TSTP Solution File: SYN076+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYN076+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n004.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 : Fri Sep 1 03:37:31 EDT 2023
% Result : Theorem 174.98s 25.38s
% Output : Refutation 174.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 141
% Syntax : Number of formulae : 1824 ( 3 unt; 0 def)
% Number of atoms : 9977 (1865 equ)
% Maximal formula atoms : 17 ( 5 avg)
% Number of connectives : 13607 (5454 ~;7932 |; 57 &)
% ( 153 <=>; 9 =>; 0 <=; 2 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 133 ( 131 usr; 129 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 1141 (;1093 !; 48 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f357216,plain,
$false,
inference(avatar_sat_refutation,[],[f64,f68,f73,f77,f84,f88,f93,f97,f98,f99,f113,f129,f338,f345,f386,f407,f431,f435,f858,f1042,f1058,f1059,f1113,f1669,f1686,f1770,f1812,f1825,f1829,f2291,f2652,f2725,f3726,f4683,f8566,f8637,f8647,f8714,f8986,f9078,f9084,f9271,f9274,f9422,f9949,f9953,f12188,f12220,f12420,f12446,f12509,f13966,f14209,f14414,f14534,f14559,f14590,f14610,f15674,f15785,f17803,f18695,f18718,f18722,f21183,f21187,f21609,f21770,f22258,f23113,f26657,f26772,f26972,f27006,f27038,f27045,f27135,f27139,f27163,f27211,f27718,f27730,f27736,f27742,f27743,f37878,f38619,f39190,f39906,f41031,f43525,f44438,f71652,f72309,f72452,f73384,f73391,f73753,f73754,f86211,f86720,f86750,f88347,f89348,f111650,f111657,f111830,f118332,f119548,f124440,f130810,f130848,f130896,f130904,f131942,f133605,f136133,f136139,f137358,f139627,f139630,f139717,f140061,f140062,f140071,f140080,f140082,f140447,f140449,f140501,f140560,f140561,f140577,f140579,f140580,f140988,f141056,f141219,f145259,f145279,f145283,f145286,f145297,f145452,f145464,f145544,f159692,f164258,f164911,f165248,f165381,f165419,f165474,f165491,f165493,f168263,f168268,f168297,f171514,f171515,f171516,f172069,f172196,f172755,f175966,f177961,f181053,f181365,f181411,f185860,f186247,f187573,f187590,f187622,f187630,f187761,f188850,f188988,f189324,f189348,f189390,f191928,f191973,f192029,f195285,f195820,f195891,f196223,f198130,f200668,f202757,f204947,f205539,f205543,f205571,f205573,f210501,f211203,f211243,f211615,f211621,f211658,f211712,f214490,f214695,f218440,f218758,f218841,f219148,f221178,f221180,f223440,f238888,f252148,f259651,f261008,f265645,f267370,f272523,f273242,f278063,f279650,f279993,f279995,f280202,f281005,f286105,f301447,f302055,f302469,f303067,f303412,f303452,f303455,f310983,f313662,f318516,f318595,f319166,f319426,f320334,f323410,f325062,f325370,f325996,f327621,f329064,f329066,f334824,f348405,f348946,f349220,f349230,f350508,f351557,f352628,f353813,f355477,f355798,f355968,f356461,f357213]) ).
fof(f357213,plain,
( ~ spl14_10
| ~ spl14_14
| spl14_15
| ~ spl14_105 ),
inference(avatar_contradiction_clause,[],[f357212]) ).
fof(f357212,plain,
( $false
| ~ spl14_10
| ~ spl14_14
| spl14_15
| ~ spl14_105 ),
inference(subsumption_resolution,[],[f357210,f195775]) ).
fof(f195775,plain,
( sK5 != sK12
| spl14_15 ),
inference(avatar_component_clause,[],[f198]) ).
fof(f198,plain,
( spl14_15
<=> sK5 = sK12 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_15])]) ).
fof(f357210,plain,
( sK5 = sK12
| ~ spl14_10
| ~ spl14_14
| ~ spl14_105 ),
inference(resolution,[],[f355986,f305179]) ).
fof(f305179,plain,
( sP0(sK12)
| ~ spl14_14 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f127,plain,
( spl14_14
<=> sP0(sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_14])]) ).
fof(f355986,plain,
( ! [X3] :
( ~ sP0(X3)
| sK5 = X3 )
| ~ spl14_10
| ~ spl14_105 ),
inference(forward_demodulation,[],[f96,f9106]) ).
fof(f9106,plain,
( sK5 = sK7
| ~ spl14_105 ),
inference(avatar_component_clause,[],[f9103]) ).
fof(f9103,plain,
( spl14_105
<=> sK5 = sK7 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_105])]) ).
fof(f96,plain,
( ! [X3] :
( ~ sP0(X3)
| sK7 = X3 )
| ~ spl14_10 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f95,plain,
( spl14_10
<=> ! [X3] :
( sK7 = X3
| ~ sP0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_10])]) ).
fof(f356461,plain,
( spl14_23
| ~ spl14_105
| ~ spl14_152 ),
inference(avatar_contradiction_clause,[],[f356460]) ).
fof(f356460,plain,
( $false
| spl14_23
| ~ spl14_105
| ~ spl14_152 ),
inference(subsumption_resolution,[],[f356039,f385]) ).
fof(f385,plain,
( ~ big_f(sK5,sK5)
| spl14_23 ),
inference(avatar_component_clause,[],[f384]) ).
fof(f384,plain,
( spl14_23
<=> big_f(sK5,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_23])]) ).
fof(f356039,plain,
( big_f(sK5,sK5)
| ~ spl14_105
| ~ spl14_152 ),
inference(forward_demodulation,[],[f17781,f9106]) ).
fof(f17781,plain,
( big_f(sK7,sK7)
| ~ spl14_152 ),
inference(avatar_component_clause,[],[f17780]) ).
fof(f17780,plain,
( spl14_152
<=> big_f(sK7,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_152])]) ).
fof(f355968,plain,
( spl14_12
| ~ spl14_108
| ~ spl14_136 ),
inference(avatar_contradiction_clause,[],[f355967]) ).
fof(f355967,plain,
( $false
| spl14_12
| ~ spl14_108
| ~ spl14_136 ),
inference(subsumption_resolution,[],[f12387,f324278]) ).
fof(f324278,plain,
( ~ sP0(sK5)
| spl14_12
| ~ spl14_136 ),
inference(forward_demodulation,[],[f112,f15669]) ).
fof(f15669,plain,
( sK5 = sK13
| ~ spl14_136 ),
inference(avatar_component_clause,[],[f15666]) ).
fof(f15666,plain,
( spl14_136
<=> sK5 = sK13 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_136])]) ).
fof(f112,plain,
( ~ sP0(sK13)
| spl14_12 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f111,plain,
( spl14_12
<=> sP0(sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_12])]) ).
fof(f12387,plain,
( sP0(sK5)
| ~ spl14_108 ),
inference(avatar_component_clause,[],[f9965]) ).
fof(f9965,plain,
( spl14_108
<=> sP0(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_108])]) ).
fof(f355798,plain,
( ~ spl14_4
| ~ spl14_55
| ~ spl14_122
| ~ spl14_821
| ~ spl14_899
| spl14_901 ),
inference(avatar_contradiction_clause,[],[f355797]) ).
fof(f355797,plain,
( $false
| ~ spl14_4
| ~ spl14_55
| ~ spl14_122
| ~ spl14_821
| ~ spl14_899
| spl14_901 ),
inference(subsumption_resolution,[],[f355796,f351833]) ).
fof(f351833,plain,
( sK5 != sK12
| ~ spl14_899
| spl14_901 ),
inference(forward_demodulation,[],[f229692,f229675]) ).
fof(f229675,plain,
( sK12 = sK10(sK12,sK5)
| ~ spl14_899 ),
inference(avatar_component_clause,[],[f229674]) ).
fof(f229674,plain,
( spl14_899
<=> sK12 = sK10(sK12,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_899])]) ).
fof(f229692,plain,
( sK5 != sK10(sK12,sK5)
| spl14_901 ),
inference(avatar_component_clause,[],[f229691]) ).
fof(f229691,plain,
( spl14_901
<=> sK5 = sK10(sK12,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_901])]) ).
fof(f355796,plain,
( sK5 = sK12
| ~ spl14_4
| ~ spl14_55
| ~ spl14_122
| ~ spl14_821 ),
inference(forward_demodulation,[],[f355683,f355478]) ).
fof(f355478,plain,
( sK12 = sK9(sK5)
| ~ spl14_4
| ~ spl14_821 ),
inference(subsumption_resolution,[],[f354478,f72]) ).
fof(f72,plain,
( sP1(sK5)
| ~ spl14_4 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f71,plain,
( spl14_4
<=> sP1(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_4])]) ).
fof(f354478,plain,
( sK12 = sK9(sK5)
| ~ sP1(sK5)
| ~ spl14_821 ),
inference(resolution,[],[f42,f211614]) ).
fof(f211614,plain,
( big_f(sK12,sK5)
| ~ spl14_821 ),
inference(avatar_component_clause,[],[f205549]) ).
fof(f205549,plain,
( spl14_821
<=> big_f(sK12,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_821])]) ).
fof(f42,plain,
! [X0,X4] :
( ~ big_f(X4,X0)
| sK9(X0) = X4
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0] :
( ( sP1(X0)
| ! [X1] :
( ( sK8(X0,X1) != X1
| ~ big_f(sK8(X0,X1),X0) )
& ( sK8(X0,X1) = X1
| big_f(sK8(X0,X1),X0) ) ) )
& ( ! [X4] :
( ( big_f(X4,X0)
| sK9(X0) != X4 )
& ( sK9(X0) = X4
| ~ big_f(X4,X0) ) )
| ~ sP1(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9])],[f22,f24,f23]) ).
fof(f23,plain,
! [X0,X1] :
( ? [X2] :
( ( X1 != X2
| ~ big_f(X2,X0) )
& ( X1 = X2
| big_f(X2,X0) ) )
=> ( ( sK8(X0,X1) != X1
| ~ big_f(sK8(X0,X1),X0) )
& ( sK8(X0,X1) = X1
| big_f(sK8(X0,X1),X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f24,plain,
! [X0] :
( ? [X3] :
! [X4] :
( ( big_f(X4,X0)
| X3 != X4 )
& ( X3 = X4
| ~ big_f(X4,X0) ) )
=> ! [X4] :
( ( big_f(X4,X0)
| sK9(X0) != X4 )
& ( sK9(X0) = X4
| ~ big_f(X4,X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f22,plain,
! [X0] :
( ( sP1(X0)
| ! [X1] :
? [X2] :
( ( X1 != X2
| ~ big_f(X2,X0) )
& ( X1 = X2
| big_f(X2,X0) ) ) )
& ( ? [X3] :
! [X4] :
( ( big_f(X4,X0)
| X3 != X4 )
& ( X3 = X4
| ~ big_f(X4,X0) ) )
| ~ sP1(X0) ) ),
inference(rectify,[],[f21]) ).
fof(f21,plain,
! [X5] :
( ( sP1(X5)
| ! [X6] :
? [X7] :
( ( X6 != X7
| ~ big_f(X7,X5) )
& ( X6 = X7
| big_f(X7,X5) ) ) )
& ( ? [X6] :
! [X7] :
( ( big_f(X7,X5)
| X6 != X7 )
& ( X6 = X7
| ~ big_f(X7,X5) ) )
| ~ sP1(X5) ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f7,plain,
! [X5] :
( sP1(X5)
<=> ? [X6] :
! [X7] :
( big_f(X7,X5)
<=> X6 = X7 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f355683,plain,
( sK5 = sK9(sK5)
| ~ spl14_55
| ~ spl14_122 ),
inference(backward_demodulation,[],[f1828,f355681]) ).
fof(f355681,plain,
( sK5 = sK7
| ~ spl14_55
| ~ spl14_122 ),
inference(forward_demodulation,[],[f12428,f1828]) ).
fof(f12428,plain,
( sK7 = sK9(sK7)
| ~ spl14_122 ),
inference(avatar_component_clause,[],[f12427]) ).
fof(f12427,plain,
( spl14_122
<=> sK7 = sK9(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_122])]) ).
fof(f1828,plain,
( sK5 = sK9(sK7)
| ~ spl14_55 ),
inference(avatar_component_clause,[],[f1827]) ).
fof(f1827,plain,
( spl14_55
<=> sK5 = sK9(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_55])]) ).
fof(f355477,plain,
( ~ spl14_5
| ~ spl14_6
| ~ spl14_8
| spl14_14
| ~ spl14_16
| ~ spl14_25
| ~ spl14_26
| ~ spl14_920 ),
inference(avatar_contradiction_clause,[],[f355476]) ).
fof(f355476,plain,
( $false
| ~ spl14_5
| ~ spl14_6
| ~ spl14_8
| spl14_14
| ~ spl14_16
| ~ spl14_25
| ~ spl14_26
| ~ spl14_920 ),
inference(subsumption_resolution,[],[f355469,f862]) ).
fof(f862,plain,
( big_f(sK5,sK12)
| ~ spl14_25 ),
inference(avatar_component_clause,[],[f853]) ).
fof(f853,plain,
( spl14_25
<=> big_f(sK5,sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_25])]) ).
fof(f355469,plain,
( ~ big_f(sK5,sK12)
| ~ spl14_5
| ~ spl14_6
| ~ spl14_8
| spl14_14
| ~ spl14_16
| ~ spl14_26
| ~ spl14_920 ),
inference(trivial_inequality_removal,[],[f355468]) ).
fof(f355468,plain,
( sK12 != sK12
| ~ big_f(sK5,sK12)
| ~ spl14_5
| ~ spl14_6
| ~ spl14_8
| spl14_14
| ~ spl14_16
| ~ spl14_26
| ~ spl14_920 ),
inference(superposition,[],[f326009,f354842]) ).
fof(f354842,plain,
( sK12 = sK10(sK5,sK12)
| ~ spl14_26 ),
inference(equality_resolution,[],[f857]) ).
fof(f857,plain,
( ! [X0] :
( sK12 != X0
| sK10(sK5,X0) = X0 )
| ~ spl14_26 ),
inference(avatar_component_clause,[],[f856]) ).
fof(f856,plain,
( spl14_26
<=> ! [X0] :
( sK12 != X0
| sK10(sK5,X0) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_26])]) ).
fof(f326009,plain,
( ! [X0,X1] :
( sK10(X0,X1) != X1
| ~ big_f(X0,sK10(X0,X1)) )
| ~ spl14_5
| ~ spl14_6
| ~ spl14_8
| spl14_14
| ~ spl14_16
| ~ spl14_920 ),
inference(subsumption_resolution,[],[f49,f325629]) ).
fof(f325629,plain,
( ! [X0] : ~ sP0(X0)
| ~ spl14_5
| ~ spl14_6
| ~ spl14_8
| spl14_14
| ~ spl14_16
| ~ spl14_920 ),
inference(forward_demodulation,[],[f325628,f325606]) ).
fof(f325606,plain,
( ! [X0] : sK6(X0) = X0
| ~ spl14_5
| ~ spl14_8
| spl14_14
| ~ spl14_16
| ~ spl14_920 ),
inference(subsumption_resolution,[],[f325603,f325434]) ).
fof(f325434,plain,
( ! [X5] :
( sK6(X5) = X5
| sK5 = X5 )
| ~ spl14_5
| ~ spl14_16
| ~ spl14_920 ),
inference(superposition,[],[f237120,f323800]) ).
fof(f323800,plain,
( ! [X0] :
( sK12 = X0
| sK5 = X0 )
| ~ spl14_5
| ~ spl14_16 ),
inference(resolution,[],[f202,f76]) ).
fof(f76,plain,
( ! [X3] :
( ~ sP1(X3)
| sK5 = X3 )
| ~ spl14_5 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f75,plain,
( spl14_5
<=> ! [X3] :
( sK5 = X3
| ~ sP1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_5])]) ).
fof(f202,plain,
( ! [X0] :
( sP1(X0)
| sK12 = X0 )
| ~ spl14_16 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f201,plain,
( spl14_16
<=> ! [X0] :
( sP1(X0)
| sK12 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_16])]) ).
fof(f237120,plain,
( sK12 = sK6(sK12)
| ~ spl14_920 ),
inference(avatar_component_clause,[],[f237119]) ).
fof(f237119,plain,
( spl14_920
<=> sK12 = sK6(sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_920])]) ).
fof(f325603,plain,
( ! [X0] :
( sK5 != X0
| sK6(X0) = X0 )
| ~ spl14_5
| ~ spl14_8
| spl14_14
| ~ spl14_16 ),
inference(equality_factoring,[],[f325480]) ).
fof(f325480,plain,
( ! [X1] :
( sK6(X1) = X1
| sK5 = sK6(X1) )
| ~ spl14_5
| ~ spl14_8
| spl14_14
| ~ spl14_16 ),
inference(resolution,[],[f87,f325230]) ).
fof(f325230,plain,
( ! [X0] :
( ~ sP0(X0)
| sK5 = X0 )
| ~ spl14_5
| spl14_14
| ~ spl14_16 ),
inference(superposition,[],[f128,f323800]) ).
fof(f128,plain,
( ~ sP0(sK12)
| spl14_14 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f87,plain,
( ! [X0] :
( sP0(sK6(X0))
| sK6(X0) = X0 )
| ~ spl14_8 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f86,plain,
( spl14_8
<=> ! [X0] :
( sK6(X0) = X0
| sP0(sK6(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_8])]) ).
fof(f325628,plain,
( ! [X0] : ~ sP0(sK6(X0))
| ~ spl14_5
| ~ spl14_6
| ~ spl14_8
| spl14_14
| ~ spl14_16
| ~ spl14_920 ),
inference(trivial_inequality_removal,[],[f325607]) ).
fof(f325607,plain,
( ! [X0] :
( X0 != X0
| ~ sP0(sK6(X0)) )
| ~ spl14_5
| ~ spl14_6
| ~ spl14_8
| spl14_14
| ~ spl14_16
| ~ spl14_920 ),
inference(backward_demodulation,[],[f80,f325606]) ).
fof(f80,plain,
( ! [X0] :
( ~ sP0(sK6(X0))
| sK6(X0) != X0 )
| ~ spl14_6 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f79,plain,
( spl14_6
<=> ! [X0] :
( sK6(X0) != X0
| ~ sP0(sK6(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_6])]) ).
fof(f49,plain,
! [X0,X1] :
( sP0(X0)
| sK10(X0,X1) != X1
| ~ big_f(X0,sK10(X0,X1)) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0] :
( ( sP0(X0)
| ! [X1] :
( ( sK10(X0,X1) != X1
| ~ big_f(X0,sK10(X0,X1)) )
& ( sK10(X0,X1) = X1
| big_f(X0,sK10(X0,X1)) ) ) )
& ( ! [X4] :
( ( big_f(X0,X4)
| sK11(X0) != X4 )
& ( sK11(X0) = X4
| ~ big_f(X0,X4) ) )
| ~ sP0(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11])],[f27,f29,f28]) ).
fof(f28,plain,
! [X0,X1] :
( ? [X2] :
( ( X1 != X2
| ~ big_f(X0,X2) )
& ( X1 = X2
| big_f(X0,X2) ) )
=> ( ( sK10(X0,X1) != X1
| ~ big_f(X0,sK10(X0,X1)) )
& ( sK10(X0,X1) = X1
| big_f(X0,sK10(X0,X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f29,plain,
! [X0] :
( ? [X3] :
! [X4] :
( ( big_f(X0,X4)
| X3 != X4 )
& ( X3 = X4
| ~ big_f(X0,X4) ) )
=> ! [X4] :
( ( big_f(X0,X4)
| sK11(X0) != X4 )
& ( sK11(X0) = X4
| ~ big_f(X0,X4) ) ) ),
introduced(choice_axiom,[]) ).
fof(f27,plain,
! [X0] :
( ( sP0(X0)
| ! [X1] :
? [X2] :
( ( X1 != X2
| ~ big_f(X0,X2) )
& ( X1 = X2
| big_f(X0,X2) ) ) )
& ( ? [X3] :
! [X4] :
( ( big_f(X0,X4)
| X3 != X4 )
& ( X3 = X4
| ~ big_f(X0,X4) ) )
| ~ sP0(X0) ) ),
inference(rectify,[],[f26]) ).
fof(f26,plain,
! [X1] :
( ( sP0(X1)
| ! [X2] :
? [X3] :
( ( X2 != X3
| ~ big_f(X1,X3) )
& ( X2 = X3
| big_f(X1,X3) ) ) )
& ( ? [X2] :
! [X3] :
( ( big_f(X1,X3)
| X2 != X3 )
& ( X2 = X3
| ~ big_f(X1,X3) ) )
| ~ sP0(X1) ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f6,plain,
! [X1] :
( sP0(X1)
<=> ? [X2] :
! [X3] :
( big_f(X1,X3)
<=> X2 = X3 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f353813,plain,
( spl14_791
| spl14_799
| ~ spl14_5
| ~ spl14_6
| ~ spl14_8
| spl14_14
| ~ spl14_16
| ~ spl14_899
| spl14_901
| ~ spl14_920 ),
inference(avatar_split_clause,[],[f353806,f237119,f229691,f229674,f201,f127,f86,f79,f75,f197851,f196140]) ).
fof(f196140,plain,
( spl14_791
<=> ! [X25] : sK12 = X25 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_791])]) ).
fof(f197851,plain,
( spl14_799
<=> big_f(sK12,sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_799])]) ).
fof(f353806,plain,
( ! [X2] :
( big_f(sK12,sK12)
| sK12 = X2 )
| ~ spl14_5
| ~ spl14_6
| ~ spl14_8
| spl14_14
| ~ spl14_16
| ~ spl14_899
| spl14_901
| ~ spl14_920 ),
inference(duplicate_literal_removal,[],[f353790]) ).
fof(f353790,plain,
( ! [X2] :
( big_f(sK12,sK12)
| sK12 = X2
| sK12 = X2 )
| ~ spl14_5
| ~ spl14_6
| ~ spl14_8
| spl14_14
| ~ spl14_16
| ~ spl14_899
| spl14_901
| ~ spl14_920 ),
inference(superposition,[],[f326010,f352290]) ).
fof(f352290,plain,
( ! [X12] :
( sK12 = sK10(sK12,X12)
| sK12 = X12 )
| ~ spl14_5
| ~ spl14_8
| spl14_14
| ~ spl14_16
| ~ spl14_899
| spl14_901
| ~ spl14_920 ),
inference(subsumption_resolution,[],[f352088,f351833]) ).
fof(f352088,plain,
( ! [X12] :
( sK12 = sK10(sK12,X12)
| sK5 = sK12
| sK12 = X12 )
| ~ spl14_5
| ~ spl14_8
| spl14_14
| ~ spl14_16
| ~ spl14_899
| ~ spl14_920 ),
inference(superposition,[],[f229675,f326013]) ).
fof(f326013,plain,
( ! [X26,X25] :
( sK12 = X25
| X25 = X26
| sK12 = X26 )
| ~ spl14_5
| ~ spl14_8
| spl14_14
| ~ spl14_16
| ~ spl14_920 ),
inference(backward_demodulation,[],[f325782,f325606]) ).
fof(f325782,plain,
( ! [X26,X25] :
( X25 = X26
| sK12 = sK6(X25)
| sK12 = X26 )
| ~ spl14_5
| ~ spl14_8
| spl14_14
| ~ spl14_16
| ~ spl14_920 ),
inference(superposition,[],[f325606,f101]) ).
fof(f101,plain,
! [X0,X1] :
( X0 = X1
| sK12 = X1
| sK12 = X0 ),
inference(superposition,[],[f53,f53]) ).
fof(f53,plain,
! [X2] :
( sK13 = X2
| sK12 = X2 ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
( ! [X2] :
( sK13 = X2
| sK12 = X2 )
& sK12 != sK13 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13])],[f1,f32]) ).
fof(f32,plain,
( ? [X0,X1] :
( ! [X2] :
( X1 = X2
| X0 = X2 )
& X0 != X1 )
=> ( ! [X2] :
( sK13 = X2
| sK12 = X2 )
& sK12 != sK13 ) ),
introduced(choice_axiom,[]) ).
fof(f1,axiom,
? [X0,X1] :
( ! [X2] :
( X1 = X2
| X0 = X2 )
& X0 != X1 ),
file('/export/starexec/sandbox2/tmp/tmp.ZmVZEoQGUR/Vampire---4.8_24956',pel53_1) ).
fof(f326010,plain,
( ! [X0,X1] :
( big_f(X0,sK10(X0,X1))
| sK10(X0,X1) = X1 )
| ~ spl14_5
| ~ spl14_6
| ~ spl14_8
| spl14_14
| ~ spl14_16
| ~ spl14_920 ),
inference(subsumption_resolution,[],[f48,f325629]) ).
fof(f48,plain,
! [X0,X1] :
( sP0(X0)
| sK10(X0,X1) = X1
| big_f(X0,sK10(X0,X1)) ),
inference(cnf_transformation,[],[f30]) ).
fof(f352628,plain,
( spl14_15
| spl14_1264
| ~ spl14_5
| ~ spl14_8
| spl14_14
| ~ spl14_16
| spl14_25
| ~ spl14_920 ),
inference(avatar_split_clause,[],[f351304,f237119,f853,f201,f127,f86,f75,f349631,f198]) ).
