[f2045]) ).
thf(f2045,plain,
( ( ( sK4 @ sK51 )
!= ( sK3 @ sK51 ) )
| spl0_146 ),
inference(negative_extensionality,[status(thm)],[f1985]) ).
thf(f6976,plain,
( ~ spl0_153
| ~ spl0_219
| spl0_146
| ~ spl0_213 ),
inference(avatar_split_clause,[status(thm)],[f6950,f5514,f1983,f6957,f2176]) ).
thf(f6950,plain,
( ( $false != sK51 )
| ( $true
!= ( sK3 @ sK51 ) )
| spl0_146
| ~ spl0_213 ),
inference(constrained_superposition,[status(thm)],[f2045,f5516]) ).
thf(f6864,plain,
( ~ spl0_39
| ~ spl0_142
| spl0_145 ),
inference(avatar_contradiction_clause,[status(thm)],[f6863]) ).
thf(f6863,plain,
( $false
| ~ spl0_39
| ~ spl0_142
| spl0_145 ),
inference(subsumption_resolution,[status(thm)],[f6626,f1962]) ).
thf(f6626,plain,
( ( sK3 != sK6 )
| ~ spl0_39
| spl0_145 ),
inference(trivial_inequality_removal,[status(thm)],[f6623]) ).
thf(f6623,plain,
( ( $false != $false )
| ( sK3 != sK6 )
| ~ spl0_39
| spl0_145 ),
inference(constrained_superposition,[status(thm)],[f1979,f425]) ).
thf(f6862,plain,
( ~ spl0_39
| ~ spl0_142
| spl0_145 ),
inference(avatar_contradiction_clause,[status(thm)],[f6861]) ).
thf(f6861,plain,
( $false
| ~ spl0_39
| ~ spl0_142
| spl0_145 ),
inference(subsumption_resolution,[status(thm)],[f6857,f1979]) ).
thf(f6857,plain,
( ( $false
= ( eps1 @ sK3 ) )
| ~ spl0_39
| ~ spl0_142 ),
inference(backward_demodulation,[status(thm)],[f425,f1962]) ).
thf(f6854,plain,
( ~ spl0_142
| ~ spl0_39
| ~ spl0_144 ),
inference(avatar_split_clause,[status(thm)],[f6609,f1971,f423,f1961]) ).
thf(f6609,plain,
( ( sK3 != sK6 )
| ~ spl0_39
| ~ spl0_144 ),
inference(trivial_inequality_removal,[status(thm)],[f6606]) ).
thf(f6606,plain,
( ( sK3 != sK6 )
| ( $true = $false )
| ~ spl0_39
| ~ spl0_144 ),
inference(constrained_superposition,[status(thm)],[f425,f1973]) ).
thf(f6848,plain,
( ~ spl0_9
| ~ spl0_12
| ~ spl0_37
| ~ spl0_92
| ~ spl0_93
| spl0_142 ),
inference(avatar_contradiction_clause,[status(thm)],[f6847]) ).
thf(f6847,plain,
( $false
| ~ spl0_9
| ~ spl0_12
| ~ spl0_37
| ~ spl0_92
| ~ spl0_93
| spl0_142 ),
inference(subsumption_resolution,[status(thm)],[f6846,f375]) ).
thf(f6846,plain,
( ( ( sK3 @ $false )
!= $true )
| ~ spl0_9
| ~ spl0_12
| ~ spl0_92
| ~ spl0_93
| spl0_142 ),
inference(forward_demodulation,[status(thm)],[f6845,f6826]) ).
thf(f6826,plain,
( ( sK49 = $false )
| ~ spl0_9
| ~ spl0_12
| ~ spl0_93
| spl0_142 ),
inference(subsumption_resolution,[status(thm)],[f6825,f406]) ).
thf(f6825,plain,
( ( sK49 = $false )
| ( $true
!= ( sK3 @ $true ) )
| ~ spl0_93
| spl0_142 ),
inference(forward_demodulation,[status(thm)],[f6818,f1019]) ).
thf(f6818,plain,
( ( sK49 = $false )
| ( ( sK3 @ $true )
!= ( sK6 @ $true ) )
| spl0_142 ),
inference(fool_paramodulation,[status(thm)],[f2024]) ).
thf(f2024,plain,
( ( ( sK3 @ sK49 )
!= ( sK6 @ sK49 ) )
| spl0_142 ),
inference(negative_extensionality,[status(thm)],[f1963]) ).
thf(f6845,plain,
( ( $true
!= ( sK3 @ sK49 ) )
| ~ spl0_9
| ~ spl0_12
| ~ spl0_92
| ~ spl0_93
| spl0_142 ),
inference(subsumption_resolution,[status(thm)],[f6821,f6826]) ).
thf(f6821,plain,
( ( $true
!= ( sK3 @ sK49 ) )
| ( sK49 != $false )
| ~ spl0_92
| spl0_142 ),
inference(constrained_superposition,[status(thm)],[f2024,f1011]) ).
thf(f6713,plain,
( ~ spl0_47
| ~ spl0_51
| spl0_55
| ~ spl0_87
| ~ spl0_120
| ~ spl0_158 ),
inference(avatar_contradiction_clause,[status(thm)],[f6712]) ).
thf(f6712,plain,
( $false
| ~ spl0_47
| ~ spl0_51
| spl0_55
| ~ spl0_87
| ~ spl0_120
| ~ spl0_158 ),
inference(subsumption_resolution,[status(thm)],[f6711,f6080]) ).
thf(f6080,plain,
( ( $true
= ( sK7 @ $false ) )
| ~ spl0_47
| ~ spl0_51 ),
inference(backward_demodulation,[status(thm)],[f484,f501]) ).
thf(f6711,plain,
( ( $true
!= ( sK7 @ $false ) )
| ~ spl0_51
| spl0_55
| ~ spl0_87
| ~ spl0_120
| ~ spl0_158 ),
inference(forward_demodulation,[status(thm)],[f6710,f6698]) ).
thf(f6698,plain,
( ( $false = sK102 )
| ~ spl0_51
| spl0_55
| ~ spl0_120
| ~ spl0_158 ),
inference(subsumption_resolution,[status(thm)],[f6697,f1519]) ).
thf(f6697,plain,
( ( $false = sK102 )
| ( $true
!= ( sK7 @ $true ) )
| ~ spl0_51
| spl0_55
| ~ spl0_158 ),
inference(forward_demodulation,[status(thm)],[f6682,f2365]) ).
thf(f6682,plain,
( ( $false = sK102 )
| ( ( sK7 @ $true )
!= ( sK8 @ $true ) )
| ~ spl0_51
| spl0_55 ),
inference(fool_paramodulation,[status(thm)],[f6444]) ).
thf(f6444,plain,
( ( ( sK7 @ sK102 )
!= ( sK8 @ sK102 ) )
| ~ spl0_51
| spl0_55 ),
inference(negative_extensionality,[status(thm)],[f6438]) ).
thf(f6438,plain,
( ( sK8 != sK7 )
| ~ spl0_51
| spl0_55 ),
inference(trivial_inequality_removal,[status(thm)],[f6435]) ).
thf(f6435,plain,
( ( $false != $false )
| ( sK8 != sK7 )
| ~ spl0_51
| spl0_55 ),
inference(constrained_superposition,[status(thm)],[f544,f501]) ).
thf(f6710,plain,
( ( $true
!= ( sK7 @ sK102 ) )
| ~ spl0_51
| spl0_55
| ~ spl0_87
| ~ spl0_120
| ~ spl0_158 ),
inference(subsumption_resolution,[status(thm)],[f6687,f6698]) ).
thf(f6687,plain,
( ( $false != sK102 )
| ( $true
!= ( sK7 @ sK102 ) )
| ~ spl0_51
| spl0_55
| ~ spl0_87 ),
inference(constrained_superposition,[status(thm)],[f6444,f855]) ).
thf(f6379,plain,
( ~ spl0_120
| spl0_186
| spl0_189 ),
inference(avatar_contradiction_clause,[status(thm)],[f6378]) ).
thf(f6378,plain,
( $false
| ~ spl0_120
| spl0_186
| spl0_189 ),
inference(subsumption_resolution,[status(thm)],[f6377,f1519]) ).
thf(f6377,plain,
( ( $true
!= ( sK7 @ $true ) )
| spl0_186
| spl0_189 ),
inference(subsumption_resolution,[status(thm)],[f6366,f3733]) ).
thf(f3733,plain,
( ( $false != sK66 )
| spl0_189 ),
inference(avatar_component_clause,[status(thm)],[f3731]) ).
thf(f3731,definition,
( spl0_189
<=> ( $false = sK66 ) ),
introduced(definition,[new_symbols(naming,[spl0_189])],[avatar_definition]) ).
thf(f6366,plain,
( ( $false = sK66 )
| ( $true
!= ( sK7 @ $true ) )
| spl0_186 ),
inference(fool_paramodulation,[status(thm)],[f3718]) ).
thf(f6376,plain,
( spl0_186
| spl0_187 ),
inference(avatar_contradiction_clause,[status(thm)],[f6375]) ).
thf(f6375,plain,
( $false
| spl0_186
| spl0_187 ),
inference(subsumption_resolution,[status(thm)],[f6373,f3723]) ).
thf(f3723,plain,
( ( ( sK7 @ sK66 )
!= $false )
| spl0_187 ),
inference(avatar_component_clause,[status(thm)],[f3722]) ).
thf(f3722,definition,
( spl0_187
<=> ( ( sK7 @ sK66 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_187])],[avatar_definition]) ).
thf(f6373,plain,
( ( ( sK7 @ sK66 )
= $false )
| spl0_186 ),
inference(trivial_inequality_removal,[status(thm)],[f6367]) ).
thf(f6367,plain,
( ( ( sK7 @ sK66 )
= $false )
| ( $true != $true )
| spl0_186 ),
inference(fool_paramodulation,[status(thm)],[f3718]) ).
thf(f6353,plain,
( spl0_181
| ~ spl0_187
| spl0_189 ),
inference(avatar_contradiction_clause,[status(thm)],[f6352]) ).
thf(f6352,plain,
( $false
| spl0_181
| ~ spl0_187
| spl0_189 ),
inference(subsumption_resolution,[status(thm)],[f6351,f3415]) ).
thf(f3415,plain,
( ( ( sK7 @ $true )
!= $false )
| spl0_181 ),
inference(avatar_component_clause,[status(thm)],[f3413]) ).
thf(f6351,plain,
( ( ( sK7 @ $true )
= $false )
| ~ spl0_187
| spl0_189 ),
inference(subsumption_resolution,[status(thm)],[f6327,f3733]) ).
thf(f6327,plain,
( ( $false = sK66 )
| ( ( sK7 @ $true )
= $false )
| ~ spl0_187 ),
inference(fool_paramodulation,[status(thm)],[f3724]) ).
thf(f3724,plain,
( ( ( sK7 @ sK66 )
= $false )
| ~ spl0_187 ),
inference(avatar_component_clause,[status(thm)],[f3722]) ).
thf(f6158,plain,
( ~ spl0_131
| ~ spl0_25
| ~ spl0_132 ),
inference(avatar_split_clause,[status(thm)],[f6157,f1742,f267,f1735]) ).
thf(f6157,plain,
( ( ( eps1 @ sK2 )
!= $false )
| ~ spl0_25
| ~ spl0_132 ),
inference(forward_demodulation,[status(thm)],[f6152,f269]) ).
thf(f6150,plain,
( ~ spl0_80
| ~ spl0_131
| ~ spl0_132 ),
inference(avatar_contradiction_clause,[status(thm)],[f6149]) ).
thf(f6149,plain,
( $false
| ~ spl0_80
| ~ spl0_131
| ~ spl0_132 ),
inference(trivial_inequality_removal,[status(thm)],[f6148]) ).
thf(f6148,plain,
( ( $true = $false )
| ~ spl0_80
| ~ spl0_131
| ~ spl0_132 ),
inference(forward_demodulation,[status(thm)],[f6147,f1737]) ).
thf(f6147,plain,
( ( $true
= ( eps1 @ sK2 ) )
| ~ spl0_80
| ~ spl0_132 ),
inference(forward_demodulation,[status(thm)],[f726,f1743]) ).
thf(f6137,plain,
( spl0_25
| ~ spl0_64
| ~ spl0_129 ),
inference(avatar_split_clause,[status(thm)],[f6082,f1725,f605,f267]) ).
thf(f6082,plain,
( ( ( eps5 @ sK2 )
= $false )
| ~ spl0_64
| ~ spl0_129 ),
inference(backward_demodulation,[status(thm)],[f607,f1726]) ).
thf(f6132,plain,
( spl0_120
| ~ spl0_49
| ~ spl0_50 ),
inference(avatar_split_clause,[status(thm)],[f6122,f495,f490,f1517]) ).
thf(f6122,plain,
( ( $true
= ( sK7 @ $true ) )
| ~ spl0_49
| ~ spl0_50 ),
inference(backward_demodulation,[status(thm)],[f492,f496]) ).
thf(f6129,plain,
( ~ spl0_92
| ~ spl0_155
| ~ spl0_204 ),
inference(avatar_contradiction_clause,[status(thm)],[f6128]) ).
thf(f6128,plain,
( $false
| ~ spl0_92
| ~ spl0_155
| ~ spl0_204 ),
inference(trivial_inequality_removal,[status(thm)],[f6127]) ).
thf(f6127,plain,
( ( $true = $false )
| ~ spl0_92
| ~ spl0_155
| ~ spl0_204 ),
inference(backward_demodulation,[status(thm)],[f1011,f6126]) ).
thf(f6126,plain,
( ( ( sK6 @ $false )
= $false )
| ~ spl0_155
| ~ spl0_204 ),
inference(forward_demodulation,[status(thm)],[f2332,f4055]) ).
thf(f4055,plain,
( ( sK25 = $false )
| ~ spl0_204 ),
inference(avatar_component_clause,[status(thm)],[f4053]) ).
thf(f4053,definition,
( spl0_204
<=> ( sK25 = $false ) ),
introduced(definition,[new_symbols(naming,[spl0_204])],[avatar_definition]) ).
thf(f2332,plain,
( ( ( sK6 @ sK25 )
= $false )
| ~ spl0_155 ),
inference(avatar_component_clause,[status(thm)],[f2330]) ).
thf(f2330,definition,
( spl0_155
<=> ( ( sK6 @ sK25 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_155])],[avatar_definition]) ).
thf(f6125,plain,
( ~ spl0_49
| ~ spl0_50
| ~ spl0_181 ),
inference(avatar_contradiction_clause,[status(thm)],[f6124]) ).
thf(f6124,plain,
( $false
| ~ spl0_49
| ~ spl0_50
| ~ spl0_181 ),
inference(trivial_inequality_removal,[status(thm)],[f6123]) ).
thf(f6123,plain,
( ( $true = $false )
| ~ spl0_49
| ~ spl0_50
| ~ spl0_181 ),
inference(forward_demodulation,[status(thm)],[f6122,f3414]) ).
thf(f3414,plain,
( ( ( sK7 @ $true )
= $false )
| ~ spl0_181 ),
inference(avatar_component_clause,[status(thm)],[f3413]) ).
thf(f6094,plain,
( ~ spl0_120
| ~ spl0_181 ),
inference(avatar_contradiction_clause,[status(thm)],[f6093]) ).
thf(f6093,plain,
( $false
| ~ spl0_120
| ~ spl0_181 ),
inference(trivial_inequality_removal,[status(thm)],[f6092]) ).
thf(f6092,plain,
( ( $true = $false )
| ~ spl0_120
| ~ spl0_181 ),
inference(forward_demodulation,[status(thm)],[f1519,f3414]) ).
thf(f6091,plain,
( ~ spl0_123
| ~ spl0_124 ),
inference(avatar_contradiction_clause,[status(thm)],[f6090]) ).
thf(f6090,plain,
( $false
| ~ spl0_123
| ~ spl0_124 ),
inference(trivial_inequality_removal,[status(thm)],[f6089]) ).
thf(f6089,plain,
( ( $true = $false )
| ~ spl0_123
| ~ spl0_124 ),
inference(backward_demodulation,[status(thm)],[f1648,f1653]) ).
thf(f1648,plain,
( ( $true
= ( sK7 @ sK17 ) )
| ~ spl0_123 ),
inference(avatar_component_clause,[status(thm)],[f1646]) ).
thf(f6073,plain,
( ~ spl0_2
| ~ spl0_68
| spl0_129 ),
inference(avatar_contradiction_clause,[status(thm)],[f6072]) ).
thf(f6072,plain,
( $false
| ~ spl0_2
| ~ spl0_68
| spl0_129 ),
inference(trivial_inequality_removal,[status(thm)],[f6071]) ).
thf(f6071,plain,
( ( $false != $false )
| ~ spl0_2
| ~ spl0_68
| spl0_129 ),
inference(superposition,[status(thm)],[f5404,f98]) ).
thf(f5404,plain,
( ( ( sK2 @ sK84 )
!= $false )
| ~ spl0_68
| spl0_129 ),
inference(backward_demodulation,[status(thm)],[f5193,f626]) ).
thf(f5193,plain,
( ( ( sK2 @ sK84 )
!= ( sK9 @ sK84 ) )
| spl0_129 ),
inference(negative_extensionality,[status(thm)],[f1727]) ).
thf(f5965,plain,
( spl0_46
| spl0_103
| ~ spl0_117 ),
inference(avatar_contradiction_clause,[status(thm)],[f5964]) ).
thf(f5964,plain,
( $false
| spl0_46
| spl0_103
| ~ spl0_117 ),
inference(subsumption_resolution,[status(thm)],[f5963,f472]) ).
thf(f5963,plain,
( ( sK16 = $false )
| spl0_103
| ~ spl0_117 ),
inference(subsumption_resolution,[status(thm)],[f5948,f1251]) ).
thf(f1251,plain,
( ( $false
!= ( sK5 @ $true ) )
| spl0_103 ),
inference(avatar_component_clause,[status(thm)],[f1249]) ).
thf(f5948,plain,
( ( $false
= ( sK5 @ $true ) )
| ( sK16 = $false )
| ~ spl0_117 ),
inference(fool_paramodulation,[status(thm)],[f1500]) ).
thf(f1500,plain,
( ( ( sK5 @ sK16 )
= $false )
| ~ spl0_117 ),
inference(avatar_component_clause,[status(thm)],[f1498]) ).
thf(f1498,definition,
( spl0_117
<=> ( ( sK5 @ sK16 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_117])],[avatar_definition]) ).
thf(f5715,plain,
( spl0_18
| ~ spl0_2
| ~ spl0_17 ),
inference(avatar_split_clause,[status(thm)],[f5714,f205,f97,f210]) ).
thf(f5714,plain,
( ! [X1: $o] :
( ( sK4 @ X1 )
= $false )
| ~ spl0_2
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f5705,f98]) ).
thf(f5705,plain,
( ! [X1: $o] :
( ( sK2 @ X1 )
= ( sK4 @ X1 ) )
| ~ spl0_17 ),
inference(argument_congruence,[status(thm)],[f206]) ).
thf(f5622,plain,
( spl0_9
| ~ spl0_72
| ~ spl0_73 ),
inference(avatar_split_clause,[status(thm)],[f5619,f673,f668,f146]) ).
thf(f5619,plain,
( ( $true
= ( eps3 @ sK3 ) )
| ~ spl0_72
| ~ spl0_73 ),
inference(backward_demodulation,[status(thm)],[f670,f674]) ).
thf(f5621,plain,
( ~ spl0_14
| ~ spl0_73
| spl0_77 ),
inference(avatar_split_clause,[status(thm)],[f5620,f690,f673,f169]) ).
thf(f5620,plain,
( ( ( eps3 @ sK3 )
!= $false )
| ~ spl0_73
| spl0_77 ),
inference(backward_demodulation,[status(thm)],[f691,f674]) ).
thf(f5611,plain,
( spl0_131
| ~ spl0_17
| ~ spl0_21 ),
inference(avatar_split_clause,[status(thm)],[f5597,f222,f205,f1735]) ).
thf(f5597,plain,
( ( ( eps1 @ sK2 )
= $false )
| ~ spl0_17
| ~ spl0_21 ),
inference(backward_demodulation,[status(thm)],[f224,f206]) ).
thf(f5571,plain,
( ~ spl0_2
| ~ spl0_180 ),
inference(avatar_contradiction_clause,[status(thm)],[f5570]) ).
thf(f5570,plain,
( $false
| ~ spl0_2
| ~ spl0_180 ),
inference(trivial_inequality_removal,[status(thm)],[f5562]) ).
thf(f5562,plain,
( ( $true = $false )
| ~ spl0_2
| ~ spl0_180 ),
inference(backward_demodulation,[status(thm)],[f3062,f98]) ).
thf(f5569,plain,
( ~ spl0_2
| ~ spl0_122 ),
inference(avatar_contradiction_clause,[status(thm)],[f5568]) ).
thf(f5568,plain,
( $false
| ~ spl0_2
| ~ spl0_122 ),
inference(trivial_inequality_removal,[status(thm)],[f5563]) ).
thf(f5563,plain,
( ( $true = $false )
| ~ spl0_2
| ~ spl0_122 ),
inference(backward_demodulation,[status(thm)],[f1644,f98]) ).
thf(f1644,plain,
( ( ( sK2 @ sK17 )
= $true )
| ~ spl0_122 ),
inference(avatar_component_clause,[status(thm)],[f1642]) ).
thf(f1642,definition,
( spl0_122
<=> ( ( sK2 @ sK17 )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl0_122])],[avatar_definition]) ).
thf(f5508,plain,
( ~ spl0_104
| spl0_105
| ~ spl0_180 ),
inference(avatar_contradiction_clause,[status(thm)],[f5507]) ).
thf(f5507,plain,
( $false
| ~ spl0_104
| spl0_105
| ~ spl0_180 ),
inference(subsumption_resolution,[status(thm)],[f5506,f3062]) ).
thf(f5506,plain,
( ( $true
!= ( sK2 @ $true ) )
| ~ spl0_104
| spl0_105 ),
inference(forward_demodulation,[status(thm)],[f1286,f1281]) ).
thf(f1281,plain,
( ( $true = sK14 )
| ~ spl0_104 ),
inference(avatar_component_clause,[status(thm)],[f1280]) ).
thf(f1280,definition,
( spl0_104
<=> ( $true = sK14 ) ),
introduced(definition,[new_symbols(naming,[spl0_104])],[avatar_definition]) ).
thf(f1286,plain,
( ( $true
!= ( sK2 @ sK14 ) )
| spl0_105 ),
inference(avatar_component_clause,[status(thm)],[f1284]) ).
thf(f1284,definition,
( spl0_105
<=> ( $true
= ( sK2 @ sK14 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_105])],[avatar_definition]) ).
thf(f5503,plain,
( ~ spl0_21
| ~ spl0_64
| ~ spl0_178
| ~ spl0_179 ),
inference(avatar_contradiction_clause,[status(thm)],[f5502]) ).
thf(f5502,plain,
( $false
| ~ spl0_21
| ~ spl0_64
| ~ spl0_178
| ~ spl0_179 ),
inference(subsumption_resolution,[status(thm)],[f5501,f5443]) ).
thf(f5443,plain,
( ( ( eps5 @ sK4 )
= $false )
| ~ spl0_64
| ~ spl0_178 ),
inference(forward_demodulation,[status(thm)],[f607,f2981]) ).
thf(f5501,plain,
( ( ( eps5 @ sK4 )
!= $false )
| ~ spl0_21
| ~ spl0_178
| ~ spl0_179 ),
inference(forward_demodulation,[status(thm)],[f5431,f224]) ).
thf(f5431,plain,
( ( ( eps5 @ sK4 )
!= ( eps1 @ sK4 ) )
| ~ spl0_178
| ~ spl0_179 ),
inference(forward_demodulation,[status(thm)],[f86,f5412]) ).
thf(f5412,plain,
( ( sK11 = sK4 )
| ~ spl0_178
| ~ spl0_179 ),
inference(backward_demodulation,[status(thm)],[f2992,f2981]) ).
thf(f2992,plain,
( ( sK11 = sK9 )
| ~ spl0_179 ),
inference(avatar_component_clause,[status(thm)],[f2991]) ).
thf(f5484,plain,
( ~ spl0_64
| spl0_79
| ~ spl0_178
| ~ spl0_179 ),
inference(avatar_contradiction_clause,[status(thm)],[f5483]) ).
thf(f5483,plain,
( $false
| ~ spl0_64
| spl0_79
| ~ spl0_178
| ~ spl0_179 ),
inference(subsumption_resolution,[status(thm)],[f5482,f5443]) ).
thf(f5482,plain,
( ( ( eps5 @ sK4 )
!= $false )
| spl0_79
| ~ spl0_178
| ~ spl0_179 ),
inference(forward_demodulation,[status(thm)],[f722,f5412]) ).
thf(f5480,plain,
( ~ spl0_20
| ~ spl0_64
| ~ spl0_178 ),
inference(avatar_split_clause,[status(thm)],[f5479,f2980,f605,f218]) ).
thf(f5479,plain,
( ( ( eps2 @ sK4 )
!= $false )
| ~ spl0_64
| ~ spl0_178 ),
inference(forward_demodulation,[status(thm)],[f5478,f5443]) ).
thf(f5478,plain,
( ( ( eps5 @ sK4 )
!= ( eps2 @ sK4 ) )
| ~ spl0_178 ),
inference(forward_demodulation,[status(thm)],[f84,f2981]) ).
thf(f5454,plain,
( ~ spl0_65
| ~ spl0_79
| ~ spl0_178
| ~ spl0_179 ),
inference(avatar_contradiction_clause,[status(thm)],[f5453]) ).
thf(f5453,plain,
( $false
| ~ spl0_65
| ~ spl0_79
| ~ spl0_178
| ~ spl0_179 ),
inference(subsumption_resolution,[status(thm)],[f5452,f5430]) ).
thf(f5430,plain,
( ( ( eps5 @ sK4 )
!= $false )
| ~ spl0_65
| ~ spl0_178 ),
inference(forward_demodulation,[status(thm)],[f5134,f2981]) ).
thf(f5134,plain,
( ( ( eps5 @ sK9 )
!= $false )
| ~ spl0_65 ),
inference(forward_demodulation,[status(thm)],[f84,f612]) ).
thf(f5452,plain,
( ( ( eps5 @ sK4 )
= $false )
| ~ spl0_79
| ~ spl0_178
| ~ spl0_179 ),
inference(forward_demodulation,[status(thm)],[f723,f5412]) ).
thf(f5440,plain,
( spl0_20
| ~ spl0_65
| ~ spl0_178 ),
inference(avatar_split_clause,[status(thm)],[f5410,f2980,f610,f218]) ).
thf(f5410,plain,
( ( ( eps2 @ sK4 )
= $false )
| ~ spl0_65
| ~ spl0_178 ),
inference(backward_demodulation,[status(thm)],[f612,f2981]) ).
thf(f5438,plain,
( ~ spl0_21
| spl0_84
| ~ spl0_178
| ~ spl0_179 ),
inference(avatar_split_clause,[status(thm)],[f5437,f2991,f2980,f743,f222]) ).
thf(f5437,plain,
( ( ( eps1 @ sK4 )
!= $false )
| spl0_84
| ~ spl0_178
| ~ spl0_179 ),
inference(forward_demodulation,[status(thm)],[f744,f5412]) ).
thf(f744,plain,
( ( ( eps1 @ sK11 )
!= $false )
| spl0_84 ),
inference(avatar_component_clause,[status(thm)],[f743]) ).
thf(f5359,plain,
( spl0_91
| ~ spl0_138
| ~ spl0_140 ),
inference(avatar_contradiction_clause,[status(thm)],[f5358]) ).
thf(f5358,plain,
( $false
| spl0_91
| ~ spl0_138
| ~ spl0_140 ),
inference(subsumption_resolution,[status(thm)],[f5328,f994]) ).
thf(f994,plain,
( ( $true
!= ( sK9 @ $false ) )
| spl0_91 ),
inference(avatar_component_clause,[status(thm)],[f993]) ).
thf(f5328,plain,
( ( $true
= ( sK9 @ $false ) )
| ~ spl0_138
| ~ spl0_140 ),
inference(forward_demodulation,[status(thm)],[f1851,f1840]) ).
thf(f1840,plain,
( ( sK18 = $false )
| ~ spl0_138 ),
inference(avatar_component_clause,[status(thm)],[f1839]) ).
thf(f1839,definition,
( spl0_138
<=> ( sK18 = $false ) ),
introduced(definition,[new_symbols(naming,[spl0_138])],[avatar_definition]) ).
thf(f5345,plain,
( spl0_64
| ~ spl0_79
| ~ spl0_179 ),
inference(avatar_contradiction_clause,[status(thm)],[f5344]) ).
thf(f5344,plain,
( $false
| spl0_64
| ~ spl0_79
| ~ spl0_179 ),
inference(subsumption_resolution,[status(thm)],[f5342,f606]) ).
thf(f5342,plain,
( ( ( eps5 @ sK9 )
= $false )
| ~ spl0_79
| ~ spl0_179 ),
inference(backward_demodulation,[status(thm)],[f723,f2992]) ).
thf(f5206,plain,
( ~ spl0_18
| ~ spl0_68
| spl0_178 ),
inference(avatar_contradiction_clause,[status(thm)],[f5205]) ).
thf(f5205,plain,
( $false
| ~ spl0_18
| ~ spl0_68
| spl0_178 ),
inference(subsumption_resolution,[status(thm)],[f5204,f626]) ).
thf(f5204,plain,
( ( ( sK9 @ sK85 )
!= $false )
| ~ spl0_18
| spl0_178 ),
inference(forward_demodulation,[status(thm)],[f5201,f211]) ).
thf(f5201,plain,
( ( ( sK9 @ sK85 )
!= ( sK4 @ sK85 ) )
| spl0_178 ),
inference(negative_extensionality,[status(thm)],[f2982]) ).
thf(f5179,plain,
( ~ spl0_68
| ~ spl0_91 ),
inference(avatar_contradiction_clause,[status(thm)],[f5178]) ).
thf(f5178,plain,
( $false
| ~ spl0_68
| ~ spl0_91 ),
inference(trivial_inequality_removal,[status(thm)],[f5177]) ).
thf(f5177,plain,
( ( $true = $false )
| ~ spl0_68
| ~ spl0_91 ),
inference(backward_demodulation,[status(thm)],[f995,f626]) ).
thf(f5141,plain,
( ~ spl0_148
| ~ spl0_152
| ~ spl0_208 ),
inference(avatar_contradiction_clause,[status(thm)],[f5140]) ).
thf(f5140,plain,
( $false
| ~ spl0_148
| ~ spl0_152
| ~ spl0_208 ),
inference(trivial_inequality_removal,[status(thm)],[f5139]) ).
thf(f5139,plain,
( ( $true = $false )
| ~ spl0_148
| ~ spl0_152
| ~ spl0_208 ),
inference(forward_demodulation,[status(thm)],[f5077,f5121]) ).
thf(f5121,plain,
( ( ( sK10 @ $false )
= $false )
| ~ spl0_148
| ~ spl0_152 ),
inference(forward_demodulation,[status(thm)],[f2068,f2172]) ).
thf(f5119,plain,
( spl0_208
| ~ spl0_76
| ~ spl0_78 ),
inference(avatar_split_clause,[status(thm)],[f5118,f696,f686,f5075]) ).
thf(f5118,plain,
( ( ( sK10 @ $false )
= $true )
| ~ spl0_76
| ~ spl0_78 ),
inference(forward_demodulation,[status(thm)],[f698,f688]) ).
thf(f5044,plain,
( ~ spl0_16
| ~ spl0_18
| ~ spl0_83
| ~ spl0_84 ),
inference(avatar_contradiction_clause,[status(thm)],[f5043]) ).
thf(f5043,plain,
( $false
| ~ spl0_16
| ~ spl0_18
| ~ spl0_83
| ~ spl0_84 ),
inference(subsumption_resolution,[status(thm)],[f5042,f211]) ).
thf(f5042,plain,
( ( ( sK4 @ sK83 )
!= $false )
| ~ spl0_16
| ~ spl0_83
| ~ spl0_84 ),
inference(forward_demodulation,[status(thm)],[f5038,f740]) ).
thf(f5038,plain,
( ( ( sK4 @ sK83 )
!= ( sK11 @ sK83 ) )
| ~ spl0_16
| ~ spl0_84 ),
inference(negative_extensionality,[status(thm)],[f5037]) ).
thf(f5037,plain,
( ( sK11 != sK4 )
| ~ spl0_16
| ~ spl0_84 ),
inference(trivial_inequality_removal,[status(thm)],[f5035]) ).
thf(f5035,plain,
( ( sK11 != sK4 )
| ( $true = $false )
| ~ spl0_16
| ~ spl0_84 ),
inference(constrained_superposition,[status(thm)],[f745,f202]) ).
thf(f4928,plain,
( ~ spl0_50
| ~ spl0_53 ),
inference(avatar_contradiction_clause,[status(thm)],[f4927]) ).
thf(f4927,plain,
( $false
| ~ spl0_50
| ~ spl0_53 ),
inference(trivial_inequality_removal,[status(thm)],[f4926]) ).
thf(f4926,plain,
( ( $true = $false )
| ~ spl0_50
| ~ spl0_53 ),
inference(forward_demodulation,[status(thm)],[f496,f509]) ).
thf(f4905,plain,
( ~ spl0_5
| ~ spl0_31
| ~ spl0_128 ),
inference(avatar_contradiction_clause,[status(thm)],[f4904]) ).
thf(f4904,plain,
( $false
| ~ spl0_5
| ~ spl0_31
| ~ spl0_128 ),
inference(subsumption_resolution,[status(thm)],[f4817,f1722]) ).
thf(f4817,plain,
( ( sK2 != sK5 )
| ~ spl0_5
| ~ spl0_31 ),
inference(trivial_inequality_removal,[status(thm)],[f4814]) ).
thf(f4814,plain,
( ( $true = $false )
| ( sK2 != sK5 )
| ~ spl0_5
| ~ spl0_31 ),
inference(constrained_superposition,[status(thm)],[f333,f112]) ).
thf(f4890,plain,
( ~ spl0_5
| spl0_29
| ~ spl0_128 ),
inference(avatar_contradiction_clause,[status(thm)],[f4889]) ).
thf(f4889,plain,
( $false
| ~ spl0_5
| spl0_29
| ~ spl0_128 ),
inference(subsumption_resolution,[status(thm)],[f4887,f112]) ).
thf(f4887,plain,
( ( ( eps4 @ sK2 )
!= $false )
| spl0_29
| ~ spl0_128 ),
inference(backward_demodulation,[status(thm)],[f324,f1722]) ).
thf(f4881,plain,
( spl0_34
| ~ spl0_31
| ~ spl0_103 ),
inference(avatar_split_clause,[status(thm)],[f4880,f1249,f331,f344]) ).
thf(f4880,plain,
( ! [X1: $o] :
( $false
= ( sK5 @ X1 ) )
| ~ spl0_31
| ~ spl0_103 ),
inference(trivial_inequality_removal,[status(thm)],[f4879]) ).
thf(f4879,plain,
( ! [X1: $o] :
( ( $false
= ( sK5 @ X1 ) )
| ( $true = $false ) )
| ~ spl0_31
| ~ spl0_103 ),
inference(forward_demodulation,[status(thm)],[f4878,f1250]) ).
thf(f4878,plain,
( ! [X1: $o] :
( ( $true
= ( sK5 @ $true ) )
| ( $false
= ( sK5 @ X1 ) ) )
| ~ spl0_31 ),
inference(forward_demodulation,[status(thm)],[f4810,f333]) ).
thf(f4810,plain,
! [X1: $o] :
( ( $true
= ( sK5 @ ( eps4 @ sK5 ) ) )
| ( $false
= ( sK5 @ X1 ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f4855,plain,
( ~ spl0_103
| ~ spl0_121 ),
inference(avatar_contradiction_clause,[status(thm)],[f4854]) ).
thf(f4854,plain,
( $false
| ~ spl0_103
| ~ spl0_121 ),
inference(trivial_inequality_removal,[status(thm)],[f4853]) ).
thf(f4853,plain,
( ( $true = $false )
| ~ spl0_103
| ~ spl0_121 ),
inference(backward_demodulation,[status(thm)],[f1533,f1250]) ).
thf(f4846,plain,
( spl0_101
| ~ spl0_35
| ~ spl0_36 ),
inference(avatar_split_clause,[status(thm)],[f4845,f354,f348,f1229]) ).
thf(f4845,plain,
( ( $true
= ( sK5 @ $false ) )
| ~ spl0_35
| ~ spl0_36 ),
inference(forward_demodulation,[status(thm)],[f356,f350]) ).
thf(f356,plain,
( ( ( sK5 @ ( eps5 @ sK5 ) )
= $true )
| ~ spl0_36 ),
inference(avatar_component_clause,[status(thm)],[f354]) ).
thf(f4844,plain,
( ~ spl0_34
| ~ spl0_35
| ~ spl0_81
| ~ spl0_83 ),
inference(avatar_contradiction_clause,[status(thm)],[f4843]) ).
thf(f4843,plain,
( $false
| ~ spl0_34
| ~ spl0_35
| ~ spl0_81
| ~ spl0_83 ),
inference(subsumption_resolution,[status(thm)],[f4842,f740]) ).
thf(f4842,plain,
( ( ( sK11 @ sK79 )
!= $false )
| ~ spl0_34
| ~ spl0_35
| ~ spl0_81 ),
inference(forward_demodulation,[status(thm)],[f4838,f345]) ).
thf(f4838,plain,
( ( ( sK11 @ sK79 )
!= ( sK5 @ sK79 ) )
| ~ spl0_35
| ~ spl0_81 ),
inference(negative_extensionality,[status(thm)],[f4837]) ).
thf(f4837,plain,
( ( sK11 != sK5 )
| ~ spl0_35
| ~ spl0_81 ),
inference(trivial_inequality_removal,[status(thm)],[f4831]) ).
thf(f4831,plain,
( ( $true = $false )
| ( sK11 != sK5 )
| ~ spl0_35
| ~ spl0_81 ),
inference(constrained_superposition,[status(thm)],[f350,f732]) ).
thf(f4806,plain,
( ~ spl0_29
| ~ spl0_34
| ~ spl0_48
| spl0_51 ),
inference(avatar_contradiction_clause,[status(thm)],[f4805]) ).
thf(f4805,plain,
( $false
| ~ spl0_29
| ~ spl0_34
| ~ spl0_48
| spl0_51 ),
inference(subsumption_resolution,[status(thm)],[f4804,f345]) ).
thf(f4804,plain,
( ( ( sK5 @ sK78 )
!= $false )
| ~ spl0_29
| ~ spl0_48
| spl0_51 ),
inference(forward_demodulation,[status(thm)],[f4800,f487]) ).
thf(f4800,plain,
( ( ( sK5 @ sK78 )
!= ( sK7 @ sK78 ) )
| ~ spl0_29
| spl0_51 ),
inference(negative_extensionality,[status(thm)],[f4799]) ).
thf(f4799,plain,
( ( sK5 != sK7 )
| ~ spl0_29
| spl0_51 ),
inference(trivial_inequality_removal,[status(thm)],[f4795]) ).
thf(f4795,plain,
( ( sK5 != sK7 )
| ( $false != $false )
| ~ spl0_29
| spl0_51 ),
inference(constrained_superposition,[status(thm)],[f500,f323]) ).
thf(f4588,plain,
( ~ spl0_18
| ~ spl0_20
| ~ spl0_71
| ~ spl0_75 ),
inference(avatar_contradiction_clause,[status(thm)],[f4587]) ).
thf(f4587,plain,
( $false
| ~ spl0_18
| ~ spl0_20
| ~ spl0_71
| ~ spl0_75 ),
inference(subsumption_resolution,[status(thm)],[f4586,f211]) ).
thf(f4586,plain,
( ( ( sK4 @ sK76 )
!= $false )
| ~ spl0_20
| ~ spl0_71
| ~ spl0_75 ),
inference(forward_demodulation,[status(thm)],[f4582,f683]) ).
thf(f4582,plain,
( ( ( sK4 @ sK76 )
!= ( sK10 @ sK76 ) )
| ~ spl0_20
| ~ spl0_71 ),
inference(negative_extensionality,[status(thm)],[f4573]) ).
thf(f4573,plain,
( ( sK4 != sK10 )
| ~ spl0_20
| ~ spl0_71 ),
inference(trivial_inequality_removal,[status(thm)],[f4567]) ).
thf(f4567,plain,
( ( sK4 != sK10 )
| ( $true = $false )
| ~ spl0_20
| ~ spl0_71 ),
inference(constrained_superposition,[status(thm)],[f666,f220]) ).
thf(f4510,plain,
( ~ spl0_93
| spl0_156
| spl0_204 ),
inference(avatar_contradiction_clause,[status(thm)],[f4509]) ).
thf(f4509,plain,
( $false
| ~ spl0_93
| spl0_156
| spl0_204 ),
inference(subsumption_resolution,[status(thm)],[f4508,f4054]) ).
thf(f4054,plain,
( ( sK25 != $false )
| spl0_204 ),
inference(avatar_component_clause,[status(thm)],[f4053]) ).
thf(f4508,plain,
( ( sK25 = $false )
| ~ spl0_93
| spl0_156 ),
inference(subsumption_resolution,[status(thm)],[f4500,f1019]) ).
thf(f4500,plain,
( ( $true
!= ( sK6 @ $true ) )
| ( sK25 = $false )
| spl0_156 ),
inference(fool_paramodulation,[status(thm)],[f2336]) ).
thf(f2336,plain,
( ( $true
!= ( sK6 @ sK25 ) )
| spl0_156 ),
inference(avatar_component_clause,[status(thm)],[f2335]) ).
thf(f4507,plain,
( spl0_155
| spl0_156 ),
inference(avatar_split_clause,[status(thm)],[f4505,f2335,f2330]) ).
thf(f4505,plain,
( ( ( sK6 @ sK25 )
= $false )
| spl0_156 ),
inference(trivial_inequality_removal,[status(thm)],[f4501]) ).
thf(f4501,plain,
( ( ( sK6 @ sK25 )
= $false )
| ( $true != $true )
| spl0_156 ),
inference(fool_paramodulation,[status(thm)],[f2336]) ).
thf(f4298,plain,
( spl0_28
| spl0_104 ),
inference(avatar_contradiction_clause,[status(thm)],[f4297]) ).
thf(f4297,plain,
( $false
| spl0_28
| spl0_104 ),
inference(subsumption_resolution,[status(thm)],[f4296,f308]) ).
thf(f308,plain,
( ( sK14 != $false )
| spl0_28 ),
inference(avatar_component_clause,[status(thm)],[f307]) ).
thf(f4296,plain,
( ( sK14 = $false )
| spl0_104 ),
inference(trivial_inequality_removal,[status(thm)],[f4295]) ).
thf(f4295,plain,
( ( sK14 = $false )
| ( $true != $true )
| spl0_104 ),
inference(fool_paramodulation,[status(thm)],[f1282]) ).
thf(f1282,plain,
( ( $true != sK14 )
| spl0_104 ),
inference(avatar_component_clause,[status(thm)],[f1280]) ).
thf(f4294,plain,
( ~ spl0_48
| spl0_181 ),
inference(avatar_contradiction_clause,[status(thm)],[f4293]) ).
thf(f4293,plain,
( $false
| ~ spl0_48
| spl0_181 ),
inference(trivial_inequality_removal,[status(thm)],[f4288]) ).
thf(f4288,plain,
( ( $false != $false )
| ~ spl0_48
| spl0_181 ),
inference(superposition,[status(thm)],[f3415,f487]) ).
thf(f4274,plain,
( ~ spl0_48
| ~ spl0_192 ),
inference(avatar_contradiction_clause,[status(thm)],[f4273]) ).
thf(f4273,plain,
( $false
| ~ spl0_48
| ~ spl0_192 ),
inference(trivial_inequality_removal,[status(thm)],[f4270]) ).
thf(f4270,plain,
( ( $true = $false )
| ~ spl0_48
| ~ spl0_192 ),
inference(backward_demodulation,[status(thm)],[f3887,f487]) ).
thf(f3887,plain,
( ( $true
= ( sK7 @ sK69 ) )
| ~ spl0_192 ),
inference(avatar_component_clause,[status(thm)],[f3885]) ).
thf(f3885,definition,
( spl0_192
<=> ( $true
= ( sK7 @ sK69 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_192])],[avatar_definition]) ).
thf(f4254,plain,
( spl0_109
| ~ spl0_3
| ~ spl0_5 ),
inference(avatar_split_clause,[status(thm)],[f4217,f110,f101,f1323]) ).
thf(f4217,plain,
( ( $true
= ( sK2 @ $false ) )
| ~ spl0_3
| ~ spl0_5 ),
inference(backward_demodulation,[status(thm)],[f103,f112]) ).
thf(f103,plain,
( ( $true
= ( sK2 @ ( eps4 @ sK2 ) ) )
| ~ spl0_3 ),
inference(avatar_component_clause,[status(thm)],[f101]) ).
thf(f4247,plain,
( ~ spl0_131
| ~ spl0_5
| ~ spl0_61 ),
inference(avatar_split_clause,[status(thm)],[f4246,f570,f110,f1735]) ).
thf(f4246,plain,
( ( ( eps1 @ sK2 )
!= $false )
| ~ spl0_5
| ~ spl0_61 ),
inference(forward_demodulation,[status(thm)],[f4245,f112]) ).
thf(f4245,plain,
( ( ( eps1 @ sK2 )
!= ( eps4 @ sK2 ) )
| ~ spl0_61 ),
inference(forward_demodulation,[status(thm)],[f83,f571]) ).
thf(f4208,plain,
( ~ spl0_109
| ~ spl0_125
| ~ spl0_127 ),
inference(avatar_contradiction_clause,[status(thm)],[f4207]) ).
thf(f4207,plain,
( $false
| ~ spl0_109
| ~ spl0_125
| ~ spl0_127 ),
inference(trivial_inequality_removal,[status(thm)],[f4206]) ).
thf(f4206,plain,
( ( $true = $false )
| ~ spl0_109
| ~ spl0_125
| ~ spl0_127 ),
inference(forward_demodulation,[status(thm)],[f1325,f4189]) ).
thf(f4189,plain,
( ( ( sK2 @ $false )
= $false )
| ~ spl0_125
| ~ spl0_127 ),
inference(backward_demodulation,[status(thm)],[f1671,f1657]) ).
thf(f1671,plain,
( ( ( sK2 @ sK17 )
= $false )
| ~ spl0_127 ),
inference(avatar_component_clause,[status(thm)],[f1669]) ).
thf(f1669,definition,
( spl0_127
<=> ( ( sK2 @ sK17 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_127])],[avatar_definition]) ).
thf(f4179,plain,
( spl0_25
| ~ spl0_13
| ~ spl0_23 ),
inference(avatar_split_clause,[status(thm)],[f4165,f257,f164,f267]) ).
thf(f4165,plain,
( ( ( eps5 @ sK2 )
= $false )
| ~ spl0_13
| ~ spl0_23 ),
inference(backward_demodulation,[status(thm)],[f166,f258]) ).
thf(f4175,plain,
( ~ spl0_4
| ~ spl0_23
| spl0_65
| ~ spl0_66 ),
inference(avatar_split_clause,[status(thm)],[f4170,f615,f610,f257,f106]) ).
thf(f4170,plain,
( ( ( eps2 @ sK2 )
!= $false )
| ~ spl0_23
| spl0_65
| ~ spl0_66 ),
inference(backward_demodulation,[status(thm)],[f1884,f258]) ).
thf(f1884,plain,
( ( $false
!= ( eps2 @ sK3 ) )
| spl0_65
| ~ spl0_66 ),
inference(backward_demodulation,[status(thm)],[f611,f616]) ).
thf(f4154,plain,
( spl0_120
| ~ spl0_47
| ~ spl0_54 ),
inference(avatar_split_clause,[status(thm)],[f3765,f513,f482,f1517]) ).
thf(f3765,plain,
( ( $true
= ( sK7 @ $true ) )
| ~ spl0_47
| ~ spl0_54 ),
inference(backward_demodulation,[status(thm)],[f484,f515]) ).
thf(f4124,plain,
( spl0_27
| spl0_125
| ~ spl0_127 ),
inference(avatar_split_clause,[status(thm)],[f3446,f1669,f1656,f303]) ).
thf(f3446,plain,
( ( ( sK2 @ $true )
= $false )
| ( sK17 = $false )
| ~ spl0_127 ),
inference(fool_paramodulation,[status(thm)],[f1671]) ).
thf(f4114,plain,
( spl0_2
| ~ spl0_83
| ~ spl0_132 ),
inference(avatar_split_clause,[status(thm)],[f3360,f1742,f739,f97]) ).
thf(f3360,plain,
( ! [X1: $o] :
( ( sK2 @ X1 )
= $false )
| ~ spl0_83
| ~ spl0_132 ),
inference(forward_demodulation,[status(thm)],[f3337,f740]) ).
thf(f3337,plain,
( ! [X1: $o] :
( ( sK2 @ X1 )
= ( sK11 @ X1 ) )
| ~ spl0_132 ),
inference(argument_congruence,[status(thm)],[f1743]) ).
thf(f4076,plain,
( ~ spl0_93
| spl0_39
| ~ spl0_56
| ~ spl0_158
| spl0_201 ),
inference(avatar_split_clause,[status(thm)],[f4075,f4020,f2363,f547,f423,f1017]) ).
thf(f4020,definition,
( spl0_201
<=> ( sK70 = $false ) ),
introduced(definition,[new_symbols(naming,[spl0_201])],[avatar_definition]) ).
thf(f4075,plain,
( ( $true
!= ( sK6 @ $true ) )
| spl0_39
| ~ spl0_56
| ~ spl0_158
| spl0_201 ),
inference(backward_demodulation,[status(thm)],[f4073,f2365]) ).
thf(f4073,plain,
( ( ( sK6 @ $true )
!= ( sK8 @ $true ) )
| spl0_39
| ~ spl0_56
| spl0_201 ),
inference(subsumption_resolution,[status(thm)],[f3995,f4022]) ).
thf(f4022,plain,
( ( sK70 != $false )
| spl0_201 ),
inference(avatar_component_clause,[status(thm)],[f4020]) ).
thf(f3995,plain,
( ( sK70 = $false )
| ( ( sK6 @ $true )
!= ( sK8 @ $true ) )
| spl0_39
| ~ spl0_56 ),
inference(fool_paramodulation,[status(thm)],[f3969]) ).
thf(f3969,plain,
( ( ( sK6 @ sK70 )
!= ( sK8 @ sK70 ) )
| spl0_39
| ~ spl0_56 ),
inference(negative_extensionality,[status(thm)],[f3966]) ).
thf(f3966,plain,
( ( sK8 != sK6 )
| spl0_39
| ~ spl0_56 ),
inference(trivial_inequality_removal,[status(thm)],[f3961]) ).
thf(f3961,plain,
( ( $false != $false )
| ( sK8 != sK6 )
| spl0_39
| ~ spl0_56 ),
inference(constrained_superposition,[status(thm)],[f424,f549]) ).
thf(f4045,plain,
( ~ spl0_92
| spl0_197
| ~ spl0_201 ),
inference(avatar_contradiction_clause,[status(thm)],[f4044]) ).
thf(f4044,plain,
( $false
| ~ spl0_92
| spl0_197
| ~ spl0_201 ),
inference(subsumption_resolution,[status(thm)],[f4043,f1011]) ).
thf(f4043,plain,
( ( ( sK6 @ $false )
!= $true )
| spl0_197
| ~ spl0_201 ),
inference(forward_demodulation,[status(thm)],[f4003,f4021]) ).
thf(f4021,plain,
( ( sK70 = $false )
| ~ spl0_201 ),
inference(avatar_component_clause,[status(thm)],[f4020]) ).
thf(f4003,plain,
( ( $true
!= ( sK6 @ sK70 ) )
| spl0_197 ),
inference(avatar_component_clause,[status(thm)],[f4001]) ).
thf(f4023,plain,
( ~ spl0_197
| ~ spl0_201
| spl0_39
| ~ spl0_56
| ~ spl0_87 ),
inference(avatar_split_clause,[status(thm)],[f3997,f853,f547,f423,f4020,f4001]) ).
thf(f3997,plain,
( ( sK70 != $false )
| ( $true
!= ( sK6 @ sK70 ) )
| spl0_39
| ~ spl0_56
| ~ spl0_87 ),
inference(constrained_superposition,[status(thm)],[f3969,f855]) ).
thf(f4013,plain,
( spl0_199
| spl0_197
| spl0_39
| ~ spl0_56 ),
inference(avatar_split_clause,[status(thm)],[f3993,f547,f423,f4001,f4010]) ).
thf(f3993,plain,
( ( $true
= ( sK6 @ sK70 ) )
| ( $true
= ( sK8 @ sK70 ) )
| spl0_39
| ~ spl0_56 ),
inference(binary_proxy_clausification,[status(thm)],[f3969]) ).
thf(f3923,plain,
( ~ spl0_49
| spl0_51
| ~ spl0_53
| ~ spl0_55
| ~ spl0_87
| ~ spl0_120
| ~ spl0_158 ),
inference(avatar_contradiction_clause,[status(thm)],[f3922]) ).
thf(f3922,plain,
( $false
| ~ spl0_49
| spl0_51
| ~ spl0_53
| ~ spl0_55
| ~ spl0_87
| ~ spl0_120
| ~ spl0_158 ),
inference(subsumption_resolution,[status(thm)],[f3921,f3794]) ).
thf(f3794,plain,
( ( $true
= ( sK7 @ $false ) )
| ~ spl0_49
| ~ spl0_53 ),
inference(forward_demodulation,[status(thm)],[f492,f509]) ).
thf(f3921,plain,
( ( $true
!= ( sK7 @ $false ) )
| spl0_51
| ~ spl0_55
| ~ spl0_87
| ~ spl0_120
| ~ spl0_158 ),
inference(forward_demodulation,[status(thm)],[f3920,f3909]) ).
thf(f3909,plain,
( ( sK69 = $false )
| spl0_51
| ~ spl0_55
| ~ spl0_120
| ~ spl0_158 ),
inference(subsumption_resolution,[status(thm)],[f3908,f1519]) ).
thf(f3908,plain,
( ( $true
!= ( sK7 @ $true ) )
| ( sK69 = $false )
| spl0_51
| ~ spl0_55
| ~ spl0_158 ),
inference(forward_demodulation,[status(thm)],[f3879,f2365]) ).
thf(f3879,plain,
( ( sK69 = $false )
| ( ( sK7 @ $true )
!= ( sK8 @ $true ) )
| spl0_51
| ~ spl0_55 ),
inference(fool_paramodulation,[status(thm)],[f3834]) ).
thf(f3834,plain,
( ( ( sK7 @ sK69 )
!= ( sK8 @ sK69 ) )
| spl0_51
| ~ spl0_55 ),
inference(negative_extensionality,[status(thm)],[f3824]) ).
thf(f3824,plain,
( ( sK8 != sK7 )
| spl0_51
| ~ spl0_55 ),
inference(trivial_inequality_removal,[status(thm)],[f3822]) ).
thf(f3822,plain,
( ( sK8 != sK7 )
| ( $false != $false )
| spl0_51
| ~ spl0_55 ),
inference(constrained_superposition,[status(thm)],[f500,f545]) ).
thf(f3920,plain,
( ( $true
!= ( sK7 @ sK69 ) )
| spl0_51
| ~ spl0_55
| ~ spl0_87
| ~ spl0_120
| ~ spl0_158 ),
inference(subsumption_resolution,[status(thm)],[f3881,f3909]) ).
thf(f3881,plain,
( ( sK69 != $false )
| ( $true
!= ( sK7 @ sK69 ) )
| spl0_51
| ~ spl0_55
| ~ spl0_87 ),
inference(constrained_superposition,[status(thm)],[f3834,f855]) ).
thf(f3892,plain,
( spl0_192
| spl0_193
| spl0_51
| ~ spl0_55 ),
inference(avatar_split_clause,[status(thm)],[f3877,f543,f499,f3889,f3885]) ).
thf(f3877,plain,
( ( $true
= ( sK8 @ sK69 ) )
| ( $true
= ( sK7 @ sK69 ) )
| spl0_51
| ~ spl0_55 ),
inference(binary_proxy_clausification,[status(thm)],[f3834]) ).
thf(f3796,plain,
( ~ spl0_49
| ~ spl0_53
| spl0_186
| ~ spl0_189 ),
inference(avatar_contradiction_clause,[status(thm)],[f3795]) ).
thf(f3795,plain,
( $false
| ~ spl0_49
| ~ spl0_53
| spl0_186
| ~ spl0_189 ),
inference(subsumption_resolution,[status(thm)],[f3794,f3774]) ).
thf(f3774,plain,
( ( $true
!= ( sK7 @ $false ) )
| spl0_186
| ~ spl0_189 ),
inference(forward_demodulation,[status(thm)],[f3718,f3732]) ).
thf(f3732,plain,
( ( $false = sK66 )
| ~ spl0_189 ),
inference(avatar_component_clause,[status(thm)],[f3731]) ).
thf(f3793,plain,
( spl0_48
| ~ spl0_53
| spl0_186
| ~ spl0_189 ),
inference(avatar_split_clause,[status(thm)],[f3792,f3731,f3717,f508,f486]) ).
thf(f3792,plain,
( ! [X1: $o] :
( ( sK7 @ X1 )
= $false )
| ~ spl0_53
| spl0_186
| ~ spl0_189 ),
inference(subsumption_resolution,[status(thm)],[f3791,f3774]) ).
thf(f3791,plain,
( ! [X1: $o] :
( ( ( sK7 @ X1 )
= $false )
| ( $true
= ( sK7 @ $false ) ) )
| ~ spl0_53 ),
inference(forward_demodulation,[status(thm)],[f1268,f509]) ).
thf(f1268,plain,
! [X1: $o] :
( ( ( sK7 @ ( eps3 @ sK7 ) )
= $true )
| ( ( sK7 @ X1 )
= $false ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f3788,plain,
( ~ spl0_48
| ~ spl0_123 ),
inference(avatar_contradiction_clause,[status(thm)],[f3787]) ).
thf(f3787,plain,
( $false
| ~ spl0_48
| ~ spl0_123 ),
inference(trivial_inequality_removal,[status(thm)],[f3783]) ).
thf(f3783,plain,
( ( $true = $false )
| ~ spl0_48
| ~ spl0_123 ),
inference(backward_demodulation,[status(thm)],[f1648,f487]) ).
thf(f3756,plain,
( ~ spl0_47
| ~ spl0_51
| ~ spl0_187
| ~ spl0_189 ),
inference(avatar_contradiction_clause,[status(thm)],[f3755]) ).
thf(f3755,plain,
( $false
| ~ spl0_47
| ~ spl0_51
| ~ spl0_187
| ~ spl0_189 ),
inference(trivial_inequality_removal,[status(thm)],[f3754]) ).
thf(f3754,plain,
( ( $true = $false )
| ~ spl0_47
| ~ spl0_51
| ~ spl0_187
| ~ spl0_189 ),
inference(backward_demodulation,[status(thm)],[f1525,f3753]) ).
thf(f3753,plain,
( ( ( sK7 @ $false )
= $false )
| ~ spl0_187
| ~ spl0_189 ),
inference(forward_demodulation,[status(thm)],[f3724,f3732]) ).
thf(f1525,plain,
( ( $true
= ( sK7 @ $false ) )
| ~ spl0_47
| ~ spl0_51 ),
inference(forward_demodulation,[status(thm)],[f484,f501]) ).
thf(f3752,plain,
( ~ spl0_38
| ~ spl0_47
| ~ spl0_50
| ~ spl0_51
| ~ spl0_92
| ~ spl0_189 ),
inference(avatar_contradiction_clause,[status(thm)],[f3751]) ).
thf(f3751,plain,
( $false
| ~ spl0_38
| ~ spl0_47
| ~ spl0_50
| ~ spl0_51
| ~ spl0_92
| ~ spl0_189 ),
inference(subsumption_resolution,[status(thm)],[f3750,f1011]) ).
thf(f3750,plain,
( ( ( sK6 @ $false )
!= $true )
| ~ spl0_38
| ~ spl0_47
| ~ spl0_50
| ~ spl0_51
| ~ spl0_189 ),
inference(forward_demodulation,[status(thm)],[f3749,f1525]) ).
thf(f3749,plain,
( ( ( sK6 @ $false )
!= ( sK7 @ $false ) )
| ~ spl0_38
| ~ spl0_50
| ~ spl0_189 ),
inference(backward_demodulation,[status(thm)],[f3549,f3732]) ).
thf(f3549,plain,
( ( ( sK6 @ sK66 )
!= ( sK7 @ sK66 ) )
| ~ spl0_38
| ~ spl0_50 ),
inference(negative_extensionality,[status(thm)],[f3539]) ).
thf(f3539,plain,
( ( sK6 != sK7 )
| ~ spl0_38
| ~ spl0_50 ),
inference(trivial_inequality_removal,[status(thm)],[f3535]) ).
thf(f3535,plain,
( ( $true = $false )
| ( sK6 != sK7 )
| ~ spl0_38
| ~ spl0_50 ),
inference(constrained_superposition,[status(thm)],[f421,f496]) ).
thf(f3748,plain,
( spl0_189
| ~ spl0_38
| ~ spl0_50
| ~ spl0_93
| ~ spl0_120 ),
inference(avatar_split_clause,[status(thm)],[f3747,f1517,f1017,f495,f419,f3731]) ).
thf(f3747,plain,
( ( $false = sK66 )
| ~ spl0_38
| ~ spl0_50
| ~ spl0_93
| ~ spl0_120 ),
inference(subsumption_resolution,[status(thm)],[f3746,f1019]) ).
thf(f3746,plain,
( ( $false = sK66 )
| ( $true
!= ( sK6 @ $true ) )
| ~ spl0_38
| ~ spl0_50
| ~ spl0_120 ),
inference(forward_demodulation,[status(thm)],[f3707,f1519]) ).
thf(f3707,plain,
( ( $false = sK66 )
| ( ( sK6 @ $true )
!= ( sK7 @ $true ) )
| ~ spl0_38
| ~ spl0_50 ),
inference(fool_paramodulation,[status(thm)],[f3549]) ).
thf(f3720,plain,
( spl0_185
| spl0_186
| ~ spl0_38
| ~ spl0_50 ),
inference(avatar_split_clause,[status(thm)],[f3705,f495,f419,f3717,f3713]) ).
thf(f3705,plain,
( ( $true
= ( sK6 @ sK66 ) )
| ( $true
= ( sK7 @ sK66 ) )
| ~ spl0_38
| ~ spl0_50 ),
inference(binary_proxy_clausification,[status(thm)],[f3549]) ).
thf(f3582,plain,
( spl0_147
| ~ spl0_184
| ~ spl0_51
| ~ spl0_66 ),
inference(avatar_split_clause,[status(thm)],[f3577,f615,f499,f3579,f2000]) ).
thf(f3577,plain,
( ( sK3 != sK7 )
| ( ( eps4 @ sK3 )
= $false )
| ~ spl0_51
| ~ spl0_66 ),
inference(forward_demodulation,[status(thm)],[f3574,f616]) ).
thf(f3574,plain,
( ( ( eps4 @ sK3 )
= $false )
| ( sK9 != sK7 )
| ~ spl0_51
| ~ spl0_66 ),
inference(constrained_superposition,[status(thm)],[f501,f616]) ).
thf(f3481,plain,
( ~ spl0_2
| ~ spl0_17
| spl0_24
| ~ spl0_75
| ~ spl0_77 ),
inference(avatar_contradiction_clause,[status(thm)],[f3480]) ).
thf(f3480,plain,
( $false
| ~ spl0_2
| ~ spl0_17
| spl0_24
| ~ spl0_75
| ~ spl0_77 ),
inference(subsumption_resolution,[status(thm)],[f3479,f98]) ).
thf(f3479,plain,
( ( ( sK2 @ sK65 )
!= $false )
| ~ spl0_17
| spl0_24
| ~ spl0_75
| ~ spl0_77 ),
inference(forward_demodulation,[status(thm)],[f3468,f683]) ).
thf(f3468,plain,
( ( ( sK2 @ sK65 )
!= ( sK10 @ sK65 ) )
| ~ spl0_17
| spl0_24
| ~ spl0_77 ),
inference(negative_extensionality,[status(thm)],[f3234]) ).
thf(f3234,plain,
( ( sK10 != sK2 )
| ~ spl0_17
| spl0_24
| ~ spl0_77 ),
inference(forward_demodulation,[status(thm)],[f3233,f206]) ).
thf(f3233,plain,
( ( sK4 != sK10 )
| ~ spl0_17
| spl0_24
| ~ spl0_77 ),
inference(subsumption_resolution,[status(thm)],[f3230,f263]) ).
thf(f3230,plain,
( ( ( eps3 @ sK2 )
= $false )
| ( sK4 != sK10 )
| ~ spl0_17
| ~ spl0_77 ),
inference(constrained_superposition,[status(thm)],[f692,f206]) ).
thf(f3167,plain,
( spl0_134
| ~ spl0_81
| ~ spl0_132 ),
inference(avatar_split_clause,[status(thm)],[f3153,f1742,f730,f1766]) ).
thf(f3153,plain,
( ( ( eps5 @ sK2 )
= $true )
| ~ spl0_81
| ~ spl0_132 ),
inference(backward_demodulation,[status(thm)],[f732,f1743]) ).
thf(f3163,plain,
( ~ spl0_25
| ~ spl0_81
| ~ spl0_132 ),
inference(avatar_contradiction_clause,[status(thm)],[f3162]) ).
thf(f3162,plain,
( $false
| ~ spl0_25
| ~ spl0_81
| ~ spl0_132 ),
inference(trivial_inequality_removal,[status(thm)],[f3161]) ).
thf(f3161,plain,
( ( $true = $false )
| ~ spl0_25
| ~ spl0_81
| ~ spl0_132 ),
inference(forward_demodulation,[status(thm)],[f3153,f269]) ).
thf(f3146,plain,
( ~ spl0_25
| ~ spl0_32
| ~ spl0_128 ),
inference(avatar_contradiction_clause,[status(thm)],[f3145]) ).
thf(f3145,plain,
( $false
| ~ spl0_25
| ~ spl0_32
| ~ spl0_128 ),
inference(trivial_inequality_removal,[status(thm)],[f3144]) ).
thf(f3144,plain,
( ( $true = $false )
| ~ spl0_25
| ~ spl0_32
| ~ spl0_128 ),
inference(forward_demodulation,[status(thm)],[f3140,f269]) ).
thf(f3140,plain,
( ( ( eps5 @ sK2 )
= $true )
| ~ spl0_32
| ~ spl0_128 ),
inference(backward_demodulation,[status(thm)],[f337,f1722]) ).
thf(f3137,plain,
( ~ spl0_2
| ~ spl0_83
| spl0_132 ),
inference(avatar_contradiction_clause,[status(thm)],[f3136]) ).
thf(f3136,plain,
( $false
| ~ spl0_2
| ~ spl0_83
| spl0_132 ),
inference(subsumption_resolution,[status(thm)],[f3093,f98]) ).
thf(f3093,plain,
( ( ( sK2 @ $false )
!= $false )
| ~ spl0_2
| ~ spl0_83
| spl0_132 ),
inference(backward_demodulation,[status(thm)],[f2756,f3092]) ).
thf(f3092,plain,
( ( sK47 = $false )
| ~ spl0_2
| ~ spl0_83
| spl0_132 ),
inference(subsumption_resolution,[status(thm)],[f2790,f98]) ).
thf(f2790,plain,
( ( sK47 = $false )
| ( ( sK2 @ $true )
!= $false )
| ~ spl0_83
| spl0_132 ),
inference(fool_paramodulation,[status(thm)],[f2756]) ).
thf(f2756,plain,
( ( ( sK2 @ sK47 )
!= $false )
| ~ spl0_83
| spl0_132 ),
inference(backward_demodulation,[status(thm)],[f1798,f740]) ).
thf(f1798,plain,
( ( ( sK11 @ sK47 )
!= ( sK2 @ sK47 ) )
| spl0_132 ),
inference(negative_extensionality,[status(thm)],[f1744]) ).
thf(f3135,plain,
( ~ spl0_2
| ~ spl0_34
| spl0_128 ),
inference(avatar_contradiction_clause,[status(thm)],[f3134]) ).
thf(f3134,plain,
( $false
| ~ spl0_2
| ~ spl0_34
| spl0_128 ),
inference(subsumption_resolution,[status(thm)],[f3091,f98]) ).
thf(f3091,plain,
( ( ( sK2 @ $false )
!= $false )
| ~ spl0_2
| ~ spl0_34
| spl0_128 ),
inference(backward_demodulation,[status(thm)],[f1789,f3090]) ).
thf(f3090,plain,
( ( sK44 = $false )
| ~ spl0_2
| ~ spl0_34
| spl0_128 ),
inference(subsumption_resolution,[status(thm)],[f1808,f98]) ).
thf(f1808,plain,
( ( sK44 = $false )
| ( ( sK2 @ $true )
!= $false )
| ~ spl0_34
| spl0_128 ),
inference(fool_paramodulation,[status(thm)],[f1789]) ).
thf(f1789,plain,
( ( ( sK2 @ sK44 )
!= $false )
| ~ spl0_34
| spl0_128 ),
inference(forward_demodulation,[status(thm)],[f1785,f345]) ).
thf(f1785,plain,
( ( ( sK2 @ sK44 )
!= ( sK5 @ sK44 ) )
| spl0_128 ),
inference(negative_extensionality,[status(thm)],[f1723]) ).
thf(f3010,plain,
( ~ spl0_5
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[status(thm)],[f3009]) ).
thf(f3009,plain,
( $false
| ~ spl0_5
| ~ spl0_7 ),
inference(trivial_inequality_removal,[status(thm)],[f3008]) ).
thf(f3008,plain,
( ( $true = $false )
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f121,f112]) ).
thf(f2763,plain,
( ~ spl0_163
| ~ spl0_83
| spl0_85 ),
inference(avatar_split_clause,[status(thm)],[f2762,f748,f739,f2697]) ).
thf(f2762,plain,
( ( ( sK3 @ sK48 )
!= $false )
| ~ spl0_83
| spl0_85 ),
inference(forward_demodulation,[status(thm)],[f2019,f740]) ).
thf(f2019,plain,
( ( ( sK3 @ sK48 )
!= ( sK11 @ sK48 ) )
| spl0_85 ),
inference(negative_extensionality,[status(thm)],[f750]) ).
thf(f2569,plain,
( ~ spl0_1
| ~ spl0_6
| spl0_61
| ~ spl0_87
| ~ spl0_109
| ~ spl0_158 ),
inference(avatar_contradiction_clause,[status(thm)],[f2568]) ).
thf(f2568,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| spl0_61
| ~ spl0_87
| ~ spl0_109
| ~ spl0_158 ),
inference(subsumption_resolution,[status(thm)],[f2567,f1325]) ).
thf(f2567,plain,
( ( $true
!= ( sK2 @ $false ) )
| ~ spl0_1
| ~ spl0_6
| spl0_61
| ~ spl0_87
| ~ spl0_158 ),
inference(forward_demodulation,[status(thm)],[f2566,f2561]) ).
thf(f2561,plain,
( ( sK43 = $false )
| ~ spl0_1
| ~ spl0_6
| spl0_61
| ~ spl0_158 ),
inference(subsumption_resolution,[status(thm)],[f2560,f285]) ).
thf(f285,plain,
( ( $true
= ( sK2 @ $true ) )
| ~ spl0_1
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f95,f117]) ).
thf(f95,plain,
( ( $true
= ( sK2 @ ( eps2 @ sK2 ) ) )
| ~ spl0_1 ),
inference(avatar_component_clause,[status(thm)],[f93]) ).
thf(f2560,plain,
( ( $true
!= ( sK2 @ $true ) )
| ( sK43 = $false )
| spl0_61
| ~ spl0_158 ),
inference(forward_demodulation,[status(thm)],[f2541,f2365]) ).
thf(f2541,plain,
( ( sK43 = $false )
| ( ( sK2 @ $true )
!= ( sK8 @ $true ) )
| spl0_61 ),
inference(fool_paramodulation,[status(thm)],[f1781]) ).
thf(f1781,plain,
( ( ( sK8 @ sK43 )
!= ( sK2 @ sK43 ) )
| spl0_61 ),
inference(negative_extensionality,[status(thm)],[f572]) ).
thf(f2566,plain,
( ( $true
!= ( sK2 @ sK43 ) )
| ~ spl0_1
| ~ spl0_6
| spl0_61
| ~ spl0_87
| ~ spl0_158 ),
inference(subsumption_resolution,[status(thm)],[f2545,f2561]) ).
thf(f2545,plain,
( ( sK43 != $false )
| ( $true
!= ( sK2 @ sK43 ) )
| spl0_61
| ~ spl0_87 ),
inference(constrained_superposition,[status(thm)],[f1781,f855]) ).
thf(f2432,plain,
( ~ spl0_89
| ~ spl0_158 ),
inference(avatar_contradiction_clause,[status(thm)],[f2431]) ).
thf(f2431,plain,
( $false
| ~ spl0_89
| ~ spl0_158 ),
inference(trivial_inequality_removal,[status(thm)],[f2430]) ).
thf(f2430,plain,
( ( $true = $false )
| ~ spl0_89
| ~ spl0_158 ),
inference(backward_demodulation,[status(thm)],[f2365,f873]) ).
thf(f873,plain,
( ( ( sK8 @ $true )
= $false )
| ~ spl0_89 ),
inference(avatar_component_clause,[status(thm)],[f872]) ).
thf(f872,definition,
( spl0_89
<=> ( ( sK8 @ $true )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_89])],[avatar_definition]) ).
thf(f2424,plain,
( spl0_89
| ~ spl0_87
| ~ spl0_154 ),
inference(avatar_split_clause,[status(thm)],[f2423,f2326,f853,f872]) ).
thf(f2326,definition,
( spl0_154
<=> ( ( sK8 @ sK25 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_154])],[avatar_definition]) ).
thf(f2423,plain,
( ( ( sK8 @ $true )
= $false )
| ~ spl0_87
| ~ spl0_154 ),
inference(subsumption_resolution,[status(thm)],[f2405,f2418]) ).
thf(f2418,plain,
( ( sK25 != $false )
| ~ spl0_87
| ~ spl0_154 ),
inference(trivial_inequality_removal,[status(thm)],[f2408]) ).
thf(f2408,plain,
( ( $true = $false )
| ( sK25 != $false )
| ~ spl0_87
| ~ spl0_154 ),
inference(constrained_superposition,[status(thm)],[f2328,f855]) ).
thf(f2328,plain,
( ( ( sK8 @ sK25 )
= $false )
| ~ spl0_154 ),
inference(avatar_component_clause,[status(thm)],[f2326]) ).
thf(f2405,plain,
( ( ( sK8 @ $true )
= $false )
| ( sK25 = $false )
| ~ spl0_154 ),
inference(fool_paramodulation,[status(thm)],[f2328]) ).
thf(f2386,plain,
( ~ spl0_55
| ~ spl0_58 ),
inference(avatar_contradiction_clause,[status(thm)],[f2385]) ).
thf(f2385,plain,
( $false
| ~ spl0_55
| ~ spl0_58 ),
inference(trivial_inequality_removal,[status(thm)],[f2384]) ).
thf(f2384,plain,
( ( $true = $false )
| ~ spl0_55
| ~ spl0_58 ),
inference(forward_demodulation,[status(thm)],[f559,f545]) ).
thf(f2369,plain,
( spl0_59
| spl0_158
| ~ spl0_57 ),
inference(avatar_split_clause,[status(thm)],[f914,f552,f2363,f562]) ).
thf(f914,plain,
( ! [X1: $o] :
( ( $true
= ( sK8 @ $true ) )
| ( ( sK8 @ X1 )
= $false ) )
| ~ spl0_57 ),
inference(forward_demodulation,[status(thm)],[f904,f553]) ).
thf(f904,plain,
! [X1: $o] :
( ( $true
= ( sK8 @ ( eps1 @ sK8 ) ) )
| ( ( sK8 @ X1 )
= $false ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f2368,plain,
( spl0_154
| ~ spl0_39
| spl0_56
| ~ spl0_156 ),
inference(avatar_split_clause,[status(thm)],[f2367,f2335,f547,f423,f2326]) ).
thf(f2367,plain,
( ( ( sK8 @ sK25 )
= $false )
| ~ spl0_39
| spl0_56
| ~ spl0_156 ),
inference(subsumption_resolution,[status(thm)],[f2322,f2337]) ).
thf(f2322,plain,
( ( $true
!= ( sK6 @ sK25 ) )
| ( ( sK8 @ sK25 )
= $false )
| ~ spl0_39
| spl0_56 ),
inference(fool_paramodulation,[status(thm)],[f891]) ).
thf(f891,plain,
( ( ( sK6 @ sK25 )
!= ( sK8 @ sK25 ) )
| ~ spl0_39
| spl0_56 ),
inference(negative_extensionality,[status(thm)],[f888]) ).
thf(f888,plain,
( ( sK8 != sK6 )
| ~ spl0_39
| spl0_56 ),
inference(trivial_inequality_removal,[status(thm)],[f886]) ).
thf(f886,plain,
( ( sK8 != sK6 )
| ( $false != $false )
| ~ spl0_39
| spl0_56 ),
inference(constrained_superposition,[status(thm)],[f548,f425]) ).
thf(f2361,plain,
( ~ spl0_39
| spl0_56
| ~ spl0_57
| ~ spl0_62
| ~ spl0_87
| ~ spl0_92
| ~ spl0_93 ),
inference(avatar_contradiction_clause,[status(thm)],[f2360]) ).
thf(f2360,plain,
( $false
| ~ spl0_39
| spl0_56
| ~ spl0_57
| ~ spl0_62
| ~ spl0_87
| ~ spl0_92
| ~ spl0_93 ),
inference(subsumption_resolution,[status(thm)],[f2359,f1011]) ).
thf(f2359,plain,
( ( ( sK6 @ $false )
!= $true )
| ~ spl0_39
| spl0_56
| ~ spl0_57
| ~ spl0_62
| ~ spl0_87
| ~ spl0_93 ),
inference(forward_demodulation,[status(thm)],[f2358,f2344]) ).
thf(f2344,plain,
( ( sK25 = $false )
| ~ spl0_39
| spl0_56
| ~ spl0_57
| ~ spl0_62
| ~ spl0_93 ),
inference(subsumption_resolution,[status(thm)],[f2343,f1019]) ).
thf(f2343,plain,
( ( $true
!= ( sK6 @ $true ) )
| ( sK25 = $false )
| ~ spl0_39
| spl0_56
| ~ spl0_57
| ~ spl0_62 ),
inference(forward_demodulation,[status(thm)],[f2321,f850]) ).
thf(f850,plain,
( ( $true
= ( sK8 @ $true ) )
| ~ spl0_57
| ~ spl0_62 ),
inference(forward_demodulation,[status(thm)],[f577,f553]) ).
thf(f577,plain,
( ( $true
= ( sK8 @ ( eps1 @ sK8 ) ) )
| ~ spl0_62 ),
inference(avatar_component_clause,[status(thm)],[f575]) ).
thf(f2321,plain,
( ( sK25 = $false )
| ( ( sK6 @ $true )
!= ( sK8 @ $true ) )
| ~ spl0_39
| spl0_56 ),
inference(fool_paramodulation,[status(thm)],[f891]) ).
thf(f2358,plain,
( ( $true
!= ( sK6 @ sK25 ) )
| ~ spl0_39
| spl0_56
| ~ spl0_57
| ~ spl0_62
| ~ spl0_87
| ~ spl0_93 ),
inference(subsumption_resolution,[status(thm)],[f2323,f2344]) ).
thf(f2323,plain,
( ( sK25 != $false )
| ( $true
!= ( sK6 @ sK25 ) )
| ~ spl0_39
| spl0_56
| ~ spl0_87 ),
inference(constrained_superposition,[status(thm)],[f891,f855]) ).
thf(f2342,plain,
( spl0_156
| spl0_157
| ~ spl0_39
| spl0_56 ),
inference(avatar_split_clause,[status(thm)],[f2319,f547,f423,f2339,f2335]) ).
thf(f2319,plain,
( ( $true
= ( sK6 @ sK25 ) )
| ( $true
= ( sK8 @ sK25 ) )
| ~ spl0_39
| spl0_56 ),
inference(binary_proxy_clausification,[status(thm)],[f891]) ).
thf(f2231,plain,
( ~ spl0_71
| ~ spl0_78
| ~ spl0_112 ),
inference(avatar_contradiction_clause,[status(thm)],[f2230]) ).
thf(f2230,plain,
( $false
| ~ spl0_71
| ~ spl0_78
| ~ spl0_112 ),
inference(trivial_inequality_removal,[status(thm)],[f2229]) ).
thf(f2229,plain,
( ( $true = $false )
| ~ spl0_71
| ~ spl0_78
| ~ spl0_112 ),
inference(forward_demodulation,[status(thm)],[f2124,f1453]) ).
thf(f1453,plain,
( ( ( sK10 @ $true )
= $false )
| ~ spl0_112 ),
inference(avatar_component_clause,[status(thm)],[f1452]) ).
thf(f1452,definition,
( spl0_112
<=> ( ( sK10 @ $true )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_112])],[avatar_definition]) ).
thf(f2124,plain,
( ( $true
= ( sK10 @ $true ) )
| ~ spl0_71
| ~ spl0_78 ),
inference(backward_demodulation,[status(thm)],[f698,f666]) ).
thf(f2221,plain,
( spl0_152
| spl0_112
| ~ spl0_148 ),
inference(avatar_split_clause,[status(thm)],[f2220,f2066,f1452,f2170]) ).
thf(f2220,plain,
( ( sK19 = $false )
| spl0_112
| ~ spl0_148 ),
inference(subsumption_resolution,[status(thm)],[f2205,f1454]) ).
thf(f1454,plain,
( ( ( sK10 @ $true )
!= $false )
| spl0_112 ),
inference(avatar_component_clause,[status(thm)],[f1452]) ).
thf(f2205,plain,
( ( sK19 = $false )
| ( ( sK10 @ $true )
= $false )
| ~ spl0_148 ),
inference(fool_paramodulation,[status(thm)],[f2068]) ).
thf(f2187,plain,
( ~ spl0_148
| ~ spl0_150 ),
inference(avatar_contradiction_clause,[status(thm)],[f2186]) ).
thf(f2186,plain,
( $false
| ~ spl0_148
| ~ spl0_150 ),
inference(trivial_inequality_removal,[status(thm)],[f2185]) ).
thf(f2185,plain,
( ( $true = $false )
| ~ spl0_148
| ~ spl0_150 ),
inference(backward_demodulation,[status(thm)],[f2077,f2068]) ).
thf(f2184,plain,
( ~ spl0_9
| ~ spl0_12
| ~ spl0_45 ),
inference(avatar_contradiction_clause,[status(thm)],[f2183]) ).
thf(f2183,plain,
( $false
| ~ spl0_9
| ~ spl0_12
| ~ spl0_45 ),
inference(trivial_inequality_removal,[status(thm)],[f2182]) ).
thf(f2182,plain,
( ( $true = $false )
| ~ spl0_9
| ~ spl0_12
| ~ spl0_45 ),
inference(backward_demodulation,[status(thm)],[f406,f468]) ).
thf(f2168,plain,
( ~ spl0_37
| spl0_45
| ~ spl0_149 ),
inference(avatar_contradiction_clause,[status(thm)],[f2167]) ).
thf(f2167,plain,
( $false
| ~ spl0_37
| spl0_45
| ~ spl0_149 ),
inference(subsumption_resolution,[status(thm)],[f2143,f2151]) ).
thf(f2151,plain,
( ( sK19 = $false )
| spl0_45
| ~ spl0_149 ),
inference(subsumption_resolution,[status(thm)],[f2134,f469]) ).
thf(f2134,plain,
( ( ( sK3 @ $true )
= $false )
| ( sK19 = $false )
| ~ spl0_149 ),
inference(fool_paramodulation,[status(thm)],[f2072]) ).
thf(f2072,plain,
( ( ( sK3 @ sK19 )
= $false )
| ~ spl0_149 ),
inference(avatar_component_clause,[status(thm)],[f2070]) ).
thf(f2070,definition,
( spl0_149
<=> ( ( sK3 @ sK19 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_149])],[avatar_definition]) ).
thf(f2143,plain,
( ( sK19 != $false )
| ~ spl0_37
| ~ spl0_149 ),
inference(trivial_inequality_removal,[status(thm)],[f2137]) ).
thf(f2137,plain,
( ( $true = $false )
| ( sK19 != $false )
| ~ spl0_37
| ~ spl0_149 ),
inference(constrained_superposition,[status(thm)],[f2072,f375]) ).
thf(f2108,plain,
( spl0_65
| ~ spl0_66
| ~ spl0_73
| ~ spl0_76 ),
inference(avatar_contradiction_clause,[status(thm)],[f2107]) ).
thf(f2107,plain,
( $false
| spl0_65
| ~ spl0_66
| ~ spl0_73
| ~ spl0_76 ),
inference(subsumption_resolution,[status(thm)],[f2104,f1884]) ).
thf(f2104,plain,
( ( $false
= ( eps2 @ sK3 ) )
| ~ spl0_73
| ~ spl0_76 ),
inference(backward_demodulation,[status(thm)],[f688,f674]) ).
thf(f2098,plain,
( ~ spl0_9
| ~ spl0_12
| ~ spl0_37
| spl0_73
| ~ spl0_76
| ~ spl0_78
| ~ spl0_110 ),
inference(avatar_contradiction_clause,[status(thm)],[f2097]) ).
thf(f2097,plain,
( $false
| ~ spl0_9
| ~ spl0_12
| ~ spl0_37
| spl0_73
| ~ spl0_76
| ~ spl0_78
| ~ spl0_110 ),
inference(subsumption_resolution,[status(thm)],[f2096,f375]) ).
thf(f2096,plain,
( ( ( sK3 @ $false )
!= $true )
| ~ spl0_9
| ~ spl0_12
| spl0_73
| ~ spl0_76
| ~ spl0_78
| ~ spl0_110 ),
inference(forward_demodulation,[status(thm)],[f2095,f2084]) ).
thf(f2084,plain,
( ( sK19 = $false )
| ~ spl0_9
| ~ spl0_12
| spl0_73
| ~ spl0_110 ),
inference(subsumption_resolution,[status(thm)],[f2083,f1342]) ).
thf(f2083,plain,
( ( sK19 = $false )
| ( $true
!= ( sK10 @ $true ) )
| ~ spl0_9
| ~ spl0_12
| spl0_73 ),
inference(forward_demodulation,[status(thm)],[f2061,f406]) ).
thf(f2061,plain,
( ( sK19 = $false )
| ( ( sK10 @ $true )
!= ( sK3 @ $true ) )
| spl0_73 ),
inference(fool_paramodulation,[status(thm)],[f705]) ).
thf(f705,plain,
( ( ( sK10 @ sK19 )
!= ( sK3 @ sK19 ) )
| spl0_73 ),
inference(negative_extensionality,[status(thm)],[f675]) ).
thf(f675,plain,
( ( sK10 != sK3 )
| spl0_73 ),
inference(avatar_component_clause,[status(thm)],[f673]) ).
thf(f2095,plain,
( ( $true
!= ( sK3 @ sK19 ) )
| ~ spl0_9
| ~ spl0_12
| spl0_73
| ~ spl0_76
| ~ spl0_78
| ~ spl0_110 ),
inference(subsumption_resolution,[status(thm)],[f2063,f2084]) ).
thf(f2063,plain,
( ( $true
!= ( sK3 @ sK19 ) )
| ( sK19 != $false )
| spl0_73
| ~ spl0_76
| ~ spl0_78 ),
inference(constrained_superposition,[status(thm)],[f705,f1355]) ).
thf(f1355,plain,
( ( ( sK10 @ $false )
= $true )
| ~ spl0_76
| ~ spl0_78 ),
inference(forward_demodulation,[status(thm)],[f698,f688]) ).
thf(f2082,plain,
( spl0_150
| spl0_151
| spl0_73 ),
inference(avatar_split_clause,[status(thm)],[f2059,f673,f2079,f2075]) ).
thf(f2059,plain,
( ( ( sK10 @ sK19 )
= $true )
| ( $true
= ( sK3 @ sK19 ) )
| spl0_73 ),
inference(binary_proxy_clausification,[status(thm)],[f705]) ).
thf(f2073,plain,
( spl0_148
| spl0_149
| spl0_73 ),
inference(avatar_split_clause,[status(thm)],[f2060,f673,f2070,f2066]) ).
thf(f2060,plain,
( ( ( sK10 @ sK19 )
= $false )
| ( ( sK3 @ sK19 )
= $false )
| spl0_73 ),
inference(binary_proxy_clausification,[status(thm)],[f705]) ).
thf(f1996,plain,
( ~ spl0_143
| ~ spl0_146
| ~ spl0_21
| spl0_56
| ~ spl0_66 ),
inference(avatar_split_clause,[status(thm)],[f1995,f615,f547,f222,f1983,f1965]) ).
thf(f1995,plain,
( ( sK4 != sK3 )
| ( sK8 != sK3 )
| ~ spl0_21
| spl0_56
| ~ spl0_66 ),
inference(forward_demodulation,[status(thm)],[f1947,f616]) ).
thf(f1947,plain,
( ( sK9 != sK8 )
| ( sK4 != sK3 )
| ~ spl0_21
| spl0_56
| ~ spl0_66 ),
inference(constrained_superposition,[status(thm)],[f889,f616]) ).
thf(f889,plain,
( ( sK4 != sK8 )
| ~ spl0_21
| spl0_56 ),
inference(trivial_inequality_removal,[status(thm)],[f887]) ).
thf(f887,plain,
( ( $false != $false )
| ( sK4 != sK8 )
| ~ spl0_21
| spl0_56 ),
inference(constrained_superposition,[status(thm)],[f548,f224]) ).
thf(f1980,plain,
( ~ spl0_143
| ~ spl0_145
| spl0_56
| ~ spl0_66 ),
inference(avatar_split_clause,[status(thm)],[f1975,f615,f547,f1977,f1965]) ).
thf(f1975,plain,
( ( sK8 != sK3 )
| ( $false
!= ( eps1 @ sK3 ) )
| spl0_56
| ~ spl0_66 ),
inference(forward_demodulation,[status(thm)],[f1936,f616]) ).
thf(f1936,plain,
( ( $false
!= ( eps1 @ sK3 ) )
| ( sK9 != sK8 )
| spl0_56
| ~ spl0_66 ),
inference(constrained_superposition,[status(thm)],[f548,f616]) ).
thf(f1968,plain,
( ~ spl0_142
| ~ spl0_143
| ~ spl0_39
| spl0_56
| ~ spl0_66 ),
inference(avatar_split_clause,[status(thm)],[f1959,f615,f547,f423,f1965,f1961]) ).
thf(f1959,plain,
( ( sK8 != sK3 )
| ( sK3 != sK6 )
| ~ spl0_39
| spl0_56
| ~ spl0_66 ),
inference(forward_demodulation,[status(thm)],[f1946,f616]) ).
thf(f1946,plain,
( ( sK3 != sK6 )
| ( sK9 != sK8 )
| ~ spl0_39
| spl0_56
| ~ spl0_66 ),
inference(constrained_superposition,[status(thm)],[f888,f616]) ).
thf(f1893,plain,
( spl0_138
| spl0_139 ),
inference(avatar_split_clause,[status(thm)],[f1892,f1844,f1839]) ).
thf(f1892,plain,
( ( sK18 = $false )
| spl0_139 ),
inference(trivial_inequality_removal,[status(thm)],[f1891]) ).
thf(f1891,plain,
( ( sK18 = $false )
| ( $true != $true )
| spl0_139 ),
inference(fool_paramodulation,[status(thm)],[f1846]) ).
thf(f1846,plain,
( ( $true != sK18 )
| spl0_139 ),
inference(avatar_component_clause,[status(thm)],[f1844]) ).
thf(f1878,plain,
( ~ spl0_32
| ~ spl0_34
| ~ spl0_64
| ~ spl0_68 ),
inference(avatar_contradiction_clause,[status(thm)],[f1877]) ).
thf(f1877,plain,
( $false
| ~ spl0_32
| ~ spl0_34
| ~ spl0_64
| ~ spl0_68 ),
inference(trivial_inequality_removal,[status(thm)],[f1875]) ).
thf(f1875,plain,
( ( $false != $false )
| ~ spl0_32
| ~ spl0_34
| ~ spl0_64
| ~ spl0_68 ),
inference(superposition,[status(thm)],[f1612,f626]) ).
thf(f1612,plain,
( ( $false
!= ( sK9 @ sK42 ) )
| ~ spl0_32
| ~ spl0_34
| ~ spl0_64 ),
inference(forward_demodulation,[status(thm)],[f1611,f345]) ).
thf(f1611,plain,
( ( ( sK5 @ sK42 )
!= ( sK9 @ sK42 ) )
| ~ spl0_32
| ~ spl0_64 ),
inference(negative_extensionality,[status(thm)],[f1608]) ).
thf(f1608,plain,
( ( sK9 != sK5 )
| ~ spl0_32
| ~ spl0_64 ),
inference(trivial_inequality_removal,[status(thm)],[f1598]) ).
thf(f1598,plain,
( ( sK9 != sK5 )
| ( $true = $false )
| ~ spl0_32
| ~ spl0_64 ),
inference(constrained_superposition,[status(thm)],[f337,f607]) ).
thf(f1865,plain,
( ~ spl0_68
| ~ spl0_90 ),
inference(avatar_contradiction_clause,[status(thm)],[f1864]) ).
thf(f1864,plain,
( $false
| ~ spl0_68
| ~ spl0_90 ),
inference(trivial_inequality_removal,[status(thm)],[f1861]) ).
thf(f1861,plain,
( ( $true = $false )
| ~ spl0_68
| ~ spl0_90 ),
inference(backward_demodulation,[status(thm)],[f989,f626]) ).
thf(f1859,plain,
( ~ spl0_91
| ~ spl0_37
| spl0_66
| ~ spl0_138 ),
inference(avatar_split_clause,[status(thm)],[f1858,f1839,f615,f373,f993]) ).
thf(f1858,plain,
( ( $true
!= ( sK9 @ $false ) )
| ~ spl0_37
| spl0_66
| ~ spl0_138 ),
inference(forward_demodulation,[status(thm)],[f1857,f375]) ).
thf(f1857,plain,
( ( ( sK3 @ $false )
!= ( sK9 @ $false ) )
| spl0_66
| ~ spl0_138 ),
inference(backward_demodulation,[status(thm)],[f647,f1840]) ).
thf(f647,plain,
( ( ( sK3 @ sK18 )
!= ( sK9 @ sK18 ) )
| spl0_66 ),
inference(negative_extensionality,[status(thm)],[f617]) ).
thf(f1855,plain,
( spl0_138
| ~ spl0_9
| ~ spl0_12
| spl0_66
| ~ spl0_90 ),
inference(avatar_split_clause,[status(thm)],[f1854,f987,f615,f159,f146,f1839]) ).
thf(f1854,plain,
( ( sK18 = $false )
| ~ spl0_9
| ~ spl0_12
| spl0_66
| ~ spl0_90 ),
inference(subsumption_resolution,[status(thm)],[f1853,f406]) ).
thf(f1853,plain,
( ( $true
!= ( sK3 @ $true ) )
| ( sK18 = $false )
| spl0_66
| ~ spl0_90 ),
inference(forward_demodulation,[status(thm)],[f1821,f989]) ).
thf(f1821,plain,
( ( sK18 = $false )
| ( ( sK3 @ $true )
!= ( sK9 @ $true ) )
| spl0_66 ),
inference(fool_paramodulation,[status(thm)],[f647]) ).
thf(f1852,plain,
( spl0_140
| spl0_137
| spl0_66 ),
inference(avatar_split_clause,[status(thm)],[f1819,f615,f1835,f1849]) ).
thf(f1819,plain,
( ( $true
= ( sK3 @ sK18 ) )
| ( $true
= ( sK9 @ sK18 ) )
| spl0_66 ),
inference(binary_proxy_clausification,[status(thm)],[f647]) ).
thf(f1847,plain,
( ~ spl0_137
| ~ spl0_139
| spl0_66
| ~ spl0_90 ),
inference(avatar_split_clause,[status(thm)],[f1824,f987,f615,f1844,f1835]) ).
thf(f1824,plain,
( ( $true != sK18 )
| ( $true
!= ( sK3 @ sK18 ) )
| spl0_66
| ~ spl0_90 ),
inference(constrained_superposition,[status(thm)],[f647,f989]) ).
thf(f1738,plain,
( ~ spl0_130
| spl0_131
| ~ spl0_39
| ~ spl0_52 ),
inference(avatar_split_clause,[status(thm)],[f1729,f504,f423,f1735,f1731]) ).
thf(f1729,plain,
( ( ( eps1 @ sK2 )
= $false )
| ( sK6 != sK2 )
| ~ spl0_39
| ~ spl0_52 ),
inference(forward_demodulation,[status(thm)],[f1692,f505]) ).
thf(f1692,plain,
( ( ( eps1 @ sK2 )
= $false )
| ( sK6 != sK7 )
| ~ spl0_39
| ~ spl0_52 ),
inference(constrained_superposition,[status(thm)],[f425,f505]) ).
thf(f1672,plain,
( spl0_127
| spl0_124
| spl0_52 ),
inference(avatar_split_clause,[status(thm)],[f1636,f504,f1651,f1669]) ).
thf(f1636,plain,
( ( ( sK7 @ sK17 )
= $false )
| ( ( sK2 @ sK17 )
= $false )
| spl0_52 ),
inference(binary_proxy_clausification,[status(thm)],[f526]) ).
thf(f526,plain,
( ( ( sK2 @ sK17 )
!= ( sK7 @ sK17 ) )
| spl0_52 ),
inference(negative_extensionality,[status(thm)],[f506]) ).
thf(f506,plain,
( ( sK2 != sK7 )
| spl0_52 ),
inference(avatar_component_clause,[status(thm)],[f504]) ).
thf(f1649,plain,
( spl0_122
| spl0_123
| spl0_52 ),
inference(avatar_split_clause,[status(thm)],[f1635,f504,f1646,f1642]) ).
thf(f1635,plain,
( ( $true
= ( sK7 @ sK17 ) )
| ( ( sK2 @ sK17 )
= $true )
| spl0_52 ),
inference(binary_proxy_clausification,[status(thm)],[f526]) ).
thf(f1568,plain,
( ~ spl0_37
| ~ spl0_46
| spl0_115 ),
inference(avatar_contradiction_clause,[status(thm)],[f1567]) ).
thf(f1567,plain,
( $false
| ~ spl0_37
| ~ spl0_46
| spl0_115 ),
inference(subsumption_resolution,[status(thm)],[f1561,f375]) ).
thf(f1561,plain,
( ( ( sK3 @ $false )
!= $true )
| ~ spl0_46
| spl0_115 ),
inference(backward_demodulation,[status(thm)],[f1490,f473]) ).
thf(f473,plain,
( ( sK16 = $false )
| ~ spl0_46 ),
inference(avatar_component_clause,[status(thm)],[f471]) ).
thf(f1490,plain,
( ( $true
!= ( sK3 @ sK16 ) )
| spl0_115 ),
inference(avatar_component_clause,[status(thm)],[f1488]) ).
thf(f1488,definition,
( spl0_115
<=> ( $true
= ( sK3 @ sK16 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_115])],[avatar_definition]) ).
thf(f1560,plain,
( ~ spl0_117
| ~ spl0_119 ),
inference(avatar_contradiction_clause,[status(thm)],[f1559]) ).
thf(f1559,plain,
( $false
| ~ spl0_117
| ~ spl0_119 ),
inference(trivial_inequality_removal,[status(thm)],[f1558]) ).
thf(f1558,plain,
( ( $true = $false )
| ~ spl0_117
| ~ spl0_119 ),
inference(forward_demodulation,[status(thm)],[f1510,f1500]) ).
thf(f1510,plain,
( ( ( sK5 @ sK16 )
= $true )
| ~ spl0_119 ),
inference(avatar_component_clause,[status(thm)],[f1508]) ).
thf(f1508,definition,
( spl0_119
<=> ( ( sK5 @ sK16 )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl0_119])],[avatar_definition]) ).