fof(f349631,plain,
( spl14_1264
<=> ! [X17] :
( ~ big_f(X17,sK12)
| sK12 = X17 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1264])]) ).
fof(f351304,plain,
( ! [X3] :
( ~ big_f(X3,sK12)
| sK12 = X3
| sK5 = sK12 )
| ~ spl14_5
| ~ spl14_8
| spl14_14
| ~ spl14_16
| spl14_25
| ~ spl14_920 ),
inference(superposition,[],[f854,f326013]) ).
fof(f854,plain,
( ~ big_f(sK5,sK12)
| spl14_25 ),
inference(avatar_component_clause,[],[f853]) ).
fof(f351557,plain,
( ~ spl14_5
| ~ spl14_6
| ~ spl14_8
| spl14_14
| ~ spl14_16
| ~ spl14_821
| ~ spl14_901
| ~ spl14_920 ),
inference(avatar_contradiction_clause,[],[f351556]) ).
fof(f351556,plain,
( $false
| ~ spl14_5
| ~ spl14_6
| ~ spl14_8
| spl14_14
| ~ spl14_16
| ~ spl14_821
| ~ spl14_901
| ~ spl14_920 ),
inference(subsumption_resolution,[],[f351554,f211614]) ).
fof(f351554,plain,
( ~ big_f(sK12,sK5)
| ~ spl14_5
| ~ spl14_6
| ~ spl14_8
| spl14_14
| ~ spl14_16
| ~ spl14_901
| ~ spl14_920 ),
inference(trivial_inequality_removal,[],[f351541]) ).
fof(f351541,plain,
( sK5 != sK5
| ~ big_f(sK12,sK5)
| ~ spl14_5
| ~ spl14_6
| ~ spl14_8
| spl14_14
| ~ spl14_16
| ~ spl14_901
| ~ spl14_920 ),
inference(superposition,[],[f326009,f230433]) ).
fof(f230433,plain,
( sK5 = sK10(sK12,sK5)
| ~ spl14_901 ),
inference(avatar_component_clause,[],[f229691]) ).
fof(f350508,plain,
( ~ spl14_5
| ~ spl14_8
| spl14_14
| ~ spl14_16
| spl14_789
| ~ spl14_799
| ~ spl14_920
| ~ spl14_1197
| ~ spl14_1264 ),
inference(avatar_contradiction_clause,[],[f350507]) ).
fof(f350507,plain,
( $false
| ~ spl14_5
| ~ spl14_8
| spl14_14
| ~ spl14_16
| spl14_789
| ~ spl14_799
| ~ spl14_920
| ~ spl14_1197
| ~ spl14_1264 ),
inference(subsumption_resolution,[],[f350506,f197852]) ).
fof(f197852,plain,
( big_f(sK12,sK12)
| ~ spl14_799 ),
inference(avatar_component_clause,[],[f197851]) ).
fof(f350506,plain,
( ~ big_f(sK12,sK12)
| ~ spl14_5
| ~ spl14_8
| spl14_14
| ~ spl14_16
| spl14_789
| ~ spl14_920
| ~ spl14_1197
| ~ spl14_1264 ),
inference(forward_demodulation,[],[f350505,f350416]) ).
fof(f350416,plain,
( ! [X0] : sK12 = X0
| ~ spl14_5
| ~ spl14_8
| spl14_14
| ~ spl14_16
| spl14_789
| ~ spl14_920
| ~ spl14_1197
| ~ spl14_1264 ),
inference(subsumption_resolution,[],[f350405,f350180]) ).
fof(f350180,plain,
( ! [X16,X17] :
( X16 = X17
| sK12 = X17
| sK12 = sK8(sK12,X16) )
| ~ spl14_5
| ~ spl14_8
| spl14_14
| ~ spl14_16
| spl14_789
| ~ spl14_920
| ~ spl14_1264 ),
inference(subsumption_resolution,[],[f339232,f349632]) ).
fof(f349632,plain,
( ! [X17] :
( ~ big_f(X17,sK12)
| sK12 = X17 )
| ~ spl14_1264 ),
inference(avatar_component_clause,[],[f349631]) ).
fof(f339232,plain,
( ! [X16,X17] :
( big_f(X17,sK12)
| X16 = X17
| sK12 = X17
| sK12 = sK8(sK12,X16) )
| ~ spl14_5
| ~ spl14_8
| spl14_14
| ~ spl14_16
| spl14_789
| ~ spl14_920 ),
inference(superposition,[],[f321974,f326013]) ).
fof(f321974,plain,
( ! [X0] :
( big_f(sK8(sK12,X0),sK12)
| sK8(sK12,X0) = X0 )
| spl14_789 ),
inference(resolution,[],[f44,f195945]) ).
fof(f195945,plain,
( ~ sP1(sK12)
| spl14_789 ),
inference(avatar_component_clause,[],[f195944]) ).
fof(f195944,plain,
( spl14_789
<=> sP1(sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_789])]) ).
fof(f44,plain,
! [X0,X1] :
( sP1(X0)
| sK8(X0,X1) = X1
| big_f(sK8(X0,X1),X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f350405,plain,
( ! [X0] :
( sK12 != sK8(sK12,sK12)
| sK12 = X0 )
| ~ spl14_1197 ),
inference(equality_factoring,[],[f339408]) ).
fof(f339408,plain,
( ! [X0] :
( sK8(sK12,sK12) = X0
| sK12 = X0 )
| ~ spl14_1197 ),
inference(equality_resolution,[],[f327767]) ).
fof(f327767,plain,
( ! [X11,X12] :
( sK12 != X11
| sK8(sK12,X11) = X12
| sK12 = X12 )
| ~ spl14_1197 ),
inference(avatar_component_clause,[],[f327766]) ).
fof(f327766,plain,
( spl14_1197
<=> ! [X12,X11] :
( sK12 != X11
| sK8(sK12,X11) = X12
| sK12 = X12 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1197])]) ).
fof(f350505,plain,
( ! [X0] : ~ big_f(sK8(sK12,X0),sK12)
| ~ spl14_5
| ~ spl14_8
| spl14_14
| ~ spl14_16
| spl14_789
| ~ spl14_920
| ~ spl14_1197
| ~ spl14_1264 ),
inference(subsumption_resolution,[],[f350465,f350416]) ).
fof(f350465,plain,
( ! [X0] :
( sK12 != X0
| ~ big_f(sK8(sK12,X0),sK12) )
| ~ spl14_5
| ~ spl14_8
| spl14_14
| ~ spl14_16
| spl14_789
| ~ spl14_920
| ~ spl14_1197
| ~ spl14_1264 ),
inference(backward_demodulation,[],[f323250,f350416]) ).
fof(f323250,plain,
( ! [X0] :
( sK8(sK12,X0) != X0
| ~ big_f(sK8(sK12,X0),sK12) )
| spl14_789 ),
inference(resolution,[],[f45,f195945]) ).
fof(f45,plain,
! [X0,X1] :
( sP1(X0)
| sK8(X0,X1) != X1
| ~ big_f(sK8(X0,X1),X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f349230,plain,
( spl14_57
| ~ spl14_85
| ~ spl14_105
| ~ spl14_136
| ~ spl14_196 ),
inference(avatar_contradiction_clause,[],[f349229]) ).
fof(f349229,plain,
( $false
| spl14_57
| ~ spl14_85
| ~ spl14_105
| ~ spl14_136
| ~ spl14_196 ),
inference(subsumption_resolution,[],[f349228,f324426]) ).
fof(f324426,plain,
( big_f(sK5,sK5)
| ~ spl14_85
| ~ spl14_136
| ~ spl14_196 ),
inference(forward_demodulation,[],[f324419,f5524]) ).
fof(f5524,plain,
( sK5 = sK6(sK5)
| ~ spl14_85 ),
inference(avatar_component_clause,[],[f5523]) ).
fof(f5523,plain,
( spl14_85
<=> sK5 = sK6(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_85])]) ).
fof(f324419,plain,
( big_f(sK6(sK5),sK5)
| ~ spl14_136
| ~ spl14_196 ),
inference(forward_demodulation,[],[f26607,f15669]) ).
fof(f26607,plain,
( big_f(sK6(sK5),sK13)
| ~ spl14_196 ),
inference(avatar_component_clause,[],[f26606]) ).
fof(f26606,plain,
( spl14_196
<=> big_f(sK6(sK5),sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_196])]) ).
fof(f349228,plain,
( ~ big_f(sK5,sK5)
| spl14_57
| ~ spl14_105 ),
inference(forward_demodulation,[],[f2217,f9106]) ).
fof(f2217,plain,
( ~ big_f(sK5,sK7)
| spl14_57 ),
inference(avatar_component_clause,[],[f2216]) ).
fof(f2216,plain,
( spl14_57
<=> big_f(sK5,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_57])]) ).
fof(f349220,plain,
( ~ spl14_85
| ~ spl14_105
| ~ spl14_136
| spl14_152
| ~ spl14_196 ),
inference(avatar_contradiction_clause,[],[f349219]) ).
fof(f349219,plain,
( $false
| ~ spl14_85
| ~ spl14_105
| ~ spl14_136
| spl14_152
| ~ spl14_196 ),
inference(subsumption_resolution,[],[f349218,f324426]) ).
fof(f349218,plain,
( ~ big_f(sK5,sK5)
| ~ spl14_105
| spl14_152 ),
inference(forward_demodulation,[],[f18492,f9106]) ).
fof(f18492,plain,
( ~ big_f(sK7,sK7)
| spl14_152 ),
inference(avatar_component_clause,[],[f17780]) ).
fof(f348946,plain,
( ~ spl14_5
| ~ spl14_6
| ~ spl14_8
| spl14_14
| ~ spl14_16
| spl14_78
| spl14_86
| ~ spl14_636
| ~ spl14_920 ),
inference(avatar_contradiction_clause,[],[f348945]) ).
fof(f348945,plain,
( $false
| ~ spl14_5
| ~ spl14_6
| ~ spl14_8
| spl14_14
| ~ spl14_16
| spl14_78
| spl14_86
| ~ spl14_636
| ~ spl14_920 ),
inference(subsumption_resolution,[],[f348944,f324271]) ).
fof(f324271,plain,
( sK5 != sK12
| spl14_78
| ~ spl14_636 ),
inference(forward_demodulation,[],[f4600,f140059]) ).
fof(f140059,plain,
( sK12 = sK10(sK5,sK5)
| ~ spl14_636 ),
inference(avatar_component_clause,[],[f140058]) ).
fof(f140058,plain,
( spl14_636
<=> sK12 = sK10(sK5,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_636])]) ).
fof(f4600,plain,
( sK5 != sK10(sK5,sK5)
| spl14_78 ),
inference(avatar_component_clause,[],[f4599]) ).
fof(f4599,plain,
( spl14_78
<=> sK5 = sK10(sK5,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_78])]) ).
fof(f348944,plain,
( sK5 = sK12
| ~ spl14_5
| ~ spl14_6
| ~ spl14_8
| spl14_14
| ~ spl14_16
| spl14_78
| spl14_86
| ~ spl14_636
| ~ spl14_920 ),
inference(resolution,[],[f327617,f348518]) ).
fof(f348518,plain,
( ~ big_f(sK5,sK12)
| spl14_86
| ~ spl14_636 ),
inference(forward_demodulation,[],[f9012,f140059]) ).
fof(f9012,plain,
( ~ big_f(sK5,sK10(sK5,sK5))
| spl14_86 ),
inference(avatar_component_clause,[],[f5575]) ).
fof(f5575,plain,
( spl14_86
<=> big_f(sK5,sK10(sK5,sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_86])]) ).
fof(f327617,plain,
( ! [X2] :
( big_f(X2,sK12)
| sK12 = X2 )
| ~ spl14_5
| ~ spl14_6
| ~ spl14_8
| spl14_14
| ~ spl14_16
| spl14_78
| ~ spl14_636
| ~ spl14_920 ),
inference(duplicate_literal_removal,[],[f327607]) ).
fof(f327607,plain,
( ! [X2] :
( big_f(X2,sK12)
| sK12 = X2
| sK12 = X2 )
| ~ spl14_5
| ~ spl14_6
| ~ spl14_8
| spl14_14
| ~ spl14_16
| spl14_78
| ~ spl14_636
| ~ spl14_920 ),
inference(superposition,[],[f326010,f325989]) ).
fof(f325989,plain,
( ! [X3] :
( sK12 = sK10(X3,X3)
| sK12 = X3 )
| spl14_78
| ~ spl14_636 ),
inference(subsumption_resolution,[],[f325767,f324271]) ).
fof(f325767,plain,
( ! [X3] :
( sK12 = sK10(X3,X3)
| sK5 = sK12
| sK12 = X3 )
| ~ spl14_636 ),
inference(superposition,[],[f140059,f101]) ).
fof(f348405,plain,
( spl14_791
| spl14_1196
| ~ spl14_5
| ~ spl14_6
| ~ spl14_8
| spl14_14
| spl14_15
| ~ spl14_16
| ~ spl14_19
| ~ spl14_25
| spl14_78
| ~ spl14_136
| ~ spl14_636
| ~ spl14_799
| spl14_821
| ~ spl14_920 ),
inference(avatar_split_clause,[],[f348404,f237119,f205549,f197851,f140058,f15666,f4599,f853,f332,f201,f198,f127,f86,f79,f75,f325407,f196140]) ).
fof(f325407,plain,
( spl14_1196
<=> sK5 = sK10(sK12,sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1196])]) ).
fof(f332,plain,
( spl14_19
<=> big_f(sK5,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_19])]) ).
fof(f348404,plain,
( ! [X14] :
( sK5 = sK10(sK12,sK12)
| sK12 = X14 )
| ~ spl14_5
| ~ spl14_6
| ~ spl14_8
| spl14_14
| spl14_15
| ~ spl14_16
| ~ spl14_19
| ~ spl14_25
| spl14_78
| ~ spl14_136
| ~ spl14_636
| ~ spl14_799
| spl14_821
| ~ spl14_920 ),
inference(duplicate_literal_removal,[],[f348349]) ).
fof(f348349,plain,
( ! [X14] :
( sK5 = sK10(sK12,sK12)
| sK12 = X14
| sK12 = X14 )
| ~ spl14_5
| ~ spl14_6
| ~ spl14_8
| spl14_14
| spl14_15
| ~ spl14_16
| ~ spl14_19
| ~ spl14_25
| spl14_78
| ~ spl14_136
| ~ spl14_636
| ~ spl14_799
| spl14_821
| ~ spl14_920 ),
inference(resolution,[],[f348336,f329315]) ).
fof(f329315,plain,
( ! [X4,X5] :
( big_f(X4,X4)
| X4 = X5
| sK12 = X5 )
| ~ spl14_5
| ~ spl14_8
| spl14_14
| ~ spl14_16
| ~ spl14_799
| ~ spl14_920 ),
inference(superposition,[],[f197852,f326013]) ).
fof(f348336,plain,
( ! [X0] :
( ~ big_f(X0,sK12)
| sK5 = sK10(X0,sK12) )
| ~ spl14_5
| ~ spl14_6
| ~ spl14_8
| spl14_14
| spl14_15
| ~ spl14_16
| ~ spl14_19
| ~ spl14_25
| spl14_78
| ~ spl14_136
| ~ spl14_636
| spl14_821
| ~ spl14_920 ),
inference(equality_resolution,[],[f329292]) ).
fof(f329292,plain,
( ! [X14,X15] :
( sK12 != X15
| ~ big_f(X14,sK12)
| sK5 = sK10(X14,X15) )
| ~ spl14_5
| ~ spl14_6
| ~ spl14_8
| spl14_14
| spl14_15
| ~ spl14_16
| ~ spl14_19
| ~ spl14_25
| spl14_78
| ~ spl14_136
| ~ spl14_636
| spl14_821
| ~ spl14_920 ),
inference(superposition,[],[f326009,f328924]) ).
fof(f328924,plain,
( ! [X11] :
( sK12 = X11
| sK5 = X11 )
| spl14_15
| ~ spl14_19
| ~ spl14_25
| spl14_78
| ~ spl14_136
| ~ spl14_636
| spl14_821 ),
inference(duplicate_literal_removal,[],[f328921]) ).
fof(f328921,plain,
( ! [X11] :
( sK5 = X11
| sK12 = X11
| sK5 = X11 )
| spl14_15
| ~ spl14_19
| ~ spl14_25
| spl14_78
| ~ spl14_136
| ~ spl14_636
| spl14_821 ),
inference(resolution,[],[f325983,f327803]) ).
fof(f327803,plain,
( ! [X0] :
( big_f(sK5,X0)
| sK5 = X0 )
| spl14_15
| ~ spl14_25
| spl14_78
| ~ spl14_636 ),
inference(subsumption_resolution,[],[f327799,f324271]) ).
fof(f327799,plain,
( ! [X0] :
( big_f(sK5,X0)
| sK5 = X0
| sK5 = sK12 )
| spl14_15
| ~ spl14_25 ),
inference(superposition,[],[f862,f280719]) ).
fof(f280719,plain,
( ! [X0,X1] :
( X0 = X1
| sK5 = X1
| sK5 = X0 )
| spl14_15 ),
inference(superposition,[],[f244536,f244536]) ).
fof(f244536,plain,
( ! [X0] :
( sK12 = X0
| sK5 = X0 )
| spl14_15 ),
inference(equality_resolution,[],[f221829]) ).
fof(f221829,plain,
( ! [X2,X3] :
( sK5 != X2
| X2 = X3
| sK12 = X3 )
| spl14_15 ),
inference(superposition,[],[f195775,f101]) ).
fof(f325983,plain,
( ! [X14,X13] :
( ~ big_f(X14,X13)
| X13 = X14
| sK12 = X13 )
| spl14_15
| ~ spl14_19
| spl14_78
| ~ spl14_136
| ~ spl14_636
| spl14_821 ),
inference(subsumption_resolution,[],[f325775,f324271]) ).
fof(f325775,plain,
( ! [X14,X13] :
( ~ big_f(X14,X13)
| X13 = X14
| sK5 = sK12
| sK12 = X13 )
| spl14_15
| ~ spl14_19
| ~ spl14_136
| spl14_821 ),
inference(superposition,[],[f320165,f101]) ).
fof(f320165,plain,
( ! [X2] :
( ~ big_f(X2,sK5)
| sK5 = X2 )
| spl14_15
| ~ spl14_19
| ~ spl14_136
| spl14_821 ),
inference(superposition,[],[f205550,f320138]) ).
fof(f320138,plain,
( ! [X3] :
( sK12 = X3
| sK5 = X3 )
| spl14_15
| ~ spl14_19
| ~ spl14_136
| spl14_821 ),
inference(subsumption_resolution,[],[f319995,f319079]) ).
fof(f319079,plain,
( big_f(sK5,sK5)
| ~ spl14_19
| ~ spl14_136 ),
inference(forward_demodulation,[],[f26578,f15669]) ).
fof(f26578,plain,
( big_f(sK5,sK13)
| ~ spl14_19 ),
inference(avatar_component_clause,[],[f332]) ).
fof(f319995,plain,
( ! [X3] :
( ~ big_f(sK5,sK5)
| sK12 = X3
| sK5 = X3 )
| spl14_15
| spl14_821 ),
inference(superposition,[],[f205550,f280719]) ).
fof(f205550,plain,
( ~ big_f(sK12,sK5)
| spl14_821 ),
inference(avatar_component_clause,[],[f205549]) ).
fof(f334824,plain,
( spl14_791
| spl14_899
| ~ spl14_5
| ~ spl14_8
| spl14_14
| ~ spl14_16
| spl14_901
| ~ spl14_920 ),
inference(avatar_split_clause,[],[f334823,f237119,f229691,f201,f127,f86,f75,f229674,f196140]) ).
fof(f334823,plain,
( ! [X6] :
( sK12 = sK10(sK12,sK5)
| sK12 = X6 )
| ~ spl14_5
| ~ spl14_8
| spl14_14
| ~ spl14_16
| spl14_901
| ~ spl14_920 ),
inference(subsumption_resolution,[],[f334679,f325845]) ).
fof(f325845,plain,
( ! [X18,X19,X17] :
( X17 = X18
| sK5 = X18
| X17 = X19
| sK12 = X19 )
| ~ spl14_5
| ~ spl14_16 ),
inference(superposition,[],[f323800,f101]) ).
fof(f334679,plain,
( ! [X6] :
( sK5 != X6
| sK12 = sK10(sK12,sK5)
| sK12 = X6 )
| ~ spl14_5
| ~ spl14_8
| spl14_14
| ~ spl14_16
| spl14_901
| ~ spl14_920 ),
inference(superposition,[],[f229692,f326013]) ).
fof(f329066,plain,
( ~ spl14_799
| spl14_1197
| ~ spl14_5
| ~ spl14_8
| spl14_14
| ~ spl14_16
| spl14_789
| ~ spl14_920 ),
inference(avatar_split_clause,[],[f328990,f237119,f195944,f201,f127,f86,f75,f327766,f197851]) ).
fof(f328990,plain,
( ! [X10,X9] :
( sK12 != X9
| ~ big_f(sK12,sK12)
| sK8(sK12,X9) = X10
| sK12 = X10 )
| ~ spl14_5
| ~ spl14_8
| spl14_14
| ~ spl14_16
| spl14_789
| ~ spl14_920 ),
inference(superposition,[],[f323250,f326013]) ).
fof(f329064,plain,
( ~ spl14_5
| ~ spl14_6
| ~ spl14_8
| spl14_14
| ~ spl14_16
| ~ spl14_19
| ~ spl14_25
| ~ spl14_136
| spl14_789
| spl14_799
| ~ spl14_920 ),
inference(avatar_contradiction_clause,[],[f329057]) ).
fof(f329057,plain,
( $false
| ~ spl14_5
| ~ spl14_6
| ~ spl14_8
| spl14_14
| ~ spl14_16
| ~ spl14_19
| ~ spl14_25
| ~ spl14_136
| spl14_789
| spl14_799
| ~ spl14_920 ),
inference(resolution,[],[f329053,f862]) ).
fof(f329053,plain,
( ! [X0] : ~ big_f(X0,sK12)
| ~ spl14_5
| ~ spl14_6
| ~ spl14_8
| spl14_14
| ~ spl14_16
| ~ spl14_19
| ~ spl14_25
| ~ spl14_136
| spl14_789
| spl14_799
| ~ spl14_920 ),
inference(forward_demodulation,[],[f329052,f328996]) ).
fof(f328996,plain,
( ! [X0] : sK12 = X0
| ~ spl14_5
| ~ spl14_16
| ~ spl14_19
| ~ spl14_25
| ~ spl14_136
| spl14_789
| spl14_799 ),
inference(subsumption_resolution,[],[f328995,f325845]) ).
fof(f328995,plain,
( ! [X0] :
( sK5 != X0
| sK12 = X0 )
| ~ spl14_19
| ~ spl14_25
| ~ spl14_136
| spl14_789
| spl14_799 ),
inference(subsumption_resolution,[],[f328981,f862]) ).
fof(f328981,plain,
( ! [X0] :
( sK5 != X0
| ~ big_f(sK5,sK12)
| sK12 = X0 )
| ~ spl14_19
| ~ spl14_136
| spl14_789
| spl14_799 ),
inference(superposition,[],[f323250,f328434]) ).
fof(f328434,plain,
( ! [X16] :
( sK5 = sK8(sK12,X16)
| sK12 = X16 )
| ~ spl14_19
| ~ spl14_136
| spl14_789
| spl14_799 ),
inference(subsumption_resolution,[],[f328303,f325838]) ).
fof(f325838,plain,
( ! [X2,X3] :
( ~ big_f(X2,X2)
| X2 = X3
| sK12 = X3 )
| spl14_799 ),
inference(superposition,[],[f198126,f101]) ).
fof(f198126,plain,
( ~ big_f(sK12,sK12)
| spl14_799 ),
inference(avatar_component_clause,[],[f197851]) ).
fof(f328303,plain,
( ! [X16] :
( big_f(sK12,sK12)
| sK12 = X16
| sK5 = sK8(sK12,X16) )
| ~ spl14_19
| ~ spl14_136
| spl14_789
| spl14_799 ),
inference(superposition,[],[f321974,f327540]) ).
fof(f327540,plain,
( ! [X12] :
( sK12 = X12
| sK5 = X12 )
| ~ spl14_19
| ~ spl14_136
| spl14_799 ),
inference(resolution,[],[f325838,f319079]) ).
fof(f329052,plain,
( ! [X0,X1] : ~ big_f(X0,sK10(X0,X1))
| ~ spl14_5
| ~ spl14_6
| ~ spl14_8
| spl14_14
| ~ spl14_16
| ~ spl14_19
| ~ spl14_25
| ~ spl14_136
| spl14_789
| spl14_799
| ~ spl14_920 ),
inference(subsumption_resolution,[],[f329031,f328996]) ).
fof(f329031,plain,
( ! [X0,X1] :
( sK12 != X1
| ~ big_f(X0,sK10(X0,X1)) )
| ~ spl14_5
| ~ spl14_6
| ~ spl14_8
| spl14_14
| ~ spl14_16
| ~ spl14_19
| ~ spl14_25
| ~ spl14_136
| spl14_789
| spl14_799
| ~ spl14_920 ),
inference(backward_demodulation,[],[f326009,f328996]) ).
fof(f327621,plain,
( ~ spl14_5
| ~ spl14_6
| ~ spl14_8
| spl14_14
| ~ spl14_16
| spl14_78
| ~ spl14_636
| spl14_821
| ~ spl14_920
| ~ spl14_1196 ),
inference(avatar_contradiction_clause,[],[f327620]) ).
fof(f327620,plain,
( $false
| ~ spl14_5
| ~ spl14_6
| ~ spl14_8
| spl14_14
| ~ spl14_16
| spl14_78
| ~ spl14_636
| spl14_821
| ~ spl14_920
| ~ spl14_1196 ),
inference(subsumption_resolution,[],[f327619,f324271]) ).
fof(f327619,plain,
( sK5 = sK12
| ~ spl14_5
| ~ spl14_6
| ~ spl14_8
| spl14_14
| ~ spl14_16
| spl14_821
| ~ spl14_920
| ~ spl14_1196 ),
inference(subsumption_resolution,[],[f327605,f205550]) ).
fof(f327605,plain,
( big_f(sK12,sK5)
| sK5 = sK12
| ~ spl14_5
| ~ spl14_6
| ~ spl14_8
| spl14_14
| ~ spl14_16
| ~ spl14_920
| ~ spl14_1196 ),
inference(superposition,[],[f326010,f325408]) ).
fof(f325408,plain,
( sK5 = sK10(sK12,sK12)
| ~ spl14_1196 ),
inference(avatar_component_clause,[],[f325407]) ).
fof(f325996,plain,
( spl14_831
| spl14_791
| ~ spl14_5
| ~ spl14_16
| spl14_788 ),
inference(avatar_split_clause,[],[f325995,f195800,f201,f75,f196140,f211241]) ).
fof(f211241,plain,
( spl14_831
<=> sK12 = sK11(sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_831])]) ).
fof(f195800,plain,
( spl14_788
<=> sK5 = sK11(sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_788])]) ).
fof(f325995,plain,
( ! [X44] :
( sK12 = X44
| sK12 = sK11(sK12) )
| ~ spl14_5
| ~ spl14_16
| spl14_788 ),
inference(subsumption_resolution,[],[f325749,f325845]) ).
fof(f325749,plain,
( ! [X44] :
( sK5 != X44
| sK12 = X44
| sK12 = sK11(sK12) )
| spl14_788 ),
inference(superposition,[],[f296139,f101]) ).
fof(f296139,plain,
( sK5 != sK11(sK12)
| spl14_788 ),
inference(avatar_component_clause,[],[f195800]) ).
fof(f325370,plain,
( ~ spl14_5
| ~ spl14_8
| spl14_15
| ~ spl14_16
| spl14_108
| spl14_920 ),
inference(avatar_contradiction_clause,[],[f325369]) ).
fof(f325369,plain,
( $false
| ~ spl14_5
| ~ spl14_8
| spl14_15
| ~ spl14_16
| spl14_108
| spl14_920 ),
inference(subsumption_resolution,[],[f325282,f325261]) ).
fof(f325261,plain,
( ! [X9] : sK5 = X9
| ~ spl14_5
| ~ spl14_8
| spl14_15
| ~ spl14_16
| spl14_108
| spl14_920 ),
inference(subsumption_resolution,[],[f325239,f324518]) ).
fof(f324518,plain,
( ! [X24,X23] :
( sK5 = X23
| sK6(X23) = X24
| sK5 = X24 )
| ~ spl14_8
| spl14_15
| spl14_108 ),
inference(subsumption_resolution,[],[f312245,f9966]) ).
fof(f9966,plain,
( ~ sP0(sK5)
| spl14_108 ),
inference(avatar_component_clause,[],[f9965]) ).
fof(f312245,plain,
( ! [X24,X23] :
( sP0(sK5)
| sK5 = X23
| sK6(X23) = X24
| sK5 = X24 )
| ~ spl14_8
| spl14_15 ),
inference(superposition,[],[f87,f280719]) ).
fof(f325239,plain,
( ! [X9] :
( sK6(X9) != X9
| sK5 = X9 )
| ~ spl14_5
| ~ spl14_16
| spl14_920 ),
inference(superposition,[],[f311007,f323800]) ).
fof(f311007,plain,
( sK12 != sK6(sK12)
| spl14_920 ),
inference(avatar_component_clause,[],[f237119]) ).
fof(f325282,plain,
( sK5 != sK12
| ~ spl14_5
| ~ spl14_8
| spl14_15
| ~ spl14_16
| spl14_108
| spl14_920 ),
inference(backward_demodulation,[],[f311007,f325261]) ).
fof(f325062,plain,
( ~ spl14_4
| ~ spl14_13
| ~ spl14_136
| spl14_789 ),
inference(avatar_contradiction_clause,[],[f325061]) ).
fof(f325061,plain,
( $false
| ~ spl14_4
| ~ spl14_13
| ~ spl14_136
| spl14_789 ),
inference(subsumption_resolution,[],[f325060,f72]) ).
fof(f325060,plain,
( ~ sP1(sK5)
| ~ spl14_13
| ~ spl14_136
| spl14_789 ),
inference(forward_demodulation,[],[f195945,f324277]) ).
fof(f324277,plain,
( ! [X1] : sK5 = X1
| ~ spl14_13
| ~ spl14_136 ),
inference(forward_demodulation,[],[f125,f15669]) ).
fof(f125,plain,
( ! [X1] : sK13 = X1
| ~ spl14_13 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f124,plain,
( spl14_13
<=> ! [X1] : sK13 = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_13])]) ).
fof(f323410,plain,
( ~ spl14_6
| spl14_15
| spl14_25
| ~ spl14_108
| ~ spl14_144
| ~ spl14_640
| spl14_789
| ~ spl14_831
| ~ spl14_1116 ),
inference(avatar_contradiction_clause,[],[f323409]) ).
fof(f323409,plain,
( $false
| ~ spl14_6
| spl14_15
| spl14_25
| ~ spl14_108
| ~ spl14_144
| ~ spl14_640
| spl14_789
| ~ spl14_831
| ~ spl14_1116 ),
inference(subsumption_resolution,[],[f323408,f318853]) ).
fof(f318853,plain,
( sK5 != sK12
| ~ spl14_6
| ~ spl14_108
| ~ spl14_1116 ),
inference(subsumption_resolution,[],[f316139,f12387]) ).
fof(f316139,plain,
( ~ sP0(sK5)
| sK5 != sK12
| ~ spl14_6
| ~ spl14_1116 ),
inference(superposition,[],[f80,f310982]) ).
fof(f310982,plain,
( sK5 = sK6(sK12)
| ~ spl14_1116 ),
inference(avatar_component_clause,[],[f310981]) ).
fof(f310981,plain,
( spl14_1116
<=> sK5 = sK6(sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1116])]) ).
fof(f323408,plain,
( sK5 = sK12
| ~ spl14_6
| spl14_15
| spl14_25
| ~ spl14_108
| ~ spl14_144
| ~ spl14_640
| spl14_789
| ~ spl14_831
| ~ spl14_1116 ),
inference(forward_demodulation,[],[f323407,f310982]) ).
fof(f323407,plain,
( sK12 = sK6(sK12)
| ~ spl14_6
| spl14_15
| spl14_25
| ~ spl14_108
| ~ spl14_144
| ~ spl14_640
| spl14_789
| ~ spl14_831
| ~ spl14_1116 ),
inference(subsumption_resolution,[],[f323402,f320149]) ).
fof(f320149,plain,
( big_f(sK12,sK12)
| ~ spl14_144
| ~ spl14_640
| ~ spl14_831 ),
inference(subsumption_resolution,[],[f320148,f303450]) ).
fof(f303450,plain,
( sP0(sK12)
| ~ spl14_144
| ~ spl14_640 ),
inference(forward_demodulation,[],[f17530,f140078]) ).
fof(f140078,plain,
( sK12 = sK6(sK5)
| ~ spl14_640 ),
inference(avatar_component_clause,[],[f140077]) ).
fof(f140077,plain,
( spl14_640
<=> sK12 = sK6(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_640])]) ).
fof(f17530,plain,
( sP0(sK6(sK5))
| ~ spl14_144 ),
inference(avatar_component_clause,[],[f17529]) ).
fof(f17529,plain,
( spl14_144
<=> sP0(sK6(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_144])]) ).
fof(f320148,plain,
( big_f(sK12,sK12)
| ~ sP0(sK12)
| ~ spl14_831 ),
inference(superposition,[],[f57,f211242]) ).
fof(f211242,plain,
( sK12 = sK11(sK12)
| ~ spl14_831 ),
inference(avatar_component_clause,[],[f211241]) ).
fof(f57,plain,
! [X0] :
( big_f(X0,sK11(X0))
| ~ sP0(X0) ),
inference(equality_resolution,[],[f47]) ).
fof(f47,plain,
! [X0,X4] :
( big_f(X0,X4)
| sK11(X0) != X4
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f323402,plain,
( ~ big_f(sK12,sK12)
| sK12 = sK6(sK12)
| ~ spl14_6
| spl14_15
| spl14_25
| ~ spl14_108
| ~ spl14_640
| spl14_789
| ~ spl14_1116 ),
inference(trivial_inequality_removal,[],[f323385]) ).
fof(f323385,plain,
( sK12 != sK12
| ~ big_f(sK12,sK12)
| sK12 = sK6(sK12)
| ~ spl14_6
| spl14_15
| spl14_25
| ~ spl14_108
| ~ spl14_640
| spl14_789
| ~ spl14_1116 ),
inference(superposition,[],[f323250,f323192]) ).
fof(f323192,plain,
( ! [X156] :
( sK8(X156,X156) = X156
| sK12 = sK6(X156) )
| ~ spl14_6
| spl14_15
| spl14_25
| ~ spl14_108
| ~ spl14_640
| spl14_789
| ~ spl14_1116 ),
inference(subsumption_resolution,[],[f323074,f318853]) ).
fof(f323074,plain,
( ! [X156] :
( sK8(X156,X156) = X156
| sK12 = sK6(X156)
| sK5 = sK12 )
| ~ spl14_6
| spl14_15
| spl14_25
| ~ spl14_108
| ~ spl14_640
| spl14_789
| ~ spl14_1116 ),
inference(superposition,[],[f322828,f312220]) ).
fof(f312220,plain,
( ! [X14,X13] :
( sK12 = sK6(X13)
| X13 = X14
| sK5 = X14 )
| spl14_15
| ~ spl14_640 ),
inference(superposition,[],[f140078,f280719]) ).
fof(f322828,plain,
( sK12 = sK8(sK12,sK12)
| ~ spl14_6
| spl14_25
| ~ spl14_108
| spl14_789
| ~ spl14_1116 ),
inference(equality_resolution,[],[f322811]) ).
fof(f322811,plain,
( ! [X0] :
( sK12 != X0
| sK12 = sK8(sK12,X0) )
| ~ spl14_6
| spl14_25
| ~ spl14_108
| spl14_789
| ~ spl14_1116 ),
inference(equality_factoring,[],[f322694]) ).
fof(f322694,plain,
( ! [X2] :
( sK8(sK12,X2) = X2
| sK12 = sK8(sK12,X2) )
| ~ spl14_6
| spl14_25
| ~ spl14_108
| spl14_789
| ~ spl14_1116 ),
inference(resolution,[],[f321974,f320615]) ).
fof(f320615,plain,
( ! [X3] :
( ~ big_f(X3,sK12)
| sK12 = X3 )
| ~ spl14_6
| spl14_25
| ~ spl14_108
| ~ spl14_1116 ),
inference(subsumption_resolution,[],[f320365,f318853]) ).
fof(f320365,plain,
( ! [X3] :
( ~ big_f(X3,sK12)
| sK12 = X3
| sK5 = sK12 )
| spl14_25 ),
inference(superposition,[],[f854,f101]) ).
fof(f320334,plain,
( ~ spl14_6
| ~ spl14_25
| ~ spl14_59
| ~ spl14_105
| ~ spl14_108
| ~ spl14_1116 ),
inference(avatar_contradiction_clause,[],[f320333]) ).
fof(f320333,plain,
( $false
| ~ spl14_6
| ~ spl14_25
| ~ spl14_59
| ~ spl14_105
| ~ spl14_108
| ~ spl14_1116 ),
inference(subsumption_resolution,[],[f320332,f318853]) ).
fof(f320332,plain,
( sK5 = sK12
| ~ spl14_25
| ~ spl14_59
| ~ spl14_105
| ~ spl14_108 ),
inference(forward_demodulation,[],[f320331,f319056]) ).
fof(f319056,plain,
( sK5 = sK11(sK5)
| ~ spl14_59
| ~ spl14_105 ),
inference(forward_demodulation,[],[f2227,f9106]) ).
fof(f2227,plain,
( sK5 = sK11(sK7)
| ~ spl14_59 ),
inference(avatar_component_clause,[],[f2226]) ).
fof(f2226,plain,
( spl14_59
<=> sK5 = sK11(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_59])]) ).
fof(f320331,plain,
( sK12 = sK11(sK5)
| ~ spl14_25
| ~ spl14_108 ),
inference(subsumption_resolution,[],[f320324,f12387]) ).
fof(f320324,plain,
( sK12 = sK11(sK5)
| ~ sP0(sK5)
| ~ spl14_25 ),
inference(resolution,[],[f46,f862]) ).
fof(f46,plain,
! [X0,X4] :
( ~ big_f(X0,X4)
| sK11(X0) = X4
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f319426,plain,
( ~ spl14_6
| ~ spl14_16
| ~ spl14_35
| ~ spl14_144
| ~ spl14_640
| ~ spl14_831 ),
inference(avatar_contradiction_clause,[],[f319425]) ).
fof(f319425,plain,
( $false
| ~ spl14_6
| ~ spl14_16
| ~ spl14_35
| ~ spl14_144
| ~ spl14_640
| ~ spl14_831 ),
inference(subsumption_resolution,[],[f303450,f319393]) ).
fof(f319393,plain,
( ~ sP0(sK12)
| ~ spl14_6
| ~ spl14_16
| ~ spl14_35
| ~ spl14_144
| ~ spl14_640
| ~ spl14_831 ),
inference(forward_demodulation,[],[f319392,f319227]) ).
fof(f319227,plain,
( ! [X1] : sK12 = X1
| ~ spl14_16
| ~ spl14_35
| ~ spl14_144
| ~ spl14_640
| ~ spl14_831 ),
inference(duplicate_literal_removal,[],[f319226]) ).
fof(f319226,plain,
( ! [X1] :
( sK12 = X1
| sK12 = X1 )
| ~ spl14_16
| ~ spl14_35
| ~ spl14_144
| ~ spl14_640
| ~ spl14_831 ),
inference(forward_demodulation,[],[f319195,f211242]) ).
fof(f319195,plain,
( ! [X1] :
( sK11(sK12) = X1
| sK12 = X1 )
| ~ spl14_16
| ~ spl14_35
| ~ spl14_144
| ~ spl14_640 ),
inference(subsumption_resolution,[],[f319194,f202]) ).
fof(f319194,plain,
( ! [X1] :
( sK11(sK12) = X1
| ~ sP1(X1)
| sK12 = X1 )
| ~ spl14_35
| ~ spl14_144
| ~ spl14_640 ),
inference(subsumption_resolution,[],[f315561,f304644]) ).
fof(f304644,plain,
( ! [X46,X45] :
( sP0(X45)
| X45 = X46
| sK12 = X46 )
| ~ spl14_144
| ~ spl14_640 ),
inference(superposition,[],[f303450,f101]) ).
fof(f315561,plain,
( ! [X1] :
( ~ sP0(sK12)
| sK11(sK12) = X1
| ~ sP1(X1)
| sK12 = X1 )
| ~ spl14_35 ),
inference(superposition,[],[f1262,f1054]) ).
fof(f1054,plain,
( ! [X6] :
( sK12 = sK9(X6)
| sK12 = X6 )
| ~ spl14_35 ),
inference(avatar_component_clause,[],[f1053]) ).
fof(f1053,plain,
( spl14_35
<=> ! [X6] :
( sK12 = sK9(X6)
| sK12 = X6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_35])]) ).
fof(f1262,plain,
! [X0] :
( ~ sP0(sK9(X0))
| sK11(sK9(X0)) = X0
| ~ sP1(X0) ),
inference(resolution,[],[f46,f56]) ).
fof(f56,plain,
! [X0] :
( big_f(sK9(X0),X0)
| ~ sP1(X0) ),
inference(equality_resolution,[],[f43]) ).
fof(f43,plain,
! [X0,X4] :
( big_f(X4,X0)
| sK9(X0) != X4
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f319392,plain,
( ! [X0] : ~ sP0(sK6(X0))
| ~ spl14_6
| ~ spl14_16
| ~ spl14_35
| ~ spl14_144
| ~ spl14_640
| ~ spl14_831 ),
inference(subsumption_resolution,[],[f319267,f319227]) ).
fof(f319267,plain,
( ! [X0] :
( sK12 != X0
| ~ sP0(sK6(X0)) )
| ~ spl14_6
| ~ spl14_16
| ~ spl14_35
| ~ spl14_144
| ~ spl14_640
| ~ spl14_831 ),
inference(backward_demodulation,[],[f80,f319227]) ).
fof(f319166,plain,
( ~ spl14_4
| ~ spl14_6
| ~ spl14_50
| ~ spl14_105
| ~ spl14_108
| ~ spl14_144
| ~ spl14_640
| ~ spl14_788
| ~ spl14_1116 ),
inference(avatar_contradiction_clause,[],[f319165]) ).
fof(f319165,plain,
( $false
| ~ spl14_4
| ~ spl14_6
| ~ spl14_50
| ~ spl14_105
| ~ spl14_108
| ~ spl14_144
| ~ spl14_640
| ~ spl14_788
| ~ spl14_1116 ),
inference(subsumption_resolution,[],[f319164,f318853]) ).
fof(f319164,plain,
( sK5 = sK12
| ~ spl14_4
| ~ spl14_50
| ~ spl14_105
| ~ spl14_144
| ~ spl14_640
| ~ spl14_788 ),
inference(forward_demodulation,[],[f319163,f319111]) ).
fof(f319111,plain,
( sK5 = sK9(sK5)
| ~ spl14_50
| ~ spl14_105 ),
inference(forward_demodulation,[],[f1767,f9106]) ).
fof(f1767,plain,
( sK7 = sK9(sK5)
| ~ spl14_50 ),
inference(avatar_component_clause,[],[f1766]) ).
fof(f1766,plain,
( spl14_50
<=> sK7 = sK9(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_50])]) ).
fof(f319163,plain,
( sK12 = sK9(sK5)
| ~ spl14_4
| ~ spl14_144
| ~ spl14_640
| ~ spl14_788 ),
inference(subsumption_resolution,[],[f318959,f304644]) ).
fof(f318959,plain,
( sK12 = sK9(sK5)
| ~ sP0(sK12)
| ~ spl14_4
| ~ spl14_788 ),
inference(subsumption_resolution,[],[f317003,f72]) ).
fof(f317003,plain,
( ~ sP1(sK5)
| sK12 = sK9(sK5)
| ~ sP0(sK12)
| ~ spl14_788 ),
inference(superposition,[],[f21779,f195801]) ).
fof(f195801,plain,
( sK5 = sK11(sK12)
| ~ spl14_788 ),
inference(avatar_component_clause,[],[f195800]) ).
fof(f21779,plain,
! [X2] :
( ~ sP1(sK11(X2))
| sK9(sK11(X2)) = X2
| ~ sP0(X2) ),
inference(resolution,[],[f42,f57]) ).
fof(f318595,plain,
( ~ spl14_364
| ~ spl14_638
| spl14_789 ),
inference(avatar_contradiction_clause,[],[f318594]) ).
fof(f318594,plain,
( $false
| ~ spl14_364
| ~ spl14_638
| spl14_789 ),
inference(subsumption_resolution,[],[f318593,f195945]) ).
fof(f318593,plain,
( sP1(sK12)
| ~ spl14_364
| ~ spl14_638 ),
inference(forward_demodulation,[],[f44744,f140070]) ).
fof(f140070,plain,
( sK12 = sK9(sK5)
| ~ spl14_638 ),
inference(avatar_component_clause,[],[f140069]) ).
fof(f140069,plain,
( spl14_638
<=> sK12 = sK9(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_638])]) ).
fof(f44744,plain,
( sP1(sK9(sK5))
| ~ spl14_364 ),
inference(avatar_component_clause,[],[f44743]) ).
fof(f44743,plain,
( spl14_364
<=> sP1(sK9(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_364])]) ).
fof(f318516,plain,
( ~ spl14_6
| spl14_15
| ~ spl14_108
| ~ spl14_136
| ~ spl14_183
| spl14_364
| ~ spl14_634
| ~ spl14_638
| spl14_799 ),
inference(avatar_contradiction_clause,[],[f318515]) ).
fof(f318515,plain,
( $false
| ~ spl14_6
| spl14_15
| ~ spl14_108
| ~ spl14_136
| ~ spl14_183
| spl14_364
| ~ spl14_634
| ~ spl14_638
| spl14_799 ),
inference(subsumption_resolution,[],[f318514,f313645]) ).
fof(f313645,plain,
( sP0(sK12)
| ~ spl14_136
| ~ spl14_183
| ~ spl14_634 ),
inference(forward_demodulation,[],[f303920,f313581]) ).
fof(f313581,plain,
( sK12 = sK11(sK5)
| ~ spl14_136
| ~ spl14_634 ),
inference(forward_demodulation,[],[f140050,f15669]) ).
fof(f140050,plain,
( sK12 = sK11(sK13)
| ~ spl14_634 ),
inference(avatar_component_clause,[],[f140049]) ).
fof(f140049,plain,
( spl14_634
<=> sK12 = sK11(sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_634])]) ).
fof(f303920,plain,
( sP0(sK11(sK5))
| ~ spl14_136
| ~ spl14_183 ),
inference(backward_demodulation,[],[f23723,f15669]) ).
fof(f23723,plain,
( sP0(sK11(sK13))
| ~ spl14_183 ),
inference(avatar_component_clause,[],[f23722]) ).
fof(f23722,plain,
( spl14_183
<=> sP0(sK11(sK13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_183])]) ).
fof(f318514,plain,
( ~ sP0(sK12)
| ~ spl14_6
| spl14_15
| ~ spl14_108
| ~ spl14_136
| spl14_364
| ~ spl14_634
| ~ spl14_638
| spl14_799 ),
inference(forward_demodulation,[],[f318513,f318293]) ).
fof(f318293,plain,
( ! [X0] : sK12 = X0
| spl14_15
| ~ spl14_108
| ~ spl14_136
| spl14_364
| ~ spl14_634
| ~ spl14_638
| spl14_799 ),
inference(subsumption_resolution,[],[f318292,f244536]) ).
fof(f318292,plain,
( ! [X0] :
( sK5 != X0
| sK12 = X0 )
| spl14_15
| ~ spl14_108
| ~ spl14_136
| spl14_364
| ~ spl14_634
| ~ spl14_638
| spl14_799 ),
inference(subsumption_resolution,[],[f318271,f313660]) ).
fof(f313660,plain,
( big_f(sK5,sK12)
| ~ spl14_108
| ~ spl14_136
| ~ spl14_634 ),
inference(subsumption_resolution,[],[f313654,f12387]) ).
fof(f313654,plain,
( big_f(sK5,sK12)
| ~ sP0(sK5)
| ~ spl14_136
| ~ spl14_634 ),
inference(superposition,[],[f57,f313581]) ).
fof(f318271,plain,
( ! [X0] :
( sK5 != X0
| ~ big_f(sK5,sK12)
| sK12 = X0 )
| spl14_15
| spl14_364
| ~ spl14_638
| spl14_799 ),
inference(superposition,[],[f318214,f315643]) ).
fof(f315643,plain,
( ! [X8] :
( sK5 = sK8(sK12,X8)
| sK12 = X8 )
| spl14_15
| spl14_364
| ~ spl14_638
| spl14_799 ),
inference(subsumption_resolution,[],[f315628,f198126]) ).
fof(f315628,plain,
( ! [X8] :
( big_f(sK12,sK12)
| sK12 = X8
| sK5 = sK8(sK12,X8) )
| spl14_15
| spl14_364
| ~ spl14_638 ),
inference(superposition,[],[f313902,f244536]) ).
fof(f313902,plain,
( ! [X2] :
( big_f(sK8(sK12,X2),sK12)
| sK8(sK12,X2) = X2 )
| spl14_364
| ~ spl14_638 ),
inference(resolution,[],[f44,f307192]) ).
fof(f307192,plain,
( ~ sP1(sK12)
| spl14_364
| ~ spl14_638 ),
inference(forward_demodulation,[],[f44781,f140070]) ).
fof(f44781,plain,
( ~ sP1(sK9(sK5))
| spl14_364 ),
inference(avatar_component_clause,[],[f44743]) ).
fof(f318214,plain,
( ! [X0] :
( sK8(sK12,X0) != X0
| ~ big_f(sK8(sK12,X0),sK12) )
| spl14_364
| ~ spl14_638 ),
inference(resolution,[],[f45,f307192]) ).
fof(f318513,plain,
( ! [X0] : ~ sP0(sK6(X0))
| ~ spl14_6
| spl14_15
| ~ spl14_108
| ~ spl14_136
| spl14_364
| ~ spl14_634
| ~ spl14_638
| spl14_799 ),
inference(subsumption_resolution,[],[f318296,f318293]) ).