thf(f1552,plain,
( spl0_121
| ~ spl0_32
| ~ spl0_36 ),
inference(avatar_split_clause,[status(thm)],[f1551,f354,f335,f1531]) ).
thf(f1551,plain,
( ( $true
= ( sK5 @ $true ) )
| ~ spl0_32
| ~ spl0_36 ),
inference(backward_demodulation,[status(thm)],[f356,f337]) ).
thf(f1546,plain,
( ~ spl0_34
| ~ spl0_101 ),
inference(avatar_contradiction_clause,[status(thm)],[f1545]) ).
thf(f1545,plain,
( $false
| ~ spl0_34
| ~ spl0_101 ),
inference(trivial_inequality_removal,[status(thm)],[f1541]) ).
thf(f1541,plain,
( ( $true = $false )
| ~ spl0_34
| ~ spl0_101 ),
inference(backward_demodulation,[status(thm)],[f1231,f345]) ).
thf(f1514,plain,
( spl0_46
| ~ spl0_9
| ~ spl0_12
| spl0_30
| ~ spl0_31
| ~ spl0_33 ),
inference(avatar_split_clause,[status(thm)],[f1513,f340,f331,f326,f159,f146,f471]) ).
thf(f1513,plain,
( ( sK16 = $false )
| ~ spl0_9
| ~ spl0_12
| spl0_30
| ~ spl0_31
| ~ spl0_33 ),
inference(subsumption_resolution,[status(thm)],[f1512,f406]) ).
thf(f1512,plain,
( ( sK16 = $false )
| ( $true
!= ( sK3 @ $true ) )
| spl0_30
| ~ spl0_31
| ~ spl0_33 ),
inference(forward_demodulation,[status(thm)],[f1483,f1233]) ).
thf(f1233,plain,
( ( $true
= ( sK5 @ $true ) )
| ~ spl0_31
| ~ spl0_33 ),
inference(forward_demodulation,[status(thm)],[f342,f333]) ).
thf(f342,plain,
( ( $true
= ( sK5 @ ( eps4 @ sK5 ) ) )
| ~ spl0_33 ),
inference(avatar_component_clause,[status(thm)],[f340]) ).
thf(f1483,plain,
( ( ( sK3 @ $true )
!= ( sK5 @ $true ) )
| ( sK16 = $false )
| spl0_30 ),
inference(fool_paramodulation,[status(thm)],[f460]) ).
thf(f460,plain,
( ( ( sK5 @ sK16 )
!= ( sK3 @ sK16 ) )
| spl0_30 ),
inference(negative_extensionality,[status(thm)],[f328]) ).
thf(f1511,plain,
( spl0_119
| spl0_115
| spl0_30 ),
inference(avatar_split_clause,[status(thm)],[f1481,f326,f1488,f1508]) ).
thf(f1481,plain,
( ( ( sK5 @ sK16 )
= $true )
| ( $true
= ( sK3 @ sK16 ) )
| spl0_30 ),
inference(binary_proxy_clausification,[status(thm)],[f460]) ).
thf(f1506,plain,
( spl0_117
| spl0_118
| spl0_30 ),
inference(avatar_split_clause,[status(thm)],[f1482,f326,f1503,f1498]) ).
thf(f1482,plain,
( ( ( sK3 @ sK16 )
= $false )
| ( ( sK5 @ sK16 )
= $false )
| spl0_30 ),
inference(binary_proxy_clausification,[status(thm)],[f460]) ).
thf(f1501,plain,
( spl0_117
| ~ spl0_115
| spl0_30 ),
inference(avatar_split_clause,[status(thm)],[f1484,f326,f1488,f1498]) ).
thf(f1484,plain,
( ( ( sK5 @ sK16 )
= $false )
| ( $true
!= ( sK3 @ sK16 ) )
| spl0_30 ),
inference(fool_paramodulation,[status(thm)],[f460]) ).
thf(f1496,plain,
( ~ spl0_115
| ~ spl0_46
| spl0_30
| ~ spl0_101 ),
inference(avatar_split_clause,[status(thm)],[f1486,f1229,f326,f471,f1488]) ).
thf(f1486,plain,
( ( $true
!= ( sK3 @ sK16 ) )
| ( sK16 != $false )
| spl0_30
| ~ spl0_101 ),
inference(constrained_superposition,[status(thm)],[f460,f1231]) ).
thf(f1403,plain,
( ~ spl0_79
| ~ spl0_81 ),
inference(avatar_contradiction_clause,[status(thm)],[f1402]) ).
thf(f1402,plain,
( $false
| ~ spl0_79
| ~ spl0_81 ),
inference(trivial_inequality_removal,[status(thm)],[f1401]) ).
thf(f1401,plain,
( ( $true = $false )
| ~ spl0_79
| ~ spl0_81 ),
inference(forward_demodulation,[status(thm)],[f732,f723]) ).
thf(f1397,plain,
( ~ spl0_18
| ~ spl0_21
| ~ spl0_80
| ~ spl0_83 ),
inference(avatar_contradiction_clause,[status(thm)],[f1396]) ).
thf(f1396,plain,
( $false
| ~ spl0_18
| ~ spl0_21
| ~ spl0_80
| ~ spl0_83 ),
inference(trivial_inequality_removal,[status(thm)],[f1394]) ).
thf(f1394,plain,
( ( $false != $false )
| ~ spl0_18
| ~ spl0_21
| ~ spl0_80
| ~ spl0_83 ),
inference(superposition,[status(thm)],[f1136,f211]) ).
thf(f1136,plain,
( ( ( sK4 @ sK35 )
!= $false )
| ~ spl0_21
| ~ spl0_80
| ~ spl0_83 ),
inference(forward_demodulation,[status(thm)],[f1135,f740]) ).
thf(f1135,plain,
( ( ( sK4 @ sK35 )
!= ( sK11 @ sK35 ) )
| ~ spl0_21
| ~ spl0_80 ),
inference(negative_extensionality,[status(thm)],[f1132]) ).
thf(f1132,plain,
( ( sK11 != sK4 )
| ~ spl0_21
| ~ spl0_80 ),
inference(trivial_inequality_removal,[status(thm)],[f1125]) ).
thf(f1125,plain,
( ( sK11 != sK4 )
| ( $true = $false )
| ~ spl0_21
| ~ spl0_80 ),
inference(constrained_superposition,[status(thm)],[f726,f224]) ).
thf(f1347,plain,
( ~ spl0_18
| ~ spl0_94 ),
inference(avatar_contradiction_clause,[status(thm)],[f1346]) ).
thf(f1346,plain,
( $false
| ~ spl0_18
| ~ spl0_94 ),
inference(trivial_inequality_removal,[status(thm)],[f1344]) ).
thf(f1344,plain,
( ( $true = $false )
| ~ spl0_18
| ~ spl0_94 ),
inference(backward_demodulation,[status(thm)],[f1039,f211]) ).
thf(f1329,plain,
( ~ spl0_109
| spl0_17
| ~ spl0_28
| ~ spl0_108 ),
inference(avatar_split_clause,[status(thm)],[f1328,f1302,f307,f205,f1323]) ).
thf(f1328,plain,
( ( $true
!= ( sK2 @ $false ) )
| spl0_17
| ~ spl0_28
| ~ spl0_108 ),
inference(forward_demodulation,[status(thm)],[f1307,f1318]) ).
thf(f1318,plain,
( ( $true
= ( sK4 @ $false ) )
| ~ spl0_28
| ~ spl0_108 ),
inference(forward_demodulation,[status(thm)],[f1304,f309]) ).
thf(f1304,plain,
( ( $true
= ( sK4 @ sK14 ) )
| ~ spl0_108 ),
inference(avatar_component_clause,[status(thm)],[f1302]) ).
thf(f1307,plain,
( ( ( sK4 @ $false )
!= ( sK2 @ $false ) )
| spl0_17
| ~ spl0_28 ),
inference(backward_demodulation,[status(thm)],[f296,f309]) ).
thf(f296,plain,
( ( ( sK2 @ sK14 )
!= ( sK4 @ sK14 ) )
| spl0_17 ),
inference(negative_extensionality,[status(thm)],[f207]) ).
thf(f207,plain,
( ( sK4 != sK2 )
| spl0_17 ),
inference(avatar_component_clause,[status(thm)],[f205]) ).
thf(f1326,plain,
( spl0_109
| spl0_2
| ~ spl0_5 ),
inference(avatar_split_clause,[status(thm)],[f289,f110,f97,f1323]) ).
thf(f289,plain,
( ! [X1: $o] :
( ( $true
= ( sK2 @ $false ) )
| ( ( sK2 @ X1 )
= $false ) )
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f131,f112]) ).
thf(f131,plain,
! [X1: $o] :
( ( ( sK2 @ X1 )
= $false )
| ( $true
= ( sK2 @ ( eps4 @ sK2 ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f1299,plain,
( spl0_28
| ~ spl0_1
| ~ spl0_6
| spl0_17
| ~ spl0_94 ),
inference(avatar_split_clause,[status(thm)],[f1298,f1037,f205,f115,f93,f307]) ).
thf(f1298,plain,
( ( sK14 = $false )
| ~ spl0_1
| ~ spl0_6
| spl0_17
| ~ spl0_94 ),
inference(subsumption_resolution,[status(thm)],[f1297,f285]) ).
thf(f1297,plain,
( ( sK14 = $false )
| ( $true
!= ( sK2 @ $true ) )
| spl0_17
| ~ spl0_94 ),
inference(forward_demodulation,[status(thm)],[f1275,f1039]) ).
thf(f1275,plain,
( ( ( sK2 @ $true )
!= ( sK4 @ $true ) )
| ( sK14 = $false )
| spl0_17 ),
inference(fool_paramodulation,[status(thm)],[f296]) ).
thf(f1287,plain,
( ~ spl0_104
| ~ spl0_105
| spl0_17
| ~ spl0_94 ),
inference(avatar_split_clause,[status(thm)],[f1277,f1037,f205,f1284,f1280]) ).
thf(f1277,plain,
( ( $true
!= ( sK2 @ sK14 ) )
| ( $true != sK14 )
| spl0_17
| ~ spl0_94 ),
inference(constrained_superposition,[status(thm)],[f296,f1039]) ).
thf(f1226,plain,
( ~ spl0_31
| ~ spl0_34
| ~ spl0_48
| ~ spl0_51 ),
inference(avatar_contradiction_clause,[status(thm)],[f1225]) ).
thf(f1225,plain,
( $false
| ~ spl0_31
| ~ spl0_34
| ~ spl0_48
| ~ spl0_51 ),
inference(subsumption_resolution,[status(thm)],[f1224,f345]) ).
thf(f1224,plain,
( ( ( sK5 @ sK38 )
!= $false )
| ~ spl0_31
| ~ spl0_48
| ~ spl0_51 ),
inference(forward_demodulation,[status(thm)],[f1223,f487]) ).
thf(f1223,plain,
( ( ( sK5 @ sK38 )
!= ( sK7 @ sK38 ) )
| ~ spl0_31
| ~ spl0_51 ),
inference(negative_extensionality,[status(thm)],[f1222]) ).
thf(f1222,plain,
( ( sK5 != sK7 )
| ~ spl0_31
| ~ spl0_51 ),
inference(trivial_inequality_removal,[status(thm)],[f1216]) ).
thf(f1216,plain,
( ( $true = $false )
| ( sK5 != sK7 )
| ~ spl0_31
| ~ spl0_51 ),
inference(constrained_superposition,[status(thm)],[f501,f333]) ).
thf(f1205,plain,
( ~ spl0_71
| ~ spl0_76 ),
inference(avatar_contradiction_clause,[status(thm)],[f1204]) ).
thf(f1204,plain,
( $false
| ~ spl0_71
| ~ spl0_76 ),
inference(trivial_inequality_removal,[status(thm)],[f1203]) ).
thf(f1203,plain,
( ( $true = $false )
| ~ spl0_71
| ~ spl0_76 ),
inference(forward_demodulation,[status(thm)],[f666,f688]) ).
thf(f1200,plain,
( ~ spl0_48
| ~ spl0_53
| ~ spl0_75
| spl0_77 ),
inference(avatar_contradiction_clause,[status(thm)],[f1199]) ).
thf(f1199,plain,
( $false
| ~ spl0_48
| ~ spl0_53
| ~ spl0_75
| spl0_77 ),
inference(subsumption_resolution,[status(thm)],[f1198,f487]) ).
thf(f1198,plain,
( ( ( sK7 @ sK37 )
!= $false )
| ~ spl0_53
| ~ spl0_75
| spl0_77 ),
inference(forward_demodulation,[status(thm)],[f1197,f683]) ).
thf(f1197,plain,
( ( ( sK7 @ sK37 )
!= ( sK10 @ sK37 ) )
| ~ spl0_53
| spl0_77 ),
inference(negative_extensionality,[status(thm)],[f1193]) ).
thf(f1193,plain,
( ( sK10 != sK7 )
| ~ spl0_53
| spl0_77 ),
inference(trivial_inequality_removal,[status(thm)],[f1184]) ).
thf(f1184,plain,
( ( sK10 != sK7 )
| ( $false != $false )
| ~ spl0_53
| spl0_77 ),
inference(constrained_superposition,[status(thm)],[f691,f509]) ).
thf(f1030,plain,
( ~ spl0_72
| ~ spl0_77 ),
inference(avatar_contradiction_clause,[status(thm)],[f1029]) ).
thf(f1029,plain,
( $false
| ~ spl0_72
| ~ spl0_77 ),
inference(trivial_inequality_removal,[status(thm)],[f1028]) ).
thf(f1028,plain,
( ( $true = $false )
| ~ spl0_72
| ~ spl0_77 ),
inference(backward_demodulation,[status(thm)],[f670,f692]) ).
thf(f1024,plain,
( spl0_41
| spl0_92
| ~ spl0_39 ),
inference(avatar_split_clause,[status(thm)],[f1023,f423,f1009,f432]) ).
thf(f1023,plain,
( ! [X1: $o] :
( ( ( sK6 @ $false )
= $true )
| ( ( sK6 @ X1 )
= $false ) )
| ~ spl0_39 ),
inference(forward_demodulation,[status(thm)],[f815,f425]) ).
thf(f815,plain,
! [X1: $o] :
( ( $true
= ( sK6 @ ( eps1 @ sK6 ) ) )
| ( ( sK6 @ X1 )
= $false ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f1012,plain,
( spl0_92
| spl0_41
| ~ spl0_39 ),
inference(avatar_split_clause,[status(thm)],[f1007,f423,f432,f1009]) ).
thf(f1007,plain,
( ! [X1: $o] :
( ( ( sK6 @ X1 )
= $false )
| ( ( sK6 @ $false )
= $true ) )
| ~ spl0_39 ),
inference(forward_demodulation,[status(thm)],[f795,f425]) ).
thf(f795,plain,
! [X1: $o] :
( ( $true
= ( sK6 @ ( eps1 @ sK6 ) ) )
| ( ( sK6 @ X1 )
= $false ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f1006,plain,
( ~ spl0_15
| ~ spl0_18
| ~ spl0_75
| ~ spl0_76 ),
inference(avatar_contradiction_clause,[status(thm)],[f1005]) ).
thf(f1005,plain,
( $false
| ~ spl0_15
| ~ spl0_18
| ~ spl0_75
| ~ spl0_76 ),
inference(subsumption_resolution,[status(thm)],[f1004,f683]) ).
thf(f1004,plain,
( ( ( sK10 @ sK30 )
!= $false )
| ~ spl0_15
| ~ spl0_18
| ~ spl0_76 ),
inference(forward_demodulation,[status(thm)],[f1003,f211]) ).
thf(f1003,plain,
( ( ( sK10 @ sK30 )
!= ( sK4 @ sK30 ) )
| ~ spl0_15
| ~ spl0_76 ),
inference(negative_extensionality,[status(thm)],[f972]) ).
thf(f972,plain,
( ( sK4 != sK10 )
| ~ spl0_15
| ~ spl0_76 ),
inference(trivial_inequality_removal,[status(thm)],[f957]) ).
thf(f957,plain,
( ( sK4 != sK10 )
| ( $true = $false )
| ~ spl0_15
| ~ spl0_76 ),
inference(constrained_superposition,[status(thm)],[f688,f198]) ).
thf(f996,plain,
( spl0_68
| spl0_91
| ~ spl0_64 ),
inference(avatar_split_clause,[status(thm)],[f991,f605,f993,f625]) ).
thf(f991,plain,
( ! [X1: $o] :
( ( $true
= ( sK9 @ $false ) )
| ( ( sK9 @ X1 )
= $false ) )
| ~ spl0_64 ),
inference(forward_demodulation,[status(thm)],[f920,f607]) ).
thf(f920,plain,
! [X1: $o] :
( ( $true
= ( sK9 @ ( eps5 @ sK9 ) ) )
| ( ( sK9 @ X1 )
= $false ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f983,plain,
( ~ spl0_63
| ~ spl0_68
| ~ spl0_75
| ~ spl0_76 ),
inference(avatar_contradiction_clause,[status(thm)],[f982]) ).
thf(f982,plain,
( $false
| ~ spl0_63
| ~ spl0_68
| ~ spl0_75
| ~ spl0_76 ),
inference(subsumption_resolution,[status(thm)],[f981,f683]) ).
thf(f981,plain,
( ( ( sK10 @ sK29 )
!= $false )
| ~ spl0_63
| ~ spl0_68
| ~ spl0_76 ),
inference(forward_demodulation,[status(thm)],[f980,f626]) ).
thf(f980,plain,
( ( ( sK10 @ sK29 )
!= ( sK9 @ sK29 ) )
| ~ spl0_63
| ~ spl0_76 ),
inference(negative_extensionality,[status(thm)],[f971]) ).
thf(f971,plain,
( ( sK9 != sK10 )
| ~ spl0_63
| ~ spl0_76 ),
inference(trivial_inequality_removal,[status(thm)],[f956]) ).
thf(f956,plain,
( ( sK9 != sK10 )
| ( $true = $false )
| ~ spl0_63
| ~ spl0_76 ),
inference(constrained_superposition,[status(thm)],[f688,f602]) ).
thf(f947,plain,
( ~ spl0_41
| ~ spl0_44
| ~ spl0_75
| ~ spl0_77 ),
inference(avatar_contradiction_clause,[status(thm)],[f946]) ).
thf(f946,plain,
( $false
| ~ spl0_41
| ~ spl0_44
| ~ spl0_75
| ~ spl0_77 ),
inference(subsumption_resolution,[status(thm)],[f945,f683]) ).
thf(f945,plain,
( ( ( sK10 @ sK27 )
!= $false )
| ~ spl0_41
| ~ spl0_44
| ~ spl0_77 ),
inference(forward_demodulation,[status(thm)],[f944,f433]) ).
thf(f944,plain,
( ( ( sK10 @ sK27 )
!= ( sK6 @ sK27 ) )
| ~ spl0_44
| ~ spl0_77 ),
inference(negative_extensionality,[status(thm)],[f940]) ).
thf(f940,plain,
( ( sK10 != sK6 )
| ~ spl0_44
| ~ spl0_77 ),
inference(trivial_inequality_removal,[status(thm)],[f928]) ).
thf(f928,plain,
( ( $true = $false )
| ( sK10 != sK6 )
| ~ spl0_44
| ~ spl0_77 ),
inference(constrained_superposition,[status(thm)],[f692,f448]) ).
thf(f856,plain,
( spl0_87
| spl0_59
| ~ spl0_55 ),
inference(avatar_split_clause,[status(thm)],[f851,f543,f562,f853]) ).
thf(f851,plain,
( ! [X1: $o] :
( ( $true
= ( sK8 @ $false ) )
| ( ( sK8 @ X1 )
= $false ) )
| ~ spl0_55 ),
inference(forward_demodulation,[status(thm)],[f834,f545]) ).
thf(f834,plain,
! [X1: $o] :
( ( $true
= ( sK8 @ ( eps4 @ sK8 ) ) )
| ( ( sK8 @ X1 )
= $false ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f849,plain,
( ~ spl0_31
| ~ spl0_34
| ~ spl0_55
| ~ spl0_59 ),
inference(avatar_contradiction_clause,[status(thm)],[f848]) ).
thf(f848,plain,
( $false
| ~ spl0_31
| ~ spl0_34
| ~ spl0_55
| ~ spl0_59 ),
inference(subsumption_resolution,[status(thm)],[f847,f563]) ).
thf(f847,plain,
( ( ( sK8 @ sK23 )
!= $false )
| ~ spl0_31
| ~ spl0_34
| ~ spl0_55 ),
inference(forward_demodulation,[status(thm)],[f846,f345]) ).
thf(f846,plain,
( ( ( sK8 @ sK23 )
!= ( sK5 @ sK23 ) )
| ~ spl0_31
| ~ spl0_55 ),
inference(negative_extensionality,[status(thm)],[f844]) ).
thf(f844,plain,
( ( sK8 != sK5 )
| ~ spl0_31
| ~ spl0_55 ),
inference(trivial_inequality_removal,[status(thm)],[f839]) ).
thf(f839,plain,
( ( sK8 != sK5 )
| ( $true = $false )
| ~ spl0_31
| ~ spl0_55 ),
inference(constrained_superposition,[status(thm)],[f333,f545]) ).
thf(f808,plain,
( ~ spl0_38
| ~ spl0_44 ),
inference(avatar_contradiction_clause,[status(thm)],[f807]) ).
thf(f807,plain,
( $false
| ~ spl0_38
| ~ spl0_44 ),
inference(trivial_inequality_removal,[status(thm)],[f806]) ).
thf(f806,plain,
( ( $true = $false )
| ~ spl0_38
| ~ spl0_44 ),
inference(forward_demodulation,[status(thm)],[f448,f421]) ).
thf(f803,plain,
( ~ spl0_18
| ~ spl0_21
| ~ spl0_41
| ~ spl0_42 ),
inference(avatar_contradiction_clause,[status(thm)],[f802]) ).
thf(f802,plain,
( $false
| ~ spl0_18
| ~ spl0_21
| ~ spl0_41
| ~ spl0_42 ),
inference(subsumption_resolution,[status(thm)],[f801,f211]) ).
thf(f801,plain,
( ( ( sK4 @ sK22 )
!= $false )
| ~ spl0_21
| ~ spl0_41
| ~ spl0_42 ),
inference(forward_demodulation,[status(thm)],[f800,f433]) ).
thf(f800,plain,
( ( ( sK4 @ sK22 )
!= ( sK6 @ sK22 ) )
| ~ spl0_21
| ~ spl0_42 ),
inference(negative_extensionality,[status(thm)],[f799]) ).
thf(f799,plain,
( ( sK4 != sK6 )
| ~ spl0_21
| ~ spl0_42 ),
inference(trivial_inequality_removal,[status(thm)],[f797]) ).
thf(f797,plain,
( ( sK4 != sK6 )
| ( $true = $false )
| ~ spl0_21
| ~ spl0_42 ),
inference(constrained_superposition,[status(thm)],[f224,f437]) ).
thf(f746,plain,
( spl0_84
| spl0_79 ),
inference(avatar_split_clause,[status(thm)],[f715,f721,f743]) ).
thf(f715,plain,
( ( ( eps1 @ sK11 )
= $false )
| ( ( eps5 @ sK11 )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f86]) ).
thf(f733,plain,
( spl0_80
| spl0_81 ),
inference(avatar_split_clause,[status(thm)],[f714,f730,f725]) ).
thf(f714,plain,
( ( ( eps1 @ sK11 )
= $true )
| ( ( eps5 @ sK11 )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f86]) ).
thf(f728,plain,
( spl0_79
| ~ spl0_80 ),
inference(avatar_split_clause,[status(thm)],[f716,f725,f721]) ).
thf(f716,plain,
( ( ( eps5 @ sK11 )
= $false )
| ( ( eps1 @ sK11 )
!= $true ) ),
inference(fool_paramodulation,[status(thm)],[f86]) ).
thf(f694,plain,
( spl0_77
| ~ spl0_71 ),
inference(avatar_split_clause,[status(thm)],[f659,f664,f690]) ).
thf(f659,plain,
( ( ( eps3 @ sK10 )
= $false )
| ( $true
!= ( eps2 @ sK10 ) ) ),
inference(fool_paramodulation,[status(thm)],[f85]) ).
thf(f693,plain,
( spl0_76
| spl0_77 ),
inference(avatar_split_clause,[status(thm)],[f658,f690,f686]) ).
thf(f658,plain,
( ( ( eps2 @ sK10 )
= $false )
| ( ( eps3 @ sK10 )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f85]) ).
thf(f676,plain,
( ~ spl0_73
| ~ spl0_71
| ~ spl0_9 ),
inference(avatar_split_clause,[status(thm)],[f662,f146,f664,f673]) ).
thf(f662,plain,
( ( $true
!= ( eps2 @ sK10 ) )
| ( sK10 != sK3 )
| ~ spl0_9 ),
inference(constrained_superposition,[status(thm)],[f85,f148]) ).
thf(f671,plain,
( spl0_71
| spl0_72 ),
inference(avatar_split_clause,[status(thm)],[f657,f668,f664]) ).
thf(f657,plain,
( ( ( eps3 @ sK10 )
= $true )
| ( $true
= ( eps2 @ sK10 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f85]) ).
thf(f641,plain,
( ~ spl0_64
| ~ spl0_67 ),
inference(avatar_contradiction_clause,[status(thm)],[f640]) ).
thf(f640,plain,
( $false
| ~ spl0_64
| ~ spl0_67 ),
inference(trivial_inequality_removal,[status(thm)],[f639]) ).
thf(f639,plain,
( ( $true = $false )
| ~ spl0_64
| ~ spl0_67 ),
inference(backward_demodulation,[status(thm)],[f622,f607]) ).
thf(f623,plain,
( spl0_63
| spl0_67 ),
inference(avatar_split_clause,[status(thm)],[f594,f620,f601]) ).
thf(f594,plain,
( ( $true
= ( eps2 @ sK9 ) )
| ( $true
= ( eps5 @ sK9 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f84]) ).
thf(f618,plain,
( ~ spl0_66
| ~ spl0_65
| ~ spl0_13 ),
inference(avatar_split_clause,[status(thm)],[f599,f164,f610,f615]) ).
thf(f599,plain,
( ( $false
!= ( eps2 @ sK9 ) )
| ( sK9 != sK3 )
| ~ spl0_13 ),
inference(constrained_superposition,[status(thm)],[f84,f166]) ).
thf(f613,plain,
( spl0_64
| spl0_65 ),
inference(avatar_split_clause,[status(thm)],[f595,f610,f605]) ).
thf(f595,plain,
( ( ( eps5 @ sK9 )
= $false )
| ( $false
= ( eps2 @ sK9 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f84]) ).
thf(f608,plain,
( ~ spl0_63
| spl0_64 ),
inference(avatar_split_clause,[status(thm)],[f596,f605,f601]) ).
thf(f596,plain,
( ( $true
!= ( eps2 @ sK9 ) )
| ( ( eps5 @ sK9 )
= $false ) ),
inference(fool_paramodulation,[status(thm)],[f84]) ).
thf(f573,plain,
( ~ spl0_56
| ~ spl0_61
| ~ spl0_5 ),
inference(avatar_split_clause,[status(thm)],[f541,f110,f570,f547]) ).
thf(f541,plain,
( ( ( eps1 @ sK8 )
!= $false )
| ( sK8 != sK2 )
| ~ spl0_5 ),
inference(constrained_superposition,[status(thm)],[f83,f112]) ).
thf(f560,plain,
( spl0_58
| spl0_57 ),
inference(avatar_split_clause,[status(thm)],[f536,f552,f557]) ).
thf(f536,plain,
( ( $true
= ( eps4 @ sK8 ) )
| ( $true
= ( eps1 @ sK8 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f83]) ).
thf(f555,plain,
( ~ spl0_57
| spl0_55 ),
inference(avatar_split_clause,[status(thm)],[f538,f543,f552]) ).
thf(f538,plain,
( ( $true
!= ( eps1 @ sK8 ) )
| ( ( eps4 @ sK8 )
= $false ) ),
inference(fool_paramodulation,[status(thm)],[f83]) ).
thf(f550,plain,
( spl0_55
| spl0_56 ),
inference(avatar_split_clause,[status(thm)],[f537,f547,f543]) ).
thf(f537,plain,
( ( ( eps4 @ sK8 )
= $false )
| ( ( eps1 @ sK8 )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f83]) ).
thf(f522,plain,
( ~ spl0_51
| ~ spl0_54 ),
inference(avatar_contradiction_clause,[status(thm)],[f521]) ).
thf(f521,plain,
( $false
| ~ spl0_51
| ~ spl0_54 ),
inference(trivial_inequality_removal,[status(thm)],[f520]) ).
thf(f520,plain,
( ( $true = $false )
| ~ spl0_51
| ~ spl0_54 ),
inference(backward_demodulation,[status(thm)],[f515,f501]) ).
thf(f517,plain,
( spl0_53
| spl0_51 ),
inference(avatar_split_clause,[status(thm)],[f476,f499,f508]) ).
thf(f476,plain,
( ( ( eps3 @ sK7 )
= $false )
| ( ( eps4 @ sK7 )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f82]) ).
thf(f516,plain,
( spl0_54
| spl0_50 ),
inference(avatar_split_clause,[status(thm)],[f475,f495,f513]) ).
thf(f475,plain,
( ( $true
= ( eps3 @ sK7 ) )
| ( ( eps4 @ sK7 )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f82]) ).
thf(f511,plain,
( ~ spl0_52
| ~ spl0_53
| ~ spl0_5 ),
inference(avatar_split_clause,[status(thm)],[f480,f110,f508,f504]) ).
thf(f480,plain,
( ( ( eps3 @ sK7 )
!= $false )
| ( sK2 != sK7 )
| ~ spl0_5 ),
inference(constrained_superposition,[status(thm)],[f82,f112]) ).
thf(f502,plain,
( ~ spl0_50
| spl0_51 ),
inference(avatar_split_clause,[status(thm)],[f477,f499,f495]) ).
thf(f477,plain,
( ( $true
!= ( eps3 @ sK7 ) )
| ( ( eps4 @ sK7 )
= $false ) ),
inference(fool_paramodulation,[status(thm)],[f82]) ).
thf(f449,plain,
( spl0_42
| spl0_44 ),
inference(avatar_split_clause,[status(thm)],[f413,f446,f436]) ).
thf(f413,plain,
( ( $true
= ( eps1 @ sK6 ) )
| ( $true
= ( eps3 @ sK6 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f81]) ).
thf(f439,plain,
( ~ spl0_42
| spl0_38 ),
inference(avatar_split_clause,[status(thm)],[f415,f419,f436]) ).
thf(f415,plain,
( ( $true
!= ( eps1 @ sK6 ) )
| ( ( eps3 @ sK6 )
= $false ) ),
inference(fool_paramodulation,[status(thm)],[f81]) ).
thf(f426,plain,
( spl0_38
| spl0_39 ),
inference(avatar_split_clause,[status(thm)],[f414,f423,f419]) ).
thf(f414,plain,
( ( ( eps3 @ sK6 )
= $false )
| ( $false
= ( eps1 @ sK6 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f81]) ).
thf(f408,plain,
( spl0_10
| spl0_37
| ~ spl0_13 ),
inference(avatar_split_clause,[status(thm)],[f407,f164,f373,f151]) ).
thf(f407,plain,
( ! [X1: $o] :
( ( ( sK3 @ X1 )
= $false )
| ( ( sK3 @ $false )
= $true ) )
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f184,f166]) ).
thf(f184,plain,
! [X1: $o] :
( ( ( sK3 @ X1 )
= $false )
| ( $true
= ( sK3 @ ( eps5 @ sK3 ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f404,plain,
( spl0_37
| ~ spl0_11
| ~ spl0_13 ),
inference(avatar_split_clause,[status(thm)],[f403,f164,f154,f373]) ).
thf(f403,plain,
( ( ( sK3 @ $false )
= $true )
| ~ spl0_11
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f156,f166]) ).
thf(f394,plain,
( ~ spl0_32
| ~ spl0_35 ),
inference(avatar_contradiction_clause,[status(thm)],[f393]) ).
thf(f393,plain,
( $false
| ~ spl0_32
| ~ spl0_35 ),
inference(trivial_inequality_removal,[status(thm)],[f392]) ).
thf(f392,plain,
( ( $true = $false )
| ~ spl0_32
| ~ spl0_35 ),
inference(backward_demodulation,[status(thm)],[f337,f350]) ).
thf(f391,plain,
( ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[status(thm)],[f390]) ).
thf(f390,plain,
( $false
| ~ spl0_10
| ~ spl0_12 ),
inference(trivial_inequality_removal,[status(thm)],[f388]) ).
thf(f388,plain,
( ( $true = $false )
| ~ spl0_10
| ~ spl0_12 ),
inference(backward_demodulation,[status(thm)],[f161,f152]) ).
thf(f382,plain,
( ~ spl0_13
| ~ spl0_14 ),
inference(avatar_split_clause,[status(thm)],[f381,f169,f164]) ).
thf(f381,plain,
( ( $false
!= ( eps5 @ sK3 ) )
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f78,f171]) ).
thf(f380,plain,
( spl0_10
| spl0_12 ),
inference(avatar_split_clause,[status(thm)],[f182,f159,f151]) ).
thf(f182,plain,
! [X1: $o] :
( ( ( sK3 @ X1 )
= $false )
| ( $true
= ( sK3 @ ( eps3 @ sK3 ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f366,plain,
( ~ spl0_10
| spl0_30
| ~ spl0_34 ),
inference(avatar_contradiction_clause,[status(thm)],[f365]) ).
thf(f365,plain,
( $false
| ~ spl0_10
| spl0_30
| ~ spl0_34 ),
inference(subsumption_resolution,[status(thm)],[f364,f345]) ).
thf(f364,plain,
( ( ( sK5 @ sK15 )
!= $false )
| ~ spl0_10
| spl0_30 ),
inference(forward_demodulation,[status(thm)],[f363,f152]) ).
thf(f363,plain,
( ( ( sK5 @ sK15 )
!= ( sK3 @ sK15 ) )
| spl0_30 ),
inference(negative_extensionality,[status(thm)],[f328]) ).
thf(f352,plain,
( ~ spl0_31
| spl0_35 ),
inference(avatar_split_clause,[status(thm)],[f317,f348,f331]) ).
thf(f317,plain,
( ( ( eps4 @ sK5 )
!= $true )
| ( ( eps5 @ sK5 )
= $false ) ),
inference(fool_paramodulation,[status(thm)],[f80]) ).
thf(f351,plain,
( spl0_29
| spl0_35 ),
inference(avatar_split_clause,[status(thm)],[f316,f348,f322]) ).
thf(f316,plain,
( ( ( eps4 @ sK5 )
= $false )
| ( ( eps5 @ sK5 )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f80]) ).
thf(f338,plain,
( spl0_31
| spl0_32 ),
inference(avatar_split_clause,[status(thm)],[f315,f335,f331]) ).
thf(f315,plain,
( ( $true
= ( eps5 @ sK5 ) )
| ( ( eps4 @ sK5 )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f80]) ).
thf(f329,plain,
( ~ spl0_29
| ~ spl0_30
| ~ spl0_13 ),
inference(avatar_split_clause,[status(thm)],[f320,f164,f326,f322]) ).
thf(f320,plain,
( ( sK3 != sK5 )
| ( ( eps4 @ sK5 )
!= $false )
| ~ spl0_13 ),
inference(constrained_superposition,[status(thm)],[f80,f166]) ).
thf(f288,plain,
( spl0_2
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_split_clause,[status(thm)],[f277,f210,f205,f97]) ).
thf(f277,plain,
( ! [X1: $o] :
( ( sK2 @ X1 )
= $false )
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f251,f211]) ).
thf(f251,plain,
( ! [X1: $o] :
( ( sK2 @ X1 )
= ( sK4 @ X1 ) )
| ~ spl0_17 ),
inference(argument_congruence,[status(thm)],[f206]) ).
thf(f283,plain,
( ~ spl0_2
| ~ spl0_10
| spl0_23 ),
inference(avatar_contradiction_clause,[status(thm)],[f282]) ).
thf(f282,plain,
( $false
| ~ spl0_2
| ~ spl0_10
| spl0_23 ),
inference(subsumption_resolution,[status(thm)],[f281,f152]) ).
thf(f281,plain,
( ( ( sK3 @ sK13 )
!= $false )
| ~ spl0_2
| spl0_23 ),
inference(forward_demodulation,[status(thm)],[f278,f98]) ).
thf(f278,plain,
( ( ( sK3 @ sK13 )
!= ( sK2 @ sK13 ) )
| spl0_23 ),
inference(negative_extensionality,[status(thm)],[f259]) ).
thf(f270,plain,
( ~ spl0_23
| spl0_25
| ~ spl0_13
| ~ spl0_17 ),
inference(avatar_split_clause,[status(thm)],[f265,f205,f164,f267,f257]) ).
thf(f265,plain,
( ( sK3 != sK2 )
| ( ( eps5 @ sK2 )
= $false )
| ~ spl0_13
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f253,f206]) ).
thf(f253,plain,
( ( ( eps5 @ sK2 )
= $false )
| ( sK4 != sK3 )
| ~ spl0_13
| ~ spl0_17 ),
inference(constrained_superposition,[status(thm)],[f166,f206]) ).
thf(f244,plain,
( ~ spl0_2
| spl0_17
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[status(thm)],[f243]) ).
thf(f243,plain,
( $false
| ~ spl0_2
| spl0_17
| ~ spl0_18 ),
inference(subsumption_resolution,[status(thm)],[f242,f98]) ).
thf(f242,plain,
( ( ( sK2 @ sK12 )
!= $false )
| spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f241,f211]) ).
thf(f241,plain,
( ( ( sK2 @ sK12 )
!= ( sK4 @ sK12 ) )
| spl0_17 ),
inference(negative_extensionality,[status(thm)],[f207]) ).
thf(f235,plain,
( ~ spl0_15
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[status(thm)],[f234]) ).
thf(f234,plain,
( $false
| ~ spl0_15
| ~ spl0_20 ),
inference(trivial_inequality_removal,[status(thm)],[f233]) ).
thf(f233,plain,
( ( $true = $false )
| ~ spl0_15
| ~ spl0_20 ),
inference(backward_demodulation,[status(thm)],[f198,f220]) ).
thf(f231,plain,
( spl0_20
| ~ spl0_16 ),
inference(avatar_split_clause,[status(thm)],[f191,f200,f218]) ).
thf(f191,plain,
( ( ( eps2 @ sK4 )
= $false )
| ( $true
!= ( eps1 @ sK4 ) ) ),
inference(fool_paramodulation,[status(thm)],[f79]) ).
thf(f225,plain,
( spl0_20
| spl0_21 ),
inference(avatar_split_clause,[status(thm)],[f190,f222,f218]) ).
thf(f190,plain,
( ( ( eps2 @ sK4 )
= $false )
| ( ( eps1 @ sK4 )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f79]) ).
thf(f208,plain,
( ~ spl0_16
| ~ spl0_17
| ~ spl0_6 ),
inference(avatar_split_clause,[status(thm)],[f194,f115,f205,f200]) ).
thf(f194,plain,
( ( sK4 != sK2 )
| ( $true
!= ( eps1 @ sK4 ) )
| ~ spl0_6 ),
inference(constrained_superposition,[status(thm)],[f79,f117]) ).
thf(f203,plain,
( spl0_15
| spl0_16 ),
inference(avatar_split_clause,[status(thm)],[f189,f200,f196]) ).
thf(f189,plain,
( ( $true
= ( eps2 @ sK4 ) )
| ( $true
= ( eps1 @ sK4 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f79]) ).
thf(f177,plain,
( ~ spl0_8
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[status(thm)],[f176]) ).
thf(f176,plain,
( $false
| ~ spl0_8
| ~ spl0_13 ),
inference(trivial_inequality_removal,[status(thm)],[f175]) ).
thf(f175,plain,
( ( $true = $false )
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f144,f166]) ).
thf(f172,plain,
( spl0_14
| spl0_13 ),
inference(avatar_split_clause,[status(thm)],[f137,f164,f169]) ).
thf(f137,plain,
( ( $false
= ( eps5 @ sK3 ) )
| ( ( eps3 @ sK3 )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f78]) ).
thf(f167,plain,
( ~ spl0_9
| spl0_13 ),
inference(avatar_split_clause,[status(thm)],[f138,f164,f146]) ).
thf(f138,plain,
( ( $true
!= ( eps3 @ sK3 ) )
| ( $false
= ( eps5 @ sK3 ) ) ),
inference(fool_paramodulation,[status(thm)],[f78]) ).
thf(f157,plain,
( spl0_10
| spl0_11 ),
inference(avatar_split_clause,[status(thm)],[f140,f154,f151]) ).
thf(f140,plain,
! [X1: $o] :
( ( ( sK3 @ X1 )
= $false )
| ( $true
= ( sK3 @ ( eps5 @ sK3 ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f149,plain,
( spl0_8
| spl0_9 ),
inference(avatar_split_clause,[status(thm)],[f136,f146,f142]) ).
thf(f136,plain,
( ( $true
= ( eps3 @ sK3 ) )
| ( $true
= ( eps5 @ sK3 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f78]) ).
thf(f123,plain,
( spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[status(thm)],[f89,f115,f110]) ).
thf(f89,plain,
( ( ( eps4 @ sK2 )
= $false )
| ( ( eps2 @ sK2 )
!= $true ) ),
inference(fool_paramodulation,[status(thm)],[f77]) ).
thf(f122,plain,
( spl0_6
| spl0_7 ),
inference(avatar_split_clause,[status(thm)],[f87,f119,f115]) ).
thf(f87,plain,
( ( ( eps2 @ sK2 )
= $true )
| ( $true
= ( eps4 @ sK2 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f77]) ).
thf(f113,plain,
( spl0_4
| spl0_5 ),
inference(avatar_split_clause,[status(thm)],[f88,f110,f106]) ).
thf(f88,plain,
( ( ( eps4 @ sK2 )
= $false )
| ( ( eps2 @ sK2 )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f77]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYO529^1 : TPTP v9.2.1. Released v5.2.0.
% 0.00/0.13 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.16/0.33 % Computer : n025.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue Feb 24 14:33:27 EST 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.33 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.18/0.45 ---- Original DTF file ---
% 0.18/0.45 thf(spec,logic,$$dhol).
% 0.18/0.45 %------------------------------------------------------------------------------
% 0.18/0.45 % File : SYO529^1 : TPTP v9.2.1. Released v5.2.0.
% 0.18/0.45 % Domain : Syntactic
% 0.18/0.45 % Problem : There cannot be 5 distinct choice operators on type $o
% 0.18/0.45 % Version : Especial.
% 0.18/0.45 % English :
% 0.18/0.45
% 0.18/0.45 % Refs : [Bro11] Brown E. (2011), Email to Geoff Sutcliffe
% 0.18/0.45 % Source : [Bro11]
% 0.18/0.45 % Names : CHOICE6 [Bro11]
% 0.18/0.45
% 0.18/0.45 % Status : Unsatisfiable
% 0.18/0.45 % Rating : 0.00 v9.1.0, 0.33 v9.0.0, 0.00 v5.4.0, 0.67 v5.2.0
% 0.18/0.45 % Syntax : Number of formulae : 20 ( 15 unt; 5 typ; 0 def)
% 0.18/0.45 % Number of atoms : 35 ( 10 equ; 0 cnn)
% 0.18/0.45 % Maximal formula atoms : 1 ( 2 avg)
% 0.18/0.45 % Number of connectives : 30 ( 10 ~; 0 |; 0 &; 15 @)
% 0.18/0.45 % ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% 0.18/0.45 % Maximal formula depth : 5 ( 3 avg)
% 0.18/0.45 % Number of types : 1 ( 0 usr)
% 0.18/0.45 % Number of type conns : 15 ( 15 >; 0 *; 0 +; 0 <<)
% 0.18/0.45 % Number of symbols : 6 ( 5 usr; 0 con; 1-2 aty)
% 0.18/0.45 % Number of variables : 10 ( 0 ^; 5 !; 5 ?; 10 :)
% 0.18/0.45 % SPC : TH0_UNS_EQU_NAR
% 0.18/0.45
% 0.18/0.45 % Comments :
% 0.18/0.45 %------------------------------------------------------------------------------
% 0.18/0.45 thf(eps1,type,
% 0.18/0.45 eps1: ( $o > $o ) > $o ).
% 0.18/0.45
% 0.18/0.45 thf(choiceax1,axiom,
% 0.18/0.45 ! [P: $o > $o] :
% 0.18/0.45 ( ? [X: $o] : ( P @ X )
% 0.18/0.45 => ( P @ ( eps1 @ P ) ) ) ).
% 0.18/0.45
% 0.18/0.45 thf(eps2,type,
% 0.18/0.45 eps2: ( $o > $o ) > $o ).
% 0.18/0.45
% 0.18/0.45 thf(choiceax2,axiom,
% 0.18/0.45 ! [P: $o > $o] :
% 0.18/0.45 ( ? [X: $o] : ( P @ X )
% 0.18/0.45 => ( P @ ( eps2 @ P ) ) ) ).
% 0.18/0.45
% 0.18/0.45 thf(eps3,type,
% 0.18/0.45 eps3: ( $o > $o ) > $o ).
% 0.18/0.45
% 0.18/0.45 thf(choiceax3,axiom,
% 0.18/0.45 ! [P: $o > $o] :
% 0.18/0.45 ( ? [X: $o] : ( P @ X )
% 0.18/0.45 => ( P @ ( eps3 @ P ) ) ) ).
% 0.18/0.45
% 0.18/0.45 thf(eps4,type,
% 0.18/0.45 eps4: ( $o > $o ) > $o ).
% 0.18/0.45
% 0.18/0.45 thf(choiceax4,axiom,
% 0.18/0.45 ! [P: $o > $o] :
% 0.18/0.45 ( ? [X: $o] : ( P @ X )
% 0.18/0.45 => ( P @ ( eps4 @ P ) ) ) ).
% 0.18/0.45
% 0.18/0.45 thf(eps5,type,
% 0.18/0.45 eps5: ( $o > $o ) > $o ).
% 0.18/0.45
% 0.18/0.45 thf(choiceax5,axiom,
% 0.18/0.45 ! [P: $o > $o] :
% 0.18/0.45 ( ? [X: $o] : ( P @ X )
% 0.18/0.45 => ( P @ ( eps5 @ P ) ) ) ).
% 0.18/0.45
% 0.18/0.45 thf(choiceax12,axiom,
% 0.18/0.45 eps1 != eps2 ).
% 0.18/0.45
% 0.18/0.45 thf(choiceax13,axiom,
% 0.18/0.45 eps1 != eps3 ).
% 0.18/0.45
% 0.18/0.45 thf(choiceax14,axiom,
% 0.18/0.45 eps1 != eps4 ).
% 0.18/0.45
% 0.18/0.45 thf(choiceax15,axiom,
% 0.18/0.45 eps1 != eps5 ).
% 0.18/0.45
% 0.18/0.45 thf(choiceax23,axiom,
% 0.18/0.45 eps2 != eps3 ).
% 0.18/0.45
% 0.18/0.45 thf(choiceax24,axiom,
% 0.18/0.45 eps2 != eps4 ).
% 0.18/0.45
% 0.18/0.45 thf(choiceax25,axiom,
% 0.18/0.45 eps2 != eps5 ).
% 0.18/0.45
% 0.18/0.45 thf(choiceax34,axiom,
% 0.18/0.45 eps3 != eps4 ).
% 0.18/0.45
% 0.18/0.45 thf(choiceax35,axiom,
% 0.18/0.45 eps3 != eps5 ).
% 0.18/0.45
% 0.18/0.45 thf(choiceax45,axiom,
% 0.18/0.45 eps4 != eps5 ).
% 0.18/0.45
% 0.18/0.45 %------------------------------------------------------------------------------
% 0.18/0.45 ------------------------
% 1.49/1.26 ---- Embedded in THF ---
% 1.49/1.26 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.49/1.26 %%% Generated on Tue Feb 24 14:33:28 EST 2026
% 1.49/1.26 %%% using '$$dhol' embedding, version 1.3.0.
% 1.49/1.26 %%% Logic specification used:
% 1.49/1.26 %%% thf(spec, logic, $$dhol).
% 1.49/1.26
% 1.49/1.26 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.2wiz2zWszC/DTF2DTF5231.p
% See solution above
% 1.49/1.26 ------------------------
% 1.49/1.28 ---- Cleaned THF ---
% 1.49/1.28 thf(eps1,type,
% 1.49/1.28 eps1: ( $o > $o ) > $o ).
% 1.49/1.28
% 1.49/1.28 thf(choiceax1,axiom,
% 1.49/1.28 ! [P: $o > $o] :
% 1.49/1.28 ( ? [X: $o] : ( P @ X )
% 1.49/1.28 => ( P @ ( eps1 @ P ) ) ) ).
% 1.49/1.28
% 1.49/1.28 thf(eps2,type,
% 1.49/1.28 eps2: ( $o > $o ) > $o ).
% 1.49/1.28
% 1.49/1.28 thf(choiceax2,axiom,
% 1.49/1.28 ! [P: $o > $o] :
% 1.49/1.28 ( ? [X: $o] : ( P @ X )
% 1.49/1.28 => ( P @ ( eps2 @ P ) ) ) ).
% 1.49/1.28
% 1.49/1.28 thf(eps3,type,
% 1.49/1.28 eps3: ( $o > $o ) > $o ).
% 1.49/1.28
% 1.49/1.28 thf(choiceax3,axiom,
% 1.49/1.28 ! [P: $o > $o] :
% 1.49/1.28 ( ? [X: $o] : ( P @ X )
% 1.49/1.28 => ( P @ ( eps3 @ P ) ) ) ).
% 1.49/1.28
% 1.49/1.28 thf(eps4,type,
% 1.49/1.28 eps4: ( $o > $o ) > $o ).
% 1.49/1.28
% 1.49/1.28 thf(choiceax4,axiom,
% 1.49/1.28 ! [P: $o > $o] :
% 1.49/1.28 ( ? [X: $o] : ( P @ X )
% 1.49/1.28 => ( P @ ( eps4 @ P ) ) ) ).
% 1.49/1.28
% 1.49/1.28 thf(eps5,type,
% 1.49/1.28 eps5: ( $o > $o ) > $o ).
% 1.49/1.28
% 1.49/1.28 thf(choiceax5,axiom,
% 1.49/1.28 ! [P: $o > $o] :
% 1.49/1.28 ( ? [X: $o] : ( P @ X )
% 1.49/1.28 => ( P @ ( eps5 @ P ) ) ) ).
% 1.49/1.28
% 1.49/1.28 thf(choiceax12,axiom,
% 1.49/1.28 eps1 != eps2 ).
% 1.49/1.28
% 1.49/1.28 thf(choiceax13,axiom,
% 1.49/1.28 eps1 != eps3 ).
% 1.49/1.28
% 1.49/1.28 thf(choiceax14,axiom,
% 1.49/1.28 eps1 != eps4 ).
% 1.49/1.28
% 1.49/1.28 thf(choiceax15,axiom,
% 1.49/1.28 eps1 != eps5 ).
% 1.49/1.28
% 1.49/1.28 thf(choiceax23,axiom,
% 1.49/1.28 eps2 != eps3 ).
% 1.49/1.28
% 1.49/1.28 thf(choiceax24,axiom,
% 1.49/1.28 eps2 != eps4 ).
% 1.49/1.28
% 1.49/1.28 thf(choiceax25,axiom,
% 1.49/1.28 eps2 != eps5 ).
% 1.49/1.28
% 1.49/1.28 thf(choiceax34,axiom,
% 1.49/1.28 eps3 != eps4 ).
% 1.49/1.28
% 1.49/1.28 thf(choiceax35,axiom,
% 1.49/1.28 eps3 != eps5 ).
% 1.49/1.28
% 1.49/1.28 thf(choiceax45,axiom,
% 1.49/1.28 eps4 != eps5 ).
% 1.49/1.28 ------------------------
% 1.49/1.29 % (5393)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on DTF2THF_5231 for (2999ds/4Mi)
% 1.49/1.29 % (5398)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_5231 for (2999ds/18Mi)
% 1.49/1.29 % (5395)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_5231 for (2999ds/2Mi)
% 1.49/1.29 % (5393)Instruction limit reached!
% 1.49/1.29 % (5393)------------------------------
% 1.49/1.29 % (5393)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.49/1.29 % (5393)Termination reason: Unknown
% 1.49/1.29 % (5393)Termination phase: Saturation
% 1.49/1.29
% 1.49/1.29 % (5393)Memory used [KB]: 5500
% 1.49/1.29 % (5393)Time elapsed: 0.003 s
% 1.49/1.29 % (5393)Instructions burned: 4 (million)
% 1.49/1.29 % (5393)------------------------------
% 1.49/1.29 % (5393)------------------------------
% 1.49/1.29 % (5394)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on DTF2THF_5231 for (2999ds/27Mi)
% 1.49/1.29 % (5395)Instruction limit reached!
% 1.49/1.29 % (5395)------------------------------
% 1.49/1.29 % (5395)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.49/1.29 % (5395)Termination reason: Unknown
% 1.49/1.29 % (5395)Termination phase: Saturation
% 1.49/1.29
% 1.49/1.29 % (5395)Memory used [KB]: 5500
% 1.49/1.29 % (5395)Time elapsed: 0.002 s
% 1.49/1.29 % (5395)Instructions burned: 3 (million)
% 1.49/1.29 % (5395)------------------------------
% 1.49/1.29 % (5395)------------------------------
% 1.65/1.30 % (5398)Instruction limit reached!
% 1.65/1.30 % (5398)------------------------------
% 1.65/1.30 % (5398)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.30 % (5398)Termination reason: Unknown
% 1.65/1.30 % (5398)Termination phase: Saturation
% 1.65/1.30
% 1.65/1.30 % (5398)Memory used [KB]: 5628
% 1.65/1.30 % (5398)Time elapsed: 0.008 s
% 1.65/1.30 % (5398)Instructions burned: 18 (million)
% 1.65/1.30 % (5398)------------------------------
% 1.65/1.30 % (5398)------------------------------
% 1.65/1.30 % (5392)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_5231 for (2999ds/183Mi)
% 1.65/1.30 % (5396)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on DTF2THF_5231 for (2999ds/2Mi)
% 1.65/1.30 % (5397)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on DTF2THF_5231 for (2999ds/275Mi)
% 1.65/1.30 % (5396)Instruction limit reached!
% 1.65/1.30 % (5396)------------------------------
% 1.65/1.30 % (5396)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.30 % (5396)Termination reason: Unknown
% 1.65/1.30 % (5396)Termination phase: Property scanning
% 1.65/1.30
% 1.65/1.30 % (5396)Memory used [KB]: 895
% 1.65/1.30 % (5396)Time elapsed: 0.003 s
% 1.65/1.30 % (5396)Instructions burned: 2 (million)
% 1.65/1.30 % (5396)------------------------------
% 1.65/1.30 % (5396)------------------------------
% 1.65/1.30 % (5397)Refutation not found, incomplete strategy
% 1.65/1.30 % (5397)------------------------------
% 1.65/1.30 % (5397)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.30 % (5397)Termination reason: Refutation not found, incomplete strategy
% 1.65/1.30
% 1.65/1.30
% 1.65/1.30 % (5397)Memory used [KB]: 5373
% 1.65/1.30 % (5397)Time elapsed: 0.003 s
% 1.65/1.30 % (5397)------------------------------
% 1.65/1.30 % (5397)------------------------------
% 1.65/1.30 % (5399)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_5231 for (2999ds/3Mi)
% 1.65/1.30 % (5400)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on DTF2THF_5231 for (2999ds/37Mi)
% 1.65/1.30 % (5399)Instruction limit reached!
% 1.65/1.30 % (5399)------------------------------
% 1.65/1.30 % (5399)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.30 % (5399)Termination reason: Unknown
% 1.65/1.30 % (5399)Termination phase: Saturation
% 1.65/1.30
% 1.65/1.30 % (5399)Memory used [KB]: 5500
% 1.65/1.30 % (5399)Time elapsed: 0.002 s
% 1.65/1.30 % (5399)Instructions burned: 3 (million)
% 1.65/1.30 % (5399)------------------------------
% 1.65/1.30 % (5399)------------------------------
% 1.65/1.31 % (5401)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on DTF2THF_5231 for (2999ds/15Mi)
% 1.65/1.31 % (5401)Refutation not found, incomplete strategy
% 1.65/1.31 % (5401)------------------------------
% 1.65/1.31 % (5401)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.31 % (5401)Termination reason: Refutation not found, incomplete strategy
% 1.65/1.31
% 1.65/1.31
% 1.65/1.31 % (5401)Memory used [KB]: 5500
% 1.65/1.31 % (5401)Time elapsed: 0.001 s
% 1.65/1.31 % (5401)Instructions burned: 1 (million)
% 1.65/1.31 % (5401)------------------------------
% 1.65/1.31 % (5401)------------------------------
% 1.65/1.31 % (5394)Refutation not found, incomplete strategy
% 1.65/1.31 % (5394)------------------------------
% 1.65/1.31 % (5394)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.31 % (5394)Termination reason: Refutation not found, incomplete strategy
% 1.65/1.31
% 1.65/1.31
% 1.65/1.31 % (5394)Memory used [KB]: 5756
% 1.65/1.31 % (5394)Time elapsed: 0.019 s
% 1.65/1.31 % (5394)Instructions burned: 24 (million)
% 1.65/1.31 % (5394)------------------------------
% 1.65/1.31 % (5394)------------------------------
% 1.65/1.31 % (5404)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_5231 for (2999ds/7Mi)
% 1.65/1.31 % (5404)Instruction limit reached!
% 1.65/1.31 % (5404)------------------------------
% 1.65/1.31 % (5404)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.31 % (5404)Termination reason: Unknown
% 1.65/1.31 % (5404)Termination phase: Saturation
% 1.65/1.31
% 1.65/1.31 % (5404)Memory used [KB]: 1023
% 1.65/1.31 % (5404)Time elapsed: 0.004 s
% 1.65/1.31 % (5404)Instructions burned: 8 (million)
% 1.65/1.31 % (5404)------------------------------
% 1.65/1.31 % (5404)------------------------------
% 1.65/1.32 % (5400)Instruction limit reached!
% 1.65/1.32 % (5400)------------------------------
% 1.65/1.32 % (5400)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.32 % (5400)Termination reason: Unknown
% 1.65/1.32 % (5400)Termination phase: Saturation
% 1.65/1.32
% 1.65/1.32 % (5400)Memory used [KB]: 5756
% 1.65/1.32 % (5400)Time elapsed: 0.015 s
% 1.65/1.32 % (5400)Instructions burned: 37 (million)
% 1.65/1.32 % (5400)------------------------------
% 1.65/1.32 % (5400)------------------------------
% 1.65/1.32 % (5402)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_5231 for (2999ds/3Mi)
% 1.65/1.32 % (5405)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_5231 for (2999ds/16Mi)
% 1.65/1.32 % (5403)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on DTF2THF_5231 for (2999ds/1041Mi)
% 1.65/1.32 % (5402)Instruction limit reached!
% 1.65/1.32 % (5402)------------------------------
% 1.65/1.32 % (5402)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.32 % (5402)Termination reason: Unknown
% 1.65/1.32 % (5402)Termination phase: Saturation
% 1.65/1.32
% 1.65/1.32 % (5402)Memory used [KB]: 5500
% 1.65/1.32 % (5402)Time elapsed: 0.004 s
% 1.65/1.32 % (5402)Instructions burned: 3 (million)
% 1.65/1.32 % (5402)------------------------------
% 1.65/1.32 % (5402)------------------------------
% 1.65/1.32 % (5405)Instruction limit reached!
% 1.65/1.32 % (5405)------------------------------
% 1.65/1.32 % (5405)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.32 % (5405)Termination reason: Unknown
% 1.65/1.32 % (5405)Termination phase: Saturation
% 1.65/1.32
% 1.65/1.32 % (5405)Memory used [KB]: 5756
% 1.65/1.32 % (5405)Time elapsed: 0.007 s
% 1.65/1.32 % (5405)Instructions burned: 16 (million)
% 1.65/1.32 % (5405)------------------------------
% 1.65/1.32 % (5405)------------------------------
% 1.65/1.32 % (5407)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_5231 for (2999ds/3Mi)
% 1.65/1.32 % (5407)Instruction limit reached!
% 1.65/1.32 % (5407)------------------------------
% 1.65/1.32 % (5407)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.32 % (5407)Termination reason: Unknown
% 1.65/1.32 % (5407)Termination phase: Saturation
% 1.65/1.32
% 1.65/1.32 % (5407)Memory used [KB]: 1023
% 1.65/1.32 % (5407)Time elapsed: 0.002 s
% 1.65/1.32 % (5407)Instructions burned: 3 (million)
% 1.65/1.32 % (5407)------------------------------
% 1.65/1.32 % (5407)------------------------------
% 1.65/1.33 % (5408)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_5231 for (2999ds/7Mi)
% 1.65/1.33 % (5406)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on DTF2THF_5231 for (2999ds/3Mi)
% 1.65/1.33 % (5408)Instruction limit reached!
% 1.65/1.33 % (5408)------------------------------
% 1.65/1.33 % (5408)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.33 % (5408)Termination reason: Unknown
% 1.65/1.33 % (5408)Termination phase: Saturation
% 1.65/1.33
% 1.65/1.33 % (5408)Memory used [KB]: 5500
% 1.65/1.33 % (5408)Time elapsed: 0.005 s
% 1.65/1.33 % (5408)Instructions burned: 9 (million)
% 1.65/1.33 % (5408)------------------------------
% 1.65/1.33 % (5408)------------------------------
% 1.65/1.33 % (5406)Instruction limit reached!
% 1.65/1.33 % (5406)------------------------------
% 1.65/1.33 % (5406)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.33 % (5406)Termination reason: Unknown
% 1.65/1.33 % (5406)Termination phase: Saturation
% 1.65/1.33
% 1.65/1.33 % (5406)Memory used [KB]: 5500
% 1.65/1.33 % (5406)Time elapsed: 0.004 s
% 1.65/1.33 % (5406)Instructions burned: 3 (million)
% 1.65/1.33 % (5406)------------------------------
% 1.65/1.33 % (5406)------------------------------
% 1.65/1.33 % (5410)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_5231 for (2999ds/4Mi)
% 1.65/1.33 % (5411)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_5231 for (2999ds/18Mi)
% 1.65/1.33 % (5410)Instruction limit reached!
% 1.65/1.33 % (5410)------------------------------
% 1.65/1.33 % (5410)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.33 % (5410)Termination reason: Unknown
% 1.65/1.33 % (5410)Termination phase: Saturation
% 1.65/1.33
% 1.65/1.33 % (5410)Memory used [KB]: 5500
% 1.65/1.33 % (5410)Time elapsed: 0.003 s
% 1.65/1.33 % (5410)Instructions burned: 6 (million)
% 1.65/1.33 % (5410)------------------------------
% 1.65/1.33 % (5410)------------------------------
% 1.65/1.34 % (5409)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_5231 for (2999ds/3Mi)
% 1.65/1.34 % (5409)Instruction limit reached!
% 1.65/1.34 % (5409)------------------------------
% 1.65/1.34 % (5409)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.34 % (5409)Termination reason: Unknown
% 1.65/1.34 % (5409)Termination phase: Saturation
% 1.65/1.34
% 1.65/1.34 % (5409)Memory used [KB]: 5500
% 1.65/1.34 % (5409)Time elapsed: 0.004 s
% 1.65/1.34 % (5409)Instructions burned: 3 (million)
% 1.65/1.34 % (5409)------------------------------
% 1.65/1.34 % (5409)------------------------------
% 1.65/1.34 % (5412)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_5231 for (2999ds/710Mi)
% 1.65/1.34 % (5412)Refutation not found, incomplete strategy
% 1.65/1.34 % (5412)------------------------------
% 1.65/1.34 % (5412)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.34 % (5412)Termination reason: Refutation not found, incomplete strategy
% 1.65/1.34
% 1.65/1.34
% 1.65/1.34 % (5412)Memory used [KB]: 5373
% 1.65/1.34 % (5412)Time elapsed: 0.002 s
% 1.65/1.34 % (5412)Instructions burned: 1 (million)
% 1.65/1.34 % (5412)------------------------------
% 1.65/1.34 % (5412)------------------------------
% 1.65/1.34 % (5411)Instruction limit reached!
% 1.65/1.34 % (5411)------------------------------
% 1.65/1.34 % (5411)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.34 % (5411)Termination reason: Unknown
% 1.65/1.34 % (5411)Termination phase: Saturation
% 1.65/1.34
% 1.65/1.34 % (5411)Memory used [KB]: 5756
% 1.65/1.34 % (5411)Time elapsed: 0.008 s
% 1.65/1.34 % (5411)Instructions burned: 20 (million)
% 1.65/1.34 % (5411)------------------------------
% 1.65/1.34 % (5411)------------------------------
% 1.65/1.34 % (5414)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on DTF2THF_5231 for (2999ds/902Mi)
% 1.65/1.34 % (5414)Refutation not found, incomplete strategy
% 1.65/1.34 % (5414)------------------------------
% 1.65/1.34 % (5414)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.34 % (5414)Termination reason: Refutation not found, incomplete strategy
% 1.65/1.34
% 1.65/1.34
% 1.65/1.34 % (5414)Memory used [KB]: 5373
% 1.65/1.34 % (5414)Time elapsed: 0.001 s
% 1.65/1.34 % (5414)Instructions burned: 1 (million)
% 1.65/1.34 % (5414)------------------------------
% 1.65/1.34 % (5414)------------------------------
% 1.65/1.34 % (5413)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_5231 for (2999ds/6Mi)
% 1.65/1.35 % (5413)Instruction limit reached!
% 1.65/1.35 % (5413)------------------------------
% 1.65/1.35 % (5413)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.35 % (5413)Termination reason: Unknown
% 1.65/1.35 % (5413)Termination phase: Saturation
% 1.65/1.35
% 1.65/1.35 % (5413)Memory used [KB]: 5628
% 1.65/1.35 % (5413)Time elapsed: 0.005 s
% 1.65/1.35 % (5413)Instructions burned: 7 (million)
% 1.65/1.35 % (5413)------------------------------
% 1.65/1.35 % (5413)------------------------------
% 1.65/1.35 % (5416)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_5231 for (2999ds/5Mi)
% 1.65/1.35 % (5417)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on DTF2THF_5231 for (2999ds/6Mi)
% 1.65/1.35 % (5417)Refutation not found, incomplete strategy
% 1.65/1.35 % (5417)------------------------------
% 1.65/1.35 % (5417)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.35 % (5417)Termination reason: Refutation not found, incomplete strategy
% 1.65/1.35
% 1.65/1.35
% 1.65/1.35 % (5417)Memory used [KB]: 5373
% 1.65/1.35 % (5417)Time elapsed: 0.001 s
% 1.65/1.35 % (5417)Instructions burned: 1 (million)
% 1.65/1.35 % (5417)------------------------------
% 1.65/1.35 % (5417)------------------------------
% 1.65/1.35 % (5416)Instruction limit reached!
% 1.65/1.35 % (5416)------------------------------
% 1.65/1.35 % (5416)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.35 % (5416)Termination reason: Unknown
% 1.65/1.35 % (5416)Termination phase: Saturation
% 1.65/1.35
% 1.65/1.35 % (5416)Memory used [KB]: 5500
% 1.65/1.35 % (5416)Time elapsed: 0.004 s
% 1.65/1.35 % (5416)Instructions burned: 6 (million)
% 1.65/1.35 % (5416)------------------------------
% 1.65/1.35 % (5416)------------------------------
% 1.65/1.35 % (5418)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_5231 for (2999ds/377Mi)
% 1.65/1.36 % (5415)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on DTF2THF_5231 for (2999ds/21Mi)
% 1.65/1.36 % (5415)Refutation not found, incomplete strategy
% 1.65/1.36 % (5415)------------------------------
% 1.65/1.36 % (5415)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.36 % (5415)Termination reason: Refutation not found, incomplete strategy
% 1.65/1.36
% 1.65/1.36
% 1.65/1.36 % (5415)Memory used [KB]: 5373
% 1.65/1.36 % (5415)Time elapsed: 0.003 s
% 1.65/1.36 % (5415)Instructions burned: 1 (million)
% 1.65/1.36 % (5415)------------------------------
% 1.65/1.36 % (5415)------------------------------
% 1.65/1.36 % (5419)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on DTF2THF_5231 for (2999ds/779Mi)
% 1.65/1.36 % (5419)Refutation not found, incomplete strategy
% 1.65/1.36 % (5419)------------------------------
% 1.65/1.36 % (5419)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.36 % (5419)Termination reason: Refutation not found, incomplete strategy
% 1.65/1.36
% 1.65/1.36
% 1.65/1.36 % (5419)Memory used [KB]: 5373
% 1.65/1.36 % (5419)Time elapsed: 0.002 s
% 1.65/1.36 % (5419)Instructions burned: 1 (million)
% 1.65/1.36 % (5419)------------------------------
% 1.65/1.36 % (5419)------------------------------
% 1.65/1.36 % (5420)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on DTF2THF_5231 for (2999ds/19Mi)
% 1.65/1.36 % (5420)Refutation not found, incomplete strategy
% 1.65/1.36 % (5420)------------------------------
% 1.65/1.36 % (5420)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.36 % (5420)Termination reason: Refutation not found, incomplete strategy
% 1.65/1.36
% 1.65/1.36
% 1.65/1.36 % (5420)Memory used [KB]: 5373
% 1.65/1.36 % (5420)Time elapsed: 0.001 s
% 1.65/1.36 % (5420)Instructions burned: 1 (million)
% 1.65/1.36 % (5420)------------------------------
% 1.65/1.36 % (5420)------------------------------
% 1.65/1.36 % (5421)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_5231 for (2999ds/879Mi)
% 1.65/1.36 % (5421)Refutation not found, incomplete strategy
% 1.65/1.36 % (5421)------------------------------
% 1.65/1.36 % (5421)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.36 % (5421)Termination reason: Refutation not found, incomplete strategy
% 1.65/1.36
% 1.65/1.36
% 1.65/1.36 % (5421)Memory used [KB]: 5373
% 1.65/1.36 % (5421)Time elapsed: 0.002 s
% 1.65/1.36 % (5421)Instructions burned: 1 (million)
% 1.65/1.36 % (5421)------------------------------
% 1.65/1.36 % (5421)------------------------------
% 1.65/1.37 % (5423)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_5231 for (2999ds/3Mi)
% 1.65/1.37 % (5424)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_5231 for (2999ds/30Mi)
% 1.65/1.37 % (5422)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_5231 for (2999ds/17Mi)
% 1.65/1.37 % (5423)Instruction limit reached!
% 1.65/1.37 % (5423)------------------------------
% 1.65/1.37 % (5423)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.37 % (5423)Termination reason: Unknown
% 1.65/1.37 % (5423)Termination phase: Saturation
% 1.65/1.37
% 1.65/1.37 % (5423)Memory used [KB]: 1023
% 1.65/1.37 % (5423)Time elapsed: 0.003 s
% 1.65/1.37 % (5423)Instructions burned: 4 (million)
% 1.65/1.37 % (5423)------------------------------
% 1.65/1.37 % (5423)------------------------------
% 1.65/1.37 % (5425)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_5231 for (2999ds/127Mi)
% 1.65/1.38 % (5422)Instruction limit reached!
% 1.65/1.38 % (5422)------------------------------
% 1.65/1.38 % (5422)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.38 % (5422)Termination reason: Unknown
% 1.65/1.38 % (5422)Termination phase: Saturation
% 1.65/1.38
% 1.65/1.38 % (5422)Memory used [KB]: 5756
% 1.65/1.38 % (5422)Time elapsed: 0.010 s
% 1.65/1.38 % (5422)Instructions burned: 17 (million)
% 1.65/1.38 % (5422)------------------------------
% 1.65/1.38 % (5422)------------------------------
% 1.65/1.38 % (5426)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_5231 for (2999ds/100Mi)
% 1.65/1.38 % (5424)Instruction limit reached!
% 1.65/1.38 % (5424)------------------------------
% 1.65/1.38 % (5424)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.38 % (5424)Termination reason: Unknown
% 1.65/1.38 % (5424)Termination phase: Saturation
% 1.65/1.38
% 1.65/1.38 % (5424)Memory used [KB]: 5756
% 1.65/1.38 % (5424)Time elapsed: 0.012 s
% 1.65/1.38 % (5424)Instructions burned: 32 (million)
% 1.65/1.38 % (5424)------------------------------
% 1.65/1.38 % (5424)------------------------------
% 1.65/1.39 % (5427)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on DTF2THF_5231 for (2999ds/3Mi)
% 1.65/1.39 % (5428)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on DTF2THF_5231 for (2999ds/20Mi)
% 1.65/1.39 % (5427)Instruction limit reached!
% 1.65/1.39 % (5427)------------------------------
% 1.65/1.39 % (5427)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.39 % (5427)Termination reason: Unknown
% 1.65/1.39 % (5427)Termination phase: Saturation
% 1.65/1.39
% 1.65/1.39 % (5427)Memory used [KB]: 5500
% 1.65/1.39 % (5427)Time elapsed: 0.003 s
% 1.65/1.39 % (5427)Instructions burned: 3 (million)
% 1.65/1.39 % (5427)------------------------------
% 1.65/1.39 % (5427)------------------------------
% 1.65/1.39 % (5428)Refutation not found, incomplete strategy
% 1.65/1.39 % (5428)------------------------------
% 1.65/1.39 % (5428)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.39 % (5428)Termination reason: Refutation not found, incomplete strategy
% 1.65/1.39
% 1.65/1.39
% 1.65/1.39 % (5428)Memory used [KB]: 5373
% 1.65/1.39 % (5428)Time elapsed: 0.001 s
% 1.65/1.39 % (5428)Instructions burned: 1 (million)
% 1.65/1.39 % (5428)------------------------------
% 1.65/1.39 % (5428)------------------------------
% 1.65/1.40 % (5426)Refutation not found, incomplete strategy
% 1.65/1.40 % (5426)------------------------------
% 1.65/1.40 % (5426)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.40 % (5426)Termination reason: Refutation not found, incomplete strategy
% 1.65/1.40
% 1.65/1.40
% 1.65/1.40 % (5426)Memory used [KB]: 5756
% 1.65/1.40 % (5426)Time elapsed: 0.015 s
% 1.65/1.40 % (5426)Instructions burned: 35 (million)
% 1.65/1.40 % (5426)------------------------------
% 1.65/1.40 % (5426)------------------------------
% 1.65/1.40 % (5430)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on DTF2THF_5231 for (2999ds/107Mi)
% 1.65/1.40 % (5392)Instruction limit reached!
% 1.65/1.40 % (5392)------------------------------
% 1.65/1.40 % (5392)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.40 % (5392)Termination reason: Unknown
% 1.65/1.40 % (5392)Termination phase: Saturation
% 1.65/1.40
% 1.65/1.40 % (5392)Memory used [KB]: 7164
% 1.65/1.40 % (5392)Time elapsed: 0.105 s
% 1.65/1.40 % (5392)Instructions burned: 184 (million)
% 1.65/1.40 % (5392)------------------------------
% 1.65/1.40 % (5392)------------------------------
% 1.65/1.40 % (5429)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on DTF2THF_5231 for (2999ds/86Mi)
% 1.65/1.40 % (5430)Refutation not found, incomplete strategy
% 1.65/1.40 % (5430)------------------------------
% 1.65/1.40 % (5430)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.40 % (5430)Termination reason: Refutation not found, incomplete strategy
% 1.65/1.40
% 1.65/1.40
% 1.65/1.40 % (5430)Memory used [KB]: 5373
% 1.65/1.40 % (5430)Time elapsed: 0.001 s
% 1.65/1.40 % (5430)Instructions burned: 1 (million)
% 1.65/1.40 % (5430)------------------------------
% 1.65/1.40 % (5430)------------------------------
% 1.65/1.41 % (5432)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on DTF2THF_5231 for (2999ds/39Mi)
% 1.65/1.41 % (5436)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on DTF2THF_5231 for (2998ds/46Mi)
% 1.65/1.41 % (5436)Refutation not found, incomplete strategy
% 1.65/1.41 % (5436)------------------------------
% 1.65/1.41 % (5436)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.41 % (5436)Termination reason: Refutation not found, incomplete strategy
% 1.65/1.41
% 1.65/1.41
% 1.65/1.41 % (5436)Memory used [KB]: 5373
% 1.65/1.41 % (5436)Time elapsed: 0.001 s
% 1.65/1.41 % (5436)Instructions burned: 1 (million)
% 1.65/1.41 % (5436)------------------------------
% 1.65/1.41 % (5436)------------------------------
% 1.65/1.42 % (5425)Instruction limit reached!
% 1.65/1.42 % (5425)------------------------------
% 1.65/1.42 % (5425)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.42 % (5425)Termination reason: Unknown
% 1.65/1.42 % (5425)Termination phase: Saturation
% 1.65/1.42
% 1.65/1.42 % (5425)Memory used [KB]: 6396
% 1.65/1.42 % (5425)Time elapsed: 0.046 s
% 1.65/1.42 % (5425)Instructions burned: 128 (million)
% 1.65/1.42 % (5425)------------------------------
% 1.65/1.42 % (5425)------------------------------
% 1.65/1.42 % (5435)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on DTF2THF_5231 for (2998ds/448Mi)
% 1.65/1.42 % (5435)Refutation not found, incomplete strategy
% 1.65/1.42 % (5435)------------------------------
% 1.65/1.42 % (5435)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.42 % (5435)Termination reason: Refutation not found, incomplete strategy
% 1.65/1.42
% 1.65/1.42
% 1.65/1.42 % (5435)Memory used [KB]: 5373
% 1.65/1.42 % (5435)Time elapsed: 0.002 s
% 1.65/1.42 % (5435)Instructions burned: 1 (million)
% 1.65/1.42 % (5435)------------------------------
% 1.65/1.42 % (5435)------------------------------
% 1.65/1.42 % (5432)Instruction limit reached!
% 1.65/1.42 % (5432)------------------------------
% 1.65/1.42 % (5432)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.42 % (5432)Termination reason: Unknown
% 1.65/1.42 % (5432)Termination phase: Saturation
% 1.65/1.42
% 1.65/1.42 % (5432)Memory used [KB]: 5884
% 1.65/1.42 % (5432)Time elapsed: 0.016 s
% 1.65/1.42 % (5432)Instructions burned: 40 (million)
% 1.65/1.42 % (5432)------------------------------
% 1.65/1.42 % (5432)------------------------------
% 1.65/1.42 % (5441)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on DTF2THF_5231 for (2998ds/98Mi)
% 1.65/1.43 % (5444)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on DTF2THF_5231 for (2998ds/507Mi)
% 1.65/1.43 % (5444)Refutation not found, incomplete strategy
% 1.65/1.43 % (5444)------------------------------
% 1.65/1.43 % (5444)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.43 % (5444)Termination reason: Refutation not found, incomplete strategy
% 1.65/1.43
% 1.65/1.43
% 1.65/1.43 % (5444)Memory used [KB]: 5500
% 1.65/1.43 % (5444)Time elapsed: 0.003 s
% 1.65/1.43 % (5444)Instructions burned: 1 (million)
% 1.65/1.43 % (5444)------------------------------
% 1.65/1.43 % (5444)------------------------------
% 1.65/1.43 % (5446)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on DTF2THF_5231 for (2998ds/149Mi)
% 1.65/1.43 % (5429)Instruction limit reached!
% 1.65/1.43 % (5429)------------------------------
% 1.65/1.43 % (5429)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.43 % (5429)Termination reason: Unknown
% 1.65/1.43 % (5429)Termination phase: Saturation
% 1.65/1.43
% 1.65/1.43 % (5429)Memory used [KB]: 6140
% 1.65/1.43 % (5429)Time elapsed: 0.032 s
% 1.65/1.43 % (5429)Instructions burned: 87 (million)
% 1.65/1.43 % (5429)------------------------------
% 1.65/1.43 % (5429)------------------------------
% 1.65/1.44 % (5447)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_5231 for (2998ds/39Mi)
% 1.65/1.44 % (5452)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on DTF2THF_5231 for (2998ds/6Mi)
% 1.65/1.44 % (5454)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1087:si=on:rtra=on_0 on DTF2THF_5231 for (2998ds/1087Mi)
% 1.65/1.44 % (5454)Refutation not found, incomplete strategy
% 1.65/1.44 % (5454)------------------------------
% 1.65/1.44 % (5454)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.44 % (5454)Termination reason: Refutation not found, incomplete strategy
% 1.65/1.44
% 1.65/1.44
% 1.65/1.44 % (5454)Memory used [KB]: 5373
% 1.65/1.44 % (5454)Time elapsed: 0.002 s
% 1.65/1.44 % (5454)Instructions burned: 1 (million)
% 1.65/1.44 % (5454)------------------------------
% 1.65/1.44 % (5454)------------------------------
% 1.65/1.44 % (5452)Instruction limit reached!
% 1.65/1.44 % (5452)------------------------------
% 1.65/1.44 % (5452)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.44 % (5452)Termination reason: Unknown
% 1.65/1.44 % (5452)Termination phase: Saturation
% 1.65/1.44
% 1.65/1.44 % (5452)Memory used [KB]: 9978
% 1.65/1.44 % (5452)Time elapsed: 0.005 s
% 1.65/1.44 % (5452)Instructions burned: 7 (million)
% 1.65/1.44 % (5452)------------------------------
% 1.65/1.44 % (5452)------------------------------
% 1.65/1.45 % (5441)Instruction limit reached!
% 1.65/1.45 % (5441)------------------------------
% 1.65/1.45 % (5441)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.45 % (5441)Termination reason: Unknown
% 1.65/1.45 % (5441)Termination phase: Saturation
% 1.65/1.45
% 1.65/1.45 % (5441)Memory used [KB]: 1151
% 1.65/1.45 % (5441)Time elapsed: 0.054 s
% 1.65/1.45 % (5441)Instructions burned: 101 (million)
% 1.65/1.45 % (5441)------------------------------
% 1.65/1.45 % (5441)------------------------------
% 1.65/1.45 % (5459)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_5231 for (2998ds/47Mi)
% 1.65/1.45 % (5460)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on DTF2THF_5231 for (2998ds/44Mi)
% 1.65/1.45 % (5460)Refutation not found, incomplete strategy
% 1.65/1.45 % (5460)------------------------------
% 1.65/1.45 % (5460)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.45 % (5460)Termination reason: Refutation not found, incomplete strategy
% 1.65/1.45
% 1.65/1.45
% 1.65/1.45 % (5460)Memory used [KB]: 895
% 1.65/1.45 % (5460)Time elapsed: 0.002 s
% 1.65/1.45 % (5460)Instructions burned: 2 (million)
% 1.65/1.45 % (5460)------------------------------
% 1.65/1.45 % (5460)------------------------------
% 1.65/1.46 % (5465)dis+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=432:si=on:rtra=on_0 on DTF2THF_5231 for (2998ds/432Mi)
% 1.65/1.46 % (5466)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_5231 for (2998ds/62Mi)
% 1.65/1.46 % (5447)Instruction limit reached!
% 1.65/1.46 % (5447)------------------------------
% 1.65/1.46 % (5447)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.46 % (5447)Termination reason: Unknown
% 1.65/1.46 % (5447)Termination phase: Saturation
% 1.65/1.46
% 1.65/1.46 % (5447)Memory used [KB]: 5756
% 1.65/1.46 % (5447)Time elapsed: 0.028 s
% 1.65/1.46 % (5447)Instructions burned: 39 (million)
% 1.65/1.46 % (5447)------------------------------
% 1.65/1.46 % (5447)------------------------------
% 1.65/1.47 % (5459)Instruction limit reached!
% 1.65/1.47 % (5459)------------------------------
% 1.65/1.47 % (5459)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.47 % (5459)Termination reason: Unknown
% 1.65/1.47 % (5459)Termination phase: Saturation
% 1.65/1.47
% 1.65/1.47 % (5459)Memory used [KB]: 5756
% 1.65/1.47 % (5459)Time elapsed: 0.019 s
% 1.65/1.47 % (5459)Instructions burned: 48 (million)
% 1.65/1.47 % (5459)------------------------------
% 1.65/1.47 % (5459)------------------------------
% 1.65/1.47 % (5418)Instruction limit reached!
% 1.65/1.47 % (5418)------------------------------
% 1.65/1.47 % (5418)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.47 % (5418)Termination reason: Unknown
% 1.65/1.47 % (5418)Termination phase: Saturation
% 1.65/1.47
% 1.65/1.47 % (5418)Memory used [KB]: 6652
% 1.65/1.47 % (5418)Time elapsed: 0.121 s
% 1.65/1.47 % (5418)Instructions burned: 379 (million)
% 1.65/1.47 % (5418)------------------------------
% 1.65/1.47 % (5418)------------------------------
% 1.65/1.48 % (5446)Instruction limit reached!
% 1.65/1.48 % (5446)------------------------------
% 1.65/1.48 % (5446)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.48 % (5446)Termination reason: Unknown
% 1.65/1.48 % (5446)Termination phase: Saturation
% 1.65/1.48
% 1.65/1.48 % (5446)Memory used [KB]: 6012
% 1.65/1.48 % (5446)Time elapsed: 0.050 s
% 1.65/1.48 % (5446)Instructions burned: 150 (million)
% 1.65/1.48 % (5446)------------------------------
% 1.65/1.48 % (5446)------------------------------
% 1.65/1.48 % (5474)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_5231 for (2998ds/96Mi)
% 1.65/1.48 % (5471)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on DTF2THF_5231 for (2998ds/31Mi)
% 1.65/1.48 % (5479)lrs+1002_1:4_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:hud=15:inj=on:nwc=4.0:s2a=on:sac=on:sp=reverse_arity:i=453:si=on:rtra=on_0 on DTF2THF_5231 for (2998ds/453Mi)
% 1.65/1.48 % (5466)Instruction limit reached!
% 1.65/1.48 % (5466)------------------------------
% 1.65/1.48 % (5466)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.48 % (5466)Termination reason: Unknown
% 1.65/1.48 % (5466)Termination phase: Saturation
% 1.65/1.48
% 1.65/1.48 % (5466)Memory used [KB]: 5756
% 1.65/1.48 % (5466)Time elapsed: 0.023 s
% 1.65/1.48 % (5466)Instructions burned: 63 (million)
% 1.65/1.48 % (5466)------------------------------
% 1.65/1.48 % (5466)------------------------------
% 1.65/1.49 % (5482)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on DTF2THF_5231 for (2998ds/71Mi)
% 1.65/1.49 % (5485)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_5231 for (2998ds/83Mi)
% 1.65/1.49 % (5485)Refutation not found, incomplete strategy
% 1.65/1.49 % (5485)------------------------------
% 1.65/1.49 % (5485)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.49 % (5485)Termination reason: Refutation not found, incomplete strategy
% 1.65/1.49
% 1.65/1.49
% 1.65/1.49 % (5485)Memory used [KB]: 5373
% 1.65/1.49 % (5485)Time elapsed: 0.002 s
% 1.65/1.49 % (5485)Instructions burned: 1 (million)
% 1.65/1.49 % (5485)------------------------------
% 1.65/1.49 % (5485)------------------------------
% 1.65/1.50 % (5479)Refutation not found, incomplete strategy
% 1.65/1.50 % (5479)------------------------------
% 1.65/1.50 % (5479)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.50 % (5479)Termination reason: Refutation not found, incomplete strategy
% 1.65/1.50
% 1.65/1.50
% 1.65/1.50 % (5479)Memory used [KB]: 5756
% 1.65/1.50 % (5479)Time elapsed: 0.021 s
% 1.65/1.50 % (5479)Instructions burned: 58 (million)
% 1.65/1.50 % (5479)------------------------------
% 1.65/1.50 % (5479)------------------------------
% 1.65/1.50 % (5471)Instruction limit reached!
% 1.65/1.50 % (5471)------------------------------
% 1.65/1.50 % (5471)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.50 % (5471)Termination reason: Unknown
% 1.65/1.50 % (5471)Termination phase: Saturation
% 1.65/1.50
% 1.65/1.50 % (5471)Memory used [KB]: 5884
% 1.65/1.50 % (5471)Time elapsed: 0.025 s
% 1.65/1.50 % (5471)Instructions burned: 31 (million)
% 1.65/1.50 % (5471)------------------------------
% 1.65/1.50 % (5471)------------------------------
% 1.65/1.50 % (5489)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_5231 for (2997ds/11Mi)
% 1.65/1.51 % (5489)Instruction limit reached!
% 1.65/1.51 % (5489)------------------------------
% 1.65/1.51 % (5489)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.51 % (5489)Termination reason: Unknown
% 1.65/1.51 % (5489)Termination phase: Saturation
% 1.65/1.51
% 1.65/1.51 % (5489)Memory used [KB]: 5500
% 1.65/1.51 % (5489)Time elapsed: 0.006 s
% 1.65/1.51 % (5489)Instructions burned: 12 (million)
% 1.65/1.51 % (5489)------------------------------
% 1.65/1.51 % (5489)------------------------------
% 1.65/1.51 % (5493)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_gen_be_off:fsr=off:spb=non_intro:i=41:si=on:rtra=on_0 on DTF2THF_5231 for (2997ds/41Mi)
% 1.65/1.51 % (5482)Instruction limit reached!
% 1.65/1.51 % (5482)------------------------------
% 1.65/1.51 % (5482)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.51 % (5482)Termination reason: Unknown
% 1.65/1.51 % (5482)Termination phase: Saturation
% 1.65/1.51
% 1.65/1.51 % (5482)Memory used [KB]: 5628
% 1.65/1.51 % (5482)Time elapsed: 0.026 s
% 1.65/1.51 % (5482)Instructions burned: 71 (million)
% 1.65/1.51 % (5482)------------------------------
% 1.65/1.51 % (5482)------------------------------
% 1.65/1.51 % (5493)Refutation not found, incomplete strategy
% 1.65/1.51 % (5493)------------------------------
% 1.65/1.51 % (5493)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.51 % (5493)Termination reason: Refutation not found, incomplete strategy
% 1.65/1.51
% 1.65/1.51
% 1.65/1.51 % (5493)Memory used [KB]: 5500
% 1.65/1.51 % (5493)Time elapsed: 0.003 s
% 1.65/1.51 % (5493)Instructions burned: 6 (million)
% 1.65/1.51 % (5493)------------------------------
% 1.65/1.51 % (5493)------------------------------
% 1.65/1.52 % (5474)Instruction limit reached!
% 1.65/1.52 % (5474)------------------------------
% 1.65/1.52 % (5474)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.52 % (5474)Termination reason: Unknown
% 1.65/1.52 % (5474)Termination phase: Saturation
% 1.65/1.52
% 1.65/1.52 % (5474)Memory used [KB]: 6268
% 1.65/1.52 % (5474)Time elapsed: 0.040 s
% 1.65/1.52 % (5474)Instructions burned: 98 (million)
% 1.65/1.52 % (5474)------------------------------
% 1.65/1.52 % (5474)------------------------------
% 1.65/1.52 % (5495)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_5231 for (2997ds/6Mi)
% 1.65/1.52 % (5497)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_5231 for (2997ds/150Mi)
% 1.65/1.52 % (5495)Instruction limit reached!
% 1.65/1.52 % (5495)------------------------------
% 1.65/1.52 % (5495)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.52 % (5495)Termination reason: Unknown
% 1.65/1.52 % (5495)Termination phase: Saturation
% 1.65/1.52
% 1.65/1.52 % (5495)Memory used [KB]: 5500
% 1.65/1.52 % (5495)Time elapsed: 0.005 s
% 1.65/1.52 % (5495)Instructions burned: 6 (million)
% 1.65/1.52 % (5495)------------------------------
% 1.65/1.52 % (5495)------------------------------
% 1.65/1.52 % (5500)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_5231 for (2997ds/343Mi)
% 1.65/1.52 % (5500)Refutation not found, incomplete strategy
% 1.65/1.52 % (5500)------------------------------
% 1.65/1.52 % (5500)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.52 % (5500)Termination reason: Refutation not found, incomplete strategy
% 1.65/1.52
% 1.65/1.52
% 1.65/1.52 % (5500)Memory used [KB]: 5373
% 1.65/1.52 % (5500)Time elapsed: 0.002 s
% 1.65/1.52 % (5500)Instructions burned: 1 (million)
% 1.65/1.52 % (5500)------------------------------
% 1.65/1.52 % (5500)------------------------------
% 1.65/1.52 % (5502)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=109:si=on:rtra=on_0 on DTF2THF_5231 for (2997ds/109Mi)
% 1.65/1.52 % (5502)Refutation not found, incomplete strategy
% 1.65/1.52 % (5502)------------------------------
% 1.65/1.52 % (5502)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.52 % (5502)Termination reason: Refutation not found, incomplete strategy
% 1.65/1.52
% 1.65/1.52
% 1.65/1.52 % (5502)Memory used [KB]: 5373
% 1.65/1.52 % (5502)Time elapsed: 0.001 s
% 1.65/1.52 % (5502)Instructions burned: 1 (million)
% 1.65/1.52 % (5502)------------------------------
% 1.65/1.52 % (5502)------------------------------
% 1.65/1.53 % (5504)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=253:si=on:rtra=on_0 on DTF2THF_5231 for (2997ds/253Mi)
% 1.65/1.53 % (5504)Refutation not found, incomplete strategy
% 1.65/1.53 % (5504)------------------------------
% 1.65/1.53 % (5504)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.53 % (5504)Termination reason: Refutation not found, incomplete strategy
% 1.65/1.53
% 1.65/1.53
% 1.65/1.53 % (5504)Memory used [KB]: 5373
% 1.65/1.53 % (5504)Time elapsed: 0.002 s
% 1.65/1.53 % (5504)Instructions burned: 1 (million)
% 1.65/1.53 % (5504)------------------------------
% 1.65/1.53 % (5504)------------------------------
% 1.65/1.53 % (5506)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_5231 for (2997ds/140Mi)
% 1.65/1.53 % (5506)Refutation not found, incomplete strategy
% 1.65/1.53 % (5506)------------------------------
% 1.65/1.53 % (5506)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.53 % (5506)Termination reason: Refutation not found, incomplete strategy
% 1.65/1.53
% 1.65/1.53
% 1.65/1.53 % (5506)Memory used [KB]: 5373
% 1.65/1.53 % (5506)Time elapsed: 0.002 s
% 1.65/1.53 % (5506)Instructions burned: 1 (million)
% 1.65/1.53 % (5506)------------------------------
% 1.65/1.53 % (5506)------------------------------
% 1.65/1.53 % (5509)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=614:si=on:rtra=on_0 on DTF2THF_5231 for (2997ds/614Mi)
% 1.65/1.53 % (5510)lrs+1002_1:1_e2e=on:fde=unused:fe=axiom:prag=on:sd=1:sos=on:ss=axioms:st=2.0:i=202:si=on:rtra=on_0 on DTF2THF_5231 for (2997ds/202Mi)
% 1.65/1.53 % (5510)Refutation not found, incomplete strategy
% 1.65/1.53 % (5510)------------------------------
% 1.65/1.53 % (5510)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.53 % (5510)Termination reason: Refutation not found, incomplete strategy
% 1.65/1.53
% 1.65/1.53
% 1.65/1.53 % (5510)Memory used [KB]: 5373
% 1.65/1.53 % (5510)Time elapsed: 0.001 s
% 1.65/1.53 % (5510)Instructions burned: 1 (million)
% 1.65/1.53 % (5510)------------------------------
% 1.65/1.53 % (5510)------------------------------
% 1.65/1.54 % (5511)dis+1002_1:1_au=on:cs=on:ins=3:kws=inv_frequency:nwc=10.0:ss=axioms:st=3.0:i=339:si=on:rtra=on_0 on DTF2THF_5231 for (2997ds/339Mi)
% 1.65/1.54 % (5511)Refutation not found, incomplete strategy
% 1.65/1.54 % (5511)------------------------------
% 1.65/1.54 % (5511)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.54 % (5511)Termination reason: Refutation not found, incomplete strategy
% 1.65/1.54
% 1.65/1.54
% 1.65/1.54 % (5511)Memory used [KB]: 5373
% 1.65/1.54 % (5511)Time elapsed: 0.002 s
% 1.65/1.54 % (5511)Instructions burned: 1 (million)
% 1.65/1.54 % (5511)------------------------------
% 1.65/1.54 % (5511)------------------------------
% 1.65/1.54 % (5514)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=283:si=on:rtra=on_0 on DTF2THF_5231 for (2997ds/283Mi)
% 1.65/1.54 % (5516)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_5231 for (2997ds/134Mi)
% 1.65/1.55 % (5519)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_5231 for (2997ds/298Mi)
% 1.65/1.57 % (5497)Instruction limit reached!
% 1.65/1.57 % (5497)------------------------------
% 1.65/1.57 % (5497)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.57 % (5497)Termination reason: Unknown
% 1.65/1.57 % (5497)Termination phase: Saturation
% 1.65/1.57
% 1.65/1.57 % (5497)Memory used [KB]: 6268
% 1.65/1.57 % (5497)Time elapsed: 0.053 s
% 1.65/1.57 % (5497)Instructions burned: 152 (million)
% 1.65/1.57 % (5497)------------------------------
% 1.65/1.57 % (5497)------------------------------
% 1.65/1.58 % (5529)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_5231 for (2997ds/192Mi)
% 1.65/1.58 % (5529)Refutation not found, incomplete strategy
% 1.65/1.58 % (5529)------------------------------
% 1.65/1.58 % (5529)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.58 % (5529)Termination reason: Refutation not found, incomplete strategy
% 1.65/1.58
% 1.65/1.58
% 1.65/1.58 % (5529)Memory used [KB]: 5500
% 1.65/1.58 % (5529)Time elapsed: 0.002 s
% 1.65/1.58 % (5529)Instructions burned: 1 (million)
% 1.65/1.58 % (5529)------------------------------
% 1.65/1.58 % (5529)------------------------------
% 1.65/1.58 % (5465)Instruction limit reached!
% 1.65/1.58 % (5465)------------------------------
% 1.65/1.58 % (5465)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.58 % (5465)Termination reason: Unknown
% 1.65/1.58 % (5465)Termination phase: Saturation
% 1.65/1.58
% 1.65/1.58 % (5465)Memory used [KB]: 2942
% 1.65/1.58 % (5465)Time elapsed: 0.124 s
% 1.65/1.58 % (5465)Instructions burned: 434 (million)
% 1.65/1.58 % (5465)------------------------------
% 1.65/1.58 % (5465)------------------------------
% 1.65/1.59 % (5516)Instruction limit reached!
% 1.65/1.59 % (5516)------------------------------
% 1.65/1.59 % (5516)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.59 % (5516)Termination reason: Unknown
% 1.65/1.59 % (5516)Termination phase: Saturation
% 1.65/1.59
% 1.65/1.59 % (5516)Memory used [KB]: 6396
% 1.65/1.59 % (5516)Time elapsed: 0.043 s
% 1.65/1.59 % (5516)Instructions burned: 134 (million)
% 1.65/1.59 % (5516)------------------------------
% 1.65/1.59 % (5516)------------------------------
% 1.65/1.59 % (5532)lrs+10_1:1_bd=off:hud=1:nm=0:prag=on:sd=2:sgt=32:sos=all:ss=axioms:i=258:si=on:rtra=on_0 on DTF2THF_5231 for (2997ds/258Mi)
% 1.65/1.59 % (5532)Refutation not found, incomplete strategy
% 1.65/1.59 % (5532)------------------------------
% 1.65/1.59 % (5532)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.59 % (5532)Termination reason: Refutation not found, incomplete strategy
% 1.65/1.59
% 1.65/1.59
% 1.65/1.59 % (5532)Memory used [KB]: 5373
% 1.65/1.59 % (5532)Time elapsed: 0.002 s
% 1.65/1.59 % (5532)Instructions burned: 1 (million)
% 1.65/1.59 % (5532)------------------------------
% 1.65/1.59 % (5532)------------------------------
% 1.65/1.59 % (5536)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on DTF2THF_5231 for (2997ds/90Mi)
% 1.65/1.60 % (5540)dis+1004_16:1_avsq=on:avsqr=1,16:cnfonf=lazy_gen:cs=on:fe=off:tgt=ground:tnu=1:i=231:si=on:rtra=on_0 on DTF2THF_5231 for (2997ds/231Mi)
% 1.65/1.60 % (5544)lrs+1002_1:1_au=on:s2a=on:sgt=32:slsq=on:slsqc=1:slsql=off:ss=axioms:i=458:si=on:rtra=on_0 on DTF2THF_5231 for (2997ds/458Mi)
% 1.65/1.60 % (5544)Refutation not found, incomplete strategy
% 1.65/1.60 % (5544)------------------------------
% 1.65/1.60 % (5544)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.60 % (5544)Termination reason: Refutation not found, incomplete strategy
% 1.65/1.60
% 1.65/1.60
% 1.65/1.60 % (5544)Memory used [KB]: 5373
% 1.65/1.60 % (5544)Time elapsed: 0.002 s
% 1.65/1.60 % (5544)Instructions burned: 1 (million)
% 1.65/1.60 % (5544)------------------------------
% 1.65/1.60 % (5544)------------------------------
% 1.65/1.61 % (5509)Refutation not found, incomplete strategy
% 1.65/1.61 % (5509)------------------------------
% 1.65/1.61 % (5509)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.61 % (5509)Termination reason: Refutation not found, incomplete strategy
% 1.65/1.61
% 1.65/1.61
% 1.65/1.61 % (5509)Memory used [KB]: 6524
% 1.65/1.61 % (5509)Time elapsed: 0.079 s
% 1.65/1.61 % (5509)Instructions burned: 212 (million)
% 1.65/1.61 % (5509)------------------------------
% 1.65/1.61 % (5509)------------------------------
% 1.65/1.61 % (5552)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on DTF2THF_5231 for (2996ds/31Mi)
% 1.65/1.62 % (5555)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:s2a=on:sp=weighted_frequency:ss=axioms:i=297:si=on:rtra=on_0 on DTF2THF_5231 for (2996ds/297Mi)
% 1.65/1.62 % (5555)Refutation not found, incomplete strategy
% 1.65/1.62 % (5555)------------------------------
% 1.65/1.62 % (5555)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.62 % (5555)Termination reason: Refutation not found, incomplete strategy
% 1.65/1.62
% 1.65/1.62
% 1.65/1.62 % (5555)Memory used [KB]: 5373
% 1.65/1.62 % (5555)Time elapsed: 0.002 s
% 1.65/1.62 % (5555)Instructions burned: 1 (million)
% 1.65/1.62 % (5555)------------------------------
% 1.65/1.62 % (5555)------------------------------
% 1.65/1.62 % (5536)Instruction limit reached!
% 1.65/1.62 % (5536)------------------------------
% 1.65/1.62 % (5536)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.62 % (5536)Termination reason: Unknown
% 1.65/1.62 % (5536)Termination phase: Saturation
% 1.65/1.62
% 1.65/1.62 % (5536)Memory used [KB]: 5884
% 1.65/1.62 % (5536)Time elapsed: 0.031 s
% 1.65/1.62 % (5536)Instructions burned: 91 (million)
% 1.65/1.62 % (5536)------------------------------
% 1.65/1.62 % (5536)------------------------------
% 1.65/1.63 % (5552)Instruction limit reached!
% 1.65/1.63 % (5552)------------------------------
% 1.65/1.63 % (5552)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.63 % (5552)Termination reason: Unknown
% 1.65/1.63 % (5552)Termination phase: Saturation
% 1.65/1.63
% 1.65/1.63 % (5552)Memory used [KB]: 5756
% 1.65/1.63 % (5552)Time elapsed: 0.036 s
% 1.65/1.63 % (5552)Instructions burned: 33 (million)
% 1.65/1.63 % (5552)------------------------------
% 1.65/1.63 % (5552)------------------------------
% 1.65/1.63 % (5514)Instruction limit reached!
% 1.65/1.63 % (5514)------------------------------
% 1.65/1.63 % (5514)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.63 % (5514)Termination reason: Unknown
% 1.65/1.63 % (5514)Termination phase: Saturation
% 1.65/1.63
% 1.65/1.63 % (5514)Memory used [KB]: 6396
% 1.65/1.63 % (5514)Time elapsed: 0.091 s
% 1.65/1.63 % (5514)Instructions burned: 286 (million)
% 1.65/1.63 % (5514)------------------------------
% 1.65/1.63 % (5514)------------------------------
% 1.65/1.63 % (5557)lrs+10_1:1024_avsq=on:avsqc=4:avsqr=584411,1048576:bd=off:bet=on:br=off:chr=on:fsd=on:fsdmm=1:hud=10:nm=0:ntd=on:nwc=9.0:piset=or:plsq=on:plsqc=2:plsql=on:plsqr=852219,1048576:rawr=on:sp=const_frequency:spb=units:i=182:si=on:rtra=on_0 on DTF2THF_5231 for (2996ds/182Mi)
% 1.65/1.63 % (5556)dis+2_1:4_amm=off:au=on:cbe=off:cnfonf=lazy_gen:hfaw=0:hfsq=on:hfsql=off:plsq=on:plsqc=1:plsqr=35,4:sac=on:i=987:si=on:rtra=on_0 on DTF2THF_5231 for (2996ds/987Mi)
% 1.65/1.64 % (5562)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=182:si=on:rtra=on_0 on DTF2THF_5231 for (2996ds/182Mi)
% 1.65/1.64 % (5568)dis+10_1:8_cha=on:cnfonf=lazy_pi_sigma_gen:fe=axiom:hud=5:plsq=on:plsqr=32,1:prag=on:sos=all:i=154:si=on:rtra=on_0 on DTF2THF_5231 for (2996ds/154Mi)
% 1.65/1.64 % (5568)Refutation not found, incomplete strategy
% 1.65/1.64 % (5568)------------------------------
% 1.65/1.64 % (5568)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.64 % (5568)Termination reason: Refutation not found, incomplete strategy
% 1.65/1.64
% 1.65/1.64
% 1.65/1.64 % (5568)Memory used [KB]: 5500
% 1.65/1.64 % (5568)Time elapsed: 0.002 s
% 1.65/1.64 % (5568)Instructions burned: 1 (million)
% 1.65/1.64 % (5568)------------------------------
% 1.65/1.64 % (5568)------------------------------
% 1.65/1.65 % (5519)Instruction limit reached!
% 1.65/1.65 % (5519)------------------------------
% 1.65/1.65 % (5519)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.65 % (5519)Termination reason: Unknown
% 1.65/1.65 % (5519)Termination phase: Saturation
% 1.65/1.65
% 1.65/1.65 % (5519)Memory used [KB]: 7291
% 1.65/1.65 % (5519)Time elapsed: 0.102 s
% 1.65/1.65 % (5519)Instructions burned: 298 (million)
% 1.65/1.65 % (5519)------------------------------
% 1.65/1.65 % (5519)------------------------------
% 1.65/1.65 % (5576)dis+1003_1:64_atotf=0.4:au=on:fsr=off:hflw=5:hfsq=on:hfsqc=20:hfsql=off:plsq=on:plsqc=1:plsqr=32,1:i=79:si=on:rtra=on_0 on DTF2THF_5231 for (2996ds/79Mi)
% 1.65/1.66 % (5580)dis+1010_5:2_anc=all_dependent:awrs=converge:bd=off:bet=on:c=on:cha=on:cnfonf=lazy_not_gen_be_off:fe=axiom:hud=5:kws=precedence:piset=and:prag=on:s2a=on:sac=on:slsq=on:slsqc=1:sp=reverse_arity:ss=axioms:st=1.5:i=216:si=on:rtra=on_0 on DTF2THF_5231 for (2996ds/216Mi)
% 1.65/1.66 % (5580)Refutation not found, incomplete strategy
% 1.65/1.66 % (5580)------------------------------
% 1.65/1.66 % (5580)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.66 % (5580)Termination reason: Refutation not found, incomplete strategy
% 1.65/1.66
% 1.65/1.66
% 1.65/1.66 % (5580)Memory used [KB]: 5500
% 1.65/1.66 % (5580)Time elapsed: 0.001 s
% 1.65/1.66 % (5580)------------------------------
% 1.65/1.66 % (5580)------------------------------
% 1.65/1.67 % (5586)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on DTF2THF_5231 for (2996ds/114Mi)
% 1.65/1.67 % (5540)Instruction limit reached!
% 1.65/1.67 % (5540)------------------------------
% 1.65/1.67 % (5540)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.67 % (5540)Termination reason: Unknown
% 1.65/1.67 % (5540)Termination phase: Saturation
% 1.65/1.67
% 1.65/1.67 % (5540)Memory used [KB]: 6524
% 1.65/1.67 % (5540)Time elapsed: 0.080 s
% 1.65/1.67 % (5540)Instructions burned: 233 (million)
% 1.65/1.67 % (5540)------------------------------
% 1.65/1.67 % (5540)------------------------------
% 1.65/1.68 % (5576)Instruction limit reached!
% 1.65/1.68 % (5576)------------------------------
% 1.65/1.68 % (5576)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.68 % (5576)Termination reason: Unknown
% 1.65/1.68 % (5576)Termination phase: Saturation
% 1.65/1.68
% 1.65/1.68 % (5576)Memory used [KB]: 5884
% 1.65/1.68 % (5576)Time elapsed: 0.031 s
% 1.65/1.68 % (5576)Instructions burned: 79 (million)
% 1.65/1.68 % (5576)------------------------------
% 1.65/1.68 % (5576)------------------------------
% 1.65/1.68 % (5590)dis+1002_1:1_acc=on:au=on:bd=off:e2e=on:sgt=8:ss=axioms:i=922:si=on:rtra=on_0 on DTF2THF_5231 for (2996ds/922Mi)
% 1.65/1.68 % (5590)Refutation not found, incomplete strategy
% 1.65/1.68 % (5590)------------------------------
% 1.65/1.68 % (5590)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.68 % (5590)Termination reason: Refutation not found, incomplete strategy
% 1.65/1.68
% 1.65/1.68
% 1.65/1.68 % (5590)Memory used [KB]: 5373
% 1.65/1.68 % (5590)Time elapsed: 0.001 s
% 1.65/1.68 % (5590)Instructions burned: 1 (million)
% 1.65/1.68 % (5590)------------------------------
% 1.65/1.68 % (5590)------------------------------
% 1.65/1.69 % (5598)lrs+10_1:128_au=on:bd=off:cnfonf=lazy_not_gen_be_off:nwc=10.0:piset=and:i=182:si=on:rtra=on_0 on DTF2THF_5231 for (2996ds/182Mi)
% 1.65/1.69 % (5601)ott+1010_1:1024_au=on:av=off:c=on:cnfonf=conj_eager:piset=equals:s2a=on:sp=occurrence:spb=units:ss=axioms:i=164:si=on:rtra=on_0 on DTF2THF_5231 for (2996ds/164Mi)
% 1.65/1.69 % (5601)Refutation not found, incomplete strategy
% 1.65/1.69 % (5601)------------------------------
% 1.65/1.69 % (5601)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.69 % (5601)Termination reason: Refutation not found, incomplete strategy
% 1.65/1.69
% 1.65/1.69
% 1.65/1.69 % (5601)Memory used [KB]: 895
% 1.65/1.69 % (5601)Time elapsed: 0.001 s
% 1.65/1.69 % (5601)Instructions burned: 1 (million)
% 1.65/1.69 % (5601)------------------------------
% 1.65/1.69 % (5601)------------------------------
% 1.65/1.70 % (5557)Instruction limit reached!
% 1.65/1.70 % (5557)------------------------------
% 1.65/1.70 % (5557)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.70 % (5557)Termination reason: Unknown
% 1.65/1.70 % (5557)Termination phase: Saturation
% 1.65/1.70
% 1.65/1.70 % (5557)Memory used [KB]: 6780
% 1.65/1.70 % (5557)Time elapsed: 0.090 s
% 1.65/1.70 % (5557)Instructions burned: 183 (million)
% 1.65/1.70 % (5557)------------------------------
% 1.65/1.70 % (5557)------------------------------
% 1.65/1.70 % (5562)Instruction limit reached!
% 1.65/1.70 % (5562)------------------------------
% 1.65/1.70 % (5562)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.70 % (5562)Termination reason: Unknown
% 1.65/1.70 % (5562)Termination phase: Saturation
% 1.65/1.70
% 1.65/1.70 % (5562)Memory used [KB]: 6140
% 1.65/1.70 % (5562)Time elapsed: 0.092 s
% 1.65/1.70 % (5562)Instructions burned: 184 (million)
% 1.65/1.70 % (5562)------------------------------
% 1.65/1.70 % (5562)------------------------------
% 1.65/1.70 % (5403)Instruction limit reached!
% 1.65/1.70 % (5403)------------------------------
% 1.65/1.70 % (5403)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.70 % (5403)Termination reason: Unknown
% 1.65/1.70 % (5403)Termination phase: Saturation
% 1.65/1.70
% 1.65/1.70 % (5403)Memory used [KB]: 7675
% 1.65/1.70 % (5403)Time elapsed: 0.387 s
% 1.65/1.70 % (5403)Instructions burned: 1043 (million)
% 1.65/1.70 % (5403)------------------------------
% 1.65/1.70 % (5403)------------------------------
% 1.65/1.70 % (5605)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=50:si=on:rtra=on_0 on DTF2THF_5231 for (2995ds/50Mi)
% 1.65/1.70 % (5586)Instruction limit reached!
% 1.65/1.70 % (5586)------------------------------
% 1.65/1.70 % (5586)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.70 % (5586)Termination reason: Unknown
% 1.65/1.70 % (5586)Termination phase: Saturation
% 1.65/1.70
% 1.65/1.70 % (5586)Memory used [KB]: 6012
% 1.65/1.70 % (5586)Time elapsed: 0.037 s
% 1.65/1.70 % (5586)Instructions burned: 116 (million)
% 1.65/1.70 % (5586)------------------------------
% 1.65/1.70 % (5586)------------------------------
% 1.65/1.71 % (5606)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on DTF2THF_5231 for (2995ds/368Mi)
% 1.65/1.71 % (5609)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1021:si=on:rtra=on_0 on DTF2THF_5231 for (2995ds/1021Mi)
% 1.65/1.71 % (5610)dis+10_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=267:si=on:rtra=on_0 on DTF2THF_5231 for (2995ds/267Mi)
% 1.65/1.71 % (5612)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=204:si=on:rtra=on_0 on DTF2THF_5231 for (2995ds/204Mi)
% 1.65/1.71 % (5612)Refutation not found, incomplete strategy
% 1.65/1.71 % (5612)------------------------------
% 1.65/1.71 % (5612)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.71 % (5612)Termination reason: Refutation not found, incomplete strategy
% 1.65/1.71
% 1.65/1.71
% 1.65/1.71 % (5612)Memory used [KB]: 5373
% 1.65/1.71 % (5612)Time elapsed: 0.001 s
% 1.65/1.71 % (5612)Instructions burned: 1 (million)
% 1.65/1.71 % (5612)------------------------------
% 1.65/1.71 % (5612)------------------------------
% 1.65/1.72 % (5605)Instruction limit reached!
% 1.65/1.72 % (5605)------------------------------
% 1.65/1.72 % (5605)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.72 % (5605)Termination reason: Unknown
% 1.65/1.72 % (5605)Termination phase: Saturation
% 1.65/1.72
% 1.65/1.72 % (5605)Memory used [KB]: 10618
% 1.65/1.72 % (5605)Time elapsed: 0.017 s
% 1.65/1.72 % (5605)Instructions burned: 50 (million)
% 1.65/1.72 % (5605)------------------------------
% 1.65/1.72 % (5605)------------------------------
% 1.65/1.72 % (5619)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on DTF2THF_5231 for (2995ds/26Mi)
% 1.65/1.73 % (5622)dis+1002_1:1_bd=preordered:c=on:cbe=off:cnfonf=lazy_not_gen_be_off:hud=10:ixr=off:prag=on:i=53:si=on:rtra=on_0 on DTF2THF_5231 for (2995ds/53Mi)
% 1.65/1.73 % (5619)Instruction limit reached!
% 1.65/1.73 % (5619)------------------------------
% 1.65/1.73 % (5619)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.73 % (5619)Termination reason: Unknown
% 1.65/1.73 % (5619)Termination phase: Saturation
% 1.65/1.73
% 1.65/1.73 % (5619)Memory used [KB]: 5628
% 1.65/1.73 % (5619)Time elapsed: 0.010 s
% 1.65/1.73 % (5619)Instructions burned: 26 (million)
% 1.65/1.73 % (5619)------------------------------
% 1.65/1.73 % (5619)------------------------------
% 1.65/1.74 % (5628)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=4436:si=on:rtra=on_0 on DTF2THF_5231 for (2995ds/4436Mi)
% 1.65/1.74 % (5628)Refutation not found, incomplete strategy
% 1.65/1.74 % (5628)------------------------------
% 1.65/1.74 % (5628)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.74 % (5628)Termination reason: Refutation not found, incomplete strategy
% 1.65/1.74
% 1.65/1.74
% 1.65/1.74 % (5628)Memory used [KB]: 5373
% 1.65/1.74 % (5628)Time elapsed: 0.001 s
% 1.65/1.74 % (5628)------------------------------
% 1.65/1.74 % (5628)------------------------------
% 1.65/1.75 % (5622)Instruction limit reached!
% 1.65/1.75 % (5622)------------------------------
% 1.65/1.75 % (5622)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.75 % (5622)Termination reason: Unknown
% 1.65/1.75 % (5622)Termination phase: Saturation
% 1.65/1.75
% 1.65/1.75 % (5622)Memory used [KB]: 5756
% 1.65/1.75 % (5622)Time elapsed: 0.019 s
% 1.65/1.75 % (5622)Instructions burned: 55 (million)
% 1.65/1.75 % (5622)------------------------------
% 1.65/1.75 % (5622)------------------------------
% 1.65/1.75 % (5598)Instruction limit reached!
% 1.65/1.75 % (5598)------------------------------
% 1.65/1.75 % (5598)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.75 % (5598)Termination reason: Unknown
% 1.65/1.75 % (5598)Termination phase: Saturation
% 1.65/1.75
% 1.65/1.75 % (5598)Memory used [KB]: 5756
% 1.65/1.75 % (5598)Time elapsed: 0.062 s
% 1.65/1.75 % (5598)Instructions burned: 184 (million)
% 1.65/1.75 % (5598)------------------------------
% 1.65/1.75 % (5598)------------------------------
% 1.65/1.75 % (5632)dis+1010_1:1_acc=model:avsq=on:ixr=off:prag=on:s2a=on:sac=on:i=1539:si=on:rtra=on_0 on DTF2THF_5231 for (2995ds/1539Mi)
% 1.65/1.76 % (5635)lrs+2_1:1_bd=off:e2e=on:fde=none:kws=inv_precedence:plsq=on:plsqr=32,1:sos=on:i=408:si=on:rtra=on_0 on DTF2THF_5231 for (2995ds/408Mi)
% 1.65/1.76 % (5635)Refutation not found, incomplete strategy
% 1.65/1.76 % (5635)------------------------------
% 1.65/1.76 % (5635)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.76 % (5635)Termination reason: Refutation not found, incomplete strategy
% 1.65/1.76
% 1.65/1.76
% 1.65/1.76 % (5635)Memory used [KB]: 5500
% 1.65/1.76 % (5635)Time elapsed: 0.001 s
% 1.65/1.76 % (5635)Instructions burned: 1 (million)
% 1.65/1.76 % (5635)------------------------------
% 1.65/1.76 % (5635)------------------------------
% 1.65/1.76 % (5637)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=5205:si=on:rtra=on_0 on DTF2THF_5231 for (2995ds/5205Mi)
% 1.65/1.77 % (5639)dis+1010_1:4_au=on:av=off:cbe=off:nwc=10.0:s2a=on:s2at=3.0:sd=2:ss=axioms:st=5.0:i=1913:si=on:rtra=on_0 on DTF2THF_5231 for (2995ds/1913Mi)
% 1.65/1.77 % (5639)Refutation not found, incomplete strategy
% 1.65/1.77 % (5639)------------------------------
% 1.65/1.77 % (5639)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.77 % (5639)Termination reason: Refutation not found, incomplete strategy
% 1.65/1.77
% 1.65/1.77
% 1.65/1.77 % (5639)Memory used [KB]: 895
% 1.65/1.77 % (5639)Time elapsed: 0.001 s
% 1.65/1.77 % (5639)Instructions burned: 1 (million)
% 1.65/1.77 % (5639)------------------------------
% 1.65/1.77 % (5639)------------------------------
% 1.65/1.78 % (5643)lrs+2_1:1_bd=off:cbe=off:piset=equals:sd=1:sgt=20:sos=all:ss=axioms:i=4350:si=on:rtra=on_0 on DTF2THF_5231 for (2995ds/4350Mi)
% 1.65/1.78 % (5643)Refutation not found, incomplete strategy
% 1.65/1.78 % (5643)------------------------------
% 1.65/1.78 % (5643)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.78 % (5643)Termination reason: Refutation not found, incomplete strategy
% 1.65/1.78
% 1.65/1.78
% 1.65/1.78 % (5643)Memory used [KB]: 5373
% 1.65/1.78 % (5643)Time elapsed: 0.001 s
% 1.65/1.78 % (5643)Instructions burned: 1 (million)
% 1.65/1.78 % (5643)------------------------------
% 1.65/1.78 % (5643)------------------------------
% 1.65/1.79 % (5647)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=68:si=on:rtra=on_0 on DTF2THF_5231 for (2995ds/68Mi)
% 1.65/1.79 % (5647)Refutation not found, incomplete strategy
% 1.65/1.79 % (5647)------------------------------
% 1.65/1.79 % (5647)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.79 % (5647)Termination reason: Refutation not found, incomplete strategy
% 1.65/1.79
% 1.65/1.79
% 1.65/1.79 % (5647)Memory used [KB]: 5373
% 1.65/1.79 % (5647)Time elapsed: 0.001 s
% 1.65/1.79 % (5647)Instructions burned: 1 (million)
% 1.65/1.79 % (5647)------------------------------
% 1.65/1.79 % (5647)------------------------------
% 1.65/1.80 % (5610)Instruction limit reached!
% 1.65/1.80 % (5610)------------------------------
% 1.65/1.80 % (5610)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.80 % (5610)Termination reason: Unknown
% 1.65/1.80 % (5610)Termination phase: Saturation
% 1.65/1.80
% 1.65/1.80 % (5610)Memory used [KB]: 6140
% 1.65/1.80 % (5610)Time elapsed: 0.085 s
% 1.65/1.80 % (5610)Instructions burned: 268 (million)
% 1.65/1.80 % (5610)------------------------------
% 1.65/1.80 % (5610)------------------------------
% 1.65/1.80 % (5653)dis+10_1:1_au=on:nwc=5.0:s2a=on:s2at=2.0:sac=on:sd=7:ss=axioms:st=2.0:i=358:si=on:rtra=on_0 on DTF2THF_5231 for (2995ds/358Mi)
% 1.65/1.80 % (5653)Refutation not found, incomplete strategy
% 1.65/1.80 % (5653)------------------------------
% 1.65/1.80 % (5653)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.80 % (5653)Termination reason: Refutation not found, incomplete strategy
% 1.65/1.80
% 1.65/1.80
% 1.65/1.80 % (5653)Memory used [KB]: 5373
% 1.65/1.80 % (5653)Time elapsed: 0.001 s
% 1.65/1.80 % (5653)Instructions burned: 1 (million)
% 1.65/1.80 % (5653)------------------------------
% 1.65/1.80 % (5653)------------------------------
% 1.65/1.80 % (5556)Refutation not found, incomplete strategy
% 1.65/1.80 % (5556)------------------------------
% 1.65/1.80 % (5556)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.80 % (5556)Termination reason: Refutation not found, incomplete strategy
% 1.65/1.80
% 1.65/1.80
% 1.65/1.80 % (5556)Memory used [KB]: 6652
% 1.65/1.80 % (5556)Time elapsed: 0.189 s
% 1.65/1.80 % (5556)Instructions burned: 521 (million)
% 1.65/1.80 % (5556)------------------------------
% 1.65/1.80 % (5556)------------------------------
% 1.65/1.80 % (5657)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on DTF2THF_5231 for (2995ds/31Mi)
% 1.65/1.81 % (5660)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on DTF2THF_5231 for (2994ds/258Mi)
% 1.65/1.81 % (5659)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on DTF2THF_5231 for (2994ds/279Mi)
% 1.65/1.82 % (5659)Refutation not found, incomplete strategy
% 1.65/1.82 % (5659)------------------------------
% 1.65/1.82 % (5659)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.82 % (5659)Termination reason: Refutation not found, incomplete strategy
% 1.65/1.82
% 1.65/1.82
% 1.65/1.82 % (5659)Memory used [KB]: 5373
% 1.65/1.82 % (5659)Time elapsed: 0.003 s
% 1.65/1.82 % (5659)Instructions burned: 2 (million)
% 1.65/1.82 % (5659)------------------------------
% 1.65/1.82 % (5659)------------------------------
% 1.65/1.82 % (5657)Instruction limit reached!
% 1.65/1.82 % (5657)------------------------------
% 1.65/1.82 % (5657)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.82 % (5657)Termination reason: Unknown
% 1.65/1.82 % (5657)Termination phase: Saturation
% 1.65/1.82
% 1.65/1.82 % (5657)Memory used [KB]: 5756
% 1.65/1.82 % (5657)Time elapsed: 0.013 s
% 1.65/1.82 % (5657)Instructions burned: 32 (million)
% 1.65/1.82 % (5657)------------------------------
% 1.65/1.82 % (5657)------------------------------
% 1.65/1.82 % (5606)Instruction limit reached!
% 1.65/1.82 % (5606)------------------------------
% 1.65/1.82 % (5606)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.82 % (5606)Termination reason: Unknown
% 1.65/1.82 % (5606)Termination phase: Saturation
% 1.65/1.82
% 1.65/1.82 % (5606)Memory used [KB]: 8059
% 1.65/1.82 % (5606)Time elapsed: 0.118 s
% 1.65/1.82 % (5606)Instructions burned: 369 (million)
% 1.65/1.82 % (5606)------------------------------
% 1.65/1.82 % (5606)------------------------------
% 1.65/1.83 % (5668)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=995:si=on:rtra=on_0 on DTF2THF_5231 for (2994ds/995Mi)
% 1.65/1.83 % (5667)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on DTF2THF_5231 for (2994ds/26Mi)
% 1.65/1.83 % (5671)dis+10_1:8_amm=sco:cbe=off:hflw=5:hfsq=on:hfsqc=14:hfsql=off:hfsqr=4,1:hud=5:ile=on:lma=on:nm=2:ntd=on:prag=on:sac=on:sp=frequency:i=373:si=on:rtra=on_0 on DTF2THF_5231 for (2994ds/373Mi)
% 1.65/1.84 % (5668)Refutation not found, incomplete strategy
% 1.65/1.84 % (5668)------------------------------
% 1.65/1.84 % (5668)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.84 % (5668)Termination reason: Refutation not found, incomplete strategy
% 1.65/1.84
% 1.65/1.84
% 1.65/1.84 % (5668)Memory used [KB]: 5756
% 1.65/1.84 % (5668)Time elapsed: 0.035 s
% 1.65/1.84 % (5668)Instructions burned: 36 (million)
% 1.65/1.84 % (5668)------------------------------
% 1.65/1.84 % (5668)------------------------------
% 1.65/1.85 % (5675)lrs+1010_1:128_au=on:cnfonf=lazy_pi_sigma_gen:hflw=4:hfsq=on:hfsqc=20:hfsql=off:i=253:si=on:rtra=on_0 on DTF2THF_5231 for (2994ds/253Mi)
% 1.65/1.85 % (5667)Instruction limit reached!
% 1.65/1.85 % (5667)------------------------------
% 1.65/1.85 % (5667)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.85 % (5667)Termination reason: Unknown
% 1.65/1.85 % (5667)Termination phase: Saturation
% 1.65/1.85
% 1.65/1.85 % (5667)Memory used [KB]: 5628
% 1.65/1.85 % (5667)Time elapsed: 0.019 s
% 1.65/1.85 % (5667)Instructions burned: 26 (million)
% 1.65/1.85 % (5667)------------------------------
% 1.65/1.85 % (5667)------------------------------
% 1.65/1.87 % (5679)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=832:si=on:rtra=on_0 on DTF2THF_5231 for (2994ds/832Mi)
% 1.65/1.87 % (5679)Refutation not found, incomplete strategy
% 1.65/1.87 % (5679)------------------------------
% 1.65/1.87 % (5679)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.87 % (5679)Termination reason: Refutation not found, incomplete strategy
% 1.65/1.87
% 1.65/1.87
% 1.65/1.87 % (5679)Memory used [KB]: 5500
% 1.65/1.87 % (5679)Time elapsed: 0.003 s
% 1.65/1.87 % (5679)Instructions burned: 2 (million)
% 1.65/1.87 % (5679)------------------------------
% 1.65/1.87 % (5679)------------------------------
% 1.65/1.89 % (5689)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=668:si=on:rtra=on_0 on DTF2THF_5231 for (2994ds/668Mi)
% 1.65/1.89 % (5660)Instruction limit reached!
% 1.65/1.89 % (5660)------------------------------
% 1.65/1.89 % (5660)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.89 % (5660)Termination reason: Unknown
% 1.65/1.89 % (5660)Termination phase: Saturation
% 1.65/1.89
% 1.65/1.89 % (5660)Memory used [KB]: 6268
% 1.65/1.89 % (5660)Time elapsed: 0.084 s
% 1.65/1.89 % (5660)Instructions burned: 259 (million)
% 1.65/1.89 % (5660)------------------------------
% 1.65/1.89 % (5660)------------------------------
% 1.65/1.90 % (5695)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=40:si=on:rtra=on_0 on DTF2THF_5231 for (2994ds/40Mi)
% 1.65/1.91 % (5695)Instruction limit reached!
% 1.65/1.91 % (5695)------------------------------
% 1.65/1.91 % (5695)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.91 % (5695)Termination reason: Unknown
% 1.65/1.91 % (5695)Termination phase: Saturation
% 1.65/1.91
% 1.65/1.91 % (5695)Memory used [KB]: 5756
% 1.65/1.91 % (5695)Time elapsed: 0.037 s
% 1.65/1.91 % (5695)Instructions burned: 41 (million)
% 1.65/1.91 % (5695)------------------------------
% 1.65/1.91 % (5695)------------------------------
% 1.65/1.92 % (5706)lrs+1010_1:1_cnfonf=lazy_pi_sigma_gen:fd=off:ntd=on:sd=1:sgt=32:sos=on:ss=axioms:i=294:si=on:rtra=on_0 on DTF2THF_5231 for (2993ds/294Mi)
% 1.65/1.92 % (5706)Refutation not found, incomplete strategy
% 1.65/1.92 % (5706)------------------------------
% 1.65/1.92 % (5706)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.92 % (5706)Termination reason: Refutation not found, incomplete strategy
% 1.65/1.92
% 1.65/1.92
% 1.65/1.92 % (5706)Memory used [KB]: 5373
% 1.65/1.92 % (5706)Time elapsed: 0.001 s
% 1.65/1.92 % (5706)Instructions burned: 1 (million)
% 1.65/1.92 % (5706)------------------------------
% 1.65/1.92 % (5706)------------------------------
% 1.65/1.93 % (5713)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:plsq=on:plsqr=32,1:prag=on:i=187:si=on:rtra=on_0 on DTF2THF_5231 for (2993ds/187Mi)
% 1.65/1.93 % (5675)Instruction limit reached!
% 1.65/1.93 % (5675)------------------------------
% 1.65/1.93 % (5675)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.93 % (5675)Termination reason: Unknown
% 1.65/1.93 % (5675)Termination phase: Saturation
% 1.65/1.93
% 1.65/1.93 % (5675)Memory used [KB]: 6524
% 1.65/1.93 % (5675)Time elapsed: 0.106 s
% 1.65/1.93 % (5675)Instructions burned: 255 (million)
% 1.65/1.93 % (5675)------------------------------
% 1.65/1.93 % (5675)------------------------------
% 1.65/1.94 % (5721)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on DTF2THF_5231 for (2993ds/371Mi)
% 1.65/1.94 % (5721)Refutation not found, incomplete strategy
% 1.65/1.94 % (5721)------------------------------
% 1.65/1.94 % (5721)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.94 % (5721)Termination reason: Refutation not found, incomplete strategy
% 1.65/1.94
% 1.65/1.94
% 1.65/1.94 % (5721)Memory used [KB]: 5373
% 1.65/1.94 % (5721)Time elapsed: 0.001 s
% 1.65/1.94 % (5721)Instructions burned: 1 (million)
% 1.65/1.94 % (5721)------------------------------
% 1.65/1.94 % (5721)------------------------------
% 1.65/1.95 % (5728)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1827:si=on:rtra=on_0 on DTF2THF_5231 for (2993ds/1827Mi)
% 1.65/1.95 % (5671)Instruction limit reached!
% 1.65/1.95 % (5671)------------------------------
% 1.65/1.95 % (5671)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.95 % (5671)Termination reason: Unknown
% 1.65/1.95 % (5671)Termination phase: Saturation
% 1.65/1.95
% 1.65/1.95 % (5671)Memory used [KB]: 6396
% 1.65/1.95 % (5671)Time elapsed: 0.141 s
% 1.65/1.95 % (5671)Instructions burned: 373 (million)
% 1.65/1.95 % (5671)------------------------------
% 1.65/1.95 % (5671)------------------------------
% 1.65/1.96 % (5734)lrs+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:tnu=1:i=70:si=on:rtra=on_0 on DTF2THF_5231 for (2993ds/70Mi)
% 1.65/1.98 % (5734)Instruction limit reached!
% 1.65/1.98 % (5734)------------------------------
% 1.65/1.98 % (5734)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.98 % (5734)Termination reason: Unknown
% 1.65/1.98 % (5734)Termination phase: Saturation
% 1.65/1.98
% 1.65/1.98 % (5734)Memory used [KB]: 1407
% 1.65/1.98 % (5734)Time elapsed: 0.043 s
% 1.65/1.98 % (5734)Instructions burned: 72 (million)
% 1.65/1.98 % (5734)------------------------------
% 1.65/1.98 % (5734)------------------------------
% 1.65/1.99 % (5713)Instruction limit reached!
% 1.65/1.99 % (5713)------------------------------
% 1.65/1.99 % (5713)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.99 % (5713)Termination reason: Unknown
% 1.65/1.99 % (5713)Termination phase: Saturation
% 1.65/1.99
% 1.65/1.99 % (5713)Memory used [KB]: 6268
% 1.65/1.99 % (5713)Time elapsed: 0.084 s
% 1.65/1.99 % (5713)Instructions burned: 189 (million)
% 1.65/1.99 % (5713)------------------------------
% 1.65/1.99 % (5713)------------------------------
% 1.65/1.99 % (5741)lrs+10_1:20_bd=off:cnfonf=lazy_not_be_gen:fe=axiom:hud=10:ins=1:nm=20:prag=on:sos=on:i=316:si=on:rtra=on_0 on DTF2THF_5231 for (2993ds/316Mi)
% 1.65/1.99 % (5741)Refutation not found, incomplete strategy
% 1.65/1.99 % (5741)------------------------------
% 1.65/1.99 % (5741)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.99 % (5741)Termination reason: Refutation not found, incomplete strategy
% 1.65/1.99
% 1.65/1.99
% 1.65/1.99 % (5741)Memory used [KB]: 5500
% 1.65/1.99 % (5741)Time elapsed: 0.002 s
% 1.65/1.99 % (5741)Instructions burned: 4 (million)
% 1.65/1.99 % (5741)------------------------------
% 1.65/1.99 % (5741)------------------------------
% 1.65/2.00 % (5742)ott+1010_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=3548551,65536:s2a=on:i=932:si=on:rtra=on_0 on DTF2THF_5231 for (2992ds/932Mi)
% 1.65/2.00 % (5743)lrs+1010_1:128_au=on:bd=preordered:cnfonf=lazy_pi_sigma_gen:plsq=on:plsqc=1:plsqr=32,1:sos=all:sp=occurrence:i=4714:si=on:rtra=on_0 on DTF2THF_5231 for (2992ds/4714Mi)
% 1.65/2.00 % (5743)Refutation not found, incomplete strategy
% 1.65/2.00 % (5743)------------------------------
% 1.65/2.00 % (5743)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/2.00 % (5743)Termination reason: Refutation not found, incomplete strategy
% 1.65/2.00
% 1.65/2.00
% 1.65/2.00 % (5743)Memory used [KB]: 5500
% 1.65/2.00 % (5743)Time elapsed: 0.001 s
% 1.65/2.00 % (5743)Instructions burned: 1 (million)
% 1.65/2.00 % (5743)------------------------------
% 1.65/2.00 % (5743)------------------------------
% 6.69/2.01 % (5744)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=8250:si=on:rtra=on_0 on DTF2THF_5231 for (2992ds/8250Mi)
% 6.69/2.01 % (5609)Instruction limit reached!
% 6.69/2.01 % (5609)------------------------------
% 6.69/2.01 % (5609)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.69/2.01 % (5609)Termination reason: Unknown
% 6.69/2.01 % (5609)Termination phase: Saturation
% 6.69/2.01
% 6.69/2.01 % (5609)Memory used [KB]: 7036
% 6.69/2.01 % (5609)Time elapsed: 0.305 s
% 6.69/2.01 % (5609)Instructions burned: 1022 (million)
% 6.69/2.01 % (5609)------------------------------
% 6.69/2.01 % (5609)------------------------------
% 6.69/2.02 % (5745)lrs+1002_1:1_apa=on:cnfonf=off:fd=off:flr=on:hud=1:lcm=reverse:prag=on:sd=1:sos=on:ss=axioms:i=770:si=on:rtra=on_0 on DTF2THF_5231 for (2992ds/770Mi)
% 6.69/2.02 % (5745)Refutation not found, incomplete strategy
% 6.69/2.02 % (5745)------------------------------
% 6.69/2.02 % (5745)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.69/2.02 % (5745)Termination reason: Refutation not found, incomplete strategy
% 6.69/2.02
% 6.69/2.02
% 6.69/2.02 % (5745)Memory used [KB]: 5373
% 6.69/2.02 % (5745)Time elapsed: 0.001 s
% 6.69/2.02 % (5745)Instructions burned: 1 (million)
% 6.69/2.02 % (5745)------------------------------
% 6.69/2.02 % (5745)------------------------------
% 6.69/2.03 % (5746)ott+1010_5:1_av=off:fe=off:ins=1:kws=precedence:sp=reverse_arity:i=794:si=on:rtra=on_0 on DTF2THF_5231 for (2992ds/794Mi)
% 7.21/2.15 % (5689)Instruction limit reached!
% 7.21/2.15 % (5689)------------------------------
% 7.21/2.15 % (5689)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.21/2.15 % (5689)Termination reason: Unknown
% 7.21/2.15 % (5689)Termination phase: Saturation
% 7.21/2.15
% 7.21/2.15 % (5689)Memory used [KB]: 12792
% 7.21/2.15 % (5689)Time elapsed: 0.283 s
% 7.21/2.15 % (5689)Instructions burned: 668 (million)
% 7.21/2.15 % (5689)------------------------------
% 7.21/2.15 % (5689)------------------------------
% 7.21/2.16 % (5747)dis+1002_1:1_au=on:avsq=on:avsqr=1,16:cond=on:sp=frequency:i=464:si=on:rtra=on_0 on DTF2THF_5231 for (2991ds/464Mi)
% 7.62/2.22 % (5632)Instruction limit reached!
% 7.62/2.22 % (5632)------------------------------
% 7.62/2.22 % (5632)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.62/2.22 % (5632)Termination reason: Unknown
% 7.62/2.22 % (5632)Termination phase: Saturation
% 7.62/2.22
% 7.62/2.22 % (5632)Memory used [KB]: 8059
% 7.62/2.22 % (5632)Time elapsed: 0.472 s
% 7.62/2.22 % (5632)Instructions burned: 1541 (million)
% 7.62/2.22 % (5632)------------------------------
% 7.62/2.22 % (5632)------------------------------
% 7.62/2.23 % (5748)ott+21_1:3_avsq=on:bd=off:cnfonf=lazy_gen:fe=off:hud=10:ixr=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=1376:si=on:rtra=on_0 on DTF2THF_5231 for (2990ds/1376Mi)
% 7.62/2.26 % (5747)Refutation not found, incomplete strategy
% 7.62/2.26 % (5747)------------------------------
% 7.62/2.26 % (5747)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.62/2.26 % (5747)Termination reason: Refutation not found, incomplete strategy
% 7.62/2.26
% 7.62/2.26
% 7.62/2.26 % (5747)Memory used [KB]: 6396
% 7.62/2.26 % (5747)Time elapsed: 0.098 s
% 7.62/2.26 % (5747)Instructions burned: 271 (million)
% 7.62/2.26 % (5747)------------------------------
% 7.62/2.26 % (5747)------------------------------
% 7.62/2.27 % (5749)dis+10_1:1_etr=on:plsq=on:plsqc=1:plsqr=32,1:i=906:si=on:rtra=on_0 on DTF2THF_5231 for (2990ds/906Mi)
% 7.62/2.27 % (5746)Instruction limit reached!
% 7.62/2.27 % (5746)------------------------------
% 7.62/2.27 % (5746)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.62/2.27 % (5746)Termination reason: Unknown
% 7.62/2.27 % (5746)Termination phase: Saturation
% 7.62/2.27
% 7.62/2.27 % (5746)Memory used [KB]: 3454
% 7.62/2.27 % (5746)Time elapsed: 0.240 s
% 7.62/2.27 % (5746)Instructions burned: 794 (million)
% 7.62/2.27 % (5746)------------------------------
% 7.62/2.27 % (5746)------------------------------
% 7.62/2.28 % (5750)lrs+1002_1:16_bd=off:e2e=on:fde=unused:kws=precedence:sac=on:sos=on:ss=axioms:i=434:si=on:rtra=on_0 on DTF2THF_5231 for (2990ds/434Mi)
% 7.62/2.28 % (5750)Refutation not found, incomplete strategy
% 7.62/2.28 % (5750)------------------------------
% 7.62/2.28 % (5750)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.62/2.28 % (5750)Termination reason: Refutation not found, incomplete strategy
% 7.62/2.28
% 7.62/2.28
% 7.62/2.28 % (5750)Memory used [KB]: 5373
% 7.62/2.28 % (5750)Time elapsed: 0.001 s
% 7.62/2.28 % (5750)Instructions burned: 1 (million)
% 7.62/2.28 % (5750)------------------------------
% 7.62/2.28 % (5750)------------------------------
% 7.62/2.28 % (5742)Instruction limit reached!
% 7.62/2.28 % (5742)------------------------------
% 7.62/2.28 % (5742)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.62/2.28 % (5742)Termination reason: Unknown
% 7.62/2.28 % (5742)Termination phase: Saturation
% 7.62/2.28
% 7.62/2.28 % (5742)Memory used [KB]: 7803
% 7.62/2.28 % (5742)Time elapsed: 0.285 s
% 7.62/2.28 % (5742)Instructions burned: 934 (million)
% 7.62/2.28 % (5742)------------------------------
% 7.62/2.28 % (5742)------------------------------
% 7.62/2.29 % (5751)lrs+10_5:4_cnfonf=conj_eager:fe=axiom:hflw=5:hfsq=on:hfsqc=10:hfsql=off:hud=10:plsq=on:sgt=5:spb=goal_then_units:ss=axioms:i=865:si=on:rtra=on_0 on DTF2THF_5231 for (2990ds/865Mi)
% 7.62/2.29 % (5751)Refutation not found, incomplete strategy
% 7.62/2.29 % (5751)------------------------------
% 7.62/2.29 % (5751)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.62/2.29 % (5751)Termination reason: Refutation not found, incomplete strategy
% 7.62/2.29
% 7.62/2.29
% 7.62/2.29 % (5751)Memory used [KB]: 5500
% 7.62/2.29 % (5751)Time elapsed: 0.001 s
% 7.62/2.29 % (5751)Instructions burned: 1 (million)
% 7.62/2.29 % (5751)------------------------------
% 7.62/2.29 % (5751)------------------------------
% 7.62/2.29 % (5752)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=593:si=on:rtra=on_0 on DTF2THF_5231 for (2990ds/593Mi)
% 8.32/2.31 % (5753)dis+10_1:1_sd=2:sgt=20:slsq=on:ss=axioms:st=6.0:i=443:si=on:rtra=on_0 on DTF2THF_5231 for (2989ds/443Mi)
% 8.32/2.31 % (5753)Refutation not found, incomplete strategy
% 8.32/2.31 % (5753)------------------------------
% 8.32/2.31 % (5753)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.32/2.31 % (5753)Termination reason: Refutation not found, incomplete strategy
% 8.32/2.31
% 8.32/2.31
% 8.32/2.31 % (5753)Memory used [KB]: 5373
% 8.32/2.31 % (5753)Time elapsed: 0.002 s
% 8.32/2.31 % (5753)Instructions burned: 1 (million)
% 8.32/2.31 % (5753)------------------------------
% 8.32/2.31 % (5753)------------------------------
% 8.32/2.33 % (5754)dis+10_1:1_atotf=0.1:cbe=off:sd=3:ss=axioms:st=2.0:i=594:si=on:rtra=on_0 on DTF2THF_5231 for (2989ds/594Mi)
% 8.32/2.33 % (5754)Refutation not found, incomplete strategy
% 8.32/2.33 % (5754)------------------------------
% 8.32/2.33 % (5754)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.32/2.33 % (5754)Termination reason: Refutation not found, incomplete strategy
% 8.32/2.33
% 8.32/2.33
% 8.32/2.33 % (5754)Memory used [KB]: 5373
% 8.32/2.33 % (5754)Time elapsed: 0.002 s
% 8.32/2.33 % (5754)Instructions burned: 1 (million)
% 8.32/2.33 % (5754)------------------------------
% 8.32/2.33 % (5754)------------------------------
% 8.32/2.35 % (5755)ott+10_1:1024_anc=none:bd=off:e2e=on:fde=none:fsr=off:hud=10:ixr=off:nm=4:nwc=5.0:spb=goal:i=327:si=on:rtra=on_0 on DTF2THF_5231 for (2989ds/327Mi)
% 8.54/2.48 % (5755)Instruction limit reached!
% 8.54/2.48 % (5755)------------------------------
% 8.54/2.48 % (5755)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.54/2.48 % (5755)Termination reason: Unknown
% 8.54/2.48 % (5755)Termination phase: Saturation
% 8.54/2.48
% 8.54/2.48 % (5755)Memory used [KB]: 7803
% 8.54/2.48 % (5755)Time elapsed: 0.136 s
% 8.54/2.48 % (5755)Instructions burned: 328 (million)
% 8.54/2.48 % (5755)------------------------------
% 8.54/2.48 % (5755)------------------------------
% 8.54/2.49 % (5752)Instruction limit reached!
% 8.54/2.49 % (5752)------------------------------
% 8.54/2.49 % (5752)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.54/2.49 % (5752)Termination reason: Unknown
% 8.54/2.49 % (5752)Termination phase: Saturation
% 8.54/2.49
% 8.54/2.49 % (5752)Memory used [KB]: 7931
% 8.54/2.49 % (5752)Time elapsed: 0.197 s
% 8.54/2.49 % (5752)Instructions burned: 594 (million)
% 8.54/2.49 % (5752)------------------------------
% 8.54/2.49 % (5752)------------------------------
% 8.54/2.49 % (5756)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=5411:si=on:rtra=on_0 on DTF2THF_5231 for (2988ds/5411Mi)
% 8.54/2.49 % (5756)Refutation not found, incomplete strategy
% 8.54/2.49 % (5756)------------------------------
% 8.54/2.49 % (5756)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.54/2.49 % (5756)Termination reason: Refutation not found, incomplete strategy
% 8.54/2.49
% 8.54/2.49
% 8.54/2.49 % (5756)Memory used [KB]: 5373
% 8.54/2.49 % (5756)Time elapsed: 0.001 s
% 8.54/2.49 % (5756)------------------------------
% 8.54/2.49 % (5756)------------------------------
% 9.11/2.50 % (5757)lrs+10_1:20_au=on:c=on:cbe=off:cnfonf=lazy_gen:ins=1:plsq=on:plsqc=1:plsqr=46,31:sac=on:i=1762:si=on:rtra=on_0 on DTF2THF_5231 for (2988ds/1762Mi)
% 9.11/2.50 % (5758)dis+1003_1:64_cha=on:cnfonf=lazy_gen:hud=9:nwc=8.0:prag=on:i=96:si=on:rtra=on_0 on DTF2THF_5231 for (2987ds/96Mi)
% 9.11/2.52 % (5728)Instruction limit reached!
% 9.11/2.52 % (5728)------------------------------
% 9.11/2.52 % (5728)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.11/2.52 % (5728)Termination reason: Unknown
% 9.11/2.52 % (5728)Termination phase: Saturation
% 9.11/2.52
% 9.11/2.52 % (5728)Memory used [KB]: 7675
% 9.11/2.52 % (5728)Time elapsed: 0.589 s
% 9.11/2.52 % (5728)Instructions burned: 1827 (million)
% 9.11/2.52 % (5728)------------------------------
% 9.11/2.52 % (5728)------------------------------
% 9.11/2.53 % (5759)lrs+21_1:1_hud=5:kws=inv_frequency:nm=16:nwc=2.0:prag=on:sos=on:ss=axioms:i=503:si=on:rtra=on_0 on DTF2THF_5231 for (2987ds/503Mi)
% 9.11/2.53 % (5759)Refutation not found, incomplete strategy
% 9.11/2.53 % (5759)------------------------------
% 9.11/2.53 % (5759)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.11/2.53 % (5759)Termination reason: Refutation not found, incomplete strategy
% 9.11/2.53
% 9.11/2.53
% 9.11/2.53 % (5759)Memory used [KB]: 5373
% 9.11/2.53 % (5759)Time elapsed: 0.001 s
% 9.11/2.53 % (5759)Instructions burned: 1 (million)
% 9.11/2.53 % (5759)------------------------------
% 9.11/2.53 % (5759)------------------------------
% 9.11/2.54 % (5758)Instruction limit reached!
% 9.11/2.54 % (5758)------------------------------
% 9.11/2.54 % (5758)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.11/2.54 % (5758)Termination reason: Unknown
% 9.11/2.54 % (5758)Termination phase: Saturation
% 9.11/2.54
% 9.11/2.54 % (5758)Memory used [KB]: 6012
% 9.11/2.54 % (5758)Time elapsed: 0.035 s
% 9.11/2.54 % (5758)Instructions burned: 97 (million)
% 9.11/2.54 % (5758)------------------------------
% 9.11/2.54 % (5758)------------------------------
% 9.11/2.54 % (5760)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on DTF2THF_5231 for (2987ds/90Mi)
% 9.11/2.55 % (5761)lrs+10_1:64_hud=5:plsq=on:plsqr=2011171,524288:i=593:si=on:rtra=on_0 on DTF2THF_5231 for (2987ds/593Mi)
% 9.11/2.56 % (5749)Instruction limit reached!
% 9.11/2.56 % (5749)------------------------------
% 9.11/2.56 % (5749)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.11/2.56 % (5749)Termination reason: Unknown
% 9.11/2.56 % (5749)Termination phase: Saturation
% 9.11/2.56
% 9.11/2.56 % (5749)Memory used [KB]: 9978
% 9.11/2.56 % (5749)Time elapsed: 0.291 s
% 9.11/2.56 % (5749)Instructions burned: 909 (million)
% 9.11/2.56 % (5749)------------------------------
% 9.11/2.56 % (5749)------------------------------
% 9.11/2.57 % (5762)dis-1002_1:1_alpa=false:apa=on:au=on:bd=off:cnfonf=off:e2e=on:er=filter:fde=unused:plsq=on:plsqr=9699663,1048576:s2a=on:sos=on:sp=unary_first:i=1512:si=on:rtra=on_0 on DTF2THF_5231 for (2987ds/1512Mi)
% 9.11/2.57 % (5762)Refutation not found, incomplete strategy
% 9.11/2.57 % (5762)------------------------------
% 9.11/2.57 % (5762)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.11/2.57 % (5762)Termination reason: Refutation not found, incomplete strategy
% 9.11/2.57
% 9.11/2.57
% 9.11/2.57 % (5762)Memory used [KB]: 5500
% 9.11/2.57 % (5762)Time elapsed: 0.002 s
% 9.11/2.57 % (5762)Instructions burned: 3 (million)
% 9.11/2.57 % (5762)------------------------------
% 9.11/2.57 % (5762)------------------------------
% 9.11/2.57 % (5760)Instruction limit reached!
% 9.11/2.57 % (5760)------------------------------
% 9.11/2.57 % (5760)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.11/2.57 % (5760)Termination reason: Unknown
% 9.11/2.57 % (5760)Termination phase: Saturation
% 9.11/2.57
% 9.11/2.57 % (5760)Memory used [KB]: 5884
% 9.11/2.57 % (5760)Time elapsed: 0.032 s
% 9.11/2.57 % (5760)Instructions burned: 91 (million)
% 9.11/2.57 % (5760)------------------------------
% 9.11/2.57 % (5760)------------------------------
% 9.11/2.58 % (5763)lrs+1002_1:128_cbe=off:cnfonf=lazy_not_gen_be_off:ins=1:i=569:si=on:rtra=on_0 on DTF2THF_5231 for (2987ds/569Mi)
% 9.11/2.58 % (5764)ott+1002_1:1_bd=off:cnfonf=off:e2e=on:fd=off:fe=axiom:hud=5:prag=on:sos=on:i=501:si=on:rtra=on_0 on DTF2THF_5231 for (2987ds/501Mi)
% 9.11/2.58 % (5764)Refutation not found, incomplete strategy
% 9.11/2.58 % (5764)------------------------------
% 9.11/2.58 % (5764)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.11/2.58 % (5764)Termination reason: Refutation not found, incomplete strategy
% 9.11/2.58
% 9.11/2.58
% 9.11/2.58 % (5764)Memory used [KB]: 5500
% 9.11/2.58 % (5764)Time elapsed: 0.001 s
% 9.11/2.58 % (5764)------------------------------
% 9.11/2.58 % (5764)------------------------------
% 9.11/2.59 % (5765)lrs+1010_1:3_cnfonf=conj_eager:fsr=off:prag=on:sd=4:sgt=10:ss=axioms:i=562:si=on:rtra=on_0 on DTF2THF_5231 for (2987ds/562Mi)
% 9.11/2.59 % (5765)Refutation not found, incomplete strategy
% 9.11/2.59 % (5765)------------------------------
% 9.11/2.59 % (5765)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.11/2.59 % (5765)Termination reason: Refutation not found, incomplete strategy
% 9.11/2.59
% 9.11/2.59
% 9.11/2.59 % (5765)Memory used [KB]: 5373
% 9.11/2.59 % (5765)Time elapsed: 0.001 s
% 9.11/2.59 % (5765)Instructions burned: 1 (million)
% 9.11/2.59 % (5765)------------------------------
% 9.11/2.59 % (5765)------------------------------
% 9.68/2.60 % (5766)lrs+10_1:1_au=on:cnfonf=off:fde=unused:kws=precedence:tgt=full:i=406:si=on:rtra=on_0 on DTF2THF_5231 for (2987ds/406Mi)
% 9.68/2.60 % (5766)Refutation not found, incomplete strategy
% 9.68/2.60 % (5766)------------------------------
% 9.68/2.60 % (5766)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.68/2.60 % (5766)Termination reason: Refutation not found, incomplete strategy
% 9.68/2.60
% 9.68/2.60
% 9.68/2.60 % (5766)Memory used [KB]: 5628
% 9.68/2.60 % (5766)Time elapsed: 0.004 s
% 9.68/2.60 % (5766)Instructions burned: 8 (million)
% 9.68/2.60 % (5766)------------------------------
% 9.68/2.60 % (5766)------------------------------
% 9.68/2.61 % (5748)Instruction limit reached!
% 9.68/2.61 % (5748)------------------------------
% 9.68/2.61 % (5748)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.68/2.61 % (5748)Termination reason: Unknown
% 9.68/2.61 % (5748)Termination phase: Saturation
% 9.68/2.61
% 9.68/2.61 % (5748)Memory used [KB]: 9850
% 9.68/2.61 % (5748)Time elapsed: 0.381 s
% 9.68/2.61 % (5748)Instructions burned: 1376 (million)
% 9.68/2.61 % (5748)------------------------------
% 9.68/2.61 % (5748)------------------------------
% 9.68/2.61 % (5767)dis+1004_1:128_au=on:cbe=off:e2e=on:sac=on:i=582:si=on:rtra=on_0 on DTF2THF_5231 for (2986ds/582Mi)
% 9.68/2.62 % (5767)Refutation not found, incomplete strategy
% 9.68/2.62 % (5767)------------------------------
% 9.68/2.62 % (5767)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.68/2.62 % (5767)Termination reason: Refutation not found, incomplete strategy
% 9.68/2.62
% 9.68/2.62
% 9.68/2.62 % (5767)Memory used [KB]: 5628
% 9.68/2.62 % (5767)Time elapsed: 0.005 s
% 9.68/2.62 % (5767)Instructions burned: 11 (million)
% 9.68/2.62 % (5767)------------------------------
% 9.68/2.62 % (5767)------------------------------
% 9.68/2.62 % (5768)lrs+2_1:1_au=on:bd=off:bsr=unit_only:sd=2:sgt=32:sos=all:ss=axioms:i=456:si=on:rtra=on_0 on DTF2THF_5231 for (2986ds/456Mi)
% 9.68/2.62 % (5768)Refutation not found, incomplete strategy
% 9.68/2.62 % (5768)------------------------------
% 9.68/2.62 % (5768)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.68/2.62 % (5768)Termination reason: Refutation not found, incomplete strategy
% 9.68/2.62
% 9.68/2.62
% 9.68/2.62 % (5768)Memory used [KB]: 5373
% 9.68/2.62 % (5768)Time elapsed: 0.001 s
% 9.68/2.62 % (5768)Instructions burned: 1 (million)
% 9.68/2.62 % (5768)------------------------------
% 9.68/2.62 % (5768)------------------------------
% 9.68/2.63 % (5769)lrs+1010_1:1_au=on:cbe=off:cnfonf=conj_eager:tgt=ground:i=393:si=on:rtra=on_0 on DTF2THF_5231 for (2986ds/393Mi)
% 9.68/2.63 % (5770)lrs+1010_1:6_au=on:cnfonf=conj_eager:nwc=10.0:pe=on:prag=on:s2a=on:ss=axioms:st=1.5:i=1335:si=on:rtra=on_0 on DTF2THF_5231 for (2986ds/1335Mi)
% 9.68/2.63 % (5770)Refutation not found, incomplete strategy
% 9.68/2.63 % (5770)------------------------------
% 9.68/2.63 % (5770)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.68/2.63 % (5770)Termination reason: Refutation not found, incomplete strategy
% 9.68/2.63
% 9.68/2.63
% 9.68/2.63 % (5770)Memory used [KB]: 5373
% 9.68/2.63 % (5770)Time elapsed: 0.001 s
% 9.68/2.63 % (5770)Instructions burned: 1 (million)
% 9.68/2.63 % (5770)------------------------------
% 9.68/2.63 % (5770)------------------------------
% 9.68/2.64 % (5769)Refutation not found, incomplete strategy
% 9.68/2.64 % (5769)------------------------------
% 9.68/2.64 % (5769)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.68/2.64 % (5769)Termination reason: Refutation not found, incomplete strategy
% 9.68/2.64
% 9.68/2.64
% 9.68/2.64 % (5769)Memory used [KB]: 5756
% 9.68/2.64 % (5769)Time elapsed: 0.012 s
% 9.68/2.64 % (5769)Instructions burned: 29 (million)
% 9.68/2.64 % (5769)------------------------------
% 9.68/2.64 % (5769)------------------------------
% 9.68/2.64 % (5771)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=3373:si=on:rtra=on_0 on DTF2THF_5231 for (2986ds/3373Mi)
% 9.68/2.65 % (5772)dis+10_1:1024_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=32,1:spb=goal_then_units:i=474:si=on:rtra=on_0 on DTF2THF_5231 for (2986ds/474Mi)
% 9.68/2.70 % (5757)Refutation not found, incomplete strategy
% 9.68/2.70 % (5757)------------------------------
% 9.68/2.70 % (5757)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.68/2.70 % (5757)Termination reason: Refutation not found, incomplete strategy
% 9.68/2.70
% 9.68/2.70
% 9.68/2.70 % (5757)Memory used [KB]: 6396
% 9.68/2.70 % (5757)Time elapsed: 0.197 s
% 9.68/2.70 % (5757)Instructions burned: 646 (million)
% 9.68/2.70 % (5757)------------------------------
% 9.68/2.70 % (5757)------------------------------
% 10.23/2.71 % (5773)lrs+1002_1:16_amm=sco:cnfonf=lazy_pi_sigma_gen:fe=off:nm=60:piset=all_but_not_eq:plsq=on:plsqc=1:plsqr=2,1:rawr=on:sp=occurrence:ss=included:st=-1.0:i=157:si=on:rtra=on_0 on DTF2THF_5231 for (2985ds/157Mi)
% 10.23/2.74 % (5761)Instruction limit reached!
% 10.23/2.74 % (5761)------------------------------
% 10.23/2.74 % (5761)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.23/2.74 % (5761)Termination reason: Unknown
% 10.23/2.74 % (5761)Termination phase: Saturation
% 10.23/2.74
% 10.23/2.74 % (5761)Memory used [KB]: 8315
% 10.23/2.74 % (5761)Time elapsed: 0.196 s
% 10.23/2.74 % (5761)Instructions burned: 595 (million)
% 10.23/2.74 % (5761)------------------------------
% 10.23/2.74 % (5761)------------------------------
% 10.23/2.74 % (5763)Instruction limit reached!
% 10.23/2.74 % (5763)------------------------------
% 10.23/2.74 % (5763)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.23/2.74 % (5763)Termination reason: Unknown
% 10.23/2.74 % (5763)Termination phase: Saturation
% 10.23/2.74
% 10.23/2.74 % (5763)Memory used [KB]: 6652
% 10.23/2.74 % (5763)Time elapsed: 0.167 s
% 10.23/2.74 % (5763)Instructions burned: 569 (million)
% 10.23/2.74 % (5763)------------------------------
% 10.23/2.74 % (5763)------------------------------
% 10.23/2.75 % (5774)dis+1010_1:1_amm=off:cs=on:kws=precedence:nwc=10.0:piset=all:s2a=on:sac=on:sp=unary_frequency:spb=goal:ss=axioms:st=3.0:i=590:si=on:rtra=on_0 on DTF2THF_5231 for (2985ds/590Mi)
% 10.23/2.75 % (5774)Refutation not found, incomplete strategy
% 10.23/2.75 % (5774)------------------------------
% 10.23/2.75 % (5774)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.23/2.75 % (5774)Termination reason: Refutation not found, incomplete strategy
% 10.23/2.75
% 10.23/2.75
% 10.23/2.75 % (5774)Memory used [KB]: 5373
% 10.23/2.75 % (5774)Time elapsed: 0.001 s
% 10.23/2.75 % (5774)Instructions burned: 1 (million)
% 10.23/2.75 % (5774)------------------------------
% 10.23/2.75 % (5774)------------------------------
% 10.23/2.75 % (5775)dis+10_1:1024_kws=precedence:prag=on:rawr=on:sos=all:sp=unary_first:i=104:si=on:rtra=on_0 on DTF2THF_5231 for (2985ds/104Mi)
% 10.23/2.75 % (5775)Refutation not found, incomplete strategy
% 10.23/2.75 % (5775)------------------------------
% 10.23/2.75 % (5775)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.23/2.75 % (5775)Termination reason: Refutation not found, incomplete strategy
% 10.23/2.75
% 10.23/2.75
% 10.23/2.75 % (5775)Memory used [KB]: 5500
% 10.23/2.75 % (5775)Time elapsed: 0.001 s
% 10.23/2.75 % (5775)Instructions burned: 1 (million)
% 10.23/2.75 % (5775)------------------------------
% 10.23/2.75 % (5775)------------------------------
% 10.23/2.75 % (5773)Instruction limit reached!
% 10.23/2.75 % (5773)------------------------------
% 10.23/2.75 % (5773)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.23/2.75 % (5773)Termination reason: Unknown
% 10.23/2.75 % (5773)Termination phase: Saturation
% 10.23/2.75
% 10.23/2.75 % (5773)Memory used [KB]: 6140
% 10.23/2.75 % (5773)Time elapsed: 0.049 s
% 10.23/2.75 % (5773)Instructions burned: 158 (million)
% 10.23/2.75 % (5773)------------------------------
% 10.23/2.75 % (5773)------------------------------
% 10.23/2.76 % (5776)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=414:si=on:rtra=on_0 on DTF2THF_5231 for (2985ds/414Mi)
% 10.23/2.76 % (5778)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=961:si=on:rtra=on_0 on DTF2THF_5231 for (2985ds/961Mi)
% 10.23/2.76 % (5778)Refutation not found, incomplete strategy
% 10.23/2.76 % (5778)------------------------------
% 10.23/2.76 % (5778)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.23/2.76 % (5778)Termination reason: Refutation not found, incomplete strategy
% 10.23/2.76
% 10.23/2.76
% 10.23/2.76 % (5778)Memory used [KB]: 5373
% 10.23/2.76 % (5778)Time elapsed: 0.001 s
% 10.23/2.76 % (5778)------------------------------
% 10.23/2.76 % (5778)------------------------------
% 10.23/2.77 % (5777)dis+10_1:1_av=off:bsd=on:bsr=unit_only:fd=off:hud=8:nm=16:prag=on:i=715:si=on:rtra=on_0 on DTF2THF_5231 for (2985ds/715Mi)
% 10.23/2.77 % (5779)lrs-1002_1:128_abs=on:bd=preordered:cbe=off:e2e=on:fde=unused:fe=off:tgt=full:i=1213:si=on:rtra=on_0 on DTF2THF_5231 for (2985ds/1213Mi)
% 11.01/2.80 % (5772)Instruction limit reached!
% 11.01/2.80 % (5772)------------------------------
% 11.01/2.80 % (5772)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.01/2.80 % (5772)Termination reason: Unknown
% 11.01/2.80 % (5772)Termination phase: Saturation
% 11.01/2.80
% 11.01/2.80 % (5772)Memory used [KB]: 6652
% 11.01/2.80 % (5772)Time elapsed: 0.152 s
% 11.01/2.80 % (5772)Instructions burned: 474 (million)
% 11.01/2.80 % (5772)------------------------------
% 11.01/2.80 % (5772)------------------------------
% 11.01/2.81 % (5780)lrs+1002_1:12_bd=off:hud=1:ntd=on:piset=equals:prag=on:i=1979:si=on:rtra=on_0 on DTF2THF_5231 for (2984ds/1979Mi)
% 11.01/2.89 % (5776)Instruction limit reached!
% 11.01/2.89 % (5776)------------------------------
% 11.01/2.89 % (5776)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.01/2.89 % (5776)Termination reason: Unknown
% 11.01/2.89 % (5776)Termination phase: Saturation
% 11.01/2.89
% 11.01/2.89 % (5776)Memory used [KB]: 6908
% 11.01/2.89 % (5776)Time elapsed: 0.133 s
% 11.01/2.89 % (5776)Instructions burned: 415 (million)
% 11.01/2.89 % (5776)------------------------------
% 11.01/2.89 % (5776)------------------------------
% 11.41/2.90 % (5781)dis+1002_1:1_amm=off:au=on:bsd=on:cbe=off:cnfonf=lazy_gen:sp=unary_frequency:i=481:si=on:rtra=on_0 on DTF2THF_5231 for (2983ds/481Mi)
% 11.41/2.93 % (5781)Refutation not found, incomplete strategy
% 11.41/2.93 % (5781)------------------------------
% 11.41/2.93 % (5781)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.41/2.93 % (5781)Termination reason: Refutation not found, incomplete strategy
% 11.41/2.93
% 11.41/2.93
% 11.41/2.93 % (5781)Memory used [KB]: 6012
% 11.41/2.93 % (5781)Time elapsed: 0.034 s
% 11.41/2.93 % (5781)Instructions burned: 89 (million)
% 11.41/2.93 % (5781)------------------------------
% 11.41/2.93 % (5781)------------------------------
% 11.41/2.94 % (5782)dis+10_8:1_apa=on:cnfonf=off:e2e=on:plsq=on:plsqc=1:plsqr=32,1:ss=axioms:i=783:si=on:rtra=on_0 on DTF2THF_5231 for (2983ds/783Mi)
% 11.41/2.94 % (5782)Refutation not found, incomplete strategy
% 11.41/2.94 % (5782)------------------------------
% 11.41/2.94 % (5782)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.41/2.94 % (5782)Termination reason: Refutation not found, incomplete strategy
% 11.41/2.94
% 11.41/2.94
% 11.41/2.94 % (5782)Memory used [KB]: 5373
% 11.41/2.94 % (5782)Time elapsed: 0.001 s
% 11.41/2.94 % (5782)Instructions burned: 1 (million)
% 11.41/2.94 % (5782)------------------------------
% 11.41/2.94 % (5782)------------------------------
% 11.41/2.95 % (5783)lrs+1010_1:1_avsq=on:avsqr=1,16:kws=inv_arity:nwc=5.0:sd=1:ss=axioms:i=432:si=on:rtra=on_0 on DTF2THF_5231 for (2983ds/432Mi)
% 11.41/2.95 % (5783)Refutation not found, incomplete strategy
% 11.41/2.95 % (5783)------------------------------
% 11.41/2.95 % (5783)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.41/2.95 % (5783)Termination reason: Refutation not found, incomplete strategy
% 11.41/2.95
% 11.41/2.95
% 11.41/2.95 % (5783)Memory used [KB]: 5373
% 11.41/2.95 % (5783)Time elapsed: 0.001 s
% 11.41/2.95 % (5783)Instructions burned: 1 (million)
% 11.41/2.95 % (5783)------------------------------
% 11.41/2.95 % (5783)------------------------------
% 11.41/2.96 % (5784)lrs+1010_1:1_atotf=0.5:au=on:cbe=off:cnfonf=lazy_not_be_gen:fe=off:nwc=5.0:spb=units:i=1670:si=on:rtra=on_0 on DTF2THF_5231 for (2983ds/1670Mi)
% 11.41/2.98 % (5784)Refutation not found, incomplete strategy
% 11.41/2.98 % (5784)------------------------------
% 11.41/2.98 % (5784)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.41/2.98 % (5784)Termination reason: Refutation not found, incomplete strategy
% 11.41/2.98
% 11.41/2.98
% 11.41/2.98 % (5784)Memory used [KB]: 5756
% 11.41/2.98 % (5784)Time elapsed: 0.014 s
% 11.41/2.98 % (5784)Instructions burned: 34 (million)
% 11.41/2.98 % (5784)------------------------------
% 11.41/2.98 % (5784)------------------------------
% 11.41/2.98 % (5771)Refutation not found, incomplete strategy
% 11.41/2.98 % (5771)------------------------------
% 11.41/2.98 % (5771)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.41/2.98 % (5771)Termination reason: Refutation not found, incomplete strategy
% 11.41/2.98
% 11.41/2.98
% 11.41/2.98 % (5771)Memory used [KB]: 7419
% 11.41/2.98 % (5771)Time elapsed: 0.359 s
% 11.41/2.98 % (5771)Instructions burned: 1040 (million)
% 11.41/2.98 % (5771)------------------------------
% 11.41/2.98 % (5771)------------------------------
% 11.41/2.99 % (5785)dis+2_1:1_au=on:hfaw=0:hfsq=on:sp=weighted_frequency:i=90:si=on:rtra=on_0 on DTF2THF_5231 for (2983ds/90Mi)
% 11.41/2.99 % (5786)dis+10_1:1_au=on:cnfonf=lazy_gen:ixr=off:plsq=on:plsqc=1:plsqr=32,1:i=346:si=on:rtra=on_0 on DTF2THF_5231 for (2983ds/346Mi)
% 13.69/3.03 % (5777)Instruction limit reached!
% 13.69/3.03 % (5777)------------------------------
% 13.69/3.03 % (5777)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.69/3.03 % (5777)Termination reason: Unknown
% 13.69/3.03 % (5777)Termination phase: Saturation
% 13.69/3.03
% 13.69/3.03 % (5777)Memory used [KB]: 2046
% 13.69/3.03 % (5777)Time elapsed: 0.260 s
% 13.69/3.03 % (5777)Instructions burned: 715 (million)
% 13.69/3.03 % (5777)------------------------------
% 13.69/3.03 % (5777)------------------------------
% 13.69/3.04 % (5785)Instruction limit reached!
% 13.69/3.04 % (5785)------------------------------
% 13.69/3.04 % (5785)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.69/3.04 % (5785)Termination reason: Unknown
% 13.69/3.04 % (5785)Termination phase: Saturation
% 13.69/3.04
% 13.69/3.04 % (5785)Memory used [KB]: 5756
% 13.69/3.04 % (5785)Time elapsed: 0.050 s
% 13.69/3.04 % (5785)Instructions burned: 90 (million)
% 13.69/3.04 % (5785)------------------------------
% 13.69/3.04 % (5785)------------------------------
% 13.69/3.04 % (5787)dis+1002_1:1_cnfonf=lazy_not_gen:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=401:si=on:rtra=on_0 on DTF2THF_5231 for (2982ds/401Mi)
% 13.69/3.05 % (5788)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=6454:si=on:rtra=on_0 on DTF2THF_5231 for (2982ds/6454Mi)
% 13.69/3.05 % (5788)Refutation not found, incomplete strategy
% 13.69/3.05 % (5788)------------------------------
% 13.69/3.05 % (5788)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.69/3.05 % (5788)Termination reason: Refutation not found, incomplete strategy
% 13.69/3.05
% 13.69/3.05
% 13.69/3.05 % (5788)Memory used [KB]: 5373
% 13.69/3.05 % (5788)Time elapsed: 0.002 s
% 13.69/3.05 % (5788)Instructions burned: 1 (million)
% 13.69/3.05 % (5788)------------------------------
% 13.69/3.05 % (5788)------------------------------
% 13.69/3.06 % (5789)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:kws=arity:prag=on:i=283:si=on:rtra=on_0 on DTF2THF_5231 for (2982ds/283Mi)
% 13.69/3.10 % (5786)Instruction limit reached!
% 13.69/3.10 % (5786)------------------------------
% 13.69/3.10 % (5786)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.69/3.10 % (5786)Termination reason: Unknown
% 13.69/3.10 % (5786)Termination phase: Saturation
% 13.69/3.10
% 13.69/3.10 % (5786)Memory used [KB]: 6524
% 13.69/3.10 % (5786)Time elapsed: 0.114 s
% 13.69/3.10 % (5786)Instructions burned: 347 (million)
% 13.69/3.10 % (5786)------------------------------
% 13.69/3.10 % (5786)------------------------------
% 14.28/3.11 % (5790)ott+10_1:1_aac=none:apa=on:au=on:cnfonf=off:ntd=on:nwc=12.0:sos=on:i=865:si=on:rtra=on_0 on DTF2THF_5231 for (2981ds/865Mi)
% 14.28/3.11 % (5790)Refutation not found, incomplete strategy
% 14.28/3.11 % (5790)------------------------------
% 14.28/3.11 % (5790)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.28/3.11 % (5790)Termination reason: Refutation not found, incomplete strategy
% 14.28/3.11
% 14.28/3.11
% 14.28/3.11 % (5790)Memory used [KB]: 5500
% 14.28/3.11 % (5790)Time elapsed: 0.002 s
% 14.28/3.11 % (5790)Instructions burned: 4 (million)
% 14.28/3.11 % (5790)------------------------------
% 14.28/3.11 % (5790)------------------------------
% 14.28/3.12 % (5791)lrs+1002_3:4_au=on:av=off:cnfonf=off:fd=off:fsr=off:ins=2:sd=1:sos=on:ss=axioms:i=4528:si=on:rtra=on_0 on DTF2THF_5231 for (2981ds/4528Mi)
% 14.28/3.12 % (5791)Refutation not found, incomplete strategy
% 14.28/3.12 % (5791)------------------------------
% 14.28/3.12 % (5791)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.28/3.12 % (5791)Termination reason: Refutation not found, incomplete strategy
% 14.28/3.12
% 14.28/3.12
% 14.28/3.12 % (5791)Memory used [KB]: 895
% 14.28/3.12 % (5791)Time elapsed: 0.001 s
% 14.28/3.12 % (5791)------------------------------
% 14.28/3.12 % (5791)------------------------------
% 14.28/3.13 % (5792)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=1001:si=on:rtra=on_0 on DTF2THF_5231 for (2981ds/1001Mi)
% 14.28/3.14 % (5779)Instruction limit reached!
% 14.28/3.14 % (5779)------------------------------
% 14.28/3.14 % (5779)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.28/3.14 % (5779)Termination reason: Unknown
% 14.28/3.14 % (5779)Termination phase: Saturation
% 14.28/3.14
% 14.28/3.14 % (5779)Memory used [KB]: 8059
% 14.28/3.14 % (5779)Time elapsed: 0.364 s
% 14.28/3.14 % (5779)Instructions burned: 1215 (million)
% 14.28/3.14 % (5779)------------------------------
% 14.28/3.14 % (5779)------------------------------
% 14.28/3.15 % (5793)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=102:si=on:rtra=on_0 on DTF2THF_5231 for (2981ds/102Mi)
% 14.28/3.15 % (5789)Instruction limit reached!
% 14.28/3.15 % (5789)------------------------------
% 14.28/3.15 % (5789)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.28/3.15 % (5789)Termination reason: Unknown
% 14.28/3.15 % (5789)Termination phase: Saturation
% 14.28/3.15
% 14.28/3.15 % (5789)Memory used [KB]: 6396
% 14.28/3.15 % (5789)Time elapsed: 0.111 s
% 14.28/3.15 % (5789)Instructions burned: 286 (million)
% 14.28/3.15 % (5789)------------------------------
% 14.28/3.15 % (5789)------------------------------
% 14.28/3.16 % (5794)ott+1010_3:1_nm=20:s2a=on:s2at=3.0:sp=const_frequency:i=952:si=on:rtra=on_0 on DTF2THF_5231 for (2981ds/952Mi)
% 14.28/3.16 % (5793)Refutation not found, incomplete strategy
% 14.28/3.16 % (5793)------------------------------
% 14.28/3.16 % (5793)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.28/3.16 % (5793)Termination reason: Refutation not found, incomplete strategy
% 14.28/3.16
% 14.28/3.16
% 14.28/3.16 % (5793)Memory used [KB]: 5756
% 14.28/3.16 % (5793)Time elapsed: 0.037 s
% 14.28/3.16 % (5793)Instructions burned: 33 (million)
% 14.28/3.16 % (5793)------------------------------
% 14.28/3.16 % (5793)------------------------------
% 14.28/3.17 % (5795)lrs+1010_1:1024_add=large:c=on:cbe=off:cnfonf=lazy_gen:fde=none:nm=30:piset=and:sac=on:uhcvi=on:i=578:si=on:rtra=on_0 on DTF2THF_5231 for (2981ds/578Mi)
% 14.28/3.17 % (5787)Instruction limit reached!
% 14.28/3.17 % (5787)------------------------------
% 14.28/3.17 % (5787)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.28/3.17 % (5787)Termination reason: Unknown
% 14.28/3.17 % (5787)Termination phase: Saturation
% 14.28/3.17
% 14.28/3.17 % (5787)Memory used [KB]: 7164
% 14.28/3.17 % (5787)Time elapsed: 0.132 s
% 14.28/3.17 % (5787)Instructions burned: 401 (million)
% 14.28/3.17 % (5787)------------------------------
% 14.28/3.17 % (5787)------------------------------
% 14.28/3.18 % (5796)dis+1010_1:4_avsq=on:avsqr=16,1:bet=on:cbe=off:cnfonf=lazy_not_be_gen:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=643:si=on:rtra=on_0 on DTF2THF_5231 for (2981ds/643Mi)
% 15.14/3.37 % (5795)Instruction limit reached!
% 15.14/3.37 % (5795)------------------------------
% 15.14/3.37 % (5795)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.14/3.37 % (5795)Termination reason: Unknown
% 15.14/3.37 % (5795)Termination phase: Saturation
% 15.14/3.37
% 15.14/3.37 % (5795)Memory used [KB]: 7547
% 15.14/3.37 % (5795)Time elapsed: 0.202 s
% 15.14/3.37 % (5795)Instructions burned: 579 (million)
% 15.14/3.37 % (5795)------------------------------
% 15.14/3.37 % (5795)------------------------------
% 15.14/3.38 % (5797)lrs+1010_1:1_cnfonf=off:ntd=on:nwc=3.0:s2a=on:sp=const_frequency:i=865:si=on:rtra=on_0 on DTF2THF_5231 for (2979ds/865Mi)
% 15.14/3.38 % (5796)Instruction limit reached!
% 15.14/3.38 % (5796)------------------------------
% 15.14/3.38 % (5796)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.14/3.38 % (5796)Termination reason: Unknown
% 15.14/3.38 % (5796)Termination phase: Saturation
% 15.14/3.38
% 15.14/3.38 % (5796)Memory used [KB]: 7675
% 15.14/3.38 % (5796)Time elapsed: 0.204 s
% 15.14/3.38 % (5796)Instructions burned: 644 (million)
% 15.14/3.38 % (5796)------------------------------
% 15.14/3.38 % (5796)------------------------------
% 15.14/3.39 % (5798)lrs+10_1:1_au=on:erd=off:s2a=on:s2at=3.0:sos=all:i=1174:si=on:rtra=on_0 on DTF2THF_5231 for (2978ds/1174Mi)
% 15.14/3.39 % (5798)Refutation not found, incomplete strategy
% 15.14/3.39 % (5798)------------------------------
% 15.14/3.39 % (5798)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.14/3.39 % (5798)Termination reason: Refutation not found, incomplete strategy
% 15.14/3.39
% 15.14/3.39
% 15.14/3.39 % (5798)Memory used [KB]: 5500
% 15.14/3.39 % (5798)Time elapsed: 0.002 s
% 15.14/3.39 % (5798)------------------------------
% 15.14/3.39 % (5798)------------------------------
% 15.89/3.40 % (5799)ott+1010_1:32_apa=on:atotf=0.3:au=on:c=on:cnfonf=off:fe=off:fsr=off:nm=6:piset=or:sac=on:sos=on:i=644:si=on:rtra=on_0 on DTF2THF_5231 for (2978ds/644Mi)
% 15.89/3.40 % (5799)Refutation not found, incomplete strategy
% 15.89/3.40 % (5799)------------------------------
% 15.89/3.40 % (5799)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.89/3.40 % (5799)Termination reason: Refutation not found, incomplete strategy
% 15.89/3.40
% 15.89/3.40
% 15.89/3.40 % (5799)Memory used [KB]: 5500
% 15.89/3.40 % (5799)Time elapsed: 0.002 s
% 15.89/3.40 % (5799)Instructions burned: 4 (million)
% 15.89/3.40 % (5799)------------------------------
% 15.89/3.40 % (5799)------------------------------
% 15.89/3.41 % (5800)lrs+10_1:1_alpa=true:au=on:cs=on:tgt=ground:i=1201:si=on:rtra=on_0 on DTF2THF_5231 for (2978ds/1201Mi)
% 15.89/3.42 % (5780)Instruction limit reached!
% 15.89/3.42 % (5780)------------------------------
% 15.89/3.42 % (5780)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.89/3.42 % (5780)Termination reason: Unknown
% 15.89/3.42 % (5780)Termination phase: Saturation
% 15.89/3.42
% 15.89/3.42 % (5780)Memory used [KB]: 9978
% 15.89/3.42 % (5780)Time elapsed: 0.610 s
% 15.89/3.42 % (5780)Instructions burned: 1979 (million)
% 15.89/3.42 % (5780)------------------------------
% 15.89/3.42 % (5780)------------------------------
% 15.89/3.42 % (5637)Instruction limit reached!
% 15.89/3.42 % (5637)------------------------------
% 15.89/3.42 % (5637)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.89/3.42 % (5637)Termination reason: Unknown
% 15.89/3.42 % (5637)Termination phase: Saturation
% 15.89/3.42
% 15.89/3.42 % (5637)Memory used [KB]: 12409
% 15.89/3.42 % (5637)Time elapsed: 1.672 s
% 15.89/3.42 % (5637)Instructions burned: 5207 (million)
% 15.89/3.42 % (5637)------------------------------
% 15.89/3.42 % (5637)------------------------------
% 15.89/3.43 % (5801)lrs+1666_1:64_cnfonf=lazy_simp:hud=5:plsq=on:plsql=on:plsqr=152565,524288:tnu=2:i=1046:si=on:rtra=on_0 on DTF2THF_5231 for (2978ds/1046Mi)
% 15.89/3.43 % (5802)lrs+1010_1:1_c=on:cnfonf=lazy_simp:fsr=off:hud=5:kws=arity:nm=32:plsq=on:plsqc=1:plsqr=642,29:prag=on:i=222:si=on:rtra=on_0 on DTF2THF_5231 for (2978ds/222Mi)
% 15.89/3.44 % (5794)Instruction limit reached!
% 15.89/3.44 % (5794)------------------------------
% 15.89/3.44 % (5794)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.89/3.44 % (5794)Termination reason: Unknown
% 15.89/3.44 % (5794)Termination phase: Saturation
% 15.89/3.44
% 15.89/3.44 % (5794)Memory used [KB]: 8315
% 15.89/3.44 % (5794)Time elapsed: 0.308 s
% 15.89/3.44 % (5794)Instructions burned: 954 (million)
% 15.89/3.44 % (5794)------------------------------
% 15.89/3.44 % (5794)------------------------------
% 15.89/3.45 % (5803)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=68:si=on:rtra=on_0 on DTF2THF_5231 for (2978ds/68Mi)
% 15.89/3.45 % (5803)Refutation not found, incomplete strategy
% 15.89/3.45 % (5803)------------------------------
% 15.89/3.45 % (5803)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.89/3.45 % (5803)Termination reason: Refutation not found, incomplete strategy
% 15.89/3.45
% 15.89/3.45
% 15.89/3.45 % (5803)Memory used [KB]: 5373
% 15.89/3.45 % (5803)Time elapsed: 0.001 s
% 15.89/3.45 % (5803)Instructions burned: 1 (million)
% 15.89/3.45 % (5803)------------------------------
% 15.89/3.45 % (5803)------------------------------
% 15.89/3.45 % (5792)Instruction limit reached!
% 15.89/3.45 % (5792)------------------------------
% 15.89/3.45 % (5792)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.89/3.45 % (5792)Termination reason: Unknown
% 15.89/3.45 % (5792)Termination phase: Saturation
% 15.89/3.45
% 15.89/3.45 % (5792)Memory used [KB]: 10746
% 15.89/3.45 % (5792)Time elapsed: 0.338 s
% 15.89/3.45 % (5792)Instructions burned: 1002 (million)
% 15.89/3.45 % (5792)------------------------------
% 15.89/3.45 % (5792)------------------------------
% 15.89/3.46 % (5804)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=454:si=on:rtra=on_0 on DTF2THF_5231 for (2978ds/454Mi)
% 15.89/3.46 % (5805)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=360:si=on:rtra=on_0 on DTF2THF_5231 for (2978ds/360Mi)
% 16.69/3.50 % (5802)Instruction limit reached!
% 16.69/3.50 % (5802)------------------------------
% 16.69/3.50 % (5802)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.69/3.50 % (5802)Termination reason: Unknown
% 16.69/3.50 % (5802)Termination phase: Saturation
% 16.69/3.50
% 16.69/3.50 % (5802)Memory used [KB]: 6780
% 16.69/3.50 % (5802)Time elapsed: 0.078 s
% 16.69/3.50 % (5802)Instructions burned: 224 (million)
% 16.69/3.50 % (5802)------------------------------
% 16.69/3.50 % (5802)------------------------------
% 16.69/3.51 % (5806)lrs+1002_1:16_amm=sco:cnfonf=lazy_pi_sigma_gen:fe=off:nm=60:piset=all_but_not_eq:plsq=on:plsqc=1:plsqr=2,1:rawr=on:sp=occurrence:ss=included:st=-1.0:i=157:si=on:rtra=on_0 on DTF2THF_5231 for (2977ds/157Mi)
% 16.69/3.56 % (5806)Instruction limit reached!
% 16.69/3.56 % (5806)------------------------------
% 16.69/3.56 % (5806)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.69/3.56 % (5806)Termination reason: Unknown
% 16.69/3.56 % (5806)Termination phase: Saturation
% 16.69/3.56
% 16.69/3.56 % (5806)Memory used [KB]: 6140
% 16.69/3.56 % (5806)Time elapsed: 0.049 s
% 16.69/3.56 % (5806)Instructions burned: 157 (million)
% 16.69/3.56 % (5806)------------------------------
% 16.69/3.56 % (5806)------------------------------
% 16.69/3.57 % (5807)ott+1004_1:24_anc=none:cbe=off:cnfonf=lazy_not_gen:fe=off:piset=not:prag=on:rp=on:i=5061:si=on:rtra=on_0 on DTF2THF_5231 for (2977ds/5061Mi)
% 16.69/3.58 % (5805)Instruction limit reached!
% 16.69/3.58 % (5805)------------------------------
% 16.69/3.58 % (5805)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.69/3.58 % (5805)Termination reason: Unknown
% 16.69/3.58 % (5805)Termination phase: Saturation
% 16.69/3.58
% 16.69/3.58 % (5805)Memory used [KB]: 7164
% 16.69/3.58 % (5805)Time elapsed: 0.121 s
% 16.69/3.58 % (5805)Instructions burned: 361 (million)
% 16.69/3.58 % (5805)------------------------------
% 16.69/3.58 % (5805)------------------------------
% 16.69/3.59 % (5808)lrs+1002_1:8_av=off:fd=off:hud=5:tnu=1:i=2401:si=on:rtra=on_0 on DTF2THF_5231 for (2977ds/2401Mi)
% 17.06/3.62 % (5804)Instruction limit reached!
% 17.06/3.62 % (5804)------------------------------
% 17.06/3.62 % (5804)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.06/3.62 % (5804)Termination reason: Unknown
% 17.06/3.62 % (5804)Termination phase: Saturation
% 17.06/3.62
% 17.06/3.62 % (5804)Memory used [KB]: 12281
% 17.06/3.62 % (5804)Time elapsed: 0.165 s
% 17.06/3.62 % (5804)Instructions burned: 454 (million)
% 17.06/3.62 % (5804)------------------------------
% 17.06/3.62 % (5804)------------------------------
% 17.06/3.63 % (5809)dis+10_1:1_av=off:e2e=on:nm=4:s2a=on:i=5798:si=on:rtra=on_0 on DTF2THF_5231 for (2976ds/5798Mi)
% 17.06/3.64 % (5797)Instruction limit reached!
% 17.06/3.64 % (5797)------------------------------
% 17.06/3.64 % (5797)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.06/3.64 % (5797)Termination reason: Unknown
% 17.06/3.64 % (5797)Termination phase: Saturation
% 17.06/3.64
% 17.06/3.64 % (5797)Memory used [KB]: 8827
% 17.06/3.64 % (5797)Time elapsed: 0.263 s
% 17.06/3.64 % (5797)Instructions burned: 868 (million)
% 17.06/3.64 % (5797)------------------------------
% 17.06/3.64 % (5797)------------------------------
% 17.06/3.65 % (5810)dis+10_1:1_au=on:cnfonf=lazy_gen:ixr=off:plsq=on:plsqc=1:plsqr=32,1:i=346:si=on:rtra=on_0 on DTF2THF_5231 for (2976ds/346Mi)
% 17.60/3.76 % (5810)Instruction limit reached!
% 17.60/3.76 % (5810)------------------------------
% 17.60/3.76 % (5810)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.60/3.76 % (5810)Termination reason: Unknown
% 17.60/3.76 % (5810)Termination phase: Saturation
% 17.60/3.76
% 17.60/3.76 % (5810)Memory used [KB]: 6524
% 17.60/3.76 % (5810)Time elapsed: 0.111 s
% 17.60/3.76 % (5810)Instructions burned: 349 (million)
% 17.60/3.76 % (5810)------------------------------
% 17.60/3.76 % (5810)------------------------------
% 17.60/3.77 % (5801)Instruction limit reached!
% 17.60/3.77 % (5801)------------------------------
% 17.60/3.77 % (5801)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.60/3.77 % (5801)Termination reason: Unknown
% 17.60/3.77 % (5801)Termination phase: Saturation
% 17.60/3.77
% 17.60/3.77 % (5801)Memory used [KB]: 11257
% 17.60/3.77 % (5801)Time elapsed: 0.342 s
% 17.60/3.77 % (5801)Instructions burned: 1048 (million)
% 17.60/3.77 % (5801)------------------------------
% 17.60/3.77 % (5801)------------------------------
% 17.60/3.77 % (5811)lrs+1002_1:1_av=off:bd=off:bet=on:e2e=on:fde=unused:fe=off:plsq=on:prag=on:sos=on:i=1321:si=on:rtra=on_0 on DTF2THF_5231 for (2975ds/1321Mi)
% 17.60/3.77 % (5811)Refutation not found, incomplete strategy
% 17.60/3.77 % (5811)------------------------------
% 17.60/3.77 % (5811)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.60/3.77 % (5811)Termination reason: Refutation not found, incomplete strategy
% 17.60/3.77
% 17.60/3.77
% 17.60/3.77 % (5811)Memory used [KB]: 1023
% 17.60/3.77 % (5811)Time elapsed: 0.001 s
% 17.60/3.77 % (5811)------------------------------
% 17.60/3.77 % (5811)------------------------------
% 17.60/3.78 % (5800)Instruction limit reached!
% 17.60/3.78 % (5800)------------------------------
% 17.60/3.78 % (5800)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.60/3.78 % (5800)Termination reason: Unknown
% 17.60/3.78 % (5800)Termination phase: Saturation
% 17.60/3.78
% 17.60/3.78 % (5800)Memory used [KB]: 7036
% 17.60/3.78 % (5800)Time elapsed: 0.365 s
% 17.60/3.78 % (5800)Instructions burned: 1201 (million)
% 17.60/3.78 % (5800)------------------------------
% 17.60/3.78 % (5800)------------------------------
% 17.60/3.78 % (5812)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:i=1312:si=on:rtra=on_0 on DTF2THF_5231 for (2975ds/1312Mi)
% 17.60/3.78 % (5813)ott+2_8:1_add=large:c=on:cnfonf=off:e2e=on:er=filter:hud=5:plsq=on:plsqr=1,1:ss=axioms:i=672:si=on:rtra=on_0 on DTF2THF_5231 for (2975ds/672Mi)
% 17.60/3.78 % (5813)Refutation not found, incomplete strategy
% 17.60/3.78 % (5813)------------------------------
% 17.60/3.78 % (5813)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.60/3.78 % (5813)Termination reason: Refutation not found, incomplete strategy
% 17.60/3.78
% 17.60/3.78
% 17.60/3.78 % (5813)Memory used [KB]: 5373
% 17.60/3.78 % (5813)Time elapsed: 0.001 s
% 17.60/3.78 % (5813)Instructions burned: 1 (million)
% 17.60/3.78 % (5813)------------------------------
% 17.60/3.78 % (5813)------------------------------
% 17.60/3.79 % (5814)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=1897:si=on:rtra=on_0 on DTF2THF_5231 for (2975ds/1897Mi)
% 17.60/3.79 % (5814)Refutation not found, incomplete strategy
% 17.60/3.79 % (5814)------------------------------
% 17.60/3.79 % (5814)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.60/3.79 % (5814)Termination reason: Refutation not found, incomplete strategy
% 17.60/3.79
% 17.60/3.79
% 17.60/3.79 % (5814)Memory used [KB]: 5373
% 17.60/3.79 % (5814)Time elapsed: 0.001 s
% 17.60/3.79 % (5814)------------------------------
% 17.60/3.79 % (5814)------------------------------
% 17.60/3.79 % (5815)lrs+10_1:40_av=off:fde=unused:ntd=on:plsq=on:plsqc=2:plsqr=411915,1048576:sp=unary_frequency:tgt=full:i=1202:si=on:rtra=on_0 on DTF2THF_5231 for (2975ds/1202Mi)
% 17.60/3.80 % (5816)dis+21_1:1_au=on:cnfonf=lazy_pi_sigma_gen:hfsq=on:hfsqc=40:hfsqr=8,1:ntd=on:sos=on:sp=occurrence:ss=axioms:i=1493:si=on:rtra=on_0 on DTF2THF_5231 for (2975ds/1493Mi)
% 17.60/3.80 % (5816)Refutation not found, incomplete strategy
% 17.60/3.80 % (5816)------------------------------
% 17.60/3.80 % (5816)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.60/3.80 % (5816)Termination reason: Refutation not found, incomplete strategy
% 17.60/3.80
% 17.60/3.80
% 17.60/3.80 % (5816)Memory used [KB]: 5373
% 17.60/3.80 % (5816)Time elapsed: 0.001 s
% 17.60/3.80 % (5816)------------------------------
% 17.60/3.80 % (5816)------------------------------
% 18.58/3.81 % (5817)dis+1010_3:1_av=off:fde=unused:hud=10:nwc=10.0:s2a=on:ss=axioms:i=7679:si=on:rtra=on_0 on DTF2THF_5231 for (2974ds/7679Mi)
% 18.58/3.81 % (5817)Refutation not found, incomplete strategy
% 18.58/3.81 % (5817)------------------------------
% 18.58/3.81 % (5817)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 18.58/3.81 % (5817)Termination reason: Refutation not found, incomplete strategy
% 18.58/3.81
% 18.58/3.81
% 18.58/3.81 % (5817)Memory used [KB]: 895
% 18.58/3.81 % (5817)Time elapsed: 0.001 s
% 18.58/3.81 % (5817)Instructions burned: 1 (million)
% 18.58/3.81 % (5817)------------------------------
% 18.58/3.81 % (5817)------------------------------
% 18.58/3.82 % (5818)lrs+2_1:1024_anc=all:cnfonf=off:cs=on:e2e=on:nm=20:s2at=1.5:slsq=on:slsqr=1,2:spb=goal:i=340:si=on:rtra=on_0 on DTF2THF_5231 for (2974ds/340Mi)
% 18.70/3.94 % (5818)Instruction limit reached!
% 18.70/3.94 % (5818)------------------------------
% 18.70/3.94 % (5818)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 18.70/3.94 % (5818)Termination reason: Unknown
% 18.70/3.94 % (5818)Termination phase: Saturation
% 18.70/3.94
% 18.70/3.94 % (5818)Memory used [KB]: 6652
% 18.70/3.94 % (5818)Time elapsed: 0.122 s
% 18.70/3.94 % (5818)Instructions burned: 342 (million)
% 18.70/3.94 % (5818)------------------------------
% 18.70/3.94 % (5818)------------------------------
% 18.70/3.95 % (5819)dis+1002_1:1_acc=model:au=on:nwc=5.0:sd=5:ss=axioms:st=2.5:i=3672:si=on:rtra=on_0 on DTF2THF_5231 for (2973ds/3672Mi)
% 18.70/3.95 % (5819)Refutation not found, incomplete strategy
% 18.70/3.95 % (5819)------------------------------
% 18.70/3.95 % (5819)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 18.70/3.95 % (5819)Termination reason: Refutation not found, incomplete strategy
% 18.70/3.95
% 18.70/3.95
% 18.70/3.95 % (5819)Memory used [KB]: 5373
% 18.70/3.95 % (5819)Time elapsed: 0.001 s
% 18.70/3.95 % (5819)Instructions burned: 1 (million)
% 18.70/3.95 % (5819)------------------------------
% 18.70/3.95 % (5819)------------------------------
% 18.70/3.96 % (5820)dis-1002_3:1_acc=model:bd=off:bsd=on:bsdmm=1:cnfonf=lazy_not_be_gen:fd=off:fe=off:ntd=on:nwc=10.0:piset=equals:plsq=on:plsqc=1:plsqr=32,1:sp=const_max:uhcvi=on:i=1535:si=on:rtra=on_0 on DTF2THF_5231 for (2973ds/1535Mi)
% 21.50/4.14 % (5815)Instruction limit reached!