fof(f318296,plain,
( ! [X0] :
( sK12 != X0
| ~ sP0(sK6(X0)) )
| ~ spl14_6
| spl14_15
| ~ spl14_108
| ~ spl14_136
| spl14_364
| ~ spl14_634
| ~ spl14_638
| spl14_799 ),
inference(backward_demodulation,[],[f80,f318293]) ).
fof(f313662,plain,
( spl14_25
| ~ spl14_108
| ~ spl14_136
| ~ spl14_634 ),
inference(avatar_contradiction_clause,[],[f313661]) ).
fof(f313661,plain,
( $false
| spl14_25
| ~ spl14_108
| ~ spl14_136
| ~ spl14_634 ),
inference(subsumption_resolution,[],[f854,f313660]) ).
fof(f310983,plain,
( spl14_1116
| spl14_791
| ~ spl14_6
| spl14_15
| ~ spl14_144
| ~ spl14_640 ),
inference(avatar_split_clause,[],[f310979,f140077,f17529,f198,f79,f196140,f310981]) ).
fof(f310979,plain,
( ! [X3] :
( sK12 = X3
| sK5 = sK6(sK12) )
| ~ spl14_6
| spl14_15
| ~ spl14_144
| ~ spl14_640 ),
inference(duplicate_literal_removal,[],[f310961]) ).
fof(f310961,plain,
( ! [X3] :
( sK12 = X3
| sK12 = X3
| sK5 = sK6(sK12) )
| ~ spl14_6
| spl14_15
| ~ spl14_144
| ~ spl14_640 ),
inference(superposition,[],[f306852,f244536]) ).
fof(f306852,plain,
( ! [X0] :
( sK6(sK12) = X0
| sK12 = X0 )
| ~ spl14_6
| ~ spl14_144
| ~ spl14_640 ),
inference(equality_resolution,[],[f304794]) ).
fof(f304794,plain,
( ! [X16,X17] :
( sK12 != X16
| sK6(X16) = X17
| sK12 = X17 )
| ~ spl14_6
| ~ spl14_144
| ~ spl14_640 ),
inference(subsumption_resolution,[],[f304654,f303450]) ).
fof(f304654,plain,
( ! [X16,X17] :
( ~ sP0(sK12)
| sK12 != X16
| sK6(X16) = X17
| sK12 = X17 )
| ~ spl14_6 ),
inference(superposition,[],[f80,f101]) ).
fof(f303455,plain,
( spl14_14
| ~ spl14_144
| ~ spl14_640 ),
inference(avatar_contradiction_clause,[],[f303454]) ).
fof(f303454,plain,
( $false
| spl14_14
| ~ spl14_144
| ~ spl14_640 ),
inference(subsumption_resolution,[],[f128,f303450]) ).
fof(f303452,plain,
( ~ spl14_144
| spl14_183
| ~ spl14_634
| ~ spl14_640 ),
inference(avatar_contradiction_clause,[],[f303451]) ).
fof(f303451,plain,
( $false
| ~ spl14_144
| spl14_183
| ~ spl14_634
| ~ spl14_640 ),
inference(subsumption_resolution,[],[f303450,f303252]) ).
fof(f303252,plain,
( ~ sP0(sK12)
| spl14_183
| ~ spl14_634 ),
inference(backward_demodulation,[],[f23732,f140050]) ).
fof(f23732,plain,
( ~ sP0(sK11(sK13))
| spl14_183 ),
inference(avatar_component_clause,[],[f23722]) ).
fof(f303412,plain,
( spl14_59
| ~ spl14_633
| ~ spl14_789
| ~ spl14_799
| ~ spl14_819 ),
inference(avatar_contradiction_clause,[],[f303411]) ).
fof(f303411,plain,
( $false
| spl14_59
| ~ spl14_633
| ~ spl14_789
| ~ spl14_799
| ~ spl14_819 ),
inference(subsumption_resolution,[],[f303410,f303251]) ).
fof(f303251,plain,
( sK5 != sK12
| spl14_59
| ~ spl14_633 ),
inference(backward_demodulation,[],[f3725,f140046]) ).
fof(f140046,plain,
( sK12 = sK11(sK7)
| ~ spl14_633 ),
inference(avatar_component_clause,[],[f140045]) ).
fof(f140045,plain,
( spl14_633
<=> sK12 = sK11(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_633])]) ).
fof(f3725,plain,
( sK5 != sK11(sK7)
| spl14_59 ),
inference(avatar_component_clause,[],[f2226]) ).
fof(f303410,plain,
( sK5 = sK12
| ~ spl14_789
| ~ spl14_799
| ~ spl14_819 ),
inference(forward_demodulation,[],[f303409,f205542]) ).
fof(f205542,plain,
( sK5 = sK9(sK12)
| ~ spl14_819 ),
inference(avatar_component_clause,[],[f205541]) ).
fof(f205541,plain,
( spl14_819
<=> sK5 = sK9(sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_819])]) ).
fof(f303409,plain,
( sK12 = sK9(sK12)
| ~ spl14_789
| ~ spl14_799 ),
inference(subsumption_resolution,[],[f303401,f198137]) ).
fof(f198137,plain,
( sP1(sK12)
| ~ spl14_789 ),
inference(avatar_component_clause,[],[f195944]) ).
fof(f303401,plain,
( sK12 = sK9(sK12)
| ~ sP1(sK12)
| ~ spl14_799 ),
inference(resolution,[],[f42,f197852]) ).
fof(f303067,plain,
( ~ spl14_8
| spl14_15
| spl14_144
| ~ spl14_640 ),
inference(avatar_contradiction_clause,[],[f303066]) ).
fof(f303066,plain,
( $false
| ~ spl14_8
| spl14_15
| spl14_144
| ~ spl14_640 ),
inference(subsumption_resolution,[],[f303065,f195775]) ).
fof(f303065,plain,
( sK5 = sK12
| ~ spl14_8
| spl14_144
| ~ spl14_640 ),
inference(subsumption_resolution,[],[f303063,f301656]) ).
fof(f301656,plain,
( ~ sP0(sK12)
| spl14_144
| ~ spl14_640 ),
inference(backward_demodulation,[],[f17535,f140078]) ).
fof(f17535,plain,
( ~ sP0(sK6(sK5))
| spl14_144 ),
inference(avatar_component_clause,[],[f17529]) ).
fof(f303063,plain,
( sP0(sK12)
| sK5 = sK12
| ~ spl14_8
| ~ spl14_640 ),
inference(superposition,[],[f87,f140078]) ).
fof(f302469,plain,
( ~ spl14_5
| spl14_15
| ~ spl14_789 ),
inference(avatar_contradiction_clause,[],[f302468]) ).
fof(f302468,plain,
( $false
| ~ spl14_5
| spl14_15
| ~ spl14_789 ),
inference(subsumption_resolution,[],[f195775,f302265]) ).
fof(f302265,plain,
( ! [X3] : sK5 = X3
| ~ spl14_5
| spl14_15
| ~ spl14_789 ),
inference(subsumption_resolution,[],[f280723,f76]) ).
fof(f280723,plain,
( ! [X3] :
( sP1(X3)
| sK5 = X3 )
| spl14_15
| ~ spl14_789 ),
inference(superposition,[],[f198137,f244536]) ).
fof(f302055,plain,
( ~ spl14_4
| ~ spl14_638
| spl14_821 ),
inference(avatar_contradiction_clause,[],[f302054]) ).
fof(f302054,plain,
( $false
| ~ spl14_4
| ~ spl14_638
| spl14_821 ),
inference(subsumption_resolution,[],[f302053,f72]) ).
fof(f302053,plain,
( ~ sP1(sK5)
| ~ spl14_638
| spl14_821 ),
inference(subsumption_resolution,[],[f302051,f205550]) ).
fof(f302051,plain,
( big_f(sK12,sK5)
| ~ sP1(sK5)
| ~ spl14_638 ),
inference(superposition,[],[f56,f140070]) ).
fof(f301447,plain,
( ~ spl14_9
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_25
| spl14_43
| ~ spl14_51
| ~ spl14_789
| spl14_821 ),
inference(avatar_contradiction_clause,[],[f301446]) ).
fof(f301446,plain,
( $false
| ~ spl14_9
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_25
| spl14_43
| ~ spl14_51
| ~ spl14_789
| spl14_821 ),
inference(subsumption_resolution,[],[f301445,f195775]) ).
fof(f301445,plain,
( sK5 = sK12
| ~ spl14_9
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_25
| spl14_43
| ~ spl14_51
| ~ spl14_789
| spl14_821 ),
inference(subsumption_resolution,[],[f301436,f205550]) ).
fof(f301436,plain,
( big_f(sK12,sK5)
| sK5 = sK12
| ~ spl14_9
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_25
| spl14_43
| ~ spl14_51
| ~ spl14_789 ),
inference(superposition,[],[f295198,f301416]) ).
fof(f301416,plain,
( sK5 = sK10(sK12,sK12)
| ~ spl14_9
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_25
| spl14_43
| ~ spl14_51
| ~ spl14_789 ),
inference(equality_resolution,[],[f301405]) ).
fof(f301405,plain,
( ! [X9] :
( sK12 != X9
| sK5 = sK10(sK12,X9) )
| ~ spl14_9
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_25
| spl14_43
| ~ spl14_51
| ~ spl14_789 ),
inference(subsumption_resolution,[],[f301399,f280717]) ).
fof(f280717,plain,
( big_f(sK12,sK12)
| spl14_15
| spl14_25
| ~ spl14_789 ),
inference(subsumption_resolution,[],[f280713,f198137]) ).
fof(f280713,plain,
( big_f(sK12,sK12)
| ~ sP1(sK12)
| spl14_15
| spl14_25
| ~ spl14_789 ),
inference(superposition,[],[f56,f280712]) ).
fof(f280712,plain,
( sK12 = sK9(sK12)
| spl14_15
| spl14_25
| ~ spl14_789 ),
inference(subsumption_resolution,[],[f280707,f198137]) ).
fof(f280707,plain,
( sK12 = sK9(sK12)
| ~ sP1(sK12)
| spl14_15
| spl14_25 ),
inference(resolution,[],[f222059,f56]) ).
fof(f222059,plain,
( ! [X2] :
( ~ big_f(X2,sK12)
| sK12 = X2 )
| spl14_15
| spl14_25 ),
inference(subsumption_resolution,[],[f221739,f195775]) ).
fof(f221739,plain,
( ! [X2] :
( ~ big_f(X2,sK12)
| sK5 = sK12
| sK12 = X2 )
| spl14_25 ),
inference(superposition,[],[f854,f101]) ).
fof(f301399,plain,
( ! [X9] :
( sK12 != X9
| ~ big_f(sK12,sK12)
| sK5 = sK10(sK12,X9) )
| ~ spl14_9
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_43
| ~ spl14_51 ),
inference(superposition,[],[f295199,f300462]) ).
fof(f300462,plain,
( ! [X0] :
( sK12 = X0
| sK5 = X0 )
| ~ spl14_9
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_43
| ~ spl14_51 ),
inference(forward_demodulation,[],[f300461,f280698]) ).
fof(f280698,plain,
( sK12 = sK4(sK5)
| ~ spl14_9
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_43 ),
inference(resolution,[],[f196128,f1655]) ).
fof(f1655,plain,
( ~ sP0(sK4(sK5))
| spl14_43 ),
inference(avatar_component_clause,[],[f1654]) ).
fof(f1654,plain,
( spl14_43
<=> sP0(sK4(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_43])]) ).
fof(f196128,plain,
( ! [X5] :
( sP0(X5)
| sK12 = X5 )
| ~ spl14_9
| ~ spl14_10
| ~ spl14_12
| spl14_15 ),
inference(subsumption_resolution,[],[f196020,f195775]) ).
fof(f196020,plain,
( ! [X5] :
( sP0(X5)
| sK12 = X5
| sK5 = sK12 )
| ~ spl14_9
| ~ spl14_10
| ~ spl14_12
| spl14_15 ),
inference(superposition,[],[f195821,f101]) ).
fof(f195821,plain,
( sP0(sK5)
| ~ spl14_9
| ~ spl14_10
| ~ spl14_12
| spl14_15 ),
inference(backward_demodulation,[],[f92,f195818]) ).
fof(f195818,plain,
( sK5 = sK7
| ~ spl14_10
| ~ spl14_12
| spl14_15 ),
inference(equality_resolution,[],[f195814]) ).
fof(f195814,plain,
( ! [X0] :
( sK5 != X0
| sK7 = X0 )
| ~ spl14_10
| ~ spl14_12
| spl14_15 ),
inference(superposition,[],[f195775,f189415]) ).
fof(f189415,plain,
( ! [X2] :
( sK12 = X2
| sK7 = X2 )
| ~ spl14_10
| ~ spl14_12 ),
inference(forward_demodulation,[],[f53,f189388]) ).
fof(f189388,plain,
( sK7 = sK13
| ~ spl14_10
| ~ spl14_12 ),
inference(resolution,[],[f96,f1036]) ).
fof(f1036,plain,
( sP0(sK13)
| ~ spl14_12 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f92,plain,
( sP0(sK7)
| ~ spl14_9 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f91,plain,
( spl14_9
<=> sP0(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_9])]) ).
fof(f300461,plain,
( ! [X0] :
( sK4(sK5) = X0
| sK5 = X0 )
| ~ spl14_51 ),
inference(equality_resolution,[],[f1773]) ).
fof(f1773,plain,
( ! [X3,X4] :
( sK5 != X3
| sK4(X3) = X4
| sK5 = X4 )
| ~ spl14_51 ),
inference(avatar_component_clause,[],[f1772]) ).
fof(f1772,plain,
( spl14_51
<=> ! [X4,X3] :
( sK5 != X3
| sK4(X3) = X4
| sK5 = X4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_51])]) ).
fof(f295199,plain,
( ! [X1] :
( sK10(sK12,X1) != X1
| ~ big_f(sK12,sK10(sK12,X1)) )
| ~ spl14_9
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_43 ),
inference(resolution,[],[f280701,f49]) ).
fof(f280701,plain,
( ~ sP0(sK12)
| ~ spl14_9
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_43 ),
inference(backward_demodulation,[],[f1655,f280698]) ).
fof(f295198,plain,
( ! [X0] :
( big_f(sK12,sK10(sK12,X0))
| sK10(sK12,X0) = X0 )
| ~ spl14_9
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_43 ),
inference(resolution,[],[f280701,f48]) ).
fof(f286105,plain,
( spl14_25
| ~ spl14_86
| ~ spl14_636 ),
inference(avatar_contradiction_clause,[],[f286104]) ).
fof(f286104,plain,
( $false
| spl14_25
| ~ spl14_86
| ~ spl14_636 ),
inference(subsumption_resolution,[],[f286103,f854]) ).
fof(f286103,plain,
( big_f(sK5,sK12)
| ~ spl14_86
| ~ spl14_636 ),
inference(forward_demodulation,[],[f5576,f140059]) ).
fof(f5576,plain,
( big_f(sK5,sK10(sK5,sK5))
| ~ spl14_86 ),
inference(avatar_component_clause,[],[f5575]) ).
fof(f281005,plain,
( ~ spl14_1
| spl14_15
| ~ spl14_16
| spl14_25
| ~ spl14_571
| ~ spl14_789
| ~ spl14_821 ),
inference(avatar_contradiction_clause,[],[f281004]) ).
fof(f281004,plain,
( $false
| ~ spl14_1
| spl14_15
| ~ spl14_16
| spl14_25
| ~ spl14_571
| ~ spl14_789
| ~ spl14_821 ),
inference(subsumption_resolution,[],[f281003,f198137]) ).
fof(f281003,plain,
( ~ sP1(sK12)
| ~ spl14_1
| spl14_15
| ~ spl14_16
| spl14_25
| ~ spl14_571
| ~ spl14_789
| ~ spl14_821 ),
inference(forward_demodulation,[],[f281002,f280828]) ).
fof(f280828,plain,
( ! [X4] : sK12 = X4
| spl14_15
| ~ spl14_16
| spl14_25
| ~ spl14_571
| ~ spl14_789
| ~ spl14_821 ),
inference(subsumption_resolution,[],[f280826,f202]) ).
fof(f280826,plain,
( ! [X4] :
( sK12 = X4
| ~ sP1(X4) )
| spl14_15
| spl14_25
| ~ spl14_571
| ~ spl14_789
| ~ spl14_821 ),
inference(duplicate_literal_removal,[],[f280817]) ).
fof(f280817,plain,
( ! [X4] :
( sK12 = X4
| ~ sP1(X4)
| sK12 = X4 )
| spl14_15
| spl14_25
| ~ spl14_571
| ~ spl14_789
| ~ spl14_821 ),
inference(resolution,[],[f280744,f222054]) ).
fof(f222054,plain,
( ! [X10] :
( big_f(sK12,X10)
| sK12 = X10 )
| spl14_15
| ~ spl14_821 ),
inference(subsumption_resolution,[],[f221745,f195775]) ).
fof(f221745,plain,
( ! [X10] :
( big_f(sK12,X10)
| sK5 = sK12
| sK12 = X10 )
| ~ spl14_821 ),
inference(superposition,[],[f211614,f101]) ).
fof(f280744,plain,
( ! [X0,X4] :
( ~ big_f(X4,X0)
| X0 = X4
| ~ sP1(X0) )
| spl14_15
| spl14_25
| ~ spl14_571
| ~ spl14_789 ),
inference(backward_demodulation,[],[f42,f280743]) ).
fof(f280743,plain,
( ! [X14] : sK9(X14) = X14
| spl14_15
| spl14_25
| ~ spl14_571
| ~ spl14_789 ),
inference(subsumption_resolution,[],[f280730,f120942]) ).
fof(f120942,plain,
( ! [X73] :
( sK5 != X73
| sK9(X73) = X73 )
| ~ spl14_571 ),
inference(avatar_component_clause,[],[f120941]) ).
fof(f120941,plain,
( spl14_571
<=> ! [X73] :
( sK5 != X73
| sK9(X73) = X73 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_571])]) ).
fof(f280730,plain,
( ! [X14] :
( sK9(X14) = X14
| sK5 = X14 )
| spl14_15
| spl14_25
| ~ spl14_789 ),
inference(superposition,[],[f280712,f244536]) ).
fof(f281002,plain,
( ! [X0] : ~ sP1(sK4(X0))
| ~ spl14_1
| spl14_15
| ~ spl14_16
| spl14_25
| ~ spl14_571
| ~ spl14_789
| ~ spl14_821 ),
inference(subsumption_resolution,[],[f280829,f280828]) ).
fof(f280829,plain,
( ! [X0] :
( sK12 != X0
| ~ sP1(sK4(X0)) )
| ~ spl14_1
| spl14_15
| ~ spl14_16
| spl14_25
| ~ spl14_571
| ~ spl14_789
| ~ spl14_821 ),
inference(backward_demodulation,[],[f60,f280828]) ).
fof(f60,plain,
( ! [X0] :
( sK4(X0) != X0
| ~ sP1(sK4(X0)) )
| ~ spl14_1 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f59,plain,
( spl14_1
<=> ! [X0] :
( sK4(X0) != X0
| ~ sP1(sK4(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1])]) ).
fof(f280202,plain,
( ~ spl14_9
| ~ spl14_10
| ~ spl14_12
| spl14_15
| ~ spl14_822
| ~ spl14_953 ),
inference(avatar_contradiction_clause,[],[f280201]) ).
fof(f280201,plain,
( $false
| ~ spl14_9
| ~ spl14_10
| ~ spl14_12
| spl14_15
| ~ spl14_822
| ~ spl14_953 ),
inference(subsumption_resolution,[],[f195775,f280180]) ).
fof(f280180,plain,
( ! [X2] : sK5 = X2
| ~ spl14_9
| ~ spl14_10
| ~ spl14_12
| spl14_15
| ~ spl14_822
| ~ spl14_953 ),
inference(subsumption_resolution,[],[f280057,f195822]) ).
fof(f195822,plain,
( ! [X3] :
( ~ sP0(X3)
| sK5 = X3 )
| ~ spl14_10
| ~ spl14_12
| spl14_15 ),
inference(backward_demodulation,[],[f96,f195818]) ).
fof(f280057,plain,
( ! [X2] :
( sK5 = X2
| sP0(X2) )
| ~ spl14_9
| ~ spl14_10
| ~ spl14_12
| spl14_15
| ~ spl14_822
| ~ spl14_953 ),
inference(backward_demodulation,[],[f226986,f254364]) ).
fof(f254364,plain,
( ! [X14,X15] : sK8(X14,X15) = X15
| ~ spl14_953 ),
inference(avatar_component_clause,[],[f254363]) ).
fof(f254363,plain,
( spl14_953
<=> ! [X14,X15] : sK8(X14,X15) = X15 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_953])]) ).
fof(f226986,plain,
( ! [X2] :
( sP0(X2)
| sK5 = sK8(sK5,X2) )
| ~ spl14_9
| ~ spl14_10
| ~ spl14_12
| spl14_15
| ~ spl14_822 ),
inference(subsumption_resolution,[],[f226869,f195775]) ).
fof(f226869,plain,
( ! [X2] :
( sP0(X2)
| sK5 = sK8(sK5,X2)
| sK5 = sK12 )
| ~ spl14_9
| ~ spl14_10
| ~ spl14_12
| spl14_15
| ~ spl14_822 ),
inference(superposition,[],[f195821,f221837]) ).
fof(f221837,plain,
( ! [X21,X22] :
( sK5 = sK8(sK5,X21)
| X21 = X22
| sK12 = X22 )
| ~ spl14_822 ),
inference(superposition,[],[f221527,f101]) ).
fof(f221527,plain,
( sK5 = sK8(sK5,sK12)
| ~ spl14_822 ),
inference(equality_resolution,[],[f205553]) ).
fof(f205553,plain,
( ! [X10] :
( sK12 != X10
| sK5 = sK8(sK5,X10) )
| ~ spl14_822 ),
inference(avatar_component_clause,[],[f205552]) ).
fof(f205552,plain,
( spl14_822
<=> ! [X10] :
( sK12 != X10
| sK5 = sK8(sK5,X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_822])]) ).
fof(f279995,plain,
( ~ spl14_4
| spl14_51
| ~ spl14_1
| ~ spl14_10
| ~ spl14_12
| spl14_15 ),
inference(avatar_split_clause,[],[f200863,f198,f111,f95,f59,f1772,f71]) ).
fof(f200863,plain,
( ! [X14,X13] :
( sK5 != X13
| ~ sP1(sK5)
| sK5 = X14
| sK4(X13) = X14 )
| ~ spl14_1
| ~ spl14_10
| ~ spl14_12
| spl14_15 ),
inference(superposition,[],[f60,f195887]) ).
fof(f195887,plain,
( ! [X0,X1] :
( sK5 = X1
| sK5 = X0
| X0 = X1 )
| ~ spl14_10
| ~ spl14_12
| spl14_15 ),
inference(forward_demodulation,[],[f195856,f195818]) ).
fof(f195856,plain,
( ! [X0,X1] :
( sK5 = X0
| X0 = X1
| sK7 = X1 )
| ~ spl14_10
| ~ spl14_12
| spl14_15 ),
inference(backward_demodulation,[],[f195749,f195818]) ).
fof(f195749,plain,
( ! [X0,X1] :
( X0 = X1
| sK7 = X1
| sK7 = X0 )
| ~ spl14_10
| ~ spl14_12 ),
inference(superposition,[],[f189415,f189415]) ).
fof(f279993,plain,
( spl14_791
| ~ spl14_4
| ~ spl14_1
| spl14_15
| ~ spl14_805 ),
inference(avatar_split_clause,[],[f279992,f200661,f198,f59,f71,f196140]) ).
fof(f200661,plain,
( spl14_805
<=> ! [X0] :
( sK12 = X0
| sK4(X0) = sK5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_805])]) ).
fof(f279992,plain,
( ! [X1] :
( ~ sP1(sK5)
| sK12 = X1 )
| ~ spl14_1
| spl14_15
| ~ spl14_805 ),
inference(subsumption_resolution,[],[f205618,f244536]) ).
fof(f205618,plain,
( ! [X1] :
( sK5 != X1
| ~ sP1(sK5)
| sK12 = X1 )
| ~ spl14_1
| ~ spl14_805 ),
inference(superposition,[],[f60,f200662]) ).
fof(f200662,plain,
( ! [X0] :
( sK4(X0) = sK5
| sK12 = X0 )
| ~ spl14_805 ),
inference(avatar_component_clause,[],[f200661]) ).
fof(f279650,plain,
( spl14_15
| ~ spl14_29 ),
inference(avatar_contradiction_clause,[],[f279649]) ).
fof(f279649,plain,
( $false
| spl14_15
| ~ spl14_29 ),
inference(subsumption_resolution,[],[f195775,f1025]) ).
fof(f1025,plain,
( ! [X39] : sK5 = X39
| ~ spl14_29 ),
inference(avatar_component_clause,[],[f1024]) ).
fof(f1024,plain,
( spl14_29
<=> ! [X39] : sK5 = X39 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_29])]) ).
fof(f278063,plain,
( spl14_15
| spl14_799
| ~ spl14_10
| ~ spl14_12
| spl14_15
| ~ spl14_899 ),
inference(avatar_split_clause,[],[f277431,f229674,f198,f111,f95,f197851,f198]) ).