% 21.50/4.14 % (5815)------------------------------
% 21.50/4.14 % (5815)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.50/4.14 % (5815)Termination reason: Unknown
% 21.50/4.14 % (5815)Termination phase: Saturation
% 21.50/4.14
% 21.50/4.14 % (5815)Memory used [KB]: 3070
% 21.50/4.14 % (5815)Time elapsed: 0.355 s
% 21.50/4.14 % (5815)Instructions burned: 1203 (million)
% 21.50/4.14 % (5815)------------------------------
% 21.50/4.14 % (5815)------------------------------
% 21.50/4.15 % (5821)dis+10_16:1_hud=1:plsq=on:plsqc=1:plsqr=32,1:prag=on:sd=1:sgt=64:ss=axioms:i=4637:si=on:rtra=on_0 on DTF2THF_5231 for (2971ds/4637Mi)
% 21.50/4.15 % (5821)Refutation not found, incomplete strategy
% 21.50/4.15 % (5821)------------------------------
% 21.50/4.15 % (5821)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.50/4.15 % (5821)Termination reason: Refutation not found, incomplete strategy
% 21.50/4.15
% 21.50/4.15
% 21.50/4.15 % (5821)Memory used [KB]: 5373
% 21.50/4.15 % (5821)Time elapsed: 0.001 s
% 21.50/4.15 % (5821)------------------------------
% 21.50/4.15 % (5821)------------------------------
% 21.50/4.16 % (5822)lrs+10_1:1_fde=unused:prag=on:sd=2:sgt=32:ss=axioms:i=3174:si=on:rtra=on_0 on DTF2THF_5231 for (2971ds/3174Mi)
% 21.50/4.16 % (5822)Refutation not found, incomplete strategy
% 21.50/4.16 % (5822)------------------------------
% 21.50/4.16 % (5822)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.50/4.16 % (5822)Termination reason: Refutation not found, incomplete strategy
% 21.50/4.16
% 21.50/4.16
% 21.50/4.16 % (5822)Memory used [KB]: 5373
% 21.50/4.16 % (5822)Time elapsed: 0.001 s
% 21.50/4.16 % (5822)Instructions burned: 1 (million)
% 21.50/4.16 % (5822)------------------------------
% 21.50/4.16 % (5822)------------------------------
% 21.50/4.17 % (5812)Instruction limit reached!
% 21.50/4.17 % (5812)------------------------------
% 21.50/4.17 % (5812)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.50/4.17 % (5812)Termination reason: Unknown
% 21.50/4.17 % (5812)Termination phase: Saturation
% 21.50/4.17
% 21.50/4.17 % (5812)Memory used [KB]: 7291
% 21.50/4.17 % (5812)Time elapsed: 0.393 s
% 21.50/4.17 % (5812)Instructions burned: 1314 (million)
% 21.50/4.17 % (5812)------------------------------
% 21.50/4.17 % (5812)------------------------------
% 21.50/4.17 % (5823)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=307:si=on:rtra=on_0 on DTF2THF_5231 for (2971ds/307Mi)
% 21.50/4.18 % (5824)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=3619:si=on:rtra=on_0 on DTF2THF_5231 for (2971ds/3619Mi)
% 21.50/4.18 % (5824)Refutation not found, incomplete strategy
% 21.50/4.18 % (5824)------------------------------
% 21.50/4.18 % (5824)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.50/4.18 % (5824)Termination reason: Refutation not found, incomplete strategy
% 21.50/4.18
% 21.50/4.18
% 21.50/4.18 % (5824)Memory used [KB]: 5373
% 21.50/4.18 % (5824)Time elapsed: 0.001 s
% 21.50/4.18 % (5824)------------------------------
% 21.50/4.18 % (5824)------------------------------
% 21.50/4.19 % (5825)lrs+1002_1:1_au=on:cbe=off:fde=none:ins=1:sp=const_max:i=2325:si=on:rtra=on_0 on DTF2THF_5231 for (2971ds/2325Mi)
% 21.50/4.19 % (5825)Refutation not found, incomplete strategy
% 21.50/4.19 % (5825)------------------------------
% 21.50/4.19 % (5825)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.50/4.19 % (5825)Termination reason: Refutation not found, incomplete strategy
% 21.50/4.19
% 21.50/4.19
% 21.50/4.19 % (5825)Memory used [KB]: 5500
% 21.50/4.19 % (5825)Time elapsed: 0.004 s
% 21.50/4.19 % (5825)Instructions burned: 10 (million)
% 21.50/4.19 % (5825)------------------------------
% 21.50/4.19 % (5825)------------------------------
% 22.01/4.20 % (5826)dis+1002_1:1_au=on:sac=on:sd=5:slsq=on:slsqr=1,4:ss=axioms:st=2.0:i=2341:si=on:rtra=on_0 on DTF2THF_5231 for (2970ds/2341Mi)
% 22.01/4.20 % (5826)Refutation not found, incomplete strategy
% 22.01/4.20 % (5826)------------------------------
% 22.01/4.20 % (5826)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.01/4.20 % (5826)Termination reason: Refutation not found, incomplete strategy
% 22.01/4.20
% 22.01/4.20
% 22.01/4.20 % (5826)Memory used [KB]: 5373
% 22.01/4.20 % (5826)Time elapsed: 0.001 s
% 22.01/4.20 % (5826)Instructions burned: 1 (million)
% 22.01/4.20 % (5826)------------------------------
% 22.01/4.20 % (5826)------------------------------
% 22.01/4.21 % (5827)lrs+1010_1:16_apa=on:bsd=on:cnfonf=off:hud=10:sac=on:sos=on:ss=axioms:i=7257:si=on:rtra=on_0 on DTF2THF_5231 for (2970ds/7257Mi)
% 22.01/4.21 % (5827)Refutation not found, incomplete strategy
% 22.01/4.21 % (5827)------------------------------
% 22.01/4.21 % (5827)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.01/4.21 % (5827)Termination reason: Refutation not found, incomplete strategy
% 22.01/4.21
% 22.01/4.21
% 22.01/4.21 % (5827)Memory used [KB]: 5373
% 22.01/4.21 % (5827)Time elapsed: 0.001 s
% 22.01/4.21 % (5827)------------------------------
% 22.01/4.21 % (5827)------------------------------
% 22.01/4.22 % (5828)ott+1010_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=3548551,65536:s2a=on:i=3710:si=on:rtra=on_0 on DTF2THF_5231 for (2970ds/3710Mi)
% 22.01/4.27 % (5823)Instruction limit reached!
% 22.01/4.27 % (5823)------------------------------
% 22.01/4.27 % (5823)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.01/4.27 % (5823)Termination reason: Unknown
% 22.01/4.27 % (5823)Termination phase: Saturation
% 22.01/4.27
% 22.01/4.27 % (5823)Memory used [KB]: 6524
% 22.01/4.27 % (5823)Time elapsed: 0.100 s
% 22.01/4.27 % (5823)Instructions burned: 310 (million)
% 22.01/4.27 % (5823)------------------------------
% 22.01/4.27 % (5823)------------------------------
% 22.01/4.28 % (5829)lrs+1010_1:1_avsq=on:avsqr=1,16:kws=inv_arity:nwc=5.0:sd=1:ss=axioms:i=326:si=on:rtra=on_0 on DTF2THF_5231 for (2970ds/326Mi)
% 22.01/4.28 % (5829)Refutation not found, incomplete strategy
% 22.01/4.28 % (5829)------------------------------
% 22.01/4.28 % (5829)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.01/4.28 % (5829)Termination reason: Refutation not found, incomplete strategy
% 22.01/4.28
% 22.01/4.28
% 22.01/4.28 % (5829)Memory used [KB]: 5373
% 22.01/4.28 % (5829)Time elapsed: 0.001 s
% 22.01/4.28 % (5829)------------------------------
% 22.01/4.28 % (5829)------------------------------
% 22.01/4.29 % (5830)lrs+1010_1:64_au=on:c=on:e2e=on:flr=on:hfsq=on:hfsql=off:hfsqr=4,1:ins=1:ntd=on:sp=occurrence:i=1100:si=on:rtra=on_0 on DTF2THF_5231 for (2970ds/1100Mi)
% 22.65/4.31 % (5808)Instruction limit reached!
% 22.65/4.31 % (5808)------------------------------
% 22.65/4.31 % (5808)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.65/4.31 % (5808)Termination reason: Unknown
% 22.65/4.31 % (5808)Termination phase: Saturation
% 22.65/4.31
% 22.65/4.31 % (5808)Memory used [KB]: 17526
% 22.65/4.31 % (5808)Time elapsed: 0.719 s
% 22.65/4.31 % (5808)Instructions burned: 2403 (million)
% 22.65/4.31 % (5808)------------------------------
% 22.65/4.31 % (5808)------------------------------
% 22.65/4.32 % (5831)lrs+10_1:1_au=on:cnfonf=off:fde=unused:kws=precedence:tgt=full:i=406:si=on:rtra=on_0 on DTF2THF_5231 for (2969ds/406Mi)
% 22.65/4.32 % (5831)Refutation not found, incomplete strategy
% 22.65/4.32 % (5831)------------------------------
% 22.65/4.32 % (5831)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.65/4.32 % (5831)Termination reason: Refutation not found, incomplete strategy
% 22.65/4.32
% 22.65/4.32
% 22.65/4.32 % (5831)Memory used [KB]: 5628
% 22.65/4.32 % (5831)Time elapsed: 0.004 s
% 22.65/4.32 % (5831)Instructions burned: 8 (million)
% 22.65/4.32 % (5831)------------------------------
% 22.65/4.32 % (5831)------------------------------
% 22.65/4.33 % (5832)dis+1010_1:1_aac=none:bd=preordered:e2e=on:fde=none:fe=axiom:nm=16:nwc=10.0:prag=on:i=1871:si=on:rtra=on_0 on DTF2THF_5231 for (2969ds/1871Mi)
% 23.08/4.41 % (5820)Instruction limit reached!
% 23.08/4.41 % (5820)------------------------------
% 23.08/4.41 % (5820)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.08/4.41 % (5820)Termination reason: Unknown
% 23.08/4.41 % (5820)Termination phase: Saturation
% 23.08/4.41
% 23.08/4.41 % (5820)Memory used [KB]: 9338
% 23.08/4.41 % (5820)Time elapsed: 0.454 s
% 23.08/4.41 % (5820)Instructions burned: 1535 (million)
% 23.08/4.41 % (5820)------------------------------
% 23.08/4.41 % (5820)------------------------------
% 23.08/4.42 % (5833)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1194:si=on:rtra=on_0 on DTF2THF_5231 for (2968ds/1194Mi)
% 23.08/4.45 % (5744)Instruction limit reached!
% 23.08/4.45 % (5744)------------------------------
% 23.08/4.45 % (5744)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.08/4.45 % (5744)Termination reason: Unknown
% 23.08/4.45 % (5744)Termination phase: Saturation
% 23.08/4.45
% 23.08/4.45 % (5744)Memory used [KB]: 12792
% 23.08/4.45 % (5744)Time elapsed: 2.432 s
% 23.08/4.45 % (5744)Instructions burned: 8250 (million)
% 23.08/4.45 % (5744)------------------------------
% 23.08/4.45 % (5744)------------------------------
% 23.08/4.46 % (5834)dis+10_1:1024_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=32,1:spb=goal_then_units:i=474:si=on:rtra=on_0 on DTF2THF_5231 for (2968ds/474Mi)
% 23.08/4.49 % (5830)Refutation not found, incomplete strategy
% 23.08/4.49 % (5830)------------------------------
% 23.08/4.49 % (5830)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.08/4.49 % (5830)Termination reason: Refutation not found, incomplete strategy
% 23.08/4.49
% 23.08/4.49
% 23.08/4.49 % (5830)Memory used [KB]: 6268
% 23.08/4.49 % (5830)Time elapsed: 0.195 s
% 23.08/4.49 % (5830)Instructions burned: 627 (million)
% 23.08/4.49 % (5830)------------------------------
% 23.08/4.49 % (5830)------------------------------
% 23.08/4.50 % (5835)dis+1010_1:1_au=on:cnfonf=lazy_gen:ins=3:plsq=on:plsqc=1:plsqr=15142123,262144:sp=reverse_arity:i=3115:si=on:rtra=on_0 on DTF2THF_5231 for (2968ds/3115Mi)
% 23.79/4.61 % (5834)Instruction limit reached!
% 23.79/4.61 % (5834)------------------------------
% 23.79/4.61 % (5834)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.79/4.61 % (5834)Termination reason: Unknown
% 23.79/4.61 % (5834)Termination phase: Saturation
% 23.79/4.61
% 23.79/4.61 % (5834)Memory used [KB]: 6652
% 23.79/4.61 % (5834)Time elapsed: 0.151 s
% 23.79/4.61 % (5834)Instructions burned: 474 (million)
% 23.79/4.61 % (5834)------------------------------
% 23.79/4.61 % (5834)------------------------------
% 23.79/4.61 % (5836)dis+10_1:1024_kws=precedence:prag=on:rawr=on:sos=all:sp=unary_first:i=831:si=on:rtra=on_0 on DTF2THF_5231 for (2966ds/831Mi)
% 23.79/4.62 % (5836)Refutation not found, incomplete strategy
% 23.79/4.62 % (5836)------------------------------
% 23.79/4.62 % (5836)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.79/4.62 % (5836)Termination reason: Refutation not found, incomplete strategy
% 23.79/4.62
% 23.79/4.62
% 23.79/4.62 % (5836)Memory used [KB]: 5500
% 23.79/4.62 % (5836)Time elapsed: 0.001 s
% 23.79/4.62 % (5836)Instructions burned: 1 (million)
% 23.79/4.62 % (5836)------------------------------
% 23.79/4.62 % (5836)------------------------------
% 23.79/4.63 % (5837)dis+1666_14:1_cnfonf=lazy_gen:fe=off:hud=10:piset=all_but_not_eq:prag=on:sp=const_max:i=1188:si=on:rtra=on_0 on DTF2THF_5231 for (2966ds/1188Mi)
% 24.15/4.77 % (5833)Instruction limit reached!
% 24.15/4.77 % (5833)------------------------------
% 24.15/4.77 % (5833)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.15/4.77 % (5833)Termination reason: Unknown
% 24.15/4.77 % (5833)Termination phase: Saturation
% 24.15/4.77
% 24.15/4.77 % (5833)Memory used [KB]: 7547
% 24.15/4.77 % (5833)Time elapsed: 0.352 s
% 24.15/4.77 % (5833)Instructions burned: 1195 (million)
% 24.15/4.77 % (5833)------------------------------
% 24.15/4.77 % (5833)------------------------------
% 24.15/4.78 % (5838)ott+1010_1:20_cnfonf=lazy_pi_sigma_gen:fe=axiom:plsq=on:plsqc=2:plsqr=32,1:sac=on:sos=all:i=2868:si=on:rtra=on_0 on DTF2THF_5231 for (2965ds/2868Mi)
% 24.15/4.78 % (5838)Refutation not found, incomplete strategy
% 24.15/4.78 % (5838)------------------------------
% 24.15/4.78 % (5838)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.15/4.78 % (5838)Termination reason: Refutation not found, incomplete strategy
% 24.15/4.78
% 24.15/4.78
% 24.15/4.78 % (5838)Memory used [KB]: 5500
% 24.15/4.78 % (5838)Time elapsed: 0.002 s
% 24.15/4.78 % (5838)Instructions burned: 2 (million)
% 24.15/4.78 % (5838)------------------------------
% 24.15/4.78 % (5838)------------------------------
% 24.15/4.79 % (5839)dis+10_1:4_atotf=0.1:avsq=on:bsr=unit_only:e2e=on:sd=1:sp=const_max:ss=axioms:i=1516:si=on:rtra=on_0 on DTF2THF_5231 for (2965ds/1516Mi)
% 24.15/4.79 % (5839)Refutation not found, incomplete strategy
% 24.15/4.79 % (5839)------------------------------
% 24.15/4.79 % (5839)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.15/4.79 % (5839)Termination reason: Refutation not found, incomplete strategy
% 24.15/4.79
% 24.15/4.79
% 24.15/4.79 % (5839)Memory used [KB]: 5373
% 24.15/4.79 % (5839)Time elapsed: 0.001 s
% 24.15/4.79 % (5839)------------------------------
% 24.15/4.79 % (5839)------------------------------
% 24.72/4.80 % (5840)lrs+1002_1:20_afp=1000:au=on:bsd=on:cnfonf=lazy_not_gen_be_off:sos=all:sp=const_max:i=2321:si=on:rtra=on_0 on DTF2THF_5231 for (2965ds/2321Mi)
% 24.72/4.80 % (5840)Refutation not found, incomplete strategy
% 24.72/4.80 % (5840)------------------------------
% 24.72/4.80 % (5840)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.72/4.80 % (5840)Termination reason: Refutation not found, incomplete strategy
% 24.72/4.80
% 24.72/4.80
% 24.72/4.80 % (5840)Memory used [KB]: 5500
% 24.72/4.80 % (5840)Time elapsed: 0.001 s
% 24.72/4.80 % (5840)Instructions burned: 1 (million)
% 24.72/4.80 % (5840)------------------------------
% 24.72/4.80 % (5840)------------------------------
% 24.72/4.81 % (5841)dis+1010_1:1_au=on:bd=off:bsd=on:ixr=off:sp=const_max:i=2812:si=on:rtra=on_0 on DTF2THF_5231 for (2964ds/2812Mi)
% 24.72/4.88 % (5841)Refutation not found, incomplete strategy
% 24.72/4.88 % (5841)------------------------------
% 24.72/4.88 % (5841)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.72/4.88 % (5841)Termination reason: Refutation not found, incomplete strategy
% 24.72/4.88
% 24.72/4.88
% 24.72/4.88 % (5841)Memory used [KB]: 6268
% 24.72/4.88 % (5841)Time elapsed: 0.068 s
% 24.72/4.88 % (5841)Instructions burned: 205 (million)
% 24.72/4.88 % (5841)------------------------------
% 24.72/4.88 % (5841)------------------------------
% 24.72/4.89 % (5842)dis+1002_8:1_bd=off:sd=1:sgt=16:ss=axioms:i=4604:si=on:rtra=on_0 on DTF2THF_5231 for (2964ds/4604Mi)
% 24.72/4.89 % (5842)Refutation not found, incomplete strategy
% 24.72/4.89 % (5842)------------------------------
% 24.72/4.89 % (5842)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.72/4.89 % (5842)Termination reason: Refutation not found, incomplete strategy
% 24.72/4.89
% 24.72/4.89
% 24.72/4.89 % (5842)Memory used [KB]: 5373
% 24.72/4.89 % (5842)Time elapsed: 0.001 s
% 24.72/4.89 % (5842)------------------------------
% 24.72/4.89 % (5842)------------------------------
% 24.72/4.89 % (5832)Instruction limit reached!
% 24.72/4.89 % (5832)------------------------------
% 24.72/4.89 % (5832)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.72/4.89 % (5832)Termination reason: Unknown
% 24.72/4.89 % (5832)Termination phase: Saturation
% 24.72/4.89
% 24.72/4.89 % (5832)Memory used [KB]: 8827
% 24.72/4.89 % (5832)Time elapsed: 0.565 s
% 24.72/4.89 % (5832)Instructions burned: 1873 (million)
% 24.72/4.89 % (5832)------------------------------
% 24.72/4.89 % (5832)------------------------------
% 25.59/4.90 % (5843)ott+1002_1:4_c=on:chr=on:cnfonf=lazy_not_be_gen:hud=10:nm=10:piset=all_but_not_eq:rp=on:spb=goal:uhcvi=on:i=2678:si=on:rtra=on_0 on DTF2THF_5231 for (2964ds/2678Mi)
% 25.59/4.90 % (5844)dis+1010_1:4_avsq=on:avsqr=16,1:bet=on:cbe=off:cnfonf=lazy_not_be_gen:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=643:si=on:rtra=on_0 on DTF2THF_5231 for (2964ds/643Mi)
% 25.59/4.97 % (5837)Instruction limit reached!
% 25.59/4.97 % (5837)------------------------------
% 25.59/4.97 % (5837)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 25.59/4.97 % (5837)Termination reason: Unknown
% 25.59/4.97 % (5837)Termination phase: Saturation
% 25.59/4.97
% 25.59/4.97 % (5837)Memory used [KB]: 8443
% 25.59/4.97 % (5837)Time elapsed: 0.344 s
% 25.59/4.97 % (5837)Instructions burned: 1190 (million)
% 25.59/4.97 % (5837)------------------------------
% 25.59/4.97 % (5837)------------------------------
% 25.59/4.98 % (5845)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=458:si=on:rtra=on_0 on DTF2THF_5231 for (2963ds/458Mi)
% 25.59/4.99 % (5845)Refutation not found, incomplete strategy
% 25.59/4.99 % (5845)------------------------------
% 25.59/4.99 % (5845)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 25.59/4.99 % (5845)Termination reason: Refutation not found, incomplete strategy
% 25.59/4.99
% 25.59/4.99
% 25.59/4.99 % (5845)Memory used [KB]: 5756
% 25.59/4.99 % (5845)Time elapsed: 0.013 s
% 25.59/4.99 % (5845)Instructions burned: 34 (million)
% 25.59/4.99 % (5845)------------------------------
% 25.59/4.99 % (5845)------------------------------
% 25.59/5.00 % (5846)lrs+1010_1:1_anc=all_dependent:apa=on:au=on:bd=off:c=on:cnfonf=off:ntd=on:i=2546:si=on:rtra=on_0 on DTF2THF_5231 for (2963ds/2546Mi)
% 27.80/5.08 % (5807)Instruction limit reached!
% 27.80/5.08 % (5807)------------------------------
% 27.80/5.08 % (5807)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.80/5.08 % (5807)Termination reason: Unknown
% 27.80/5.08 % (5807)Termination phase: Saturation
% 27.80/5.08
% 27.80/5.08 % (5807)Memory used [KB]: 13944
% 27.80/5.08 % (5807)Time elapsed: 1.512 s
% 27.80/5.08 % (5807)Instructions burned: 5063 (million)
% 27.80/5.08 % (5807)------------------------------
% 27.80/5.08 % (5807)------------------------------
% 27.80/5.09 % (5847)dis+21_1:1_acc=model:au=on:cnfonf=lazy_gen:ins=2:plsq=on:plsqc=1:plsqr=32,1:i=1432:si=on:rtra=on_0 on DTF2THF_5231 for (2962ds/1432Mi)
% 27.80/5.11 % (5844)Instruction limit reached!
% 27.80/5.11 % (5844)------------------------------
% 27.80/5.11 % (5844)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.80/5.11 % (5844)Termination reason: Unknown
% 27.80/5.11 % (5844)Termination phase: Saturation
% 27.80/5.11
% 27.80/5.11 % (5844)Memory used [KB]: 7675
% 27.80/5.11 % (5844)Time elapsed: 0.206 s
% 27.80/5.11 % (5844)Instructions burned: 646 (million)
% 27.80/5.11 % (5844)------------------------------
% 27.80/5.11 % (5844)------------------------------
% 27.80/5.12 % (5848)dis+1002_1:1_cnfonf=lazy_not_gen:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=386:si=on:rtra=on_0 on DTF2THF_5231 for (2961ds/386Mi)
% 28.85/5.25 % (5848)Instruction limit reached!
% 28.85/5.25 % (5848)------------------------------
% 28.85/5.25 % (5848)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.85/5.25 % (5848)Termination reason: Unknown
% 28.85/5.25 % (5848)Termination phase: Saturation
% 28.85/5.25
% 28.85/5.25 % (5848)Memory used [KB]: 7164
% 28.85/5.25 % (5848)Time elapsed: 0.130 s
% 28.85/5.25 % (5848)Instructions burned: 386 (million)
% 28.85/5.25 % (5848)------------------------------
% 28.85/5.25 % (5848)------------------------------
% 28.85/5.26 % (5849)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=360:si=on:rtra=on_0 on DTF2THF_5231 for (2960ds/360Mi)
% 29.50/5.34 % (5828)Instruction limit reached!
% 29.50/5.34 % (5828)------------------------------
% 29.50/5.34 % (5828)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.50/5.34 % (5828)Termination reason: Unknown
% 29.50/5.34 % (5828)Termination phase: Saturation
% 29.50/5.34
% 29.50/5.34 % (5828)Memory used [KB]: 10746
% 29.50/5.34 % (5828)Time elapsed: 1.120 s
% 29.50/5.34 % (5828)Instructions burned: 3712 (million)
% 29.50/5.34 % (5828)------------------------------
% 29.50/5.34 % (5828)------------------------------
% 29.50/5.35 % (5809)Instruction limit reached!
% 29.50/5.35 % (5809)------------------------------
% 29.50/5.35 % (5809)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.50/5.35 % (5809)Termination reason: Unknown
% 29.50/5.35 % (5809)Termination phase: Saturation
% 29.50/5.35
% 29.50/5.35 % (5809)Memory used [KB]: 7036
% 29.50/5.35 % (5809)Time elapsed: 1.718 s
% 29.50/5.35 % (5809)Instructions burned: 5799 (million)
% 29.50/5.35 % (5809)------------------------------
% 29.50/5.35 % (5809)------------------------------
% 29.50/5.35 % (5850)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=5446:si=on:rtra=on_0 on DTF2THF_5231 for (2959ds/5446Mi)
% 29.50/5.36 % (5851)dis+10_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=2573:si=on:rtra=on_0 on DTF2THF_5231 for (2959ds/2573Mi)
% 29.50/5.36 % (5850)Refutation not found, incomplete strategy
% 29.50/5.36 % (5850)------------------------------
% 29.50/5.36 % (5850)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.50/5.36 % (5850)Termination reason: Refutation not found, incomplete strategy
% 29.50/5.36
% 29.50/5.36
% 29.50/5.36 % (5850)Memory used [KB]: 5756
% 29.50/5.36 % (5850)Time elapsed: 0.011 s
% 29.50/5.36 % (5850)Instructions burned: 26 (million)
% 29.50/5.36 % (5850)------------------------------
% 29.50/5.36 % (5850)------------------------------
% 29.50/5.37 % (5852)lrs+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:tnu=1:i=2655:si=on:rtra=on_0 on DTF2THF_5231 for (2959ds/2655Mi)
% 29.50/5.37 % (5849)Instruction limit reached!
% 29.50/5.37 % (5849)------------------------------
% 29.50/5.37 % (5849)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.50/5.37 % (5849)Termination reason: Unknown
% 29.50/5.37 % (5849)Termination phase: Saturation
% 29.50/5.37
% 29.50/5.37 % (5849)Memory used [KB]: 7164
% 29.50/5.37 % (5849)Time elapsed: 0.117 s
% 29.50/5.37 % (5849)Instructions burned: 361 (million)
% 29.50/5.37 % (5849)------------------------------
% 29.50/5.37 % (5849)------------------------------
% 29.50/5.38 % (5853)dis+1002_16:1_apa=on:au=on:av=off:cnfonf=off:e2e=on:nm=0:nwc=10.0:i=2781:si=on:rtra=on_0 on DTF2THF_5231 for (2959ds/2781Mi)
% 30.07/5.47 % (5835)Instruction limit reached!
% 30.07/5.47 % (5835)------------------------------
% 30.07/5.47 % (5835)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.07/5.47 % (5835)Termination reason: Unknown
% 30.07/5.47 % (5835)Termination phase: Saturation
% 30.07/5.47
% 30.07/5.47 % (5835)Memory used [KB]: 9850
% 30.07/5.47 % (5835)Time elapsed: 0.975 s
% 30.07/5.47 % (5835)Instructions burned: 3115 (million)
% 30.07/5.47 % (5835)------------------------------
% 30.07/5.47 % (5835)------------------------------
% 30.07/5.48 % (5854)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=307:si=on:rtra=on_0 on DTF2THF_5231 for (2958ds/307Mi)
% 30.35/5.54 % (5843)First to succeed.
% 30.35/5.55 % (5847)Instruction limit reached!
% 30.35/5.55 % (5847)------------------------------
% 30.35/5.55 % (5847)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.35/5.55 % (5847)Termination reason: Unknown
% 30.35/5.55 % (5847)Termination phase: Saturation
% 30.35/5.55
% 30.35/5.55 % (5847)Memory used [KB]: 9210
% 30.35/5.55 % (5847)Time elapsed: 0.455 s
% 30.35/5.55 % (5847)Instructions burned: 1434 (million)
% 30.35/5.55 % (5847)------------------------------
% 30.35/5.55 % (5847)------------------------------
% 30.35/5.56 % (5855)lrs+1010_1:1_avsq=on:avsqr=1,16:kws=inv_arity:nwc=5.0:sd=1:ss=axioms:i=1548:si=on:rtra=on_0 on DTF2THF_5231 for (2957ds/1548Mi)
% 30.35/5.56 % (5843)Refutation found. Thanks to Tanya!
% 30.35/5.56 % SZS status Unsatisfiable for DTF2THF_5231
% 30.35/5.56 % SZS output start Proof for DTF2THF_5231
% 30.35/5.56 thf(func_def_0, type, eps1: ($o > $o) > $o).
% 30.35/5.56 thf(func_def_2, type, eps2: ($o > $o) > $o).
% 30.35/5.56 thf(func_def_3, type, eps3: ($o > $o) > $o).
% 30.35/5.56 thf(func_def_4, type, eps4: ($o > $o) > $o).
% 30.35/5.56 thf(func_def_5, type, eps5: ($o > $o) > $o).
% 30.35/5.56 thf(func_def_6, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)).
% 30.35/5.56 thf(func_def_20, type, ph1: !>[X0: $tType]:(X0)).
% 30.35/5.56 thf(func_def_21, type, sK2: $o > $o).
% 30.35/5.56 thf(func_def_22, type, sK3: $o > $o).
% 30.35/5.56 thf(func_def_23, type, sK4: $o > $o).
% 30.35/5.56 thf(func_def_24, type, sK5: $o > $o).
% 30.35/5.56 thf(func_def_25, type, sK6: $o > $o).
% 30.35/5.56 thf(func_def_26, type, sK7: $o > $o).
% 30.35/5.56 thf(func_def_27, type, sK8: $o > $o).
% 30.35/5.56 thf(func_def_28, type, sK9: $o > $o).
% 30.35/5.56 thf(func_def_29, type, sK10: $o > $o).
% 30.35/5.56 thf(func_def_30, type, sK11: $o > $o).
% 30.35/5.56 thf(f22462,plain,(
% 30.35/5.56 $false),
% 30.35/5.56 inference(avatar_sat_refutation,[status(thm)],[f113,f122,f123,f149,f157,f167,f172,f177,f203,f208,f225,f231,f235,f244,f270,f283,f288,f329,f338,f351,f352,f366,f380,f382,f391,f394,f404,f408,f426,f439,f449,f502,f511,f516,f517,f522,f550,f555,f560,f573,f608,f613,f618,f623,f641,f671,f676,f693,f694,f728,f733,f746,f803,f808,f849,f856,f947,f983,f996,f1006,f1012,f1024,f1030,f1200,f1205,f1226,f1287,f1299,f1326,f1329,f1347,f1397,f1403,f1496,f1501,f1506,f1511,f1514,f1546,f1552,f1560,f1568,f1649,f1672,f1738,f1847,f1852,f1855,f1859,f1865,f1878,f1893,f1968,f1980,f1996,f2073,f2082,f2098,f2108,f2168,f2184,f2187,f2221,f2231,f2342,f2361,f2368,f2369,f2386,f2424,f2432,f2569,f2763,f3010,f3135,f3137,f3146,f3163,f3167,f3481,f3582,f3720,f3748,f3752,f3756,f3788,f3793,f3796,f3892,f3923,f4013,f4023,f4045,f4076,f4114,f4124,f4154,f4175,f4179,f4208,f4247,f4254,f4274,f4294,f4298,f4507,f4510,f4588,f4806,f4844,f4846,f4855,f4881,f4890,f4905,f4928,f5044,f5119,f5141,f5179,f5206,f5345,f5359,f5438,f5440,f5454,f5480,f5484,f5503,f5508,f5569,f5571,f5611,f5621,f5622,f5715,f5965,f6073,f6091,f6094,f6125,f6129,f6132,f6137,f6150,f6158,f6353,f6376,f6379,f6713,f6848,f6854,f6862,f6864,f6976,f6979,f7033,f7286,f7291,f7303,f7304,f7314,f7315,f7325,f7339,f7348,f7350,f7363,f7390,f7411,f7414,f7428,f7451,f7454,f7459,f7463,f7471,f7523,f7570,f7641,f7963,f8045,f8114,f8121,f8297,f8299,f8301,f8339,f8663,f8711,f8723,f8748,f8919,f8933,f9026,f9072,f9081,f9121,f9138,f9173,f9182,f9189,f9215,f9222,f9341,f9472,f9675,f10001,f10023,f10024,f10040,f10067,f10108,f10139,f10170,f10178,f10204,f10210,f10224,f10227,f10232,f10261,f10293,f10455,f10460,f10474,f10476,f10520,f10582,f10676,f10799,f10801,f10872,f10920,f10935,f10942,f10946,f10956,f11003,f11079,f11087,f11101,f11644,f11654,f11658,f11678,f11721,f11723,f11732,f11748,f11768,f11778,f11817,f11833,f11866,f11871,f11918,f11928,f11934,f11969,f12011,f12102,f12105,f12122,f12125,f12135,f12159,f12190,f12243,f12245,f12258,f12267,f12661,f12863,f12980,f13157,f13391,f13394,f13420,f13654,f13673,f13714,f13790,f13978,f13996,f14012,f14013,f14025,f14133,f14138,f14321,f14326,f14334,f14347,f14426,f14456,f14462,f14474,f14492,f14909,f14924,f14940,f14980,f14990,f15020,f15040,f15060,f15079,f15095,f15099,f15113,f15201,f15224,f15265,f15270,f15294,f15344,f15380,f15388,f15397,f15403,f15408,f15414,f15425,f15446,f15482,f15493,f15498,f15503,f15514,f15516,f15530,f15557,f15598,f15621,f15659,f15663,f15671,f15672,f15679,f15688,f15695,f15697,f15727,f15731,f15758,f15762,f15769,f15774,f15789,f15795,f15807,f15819,f15828,f15843,f15855,f15861,f15870,f15891,f15901,f15907,f15912,f15923,f15936,f16062,f16068,f16080,f16082,f16090,f16100,f16112,f16140,f16143,f16151,f16153,f16159,f16163,f16166,f16191,f16202,f16227,f16253,f16261,f16271,f16273,f16305,f16311,f16347,f16349,f16364,f16398,f16402,f16439,f16475,f16495,f16586,f16639,f17028,f17454,f17472,f17487,f17503,f17507,f17509,f17516,f17519,f17528,f17547,f17675,f17693,f17695,f17709,f17730,f17749,f18195,f18206,f18327,f18345,f18451,f18461,f18557,f18579,f18761,f18776,f18949,f18964,f18968,f18969,f18971,f18972,f18977,f19346,f19354,f19373,f19388,f19392,f19629,f19637,f19661,f19665,f19894,f19906,f19928,f19942,f19950,f19962,f19965,f19970,f20006,f20023,f20042,f20062,f20070,f20073,f20077,f20085,f20088,f20097,f20099,f20113,f20120,f20122,f20139,f20615,f20760,f20773,f20803,f20810,f20812,f20820,f20831,f20844,f20861,f20865,f20880,f20891,f20909,f20920,f20926,f20930,f20932,f20964,f20987,f21002,f21003,f21043,f21044,f21051,f21053,f21317,f21598,f21610,f21613,f21622,f21636,f21641,f21643,f21647,f21657,f21681,f21683,f21686,f21688,f21691,f21702,f21707,f21711,f21717,f21722,f21753,f21757,f21798,f21997,f22441,f22453])).
% 30.35/5.56 thf(f22453,plain,(
% 30.35/5.56 spl0_38 | ~spl0_53 | ~spl0_92 | ~spl0_233 | ~spl0_370),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f22452])).
% 30.35/5.56 thf(f22452,plain,(
% 30.35/5.56 $false | (spl0_38 | ~spl0_53 | ~spl0_92 | ~spl0_233 | ~spl0_370)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f22451,f1011])).
% 30.35/5.56 thf(f1011,plain,(
% 30.35/5.56 ((sK6 @ $false) = $true) | ~spl0_92),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f1009])).
% 30.35/5.56 thf(f1009,definition,(
% 30.35/5.56 spl0_92 <=> ((sK6 @ $false) = $true)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_92])],[avatar_definition])).
% 30.35/5.56 thf(f22451,plain,(
% 30.35/5.56 ((sK6 @ $false) != $true) | (spl0_38 | ~spl0_53 | ~spl0_233 | ~spl0_370)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f22450,f7398])).
% 30.35/5.56 thf(f7398,plain,(
% 30.35/5.56 ($true = (sK7 @ $false)) | ~spl0_233),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f7396])).
% 30.35/5.56 thf(f7396,definition,(
% 30.35/5.56 spl0_233 <=> ($true = (sK7 @ $false))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_233])],[avatar_definition])).
% 30.35/5.56 thf(f22450,plain,(
% 30.35/5.56 ((sK6 @ $false) != (sK7 @ $false)) | (spl0_38 | ~spl0_53 | ~spl0_370)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f22286,f22413])).
% 30.35/5.56 thf(f22413,plain,(
% 30.35/5.56 ($false = sK179) | ~spl0_370),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f22412])).
% 30.35/5.56 thf(f22412,definition,(
% 30.35/5.56 spl0_370 <=> ($false = sK179)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_370])],[avatar_definition])).
% 30.35/5.56 thf(f22286,plain,(
% 30.35/5.56 ((sK6 @ sK179) != (sK7 @ sK179)) | (spl0_38 | ~spl0_53)),
% 30.35/5.56 inference(negative_extensionality,[status(thm)],[f22281])).
% 30.35/5.56 thf(f22281,plain,(
% 30.35/5.56 (sK6 != sK7) | (spl0_38 | ~spl0_53)),
% 30.35/5.56 inference(trivial_inequality_removal,[status(thm)],[f22277])).
% 30.35/5.56 thf(f22277,plain,(
% 30.35/5.56 (sK6 != sK7) | ($false != $false) | (spl0_38 | ~spl0_53)),
% 30.35/5.56 inference(constrained_superposition,[status(thm)],[f420,f509])).
% 30.35/5.56 thf(f509,plain,(
% 30.35/5.56 ((eps3 @ sK7) = $false) | ~spl0_53),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f508])).
% 30.35/5.56 thf(f508,definition,(
% 30.35/5.56 spl0_53 <=> ((eps3 @ sK7) = $false)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_53])],[avatar_definition])).
% 30.35/5.56 thf(f420,plain,(
% 30.35/5.56 ((eps3 @ sK6) != $false) | spl0_38),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f419])).
% 30.35/5.56 thf(f419,definition,(
% 30.35/5.56 spl0_38 <=> ((eps3 @ sK6) = $false)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_38])],[avatar_definition])).
% 30.35/5.56 thf(f22441,plain,(
% 30.35/5.56 spl0_370 | spl0_38 | ~spl0_53 | ~spl0_93 | ~spl0_120),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f22440,f1517,f1017,f508,f419,f22412])).
% 30.35/5.56 thf(f1017,definition,(
% 30.35/5.56 spl0_93 <=> ($true = (sK6 @ $true))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_93])],[avatar_definition])).
% 30.35/5.56 thf(f1517,definition,(
% 30.35/5.56 spl0_120 <=> ($true = (sK7 @ $true))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_120])],[avatar_definition])).
% 30.35/5.56 thf(f22440,plain,(
% 30.35/5.56 ($false = sK179) | (spl0_38 | ~spl0_53 | ~spl0_93 | ~spl0_120)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f22439,f1019])).
% 30.35/5.56 thf(f1019,plain,(
% 30.35/5.56 ($true = (sK6 @ $true)) | ~spl0_93),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f1017])).
% 30.35/5.56 thf(f22439,plain,(
% 30.35/5.56 ($true != (sK6 @ $true)) | ($false = sK179) | (spl0_38 | ~spl0_53 | ~spl0_120)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f22407,f1519])).
% 30.35/5.56 thf(f1519,plain,(
% 30.35/5.56 ($true = (sK7 @ $true)) | ~spl0_120),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f1517])).
% 30.35/5.56 thf(f22407,plain,(
% 30.35/5.56 ($false = sK179) | ((sK6 @ $true) != (sK7 @ $true)) | (spl0_38 | ~spl0_53)),
% 30.35/5.56 inference(fool_paramodulation,[status(thm)],[f22286])).
% 30.35/5.56 thf(f21997,plain,(
% 30.35/5.56 ~spl0_87 | ~spl0_158 | spl0_310),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f21996])).
% 30.35/5.56 thf(f21996,plain,(
% 30.35/5.56 $false | (~spl0_87 | ~spl0_158 | spl0_310)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f21985,f21988])).
% 30.35/5.56 thf(f21988,plain,(
% 30.35/5.56 ($false = sK159) | (~spl0_158 | spl0_310)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f21979,f2365])).
% 30.35/5.56 thf(f2365,plain,(
% 30.35/5.56 ($true = (sK8 @ $true)) | ~spl0_158),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f2363])).
% 30.35/5.56 thf(f2363,definition,(
% 30.35/5.56 spl0_158 <=> ($true = (sK8 @ $true))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_158])],[avatar_definition])).
% 30.35/5.56 thf(f21979,plain,(
% 30.35/5.56 ($true != (sK8 @ $true)) | ($false = sK159) | spl0_310),
% 30.35/5.56 inference(fool_paramodulation,[status(thm)],[f18316])).
% 30.35/5.56 thf(f18316,plain,(
% 30.35/5.56 ($true != (sK8 @ sK159)) | spl0_310),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f18315])).
% 30.35/5.56 thf(f18315,definition,(
% 30.35/5.56 spl0_310 <=> ($true = (sK8 @ sK159))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_310])],[avatar_definition])).
% 30.35/5.56 thf(f21985,plain,(
% 30.35/5.56 ($false != sK159) | (~spl0_87 | spl0_310)),
% 30.35/5.56 inference(trivial_inequality_removal,[status(thm)],[f21983])).
% 30.35/5.56 thf(f21983,plain,(
% 30.35/5.56 ($true != $true) | ($false != sK159) | (~spl0_87 | spl0_310)),
% 30.35/5.56 inference(constrained_superposition,[status(thm)],[f18316,f855])).
% 30.35/5.56 thf(f855,plain,(
% 30.35/5.56 ($true = (sK8 @ $false)) | ~spl0_87),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f853])).
% 30.35/5.56 thf(f853,definition,(
% 30.35/5.56 spl0_87 <=> ($true = (sK8 @ $false))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_87])],[avatar_definition])).
% 30.35/5.56 thf(f21798,plain,(
% 30.35/5.56 ~spl0_77 | ~spl0_76),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f21797,f686,f690])).
% 30.35/5.56 thf(f690,definition,(
% 30.35/5.56 spl0_77 <=> ((eps3 @ sK10) = $false)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_77])],[avatar_definition])).
% 30.35/5.56 thf(f686,definition,(
% 30.35/5.56 spl0_76 <=> ((eps2 @ sK10) = $false)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_76])],[avatar_definition])).
% 30.35/5.56 thf(f21797,plain,(
% 30.35/5.56 ((eps3 @ sK10) != $false) | ~spl0_76),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f85,f688])).
% 30.35/5.56 thf(f688,plain,(
% 30.35/5.56 ((eps2 @ sK10) = $false) | ~spl0_76),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f686])).
% 30.35/5.56 thf(f85,plain,(
% 30.35/5.56 ((eps3 @ sK10) != (eps2 @ sK10))),
% 30.35/5.56 inference(negative_extensionality,[status(thm)],[f48])).
% 30.35/5.56 thf(f48,plain,(
% 30.35/5.56 (eps2 != eps3)),
% 30.35/5.56 inference(cnf_transformation,[status(thm)],[f28])).
% 30.35/5.56 thf(f28,plain,(
% 30.35/5.56 (eps2 != eps3)),
% 30.35/5.56 inference(fool_elimination,[status(thm)],[f10])).
% 30.35/5.56 thf(f10,axiom,(
% 30.35/5.56 (eps2 != eps3)),
% 30.35/5.56 file('/export/starexec/sandbox2/tmp/tmp.2wiz2zWszC/DTF2THF_5231.p',choiceax23)).
% 30.35/5.56 thf(f21757,plain,(
% 30.35/5.56 ~spl0_61 | ~spl0_23 | spl0_143),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f21756,f1965,f257,f570])).
% 30.35/5.56 thf(f570,definition,(
% 30.35/5.56 spl0_61 <=> (sK8 = sK2)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_61])],[avatar_definition])).
% 30.35/5.56 thf(f257,definition,(
% 30.35/5.56 spl0_23 <=> (sK3 = sK2)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_23])],[avatar_definition])).
% 30.35/5.56 thf(f1965,definition,(
% 30.35/5.56 spl0_143 <=> (sK8 = sK3)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_143])],[avatar_definition])).
% 30.35/5.56 thf(f21756,plain,(
% 30.35/5.56 (sK8 != sK2) | (~spl0_23 | spl0_143)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f1967,f258])).
% 30.35/5.56 thf(f258,plain,(
% 30.35/5.56 (sK3 = sK2) | ~spl0_23),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f257])).
% 30.35/5.56 thf(f1967,plain,(
% 30.35/5.56 (sK8 != sK3) | spl0_143),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f1965])).
% 30.35/5.56 thf(f21753,plain,(
% 30.35/5.56 ~spl0_18 | ~spl0_345),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f21752])).
% 30.35/5.56 thf(f21752,plain,(
% 30.35/5.56 $false | (~spl0_18 | ~spl0_345)),
% 30.35/5.56 inference(trivial_inequality_removal,[status(thm)],[f21751])).
% 30.35/5.56 thf(f21751,plain,(
% 30.35/5.56 ($true = $false) | (~spl0_18 | ~spl0_345)),
% 30.35/5.56 inference(backward_demodulation,[status(thm)],[f19883,f211])).
% 30.35/5.56 thf(f211,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (((sK4 @ X1) = $false)) ) | ~spl0_18),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f210])).
% 30.35/5.56 thf(f210,definition,(
% 30.35/5.56 spl0_18 <=> ! [X1 : $o] : ((sK4 @ X1) = $false)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_18])],[avatar_definition])).
% 30.35/5.56 thf(f19883,plain,(
% 30.35/5.56 ($true = (sK4 @ sK167)) | ~spl0_345),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f19882])).
% 30.35/5.56 thf(f19882,definition,(
% 30.35/5.56 spl0_345 <=> ($true = (sK4 @ sK167))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_345])],[avatar_definition])).
% 30.35/5.56 thf(f21722,plain,(
% 30.35/5.56 ~spl0_7 | ~spl0_128 | ~spl0_134),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f21721,f1766,f1721,f119])).
% 30.35/5.56 thf(f119,definition,(
% 30.35/5.56 spl0_7 <=> ($true = (eps4 @ sK2))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_7])],[avatar_definition])).
% 30.35/5.56 thf(f1721,definition,(
% 30.35/5.56 spl0_128 <=> (sK2 = sK5)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_128])],[avatar_definition])).
% 30.35/5.56 thf(f1766,definition,(
% 30.35/5.56 spl0_134 <=> ((eps5 @ sK2) = $true)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_134])],[avatar_definition])).
% 30.35/5.56 thf(f21721,plain,(
% 30.35/5.56 ($true != (eps4 @ sK2)) | (~spl0_128 | ~spl0_134)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f21720,f1768])).
% 30.35/5.56 thf(f1768,plain,(
% 30.35/5.56 ((eps5 @ sK2) = $true) | ~spl0_134),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f1766])).
% 30.35/5.56 thf(f21720,plain,(
% 30.35/5.56 ((eps5 @ sK2) != (eps4 @ sK2)) | ~spl0_128),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f80,f1722])).
% 30.35/5.56 thf(f1722,plain,(
% 30.35/5.56 (sK2 = sK5) | ~spl0_128),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f1721])).
% 30.35/5.56 thf(f80,plain,(
% 30.35/5.56 ((eps4 @ sK5) != (eps5 @ sK5))),
% 30.35/5.56 inference(negative_extensionality,[status(thm)],[f43])).
% 30.35/5.56 thf(f43,plain,(
% 30.35/5.56 (eps4 != eps5)),
% 30.35/5.56 inference(cnf_transformation,[status(thm)],[f30])).
% 30.35/5.56 thf(f30,plain,(
% 30.35/5.56 (eps4 != eps5)),
% 30.35/5.56 inference(fool_elimination,[status(thm)],[f15])).
% 30.35/5.56 thf(f15,axiom,(
% 30.35/5.56 (eps4 != eps5)),
% 30.35/5.56 file('/export/starexec/sandbox2/tmp/tmp.2wiz2zWszC/DTF2THF_5231.p',choiceax45)).
% 30.35/5.56 thf(f21717,plain,(
% 30.35/5.56 spl0_24 | ~spl0_14 | ~spl0_23),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f21716,f257,f169,f261])).
% 30.35/5.56 thf(f261,definition,(
% 30.35/5.56 spl0_24 <=> ((eps3 @ sK2) = $false)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_24])],[avatar_definition])).
% 30.35/5.56 thf(f169,definition,(
% 30.35/5.56 spl0_14 <=> ((eps3 @ sK3) = $false)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_14])],[avatar_definition])).
% 30.35/5.56 thf(f21716,plain,(
% 30.35/5.56 ((eps3 @ sK2) = $false) | (~spl0_14 | ~spl0_23)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f171,f258])).
% 30.35/5.56 thf(f171,plain,(
% 30.35/5.56 ((eps3 @ sK3) = $false) | ~spl0_14),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f169])).
% 30.35/5.56 thf(f21711,plain,(
% 30.35/5.56 ~spl0_7 | ~spl0_6),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f21710,f115,f119])).
% 30.35/5.56 thf(f115,definition,(
% 30.35/5.56 spl0_6 <=> ((eps2 @ sK2) = $true)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_6])],[avatar_definition])).
% 30.35/5.56 thf(f21710,plain,(
% 30.35/5.56 ($true != (eps4 @ sK2)) | ~spl0_6),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f77,f117])).
% 30.35/5.56 thf(f117,plain,(
% 30.35/5.56 ((eps2 @ sK2) = $true) | ~spl0_6),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f115])).
% 30.35/5.56 thf(f77,plain,(
% 30.35/5.56 ((eps2 @ sK2) != (eps4 @ sK2))),
% 30.35/5.56 inference(negative_extensionality,[status(thm)],[f38])).
% 30.35/5.56 thf(f38,plain,(
% 30.35/5.56 (eps2 != eps4)),
% 30.35/5.56 inference(cnf_transformation,[status(thm)],[f29])).
% 30.35/5.56 thf(f29,plain,(
% 30.35/5.56 (eps2 != eps4)),
% 30.35/5.56 inference(fool_elimination,[status(thm)],[f11])).
% 30.35/5.56 thf(f11,axiom,(
% 30.35/5.56 (eps2 != eps4)),
% 30.35/5.56 file('/export/starexec/sandbox2/tmp/tmp.2wiz2zWszC/DTF2THF_5231.p',choiceax24)).
% 30.35/5.56 thf(f21707,plain,(
% 30.35/5.56 spl0_110 | ~spl0_72 | ~spl0_74),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f21706,f678,f668,f1340])).
% 30.35/5.56 thf(f1340,definition,(
% 30.35/5.56 spl0_110 <=> ($true = (sK10 @ $true))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_110])],[avatar_definition])).
% 30.35/5.56 thf(f668,definition,(
% 30.35/5.56 spl0_72 <=> ((eps3 @ sK10) = $true)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_72])],[avatar_definition])).
% 30.35/5.56 thf(f678,definition,(
% 30.35/5.56 spl0_74 <=> ($true = (sK10 @ (eps3 @ sK10)))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_74])],[avatar_definition])).
% 30.35/5.56 thf(f21706,plain,(
% 30.35/5.56 ($true = (sK10 @ $true)) | (~spl0_72 | ~spl0_74)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f680,f670])).
% 30.35/5.56 thf(f670,plain,(
% 30.35/5.56 ((eps3 @ sK10) = $true) | ~spl0_72),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f668])).
% 30.35/5.56 thf(f680,plain,(
% 30.35/5.56 ($true = (sK10 @ (eps3 @ sK10))) | ~spl0_74),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f678])).
% 30.35/5.56 thf(f21702,plain,(
% 30.35/5.56 spl0_134 | ~spl0_8 | ~spl0_23),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f21701,f257,f142,f1766])).
% 30.35/5.56 thf(f142,definition,(
% 30.35/5.56 spl0_8 <=> ($true = (eps5 @ sK3))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_8])],[avatar_definition])).
% 30.35/5.56 thf(f21701,plain,(
% 30.35/5.56 ((eps5 @ sK2) = $true) | (~spl0_8 | ~spl0_23)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f144,f258])).
% 30.35/5.56 thf(f144,plain,(
% 30.35/5.56 ($true = (eps5 @ sK3)) | ~spl0_8),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f142])).
% 30.35/5.56 thf(f21691,plain,(
% 30.35/5.56 ~spl0_4 | ~spl0_23 | spl0_224),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f21690,f7046,f257,f106])).
% 30.35/5.56 thf(f106,definition,(
% 30.35/5.56 spl0_4 <=> ((eps2 @ sK2) = $false)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_4])],[avatar_definition])).
% 30.35/5.56 thf(f7046,definition,(
% 30.35/5.56 spl0_224 <=> ($false = (eps2 @ sK3))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_224])],[avatar_definition])).
% 30.35/5.56 thf(f21690,plain,(
% 30.35/5.56 ((eps2 @ sK2) != $false) | (~spl0_23 | spl0_224)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f7048,f258])).
% 30.35/5.56 thf(f7048,plain,(
% 30.35/5.56 ($false != (eps2 @ sK3)) | spl0_224),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f7046])).
% 30.35/5.56 thf(f21688,plain,(
% 30.35/5.56 spl0_87 | spl0_59 | ~spl0_56),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f19978,f547,f562,f853])).
% 30.35/5.56 thf(f562,definition,(
% 30.35/5.56 spl0_59 <=> ! [X1 : $o] : ((sK8 @ X1) = $false)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_59])],[avatar_definition])).
% 30.35/5.56 thf(f547,definition,(
% 30.35/5.56 spl0_56 <=> ((eps1 @ sK8) = $false)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_56])],[avatar_definition])).
% 30.35/5.56 thf(f19978,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (((sK8 @ X1) = $false) | ($true = (sK8 @ $false))) ) | ~spl0_56),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f19274,f549])).
% 30.35/5.56 thf(f549,plain,(
% 30.35/5.56 ((eps1 @ sK8) = $false) | ~spl0_56),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f547])).
% 30.35/5.56 thf(f19274,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (((sK8 @ X1) = $false) | ($true = (sK8 @ (eps1 @ sK8)))) )),
% 30.35/5.56 introduced(definition,[],[choice_axiom])).
% 30.35/5.56 thf(f21686,plain,(
% 30.35/5.56 spl0_158 | spl0_59 | ~spl0_58),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f20370,f557,f562,f2363])).
% 30.35/5.56 thf(f557,definition,(
% 30.35/5.56 spl0_58 <=> ($true = (eps4 @ sK8))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_58])],[avatar_definition])).
% 30.35/5.56 thf(f20370,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (((sK8 @ X1) = $false) | ($true = (sK8 @ $true))) ) | ~spl0_58),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f20362,f559])).
% 30.35/5.56 thf(f559,plain,(
% 30.35/5.56 ($true = (eps4 @ sK8)) | ~spl0_58),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f557])).
% 30.35/5.56 thf(f20362,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (($true = (sK8 @ (eps4 @ sK8))) | ((sK8 @ X1) = $false)) )),
% 30.35/5.56 introduced(definition,[],[choice_axiom])).
% 30.35/5.56 thf(f21683,plain,(
% 30.35/5.56 spl0_5 | ~spl0_29 | ~spl0_128),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f21682,f1721,f322,f110])).
% 30.35/5.56 thf(f110,definition,(
% 30.35/5.56 spl0_5 <=> ((eps4 @ sK2) = $false)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_5])],[avatar_definition])).
% 30.35/5.56 thf(f322,definition,(
% 30.35/5.56 spl0_29 <=> ((eps4 @ sK5) = $false)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_29])],[avatar_definition])).
% 30.35/5.56 thf(f21682,plain,(
% 30.35/5.56 ((eps4 @ sK2) = $false) | (~spl0_29 | ~spl0_128)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f323,f1722])).
% 30.35/5.56 thf(f323,plain,(
% 30.35/5.56 ((eps4 @ sK5) = $false) | ~spl0_29),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f322])).
% 30.35/5.56 thf(f21681,plain,(
% 30.35/5.56 spl0_18 | spl0_94 | ~spl0_15),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f21680,f196,f1037,f210])).
% 30.35/5.56 thf(f1037,definition,(
% 30.35/5.56 spl0_94 <=> ($true = (sK4 @ $true))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_94])],[avatar_definition])).
% 30.35/5.56 thf(f196,definition,(
% 30.35/5.56 spl0_15 <=> ($true = (eps2 @ sK4))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_15])],[avatar_definition])).
% 30.35/5.56 thf(f21680,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (((sK4 @ X1) = $false) | ($true = (sK4 @ $true))) ) | ~spl0_15),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f18043,f198])).
% 30.35/5.56 thf(f198,plain,(
% 30.35/5.56 ($true = (eps2 @ sK4)) | ~spl0_15),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f196])).
% 30.35/5.56 thf(f18043,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (((sK4 @ X1) = $false) | ($true = (sK4 @ (eps2 @ sK4)))) )),
% 30.35/5.56 introduced(definition,[],[choice_axiom])).
% 30.35/5.56 thf(f21657,plain,(
% 30.35/5.56 ~spl0_7 | spl0_31 | ~spl0_128),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f21656,f1721,f331,f119])).
% 30.35/5.56 thf(f331,definition,(
% 30.35/5.56 spl0_31 <=> ((eps4 @ sK5) = $true)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_31])],[avatar_definition])).
% 30.35/5.56 thf(f21656,plain,(
% 30.35/5.56 ($true != (eps4 @ sK2)) | (spl0_31 | ~spl0_128)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f332,f1722])).
% 30.35/5.56 thf(f332,plain,(
% 30.35/5.56 ((eps4 @ sK5) != $true) | spl0_31),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f331])).
% 30.35/5.56 thf(f21647,plain,(
% 30.35/5.56 ~spl0_25 | ~spl0_17 | ~spl0_23 | spl0_308),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f21646,f18188,f257,f205,f267])).
% 30.35/5.56 thf(f267,definition,(
% 30.35/5.56 spl0_25 <=> ((eps5 @ sK2) = $false)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_25])],[avatar_definition])).
% 30.35/5.56 thf(f205,definition,(
% 30.35/5.56 spl0_17 <=> (sK4 = sK2)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_17])],[avatar_definition])).
% 30.35/5.56 thf(f18188,definition,(
% 30.35/5.56 spl0_308 <=> ((eps5 @ sK4) = $false)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_308])],[avatar_definition])).
% 30.35/5.56 thf(f21646,plain,(
% 30.35/5.56 ((eps5 @ sK2) != $false) | (sK4 != sK2) | (~spl0_23 | spl0_308)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f21533,f258])).
% 30.35/5.56 thf(f21533,plain,(
% 30.35/5.56 (sK4 != sK3) | ((eps5 @ sK2) != $false) | (~spl0_23 | spl0_308)),
% 30.35/5.56 inference(constrained_superposition,[status(thm)],[f18190,f258])).
% 30.35/5.56 thf(f18190,plain,(
% 30.35/5.56 ((eps5 @ sK4) != $false) | spl0_308),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f18188])).
% 30.35/5.56 thf(f21643,plain,(
% 30.35/5.56 spl0_134 | ~spl0_17 | ~spl0_128 | ~spl0_305),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f21642,f18086,f1721,f205,f1766])).
% 30.35/5.56 thf(f18086,definition,(
% 30.35/5.56 spl0_305 <=> ($true = (eps5 @ sK4))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_305])],[avatar_definition])).
% 30.35/5.56 thf(f21642,plain,(
% 30.35/5.56 (sK4 != sK2) | ((eps5 @ sK2) = $true) | (~spl0_128 | ~spl0_305)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f21503,f1722])).
% 30.35/5.56 thf(f21503,plain,(
% 30.35/5.56 ((eps5 @ sK2) = $true) | (sK4 != sK5) | (~spl0_128 | ~spl0_305)),
% 30.35/5.56 inference(constrained_superposition,[status(thm)],[f18088,f1722])).
% 30.35/5.56 thf(f18088,plain,(
% 30.35/5.56 ($true = (eps5 @ sK4)) | ~spl0_305),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f18086])).
% 30.35/5.56 thf(f21641,plain,(
% 30.35/5.56 ~spl0_25 | spl0_13 | ~spl0_23),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f21640,f257,f164,f267])).
% 30.35/5.56 thf(f164,definition,(
% 30.35/5.56 spl0_13 <=> ($false = (eps5 @ sK3))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_13])],[avatar_definition])).
% 30.35/5.56 thf(f21640,plain,(
% 30.35/5.56 ((eps5 @ sK2) != $false) | (spl0_13 | ~spl0_23)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f165,f258])).
% 30.35/5.56 thf(f165,plain,(
% 30.35/5.56 ($false != (eps5 @ sK3)) | spl0_13),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f164])).
% 30.35/5.56 thf(f21636,plain,(
% 30.35/5.56 spl0_5 | ~spl0_23 | ~spl0_147),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f21635,f2000,f257,f110])).
% 30.35/5.56 thf(f2000,definition,(
% 30.35/5.56 spl0_147 <=> ((eps4 @ sK3) = $false)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_147])],[avatar_definition])).
% 30.35/5.56 thf(f21635,plain,(
% 30.35/5.56 ((eps4 @ sK2) = $false) | (~spl0_23 | ~spl0_147)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f2002,f258])).
% 30.35/5.56 thf(f2002,plain,(
% 30.35/5.56 ((eps4 @ sK3) = $false) | ~spl0_147),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f2000])).
% 30.35/5.56 thf(f21622,plain,(
% 30.35/5.56 spl0_21 | ~spl0_84 | ~spl0_309),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f21621])).
% 30.35/5.56 thf(f21621,plain,(
% 30.35/5.56 $false | (spl0_21 | ~spl0_84 | ~spl0_309)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f21620,f223])).
% 30.35/5.56 thf(f223,plain,(
% 30.35/5.56 ((eps1 @ sK4) != $false) | spl0_21),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f222])).
% 30.35/5.56 thf(f222,definition,(
% 30.35/5.56 spl0_21 <=> ((eps1 @ sK4) = $false)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_21])],[avatar_definition])).
% 30.35/5.56 thf(f21620,plain,(
% 30.35/5.56 ((eps1 @ sK4) = $false) | (~spl0_84 | ~spl0_309)),
% 30.35/5.56 inference(backward_demodulation,[status(thm)],[f745,f18193])).
% 30.35/5.56 thf(f18193,plain,(
% 30.35/5.56 (sK11 = sK4) | ~spl0_309),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f18192])).
% 30.35/5.56 thf(f18192,definition,(
% 30.35/5.56 spl0_309 <=> (sK11 = sK4)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_309])],[avatar_definition])).
% 30.35/5.56 thf(f745,plain,(
% 30.35/5.56 ((eps1 @ sK11) = $false) | ~spl0_84),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f743])).
% 30.35/5.56 thf(f743,definition,(
% 30.35/5.56 spl0_84 <=> ((eps1 @ sK11) = $false)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_84])],[avatar_definition])).
% 30.35/5.56 thf(f21613,plain,(
% 30.35/5.56 ~spl0_79 | ~spl0_84),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f21612,f743,f721])).
% 30.35/5.56 thf(f721,definition,(
% 30.35/5.56 spl0_79 <=> ((eps5 @ sK11) = $false)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_79])],[avatar_definition])).
% 30.35/5.56 thf(f21612,plain,(
% 30.35/5.56 ((eps5 @ sK11) != $false) | ~spl0_84),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f86,f745])).
% 30.35/5.56 thf(f86,plain,(
% 30.35/5.56 ((eps5 @ sK11) != (eps1 @ sK11))),
% 30.35/5.56 inference(negative_extensionality,[status(thm)],[f50])).
% 30.35/5.56 thf(f50,plain,(
% 30.35/5.56 (eps1 != eps5)),
% 30.35/5.56 inference(cnf_transformation,[status(thm)],[f31])).
% 30.35/5.56 thf(f31,plain,(
% 30.35/5.56 (eps1 != eps5)),
% 30.35/5.56 inference(fool_elimination,[status(thm)],[f9])).
% 30.35/5.56 thf(f9,axiom,(
% 30.35/5.56 (eps1 != eps5)),
% 30.35/5.56 file('/export/starexec/sandbox2/tmp/tmp.2wiz2zWszC/DTF2THF_5231.p',choiceax15)).
% 30.35/5.56 thf(f21610,plain,(
% 30.35/5.56 spl0_83 | spl0_86),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f21391,f753,f739])).
% 30.35/5.56 thf(f739,definition,(
% 30.35/5.56 spl0_83 <=> ! [X1 : $o] : ($false = (sK11 @ X1))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_83])],[avatar_definition])).
% 30.35/5.56 thf(f753,definition,(
% 30.35/5.56 spl0_86 <=> ($true = (sK11 @ (eps5 @ sK11)))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_86])],[avatar_definition])).
% 30.35/5.56 thf(f21391,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (($true = (sK11 @ (eps5 @ sK11))) | ($false = (sK11 @ X1))) )),
% 30.35/5.56 introduced(definition,[],[choice_axiom])).
% 30.35/5.56 thf(f21598,plain,(
% 30.35/5.56 ~spl0_94 | ~spl0_111 | ~spl0_169 | ~spl0_213 | spl0_309),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f21597])).
% 30.35/5.56 thf(f21597,plain,(
% 30.35/5.56 $false | (~spl0_94 | ~spl0_111 | ~spl0_169 | ~spl0_213 | spl0_309)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f21596,f5516])).
% 30.35/5.56 thf(f5516,plain,(
% 30.35/5.56 ($true = (sK4 @ $false)) | ~spl0_213),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f5514])).
% 30.35/5.56 thf(f5514,definition,(
% 30.35/5.56 spl0_213 <=> ($true = (sK4 @ $false))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_213])],[avatar_definition])).
% 30.35/5.56 thf(f21596,plain,(
% 30.35/5.56 ($true != (sK4 @ $false)) | (~spl0_94 | ~spl0_111 | ~spl0_169 | spl0_309)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f21595,f21590])).
% 30.35/5.56 thf(f21590,plain,(
% 30.35/5.56 (sK160 = $false) | (~spl0_94 | ~spl0_169 | spl0_309)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f21589,f2744])).
% 30.35/5.56 thf(f2744,plain,(
% 30.35/5.56 ($true = (sK11 @ $true)) | ~spl0_169),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f2743])).
% 30.35/5.56 thf(f2743,definition,(
% 30.35/5.56 spl0_169 <=> ($true = (sK11 @ $true))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_169])],[avatar_definition])).
% 30.35/5.56 thf(f21589,plain,(
% 30.35/5.56 ($true != (sK11 @ $true)) | (sK160 = $false) | (~spl0_94 | spl0_309)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f21570,f1039])).
% 30.35/5.56 thf(f1039,plain,(
% 30.35/5.56 ($true = (sK4 @ $true)) | ~spl0_94),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f1037])).
% 30.35/5.56 thf(f21570,plain,(
% 30.35/5.56 (sK160 = $false) | ((sK11 @ $true) != (sK4 @ $true)) | spl0_309),
% 30.35/5.56 inference(fool_paramodulation,[status(thm)],[f18237])).
% 30.35/5.56 thf(f18237,plain,(
% 30.35/5.56 ((sK4 @ sK160) != (sK11 @ sK160)) | spl0_309),
% 30.35/5.56 inference(negative_extensionality,[status(thm)],[f18194])).
% 30.35/5.56 thf(f18194,plain,(
% 30.35/5.56 (sK11 != sK4) | spl0_309),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f18192])).
% 30.35/5.56 thf(f21595,plain,(
% 30.35/5.56 ($true != (sK4 @ sK160)) | (~spl0_94 | ~spl0_111 | ~spl0_169 | spl0_309)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f21574,f21590])).
% 30.35/5.56 thf(f21574,plain,(
% 30.35/5.56 (sK160 != $false) | ($true != (sK4 @ sK160)) | (~spl0_111 | spl0_309)),
% 30.35/5.56 inference(constrained_superposition,[status(thm)],[f18237,f1409])).
% 30.35/5.56 thf(f1409,plain,(
% 30.35/5.56 ((sK11 @ $false) = $true) | ~spl0_111),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f1407])).
% 30.35/5.56 thf(f1407,definition,(
% 30.35/5.56 spl0_111 <=> ((sK11 @ $false) = $true)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_111])],[avatar_definition])).
% 30.35/5.56 thf(f21317,plain,(
% 30.35/5.56 ~spl0_111 | spl0_114 | ~spl0_312),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f21316])).
% 30.35/5.56 thf(f21316,plain,(
% 30.35/5.56 $false | (~spl0_111 | spl0_114 | ~spl0_312)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f21315,f1467])).
% 30.35/5.56 thf(f1467,plain,(
% 30.35/5.56 ((sK11 @ $true) != $false) | spl0_114),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f1465])).
% 30.35/5.56 thf(f1465,definition,(
% 30.35/5.56 spl0_114 <=> ((sK11 @ $true) = $false)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_114])],[avatar_definition])).
% 30.35/5.56 thf(f21315,plain,(
% 30.35/5.56 ((sK11 @ $true) = $false) | (~spl0_111 | ~spl0_312)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f21300,f21314])).
% 30.35/5.56 thf(f21314,plain,(
% 30.35/5.56 ($false != sK159) | (~spl0_111 | ~spl0_312)),
% 30.35/5.56 inference(trivial_inequality_removal,[status(thm)],[f21307])).
% 30.35/5.56 thf(f21307,plain,(
% 30.35/5.56 ($false != sK159) | ($true = $false) | (~spl0_111 | ~spl0_312)),
% 30.35/5.56 inference(constrained_superposition,[status(thm)],[f1409,f18326])).
% 30.35/5.56 thf(f18326,plain,(
% 30.35/5.56 ((sK11 @ sK159) = $false) | ~spl0_312),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f18324])).
% 30.35/5.56 thf(f18324,definition,(
% 30.35/5.56 spl0_312 <=> ((sK11 @ sK159) = $false)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_312])],[avatar_definition])).
% 30.35/5.56 thf(f21300,plain,(
% 30.35/5.56 ($false = sK159) | ((sK11 @ $true) = $false) | ~spl0_312),
% 30.35/5.56 inference(fool_paramodulation,[status(thm)],[f18326])).
% 30.35/5.56 thf(f21053,plain,(
% 30.35/5.56 spl0_82 | spl0_83),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f18409,f739,f735])).
% 30.35/5.56 thf(f735,definition,(
% 30.35/5.56 spl0_82 <=> ($true = (sK11 @ (eps1 @ sK11)))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_82])],[avatar_definition])).
% 30.35/5.56 thf(f18409,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (($false = (sK11 @ X1)) | ($true = (sK11 @ (eps1 @ sK11)))) )),
% 30.35/5.56 introduced(definition,[],[choice_axiom])).
% 30.35/5.56 thf(f21051,plain,(
% 30.35/5.56 spl0_128 | ~spl0_23 | ~spl0_30),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f21050,f326,f257,f1721])).
% 30.35/5.56 thf(f326,definition,(
% 30.35/5.56 spl0_30 <=> (sK3 = sK5)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_30])],[avatar_definition])).
% 30.35/5.56 thf(f21050,plain,(
% 30.35/5.56 (sK2 = sK5) | (~spl0_23 | ~spl0_30)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f327,f258])).
% 30.35/5.56 thf(f327,plain,(
% 30.35/5.56 (sK3 = sK5) | ~spl0_30),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f326])).
% 30.35/5.56 thf(f21044,plain,(
% 30.35/5.56 spl0_33 | spl0_34),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f18246,f344,f340])).
% 30.35/5.56 thf(f340,definition,(
% 30.35/5.56 spl0_33 <=> ($true = (sK5 @ (eps4 @ sK5)))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_33])],[avatar_definition])).
% 30.35/5.56 thf(f344,definition,(
% 30.35/5.56 spl0_34 <=> ! [X1 : $o] : ($false = (sK5 @ X1))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_34])],[avatar_definition])).
% 30.35/5.56 thf(f18246,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (($true = (sK5 @ (eps4 @ sK5))) | ($false = (sK5 @ X1))) )),
% 30.35/5.56 introduced(definition,[],[choice_axiom])).
% 30.35/5.56 thf(f21043,plain,(
% 30.35/5.56 ~spl0_29 | ~spl0_35),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f21042,f348,f322])).
% 30.35/5.56 thf(f348,definition,(
% 30.35/5.56 spl0_35 <=> ((eps5 @ sK5) = $false)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_35])],[avatar_definition])).
% 30.35/5.56 thf(f21042,plain,(
% 30.35/5.56 ((eps4 @ sK5) != $false) | ~spl0_35),
% 30.35/5.56 inference(backward_demodulation,[status(thm)],[f80,f350])).
% 30.35/5.56 thf(f350,plain,(
% 30.35/5.56 ((eps5 @ sK5) = $false) | ~spl0_35),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f348])).
% 30.35/5.56 thf(f21003,plain,(
% 30.35/5.56 spl0_307 | ~spl0_29 | ~spl0_242),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f20979,f10659,f322,f18129])).
% 30.35/5.56 thf(f18129,definition,(
% 30.35/5.56 spl0_307 <=> ((eps4 @ sK4) = $false)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_307])],[avatar_definition])).
% 30.35/5.56 thf(f10659,definition,(
% 30.35/5.56 spl0_242 <=> (sK4 = sK5)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_242])],[avatar_definition])).
% 30.35/5.56 thf(f20979,plain,(
% 30.35/5.56 ((eps4 @ sK4) = $false) | (~spl0_29 | ~spl0_242)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f323,f10660])).
% 30.35/5.56 thf(f10660,plain,(
% 30.35/5.56 (sK4 = sK5) | ~spl0_242),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f10659])).
% 30.35/5.56 thf(f21002,plain,(
% 30.35/5.56 ~spl0_307 | spl0_51 | ~spl0_212 | ~spl0_242),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f21001,f10659,f5250,f499,f18129])).
% 30.35/5.56 thf(f499,definition,(
% 30.35/5.56 spl0_51 <=> ((eps4 @ sK7) = $false)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_51])],[avatar_definition])).
% 30.35/5.56 thf(f5250,definition,(
% 30.35/5.56 spl0_212 <=> (sK4 = sK7)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_212])],[avatar_definition])).
% 30.35/5.56 thf(f21001,plain,(
% 30.35/5.56 ((eps4 @ sK4) != $false) | (spl0_51 | ~spl0_212 | ~spl0_242)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f21000,f10660])).
% 30.35/5.56 thf(f21000,plain,(
% 30.35/5.56 (sK4 != sK5) | ((eps4 @ sK4) != $false) | (spl0_51 | ~spl0_212 | ~spl0_242)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f20348,f5251])).
% 30.35/5.56 thf(f5251,plain,(
% 30.35/5.56 (sK4 = sK7) | ~spl0_212),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f5250])).
% 30.35/5.56 thf(f20348,plain,(
% 30.35/5.56 ((eps4 @ sK4) != $false) | (sK5 != sK7) | (spl0_51 | ~spl0_242)),
% 30.35/5.56 inference(constrained_superposition,[status(thm)],[f500,f10660])).
% 30.35/5.56 thf(f500,plain,(
% 30.35/5.56 ((eps4 @ sK7) != $false) | spl0_51),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f499])).
% 30.35/5.56 thf(f20987,plain,(
% 30.35/5.56 ~spl0_308 | spl0_64 | ~spl0_178),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f20950,f2980,f605,f18188])).
% 30.35/5.56 thf(f605,definition,(
% 30.35/5.56 spl0_64 <=> ((eps5 @ sK9) = $false)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_64])],[avatar_definition])).
% 30.35/5.56 thf(f2980,definition,(
% 30.35/5.56 spl0_178 <=> (sK9 = sK4)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_178])],[avatar_definition])).
% 30.35/5.56 thf(f20950,plain,(
% 30.35/5.56 ((eps5 @ sK4) != $false) | (spl0_64 | ~spl0_178)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f606,f2981])).
% 30.35/5.56 thf(f2981,plain,(
% 30.35/5.56 (sK9 = sK4) | ~spl0_178),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f2980])).
% 30.35/5.56 thf(f606,plain,(
% 30.35/5.56 ((eps5 @ sK9) != $false) | spl0_64),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f605])).
% 30.35/5.56 thf(f20964,plain,(
% 30.35/5.56 ~spl0_308 | spl0_35 | ~spl0_242),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f20963,f10659,f348,f18188])).
% 30.35/5.56 thf(f20963,plain,(
% 30.35/5.56 ((eps5 @ sK4) != $false) | (spl0_35 | ~spl0_242)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f349,f10660])).
% 30.35/5.56 thf(f349,plain,(
% 30.35/5.56 ((eps5 @ sK5) != $false) | spl0_35),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f348])).
% 30.35/5.56 thf(f20932,plain,(
% 30.35/5.56 ~spl0_20 | ~spl0_178 | ~spl0_308),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f20931,f18188,f2980,f218])).
% 30.35/5.56 thf(f218,definition,(
% 30.35/5.56 spl0_20 <=> ((eps2 @ sK4) = $false)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_20])],[avatar_definition])).
% 30.35/5.56 thf(f20931,plain,(
% 30.35/5.56 ((eps2 @ sK4) != $false) | (~spl0_178 | ~spl0_308)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f20640,f18189])).
% 30.35/5.56 thf(f18189,plain,(
% 30.35/5.56 ((eps5 @ sK4) = $false) | ~spl0_308),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f18188])).
% 30.35/5.56 thf(f20640,plain,(
% 30.35/5.56 ((eps5 @ sK4) != (eps2 @ sK4)) | ~spl0_178),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f84,f2981])).
% 30.35/5.56 thf(f84,plain,(
% 30.35/5.56 ((eps5 @ sK9) != (eps2 @ sK9))),
% 30.35/5.56 inference(negative_extensionality,[status(thm)],[f47])).
% 30.35/5.56 thf(f47,plain,(
% 30.35/5.56 (eps2 != eps5)),
% 30.35/5.56 inference(cnf_transformation,[status(thm)],[f20])).
% 30.35/5.56 thf(f20,plain,(
% 30.35/5.56 (eps2 != eps5)),
% 30.35/5.56 inference(fool_elimination,[status(thm)],[f12])).
% 30.35/5.56 thf(f12,axiom,(
% 30.35/5.56 (eps2 != eps5)),
% 30.35/5.56 file('/export/starexec/sandbox2/tmp/tmp.2wiz2zWszC/DTF2THF_5231.p',choiceax25)).
% 30.35/5.56 thf(f20930,plain,(
% 30.35/5.56 spl0_83 | spl0_169 | ~spl0_80),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f20929,f725,f2743,f739])).
% 30.35/5.56 thf(f725,definition,(
% 30.35/5.56 spl0_80 <=> ((eps1 @ sK11) = $true)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_80])],[avatar_definition])).
% 30.35/5.56 thf(f20929,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (($false = (sK11 @ X1)) | ($true = (sK11 @ $true))) ) | ~spl0_80),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f18409,f726])).
% 30.35/5.56 thf(f726,plain,(
% 30.35/5.56 ((eps1 @ sK11) = $true) | ~spl0_80),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f725])).
% 30.35/5.56 thf(f20926,plain,(
% 30.35/5.56 spl0_169 | ~spl0_80 | ~spl0_82),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f20925,f735,f725,f2743])).
% 30.35/5.56 thf(f20925,plain,(
% 30.35/5.56 ($true = (sK11 @ $true)) | (~spl0_80 | ~spl0_82)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f737,f726])).
% 30.35/5.56 thf(f737,plain,(
% 30.35/5.56 ($true = (sK11 @ (eps1 @ sK11))) | ~spl0_82),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f735])).
% 30.35/5.56 thf(f20920,plain,(
% 30.35/5.56 spl0_20 | ~spl0_65 | ~spl0_178),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f20919,f2980,f610,f218])).
% 30.35/5.56 thf(f610,definition,(
% 30.35/5.56 spl0_65 <=> ($false = (eps2 @ sK9))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_65])],[avatar_definition])).
% 30.35/5.56 thf(f20919,plain,(
% 30.35/5.56 ((eps2 @ sK4) = $false) | (~spl0_65 | ~spl0_178)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f612,f2981])).
% 30.35/5.56 thf(f612,plain,(
% 30.35/5.56 ($false = (eps2 @ sK9)) | ~spl0_65),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f610])).
% 30.35/5.56 thf(f20909,plain,(
% 30.35/5.56 ~spl0_133 | ~spl0_23 | spl0_144),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f20908,f1971,f257,f1758])).
% 30.35/5.56 thf(f1758,definition,(
% 30.35/5.56 spl0_133 <=> ($true = (eps1 @ sK2))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_133])],[avatar_definition])).
% 30.35/5.56 thf(f1971,definition,(
% 30.35/5.56 spl0_144 <=> ($true = (eps1 @ sK3))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_144])],[avatar_definition])).
% 30.35/5.56 thf(f20908,plain,(
% 30.35/5.56 ($true != (eps1 @ sK2)) | (~spl0_23 | spl0_144)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f1972,f258])).
% 30.35/5.56 thf(f1972,plain,(
% 30.35/5.56 ($true != (eps1 @ sK3)) | spl0_144),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f1971])).
% 30.35/5.56 thf(f20891,plain,(
% 30.35/5.56 spl0_131 | ~spl0_23 | ~spl0_145),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f20890,f1977,f257,f1735])).
% 30.35/5.56 thf(f1735,definition,(
% 30.35/5.56 spl0_131 <=> ((eps1 @ sK2) = $false)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_131])],[avatar_definition])).
% 30.35/5.56 thf(f1977,definition,(
% 30.35/5.56 spl0_145 <=> ($false = (eps1 @ sK3))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_145])],[avatar_definition])).
% 30.35/5.56 thf(f20890,plain,(
% 30.35/5.56 ((eps1 @ sK2) = $false) | (~spl0_23 | ~spl0_145)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f1978,f258])).
% 30.35/5.56 thf(f1978,plain,(
% 30.35/5.56 ($false = (eps1 @ sK3)) | ~spl0_145),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f1977])).
% 30.35/5.56 thf(f20880,plain,(
% 30.35/5.56 spl0_131 | ~spl0_56 | ~spl0_61),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f20877,f570,f547,f1735])).
% 30.35/5.56 thf(f20877,plain,(
% 30.35/5.56 ((eps1 @ sK2) = $false) | (~spl0_56 | ~spl0_61)),
% 30.35/5.56 inference(backward_demodulation,[status(thm)],[f549,f571])).
% 30.35/5.56 thf(f571,plain,(
% 30.35/5.56 (sK8 = sK2) | ~spl0_61),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f570])).
% 30.35/5.56 thf(f20865,plain,(
% 30.35/5.56 ~spl0_15 | spl0_63 | ~spl0_178),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f20864,f2980,f601,f196])).
% 30.35/5.56 thf(f601,definition,(
% 30.35/5.56 spl0_63 <=> ($true = (eps2 @ sK9))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_63])],[avatar_definition])).
% 30.35/5.56 thf(f20864,plain,(
% 30.35/5.56 ($true != (eps2 @ sK4)) | (spl0_63 | ~spl0_178)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f603,f2981])).
% 30.35/5.56 thf(f603,plain,(
% 30.35/5.56 ($true != (eps2 @ sK9)) | spl0_63),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f601])).
% 30.35/5.56 thf(f20861,plain,(
% 30.35/5.56 ~spl0_309 | ~spl0_178 | spl0_179),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f20860,f2991,f2980,f18192])).
% 30.35/5.56 thf(f2991,definition,(
% 30.35/5.56 spl0_179 <=> (sK11 = sK9)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_179])],[avatar_definition])).
% 30.35/5.56 thf(f20860,plain,(
% 30.35/5.56 (sK11 != sK4) | (~spl0_178 | spl0_179)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f2993,f2981])).
% 30.35/5.56 thf(f2993,plain,(
% 30.35/5.56 (sK11 != sK9) | spl0_179),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f2991])).
% 30.35/5.56 thf(f20844,plain,(
% 30.35/5.56 ~spl0_211 | spl0_44 | ~spl0_209),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f20843,f5233,f446,f5246])).
% 30.35/5.56 thf(f5246,definition,(
% 30.35/5.56 spl0_211 <=> ($true = (eps3 @ sK4))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_211])],[avatar_definition])).
% 30.35/5.56 thf(f446,definition,(
% 30.35/5.56 spl0_44 <=> ($true = (eps3 @ sK6))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_44])],[avatar_definition])).
% 30.35/5.56 thf(f5233,definition,(
% 30.35/5.56 spl0_209 <=> (sK4 = sK6)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_209])],[avatar_definition])).
% 30.35/5.56 thf(f20843,plain,(
% 30.35/5.56 ($true != (eps3 @ sK4)) | (spl0_44 | ~spl0_209)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f447,f5234])).
% 30.35/5.56 thf(f5234,plain,(
% 30.35/5.56 (sK4 = sK6) | ~spl0_209),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f5233])).
% 30.35/5.56 thf(f447,plain,(
% 30.35/5.56 ($true != (eps3 @ sK6)) | spl0_44),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f446])).
% 30.35/5.56 thf(f20831,plain,(
% 30.35/5.56 ~spl0_21 | spl0_39 | ~spl0_209),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f20830,f5233,f423,f222])).
% 30.35/5.56 thf(f423,definition,(
% 30.35/5.56 spl0_39 <=> ($false = (eps1 @ sK6))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_39])],[avatar_definition])).
% 30.35/5.56 thf(f20830,plain,(
% 30.35/5.56 ((eps1 @ sK4) != $false) | (spl0_39 | ~spl0_209)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f424,f5234])).
% 30.35/5.56 thf(f424,plain,(
% 30.35/5.56 ($false != (eps1 @ sK6)) | spl0_39),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f423])).
% 30.35/5.56 thf(f20820,plain,(
% 30.35/5.56 ~spl0_61 | spl0_131 | ~spl0_23 | ~spl0_56),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f20819,f547,f257,f1735,f570])).
% 30.35/5.56 thf(f20819,plain,(
% 30.35/5.56 ((eps1 @ sK2) = $false) | (sK8 != sK2) | (~spl0_23 | ~spl0_56)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f20373,f258])).
% 30.35/5.56 thf(f20373,plain,(
% 30.35/5.56 ((eps1 @ sK2) = $false) | (sK8 != sK3) | (~spl0_23 | ~spl0_56)),
% 30.35/5.56 inference(constrained_superposition,[status(thm)],[f549,f258])).
% 30.35/5.56 thf(f20812,plain,(
% 30.35/5.56 spl0_48 | spl0_233 | ~spl0_53),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f20461,f508,f7396,f486])).
% 30.35/5.56 thf(f486,definition,(
% 30.35/5.56 spl0_48 <=> ! [X1 : $o] : ((sK7 @ X1) = $false)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_48])],[avatar_definition])).
% 30.35/5.56 thf(f20461,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (($true = (sK7 @ $false)) | ((sK7 @ X1) = $false)) ) | ~spl0_53),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f20454,f509])).
% 30.35/5.56 thf(f20454,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (((sK7 @ X1) = $false) | ((sK7 @ (eps3 @ sK7)) = $true)) )),
% 30.35/5.56 introduced(definition,[],[choice_axiom])).
% 30.35/5.56 thf(f20810,plain,(
% 30.35/5.56 spl0_233 | ~spl0_49 | ~spl0_53),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f20102,f508,f490,f7396])).
% 30.35/5.56 thf(f490,definition,(
% 30.35/5.56 spl0_49 <=> ((sK7 @ (eps3 @ sK7)) = $true)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_49])],[avatar_definition])).
% 30.35/5.56 thf(f20102,plain,(
% 30.35/5.56 ($true = (sK7 @ $false)) | (~spl0_49 | ~spl0_53)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f492,f509])).
% 30.35/5.56 thf(f492,plain,(
% 30.35/5.56 ((sK7 @ (eps3 @ sK7)) = $true) | ~spl0_49),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f490])).
% 30.35/5.56 thf(f20803,plain,(
% 30.35/5.56 ~spl0_213 | spl0_353 | ~spl0_354),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f20802])).
% 30.35/5.56 thf(f20802,plain,(
% 30.35/5.56 $false | (~spl0_213 | spl0_353 | ~spl0_354)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f20801,f5516])).
% 30.35/5.56 thf(f20801,plain,(
% 30.35/5.56 ($true != (sK4 @ $false)) | (spl0_353 | ~spl0_354)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f20755,f20758])).
% 30.35/5.56 thf(f20758,plain,(
% 30.35/5.56 (sK171 = $false) | ~spl0_354),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f20757])).
% 30.35/5.56 thf(f20757,definition,(
% 30.35/5.56 spl0_354 <=> (sK171 = $false)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_354])],[avatar_definition])).
% 30.35/5.56 thf(f20755,plain,(
% 30.35/5.56 ($true != (sK4 @ sK171)) | spl0_353),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f20753])).
% 30.35/5.56 thf(f20753,definition,(
% 30.35/5.56 spl0_353 <=> ($true = (sK4 @ sK171))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_353])],[avatar_definition])).
% 30.35/5.56 thf(f20773,plain,(
% 30.35/5.56 spl0_354 | ~spl0_94 | ~spl0_120 | spl0_212),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f20772,f5250,f1517,f1037,f20757])).
% 30.35/5.56 thf(f20772,plain,(
% 30.35/5.56 (sK171 = $false) | (~spl0_94 | ~spl0_120 | spl0_212)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f20771,f1519])).
% 30.35/5.56 thf(f20771,plain,(
% 30.35/5.56 ($true != (sK7 @ $true)) | (sK171 = $false) | (~spl0_94 | spl0_212)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f20748,f1039])).
% 30.35/5.56 thf(f20748,plain,(
% 30.35/5.56 (sK171 = $false) | ((sK7 @ $true) != (sK4 @ $true)) | spl0_212),
% 30.35/5.56 inference(fool_paramodulation,[status(thm)],[f20274])).
% 30.35/5.56 thf(f20274,plain,(
% 30.35/5.56 ((sK4 @ sK171) != (sK7 @ sK171)) | spl0_212),
% 30.35/5.56 inference(negative_extensionality,[status(thm)],[f5252])).
% 30.35/5.56 thf(f5252,plain,(
% 30.35/5.56 (sK4 != sK7) | spl0_212),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f5250])).
% 30.35/5.56 thf(f20760,plain,(
% 30.35/5.56 ~spl0_353 | ~spl0_354 | spl0_212 | ~spl0_233),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f20750,f7396,f5250,f20757,f20753])).
% 30.35/5.56 thf(f20750,plain,(
% 30.35/5.56 ($true != (sK4 @ sK171)) | (sK171 != $false) | (spl0_212 | ~spl0_233)),
% 30.35/5.56 inference(constrained_superposition,[status(thm)],[f20274,f7398])).
% 30.35/5.56 thf(f20615,plain,(
% 30.35/5.56 ~spl0_90 | ~spl0_91 | ~spl0_94 | spl0_178 | ~spl0_213),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f20614])).
% 30.35/5.56 thf(f20614,plain,(
% 30.35/5.56 $false | (~spl0_90 | ~spl0_91 | ~spl0_94 | spl0_178 | ~spl0_213)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f20613,f5516])).
% 30.35/5.56 thf(f20613,plain,(
% 30.35/5.56 ($true != (sK4 @ $false)) | (~spl0_90 | ~spl0_91 | ~spl0_94 | spl0_178)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f20612,f20599])).
% 30.35/5.56 thf(f20599,plain,(
% 30.35/5.56 (sK170 = $false) | (~spl0_90 | ~spl0_94 | spl0_178)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f20598,f989])).
% 30.35/5.56 thf(f989,plain,(
% 30.35/5.56 ($true = (sK9 @ $true)) | ~spl0_90),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f987])).
% 30.35/5.56 thf(f987,definition,(
% 30.35/5.56 spl0_90 <=> ($true = (sK9 @ $true))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_90])],[avatar_definition])).
% 30.35/5.56 thf(f20598,plain,(
% 30.35/5.56 ($true != (sK9 @ $true)) | (sK170 = $false) | (~spl0_94 | spl0_178)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f20594,f1039])).
% 30.35/5.56 thf(f20594,plain,(
% 30.35/5.56 (sK170 = $false) | ((sK9 @ $true) != (sK4 @ $true)) | spl0_178),
% 30.35/5.56 inference(fool_paramodulation,[status(thm)],[f20195])).
% 30.35/5.56 thf(f20195,plain,(
% 30.35/5.56 ((sK4 @ sK170) != (sK9 @ sK170)) | spl0_178),
% 30.35/5.56 inference(negative_extensionality,[status(thm)],[f2982])).
% 30.35/5.56 thf(f2982,plain,(
% 30.35/5.56 (sK9 != sK4) | spl0_178),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f2980])).
% 30.35/5.56 thf(f20612,plain,(
% 30.35/5.56 ((sK4 @ sK170) != $true) | (~spl0_90 | ~spl0_91 | ~spl0_94 | spl0_178)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f20596,f20599])).
% 30.35/5.56 thf(f20596,plain,(
% 30.35/5.56 ((sK4 @ sK170) != $true) | (sK170 != $false) | (~spl0_91 | spl0_178)),
% 30.35/5.56 inference(constrained_superposition,[status(thm)],[f20195,f995])).
% 30.35/5.56 thf(f995,plain,(
% 30.35/5.56 ($true = (sK9 @ $false)) | ~spl0_91),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f993])).
% 30.35/5.56 thf(f993,definition,(
% 30.35/5.56 spl0_91 <=> ($true = (sK9 @ $false))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_91])],[avatar_definition])).
% 30.35/5.56 thf(f20139,plain,(
% 30.35/5.56 spl0_308 | ~spl0_35 | ~spl0_242),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f20048,f10659,f348,f18188])).
% 30.35/5.56 thf(f20048,plain,(
% 30.35/5.56 ((eps5 @ sK4) = $false) | (~spl0_35 | ~spl0_242)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f350,f10660])).
% 30.35/5.56 thf(f20122,plain,(
% 30.35/5.56 spl0_26 | ~spl0_9 | ~spl0_23),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f20121,f257,f146,f273])).
% 30.35/5.56 thf(f273,definition,(
% 30.35/5.56 spl0_26 <=> ($true = (eps3 @ sK2))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_26])],[avatar_definition])).
% 30.35/5.56 thf(f146,definition,(
% 30.35/5.56 spl0_9 <=> ($true = (eps3 @ sK3))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_9])],[avatar_definition])).
% 30.35/5.56 thf(f20121,plain,(
% 30.35/5.56 ($true = (eps3 @ sK2)) | (~spl0_9 | ~spl0_23)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f148,f258])).
% 30.35/5.56 thf(f148,plain,(
% 30.35/5.56 ($true = (eps3 @ sK3)) | ~spl0_9),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f146])).
% 30.35/5.56 thf(f20120,plain,(
% 30.35/5.56 spl0_48 | spl0_47),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f3817,f482,f486])).
% 30.35/5.56 thf(f482,definition,(
% 30.35/5.56 spl0_47 <=> ($true = (sK7 @ (eps4 @ sK7)))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_47])],[avatar_definition])).
% 30.35/5.56 thf(f3817,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (((sK7 @ X1) = $false) | ($true = (sK7 @ (eps4 @ sK7)))) )),
% 30.35/5.56 introduced(definition,[],[choice_axiom])).
% 30.35/5.56 thf(f20113,plain,(
% 30.35/5.56 ~spl0_75 | ~spl0_347),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f20112])).
% 30.35/5.56 thf(f20112,plain,(
% 30.35/5.56 $false | (~spl0_75 | ~spl0_347)),
% 30.35/5.56 inference(trivial_inequality_removal,[status(thm)],[f20111])).
% 30.35/5.56 thf(f20111,plain,(
% 30.35/5.56 ($true = $false) | (~spl0_75 | ~spl0_347)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f19893,f683])).
% 30.35/5.56 thf(f683,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (((sK10 @ X1) = $false)) ) | ~spl0_75),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f682])).
% 30.35/5.56 thf(f682,definition,(
% 30.35/5.56 spl0_75 <=> ! [X1 : $o] : ((sK10 @ X1) = $false)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_75])],[avatar_definition])).
% 30.35/5.56 thf(f19893,plain,(
% 30.35/5.56 ($true = (sK10 @ sK167)) | ~spl0_347),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f19891])).
% 30.35/5.56 thf(f19891,definition,(
% 30.35/5.56 spl0_347 <=> ($true = (sK10 @ sK167))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_347])],[avatar_definition])).
% 30.35/5.56 thf(f20099,plain,(
% 30.35/5.56 ~spl0_24 | ~spl0_23 | ~spl0_25),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f20098,f267,f257,f261])).
% 30.35/5.56 thf(f20098,plain,(
% 30.35/5.56 ((eps3 @ sK2) != $false) | (~spl0_23 | ~spl0_25)),
% 30.35/5.56 inference(backward_demodulation,[status(thm)],[f20065,f269])).
% 30.35/5.56 thf(f269,plain,(
% 30.35/5.56 ((eps5 @ sK2) = $false) | ~spl0_25),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f267])).
% 30.35/5.56 thf(f20065,plain,(
% 30.35/5.56 ((eps5 @ sK2) != (eps3 @ sK2)) | ~spl0_23),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f78,f258])).
% 30.35/5.56 thf(f78,plain,(
% 30.35/5.56 ((eps3 @ sK3) != (eps5 @ sK3))),
% 30.35/5.56 inference(negative_extensionality,[status(thm)],[f41])).
% 30.35/5.56 thf(f41,plain,(
% 30.35/5.56 (eps3 != eps5)),
% 30.35/5.56 inference(cnf_transformation,[status(thm)],[f36])).
% 30.35/5.56 thf(f36,plain,(
% 30.35/5.56 (eps3 != eps5)),
% 30.35/5.56 inference(fool_elimination,[status(thm)],[f14])).
% 30.35/5.56 thf(f14,axiom,(
% 30.35/5.56 (eps3 != eps5)),
% 30.35/5.56 file('/export/starexec/sandbox2/tmp/tmp.2wiz2zWszC/DTF2THF_5231.p',choiceax35)).
% 30.35/5.56 thf(f20097,plain,(
% 30.35/5.56 spl0_68 | spl0_90 | ~spl0_67),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f20096,f620,f987,f625])).
% 30.35/5.56 thf(f625,definition,(
% 30.35/5.56 spl0_68 <=> ! [X1 : $o] : ((sK9 @ X1) = $false)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_68])],[avatar_definition])).
% 30.35/5.56 thf(f620,definition,(
% 30.35/5.56 spl0_67 <=> ($true = (eps5 @ sK9))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_67])],[avatar_definition])).
% 30.35/5.56 thf(f20096,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (($true = (sK9 @ $true)) | ((sK9 @ X1) = $false)) ) | ~spl0_67),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f9599,f622])).
% 30.35/5.56 thf(f622,plain,(
% 30.35/5.56 ($true = (eps5 @ sK9)) | ~spl0_67),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f620])).
% 30.35/5.56 thf(f9599,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (($true = (sK9 @ (eps5 @ sK9))) | ((sK9 @ X1) = $false)) )),
% 30.35/5.56 introduced(definition,[],[choice_axiom])).
% 30.35/5.56 thf(f20088,plain,(
% 30.35/5.56 ~spl0_129 | ~spl0_132 | spl0_179),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f20087,f2991,f1742,f1725])).
% 30.35/5.56 thf(f1725,definition,(
% 30.35/5.56 spl0_129 <=> (sK9 = sK2)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_129])],[avatar_definition])).
% 30.35/5.56 thf(f1742,definition,(
% 30.35/5.56 spl0_132 <=> (sK11 = sK2)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_132])],[avatar_definition])).
% 30.35/5.56 thf(f20087,plain,(
% 30.35/5.56 (sK9 != sK2) | (~spl0_132 | spl0_179)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f2993,f1743])).
% 30.35/5.56 thf(f1743,plain,(
% 30.35/5.56 (sK11 = sK2) | ~spl0_132),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f1742])).
% 30.35/5.56 thf(f20085,plain,(
% 30.35/5.56 spl0_26 | ~spl0_72 | ~spl0_183),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f20084,f3485,f668,f273])).
% 30.35/5.56 thf(f3485,definition,(
% 30.35/5.56 spl0_183 <=> (sK10 = sK2)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_183])],[avatar_definition])).
% 30.35/5.56 thf(f20084,plain,(
% 30.35/5.56 ($true = (eps3 @ sK2)) | (~spl0_72 | ~spl0_183)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f670,f3486])).
% 30.35/5.56 thf(f3486,plain,(
% 30.35/5.56 (sK10 = sK2) | ~spl0_183),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f3485])).
% 30.35/5.56 thf(f20077,plain,(
% 30.35/5.56 ~spl0_24 | ~spl0_4 | ~spl0_183),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f20076,f3485,f106,f261])).
% 30.35/5.56 thf(f20076,plain,(
% 30.35/5.56 ((eps3 @ sK2) != $false) | (~spl0_4 | ~spl0_183)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f20075,f108])).
% 30.35/5.56 thf(f108,plain,(
% 30.35/5.56 ((eps2 @ sK2) = $false) | ~spl0_4),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f106])).
% 30.35/5.56 thf(f20075,plain,(
% 30.35/5.56 ((eps2 @ sK2) != (eps3 @ sK2)) | ~spl0_183),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f85,f3486])).
% 30.35/5.56 thf(f20073,plain,(
% 30.35/5.56 ~spl0_24 | spl0_14 | ~spl0_23),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f20072,f257,f169,f261])).
% 30.35/5.56 thf(f20072,plain,(
% 30.35/5.56 ((eps3 @ sK2) != $false) | (spl0_14 | ~spl0_23)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f170,f258])).
% 30.35/5.56 thf(f170,plain,(
% 30.35/5.56 ((eps3 @ sK3) != $false) | spl0_14),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f169])).
% 30.35/5.56 thf(f20070,plain,(
% 30.35/5.56 spl0_133 | ~spl0_80 | ~spl0_132),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f20069,f1742,f725,f1758])).
% 30.35/5.56 thf(f20069,plain,(
% 30.35/5.56 ($true = (eps1 @ sK2)) | (~spl0_80 | ~spl0_132)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f726,f1743])).
% 30.35/5.56 thf(f20062,plain,(
% 30.35/5.56 ~spl0_131 | ~spl0_23 | spl0_145),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f20061,f1977,f257,f1735])).
% 30.35/5.56 thf(f20061,plain,(
% 30.35/5.56 ((eps1 @ sK2) != $false) | (~spl0_23 | spl0_145)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f1979,f258])).
% 30.35/5.56 thf(f1979,plain,(
% 30.35/5.56 ($false != (eps1 @ sK3)) | spl0_145),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f1977])).
% 30.35/5.56 thf(f20042,plain,(
% 30.35/5.56 ~spl0_72 | spl0_211 | ~spl0_243),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f20041])).
% 30.35/5.56 thf(f20041,plain,(
% 30.35/5.56 $false | (~spl0_72 | spl0_211 | ~spl0_243)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f20040,f5247])).
% 30.35/5.56 thf(f5247,plain,(
% 30.35/5.56 ($true != (eps3 @ sK4)) | spl0_211),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f5246])).
% 30.35/5.56 thf(f20040,plain,(
% 30.35/5.56 ($true = (eps3 @ sK4)) | (~spl0_72 | ~spl0_243)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f670,f10796])).
% 30.35/5.56 thf(f10796,plain,(
% 30.35/5.56 (sK4 = sK10) | ~spl0_243),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f10795])).
% 30.35/5.56 thf(f10795,definition,(
% 30.35/5.56 spl0_243 <=> (sK4 = sK10)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_243])],[avatar_definition])).
% 30.35/5.56 thf(f20023,plain,(
% 30.35/5.56 spl0_32 | ~spl0_242 | ~spl0_305),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f20022])).
% 30.35/5.56 thf(f20022,plain,(
% 30.35/5.56 $false | (spl0_32 | ~spl0_242 | ~spl0_305)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f20021,f18088])).
% 30.35/5.56 thf(f20021,plain,(
% 30.35/5.56 ($true != (eps5 @ sK4)) | (spl0_32 | ~spl0_242)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f336,f10660])).
% 30.35/5.56 thf(f336,plain,(
% 30.35/5.56 ($true != (eps5 @ sK5)) | spl0_32),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f335])).
% 30.35/5.56 thf(f335,definition,(
% 30.35/5.56 spl0_32 <=> ($true = (eps5 @ sK5))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_32])],[avatar_definition])).
% 30.35/5.56 thf(f20006,plain,(
% 30.35/5.56 spl0_211 | ~spl0_44 | ~spl0_209),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f20005,f5233,f446,f5246])).
% 30.35/5.56 thf(f20005,plain,(
% 30.35/5.56 ($true = (eps3 @ sK4)) | (~spl0_44 | ~spl0_209)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f448,f5234])).
% 30.35/5.56 thf(f448,plain,(
% 30.35/5.56 ($true = (eps3 @ sK6)) | ~spl0_44),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f446])).
% 30.35/5.56 thf(f19970,plain,(
% 30.35/5.56 ~spl0_210 | ~spl0_21 | ~spl0_209),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f19969,f5233,f222,f5237])).
% 30.35/5.56 thf(f5237,definition,(
% 30.35/5.56 spl0_210 <=> ($false = (eps3 @ sK4))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_210])],[avatar_definition])).
% 30.35/5.56 thf(f19969,plain,(
% 30.35/5.56 ($false != (eps3 @ sK4)) | (~spl0_21 | ~spl0_209)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f19968,f224])).
% 30.35/5.56 thf(f224,plain,(
% 30.35/5.56 ((eps1 @ sK4) = $false) | ~spl0_21),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f222])).
% 30.35/5.56 thf(f19968,plain,(
% 30.35/5.56 ((eps1 @ sK4) != (eps3 @ sK4)) | ~spl0_209),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f81,f5234])).
% 30.35/5.56 thf(f81,plain,(
% 30.35/5.56 ((eps3 @ sK6) != (eps1 @ sK6))),
% 30.35/5.56 inference(negative_extensionality,[status(thm)],[f44])).
% 30.35/5.56 thf(f44,plain,(
% 30.35/5.56 (eps1 != eps3)),
% 30.35/5.56 inference(cnf_transformation,[status(thm)],[f21])).
% 30.35/5.56 thf(f21,plain,(
% 30.35/5.56 (eps1 != eps3)),
% 30.35/5.56 inference(fool_elimination,[status(thm)],[f7])).
% 30.35/5.56 thf(f7,axiom,(
% 30.35/5.56 (eps1 != eps3)),
% 30.35/5.56 file('/export/starexec/sandbox2/tmp/tmp.2wiz2zWszC/DTF2THF_5231.p',choiceax13)).
% 30.35/5.56 thf(f19965,plain,(
% 30.35/5.56 spl0_20 | ~spl0_76 | ~spl0_243),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f19964])).
% 30.35/5.56 thf(f19964,plain,(
% 30.35/5.56 $false | (spl0_20 | ~spl0_76 | ~spl0_243)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f19963,f219])).
% 30.35/5.56 thf(f219,plain,(
% 30.35/5.56 ((eps2 @ sK4) != $false) | spl0_20),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f218])).
% 30.35/5.56 thf(f19963,plain,(
% 30.35/5.56 ((eps2 @ sK4) = $false) | (~spl0_76 | ~spl0_243)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f688,f10796])).
% 30.35/5.56 thf(f19962,plain,(
% 30.35/5.56 ~spl0_15 | spl0_71 | ~spl0_243),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f19961,f10795,f664,f196])).
% 30.35/5.56 thf(f664,definition,(
% 30.35/5.56 spl0_71 <=> ($true = (eps2 @ sK10))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_71])],[avatar_definition])).
% 30.35/5.56 thf(f19961,plain,(
% 30.35/5.56 ($true != (eps2 @ sK4)) | (spl0_71 | ~spl0_243)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f665,f10796])).
% 30.35/5.56 thf(f665,plain,(
% 30.35/5.56 ($true != (eps2 @ sK10)) | spl0_71),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f664])).
% 30.35/5.56 thf(f19950,plain,(
% 30.35/5.56 ~spl0_210 | spl0_77 | ~spl0_243),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f19949,f10795,f690,f5237])).
% 30.35/5.56 thf(f19949,plain,(
% 30.35/5.56 ($false != (eps3 @ sK4)) | (spl0_77 | ~spl0_243)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f691,f10796])).
% 30.35/5.56 thf(f691,plain,(
% 30.35/5.56 ((eps3 @ sK10) != $false) | spl0_77),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f690])).
% 30.35/5.56 thf(f19942,plain,(
% 30.35/5.56 spl0_74 | spl0_75),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f13907,f682,f678])).
% 30.35/5.56 thf(f13907,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (($true = (sK10 @ (eps3 @ sK10))) | ((sK10 @ X1) = $false)) )),
% 30.35/5.56 introduced(definition,[],[choice_axiom])).
% 30.35/5.56 thf(f19928,plain,(
% 30.35/5.56 ~spl0_208 | ~spl0_213 | spl0_243 | ~spl0_346),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f19927])).
% 30.35/5.56 thf(f19927,plain,(
% 30.35/5.56 $false | (~spl0_208 | ~spl0_213 | spl0_243 | ~spl0_346)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f19926,f5077])).
% 30.35/5.56 thf(f5077,plain,(
% 30.35/5.56 ((sK10 @ $false) = $true) | ~spl0_208),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f5075])).
% 30.35/5.56 thf(f5075,definition,(
% 30.35/5.56 spl0_208 <=> ((sK10 @ $false) = $true)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_208])],[avatar_definition])).
% 30.35/5.56 thf(f19926,plain,(
% 30.35/5.56 ((sK10 @ $false) != $true) | (~spl0_213 | spl0_243 | ~spl0_346)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f19925,f5516])).
% 30.35/5.56 thf(f19925,plain,(
% 30.35/5.56 ((sK10 @ $false) != (sK4 @ $false)) | (spl0_243 | ~spl0_346)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f19454,f19887])).
% 30.35/5.56 thf(f19887,plain,(
% 30.35/5.56 (sK167 = $false) | ~spl0_346),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f19886])).
% 30.35/5.56 thf(f19886,definition,(
% 30.35/5.56 spl0_346 <=> (sK167 = $false)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_346])],[avatar_definition])).
% 30.35/5.56 thf(f19454,plain,(
% 30.35/5.56 ((sK10 @ sK167) != (sK4 @ sK167)) | spl0_243),
% 30.35/5.56 inference(negative_extensionality,[status(thm)],[f10797])).
% 30.35/5.56 thf(f10797,plain,(
% 30.35/5.56 (sK4 != sK10) | spl0_243),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f10795])).
% 30.35/5.56 thf(f19906,plain,(
% 30.35/5.56 spl0_346 | ~spl0_94 | ~spl0_110 | spl0_243),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f19905,f10795,f1340,f1037,f19886])).
% 30.35/5.56 thf(f19905,plain,(
% 30.35/5.56 (sK167 = $false) | (~spl0_94 | ~spl0_110 | spl0_243)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f19904,f1342])).
% 30.35/5.56 thf(f1342,plain,(
% 30.35/5.56 ($true = (sK10 @ $true)) | ~spl0_110),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f1340])).
% 30.35/5.56 thf(f19904,plain,(
% 30.35/5.56 ($true != (sK10 @ $true)) | (sK167 = $false) | (~spl0_94 | spl0_243)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f19876,f1039])).
% 30.35/5.56 thf(f19876,plain,(
% 30.35/5.56 (sK167 = $false) | ((sK10 @ $true) != (sK4 @ $true)) | spl0_243),
% 30.35/5.56 inference(fool_paramodulation,[status(thm)],[f19454])).
% 30.35/5.56 thf(f19894,plain,(
% 30.35/5.56 spl0_345 | spl0_347 | spl0_243),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f19874,f10795,f19891,f19882])).
% 30.35/5.56 thf(f19874,plain,(
% 30.35/5.56 ($true = (sK10 @ sK167)) | ($true = (sK4 @ sK167)) | spl0_243),
% 30.35/5.56 inference(binary_proxy_clausification,[status(thm)],[f19454])).
% 30.35/5.56 thf(f19665,plain,(
% 30.35/5.56 spl0_305 | ~spl0_32 | ~spl0_242),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f19663,f10659,f335,f18086])).
% 30.35/5.56 thf(f19663,plain,(
% 30.35/5.56 ($true = (eps5 @ sK4)) | (~spl0_32 | ~spl0_242)),
% 30.35/5.56 inference(backward_demodulation,[status(thm)],[f337,f10660])).
% 30.35/5.56 thf(f337,plain,(
% 30.35/5.56 ($true = (eps5 @ sK5)) | ~spl0_32),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f335])).
% 30.35/5.56 thf(f19661,plain,(
% 30.35/5.56 ~spl0_213 | spl0_340 | ~spl0_341),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f19660])).
% 30.35/5.56 thf(f19660,plain,(
% 30.35/5.56 $false | (~spl0_213 | spl0_340 | ~spl0_341)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f19659,f5516])).
% 30.35/5.56 thf(f19659,plain,(
% 30.35/5.56 ($true != (sK4 @ $false)) | (spl0_340 | ~spl0_341)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f19624,f19627])).
% 30.35/5.56 thf(f19627,plain,(
% 30.35/5.56 (sK157 = $false) | ~spl0_341),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f19626])).
% 30.35/5.56 thf(f19626,definition,(
% 30.35/5.56 spl0_341 <=> (sK157 = $false)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_341])],[avatar_definition])).
% 30.35/5.56 thf(f19624,plain,(
% 30.35/5.56 ((sK4 @ sK157) != $true) | spl0_340),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f19622])).
% 30.35/5.56 thf(f19622,definition,(
% 30.35/5.56 spl0_340 <=> ((sK4 @ sK157) = $true)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_340])],[avatar_definition])).
% 30.35/5.56 thf(f19637,plain,(
% 30.35/5.56 spl0_341 | ~spl0_94 | ~spl0_121 | spl0_242),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f19636,f10659,f1531,f1037,f19626])).
% 30.35/5.56 thf(f1531,definition,(
% 30.35/5.56 spl0_121 <=> ($true = (sK5 @ $true))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_121])],[avatar_definition])).
% 30.35/5.56 thf(f19636,plain,(
% 30.35/5.56 (sK157 = $false) | (~spl0_94 | ~spl0_121 | spl0_242)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f19635,f1039])).
% 30.35/5.56 thf(f19635,plain,(
% 30.35/5.56 ($true != (sK4 @ $true)) | (sK157 = $false) | (~spl0_121 | spl0_242)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f19607,f1533])).
% 30.35/5.56 thf(f1533,plain,(
% 30.35/5.56 ($true = (sK5 @ $true)) | ~spl0_121),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f1531])).
% 30.35/5.56 thf(f19607,plain,(
% 30.35/5.56 (sK157 = $false) | ((sK4 @ $true) != (sK5 @ $true)) | spl0_242),
% 30.35/5.56 inference(fool_paramodulation,[status(thm)],[f18090])).
% 30.35/5.56 thf(f18090,plain,(
% 30.35/5.56 ((sK4 @ sK157) != (sK5 @ sK157)) | spl0_242),
% 30.35/5.56 inference(negative_extensionality,[status(thm)],[f10661])).
% 30.35/5.56 thf(f10661,plain,(
% 30.35/5.56 (sK4 != sK5) | spl0_242),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f10659])).
% 30.35/5.56 thf(f19629,plain,(
% 30.35/5.56 ~spl0_340 | ~spl0_341 | ~spl0_101 | spl0_242),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f19611,f10659,f1229,f19626,f19622])).
% 30.35/5.56 thf(f1229,definition,(
% 30.35/5.56 spl0_101 <=> ($true = (sK5 @ $false))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_101])],[avatar_definition])).
% 30.35/5.56 thf(f19611,plain,(
% 30.35/5.56 (sK157 != $false) | ((sK4 @ sK157) != $true) | (~spl0_101 | spl0_242)),
% 30.35/5.56 inference(constrained_superposition,[status(thm)],[f18090,f1231])).
% 30.35/5.56 thf(f1231,plain,(
% 30.35/5.56 ($true = (sK5 @ $false)) | ~spl0_101),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f1229])).
% 30.35/5.56 thf(f19392,plain,(
% 30.35/5.56 spl0_75 | spl0_78),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f955,f696,f682])).
% 30.35/5.56 thf(f696,definition,(
% 30.35/5.56 spl0_78 <=> ((sK10 @ (eps2 @ sK10)) = $true)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_78])],[avatar_definition])).
% 30.35/5.56 thf(f955,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (((sK10 @ X1) = $false) | ((sK10 @ (eps2 @ sK10)) = $true)) )),
% 30.35/5.56 introduced(definition,[],[choice_axiom])).
% 30.35/5.56 thf(f19388,plain,(
% 30.35/5.56 spl0_16 | ~spl0_42 | ~spl0_209),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f19387,f5233,f436,f200])).
% 30.35/5.56 thf(f200,definition,(
% 30.35/5.56 spl0_16 <=> ($true = (eps1 @ sK4))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_16])],[avatar_definition])).
% 30.35/5.56 thf(f436,definition,(
% 30.35/5.56 spl0_42 <=> ($true = (eps1 @ sK6))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_42])],[avatar_definition])).
% 30.35/5.56 thf(f19387,plain,(
% 30.35/5.56 ($true = (eps1 @ sK4)) | (~spl0_42 | ~spl0_209)),
% 30.35/5.56 inference(backward_demodulation,[status(thm)],[f437,f5234])).
% 30.35/5.56 thf(f437,plain,(
% 30.35/5.56 ($true = (eps1 @ sK6)) | ~spl0_42),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f436])).
% 30.35/5.56 thf(f19373,plain,(
% 30.35/5.56 ~spl0_213 | spl0_330 | ~spl0_334),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f19372])).
% 30.35/5.56 thf(f19372,plain,(
% 30.35/5.56 $false | (~spl0_213 | spl0_330 | ~spl0_334)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f19371,f5516])).
% 30.35/5.56 thf(f19371,plain,(
% 30.35/5.56 ($true != (sK4 @ $false)) | (spl0_330 | ~spl0_334)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f19326,f19344])).
% 30.35/5.56 thf(f19344,plain,(
% 30.35/5.56 ($false = sK166) | ~spl0_334),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f19343])).
% 30.35/5.56 thf(f19343,definition,(
% 30.35/5.56 spl0_334 <=> ($false = sK166)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_334])],[avatar_definition])).
% 30.35/5.56 thf(f19326,plain,(
% 30.35/5.56 ($true != (sK4 @ sK166)) | spl0_330),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f19324])).
% 30.35/5.56 thf(f19324,definition,(
% 30.35/5.56 spl0_330 <=> ($true = (sK4 @ sK166))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_330])],[avatar_definition])).
% 30.35/5.56 thf(f19354,plain,(
% 30.35/5.56 spl0_334 | ~spl0_93 | ~spl0_94 | spl0_209),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f19353,f5233,f1037,f1017,f19343])).
% 30.35/5.56 thf(f19353,plain,(
% 30.35/5.56 ($false = sK166) | (~spl0_93 | ~spl0_94 | spl0_209)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f19352,f1019])).
% 30.35/5.56 thf(f19352,plain,(
% 30.35/5.56 ($true != (sK6 @ $true)) | ($false = sK166) | (~spl0_94 | spl0_209)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f19317,f1039])).
% 30.35/5.56 thf(f19317,plain,(
% 30.35/5.56 ((sK6 @ $true) != (sK4 @ $true)) | ($false = sK166) | spl0_209),
% 30.35/5.56 inference(fool_paramodulation,[status(thm)],[f19121])).
% 30.35/5.56 thf(f19121,plain,(
% 30.35/5.56 ((sK6 @ sK166) != (sK4 @ sK166)) | spl0_209),
% 30.35/5.56 inference(negative_extensionality,[status(thm)],[f5235])).
% 30.35/5.56 thf(f5235,plain,(
% 30.35/5.56 (sK4 != sK6) | spl0_209),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f5233])).
% 30.35/5.56 thf(f19346,plain,(
% 30.35/5.56 ~spl0_330 | ~spl0_334 | ~spl0_92 | spl0_209),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f19322,f5233,f1009,f19343,f19324])).
% 30.35/5.56 thf(f19322,plain,(
% 30.35/5.56 ($true != (sK4 @ sK166)) | ($false != sK166) | (~spl0_92 | spl0_209)),
% 30.35/5.56 inference(constrained_superposition,[status(thm)],[f19121,f1011])).
% 30.35/5.56 thf(f18977,plain,(
% 30.35/5.56 spl0_93 | spl0_41 | ~spl0_42),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f18976,f436,f432,f1017])).
% 30.35/5.56 thf(f432,definition,(
% 30.35/5.56 spl0_41 <=> ! [X1 : $o] : ((sK6 @ X1) = $false)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_41])],[avatar_definition])).
% 30.35/5.56 thf(f18976,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (((sK6 @ X1) = $false) | ($true = (sK6 @ $true))) ) | ~spl0_42),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f17171,f437])).
% 30.35/5.56 thf(f17171,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (($true = (sK6 @ (eps1 @ sK6))) | ((sK6 @ X1) = $false)) )),
% 30.35/5.56 introduced(definition,[],[choice_axiom])).
% 30.35/5.56 thf(f18972,plain,(
% 30.35/5.56 spl0_169 | spl0_83 | ~spl0_81),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f18796,f730,f739,f2743])).
% 30.35/5.56 thf(f730,definition,(
% 30.35/5.56 spl0_81 <=> ((eps5 @ sK11) = $true)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_81])],[avatar_definition])).
% 30.35/5.56 thf(f18796,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (($false = (sK11 @ X1)) | ($true = (sK11 @ $true))) ) | ~spl0_81),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f18355,f732])).
% 30.35/5.56 thf(f732,plain,(
% 30.35/5.56 ((eps5 @ sK11) = $true) | ~spl0_81),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f730])).
% 30.35/5.56 thf(f18355,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (($false = (sK11 @ X1)) | ($true = (sK11 @ (eps5 @ sK11)))) )),
% 30.35/5.56 introduced(definition,[],[choice_axiom])).
% 30.35/5.56 thf(f18971,plain,(
% 30.35/5.56 spl0_111 | spl0_83 | ~spl0_84),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f18970,f743,f739,f1407])).
% 30.35/5.56 thf(f18970,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (($false = (sK11 @ X1)) | ((sK11 @ $false) = $true)) ) | ~spl0_84),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f18392,f745])).
% 30.35/5.56 thf(f18392,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (($false = (sK11 @ X1)) | ($true = (sK11 @ (eps1 @ sK11)))) )),
% 30.35/5.56 introduced(definition,[],[choice_axiom])).
% 30.35/5.56 thf(f18969,plain,(
% 30.35/5.56 spl0_41 | spl0_40),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f14521,f428,f432])).
% 30.35/5.56 thf(f428,definition,(
% 30.35/5.56 spl0_40 <=> ($true = (sK6 @ (eps3 @ sK6)))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_40])],[avatar_definition])).
% 30.35/5.56 thf(f14521,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (($true = (sK6 @ (eps3 @ sK6))) | ((sK6 @ X1) = $false)) )),
% 30.35/5.56 introduced(definition,[],[choice_axiom])).
% 30.35/5.56 thf(f18968,plain,(
% 30.35/5.56 ~spl0_44 | ~spl0_42),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f18967,f436,f446])).
% 30.35/5.56 thf(f18967,plain,(
% 30.35/5.56 ($true != (eps3 @ sK6)) | ~spl0_42),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f81,f437])).
% 30.35/5.56 thf(f18964,plain,(
% 30.35/5.56 spl0_62 | spl0_59),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f18608,f562,f575])).
% 30.35/5.56 thf(f575,definition,(
% 30.35/5.56 spl0_62 <=> ($true = (sK8 @ (eps1 @ sK8)))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_62])],[avatar_definition])).
% 30.35/5.56 thf(f18608,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (((sK8 @ X1) = $false) | ($true = (sK8 @ (eps1 @ sK8)))) )),
% 30.35/5.56 introduced(definition,[],[choice_axiom])).
% 30.35/5.56 thf(f18949,plain,(
% 30.35/5.56 ~spl0_29 | spl0_55 | ~spl0_87 | ~spl0_101 | ~spl0_121 | ~spl0_158),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f18948])).
% 30.35/5.56 thf(f18948,plain,(
% 30.35/5.56 $false | (~spl0_29 | spl0_55 | ~spl0_87 | ~spl0_101 | ~spl0_121 | ~spl0_158)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f18947,f1231])).
% 30.35/5.56 thf(f18947,plain,(
% 30.35/5.56 ($true != (sK5 @ $false)) | (~spl0_29 | spl0_55 | ~spl0_87 | ~spl0_121 | ~spl0_158)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f18946,f18932])).
% 30.35/5.56 thf(f18932,plain,(
% 30.35/5.56 ($false = sK164) | (~spl0_29 | spl0_55 | ~spl0_121 | ~spl0_158)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f18931,f2365])).
% 30.35/5.56 thf(f18931,plain,(
% 30.35/5.56 ($false = sK164) | ($true != (sK8 @ $true)) | (~spl0_29 | spl0_55 | ~spl0_121)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f18926,f1533])).
% 30.35/5.56 thf(f18926,plain,(
% 30.35/5.56 ((sK8 @ $true) != (sK5 @ $true)) | ($false = sK164) | (~spl0_29 | spl0_55)),
% 30.35/5.56 inference(fool_paramodulation,[status(thm)],[f18918])).
% 30.35/5.56 thf(f18918,plain,(
% 30.35/5.56 ((sK8 @ sK164) != (sK5 @ sK164)) | (~spl0_29 | spl0_55)),
% 30.35/5.56 inference(negative_extensionality,[status(thm)],[f18907])).
% 30.35/5.56 thf(f18907,plain,(
% 30.35/5.56 (sK8 != sK5) | (~spl0_29 | spl0_55)),
% 30.35/5.56 inference(trivial_inequality_removal,[status(thm)],[f18900])).
% 30.35/5.56 thf(f18900,plain,(
% 30.35/5.56 ($false != $false) | (sK8 != sK5) | (~spl0_29 | spl0_55)),
% 30.35/5.56 inference(constrained_superposition,[status(thm)],[f544,f323])).
% 30.35/5.56 thf(f544,plain,(
% 30.35/5.56 ((eps4 @ sK8) != $false) | spl0_55),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f543])).
% 30.35/5.56 thf(f543,definition,(
% 30.35/5.56 spl0_55 <=> ((eps4 @ sK8) = $false)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_55])],[avatar_definition])).
% 30.35/5.56 thf(f18946,plain,(
% 30.35/5.56 ($true != (sK5 @ sK164)) | (~spl0_29 | spl0_55 | ~spl0_87 | ~spl0_121 | ~spl0_158)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f18930,f18932])).
% 30.35/5.56 thf(f18930,plain,(
% 30.35/5.56 ($true != (sK5 @ sK164)) | ($false != sK164) | (~spl0_29 | spl0_55 | ~spl0_87)),
% 30.35/5.56 inference(constrained_superposition,[status(thm)],[f18918,f855])).
% 30.35/5.56 thf(f18776,plain,(
% 30.35/5.56 ~spl0_56 | ~spl0_80 | ~spl0_87 | ~spl0_111 | ~spl0_327),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f18775])).
% 30.35/5.56 thf(f18775,plain,(
% 30.35/5.56 $false | (~spl0_56 | ~spl0_80 | ~spl0_87 | ~spl0_111 | ~spl0_327)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f18774,f1409])).
% 30.35/5.56 thf(f18774,plain,(
% 30.35/5.56 ((sK11 @ $false) != $true) | (~spl0_56 | ~spl0_80 | ~spl0_87 | ~spl0_327)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f18773,f855])).
% 30.35/5.56 thf(f18773,plain,(
% 30.35/5.56 ((sK11 @ $false) != (sK8 @ $false)) | (~spl0_56 | ~spl0_80 | ~spl0_327)),
% 30.35/5.56 inference(backward_demodulation,[status(thm)],[f18636,f18756])).
% 30.35/5.56 thf(f18756,plain,(
% 30.35/5.56 ($false = sK163) | ~spl0_327),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f18755])).
% 30.35/5.56 thf(f18755,definition,(
% 30.35/5.56 spl0_327 <=> ($false = sK163)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_327])],[avatar_definition])).
% 30.35/5.56 thf(f18636,plain,(
% 30.35/5.56 ((sK8 @ sK163) != (sK11 @ sK163)) | (~spl0_56 | ~spl0_80)),
% 30.35/5.56 inference(negative_extensionality,[status(thm)],[f18623])).
% 30.35/5.56 thf(f18623,plain,(
% 30.35/5.56 (sK11 != sK8) | (~spl0_56 | ~spl0_80)),
% 30.35/5.56 inference(trivial_inequality_removal,[status(thm)],[f18616])).
% 30.35/5.56 thf(f18616,plain,(
% 30.35/5.56 ($true = $false) | (sK11 != sK8) | (~spl0_56 | ~spl0_80)),
% 30.35/5.56 inference(constrained_superposition,[status(thm)],[f726,f549])).
% 30.35/5.56 thf(f18761,plain,(
% 30.35/5.56 spl0_327 | ~spl0_56 | ~spl0_80 | ~spl0_158 | ~spl0_169),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f18760,f2743,f2363,f725,f547,f18755])).
% 30.35/5.56 thf(f18760,plain,(
% 30.35/5.56 ($false = sK163) | (~spl0_56 | ~spl0_80 | ~spl0_158 | ~spl0_169)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f18759,f2744])).
% 30.35/5.56 thf(f18759,plain,(
% 30.35/5.56 ($true != (sK11 @ $true)) | ($false = sK163) | (~spl0_56 | ~spl0_80 | ~spl0_158)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f18736,f2365])).
% 30.35/5.56 thf(f18736,plain,(
% 30.35/5.56 ((sK11 @ $true) != (sK8 @ $true)) | ($false = sK163) | (~spl0_56 | ~spl0_80)),
% 30.35/5.56 inference(fool_paramodulation,[status(thm)],[f18636])).
% 30.35/5.56 thf(f18579,plain,(
% 30.35/5.56 ~spl0_31 | ~spl0_55 | ~spl0_87 | ~spl0_101 | ~spl0_316),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f18578])).
% 30.35/5.56 thf(f18578,plain,(
% 30.35/5.56 $false | (~spl0_31 | ~spl0_55 | ~spl0_87 | ~spl0_101 | ~spl0_316)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f18577,f855])).
% 30.35/5.56 thf(f18577,plain,(
% 30.35/5.56 ($true != (sK8 @ $false)) | (~spl0_31 | ~spl0_55 | ~spl0_101 | ~spl0_316)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f18576,f1231])).
% 30.35/5.56 thf(f18576,plain,(
% 30.35/5.56 ((sK8 @ $false) != (sK5 @ $false)) | (~spl0_31 | ~spl0_55 | ~spl0_316)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f18480,f18537])).
% 30.35/5.56 thf(f18537,plain,(
% 30.35/5.56 (sK162 = $false) | ~spl0_316),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f18536])).
% 30.35/5.56 thf(f18536,definition,(
% 30.35/5.56 spl0_316 <=> (sK162 = $false)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_316])],[avatar_definition])).
% 30.35/5.56 thf(f18480,plain,(
% 30.35/5.56 ((sK8 @ sK162) != (sK5 @ sK162)) | (~spl0_31 | ~spl0_55)),
% 30.35/5.56 inference(negative_extensionality,[status(thm)],[f18476])).
% 30.35/5.56 thf(f18476,plain,(
% 30.35/5.56 (sK8 != sK5) | (~spl0_31 | ~spl0_55)),
% 30.35/5.56 inference(trivial_inequality_removal,[status(thm)],[f18473])).
% 30.35/5.56 thf(f18473,plain,(
% 30.35/5.56 ($true = $false) | (sK8 != sK5) | (~spl0_31 | ~spl0_55)),
% 30.35/5.56 inference(constrained_superposition,[status(thm)],[f545,f333])).
% 30.35/5.56 thf(f333,plain,(
% 30.35/5.56 ((eps4 @ sK5) = $true) | ~spl0_31),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f331])).
% 30.35/5.56 thf(f545,plain,(
% 30.35/5.56 ((eps4 @ sK8) = $false) | ~spl0_55),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f543])).
% 30.35/5.56 thf(f18557,plain,(
% 30.35/5.56 spl0_316 | ~spl0_31 | ~spl0_55 | ~spl0_121 | ~spl0_158),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f18556,f2363,f1531,f543,f331,f18536])).
% 30.35/5.56 thf(f18556,plain,(
% 30.35/5.56 (sK162 = $false) | (~spl0_31 | ~spl0_55 | ~spl0_121 | ~spl0_158)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f18555,f2365])).
% 30.35/5.56 thf(f18555,plain,(
% 30.35/5.56 ($true != (sK8 @ $true)) | (sK162 = $false) | (~spl0_31 | ~spl0_55 | ~spl0_121)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f18526,f1533])).
% 30.35/5.56 thf(f18526,plain,(
% 30.35/5.56 (sK162 = $false) | ((sK8 @ $true) != (sK5 @ $true)) | (~spl0_31 | ~spl0_55)),
% 30.35/5.56 inference(fool_paramodulation,[status(thm)],[f18480])).
% 30.35/5.56 thf(f18461,plain,(
% 30.35/5.56 spl0_36 | spl0_34),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f18077,f344,f354])).
% 30.35/5.56 thf(f354,definition,(
% 30.35/5.56 spl0_36 <=> ((sK5 @ (eps5 @ sK5)) = $true)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_36])],[avatar_definition])).
% 30.35/5.56 thf(f18077,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (((sK5 @ (eps5 @ sK5)) = $true) | ($false = (sK5 @ X1))) )),
% 30.35/5.56 introduced(definition,[],[choice_axiom])).
% 30.35/5.56 thf(f18451,plain,(
% 30.35/5.56 spl0_35 | ~spl0_79 | ~spl0_101 | ~spl0_111 | ~spl0_121 | ~spl0_169),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f18450])).
% 30.35/5.56 thf(f18450,plain,(
% 30.35/5.56 $false | (spl0_35 | ~spl0_79 | ~spl0_101 | ~spl0_111 | ~spl0_121 | ~spl0_169)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f18449,f1231])).
% 30.35/5.56 thf(f18449,plain,(
% 30.35/5.56 ($true != (sK5 @ $false)) | (spl0_35 | ~spl0_79 | ~spl0_111 | ~spl0_121 | ~spl0_169)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f18448,f18439])).
% 30.35/5.56 thf(f18439,plain,(
% 30.35/5.56 (sK161 = $false) | (spl0_35 | ~spl0_79 | ~spl0_121 | ~spl0_169)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f18438,f2744])).
% 30.35/5.56 thf(f18438,plain,(
% 30.35/5.56 ($true != (sK11 @ $true)) | (sK161 = $false) | (spl0_35 | ~spl0_79 | ~spl0_121)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f18425,f1533])).
% 30.35/5.56 thf(f18425,plain,(
% 30.35/5.56 (sK161 = $false) | ((sK11 @ $true) != (sK5 @ $true)) | (spl0_35 | ~spl0_79)),
% 30.35/5.56 inference(fool_paramodulation,[status(thm)],[f18385])).
% 30.35/5.56 thf(f18385,plain,(
% 30.35/5.56 ((sK5 @ sK161) != (sK11 @ sK161)) | (spl0_35 | ~spl0_79)),
% 30.35/5.56 inference(negative_extensionality,[status(thm)],[f18372])).
% 30.35/5.56 thf(f18372,plain,(
% 30.35/5.56 (sK11 != sK5) | (spl0_35 | ~spl0_79)),
% 30.35/5.56 inference(trivial_inequality_removal,[status(thm)],[f18365])).
% 30.35/5.56 thf(f18365,plain,(
% 30.35/5.56 (sK11 != sK5) | ($false != $false) | (spl0_35 | ~spl0_79)),
% 30.35/5.56 inference(constrained_superposition,[status(thm)],[f349,f723])).
% 30.35/5.56 thf(f723,plain,(
% 30.35/5.56 ((eps5 @ sK11) = $false) | ~spl0_79),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f721])).
% 30.35/5.56 thf(f18448,plain,(
% 30.35/5.56 ((sK5 @ sK161) != $true) | (spl0_35 | ~spl0_79 | ~spl0_111 | ~spl0_121 | ~spl0_169)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f18428,f18439])).
% 30.35/5.56 thf(f18428,plain,(
% 30.35/5.56 ((sK5 @ sK161) != $true) | (sK161 != $false) | (spl0_35 | ~spl0_79 | ~spl0_111)),
% 30.35/5.56 inference(constrained_superposition,[status(thm)],[f18385,f1409])).
% 30.35/5.56 thf(f18345,plain,(
% 30.35/5.56 ~spl0_57 | ~spl0_84 | ~spl0_87 | ~spl0_111 | ~spl0_158 | ~spl0_169),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f18344])).
% 30.35/5.56 thf(f18344,plain,(
% 30.35/5.56 $false | (~spl0_57 | ~spl0_84 | ~spl0_87 | ~spl0_111 | ~spl0_158 | ~spl0_169)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f18343,f855])).
% 30.35/5.56 thf(f18343,plain,(
% 30.35/5.56 ($true != (sK8 @ $false)) | (~spl0_57 | ~spl0_84 | ~spl0_111 | ~spl0_158 | ~spl0_169)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f18342,f18329])).
% 30.35/5.56 thf(f18329,plain,(
% 30.35/5.56 ($false = sK159) | (~spl0_57 | ~spl0_84 | ~spl0_158 | ~spl0_169)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f18328,f2744])).
% 30.35/5.56 thf(f18328,plain,(
% 30.35/5.56 ($false = sK159) | ($true != (sK11 @ $true)) | (~spl0_57 | ~spl0_84 | ~spl0_158)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f18310,f2365])).
% 30.35/5.56 thf(f18310,plain,(
% 30.35/5.56 ($false = sK159) | ((sK11 @ $true) != (sK8 @ $true)) | (~spl0_57 | ~spl0_84)),
% 30.35/5.56 inference(fool_paramodulation,[status(thm)],[f18231])).
% 30.35/5.56 thf(f18231,plain,(
% 30.35/5.56 ((sK11 @ sK159) != (sK8 @ sK159)) | (~spl0_57 | ~spl0_84)),
% 30.35/5.56 inference(negative_extensionality,[status(thm)],[f18221])).
% 30.35/5.56 thf(f18221,plain,(
% 30.35/5.56 (sK11 != sK8) | (~spl0_57 | ~spl0_84)),
% 30.35/5.56 inference(trivial_inequality_removal,[status(thm)],[f18216])).
% 30.35/5.56 thf(f18216,plain,(
% 30.35/5.56 ($true = $false) | (sK11 != sK8) | (~spl0_57 | ~spl0_84)),
% 30.35/5.56 inference(constrained_superposition,[status(thm)],[f553,f745])).
% 30.35/5.56 thf(f553,plain,(
% 30.35/5.56 ($true = (eps1 @ sK8)) | ~spl0_57),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f552])).
% 30.35/5.56 thf(f552,definition,(
% 30.35/5.56 spl0_57 <=> ($true = (eps1 @ sK8))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_57])],[avatar_definition])).
% 30.35/5.56 thf(f18342,plain,(
% 30.35/5.56 ($true != (sK8 @ sK159)) | (~spl0_57 | ~spl0_84 | ~spl0_111 | ~spl0_158 | ~spl0_169)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f18313,f18329])).
% 30.35/5.56 thf(f18313,plain,(
% 30.35/5.56 ($true != (sK8 @ sK159)) | ($false != sK159) | (~spl0_57 | ~spl0_84 | ~spl0_111)),
% 30.35/5.56 inference(constrained_superposition,[status(thm)],[f18231,f1409])).
% 30.35/5.56 thf(f18327,plain,(
% 30.35/5.56 spl0_312 | ~spl0_310 | ~spl0_57 | ~spl0_84),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f18311,f743,f552,f18315,f18324])).
% 30.35/5.56 thf(f18311,plain,(
% 30.35/5.56 ((sK11 @ sK159) = $false) | ($true != (sK8 @ sK159)) | (~spl0_57 | ~spl0_84)),
% 30.35/5.56 inference(fool_paramodulation,[status(thm)],[f18231])).
% 30.35/5.56 thf(f18206,plain,(
% 30.35/5.56 ~spl0_309 | spl0_305 | ~spl0_81 | ~spl0_243),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f18205,f10795,f730,f18086,f18192])).
% 30.35/5.56 thf(f18205,plain,(
% 30.35/5.56 (sK11 != sK4) | ($true = (eps5 @ sK4)) | (~spl0_81 | ~spl0_243)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f18202,f10796])).
% 30.35/5.56 thf(f18202,plain,(
% 30.35/5.56 (sK11 != sK10) | ($true = (eps5 @ sK4)) | (~spl0_81 | ~spl0_243)),
% 30.35/5.56 inference(constrained_superposition,[status(thm)],[f732,f10796])).
% 30.35/5.56 thf(f18195,plain,(
% 30.35/5.56 ~spl0_308 | ~spl0_309 | spl0_79 | ~spl0_243),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f18186,f10795,f721,f18192,f18188])).
% 30.35/5.56 thf(f18186,plain,(
% 30.35/5.56 ((eps5 @ sK4) != $false) | (sK11 != sK4) | (spl0_79 | ~spl0_243)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f18183,f10796])).
% 30.35/5.56 thf(f18183,plain,(
% 30.35/5.56 ((eps5 @ sK4) != $false) | (sK11 != sK10) | (spl0_79 | ~spl0_243)),
% 30.35/5.56 inference(constrained_superposition,[status(thm)],[f722,f10796])).
% 30.35/5.56 thf(f722,plain,(
% 30.35/5.56 ((eps5 @ sK11) != $false) | spl0_79),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f721])).
% 30.35/5.56 thf(f17749,plain,(
% 30.35/5.56 ~spl0_20 | spl0_76 | ~spl0_243),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f17746,f10795,f686,f218])).
% 30.35/5.56 thf(f17746,plain,(
% 30.35/5.56 ((eps2 @ sK4) != $false) | (spl0_76 | ~spl0_243)),
% 30.35/5.56 inference(backward_demodulation,[status(thm)],[f687,f10796])).
% 30.35/5.56 thf(f687,plain,(
% 30.35/5.56 ((eps2 @ sK10) != $false) | spl0_76),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f686])).
% 30.35/5.56 thf(f17730,plain,(
% 30.35/5.56 spl0_134 | ~spl0_67 | ~spl0_129),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f17729,f1725,f620,f1766])).
% 30.35/5.56 thf(f17729,plain,(
% 30.35/5.56 ((eps5 @ sK2) = $true) | (~spl0_67 | ~spl0_129)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f622,f1726])).
% 30.35/5.56 thf(f1726,plain,(
% 30.35/5.56 (sK9 = sK2) | ~spl0_129),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f1725])).
% 30.35/5.56 thf(f17709,plain,(
% 30.35/5.56 spl0_37 | spl0_10 | ~spl0_14),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f15168,f169,f151,f373])).
% 30.35/5.56 thf(f373,definition,(
% 30.35/5.56 spl0_37 <=> ((sK3 @ $false) = $true)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_37])],[avatar_definition])).
% 30.35/5.56 thf(f151,definition,(
% 30.35/5.56 spl0_10 <=> ! [X1 : $o] : ((sK3 @ X1) = $false)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_10])],[avatar_definition])).
% 30.35/5.56 thf(f15168,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (((sK3 @ $false) = $true) | ((sK3 @ X1) = $false)) ) | ~spl0_14),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f12492,f171])).
% 30.35/5.56 thf(f12492,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (((sK3 @ X1) = $false) | ($true = (sK3 @ (eps3 @ sK3)))) )),
% 30.35/5.56 introduced(definition,[],[choice_axiom])).
% 30.35/5.56 thf(f17695,plain,(
% 30.35/5.56 spl0_23 | ~spl0_130 | ~spl0_142),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f17694,f1961,f1731,f257])).
% 30.35/5.56 thf(f1731,definition,(
% 30.35/5.56 spl0_130 <=> (sK6 = sK2)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_130])],[avatar_definition])).
% 30.35/5.56 thf(f1961,definition,(
% 30.35/5.56 spl0_142 <=> (sK3 = sK6)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_142])],[avatar_definition])).
% 30.35/5.56 thf(f17694,plain,(
% 30.35/5.56 (sK3 = sK2) | (~spl0_130 | ~spl0_142)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f1962,f1732])).
% 30.35/5.56 thf(f1732,plain,(
% 30.35/5.56 (sK6 = sK2) | ~spl0_130),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f1731])).
% 30.35/5.56 thf(f1962,plain,(
% 30.35/5.56 (sK3 = sK6) | ~spl0_142),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f1961])).
% 30.35/5.56 thf(f17693,plain,(
% 30.35/5.56 spl0_253 | spl0_10 | ~spl0_8),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f17006,f142,f151,f11847])).
% 30.35/5.56 thf(f11847,definition,(
% 30.35/5.56 spl0_253 <=> ($true = (sK3 @ $true))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_253])],[avatar_definition])).
% 30.35/5.56 thf(f17006,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (($true = (sK3 @ $true)) | ((sK3 @ X1) = $false)) ) | ~spl0_8),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f17000,f144])).
% 30.35/5.56 thf(f17000,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (($true = (sK3 @ (eps5 @ sK3))) | ((sK3 @ X1) = $false)) )),
% 30.35/5.56 introduced(definition,[],[choice_axiom])).
% 30.35/5.56 thf(f17675,plain,(
% 30.35/5.56 spl0_4 | ~spl0_65 | ~spl0_129),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f17674,f1725,f610,f106])).
% 30.35/5.56 thf(f17674,plain,(
% 30.35/5.56 ((eps2 @ sK2) = $false) | (~spl0_65 | ~spl0_129)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f612,f1726])).
% 30.35/5.56 thf(f17547,plain,(
% 30.35/5.56 ~spl0_24 | ~spl0_130 | ~spl0_131),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f17546,f1735,f1731,f261])).
% 30.35/5.56 thf(f17546,plain,(
% 30.35/5.56 ((eps3 @ sK2) != $false) | (~spl0_130 | ~spl0_131)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f17545,f1737])).
% 30.35/5.56 thf(f1737,plain,(
% 30.35/5.56 ((eps1 @ sK2) = $false) | ~spl0_131),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f1735])).
% 30.35/5.56 thf(f17545,plain,(
% 30.35/5.56 ((eps3 @ sK2) != (eps1 @ sK2)) | ~spl0_130),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f81,f1732])).
% 30.35/5.56 thf(f17528,plain,(
% 30.35/5.56 ~spl0_134 | ~spl0_6 | ~spl0_129),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f17527,f1725,f115,f1766])).
% 30.35/5.56 thf(f17527,plain,(
% 30.35/5.56 ((eps5 @ sK2) != $true) | (~spl0_6 | ~spl0_129)),
% 30.35/5.56 inference(backward_demodulation,[status(thm)],[f16582,f117])).
% 30.35/5.56 thf(f16582,plain,(
% 30.35/5.56 ((eps2 @ sK2) != (eps5 @ sK2)) | ~spl0_129),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f84,f1726])).
% 30.35/5.56 thf(f17519,plain,(
% 30.35/5.56 spl0_5 | ~spl0_51 | ~spl0_52),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f17518,f504,f499,f110])).
% 30.35/5.56 thf(f504,definition,(
% 30.35/5.56 spl0_52 <=> (sK2 = sK7)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_52])],[avatar_definition])).
% 30.35/5.56 thf(f17518,plain,(
% 30.35/5.56 ((eps4 @ sK2) = $false) | (~spl0_51 | ~spl0_52)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f501,f505])).
% 30.35/5.56 thf(f505,plain,(
% 30.35/5.56 (sK2 = sK7) | ~spl0_52),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f504])).
% 30.35/5.56 thf(f501,plain,(
% 30.35/5.56 ((eps4 @ sK7) = $false) | ~spl0_51),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f499])).
% 30.35/5.56 thf(f17516,plain,(
% 30.35/5.56 spl0_6 | ~spl0_63 | ~spl0_129),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f17515,f1725,f601,f115])).
% 30.35/5.56 thf(f17515,plain,(
% 30.35/5.56 ((eps2 @ sK2) = $true) | (~spl0_63 | ~spl0_129)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f602,f1726])).
% 30.35/5.56 thf(f602,plain,(
% 30.35/5.56 ($true = (eps2 @ sK9)) | ~spl0_63),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f601])).
% 30.35/5.56 thf(f17509,plain,(
% 30.35/5.56 spl0_26 | ~spl0_50 | ~spl0_52),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f17508,f504,f495,f273])).
% 30.35/5.56 thf(f495,definition,(
% 30.35/5.56 spl0_50 <=> ($true = (eps3 @ sK7))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_50])],[avatar_definition])).
% 30.35/5.56 thf(f17508,plain,(
% 30.35/5.56 ($true = (eps3 @ sK2)) | (~spl0_50 | ~spl0_52)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f496,f505])).
% 30.35/5.56 thf(f496,plain,(
% 30.35/5.56 ($true = (eps3 @ sK7)) | ~spl0_50),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f495])).
% 30.35/5.56 thf(f17507,plain,(
% 30.35/5.56 ~spl0_24 | spl0_38 | ~spl0_130),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f17505,f1731,f419,f261])).
% 30.35/5.56 thf(f17505,plain,(
% 30.35/5.56 ((eps3 @ sK2) != $false) | (spl0_38 | ~spl0_130)),
% 30.35/5.56 inference(backward_demodulation,[status(thm)],[f420,f1732])).
% 30.35/5.56 thf(f17503,plain,(
% 30.35/5.56 ~spl0_24 | ~spl0_52 | spl0_53),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f17502,f508,f504,f261])).
% 30.35/5.56 thf(f17502,plain,(
% 30.35/5.56 ((eps3 @ sK2) != $false) | (~spl0_52 | spl0_53)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f510,f505])).
% 30.35/5.56 thf(f510,plain,(
% 30.35/5.56 ((eps3 @ sK7) != $false) | spl0_53),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f508])).
% 30.35/5.56 thf(f17487,plain,(
% 30.35/5.56 ~spl0_37 | spl0_296 | ~spl0_299),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f17486])).
% 30.35/5.56 thf(f17486,plain,(
% 30.35/5.56 $false | (~spl0_37 | spl0_296 | ~spl0_299)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f17485,f375])).
% 30.35/5.56 thf(f375,plain,(
% 30.35/5.56 ((sK3 @ $false) = $true) | ~spl0_37),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f373])).
% 30.35/5.56 thf(f17485,plain,(
% 30.35/5.56 ((sK3 @ $false) != $true) | (spl0_296 | ~spl0_299)),
% 30.35/5.56 inference(backward_demodulation,[status(thm)],[f17439,f17452])).
% 30.35/5.56 thf(f17452,plain,(
% 30.35/5.56 (sK153 = $false) | ~spl0_299),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f17451])).
% 30.35/5.56 thf(f17451,definition,(
% 30.35/5.56 spl0_299 <=> (sK153 = $false)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_299])],[avatar_definition])).
% 30.35/5.56 thf(f17439,plain,(
% 30.35/5.56 ($true != (sK3 @ sK153)) | spl0_296),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f17437])).
% 30.35/5.56 thf(f17437,definition,(
% 30.35/5.56 spl0_296 <=> ($true = (sK3 @ sK153))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_296])],[avatar_definition])).
% 30.35/5.56 thf(f17472,plain,(
% 30.35/5.56 spl0_299 | ~spl0_93 | spl0_142 | ~spl0_253),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f17471,f11847,f1961,f1017,f17451])).
% 30.35/5.56 thf(f17471,plain,(
% 30.35/5.56 (sK153 = $false) | (~spl0_93 | spl0_142 | ~spl0_253)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f17470,f11849])).
% 30.35/5.56 thf(f11849,plain,(
% 30.35/5.56 ($true = (sK3 @ $true)) | ~spl0_253),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f11847])).
% 30.35/5.56 thf(f17470,plain,(
% 30.35/5.56 (sK153 = $false) | ($true != (sK3 @ $true)) | (~spl0_93 | spl0_142)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f17429,f1019])).
% 30.35/5.56 thf(f17429,plain,(
% 30.35/5.56 (sK153 = $false) | ((sK3 @ $true) != (sK6 @ $true)) | spl0_142),
% 30.35/5.56 inference(fool_paramodulation,[status(thm)],[f16917])).
% 30.35/5.56 thf(f16917,plain,(
% 30.35/5.56 ((sK3 @ sK153) != (sK6 @ sK153)) | spl0_142),
% 30.35/5.56 inference(negative_extensionality,[status(thm)],[f1963])).
% 30.35/5.56 thf(f1963,plain,(
% 30.35/5.56 (sK3 != sK6) | spl0_142),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f1961])).
% 30.35/5.56 thf(f17454,plain,(
% 30.35/5.56 ~spl0_296 | ~spl0_299 | ~spl0_92 | spl0_142),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f17435,f1961,f1009,f17451,f17437])).
% 30.35/5.56 thf(f17435,plain,(
% 30.35/5.56 ($true != (sK3 @ sK153)) | (sK153 != $false) | (~spl0_92 | spl0_142)),
% 30.35/5.56 inference(constrained_superposition,[status(thm)],[f16917,f1011])).
% 30.35/5.56 thf(f17028,plain,(
% 30.35/5.56 ~spl0_110 | spl0_150 | spl0_152),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f17027])).
% 30.35/5.56 thf(f17027,plain,(
% 30.35/5.56 $false | (~spl0_110 | spl0_150 | spl0_152)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f17026,f1342])).
% 30.35/5.56 thf(f17026,plain,(
% 30.35/5.56 ($true != (sK10 @ $true)) | (spl0_150 | spl0_152)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f17019,f2171])).
% 30.35/5.56 thf(f2171,plain,(
% 30.35/5.56 (sK19 != $false) | spl0_152),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f2170])).
% 30.35/5.56 thf(f2170,definition,(
% 30.35/5.56 spl0_152 <=> (sK19 = $false)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_152])],[avatar_definition])).
% 30.35/5.56 thf(f17019,plain,(
% 30.35/5.56 (sK19 = $false) | ($true != (sK10 @ $true)) | spl0_150),
% 30.35/5.56 inference(fool_paramodulation,[status(thm)],[f2076])).
% 30.35/5.56 thf(f2076,plain,(
% 30.35/5.56 ((sK10 @ sK19) != $true) | spl0_150),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f2075])).
% 30.35/5.56 thf(f2075,definition,(
% 30.35/5.56 spl0_150 <=> ((sK10 @ sK19) = $true)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_150])],[avatar_definition])).
% 30.35/5.56 thf(f16639,plain,(
% 30.35/5.56 ~spl0_21 | spl0_145 | ~spl0_146),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f16638])).
% 30.35/5.56 thf(f16638,plain,(
% 30.35/5.56 $false | (~spl0_21 | spl0_145 | ~spl0_146)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f16637,f1979])).
% 30.35/5.56 thf(f16637,plain,(
% 30.35/5.56 ($false = (eps1 @ sK3)) | (~spl0_21 | ~spl0_146)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f224,f1984])).
% 30.35/5.56 thf(f1984,plain,(
% 30.35/5.56 (sK4 = sK3) | ~spl0_146),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f1983])).
% 30.35/5.56 thf(f1983,definition,(
% 30.35/5.56 spl0_146 <=> (sK4 = sK3)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_146])],[avatar_definition])).
% 30.35/5.56 thf(f16586,plain,(
% 30.35/5.56 spl0_24 | ~spl0_52 | ~spl0_53),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f16585,f508,f504,f261])).
% 30.35/5.56 thf(f16585,plain,(
% 30.35/5.56 ((eps3 @ sK2) = $false) | (~spl0_52 | ~spl0_53)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f509,f505])).
% 30.35/5.56 thf(f16495,plain,(
% 30.35/5.56 spl0_147 | ~spl0_29 | ~spl0_30),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f16371,f326,f322,f2000])).
% 30.35/5.56 thf(f16371,plain,(
% 30.35/5.56 ((eps4 @ sK3) = $false) | (~spl0_29 | ~spl0_30)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f323,f327])).
% 30.35/5.56 thf(f16475,plain,(
% 30.35/5.56 spl0_91 | spl0_68 | ~spl0_65),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f16474,f610,f625,f993])).
% 30.35/5.56 thf(f16474,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (((sK9 @ X1) = $false) | ($true = (sK9 @ $false))) ) | ~spl0_65),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f13253,f612])).
% 30.35/5.56 thf(f13253,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (($true = (sK9 @ (eps2 @ sK9))) | ((sK9 @ X1) = $false)) )),
% 30.35/5.56 introduced(definition,[],[choice_axiom])).
% 30.35/5.56 thf(f16439,plain,(
% 30.35/5.56 spl0_144 | ~spl0_16 | ~spl0_146),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f16431,f1983,f200,f1971])).
% 30.35/5.56 thf(f16431,plain,(
% 30.35/5.56 ($true = (eps1 @ sK3)) | (~spl0_16 | ~spl0_146)),
% 30.35/5.56 inference(backward_demodulation,[status(thm)],[f202,f1984])).
% 30.35/5.56 thf(f202,plain,(
% 30.35/5.56 ($true = (eps1 @ sK4)) | ~spl0_16),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f200])).
% 30.35/5.56 thf(f16402,plain,(
% 30.35/5.56 ~spl0_2 | ~spl0_293),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f16401])).
% 30.35/5.56 thf(f16401,plain,(
% 30.35/5.56 $false | (~spl0_2 | ~spl0_293)),
% 30.35/5.56 inference(trivial_inequality_removal,[status(thm)],[f16392])).
% 30.35/5.56 thf(f16392,plain,(
% 30.35/5.56 ($true = $false) | (~spl0_2 | ~spl0_293)),
% 30.35/5.56 inference(backward_demodulation,[status(thm)],[f14904,f98])).
% 30.35/5.56 thf(f98,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (((sK2 @ X1) = $false)) ) | ~spl0_2),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f97])).
% 30.35/5.56 thf(f97,definition,(
% 30.35/5.56 spl0_2 <=> ! [X1 : $o] : ((sK2 @ X1) = $false)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_2])],[avatar_definition])).
% 30.35/5.56 thf(f14904,plain,(
% 30.35/5.56 ($true = (sK2 @ sK137)) | ~spl0_293),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f14902])).
% 30.35/5.56 thf(f14902,definition,(
% 30.35/5.56 spl0_293 <=> ($true = (sK2 @ sK137))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_293])],[avatar_definition])).
% 30.35/5.56 thf(f16398,plain,(
% 30.35/5.56 ~spl0_2 | ~spl0_287),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f16397])).
% 30.35/5.56 thf(f16397,plain,(
% 30.35/5.56 $false | (~spl0_2 | ~spl0_287)),
% 30.35/5.56 inference(trivial_inequality_removal,[status(thm)],[f16394])).
% 30.35/5.56 thf(f16394,plain,(
% 30.35/5.56 ($true = $false) | (~spl0_2 | ~spl0_287)),
% 30.35/5.56 inference(backward_demodulation,[status(thm)],[f14310,f98])).
% 30.35/5.56 thf(f14310,plain,(
% 30.35/5.56 ($true = (sK2 @ sK140)) | ~spl0_287),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f14309])).
% 30.35/5.56 thf(f14309,definition,(
% 30.35/5.56 spl0_287 <=> ($true = (sK2 @ sK140))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_287])],[avatar_definition])).
% 30.35/5.56 thf(f16364,plain,(
% 30.35/5.56 spl0_225 | ~spl0_228 | ~spl0_253),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f16363])).
% 30.35/5.56 thf(f16363,plain,(
% 30.35/5.56 $false | (spl0_225 | ~spl0_228 | ~spl0_253)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f16362,f11849])).
% 30.35/5.56 thf(f16362,plain,(
% 30.35/5.56 ($true != (sK3 @ $true)) | (spl0_225 | ~spl0_228)),
% 30.35/5.56 inference(backward_demodulation,[status(thm)],[f7276,f7289])).
% 30.35/5.56 thf(f7289,plain,(
% 30.35/5.56 (sK68 = $true) | ~spl0_228),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f7288])).
% 30.35/5.56 thf(f7288,definition,(
% 30.35/5.56 spl0_228 <=> (sK68 = $true)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_228])],[avatar_definition])).
% 30.35/5.56 thf(f7276,plain,(
% 30.35/5.56 ($true != (sK3 @ sK68)) | spl0_225),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f7274])).
% 30.35/5.56 thf(f7274,definition,(
% 30.35/5.56 spl0_225 <=> ($true = (sK3 @ sK68))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_225])],[avatar_definition])).
% 30.35/5.56 thf(f16349,plain,(
% 30.35/5.56 ~spl0_25 | spl0_79 | ~spl0_132),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f16348,f1742,f721,f267])).
% 30.35/5.56 thf(f16348,plain,(
% 30.35/5.56 ((eps5 @ sK2) != $false) | (spl0_79 | ~spl0_132)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f722,f1743])).
% 30.35/5.56 thf(f16347,plain,(
% 30.35/5.56 ~spl0_8 | ~spl0_30 | ~spl0_54 | ~spl0_184),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f16346])).
% 30.35/5.56 thf(f16346,plain,(
% 30.35/5.56 $false | (~spl0_8 | ~spl0_30 | ~spl0_54 | ~spl0_184)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f16091,f16301])).
% 30.35/5.56 thf(f16301,plain,(
% 30.35/5.56 ($true != (eps4 @ sK3)) | (~spl0_8 | ~spl0_30)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f16300,f144])).
% 30.35/5.56 thf(f16300,plain,(
% 30.35/5.56 ((eps4 @ sK3) != (eps5 @ sK3)) | ~spl0_30),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f80,f327])).
% 30.35/5.56 thf(f16091,plain,(
% 30.35/5.56 ($true = (eps4 @ sK3)) | (~spl0_54 | ~spl0_184)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f515,f3580])).
% 30.35/5.56 thf(f3580,plain,(
% 30.35/5.56 (sK3 = sK7) | ~spl0_184),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f3579])).
% 30.35/5.56 thf(f3579,definition,(
% 30.35/5.56 spl0_184 <=> (sK3 = sK7)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_184])],[avatar_definition])).
% 30.35/5.56 thf(f515,plain,(
% 30.35/5.56 ((eps4 @ sK7) = $true) | ~spl0_54),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f513])).
% 30.35/5.56 thf(f513,definition,(
% 30.35/5.56 spl0_54 <=> ((eps4 @ sK7) = $true)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_54])],[avatar_definition])).
% 30.35/5.56 thf(f16311,plain,(
% 30.35/5.56 spl0_253 | ~spl0_8 | ~spl0_11),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f16310,f154,f142,f11847])).
% 30.35/5.56 thf(f154,definition,(
% 30.35/5.56 spl0_11 <=> ($true = (sK3 @ (eps5 @ sK3)))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_11])],[avatar_definition])).
% 30.35/5.56 thf(f16310,plain,(
% 30.35/5.56 ($true = (sK3 @ $true)) | (~spl0_8 | ~spl0_11)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f156,f144])).
% 30.35/5.56 thf(f156,plain,(
% 30.35/5.56 ($true = (sK3 @ (eps5 @ sK3))) | ~spl0_11),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f154])).
% 30.35/5.56 thf(f16305,plain,(
% 30.35/5.56 spl0_131 | ~spl0_84 | ~spl0_132),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f16304,f1742,f743,f1735])).
% 30.35/5.56 thf(f16304,plain,(
% 30.35/5.56 ((eps1 @ sK2) = $false) | (~spl0_84 | ~spl0_132)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f745,f1743])).
% 30.35/5.56 thf(f16273,plain,(
% 30.35/5.56 ~spl0_206 | spl0_82 | ~spl0_132),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f16272,f1742,f735,f4193])).
% 30.35/5.56 thf(f4193,definition,(
% 30.35/5.56 spl0_206 <=> ($true = (sK2 @ (eps1 @ sK2)))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_206])],[avatar_definition])).
% 30.35/5.56 thf(f16272,plain,(
% 30.35/5.56 ($true != (sK2 @ (eps1 @ sK2))) | (spl0_82 | ~spl0_132)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f736,f1743])).
% 30.35/5.56 thf(f736,plain,(
% 30.35/5.56 ($true != (sK11 @ (eps1 @ sK11))) | spl0_82),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f735])).
% 30.35/5.56 thf(f16271,plain,(
% 30.35/5.56 ~spl0_205 | spl0_86 | ~spl0_132),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f16270,f1742,f753,f4156])).
% 30.35/5.56 thf(f4156,definition,(
% 30.35/5.56 spl0_205 <=> ($true = (sK2 @ (eps5 @ sK2)))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_205])],[avatar_definition])).
% 30.35/5.56 thf(f16270,plain,(
% 30.35/5.56 ($true != (sK2 @ (eps5 @ sK2))) | (spl0_86 | ~spl0_132)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f754,f1743])).
% 30.35/5.56 thf(f754,plain,(
% 30.35/5.56 ($true != (sK11 @ (eps5 @ sK11))) | spl0_86),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f753])).
% 30.35/5.56 thf(f16261,plain,(
% 30.35/5.56 spl0_2 | spl0_109 | ~spl0_4),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f16260,f106,f1323,f97])).
% 30.35/5.56 thf(f1323,definition,(
% 30.35/5.56 spl0_109 <=> ($true = (sK2 @ $false))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_109])],[avatar_definition])).
% 30.35/5.56 thf(f16260,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (($true = (sK2 @ $false)) | ((sK2 @ X1) = $false)) ) | ~spl0_4),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f11177,f108])).
% 30.35/5.56 thf(f11177,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (($true = (sK2 @ (eps2 @ sK2))) | ((sK2 @ X1) = $false)) )),
% 30.35/5.56 introduced(definition,[],[choice_axiom])).
% 30.35/5.56 thf(f16253,plain,(
% 30.35/5.56 spl0_180 | spl0_2 | ~spl0_7),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f15983,f119,f97,f3060])).
% 30.35/5.56 thf(f3060,definition,(
% 30.35/5.56 spl0_180 <=> ($true = (sK2 @ $true))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_180])],[avatar_definition])).
% 30.35/5.56 thf(f15983,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (((sK2 @ X1) = $false) | ($true = (sK2 @ $true))) ) | ~spl0_7),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f11338,f121])).
% 30.35/5.56 thf(f121,plain,(
% 30.35/5.56 ($true = (eps4 @ sK2)) | ~spl0_7),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f119])).
% 30.35/5.56 thf(f11338,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (($true = (sK2 @ (eps4 @ sK2))) | ((sK2 @ X1) = $false)) )),
% 30.35/5.56 introduced(definition,[],[choice_axiom])).
% 30.35/5.56 thf(f16227,plain,(
% 30.35/5.56 spl0_25 | ~spl0_35 | ~spl0_128),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f16226,f1721,f348,f267])).
% 30.35/5.56 thf(f16226,plain,(
% 30.35/5.56 ((eps5 @ sK2) = $false) | (~spl0_35 | ~spl0_128)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f350,f1722])).
% 30.35/5.56 thf(f16202,plain,(
% 30.35/5.56 ~spl0_24 | ~spl0_4 | ~spl0_183),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f16201,f3485,f106,f261])).
% 30.35/5.56 thf(f16201,plain,(
% 30.35/5.56 ((eps3 @ sK2) != $false) | (~spl0_4 | ~spl0_183)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f15910,f108])).
% 30.35/5.56 thf(f15910,plain,(
% 30.35/5.56 ((eps2 @ sK2) != (eps3 @ sK2)) | ~spl0_183),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f85,f3486])).
% 30.35/5.56 thf(f16191,plain,(
% 30.35/5.56 spl0_25 | ~spl0_79 | ~spl0_132),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f16188,f1742,f721,f267])).
% 30.35/5.56 thf(f16188,plain,(
% 30.35/5.56 ((eps5 @ sK2) = $false) | (~spl0_79 | ~spl0_132)),
% 30.35/5.56 inference(backward_demodulation,[status(thm)],[f723,f1743])).
% 30.35/5.56 thf(f16166,plain,(
% 30.35/5.56 ~spl0_21 | ~spl0_20),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f16165,f218,f222])).
% 30.35/5.56 thf(f16165,plain,(
% 30.35/5.56 ((eps1 @ sK4) != $false) | ~spl0_20),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f79,f220])).
% 30.35/5.56 thf(f220,plain,(
% 30.35/5.56 ((eps2 @ sK4) = $false) | ~spl0_20),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f218])).
% 30.35/5.56 thf(f79,plain,(
% 30.35/5.56 ((eps1 @ sK4) != (eps2 @ sK4))),
% 30.35/5.56 inference(negative_extensionality,[status(thm)],[f42])).
% 30.35/5.56 thf(f42,plain,(
% 30.35/5.56 (eps1 != eps2)),
% 30.35/5.56 inference(cnf_transformation,[status(thm)],[f17])).
% 30.35/5.56 thf(f17,plain,(
% 30.35/5.56 (eps1 != eps2)),
% 30.35/5.56 inference(fool_elimination,[status(thm)],[f6])).
% 30.35/5.56 thf(f6,axiom,(
% 30.35/5.56 (eps1 != eps2)),
% 30.35/5.56 file('/export/starexec/sandbox2/tmp/tmp.2wiz2zWszC/DTF2THF_5231.p',choiceax12)).
% 30.35/5.56 thf(f16163,plain,(
% 30.35/5.56 spl0_2 | spl0_206),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f11523,f4193,f97])).
% 30.35/5.56 thf(f11523,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (((sK2 @ X1) = $false) | ($true = (sK2 @ (eps1 @ sK2)))) )),
% 30.35/5.56 introduced(definition,[],[choice_axiom])).
% 30.35/5.56 thf(f16159,plain,(
% 30.35/5.56 spl0_224 | ~spl0_65 | ~spl0_66),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f16158,f615,f610,f7046])).
% 30.35/5.56 thf(f615,definition,(
% 30.35/5.56 spl0_66 <=> (sK9 = sK3)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_66])],[avatar_definition])).
% 30.35/5.56 thf(f16158,plain,(
% 30.35/5.56 ($false = (eps2 @ sK3)) | (~spl0_65 | ~spl0_66)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f612,f616])).
% 30.35/5.56 thf(f616,plain,(
% 30.35/5.56 (sK9 = sK3) | ~spl0_66),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f615])).
% 30.35/5.56 thf(f16153,plain,(
% 30.35/5.56 spl0_24 | ~spl0_38 | ~spl0_130),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f16152,f1731,f419,f261])).
% 30.35/5.56 thf(f16152,plain,(
% 30.35/5.56 ((eps3 @ sK2) = $false) | (~spl0_38 | ~spl0_130)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f421,f1732])).
% 30.35/5.56 thf(f421,plain,(
% 30.35/5.56 ((eps3 @ sK6) = $false) | ~spl0_38),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f419])).
% 30.35/5.56 thf(f16151,plain,(
% 30.35/5.56 spl0_133 | ~spl0_42 | ~spl0_130),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f16150,f1731,f436,f1758])).
% 30.35/5.56 thf(f16150,plain,(
% 30.35/5.56 ($true = (eps1 @ sK2)) | (~spl0_42 | ~spl0_130)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f437,f1732])).
% 30.35/5.56 thf(f16143,plain,(
% 30.35/5.56 spl0_111 | spl0_83 | ~spl0_79),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f16142,f721,f739,f1407])).
% 30.35/5.56 thf(f16142,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (((sK11 @ $false) = $true) | ($false = (sK11 @ X1))) ) | ~spl0_79),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f13319,f723])).
% 30.35/5.56 thf(f13319,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (($true = (sK11 @ (eps5 @ sK11))) | ($false = (sK11 @ X1))) )),
% 30.35/5.56 introduced(definition,[],[choice_axiom])).
% 30.35/5.56 thf(f16140,plain,(
% 30.35/5.56 spl0_146 | ~spl0_66 | ~spl0_178),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f16139,f2980,f615,f1983])).
% 30.35/5.56 thf(f16139,plain,(
% 30.35/5.56 (sK4 = sK3) | (~spl0_66 | ~spl0_178)),
% 30.35/5.56 inference(backward_demodulation,[status(thm)],[f2981,f616])).
% 30.35/5.56 thf(f16112,plain,(
% 30.35/5.56 ~spl0_131 | spl0_39 | ~spl0_130),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f16111,f1731,f423,f1735])).
% 30.35/5.56 thf(f16111,plain,(
% 30.35/5.56 ((eps1 @ sK2) != $false) | (spl0_39 | ~spl0_130)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f424,f1732])).
% 30.35/5.56 thf(f16100,plain,(
% 30.35/5.56 ~spl0_8 | ~spl0_30 | spl0_32),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f16099])).
% 30.35/5.56 thf(f16099,plain,(
% 30.35/5.56 $false | (~spl0_8 | ~spl0_30 | spl0_32)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f16098,f144])).
% 30.35/5.56 thf(f16098,plain,(
% 30.35/5.56 ($true != (eps5 @ sK3)) | (~spl0_30 | spl0_32)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f336,f327])).
% 30.35/5.56 thf(f16090,plain,(
% 30.35/5.56 spl0_13 | ~spl0_30 | ~spl0_35),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f16089])).
% 30.35/5.56 thf(f16089,plain,(
% 30.35/5.56 $false | (spl0_13 | ~spl0_30 | ~spl0_35)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f16088,f165])).
% 30.35/5.56 thf(f16088,plain,(
% 30.35/5.56 ($false = (eps5 @ sK3)) | (~spl0_30 | ~spl0_35)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f350,f327])).
% 30.35/5.56 thf(f16082,plain,(
% 30.35/5.56 ~spl0_147 | spl0_29 | ~spl0_30),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f16081,f326,f322,f2000])).
% 30.35/5.56 thf(f16081,plain,(
% 30.35/5.56 ((eps4 @ sK3) != $false) | (spl0_29 | ~spl0_30)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f324,f327])).
% 30.35/5.56 thf(f324,plain,(
% 30.35/5.56 ((eps4 @ sK5) != $false) | spl0_29),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f322])).
% 30.35/5.56 thf(f16080,plain,(
% 30.35/5.56 spl0_13 | ~spl0_79 | ~spl0_85),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f16079])).
% 30.35/5.56 thf(f16079,plain,(
% 30.35/5.56 $false | (spl0_13 | ~spl0_79 | ~spl0_85)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f16078,f165])).
% 30.35/5.56 thf(f16078,plain,(
% 30.35/5.56 ($false = (eps5 @ sK3)) | (~spl0_79 | ~spl0_85)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f723,f749])).
% 30.35/5.56 thf(f749,plain,(
% 30.35/5.56 (sK11 = sK3) | ~spl0_85),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f748])).
% 30.35/5.56 thf(f748,definition,(
% 30.35/5.56 spl0_85 <=> (sK11 = sK3)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_85])],[avatar_definition])).
% 30.35/5.56 thf(f16068,plain,(
% 30.35/5.56 ~spl0_20 | ~spl0_146 | spl0_224),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f16067])).
% 30.35/5.56 thf(f16067,plain,(
% 30.35/5.56 $false | (~spl0_20 | ~spl0_146 | spl0_224)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f16066,f7048])).
% 30.35/5.56 thf(f16066,plain,(
% 30.35/5.56 ($false = (eps2 @ sK3)) | (~spl0_20 | ~spl0_146)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f220,f1984])).
% 30.35/5.56 thf(f16062,plain,(
% 30.35/5.56 ~spl0_144 | ~spl0_8 | ~spl0_85),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f16061,f748,f142,f1971])).
% 30.35/5.56 thf(f16061,plain,(
% 30.35/5.56 ($true != (eps1 @ sK3)) | (~spl0_8 | ~spl0_85)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f16060,f144])).
% 30.35/5.56 thf(f16060,plain,(
% 30.35/5.56 ((eps1 @ sK3) != (eps5 @ sK3)) | ~spl0_85),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f86,f749])).
% 30.35/5.56 thf(f15936,plain,(
% 30.35/5.56 ~spl0_224 | ~spl0_145 | ~spl0_146),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f15935,f1983,f1977,f7046])).
% 30.35/5.56 thf(f15935,plain,(
% 30.35/5.56 ($false != (eps2 @ sK3)) | (~spl0_145 | ~spl0_146)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f15934,f1978])).
% 30.35/5.56 thf(f15934,plain,(
% 30.35/5.56 ((eps2 @ sK3) != (eps1 @ sK3)) | ~spl0_146),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f79,f1984])).
% 30.35/5.56 thf(f15923,plain,(
% 30.35/5.56 spl0_3 | spl0_2),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f12454,f97,f101])).
% 30.35/5.56 thf(f101,definition,(
% 30.35/5.56 spl0_3 <=> ($true = (sK2 @ (eps4 @ sK2)))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_3])],[avatar_definition])).
% 30.35/5.56 thf(f12454,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (($true = (sK2 @ (eps4 @ sK2))) | ((sK2 @ X1) = $false)) )),
% 30.35/5.56 introduced(definition,[],[choice_axiom])).
% 30.35/5.56 thf(f15912,plain,(
% 30.35/5.56 ~spl0_6 | ~spl0_26 | ~spl0_183),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f15911,f3485,f273,f115])).
% 30.35/5.56 thf(f15911,plain,(
% 30.35/5.56 ((eps2 @ sK2) != $true) | (~spl0_26 | ~spl0_183)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f15910,f275])).
% 30.35/5.56 thf(f275,plain,(
% 30.35/5.56 ($true = (eps3 @ sK2)) | ~spl0_26),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f273])).
% 30.35/5.56 thf(f15907,plain,(
% 30.35/5.56 ~spl0_14 | ~spl0_146 | spl0_210),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f15906])).
% 30.35/5.56 thf(f15906,plain,(
% 30.35/5.56 $false | (~spl0_14 | ~spl0_146 | spl0_210)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f15905,f171])).
% 30.35/5.56 thf(f15905,plain,(
% 30.35/5.56 ((eps3 @ sK3) != $false) | (~spl0_146 | spl0_210)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f5238,f1984])).
% 30.35/5.56 thf(f5238,plain,(
% 30.35/5.56 ($false != (eps3 @ sK4)) | spl0_210),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f5237])).
% 30.35/5.56 thf(f15901,plain,(
% 30.35/5.56 ~spl0_147 | ~spl0_14 | ~spl0_184),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f15900,f3579,f169,f2000])).
% 30.35/5.56 thf(f15900,plain,(
% 30.35/5.56 ((eps4 @ sK3) != $false) | (~spl0_14 | ~spl0_184)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f15899,f171])).
% 30.35/5.56 thf(f15899,plain,(
% 30.35/5.56 ((eps3 @ sK3) != (eps4 @ sK3)) | ~spl0_184),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f82,f3580])).
% 30.35/5.56 thf(f82,plain,(
% 30.35/5.56 ((eps4 @ sK7) != (eps3 @ sK7))),
% 30.35/5.56 inference(negative_extensionality,[status(thm)],[f45])).
% 30.35/5.56 thf(f45,plain,(
% 30.35/5.56 (eps3 != eps4)),
% 30.35/5.56 inference(cnf_transformation,[status(thm)],[f22])).
% 30.35/5.56 thf(f22,plain,(
% 30.35/5.56 (eps3 != eps4)),
% 30.35/5.56 inference(fool_elimination,[status(thm)],[f13])).
% 30.35/5.56 thf(f13,axiom,(
% 30.35/5.56 (eps3 != eps4)),
% 30.35/5.56 file('/export/starexec/sandbox2/tmp/tmp.2wiz2zWszC/DTF2THF_5231.p',choiceax34)).
% 30.35/5.56 thf(f15891,plain,(
% 30.35/5.56 ~spl0_14 | spl0_53 | ~spl0_184),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f15890])).
% 30.35/5.56 thf(f15890,plain,(
% 30.35/5.56 $false | (~spl0_14 | spl0_53 | ~spl0_184)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f15889,f171])).
% 30.35/5.56 thf(f15889,plain,(
% 30.35/5.56 ((eps3 @ sK3) != $false) | (spl0_53 | ~spl0_184)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f510,f3580])).
% 30.35/5.56 thf(f15870,plain,(
% 30.35/5.56 spl0_4 | ~spl0_76 | ~spl0_183),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f15869,f3485,f686,f106])).
% 30.35/5.56 thf(f15869,plain,(
% 30.35/5.56 ((eps2 @ sK2) = $false) | (~spl0_76 | ~spl0_183)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f688,f3486])).
% 30.35/5.56 thf(f15861,plain,(
% 30.35/5.56 ~spl0_233 | spl0_123 | ~spl0_125),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f15859,f1656,f1646,f7396])).
% 30.35/5.56 thf(f1646,definition,(
% 30.35/5.56 spl0_123 <=> ($true = (sK7 @ sK17))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_123])],[avatar_definition])).
% 30.35/5.56 thf(f1656,definition,(
% 30.35/5.56 spl0_125 <=> (sK17 = $false)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_125])],[avatar_definition])).
% 30.35/5.56 thf(f15859,plain,(
% 30.35/5.56 ($true != (sK7 @ $false)) | (spl0_123 | ~spl0_125)),
% 30.35/5.56 inference(backward_demodulation,[status(thm)],[f1647,f1657])).
% 30.35/5.56 thf(f1657,plain,(
% 30.35/5.56 (sK17 = $false) | ~spl0_125),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f1656])).
% 30.35/5.56 thf(f1647,plain,(
% 30.35/5.56 ($true != (sK7 @ sK17)) | spl0_123),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f1646])).
% 30.35/5.56 thf(f15855,plain,(
% 30.35/5.56 spl0_17 | ~spl0_183 | ~spl0_243),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f15854,f10795,f3485,f205])).
% 30.35/5.56 thf(f15854,plain,(
% 30.35/5.56 (sK4 = sK2) | (~spl0_183 | ~spl0_243)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f10796,f3486])).
% 30.35/5.56 thf(f15843,plain,(
% 30.35/5.56 ~spl0_14 | ~spl0_50 | ~spl0_184),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f15842])).
% 30.35/5.56 thf(f15842,plain,(
% 30.35/5.56 $false | (~spl0_14 | ~spl0_50 | ~spl0_184)),
% 30.35/5.56 inference(trivial_inequality_removal,[status(thm)],[f15841])).
% 30.35/5.56 thf(f15841,plain,(
% 30.35/5.56 ($true = $false) | (~spl0_14 | ~spl0_50 | ~spl0_184)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f15840,f171])).
% 30.35/5.56 thf(f15840,plain,(
% 30.35/5.56 ($true = (eps3 @ sK3)) | (~spl0_50 | ~spl0_184)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f496,f3580])).
% 30.35/5.56 thf(f15828,plain,(
% 30.35/5.56 ~spl0_6 | spl0_71 | ~spl0_183),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f15827,f3485,f664,f115])).
% 30.35/5.56 thf(f15827,plain,(
% 30.35/5.56 ((eps2 @ sK2) != $true) | (spl0_71 | ~spl0_183)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f665,f3486])).
% 30.35/5.56 thf(f15819,plain,(
% 30.35/5.56 ~spl0_120 | spl0_186 | ~spl0_191),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f15818,f3741,f3717,f1517])).
% 30.35/5.56 thf(f3717,definition,(
% 30.35/5.56 spl0_186 <=> ($true = (sK7 @ sK66))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_186])],[avatar_definition])).
% 30.35/5.56 thf(f3741,definition,(
% 30.35/5.56 spl0_191 <=> ($true = sK66)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_191])],[avatar_definition])).
% 30.35/5.56 thf(f15818,plain,(
% 30.35/5.56 ($true != (sK7 @ $true)) | (spl0_186 | ~spl0_191)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f3718,f3742])).
% 30.35/5.56 thf(f3742,plain,(
% 30.35/5.56 ($true = sK66) | ~spl0_191),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f3741])).
% 30.35/5.56 thf(f3718,plain,(
% 30.35/5.56 ($true != (sK7 @ sK66)) | spl0_186),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f3717])).
% 30.35/5.56 thf(f15807,plain,(
% 30.35/5.56 spl0_49 | spl0_48),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f9648,f486,f490])).
% 30.35/5.56 thf(f9648,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (((sK7 @ X1) = $false) | ((sK7 @ (eps3 @ sK7)) = $true)) )),
% 30.35/5.56 introduced(definition,[],[choice_axiom])).
% 30.35/5.56 thf(f15795,plain,(
% 30.35/5.56 ~spl0_14 | spl0_38 | ~spl0_142),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f15794])).
% 30.35/5.56 thf(f15794,plain,(
% 30.35/5.56 $false | (~spl0_14 | spl0_38 | ~spl0_142)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f15793,f171])).
% 30.35/5.56 thf(f15793,plain,(
% 30.35/5.56 ((eps3 @ sK3) != $false) | (spl0_38 | ~spl0_142)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f420,f1962])).
% 30.35/5.56 thf(f15789,plain,(
% 30.35/5.56 spl0_181 | ~spl0_124 | ~spl0_126),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f15788,f1664,f1651,f3413])).
% 30.35/5.56 thf(f3413,definition,(
% 30.35/5.56 spl0_181 <=> ((sK7 @ $true) = $false)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_181])],[avatar_definition])).
% 30.35/5.56 thf(f1651,definition,(
% 30.35/5.56 spl0_124 <=> ((sK7 @ sK17) = $false)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_124])],[avatar_definition])).
% 30.35/5.56 thf(f1664,definition,(
% 30.35/5.56 spl0_126 <=> ($true = sK17)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_126])],[avatar_definition])).
% 30.35/5.56 thf(f15788,plain,(
% 30.35/5.56 ((sK7 @ $true) = $false) | (~spl0_124 | ~spl0_126)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f1653,f1665])).
% 30.35/5.56 thf(f1665,plain,(
% 30.35/5.56 ($true = sK17) | ~spl0_126),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f1664])).
% 30.35/5.56 thf(f1653,plain,(
% 30.35/5.56 ((sK7 @ sK17) = $false) | ~spl0_124),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f1651])).
% 30.35/5.56 thf(f15774,plain,(
% 30.35/5.56 ~spl0_41 | ~spl0_294),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f15773])).
% 30.35/5.56 thf(f15773,plain,(
% 30.35/5.56 $false | (~spl0_41 | ~spl0_294)),
% 30.35/5.56 inference(trivial_inequality_removal,[status(thm)],[f15772])).
% 30.35/5.56 thf(f15772,plain,(
% 30.35/5.56 ($true = $false) | (~spl0_41 | ~spl0_294)),
% 30.35/5.56 inference(backward_demodulation,[status(thm)],[f14908,f433])).
% 30.35/5.56 thf(f433,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (((sK6 @ X1) = $false)) ) | ~spl0_41),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f432])).
% 30.35/5.56 thf(f14908,plain,(
% 30.35/5.56 ((sK6 @ sK137) = $true) | ~spl0_294),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f14906])).
% 30.35/5.56 thf(f14906,definition,(
% 30.35/5.56 spl0_294 <=> ((sK6 @ sK137) = $true)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_294])],[avatar_definition])).
% 30.35/5.56 thf(f15769,plain,(
% 30.35/5.56 spl0_24 | ~spl0_77 | ~spl0_128 | ~spl0_183),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f15768])).
% 30.35/5.56 thf(f15768,plain,(
% 30.35/5.56 $false | (spl0_24 | ~spl0_77 | ~spl0_128 | ~spl0_183)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f15767,f3486])).
% 30.35/5.56 thf(f15767,plain,(
% 30.35/5.56 (sK10 != sK2) | (spl0_24 | ~spl0_77 | ~spl0_128)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f15391,f263])).
% 30.35/5.56 thf(f263,plain,(
% 30.35/5.56 ((eps3 @ sK2) != $false) | spl0_24),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f261])).
% 30.35/5.56 thf(f15391,plain,(
% 30.35/5.56 ((eps3 @ sK2) = $false) | (sK10 != sK2) | (~spl0_77 | ~spl0_128)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f13911,f1722])).
% 30.35/5.56 thf(f13911,plain,(
% 30.35/5.56 ((eps3 @ sK2) = $false) | (sK10 != sK5) | (~spl0_77 | ~spl0_128)),
% 30.35/5.56 inference(constrained_superposition,[status(thm)],[f692,f1722])).
% 30.35/5.56 thf(f692,plain,(
% 30.35/5.56 ((eps3 @ sK10) = $false) | ~spl0_77),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f690])).
% 30.35/5.56 thf(f15762,plain,(
% 30.35/5.56 ~spl0_14 | ~spl0_142 | ~spl0_145),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f15761])).
% 30.35/5.56 thf(f15761,plain,(
% 30.35/5.56 $false | (~spl0_14 | ~spl0_142 | ~spl0_145)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f15760,f171])).
% 30.35/5.56 thf(f15760,plain,(
% 30.35/5.56 ((eps3 @ sK3) != $false) | (~spl0_142 | ~spl0_145)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f15759,f1978])).
% 30.35/5.56 thf(f15759,plain,(
% 30.35/5.56 ((eps3 @ sK3) != (eps1 @ sK3)) | ~spl0_142),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f81,f1962])).
% 30.35/5.56 thf(f15758,plain,(
% 30.35/5.56 spl0_41 | ~spl0_10 | ~spl0_142),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f15757,f1961,f151,f432])).
% 30.35/5.56 thf(f15757,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (((sK6 @ X1) = $false)) ) | (~spl0_10 | ~spl0_142)),
% 30.35/5.56 inference(trivial_inequality_removal,[status(thm)],[f15756])).
% 30.35/5.56 thf(f15756,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (((sK6 @ X1) = $false) | ($true = $false)) ) | (~spl0_10 | ~spl0_142)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f15755,f152])).
% 30.35/5.56 thf(f152,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (((sK3 @ X1) = $false)) ) | ~spl0_10),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f151])).
% 30.35/5.56 thf(f15755,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (($true = (sK3 @ (eps3 @ sK3))) | ((sK6 @ X1) = $false)) ) | ~spl0_142),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f14521,f1962])).
% 30.35/5.56 thf(f15731,plain,(
% 30.35/5.56 spl0_134 | ~spl0_32 | ~spl0_128),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f15730,f1721,f335,f1766])).
% 30.35/5.56 thf(f15730,plain,(
% 30.35/5.56 ((eps5 @ sK2) = $true) | (~spl0_32 | ~spl0_128)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f337,f1722])).
% 30.35/5.56 thf(f15727,plain,(
% 30.35/5.56 spl0_6 | ~spl0_15 | ~spl0_17),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f15726,f205,f196,f115])).
% 30.35/5.56 thf(f15726,plain,(
% 30.35/5.56 ((eps2 @ sK2) = $true) | (~spl0_15 | ~spl0_17)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f198,f206])).
% 30.35/5.56 thf(f206,plain,(
% 30.35/5.56 (sK4 = sK2) | ~spl0_17),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f205])).
% 30.35/5.56 thf(f15697,plain,(
% 30.35/5.56 ~spl0_4 | spl0_76 | ~spl0_183),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f15606,f3485,f686,f106])).
% 30.35/5.56 thf(f15606,plain,(
% 30.35/5.56 ((eps2 @ sK2) != $false) | (spl0_76 | ~spl0_183)),
% 30.35/5.56 inference(backward_demodulation,[status(thm)],[f687,f3486])).
% 30.35/5.56 thf(f15695,plain,(
% 30.35/5.56 ~spl0_4 | ~spl0_5),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f15694,f110,f106])).
% 30.35/5.56 thf(f15694,plain,(
% 30.35/5.56 ((eps2 @ sK2) != $false) | ~spl0_5),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f77,f112])).
% 30.35/5.56 thf(f112,plain,(
% 30.35/5.56 ((eps4 @ sK2) = $false) | ~spl0_5),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f110])).
% 30.35/5.56 thf(f15688,plain,(
% 30.35/5.56 ~spl0_25 | ~spl0_5 | ~spl0_128),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f15686,f1721,f110,f267])).
% 30.35/5.56 thf(f15686,plain,(
% 30.35/5.56 ((eps5 @ sK2) != $false) | (~spl0_5 | ~spl0_128)),
% 30.35/5.56 inference(backward_demodulation,[status(thm)],[f15342,f112])).
% 30.35/5.56 thf(f15342,plain,(
% 30.35/5.56 ((eps5 @ sK2) != (eps4 @ sK2)) | ~spl0_128),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f80,f1722])).
% 30.35/5.56 thf(f15679,plain,(
% 30.35/5.56 ~spl0_4 | ~spl0_17 | spl0_20),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f15678,f218,f205,f106])).
% 30.35/5.56 thf(f15678,plain,(
% 30.35/5.56 ((eps2 @ sK2) != $false) | (~spl0_17 | spl0_20)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f219,f206])).
% 30.35/5.56 thf(f15672,plain,(
% 30.35/5.56 spl0_6 | ~spl0_71 | ~spl0_183),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f15607,f3485,f664,f115])).
% 30.35/5.56 thf(f15607,plain,(
% 30.35/5.56 ((eps2 @ sK2) = $true) | (~spl0_71 | ~spl0_183)),
% 30.35/5.56 inference(backward_demodulation,[status(thm)],[f666,f3486])).
% 30.35/5.56 thf(f666,plain,(
% 30.35/5.56 ($true = (eps2 @ sK10)) | ~spl0_71),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f664])).
% 30.35/5.56 thf(f15671,plain,(
% 30.35/5.56 ~spl0_14 | ~spl0_44 | ~spl0_142),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f15670])).
% 30.35/5.56 thf(f15670,plain,(
% 30.35/5.56 $false | (~spl0_14 | ~spl0_44 | ~spl0_142)),
% 30.35/5.56 inference(trivial_inequality_removal,[status(thm)],[f15669])).
% 30.35/5.56 thf(f15669,plain,(
% 30.35/5.56 ($true = $false) | (~spl0_14 | ~spl0_44 | ~spl0_142)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f15668,f171])).
% 30.35/5.56 thf(f15668,plain,(
% 30.35/5.56 ($true = (eps3 @ sK3)) | (~spl0_44 | ~spl0_142)),
% 30.35/5.56 inference(backward_demodulation,[status(thm)],[f448,f1962])).
% 30.35/5.56 thf(f15663,plain,(
% 30.35/5.56 ~spl0_25 | spl0_35 | ~spl0_128),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f15662,f1721,f348,f267])).
% 30.35/5.56 thf(f15662,plain,(
% 30.35/5.56 ((eps5 @ sK2) != $false) | (spl0_35 | ~spl0_128)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f349,f1722])).
% 30.35/5.56 thf(f15659,plain,(
% 30.35/5.56 spl0_24 | ~spl0_77 | ~spl0_183),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f15608,f3485,f690,f261])).
% 30.35/5.56 thf(f15608,plain,(
% 30.35/5.56 ((eps3 @ sK2) = $false) | (~spl0_77 | ~spl0_183)),
% 30.35/5.56 inference(backward_demodulation,[status(thm)],[f692,f3486])).
% 30.35/5.56 thf(f15621,plain,(
% 30.35/5.56 spl0_145 | ~spl0_56 | ~spl0_143),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f15620,f1965,f547,f1977])).
% 30.35/5.56 thf(f15620,plain,(
% 30.35/5.56 ($false = (eps1 @ sK3)) | (~spl0_56 | ~spl0_143)),
% 30.35/5.56 inference(backward_demodulation,[status(thm)],[f549,f1966])).
% 30.35/5.56 thf(f1966,plain,(
% 30.35/5.56 (sK8 = sK3) | ~spl0_143),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f1965])).
% 30.35/5.56 thf(f15598,plain,(
% 30.35/5.56 spl0_183 | ~spl0_17 | ~spl0_243),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f15597,f10795,f205,f3485])).
% 30.35/5.56 thf(f15597,plain,(
% 30.35/5.56 (sK10 = sK2) | (~spl0_17 | ~spl0_243)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f10796,f206])).
% 30.35/5.56 thf(f15557,plain,(
% 30.35/5.56 spl0_208 | spl0_75 | ~spl0_77),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f13787,f690,f682,f5075])).
% 30.35/5.56 thf(f13787,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (((sK10 @ X1) = $false) | ((sK10 @ $false) = $true)) ) | ~spl0_77),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f8842,f692])).
% 30.35/5.56 thf(f8842,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (($true = (sK10 @ (eps3 @ sK10))) | ((sK10 @ X1) = $false)) )),
% 30.35/5.56 introduced(definition,[],[choice_axiom])).
% 30.35/5.56 thf(f15530,plain,(
% 30.35/5.56 ~spl0_253 | spl0_137 | ~spl0_139),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f15529,f1844,f1835,f11847])).
% 30.35/5.56 thf(f1835,definition,(
% 30.35/5.56 spl0_137 <=> ($true = (sK3 @ sK18))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_137])],[avatar_definition])).
% 30.35/5.56 thf(f1844,definition,(
% 30.35/5.56 spl0_139 <=> ($true = sK18)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_139])],[avatar_definition])).
% 30.35/5.56 thf(f15529,plain,(
% 30.35/5.56 ($true != (sK3 @ $true)) | (spl0_137 | ~spl0_139)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f1837,f1845])).
% 30.35/5.56 thf(f1845,plain,(
% 30.35/5.56 ($true = sK18) | ~spl0_139),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f1844])).
% 30.35/5.56 thf(f1837,plain,(
% 30.35/5.56 ($true != (sK3 @ sK18)) | spl0_137),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f1835])).
% 30.35/5.56 thf(f15516,plain,(
% 30.35/5.56 spl0_145 | ~spl0_84 | ~spl0_85),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f15515,f748,f743,f1977])).
% 30.35/5.56 thf(f15515,plain,(
% 30.35/5.56 ($false = (eps1 @ sK3)) | (~spl0_84 | ~spl0_85)),
% 30.35/5.56 inference(backward_demodulation,[status(thm)],[f745,f749])).
% 30.35/5.56 thf(f15514,plain,(
% 30.35/5.56 spl0_75 | spl0_110 | ~spl0_71),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f13781,f664,f1340,f682])).
% 30.35/5.56 thf(f13781,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (($true = (sK10 @ $true)) | ((sK10 @ X1) = $false)) ) | ~spl0_71),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f2198,f666])).
% 30.35/5.56 thf(f2198,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (((sK10 @ (eps2 @ sK10)) = $true) | ((sK10 @ X1) = $false)) )),
% 30.35/5.56 introduced(definition,[],[choice_axiom])).
% 30.35/5.56 thf(f15503,plain,(
% 30.35/5.56 spl0_17 | ~spl0_128 | ~spl0_242),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f15502,f10659,f1721,f205])).
% 30.35/5.56 thf(f15502,plain,(
% 30.35/5.56 (sK4 = sK2) | (~spl0_128 | ~spl0_242)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f10660,f1722])).
% 30.35/5.56 thf(f15498,plain,(
% 30.35/5.56 spl0_17 | ~spl0_130 | ~spl0_209),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f15497,f5233,f1731,f205])).
% 30.35/5.56 thf(f15497,plain,(
% 30.35/5.56 (sK4 = sK2) | (~spl0_130 | ~spl0_209)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f5234,f1732])).
% 30.35/5.56 thf(f15493,plain,(
% 30.35/5.56 spl0_14 | ~spl0_53 | ~spl0_184),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f15488,f3579,f508,f169])).
% 30.35/5.56 thf(f15488,plain,(
% 30.35/5.56 ((eps3 @ sK3) = $false) | (~spl0_53 | ~spl0_184)),
% 30.35/5.56 inference(backward_demodulation,[status(thm)],[f509,f3580])).
% 30.35/5.56 thf(f15482,plain,(
% 30.35/5.56 spl0_110 | ~spl0_71 | ~spl0_78),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f15481,f696,f664,f1340])).
% 30.35/5.56 thf(f15481,plain,(
% 30.35/5.56 ($true = (sK10 @ $true)) | (~spl0_71 | ~spl0_78)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f698,f666])).
% 30.35/5.56 thf(f698,plain,(
% 30.35/5.56 ((sK10 @ (eps2 @ sK10)) = $true) | ~spl0_78),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f696])).
% 30.35/5.56 thf(f15446,plain,(
% 30.35/5.56 spl0_205 | spl0_2),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f13586,f97,f4156])).