fof(f277431,plain,
( big_f(sK12,sK12)
| sK5 = sK12
| ~ spl14_10
| ~ spl14_12
| spl14_15
| ~ spl14_899 ),
inference(duplicate_literal_removal,[],[f277412]) ).
fof(f277412,plain,
( big_f(sK12,sK12)
| sK5 = sK12
| sK5 = sK12
| ~ spl14_10
| ~ spl14_12
| spl14_15
| ~ spl14_899 ),
inference(superposition,[],[f195849,f229675]) ).
fof(f195849,plain,
( ! [X6,X7] :
( big_f(X6,sK10(X6,X7))
| sK10(X6,X7) = X7
| sK5 = X6 )
| ~ spl14_10
| ~ spl14_12
| spl14_15 ),
inference(backward_demodulation,[],[f195011,f195818]) ).
fof(f195011,plain,
( ! [X6,X7] :
( sK10(X6,X7) = X7
| big_f(X6,sK10(X6,X7))
| sK7 = X6 )
| ~ spl14_10 ),
inference(resolution,[],[f48,f96]) ).
fof(f273242,plain,
( ~ spl14_10
| ~ spl14_12
| spl14_15
| ~ spl14_821
| ~ spl14_1004 ),
inference(avatar_contradiction_clause,[],[f273241]) ).
fof(f273241,plain,
( $false
| ~ spl14_10
| ~ spl14_12
| spl14_15
| ~ spl14_821
| ~ spl14_1004 ),
inference(subsumption_resolution,[],[f195775,f273064]) ).
fof(f273064,plain,
( ! [X10] : sK12 = X10
| ~ spl14_10
| ~ spl14_12
| spl14_15
| ~ spl14_821
| ~ spl14_1004 ),
inference(subsumption_resolution,[],[f222054,f272585]) ).
fof(f272585,plain,
( ! [X0] : ~ big_f(sK12,X0)
| ~ spl14_10
| ~ spl14_12
| spl14_15
| ~ spl14_1004 ),
inference(subsumption_resolution,[],[f272571,f195775]) ).
fof(f272571,plain,
( ! [X0] :
( ~ big_f(sK12,X0)
| sK5 = sK12 )
| ~ spl14_10
| ~ spl14_12
| spl14_15
| ~ spl14_1004 ),
inference(trivial_inequality_removal,[],[f272568]) ).
fof(f272568,plain,
( ! [X0] :
( X0 != X0
| ~ big_f(sK12,X0)
| sK5 = sK12 )
| ~ spl14_10
| ~ spl14_12
| spl14_15
| ~ spl14_1004 ),
inference(superposition,[],[f197978,f267369]) ).
fof(f267369,plain,
( ! [X47] : sK10(sK12,X47) = X47
| ~ spl14_1004 ),
inference(avatar_component_clause,[],[f267368]) ).
fof(f267368,plain,
( spl14_1004
<=> ! [X47] : sK10(sK12,X47) = X47 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1004])]) ).
fof(f197978,plain,
( ! [X14,X13] :
( sK10(X13,X14) != X14
| ~ big_f(X13,sK10(X13,X14))
| sK5 = X13 )
| ~ spl14_10
| ~ spl14_12
| spl14_15 ),
inference(resolution,[],[f49,f195822]) ).
fof(f272523,plain,
( ~ spl14_1
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_789
| ~ spl14_821
| ~ spl14_1003 ),
inference(avatar_contradiction_clause,[],[f272522]) ).
fof(f272522,plain,
( $false
| ~ spl14_1
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_789
| ~ spl14_821
| ~ spl14_1003 ),
inference(subsumption_resolution,[],[f272521,f195775]) ).
fof(f272521,plain,
( sK5 = sK12
| ~ spl14_1
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_789
| ~ spl14_821
| ~ spl14_1003 ),
inference(subsumption_resolution,[],[f272520,f211614]) ).
fof(f272520,plain,
( ~ big_f(sK12,sK5)
| sK5 = sK12
| ~ spl14_1
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_789
| ~ spl14_821
| ~ spl14_1003 ),
inference(trivial_inequality_removal,[],[f272491]) ).
fof(f272491,plain,
( sK5 != sK5
| ~ big_f(sK12,sK5)
| sK5 = sK12
| ~ spl14_1
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_789
| ~ spl14_821
| ~ spl14_1003 ),
inference(superposition,[],[f197978,f267447]) ).
fof(f267447,plain,
( sK5 = sK10(sK12,sK5)
| ~ spl14_1
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_789
| ~ spl14_821
| ~ spl14_1003 ),
inference(resolution,[],[f267438,f211614]) ).
fof(f267438,plain,
( ! [X6,X5] :
( ~ big_f(X6,X5)
| sK5 = sK10(sK12,X5) )
| ~ spl14_1
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_789
| ~ spl14_1003 ),
inference(trivial_inequality_removal,[],[f267421]) ).
fof(f267421,plain,
( ! [X6,X5] :
( X6 != X6
| ~ big_f(X6,X5)
| sK5 = sK10(sK12,X5) )
| ~ spl14_1
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_789
| ~ spl14_1003 ),
inference(superposition,[],[f205982,f267364]) ).
fof(f267364,plain,
( ! [X45,X43] :
( sK8(X43,X45) = X45
| sK5 = sK10(sK12,X43) )
| ~ spl14_1003 ),
inference(avatar_component_clause,[],[f267363]) ).
fof(f267363,plain,
( spl14_1003
<=> ! [X45,X43] :
( sK8(X43,X45) = X45
| sK5 = sK10(sK12,X43) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1003])]) ).
fof(f205982,plain,
( ! [X0,X1] :
( sK8(X0,X1) != X1
| ~ big_f(sK8(X0,X1),X0) )
| ~ spl14_1
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_789 ),
inference(subsumption_resolution,[],[f45,f205715]) ).
fof(f205715,plain,
( ! [X0] : ~ sP1(X0)
| ~ spl14_1
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_789 ),
inference(forward_demodulation,[],[f205714,f205704]) ).
fof(f205704,plain,
( ! [X0] : sK4(X0) = X0
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_789 ),
inference(subsumption_resolution,[],[f205700,f198564]) ).
fof(f198564,plain,
( ! [X0,X1] :
( sK5 = X0
| sK4(X1) = X0
| sK4(X1) = X1 )
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15 ),
inference(resolution,[],[f198160,f67]) ).
fof(f67,plain,
( ! [X0] :
( sP1(sK4(X0))
| sK4(X0) = X0 )
| ~ spl14_3 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f66,plain,
( spl14_3
<=> ! [X0] :
( sK4(X0) = X0
| sP1(sK4(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_3])]) ).
fof(f198160,plain,
( ! [X4,X5] :
( ~ sP1(X4)
| sK5 = X5
| X4 = X5 )
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15 ),
inference(superposition,[],[f1756,f195887]) ).
fof(f1756,plain,
( ~ sP1(sK5)
| spl14_4 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f205700,plain,
( ! [X0] :
( sK5 != X0
| sK4(X0) = X0 )
| ~ spl14_3
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_789 ),
inference(equality_factoring,[],[f205601]) ).
fof(f205601,plain,
( ! [X0] :
( sK4(X0) = sK5
| sK4(X0) = X0 )
| ~ spl14_3
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_789 ),
inference(resolution,[],[f205595,f67]) ).
fof(f205595,plain,
( ! [X0] :
( ~ sP1(X0)
| sK5 = X0 )
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_789 ),
inference(superposition,[],[f195945,f195845]) ).
fof(f195845,plain,
( ! [X2] :
( sK12 = X2
| sK5 = X2 )
| ~ spl14_10
| ~ spl14_12
| spl14_15 ),
inference(backward_demodulation,[],[f189415,f195818]) ).
fof(f205714,plain,
( ! [X0] : ~ sP1(sK4(X0))
| ~ spl14_1
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_789 ),
inference(trivial_inequality_removal,[],[f205705]) ).
fof(f205705,plain,
( ! [X0] :
( X0 != X0
| ~ sP1(sK4(X0)) )
| ~ spl14_1
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_789 ),
inference(backward_demodulation,[],[f60,f205704]) ).
fof(f267370,plain,
( spl14_1004
| spl14_1003
| ~ spl14_1
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_25
| spl14_789
| ~ spl14_901
| ~ spl14_937
| ~ spl14_990 ),
inference(avatar_split_clause,[],[f267366,f261004,f246787,f229691,f195944,f853,f198,f111,f95,f71,f66,f59,f267363,f267368]) ).
fof(f246787,plain,
( spl14_937
<=> ! [X130,X129] :
( sK12 != X129
| sK8(X129,X130) = X130 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_937])]) ).
fof(f261004,plain,
( spl14_990
<=> ! [X45,X48,X49] :
( X45 = X48
| X45 = X49
| X48 = X49 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_990])]) ).
fof(f267366,plain,
( ! [X48,X46,X47] :
( sK8(X46,X48) = X48
| sK10(sK12,X47) = X47
| sK5 = sK10(sK12,X46) )
| ~ spl14_1
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_25
| spl14_789
| ~ spl14_901
| ~ spl14_937
| ~ spl14_990 ),
inference(subsumption_resolution,[],[f267336,f267080]) ).
fof(f267080,plain,
( ! [X174,X175,X173] :
( X173 != X174
| sK8(X174,X175) = X175
| sK10(sK12,X173) = X173 )
| spl14_15
| ~ spl14_901
| ~ spl14_937
| ~ spl14_990 ),
inference(subsumption_resolution,[],[f267021,f195775]) ).
fof(f267021,plain,
( ! [X174,X175,X173] :
( X173 != X174
| sK8(X174,X175) = X175
| sK10(sK12,X173) = X173
| sK5 = sK12 )
| ~ spl14_901
| ~ spl14_937
| ~ spl14_990 ),
inference(superposition,[],[f246788,f265814]) ).
fof(f265814,plain,
( ! [X31,X32] :
( sK10(sK12,X31) = X31
| sK5 = X32
| X31 = X32 )
| ~ spl14_901
| ~ spl14_990 ),
inference(superposition,[],[f230433,f261005]) ).
fof(f261005,plain,
( ! [X48,X49,X45] :
( X45 = X48
| X45 = X49
| X48 = X49 )
| ~ spl14_990 ),
inference(avatar_component_clause,[],[f261004]) ).
fof(f246788,plain,
( ! [X130,X129] :
( sK12 != X129
| sK8(X129,X130) = X130 )
| ~ spl14_937 ),
inference(avatar_component_clause,[],[f246787]) ).
fof(f267336,plain,
( ! [X48,X46,X47] :
( X46 = X47
| sK8(X46,X48) = X48
| sK10(sK12,X47) = X47
| sK5 = sK10(sK12,X46) )
| ~ spl14_1
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_25
| spl14_789
| ~ spl14_901
| ~ spl14_990 ),
inference(superposition,[],[f267071,f265814]) ).
fof(f267071,plain,
( ! [X150,X151] :
( sK8(X150,X151) = X151
| sK10(sK12,X150) = X150 )
| ~ spl14_1
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_25
| spl14_789
| ~ spl14_901
| ~ spl14_990 ),
inference(subsumption_resolution,[],[f267011,f195775]) ).
fof(f267011,plain,
( ! [X150,X151] :
( sK8(X150,X151) = X151
| sK10(sK12,X150) = X150
| sK5 = sK12 )
| ~ spl14_1
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_25
| spl14_789
| ~ spl14_901
| ~ spl14_990 ),
inference(superposition,[],[f223467,f265814]) ).
fof(f223467,plain,
( ! [X0] : sK8(sK12,X0) = X0
| ~ spl14_1
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_25
| spl14_789 ),
inference(subsumption_resolution,[],[f223466,f223398]) ).
fof(f223398,plain,
( ! [X0] :
( sK12 != X0
| sK8(sK12,X0) = X0 )
| ~ spl14_1
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_25
| spl14_789 ),
inference(equality_factoring,[],[f223282]) ).
fof(f223282,plain,
( ! [X8] :
( sK8(sK12,X8) = X8
| sK12 = sK8(sK12,X8) )
| ~ spl14_1
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_25
| spl14_789 ),
inference(resolution,[],[f205983,f222059]) ).
fof(f205983,plain,
( ! [X0,X1] :
( big_f(sK8(X0,X1),X0)
| sK8(X0,X1) = X1 )
| ~ spl14_1
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_789 ),
inference(subsumption_resolution,[],[f44,f205715]) ).
fof(f223466,plain,
( ! [X0] :
( sK12 = X0
| sK8(sK12,X0) = X0 )
| ~ spl14_1
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_25
| spl14_789 ),
inference(subsumption_resolution,[],[f223393,f223436]) ).
fof(f223436,plain,
( ~ big_f(sK12,sK12)
| ~ spl14_1
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_25
| spl14_789 ),
inference(trivial_inequality_removal,[],[f223434]) ).
fof(f223434,plain,
( sK12 != sK12
| ~ big_f(sK12,sK12)
| ~ spl14_1
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_25
| spl14_789 ),
inference(superposition,[],[f205982,f223415]) ).
fof(f223415,plain,
( sK12 = sK8(sK12,sK12)
| ~ spl14_1
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_25
| spl14_789 ),
inference(equality_resolution,[],[f223397]) ).
fof(f223397,plain,
( ! [X0] :
( sK12 != X0
| sK12 = sK8(sK12,X0) )
| ~ spl14_1
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_25
| spl14_789 ),
inference(equality_factoring,[],[f223282]) ).
fof(f223393,plain,
( ! [X0] :
( big_f(sK12,sK12)
| sK12 = X0
| sK8(sK12,X0) = X0 )
| ~ spl14_1
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_25
| spl14_789 ),
inference(superposition,[],[f205983,f223282]) ).
fof(f265645,plain,
( ~ spl14_1
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_25
| ~ spl14_725
| spl14_789
| ~ spl14_822
| spl14_899 ),
inference(avatar_contradiction_clause,[],[f265644]) ).
fof(f265644,plain,
( $false
| ~ spl14_1
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_25
| ~ spl14_725
| spl14_789
| ~ spl14_822
| spl14_899 ),
inference(subsumption_resolution,[],[f265575,f265344]) ).
fof(f265344,plain,
( ! [X1] : sK5 = X1
| ~ spl14_1
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_25
| ~ spl14_725
| spl14_789
| ~ spl14_822 ),
inference(subsumption_resolution,[],[f178982,f224792]) ).
fof(f224792,plain,
( ! [X0,X1] :
( sK5 = sK8(X1,X0)
| X0 = X1
| sK5 = X0 )
| ~ spl14_1
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_25
| spl14_789
| ~ spl14_822 ),
inference(superposition,[],[f224750,f224633]) ).
fof(f224633,plain,
( ! [X7] :
( sK12 = X7
| sK5 = X7 )
| ~ spl14_1
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_25
| spl14_789 ),
inference(forward_demodulation,[],[f224623,f223467]) ).
fof(f224623,plain,
( ! [X7] :
( sK12 = X7
| sK5 = sK8(sK12,X7) )
| ~ spl14_1
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_25
| spl14_789 ),
inference(resolution,[],[f215804,f224350]) ).
fof(f224350,plain,
( ! [X1] : ~ big_f(X1,sK12)
| ~ spl14_1
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_25
| spl14_789 ),
inference(trivial_inequality_removal,[],[f224335]) ).
fof(f224335,plain,
( ! [X1] :
( X1 != X1
| ~ big_f(X1,sK12) )
| ~ spl14_1
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_25
| spl14_789 ),
inference(superposition,[],[f205982,f223467]) ).
fof(f215804,plain,
( ! [X18,X17] :
( big_f(sK12,X17)
| sK12 = X18
| sK5 = sK8(X17,X18) )
| ~ spl14_1
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_789 ),
inference(superposition,[],[f205983,f195845]) ).
fof(f224750,plain,
( ! [X10] :
( sK5 = sK8(X10,sK12)
| sK12 = X10 )
| ~ spl14_1
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_25
| spl14_789
| ~ spl14_822 ),
inference(duplicate_literal_removal,[],[f224733]) ).
fof(f224733,plain,
( ! [X10] :
( sK12 = X10
| sK12 = X10
| sK5 = sK8(X10,sK12) )
| ~ spl14_1
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_25
| spl14_789
| ~ spl14_822 ),
inference(superposition,[],[f222048,f224633]) ).
fof(f222048,plain,
( ! [X18] :
( sK8(X18,sK12) = X18
| sK12 = X18 )
| spl14_15
| ~ spl14_822 ),
inference(subsumption_resolution,[],[f221751,f195775]) ).
fof(f221751,plain,
( ! [X18] :
( sK8(X18,sK12) = X18
| sK5 = sK12
| sK12 = X18 )
| ~ spl14_822 ),
inference(superposition,[],[f221527,f101]) ).
fof(f178982,plain,
( ! [X1] :
( sK5 != sK8(sK5,X1)
| sK5 = X1 )
| ~ spl14_725 ),
inference(avatar_component_clause,[],[f178981]) ).
fof(f178981,plain,
( spl14_725
<=> ! [X1] :
( sK5 != sK8(sK5,X1)
| sK5 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_725])]) ).
fof(f265575,plain,
( sK5 != sK12
| ~ spl14_1
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_25
| ~ spl14_725
| spl14_789
| ~ spl14_822
| spl14_899 ),
inference(backward_demodulation,[],[f230448,f265344]) ).
fof(f230448,plain,
( sK12 != sK10(sK12,sK5)
| spl14_899 ),
inference(avatar_component_clause,[],[f229674]) ).
fof(f261008,plain,
( spl14_990
| spl14_953
| ~ spl14_1
| ~ spl14_3
| spl14_4
| ~ spl14_9
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_25
| spl14_789
| ~ spl14_937
| ~ spl14_967 ),
inference(avatar_split_clause,[],[f261007,f259648,f246787,f195944,f853,f198,f111,f95,f91,f71,f66,f59,f254363,f261004]) ).
fof(f259648,plain,
( spl14_967
<=> ! [X6,X5,X7] :
( X5 = X6
| sK12 = X5
| X6 = X7
| X5 = X7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_967])]) ).
fof(f261007,plain,
( ! [X73,X76,X77,X74,X75] :
( sK8(X74,X75) = X75
| X73 = X76
| X76 = X77
| X73 = X77 )
| ~ spl14_1
| ~ spl14_3
| spl14_4
| ~ spl14_9
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_25
| spl14_789
| ~ spl14_937
| ~ spl14_967 ),
inference(subsumption_resolution,[],[f260399,f260146]) ).
fof(f260146,plain,
( ! [X21,X18,X19,X16,X17,X20] :
( X16 = X17
| X17 = X18
| X18 = X19
| X17 = X19
| sK8(X20,X21) = X21
| X16 = X20 )
| ~ spl14_1
| ~ spl14_3
| spl14_4
| ~ spl14_9
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_25
| spl14_789
| ~ spl14_967 ),
inference(superposition,[],[f259649,f251734]) ).
fof(f251734,plain,
( ! [X28,X26,X27] :
( sK8(X26,X27) = X27
| X26 = X28
| sK12 = X28 )
| ~ spl14_1
| ~ spl14_3
| spl14_4
| ~ spl14_9
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_25
| spl14_789 ),
inference(superposition,[],[f223467,f247311]) ).
fof(f247311,plain,
( ! [X31,X32] :
( X31 = X32
| sK12 = X31
| sK12 = X32 )
| ~ spl14_1
| ~ spl14_3
| spl14_4
| ~ spl14_9
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_25
| spl14_789 ),
inference(duplicate_literal_removal,[],[f247291]) ).
fof(f247291,plain,
( ! [X31,X32] :
( X31 = X32
| sK12 = X31
| sK12 = X32
| sK12 = X31 )
| ~ spl14_1
| ~ spl14_3
| spl14_4
| ~ spl14_9
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_25
| spl14_789 ),
inference(resolution,[],[f222049,f225221]) ).
fof(f225221,plain,
( ! [X8,X9] :
( big_f(X8,X9)
| sK12 = X9
| sK12 = X8 )
| ~ spl14_1
| ~ spl14_3
| spl14_4
| ~ spl14_9
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_25
| spl14_789 ),
inference(subsumption_resolution,[],[f225186,f196128]) ).
fof(f225186,plain,
( ! [X8,X9] :
( big_f(X8,X9)
| ~ sP0(X8)
| sK12 = X9
| sK12 = X8 )
| ~ spl14_1
| ~ spl14_3
| spl14_4
| ~ spl14_9
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_25
| spl14_789 ),
inference(superposition,[],[f57,f224848]) ).
fof(f224848,plain,
( ! [X2,X1] :
( sK11(X1) = X2
| sK12 = X2
| sK12 = X1 )
| ~ spl14_1
| ~ spl14_3
| spl14_4
| ~ spl14_9
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_25
| spl14_789 ),
inference(resolution,[],[f224678,f196128]) ).
fof(f224678,plain,
( ! [X41,X42] :
( ~ sP0(X41)
| sK11(X41) = X42
| sK12 = X42 )
| ~ spl14_1
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_25
| spl14_789 ),
inference(subsumption_resolution,[],[f221862,f224350]) ).
fof(f221862,plain,
! [X41,X42] :
( big_f(X41,sK12)
| ~ sP0(X41)
| sK11(X41) = X42
| sK12 = X42 ),
inference(superposition,[],[f57,f101]) ).
fof(f222049,plain,
( ! [X16,X17] :
( ~ big_f(X16,X17)
| X16 = X17
| sK12 = X16 )
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_25
| spl14_789 ),
inference(subsumption_resolution,[],[f221750,f195775]) ).
fof(f221750,plain,
( ! [X16,X17] :
( ~ big_f(X16,X17)
| X16 = X17
| sK5 = sK12
| sK12 = X16 )
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_25
| spl14_789 ),
inference(superposition,[],[f221483,f101]) ).
fof(f221483,plain,
( ! [X0] :
( ~ big_f(sK5,X0)
| sK5 = X0 )
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_25
| spl14_789 ),
inference(superposition,[],[f854,f219152]) ).
fof(f219152,plain,
( ! [X0] :
( sK12 = X0
| sK5 = X0 )
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_789 ),
inference(backward_demodulation,[],[f219062,f205704]) ).
fof(f219062,plain,
( ! [X0] :
( sK12 = X0
| sK4(X0) = sK5 )
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_789 ),
inference(superposition,[],[f205704,f195845]) ).
fof(f259649,plain,
( ! [X6,X7,X5] :
( X5 = X6
| sK12 = X5
| X6 = X7
| X5 = X7 )
| ~ spl14_967 ),
inference(avatar_component_clause,[],[f259648]) ).
fof(f260399,plain,
( ! [X73,X76,X77,X74,X75] :
( X73 != X74
| sK8(X74,X75) = X75
| X73 = X76
| X76 = X77
| X73 = X77 )
| ~ spl14_937
| ~ spl14_967 ),
inference(superposition,[],[f246788,f259649]) ).
fof(f259651,plain,
( spl14_29
| spl14_967
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_789 ),
inference(avatar_split_clause,[],[f259573,f195944,f198,f111,f95,f71,f66,f259648,f1024]) ).
fof(f259573,plain,
( ! [X10,X11,X9,X12] :
( X9 = X10
| X9 = X11
| X10 = X11
| sK5 = X12
| sK12 = X9 )
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_789 ),
inference(duplicate_literal_removal,[],[f259241]) ).
fof(f259241,plain,
( ! [X10,X11,X9,X12] :
( X9 = X10
| X9 = X11
| X10 = X11
| sK5 = X12
| sK5 = X12
| sK12 = X9 )
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_789 ),
inference(superposition,[],[f195887,f221836]) ).
fof(f221836,plain,
( ! [X18,X19,X20] :
( X18 = X19
| sK5 = X19
| X18 = X20
| sK12 = X20 )
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_789 ),
inference(superposition,[],[f219152,f101]) ).
fof(f252148,plain,
( spl14_791
| spl14_937
| ~ spl14_1
| ~ spl14_3
| spl14_4
| ~ spl14_9
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_25
| spl14_789 ),
inference(avatar_split_clause,[],[f252089,f195944,f853,f198,f111,f95,f91,f71,f66,f59,f246787,f196140]) ).
fof(f252089,plain,
( ! [X2,X0,X1] :
( sK12 != X1
| sK8(X1,X2) = X2
| sK12 = X0 )
| ~ spl14_1
| ~ spl14_3
| spl14_4
| ~ spl14_9
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_25
| spl14_789 ),
inference(equality_factoring,[],[f251734]) ).
fof(f238888,plain,
( spl14_899
| spl14_725
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_789
| ~ spl14_822
| spl14_901 ),
inference(avatar_split_clause,[],[f238625,f229691,f205552,f195944,f198,f111,f95,f71,f66,f178981,f229674]) ).
fof(f238625,plain,
( ! [X9] :
( sK5 != sK8(sK5,X9)
| sK5 = X9
| sK12 = sK10(sK12,sK5) )
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_789
| ~ spl14_822
| spl14_901 ),
inference(superposition,[],[f229692,f222012]) ).
fof(f222012,plain,
( ! [X24,X23] :
( sK8(sK5,X23) = X24
| sK5 = X23
| sK12 = X24 )
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_789
| ~ spl14_822 ),
inference(subsumption_resolution,[],[f221852,f195775]) ).