% 30.35/5.56 thf(f13586,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (((sK2 @ X1) = $false) | ($true = (sK2 @ (eps5 @ sK2)))) )),
% 30.35/5.56 introduced(definition,[],[choice_axiom])).
% 30.35/5.56 thf(f15425,plain,(
% 30.35/5.56 ~spl0_17 | ~spl0_130 | spl0_209),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f15424,f5233,f1731,f205])).
% 30.35/5.56 thf(f15424,plain,(
% 30.35/5.56 (sK4 != sK2) | (~spl0_130 | spl0_209)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f5235,f1732])).
% 30.35/5.56 thf(f15414,plain,(
% 30.35/5.56 ~spl0_26 | spl0_44 | ~spl0_130),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f15413,f1731,f446,f273])).
% 30.35/5.56 thf(f15413,plain,(
% 30.35/5.56 ($true != (eps3 @ sK2)) | (spl0_44 | ~spl0_130)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f447,f1732])).
% 30.35/5.56 thf(f15408,plain,(
% 30.35/5.56 ~spl0_17 | ~spl0_23 | spl0_146),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f15407,f1983,f257,f205])).
% 30.35/5.56 thf(f15407,plain,(
% 30.35/5.56 (sK4 != sK2) | (~spl0_23 | spl0_146)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f1985,f258])).
% 30.35/5.56 thf(f1985,plain,(
% 30.35/5.56 (sK4 != sK3) | spl0_146),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f1983])).
% 30.35/5.56 thf(f15403,plain,(
% 30.35/5.56 ~spl0_26 | ~spl0_130 | ~spl0_133),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f15402,f1758,f1731,f273])).
% 30.35/5.56 thf(f15402,plain,(
% 30.35/5.56 ($true != (eps3 @ sK2)) | (~spl0_130 | ~spl0_133)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f15027,f1760])).
% 30.35/5.56 thf(f1760,plain,(
% 30.35/5.56 ($true = (eps1 @ sK2)) | ~spl0_133),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f1758])).
% 30.35/5.56 thf(f15027,plain,(
% 30.35/5.56 ((eps3 @ sK2) != (eps1 @ sK2)) | ~spl0_130),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f81,f1732])).
% 30.35/5.56 thf(f15397,plain,(
% 30.35/5.56 spl0_2 | spl0_1),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f12397,f93,f97])).
% 30.35/5.56 thf(f93,definition,(
% 30.35/5.56 spl0_1 <=> ($true = (sK2 @ (eps2 @ sK2)))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_1])],[avatar_definition])).
% 30.35/5.56 thf(f12397,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (((sK2 @ X1) = $false) | ($true = (sK2 @ (eps2 @ sK2)))) )),
% 30.35/5.56 introduced(definition,[],[choice_axiom])).
% 30.35/5.56 thf(f15388,plain,(
% 30.35/5.56 ~spl0_20 | spl0_65 | ~spl0_178),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f15386,f2980,f610,f218])).
% 30.35/5.56 thf(f15386,plain,(
% 30.35/5.56 ((eps2 @ sK4) != $false) | (spl0_65 | ~spl0_178)),
% 30.35/5.56 inference(backward_demodulation,[status(thm)],[f611,f2981])).
% 30.35/5.56 thf(f611,plain,(
% 30.35/5.56 ($false != (eps2 @ sK9)) | spl0_65),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f610])).
% 30.35/5.56 thf(f15380,plain,(
% 30.35/5.56 ~spl0_25 | spl0_13 | ~spl0_23),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f15298,f257,f164,f267])).
% 30.35/5.56 thf(f15298,plain,(
% 30.35/5.56 ((eps5 @ sK2) != $false) | (spl0_13 | ~spl0_23)),
% 30.35/5.56 inference(backward_demodulation,[status(thm)],[f165,f258])).
% 30.35/5.56 thf(f15344,plain,(
% 30.35/5.56 ~spl0_134 | ~spl0_7 | ~spl0_128),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f15343,f1721,f119,f1766])).
% 30.35/5.56 thf(f15343,plain,(
% 30.35/5.56 ((eps5 @ sK2) != $true) | (~spl0_7 | ~spl0_128)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f15342,f121])).
% 30.35/5.56 thf(f15294,plain,(
% 30.35/5.56 spl0_23 | ~spl0_17 | ~spl0_146),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f15293,f1983,f205,f257])).
% 30.35/5.56 thf(f15293,plain,(
% 30.35/5.56 (sK3 = sK2) | (~spl0_17 | ~spl0_146)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f1984,f206])).
% 30.35/5.56 thf(f15270,plain,(
% 30.35/5.56 ~spl0_55 | ~spl0_56),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f15269,f547,f543])).
% 30.35/5.56 thf(f15269,plain,(
% 30.35/5.56 ((eps4 @ sK8) != $false) | ~spl0_56),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f83,f549])).
% 30.35/5.56 thf(f83,plain,(
% 30.35/5.56 ((eps4 @ sK8) != (eps1 @ sK8))),
% 30.35/5.56 inference(negative_extensionality,[status(thm)],[f46])).
% 30.35/5.56 thf(f46,plain,(
% 30.35/5.56 (eps1 != eps4)),
% 30.35/5.56 inference(cnf_transformation,[status(thm)],[f25])).
% 30.35/5.56 thf(f25,plain,(
% 30.35/5.56 (eps1 != eps4)),
% 30.35/5.56 inference(fool_elimination,[status(thm)],[f8])).
% 30.35/5.56 thf(f8,axiom,(
% 30.35/5.56 (eps1 != eps4)),
% 30.35/5.56 file('/export/starexec/sandbox2/tmp/tmp.2wiz2zWszC/DTF2THF_5231.p',choiceax14)).
% 30.35/5.56 thf(f15265,plain,(
% 30.35/5.56 spl0_45 | spl0_46 | ~spl0_118),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f15264])).
% 30.35/5.56 thf(f15264,plain,(
% 30.35/5.56 $false | (spl0_45 | spl0_46 | ~spl0_118)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f15263,f472])).
% 30.35/5.56 thf(f472,plain,(
% 30.35/5.56 (sK16 != $false) | spl0_46),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f471])).
% 30.35/5.56 thf(f471,definition,(
% 30.35/5.56 spl0_46 <=> (sK16 = $false)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_46])],[avatar_definition])).
% 30.35/5.56 thf(f15263,plain,(
% 30.35/5.56 (sK16 = $false) | (spl0_45 | ~spl0_118)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f12502,f469])).
% 30.35/5.56 thf(f469,plain,(
% 30.35/5.56 ((sK3 @ $true) != $false) | spl0_45),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f467])).
% 30.35/5.56 thf(f467,definition,(
% 30.35/5.56 spl0_45 <=> ((sK3 @ $true) = $false)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_45])],[avatar_definition])).
% 30.35/5.56 thf(f12502,plain,(
% 30.35/5.56 ((sK3 @ $true) = $false) | (sK16 = $false) | ~spl0_118),
% 30.35/5.56 inference(fool_paramodulation,[status(thm)],[f1505])).
% 30.35/5.56 thf(f1505,plain,(
% 30.35/5.56 ((sK3 @ sK16) = $false) | ~spl0_118),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f1503])).
% 30.35/5.56 thf(f1503,definition,(
% 30.35/5.56 spl0_118 <=> ((sK3 @ sK16) = $false)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_118])],[avatar_definition])).
% 30.35/5.56 thf(f15224,plain,(
% 30.35/5.56 spl0_10 | ~spl0_8 | ~spl0_45),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f15223,f467,f142,f151])).
% 30.35/5.56 thf(f15223,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (((sK3 @ X1) = $false)) ) | (~spl0_8 | ~spl0_45)),
% 30.35/5.56 inference(trivial_inequality_removal,[status(thm)],[f15222])).
% 30.35/5.56 thf(f15222,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (($true = $false) | ((sK3 @ X1) = $false)) ) | (~spl0_8 | ~spl0_45)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f15221,f468])).
% 30.35/5.56 thf(f468,plain,(
% 30.35/5.56 ((sK3 @ $true) = $false) | ~spl0_45),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f467])).
% 30.35/5.56 thf(f15221,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (($true = (sK3 @ $true)) | ((sK3 @ X1) = $false)) ) | ~spl0_8),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f3431,f144])).
% 30.35/5.56 thf(f3431,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (((sK3 @ X1) = $false) | ($true = (sK3 @ (eps5 @ sK3)))) )),
% 30.35/5.56 introduced(definition,[],[choice_axiom])).
% 30.35/5.56 thf(f15201,plain,(
% 30.35/5.56 ~spl0_8 | ~spl0_11 | ~spl0_45),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f15200])).
% 30.35/5.56 thf(f15200,plain,(
% 30.35/5.56 $false | (~spl0_8 | ~spl0_11 | ~spl0_45)),
% 30.35/5.56 inference(trivial_inequality_removal,[status(thm)],[f15199])).
% 30.35/5.56 thf(f15199,plain,(
% 30.35/5.56 ($true = $false) | (~spl0_8 | ~spl0_11 | ~spl0_45)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f15198,f468])).
% 30.35/5.56 thf(f15198,plain,(
% 30.35/5.56 ($true = (sK3 @ $true)) | (~spl0_8 | ~spl0_11)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f156,f144])).
% 30.35/5.56 thf(f15113,plain,(
% 30.35/5.56 spl0_37 | ~spl0_12 | ~spl0_14),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f15112,f169,f159,f373])).
% 30.35/5.56 thf(f159,definition,(
% 30.35/5.56 spl0_12 <=> ($true = (sK3 @ (eps3 @ sK3)))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_12])],[avatar_definition])).
% 30.35/5.56 thf(f15112,plain,(
% 30.35/5.56 ((sK3 @ $false) = $true) | (~spl0_12 | ~spl0_14)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f161,f171])).
% 30.35/5.56 thf(f161,plain,(
% 30.35/5.56 ($true = (sK3 @ (eps3 @ sK3))) | ~spl0_12),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f159])).
% 30.35/5.56 thf(f15099,plain,(
% 30.35/5.56 spl0_13 | ~spl0_64 | ~spl0_66),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f15098])).
% 30.35/5.56 thf(f15098,plain,(
% 30.35/5.56 $false | (spl0_13 | ~spl0_64 | ~spl0_66)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f15097,f165])).
% 30.35/5.56 thf(f15097,plain,(
% 30.35/5.56 ($false = (eps5 @ sK3)) | (~spl0_64 | ~spl0_66)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f607,f616])).
% 30.35/5.56 thf(f607,plain,(
% 30.35/5.56 ((eps5 @ sK9) = $false) | ~spl0_64),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f605])).
% 30.35/5.56 thf(f15095,plain,(
% 30.35/5.56 ~spl0_8 | ~spl0_66 | ~spl0_71 | ~spl0_73),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f15094])).
% 30.35/5.56 thf(f15094,plain,(
% 30.35/5.56 $false | (~spl0_8 | ~spl0_66 | ~spl0_71 | ~spl0_73)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f15036,f15074])).
% 30.35/5.56 thf(f15074,plain,(
% 30.35/5.56 ($true = (eps2 @ sK3)) | (~spl0_71 | ~spl0_73)),
% 30.35/5.56 inference(backward_demodulation,[status(thm)],[f666,f674])).
% 30.35/5.56 thf(f674,plain,(
% 30.35/5.56 (sK10 = sK3) | ~spl0_73),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f673])).
% 30.35/5.56 thf(f673,definition,(
% 30.35/5.56 spl0_73 <=> (sK10 = sK3)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_73])],[avatar_definition])).
% 30.35/5.56 thf(f15036,plain,(
% 30.35/5.56 ($true != (eps2 @ sK3)) | (~spl0_8 | ~spl0_66)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f15035,f144])).
% 30.35/5.56 thf(f15035,plain,(
% 30.35/5.56 ((eps2 @ sK3) != (eps5 @ sK3)) | ~spl0_66),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f84,f616])).
% 30.35/5.56 thf(f15079,plain,(
% 30.35/5.56 ~spl0_71 | ~spl0_73 | ~spl0_224),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f15078])).
% 30.35/5.56 thf(f15078,plain,(
% 30.35/5.56 $false | (~spl0_71 | ~spl0_73 | ~spl0_224)),
% 30.35/5.56 inference(trivial_inequality_removal,[status(thm)],[f15077])).
% 30.35/5.56 thf(f15077,plain,(
% 30.35/5.56 ($true = $false) | (~spl0_71 | ~spl0_73 | ~spl0_224)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f15074,f7047])).
% 30.35/5.56 thf(f7047,plain,(
% 30.35/5.56 ($false = (eps2 @ sK3)) | ~spl0_224),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f7046])).
% 30.35/5.56 thf(f15060,plain,(
% 30.35/5.56 spl0_26 | ~spl0_44 | ~spl0_130),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f14973,f1731,f446,f273])).
% 30.35/5.56 thf(f14973,plain,(
% 30.35/5.56 ($true = (eps3 @ sK2)) | (~spl0_44 | ~spl0_130)),
% 30.35/5.56 inference(backward_demodulation,[status(thm)],[f448,f1732])).
% 30.35/5.56 thf(f15040,plain,(
% 30.35/5.56 spl0_23 | ~spl0_73 | ~spl0_183),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f15039])).
% 30.35/5.56 thf(f15039,plain,(
% 30.35/5.56 $false | (spl0_23 | ~spl0_73 | ~spl0_183)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f15038,f259])).
% 30.35/5.56 thf(f259,plain,(
% 30.35/5.56 (sK3 != sK2) | spl0_23),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f257])).
% 30.35/5.56 thf(f15038,plain,(
% 30.35/5.56 (sK3 = sK2) | (~spl0_73 | ~spl0_183)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f674,f3486])).
% 30.35/5.56 thf(f15020,plain,(
% 30.35/5.56 ~spl0_75 | ~spl0_289),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f15019])).
% 30.35/5.56 thf(f15019,plain,(
% 30.35/5.56 $false | (~spl0_75 | ~spl0_289)),
% 30.35/5.56 inference(trivial_inequality_removal,[status(thm)],[f15018])).
% 30.35/5.56 thf(f15018,plain,(
% 30.35/5.56 ($true = $false) | (~spl0_75 | ~spl0_289)),
% 30.35/5.56 inference(backward_demodulation,[status(thm)],[f14320,f683])).
% 30.35/5.56 thf(f14320,plain,(
% 30.35/5.56 ($true = (sK10 @ sK140)) | ~spl0_289),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f14318])).
% 30.35/5.56 thf(f14318,definition,(
% 30.35/5.56 spl0_289 <=> ($true = (sK10 @ sK140))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_289])],[avatar_definition])).
% 30.35/5.56 thf(f14990,plain,(
% 30.35/5.56 spl0_75 | ~spl0_77 | ~spl0_148 | ~spl0_152),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f14989,f2170,f2066,f690,f682])).
% 30.35/5.56 thf(f2066,definition,(
% 30.35/5.56 spl0_148 <=> ((sK10 @ sK19) = $false)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_148])],[avatar_definition])).
% 30.35/5.56 thf(f14989,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (((sK10 @ X1) = $false)) ) | (~spl0_77 | ~spl0_148 | ~spl0_152)),
% 30.35/5.56 inference(trivial_inequality_removal,[status(thm)],[f14988])).
% 30.35/5.56 thf(f14988,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (((sK10 @ X1) = $false) | ($true = $false)) ) | (~spl0_77 | ~spl0_148 | ~spl0_152)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f13787,f14967])).
% 30.35/5.56 thf(f14967,plain,(
% 30.35/5.56 ((sK10 @ $false) = $false) | (~spl0_148 | ~spl0_152)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f2068,f2172])).
% 30.35/5.56 thf(f2172,plain,(
% 30.35/5.56 (sK19 = $false) | ~spl0_152),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f2170])).
% 30.35/5.56 thf(f2068,plain,(
% 30.35/5.56 ((sK10 @ sK19) = $false) | ~spl0_148),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f2066])).
% 30.35/5.56 thf(f14980,plain,(
% 30.35/5.56 ~spl0_24 | ~spl0_44 | ~spl0_130),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f14979])).
% 30.35/5.56 thf(f14979,plain,(
% 30.35/5.56 $false | (~spl0_24 | ~spl0_44 | ~spl0_130)),
% 30.35/5.56 inference(trivial_inequality_removal,[status(thm)],[f14978])).
% 30.35/5.56 thf(f14978,plain,(
% 30.35/5.56 ($true = $false) | (~spl0_24 | ~spl0_44 | ~spl0_130)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f14973,f262])).
% 30.35/5.56 thf(f262,plain,(
% 30.35/5.56 ((eps3 @ sK2) = $false) | ~spl0_24),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f261])).
% 30.35/5.56 thf(f14940,plain,(
% 30.35/5.56 ~spl0_147 | ~spl0_143 | ~spl0_145),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f14939,f1977,f1965,f2000])).
% 30.35/5.56 thf(f14939,plain,(
% 30.35/5.56 ((eps4 @ sK3) != $false) | (~spl0_143 | ~spl0_145)),
% 30.35/5.56 inference(backward_demodulation,[status(thm)],[f14464,f1978])).
% 30.35/5.56 thf(f14464,plain,(
% 30.35/5.56 ((eps4 @ sK3) != (eps1 @ sK3)) | ~spl0_143),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f83,f1966])).
% 30.35/5.56 thf(f14924,plain,(
% 30.35/5.56 ~spl0_92 | ~spl0_93 | ~spl0_109 | spl0_130 | ~spl0_180),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f14923])).
% 30.35/5.56 thf(f14923,plain,(
% 30.35/5.56 $false | (~spl0_92 | ~spl0_93 | ~spl0_109 | spl0_130 | ~spl0_180)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f14922,f1325])).
% 30.35/5.56 thf(f1325,plain,(
% 30.35/5.56 ($true = (sK2 @ $false)) | ~spl0_109),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f1323])).
% 30.35/5.56 thf(f14922,plain,(
% 30.35/5.56 ($true != (sK2 @ $false)) | (~spl0_92 | ~spl0_93 | spl0_130 | ~spl0_180)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f14921,f14916])).
% 30.35/5.56 thf(f14916,plain,(
% 30.35/5.56 (sK137 = $false) | (~spl0_93 | spl0_130 | ~spl0_180)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f14915,f3062])).
% 30.35/5.56 thf(f3062,plain,(
% 30.35/5.56 ($true = (sK2 @ $true)) | ~spl0_180),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f3060])).
% 30.35/5.56 thf(f14915,plain,(
% 30.35/5.56 (sK137 = $false) | ($true != (sK2 @ $true)) | (~spl0_93 | spl0_130)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f14897,f1019])).
% 30.35/5.56 thf(f14897,plain,(
% 30.35/5.56 (sK137 = $false) | ((sK2 @ $true) != (sK6 @ $true)) | spl0_130),
% 30.35/5.56 inference(fool_paramodulation,[status(thm)],[f12388])).
% 30.35/5.56 thf(f12388,plain,(
% 30.35/5.56 ((sK6 @ sK137) != (sK2 @ sK137)) | spl0_130),
% 30.35/5.56 inference(negative_extensionality,[status(thm)],[f1733])).
% 30.35/5.56 thf(f1733,plain,(
% 30.35/5.56 (sK6 != sK2) | spl0_130),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f1731])).
% 30.35/5.56 thf(f14921,plain,(
% 30.35/5.56 ($true != (sK2 @ sK137)) | (~spl0_92 | ~spl0_93 | spl0_130 | ~spl0_180)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f14900,f14916])).
% 30.35/5.56 thf(f14900,plain,(
% 30.35/5.56 ($true != (sK2 @ sK137)) | (sK137 != $false) | (~spl0_92 | spl0_130)),
% 30.35/5.56 inference(constrained_superposition,[status(thm)],[f12388,f1011])).
% 30.35/5.56 thf(f14909,plain,(
% 30.35/5.56 spl0_293 | spl0_294 | spl0_130),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f14895,f1731,f14906,f14902])).
% 30.35/5.56 thf(f14895,plain,(
% 30.35/5.56 ((sK6 @ sK137) = $true) | ($true = (sK2 @ sK137)) | spl0_130),
% 30.35/5.56 inference(binary_proxy_clausification,[status(thm)],[f12388])).
% 30.35/5.56 thf(f14492,plain,(
% 30.35/5.56 spl0_125 | spl0_126),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f14491])).
% 30.35/5.56 thf(f14491,plain,(
% 30.35/5.56 $false | (spl0_125 | spl0_126)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f14490,f1658])).
% 30.35/5.56 thf(f1658,plain,(
% 30.35/5.56 (sK17 != $false) | spl0_125),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f1656])).
% 30.35/5.56 thf(f14490,plain,(
% 30.35/5.56 (sK17 = $false) | spl0_126),
% 30.35/5.56 inference(trivial_inequality_removal,[status(thm)],[f14489])).
% 30.35/5.56 thf(f14489,plain,(
% 30.35/5.56 (sK17 = $false) | ($true != $true) | spl0_126),
% 30.35/5.56 inference(fool_paramodulation,[status(thm)],[f1666])).
% 30.35/5.56 thf(f1666,plain,(
% 30.35/5.56 ($true != sK17) | spl0_126),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f1664])).
% 30.35/5.56 thf(f14474,plain,(
% 30.35/5.56 spl0_147 | ~spl0_55 | ~spl0_143),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f14473,f1965,f543,f2000])).
% 30.35/5.56 thf(f14473,plain,(
% 30.35/5.56 ((eps4 @ sK3) = $false) | (~spl0_55 | ~spl0_143)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f545,f1966])).
% 30.35/5.56 thf(f14462,plain,(
% 30.35/5.56 ~spl0_145 | spl0_56 | ~spl0_143),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f14461,f1965,f547,f1977])).
% 30.35/5.56 thf(f14461,plain,(
% 30.35/5.56 ($false != (eps1 @ sK3)) | (spl0_56 | ~spl0_143)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f548,f1966])).
% 30.35/5.56 thf(f548,plain,(
% 30.35/5.56 ((eps1 @ sK8) != $false) | spl0_56),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f547])).
% 30.35/5.56 thf(f14456,plain,(
% 30.35/5.56 ~spl0_48 | ~spl0_232),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f14455])).
% 30.35/5.56 thf(f14455,plain,(
% 30.35/5.56 $false | (~spl0_48 | ~spl0_232)),
% 30.35/5.56 inference(trivial_inequality_removal,[status(thm)],[f14454])).
% 30.35/5.56 thf(f14454,plain,(
% 30.35/5.56 ($true = $false) | (~spl0_48 | ~spl0_232)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f7313,f487])).
% 30.35/5.56 thf(f487,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (((sK7 @ X1) = $false)) ) | ~spl0_48),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f486])).
% 30.35/5.56 thf(f7313,plain,(
% 30.35/5.56 ($true = (sK7 @ sK68)) | ~spl0_232),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f7311])).
% 30.35/5.56 thf(f7311,definition,(
% 30.35/5.56 spl0_232 <=> ($true = (sK7 @ sK68))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_232])],[avatar_definition])).
% 30.35/5.56 thf(f14426,plain,(
% 30.35/5.56 spl0_48 | ~spl0_54 | spl0_120),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f14425,f1517,f513,f486])).
% 30.35/5.56 thf(f14425,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (((sK7 @ X1) = $false)) ) | (~spl0_54 | spl0_120)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f14424,f1518])).
% 30.35/5.56 thf(f1518,plain,(
% 30.35/5.56 ($true != (sK7 @ $true)) | spl0_120),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f1517])).
% 30.35/5.56 thf(f14424,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (($true = (sK7 @ $true)) | ((sK7 @ X1) = $false)) ) | ~spl0_54),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f9836,f515])).
% 30.35/5.56 thf(f9836,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (((sK7 @ X1) = $false) | ($true = (sK7 @ (eps4 @ sK7)))) )),
% 30.35/5.56 introduced(definition,[],[choice_axiom])).
% 30.35/5.56 thf(f14347,plain,(
% 30.35/5.56 ~spl0_109 | spl0_287 | ~spl0_290),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f14346])).
% 30.35/5.56 thf(f14346,plain,(
% 30.35/5.56 $false | (~spl0_109 | spl0_287 | ~spl0_290)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f14345,f1325])).
% 30.35/5.56 thf(f14345,plain,(
% 30.35/5.56 ($true != (sK2 @ $false)) | (spl0_287 | ~spl0_290)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f14311,f14324])).
% 30.35/5.56 thf(f14324,plain,(
% 30.35/5.56 (sK140 = $false) | ~spl0_290),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f14323])).
% 30.35/5.56 thf(f14323,definition,(
% 30.35/5.56 spl0_290 <=> (sK140 = $false)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_290])],[avatar_definition])).
% 30.35/5.56 thf(f14311,plain,(
% 30.35/5.56 ($true != (sK2 @ sK140)) | spl0_287),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f14309])).
% 30.35/5.56 thf(f14334,plain,(
% 30.35/5.56 spl0_290 | ~spl0_110 | ~spl0_180 | spl0_183),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f14333,f3485,f3060,f1340,f14323])).
% 30.35/5.56 thf(f14333,plain,(
% 30.35/5.56 (sK140 = $false) | (~spl0_110 | ~spl0_180 | spl0_183)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f14332,f1342])).
% 30.35/5.56 thf(f14332,plain,(
% 30.35/5.56 (sK140 = $false) | ($true != (sK10 @ $true)) | (~spl0_180 | spl0_183)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f14304,f3062])).
% 30.35/5.56 thf(f14304,plain,(
% 30.35/5.56 (sK140 = $false) | ((sK10 @ $true) != (sK2 @ $true)) | spl0_183),
% 30.35/5.56 inference(fool_paramodulation,[status(thm)],[f12517])).
% 30.35/5.56 thf(f12517,plain,(
% 30.35/5.56 ((sK10 @ sK140) != (sK2 @ sK140)) | spl0_183),
% 30.35/5.56 inference(negative_extensionality,[status(thm)],[f3487])).
% 30.35/5.56 thf(f3487,plain,(
% 30.35/5.56 (sK10 != sK2) | spl0_183),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f3485])).
% 30.35/5.56 thf(f14326,plain,(
% 30.35/5.56 ~spl0_287 | ~spl0_290 | spl0_183 | ~spl0_208),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f14306,f5075,f3485,f14323,f14309])).
% 30.35/5.56 thf(f14306,plain,(
% 30.35/5.56 ($true != (sK2 @ sK140)) | (sK140 != $false) | (spl0_183 | ~spl0_208)),
% 30.35/5.56 inference(constrained_superposition,[status(thm)],[f12517,f5077])).
% 30.35/5.56 thf(f14321,plain,(
% 30.35/5.56 spl0_289 | spl0_287 | spl0_183),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f14302,f3485,f14309,f14318])).
% 30.35/5.56 thf(f14302,plain,(
% 30.35/5.56 ($true = (sK2 @ sK140)) | ($true = (sK10 @ sK140)) | spl0_183),
% 30.35/5.56 inference(binary_proxy_clausification,[status(thm)],[f12517])).
% 30.35/5.56 thf(f14138,plain,(
% 30.35/5.56 ~spl0_109 | ~spl0_111 | spl0_132 | ~spl0_285),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f14137])).
% 30.35/5.56 thf(f14137,plain,(
% 30.35/5.56 $false | (~spl0_109 | ~spl0_111 | spl0_132 | ~spl0_285)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f14136,f1409])).
% 30.35/5.56 thf(f14136,plain,(
% 30.35/5.56 ((sK11 @ $false) != $true) | (~spl0_109 | spl0_132 | ~spl0_285)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f14135,f1325])).
% 30.35/5.56 thf(f14135,plain,(
% 30.35/5.56 ((sK11 @ $false) != (sK2 @ $false)) | (spl0_132 | ~spl0_285)),
% 30.35/5.56 inference(backward_demodulation,[status(thm)],[f12399,f14123])).
% 30.35/5.56 thf(f14123,plain,(
% 30.35/5.56 (sK138 = $false) | ~spl0_285),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f14122])).
% 30.35/5.56 thf(f14122,definition,(
% 30.35/5.56 spl0_285 <=> (sK138 = $false)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_285])],[avatar_definition])).
% 30.35/5.56 thf(f12399,plain,(
% 30.35/5.56 ((sK2 @ sK138) != (sK11 @ sK138)) | spl0_132),
% 30.35/5.56 inference(negative_extensionality,[status(thm)],[f1744])).
% 30.35/5.56 thf(f1744,plain,(
% 30.35/5.56 (sK11 != sK2) | spl0_132),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f1742])).
% 30.35/5.56 thf(f14133,plain,(
% 30.35/5.56 spl0_285 | spl0_132 | ~spl0_169 | ~spl0_180),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f14132,f3060,f2743,f1742,f14122])).
% 30.35/5.56 thf(f14132,plain,(
% 30.35/5.56 (sK138 = $false) | (spl0_132 | ~spl0_169 | ~spl0_180)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f14131,f3062])).
% 30.35/5.56 thf(f14131,plain,(
% 30.35/5.56 (sK138 = $false) | ($true != (sK2 @ $true)) | (spl0_132 | ~spl0_169)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f14098,f2744])).
% 30.35/5.56 thf(f14098,plain,(
% 30.35/5.56 ((sK2 @ $true) != (sK11 @ $true)) | (sK138 = $false) | spl0_132),
% 30.35/5.56 inference(fool_paramodulation,[status(thm)],[f12399])).
% 30.35/5.56 thf(f14025,plain,(
% 30.35/5.56 ~spl0_10 | ~spl0_41 | spl0_142),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f14024])).
% 30.35/5.56 thf(f14024,plain,(
% 30.35/5.56 $false | (~spl0_10 | ~spl0_41 | spl0_142)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f14023,f433])).
% 30.35/5.56 thf(f14023,plain,(
% 30.35/5.56 ((sK6 @ $false) != $false) | (~spl0_10 | ~spl0_41 | spl0_142)),
% 30.35/5.56 inference(backward_demodulation,[status(thm)],[f12413,f14022])).
% 30.35/5.56 thf(f14022,plain,(
% 30.35/5.56 (sK139 = $false) | (~spl0_10 | ~spl0_41 | spl0_142)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f12556,f433])).
% 30.35/5.56 thf(f12556,plain,(
% 30.35/5.56 (sK139 = $false) | ((sK6 @ $true) != $false) | (~spl0_10 | spl0_142)),
% 30.35/5.56 inference(fool_paramodulation,[status(thm)],[f12413])).
% 30.35/5.56 thf(f12413,plain,(
% 30.35/5.56 ($false != (sK6 @ sK139)) | (~spl0_10 | spl0_142)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f12407,f152])).
% 30.35/5.56 thf(f12407,plain,(
% 30.35/5.56 ((sK3 @ sK139) != (sK6 @ sK139)) | spl0_142),
% 30.35/5.56 inference(negative_extensionality,[status(thm)],[f1963])).
% 30.35/5.56 thf(f14013,plain,(
% 30.35/5.56 spl0_93 | spl0_41 | ~spl0_44),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f11998,f446,f432,f1017])).
% 30.35/5.56 thf(f11998,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (((sK6 @ X1) = $false) | ($true = (sK6 @ $true))) ) | ~spl0_44),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f9387,f448])).
% 30.35/5.56 thf(f9387,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (($true = (sK6 @ (eps3 @ sK6))) | ((sK6 @ X1) = $false)) )),
% 30.35/5.56 introduced(definition,[],[choice_axiom])).
% 30.35/5.56 thf(f14012,plain,(
% 30.35/5.56 ~spl0_92 | ~spl0_275 | spl0_276),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f14011])).
% 30.35/5.56 thf(f14011,plain,(
% 30.35/5.56 $false | (~spl0_92 | ~spl0_275 | spl0_276)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f14007,f1011])).
% 30.35/5.56 thf(f14007,plain,(
% 30.35/5.56 ((sK6 @ $false) != $true) | (~spl0_275 | spl0_276)),
% 30.35/5.56 inference(backward_demodulation,[status(thm)],[f13977,f13972])).
% 30.35/5.56 thf(f13972,plain,(
% 30.35/5.56 (sK146 = $false) | ~spl0_275),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f13971])).
% 30.35/5.56 thf(f13971,definition,(
% 30.35/5.56 spl0_275 <=> (sK146 = $false)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_275])],[avatar_definition])).
% 30.35/5.56 thf(f13977,plain,(
% 30.35/5.56 ($true != (sK6 @ sK146)) | spl0_276),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f13975])).
% 30.35/5.56 thf(f13975,definition,(
% 30.35/5.56 spl0_276 <=> ($true = (sK6 @ sK146))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_276])],[avatar_definition])).
% 30.35/5.56 thf(f13996,plain,(
% 30.35/5.56 spl0_275 | spl0_38 | ~spl0_77 | ~spl0_93 | ~spl0_110),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f13995,f1340,f1017,f690,f419,f13971])).
% 30.35/5.56 thf(f13995,plain,(
% 30.35/5.56 (sK146 = $false) | (spl0_38 | ~spl0_77 | ~spl0_93 | ~spl0_110)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f13994,f1342])).
% 30.35/5.56 thf(f13994,plain,(
% 30.35/5.56 ($true != (sK10 @ $true)) | (sK146 = $false) | (spl0_38 | ~spl0_77 | ~spl0_93)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f13966,f1019])).
% 30.35/5.56 thf(f13966,plain,(
% 30.35/5.56 ((sK10 @ $true) != (sK6 @ $true)) | (sK146 = $false) | (spl0_38 | ~spl0_77)),
% 30.35/5.56 inference(fool_paramodulation,[status(thm)],[f13943])).
% 30.35/5.56 thf(f13943,plain,(
% 30.35/5.56 ((sK6 @ sK146) != (sK10 @ sK146)) | (spl0_38 | ~spl0_77)),
% 30.35/5.56 inference(negative_extensionality,[status(thm)],[f13930])).
% 30.35/5.56 thf(f13930,plain,(
% 30.35/5.56 (sK10 != sK6) | (spl0_38 | ~spl0_77)),
% 30.35/5.56 inference(trivial_inequality_removal,[status(thm)],[f13920])).
% 30.35/5.56 thf(f13920,plain,(
% 30.35/5.56 ($false != $false) | (sK10 != sK6) | (spl0_38 | ~spl0_77)),
% 30.35/5.56 inference(constrained_superposition,[status(thm)],[f420,f692])).
% 30.35/5.56 thf(f13978,plain,(
% 30.35/5.56 ~spl0_275 | ~spl0_276 | spl0_38 | ~spl0_77 | ~spl0_208),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f13968,f5075,f690,f419,f13975,f13971])).
% 30.35/5.56 thf(f13968,plain,(
% 30.35/5.56 (sK146 != $false) | ($true != (sK6 @ sK146)) | (spl0_38 | ~spl0_77 | ~spl0_208)),
% 30.35/5.56 inference(constrained_superposition,[status(thm)],[f13943,f5077])).
% 30.35/5.56 thf(f13790,plain,(
% 30.35/5.56 spl0_208 | ~spl0_74 | ~spl0_77),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f13762,f690,f678,f5075])).
% 30.35/5.56 thf(f13762,plain,(
% 30.35/5.56 ((sK10 @ $false) = $true) | (~spl0_74 | ~spl0_77)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f680,f692])).
% 30.35/5.56 thf(f13714,plain,(
% 30.35/5.56 ~spl0_10 | ~spl0_137),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f13713])).
% 30.35/5.56 thf(f13713,plain,(
% 30.35/5.56 $false | (~spl0_10 | ~spl0_137)),
% 30.35/5.56 inference(trivial_inequality_removal,[status(thm)],[f13712])).
% 30.35/5.56 thf(f13712,plain,(
% 30.35/5.56 ($true = $false) | (~spl0_10 | ~spl0_137)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f1836,f152])).
% 30.35/5.56 thf(f1836,plain,(
% 30.35/5.56 ($true = (sK3 @ sK18)) | ~spl0_137),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f1835])).
% 30.35/5.56 thf(f13673,plain,(
% 30.35/5.56 ~spl0_91 | ~spl0_109 | spl0_129 | ~spl0_270),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f13672])).
% 30.35/5.56 thf(f13672,plain,(
% 30.35/5.56 $false | (~spl0_91 | ~spl0_109 | spl0_129 | ~spl0_270)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f13671,f995])).
% 30.35/5.56 thf(f13671,plain,(
% 30.35/5.56 ($true != (sK9 @ $false)) | (~spl0_109 | spl0_129 | ~spl0_270)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f13670,f1325])).
% 30.35/5.56 thf(f13670,plain,(
% 30.35/5.56 ((sK9 @ $false) != (sK2 @ $false)) | (spl0_129 | ~spl0_270)),
% 30.35/5.56 inference(backward_demodulation,[status(thm)],[f12380,f13649])).
% 30.35/5.56 thf(f13649,plain,(
% 30.35/5.56 (sK136 = $false) | ~spl0_270),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f13648])).
% 30.35/5.56 thf(f13648,definition,(
% 30.35/5.56 spl0_270 <=> (sK136 = $false)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_270])],[avatar_definition])).
% 30.35/5.56 thf(f12380,plain,(
% 30.35/5.56 ((sK2 @ sK136) != (sK9 @ sK136)) | spl0_129),
% 30.35/5.56 inference(negative_extensionality,[status(thm)],[f1727])).
% 30.35/5.56 thf(f1727,plain,(
% 30.35/5.56 (sK9 != sK2) | spl0_129),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f1725])).
% 30.35/5.56 thf(f13654,plain,(
% 30.35/5.56 spl0_270 | ~spl0_90 | spl0_129 | ~spl0_180),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f13653,f3060,f1725,f987,f13648])).
% 30.35/5.56 thf(f13653,plain,(
% 30.35/5.56 (sK136 = $false) | (~spl0_90 | spl0_129 | ~spl0_180)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f13652,f3062])).
% 30.35/5.56 thf(f13652,plain,(
% 30.35/5.56 (sK136 = $false) | ($true != (sK2 @ $true)) | (~spl0_90 | spl0_129)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f13628,f989])).
% 30.35/5.56 thf(f13628,plain,(
% 30.35/5.56 ((sK2 @ $true) != (sK9 @ $true)) | (sK136 = $false) | spl0_129),
% 30.35/5.56 inference(fool_paramodulation,[status(thm)],[f12380])).
% 30.35/5.56 thf(f13420,plain,(
% 30.35/5.56 ~spl0_109 | spl0_262 | ~spl0_263),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f13419])).
% 30.35/5.56 thf(f13419,plain,(
% 30.35/5.56 $false | (~spl0_109 | spl0_262 | ~spl0_263)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f13418,f1325])).
% 30.35/5.56 thf(f13418,plain,(
% 30.35/5.56 ($true != (sK2 @ $false)) | (spl0_262 | ~spl0_263)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f13386,f13389])).
% 30.35/5.56 thf(f13389,plain,(
% 30.35/5.56 (sK124 = $false) | ~spl0_263),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f13388])).
% 30.35/5.56 thf(f13388,definition,(
% 30.35/5.56 spl0_263 <=> (sK124 = $false)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_263])],[avatar_definition])).
% 30.35/5.56 thf(f13386,plain,(
% 30.35/5.56 ((sK2 @ sK124) != $true) | spl0_262),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f13384])).
% 30.35/5.56 thf(f13384,definition,(
% 30.35/5.56 spl0_262 <=> ((sK2 @ sK124) = $true)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_262])],[avatar_definition])).
% 30.35/5.56 thf(f13394,plain,(
% 30.35/5.56 spl0_263 | ~spl0_121 | spl0_128 | ~spl0_180),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f13393,f3060,f1721,f1531,f13388])).
% 30.35/5.56 thf(f13393,plain,(
% 30.35/5.56 (sK124 = $false) | (~spl0_121 | spl0_128 | ~spl0_180)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f13392,f3062])).
% 30.35/5.56 thf(f13392,plain,(
% 30.35/5.56 ($true != (sK2 @ $true)) | (sK124 = $false) | (~spl0_121 | spl0_128)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f13369,f1533])).
% 30.35/5.56 thf(f13369,plain,(
% 30.35/5.56 (sK124 = $false) | ((sK2 @ $true) != (sK5 @ $true)) | spl0_128),
% 30.35/5.56 inference(fool_paramodulation,[status(thm)],[f10381])).
% 30.35/5.56 thf(f10381,plain,(
% 30.35/5.56 ((sK2 @ sK124) != (sK5 @ sK124)) | spl0_128),
% 30.35/5.56 inference(negative_extensionality,[status(thm)],[f1723])).
% 30.35/5.56 thf(f1723,plain,(
% 30.35/5.56 (sK2 != sK5) | spl0_128),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f1721])).
% 30.35/5.56 thf(f13391,plain,(
% 30.35/5.56 ~spl0_262 | ~spl0_263 | ~spl0_101 | spl0_128),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f13373,f1721,f1229,f13388,f13384])).
% 30.35/5.56 thf(f13373,plain,(
% 30.35/5.56 (sK124 != $false) | ((sK2 @ sK124) != $true) | (~spl0_101 | spl0_128)),
% 30.35/5.56 inference(constrained_superposition,[status(thm)],[f10381,f1231])).
% 30.35/5.56 thf(f13157,plain,(
% 30.35/5.56 ~spl0_39 | ~spl0_80 | ~spl0_92 | ~spl0_93 | ~spl0_111 | ~spl0_169),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f13156])).
% 30.35/5.56 thf(f13156,plain,(
% 30.35/5.56 $false | (~spl0_39 | ~spl0_80 | ~spl0_92 | ~spl0_93 | ~spl0_111 | ~spl0_169)),
% 30.35/5.56 inference(trivial_inequality_removal,[status(thm)],[f13155])).
% 30.35/5.56 thf(f13155,plain,(
% 30.35/5.56 ($true = $false) | (~spl0_39 | ~spl0_80 | ~spl0_92 | ~spl0_93 | ~spl0_111 | ~spl0_169)),
% 30.35/5.56 inference(backward_demodulation,[status(thm)],[f1409,f13154])).
% 30.35/5.56 thf(f13154,plain,(
% 30.35/5.56 ((sK11 @ $false) = $false) | (~spl0_39 | ~spl0_80 | ~spl0_92 | ~spl0_93 | ~spl0_169)),
% 30.35/5.56 inference(trivial_inequality_removal,[status(thm)],[f13153])).
% 30.35/5.56 thf(f13153,plain,(
% 30.35/5.56 ($true = $false) | ((sK11 @ $false) = $false) | (~spl0_39 | ~spl0_80 | ~spl0_92 | ~spl0_93 | ~spl0_169)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f13152,f1011])).
% 30.35/5.56 thf(f13152,plain,(
% 30.35/5.56 ((sK6 @ $false) = $false) | ((sK11 @ $false) = $false) | (~spl0_39 | ~spl0_80 | ~spl0_93 | ~spl0_169)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f13151,f13142])).
% 30.35/5.56 thf(f13142,plain,(
% 30.35/5.56 (sK144 = $false) | (~spl0_39 | ~spl0_80 | ~spl0_93 | ~spl0_169)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f13141,f1019])).
% 30.35/5.56 thf(f13141,plain,(
% 30.35/5.56 (sK144 = $false) | ($true != (sK6 @ $true)) | (~spl0_39 | ~spl0_80 | ~spl0_169)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f13118,f2744])).
% 30.35/5.56 thf(f13118,plain,(
% 30.35/5.56 ((sK6 @ $true) != (sK11 @ $true)) | (sK144 = $false) | (~spl0_39 | ~spl0_80)),
% 30.35/5.56 inference(fool_paramodulation,[status(thm)],[f13074])).
% 30.35/5.56 thf(f13074,plain,(
% 30.35/5.56 ((sK6 @ sK144) != (sK11 @ sK144)) | (~spl0_39 | ~spl0_80)),
% 30.35/5.56 inference(negative_extensionality,[status(thm)],[f13066])).
% 30.35/5.56 thf(f13066,plain,(
% 30.35/5.56 (sK11 != sK6) | (~spl0_39 | ~spl0_80)),
% 30.35/5.56 inference(trivial_inequality_removal,[status(thm)],[f13056])).
% 30.35/5.56 thf(f13056,plain,(
% 30.35/5.56 (sK11 != sK6) | ($true = $false) | (~spl0_39 | ~spl0_80)),
% 30.35/5.56 inference(constrained_superposition,[status(thm)],[f726,f425])).
% 30.35/5.56 thf(f425,plain,(
% 30.35/5.56 ($false = (eps1 @ sK6)) | ~spl0_39),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f423])).
% 30.35/5.56 thf(f13151,plain,(
% 30.35/5.56 ((sK6 @ sK144) = $false) | ((sK11 @ $false) = $false) | (~spl0_39 | ~spl0_80 | ~spl0_93 | ~spl0_169)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f13117,f13142])).
% 30.35/5.56 thf(f13117,plain,(
% 30.35/5.56 ((sK11 @ sK144) = $false) | ((sK6 @ sK144) = $false) | (~spl0_39 | ~spl0_80)),
% 30.35/5.56 inference(binary_proxy_clausification,[status(thm)],[f13074])).
% 30.35/5.56 thf(f12980,plain,(
% 30.35/5.56 ~spl0_32 | ~spl0_64 | ~spl0_90 | ~spl0_91 | ~spl0_101 | ~spl0_121),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f12979])).
% 30.35/5.56 thf(f12979,plain,(
% 30.35/5.56 $false | (~spl0_32 | ~spl0_64 | ~spl0_90 | ~spl0_91 | ~spl0_101 | ~spl0_121)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f12978,f1231])).
% 30.35/5.56 thf(f12978,plain,(
% 30.35/5.56 ($true != (sK5 @ $false)) | (~spl0_32 | ~spl0_64 | ~spl0_90 | ~spl0_91 | ~spl0_121)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f12977,f12963])).
% 30.35/5.56 thf(f12963,plain,(
% 30.35/5.56 (sK143 = $false) | (~spl0_32 | ~spl0_64 | ~spl0_90 | ~spl0_121)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f12962,f989])).
% 30.35/5.56 thf(f12962,plain,(
% 30.35/5.56 (sK143 = $false) | ($true != (sK9 @ $true)) | (~spl0_32 | ~spl0_64 | ~spl0_121)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f12957,f1533])).
% 30.35/5.56 thf(f12957,plain,(
% 30.35/5.56 ((sK9 @ $true) != (sK5 @ $true)) | (sK143 = $false) | (~spl0_32 | ~spl0_64)),
% 30.35/5.56 inference(fool_paramodulation,[status(thm)],[f12909])).
% 30.35/5.56 thf(f12909,plain,(
% 30.35/5.56 ((sK9 @ sK143) != (sK5 @ sK143)) | (~spl0_32 | ~spl0_64)),
% 30.35/5.56 inference(negative_extensionality,[status(thm)],[f12899])).
% 30.35/5.56 thf(f12899,plain,(
% 30.35/5.56 (sK9 != sK5) | (~spl0_32 | ~spl0_64)),
% 30.35/5.56 inference(trivial_inequality_removal,[status(thm)],[f12888])).
% 30.35/5.56 thf(f12888,plain,(
% 30.35/5.56 ($true = $false) | (sK9 != sK5) | (~spl0_32 | ~spl0_64)),
% 30.35/5.56 inference(constrained_superposition,[status(thm)],[f337,f607])).
% 30.35/5.56 thf(f12977,plain,(
% 30.35/5.56 ($true != (sK5 @ sK143)) | (~spl0_32 | ~spl0_64 | ~spl0_90 | ~spl0_91 | ~spl0_121)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f12960,f12963])).
% 30.35/5.56 thf(f12960,plain,(
% 30.35/5.56 ($true != (sK5 @ sK143)) | (sK143 != $false) | (~spl0_32 | ~spl0_64 | ~spl0_91)),
% 30.35/5.56 inference(constrained_superposition,[status(thm)],[f12909,f995])).
% 30.35/5.56 thf(f12863,plain,(
% 30.35/5.56 ~spl0_35 | spl0_79 | ~spl0_101 | ~spl0_111 | ~spl0_121 | ~spl0_169),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f12862])).
% 30.35/5.56 thf(f12862,plain,(
% 30.35/5.56 $false | (~spl0_35 | spl0_79 | ~spl0_101 | ~spl0_111 | ~spl0_121 | ~spl0_169)),
% 30.35/5.56 inference(trivial_inequality_removal,[status(thm)],[f12861])).
% 30.35/5.56 thf(f12861,plain,(
% 30.35/5.56 ($true = $false) | (~spl0_35 | spl0_79 | ~spl0_101 | ~spl0_111 | ~spl0_121 | ~spl0_169)),
% 30.35/5.56 inference(backward_demodulation,[status(thm)],[f1409,f12860])).
% 30.35/5.56 thf(f12860,plain,(
% 30.35/5.56 ((sK11 @ $false) = $false) | (~spl0_35 | spl0_79 | ~spl0_101 | ~spl0_121 | ~spl0_169)),
% 30.35/5.56 inference(trivial_inequality_removal,[status(thm)],[f12859])).
% 30.35/5.56 thf(f12859,plain,(
% 30.35/5.56 ($true = $false) | ((sK11 @ $false) = $false) | (~spl0_35 | spl0_79 | ~spl0_101 | ~spl0_121 | ~spl0_169)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f12858,f1231])).
% 30.35/5.56 thf(f12858,plain,(
% 30.35/5.56 ((sK5 @ $false) = $false) | ((sK11 @ $false) = $false) | (~spl0_35 | spl0_79 | ~spl0_121 | ~spl0_169)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f12857,f12845])).
% 30.35/5.56 thf(f12845,plain,(
% 30.35/5.56 (sK141 = $false) | (~spl0_35 | spl0_79 | ~spl0_121 | ~spl0_169)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f12844,f2744])).
% 30.35/5.56 thf(f12844,plain,(
% 30.35/5.56 (sK141 = $false) | ($true != (sK11 @ $true)) | (~spl0_35 | spl0_79 | ~spl0_121)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f12831,f1533])).
% 30.35/5.56 thf(f12831,plain,(
% 30.35/5.56 (sK141 = $false) | ((sK11 @ $true) != (sK5 @ $true)) | (~spl0_35 | spl0_79)),
% 30.35/5.56 inference(fool_paramodulation,[status(thm)],[f12699])).
% 30.35/5.56 thf(f12699,plain,(
% 30.35/5.56 ((sK5 @ sK141) != (sK11 @ sK141)) | (~spl0_35 | spl0_79)),
% 30.35/5.56 inference(negative_extensionality,[status(thm)],[f12656])).
% 30.35/5.56 thf(f12656,plain,(
% 30.35/5.56 (sK11 != sK5) | (~spl0_35 | spl0_79)),
% 30.35/5.56 inference(trivial_inequality_removal,[status(thm)],[f12654])).
% 30.35/5.56 thf(f12654,plain,(
% 30.35/5.56 (sK11 != sK5) | ($false != $false) | (~spl0_35 | spl0_79)),
% 30.35/5.56 inference(constrained_superposition,[status(thm)],[f722,f350])).
% 30.35/5.56 thf(f12857,plain,(
% 30.35/5.56 ((sK11 @ $false) = $false) | ((sK5 @ sK141) = $false) | (~spl0_35 | spl0_79 | ~spl0_121 | ~spl0_169)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f12830,f12845])).
% 30.35/5.56 thf(f12830,plain,(
% 30.35/5.56 ((sK11 @ sK141) = $false) | ((sK5 @ sK141) = $false) | (~spl0_35 | spl0_79)),
% 30.35/5.56 inference(binary_proxy_clausification,[status(thm)],[f12699])).
% 30.35/5.56 thf(f12661,plain,(
% 30.35/5.56 ~spl0_179 | ~spl0_64 | spl0_79),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f12657,f721,f605,f2991])).
% 30.35/5.56 thf(f12657,plain,(
% 30.35/5.56 (sK11 != sK9) | (~spl0_64 | spl0_79)),
% 30.35/5.56 inference(trivial_inequality_removal,[status(thm)],[f12653])).
% 30.35/5.56 thf(f12653,plain,(
% 30.35/5.56 (sK11 != sK9) | ($false != $false) | (~spl0_64 | spl0_79)),
% 30.35/5.56 inference(constrained_superposition,[status(thm)],[f722,f607])).
% 30.35/5.56 thf(f12267,plain,(
% 30.35/5.56 spl0_228 | ~spl0_191 | ~spl0_227),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f12262,f7283,f3741,f7288])).
% 30.35/5.56 thf(f7283,definition,(
% 30.35/5.56 spl0_227 <=> (sK68 = sK66)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_227])],[avatar_definition])).
% 30.35/5.56 thf(f12262,plain,(
% 30.35/5.56 (sK68 = $true) | (~spl0_191 | ~spl0_227)),
% 30.35/5.56 inference(backward_demodulation,[status(thm)],[f7284,f3742])).
% 30.35/5.56 thf(f7284,plain,(
% 30.35/5.56 (sK68 = sK66) | ~spl0_227),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f7283])).
% 30.35/5.56 thf(f12258,plain,(
% 30.35/5.56 spl0_191 | spl0_226 | ~spl0_227),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f12257,f7283,f7278,f3741])).
% 30.35/5.56 thf(f7278,definition,(
% 30.35/5.56 spl0_226 <=> (sK68 = $false)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_226])],[avatar_definition])).
% 30.35/5.56 thf(f12257,plain,(
% 30.35/5.56 ($true = sK66) | (spl0_226 | ~spl0_227)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f12253,f7280])).
% 30.35/5.56 thf(f7280,plain,(
% 30.35/5.56 (sK68 != $false) | spl0_226),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f7278])).
% 30.35/5.56 thf(f12253,plain,(
% 30.35/5.56 ($true = sK66) | (sK68 = $false) | ~spl0_227),
% 30.35/5.56 inference(fool_paramodulation,[status(thm)],[f7284])).
% 30.35/5.56 thf(f12245,plain,(
% 30.35/5.56 spl0_191 | spl0_227 | spl0_228),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f12244,f7288,f7283,f3741])).
% 30.35/5.56 thf(f12244,plain,(
% 30.35/5.56 ($true = sK66) | (spl0_227 | spl0_228)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f12239,f7290])).
% 30.35/5.56 thf(f7290,plain,(
% 30.35/5.56 (sK68 != $true) | spl0_228),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f7288])).
% 30.35/5.56 thf(f12239,plain,(
% 30.35/5.56 ($true = sK66) | (sK68 = $true) | spl0_227),
% 30.35/5.56 inference(binary_proxy_clausification,[status(thm)],[f7285])).
% 30.35/5.56 thf(f7285,plain,(
% 30.35/5.56 (sK68 != sK66) | spl0_227),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f7283])).
% 30.35/5.56 thf(f12243,plain,(
% 30.35/5.56 ~spl0_191 | spl0_226 | spl0_227),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f12242,f7283,f7278,f3741])).
% 30.35/5.56 thf(f12242,plain,(
% 30.35/5.56 ($true != sK66) | (spl0_226 | spl0_227)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f12241,f7280])).
% 30.35/5.56 thf(f12241,plain,(
% 30.35/5.56 ($true != sK66) | (sK68 = $false) | spl0_227),
% 30.35/5.56 inference(fool_paramodulation,[status(thm)],[f7285])).
% 30.35/5.56 thf(f12190,plain,(
% 30.35/5.56 spl0_169 | ~spl0_81 | ~spl0_86),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f12189,f753,f730,f2743])).
% 30.35/5.56 thf(f12189,plain,(
% 30.35/5.56 ($true = (sK11 @ $true)) | (~spl0_81 | ~spl0_86)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f755,f732])).
% 30.35/5.56 thf(f755,plain,(
% 30.35/5.56 ($true = (sK11 @ (eps5 @ sK11))) | ~spl0_86),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f753])).
% 30.35/5.56 thf(f12159,plain,(
% 30.35/5.56 ~spl0_75 | ~spl0_150),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f12158])).
% 30.35/5.56 thf(f12158,plain,(
% 30.35/5.56 $false | (~spl0_75 | ~spl0_150)),
% 30.35/5.56 inference(trivial_inequality_removal,[status(thm)],[f12157])).
% 30.35/5.56 thf(f12157,plain,(
% 30.35/5.56 ($true = $false) | (~spl0_75 | ~spl0_150)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f2077,f683])).
% 30.35/5.56 thf(f2077,plain,(
% 30.35/5.56 ((sK10 @ sK19) = $true) | ~spl0_150),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f2075])).
% 30.35/5.56 thf(f12135,plain,(
% 30.35/5.56 ~spl0_10 | spl0_163),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f12134])).
% 30.35/5.56 thf(f12134,plain,(
% 30.35/5.56 $false | (~spl0_10 | spl0_163)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f2698,f152])).
% 30.35/5.56 thf(f2698,plain,(
% 30.35/5.56 ((sK3 @ sK48) != $false) | spl0_163),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f2697])).
% 30.35/5.56 thf(f2697,definition,(
% 30.35/5.56 spl0_163 <=> ((sK3 @ sK48) = $false)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_163])],[avatar_definition])).
% 30.35/5.56 thf(f12125,plain,(
% 30.35/5.56 ~spl0_23 | ~spl0_52 | spl0_184),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f12124,f3579,f504,f257])).
% 30.35/5.56 thf(f12124,plain,(
% 30.35/5.56 (sK3 != sK2) | (~spl0_52 | spl0_184)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f3581,f505])).
% 30.35/5.56 thf(f3581,plain,(
% 30.35/5.56 (sK3 != sK7) | spl0_184),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f3579])).
% 30.35/5.56 thf(f12122,plain,(
% 30.35/5.56 ~spl0_10 | ~spl0_225),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f12121])).
% 30.35/5.56 thf(f12121,plain,(
% 30.35/5.56 $false | (~spl0_10 | ~spl0_225)),
% 30.35/5.56 inference(trivial_inequality_removal,[status(thm)],[f12120])).
% 30.35/5.56 thf(f12120,plain,(
% 30.35/5.56 ($true = $false) | (~spl0_10 | ~spl0_225)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f7275,f152])).
% 30.35/5.56 thf(f7275,plain,(
% 30.35/5.56 ($true = (sK3 @ sK68)) | ~spl0_225),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f7274])).
% 30.35/5.56 thf(f12105,plain,(
% 30.35/5.56 ~spl0_10 | ~spl0_151),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f12104])).
% 30.35/5.56 thf(f12104,plain,(
% 30.35/5.56 $false | (~spl0_10 | ~spl0_151)),
% 30.35/5.56 inference(trivial_inequality_removal,[status(thm)],[f12103])).
% 30.35/5.56 thf(f12103,plain,(
% 30.35/5.56 ($true = $false) | (~spl0_10 | ~spl0_151)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f2081,f152])).
% 30.35/5.56 thf(f2081,plain,(
% 30.35/5.56 ($true = (sK3 @ sK19)) | ~spl0_151),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f2079])).
% 30.35/5.56 thf(f2079,definition,(
% 30.35/5.56 spl0_151 <=> ($true = (sK3 @ sK19))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_151])],[avatar_definition])).
% 30.35/5.56 thf(f12102,plain,(
% 30.35/5.56 ~spl0_10 | ~spl0_248),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f12101])).
% 30.35/5.56 thf(f12101,plain,(
% 30.35/5.56 $false | (~spl0_10 | ~spl0_248)),
% 30.35/5.56 inference(trivial_inequality_removal,[status(thm)],[f12100])).
% 30.35/5.56 thf(f12100,plain,(
% 30.35/5.56 ($true = $false) | (~spl0_10 | ~spl0_248)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f11643,f152])).
% 30.35/5.56 thf(f11643,plain,(
% 30.35/5.56 ((sK3 @ sK131) = $true) | ~spl0_248),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f11641])).
% 30.35/5.56 thf(f11641,definition,(
% 30.35/5.56 spl0_248 <=> ((sK3 @ sK131) = $true)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_248])],[avatar_definition])).
% 30.35/5.56 thf(f12011,plain,(
% 30.35/5.56 spl0_10 | ~spl0_9 | ~spl0_45),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f12010,f467,f146,f151])).
% 30.35/5.56 thf(f12010,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (((sK3 @ X1) = $false)) ) | (~spl0_9 | ~spl0_45)),
% 30.35/5.56 inference(trivial_inequality_removal,[status(thm)],[f12009])).
% 30.35/5.56 thf(f12009,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (($true = $false) | ((sK3 @ X1) = $false)) ) | (~spl0_9 | ~spl0_45)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f5943,f468])).
% 30.35/5.56 thf(f5943,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (($true = (sK3 @ $true)) | ((sK3 @ X1) = $false)) ) | ~spl0_9),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f5937,f148])).
% 30.35/5.56 thf(f5937,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (((sK3 @ X1) = $false) | ($true = (sK3 @ (eps3 @ sK3)))) )),
% 30.35/5.56 introduced(definition,[],[choice_axiom])).
% 30.35/5.56 thf(f11969,plain,(
% 30.35/5.56 ~spl0_24 | ~spl0_5 | ~spl0_52),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f11966,f504,f110,f261])).
% 30.35/5.56 thf(f11966,plain,(
% 30.35/5.56 ((eps3 @ sK2) != $false) | (~spl0_5 | ~spl0_52)),
% 30.35/5.56 inference(backward_demodulation,[status(thm)],[f11008,f112])).
% 30.35/5.56 thf(f11008,plain,(
% 30.35/5.56 ((eps3 @ sK2) != (eps4 @ sK2)) | ~spl0_52),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f82,f505])).
% 30.35/5.56 thf(f11934,plain,(
% 30.35/5.56 ~spl0_24 | ~spl0_17 | spl0_210),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f11933,f5237,f205,f261])).
% 30.35/5.56 thf(f11933,plain,(
% 30.35/5.56 ((eps3 @ sK2) != $false) | (~spl0_17 | spl0_210)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f5238,f206])).
% 30.35/5.56 thf(f11928,plain,(
% 30.35/5.56 spl0_90 | ~spl0_139 | ~spl0_140),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f11927,f1849,f1844,f987])).
% 30.35/5.56 thf(f1849,definition,(
% 30.35/5.56 spl0_140 <=> ($true = (sK9 @ sK18))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_140])],[avatar_definition])).
% 30.35/5.56 thf(f11927,plain,(
% 30.35/5.56 ($true = (sK9 @ $true)) | (~spl0_139 | ~spl0_140)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f1851,f1845])).
% 30.35/5.56 thf(f1851,plain,(
% 30.35/5.56 ($true = (sK9 @ sK18)) | ~spl0_140),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f1849])).
% 30.35/5.56 thf(f11918,plain,(
% 30.35/5.56 ~spl0_4 | ~spl0_17 | ~spl0_131),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f11917,f1735,f205,f106])).
% 30.35/5.56 thf(f11917,plain,(
% 30.35/5.56 ((eps2 @ sK2) != $false) | (~spl0_17 | ~spl0_131)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f11916,f1737])).
% 30.35/5.56 thf(f11916,plain,(
% 30.35/5.56 ((eps2 @ sK2) != (eps1 @ sK2)) | ~spl0_17),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f79,f206])).
% 30.35/5.56 thf(f11871,plain,(
% 30.35/5.56 ~spl0_23 | spl0_25 | ~spl0_13 | ~spl0_52),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f11870,f504,f164,f267,f257])).
% 30.35/5.56 thf(f11870,plain,(
% 30.35/5.56 (sK3 != sK2) | ((eps5 @ sK2) = $false) | (~spl0_13 | ~spl0_52)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f11383,f505])).
% 30.35/5.56 thf(f11383,plain,(
% 30.35/5.56 (sK3 != sK7) | ((eps5 @ sK2) = $false) | (~spl0_13 | ~spl0_52)),
% 30.35/5.56 inference(constrained_superposition,[status(thm)],[f166,f505])).
% 30.35/5.56 thf(f166,plain,(
% 30.35/5.56 ($false = (eps5 @ sK3)) | ~spl0_13),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f164])).
% 30.35/5.56 thf(f11866,plain,(
% 30.35/5.56 spl0_10 | spl0_253 | ~spl0_9),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f11360,f146,f11847,f151])).
% 30.35/5.56 thf(f11360,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (((sK3 @ X1) = $false) | ($true = (sK3 @ $true))) ) | ~spl0_9),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f11354,f148])).
% 30.35/5.56 thf(f11354,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (($true = (sK3 @ (eps3 @ sK3))) | ((sK3 @ X1) = $false)) )),
% 30.35/5.56 introduced(definition,[],[choice_axiom])).
% 30.35/5.56 thf(f11833,plain,(
% 30.35/5.56 ~spl0_59 | ~spl0_247),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f11832])).
% 30.35/5.56 thf(f11832,plain,(
% 30.35/5.56 $false | (~spl0_59 | ~spl0_247)),
% 30.35/5.56 inference(trivial_inequality_removal,[status(thm)],[f11831])).
% 30.35/5.56 thf(f11831,plain,(
% 30.35/5.56 ($true = $false) | (~spl0_59 | ~spl0_247)),
% 30.35/5.56 inference(backward_demodulation,[status(thm)],[f11639,f563])).
% 30.35/5.56 thf(f563,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (((sK8 @ X1) = $false)) ) | ~spl0_59),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f562])).
% 30.35/5.56 thf(f11639,plain,(
% 30.35/5.56 ($true = (sK8 @ sK131)) | ~spl0_247),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f11637])).
% 30.35/5.56 thf(f11637,definition,(
% 30.35/5.56 spl0_247 <=> ($true = (sK8 @ sK131))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_247])],[avatar_definition])).
% 30.35/5.56 thf(f11817,plain,(
% 30.35/5.56 spl0_23 | ~spl0_52 | ~spl0_184),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f11816,f3579,f504,f257])).
% 30.35/5.56 thf(f11816,plain,(
% 30.35/5.56 (sK3 = sK2) | (~spl0_52 | ~spl0_184)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f3580,f505])).
% 30.35/5.56 thf(f11778,plain,(
% 30.35/5.56 ~spl0_133 | spl0_80 | ~spl0_132),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f11776,f1742,f725,f1758])).
% 30.35/5.56 thf(f11776,plain,(
% 30.35/5.56 ($true != (eps1 @ sK2)) | (spl0_80 | ~spl0_132)),
% 30.35/5.56 inference(backward_demodulation,[status(thm)],[f727,f1743])).
% 30.35/5.56 thf(f727,plain,(
% 30.35/5.56 ((eps1 @ sK11) != $true) | spl0_80),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f725])).
% 30.35/5.56 thf(f11768,plain,(
% 30.35/5.56 spl0_18 | spl0_213 | ~spl0_20),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f9042,f218,f5514,f210])).
% 30.35/5.56 thf(f9042,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (($true = (sK4 @ $false)) | ((sK4 @ X1) = $false)) ) | ~spl0_20),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f4670,f220])).
% 30.35/5.56 thf(f4670,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (($true = (sK4 @ (eps2 @ sK4))) | ((sK4 @ X1) = $false)) )),
% 30.35/5.56 introduced(definition,[],[choice_axiom])).
% 30.35/5.56 thf(f11748,plain,(
% 30.35/5.56 spl0_94 | spl0_18 | ~spl0_16),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f10218,f200,f210,f1037])).
% 30.35/5.56 thf(f10218,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (($true = (sK4 @ $true)) | ((sK4 @ X1) = $false)) ) | ~spl0_16),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f5264,f202])).
% 30.35/5.56 thf(f5264,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (((sK4 @ X1) = $false) | ($true = (sK4 @ (eps1 @ sK4)))) )),
% 30.35/5.56 introduced(definition,[],[choice_axiom])).
% 30.35/5.56 thf(f11732,plain,(
% 30.35/5.56 ~spl0_145 | spl0_21 | ~spl0_146),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f11729,f1983,f222,f1977])).
% 30.35/5.56 thf(f11729,plain,(
% 30.35/5.56 ($false != (eps1 @ sK3)) | (spl0_21 | ~spl0_146)),
% 30.35/5.56 inference(backward_demodulation,[status(thm)],[f223,f1984])).
% 30.35/5.56 thf(f11723,plain,(
% 30.35/5.56 ~spl0_17 | ~spl0_52 | spl0_212),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f11722,f5250,f504,f205])).
% 30.35/5.56 thf(f11722,plain,(
% 30.35/5.56 (sK4 != sK2) | (~spl0_52 | spl0_212)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f5252,f505])).
% 30.35/5.56 thf(f11721,plain,(
% 30.35/5.56 spl0_57 | ~spl0_143 | ~spl0_144),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f11720])).
% 30.35/5.56 thf(f11720,plain,(
% 30.35/5.56 $false | (spl0_57 | ~spl0_143 | ~spl0_144)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f11719,f1973])).
% 30.35/5.56 thf(f1973,plain,(
% 30.35/5.56 ($true = (eps1 @ sK3)) | ~spl0_144),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f1971])).
% 30.35/5.56 thf(f11719,plain,(
% 30.35/5.56 ($true != (eps1 @ sK3)) | (spl0_57 | ~spl0_143)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f554,f1966])).
% 30.35/5.56 thf(f554,plain,(
% 30.35/5.56 ($true != (eps1 @ sK8)) | spl0_57),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f552])).
% 30.35/5.56 thf(f11678,plain,(
% 30.35/5.56 ~spl0_37 | spl0_248 | ~spl0_250),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f11677])).
% 30.35/5.56 thf(f11677,plain,(
% 30.35/5.56 $false | (~spl0_37 | spl0_248 | ~spl0_250)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f11676,f375])).
% 30.35/5.56 thf(f11676,plain,(
% 30.35/5.56 ((sK3 @ $false) != $true) | (spl0_248 | ~spl0_250)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f11642,f11652])).
% 30.35/5.56 thf(f11652,plain,(
% 30.35/5.56 (sK131 = $false) | ~spl0_250),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f11651])).
% 30.35/5.56 thf(f11651,definition,(
% 30.35/5.56 spl0_250 <=> (sK131 = $false)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_250])],[avatar_definition])).
% 30.35/5.56 thf(f11642,plain,(
% 30.35/5.56 ((sK3 @ sK131) != $true) | spl0_248),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f11641])).
% 30.35/5.56 thf(f11658,plain,(
% 30.35/5.56 spl0_250 | ~spl0_9 | ~spl0_12 | spl0_143 | ~spl0_158),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f11657,f2363,f1965,f159,f146,f11651])).
% 30.35/5.56 thf(f11657,plain,(
% 30.35/5.56 (sK131 = $false) | (~spl0_9 | ~spl0_12 | spl0_143 | ~spl0_158)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f11656,f406])).
% 30.35/5.56 thf(f406,plain,(
% 30.35/5.56 ($true = (sK3 @ $true)) | (~spl0_9 | ~spl0_12)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f161,f148])).
% 30.35/5.56 thf(f11656,plain,(
% 30.35/5.56 ($true != (sK3 @ $true)) | (sK131 = $false) | (spl0_143 | ~spl0_158)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f11622,f2365])).
% 30.35/5.56 thf(f11622,plain,(
% 30.35/5.56 (sK131 = $false) | ((sK3 @ $true) != (sK8 @ $true)) | spl0_143),
% 30.35/5.56 inference(fool_paramodulation,[status(thm)],[f11318])).
% 30.35/5.56 thf(f11318,plain,(
% 30.35/5.56 ((sK3 @ sK131) != (sK8 @ sK131)) | spl0_143),
% 30.35/5.56 inference(negative_extensionality,[status(thm)],[f1967])).
% 30.35/5.56 thf(f11654,plain,(
% 30.35/5.56 ~spl0_250 | ~spl0_248 | ~spl0_87 | spl0_143),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f11625,f1965,f853,f11641,f11651])).
% 30.35/5.56 thf(f11625,plain,(
% 30.35/5.56 ((sK3 @ sK131) != $true) | (sK131 != $false) | (~spl0_87 | spl0_143)),
% 30.35/5.56 inference(constrained_superposition,[status(thm)],[f11318,f855])).
% 30.35/5.56 thf(f11644,plain,(
% 30.35/5.56 spl0_247 | spl0_248 | spl0_143),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f11620,f1965,f11641,f11637])).
% 30.35/5.56 thf(f11620,plain,(
% 30.35/5.56 ((sK3 @ sK131) = $true) | ($true = (sK8 @ sK131)) | spl0_143),
% 30.35/5.56 inference(binary_proxy_clausification,[status(thm)],[f11318])).
% 30.35/5.56 thf(f11101,plain,(
% 30.35/5.56 ~spl0_39 | ~spl0_38),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f11100,f419,f423])).
% 30.35/5.56 thf(f11100,plain,(
% 30.35/5.56 ($false != (eps1 @ sK6)) | ~spl0_38),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f81,f421])).
% 30.35/5.56 thf(f11087,plain,(
% 30.35/5.56 ~spl0_9 | ~spl0_142 | ~spl0_144),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f11086])).
% 30.35/5.56 thf(f11086,plain,(
% 30.35/5.56 $false | (~spl0_9 | ~spl0_142 | ~spl0_144)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f11085,f148])).
% 30.35/5.56 thf(f11085,plain,(
% 30.35/5.56 ($true != (eps3 @ sK3)) | (~spl0_142 | ~spl0_144)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f11084,f1973])).
% 30.35/5.56 thf(f11084,plain,(
% 30.35/5.56 ((eps3 @ sK3) != (eps1 @ sK3)) | ~spl0_142),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f81,f1962])).
% 30.35/5.56 thf(f11079,plain,(
% 30.35/5.56 spl0_14 | ~spl0_38 | ~spl0_142),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f11078])).
% 30.35/5.56 thf(f11078,plain,(
% 30.35/5.56 $false | (spl0_14 | ~spl0_38 | ~spl0_142)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f11077,f170])).
% 30.35/5.56 thf(f11077,plain,(
% 30.35/5.56 ((eps3 @ sK3) = $false) | (~spl0_38 | ~spl0_142)),
% 30.35/5.56 inference(backward_demodulation,[status(thm)],[f421,f1962])).
% 30.35/5.56 thf(f11003,plain,(
% 30.35/5.56 spl0_144 | ~spl0_80 | ~spl0_85),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f11001,f748,f725,f1971])).
% 30.35/5.56 thf(f11001,plain,(
% 30.35/5.56 ($true = (eps1 @ sK3)) | (~spl0_80 | ~spl0_85)),
% 30.35/5.56 inference(backward_demodulation,[status(thm)],[f726,f749])).
% 30.35/5.56 thf(f10956,plain,(
% 30.35/5.56 ~spl0_30 | spl0_146 | ~spl0_242),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f10955])).
% 30.35/5.56 thf(f10955,plain,(
% 30.35/5.56 $false | (~spl0_30 | spl0_146 | ~spl0_242)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f10954,f1985])).
% 30.35/5.56 thf(f10954,plain,(
% 30.35/5.56 (sK4 = sK3) | (~spl0_30 | ~spl0_242)),
% 30.35/5.56 inference(backward_demodulation,[status(thm)],[f10660,f327])).
% 30.35/5.56 thf(f10946,plain,(
% 30.35/5.56 spl0_34 | ~spl0_18 | ~spl0_242),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f10945,f10659,f210,f344])).
% 30.35/5.56 thf(f10945,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (($false = (sK5 @ X1))) ) | (~spl0_18 | ~spl0_242)),
% 30.35/5.56 inference(trivial_inequality_removal,[status(thm)],[f10944])).
% 30.35/5.56 thf(f10944,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (($false = (sK5 @ X1)) | ($true = $false)) ) | (~spl0_18 | ~spl0_242)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f10943,f211])).
% 30.35/5.56 thf(f10943,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (($false = (sK5 @ X1)) | ($true = (sK4 @ (eps4 @ sK4)))) ) | ~spl0_242),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f10636,f10660])).
% 30.35/5.56 thf(f10636,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (($false = (sK5 @ X1)) | ($true = (sK5 @ (eps4 @ sK5)))) )),
% 30.35/5.56 introduced(definition,[],[choice_axiom])).
% 30.35/5.56 thf(f10942,plain,(
% 30.35/5.56 ~spl0_5 | spl0_51 | ~spl0_52),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f10941,f504,f499,f110])).
% 30.35/5.56 thf(f10941,plain,(
% 30.35/5.56 ((eps4 @ sK2) != $false) | (spl0_51 | ~spl0_52)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f500,f505])).
% 30.35/5.56 thf(f10935,plain,(
% 30.35/5.56 spl0_7 | ~spl0_52 | ~spl0_54),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f10934,f513,f504,f119])).
% 30.35/5.56 thf(f10934,plain,(
% 30.35/5.56 ($true = (eps4 @ sK2)) | (~spl0_52 | ~spl0_54)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f515,f505])).
% 30.35/5.56 thf(f10920,plain,(
% 30.35/5.56 ~spl0_25 | ~spl0_4 | ~spl0_129),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f10918,f1725,f106,f267])).
% 30.35/5.56 thf(f10918,plain,(
% 30.35/5.56 ((eps5 @ sK2) != $false) | (~spl0_4 | ~spl0_129)),
% 30.35/5.56 inference(backward_demodulation,[status(thm)],[f10269,f108])).
% 30.35/5.56 thf(f10269,plain,(
% 30.35/5.56 ((eps2 @ sK2) != (eps5 @ sK2)) | ~spl0_129),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f84,f1726])).
% 30.35/5.56 thf(f10872,plain,(
% 30.35/5.56 ~spl0_6 | spl0_63 | ~spl0_129),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f10871,f1725,f601,f115])).
% 30.35/5.56 thf(f10871,plain,(
% 30.35/5.56 ((eps2 @ sK2) != $true) | (spl0_63 | ~spl0_129)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f603,f1726])).
% 30.35/5.56 thf(f10801,plain,(
% 30.35/5.56 spl0_111 | ~spl0_79 | ~spl0_86),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f10800,f753,f721,f1407])).
% 30.35/5.56 thf(f10800,plain,(
% 30.35/5.56 ((sK11 @ $false) = $true) | (~spl0_79 | ~spl0_86)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f755,f723])).
% 30.35/5.56 thf(f10799,plain,(
% 30.35/5.56 ~spl0_17 | spl0_128 | ~spl0_242),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f10687,f10659,f1721,f205])).
% 30.35/5.56 thf(f10687,plain,(
% 30.35/5.56 (sK4 != sK2) | (spl0_128 | ~spl0_242)),
% 30.35/5.56 inference(superposition,[status(thm)],[f1723,f10660])).
% 30.35/5.56 thf(f10676,plain,(
% 30.35/5.56 ~spl0_18 | ~spl0_34 | spl0_242),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f10675])).
% 30.35/5.56 thf(f10675,plain,(
% 30.35/5.56 $false | (~spl0_18 | ~spl0_34 | spl0_242)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f10674,f345])).
% 30.35/5.56 thf(f345,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (($false = (sK5 @ X1))) ) | ~spl0_34),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f344])).
% 30.35/5.56 thf(f10674,plain,(
% 30.35/5.56 ((sK5 @ sK127) != $false) | (~spl0_18 | spl0_242)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f10666,f211])).
% 30.35/5.56 thf(f10666,plain,(
% 30.35/5.56 ((sK5 @ sK127) != (sK4 @ sK127)) | spl0_242),
% 30.35/5.56 inference(negative_extensionality,[status(thm)],[f10661])).
% 30.35/5.56 thf(f10582,plain,(
% 30.35/5.56 ~spl0_158 | spl0_234 | spl0_239),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f10581])).
% 30.35/5.56 thf(f10581,plain,(
% 30.35/5.56 $false | (~spl0_158 | spl0_234 | spl0_239)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f10580,f2365])).
% 30.35/5.56 thf(f10580,plain,(
% 30.35/5.56 ($true != (sK8 @ $true)) | (spl0_234 | spl0_239)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f10568,f9996])).
% 30.35/5.56 thf(f9996,plain,(
% 30.35/5.56 (sK121 != $false) | spl0_234),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f9994])).
% 30.35/5.56 thf(f9994,definition,(
% 30.35/5.56 spl0_234 <=> (sK121 = $false)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_234])],[avatar_definition])).
% 30.35/5.56 thf(f10568,plain,(
% 30.35/5.56 (sK121 = $false) | ($true != (sK8 @ $true)) | spl0_239),
% 30.35/5.56 inference(fool_paramodulation,[status(thm)],[f10018])).
% 30.35/5.56 thf(f10018,plain,(
% 30.35/5.56 ($true != (sK8 @ sK121)) | spl0_239),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f10017])).
% 30.35/5.56 thf(f10017,definition,(
% 30.35/5.56 spl0_239 <=> ($true = (sK8 @ sK121))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_239])],[avatar_definition])).
% 30.35/5.56 thf(f10520,plain,(
% 30.35/5.56 ~spl0_180 | spl0_234 | spl0_235),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f10519])).
% 30.35/5.56 thf(f10519,plain,(
% 30.35/5.56 $false | (~spl0_180 | spl0_234 | spl0_235)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f10518,f9996])).
% 30.35/5.56 thf(f10518,plain,(
% 30.35/5.56 (sK121 = $false) | (~spl0_180 | spl0_235)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f10509,f3062])).
% 30.35/5.56 thf(f10509,plain,(
% 30.35/5.56 ($true != (sK2 @ $true)) | (sK121 = $false) | spl0_235),
% 30.35/5.56 inference(fool_paramodulation,[status(thm)],[f10000])).
% 30.35/5.56 thf(f10000,plain,(
% 30.35/5.56 ($true != (sK2 @ sK121)) | spl0_235),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f9998])).
% 30.35/5.56 thf(f9998,definition,(
% 30.35/5.56 spl0_235 <=> ($true = (sK2 @ sK121))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_235])],[avatar_definition])).
% 30.35/5.56 thf(f10476,plain,(
% 30.35/5.56 ~spl0_211 | ~spl0_16 | ~spl0_209),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f10475,f5233,f200,f5246])).
% 30.35/5.56 thf(f10475,plain,(
% 30.35/5.56 ($true != (eps3 @ sK4)) | (~spl0_16 | ~spl0_209)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f10469,f202])).
% 30.35/5.56 thf(f10469,plain,(
% 30.35/5.56 ((eps1 @ sK4) != (eps3 @ sK4)) | ~spl0_209),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f81,f5234])).
% 30.35/5.56 thf(f10474,plain,(
% 30.35/5.56 spl0_210 | ~spl0_38 | ~spl0_209),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f10465,f5233,f419,f5237])).
% 30.35/5.56 thf(f10465,plain,(
% 30.35/5.56 ($false = (eps3 @ sK4)) | (~spl0_38 | ~spl0_209)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f421,f5234])).
% 30.35/5.56 thf(f10460,plain,(
% 30.35/5.56 spl0_21 | ~spl0_39 | ~spl0_209),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f10459])).
% 30.35/5.56 thf(f10459,plain,(
% 30.35/5.56 $false | (spl0_21 | ~spl0_39 | ~spl0_209)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f10456,f223])).
% 30.35/5.56 thf(f10456,plain,(
% 30.35/5.56 ((eps1 @ sK4) = $false) | (~spl0_39 | ~spl0_209)),
% 30.35/5.56 inference(backward_demodulation,[status(thm)],[f425,f5234])).
% 30.35/5.56 thf(f10455,plain,(
% 30.35/5.56 ~spl0_18 | ~spl0_41 | spl0_209),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f10454])).
% 30.35/5.56 thf(f10454,plain,(
% 30.35/5.56 $false | (~spl0_18 | ~spl0_41 | spl0_209)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f10453,f211])).
% 30.35/5.56 thf(f10453,plain,(
% 30.35/5.56 ((sK4 @ sK126) != $false) | (~spl0_41 | spl0_209)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f10448,f433])).
% 30.35/5.56 thf(f10448,plain,(
% 30.35/5.56 ((sK4 @ sK126) != (sK6 @ sK126)) | spl0_209),
% 30.35/5.56 inference(negative_extensionality,[status(thm)],[f5235])).
% 30.35/5.56 thf(f10293,plain,(
% 30.35/5.56 spl0_4 | ~spl0_23 | ~spl0_224),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f10292])).
% 30.35/5.56 thf(f10292,plain,(
% 30.35/5.56 $false | (spl0_4 | ~spl0_23 | ~spl0_224)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f9147,f107])).
% 30.35/5.56 thf(f107,plain,(
% 30.35/5.56 ((eps2 @ sK2) != $false) | spl0_4),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f106])).
% 30.35/5.56 thf(f9147,plain,(
% 30.35/5.56 ((eps2 @ sK2) = $false) | (~spl0_23 | ~spl0_224)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f7047,f258])).
% 30.35/5.56 thf(f10261,plain,(
% 30.35/5.56 ~spl0_7 | ~spl0_61 | ~spl0_133),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f10259,f1758,f570,f119])).
% 30.35/5.56 thf(f10259,plain,(
% 30.35/5.56 ($true != (eps4 @ sK2)) | (~spl0_61 | ~spl0_133)),
% 30.35/5.56 inference(backward_demodulation,[status(thm)],[f10191,f1760])).
% 30.35/5.56 thf(f10191,plain,(
% 30.35/5.56 ((eps1 @ sK2) != (eps4 @ sK2)) | ~spl0_61),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f83,f571])).
% 30.35/5.56 thf(f10232,plain,(
% 30.35/5.56 spl0_133 | ~spl0_57 | ~spl0_61),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f10231,f570,f552,f1758])).
% 30.35/5.56 thf(f10231,plain,(
% 30.35/5.56 ($true = (eps1 @ sK2)) | (~spl0_57 | ~spl0_61)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f553,f571])).
% 30.35/5.56 thf(f10227,plain,(
% 30.35/5.56 spl0_5 | ~spl0_55 | ~spl0_61),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f10226,f570,f543,f110])).
% 30.35/5.56 thf(f10226,plain,(
% 30.35/5.56 ((eps4 @ sK2) = $false) | (~spl0_55 | ~spl0_61)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f545,f571])).
% 30.35/5.56 thf(f10224,plain,(
% 30.35/5.56 spl0_101 | spl0_34 | ~spl0_35),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f10223,f348,f344,f1229])).
% 30.35/5.56 thf(f10223,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (($false = (sK5 @ X1)) | ($true = (sK5 @ $false))) ) | ~spl0_35),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f8557,f350])).
% 30.35/5.56 thf(f8557,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (((sK5 @ (eps5 @ sK5)) = $true) | ($false = (sK5 @ X1))) )),
% 30.35/5.56 introduced(definition,[],[choice_axiom])).
% 30.35/5.56 thf(f10210,plain,(
% 30.35/5.56 spl0_233 | spl0_48 | ~spl0_51),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f10209,f499,f486,f7396])).
% 30.35/5.56 thf(f10209,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (((sK7 @ X1) = $false) | ($true = (sK7 @ $false))) ) | ~spl0_51),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f3840,f501])).
% 30.35/5.56 thf(f3840,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (((sK7 @ X1) = $false) | ($true = (sK7 @ (eps4 @ sK7)))) )),
% 30.35/5.56 introduced(definition,[],[choice_axiom])).
% 30.35/5.56 thf(f10204,plain,(
% 30.35/5.56 spl0_34 | ~spl0_31 | ~spl0_103),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f10203,f1249,f331,f344])).
% 30.35/5.56 thf(f1249,definition,(
% 30.35/5.56 spl0_103 <=> ($false = (sK5 @ $true))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_103])],[avatar_definition])).
% 30.35/5.56 thf(f10203,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (($false = (sK5 @ X1))) ) | (~spl0_31 | ~spl0_103)),
% 30.35/5.56 inference(trivial_inequality_removal,[status(thm)],[f10202])).
% 30.35/5.56 thf(f10202,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (($true = $false) | ($false = (sK5 @ X1))) ) | (~spl0_31 | ~spl0_103)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f10201,f1250])).
% 30.35/5.56 thf(f1250,plain,(
% 30.35/5.56 ($false = (sK5 @ $true)) | ~spl0_103),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f1249])).
% 30.35/5.56 thf(f10201,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (($false = (sK5 @ X1)) | ($true = (sK5 @ $true))) ) | ~spl0_31),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f1633,f333])).
% 30.35/5.56 thf(f1633,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (($false = (sK5 @ X1)) | ($true = (sK5 @ (eps4 @ sK5)))) )),
% 30.35/5.56 introduced(definition,[],[choice_axiom])).
% 30.35/5.56 thf(f10178,plain,(
% 30.35/5.56 spl0_120 | spl0_48 | ~spl0_50),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f10177,f495,f486,f1517])).
% 30.35/5.56 thf(f10177,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (($true = (sK7 @ $true)) | ((sK7 @ X1) = $false)) ) | ~spl0_50),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f6358,f496])).
% 30.35/5.56 thf(f6358,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (((sK7 @ X1) = $false) | ((sK7 @ (eps3 @ sK7)) = $true)) )),
% 30.35/5.56 introduced(definition,[],[choice_axiom])).
% 30.35/5.56 thf(f10170,plain,(
% 30.35/5.56 ~spl0_128 | ~spl0_23 | spl0_30),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f10169,f326,f257,f1721])).
% 30.35/5.56 thf(f10169,plain,(
% 30.35/5.56 (sK2 != sK5) | (~spl0_23 | spl0_30)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f328,f258])).
% 30.35/5.56 thf(f328,plain,(
% 30.35/5.56 (sK3 != sK5) | spl0_30),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f326])).
% 30.35/5.56 thf(f10139,plain,(
% 30.35/5.56 spl0_90 | spl0_68 | ~spl0_63),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f10138,f601,f625,f987])).
% 30.35/5.56 thf(f10138,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (((sK9 @ X1) = $false) | ($true = (sK9 @ $true))) ) | ~spl0_63),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f9613,f602])).
% 30.35/5.56 thf(f9613,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (((sK9 @ X1) = $false) | ($true = (sK9 @ (eps2 @ sK9)))) )),
% 30.35/5.56 introduced(definition,[],[choice_axiom])).
% 30.35/5.56 thf(f10108,plain,(
% 30.35/5.56 spl0_34 | spl0_121 | ~spl0_31),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f10107,f331,f1531,f344])).
% 30.35/5.56 thf(f10107,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (($true = (sK5 @ $true)) | ($false = (sK5 @ X1))) ) | ~spl0_31),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f7942,f333])).
% 30.35/5.56 thf(f7942,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (($true = (sK5 @ (eps4 @ sK5))) | ($false = (sK5 @ X1))) )),
% 30.35/5.56 introduced(definition,[],[choice_axiom])).
% 30.35/5.56 thf(f10067,plain,(
% 30.35/5.56 ~spl0_237 | ~spl0_239),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f10066])).
% 30.35/5.56 thf(f10066,plain,(
% 30.35/5.56 $false | (~spl0_237 | ~spl0_239)),
% 30.35/5.56 inference(trivial_inequality_removal,[status(thm)],[f10065])).
% 30.35/5.56 thf(f10065,plain,(
% 30.35/5.56 ($true = $false) | (~spl0_237 | ~spl0_239)),
% 30.35/5.56 inference(backward_demodulation,[status(thm)],[f10019,f10009])).
% 30.35/5.56 thf(f10009,plain,(
% 30.35/5.56 ((sK8 @ sK121) = $false) | ~spl0_237),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f10007])).
% 30.35/5.56 thf(f10007,definition,(
% 30.35/5.56 spl0_237 <=> ((sK8 @ sK121) = $false)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_237])],[avatar_definition])).
% 30.35/5.56 thf(f10019,plain,(
% 30.35/5.56 ($true = (sK8 @ sK121)) | ~spl0_239),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f10017])).
% 30.35/5.56 thf(f10040,plain,(
% 30.35/5.56 ~spl0_109 | ~spl0_234 | spl0_235),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f10039])).
% 30.35/5.56 thf(f10039,plain,(
% 30.35/5.56 $false | (~spl0_109 | ~spl0_234 | spl0_235)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f10038,f1325])).
% 30.35/5.56 thf(f10038,plain,(
% 30.35/5.56 ($true != (sK2 @ $false)) | (~spl0_234 | spl0_235)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f10000,f9995])).
% 30.35/5.56 thf(f9995,plain,(
% 30.35/5.56 (sK121 = $false) | ~spl0_234),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f9994])).
% 30.35/5.56 thf(f10024,plain,(
% 30.35/5.56 spl0_237 | ~spl0_235 | spl0_61),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f9989,f570,f9998,f10007])).
% 30.35/5.56 thf(f9989,plain,(
% 30.35/5.56 ((sK8 @ sK121) = $false) | ($true != (sK2 @ sK121)) | spl0_61),
% 30.35/5.56 inference(fool_paramodulation,[status(thm)],[f9795])).
% 30.35/5.56 thf(f9795,plain,(
% 30.35/5.56 ((sK8 @ sK121) != (sK2 @ sK121)) | spl0_61),
% 30.35/5.56 inference(negative_extensionality,[status(thm)],[f572])).
% 30.35/5.56 thf(f572,plain,(
% 30.35/5.56 (sK8 != sK2) | spl0_61),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f570])).
% 30.35/5.56 thf(f10023,plain,(
% 30.35/5.56 spl0_234 | spl0_61 | ~spl0_158 | ~spl0_180),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f10022,f3060,f2363,f570,f9994])).
% 30.35/5.56 thf(f10022,plain,(
% 30.35/5.56 (sK121 = $false) | (spl0_61 | ~spl0_158 | ~spl0_180)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f10021,f3062])).
% 30.35/5.56 thf(f10021,plain,(
% 30.35/5.56 (sK121 = $false) | ($true != (sK2 @ $true)) | (spl0_61 | ~spl0_158)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f9988,f2365])).
% 30.35/5.56 thf(f9988,plain,(
% 30.35/5.56 ((sK2 @ $true) != (sK8 @ $true)) | (sK121 = $false) | spl0_61),
% 30.35/5.56 inference(fool_paramodulation,[status(thm)],[f9795])).
% 30.35/5.56 thf(f10001,plain,(
% 30.35/5.56 ~spl0_234 | ~spl0_235 | spl0_61 | ~spl0_87),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f9992,f853,f570,f9998,f9994])).
% 30.35/5.56 thf(f9992,plain,(
% 30.35/5.56 (sK121 != $false) | ($true != (sK2 @ sK121)) | (spl0_61 | ~spl0_87)),
% 30.35/5.56 inference(constrained_superposition,[status(thm)],[f9795,f855])).
% 30.35/5.56 thf(f9675,plain,(
% 30.35/5.56 ~spl0_41 | ~spl0_44 | ~spl0_48 | ~spl0_53),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f9674])).
% 30.35/5.56 thf(f9674,plain,(
% 30.35/5.56 $false | (~spl0_41 | ~spl0_44 | ~spl0_48 | ~spl0_53)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f9673,f433])).
% 30.35/5.56 thf(f9673,plain,(
% 30.35/5.56 ((sK6 @ sK120) != $false) | (~spl0_44 | ~spl0_48 | ~spl0_53)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f9668,f487])).
% 30.35/5.56 thf(f9668,plain,(
% 30.35/5.56 ((sK6 @ sK120) != (sK7 @ sK120)) | (~spl0_44 | ~spl0_53)),
% 30.35/5.56 inference(negative_extensionality,[status(thm)],[f9658])).
% 30.35/5.56 thf(f9658,plain,(
% 30.35/5.56 (sK6 != sK7) | (~spl0_44 | ~spl0_53)),
% 30.35/5.56 inference(trivial_inequality_removal,[status(thm)],[f9654])).
% 30.35/5.56 thf(f9654,plain,(
% 30.35/5.56 ($true = $false) | (sK6 != sK7) | (~spl0_44 | ~spl0_53)),
% 30.35/5.56 inference(constrained_superposition,[status(thm)],[f448,f509])).
% 30.35/5.56 thf(f9472,plain,(
% 30.35/5.56 ~spl0_48 | ~spl0_51 | spl0_55 | ~spl0_59),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f9471])).
% 30.35/5.56 thf(f9471,plain,(
% 30.35/5.56 $false | (~spl0_48 | ~spl0_51 | spl0_55 | ~spl0_59)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f9470,f487])).
% 30.35/5.56 thf(f9470,plain,(
% 30.35/5.56 ((sK7 @ sK119) != $false) | (~spl0_51 | spl0_55 | ~spl0_59)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f9466,f563])).
% 30.35/5.56 thf(f9466,plain,(
% 30.35/5.56 ((sK7 @ sK119) != (sK8 @ sK119)) | (~spl0_51 | spl0_55)),
% 30.35/5.56 inference(negative_extensionality,[status(thm)],[f9465])).
% 30.35/5.56 thf(f9465,plain,(
% 30.35/5.56 (sK8 != sK7) | (~spl0_51 | spl0_55)),
% 30.35/5.56 inference(trivial_inequality_removal,[status(thm)],[f9463])).
% 30.35/5.56 thf(f9463,plain,(
% 30.35/5.56 (sK8 != sK7) | ($false != $false) | (~spl0_51 | spl0_55)),
% 30.35/5.56 inference(constrained_superposition,[status(thm)],[f544,f501])).
% 30.35/5.56 thf(f9341,plain,(
% 30.35/5.56 ~spl0_68 | ~spl0_83 | spl0_179),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f9340])).
% 30.35/5.56 thf(f9340,plain,(
% 30.35/5.56 $false | (~spl0_68 | ~spl0_83 | spl0_179)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f9339,f626])).
% 30.35/5.56 thf(f626,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (((sK9 @ X1) = $false)) ) | ~spl0_68),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f625])).
% 30.35/5.56 thf(f9339,plain,(
% 30.35/5.56 ((sK9 @ sK117) != $false) | (~spl0_83 | spl0_179)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f9335,f740])).
% 30.35/5.56 thf(f740,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (($false = (sK11 @ X1))) ) | ~spl0_83),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f739])).
% 30.35/5.56 thf(f9335,plain,(
% 30.35/5.56 ((sK9 @ sK117) != (sK11 @ sK117)) | spl0_179),
% 30.35/5.56 inference(negative_extensionality,[status(thm)],[f2993])).
% 30.35/5.56 thf(f9222,plain,(
% 30.35/5.56 ~spl0_59 | ~spl0_199),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f9221])).
% 30.35/5.56 thf(f9221,plain,(
% 30.35/5.56 $false | (~spl0_59 | ~spl0_199)),
% 30.35/5.56 inference(trivial_inequality_removal,[status(thm)],[f9220])).
% 30.35/5.56 thf(f9220,plain,(
% 30.35/5.56 ($true = $false) | (~spl0_59 | ~spl0_199)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f4012,f563])).
% 30.35/5.56 thf(f4012,plain,(
% 30.35/5.56 ($true = (sK8 @ sK70)) | ~spl0_199),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f4010])).
% 30.35/5.56 thf(f4010,definition,(
% 30.35/5.56 spl0_199 <=> ($true = (sK8 @ sK70))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_199])],[avatar_definition])).
% 30.35/5.56 thf(f9215,plain,(
% 30.35/5.56 ~spl0_41 | ~spl0_185),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f9214])).
% 30.35/5.56 thf(f9214,plain,(
% 30.35/5.56 $false | (~spl0_41 | ~spl0_185)),
% 30.35/5.56 inference(trivial_inequality_removal,[status(thm)],[f9213])).
% 30.35/5.56 thf(f9213,plain,(
% 30.35/5.56 ($true = $false) | (~spl0_41 | ~spl0_185)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f3715,f433])).
% 30.35/5.56 thf(f3715,plain,(
% 30.35/5.56 ($true = (sK6 @ sK66)) | ~spl0_185),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f3713])).
% 30.35/5.56 thf(f3713,definition,(
% 30.35/5.56 spl0_185 <=> ($true = (sK6 @ sK66))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_185])],[avatar_definition])).
% 30.35/5.56 thf(f9189,plain,(
% 30.35/5.56 ~spl0_48 | ~spl0_186),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f9188])).
% 30.35/5.56 thf(f9188,plain,(
% 30.35/5.56 $false | (~spl0_48 | ~spl0_186)),
% 30.35/5.56 inference(trivial_inequality_removal,[status(thm)],[f9187])).
% 30.35/5.56 thf(f9187,plain,(
% 30.35/5.56 ($true = $false) | (~spl0_48 | ~spl0_186)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f3719,f487])).
% 30.35/5.56 thf(f3719,plain,(
% 30.35/5.56 ($true = (sK7 @ sK66)) | ~spl0_186),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f3717])).
% 30.35/5.56 thf(f9182,plain,(
% 30.35/5.56 spl0_133 | ~spl0_16 | ~spl0_17),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f9174,f205,f200,f1758])).
% 30.35/5.56 thf(f9174,plain,(
% 30.35/5.56 ($true = (eps1 @ sK2)) | (~spl0_16 | ~spl0_17)),
% 30.35/5.56 inference(backward_demodulation,[status(thm)],[f202,f206])).