fof(f221852,plain,
( ! [X24,X23] :
( sK5 = sK12
| sK5 = X23
| sK8(sK5,X23) = X24
| sK12 = X24 )
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_789
| ~ spl14_822 ),
inference(superposition,[],[f221528,f101]) ).
fof(f221528,plain,
( ! [X0] :
( sK5 = sK8(sK5,X0)
| sK5 = X0 )
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_789
| ~ spl14_822 ),
inference(superposition,[],[f221527,f219152]) ).
fof(f223440,plain,
( ~ spl14_1
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_25
| spl14_789
| ~ spl14_799 ),
inference(avatar_contradiction_clause,[],[f223439]) ).
fof(f223439,plain,
( $false
| ~ spl14_1
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_25
| spl14_789
| ~ spl14_799 ),
inference(subsumption_resolution,[],[f223436,f197852]) ).
fof(f221180,plain,
( spl14_791
| ~ spl14_23
| ~ spl14_1
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_789
| ~ spl14_837 ),
inference(avatar_split_clause,[],[f221179,f211612,f195944,f198,f111,f95,f71,f66,f59,f384,f196140]) ).
fof(f211612,plain,
( spl14_837
<=> ! [X8] :
( sK12 = X8
| sK5 = sK8(sK5,X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_837])]) ).
fof(f221179,plain,
( ! [X1] :
( ~ big_f(sK5,sK5)
| sK12 = X1 )
| ~ spl14_1
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_789
| ~ spl14_837 ),
inference(subsumption_resolution,[],[f219618,f219152]) ).
fof(f219618,plain,
( ! [X1] :
( sK5 != X1
| ~ big_f(sK5,sK5)
| sK12 = X1 )
| ~ spl14_1
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_789
| ~ spl14_837 ),
inference(superposition,[],[f205982,f211613]) ).
fof(f211613,plain,
( ! [X8] :
( sK5 = sK8(sK5,X8)
| sK12 = X8 )
| ~ spl14_837 ),
inference(avatar_component_clause,[],[f211612]) ).
fof(f221178,plain,
( spl14_791
| spl14_810
| ~ spl14_1
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_345
| ~ spl14_638
| spl14_789
| spl14_799
| spl14_821 ),
inference(avatar_split_clause,[],[f221177,f205549,f197851,f195944,f140069,f41185,f198,f111,f95,f71,f66,f59,f202688,f196140]) ).
fof(f202688,plain,
( spl14_810
<=> ! [X5] : ~ big_f(sK5,X5) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_810])]) ).
fof(f41185,plain,
( spl14_345
<=> sP0(sK9(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_345])]) ).
fof(f221177,plain,
( ! [X2,X1] :
( ~ big_f(sK5,X1)
| sK12 = X2 )
| ~ spl14_1
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_345
| ~ spl14_638
| spl14_789
| spl14_799
| spl14_821 ),
inference(subsumption_resolution,[],[f221174,f220537]) ).
fof(f220537,plain,
( ! [X2,X0,X1] :
( ~ big_f(X0,X1)
| X0 = X2
| sK12 = X2 )
| spl14_15
| spl14_345
| ~ spl14_638
| spl14_799
| spl14_821 ),
inference(superposition,[],[f220528,f101]) ).
fof(f220528,plain,
( ! [X9] : ~ big_f(sK12,X9)
| spl14_15
| spl14_345
| ~ spl14_638
| spl14_799
| spl14_821 ),
inference(forward_demodulation,[],[f220527,f220513]) ).
fof(f220513,plain,
( ! [X0] : sK10(sK12,X0) = X0
| spl14_15
| spl14_345
| ~ spl14_638
| spl14_799
| spl14_821 ),
inference(subsumption_resolution,[],[f220505,f220512]) ).
fof(f220512,plain,
( ! [X1] :
( sK12 = X1
| sK10(sK12,X1) = X1 )
| spl14_15
| spl14_345
| ~ spl14_638
| spl14_799
| spl14_821 ),
inference(subsumption_resolution,[],[f220501,f198126]) ).
fof(f220501,plain,
( ! [X1] :
( big_f(sK12,sK12)
| sK12 = X1
| sK10(sK12,X1) = X1 )
| spl14_15
| spl14_345
| ~ spl14_638
| spl14_821 ),
inference(superposition,[],[f213304,f220169]) ).
fof(f220169,plain,
( ! [X0] :
( sK10(sK12,X0) = X0
| sK12 = sK10(sK12,X0) )
| spl14_15
| spl14_345
| ~ spl14_638
| spl14_821 ),
inference(resolution,[],[f213304,f219593]) ).
fof(f219593,plain,
( ! [X8] :
( ~ big_f(sK12,X8)
| sK12 = X8 )
| spl14_15
| spl14_821 ),
inference(subsumption_resolution,[],[f219441,f195775]) ).
fof(f219441,plain,
( ! [X8] :
( ~ big_f(sK12,X8)
| sK12 = X8
| sK5 = sK12 )
| spl14_821 ),
inference(superposition,[],[f205550,f101]) ).
fof(f213304,plain,
( ! [X17] :
( big_f(sK12,sK10(sK12,X17))
| sK10(sK12,X17) = X17 )
| spl14_345
| ~ spl14_638 ),
inference(resolution,[],[f48,f211767]) ).
fof(f211767,plain,
( ~ sP0(sK12)
| spl14_345
| ~ spl14_638 ),
inference(forward_demodulation,[],[f41191,f140070]) ).
fof(f41191,plain,
( ~ sP0(sK9(sK5))
| spl14_345 ),
inference(avatar_component_clause,[],[f41185]) ).
fof(f220505,plain,
( ! [X0] :
( sK12 != X0
| sK10(sK12,X0) = X0 )
| spl14_15
| spl14_345
| ~ spl14_638
| spl14_821 ),
inference(equality_factoring,[],[f220169]) ).
fof(f220527,plain,
( ! [X9] : ~ big_f(sK12,sK10(sK12,X9))
| spl14_15
| spl14_345
| ~ spl14_638
| spl14_799
| spl14_821 ),
inference(trivial_inequality_removal,[],[f220517]) ).
fof(f220517,plain,
( ! [X9] :
( X9 != X9
| ~ big_f(sK12,sK10(sK12,X9)) )
| spl14_15
| spl14_345
| ~ spl14_638
| spl14_799
| spl14_821 ),
inference(backward_demodulation,[],[f214391,f220513]) ).
fof(f214391,plain,
( ! [X9] :
( sK10(sK12,X9) != X9
| ~ big_f(sK12,sK10(sK12,X9)) )
| spl14_345
| ~ spl14_638 ),
inference(resolution,[],[f49,f211767]) ).
fof(f221174,plain,
( ! [X2,X1] :
( sK5 != X2
| ~ big_f(sK5,X1)
| sK12 = X2 )
| ~ spl14_1
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_345
| ~ spl14_638
| spl14_789
| spl14_799
| spl14_821 ),
inference(superposition,[],[f205982,f220912]) ).
fof(f220912,plain,
( ! [X18,X17] :
( sK5 = sK8(X17,X18)
| sK12 = X18 )
| ~ spl14_1
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_345
| ~ spl14_638
| spl14_789
| spl14_799
| spl14_821 ),
inference(subsumption_resolution,[],[f215804,f220528]) ).
fof(f219148,plain,
( spl14_136
| spl14_15
| ~ spl14_10
| ~ spl14_12
| spl14_15 ),
inference(avatar_split_clause,[],[f219066,f198,f111,f95,f198,f15666]) ).
fof(f219066,plain,
( sK5 = sK12
| sK5 = sK13
| ~ spl14_10
| ~ spl14_12
| spl14_15 ),
inference(superposition,[],[f211733,f195845]) ).
fof(f211733,plain,
( sK5 = sK13
| ~ spl14_10
| ~ spl14_12
| spl14_15 ),
inference(forward_demodulation,[],[f189388,f195818]) ).
fof(f218841,plain,
( ~ spl14_1
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_789
| ~ spl14_811
| ~ spl14_821
| ~ spl14_822 ),
inference(avatar_contradiction_clause,[],[f218840]) ).
fof(f218840,plain,
( $false
| ~ spl14_1
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_789
| ~ spl14_811
| ~ spl14_821
| ~ spl14_822 ),
inference(subsumption_resolution,[],[f218807,f218825]) ).
fof(f218825,plain,
( ! [X0] : ~ big_f(sK5,X0)
| ~ spl14_1
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_789
| ~ spl14_811
| ~ spl14_822 ),
inference(forward_demodulation,[],[f218824,f218775]) ).
fof(f218775,plain,
( ! [X0] : sK5 = X0
| ~ spl14_10
| ~ spl14_12
| spl14_15
| ~ spl14_811
| ~ spl14_822 ),
inference(subsumption_resolution,[],[f218769,f218773]) ).
fof(f218773,plain,
( ! [X10] : sK12 != X10
| spl14_15
| ~ spl14_811
| ~ spl14_822 ),
inference(subsumption_resolution,[],[f218765,f195775]) ).
fof(f218765,plain,
( ! [X10] :
( sK5 = sK12
| sK12 != X10 )
| ~ spl14_811
| ~ spl14_822 ),
inference(backward_demodulation,[],[f205553,f202753]) ).
fof(f202753,plain,
( ! [X0] : sK12 = sK8(sK5,X0)
| ~ spl14_811 ),
inference(avatar_component_clause,[],[f202752]) ).
fof(f202752,plain,
( spl14_811
<=> ! [X0] : sK12 = sK8(sK5,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_811])]) ).
fof(f218769,plain,
( ! [X0] :
( sK5 = sK12
| sK5 = X0 )
| ~ spl14_10
| ~ spl14_12
| spl14_15
| ~ spl14_811
| ~ spl14_822 ),
inference(backward_demodulation,[],[f218737,f202753]) ).
fof(f218737,plain,
( ! [X0] :
( sK5 = sK8(sK5,X0)
| sK5 = X0 )
| ~ spl14_10
| ~ spl14_12
| spl14_15
| ~ spl14_822 ),
inference(superposition,[],[f218732,f195845]) ).
fof(f218732,plain,
( sK5 = sK8(sK5,sK12)
| ~ spl14_822 ),
inference(equality_resolution,[],[f205553]) ).
fof(f218824,plain,
( ! [X0,X1] : ~ big_f(sK8(X0,X1),X0)
| ~ spl14_1
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_789
| ~ spl14_811
| ~ spl14_822 ),
inference(subsumption_resolution,[],[f218780,f218775]) ).
fof(f218780,plain,
( ! [X0,X1] :
( sK5 != X1
| ~ big_f(sK8(X0,X1),X0) )
| ~ spl14_1
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_789
| ~ spl14_811
| ~ spl14_822 ),
inference(backward_demodulation,[],[f205982,f218775]) ).
fof(f218807,plain,
( big_f(sK5,sK5)
| ~ spl14_10
| ~ spl14_12
| spl14_15
| ~ spl14_811
| ~ spl14_821
| ~ spl14_822 ),
inference(backward_demodulation,[],[f211614,f218775]) ).
fof(f218758,plain,
( ~ spl14_1
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_789
| ~ spl14_812
| ~ spl14_822 ),
inference(avatar_contradiction_clause,[],[f218757]) ).
fof(f218757,plain,
( $false
| ~ spl14_1
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_789
| ~ spl14_812
| ~ spl14_822 ),
inference(subsumption_resolution,[],[f218756,f195775]) ).
fof(f218756,plain,
( sK5 = sK12
| ~ spl14_1
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_789
| ~ spl14_812
| ~ spl14_822 ),
inference(forward_demodulation,[],[f218755,f218732]) ).
fof(f218755,plain,
( sK12 = sK8(sK5,sK12)
| ~ spl14_1
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_789
| ~ spl14_812 ),
inference(equality_resolution,[],[f217756]) ).
fof(f217756,plain,
( ! [X0] :
( sK12 != X0
| sK12 = sK8(sK5,X0) )
| ~ spl14_1
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_789
| ~ spl14_812 ),
inference(equality_factoring,[],[f215796]) ).
fof(f215796,plain,
( ! [X9] :
( sK8(sK5,X9) = X9
| sK12 = sK8(sK5,X9) )
| ~ spl14_1
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_789
| ~ spl14_812 ),
inference(resolution,[],[f205983,f202756]) ).
fof(f202756,plain,
( ! [X1] :
( ~ big_f(X1,sK5)
| sK12 = X1 )
| ~ spl14_812 ),
inference(avatar_component_clause,[],[f202755]) ).
fof(f202755,plain,
( spl14_812
<=> ! [X1] :
( ~ big_f(X1,sK5)
| sK12 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_812])]) ).
fof(f218440,plain,
( spl14_791
| ~ spl14_821
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_345
| ~ spl14_638
| ~ spl14_800 ),
inference(avatar_split_clause,[],[f218439,f197856,f140069,f41185,f198,f111,f95,f205549,f196140]) ).
fof(f197856,plain,
( spl14_800
<=> ! [X8] :
( sK12 = X8
| sK5 = sK10(sK12,X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_800])]) ).
fof(f218439,plain,
( ! [X0] :
( ~ big_f(sK12,sK5)
| sK12 = X0 )
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_345
| ~ spl14_638
| ~ spl14_800 ),
inference(subsumption_resolution,[],[f217915,f195845]) ).
fof(f217915,plain,
( ! [X0] :
( sK5 != X0
| ~ big_f(sK12,sK5)
| sK12 = X0 )
| spl14_345
| ~ spl14_638
| ~ spl14_800 ),
inference(superposition,[],[f214391,f197857]) ).
fof(f197857,plain,
( ! [X8] :
( sK5 = sK10(sK12,X8)
| sK12 = X8 )
| ~ spl14_800 ),
inference(avatar_component_clause,[],[f197856]) ).
fof(f214695,plain,
( spl14_800
| spl14_799
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_345
| ~ spl14_638 ),
inference(avatar_split_clause,[],[f213330,f140069,f41185,f198,f111,f95,f197851,f197856]) ).
fof(f213330,plain,
( ! [X8] :
( big_f(sK12,sK12)
| sK12 = X8
| sK5 = sK10(sK12,X8) )
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_345
| ~ spl14_638 ),
inference(superposition,[],[f213304,f195845]) ).
fof(f214490,plain,
( spl14_15
| spl14_345
| ~ spl14_638
| ~ spl14_799
| spl14_821 ),
inference(avatar_contradiction_clause,[],[f214489]) ).
fof(f214489,plain,
( $false
| spl14_15
| spl14_345
| ~ spl14_638
| ~ spl14_799
| spl14_821 ),
inference(subsumption_resolution,[],[f214487,f197852]) ).
fof(f214487,plain,
( ~ big_f(sK12,sK12)
| spl14_15
| spl14_345
| ~ spl14_638
| spl14_821 ),
inference(trivial_inequality_removal,[],[f214463]) ).
fof(f214463,plain,
( sK12 != sK12
| ~ big_f(sK12,sK12)
| spl14_15
| spl14_345
| ~ spl14_638
| spl14_821 ),
inference(superposition,[],[f214391,f213425]) ).
fof(f213425,plain,
( sK12 = sK10(sK12,sK12)
| spl14_15
| spl14_345
| ~ spl14_638
| spl14_821 ),
inference(equality_resolution,[],[f213404]) ).
fof(f213404,plain,
( ! [X0] :
( sK12 != X0
| sK12 = sK10(sK12,X0) )
| spl14_15
| spl14_345
| ~ spl14_638
| spl14_821 ),
inference(equality_factoring,[],[f213305]) ).
fof(f213305,plain,
( ! [X0] :
( sK10(sK12,X0) = X0
| sK12 = sK10(sK12,X0) )
| spl14_15
| spl14_345
| ~ spl14_638
| spl14_821 ),
inference(resolution,[],[f213304,f212061]) ).
fof(f212061,plain,
( ! [X9] :
( ~ big_f(sK12,X9)
| sK12 = X9 )
| spl14_15
| spl14_821 ),
inference(subsumption_resolution,[],[f211917,f195775]) ).
fof(f211917,plain,
( ! [X9] :
( ~ big_f(sK12,X9)
| sK12 = X9
| sK5 = sK12 )
| spl14_821 ),
inference(superposition,[],[f205550,f101]) ).
fof(f211712,plain,
( spl14_15
| ~ spl14_159
| ~ spl14_638 ),
inference(avatar_contradiction_clause,[],[f211711]) ).
fof(f211711,plain,
( $false
| spl14_15
| ~ spl14_159
| ~ spl14_638 ),
inference(subsumption_resolution,[],[f211710,f195775]) ).
fof(f211710,plain,
( sK5 = sK12
| ~ spl14_159
| ~ spl14_638 ),
inference(forward_demodulation,[],[f140070,f18360]) ).
fof(f18360,plain,
( sK5 = sK9(sK5)
| ~ spl14_159 ),
inference(avatar_component_clause,[],[f18359]) ).
fof(f18359,plain,
( spl14_159
<=> sK5 = sK9(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_159])]) ).
fof(f211658,plain,
( ~ spl14_9
| ~ spl14_10
| ~ spl14_12
| spl14_15
| ~ spl14_25
| ~ spl14_107 ),
inference(avatar_contradiction_clause,[],[f211657]) ).
fof(f211657,plain,
( $false
| ~ spl14_9
| ~ spl14_10
| ~ spl14_12
| spl14_15
| ~ spl14_25
| ~ spl14_107 ),
inference(subsumption_resolution,[],[f211656,f195775]) ).
fof(f211656,plain,
( sK5 = sK12
| ~ spl14_9
| ~ spl14_10
| ~ spl14_12
| spl14_15
| ~ spl14_25
| ~ spl14_107 ),
inference(forward_demodulation,[],[f9963,f211629]) ).
fof(f211629,plain,
( sK12 = sK11(sK5)
| ~ spl14_9
| ~ spl14_10
| ~ spl14_12
| spl14_15
| ~ spl14_25 ),
inference(subsumption_resolution,[],[f211064,f195821]) ).
fof(f211064,plain,
( sK12 = sK11(sK5)
| ~ sP0(sK5)
| ~ spl14_25 ),
inference(resolution,[],[f46,f862]) ).
fof(f9963,plain,
( sK5 = sK11(sK5)
| ~ spl14_107 ),
inference(avatar_component_clause,[],[f9962]) ).
fof(f9962,plain,
( spl14_107
<=> sK5 = sK11(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_107])]) ).
fof(f211621,plain,
( ~ spl14_821
| spl14_822
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_36 ),
inference(avatar_split_clause,[],[f199292,f1145,f198,f111,f95,f205552,f205549]) ).
fof(f1145,plain,
( spl14_36
<=> sP1(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_36])]) ).
fof(f199292,plain,
( ! [X8] :
( sK12 != X8
| ~ big_f(sK12,sK5)
| sK5 = sK8(sK5,X8) )
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_36 ),
inference(superposition,[],[f195879,f195845]) ).
fof(f195879,plain,
( ! [X0] :
( sK8(sK5,X0) != X0
| ~ big_f(sK8(sK5,X0),sK5) )
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_36 ),
inference(forward_demodulation,[],[f195840,f195818]) ).
fof(f195840,plain,
( ! [X0] :
( sK8(sK5,X0) != X0
| ~ big_f(sK8(sK7,X0),sK7) )
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_36 ),
inference(backward_demodulation,[],[f187831,f195818]) ).
fof(f187831,plain,
( ! [X0] :
( sK8(sK7,X0) != X0
| ~ big_f(sK8(sK7,X0),sK7) )
| spl14_36 ),
inference(resolution,[],[f45,f1146]) ).
fof(f1146,plain,
( ~ sP1(sK7)
| spl14_36 ),
inference(avatar_component_clause,[],[f1145]) ).
fof(f211615,plain,
( spl14_837
| spl14_821
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_36 ),
inference(avatar_split_clause,[],[f201170,f1145,f198,f111,f95,f205549,f211612]) ).
fof(f201170,plain,
( ! [X8] :
( big_f(sK12,sK5)
| sK12 = X8
| sK5 = sK8(sK5,X8) )
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_36 ),
inference(superposition,[],[f195876,f195845]) ).
fof(f195876,plain,
( ! [X0] :
( big_f(sK8(sK5,X0),sK5)
| sK8(sK5,X0) = X0 )
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_36 ),
inference(forward_demodulation,[],[f195838,f195818]) ).
fof(f195838,plain,
( ! [X0] :
( sK8(sK5,X0) = X0
| big_f(sK8(sK7,X0),sK7) )
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_36 ),
inference(backward_demodulation,[],[f187282,f195818]) ).
fof(f187282,plain,
( ! [X0] :
( big_f(sK8(sK7,X0),sK7)
| sK8(sK7,X0) = X0 )
| spl14_36 ),
inference(resolution,[],[f44,f1146]) ).
fof(f211243,plain,
( ~ spl14_14
| spl14_831
| ~ spl14_799 ),
inference(avatar_split_clause,[],[f211065,f197851,f211241,f127]) ).
fof(f211065,plain,
( sK12 = sK11(sK12)
| ~ sP0(sK12)
| ~ spl14_799 ),
inference(resolution,[],[f46,f197852]) ).
fof(f211203,plain,
( ~ spl14_10
| ~ spl14_12
| spl14_15
| ~ spl14_32
| spl14_36
| ~ spl14_170
| spl14_183
| ~ spl14_634
| ~ spl14_801 ),
inference(avatar_contradiction_clause,[],[f211202]) ).
fof(f211202,plain,
( $false
| ~ spl14_10
| ~ spl14_12
| spl14_15
| ~ spl14_32
| spl14_36
| ~ spl14_170
| spl14_183
| ~ spl14_634
| ~ spl14_801 ),
inference(subsumption_resolution,[],[f211201,f195775]) ).
fof(f211201,plain,
( sK5 = sK12
| ~ spl14_10
| ~ spl14_12
| spl14_15
| ~ spl14_32
| spl14_36
| ~ spl14_170
| spl14_183
| ~ spl14_634
| ~ spl14_801 ),
inference(forward_demodulation,[],[f211200,f211159]) ).
fof(f211159,plain,
( sK5 = sK10(sK12,sK12)
| ~ spl14_801 ),
inference(equality_resolution,[],[f198129]) ).
fof(f198129,plain,
( ! [X8] :
( sK12 != X8
| sK5 = sK10(sK12,X8) )
| ~ spl14_801 ),
inference(avatar_component_clause,[],[f198128]) ).
fof(f198128,plain,
( spl14_801
<=> ! [X8] :
( sK12 != X8
| sK5 = sK10(sK12,X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_801])]) ).
fof(f211200,plain,
( sK12 = sK10(sK12,sK12)
| ~ spl14_10
| ~ spl14_12
| spl14_15
| ~ spl14_32
| spl14_36
| ~ spl14_170
| spl14_183
| ~ spl14_634 ),
inference(equality_resolution,[],[f210109]) ).
fof(f210109,plain,
( ! [X0] :
( sK12 != X0
| sK12 = sK10(sK12,X0) )
| ~ spl14_10
| ~ spl14_12
| spl14_15
| ~ spl14_32
| spl14_36
| ~ spl14_170
| spl14_183
| ~ spl14_634 ),
inference(equality_factoring,[],[f207829]) ).
fof(f207829,plain,
( ! [X2] :
( sK10(sK12,X2) = X2
| sK12 = sK10(sK12,X2) )
| ~ spl14_10
| ~ spl14_12
| spl14_15
| ~ spl14_32
| spl14_36
| ~ spl14_170
| spl14_183
| ~ spl14_634 ),
inference(resolution,[],[f197239,f206394]) ).
fof(f206394,plain,
( ! [X39] :
( ~ big_f(sK12,X39)
| sK12 = X39 )
| ~ spl14_10
| ~ spl14_12
| spl14_15
| ~ spl14_32
| spl14_36 ),
inference(subsumption_resolution,[],[f206193,f195775]) ).
fof(f206193,plain,
( ! [X39] :
( ~ big_f(sK12,X39)
| sK12 = X39
| sK5 = sK12 )
| ~ spl14_10
| ~ spl14_12
| spl14_15
| ~ spl14_32
| spl14_36 ),
inference(superposition,[],[f205560,f101]) ).
fof(f205560,plain,
( ~ big_f(sK12,sK5)
| ~ spl14_10
| ~ spl14_12
| spl14_15
| ~ spl14_32
| spl14_36 ),
inference(subsumption_resolution,[],[f204109,f195775]) ).
fof(f204109,plain,
( ~ big_f(sK12,sK5)
| sK5 = sK12
| ~ spl14_10
| ~ spl14_12
| spl14_15
| ~ spl14_32
| spl14_36 ),
inference(trivial_inequality_removal,[],[f204098]) ).
fof(f204098,plain,
( sK12 != sK12
| ~ big_f(sK12,sK5)
| sK5 = sK12
| ~ spl14_10
| ~ spl14_12
| spl14_15
| ~ spl14_32
| spl14_36 ),
inference(superposition,[],[f195879,f203480]) ).
fof(f203480,plain,
( ! [X36] :
( sK12 = sK8(X36,sK12)
| sK12 = X36 )
| ~ spl14_10
| ~ spl14_12
| spl14_15
| ~ spl14_32
| spl14_36 ),
inference(subsumption_resolution,[],[f203288,f195775]) ).
fof(f203288,plain,
( ! [X36] :
( sK12 = sK8(X36,sK12)
| sK12 = X36
| sK5 = sK12 )
| ~ spl14_10
| ~ spl14_12
| spl14_15
| ~ spl14_32
| spl14_36 ),
inference(superposition,[],[f203207,f101]) ).
fof(f203207,plain,
( sK12 = sK8(sK5,sK12)
| ~ spl14_10
| ~ spl14_12
| spl14_15
| ~ spl14_32
| spl14_36 ),
inference(equality_resolution,[],[f202162]) ).
fof(f202162,plain,
( ! [X0] :
( sK12 != X0
| sK12 = sK8(sK5,X0) )
| ~ spl14_10
| ~ spl14_12
| spl14_15
| ~ spl14_32
| spl14_36 ),
inference(equality_factoring,[],[f201192]) ).
fof(f201192,plain,
( ! [X2] :
( sK8(sK5,X2) = X2
| sK12 = sK8(sK5,X2) )
| ~ spl14_10
| ~ spl14_12
| spl14_15
| ~ spl14_32
| spl14_36 ),
inference(subsumption_resolution,[],[f201158,f195775]) ).
fof(f201158,plain,
( ! [X2] :
( sK8(sK5,X2) = X2
| sK5 = sK12
| sK12 = sK8(sK5,X2) )
| ~ spl14_10
| ~ spl14_12
| spl14_15
| ~ spl14_32
| spl14_36 ),
inference(resolution,[],[f195876,f1040]) ).
fof(f1040,plain,
( ! [X4,X5] :
( ~ big_f(X5,X4)
| sK12 = X4
| sK12 = X5 )
| ~ spl14_32 ),
inference(avatar_component_clause,[],[f1039]) ).
fof(f1039,plain,
( spl14_32
<=> ! [X4,X5] :
( ~ big_f(X5,X4)
| sK12 = X4
| sK12 = X5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_32])]) ).
fof(f197239,plain,
( ! [X7] :
( big_f(sK12,sK10(sK12,X7))
| sK10(sK12,X7) = X7 )
| ~ spl14_170
| spl14_183
| ~ spl14_634 ),
inference(resolution,[],[f48,f195811]) ).
fof(f195811,plain,
( ~ sP0(sK12)
| ~ spl14_170
| spl14_183
| ~ spl14_634 ),
inference(backward_demodulation,[],[f195739,f195738]) ).
fof(f195738,plain,
( sK12 = sK11(sK7)
| ~ spl14_170
| ~ spl14_634 ),
inference(forward_demodulation,[],[f140050,f19756]) ).
fof(f19756,plain,
( sK7 = sK13
| ~ spl14_170 ),
inference(avatar_component_clause,[],[f19755]) ).
fof(f19755,plain,
( spl14_170
<=> sK7 = sK13 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_170])]) ).
fof(f195739,plain,
( ~ sP0(sK11(sK7))
| ~ spl14_170
| spl14_183 ),
inference(forward_demodulation,[],[f23732,f19756]) ).
fof(f210501,plain,
( spl14_791
| spl14_810
| ~ spl14_1
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15
| ~ spl14_32
| spl14_36
| ~ spl14_170
| spl14_183
| ~ spl14_634
| spl14_789
| spl14_799 ),
inference(avatar_split_clause,[],[f210500,f197851,f195944,f140049,f23722,f19755,f1145,f1039,f198,f111,f95,f71,f66,f59,f202688,f196140]) ).
fof(f210500,plain,
( ! [X4,X5] :
( ~ big_f(sK5,X4)
| sK12 = X5 )
| ~ spl14_1
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15
| ~ spl14_32
| spl14_36
| ~ spl14_170
| spl14_183
| ~ spl14_634
| spl14_789
| spl14_799 ),
inference(subsumption_resolution,[],[f210493,f210178]) ).
fof(f210178,plain,
( ! [X2,X0,X1] :
( ~ big_f(X0,X1)
| X0 = X2
| sK12 = X2 )
| ~ spl14_10
| ~ spl14_12
| spl14_15
| ~ spl14_32
| spl14_36
| ~ spl14_170
| spl14_183
| ~ spl14_634
| spl14_799 ),
inference(superposition,[],[f210158,f101]) ).
fof(f210158,plain,
( ! [X15] : ~ big_f(sK12,X15)
| ~ spl14_10
| ~ spl14_12
| spl14_15
| ~ spl14_32
| spl14_36
| ~ spl14_170
| spl14_183
| ~ spl14_634
| spl14_799 ),
inference(forward_demodulation,[],[f210157,f210122]) ).
fof(f210122,plain,
( ! [X0] : sK10(sK12,X0) = X0
| ~ spl14_10
| ~ spl14_12
| spl14_15
| ~ spl14_32
| spl14_36
| ~ spl14_170
| spl14_183
| ~ spl14_634
| spl14_799 ),
inference(subsumption_resolution,[],[f210110,f210121]) ).
fof(f210121,plain,
( ! [X1] :
( sK12 = X1
| sK10(sK12,X1) = X1 )
| ~ spl14_10
| ~ spl14_12
| spl14_15
| ~ spl14_32
| spl14_36
| ~ spl14_170
| spl14_183
| ~ spl14_634
| spl14_799 ),
inference(subsumption_resolution,[],[f210106,f198126]) ).
fof(f210106,plain,
( ! [X1] :
( big_f(sK12,sK12)
| sK12 = X1
| sK10(sK12,X1) = X1 )
| ~ spl14_10
| ~ spl14_12
| spl14_15
| ~ spl14_32
| spl14_36
| ~ spl14_170
| spl14_183
| ~ spl14_634 ),
inference(superposition,[],[f197239,f207829]) ).
fof(f210110,plain,
( ! [X0] :
( sK12 != X0
| sK10(sK12,X0) = X0 )
| ~ spl14_10
| ~ spl14_12
| spl14_15
| ~ spl14_32
| spl14_36
| ~ spl14_170
| spl14_183
| ~ spl14_634 ),
inference(equality_factoring,[],[f207829]) ).
fof(f210157,plain,
( ! [X15] : ~ big_f(sK12,sK10(sK12,X15))
| ~ spl14_10
| ~ spl14_12
| spl14_15
| ~ spl14_32
| spl14_36
| ~ spl14_170
| spl14_183
| ~ spl14_634
| spl14_799 ),
inference(trivial_inequality_removal,[],[f210128]) ).
fof(f210128,plain,
( ! [X15] :
( X15 != X15
| ~ big_f(sK12,sK10(sK12,X15)) )
| ~ spl14_10
| ~ spl14_12
| spl14_15
| ~ spl14_32
| spl14_36
| ~ spl14_170
| spl14_183
| ~ spl14_634
| spl14_799 ),
inference(backward_demodulation,[],[f197979,f210122]) ).
fof(f197979,plain,
( ! [X15] :
( sK10(sK12,X15) != X15
| ~ big_f(sK12,sK10(sK12,X15)) )
| ~ spl14_170
| spl14_183
| ~ spl14_634 ),
inference(resolution,[],[f49,f195811]) ).
fof(f210493,plain,
( ! [X4,X5] :
( sK5 != X5
| ~ big_f(sK5,X4)
| sK12 = X5 )
| ~ spl14_1
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15
| ~ spl14_32
| spl14_36
| ~ spl14_170
| spl14_183
| ~ spl14_634
| spl14_789
| spl14_799 ),
inference(superposition,[],[f205982,f210433]) ).
fof(f210433,plain,
( ! [X0,X1] :
( sK5 = sK8(X1,X0)
| sK12 = X0 )
| ~ spl14_1
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15
| ~ spl14_32
| spl14_36
| ~ spl14_170
| spl14_183
| ~ spl14_634
| spl14_789
| spl14_799 ),
inference(resolution,[],[f207206,f210158]) ).
fof(f207206,plain,
( ! [X21,X22] :
( big_f(sK12,X21)
| sK12 = X22
| sK5 = sK8(X21,X22) )
| ~ spl14_1
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_789 ),
inference(superposition,[],[f205983,f195845]) ).
fof(f205573,plain,
( ~ spl14_789
| spl14_790
| ~ spl14_1
| ~ spl14_10
| ~ spl14_12
| spl14_15 ),
inference(avatar_split_clause,[],[f203018,f198,f111,f95,f59,f195947,f195944]) ).
fof(f195947,plain,
( spl14_790
<=> ! [X0] :
( sK12 != X0
| sK4(X0) = sK5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_790])]) ).
fof(f203018,plain,
( ! [X0] :
( sK12 != X0
| ~ sP1(sK12)
| sK4(X0) = sK5 )
| ~ spl14_1
| ~ spl14_10
| ~ spl14_12
| spl14_15 ),
inference(superposition,[],[f60,f195845]) ).
fof(f205571,plain,
( spl14_805
| spl14_789
| ~ spl14_3
| ~ spl14_10
| ~ spl14_12
| spl14_15 ),
inference(avatar_split_clause,[],[f203043,f198,f111,f95,f66,f195944,f200661]) ).
fof(f203043,plain,
( ! [X0] :
( sP1(sK12)
| sK12 = X0
| sK4(X0) = sK5 )
| ~ spl14_3
| ~ spl14_10
| ~ spl14_12
| spl14_15 ),
inference(superposition,[],[f67,f195845]) ).
fof(f205543,plain,
( ~ spl14_789
| spl14_819
| ~ spl14_25 ),
inference(avatar_split_clause,[],[f203115,f853,f205541,f195944]) ).
fof(f203115,plain,
( sK5 = sK9(sK12)
| ~ sP1(sK12)
| ~ spl14_25 ),
inference(resolution,[],[f42,f862]) ).
fof(f205539,plain,
( ~ spl14_3
| spl14_4
| spl14_15
| ~ spl14_790 ),
inference(avatar_contradiction_clause,[],[f205538]) ).
fof(f205538,plain,
( $false
| ~ spl14_3
| spl14_4
| spl14_15
| ~ spl14_790 ),
inference(subsumption_resolution,[],[f205537,f195775]) ).
fof(f205537,plain,
( sK5 = sK12
| ~ spl14_3
| spl14_4
| ~ spl14_790 ),
inference(subsumption_resolution,[],[f205535,f1756]) ).
fof(f205535,plain,
( sP1(sK5)
| sK5 = sK12
| ~ spl14_3
| ~ spl14_790 ),
inference(superposition,[],[f67,f205532]) ).
fof(f205532,plain,
( sK5 = sK4(sK12)
| ~ spl14_790 ),
inference(equality_resolution,[],[f195948]) ).
fof(f195948,plain,
( ! [X0] :
( sK12 != X0
| sK4(X0) = sK5 )
| ~ spl14_790 ),
inference(avatar_component_clause,[],[f195947]) ).
fof(f204947,plain,
( ~ spl14_9
| ~ spl14_10
| ~ spl14_12
| spl14_15
| ~ spl14_810 ),
inference(avatar_contradiction_clause,[],[f204946]) ).
fof(f204946,plain,
( $false
| ~ spl14_9
| ~ spl14_10
| ~ spl14_12
| spl14_15
| ~ spl14_810 ),
inference(subsumption_resolution,[],[f204924,f195821]) ).
fof(f204924,plain,
( ~ sP0(sK5)
| ~ spl14_810 ),
inference(resolution,[],[f202689,f57]) ).
fof(f202689,plain,
( ! [X5] : ~ big_f(sK5,X5)
| ~ spl14_810 ),
inference(avatar_component_clause,[],[f202688]) ).
fof(f202757,plain,
( spl14_811
| spl14_812
| ~ spl14_10
| ~ spl14_12
| spl14_15
| ~ spl14_32
| spl14_36 ),
inference(avatar_split_clause,[],[f202750,f1145,f1039,f198,f111,f95,f202755,f202752]) ).
fof(f202750,plain,
( ! [X0,X1] :
( ~ big_f(X1,sK5)
| sK12 = X1
| sK12 = sK8(sK5,X0) )
| ~ spl14_10
| ~ spl14_12
| spl14_15
| ~ spl14_32
| spl14_36 ),
inference(subsumption_resolution,[],[f199288,f202169]) ).
fof(f202169,plain,
( ! [X3,X4] :
( X3 = X4
| sK12 = X4
| sK12 = sK8(sK5,X3) )
| ~ spl14_10
| ~ spl14_12
| spl14_15
| ~ spl14_32
| spl14_36 ),
inference(duplicate_literal_removal,[],[f202097]) ).
fof(f202097,plain,
( ! [X3,X4] :
( X3 = X4
| sK12 = X4
| sK12 = X4
| sK12 = sK8(sK5,X3) )
| ~ spl14_10
| ~ spl14_12
| spl14_15
| ~ spl14_32
| spl14_36 ),
inference(superposition,[],[f201192,f101]) ).
fof(f199288,plain,
( ! [X0,X1] :
( X0 != X1
| ~ big_f(X1,sK5)
| sK12 = X1
| sK12 = sK8(sK5,X0) )
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_36 ),
inference(superposition,[],[f195879,f101]) ).
fof(f200668,plain,
( spl14_29
| spl14_571
| ~ spl14_10
| ~ spl14_12
| spl14_15
| ~ spl14_159 ),
inference(avatar_split_clause,[],[f197041,f18359,f198,f111,f95,f120941,f1024]) ).
fof(f197041,plain,
( ! [X0,X1] :
( sK5 != X1
| sK9(X1) = X1
| sK5 = X0 )
| ~ spl14_10
| ~ spl14_12
| spl14_15
| ~ spl14_159 ),
inference(equality_factoring,[],[f196510]) ).
fof(f196510,plain,
( ! [X2,X3] :
( sK9(X2) = X2
| sK5 = X3
| X2 = X3 )
| ~ spl14_10
| ~ spl14_12
| spl14_15
| ~ spl14_159 ),
inference(superposition,[],[f18360,f195887]) ).
fof(f198130,plain,
( ~ spl14_799
| spl14_801
| ~ spl14_10
| ~ spl14_12
| spl14_15
| ~ spl14_170
| spl14_183
| ~ spl14_634 ),
inference(avatar_split_clause,[],[f198020,f140049,f23722,f19755,f198,f111,f95,f198128,f197851]) ).
fof(f198020,plain,
( ! [X8] :
( sK12 != X8
| ~ big_f(sK12,sK12)
| sK5 = sK10(sK12,X8) )
| ~ spl14_10
| ~ spl14_12
| spl14_15
| ~ spl14_170
| spl14_183
| ~ spl14_634 ),
inference(superposition,[],[f197979,f195845]) ).
fof(f196223,plain,
( spl14_15
| ~ spl14_791 ),
inference(avatar_contradiction_clause,[],[f196222]) ).
fof(f196222,plain,
( $false
| spl14_15
| ~ spl14_791 ),
inference(subsumption_resolution,[],[f196219,f196217]) ).
fof(f196217,plain,
( ! [X0,X1] : X0 = X1
| ~ spl14_791 ),
inference(superposition,[],[f196141,f196141]) ).
fof(f196141,plain,
( ! [X25] : sK12 = X25
| ~ spl14_791 ),
inference(avatar_component_clause,[],[f196140]) ).
fof(f196219,plain,
( ! [X1] : sK5 != X1
| spl14_15
| ~ spl14_791 ),
inference(superposition,[],[f195775,f196141]) ).
fof(f195891,plain,
( ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_159
| ~ spl14_345 ),
inference(avatar_contradiction_clause,[],[f195890]) ).
fof(f195890,plain,
( $false
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_159
| ~ spl14_345 ),
inference(subsumption_resolution,[],[f195744,f195818]) ).
fof(f195744,plain,
( sK5 != sK7
| ~ spl14_10
| spl14_159
| ~ spl14_345 ),
inference(backward_demodulation,[],[f43521,f195735]) ).
fof(f195735,plain,
( sK7 = sK9(sK5)
| ~ spl14_10
| ~ spl14_345 ),
inference(resolution,[],[f96,f41186]) ).
fof(f41186,plain,
( sP0(sK9(sK5))
| ~ spl14_345 ),
inference(avatar_component_clause,[],[f41185]) ).
fof(f43521,plain,
( sK5 != sK9(sK5)
| spl14_159 ),
inference(avatar_component_clause,[],[f18359]) ).
fof(f195820,plain,
( ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_105 ),
inference(avatar_contradiction_clause,[],[f195819]) ).
fof(f195819,plain,
( $false
| ~ spl14_10
| ~ spl14_12
| spl14_15
| spl14_105 ),
inference(subsumption_resolution,[],[f195818,f9104]) ).
fof(f9104,plain,
( sK5 != sK7
| spl14_105 ),
inference(avatar_component_clause,[],[f9103]) ).
fof(f195285,plain,
( ~ spl14_152
| spl14_161
| spl14_36
| ~ spl14_81 ),
inference(avatar_split_clause,[],[f188664,f4671,f1145,f18494,f17780]) ).
fof(f18494,plain,
( spl14_161
<=> ! [X10] :
( sK7 != X10
| sK5 = sK8(sK7,X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_161])]) ).
fof(f4671,plain,
( spl14_81
<=> ! [X11] :
( sK5 = X11
| sK7 = X11 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_81])]) ).
fof(f188664,plain,
( ! [X1] :
( sK7 != X1
| ~ big_f(sK7,sK7)
| sK5 = sK8(sK7,X1) )
| spl14_36
| ~ spl14_81 ),
inference(superposition,[],[f187831,f4672]) ).
fof(f4672,plain,
( ! [X11] :
( sK7 = X11
| sK5 = X11 )
| ~ spl14_81 ),
inference(avatar_component_clause,[],[f4671]) ).
fof(f192029,plain,
( ~ spl14_9
| ~ spl14_10
| ~ spl14_12
| spl14_152
| ~ spl14_183 ),
inference(avatar_contradiction_clause,[],[f192028]) ).
fof(f192028,plain,
( $false
| ~ spl14_9
| ~ spl14_10
| ~ spl14_12
| spl14_152
| ~ spl14_183 ),
inference(subsumption_resolution,[],[f192027,f92]) ).
fof(f192027,plain,
( ~ sP0(sK7)
| ~ spl14_10
| ~ spl14_12
| spl14_152
| ~ spl14_183 ),
inference(subsumption_resolution,[],[f192026,f18492]) ).
fof(f192026,plain,
( big_f(sK7,sK7)
| ~ sP0(sK7)
| ~ spl14_10
| ~ spl14_12
| ~ spl14_183 ),
inference(superposition,[],[f57,f192023]) ).
fof(f192023,plain,
( sK7 = sK11(sK7)
| ~ spl14_10
| ~ spl14_12
| ~ spl14_183 ),
inference(resolution,[],[f191944,f96]) ).
fof(f191944,plain,
( sP0(sK11(sK7))
| ~ spl14_10
| ~ spl14_12
| ~ spl14_183 ),
inference(forward_demodulation,[],[f23723,f189388]) ).
fof(f191973,plain,
( ~ spl14_10
| ~ spl14_12
| ~ spl14_21
| spl14_152 ),
inference(avatar_contradiction_clause,[],[f191972]) ).
fof(f191972,plain,
( $false
| ~ spl14_10
| ~ spl14_12
| ~ spl14_21
| spl14_152 ),
inference(subsumption_resolution,[],[f189398,f18492]) ).
fof(f189398,plain,
( big_f(sK7,sK7)
| ~ spl14_10
| ~ spl14_12
| ~ spl14_21 ),
inference(backward_demodulation,[],[f26612,f189388]) ).
fof(f26612,plain,
( big_f(sK13,sK13)
| ~ spl14_21 ),
inference(avatar_component_clause,[],[f340]) ).
fof(f340,plain,
( spl14_21
<=> big_f(sK13,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_21])]) ).
fof(f191928,plain,
( ~ spl14_9
| ~ spl14_10
| ~ spl14_12
| ~ spl14_24
| spl14_59 ),
inference(avatar_contradiction_clause,[],[f191927]) ).
fof(f191927,plain,
( $false
| ~ spl14_9
| ~ spl14_10
| ~ spl14_12
| ~ spl14_24
| spl14_59 ),
inference(subsumption_resolution,[],[f3725,f191903]) ).
fof(f191903,plain,
( sK5 = sK11(sK7)
| ~ spl14_9
| ~ spl14_10
| ~ spl14_12
| ~ spl14_24 ),
inference(subsumption_resolution,[],[f191900,f92]) ).
fof(f191900,plain,
( sK5 = sK11(sK7)
| ~ sP0(sK7)
| ~ spl14_10
| ~ spl14_12
| ~ spl14_24 ),
inference(resolution,[],[f46,f191783]) ).
fof(f191783,plain,
( big_f(sK7,sK5)
| ~ spl14_10
| ~ spl14_12
| ~ spl14_24 ),
inference(forward_demodulation,[],[f43511,f189388]) ).
fof(f43511,plain,
( big_f(sK13,sK5)
| ~ spl14_24 ),
inference(avatar_component_clause,[],[f405]) ).
fof(f405,plain,
( spl14_24
<=> big_f(sK13,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_24])]) ).
fof(f189390,plain,
( ~ spl14_10
| ~ spl14_12
| ~ spl14_16
| spl14_36 ),
inference(avatar_contradiction_clause,[],[f189389]) ).
fof(f189389,plain,
( $false
| ~ spl14_10
| ~ spl14_12
| ~ spl14_16
| spl14_36 ),
inference(subsumption_resolution,[],[f189388,f189375]) ).
fof(f189375,plain,
( sK7 != sK13
| ~ spl14_16
| spl14_36 ),
inference(backward_demodulation,[],[f140446,f172200]) ).
fof(f172200,plain,
( sK7 = sK12
| ~ spl14_16
| spl14_36 ),
inference(resolution,[],[f202,f1146]) ).
fof(f140446,plain,
sK12 != sK13,
inference(global_subsumption,[],[f52]) ).
fof(f52,plain,
sK12 != sK13,
inference(cnf_transformation,[],[f33]) ).
fof(f189348,plain,
( spl14_136
| ~ spl14_198
| ~ spl14_358 ),
inference(avatar_contradiction_clause,[],[f189347]) ).
fof(f189347,plain,
( $false
| spl14_136
| ~ spl14_198
| ~ spl14_358 ),
inference(subsumption_resolution,[],[f15667,f189280]) ).
fof(f189280,plain,
( sK5 = sK13
| ~ spl14_198
| ~ spl14_358 ),
inference(forward_demodulation,[],[f26670,f43503]) ).
fof(f43503,plain,
( sK5 = sK9(sK13)
| ~ spl14_358 ),
inference(avatar_component_clause,[],[f43502]) ).
fof(f43502,plain,
( spl14_358
<=> sK5 = sK9(sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_358])]) ).
fof(f26670,plain,
( sK13 = sK9(sK13)
| ~ spl14_198 ),
inference(avatar_component_clause,[],[f26669]) ).
fof(f26669,plain,
( spl14_198
<=> sK13 = sK9(sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_198])]) ).
fof(f15667,plain,
( sK5 != sK13
| spl14_136 ),
inference(avatar_component_clause,[],[f15666]) ).
fof(f189324,plain,
( ~ spl14_107
| spl14_136
| ~ spl14_468 ),
inference(avatar_contradiction_clause,[],[f189323]) ).
fof(f189323,plain,
( $false
| ~ spl14_107
| spl14_136
| ~ spl14_468 ),
inference(subsumption_resolution,[],[f15667,f189287]) ).
fof(f189287,plain,
( sK5 = sK13
| ~ spl14_107
| ~ spl14_468 ),
inference(forward_demodulation,[],[f9963,f72425]) ).
fof(f72425,plain,
( sK13 = sK11(sK5)
| ~ spl14_468 ),
inference(avatar_component_clause,[],[f72424]) ).
fof(f72424,plain,
( spl14_468
<=> sK13 = sK11(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_468])]) ).
fof(f188988,plain,
( ~ spl14_16
| ~ spl14_25
| spl14_36
| spl14_57 ),
inference(avatar_contradiction_clause,[],[f188987]) ).
fof(f188987,plain,
( $false
| ~ spl14_16
| ~ spl14_25
| spl14_36
| spl14_57 ),
inference(subsumption_resolution,[],[f187587,f2217]) ).
fof(f187587,plain,
( big_f(sK5,sK7)
| ~ spl14_16
| ~ spl14_25
| spl14_36 ),
inference(forward_demodulation,[],[f862,f172200]) ).
fof(f188850,plain,
( ~ spl14_5
| ~ spl14_9
| ~ spl14_16
| spl14_36
| spl14_59
| spl14_154
| ~ spl14_640 ),
inference(avatar_contradiction_clause,[],[f188849]) ).
fof(f188849,plain,
( $false
| ~ spl14_5
| ~ spl14_9
| ~ spl14_16
| spl14_36
| spl14_59
| spl14_154
| ~ spl14_640 ),
inference(subsumption_resolution,[],[f3725,f188801]) ).
fof(f188801,plain,
( sK5 = sK11(sK7)
| ~ spl14_5
| ~ spl14_9
| ~ spl14_16
| spl14_36
| spl14_154
| ~ spl14_640 ),
inference(subsumption_resolution,[],[f188149,f92]) ).
fof(f188149,plain,
( ~ sP0(sK7)
| sK5 = sK11(sK7)
| ~ spl14_5
| ~ spl14_16
| spl14_36
| spl14_154
| ~ spl14_640 ),
inference(resolution,[],[f172339,f187768]) ).
fof(f187768,plain,
( ~ big_f(sK7,sK7)
| ~ spl14_16
| spl14_36
| spl14_154
| ~ spl14_640 ),
inference(forward_demodulation,[],[f18308,f187612]) ).