% 30.35/5.56 thf(f9173,plain,(
% 30.35/5.56 spl0_41 | ~spl0_38 | spl0_92),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f9172,f1009,f419,f432])).
% 30.35/5.56 thf(f9172,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (((sK6 @ X1) = $false)) ) | (~spl0_38 | spl0_92)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f9171,f1010])).
% 30.35/5.56 thf(f1010,plain,(
% 30.35/5.56 ((sK6 @ $false) != $true) | spl0_92),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f1009])).
% 30.35/5.56 thf(f9171,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (((sK6 @ $false) = $true) | ((sK6 @ X1) = $false)) ) | ~spl0_38),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f6303,f421])).
% 30.35/5.56 thf(f6303,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (($true = (sK6 @ (eps3 @ sK6))) | ((sK6 @ X1) = $false)) )),
% 30.35/5.56 introduced(definition,[],[choice_axiom])).
% 30.35/5.56 thf(f9138,plain,(
% 30.35/5.56 ~spl0_38 | ~spl0_40 | spl0_92),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f9137])).
% 30.35/5.56 thf(f9137,plain,(
% 30.35/5.56 $false | (~spl0_38 | ~spl0_40 | spl0_92)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f9136,f1010])).
% 30.35/5.56 thf(f9136,plain,(
% 30.35/5.56 ((sK6 @ $false) = $true) | (~spl0_38 | ~spl0_40)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f430,f421])).
% 30.35/5.56 thf(f430,plain,(
% 30.35/5.56 ($true = (sK6 @ (eps3 @ sK6))) | ~spl0_40),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f428])).
% 30.35/5.56 thf(f9121,plain,(
% 30.35/5.56 ~spl0_53 | ~spl0_51),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f9120,f499,f508])).
% 30.35/5.56 thf(f9120,plain,(
% 30.35/5.56 ((eps3 @ sK7) != $false) | ~spl0_51),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f82,f501])).
% 30.35/5.56 thf(f9081,plain,(
% 30.35/5.56 ~spl0_7 | ~spl0_26 | ~spl0_52),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f9080])).
% 30.35/5.56 thf(f9080,plain,(
% 30.35/5.56 $false | (~spl0_7 | ~spl0_26 | ~spl0_52)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f9079,f275])).
% 30.35/5.56 thf(f9079,plain,(
% 30.35/5.56 ($true != (eps3 @ sK2)) | (~spl0_7 | ~spl0_52)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f9078,f121])).
% 30.35/5.56 thf(f9078,plain,(
% 30.35/5.56 ((eps3 @ sK2) != (eps4 @ sK2)) | ~spl0_52),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f82,f505])).
% 30.35/5.56 thf(f9072,plain,(
% 30.35/5.56 spl0_7 | ~spl0_31 | ~spl0_128),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f9071,f1721,f331,f119])).
% 30.35/5.56 thf(f9071,plain,(
% 30.35/5.56 ($true = (eps4 @ sK2)) | (~spl0_31 | ~spl0_128)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f333,f1722])).
% 30.35/5.56 thf(f9026,plain,(
% 30.35/5.56 ~spl0_59 | ~spl0_193),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f9025])).
% 30.35/5.56 thf(f9025,plain,(
% 30.35/5.56 $false | (~spl0_59 | ~spl0_193)),
% 30.35/5.56 inference(trivial_inequality_removal,[status(thm)],[f9024])).
% 30.35/5.56 thf(f9024,plain,(
% 30.35/5.56 ($true = $false) | (~spl0_59 | ~spl0_193)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f3891,f563])).
% 30.35/5.56 thf(f3891,plain,(
% 30.35/5.56 ($true = (sK8 @ sK69)) | ~spl0_193),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f3889])).
% 30.35/5.56 thf(f3889,definition,(
% 30.35/5.56 spl0_193 <=> ($true = (sK8 @ sK69))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_193])],[avatar_definition])).
% 30.35/5.56 thf(f8933,plain,(
% 30.35/5.56 ~spl0_129 | ~spl0_23 | spl0_66),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f8932,f615,f257,f1725])).
% 30.35/5.56 thf(f8932,plain,(
% 30.35/5.56 (sK9 != sK2) | (~spl0_23 | spl0_66)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f617,f258])).
% 30.35/5.56 thf(f617,plain,(
% 30.35/5.56 (sK9 != sK3) | spl0_66),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f615])).
% 30.35/5.56 thf(f8919,plain,(
% 30.35/5.56 ~spl0_57 | ~spl0_59 | ~spl0_83 | ~spl0_84),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f8918])).
% 30.35/5.56 thf(f8918,plain,(
% 30.35/5.56 $false | (~spl0_57 | ~spl0_59 | ~spl0_83 | ~spl0_84)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f8917,f563])).
% 30.35/5.56 thf(f8917,plain,(
% 30.35/5.56 ((sK8 @ sK113) != $false) | (~spl0_57 | ~spl0_83 | ~spl0_84)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f8911,f740])).
% 30.35/5.56 thf(f8911,plain,(
% 30.35/5.56 ((sK8 @ sK113) != (sK11 @ sK113)) | (~spl0_57 | ~spl0_84)),
% 30.35/5.56 inference(negative_extensionality,[status(thm)],[f8910])).
% 30.35/5.56 thf(f8910,plain,(
% 30.35/5.56 (sK11 != sK8) | (~spl0_57 | ~spl0_84)),
% 30.35/5.56 inference(trivial_inequality_removal,[status(thm)],[f8905])).
% 30.35/5.56 thf(f8905,plain,(
% 30.35/5.56 ($true = $false) | (sK11 != sK8) | (~spl0_57 | ~spl0_84)),
% 30.35/5.56 inference(constrained_superposition,[status(thm)],[f553,f745])).
% 30.35/5.56 thf(f8748,plain,(
% 30.35/5.56 ~spl0_213 | ~spl0_28 | spl0_108),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f8747,f1302,f307,f5514])).
% 30.35/5.56 thf(f307,definition,(
% 30.35/5.56 spl0_28 <=> (sK14 = $false)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_28])],[avatar_definition])).
% 30.35/5.56 thf(f1302,definition,(
% 30.35/5.56 spl0_108 <=> ($true = (sK4 @ sK14))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_108])],[avatar_definition])).
% 30.35/5.56 thf(f8747,plain,(
% 30.35/5.56 ($true != (sK4 @ $false)) | (~spl0_28 | spl0_108)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f1303,f309])).
% 30.35/5.56 thf(f309,plain,(
% 30.35/5.56 (sK14 = $false) | ~spl0_28),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f307])).
% 30.35/5.56 thf(f1303,plain,(
% 30.35/5.56 ($true != (sK4 @ sK14)) | spl0_108),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f1302])).
% 30.35/5.56 thf(f8723,plain,(
% 30.35/5.56 spl0_18 | spl0_213 | ~spl0_21),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f8722,f222,f5514,f210])).
% 30.35/5.56 thf(f8722,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (((sK4 @ X1) = $false) | ($true = (sK4 @ $false))) ) | ~spl0_21),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f766,f224])).
% 30.35/5.56 thf(f766,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (($true = (sK4 @ (eps1 @ sK4))) | ((sK4 @ X1) = $false)) )),
% 30.35/5.56 introduced(definition,[],[choice_axiom])).
% 30.35/5.56 thf(f8711,plain,(
% 30.35/5.56 ~spl0_18 | ~spl0_21 | ~spl0_57 | ~spl0_59),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f8710])).
% 30.35/5.56 thf(f8710,plain,(
% 30.35/5.56 $false | (~spl0_18 | ~spl0_21 | ~spl0_57 | ~spl0_59)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f8709,f563])).
% 30.35/5.56 thf(f8709,plain,(
% 30.35/5.56 ((sK8 @ sK112) != $false) | (~spl0_18 | ~spl0_21 | ~spl0_57)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f8704,f211])).
% 30.35/5.56 thf(f8704,plain,(
% 30.35/5.56 ((sK8 @ sK112) != (sK4 @ sK112)) | (~spl0_21 | ~spl0_57)),
% 30.35/5.56 inference(negative_extensionality,[status(thm)],[f8703])).
% 30.35/5.56 thf(f8703,plain,(
% 30.35/5.56 (sK4 != sK8) | (~spl0_21 | ~spl0_57)),
% 30.35/5.56 inference(trivial_inequality_removal,[status(thm)],[f8698])).
% 30.35/5.56 thf(f8698,plain,(
% 30.35/5.56 (sK4 != sK8) | ($true = $false) | (~spl0_21 | ~spl0_57)),
% 30.35/5.56 inference(constrained_superposition,[status(thm)],[f553,f224])).
% 30.35/5.56 thf(f8663,plain,(
% 30.35/5.56 ~spl0_34 | spl0_35 | ~spl0_79 | ~spl0_83),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f8662])).
% 30.35/5.56 thf(f8662,plain,(
% 30.35/5.56 $false | (~spl0_34 | spl0_35 | ~spl0_79 | ~spl0_83)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f8661,f345])).
% 30.35/5.56 thf(f8661,plain,(
% 30.35/5.56 ((sK5 @ sK111) != $false) | (spl0_35 | ~spl0_79 | ~spl0_83)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f8656,f740])).
% 30.35/5.56 thf(f8656,plain,(
% 30.35/5.56 ((sK5 @ sK111) != (sK11 @ sK111)) | (spl0_35 | ~spl0_79)),
% 30.35/5.56 inference(negative_extensionality,[status(thm)],[f8655])).
% 30.35/5.56 thf(f8655,plain,(
% 30.35/5.56 (sK11 != sK5) | (spl0_35 | ~spl0_79)),
% 30.35/5.56 inference(trivial_inequality_removal,[status(thm)],[f8650])).
% 30.35/5.56 thf(f8650,plain,(
% 30.35/5.56 ($false != $false) | (sK11 != sK5) | (spl0_35 | ~spl0_79)),
% 30.35/5.56 inference(constrained_superposition,[status(thm)],[f349,f723])).
% 30.35/5.56 thf(f8339,plain,(
% 30.35/5.56 ~spl0_132 | ~spl0_23 | spl0_85),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f8338,f748,f257,f1742])).
% 30.35/5.56 thf(f8338,plain,(
% 30.35/5.56 (sK11 != sK2) | (~spl0_23 | spl0_85)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f750,f258])).
% 30.35/5.56 thf(f750,plain,(
% 30.35/5.56 (sK11 != sK3) | spl0_85),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f748])).
% 30.35/5.56 thf(f8301,plain,(
% 30.35/5.56 ~spl0_41 | ~spl0_93),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f8300])).
% 30.35/5.56 thf(f8300,plain,(
% 30.35/5.56 $false | (~spl0_41 | ~spl0_93)),
% 30.35/5.56 inference(trivial_inequality_removal,[status(thm)],[f8293])).
% 30.35/5.56 thf(f8293,plain,(
% 30.35/5.56 ($true = $false) | (~spl0_41 | ~spl0_93)),
% 30.35/5.56 inference(backward_demodulation,[status(thm)],[f1019,f433])).
% 30.35/5.56 thf(f8299,plain,(
% 30.35/5.56 ~spl0_41 | ~spl0_156),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f8298])).
% 30.35/5.56 thf(f8298,plain,(
% 30.35/5.56 $false | (~spl0_41 | ~spl0_156)),
% 30.35/5.56 inference(trivial_inequality_removal,[status(thm)],[f8294])).
% 30.35/5.56 thf(f8294,plain,(
% 30.35/5.56 ($true = $false) | (~spl0_41 | ~spl0_156)),
% 30.35/5.56 inference(backward_demodulation,[status(thm)],[f2337,f433])).
% 30.35/5.56 thf(f2337,plain,(
% 30.35/5.56 ($true = (sK6 @ sK25)) | ~spl0_156),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f2335])).
% 30.35/5.56 thf(f2335,definition,(
% 30.35/5.56 spl0_156 <=> ($true = (sK6 @ sK25))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_156])],[avatar_definition])).
% 30.35/5.56 thf(f8297,plain,(
% 30.35/5.56 ~spl0_41 | ~spl0_197),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f8296])).
% 30.35/5.56 thf(f8296,plain,(
% 30.35/5.56 $false | (~spl0_41 | ~spl0_197)),
% 30.35/5.56 inference(trivial_inequality_removal,[status(thm)],[f8295])).
% 30.35/5.56 thf(f8295,plain,(
% 30.35/5.56 ($true = $false) | (~spl0_41 | ~spl0_197)),
% 30.35/5.56 inference(backward_demodulation,[status(thm)],[f4002,f433])).
% 30.35/5.56 thf(f4002,plain,(
% 30.35/5.56 ($true = (sK6 @ sK70)) | ~spl0_197),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f4001])).
% 30.35/5.56 thf(f4001,definition,(
% 30.35/5.56 spl0_197 <=> ($true = (sK6 @ sK70))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_197])],[avatar_definition])).
% 30.35/5.56 thf(f8121,plain,(
% 30.35/5.56 ~spl0_81 | ~spl0_86 | ~spl0_114),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f8120])).
% 30.35/5.56 thf(f8120,plain,(
% 30.35/5.56 $false | (~spl0_81 | ~spl0_86 | ~spl0_114)),
% 30.35/5.56 inference(trivial_inequality_removal,[status(thm)],[f8119])).
% 30.35/5.56 thf(f8119,plain,(
% 30.35/5.56 ($true = $false) | (~spl0_81 | ~spl0_86 | ~spl0_114)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f8118,f1466])).
% 30.35/5.56 thf(f1466,plain,(
% 30.35/5.56 ((sK11 @ $true) = $false) | ~spl0_114),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f1465])).
% 30.35/5.56 thf(f8118,plain,(
% 30.35/5.56 ($true = (sK11 @ $true)) | (~spl0_81 | ~spl0_86)),
% 30.35/5.56 inference(backward_demodulation,[status(thm)],[f755,f732])).
% 30.35/5.56 thf(f8114,plain,(
% 30.35/5.56 ~spl0_82 | ~spl0_84 | spl0_111),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f8113])).
% 30.35/5.56 thf(f8113,plain,(
% 30.35/5.56 $false | (~spl0_82 | ~spl0_84 | spl0_111)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f8112,f1408])).
% 30.35/5.56 thf(f1408,plain,(
% 30.35/5.56 ((sK11 @ $false) != $true) | spl0_111),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f1407])).
% 30.35/5.56 thf(f8112,plain,(
% 30.35/5.56 ((sK11 @ $false) = $true) | (~spl0_82 | ~spl0_84)),
% 30.35/5.56 inference(backward_demodulation,[status(thm)],[f737,f745])).
% 30.35/5.56 thf(f8045,plain,(
% 30.35/5.56 ~spl0_56 | ~spl0_59 | ~spl0_80 | ~spl0_83),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f8044])).
% 30.35/5.56 thf(f8044,plain,(
% 30.35/5.56 $false | (~spl0_56 | ~spl0_59 | ~spl0_80 | ~spl0_83)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f8043,f563])).
% 30.35/5.56 thf(f8043,plain,(
% 30.35/5.56 ($false != (sK8 @ sK108)) | (~spl0_56 | ~spl0_80 | ~spl0_83)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f8037,f740])).
% 30.35/5.56 thf(f8037,plain,(
% 30.35/5.56 ((sK8 @ sK108) != (sK11 @ sK108)) | (~spl0_56 | ~spl0_80)),
% 30.35/5.56 inference(negative_extensionality,[status(thm)],[f8025])).
% 30.35/5.56 thf(f8025,plain,(
% 30.35/5.56 (sK11 != sK8) | (~spl0_56 | ~spl0_80)),
% 30.35/5.56 inference(trivial_inequality_removal,[status(thm)],[f8023])).
% 30.35/5.56 thf(f8023,plain,(
% 30.35/5.56 ($true = $false) | (sK11 != sK8) | (~spl0_56 | ~spl0_80)),
% 30.35/5.56 inference(constrained_superposition,[status(thm)],[f549,f726])).
% 30.35/5.56 thf(f7963,plain,(
% 30.35/5.56 ~spl0_29 | ~spl0_34 | ~spl0_58 | ~spl0_59),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f7962])).
% 30.35/5.56 thf(f7962,plain,(
% 30.35/5.56 $false | (~spl0_29 | ~spl0_34 | ~spl0_58 | ~spl0_59)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f7961,f345])).
% 30.35/5.56 thf(f7961,plain,(
% 30.35/5.56 ((sK5 @ sK107) != $false) | (~spl0_29 | ~spl0_58 | ~spl0_59)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f7955,f563])).
% 30.35/5.56 thf(f7955,plain,(
% 30.35/5.56 ((sK5 @ sK107) != (sK8 @ sK107)) | (~spl0_29 | ~spl0_58)),
% 30.35/5.56 inference(negative_extensionality,[status(thm)],[f7953])).
% 30.35/5.56 thf(f7953,plain,(
% 30.35/5.56 (sK8 != sK5) | (~spl0_29 | ~spl0_58)),
% 30.35/5.56 inference(trivial_inequality_removal,[status(thm)],[f7948])).
% 30.35/5.56 thf(f7948,plain,(
% 30.35/5.56 (sK8 != sK5) | ($true = $false) | (~spl0_29 | ~spl0_58)),
% 30.35/5.56 inference(constrained_superposition,[status(thm)],[f323,f559])).
% 30.35/5.56 thf(f7641,plain,(
% 30.35/5.56 spl0_2 | spl0_180 | ~spl0_6),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f7622,f115,f3060,f97])).
% 30.35/5.56 thf(f7622,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (((sK2 @ X1) = $false) | ($true = (sK2 @ $true))) ) | ~spl0_6),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f4369,f117])).
% 30.35/5.56 thf(f4369,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (((sK2 @ X1) = $false) | ($true = (sK2 @ (eps2 @ sK2)))) )),
% 30.35/5.56 introduced(definition,[],[choice_axiom])).
% 30.35/5.56 thf(f7570,plain,(
% 30.35/5.56 ~spl0_27 | ~spl0_180),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f7569])).
% 30.35/5.56 thf(f7569,plain,(
% 30.35/5.56 $false | (~spl0_27 | ~spl0_180)),
% 30.35/5.56 inference(trivial_inequality_removal,[status(thm)],[f7568])).
% 30.35/5.56 thf(f7568,plain,(
% 30.35/5.56 ($true = $false) | (~spl0_27 | ~spl0_180)),
% 30.35/5.56 inference(backward_demodulation,[status(thm)],[f3062,f304])).
% 30.35/5.56 thf(f304,plain,(
% 30.35/5.56 ((sK2 @ $true) = $false) | ~spl0_27),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f303])).
% 30.35/5.56 thf(f303,definition,(
% 30.35/5.56 spl0_27 <=> ((sK2 @ $true) = $false)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_27])],[avatar_definition])).
% 30.35/5.56 thf(f7523,plain,(
% 30.35/5.56 ~spl0_2 | ~spl0_59 | spl0_61),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f7522])).
% 30.35/5.56 thf(f7522,plain,(
% 30.35/5.56 $false | (~spl0_2 | ~spl0_59 | spl0_61)),
% 30.35/5.56 inference(trivial_inequality_removal,[status(thm)],[f7521])).
% 30.35/5.56 thf(f7521,plain,(
% 30.35/5.56 ($false != $false) | (~spl0_2 | ~spl0_59 | spl0_61)),
% 30.35/5.56 inference(superposition,[status(thm)],[f5769,f563])).
% 30.35/5.56 thf(f5769,plain,(
% 30.35/5.56 ((sK8 @ sK89) != $false) | (~spl0_2 | spl0_61)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f5765,f98])).
% 30.35/5.56 thf(f5765,plain,(
% 30.35/5.56 ((sK2 @ sK89) != (sK8 @ sK89)) | spl0_61),
% 30.35/5.56 inference(negative_extensionality,[status(thm)],[f572])).
% 30.35/5.56 thf(f7471,plain,(
% 30.35/5.56 ~spl0_233 | ~spl0_226 | spl0_232),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f7424,f7311,f7278,f7396])).
% 30.35/5.56 thf(f7424,plain,(
% 30.35/5.56 ($true != (sK7 @ $false)) | (~spl0_226 | spl0_232)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f7312,f7279])).
% 30.35/5.56 thf(f7279,plain,(
% 30.35/5.56 (sK68 = $false) | ~spl0_226),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f7278])).
% 30.35/5.56 thf(f7312,plain,(
% 30.35/5.56 ($true != (sK7 @ sK68)) | spl0_232),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f7311])).
% 30.35/5.56 thf(f7463,plain,(
% 30.35/5.56 spl0_184 | ~spl0_146 | ~spl0_212),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f7462,f5250,f1983,f3579])).
% 30.35/5.56 thf(f7462,plain,(
% 30.35/5.56 (sK3 = sK7) | (~spl0_146 | ~spl0_212)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f5251,f1984])).
% 30.35/5.56 thf(f7459,plain,(
% 30.35/5.56 ~spl0_134 | ~spl0_132 | ~spl0_133),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f7458,f1758,f1742,f1766])).
% 30.35/5.56 thf(f7458,plain,(
% 30.35/5.56 ((eps5 @ sK2) != $true) | (~spl0_132 | ~spl0_133)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f6152,f1760])).
% 30.35/5.56 thf(f6152,plain,(
% 30.35/5.56 ((eps5 @ sK2) != (eps1 @ sK2)) | ~spl0_132),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f86,f1743])).
% 30.35/5.56 thf(f7454,plain,(
% 30.35/5.56 spl0_34 | ~spl0_29 | spl0_101),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f7453,f1229,f322,f344])).
% 30.35/5.56 thf(f7453,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (($false = (sK5 @ X1))) ) | (~spl0_29 | spl0_101)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f7452,f1230])).
% 30.35/5.56 thf(f1230,plain,(
% 30.35/5.56 ($true != (sK5 @ $false)) | spl0_101),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f1229])).
% 30.35/5.56 thf(f7452,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (($false = (sK5 @ X1)) | ($true = (sK5 @ $false))) ) | ~spl0_29),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f1633,f323])).
% 30.35/5.56 thf(f7451,plain,(
% 30.35/5.56 spl0_34 | spl0_121 | ~spl0_32),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f7450,f335,f1531,f344])).
% 30.35/5.56 thf(f7450,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (($true = (sK5 @ $true)) | ($false = (sK5 @ X1))) ) | ~spl0_32),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f4714,f337])).
% 30.35/5.56 thf(f4714,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (((sK5 @ (eps5 @ sK5)) = $true) | ($false = (sK5 @ X1))) )),
% 30.35/5.56 introduced(definition,[],[choice_axiom])).
% 30.35/5.56 thf(f7428,plain,(
% 30.35/5.56 ~spl0_226 | ~spl0_230 | ~spl0_233),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f7427])).
% 30.35/5.56 thf(f7427,plain,(
% 30.35/5.56 $false | (~spl0_226 | ~spl0_230 | ~spl0_233)),
% 30.35/5.56 inference(trivial_inequality_removal,[status(thm)],[f7426])).
% 30.35/5.56 thf(f7426,plain,(
% 30.35/5.56 ($true = $false) | (~spl0_226 | ~spl0_230 | ~spl0_233)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f7398,f7419])).
% 30.35/5.56 thf(f7419,plain,(
% 30.35/5.56 ((sK7 @ $false) = $false) | (~spl0_226 | ~spl0_230)),
% 30.35/5.56 inference(backward_demodulation,[status(thm)],[f7299,f7279])).
% 30.35/5.56 thf(f7299,plain,(
% 30.35/5.56 ((sK7 @ sK68) = $false) | ~spl0_230),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f7297])).
% 30.35/5.56 thf(f7297,definition,(
% 30.35/5.56 spl0_230 <=> ((sK7 @ sK68) = $false)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_230])],[avatar_definition])).
% 30.35/5.56 thf(f7414,plain,(
% 30.35/5.56 ~spl0_230 | ~spl0_232),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f7413])).
% 30.35/5.56 thf(f7413,plain,(
% 30.35/5.56 $false | (~spl0_230 | ~spl0_232)),
% 30.35/5.56 inference(trivial_inequality_removal,[status(thm)],[f7412])).
% 30.35/5.56 thf(f7412,plain,(
% 30.35/5.56 ($true = $false) | (~spl0_230 | ~spl0_232)),
% 30.35/5.56 inference(backward_demodulation,[status(thm)],[f7313,f7299])).
% 30.35/5.56 thf(f7411,plain,(
% 30.35/5.56 spl0_233 | ~spl0_47 | ~spl0_51),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f7410,f499,f482,f7396])).
% 30.35/5.56 thf(f7410,plain,(
% 30.35/5.56 ($true = (sK7 @ $false)) | (~spl0_47 | ~spl0_51)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f484,f501])).
% 30.35/5.56 thf(f484,plain,(
% 30.35/5.56 ($true = (sK7 @ (eps4 @ sK7))) | ~spl0_47),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f482])).
% 30.35/5.56 thf(f7390,plain,(
% 30.35/5.56 ~spl0_30 | ~spl0_31 | ~spl0_147),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f7389])).
% 30.35/5.56 thf(f7389,plain,(
% 30.35/5.56 $false | (~spl0_30 | ~spl0_31 | ~spl0_147)),
% 30.35/5.56 inference(trivial_inequality_removal,[status(thm)],[f7388])).
% 30.35/5.56 thf(f7388,plain,(
% 30.35/5.56 ($true = $false) | (~spl0_30 | ~spl0_31 | ~spl0_147)),
% 30.35/5.56 inference(backward_demodulation,[status(thm)],[f5591,f2002])).
% 30.35/5.56 thf(f5591,plain,(
% 30.35/5.56 ($true = (eps4 @ sK3)) | (~spl0_30 | ~spl0_31)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f333,f327])).
% 30.35/5.56 thf(f7363,plain,(
% 30.35/5.56 ~spl0_51 | spl0_147 | ~spl0_184),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f7362])).
% 30.35/5.56 thf(f7362,plain,(
% 30.35/5.56 $false | (~spl0_51 | spl0_147 | ~spl0_184)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f7360,f2001])).
% 30.35/5.56 thf(f2001,plain,(
% 30.35/5.56 ((eps4 @ sK3) != $false) | spl0_147),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f2000])).
% 30.35/5.56 thf(f7360,plain,(
% 30.35/5.56 ((eps4 @ sK3) = $false) | (~spl0_51 | ~spl0_184)),
% 30.35/5.56 inference(backward_demodulation,[status(thm)],[f501,f3580])).
% 30.35/5.56 thf(f7350,plain,(
% 30.35/5.56 ~spl0_59 | ~spl0_158),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f7349])).
% 30.35/5.56 thf(f7349,plain,(
% 30.35/5.56 $false | (~spl0_59 | ~spl0_158)),
% 30.35/5.56 inference(trivial_inequality_removal,[status(thm)],[f7344])).
% 30.35/5.56 thf(f7344,plain,(
% 30.35/5.56 ($true = $false) | (~spl0_59 | ~spl0_158)),
% 30.35/5.56 inference(backward_demodulation,[status(thm)],[f2365,f563])).
% 30.35/5.56 thf(f7348,plain,(
% 30.35/5.56 ~spl0_59 | ~spl0_157),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f7347])).
% 30.35/5.56 thf(f7347,plain,(
% 30.35/5.56 $false | (~spl0_59 | ~spl0_157)),
% 30.35/5.56 inference(trivial_inequality_removal,[status(thm)],[f7345])).
% 30.35/5.56 thf(f7345,plain,(
% 30.35/5.56 ($true = $false) | (~spl0_59 | ~spl0_157)),
% 30.35/5.56 inference(backward_demodulation,[status(thm)],[f2341,f563])).
% 30.35/5.56 thf(f2341,plain,(
% 30.35/5.56 ($true = (sK8 @ sK25)) | ~spl0_157),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f2339])).
% 30.35/5.56 thf(f2339,definition,(
% 30.35/5.56 spl0_157 <=> ($true = (sK8 @ sK25))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_157])],[avatar_definition])).
% 30.35/5.56 thf(f7339,plain,(
% 30.35/5.56 ~spl0_37 | spl0_225 | ~spl0_226),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f7338])).
% 30.35/5.56 thf(f7338,plain,(
% 30.35/5.56 $false | (~spl0_37 | spl0_225 | ~spl0_226)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f7337,f375])).
% 30.35/5.56 thf(f7337,plain,(
% 30.35/5.56 ((sK3 @ $false) != $true) | (spl0_225 | ~spl0_226)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f7276,f7279])).
% 30.35/5.56 thf(f7325,plain,(
% 30.35/5.56 ~spl0_184 | ~spl0_9 | ~spl0_53),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f6798,f508,f146,f3579])).
% 30.35/5.56 thf(f6798,plain,(
% 30.35/5.56 (sK3 != sK7) | (~spl0_9 | ~spl0_53)),
% 30.35/5.56 inference(trivial_inequality_removal,[status(thm)],[f6786])).
% 30.35/5.56 thf(f6786,plain,(
% 30.35/5.56 ($true = $false) | (sK3 != sK7) | (~spl0_9 | ~spl0_53)),
% 30.35/5.56 inference(constrained_superposition,[status(thm)],[f148,f509])).
% 30.35/5.56 thf(f7315,plain,(
% 30.35/5.56 ~spl0_184 | ~spl0_44 | ~spl0_53 | ~spl0_142),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f6860,f1961,f508,f446,f3579])).
% 30.35/5.56 thf(f6860,plain,(
% 30.35/5.56 (sK3 != sK7) | (~spl0_44 | ~spl0_53 | ~spl0_142)),
% 30.35/5.56 inference(backward_demodulation,[status(thm)],[f6797,f1962])).
% 30.35/5.56 thf(f6797,plain,(
% 30.35/5.56 (sK6 != sK7) | (~spl0_44 | ~spl0_53)),
% 30.35/5.56 inference(trivial_inequality_removal,[status(thm)],[f6791])).
% 30.35/5.56 thf(f6791,plain,(
% 30.35/5.56 ($true = $false) | (sK6 != sK7) | (~spl0_44 | ~spl0_53)),
% 30.35/5.56 inference(constrained_superposition,[status(thm)],[f448,f509])).
% 30.35/5.56 thf(f7314,plain,(
% 30.35/5.56 spl0_232 | spl0_225 | spl0_184),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f7265,f3579,f7274,f7311])).
% 30.35/5.56 thf(f7265,plain,(
% 30.35/5.56 ($true = (sK7 @ sK68)) | ($true = (sK3 @ sK68)) | spl0_184),
% 30.35/5.56 inference(binary_proxy_clausification,[status(thm)],[f3584])).
% 30.35/5.56 thf(f3584,plain,(
% 30.35/5.56 ((sK7 @ sK68) != (sK3 @ sK68)) | spl0_184),
% 30.35/5.56 inference(negative_extensionality,[status(thm)],[f3581])).
% 30.35/5.56 thf(f7304,plain,(
% 30.35/5.56 spl0_230 | ~spl0_225 | spl0_184),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f7268,f3579,f7274,f7297])).
% 30.35/5.56 thf(f7268,plain,(
% 30.35/5.56 ($true != (sK3 @ sK68)) | ((sK7 @ sK68) = $false) | spl0_184),
% 30.35/5.56 inference(fool_paramodulation,[status(thm)],[f3584])).
% 30.35/5.56 thf(f7303,plain,(
% 30.35/5.56 spl0_226 | ~spl0_9 | ~spl0_12 | ~spl0_120 | spl0_184),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f7302,f3579,f1517,f159,f146,f7278])).
% 30.35/5.56 thf(f7302,plain,(
% 30.35/5.56 (sK68 = $false) | (~spl0_9 | ~spl0_12 | ~spl0_120 | spl0_184)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f7301,f406])).
% 30.35/5.56 thf(f7301,plain,(
% 30.35/5.56 (sK68 = $false) | ($true != (sK3 @ $true)) | (~spl0_120 | spl0_184)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f7267,f1519])).
% 30.35/5.56 thf(f7267,plain,(
% 30.35/5.56 ((sK3 @ $true) != (sK7 @ $true)) | (sK68 = $false) | spl0_184),
% 30.35/5.56 inference(fool_paramodulation,[status(thm)],[f3584])).
% 30.35/5.56 thf(f7291,plain,(
% 30.35/5.56 ~spl0_225 | ~spl0_228 | ~spl0_120 | spl0_184),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f7272,f3579,f1517,f7288,f7274])).
% 30.35/5.56 thf(f7272,plain,(
% 30.35/5.56 (sK68 != $true) | ($true != (sK3 @ sK68)) | (~spl0_120 | spl0_184)),
% 30.35/5.56 inference(constrained_superposition,[status(thm)],[f3584,f1519])).
% 30.35/5.56 thf(f7286,plain,(
% 30.35/5.56 ~spl0_227 | ~spl0_225 | spl0_184 | ~spl0_186),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f7270,f3717,f3579,f7274,f7283])).
% 30.35/5.56 thf(f7270,plain,(
% 30.35/5.56 ($true != (sK3 @ sK68)) | (sK68 != sK66) | (spl0_184 | ~spl0_186)),
% 30.35/5.56 inference(constrained_superposition,[status(thm)],[f3584,f3719])).
% 30.35/5.56 thf(f7033,plain,(
% 30.35/5.56 ~spl0_37 | ~spl0_153 | spl0_219),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f7032])).
% 30.35/5.56 thf(f7032,plain,(
% 30.35/5.56 $false | (~spl0_37 | ~spl0_153 | spl0_219)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f7031,f375])).
% 30.35/5.56 thf(f7031,plain,(
% 30.35/5.56 ((sK3 @ $false) != $true) | (~spl0_153 | spl0_219)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f6959,f2178])).
% 30.35/5.56 thf(f2178,plain,(
% 30.35/5.56 ($false = sK51) | ~spl0_153),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f2176])).
% 30.35/5.56 thf(f2176,definition,(
% 30.35/5.56 spl0_153 <=> ($false = sK51)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_153])],[avatar_definition])).
% 30.35/5.56 thf(f6959,plain,(
% 30.35/5.56 ($true != (sK3 @ sK51)) | spl0_219),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f6957])).
% 30.35/5.56 thf(f6957,definition,(
% 30.35/5.56 spl0_219 <=> ($true = (sK3 @ sK51))),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_219])],[avatar_definition])).
% 30.35/5.56 thf(f6979,plain,(
% 30.35/5.56 spl0_153 | ~spl0_9 | ~spl0_12 | ~spl0_94 | spl0_146),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f6978,f1983,f1037,f159,f146,f2176])).
% 30.35/5.56 thf(f6978,plain,(
% 30.35/5.56 ($false = sK51) | (~spl0_9 | ~spl0_12 | ~spl0_94 | spl0_146)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f6977,f406])).
% 30.35/5.56 thf(f6977,plain,(
% 30.35/5.56 ($false = sK51) | ($true != (sK3 @ $true)) | (~spl0_94 | spl0_146)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f6948,f1039])).
% 30.35/5.56 thf(f6948,plain,(
% 30.35/5.56 ((sK3 @ $true) != (sK4 @ $true)) | ($false = sK51) | spl0_146),
% 30.35/5.56 inference(fool_paramodulation,[status(thm)],[f2045])).
% 30.35/5.56 thf(f2045,plain,(
% 30.35/5.56 ((sK4 @ sK51) != (sK3 @ sK51)) | spl0_146),
% 30.35/5.56 inference(negative_extensionality,[status(thm)],[f1985])).
% 30.35/5.56 thf(f6976,plain,(
% 30.35/5.56 ~spl0_153 | ~spl0_219 | spl0_146 | ~spl0_213),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f6950,f5514,f1983,f6957,f2176])).
% 30.35/5.56 thf(f6950,plain,(
% 30.35/5.56 ($false != sK51) | ($true != (sK3 @ sK51)) | (spl0_146 | ~spl0_213)),
% 30.35/5.56 inference(constrained_superposition,[status(thm)],[f2045,f5516])).
% 30.35/5.56 thf(f6864,plain,(
% 30.35/5.56 ~spl0_39 | ~spl0_142 | spl0_145),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f6863])).
% 30.35/5.56 thf(f6863,plain,(
% 30.35/5.56 $false | (~spl0_39 | ~spl0_142 | spl0_145)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f6626,f1962])).
% 30.35/5.56 thf(f6626,plain,(
% 30.35/5.56 (sK3 != sK6) | (~spl0_39 | spl0_145)),
% 30.35/5.56 inference(trivial_inequality_removal,[status(thm)],[f6623])).
% 30.35/5.56 thf(f6623,plain,(
% 30.35/5.56 ($false != $false) | (sK3 != sK6) | (~spl0_39 | spl0_145)),
% 30.35/5.56 inference(constrained_superposition,[status(thm)],[f1979,f425])).
% 30.35/5.56 thf(f6862,plain,(
% 30.35/5.56 ~spl0_39 | ~spl0_142 | spl0_145),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f6861])).
% 30.35/5.56 thf(f6861,plain,(
% 30.35/5.56 $false | (~spl0_39 | ~spl0_142 | spl0_145)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f6857,f1979])).
% 30.35/5.56 thf(f6857,plain,(
% 30.35/5.56 ($false = (eps1 @ sK3)) | (~spl0_39 | ~spl0_142)),
% 30.35/5.56 inference(backward_demodulation,[status(thm)],[f425,f1962])).
% 30.35/5.56 thf(f6854,plain,(
% 30.35/5.56 ~spl0_142 | ~spl0_39 | ~spl0_144),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f6609,f1971,f423,f1961])).
% 30.35/5.56 thf(f6609,plain,(
% 30.35/5.56 (sK3 != sK6) | (~spl0_39 | ~spl0_144)),
% 30.35/5.56 inference(trivial_inequality_removal,[status(thm)],[f6606])).
% 30.35/5.56 thf(f6606,plain,(
% 30.35/5.56 (sK3 != sK6) | ($true = $false) | (~spl0_39 | ~spl0_144)),
% 30.35/5.56 inference(constrained_superposition,[status(thm)],[f425,f1973])).
% 30.35/5.56 thf(f6848,plain,(
% 30.35/5.56 ~spl0_9 | ~spl0_12 | ~spl0_37 | ~spl0_92 | ~spl0_93 | spl0_142),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f6847])).
% 30.35/5.56 thf(f6847,plain,(
% 30.35/5.56 $false | (~spl0_9 | ~spl0_12 | ~spl0_37 | ~spl0_92 | ~spl0_93 | spl0_142)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f6846,f375])).
% 30.35/5.56 thf(f6846,plain,(
% 30.35/5.56 ((sK3 @ $false) != $true) | (~spl0_9 | ~spl0_12 | ~spl0_92 | ~spl0_93 | spl0_142)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f6845,f6826])).
% 30.35/5.56 thf(f6826,plain,(
% 30.35/5.56 (sK49 = $false) | (~spl0_9 | ~spl0_12 | ~spl0_93 | spl0_142)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f6825,f406])).
% 30.35/5.56 thf(f6825,plain,(
% 30.35/5.56 (sK49 = $false) | ($true != (sK3 @ $true)) | (~spl0_93 | spl0_142)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f6818,f1019])).
% 30.35/5.56 thf(f6818,plain,(
% 30.35/5.56 (sK49 = $false) | ((sK3 @ $true) != (sK6 @ $true)) | spl0_142),
% 30.35/5.56 inference(fool_paramodulation,[status(thm)],[f2024])).
% 30.35/5.56 thf(f2024,plain,(
% 30.35/5.56 ((sK3 @ sK49) != (sK6 @ sK49)) | spl0_142),
% 30.35/5.56 inference(negative_extensionality,[status(thm)],[f1963])).
% 30.35/5.56 thf(f6845,plain,(
% 30.35/5.56 ($true != (sK3 @ sK49)) | (~spl0_9 | ~spl0_12 | ~spl0_92 | ~spl0_93 | spl0_142)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f6821,f6826])).
% 30.35/5.56 thf(f6821,plain,(
% 30.35/5.56 ($true != (sK3 @ sK49)) | (sK49 != $false) | (~spl0_92 | spl0_142)),
% 30.35/5.56 inference(constrained_superposition,[status(thm)],[f2024,f1011])).
% 30.35/5.56 thf(f6713,plain,(
% 30.35/5.56 ~spl0_47 | ~spl0_51 | spl0_55 | ~spl0_87 | ~spl0_120 | ~spl0_158),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f6712])).
% 30.35/5.56 thf(f6712,plain,(
% 30.35/5.56 $false | (~spl0_47 | ~spl0_51 | spl0_55 | ~spl0_87 | ~spl0_120 | ~spl0_158)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f6711,f6080])).
% 30.35/5.56 thf(f6080,plain,(
% 30.35/5.56 ($true = (sK7 @ $false)) | (~spl0_47 | ~spl0_51)),
% 30.35/5.56 inference(backward_demodulation,[status(thm)],[f484,f501])).
% 30.35/5.56 thf(f6711,plain,(
% 30.35/5.56 ($true != (sK7 @ $false)) | (~spl0_51 | spl0_55 | ~spl0_87 | ~spl0_120 | ~spl0_158)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f6710,f6698])).
% 30.35/5.56 thf(f6698,plain,(
% 30.35/5.56 ($false = sK102) | (~spl0_51 | spl0_55 | ~spl0_120 | ~spl0_158)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f6697,f1519])).
% 30.35/5.56 thf(f6697,plain,(
% 30.35/5.56 ($false = sK102) | ($true != (sK7 @ $true)) | (~spl0_51 | spl0_55 | ~spl0_158)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f6682,f2365])).
% 30.35/5.56 thf(f6682,plain,(
% 30.35/5.56 ($false = sK102) | ((sK7 @ $true) != (sK8 @ $true)) | (~spl0_51 | spl0_55)),
% 30.35/5.56 inference(fool_paramodulation,[status(thm)],[f6444])).
% 30.35/5.56 thf(f6444,plain,(
% 30.35/5.56 ((sK7 @ sK102) != (sK8 @ sK102)) | (~spl0_51 | spl0_55)),
% 30.35/5.56 inference(negative_extensionality,[status(thm)],[f6438])).
% 30.35/5.56 thf(f6438,plain,(
% 30.35/5.56 (sK8 != sK7) | (~spl0_51 | spl0_55)),
% 30.35/5.56 inference(trivial_inequality_removal,[status(thm)],[f6435])).
% 30.35/5.56 thf(f6435,plain,(
% 30.35/5.56 ($false != $false) | (sK8 != sK7) | (~spl0_51 | spl0_55)),
% 30.35/5.56 inference(constrained_superposition,[status(thm)],[f544,f501])).
% 30.35/5.56 thf(f6710,plain,(
% 30.35/5.56 ($true != (sK7 @ sK102)) | (~spl0_51 | spl0_55 | ~spl0_87 | ~spl0_120 | ~spl0_158)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f6687,f6698])).
% 30.35/5.56 thf(f6687,plain,(
% 30.35/5.56 ($false != sK102) | ($true != (sK7 @ sK102)) | (~spl0_51 | spl0_55 | ~spl0_87)),
% 30.35/5.56 inference(constrained_superposition,[status(thm)],[f6444,f855])).
% 30.35/5.56 thf(f6379,plain,(
% 30.35/5.56 ~spl0_120 | spl0_186 | spl0_189),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f6378])).
% 30.35/5.56 thf(f6378,plain,(
% 30.35/5.56 $false | (~spl0_120 | spl0_186 | spl0_189)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f6377,f1519])).
% 30.35/5.56 thf(f6377,plain,(
% 30.35/5.56 ($true != (sK7 @ $true)) | (spl0_186 | spl0_189)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f6366,f3733])).
% 30.35/5.56 thf(f3733,plain,(
% 30.35/5.56 ($false != sK66) | spl0_189),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f3731])).
% 30.35/5.56 thf(f3731,definition,(
% 30.35/5.56 spl0_189 <=> ($false = sK66)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_189])],[avatar_definition])).
% 30.35/5.56 thf(f6366,plain,(
% 30.35/5.56 ($false = sK66) | ($true != (sK7 @ $true)) | spl0_186),
% 30.35/5.56 inference(fool_paramodulation,[status(thm)],[f3718])).
% 30.35/5.56 thf(f6376,plain,(
% 30.35/5.56 spl0_186 | spl0_187),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f6375])).
% 30.35/5.56 thf(f6375,plain,(
% 30.35/5.56 $false | (spl0_186 | spl0_187)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f6373,f3723])).
% 30.35/5.56 thf(f3723,plain,(
% 30.35/5.56 ((sK7 @ sK66) != $false) | spl0_187),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f3722])).
% 30.35/5.56 thf(f3722,definition,(
% 30.35/5.56 spl0_187 <=> ((sK7 @ sK66) = $false)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_187])],[avatar_definition])).
% 30.35/5.56 thf(f6373,plain,(
% 30.35/5.56 ((sK7 @ sK66) = $false) | spl0_186),
% 30.35/5.56 inference(trivial_inequality_removal,[status(thm)],[f6367])).
% 30.35/5.56 thf(f6367,plain,(
% 30.35/5.56 ((sK7 @ sK66) = $false) | ($true != $true) | spl0_186),
% 30.35/5.56 inference(fool_paramodulation,[status(thm)],[f3718])).
% 30.35/5.56 thf(f6353,plain,(
% 30.35/5.56 spl0_181 | ~spl0_187 | spl0_189),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f6352])).
% 30.35/5.56 thf(f6352,plain,(
% 30.35/5.56 $false | (spl0_181 | ~spl0_187 | spl0_189)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f6351,f3415])).
% 30.35/5.56 thf(f3415,plain,(
% 30.35/5.56 ((sK7 @ $true) != $false) | spl0_181),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f3413])).
% 30.35/5.56 thf(f6351,plain,(
% 30.35/5.56 ((sK7 @ $true) = $false) | (~spl0_187 | spl0_189)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f6327,f3733])).
% 30.35/5.56 thf(f6327,plain,(
% 30.35/5.56 ($false = sK66) | ((sK7 @ $true) = $false) | ~spl0_187),
% 30.35/5.56 inference(fool_paramodulation,[status(thm)],[f3724])).
% 30.35/5.56 thf(f3724,plain,(
% 30.35/5.56 ((sK7 @ sK66) = $false) | ~spl0_187),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f3722])).
% 30.35/5.56 thf(f6158,plain,(
% 30.35/5.56 ~spl0_131 | ~spl0_25 | ~spl0_132),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f6157,f1742,f267,f1735])).
% 30.35/5.56 thf(f6157,plain,(
% 30.35/5.56 ((eps1 @ sK2) != $false) | (~spl0_25 | ~spl0_132)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f6152,f269])).
% 30.35/5.56 thf(f6150,plain,(
% 30.35/5.56 ~spl0_80 | ~spl0_131 | ~spl0_132),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f6149])).
% 30.35/5.56 thf(f6149,plain,(
% 30.35/5.56 $false | (~spl0_80 | ~spl0_131 | ~spl0_132)),
% 30.35/5.56 inference(trivial_inequality_removal,[status(thm)],[f6148])).
% 30.35/5.56 thf(f6148,plain,(
% 30.35/5.56 ($true = $false) | (~spl0_80 | ~spl0_131 | ~spl0_132)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f6147,f1737])).
% 30.35/5.56 thf(f6147,plain,(
% 30.35/5.56 ($true = (eps1 @ sK2)) | (~spl0_80 | ~spl0_132)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f726,f1743])).
% 30.35/5.56 thf(f6137,plain,(
% 30.35/5.56 spl0_25 | ~spl0_64 | ~spl0_129),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f6082,f1725,f605,f267])).
% 30.35/5.56 thf(f6082,plain,(
% 30.35/5.56 ((eps5 @ sK2) = $false) | (~spl0_64 | ~spl0_129)),
% 30.35/5.56 inference(backward_demodulation,[status(thm)],[f607,f1726])).
% 30.35/5.56 thf(f6132,plain,(
% 30.35/5.56 spl0_120 | ~spl0_49 | ~spl0_50),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f6122,f495,f490,f1517])).
% 30.35/5.56 thf(f6122,plain,(
% 30.35/5.56 ($true = (sK7 @ $true)) | (~spl0_49 | ~spl0_50)),
% 30.35/5.56 inference(backward_demodulation,[status(thm)],[f492,f496])).
% 30.35/5.56 thf(f6129,plain,(
% 30.35/5.56 ~spl0_92 | ~spl0_155 | ~spl0_204),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f6128])).
% 30.35/5.56 thf(f6128,plain,(
% 30.35/5.56 $false | (~spl0_92 | ~spl0_155 | ~spl0_204)),
% 30.35/5.56 inference(trivial_inequality_removal,[status(thm)],[f6127])).
% 30.35/5.56 thf(f6127,plain,(
% 30.35/5.56 ($true = $false) | (~spl0_92 | ~spl0_155 | ~spl0_204)),
% 30.35/5.56 inference(backward_demodulation,[status(thm)],[f1011,f6126])).
% 30.35/5.56 thf(f6126,plain,(
% 30.35/5.56 ((sK6 @ $false) = $false) | (~spl0_155 | ~spl0_204)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f2332,f4055])).
% 30.35/5.56 thf(f4055,plain,(
% 30.35/5.56 (sK25 = $false) | ~spl0_204),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f4053])).
% 30.35/5.56 thf(f4053,definition,(
% 30.35/5.56 spl0_204 <=> (sK25 = $false)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_204])],[avatar_definition])).
% 30.35/5.56 thf(f2332,plain,(
% 30.35/5.56 ((sK6 @ sK25) = $false) | ~spl0_155),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f2330])).
% 30.35/5.56 thf(f2330,definition,(
% 30.35/5.56 spl0_155 <=> ((sK6 @ sK25) = $false)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_155])],[avatar_definition])).
% 30.35/5.56 thf(f6125,plain,(
% 30.35/5.56 ~spl0_49 | ~spl0_50 | ~spl0_181),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f6124])).
% 30.35/5.56 thf(f6124,plain,(
% 30.35/5.56 $false | (~spl0_49 | ~spl0_50 | ~spl0_181)),
% 30.35/5.56 inference(trivial_inequality_removal,[status(thm)],[f6123])).
% 30.35/5.56 thf(f6123,plain,(
% 30.35/5.56 ($true = $false) | (~spl0_49 | ~spl0_50 | ~spl0_181)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f6122,f3414])).
% 30.35/5.56 thf(f3414,plain,(
% 30.35/5.56 ((sK7 @ $true) = $false) | ~spl0_181),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f3413])).
% 30.35/5.56 thf(f6094,plain,(
% 30.35/5.56 ~spl0_120 | ~spl0_181),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f6093])).
% 30.35/5.56 thf(f6093,plain,(
% 30.35/5.56 $false | (~spl0_120 | ~spl0_181)),
% 30.35/5.56 inference(trivial_inequality_removal,[status(thm)],[f6092])).
% 30.35/5.56 thf(f6092,plain,(
% 30.35/5.56 ($true = $false) | (~spl0_120 | ~spl0_181)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f1519,f3414])).
% 30.35/5.56 thf(f6091,plain,(
% 30.35/5.56 ~spl0_123 | ~spl0_124),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f6090])).
% 30.35/5.56 thf(f6090,plain,(
% 30.35/5.56 $false | (~spl0_123 | ~spl0_124)),
% 30.35/5.56 inference(trivial_inequality_removal,[status(thm)],[f6089])).
% 30.35/5.56 thf(f6089,plain,(
% 30.35/5.56 ($true = $false) | (~spl0_123 | ~spl0_124)),
% 30.35/5.56 inference(backward_demodulation,[status(thm)],[f1648,f1653])).
% 30.35/5.56 thf(f1648,plain,(
% 30.35/5.56 ($true = (sK7 @ sK17)) | ~spl0_123),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f1646])).
% 30.35/5.56 thf(f6073,plain,(
% 30.35/5.56 ~spl0_2 | ~spl0_68 | spl0_129),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f6072])).
% 30.35/5.56 thf(f6072,plain,(
% 30.35/5.56 $false | (~spl0_2 | ~spl0_68 | spl0_129)),
% 30.35/5.56 inference(trivial_inequality_removal,[status(thm)],[f6071])).
% 30.35/5.56 thf(f6071,plain,(
% 30.35/5.56 ($false != $false) | (~spl0_2 | ~spl0_68 | spl0_129)),
% 30.35/5.56 inference(superposition,[status(thm)],[f5404,f98])).
% 30.35/5.56 thf(f5404,plain,(
% 30.35/5.56 ((sK2 @ sK84) != $false) | (~spl0_68 | spl0_129)),
% 30.35/5.56 inference(backward_demodulation,[status(thm)],[f5193,f626])).
% 30.35/5.56 thf(f5193,plain,(
% 30.35/5.56 ((sK2 @ sK84) != (sK9 @ sK84)) | spl0_129),
% 30.35/5.56 inference(negative_extensionality,[status(thm)],[f1727])).
% 30.35/5.56 thf(f5965,plain,(
% 30.35/5.56 spl0_46 | spl0_103 | ~spl0_117),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f5964])).
% 30.35/5.56 thf(f5964,plain,(
% 30.35/5.56 $false | (spl0_46 | spl0_103 | ~spl0_117)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f5963,f472])).
% 30.35/5.56 thf(f5963,plain,(
% 30.35/5.56 (sK16 = $false) | (spl0_103 | ~spl0_117)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f5948,f1251])).
% 30.35/5.56 thf(f1251,plain,(
% 30.35/5.56 ($false != (sK5 @ $true)) | spl0_103),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f1249])).
% 30.35/5.56 thf(f5948,plain,(
% 30.35/5.56 ($false = (sK5 @ $true)) | (sK16 = $false) | ~spl0_117),
% 30.35/5.56 inference(fool_paramodulation,[status(thm)],[f1500])).
% 30.35/5.56 thf(f1500,plain,(
% 30.35/5.56 ((sK5 @ sK16) = $false) | ~spl0_117),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f1498])).
% 30.35/5.56 thf(f1498,definition,(
% 30.35/5.56 spl0_117 <=> ((sK5 @ sK16) = $false)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_117])],[avatar_definition])).
% 30.35/5.56 thf(f5715,plain,(
% 30.35/5.56 spl0_18 | ~spl0_2 | ~spl0_17),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f5714,f205,f97,f210])).
% 30.35/5.56 thf(f5714,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (((sK4 @ X1) = $false)) ) | (~spl0_2 | ~spl0_17)),
% 30.35/5.56 inference(forward_demodulation,[status(thm)],[f5705,f98])).
% 30.35/5.56 thf(f5705,plain,(
% 30.35/5.56 ( ! [X1 : $o] : (((sK2 @ X1) = (sK4 @ X1))) ) | ~spl0_17),
% 30.35/5.56 inference(argument_congruence,[status(thm)],[f206])).
% 30.35/5.56 thf(f5622,plain,(
% 30.35/5.56 spl0_9 | ~spl0_72 | ~spl0_73),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f5619,f673,f668,f146])).
% 30.35/5.56 thf(f5619,plain,(
% 30.35/5.56 ($true = (eps3 @ sK3)) | (~spl0_72 | ~spl0_73)),
% 30.35/5.56 inference(backward_demodulation,[status(thm)],[f670,f674])).
% 30.35/5.56 thf(f5621,plain,(
% 30.35/5.56 ~spl0_14 | ~spl0_73 | spl0_77),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f5620,f690,f673,f169])).
% 30.35/5.56 thf(f5620,plain,(
% 30.35/5.56 ((eps3 @ sK3) != $false) | (~spl0_73 | spl0_77)),
% 30.35/5.56 inference(backward_demodulation,[status(thm)],[f691,f674])).
% 30.35/5.56 thf(f5611,plain,(
% 30.35/5.56 spl0_131 | ~spl0_17 | ~spl0_21),
% 30.35/5.56 inference(avatar_split_clause,[status(thm)],[f5597,f222,f205,f1735])).
% 30.35/5.56 thf(f5597,plain,(
% 30.35/5.56 ((eps1 @ sK2) = $false) | (~spl0_17 | ~spl0_21)),
% 30.35/5.56 inference(backward_demodulation,[status(thm)],[f224,f206])).
% 30.35/5.56 thf(f5571,plain,(
% 30.35/5.56 ~spl0_2 | ~spl0_180),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f5570])).
% 30.35/5.56 thf(f5570,plain,(
% 30.35/5.56 $false | (~spl0_2 | ~spl0_180)),
% 30.35/5.56 inference(trivial_inequality_removal,[status(thm)],[f5562])).
% 30.35/5.56 thf(f5562,plain,(
% 30.35/5.56 ($true = $false) | (~spl0_2 | ~spl0_180)),
% 30.35/5.56 inference(backward_demodulation,[status(thm)],[f3062,f98])).
% 30.35/5.56 thf(f5569,plain,(
% 30.35/5.56 ~spl0_2 | ~spl0_122),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f5568])).
% 30.35/5.56 thf(f5568,plain,(
% 30.35/5.56 $false | (~spl0_2 | ~spl0_122)),
% 30.35/5.56 inference(trivial_inequality_removal,[status(thm)],[f5563])).
% 30.35/5.56 thf(f5563,plain,(
% 30.35/5.56 ($true = $false) | (~spl0_2 | ~spl0_122)),
% 30.35/5.56 inference(backward_demodulation,[status(thm)],[f1644,f98])).
% 30.35/5.56 thf(f1644,plain,(
% 30.35/5.56 ((sK2 @ sK17) = $true) | ~spl0_122),
% 30.35/5.56 inference(avatar_component_clause,[status(thm)],[f1642])).
% 30.35/5.56 thf(f1642,definition,(
% 30.35/5.56 spl0_122 <=> ((sK2 @ sK17) = $true)),
% 30.35/5.56 introduced(definition,[new_symbols(naming,[spl0_122])],[avatar_definition])).
% 30.35/5.56 thf(f5508,plain,(
% 30.35/5.56 ~spl0_104 | spl0_105 | ~spl0_180),
% 30.35/5.56 inference(avatar_contradiction_clause,[status(thm)],[f5507])).
% 30.35/5.56 thf(f5507,plain,(
% 30.35/5.56 $false | (~spl0_104 | spl0_105 | ~spl0_180)),
% 30.35/5.56 inference(subsumption_resolution,[status(thm)],[f5506,f3062])).
% 30.35/5.57 thf(f5506,plain,(
% 30.35/5.57 ($true != (sK2 @ $true)) | (~spl0_104 | spl0_105)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f1286,f1281])).
% 30.35/5.57 thf(f1281,plain,(
% 30.35/5.57 ($true = sK14) | ~spl0_104),
% 30.35/5.57 inference(avatar_component_clause,[status(thm)],[f1280])).
% 30.35/5.57 thf(f1280,definition,(
% 30.35/5.57 spl0_104 <=> ($true = sK14)),
% 30.35/5.57 introduced(definition,[new_symbols(naming,[spl0_104])],[avatar_definition])).
% 30.35/5.57 thf(f1286,plain,(
% 30.35/5.57 ($true != (sK2 @ sK14)) | spl0_105),
% 30.35/5.57 inference(avatar_component_clause,[status(thm)],[f1284])).
% 30.35/5.57 thf(f1284,definition,(
% 30.35/5.57 spl0_105 <=> ($true = (sK2 @ sK14))),
% 30.35/5.57 introduced(definition,[new_symbols(naming,[spl0_105])],[avatar_definition])).
% 30.35/5.57 thf(f5503,plain,(
% 30.35/5.57 ~spl0_21 | ~spl0_64 | ~spl0_178 | ~spl0_179),
% 30.35/5.57 inference(avatar_contradiction_clause,[status(thm)],[f5502])).
% 30.35/5.57 thf(f5502,plain,(
% 30.35/5.57 $false | (~spl0_21 | ~spl0_64 | ~spl0_178 | ~spl0_179)),
% 30.35/5.57 inference(subsumption_resolution,[status(thm)],[f5501,f5443])).
% 30.35/5.57 thf(f5443,plain,(
% 30.35/5.57 ((eps5 @ sK4) = $false) | (~spl0_64 | ~spl0_178)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f607,f2981])).
% 30.35/5.57 thf(f5501,plain,(
% 30.35/5.57 ((eps5 @ sK4) != $false) | (~spl0_21 | ~spl0_178 | ~spl0_179)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f5431,f224])).
% 30.35/5.57 thf(f5431,plain,(
% 30.35/5.57 ((eps5 @ sK4) != (eps1 @ sK4)) | (~spl0_178 | ~spl0_179)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f86,f5412])).
% 30.35/5.57 thf(f5412,plain,(
% 30.35/5.57 (sK11 = sK4) | (~spl0_178 | ~spl0_179)),
% 30.35/5.57 inference(backward_demodulation,[status(thm)],[f2992,f2981])).
% 30.35/5.57 thf(f2992,plain,(
% 30.35/5.57 (sK11 = sK9) | ~spl0_179),
% 30.35/5.57 inference(avatar_component_clause,[status(thm)],[f2991])).
% 30.35/5.57 thf(f5484,plain,(
% 30.35/5.57 ~spl0_64 | spl0_79 | ~spl0_178 | ~spl0_179),
% 30.35/5.57 inference(avatar_contradiction_clause,[status(thm)],[f5483])).
% 30.35/5.57 thf(f5483,plain,(
% 30.35/5.57 $false | (~spl0_64 | spl0_79 | ~spl0_178 | ~spl0_179)),
% 30.35/5.57 inference(subsumption_resolution,[status(thm)],[f5482,f5443])).
% 30.35/5.57 thf(f5482,plain,(
% 30.35/5.57 ((eps5 @ sK4) != $false) | (spl0_79 | ~spl0_178 | ~spl0_179)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f722,f5412])).
% 30.35/5.57 thf(f5480,plain,(
% 30.35/5.57 ~spl0_20 | ~spl0_64 | ~spl0_178),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f5479,f2980,f605,f218])).
% 30.35/5.57 thf(f5479,plain,(
% 30.35/5.57 ((eps2 @ sK4) != $false) | (~spl0_64 | ~spl0_178)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f5478,f5443])).
% 30.35/5.57 thf(f5478,plain,(
% 30.35/5.57 ((eps5 @ sK4) != (eps2 @ sK4)) | ~spl0_178),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f84,f2981])).
% 30.35/5.57 thf(f5454,plain,(
% 30.35/5.57 ~spl0_65 | ~spl0_79 | ~spl0_178 | ~spl0_179),
% 30.35/5.57 inference(avatar_contradiction_clause,[status(thm)],[f5453])).
% 30.35/5.57 thf(f5453,plain,(
% 30.35/5.57 $false | (~spl0_65 | ~spl0_79 | ~spl0_178 | ~spl0_179)),
% 30.35/5.57 inference(subsumption_resolution,[status(thm)],[f5452,f5430])).
% 30.35/5.57 thf(f5430,plain,(
% 30.35/5.57 ((eps5 @ sK4) != $false) | (~spl0_65 | ~spl0_178)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f5134,f2981])).
% 30.35/5.57 thf(f5134,plain,(
% 30.35/5.57 ((eps5 @ sK9) != $false) | ~spl0_65),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f84,f612])).
% 30.35/5.57 thf(f5452,plain,(
% 30.35/5.57 ((eps5 @ sK4) = $false) | (~spl0_79 | ~spl0_178 | ~spl0_179)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f723,f5412])).
% 30.35/5.57 thf(f5440,plain,(
% 30.35/5.57 spl0_20 | ~spl0_65 | ~spl0_178),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f5410,f2980,f610,f218])).
% 30.35/5.57 thf(f5410,plain,(
% 30.35/5.57 ((eps2 @ sK4) = $false) | (~spl0_65 | ~spl0_178)),
% 30.35/5.57 inference(backward_demodulation,[status(thm)],[f612,f2981])).
% 30.35/5.57 thf(f5438,plain,(
% 30.35/5.57 ~spl0_21 | spl0_84 | ~spl0_178 | ~spl0_179),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f5437,f2991,f2980,f743,f222])).
% 30.35/5.57 thf(f5437,plain,(
% 30.35/5.57 ((eps1 @ sK4) != $false) | (spl0_84 | ~spl0_178 | ~spl0_179)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f744,f5412])).
% 30.35/5.57 thf(f744,plain,(
% 30.35/5.57 ((eps1 @ sK11) != $false) | spl0_84),
% 30.35/5.57 inference(avatar_component_clause,[status(thm)],[f743])).
% 30.35/5.57 thf(f5359,plain,(
% 30.35/5.57 spl0_91 | ~spl0_138 | ~spl0_140),
% 30.35/5.57 inference(avatar_contradiction_clause,[status(thm)],[f5358])).
% 30.35/5.57 thf(f5358,plain,(
% 30.35/5.57 $false | (spl0_91 | ~spl0_138 | ~spl0_140)),
% 30.35/5.57 inference(subsumption_resolution,[status(thm)],[f5328,f994])).
% 30.35/5.57 thf(f994,plain,(
% 30.35/5.57 ($true != (sK9 @ $false)) | spl0_91),
% 30.35/5.57 inference(avatar_component_clause,[status(thm)],[f993])).
% 30.35/5.57 thf(f5328,plain,(
% 30.35/5.57 ($true = (sK9 @ $false)) | (~spl0_138 | ~spl0_140)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f1851,f1840])).
% 30.35/5.57 thf(f1840,plain,(
% 30.35/5.57 (sK18 = $false) | ~spl0_138),
% 30.35/5.57 inference(avatar_component_clause,[status(thm)],[f1839])).
% 30.35/5.57 thf(f1839,definition,(
% 30.35/5.57 spl0_138 <=> (sK18 = $false)),
% 30.35/5.57 introduced(definition,[new_symbols(naming,[spl0_138])],[avatar_definition])).
% 30.35/5.57 thf(f5345,plain,(
% 30.35/5.57 spl0_64 | ~spl0_79 | ~spl0_179),
% 30.35/5.57 inference(avatar_contradiction_clause,[status(thm)],[f5344])).
% 30.35/5.57 thf(f5344,plain,(
% 30.35/5.57 $false | (spl0_64 | ~spl0_79 | ~spl0_179)),
% 30.35/5.57 inference(subsumption_resolution,[status(thm)],[f5342,f606])).
% 30.35/5.57 thf(f5342,plain,(
% 30.35/5.57 ((eps5 @ sK9) = $false) | (~spl0_79 | ~spl0_179)),
% 30.35/5.57 inference(backward_demodulation,[status(thm)],[f723,f2992])).
% 30.35/5.57 thf(f5206,plain,(
% 30.35/5.57 ~spl0_18 | ~spl0_68 | spl0_178),
% 30.35/5.57 inference(avatar_contradiction_clause,[status(thm)],[f5205])).
% 30.35/5.57 thf(f5205,plain,(
% 30.35/5.57 $false | (~spl0_18 | ~spl0_68 | spl0_178)),
% 30.35/5.57 inference(subsumption_resolution,[status(thm)],[f5204,f626])).
% 30.35/5.57 thf(f5204,plain,(
% 30.35/5.57 ((sK9 @ sK85) != $false) | (~spl0_18 | spl0_178)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f5201,f211])).
% 30.35/5.57 thf(f5201,plain,(
% 30.35/5.57 ((sK9 @ sK85) != (sK4 @ sK85)) | spl0_178),
% 30.35/5.57 inference(negative_extensionality,[status(thm)],[f2982])).
% 30.35/5.57 thf(f5179,plain,(
% 30.35/5.57 ~spl0_68 | ~spl0_91),
% 30.35/5.57 inference(avatar_contradiction_clause,[status(thm)],[f5178])).
% 30.35/5.57 thf(f5178,plain,(
% 30.35/5.57 $false | (~spl0_68 | ~spl0_91)),
% 30.35/5.57 inference(trivial_inequality_removal,[status(thm)],[f5177])).
% 30.35/5.57 thf(f5177,plain,(
% 30.35/5.57 ($true = $false) | (~spl0_68 | ~spl0_91)),
% 30.35/5.57 inference(backward_demodulation,[status(thm)],[f995,f626])).
% 30.35/5.57 thf(f5141,plain,(
% 30.35/5.57 ~spl0_148 | ~spl0_152 | ~spl0_208),
% 30.35/5.57 inference(avatar_contradiction_clause,[status(thm)],[f5140])).
% 30.35/5.57 thf(f5140,plain,(
% 30.35/5.57 $false | (~spl0_148 | ~spl0_152 | ~spl0_208)),
% 30.35/5.57 inference(trivial_inequality_removal,[status(thm)],[f5139])).
% 30.35/5.57 thf(f5139,plain,(
% 30.35/5.57 ($true = $false) | (~spl0_148 | ~spl0_152 | ~spl0_208)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f5077,f5121])).
% 30.35/5.57 thf(f5121,plain,(
% 30.35/5.57 ((sK10 @ $false) = $false) | (~spl0_148 | ~spl0_152)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f2068,f2172])).
% 30.35/5.57 thf(f5119,plain,(
% 30.35/5.57 spl0_208 | ~spl0_76 | ~spl0_78),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f5118,f696,f686,f5075])).
% 30.35/5.57 thf(f5118,plain,(
% 30.35/5.57 ((sK10 @ $false) = $true) | (~spl0_76 | ~spl0_78)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f698,f688])).
% 30.35/5.57 thf(f5044,plain,(
% 30.35/5.57 ~spl0_16 | ~spl0_18 | ~spl0_83 | ~spl0_84),
% 30.35/5.57 inference(avatar_contradiction_clause,[status(thm)],[f5043])).
% 30.35/5.57 thf(f5043,plain,(
% 30.35/5.57 $false | (~spl0_16 | ~spl0_18 | ~spl0_83 | ~spl0_84)),
% 30.35/5.57 inference(subsumption_resolution,[status(thm)],[f5042,f211])).
% 30.35/5.57 thf(f5042,plain,(
% 30.35/5.57 ((sK4 @ sK83) != $false) | (~spl0_16 | ~spl0_83 | ~spl0_84)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f5038,f740])).
% 30.35/5.57 thf(f5038,plain,(
% 30.35/5.57 ((sK4 @ sK83) != (sK11 @ sK83)) | (~spl0_16 | ~spl0_84)),
% 30.35/5.57 inference(negative_extensionality,[status(thm)],[f5037])).
% 30.35/5.57 thf(f5037,plain,(
% 30.35/5.57 (sK11 != sK4) | (~spl0_16 | ~spl0_84)),
% 30.35/5.57 inference(trivial_inequality_removal,[status(thm)],[f5035])).
% 30.35/5.57 thf(f5035,plain,(
% 30.35/5.57 (sK11 != sK4) | ($true = $false) | (~spl0_16 | ~spl0_84)),
% 30.35/5.57 inference(constrained_superposition,[status(thm)],[f745,f202])).
% 30.35/5.57 thf(f4928,plain,(
% 30.35/5.57 ~spl0_50 | ~spl0_53),
% 30.35/5.57 inference(avatar_contradiction_clause,[status(thm)],[f4927])).
% 30.35/5.57 thf(f4927,plain,(
% 30.35/5.57 $false | (~spl0_50 | ~spl0_53)),
% 30.35/5.57 inference(trivial_inequality_removal,[status(thm)],[f4926])).
% 30.35/5.57 thf(f4926,plain,(
% 30.35/5.57 ($true = $false) | (~spl0_50 | ~spl0_53)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f496,f509])).
% 30.35/5.57 thf(f4905,plain,(
% 30.35/5.57 ~spl0_5 | ~spl0_31 | ~spl0_128),
% 30.35/5.57 inference(avatar_contradiction_clause,[status(thm)],[f4904])).
% 30.35/5.57 thf(f4904,plain,(
% 30.35/5.57 $false | (~spl0_5 | ~spl0_31 | ~spl0_128)),
% 30.35/5.57 inference(subsumption_resolution,[status(thm)],[f4817,f1722])).
% 30.35/5.57 thf(f4817,plain,(
% 30.35/5.57 (sK2 != sK5) | (~spl0_5 | ~spl0_31)),
% 30.35/5.57 inference(trivial_inequality_removal,[status(thm)],[f4814])).
% 30.35/5.57 thf(f4814,plain,(
% 30.35/5.57 ($true = $false) | (sK2 != sK5) | (~spl0_5 | ~spl0_31)),
% 30.35/5.57 inference(constrained_superposition,[status(thm)],[f333,f112])).
% 30.35/5.57 thf(f4890,plain,(
% 30.35/5.57 ~spl0_5 | spl0_29 | ~spl0_128),
% 30.35/5.57 inference(avatar_contradiction_clause,[status(thm)],[f4889])).
% 30.35/5.57 thf(f4889,plain,(
% 30.35/5.57 $false | (~spl0_5 | spl0_29 | ~spl0_128)),
% 30.35/5.57 inference(subsumption_resolution,[status(thm)],[f4887,f112])).
% 30.35/5.57 thf(f4887,plain,(
% 30.35/5.57 ((eps4 @ sK2) != $false) | (spl0_29 | ~spl0_128)),
% 30.35/5.57 inference(backward_demodulation,[status(thm)],[f324,f1722])).
% 30.35/5.57 thf(f4881,plain,(
% 30.35/5.57 spl0_34 | ~spl0_31 | ~spl0_103),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f4880,f1249,f331,f344])).
% 30.35/5.57 thf(f4880,plain,(
% 30.35/5.57 ( ! [X1 : $o] : (($false = (sK5 @ X1))) ) | (~spl0_31 | ~spl0_103)),
% 30.35/5.57 inference(trivial_inequality_removal,[status(thm)],[f4879])).
% 30.35/5.57 thf(f4879,plain,(
% 30.35/5.57 ( ! [X1 : $o] : (($false = (sK5 @ X1)) | ($true = $false)) ) | (~spl0_31 | ~spl0_103)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f4878,f1250])).
% 30.35/5.57 thf(f4878,plain,(
% 30.35/5.57 ( ! [X1 : $o] : (($true = (sK5 @ $true)) | ($false = (sK5 @ X1))) ) | ~spl0_31),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f4810,f333])).
% 30.35/5.57 thf(f4810,plain,(
% 30.35/5.57 ( ! [X1 : $o] : (($true = (sK5 @ (eps4 @ sK5))) | ($false = (sK5 @ X1))) )),
% 30.35/5.57 introduced(definition,[],[choice_axiom])).
% 30.35/5.57 thf(f4855,plain,(
% 30.35/5.57 ~spl0_103 | ~spl0_121),
% 30.35/5.57 inference(avatar_contradiction_clause,[status(thm)],[f4854])).
% 30.35/5.57 thf(f4854,plain,(
% 30.35/5.57 $false | (~spl0_103 | ~spl0_121)),
% 30.35/5.57 inference(trivial_inequality_removal,[status(thm)],[f4853])).
% 30.35/5.57 thf(f4853,plain,(
% 30.35/5.57 ($true = $false) | (~spl0_103 | ~spl0_121)),
% 30.35/5.57 inference(backward_demodulation,[status(thm)],[f1533,f1250])).
% 30.35/5.57 thf(f4846,plain,(
% 30.35/5.57 spl0_101 | ~spl0_35 | ~spl0_36),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f4845,f354,f348,f1229])).
% 30.35/5.57 thf(f4845,plain,(
% 30.35/5.57 ($true = (sK5 @ $false)) | (~spl0_35 | ~spl0_36)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f356,f350])).
% 30.35/5.57 thf(f356,plain,(
% 30.35/5.57 ((sK5 @ (eps5 @ sK5)) = $true) | ~spl0_36),
% 30.35/5.57 inference(avatar_component_clause,[status(thm)],[f354])).
% 30.35/5.57 thf(f4844,plain,(
% 30.35/5.57 ~spl0_34 | ~spl0_35 | ~spl0_81 | ~spl0_83),
% 30.35/5.57 inference(avatar_contradiction_clause,[status(thm)],[f4843])).
% 30.35/5.57 thf(f4843,plain,(
% 30.35/5.57 $false | (~spl0_34 | ~spl0_35 | ~spl0_81 | ~spl0_83)),
% 30.35/5.57 inference(subsumption_resolution,[status(thm)],[f4842,f740])).
% 30.35/5.57 thf(f4842,plain,(
% 30.35/5.57 ((sK11 @ sK79) != $false) | (~spl0_34 | ~spl0_35 | ~spl0_81)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f4838,f345])).
% 30.35/5.57 thf(f4838,plain,(
% 30.35/5.57 ((sK11 @ sK79) != (sK5 @ sK79)) | (~spl0_35 | ~spl0_81)),
% 30.35/5.57 inference(negative_extensionality,[status(thm)],[f4837])).
% 30.35/5.57 thf(f4837,plain,(
% 30.35/5.57 (sK11 != sK5) | (~spl0_35 | ~spl0_81)),
% 30.35/5.57 inference(trivial_inequality_removal,[status(thm)],[f4831])).
% 30.35/5.57 thf(f4831,plain,(
% 30.35/5.57 ($true = $false) | (sK11 != sK5) | (~spl0_35 | ~spl0_81)),
% 30.35/5.57 inference(constrained_superposition,[status(thm)],[f350,f732])).
% 30.35/5.57 thf(f4806,plain,(
% 30.35/5.57 ~spl0_29 | ~spl0_34 | ~spl0_48 | spl0_51),
% 30.35/5.57 inference(avatar_contradiction_clause,[status(thm)],[f4805])).
% 30.35/5.57 thf(f4805,plain,(
% 30.35/5.57 $false | (~spl0_29 | ~spl0_34 | ~spl0_48 | spl0_51)),
% 30.35/5.57 inference(subsumption_resolution,[status(thm)],[f4804,f345])).
% 30.35/5.57 thf(f4804,plain,(
% 30.35/5.57 ((sK5 @ sK78) != $false) | (~spl0_29 | ~spl0_48 | spl0_51)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f4800,f487])).
% 30.35/5.57 thf(f4800,plain,(
% 30.35/5.57 ((sK5 @ sK78) != (sK7 @ sK78)) | (~spl0_29 | spl0_51)),
% 30.35/5.57 inference(negative_extensionality,[status(thm)],[f4799])).
% 30.35/5.57 thf(f4799,plain,(
% 30.35/5.57 (sK5 != sK7) | (~spl0_29 | spl0_51)),
% 30.35/5.57 inference(trivial_inequality_removal,[status(thm)],[f4795])).
% 30.35/5.57 thf(f4795,plain,(
% 30.35/5.57 (sK5 != sK7) | ($false != $false) | (~spl0_29 | spl0_51)),
% 30.35/5.57 inference(constrained_superposition,[status(thm)],[f500,f323])).
% 30.35/5.57 thf(f4588,plain,(
% 30.35/5.57 ~spl0_18 | ~spl0_20 | ~spl0_71 | ~spl0_75),
% 30.35/5.57 inference(avatar_contradiction_clause,[status(thm)],[f4587])).
% 30.35/5.57 thf(f4587,plain,(
% 30.35/5.57 $false | (~spl0_18 | ~spl0_20 | ~spl0_71 | ~spl0_75)),
% 30.35/5.57 inference(subsumption_resolution,[status(thm)],[f4586,f211])).
% 30.35/5.57 thf(f4586,plain,(
% 30.35/5.57 ((sK4 @ sK76) != $false) | (~spl0_20 | ~spl0_71 | ~spl0_75)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f4582,f683])).
% 30.35/5.57 thf(f4582,plain,(
% 30.35/5.57 ((sK4 @ sK76) != (sK10 @ sK76)) | (~spl0_20 | ~spl0_71)),
% 30.35/5.57 inference(negative_extensionality,[status(thm)],[f4573])).
% 30.35/5.57 thf(f4573,plain,(
% 30.35/5.57 (sK4 != sK10) | (~spl0_20 | ~spl0_71)),
% 30.35/5.57 inference(trivial_inequality_removal,[status(thm)],[f4567])).
% 30.35/5.57 thf(f4567,plain,(
% 30.35/5.57 (sK4 != sK10) | ($true = $false) | (~spl0_20 | ~spl0_71)),
% 30.35/5.57 inference(constrained_superposition,[status(thm)],[f666,f220])).
% 30.35/5.57 thf(f4510,plain,(
% 30.35/5.57 ~spl0_93 | spl0_156 | spl0_204),
% 30.35/5.57 inference(avatar_contradiction_clause,[status(thm)],[f4509])).
% 30.35/5.57 thf(f4509,plain,(
% 30.35/5.57 $false | (~spl0_93 | spl0_156 | spl0_204)),
% 30.35/5.57 inference(subsumption_resolution,[status(thm)],[f4508,f4054])).
% 30.35/5.57 thf(f4054,plain,(
% 30.35/5.57 (sK25 != $false) | spl0_204),
% 30.35/5.57 inference(avatar_component_clause,[status(thm)],[f4053])).
% 30.35/5.57 thf(f4508,plain,(
% 30.35/5.57 (sK25 = $false) | (~spl0_93 | spl0_156)),
% 30.35/5.57 inference(subsumption_resolution,[status(thm)],[f4500,f1019])).
% 30.35/5.57 thf(f4500,plain,(
% 30.35/5.57 ($true != (sK6 @ $true)) | (sK25 = $false) | spl0_156),
% 30.35/5.57 inference(fool_paramodulation,[status(thm)],[f2336])).
% 30.35/5.57 thf(f2336,plain,(
% 30.35/5.57 ($true != (sK6 @ sK25)) | spl0_156),
% 30.35/5.57 inference(avatar_component_clause,[status(thm)],[f2335])).
% 30.35/5.57 thf(f4507,plain,(
% 30.35/5.57 spl0_155 | spl0_156),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f4505,f2335,f2330])).
% 30.35/5.57 thf(f4505,plain,(
% 30.35/5.57 ((sK6 @ sK25) = $false) | spl0_156),
% 30.35/5.57 inference(trivial_inequality_removal,[status(thm)],[f4501])).
% 30.35/5.57 thf(f4501,plain,(
% 30.35/5.57 ((sK6 @ sK25) = $false) | ($true != $true) | spl0_156),
% 30.35/5.57 inference(fool_paramodulation,[status(thm)],[f2336])).
% 30.35/5.57 thf(f4298,plain,(
% 30.35/5.57 spl0_28 | spl0_104),
% 30.35/5.57 inference(avatar_contradiction_clause,[status(thm)],[f4297])).
% 30.35/5.57 thf(f4297,plain,(
% 30.35/5.57 $false | (spl0_28 | spl0_104)),
% 30.35/5.57 inference(subsumption_resolution,[status(thm)],[f4296,f308])).
% 30.35/5.57 thf(f308,plain,(
% 30.35/5.57 (sK14 != $false) | spl0_28),
% 30.35/5.57 inference(avatar_component_clause,[status(thm)],[f307])).
% 30.35/5.57 thf(f4296,plain,(
% 30.35/5.57 (sK14 = $false) | spl0_104),
% 30.35/5.57 inference(trivial_inequality_removal,[status(thm)],[f4295])).
% 30.35/5.57 thf(f4295,plain,(
% 30.35/5.57 (sK14 = $false) | ($true != $true) | spl0_104),
% 30.35/5.57 inference(fool_paramodulation,[status(thm)],[f1282])).
% 30.35/5.57 thf(f1282,plain,(
% 30.35/5.57 ($true != sK14) | spl0_104),
% 30.35/5.57 inference(avatar_component_clause,[status(thm)],[f1280])).
% 30.35/5.57 thf(f4294,plain,(
% 30.35/5.57 ~spl0_48 | spl0_181),
% 30.35/5.57 inference(avatar_contradiction_clause,[status(thm)],[f4293])).
% 30.35/5.57 thf(f4293,plain,(
% 30.35/5.57 $false | (~spl0_48 | spl0_181)),
% 30.35/5.57 inference(trivial_inequality_removal,[status(thm)],[f4288])).
% 30.35/5.57 thf(f4288,plain,(
% 30.35/5.57 ($false != $false) | (~spl0_48 | spl0_181)),
% 30.35/5.57 inference(superposition,[status(thm)],[f3415,f487])).
% 30.35/5.57 thf(f4274,plain,(
% 30.35/5.57 ~spl0_48 | ~spl0_192),
% 30.35/5.57 inference(avatar_contradiction_clause,[status(thm)],[f4273])).
% 30.35/5.57 thf(f4273,plain,(
% 30.35/5.57 $false | (~spl0_48 | ~spl0_192)),
% 30.35/5.57 inference(trivial_inequality_removal,[status(thm)],[f4270])).
% 30.35/5.57 thf(f4270,plain,(
% 30.35/5.57 ($true = $false) | (~spl0_48 | ~spl0_192)),
% 30.35/5.57 inference(backward_demodulation,[status(thm)],[f3887,f487])).
% 30.35/5.57 thf(f3887,plain,(
% 30.35/5.57 ($true = (sK7 @ sK69)) | ~spl0_192),
% 30.35/5.57 inference(avatar_component_clause,[status(thm)],[f3885])).
% 30.35/5.57 thf(f3885,definition,(
% 30.35/5.57 spl0_192 <=> ($true = (sK7 @ sK69))),
% 30.35/5.57 introduced(definition,[new_symbols(naming,[spl0_192])],[avatar_definition])).
% 30.35/5.57 thf(f4254,plain,(
% 30.35/5.57 spl0_109 | ~spl0_3 | ~spl0_5),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f4217,f110,f101,f1323])).
% 30.35/5.57 thf(f4217,plain,(
% 30.35/5.57 ($true = (sK2 @ $false)) | (~spl0_3 | ~spl0_5)),
% 30.35/5.57 inference(backward_demodulation,[status(thm)],[f103,f112])).
% 30.35/5.57 thf(f103,plain,(
% 30.35/5.57 ($true = (sK2 @ (eps4 @ sK2))) | ~spl0_3),
% 30.35/5.57 inference(avatar_component_clause,[status(thm)],[f101])).
% 30.35/5.57 thf(f4247,plain,(
% 30.35/5.57 ~spl0_131 | ~spl0_5 | ~spl0_61),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f4246,f570,f110,f1735])).
% 30.35/5.57 thf(f4246,plain,(
% 30.35/5.57 ((eps1 @ sK2) != $false) | (~spl0_5 | ~spl0_61)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f4245,f112])).
% 30.35/5.57 thf(f4245,plain,(
% 30.35/5.57 ((eps1 @ sK2) != (eps4 @ sK2)) | ~spl0_61),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f83,f571])).
% 30.35/5.57 thf(f4208,plain,(
% 30.35/5.57 ~spl0_109 | ~spl0_125 | ~spl0_127),
% 30.35/5.57 inference(avatar_contradiction_clause,[status(thm)],[f4207])).
% 30.35/5.57 thf(f4207,plain,(
% 30.35/5.57 $false | (~spl0_109 | ~spl0_125 | ~spl0_127)),
% 30.35/5.57 inference(trivial_inequality_removal,[status(thm)],[f4206])).
% 30.35/5.57 thf(f4206,plain,(
% 30.35/5.57 ($true = $false) | (~spl0_109 | ~spl0_125 | ~spl0_127)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f1325,f4189])).
% 30.35/5.57 thf(f4189,plain,(
% 30.35/5.57 ((sK2 @ $false) = $false) | (~spl0_125 | ~spl0_127)),
% 30.35/5.57 inference(backward_demodulation,[status(thm)],[f1671,f1657])).
% 30.35/5.57 thf(f1671,plain,(
% 30.35/5.57 ((sK2 @ sK17) = $false) | ~spl0_127),
% 30.35/5.57 inference(avatar_component_clause,[status(thm)],[f1669])).
% 30.35/5.57 thf(f1669,definition,(
% 30.35/5.57 spl0_127 <=> ((sK2 @ sK17) = $false)),
% 30.35/5.57 introduced(definition,[new_symbols(naming,[spl0_127])],[avatar_definition])).
% 30.35/5.57 thf(f4179,plain,(
% 30.35/5.57 spl0_25 | ~spl0_13 | ~spl0_23),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f4165,f257,f164,f267])).
% 30.35/5.57 thf(f4165,plain,(
% 30.35/5.57 ((eps5 @ sK2) = $false) | (~spl0_13 | ~spl0_23)),
% 30.35/5.57 inference(backward_demodulation,[status(thm)],[f166,f258])).
% 30.35/5.57 thf(f4175,plain,(
% 30.35/5.57 ~spl0_4 | ~spl0_23 | spl0_65 | ~spl0_66),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f4170,f615,f610,f257,f106])).
% 30.35/5.57 thf(f4170,plain,(
% 30.35/5.57 ((eps2 @ sK2) != $false) | (~spl0_23 | spl0_65 | ~spl0_66)),
% 30.35/5.57 inference(backward_demodulation,[status(thm)],[f1884,f258])).
% 30.35/5.57 thf(f1884,plain,(
% 30.35/5.57 ($false != (eps2 @ sK3)) | (spl0_65 | ~spl0_66)),
% 30.35/5.57 inference(backward_demodulation,[status(thm)],[f611,f616])).
% 30.35/5.57 thf(f4154,plain,(
% 30.35/5.57 spl0_120 | ~spl0_47 | ~spl0_54),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f3765,f513,f482,f1517])).
% 30.35/5.57 thf(f3765,plain,(
% 30.35/5.57 ($true = (sK7 @ $true)) | (~spl0_47 | ~spl0_54)),
% 30.35/5.57 inference(backward_demodulation,[status(thm)],[f484,f515])).
% 30.35/5.57 thf(f4124,plain,(
% 30.35/5.57 spl0_27 | spl0_125 | ~spl0_127),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f3446,f1669,f1656,f303])).
% 30.35/5.57 thf(f3446,plain,(
% 30.35/5.57 ((sK2 @ $true) = $false) | (sK17 = $false) | ~spl0_127),
% 30.35/5.57 inference(fool_paramodulation,[status(thm)],[f1671])).
% 30.35/5.57 thf(f4114,plain,(
% 30.35/5.57 spl0_2 | ~spl0_83 | ~spl0_132),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f3360,f1742,f739,f97])).
% 30.35/5.57 thf(f3360,plain,(
% 30.35/5.57 ( ! [X1 : $o] : (((sK2 @ X1) = $false)) ) | (~spl0_83 | ~spl0_132)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f3337,f740])).
% 30.35/5.57 thf(f3337,plain,(
% 30.35/5.57 ( ! [X1 : $o] : (((sK2 @ X1) = (sK11 @ X1))) ) | ~spl0_132),
% 30.35/5.57 inference(argument_congruence,[status(thm)],[f1743])).
% 30.35/5.57 thf(f4076,plain,(
% 30.35/5.57 ~spl0_93 | spl0_39 | ~spl0_56 | ~spl0_158 | spl0_201),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f4075,f4020,f2363,f547,f423,f1017])).
% 30.35/5.57 thf(f4020,definition,(
% 30.35/5.57 spl0_201 <=> (sK70 = $false)),
% 30.35/5.57 introduced(definition,[new_symbols(naming,[spl0_201])],[avatar_definition])).
% 30.35/5.57 thf(f4075,plain,(
% 30.35/5.57 ($true != (sK6 @ $true)) | (spl0_39 | ~spl0_56 | ~spl0_158 | spl0_201)),
% 30.35/5.57 inference(backward_demodulation,[status(thm)],[f4073,f2365])).
% 30.35/5.57 thf(f4073,plain,(
% 30.35/5.57 ((sK6 @ $true) != (sK8 @ $true)) | (spl0_39 | ~spl0_56 | spl0_201)),
% 30.35/5.57 inference(subsumption_resolution,[status(thm)],[f3995,f4022])).
% 30.35/5.57 thf(f4022,plain,(
% 30.35/5.57 (sK70 != $false) | spl0_201),
% 30.35/5.57 inference(avatar_component_clause,[status(thm)],[f4020])).
% 30.35/5.57 thf(f3995,plain,(
% 30.35/5.57 (sK70 = $false) | ((sK6 @ $true) != (sK8 @ $true)) | (spl0_39 | ~spl0_56)),
% 30.35/5.57 inference(fool_paramodulation,[status(thm)],[f3969])).
% 30.35/5.57 thf(f3969,plain,(
% 30.35/5.57 ((sK6 @ sK70) != (sK8 @ sK70)) | (spl0_39 | ~spl0_56)),
% 30.35/5.57 inference(negative_extensionality,[status(thm)],[f3966])).
% 30.35/5.57 thf(f3966,plain,(
% 30.35/5.57 (sK8 != sK6) | (spl0_39 | ~spl0_56)),
% 30.35/5.57 inference(trivial_inequality_removal,[status(thm)],[f3961])).
% 30.35/5.57 thf(f3961,plain,(
% 30.35/5.57 ($false != $false) | (sK8 != sK6) | (spl0_39 | ~spl0_56)),
% 30.35/5.57 inference(constrained_superposition,[status(thm)],[f424,f549])).
% 30.35/5.57 thf(f4045,plain,(
% 30.35/5.57 ~spl0_92 | spl0_197 | ~spl0_201),
% 30.35/5.57 inference(avatar_contradiction_clause,[status(thm)],[f4044])).
% 30.35/5.57 thf(f4044,plain,(
% 30.35/5.57 $false | (~spl0_92 | spl0_197 | ~spl0_201)),
% 30.35/5.57 inference(subsumption_resolution,[status(thm)],[f4043,f1011])).
% 30.35/5.57 thf(f4043,plain,(
% 30.35/5.57 ((sK6 @ $false) != $true) | (spl0_197 | ~spl0_201)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f4003,f4021])).
% 30.35/5.57 thf(f4021,plain,(
% 30.35/5.57 (sK70 = $false) | ~spl0_201),
% 30.35/5.57 inference(avatar_component_clause,[status(thm)],[f4020])).
% 30.35/5.57 thf(f4003,plain,(
% 30.35/5.57 ($true != (sK6 @ sK70)) | spl0_197),
% 30.35/5.57 inference(avatar_component_clause,[status(thm)],[f4001])).
% 30.35/5.57 thf(f4023,plain,(
% 30.35/5.57 ~spl0_197 | ~spl0_201 | spl0_39 | ~spl0_56 | ~spl0_87),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f3997,f853,f547,f423,f4020,f4001])).
% 30.35/5.57 thf(f3997,plain,(
% 30.35/5.57 (sK70 != $false) | ($true != (sK6 @ sK70)) | (spl0_39 | ~spl0_56 | ~spl0_87)),
% 30.35/5.57 inference(constrained_superposition,[status(thm)],[f3969,f855])).
% 30.35/5.57 thf(f4013,plain,(
% 30.35/5.57 spl0_199 | spl0_197 | spl0_39 | ~spl0_56),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f3993,f547,f423,f4001,f4010])).
% 30.35/5.57 thf(f3993,plain,(
% 30.35/5.57 ($true = (sK6 @ sK70)) | ($true = (sK8 @ sK70)) | (spl0_39 | ~spl0_56)),
% 30.35/5.57 inference(binary_proxy_clausification,[status(thm)],[f3969])).
% 30.35/5.57 thf(f3923,plain,(
% 30.35/5.57 ~spl0_49 | spl0_51 | ~spl0_53 | ~spl0_55 | ~spl0_87 | ~spl0_120 | ~spl0_158),
% 30.35/5.57 inference(avatar_contradiction_clause,[status(thm)],[f3922])).
% 30.35/5.57 thf(f3922,plain,(
% 30.35/5.57 $false | (~spl0_49 | spl0_51 | ~spl0_53 | ~spl0_55 | ~spl0_87 | ~spl0_120 | ~spl0_158)),
% 30.35/5.57 inference(subsumption_resolution,[status(thm)],[f3921,f3794])).
% 30.35/5.57 thf(f3794,plain,(
% 30.35/5.57 ($true = (sK7 @ $false)) | (~spl0_49 | ~spl0_53)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f492,f509])).
% 30.35/5.57 thf(f3921,plain,(
% 30.35/5.57 ($true != (sK7 @ $false)) | (spl0_51 | ~spl0_55 | ~spl0_87 | ~spl0_120 | ~spl0_158)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f3920,f3909])).
% 30.35/5.57 thf(f3909,plain,(
% 30.35/5.57 (sK69 = $false) | (spl0_51 | ~spl0_55 | ~spl0_120 | ~spl0_158)),
% 30.35/5.57 inference(subsumption_resolution,[status(thm)],[f3908,f1519])).
% 30.35/5.57 thf(f3908,plain,(
% 30.35/5.57 ($true != (sK7 @ $true)) | (sK69 = $false) | (spl0_51 | ~spl0_55 | ~spl0_158)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f3879,f2365])).
% 30.35/5.57 thf(f3879,plain,(
% 30.35/5.57 (sK69 = $false) | ((sK7 @ $true) != (sK8 @ $true)) | (spl0_51 | ~spl0_55)),
% 30.35/5.57 inference(fool_paramodulation,[status(thm)],[f3834])).
% 30.35/5.57 thf(f3834,plain,(
% 30.35/5.57 ((sK7 @ sK69) != (sK8 @ sK69)) | (spl0_51 | ~spl0_55)),
% 30.35/5.57 inference(negative_extensionality,[status(thm)],[f3824])).
% 30.35/5.57 thf(f3824,plain,(
% 30.35/5.57 (sK8 != sK7) | (spl0_51 | ~spl0_55)),
% 30.35/5.57 inference(trivial_inequality_removal,[status(thm)],[f3822])).
% 30.35/5.57 thf(f3822,plain,(
% 30.35/5.57 (sK8 != sK7) | ($false != $false) | (spl0_51 | ~spl0_55)),
% 30.35/5.57 inference(constrained_superposition,[status(thm)],[f500,f545])).
% 30.35/5.57 thf(f3920,plain,(
% 30.35/5.57 ($true != (sK7 @ sK69)) | (spl0_51 | ~spl0_55 | ~spl0_87 | ~spl0_120 | ~spl0_158)),
% 30.35/5.57 inference(subsumption_resolution,[status(thm)],[f3881,f3909])).
% 30.35/5.57 thf(f3881,plain,(
% 30.35/5.57 (sK69 != $false) | ($true != (sK7 @ sK69)) | (spl0_51 | ~spl0_55 | ~spl0_87)),
% 30.35/5.57 inference(constrained_superposition,[status(thm)],[f3834,f855])).
% 30.35/5.57 thf(f3892,plain,(
% 30.35/5.57 spl0_192 | spl0_193 | spl0_51 | ~spl0_55),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f3877,f543,f499,f3889,f3885])).
% 30.35/5.57 thf(f3877,plain,(
% 30.35/5.57 ($true = (sK8 @ sK69)) | ($true = (sK7 @ sK69)) | (spl0_51 | ~spl0_55)),
% 30.35/5.57 inference(binary_proxy_clausification,[status(thm)],[f3834])).
% 30.35/5.57 thf(f3796,plain,(
% 30.35/5.57 ~spl0_49 | ~spl0_53 | spl0_186 | ~spl0_189),
% 30.35/5.57 inference(avatar_contradiction_clause,[status(thm)],[f3795])).
% 30.35/5.57 thf(f3795,plain,(
% 30.35/5.57 $false | (~spl0_49 | ~spl0_53 | spl0_186 | ~spl0_189)),
% 30.35/5.57 inference(subsumption_resolution,[status(thm)],[f3794,f3774])).
% 30.35/5.57 thf(f3774,plain,(
% 30.35/5.57 ($true != (sK7 @ $false)) | (spl0_186 | ~spl0_189)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f3718,f3732])).
% 30.35/5.57 thf(f3732,plain,(
% 30.35/5.57 ($false = sK66) | ~spl0_189),
% 30.35/5.57 inference(avatar_component_clause,[status(thm)],[f3731])).
% 30.35/5.57 thf(f3793,plain,(
% 30.35/5.57 spl0_48 | ~spl0_53 | spl0_186 | ~spl0_189),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f3792,f3731,f3717,f508,f486])).
% 30.35/5.57 thf(f3792,plain,(
% 30.35/5.57 ( ! [X1 : $o] : (((sK7 @ X1) = $false)) ) | (~spl0_53 | spl0_186 | ~spl0_189)),
% 30.35/5.57 inference(subsumption_resolution,[status(thm)],[f3791,f3774])).
% 30.35/5.57 thf(f3791,plain,(
% 30.35/5.57 ( ! [X1 : $o] : (((sK7 @ X1) = $false) | ($true = (sK7 @ $false))) ) | ~spl0_53),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f1268,f509])).
% 30.35/5.57 thf(f1268,plain,(
% 30.35/5.57 ( ! [X1 : $o] : (((sK7 @ (eps3 @ sK7)) = $true) | ((sK7 @ X1) = $false)) )),
% 30.35/5.57 introduced(definition,[],[choice_axiom])).
% 30.35/5.57 thf(f3788,plain,(
% 30.35/5.57 ~spl0_48 | ~spl0_123),
% 30.35/5.57 inference(avatar_contradiction_clause,[status(thm)],[f3787])).
% 30.35/5.57 thf(f3787,plain,(
% 30.35/5.57 $false | (~spl0_48 | ~spl0_123)),
% 30.35/5.57 inference(trivial_inequality_removal,[status(thm)],[f3783])).
% 30.35/5.57 thf(f3783,plain,(
% 30.35/5.57 ($true = $false) | (~spl0_48 | ~spl0_123)),
% 30.35/5.57 inference(backward_demodulation,[status(thm)],[f1648,f487])).
% 30.35/5.57 thf(f3756,plain,(
% 30.35/5.57 ~spl0_47 | ~spl0_51 | ~spl0_187 | ~spl0_189),
% 30.35/5.57 inference(avatar_contradiction_clause,[status(thm)],[f3755])).
% 30.35/5.57 thf(f3755,plain,(
% 30.35/5.57 $false | (~spl0_47 | ~spl0_51 | ~spl0_187 | ~spl0_189)),
% 30.35/5.57 inference(trivial_inequality_removal,[status(thm)],[f3754])).
% 30.35/5.57 thf(f3754,plain,(
% 30.35/5.57 ($true = $false) | (~spl0_47 | ~spl0_51 | ~spl0_187 | ~spl0_189)),
% 30.35/5.57 inference(backward_demodulation,[status(thm)],[f1525,f3753])).
% 30.35/5.57 thf(f3753,plain,(
% 30.35/5.57 ((sK7 @ $false) = $false) | (~spl0_187 | ~spl0_189)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f3724,f3732])).
% 30.35/5.57 thf(f1525,plain,(
% 30.35/5.57 ($true = (sK7 @ $false)) | (~spl0_47 | ~spl0_51)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f484,f501])).
% 30.35/5.57 thf(f3752,plain,(
% 30.35/5.57 ~spl0_38 | ~spl0_47 | ~spl0_50 | ~spl0_51 | ~spl0_92 | ~spl0_189),
% 30.35/5.57 inference(avatar_contradiction_clause,[status(thm)],[f3751])).
% 30.35/5.57 thf(f3751,plain,(
% 30.35/5.57 $false | (~spl0_38 | ~spl0_47 | ~spl0_50 | ~spl0_51 | ~spl0_92 | ~spl0_189)),
% 30.35/5.57 inference(subsumption_resolution,[status(thm)],[f3750,f1011])).
% 30.35/5.57 thf(f3750,plain,(
% 30.35/5.57 ((sK6 @ $false) != $true) | (~spl0_38 | ~spl0_47 | ~spl0_50 | ~spl0_51 | ~spl0_189)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f3749,f1525])).
% 30.35/5.57 thf(f3749,plain,(
% 30.35/5.57 ((sK6 @ $false) != (sK7 @ $false)) | (~spl0_38 | ~spl0_50 | ~spl0_189)),
% 30.35/5.57 inference(backward_demodulation,[status(thm)],[f3549,f3732])).
% 30.35/5.57 thf(f3549,plain,(
% 30.35/5.57 ((sK6 @ sK66) != (sK7 @ sK66)) | (~spl0_38 | ~spl0_50)),
% 30.35/5.57 inference(negative_extensionality,[status(thm)],[f3539])).
% 30.35/5.57 thf(f3539,plain,(
% 30.35/5.57 (sK6 != sK7) | (~spl0_38 | ~spl0_50)),
% 30.35/5.57 inference(trivial_inequality_removal,[status(thm)],[f3535])).
% 30.35/5.57 thf(f3535,plain,(
% 30.35/5.57 ($true = $false) | (sK6 != sK7) | (~spl0_38 | ~spl0_50)),
% 30.35/5.57 inference(constrained_superposition,[status(thm)],[f421,f496])).
% 30.35/5.57 thf(f3748,plain,(
% 30.35/5.57 spl0_189 | ~spl0_38 | ~spl0_50 | ~spl0_93 | ~spl0_120),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f3747,f1517,f1017,f495,f419,f3731])).
% 30.35/5.57 thf(f3747,plain,(
% 30.35/5.57 ($false = sK66) | (~spl0_38 | ~spl0_50 | ~spl0_93 | ~spl0_120)),
% 30.35/5.57 inference(subsumption_resolution,[status(thm)],[f3746,f1019])).
% 30.35/5.57 thf(f3746,plain,(
% 30.35/5.57 ($false = sK66) | ($true != (sK6 @ $true)) | (~spl0_38 | ~spl0_50 | ~spl0_120)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f3707,f1519])).
% 30.35/5.57 thf(f3707,plain,(
% 30.35/5.57 ($false = sK66) | ((sK6 @ $true) != (sK7 @ $true)) | (~spl0_38 | ~spl0_50)),
% 30.35/5.57 inference(fool_paramodulation,[status(thm)],[f3549])).
% 30.35/5.57 thf(f3720,plain,(
% 30.35/5.57 spl0_185 | spl0_186 | ~spl0_38 | ~spl0_50),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f3705,f495,f419,f3717,f3713])).
% 30.35/5.57 thf(f3705,plain,(
% 30.35/5.57 ($true = (sK6 @ sK66)) | ($true = (sK7 @ sK66)) | (~spl0_38 | ~spl0_50)),
% 30.35/5.57 inference(binary_proxy_clausification,[status(thm)],[f3549])).
% 30.35/5.57 thf(f3582,plain,(
% 30.35/5.57 spl0_147 | ~spl0_184 | ~spl0_51 | ~spl0_66),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f3577,f615,f499,f3579,f2000])).
% 30.35/5.57 thf(f3577,plain,(
% 30.35/5.57 (sK3 != sK7) | ((eps4 @ sK3) = $false) | (~spl0_51 | ~spl0_66)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f3574,f616])).
% 30.35/5.57 thf(f3574,plain,(
% 30.35/5.57 ((eps4 @ sK3) = $false) | (sK9 != sK7) | (~spl0_51 | ~spl0_66)),
% 30.35/5.57 inference(constrained_superposition,[status(thm)],[f501,f616])).
% 30.35/5.57 thf(f3481,plain,(
% 30.35/5.57 ~spl0_2 | ~spl0_17 | spl0_24 | ~spl0_75 | ~spl0_77),
% 30.35/5.57 inference(avatar_contradiction_clause,[status(thm)],[f3480])).
% 30.35/5.57 thf(f3480,plain,(
% 30.35/5.57 $false | (~spl0_2 | ~spl0_17 | spl0_24 | ~spl0_75 | ~spl0_77)),
% 30.35/5.57 inference(subsumption_resolution,[status(thm)],[f3479,f98])).
% 30.35/5.57 thf(f3479,plain,(
% 30.35/5.57 ((sK2 @ sK65) != $false) | (~spl0_17 | spl0_24 | ~spl0_75 | ~spl0_77)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f3468,f683])).
% 30.35/5.57 thf(f3468,plain,(
% 30.35/5.57 ((sK2 @ sK65) != (sK10 @ sK65)) | (~spl0_17 | spl0_24 | ~spl0_77)),
% 30.35/5.57 inference(negative_extensionality,[status(thm)],[f3234])).
% 30.35/5.57 thf(f3234,plain,(
% 30.35/5.57 (sK10 != sK2) | (~spl0_17 | spl0_24 | ~spl0_77)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f3233,f206])).
% 30.35/5.57 thf(f3233,plain,(
% 30.35/5.57 (sK4 != sK10) | (~spl0_17 | spl0_24 | ~spl0_77)),
% 30.35/5.57 inference(subsumption_resolution,[status(thm)],[f3230,f263])).
% 30.35/5.57 thf(f3230,plain,(
% 30.35/5.57 ((eps3 @ sK2) = $false) | (sK4 != sK10) | (~spl0_17 | ~spl0_77)),
% 30.35/5.57 inference(constrained_superposition,[status(thm)],[f692,f206])).
% 30.35/5.57 thf(f3167,plain,(
% 30.35/5.57 spl0_134 | ~spl0_81 | ~spl0_132),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f3153,f1742,f730,f1766])).
% 30.35/5.57 thf(f3153,plain,(
% 30.35/5.57 ((eps5 @ sK2) = $true) | (~spl0_81 | ~spl0_132)),
% 30.35/5.57 inference(backward_demodulation,[status(thm)],[f732,f1743])).
% 30.35/5.57 thf(f3163,plain,(
% 30.35/5.57 ~spl0_25 | ~spl0_81 | ~spl0_132),
% 30.35/5.57 inference(avatar_contradiction_clause,[status(thm)],[f3162])).
% 30.35/5.57 thf(f3162,plain,(
% 30.35/5.57 $false | (~spl0_25 | ~spl0_81 | ~spl0_132)),
% 30.35/5.57 inference(trivial_inequality_removal,[status(thm)],[f3161])).
% 30.35/5.57 thf(f3161,plain,(
% 30.35/5.57 ($true = $false) | (~spl0_25 | ~spl0_81 | ~spl0_132)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f3153,f269])).
% 30.35/5.57 thf(f3146,plain,(
% 30.35/5.57 ~spl0_25 | ~spl0_32 | ~spl0_128),
% 30.35/5.57 inference(avatar_contradiction_clause,[status(thm)],[f3145])).
% 30.35/5.57 thf(f3145,plain,(
% 30.35/5.57 $false | (~spl0_25 | ~spl0_32 | ~spl0_128)),
% 30.35/5.57 inference(trivial_inequality_removal,[status(thm)],[f3144])).
% 30.35/5.57 thf(f3144,plain,(
% 30.35/5.57 ($true = $false) | (~spl0_25 | ~spl0_32 | ~spl0_128)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f3140,f269])).
% 30.35/5.57 thf(f3140,plain,(
% 30.35/5.57 ((eps5 @ sK2) = $true) | (~spl0_32 | ~spl0_128)),
% 30.35/5.57 inference(backward_demodulation,[status(thm)],[f337,f1722])).
% 30.35/5.57 thf(f3137,plain,(
% 30.35/5.57 ~spl0_2 | ~spl0_83 | spl0_132),
% 30.35/5.57 inference(avatar_contradiction_clause,[status(thm)],[f3136])).
% 30.35/5.57 thf(f3136,plain,(
% 30.35/5.57 $false | (~spl0_2 | ~spl0_83 | spl0_132)),
% 30.35/5.57 inference(subsumption_resolution,[status(thm)],[f3093,f98])).
% 30.35/5.57 thf(f3093,plain,(
% 30.35/5.57 ((sK2 @ $false) != $false) | (~spl0_2 | ~spl0_83 | spl0_132)),
% 30.35/5.57 inference(backward_demodulation,[status(thm)],[f2756,f3092])).
% 30.35/5.57 thf(f3092,plain,(
% 30.35/5.57 (sK47 = $false) | (~spl0_2 | ~spl0_83 | spl0_132)),
% 30.35/5.57 inference(subsumption_resolution,[status(thm)],[f2790,f98])).
% 30.35/5.57 thf(f2790,plain,(
% 30.35/5.57 (sK47 = $false) | ((sK2 @ $true) != $false) | (~spl0_83 | spl0_132)),
% 30.35/5.57 inference(fool_paramodulation,[status(thm)],[f2756])).
% 30.35/5.57 thf(f2756,plain,(
% 30.35/5.57 ((sK2 @ sK47) != $false) | (~spl0_83 | spl0_132)),
% 30.35/5.57 inference(backward_demodulation,[status(thm)],[f1798,f740])).
% 30.35/5.57 thf(f1798,plain,(
% 30.35/5.57 ((sK11 @ sK47) != (sK2 @ sK47)) | spl0_132),
% 30.35/5.57 inference(negative_extensionality,[status(thm)],[f1744])).
% 30.35/5.57 thf(f3135,plain,(
% 30.35/5.57 ~spl0_2 | ~spl0_34 | spl0_128),
% 30.35/5.57 inference(avatar_contradiction_clause,[status(thm)],[f3134])).
% 30.35/5.57 thf(f3134,plain,(
% 30.35/5.57 $false | (~spl0_2 | ~spl0_34 | spl0_128)),
% 30.35/5.57 inference(subsumption_resolution,[status(thm)],[f3091,f98])).
% 30.35/5.57 thf(f3091,plain,(
% 30.35/5.57 ((sK2 @ $false) != $false) | (~spl0_2 | ~spl0_34 | spl0_128)),
% 30.35/5.57 inference(backward_demodulation,[status(thm)],[f1789,f3090])).
% 30.35/5.57 thf(f3090,plain,(
% 30.35/5.57 (sK44 = $false) | (~spl0_2 | ~spl0_34 | spl0_128)),
% 30.35/5.57 inference(subsumption_resolution,[status(thm)],[f1808,f98])).
% 30.35/5.57 thf(f1808,plain,(
% 30.35/5.57 (sK44 = $false) | ((sK2 @ $true) != $false) | (~spl0_34 | spl0_128)),
% 30.35/5.57 inference(fool_paramodulation,[status(thm)],[f1789])).
% 30.35/5.57 thf(f1789,plain,(
% 30.35/5.57 ((sK2 @ sK44) != $false) | (~spl0_34 | spl0_128)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f1785,f345])).
% 30.35/5.57 thf(f1785,plain,(
% 30.35/5.57 ((sK2 @ sK44) != (sK5 @ sK44)) | spl0_128),
% 30.35/5.57 inference(negative_extensionality,[status(thm)],[f1723])).
% 30.35/5.57 thf(f3010,plain,(
% 30.35/5.57 ~spl0_5 | ~spl0_7),
% 30.35/5.57 inference(avatar_contradiction_clause,[status(thm)],[f3009])).
% 30.35/5.57 thf(f3009,plain,(
% 30.35/5.57 $false | (~spl0_5 | ~spl0_7)),
% 30.35/5.57 inference(trivial_inequality_removal,[status(thm)],[f3008])).
% 30.35/5.57 thf(f3008,plain,(
% 30.35/5.57 ($true = $false) | (~spl0_5 | ~spl0_7)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f121,f112])).
% 30.35/5.57 thf(f2763,plain,(
% 30.35/5.57 ~spl0_163 | ~spl0_83 | spl0_85),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f2762,f748,f739,f2697])).
% 30.35/5.57 thf(f2762,plain,(
% 30.35/5.57 ((sK3 @ sK48) != $false) | (~spl0_83 | spl0_85)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f2019,f740])).
% 30.35/5.57 thf(f2019,plain,(
% 30.35/5.57 ((sK3 @ sK48) != (sK11 @ sK48)) | spl0_85),
% 30.35/5.57 inference(negative_extensionality,[status(thm)],[f750])).
% 30.35/5.57 thf(f2569,plain,(
% 30.35/5.57 ~spl0_1 | ~spl0_6 | spl0_61 | ~spl0_87 | ~spl0_109 | ~spl0_158),
% 30.35/5.57 inference(avatar_contradiction_clause,[status(thm)],[f2568])).
% 30.35/5.57 thf(f2568,plain,(
% 30.35/5.57 $false | (~spl0_1 | ~spl0_6 | spl0_61 | ~spl0_87 | ~spl0_109 | ~spl0_158)),
% 30.35/5.57 inference(subsumption_resolution,[status(thm)],[f2567,f1325])).
% 30.35/5.57 thf(f2567,plain,(
% 30.35/5.57 ($true != (sK2 @ $false)) | (~spl0_1 | ~spl0_6 | spl0_61 | ~spl0_87 | ~spl0_158)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f2566,f2561])).
% 30.35/5.57 thf(f2561,plain,(
% 30.35/5.57 (sK43 = $false) | (~spl0_1 | ~spl0_6 | spl0_61 | ~spl0_158)),
% 30.35/5.57 inference(subsumption_resolution,[status(thm)],[f2560,f285])).
% 30.35/5.57 thf(f285,plain,(
% 30.35/5.57 ($true = (sK2 @ $true)) | (~spl0_1 | ~spl0_6)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f95,f117])).
% 30.35/5.57 thf(f95,plain,(
% 30.35/5.57 ($true = (sK2 @ (eps2 @ sK2))) | ~spl0_1),
% 30.35/5.57 inference(avatar_component_clause,[status(thm)],[f93])).
% 30.35/5.57 thf(f2560,plain,(
% 30.35/5.57 ($true != (sK2 @ $true)) | (sK43 = $false) | (spl0_61 | ~spl0_158)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f2541,f2365])).
% 30.35/5.57 thf(f2541,plain,(
% 30.35/5.57 (sK43 = $false) | ((sK2 @ $true) != (sK8 @ $true)) | spl0_61),
% 30.35/5.57 inference(fool_paramodulation,[status(thm)],[f1781])).
% 30.35/5.57 thf(f1781,plain,(
% 30.35/5.57 ((sK8 @ sK43) != (sK2 @ sK43)) | spl0_61),
% 30.35/5.57 inference(negative_extensionality,[status(thm)],[f572])).
% 30.35/5.57 thf(f2566,plain,(
% 30.35/5.57 ($true != (sK2 @ sK43)) | (~spl0_1 | ~spl0_6 | spl0_61 | ~spl0_87 | ~spl0_158)),
% 30.35/5.57 inference(subsumption_resolution,[status(thm)],[f2545,f2561])).
% 30.35/5.57 thf(f2545,plain,(
% 30.35/5.57 (sK43 != $false) | ($true != (sK2 @ sK43)) | (spl0_61 | ~spl0_87)),
% 30.35/5.57 inference(constrained_superposition,[status(thm)],[f1781,f855])).
% 30.35/5.57 thf(f2432,plain,(
% 30.35/5.57 ~spl0_89 | ~spl0_158),
% 30.35/5.57 inference(avatar_contradiction_clause,[status(thm)],[f2431])).
% 30.35/5.57 thf(f2431,plain,(
% 30.35/5.57 $false | (~spl0_89 | ~spl0_158)),
% 30.35/5.57 inference(trivial_inequality_removal,[status(thm)],[f2430])).
% 30.35/5.57 thf(f2430,plain,(
% 30.35/5.57 ($true = $false) | (~spl0_89 | ~spl0_158)),
% 30.35/5.57 inference(backward_demodulation,[status(thm)],[f2365,f873])).
% 30.35/5.57 thf(f873,plain,(
% 30.35/5.57 ((sK8 @ $true) = $false) | ~spl0_89),
% 30.35/5.57 inference(avatar_component_clause,[status(thm)],[f872])).
% 30.35/5.57 thf(f872,definition,(
% 30.35/5.57 spl0_89 <=> ((sK8 @ $true) = $false)),
% 30.35/5.57 introduced(definition,[new_symbols(naming,[spl0_89])],[avatar_definition])).
% 30.35/5.57 thf(f2424,plain,(
% 30.35/5.57 spl0_89 | ~spl0_87 | ~spl0_154),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f2423,f2326,f853,f872])).
% 30.35/5.57 thf(f2326,definition,(
% 30.35/5.57 spl0_154 <=> ((sK8 @ sK25) = $false)),
% 30.35/5.57 introduced(definition,[new_symbols(naming,[spl0_154])],[avatar_definition])).
% 30.35/5.57 thf(f2423,plain,(
% 30.35/5.57 ((sK8 @ $true) = $false) | (~spl0_87 | ~spl0_154)),
% 30.35/5.57 inference(subsumption_resolution,[status(thm)],[f2405,f2418])).
% 30.35/5.57 thf(f2418,plain,(
% 30.35/5.57 (sK25 != $false) | (~spl0_87 | ~spl0_154)),
% 30.35/5.57 inference(trivial_inequality_removal,[status(thm)],[f2408])).
% 30.35/5.57 thf(f2408,plain,(
% 30.35/5.57 ($true = $false) | (sK25 != $false) | (~spl0_87 | ~spl0_154)),
% 30.35/5.57 inference(constrained_superposition,[status(thm)],[f2328,f855])).
% 30.35/5.57 thf(f2328,plain,(
% 30.35/5.57 ((sK8 @ sK25) = $false) | ~spl0_154),
% 30.35/5.57 inference(avatar_component_clause,[status(thm)],[f2326])).
% 30.35/5.57 thf(f2405,plain,(
% 30.35/5.57 ((sK8 @ $true) = $false) | (sK25 = $false) | ~spl0_154),
% 30.35/5.57 inference(fool_paramodulation,[status(thm)],[f2328])).
% 30.35/5.57 thf(f2386,plain,(
% 30.35/5.57 ~spl0_55 | ~spl0_58),
% 30.35/5.57 inference(avatar_contradiction_clause,[status(thm)],[f2385])).
% 30.35/5.57 thf(f2385,plain,(
% 30.35/5.57 $false | (~spl0_55 | ~spl0_58)),
% 30.35/5.57 inference(trivial_inequality_removal,[status(thm)],[f2384])).
% 30.35/5.57 thf(f2384,plain,(
% 30.35/5.57 ($true = $false) | (~spl0_55 | ~spl0_58)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f559,f545])).
% 30.35/5.57 thf(f2369,plain,(
% 30.35/5.57 spl0_59 | spl0_158 | ~spl0_57),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f914,f552,f2363,f562])).
% 30.35/5.57 thf(f914,plain,(
% 30.35/5.57 ( ! [X1 : $o] : (($true = (sK8 @ $true)) | ((sK8 @ X1) = $false)) ) | ~spl0_57),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f904,f553])).
% 30.35/5.57 thf(f904,plain,(
% 30.35/5.57 ( ! [X1 : $o] : (($true = (sK8 @ (eps1 @ sK8))) | ((sK8 @ X1) = $false)) )),
% 30.35/5.57 introduced(definition,[],[choice_axiom])).
% 30.35/5.57 thf(f2368,plain,(
% 30.35/5.57 spl0_154 | ~spl0_39 | spl0_56 | ~spl0_156),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f2367,f2335,f547,f423,f2326])).
% 30.35/5.57 thf(f2367,plain,(
% 30.35/5.57 ((sK8 @ sK25) = $false) | (~spl0_39 | spl0_56 | ~spl0_156)),
% 30.35/5.57 inference(subsumption_resolution,[status(thm)],[f2322,f2337])).
% 30.35/5.57 thf(f2322,plain,(
% 30.35/5.57 ($true != (sK6 @ sK25)) | ((sK8 @ sK25) = $false) | (~spl0_39 | spl0_56)),
% 30.35/5.57 inference(fool_paramodulation,[status(thm)],[f891])).
% 30.35/5.57 thf(f891,plain,(
% 30.35/5.57 ((sK6 @ sK25) != (sK8 @ sK25)) | (~spl0_39 | spl0_56)),
% 30.35/5.57 inference(negative_extensionality,[status(thm)],[f888])).
% 30.35/5.57 thf(f888,plain,(
% 30.35/5.57 (sK8 != sK6) | (~spl0_39 | spl0_56)),
% 30.35/5.57 inference(trivial_inequality_removal,[status(thm)],[f886])).
% 30.35/5.57 thf(f886,plain,(
% 30.35/5.57 (sK8 != sK6) | ($false != $false) | (~spl0_39 | spl0_56)),
% 30.35/5.57 inference(constrained_superposition,[status(thm)],[f548,f425])).
% 30.35/5.57 thf(f2361,plain,(
% 30.35/5.57 ~spl0_39 | spl0_56 | ~spl0_57 | ~spl0_62 | ~spl0_87 | ~spl0_92 | ~spl0_93),
% 30.35/5.57 inference(avatar_contradiction_clause,[status(thm)],[f2360])).
% 30.35/5.57 thf(f2360,plain,(
% 30.35/5.57 $false | (~spl0_39 | spl0_56 | ~spl0_57 | ~spl0_62 | ~spl0_87 | ~spl0_92 | ~spl0_93)),
% 30.35/5.57 inference(subsumption_resolution,[status(thm)],[f2359,f1011])).
% 30.35/5.57 thf(f2359,plain,(
% 30.35/5.57 ((sK6 @ $false) != $true) | (~spl0_39 | spl0_56 | ~spl0_57 | ~spl0_62 | ~spl0_87 | ~spl0_93)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f2358,f2344])).
% 30.35/5.57 thf(f2344,plain,(
% 30.35/5.57 (sK25 = $false) | (~spl0_39 | spl0_56 | ~spl0_57 | ~spl0_62 | ~spl0_93)),
% 30.35/5.57 inference(subsumption_resolution,[status(thm)],[f2343,f1019])).
% 30.35/5.57 thf(f2343,plain,(
% 30.35/5.57 ($true != (sK6 @ $true)) | (sK25 = $false) | (~spl0_39 | spl0_56 | ~spl0_57 | ~spl0_62)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f2321,f850])).
% 30.35/5.57 thf(f850,plain,(
% 30.35/5.57 ($true = (sK8 @ $true)) | (~spl0_57 | ~spl0_62)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f577,f553])).
% 30.35/5.57 thf(f577,plain,(
% 30.35/5.57 ($true = (sK8 @ (eps1 @ sK8))) | ~spl0_62),
% 30.35/5.57 inference(avatar_component_clause,[status(thm)],[f575])).
% 30.35/5.57 thf(f2321,plain,(
% 30.35/5.57 (sK25 = $false) | ((sK6 @ $true) != (sK8 @ $true)) | (~spl0_39 | spl0_56)),
% 30.35/5.57 inference(fool_paramodulation,[status(thm)],[f891])).
% 30.35/5.57 thf(f2358,plain,(
% 30.35/5.57 ($true != (sK6 @ sK25)) | (~spl0_39 | spl0_56 | ~spl0_57 | ~spl0_62 | ~spl0_87 | ~spl0_93)),
% 30.35/5.57 inference(subsumption_resolution,[status(thm)],[f2323,f2344])).
% 30.35/5.57 thf(f2323,plain,(
% 30.35/5.57 (sK25 != $false) | ($true != (sK6 @ sK25)) | (~spl0_39 | spl0_56 | ~spl0_87)),
% 30.35/5.57 inference(constrained_superposition,[status(thm)],[f891,f855])).
% 30.35/5.57 thf(f2342,plain,(
% 30.35/5.57 spl0_156 | spl0_157 | ~spl0_39 | spl0_56),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f2319,f547,f423,f2339,f2335])).
% 30.35/5.57 thf(f2319,plain,(
% 30.35/5.57 ($true = (sK6 @ sK25)) | ($true = (sK8 @ sK25)) | (~spl0_39 | spl0_56)),
% 30.35/5.57 inference(binary_proxy_clausification,[status(thm)],[f891])).
% 30.35/5.57 thf(f2231,plain,(
% 30.35/5.57 ~spl0_71 | ~spl0_78 | ~spl0_112),
% 30.35/5.57 inference(avatar_contradiction_clause,[status(thm)],[f2230])).
% 30.35/5.57 thf(f2230,plain,(
% 30.35/5.57 $false | (~spl0_71 | ~spl0_78 | ~spl0_112)),
% 30.35/5.57 inference(trivial_inequality_removal,[status(thm)],[f2229])).
% 30.35/5.57 thf(f2229,plain,(
% 30.35/5.57 ($true = $false) | (~spl0_71 | ~spl0_78 | ~spl0_112)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f2124,f1453])).
% 30.35/5.57 thf(f1453,plain,(
% 30.35/5.57 ((sK10 @ $true) = $false) | ~spl0_112),
% 30.35/5.57 inference(avatar_component_clause,[status(thm)],[f1452])).
% 30.35/5.57 thf(f1452,definition,(
% 30.35/5.57 spl0_112 <=> ((sK10 @ $true) = $false)),
% 30.35/5.57 introduced(definition,[new_symbols(naming,[spl0_112])],[avatar_definition])).
% 30.35/5.57 thf(f2124,plain,(
% 30.35/5.57 ($true = (sK10 @ $true)) | (~spl0_71 | ~spl0_78)),
% 30.35/5.57 inference(backward_demodulation,[status(thm)],[f698,f666])).
% 30.35/5.57 thf(f2221,plain,(
% 30.35/5.57 spl0_152 | spl0_112 | ~spl0_148),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f2220,f2066,f1452,f2170])).
% 30.35/5.57 thf(f2220,plain,(
% 30.35/5.57 (sK19 = $false) | (spl0_112 | ~spl0_148)),
% 30.35/5.57 inference(subsumption_resolution,[status(thm)],[f2205,f1454])).
% 30.35/5.57 thf(f1454,plain,(
% 30.35/5.57 ((sK10 @ $true) != $false) | spl0_112),
% 30.35/5.57 inference(avatar_component_clause,[status(thm)],[f1452])).
% 30.35/5.57 thf(f2205,plain,(
% 30.35/5.57 (sK19 = $false) | ((sK10 @ $true) = $false) | ~spl0_148),
% 30.35/5.57 inference(fool_paramodulation,[status(thm)],[f2068])).
% 30.35/5.57 thf(f2187,plain,(
% 30.35/5.57 ~spl0_148 | ~spl0_150),
% 30.35/5.57 inference(avatar_contradiction_clause,[status(thm)],[f2186])).
% 30.35/5.57 thf(f2186,plain,(
% 30.35/5.57 $false | (~spl0_148 | ~spl0_150)),
% 30.35/5.57 inference(trivial_inequality_removal,[status(thm)],[f2185])).
% 30.35/5.57 thf(f2185,plain,(
% 30.35/5.57 ($true = $false) | (~spl0_148 | ~spl0_150)),
% 30.35/5.57 inference(backward_demodulation,[status(thm)],[f2077,f2068])).
% 30.35/5.57 thf(f2184,plain,(
% 30.35/5.57 ~spl0_9 | ~spl0_12 | ~spl0_45),
% 30.35/5.57 inference(avatar_contradiction_clause,[status(thm)],[f2183])).
% 30.35/5.57 thf(f2183,plain,(
% 30.35/5.57 $false | (~spl0_9 | ~spl0_12 | ~spl0_45)),
% 30.35/5.57 inference(trivial_inequality_removal,[status(thm)],[f2182])).
% 30.35/5.57 thf(f2182,plain,(
% 30.35/5.57 ($true = $false) | (~spl0_9 | ~spl0_12 | ~spl0_45)),
% 30.35/5.57 inference(backward_demodulation,[status(thm)],[f406,f468])).
% 30.35/5.57 thf(f2168,plain,(
% 30.35/5.57 ~spl0_37 | spl0_45 | ~spl0_149),
% 30.35/5.57 inference(avatar_contradiction_clause,[status(thm)],[f2167])).
% 30.35/5.57 thf(f2167,plain,(
% 30.35/5.57 $false | (~spl0_37 | spl0_45 | ~spl0_149)),
% 30.35/5.57 inference(subsumption_resolution,[status(thm)],[f2143,f2151])).
% 30.35/5.57 thf(f2151,plain,(
% 30.35/5.57 (sK19 = $false) | (spl0_45 | ~spl0_149)),
% 30.35/5.57 inference(subsumption_resolution,[status(thm)],[f2134,f469])).
% 30.35/5.57 thf(f2134,plain,(
% 30.35/5.57 ((sK3 @ $true) = $false) | (sK19 = $false) | ~spl0_149),
% 30.35/5.57 inference(fool_paramodulation,[status(thm)],[f2072])).
% 30.35/5.57 thf(f2072,plain,(
% 30.35/5.57 ((sK3 @ sK19) = $false) | ~spl0_149),
% 30.35/5.57 inference(avatar_component_clause,[status(thm)],[f2070])).
% 30.35/5.57 thf(f2070,definition,(
% 30.35/5.57 spl0_149 <=> ((sK3 @ sK19) = $false)),
% 30.35/5.57 introduced(definition,[new_symbols(naming,[spl0_149])],[avatar_definition])).
% 30.35/5.57 thf(f2143,plain,(
% 30.35/5.57 (sK19 != $false) | (~spl0_37 | ~spl0_149)),
% 30.35/5.57 inference(trivial_inequality_removal,[status(thm)],[f2137])).
% 30.35/5.57 thf(f2137,plain,(
% 30.35/5.57 ($true = $false) | (sK19 != $false) | (~spl0_37 | ~spl0_149)),
% 30.35/5.57 inference(constrained_superposition,[status(thm)],[f2072,f375])).
% 30.35/5.57 thf(f2108,plain,(
% 30.35/5.57 spl0_65 | ~spl0_66 | ~spl0_73 | ~spl0_76),
% 30.35/5.57 inference(avatar_contradiction_clause,[status(thm)],[f2107])).
% 30.35/5.57 thf(f2107,plain,(
% 30.35/5.57 $false | (spl0_65 | ~spl0_66 | ~spl0_73 | ~spl0_76)),
% 30.35/5.57 inference(subsumption_resolution,[status(thm)],[f2104,f1884])).
% 30.35/5.57 thf(f2104,plain,(
% 30.35/5.57 ($false = (eps2 @ sK3)) | (~spl0_73 | ~spl0_76)),
% 30.35/5.57 inference(backward_demodulation,[status(thm)],[f688,f674])).
% 30.35/5.57 thf(f2098,plain,(
% 30.35/5.57 ~spl0_9 | ~spl0_12 | ~spl0_37 | spl0_73 | ~spl0_76 | ~spl0_78 | ~spl0_110),
% 30.35/5.57 inference(avatar_contradiction_clause,[status(thm)],[f2097])).
% 30.35/5.57 thf(f2097,plain,(
% 30.35/5.57 $false | (~spl0_9 | ~spl0_12 | ~spl0_37 | spl0_73 | ~spl0_76 | ~spl0_78 | ~spl0_110)),
% 30.35/5.57 inference(subsumption_resolution,[status(thm)],[f2096,f375])).
% 30.35/5.57 thf(f2096,plain,(
% 30.35/5.57 ((sK3 @ $false) != $true) | (~spl0_9 | ~spl0_12 | spl0_73 | ~spl0_76 | ~spl0_78 | ~spl0_110)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f2095,f2084])).
% 30.35/5.57 thf(f2084,plain,(
% 30.35/5.57 (sK19 = $false) | (~spl0_9 | ~spl0_12 | spl0_73 | ~spl0_110)),
% 30.35/5.57 inference(subsumption_resolution,[status(thm)],[f2083,f1342])).
% 30.35/5.57 thf(f2083,plain,(
% 30.35/5.57 (sK19 = $false) | ($true != (sK10 @ $true)) | (~spl0_9 | ~spl0_12 | spl0_73)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f2061,f406])).
% 30.35/5.57 thf(f2061,plain,(
% 30.35/5.57 (sK19 = $false) | ((sK10 @ $true) != (sK3 @ $true)) | spl0_73),
% 30.35/5.57 inference(fool_paramodulation,[status(thm)],[f705])).
% 30.35/5.57 thf(f705,plain,(
% 30.35/5.57 ((sK10 @ sK19) != (sK3 @ sK19)) | spl0_73),
% 30.35/5.57 inference(negative_extensionality,[status(thm)],[f675])).
% 30.35/5.57 thf(f675,plain,(
% 30.35/5.57 (sK10 != sK3) | spl0_73),
% 30.35/5.57 inference(avatar_component_clause,[status(thm)],[f673])).
% 30.35/5.57 thf(f2095,plain,(
% 30.35/5.57 ($true != (sK3 @ sK19)) | (~spl0_9 | ~spl0_12 | spl0_73 | ~spl0_76 | ~spl0_78 | ~spl0_110)),
% 30.35/5.57 inference(subsumption_resolution,[status(thm)],[f2063,f2084])).
% 30.35/5.57 thf(f2063,plain,(
% 30.35/5.57 ($true != (sK3 @ sK19)) | (sK19 != $false) | (spl0_73 | ~spl0_76 | ~spl0_78)),
% 30.35/5.57 inference(constrained_superposition,[status(thm)],[f705,f1355])).
% 30.35/5.57 thf(f1355,plain,(
% 30.35/5.57 ((sK10 @ $false) = $true) | (~spl0_76 | ~spl0_78)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f698,f688])).
% 30.35/5.57 thf(f2082,plain,(
% 30.35/5.57 spl0_150 | spl0_151 | spl0_73),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f2059,f673,f2079,f2075])).
% 30.35/5.57 thf(f2059,plain,(
% 30.35/5.57 ((sK10 @ sK19) = $true) | ($true = (sK3 @ sK19)) | spl0_73),
% 30.35/5.57 inference(binary_proxy_clausification,[status(thm)],[f705])).
% 30.35/5.57 thf(f2073,plain,(
% 30.35/5.57 spl0_148 | spl0_149 | spl0_73),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f2060,f673,f2070,f2066])).
% 30.35/5.57 thf(f2060,plain,(
% 30.35/5.57 ((sK10 @ sK19) = $false) | ((sK3 @ sK19) = $false) | spl0_73),
% 30.35/5.57 inference(binary_proxy_clausification,[status(thm)],[f705])).
% 30.35/5.57 thf(f1996,plain,(
% 30.35/5.57 ~spl0_143 | ~spl0_146 | ~spl0_21 | spl0_56 | ~spl0_66),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f1995,f615,f547,f222,f1983,f1965])).
% 30.35/5.57 thf(f1995,plain,(
% 30.35/5.57 (sK4 != sK3) | (sK8 != sK3) | (~spl0_21 | spl0_56 | ~spl0_66)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f1947,f616])).
% 30.35/5.57 thf(f1947,plain,(
% 30.35/5.57 (sK9 != sK8) | (sK4 != sK3) | (~spl0_21 | spl0_56 | ~spl0_66)),
% 30.35/5.57 inference(constrained_superposition,[status(thm)],[f889,f616])).
% 30.35/5.57 thf(f889,plain,(
% 30.35/5.57 (sK4 != sK8) | (~spl0_21 | spl0_56)),
% 30.35/5.57 inference(trivial_inequality_removal,[status(thm)],[f887])).
% 30.35/5.57 thf(f887,plain,(
% 30.35/5.57 ($false != $false) | (sK4 != sK8) | (~spl0_21 | spl0_56)),
% 30.35/5.57 inference(constrained_superposition,[status(thm)],[f548,f224])).
% 30.35/5.57 thf(f1980,plain,(
% 30.35/5.57 ~spl0_143 | ~spl0_145 | spl0_56 | ~spl0_66),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f1975,f615,f547,f1977,f1965])).
% 30.35/5.57 thf(f1975,plain,(
% 30.35/5.57 (sK8 != sK3) | ($false != (eps1 @ sK3)) | (spl0_56 | ~spl0_66)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f1936,f616])).
% 30.35/5.57 thf(f1936,plain,(
% 30.35/5.57 ($false != (eps1 @ sK3)) | (sK9 != sK8) | (spl0_56 | ~spl0_66)),
% 30.35/5.57 inference(constrained_superposition,[status(thm)],[f548,f616])).
% 30.35/5.57 thf(f1968,plain,(
% 30.35/5.57 ~spl0_142 | ~spl0_143 | ~spl0_39 | spl0_56 | ~spl0_66),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f1959,f615,f547,f423,f1965,f1961])).
% 30.35/5.57 thf(f1959,plain,(
% 30.35/5.57 (sK8 != sK3) | (sK3 != sK6) | (~spl0_39 | spl0_56 | ~spl0_66)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f1946,f616])).
% 30.35/5.57 thf(f1946,plain,(
% 30.35/5.57 (sK3 != sK6) | (sK9 != sK8) | (~spl0_39 | spl0_56 | ~spl0_66)),
% 30.35/5.57 inference(constrained_superposition,[status(thm)],[f888,f616])).
% 30.35/5.57 thf(f1893,plain,(
% 30.35/5.57 spl0_138 | spl0_139),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f1892,f1844,f1839])).
% 30.35/5.57 thf(f1892,plain,(
% 30.35/5.57 (sK18 = $false) | spl0_139),
% 30.35/5.57 inference(trivial_inequality_removal,[status(thm)],[f1891])).
% 30.35/5.57 thf(f1891,plain,(
% 30.35/5.57 (sK18 = $false) | ($true != $true) | spl0_139),
% 30.35/5.57 inference(fool_paramodulation,[status(thm)],[f1846])).
% 30.35/5.57 thf(f1846,plain,(
% 30.35/5.57 ($true != sK18) | spl0_139),
% 30.35/5.57 inference(avatar_component_clause,[status(thm)],[f1844])).
% 30.35/5.57 thf(f1878,plain,(
% 30.35/5.57 ~spl0_32 | ~spl0_34 | ~spl0_64 | ~spl0_68),
% 30.35/5.57 inference(avatar_contradiction_clause,[status(thm)],[f1877])).
% 30.35/5.57 thf(f1877,plain,(
% 30.35/5.57 $false | (~spl0_32 | ~spl0_34 | ~spl0_64 | ~spl0_68)),
% 30.35/5.57 inference(trivial_inequality_removal,[status(thm)],[f1875])).
% 30.35/5.57 thf(f1875,plain,(
% 30.35/5.57 ($false != $false) | (~spl0_32 | ~spl0_34 | ~spl0_64 | ~spl0_68)),
% 30.35/5.57 inference(superposition,[status(thm)],[f1612,f626])).
% 30.35/5.57 thf(f1612,plain,(
% 30.35/5.57 ($false != (sK9 @ sK42)) | (~spl0_32 | ~spl0_34 | ~spl0_64)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f1611,f345])).
% 30.35/5.57 thf(f1611,plain,(
% 30.35/5.57 ((sK5 @ sK42) != (sK9 @ sK42)) | (~spl0_32 | ~spl0_64)),
% 30.35/5.57 inference(negative_extensionality,[status(thm)],[f1608])).
% 30.35/5.57 thf(f1608,plain,(
% 30.35/5.57 (sK9 != sK5) | (~spl0_32 | ~spl0_64)),
% 30.35/5.57 inference(trivial_inequality_removal,[status(thm)],[f1598])).
% 30.35/5.57 thf(f1598,plain,(
% 30.35/5.57 (sK9 != sK5) | ($true = $false) | (~spl0_32 | ~spl0_64)),
% 30.35/5.57 inference(constrained_superposition,[status(thm)],[f337,f607])).
% 30.35/5.57 thf(f1865,plain,(
% 30.35/5.57 ~spl0_68 | ~spl0_90),
% 30.35/5.57 inference(avatar_contradiction_clause,[status(thm)],[f1864])).
% 30.35/5.57 thf(f1864,plain,(
% 30.35/5.57 $false | (~spl0_68 | ~spl0_90)),
% 30.35/5.57 inference(trivial_inequality_removal,[status(thm)],[f1861])).
% 30.35/5.57 thf(f1861,plain,(
% 30.35/5.57 ($true = $false) | (~spl0_68 | ~spl0_90)),
% 30.35/5.57 inference(backward_demodulation,[status(thm)],[f989,f626])).
% 30.35/5.57 thf(f1859,plain,(
% 30.35/5.57 ~spl0_91 | ~spl0_37 | spl0_66 | ~spl0_138),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f1858,f1839,f615,f373,f993])).
% 30.35/5.57 thf(f1858,plain,(
% 30.35/5.57 ($true != (sK9 @ $false)) | (~spl0_37 | spl0_66 | ~spl0_138)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f1857,f375])).
% 30.35/5.57 thf(f1857,plain,(
% 30.35/5.57 ((sK3 @ $false) != (sK9 @ $false)) | (spl0_66 | ~spl0_138)),
% 30.35/5.57 inference(backward_demodulation,[status(thm)],[f647,f1840])).
% 30.35/5.57 thf(f647,plain,(
% 30.35/5.57 ((sK3 @ sK18) != (sK9 @ sK18)) | spl0_66),
% 30.35/5.57 inference(negative_extensionality,[status(thm)],[f617])).
% 30.35/5.57 thf(f1855,plain,(
% 30.35/5.57 spl0_138 | ~spl0_9 | ~spl0_12 | spl0_66 | ~spl0_90),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f1854,f987,f615,f159,f146,f1839])).
% 30.35/5.57 thf(f1854,plain,(
% 30.35/5.57 (sK18 = $false) | (~spl0_9 | ~spl0_12 | spl0_66 | ~spl0_90)),
% 30.35/5.57 inference(subsumption_resolution,[status(thm)],[f1853,f406])).
% 30.35/5.57 thf(f1853,plain,(
% 30.35/5.57 ($true != (sK3 @ $true)) | (sK18 = $false) | (spl0_66 | ~spl0_90)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f1821,f989])).
% 30.35/5.57 thf(f1821,plain,(
% 30.35/5.57 (sK18 = $false) | ((sK3 @ $true) != (sK9 @ $true)) | spl0_66),
% 30.35/5.57 inference(fool_paramodulation,[status(thm)],[f647])).
% 30.35/5.57 thf(f1852,plain,(
% 30.35/5.57 spl0_140 | spl0_137 | spl0_66),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f1819,f615,f1835,f1849])).
% 30.35/5.57 thf(f1819,plain,(
% 30.35/5.57 ($true = (sK3 @ sK18)) | ($true = (sK9 @ sK18)) | spl0_66),
% 30.35/5.57 inference(binary_proxy_clausification,[status(thm)],[f647])).
% 30.35/5.57 thf(f1847,plain,(
% 30.35/5.57 ~spl0_137 | ~spl0_139 | spl0_66 | ~spl0_90),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f1824,f987,f615,f1844,f1835])).
% 30.35/5.57 thf(f1824,plain,(
% 30.35/5.57 ($true != sK18) | ($true != (sK3 @ sK18)) | (spl0_66 | ~spl0_90)),
% 30.35/5.57 inference(constrained_superposition,[status(thm)],[f647,f989])).
% 30.35/5.57 thf(f1738,plain,(
% 30.35/5.57 ~spl0_130 | spl0_131 | ~spl0_39 | ~spl0_52),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f1729,f504,f423,f1735,f1731])).
% 30.35/5.57 thf(f1729,plain,(
% 30.35/5.57 ((eps1 @ sK2) = $false) | (sK6 != sK2) | (~spl0_39 | ~spl0_52)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f1692,f505])).
% 30.35/5.57 thf(f1692,plain,(
% 30.35/5.57 ((eps1 @ sK2) = $false) | (sK6 != sK7) | (~spl0_39 | ~spl0_52)),
% 30.35/5.57 inference(constrained_superposition,[status(thm)],[f425,f505])).
% 30.35/5.57 thf(f1672,plain,(
% 30.35/5.57 spl0_127 | spl0_124 | spl0_52),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f1636,f504,f1651,f1669])).
% 30.35/5.57 thf(f1636,plain,(
% 30.35/5.57 ((sK7 @ sK17) = $false) | ((sK2 @ sK17) = $false) | spl0_52),
% 30.35/5.57 inference(binary_proxy_clausification,[status(thm)],[f526])).
% 30.35/5.57 thf(f526,plain,(
% 30.35/5.57 ((sK2 @ sK17) != (sK7 @ sK17)) | spl0_52),
% 30.35/5.57 inference(negative_extensionality,[status(thm)],[f506])).
% 30.35/5.57 thf(f506,plain,(
% 30.35/5.57 (sK2 != sK7) | spl0_52),
% 30.35/5.57 inference(avatar_component_clause,[status(thm)],[f504])).
% 30.35/5.57 thf(f1649,plain,(
% 30.35/5.57 spl0_122 | spl0_123 | spl0_52),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f1635,f504,f1646,f1642])).
% 30.35/5.57 thf(f1635,plain,(
% 30.35/5.57 ($true = (sK7 @ sK17)) | ((sK2 @ sK17) = $true) | spl0_52),
% 30.35/5.57 inference(binary_proxy_clausification,[status(thm)],[f526])).
% 30.35/5.57 thf(f1568,plain,(
% 30.35/5.57 ~spl0_37 | ~spl0_46 | spl0_115),
% 30.35/5.57 inference(avatar_contradiction_clause,[status(thm)],[f1567])).
% 30.35/5.57 thf(f1567,plain,(
% 30.35/5.57 $false | (~spl0_37 | ~spl0_46 | spl0_115)),
% 30.35/5.57 inference(subsumption_resolution,[status(thm)],[f1561,f375])).
% 30.35/5.57 thf(f1561,plain,(
% 30.35/5.57 ((sK3 @ $false) != $true) | (~spl0_46 | spl0_115)),
% 30.35/5.57 inference(backward_demodulation,[status(thm)],[f1490,f473])).
% 30.35/5.57 thf(f473,plain,(
% 30.35/5.57 (sK16 = $false) | ~spl0_46),
% 30.35/5.57 inference(avatar_component_clause,[status(thm)],[f471])).
% 30.35/5.57 thf(f1490,plain,(
% 30.35/5.57 ($true != (sK3 @ sK16)) | spl0_115),
% 30.35/5.57 inference(avatar_component_clause,[status(thm)],[f1488])).
% 30.35/5.57 thf(f1488,definition,(
% 30.35/5.57 spl0_115 <=> ($true = (sK3 @ sK16))),
% 30.35/5.57 introduced(definition,[new_symbols(naming,[spl0_115])],[avatar_definition])).
% 30.35/5.57 thf(f1560,plain,(
% 30.35/5.57 ~spl0_117 | ~spl0_119),
% 30.35/5.57 inference(avatar_contradiction_clause,[status(thm)],[f1559])).
% 30.35/5.57 thf(f1559,plain,(
% 30.35/5.57 $false | (~spl0_117 | ~spl0_119)),
% 30.35/5.57 inference(trivial_inequality_removal,[status(thm)],[f1558])).
% 30.35/5.57 thf(f1558,plain,(
% 30.35/5.57 ($true = $false) | (~spl0_117 | ~spl0_119)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f1510,f1500])).
% 30.35/5.57 thf(f1510,plain,(
% 30.35/5.57 ((sK5 @ sK16) = $true) | ~spl0_119),
% 30.35/5.57 inference(avatar_component_clause,[status(thm)],[f1508])).
% 30.35/5.57 thf(f1508,definition,(
% 30.35/5.57 spl0_119 <=> ((sK5 @ sK16) = $true)),
% 30.35/5.57 introduced(definition,[new_symbols(naming,[spl0_119])],[avatar_definition])).
% 30.35/5.57 thf(f1552,plain,(
% 30.35/5.57 spl0_121 | ~spl0_32 | ~spl0_36),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f1551,f354,f335,f1531])).
% 30.35/5.57 thf(f1551,plain,(
% 30.35/5.57 ($true = (sK5 @ $true)) | (~spl0_32 | ~spl0_36)),
% 30.35/5.57 inference(backward_demodulation,[status(thm)],[f356,f337])).
% 30.35/5.57 thf(f1546,plain,(
% 30.35/5.57 ~spl0_34 | ~spl0_101),
% 30.35/5.57 inference(avatar_contradiction_clause,[status(thm)],[f1545])).
% 30.35/5.57 thf(f1545,plain,(
% 30.35/5.57 $false | (~spl0_34 | ~spl0_101)),
% 30.35/5.57 inference(trivial_inequality_removal,[status(thm)],[f1541])).
% 30.35/5.57 thf(f1541,plain,(
% 30.35/5.57 ($true = $false) | (~spl0_34 | ~spl0_101)),
% 30.35/5.57 inference(backward_demodulation,[status(thm)],[f1231,f345])).
% 30.35/5.57 thf(f1514,plain,(
% 30.35/5.57 spl0_46 | ~spl0_9 | ~spl0_12 | spl0_30 | ~spl0_31 | ~spl0_33),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f1513,f340,f331,f326,f159,f146,f471])).
% 30.35/5.57 thf(f1513,plain,(
% 30.35/5.57 (sK16 = $false) | (~spl0_9 | ~spl0_12 | spl0_30 | ~spl0_31 | ~spl0_33)),
% 30.35/5.57 inference(subsumption_resolution,[status(thm)],[f1512,f406])).
% 30.35/5.57 thf(f1512,plain,(
% 30.35/5.57 (sK16 = $false) | ($true != (sK3 @ $true)) | (spl0_30 | ~spl0_31 | ~spl0_33)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f1483,f1233])).
% 30.35/5.57 thf(f1233,plain,(
% 30.35/5.57 ($true = (sK5 @ $true)) | (~spl0_31 | ~spl0_33)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f342,f333])).
% 30.35/5.57 thf(f342,plain,(
% 30.35/5.57 ($true = (sK5 @ (eps4 @ sK5))) | ~spl0_33),
% 30.35/5.57 inference(avatar_component_clause,[status(thm)],[f340])).
% 30.35/5.57 thf(f1483,plain,(
% 30.35/5.57 ((sK3 @ $true) != (sK5 @ $true)) | (sK16 = $false) | spl0_30),
% 30.35/5.57 inference(fool_paramodulation,[status(thm)],[f460])).
% 30.35/5.57 thf(f460,plain,(
% 30.35/5.57 ((sK5 @ sK16) != (sK3 @ sK16)) | spl0_30),
% 30.35/5.57 inference(negative_extensionality,[status(thm)],[f328])).
% 30.35/5.57 thf(f1511,plain,(
% 30.35/5.57 spl0_119 | spl0_115 | spl0_30),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f1481,f326,f1488,f1508])).
% 30.35/5.57 thf(f1481,plain,(
% 30.35/5.57 ((sK5 @ sK16) = $true) | ($true = (sK3 @ sK16)) | spl0_30),
% 30.35/5.57 inference(binary_proxy_clausification,[status(thm)],[f460])).
% 30.35/5.57 thf(f1506,plain,(
% 30.35/5.57 spl0_117 | spl0_118 | spl0_30),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f1482,f326,f1503,f1498])).
% 30.35/5.57 thf(f1482,plain,(
% 30.35/5.57 ((sK3 @ sK16) = $false) | ((sK5 @ sK16) = $false) | spl0_30),
% 30.35/5.57 inference(binary_proxy_clausification,[status(thm)],[f460])).
% 30.35/5.57 thf(f1501,plain,(
% 30.35/5.57 spl0_117 | ~spl0_115 | spl0_30),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f1484,f326,f1488,f1498])).
% 30.35/5.57 thf(f1484,plain,(
% 30.35/5.57 ((sK5 @ sK16) = $false) | ($true != (sK3 @ sK16)) | spl0_30),
% 30.35/5.57 inference(fool_paramodulation,[status(thm)],[f460])).
% 30.35/5.57 thf(f1496,plain,(
% 30.35/5.57 ~spl0_115 | ~spl0_46 | spl0_30 | ~spl0_101),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f1486,f1229,f326,f471,f1488])).
% 30.35/5.57 thf(f1486,plain,(
% 30.35/5.57 ($true != (sK3 @ sK16)) | (sK16 != $false) | (spl0_30 | ~spl0_101)),
% 30.35/5.57 inference(constrained_superposition,[status(thm)],[f460,f1231])).
% 30.35/5.57 thf(f1403,plain,(
% 30.35/5.57 ~spl0_79 | ~spl0_81),
% 30.35/5.57 inference(avatar_contradiction_clause,[status(thm)],[f1402])).
% 30.35/5.57 thf(f1402,plain,(
% 30.35/5.57 $false | (~spl0_79 | ~spl0_81)),
% 30.35/5.57 inference(trivial_inequality_removal,[status(thm)],[f1401])).
% 30.35/5.57 thf(f1401,plain,(
% 30.35/5.57 ($true = $false) | (~spl0_79 | ~spl0_81)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f732,f723])).
% 30.35/5.57 thf(f1397,plain,(
% 30.35/5.57 ~spl0_18 | ~spl0_21 | ~spl0_80 | ~spl0_83),
% 30.35/5.57 inference(avatar_contradiction_clause,[status(thm)],[f1396])).
% 30.35/5.57 thf(f1396,plain,(
% 30.35/5.57 $false | (~spl0_18 | ~spl0_21 | ~spl0_80 | ~spl0_83)),
% 30.35/5.57 inference(trivial_inequality_removal,[status(thm)],[f1394])).
% 30.35/5.57 thf(f1394,plain,(
% 30.35/5.57 ($false != $false) | (~spl0_18 | ~spl0_21 | ~spl0_80 | ~spl0_83)),
% 30.35/5.57 inference(superposition,[status(thm)],[f1136,f211])).
% 30.35/5.57 thf(f1136,plain,(
% 30.35/5.57 ((sK4 @ sK35) != $false) | (~spl0_21 | ~spl0_80 | ~spl0_83)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f1135,f740])).
% 30.35/5.57 thf(f1135,plain,(
% 30.35/5.57 ((sK4 @ sK35) != (sK11 @ sK35)) | (~spl0_21 | ~spl0_80)),
% 30.35/5.57 inference(negative_extensionality,[status(thm)],[f1132])).
% 30.35/5.57 thf(f1132,plain,(
% 30.35/5.57 (sK11 != sK4) | (~spl0_21 | ~spl0_80)),
% 30.35/5.57 inference(trivial_inequality_removal,[status(thm)],[f1125])).
% 30.35/5.57 thf(f1125,plain,(
% 30.35/5.57 (sK11 != sK4) | ($true = $false) | (~spl0_21 | ~spl0_80)),
% 30.35/5.57 inference(constrained_superposition,[status(thm)],[f726,f224])).
% 30.35/5.57 thf(f1347,plain,(
% 30.35/5.57 ~spl0_18 | ~spl0_94),
% 30.35/5.57 inference(avatar_contradiction_clause,[status(thm)],[f1346])).
% 30.35/5.57 thf(f1346,plain,(
% 30.35/5.57 $false | (~spl0_18 | ~spl0_94)),
% 30.35/5.57 inference(trivial_inequality_removal,[status(thm)],[f1344])).
% 30.35/5.57 thf(f1344,plain,(
% 30.35/5.57 ($true = $false) | (~spl0_18 | ~spl0_94)),
% 30.35/5.57 inference(backward_demodulation,[status(thm)],[f1039,f211])).
% 30.35/5.57 thf(f1329,plain,(
% 30.35/5.57 ~spl0_109 | spl0_17 | ~spl0_28 | ~spl0_108),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f1328,f1302,f307,f205,f1323])).
% 30.35/5.57 thf(f1328,plain,(
% 30.35/5.57 ($true != (sK2 @ $false)) | (spl0_17 | ~spl0_28 | ~spl0_108)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f1307,f1318])).
% 30.35/5.57 thf(f1318,plain,(
% 30.35/5.57 ($true = (sK4 @ $false)) | (~spl0_28 | ~spl0_108)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f1304,f309])).
% 30.35/5.57 thf(f1304,plain,(
% 30.35/5.57 ($true = (sK4 @ sK14)) | ~spl0_108),
% 30.35/5.57 inference(avatar_component_clause,[status(thm)],[f1302])).
% 30.35/5.57 thf(f1307,plain,(
% 30.35/5.57 ((sK4 @ $false) != (sK2 @ $false)) | (spl0_17 | ~spl0_28)),
% 30.35/5.57 inference(backward_demodulation,[status(thm)],[f296,f309])).
% 30.35/5.57 thf(f296,plain,(
% 30.35/5.57 ((sK2 @ sK14) != (sK4 @ sK14)) | spl0_17),
% 30.35/5.57 inference(negative_extensionality,[status(thm)],[f207])).
% 30.35/5.57 thf(f207,plain,(
% 30.35/5.57 (sK4 != sK2) | spl0_17),
% 30.35/5.57 inference(avatar_component_clause,[status(thm)],[f205])).
% 30.35/5.57 thf(f1326,plain,(
% 30.35/5.57 spl0_109 | spl0_2 | ~spl0_5),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f289,f110,f97,f1323])).
% 30.35/5.57 thf(f289,plain,(
% 30.35/5.57 ( ! [X1 : $o] : (($true = (sK2 @ $false)) | ((sK2 @ X1) = $false)) ) | ~spl0_5),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f131,f112])).
% 30.35/5.57 thf(f131,plain,(
% 30.35/5.57 ( ! [X1 : $o] : (((sK2 @ X1) = $false) | ($true = (sK2 @ (eps4 @ sK2)))) )),
% 30.35/5.57 introduced(definition,[],[choice_axiom])).
% 30.35/5.57 thf(f1299,plain,(
% 30.35/5.57 spl0_28 | ~spl0_1 | ~spl0_6 | spl0_17 | ~spl0_94),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f1298,f1037,f205,f115,f93,f307])).
% 30.35/5.57 thf(f1298,plain,(
% 30.35/5.57 (sK14 = $false) | (~spl0_1 | ~spl0_6 | spl0_17 | ~spl0_94)),
% 30.35/5.57 inference(subsumption_resolution,[status(thm)],[f1297,f285])).
% 30.35/5.57 thf(f1297,plain,(
% 30.35/5.57 (sK14 = $false) | ($true != (sK2 @ $true)) | (spl0_17 | ~spl0_94)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f1275,f1039])).
% 30.35/5.57 thf(f1275,plain,(
% 30.35/5.57 ((sK2 @ $true) != (sK4 @ $true)) | (sK14 = $false) | spl0_17),
% 30.35/5.57 inference(fool_paramodulation,[status(thm)],[f296])).
% 30.35/5.57 thf(f1287,plain,(
% 30.35/5.57 ~spl0_104 | ~spl0_105 | spl0_17 | ~spl0_94),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f1277,f1037,f205,f1284,f1280])).
% 30.35/5.57 thf(f1277,plain,(
% 30.35/5.57 ($true != (sK2 @ sK14)) | ($true != sK14) | (spl0_17 | ~spl0_94)),
% 30.35/5.57 inference(constrained_superposition,[status(thm)],[f296,f1039])).
% 30.35/5.57 thf(f1226,plain,(
% 30.35/5.57 ~spl0_31 | ~spl0_34 | ~spl0_48 | ~spl0_51),
% 30.35/5.57 inference(avatar_contradiction_clause,[status(thm)],[f1225])).
% 30.35/5.57 thf(f1225,plain,(
% 30.35/5.57 $false | (~spl0_31 | ~spl0_34 | ~spl0_48 | ~spl0_51)),
% 30.35/5.57 inference(subsumption_resolution,[status(thm)],[f1224,f345])).
% 30.35/5.57 thf(f1224,plain,(
% 30.35/5.57 ((sK5 @ sK38) != $false) | (~spl0_31 | ~spl0_48 | ~spl0_51)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f1223,f487])).
% 30.35/5.57 thf(f1223,plain,(
% 30.35/5.57 ((sK5 @ sK38) != (sK7 @ sK38)) | (~spl0_31 | ~spl0_51)),
% 30.35/5.57 inference(negative_extensionality,[status(thm)],[f1222])).
% 30.35/5.57 thf(f1222,plain,(
% 30.35/5.57 (sK5 != sK7) | (~spl0_31 | ~spl0_51)),
% 30.35/5.57 inference(trivial_inequality_removal,[status(thm)],[f1216])).
% 30.35/5.57 thf(f1216,plain,(
% 30.35/5.57 ($true = $false) | (sK5 != sK7) | (~spl0_31 | ~spl0_51)),
% 30.35/5.57 inference(constrained_superposition,[status(thm)],[f501,f333])).
% 30.35/5.57 thf(f1205,plain,(
% 30.35/5.57 ~spl0_71 | ~spl0_76),
% 30.35/5.57 inference(avatar_contradiction_clause,[status(thm)],[f1204])).
% 30.35/5.57 thf(f1204,plain,(
% 30.35/5.57 $false | (~spl0_71 | ~spl0_76)),
% 30.35/5.57 inference(trivial_inequality_removal,[status(thm)],[f1203])).
% 30.35/5.57 thf(f1203,plain,(
% 30.35/5.57 ($true = $false) | (~spl0_71 | ~spl0_76)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f666,f688])).
% 30.35/5.57 thf(f1200,plain,(
% 30.35/5.57 ~spl0_48 | ~spl0_53 | ~spl0_75 | spl0_77),
% 30.35/5.57 inference(avatar_contradiction_clause,[status(thm)],[f1199])).
% 30.35/5.57 thf(f1199,plain,(
% 30.35/5.57 $false | (~spl0_48 | ~spl0_53 | ~spl0_75 | spl0_77)),
% 30.35/5.57 inference(subsumption_resolution,[status(thm)],[f1198,f487])).
% 30.35/5.57 thf(f1198,plain,(
% 30.35/5.57 ((sK7 @ sK37) != $false) | (~spl0_53 | ~spl0_75 | spl0_77)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f1197,f683])).
% 30.35/5.57 thf(f1197,plain,(
% 30.35/5.57 ((sK7 @ sK37) != (sK10 @ sK37)) | (~spl0_53 | spl0_77)),
% 30.35/5.57 inference(negative_extensionality,[status(thm)],[f1193])).
% 30.35/5.57 thf(f1193,plain,(
% 30.35/5.57 (sK10 != sK7) | (~spl0_53 | spl0_77)),
% 30.35/5.57 inference(trivial_inequality_removal,[status(thm)],[f1184])).
% 30.35/5.57 thf(f1184,plain,(
% 30.35/5.57 (sK10 != sK7) | ($false != $false) | (~spl0_53 | spl0_77)),
% 30.35/5.57 inference(constrained_superposition,[status(thm)],[f691,f509])).
% 30.35/5.57 thf(f1030,plain,(
% 30.35/5.57 ~spl0_72 | ~spl0_77),
% 30.35/5.57 inference(avatar_contradiction_clause,[status(thm)],[f1029])).
% 30.35/5.57 thf(f1029,plain,(
% 30.35/5.57 $false | (~spl0_72 | ~spl0_77)),
% 30.35/5.57 inference(trivial_inequality_removal,[status(thm)],[f1028])).
% 30.35/5.57 thf(f1028,plain,(
% 30.35/5.57 ($true = $false) | (~spl0_72 | ~spl0_77)),
% 30.35/5.57 inference(backward_demodulation,[status(thm)],[f670,f692])).
% 30.35/5.57 thf(f1024,plain,(
% 30.35/5.57 spl0_41 | spl0_92 | ~spl0_39),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f1023,f423,f1009,f432])).
% 30.35/5.57 thf(f1023,plain,(
% 30.35/5.57 ( ! [X1 : $o] : (((sK6 @ $false) = $true) | ((sK6 @ X1) = $false)) ) | ~spl0_39),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f815,f425])).
% 30.35/5.57 thf(f815,plain,(
% 30.35/5.57 ( ! [X1 : $o] : (($true = (sK6 @ (eps1 @ sK6))) | ((sK6 @ X1) = $false)) )),
% 30.35/5.57 introduced(definition,[],[choice_axiom])).
% 30.35/5.57 thf(f1012,plain,(
% 30.35/5.57 spl0_92 | spl0_41 | ~spl0_39),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f1007,f423,f432,f1009])).
% 30.35/5.57 thf(f1007,plain,(
% 30.35/5.57 ( ! [X1 : $o] : (((sK6 @ X1) = $false) | ((sK6 @ $false) = $true)) ) | ~spl0_39),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f795,f425])).
% 30.35/5.57 thf(f795,plain,(
% 30.35/5.57 ( ! [X1 : $o] : (($true = (sK6 @ (eps1 @ sK6))) | ((sK6 @ X1) = $false)) )),
% 30.35/5.57 introduced(definition,[],[choice_axiom])).
% 30.35/5.57 thf(f1006,plain,(
% 30.35/5.57 ~spl0_15 | ~spl0_18 | ~spl0_75 | ~spl0_76),
% 30.35/5.57 inference(avatar_contradiction_clause,[status(thm)],[f1005])).
% 30.35/5.57 thf(f1005,plain,(
% 30.35/5.57 $false | (~spl0_15 | ~spl0_18 | ~spl0_75 | ~spl0_76)),
% 30.35/5.57 inference(subsumption_resolution,[status(thm)],[f1004,f683])).
% 30.35/5.57 thf(f1004,plain,(
% 30.35/5.57 ((sK10 @ sK30) != $false) | (~spl0_15 | ~spl0_18 | ~spl0_76)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f1003,f211])).
% 30.35/5.57 thf(f1003,plain,(
% 30.35/5.57 ((sK10 @ sK30) != (sK4 @ sK30)) | (~spl0_15 | ~spl0_76)),
% 30.35/5.57 inference(negative_extensionality,[status(thm)],[f972])).
% 30.35/5.57 thf(f972,plain,(
% 30.35/5.57 (sK4 != sK10) | (~spl0_15 | ~spl0_76)),
% 30.35/5.57 inference(trivial_inequality_removal,[status(thm)],[f957])).
% 30.35/5.57 thf(f957,plain,(
% 30.35/5.57 (sK4 != sK10) | ($true = $false) | (~spl0_15 | ~spl0_76)),
% 30.35/5.57 inference(constrained_superposition,[status(thm)],[f688,f198])).
% 30.35/5.57 thf(f996,plain,(
% 30.35/5.57 spl0_68 | spl0_91 | ~spl0_64),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f991,f605,f993,f625])).
% 30.35/5.57 thf(f991,plain,(
% 30.35/5.57 ( ! [X1 : $o] : (($true = (sK9 @ $false)) | ((sK9 @ X1) = $false)) ) | ~spl0_64),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f920,f607])).
% 30.35/5.57 thf(f920,plain,(
% 30.35/5.57 ( ! [X1 : $o] : (($true = (sK9 @ (eps5 @ sK9))) | ((sK9 @ X1) = $false)) )),
% 30.35/5.57 introduced(definition,[],[choice_axiom])).
% 30.35/5.57 thf(f983,plain,(
% 30.35/5.57 ~spl0_63 | ~spl0_68 | ~spl0_75 | ~spl0_76),
% 30.35/5.57 inference(avatar_contradiction_clause,[status(thm)],[f982])).
% 30.35/5.57 thf(f982,plain,(
% 30.35/5.57 $false | (~spl0_63 | ~spl0_68 | ~spl0_75 | ~spl0_76)),
% 30.35/5.57 inference(subsumption_resolution,[status(thm)],[f981,f683])).
% 30.35/5.57 thf(f981,plain,(
% 30.35/5.57 ((sK10 @ sK29) != $false) | (~spl0_63 | ~spl0_68 | ~spl0_76)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f980,f626])).
% 30.35/5.57 thf(f980,plain,(
% 30.35/5.57 ((sK10 @ sK29) != (sK9 @ sK29)) | (~spl0_63 | ~spl0_76)),
% 30.35/5.57 inference(negative_extensionality,[status(thm)],[f971])).
% 30.35/5.57 thf(f971,plain,(
% 30.35/5.57 (sK9 != sK10) | (~spl0_63 | ~spl0_76)),
% 30.35/5.57 inference(trivial_inequality_removal,[status(thm)],[f956])).
% 30.35/5.57 thf(f956,plain,(
% 30.35/5.57 (sK9 != sK10) | ($true = $false) | (~spl0_63 | ~spl0_76)),
% 30.35/5.57 inference(constrained_superposition,[status(thm)],[f688,f602])).
% 30.35/5.57 thf(f947,plain,(
% 30.35/5.57 ~spl0_41 | ~spl0_44 | ~spl0_75 | ~spl0_77),
% 30.35/5.57 inference(avatar_contradiction_clause,[status(thm)],[f946])).
% 30.35/5.57 thf(f946,plain,(
% 30.35/5.57 $false | (~spl0_41 | ~spl0_44 | ~spl0_75 | ~spl0_77)),
% 30.35/5.57 inference(subsumption_resolution,[status(thm)],[f945,f683])).
% 30.35/5.57 thf(f945,plain,(
% 30.35/5.57 ((sK10 @ sK27) != $false) | (~spl0_41 | ~spl0_44 | ~spl0_77)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f944,f433])).
% 30.35/5.57 thf(f944,plain,(
% 30.35/5.57 ((sK10 @ sK27) != (sK6 @ sK27)) | (~spl0_44 | ~spl0_77)),
% 30.35/5.57 inference(negative_extensionality,[status(thm)],[f940])).
% 30.35/5.57 thf(f940,plain,(
% 30.35/5.57 (sK10 != sK6) | (~spl0_44 | ~spl0_77)),
% 30.35/5.57 inference(trivial_inequality_removal,[status(thm)],[f928])).
% 30.35/5.57 thf(f928,plain,(
% 30.35/5.57 ($true = $false) | (sK10 != sK6) | (~spl0_44 | ~spl0_77)),
% 30.35/5.57 inference(constrained_superposition,[status(thm)],[f692,f448])).
% 30.35/5.57 thf(f856,plain,(
% 30.35/5.57 spl0_87 | spl0_59 | ~spl0_55),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f851,f543,f562,f853])).
% 30.35/5.57 thf(f851,plain,(
% 30.35/5.57 ( ! [X1 : $o] : (($true = (sK8 @ $false)) | ((sK8 @ X1) = $false)) ) | ~spl0_55),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f834,f545])).
% 30.35/5.57 thf(f834,plain,(
% 30.35/5.57 ( ! [X1 : $o] : (($true = (sK8 @ (eps4 @ sK8))) | ((sK8 @ X1) = $false)) )),
% 30.35/5.57 introduced(definition,[],[choice_axiom])).
% 30.35/5.57 thf(f849,plain,(
% 30.35/5.57 ~spl0_31 | ~spl0_34 | ~spl0_55 | ~spl0_59),
% 30.35/5.57 inference(avatar_contradiction_clause,[status(thm)],[f848])).
% 30.35/5.57 thf(f848,plain,(
% 30.35/5.57 $false | (~spl0_31 | ~spl0_34 | ~spl0_55 | ~spl0_59)),
% 30.35/5.57 inference(subsumption_resolution,[status(thm)],[f847,f563])).
% 30.35/5.57 thf(f847,plain,(
% 30.35/5.57 ((sK8 @ sK23) != $false) | (~spl0_31 | ~spl0_34 | ~spl0_55)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f846,f345])).
% 30.35/5.57 thf(f846,plain,(
% 30.35/5.57 ((sK8 @ sK23) != (sK5 @ sK23)) | (~spl0_31 | ~spl0_55)),
% 30.35/5.57 inference(negative_extensionality,[status(thm)],[f844])).
% 30.35/5.57 thf(f844,plain,(
% 30.35/5.57 (sK8 != sK5) | (~spl0_31 | ~spl0_55)),
% 30.35/5.57 inference(trivial_inequality_removal,[status(thm)],[f839])).
% 30.35/5.57 thf(f839,plain,(
% 30.35/5.57 (sK8 != sK5) | ($true = $false) | (~spl0_31 | ~spl0_55)),
% 30.35/5.57 inference(constrained_superposition,[status(thm)],[f333,f545])).
% 30.35/5.57 thf(f808,plain,(
% 30.35/5.57 ~spl0_38 | ~spl0_44),
% 30.35/5.57 inference(avatar_contradiction_clause,[status(thm)],[f807])).
% 30.35/5.57 thf(f807,plain,(
% 30.35/5.57 $false | (~spl0_38 | ~spl0_44)),
% 30.35/5.57 inference(trivial_inequality_removal,[status(thm)],[f806])).
% 30.35/5.57 thf(f806,plain,(
% 30.35/5.57 ($true = $false) | (~spl0_38 | ~spl0_44)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f448,f421])).
% 30.35/5.57 thf(f803,plain,(
% 30.35/5.57 ~spl0_18 | ~spl0_21 | ~spl0_41 | ~spl0_42),
% 30.35/5.57 inference(avatar_contradiction_clause,[status(thm)],[f802])).
% 30.35/5.57 thf(f802,plain,(
% 30.35/5.57 $false | (~spl0_18 | ~spl0_21 | ~spl0_41 | ~spl0_42)),
% 30.35/5.57 inference(subsumption_resolution,[status(thm)],[f801,f211])).
% 30.35/5.57 thf(f801,plain,(
% 30.35/5.57 ((sK4 @ sK22) != $false) | (~spl0_21 | ~spl0_41 | ~spl0_42)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f800,f433])).
% 30.35/5.57 thf(f800,plain,(
% 30.35/5.57 ((sK4 @ sK22) != (sK6 @ sK22)) | (~spl0_21 | ~spl0_42)),
% 30.35/5.57 inference(negative_extensionality,[status(thm)],[f799])).
% 30.35/5.57 thf(f799,plain,(
% 30.35/5.57 (sK4 != sK6) | (~spl0_21 | ~spl0_42)),
% 30.35/5.57 inference(trivial_inequality_removal,[status(thm)],[f797])).
% 30.35/5.57 thf(f797,plain,(
% 30.35/5.57 (sK4 != sK6) | ($true = $false) | (~spl0_21 | ~spl0_42)),
% 30.35/5.57 inference(constrained_superposition,[status(thm)],[f224,f437])).
% 30.35/5.57 thf(f746,plain,(
% 30.35/5.57 spl0_84 | spl0_79),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f715,f721,f743])).
% 30.35/5.57 thf(f715,plain,(
% 30.35/5.57 ((eps1 @ sK11) = $false) | ((eps5 @ sK11) = $false)),
% 30.35/5.57 inference(binary_proxy_clausification,[status(thm)],[f86])).
% 30.35/5.57 thf(f733,plain,(
% 30.35/5.57 spl0_80 | spl0_81),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f714,f730,f725])).
% 30.35/5.57 thf(f714,plain,(
% 30.35/5.57 ((eps1 @ sK11) = $true) | ((eps5 @ sK11) = $true)),
% 30.35/5.57 inference(binary_proxy_clausification,[status(thm)],[f86])).
% 30.35/5.57 thf(f728,plain,(
% 30.35/5.57 spl0_79 | ~spl0_80),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f716,f725,f721])).
% 30.35/5.57 thf(f716,plain,(
% 30.35/5.57 ((eps5 @ sK11) = $false) | ((eps1 @ sK11) != $true)),
% 30.35/5.57 inference(fool_paramodulation,[status(thm)],[f86])).
% 30.35/5.57 thf(f694,plain,(
% 30.35/5.57 spl0_77 | ~spl0_71),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f659,f664,f690])).
% 30.35/5.57 thf(f659,plain,(
% 30.35/5.57 ((eps3 @ sK10) = $false) | ($true != (eps2 @ sK10))),
% 30.35/5.57 inference(fool_paramodulation,[status(thm)],[f85])).
% 30.35/5.57 thf(f693,plain,(
% 30.35/5.57 spl0_76 | spl0_77),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f658,f690,f686])).
% 30.35/5.57 thf(f658,plain,(
% 30.35/5.57 ((eps2 @ sK10) = $false) | ((eps3 @ sK10) = $false)),
% 30.35/5.57 inference(binary_proxy_clausification,[status(thm)],[f85])).
% 30.35/5.57 thf(f676,plain,(
% 30.35/5.57 ~spl0_73 | ~spl0_71 | ~spl0_9),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f662,f146,f664,f673])).
% 30.35/5.57 thf(f662,plain,(
% 30.35/5.57 ($true != (eps2 @ sK10)) | (sK10 != sK3) | ~spl0_9),
% 30.35/5.57 inference(constrained_superposition,[status(thm)],[f85,f148])).
% 30.35/5.57 thf(f671,plain,(
% 30.35/5.57 spl0_71 | spl0_72),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f657,f668,f664])).
% 30.35/5.57 thf(f657,plain,(
% 30.35/5.57 ((eps3 @ sK10) = $true) | ($true = (eps2 @ sK10))),
% 30.35/5.57 inference(binary_proxy_clausification,[status(thm)],[f85])).
% 30.35/5.57 thf(f641,plain,(
% 30.35/5.57 ~spl0_64 | ~spl0_67),
% 30.35/5.57 inference(avatar_contradiction_clause,[status(thm)],[f640])).
% 30.35/5.57 thf(f640,plain,(
% 30.35/5.57 $false | (~spl0_64 | ~spl0_67)),
% 30.35/5.57 inference(trivial_inequality_removal,[status(thm)],[f639])).
% 30.35/5.57 thf(f639,plain,(
% 30.35/5.57 ($true = $false) | (~spl0_64 | ~spl0_67)),
% 30.35/5.57 inference(backward_demodulation,[status(thm)],[f622,f607])).
% 30.35/5.57 thf(f623,plain,(
% 30.35/5.57 spl0_63 | spl0_67),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f594,f620,f601])).
% 30.35/5.57 thf(f594,plain,(
% 30.35/5.57 ($true = (eps2 @ sK9)) | ($true = (eps5 @ sK9))),
% 30.35/5.57 inference(binary_proxy_clausification,[status(thm)],[f84])).
% 30.35/5.57 thf(f618,plain,(
% 30.35/5.57 ~spl0_66 | ~spl0_65 | ~spl0_13),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f599,f164,f610,f615])).
% 30.35/5.57 thf(f599,plain,(
% 30.35/5.57 ($false != (eps2 @ sK9)) | (sK9 != sK3) | ~spl0_13),
% 30.35/5.57 inference(constrained_superposition,[status(thm)],[f84,f166])).
% 30.35/5.57 thf(f613,plain,(
% 30.35/5.57 spl0_64 | spl0_65),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f595,f610,f605])).
% 30.35/5.57 thf(f595,plain,(
% 30.35/5.57 ((eps5 @ sK9) = $false) | ($false = (eps2 @ sK9))),
% 30.35/5.57 inference(binary_proxy_clausification,[status(thm)],[f84])).
% 30.35/5.57 thf(f608,plain,(
% 30.35/5.57 ~spl0_63 | spl0_64),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f596,f605,f601])).
% 30.35/5.57 thf(f596,plain,(
% 30.35/5.57 ($true != (eps2 @ sK9)) | ((eps5 @ sK9) = $false)),
% 30.35/5.57 inference(fool_paramodulation,[status(thm)],[f84])).
% 30.35/5.57 thf(f573,plain,(
% 30.35/5.57 ~spl0_56 | ~spl0_61 | ~spl0_5),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f541,f110,f570,f547])).
% 30.35/5.57 thf(f541,plain,(
% 30.35/5.57 ((eps1 @ sK8) != $false) | (sK8 != sK2) | ~spl0_5),
% 30.35/5.57 inference(constrained_superposition,[status(thm)],[f83,f112])).
% 30.35/5.57 thf(f560,plain,(
% 30.35/5.57 spl0_58 | spl0_57),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f536,f552,f557])).
% 30.35/5.57 thf(f536,plain,(
% 30.35/5.57 ($true = (eps4 @ sK8)) | ($true = (eps1 @ sK8))),
% 30.35/5.57 inference(binary_proxy_clausification,[status(thm)],[f83])).
% 30.35/5.57 thf(f555,plain,(
% 30.35/5.57 ~spl0_57 | spl0_55),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f538,f543,f552])).
% 30.35/5.57 thf(f538,plain,(
% 30.35/5.57 ($true != (eps1 @ sK8)) | ((eps4 @ sK8) = $false)),
% 30.35/5.57 inference(fool_paramodulation,[status(thm)],[f83])).
% 30.35/5.57 thf(f550,plain,(
% 30.35/5.57 spl0_55 | spl0_56),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f537,f547,f543])).
% 30.35/5.57 thf(f537,plain,(
% 30.35/5.57 ((eps4 @ sK8) = $false) | ((eps1 @ sK8) = $false)),
% 30.35/5.57 inference(binary_proxy_clausification,[status(thm)],[f83])).
% 30.35/5.57 thf(f522,plain,(
% 30.35/5.57 ~spl0_51 | ~spl0_54),
% 30.35/5.57 inference(avatar_contradiction_clause,[status(thm)],[f521])).
% 30.35/5.57 thf(f521,plain,(
% 30.35/5.57 $false | (~spl0_51 | ~spl0_54)),
% 30.35/5.57 inference(trivial_inequality_removal,[status(thm)],[f520])).
% 30.35/5.57 thf(f520,plain,(
% 30.35/5.57 ($true = $false) | (~spl0_51 | ~spl0_54)),
% 30.35/5.57 inference(backward_demodulation,[status(thm)],[f515,f501])).
% 30.35/5.57 thf(f517,plain,(
% 30.35/5.57 spl0_53 | spl0_51),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f476,f499,f508])).
% 30.35/5.57 thf(f476,plain,(
% 30.35/5.57 ((eps3 @ sK7) = $false) | ((eps4 @ sK7) = $false)),
% 30.35/5.57 inference(binary_proxy_clausification,[status(thm)],[f82])).
% 30.35/5.57 thf(f516,plain,(
% 30.35/5.57 spl0_54 | spl0_50),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f475,f495,f513])).
% 30.35/5.57 thf(f475,plain,(
% 30.35/5.57 ($true = (eps3 @ sK7)) | ((eps4 @ sK7) = $true)),
% 30.35/5.57 inference(binary_proxy_clausification,[status(thm)],[f82])).
% 30.35/5.57 thf(f511,plain,(
% 30.35/5.57 ~spl0_52 | ~spl0_53 | ~spl0_5),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f480,f110,f508,f504])).
% 30.35/5.57 thf(f480,plain,(
% 30.35/5.57 ((eps3 @ sK7) != $false) | (sK2 != sK7) | ~spl0_5),
% 30.35/5.57 inference(constrained_superposition,[status(thm)],[f82,f112])).
% 30.35/5.57 thf(f502,plain,(
% 30.35/5.57 ~spl0_50 | spl0_51),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f477,f499,f495])).
% 30.35/5.57 thf(f477,plain,(
% 30.35/5.57 ($true != (eps3 @ sK7)) | ((eps4 @ sK7) = $false)),
% 30.35/5.57 inference(fool_paramodulation,[status(thm)],[f82])).
% 30.35/5.57 thf(f449,plain,(
% 30.35/5.57 spl0_42 | spl0_44),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f413,f446,f436])).
% 30.35/5.57 thf(f413,plain,(
% 30.35/5.57 ($true = (eps1 @ sK6)) | ($true = (eps3 @ sK6))),
% 30.35/5.57 inference(binary_proxy_clausification,[status(thm)],[f81])).
% 30.35/5.57 thf(f439,plain,(
% 30.35/5.57 ~spl0_42 | spl0_38),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f415,f419,f436])).
% 30.35/5.57 thf(f415,plain,(
% 30.35/5.57 ($true != (eps1 @ sK6)) | ((eps3 @ sK6) = $false)),
% 30.35/5.57 inference(fool_paramodulation,[status(thm)],[f81])).
% 30.35/5.57 thf(f426,plain,(
% 30.35/5.57 spl0_38 | spl0_39),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f414,f423,f419])).
% 30.35/5.57 thf(f414,plain,(
% 30.35/5.57 ((eps3 @ sK6) = $false) | ($false = (eps1 @ sK6))),
% 30.35/5.57 inference(binary_proxy_clausification,[status(thm)],[f81])).
% 30.35/5.57 thf(f408,plain,(
% 30.35/5.57 spl0_10 | spl0_37 | ~spl0_13),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f407,f164,f373,f151])).
% 30.35/5.57 thf(f407,plain,(
% 30.35/5.57 ( ! [X1 : $o] : (((sK3 @ X1) = $false) | ((sK3 @ $false) = $true)) ) | ~spl0_13),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f184,f166])).
% 30.35/5.57 thf(f184,plain,(
% 30.35/5.57 ( ! [X1 : $o] : (((sK3 @ X1) = $false) | ($true = (sK3 @ (eps5 @ sK3)))) )),
% 30.35/5.57 introduced(definition,[],[choice_axiom])).
% 30.35/5.57 thf(f404,plain,(
% 30.35/5.57 spl0_37 | ~spl0_11 | ~spl0_13),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f403,f164,f154,f373])).
% 30.35/5.57 thf(f403,plain,(
% 30.35/5.57 ((sK3 @ $false) = $true) | (~spl0_11 | ~spl0_13)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f156,f166])).
% 30.35/5.57 thf(f394,plain,(
% 30.35/5.57 ~spl0_32 | ~spl0_35),
% 30.35/5.57 inference(avatar_contradiction_clause,[status(thm)],[f393])).
% 30.35/5.57 thf(f393,plain,(
% 30.35/5.57 $false | (~spl0_32 | ~spl0_35)),
% 30.35/5.57 inference(trivial_inequality_removal,[status(thm)],[f392])).
% 30.35/5.57 thf(f392,plain,(
% 30.35/5.57 ($true = $false) | (~spl0_32 | ~spl0_35)),
% 30.35/5.57 inference(backward_demodulation,[status(thm)],[f337,f350])).
% 30.35/5.57 thf(f391,plain,(
% 30.35/5.57 ~spl0_10 | ~spl0_12),
% 30.35/5.57 inference(avatar_contradiction_clause,[status(thm)],[f390])).
% 30.35/5.57 thf(f390,plain,(
% 30.35/5.57 $false | (~spl0_10 | ~spl0_12)),
% 30.35/5.57 inference(trivial_inequality_removal,[status(thm)],[f388])).
% 30.35/5.57 thf(f388,plain,(
% 30.35/5.57 ($true = $false) | (~spl0_10 | ~spl0_12)),
% 30.35/5.57 inference(backward_demodulation,[status(thm)],[f161,f152])).
% 30.35/5.57 thf(f382,plain,(
% 30.35/5.57 ~spl0_13 | ~spl0_14),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f381,f169,f164])).
% 30.35/5.57 thf(f381,plain,(
% 30.35/5.57 ($false != (eps5 @ sK3)) | ~spl0_14),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f78,f171])).
% 30.35/5.57 thf(f380,plain,(
% 30.35/5.57 spl0_10 | spl0_12),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f182,f159,f151])).
% 30.35/5.57 thf(f182,plain,(
% 30.35/5.57 ( ! [X1 : $o] : (((sK3 @ X1) = $false) | ($true = (sK3 @ (eps3 @ sK3)))) )),
% 30.35/5.57 introduced(definition,[],[choice_axiom])).
% 30.35/5.57 thf(f366,plain,(
% 30.35/5.57 ~spl0_10 | spl0_30 | ~spl0_34),
% 30.35/5.57 inference(avatar_contradiction_clause,[status(thm)],[f365])).
% 30.35/5.57 thf(f365,plain,(
% 30.35/5.57 $false | (~spl0_10 | spl0_30 | ~spl0_34)),
% 30.35/5.57 inference(subsumption_resolution,[status(thm)],[f364,f345])).
% 30.35/5.57 thf(f364,plain,(
% 30.35/5.57 ((sK5 @ sK15) != $false) | (~spl0_10 | spl0_30)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f363,f152])).
% 30.35/5.57 thf(f363,plain,(
% 30.35/5.57 ((sK5 @ sK15) != (sK3 @ sK15)) | spl0_30),
% 30.35/5.57 inference(negative_extensionality,[status(thm)],[f328])).
% 30.35/5.57 thf(f352,plain,(
% 30.35/5.57 ~spl0_31 | spl0_35),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f317,f348,f331])).
% 30.35/5.57 thf(f317,plain,(
% 30.35/5.57 ((eps4 @ sK5) != $true) | ((eps5 @ sK5) = $false)),
% 30.35/5.57 inference(fool_paramodulation,[status(thm)],[f80])).
% 30.35/5.57 thf(f351,plain,(
% 30.35/5.57 spl0_29 | spl0_35),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f316,f348,f322])).
% 30.35/5.57 thf(f316,plain,(
% 30.35/5.57 ((eps4 @ sK5) = $false) | ((eps5 @ sK5) = $false)),
% 30.35/5.57 inference(binary_proxy_clausification,[status(thm)],[f80])).
% 30.35/5.57 thf(f338,plain,(
% 30.35/5.57 spl0_31 | spl0_32),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f315,f335,f331])).
% 30.35/5.57 thf(f315,plain,(
% 30.35/5.57 ($true = (eps5 @ sK5)) | ((eps4 @ sK5) = $true)),
% 30.35/5.57 inference(binary_proxy_clausification,[status(thm)],[f80])).
% 30.35/5.57 thf(f329,plain,(
% 30.35/5.57 ~spl0_29 | ~spl0_30 | ~spl0_13),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f320,f164,f326,f322])).
% 30.35/5.57 thf(f320,plain,(
% 30.35/5.57 (sK3 != sK5) | ((eps4 @ sK5) != $false) | ~spl0_13),
% 30.35/5.57 inference(constrained_superposition,[status(thm)],[f80,f166])).
% 30.35/5.57 thf(f288,plain,(
% 30.35/5.57 spl0_2 | ~spl0_17 | ~spl0_18),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f277,f210,f205,f97])).
% 30.35/5.57 thf(f277,plain,(
% 30.35/5.57 ( ! [X1 : $o] : (((sK2 @ X1) = $false)) ) | (~spl0_17 | ~spl0_18)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f251,f211])).
% 30.35/5.57 thf(f251,plain,(
% 30.35/5.57 ( ! [X1 : $o] : (((sK2 @ X1) = (sK4 @ X1))) ) | ~spl0_17),
% 30.35/5.57 inference(argument_congruence,[status(thm)],[f206])).
% 30.35/5.57 thf(f283,plain,(
% 30.35/5.57 ~spl0_2 | ~spl0_10 | spl0_23),
% 30.35/5.57 inference(avatar_contradiction_clause,[status(thm)],[f282])).
% 30.35/5.57 thf(f282,plain,(
% 30.35/5.57 $false | (~spl0_2 | ~spl0_10 | spl0_23)),
% 30.35/5.57 inference(subsumption_resolution,[status(thm)],[f281,f152])).
% 30.35/5.57 thf(f281,plain,(
% 30.35/5.57 ((sK3 @ sK13) != $false) | (~spl0_2 | spl0_23)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f278,f98])).
% 30.35/5.57 thf(f278,plain,(
% 30.35/5.57 ((sK3 @ sK13) != (sK2 @ sK13)) | spl0_23),
% 30.35/5.57 inference(negative_extensionality,[status(thm)],[f259])).
% 30.35/5.57 thf(f270,plain,(
% 30.35/5.57 ~spl0_23 | spl0_25 | ~spl0_13 | ~spl0_17),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f265,f205,f164,f267,f257])).
% 30.35/5.57 thf(f265,plain,(
% 30.35/5.57 (sK3 != sK2) | ((eps5 @ sK2) = $false) | (~spl0_13 | ~spl0_17)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f253,f206])).
% 30.35/5.57 thf(f253,plain,(
% 30.35/5.57 ((eps5 @ sK2) = $false) | (sK4 != sK3) | (~spl0_13 | ~spl0_17)),
% 30.35/5.57 inference(constrained_superposition,[status(thm)],[f166,f206])).
% 30.35/5.57 thf(f244,plain,(
% 30.35/5.57 ~spl0_2 | spl0_17 | ~spl0_18),
% 30.35/5.57 inference(avatar_contradiction_clause,[status(thm)],[f243])).
% 30.35/5.57 thf(f243,plain,(
% 30.35/5.57 $false | (~spl0_2 | spl0_17 | ~spl0_18)),
% 30.35/5.57 inference(subsumption_resolution,[status(thm)],[f242,f98])).
% 30.35/5.57 thf(f242,plain,(
% 30.35/5.57 ((sK2 @ sK12) != $false) | (spl0_17 | ~spl0_18)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f241,f211])).
% 30.35/5.57 thf(f241,plain,(
% 30.35/5.57 ((sK2 @ sK12) != (sK4 @ sK12)) | spl0_17),
% 30.35/5.57 inference(negative_extensionality,[status(thm)],[f207])).
% 30.35/5.57 thf(f235,plain,(
% 30.35/5.57 ~spl0_15 | ~spl0_20),
% 30.35/5.57 inference(avatar_contradiction_clause,[status(thm)],[f234])).
% 30.35/5.57 thf(f234,plain,(
% 30.35/5.57 $false | (~spl0_15 | ~spl0_20)),
% 30.35/5.57 inference(trivial_inequality_removal,[status(thm)],[f233])).
% 30.35/5.57 thf(f233,plain,(
% 30.35/5.57 ($true = $false) | (~spl0_15 | ~spl0_20)),
% 30.35/5.57 inference(backward_demodulation,[status(thm)],[f198,f220])).
% 30.35/5.57 thf(f231,plain,(
% 30.35/5.57 spl0_20 | ~spl0_16),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f191,f200,f218])).
% 30.35/5.57 thf(f191,plain,(
% 30.35/5.57 ((eps2 @ sK4) = $false) | ($true != (eps1 @ sK4))),
% 30.35/5.57 inference(fool_paramodulation,[status(thm)],[f79])).
% 30.35/5.57 thf(f225,plain,(
% 30.35/5.57 spl0_20 | spl0_21),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f190,f222,f218])).
% 30.35/5.57 thf(f190,plain,(
% 30.35/5.57 ((eps2 @ sK4) = $false) | ((eps1 @ sK4) = $false)),
% 30.35/5.57 inference(binary_proxy_clausification,[status(thm)],[f79])).
% 30.35/5.57 thf(f208,plain,(
% 30.35/5.57 ~spl0_16 | ~spl0_17 | ~spl0_6),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f194,f115,f205,f200])).
% 30.35/5.57 thf(f194,plain,(
% 30.35/5.57 (sK4 != sK2) | ($true != (eps1 @ sK4)) | ~spl0_6),
% 30.35/5.57 inference(constrained_superposition,[status(thm)],[f79,f117])).
% 30.35/5.57 thf(f203,plain,(
% 30.35/5.57 spl0_15 | spl0_16),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f189,f200,f196])).
% 30.35/5.57 thf(f189,plain,(
% 30.35/5.57 ($true = (eps2 @ sK4)) | ($true = (eps1 @ sK4))),
% 30.35/5.57 inference(binary_proxy_clausification,[status(thm)],[f79])).
% 30.35/5.57 thf(f177,plain,(
% 30.35/5.57 ~spl0_8 | ~spl0_13),
% 30.35/5.57 inference(avatar_contradiction_clause,[status(thm)],[f176])).
% 30.35/5.57 thf(f176,plain,(
% 30.35/5.57 $false | (~spl0_8 | ~spl0_13)),
% 30.35/5.57 inference(trivial_inequality_removal,[status(thm)],[f175])).
% 30.35/5.57 thf(f175,plain,(
% 30.35/5.57 ($true = $false) | (~spl0_8 | ~spl0_13)),
% 30.35/5.57 inference(forward_demodulation,[status(thm)],[f144,f166])).
% 30.35/5.57 thf(f172,plain,(
% 30.35/5.57 spl0_14 | spl0_13),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f137,f164,f169])).
% 30.35/5.57 thf(f137,plain,(
% 30.35/5.57 ($false = (eps5 @ sK3)) | ((eps3 @ sK3) = $false)),
% 30.35/5.57 inference(binary_proxy_clausification,[status(thm)],[f78])).
% 30.35/5.57 thf(f167,plain,(
% 30.35/5.57 ~spl0_9 | spl0_13),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f138,f164,f146])).
% 30.35/5.57 thf(f138,plain,(
% 30.35/5.57 ($true != (eps3 @ sK3)) | ($false = (eps5 @ sK3))),
% 30.35/5.57 inference(fool_paramodulation,[status(thm)],[f78])).
% 30.35/5.57 thf(f157,plain,(
% 30.35/5.57 spl0_10 | spl0_11),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f140,f154,f151])).
% 30.35/5.57 thf(f140,plain,(
% 30.35/5.57 ( ! [X1 : $o] : (((sK3 @ X1) = $false) | ($true = (sK3 @ (eps5 @ sK3)))) )),
% 30.35/5.57 introduced(definition,[],[choice_axiom])).
% 30.35/5.57 thf(f149,plain,(
% 30.35/5.57 spl0_8 | spl0_9),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f136,f146,f142])).
% 30.35/5.57 thf(f136,plain,(
% 30.35/5.57 ($true = (eps3 @ sK3)) | ($true = (eps5 @ sK3))),
% 30.35/5.57 inference(binary_proxy_clausification,[status(thm)],[f78])).
% 30.35/5.57 thf(f123,plain,(
% 30.35/5.57 spl0_5 | ~spl0_6),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f89,f115,f110])).
% 30.35/5.57 thf(f89,plain,(
% 30.35/5.57 ((eps4 @ sK2) = $false) | ((eps2 @ sK2) != $true)),
% 30.35/5.57 inference(fool_paramodulation,[status(thm)],[f77])).
% 30.35/5.57 thf(f122,plain,(
% 30.35/5.57 spl0_6 | spl0_7),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f87,f119,f115])).
% 30.35/5.57 thf(f87,plain,(
% 30.35/5.57 ((eps2 @ sK2) = $true) | ($true = (eps4 @ sK2))),
% 30.35/5.57 inference(binary_proxy_clausification,[status(thm)],[f77])).
% 30.35/5.57 thf(f113,plain,(
% 30.35/5.57 spl0_4 | spl0_5),
% 30.35/5.57 inference(avatar_split_clause,[status(thm)],[f88,f110,f106])).
% 30.35/5.57 thf(f88,plain,(
% 30.35/5.57 ((eps4 @ sK2) = $false) | ((eps2 @ sK2) = $false)),
% 30.35/5.57 inference(binary_proxy_clausification,[status(thm)],[f77])).
% 30.35/5.57 % SZS output end Proof for DTF2THF_5231
% 30.35/5.57 % (5843)------------------------------
% 30.35/5.57 % (5843)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.35/5.57 % (5843)Termination reason: Refutation
% 30.35/5.57
% 30.35/5.57 % (5843)Memory used [KB]: 11257
% 30.35/5.57 % (5843)Time elapsed: 0.658 s
% 30.35/5.57 % (5843)Instructions burned: 1832 (million)
% 30.35/5.57 % (5843)------------------------------
% 30.35/5.57 % (5843)------------------------------
% 30.35/5.57 % (5391)Success in time 4.276 s
%------------------------------------------------------------------------------