fof(f187612,plain,
( sK7 = sK6(sK5)
| ~ spl14_16
| spl14_36
| ~ spl14_640 ),
inference(forward_demodulation,[],[f140078,f172200]) ).
fof(f18308,plain,
( ~ big_f(sK6(sK5),sK7)
| spl14_154 ),
inference(avatar_component_clause,[],[f17787]) ).
fof(f17787,plain,
( spl14_154
<=> big_f(sK6(sK5),sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_154])]) ).
fof(f172339,plain,
( ! [X1] :
( big_f(X1,sK7)
| ~ sP0(X1)
| sK5 = sK11(X1) )
| ~ spl14_5
| ~ spl14_16
| spl14_36 ),
inference(superposition,[],[f57,f172313]) ).
fof(f172313,plain,
( ! [X0] :
( sK7 = X0
| sK5 = X0 )
| ~ spl14_5
| ~ spl14_16
| spl14_36 ),
inference(backward_demodulation,[],[f172201,f172200]) ).
fof(f172201,plain,
( ! [X0] :
( sK12 = X0
| sK5 = X0 )
| ~ spl14_5
| ~ spl14_16 ),
inference(resolution,[],[f202,f76]) ).
fof(f187761,plain,
( spl14_155
| spl14_152
| spl14_36
| ~ spl14_81 ),
inference(avatar_split_clause,[],[f187515,f4671,f1145,f17780,f17899]) ).
fof(f17899,plain,
( spl14_155
<=> ! [X9] :
( sK7 = X9
| sK5 = sK8(sK7,X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_155])]) ).
fof(f187515,plain,
( ! [X13] :
( big_f(sK7,sK7)
| sK7 = X13
| sK5 = sK8(sK7,X13) )
| spl14_36
| ~ spl14_81 ),
inference(superposition,[],[f187282,f4672]) ).
fof(f187630,plain,
( ~ spl14_12
| spl14_108
| ~ spl14_136 ),
inference(avatar_contradiction_clause,[],[f187629]) ).
fof(f187629,plain,
( $false
| ~ spl14_12
| spl14_108
| ~ spl14_136 ),
inference(subsumption_resolution,[],[f187605,f9966]) ).
fof(f187605,plain,
( sP0(sK5)
| ~ spl14_12
| ~ spl14_136 ),
inference(forward_demodulation,[],[f1036,f15669]) ).
fof(f187622,plain,
( ~ spl14_5
| ~ spl14_8
| spl14_9
| ~ spl14_16
| spl14_36
| spl14_85 ),
inference(avatar_contradiction_clause,[],[f187621]) ).
fof(f187621,plain,
( $false
| ~ spl14_5
| ~ spl14_8
| spl14_9
| ~ spl14_16
| spl14_36
| spl14_85 ),
inference(subsumption_resolution,[],[f17550,f172366]) ).
fof(f172366,plain,
( ! [X1] :
( sK6(X1) = X1
| sK5 = sK6(X1) )
| ~ spl14_5
| ~ spl14_8
| spl14_9
| ~ spl14_16
| spl14_36 ),
inference(resolution,[],[f87,f172324]) ).
fof(f172324,plain,
( ! [X2] :
( ~ sP0(X2)
| sK5 = X2 )
| ~ spl14_5
| spl14_9
| ~ spl14_16
| spl14_36 ),
inference(superposition,[],[f21517,f172313]) ).
fof(f21517,plain,
( ~ sP0(sK7)
| spl14_9 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f17550,plain,
( sK5 != sK6(sK5)
| spl14_85 ),
inference(avatar_component_clause,[],[f5523]) ).
fof(f187590,plain,
( ~ spl14_19
| spl14_23
| ~ spl14_136 ),
inference(avatar_contradiction_clause,[],[f187589]) ).
fof(f187589,plain,
( $false
| ~ spl14_19
| spl14_23
| ~ spl14_136 ),
inference(subsumption_resolution,[],[f187588,f385]) ).
fof(f187588,plain,
( big_f(sK5,sK5)
| ~ spl14_19
| ~ spl14_136 ),
inference(forward_demodulation,[],[f26578,f15669]) ).
fof(f187573,plain,
( ~ spl14_16
| spl14_25
| spl14_36
| spl14_105
| ~ spl14_161 ),
inference(avatar_contradiction_clause,[],[f187572]) ).
fof(f187572,plain,
( $false
| ~ spl14_16
| spl14_25
| spl14_36
| spl14_105
| ~ spl14_161 ),
inference(subsumption_resolution,[],[f187571,f187425]) ).
fof(f187425,plain,
( big_f(sK5,sK7)
| spl14_36
| spl14_105
| ~ spl14_161 ),
inference(subsumption_resolution,[],[f187396,f9104]) ).
fof(f187396,plain,
( big_f(sK5,sK7)
| sK5 = sK7
| spl14_36
| ~ spl14_161 ),
inference(superposition,[],[f187282,f186686]) ).
fof(f186686,plain,
( sK5 = sK8(sK7,sK7)
| ~ spl14_161 ),
inference(equality_resolution,[],[f18495]) ).
fof(f18495,plain,
( ! [X10] :
( sK7 != X10
| sK5 = sK8(sK7,X10) )
| ~ spl14_161 ),
inference(avatar_component_clause,[],[f18494]) ).
fof(f187571,plain,
( ~ big_f(sK5,sK7)
| ~ spl14_16
| spl14_25
| spl14_36 ),
inference(forward_demodulation,[],[f854,f172200]) ).
fof(f186247,plain,
( spl14_105
| ~ spl14_136
| ~ spl14_170 ),
inference(avatar_contradiction_clause,[],[f186246]) ).
fof(f186246,plain,
( $false
| spl14_105
| ~ spl14_136
| ~ spl14_170 ),
inference(subsumption_resolution,[],[f186245,f9104]) ).
fof(f186245,plain,
( sK5 = sK7
| ~ spl14_136
| ~ spl14_170 ),
inference(forward_demodulation,[],[f19756,f15669]) ).
fof(f185860,plain,
( ~ spl14_36
| spl14_57
| ~ spl14_55 ),
inference(avatar_split_clause,[],[f181516,f1827,f2216,f1145]) ).
fof(f181516,plain,
( big_f(sK5,sK7)
| ~ sP1(sK7)
| ~ spl14_55 ),
inference(superposition,[],[f56,f1828]) ).
fof(f181411,plain,
( spl14_23
| ~ spl14_24
| ~ spl14_136 ),
inference(avatar_contradiction_clause,[],[f181410]) ).
fof(f181410,plain,
( $false
| spl14_23
| ~ spl14_24
| ~ spl14_136 ),
inference(subsumption_resolution,[],[f165523,f385]) ).
fof(f165523,plain,
( big_f(sK5,sK5)
| ~ spl14_24
| ~ spl14_136 ),
inference(forward_demodulation,[],[f43511,f15669]) ).
fof(f181365,plain,
( ~ spl14_136
| spl14_159
| ~ spl14_198 ),
inference(avatar_contradiction_clause,[],[f181364]) ).
fof(f181364,plain,
( $false
| ~ spl14_136
| spl14_159
| ~ spl14_198 ),
inference(subsumption_resolution,[],[f43521,f165518]) ).
fof(f165518,plain,
( sK5 = sK9(sK5)
| ~ spl14_136
| ~ spl14_198 ),
inference(forward_demodulation,[],[f26670,f15669]) ).
fof(f181053,plain,
( ~ spl14_5
| ~ spl14_6
| ~ spl14_8
| spl14_9
| spl14_12
| ~ spl14_16
| spl14_36
| spl14_78
| ~ spl14_136
| ~ spl14_152
| spl14_500
| ~ spl14_636 ),
inference(avatar_contradiction_clause,[],[f181052]) ).
fof(f181052,plain,
( $false
| ~ spl14_5
| ~ spl14_6
| ~ spl14_8
| spl14_9
| spl14_12
| ~ spl14_16
| spl14_36
| spl14_78
| ~ spl14_136
| ~ spl14_152
| spl14_500
| ~ spl14_636 ),
inference(subsumption_resolution,[],[f181051,f172219]) ).
fof(f172219,plain,
( sK5 != sK7
| ~ spl14_16
| spl14_36
| spl14_78
| ~ spl14_636 ),
inference(backward_demodulation,[],[f172155,f172200]) ).
fof(f172155,plain,
( sK5 != sK12
| spl14_78
| ~ spl14_636 ),
inference(backward_demodulation,[],[f4600,f140059]) ).
fof(f181051,plain,
( sK5 = sK7
| ~ spl14_5
| ~ spl14_6
| ~ spl14_8
| spl14_9
| spl14_12
| ~ spl14_16
| spl14_36
| spl14_78
| ~ spl14_136
| ~ spl14_152
| spl14_500
| ~ spl14_636 ),
inference(subsumption_resolution,[],[f181039,f175980]) ).
fof(f175980,plain,
( ~ big_f(sK7,sK5)
| ~ spl14_16
| spl14_36
| ~ spl14_136
| spl14_500
| ~ spl14_636 ),
inference(forward_demodulation,[],[f175979,f172213]) ).
fof(f172213,plain,
( sK7 = sK10(sK5,sK5)
| ~ spl14_16
| spl14_36
| ~ spl14_636 ),
inference(backward_demodulation,[],[f140059,f172200]) ).
fof(f175979,plain,
( ~ big_f(sK10(sK5,sK5),sK5)
| ~ spl14_136
| spl14_500 ),
inference(forward_demodulation,[],[f111821,f15669]) ).
fof(f111821,plain,
( ~ big_f(sK10(sK13,sK5),sK13)
| spl14_500 ),
inference(avatar_component_clause,[],[f86186]) ).
fof(f86186,plain,
( spl14_500
<=> big_f(sK10(sK13,sK5),sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_500])]) ).
fof(f181039,plain,
( big_f(sK7,sK5)
| sK5 = sK7
| ~ spl14_5
| ~ spl14_6
| ~ spl14_8
| spl14_9
| spl14_12
| ~ spl14_16
| spl14_36
| spl14_78
| ~ spl14_152
| ~ spl14_636 ),
inference(superposition,[],[f176664,f180999]) ).
fof(f180999,plain,
( sK5 = sK10(sK7,sK7)
| ~ spl14_5
| ~ spl14_6
| ~ spl14_8
| spl14_9
| spl14_12
| ~ spl14_16
| spl14_36
| spl14_78
| ~ spl14_152
| ~ spl14_636 ),
inference(subsumption_resolution,[],[f180964,f172219]) ).
fof(f180964,plain,
( sK5 = sK10(sK7,sK7)
| sK5 = sK7
| ~ spl14_5
| ~ spl14_6
| ~ spl14_8
| spl14_9
| spl14_12
| ~ spl14_16
| spl14_36
| spl14_78
| ~ spl14_152
| ~ spl14_636 ),
inference(resolution,[],[f180958,f177982]) ).
fof(f177982,plain,
( ! [X0] :
( big_f(X0,X0)
| sK5 = X0 )
| ~ spl14_5
| ~ spl14_16
| spl14_36
| spl14_78
| ~ spl14_152
| ~ spl14_636 ),
inference(subsumption_resolution,[],[f177978,f172219]) ).
fof(f177978,plain,
( ! [X0] :
( big_f(X0,X0)
| sK5 = X0
| sK5 = sK7 )
| ~ spl14_5
| ~ spl14_16
| spl14_36
| ~ spl14_152 ),
inference(superposition,[],[f17781,f172321]) ).
fof(f172321,plain,
( ! [X0,X1] :
( X0 = X1
| sK5 = X1
| sK5 = X0 )
| ~ spl14_5
| ~ spl14_16
| spl14_36 ),
inference(superposition,[],[f172313,f172313]) ).
fof(f180958,plain,
( ! [X0] :
( ~ big_f(X0,sK7)
| sK5 = sK10(X0,sK7) )
| ~ spl14_5
| ~ spl14_6
| ~ spl14_8
| spl14_9
| spl14_12
| ~ spl14_16
| spl14_36
| spl14_78
| ~ spl14_636 ),
inference(equality_resolution,[],[f177417]) ).
fof(f177417,plain,
( ! [X31,X30] :
( sK7 != X31
| ~ big_f(X30,sK7)
| sK5 = sK10(X30,X31) )
| ~ spl14_5
| ~ spl14_6
| ~ spl14_8
| spl14_9
| spl14_12
| ~ spl14_16
| spl14_36
| spl14_78
| ~ spl14_636 ),
inference(superposition,[],[f176667,f175775]) ).
fof(f175775,plain,
( ! [X0] :
( sK7 = X0
| sK5 = X0 )
| ~ spl14_16
| spl14_36
| spl14_78
| ~ spl14_636 ),
inference(equality_resolution,[],[f172526]) ).
fof(f172526,plain,
( ! [X11,X12] :
( sK5 != X11
| sK7 = X12
| X11 = X12 )
| ~ spl14_16
| spl14_36
| spl14_78
| ~ spl14_636 ),
inference(superposition,[],[f172219,f172222]) ).
fof(f172222,plain,
( ! [X0,X1] :
( sK7 = X1
| sK7 = X0
| X0 = X1 )
| ~ spl14_16
| spl14_36 ),
inference(forward_demodulation,[],[f172203,f172200]) ).
fof(f172203,plain,
( ! [X0,X1] :
( sK7 = X0
| X0 = X1
| sK12 = X1 )
| ~ spl14_16
| spl14_36 ),
inference(backward_demodulation,[],[f101,f172200]) ).
fof(f176667,plain,
( ! [X24,X23] :
( sK10(X23,X24) != X24
| ~ big_f(X23,sK10(X23,X24)) )
| ~ spl14_5
| ~ spl14_6
| ~ spl14_8
| spl14_9
| spl14_12
| ~ spl14_16
| spl14_36
| spl14_78
| ~ spl14_636 ),
inference(forward_demodulation,[],[f176666,f176649]) ).
fof(f176649,plain,
( ! [X0] : sK6(X0) = X0
| ~ spl14_5
| ~ spl14_8
| spl14_9
| spl14_12
| ~ spl14_16
| spl14_36
| spl14_78
| ~ spl14_636 ),
inference(subsumption_resolution,[],[f176646,f176648]) ).
fof(f176648,plain,
( ! [X0] :
( sK7 = X0
| sK6(X0) = X0 )
| ~ spl14_5
| ~ spl14_8
| spl14_9
| spl14_12
| ~ spl14_16
| spl14_36
| spl14_78
| ~ spl14_636 ),
inference(subsumption_resolution,[],[f176642,f172219]) ).
fof(f176642,plain,
( ! [X0] :
( sK5 = sK7
| sK7 = X0
| sK6(X0) = X0 )
| ~ spl14_5
| ~ spl14_8
| spl14_9
| spl14_12
| ~ spl14_16
| spl14_36 ),
inference(superposition,[],[f172370,f176231]) ).
fof(f176231,plain,
( ! [X2] :
( sK6(X2) = X2
| sK7 = sK6(X2) )
| ~ spl14_8
| spl14_12
| ~ spl14_16
| spl14_36 ),
inference(resolution,[],[f87,f172211]) ).
fof(f172211,plain,
( ! [X1] :
( ~ sP0(X1)
| sK7 = X1 )
| spl14_12
| ~ spl14_16
| spl14_36 ),
inference(backward_demodulation,[],[f139856,f172200]) ).
fof(f139856,plain,
( ! [X1] :
( ~ sP0(X1)
| sK12 = X1 )
| spl14_12 ),
inference(superposition,[],[f112,f53]) ).
fof(f172370,plain,
( ! [X0] :
( sK5 = sK6(X0)
| sK7 = X0 )
| ~ spl14_5
| ~ spl14_8
| spl14_9
| ~ spl14_16
| spl14_36 ),
inference(subsumption_resolution,[],[f172369,f21517]) ).
fof(f172369,plain,
( ! [X0] :
( sP0(sK7)
| sK7 = X0
| sK5 = sK6(X0) )
| ~ spl14_5
| ~ spl14_8
| ~ spl14_16
| spl14_36 ),
inference(superposition,[],[f87,f172313]) ).
fof(f176646,plain,
( ! [X0] :
( sK7 != X0
| sK6(X0) = X0 )
| ~ spl14_8
| spl14_12
| ~ spl14_16
| spl14_36 ),
inference(equality_factoring,[],[f176231]) ).
fof(f176666,plain,
( ! [X24,X23] :
( sK10(X23,X24) != X24
| ~ big_f(sK6(X23),sK10(sK6(X23),X24)) )
| ~ spl14_5
| ~ spl14_6
| ~ spl14_8
| spl14_9
| spl14_12
| ~ spl14_16
| spl14_36
| spl14_78
| ~ spl14_636 ),
inference(forward_demodulation,[],[f176659,f176649]) ).
fof(f176659,plain,
( ! [X24,X23] :
( sK10(sK6(X23),X24) != X24
| ~ big_f(sK6(X23),sK10(sK6(X23),X24)) )
| ~ spl14_5
| ~ spl14_6
| ~ spl14_8
| spl14_9
| spl14_12
| ~ spl14_16
| spl14_36
| spl14_78
| ~ spl14_636 ),
inference(trivial_inequality_removal,[],[f176654]) ).
fof(f176654,plain,
( ! [X24,X23] :
( X23 != X23
| sK10(sK6(X23),X24) != X24
| ~ big_f(sK6(X23),sK10(sK6(X23),X24)) )
| ~ spl14_5
| ~ spl14_6
| ~ spl14_8
| spl14_9
| spl14_12
| ~ spl14_16
| spl14_36
| spl14_78
| ~ spl14_636 ),
inference(backward_demodulation,[],[f156608,f176649]) ).
fof(f156608,plain,
( ! [X24,X23] :
( sK10(sK6(X23),X24) != X24
| ~ big_f(sK6(X23),sK10(sK6(X23),X24))
| sK6(X23) != X23 )
| ~ spl14_6 ),
inference(resolution,[],[f49,f80]) ).
fof(f176664,plain,
( ! [X10,X9] :
( big_f(X9,sK10(X9,X10))
| sK10(X9,X10) = X10 )
| ~ spl14_5
| ~ spl14_6
| ~ spl14_8
| spl14_9
| spl14_12
| ~ spl14_16
| spl14_36
| spl14_78
| ~ spl14_636 ),
inference(forward_demodulation,[],[f176663,f176649]) ).
fof(f176663,plain,
( ! [X10,X9] :
( sK10(X9,X10) = X10
| big_f(sK6(X9),sK10(sK6(X9),X10)) )
| ~ spl14_5
| ~ spl14_6
| ~ spl14_8
| spl14_9
| spl14_12
| ~ spl14_16
| spl14_36
| spl14_78
| ~ spl14_636 ),
inference(forward_demodulation,[],[f176660,f176649]) ).
fof(f176660,plain,
( ! [X10,X9] :
( sK10(sK6(X9),X10) = X10
| big_f(sK6(X9),sK10(sK6(X9),X10)) )
| ~ spl14_5
| ~ spl14_6
| ~ spl14_8
| spl14_9
| spl14_12
| ~ spl14_16
| spl14_36
| spl14_78
| ~ spl14_636 ),
inference(trivial_inequality_removal,[],[f176652]) ).
fof(f176652,plain,
( ! [X10,X9] :
( X9 != X9
| sK10(sK6(X9),X10) = X10
| big_f(sK6(X9),sK10(sK6(X9),X10)) )
| ~ spl14_5
| ~ spl14_6
| ~ spl14_8
| spl14_9
| spl14_12
| ~ spl14_16
| spl14_36
| spl14_78
| ~ spl14_636 ),
inference(backward_demodulation,[],[f146383,f176649]) ).
fof(f146383,plain,
( ! [X10,X9] :
( sK10(sK6(X9),X10) = X10
| big_f(sK6(X9),sK10(sK6(X9),X10))
| sK6(X9) != X9 )
| ~ spl14_6 ),
inference(resolution,[],[f48,f80]) ).
fof(f177961,plain,
( ~ spl14_5
| ~ spl14_6
| ~ spl14_8
| spl14_9
| spl14_12
| ~ spl14_16
| spl14_36
| spl14_78
| ~ spl14_86
| ~ spl14_155
| spl14_181
| ~ spl14_636 ),
inference(avatar_contradiction_clause,[],[f177954]) ).
fof(f177954,plain,
( $false
| ~ spl14_5
| ~ spl14_6
| ~ spl14_8
| spl14_9
| spl14_12
| ~ spl14_16
| spl14_36
| spl14_78
| ~ spl14_86
| ~ spl14_155
| spl14_181
| ~ spl14_636 ),
inference(resolution,[],[f177950,f176176]) ).
fof(f176176,plain,
( big_f(sK5,sK7)
| ~ spl14_16
| spl14_36
| ~ spl14_86
| ~ spl14_636 ),
inference(forward_demodulation,[],[f5576,f172213]) ).
fof(f177950,plain,
( ! [X23] : ~ big_f(X23,sK7)
| ~ spl14_5
| ~ spl14_6
| ~ spl14_8
| spl14_9
| spl14_12
| ~ spl14_16
| spl14_36
| spl14_78
| ~ spl14_86
| ~ spl14_155
| spl14_181
| ~ spl14_636 ),
inference(forward_demodulation,[],[f177949,f177906]) ).
fof(f177906,plain,
( ! [X0] : sK7 = X0
| ~ spl14_16
| spl14_36
| spl14_78
| ~ spl14_86
| ~ spl14_155
| spl14_181
| ~ spl14_636 ),
inference(subsumption_resolution,[],[f177905,f175775]) ).
fof(f177905,plain,
( ! [X0] :
( sK5 != X0
| sK7 = X0 )
| ~ spl14_16
| spl14_36
| ~ spl14_86
| ~ spl14_155
| spl14_181
| ~ spl14_636 ),
inference(subsumption_resolution,[],[f177894,f176176]) ).
fof(f177894,plain,
( ! [X0] :
( sK5 != X0
| ~ big_f(sK5,sK7)
| sK7 = X0 )
| ~ spl14_16
| spl14_36
| ~ spl14_155
| spl14_181
| ~ spl14_636 ),
inference(superposition,[],[f174641,f17900]) ).
fof(f17900,plain,
( ! [X9] :
( sK5 = sK8(sK7,X9)
| sK7 = X9 )
| ~ spl14_155 ),
inference(avatar_component_clause,[],[f17899]) ).
fof(f174641,plain,
( ! [X0] :
( sK8(sK7,X0) != X0
| ~ big_f(sK8(sK7,X0),sK7) )
| ~ spl14_16
| spl14_36
| spl14_181
| ~ spl14_636 ),
inference(resolution,[],[f45,f172221]) ).
fof(f172221,plain,
( ~ sP1(sK7)
| ~ spl14_16
| spl14_36
| spl14_181
| ~ spl14_636 ),
inference(backward_demodulation,[],[f172199,f172200]) ).
fof(f172199,plain,
( ~ sP1(sK12)
| spl14_181
| ~ spl14_636 ),
inference(forward_demodulation,[],[f23294,f140059]) ).
fof(f23294,plain,
( ~ sP1(sK10(sK5,sK5))
| spl14_181 ),
inference(avatar_component_clause,[],[f23293]) ).
fof(f23293,plain,
( spl14_181
<=> sP1(sK10(sK5,sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_181])]) ).
fof(f177949,plain,
( ! [X24,X23] : ~ big_f(X23,sK10(X23,X24))
| ~ spl14_5
| ~ spl14_6
| ~ spl14_8
| spl14_9
| spl14_12
| ~ spl14_16
| spl14_36
| spl14_78
| ~ spl14_86
| ~ spl14_155
| spl14_181
| ~ spl14_636 ),
inference(subsumption_resolution,[],[f177925,f177906]) ).
fof(f177925,plain,
( ! [X24,X23] :
( sK7 != X24
| ~ big_f(X23,sK10(X23,X24)) )
| ~ spl14_5
| ~ spl14_6
| ~ spl14_8
| spl14_9
| spl14_12
| ~ spl14_16
| spl14_36
| spl14_78
| ~ spl14_86
| ~ spl14_155
| spl14_181
| ~ spl14_636 ),
inference(backward_demodulation,[],[f176667,f177906]) ).
fof(f175966,plain,
( ~ spl14_4
| ~ spl14_16
| ~ spl14_23
| spl14_36
| spl14_78
| ~ spl14_136
| ~ spl14_500
| ~ spl14_636 ),
inference(avatar_contradiction_clause,[],[f175965]) ).
fof(f175965,plain,
( $false
| ~ spl14_4
| ~ spl14_16
| ~ spl14_23
| spl14_36
| spl14_78
| ~ spl14_136
| ~ spl14_500
| ~ spl14_636 ),
inference(subsumption_resolution,[],[f175964,f172219]) ).
fof(f175964,plain,
( sK5 = sK7
| ~ spl14_4
| ~ spl14_16
| ~ spl14_23
| spl14_36
| ~ spl14_136
| ~ spl14_500
| ~ spl14_636 ),
inference(forward_demodulation,[],[f175963,f172071]) ).
fof(f172071,plain,
( sK5 = sK9(sK5)
| ~ spl14_4
| ~ spl14_23 ),
inference(subsumption_resolution,[],[f171975,f72]) ).
fof(f171975,plain,
( sK5 = sK9(sK5)
| ~ sP1(sK5)
| ~ spl14_23 ),
inference(resolution,[],[f42,f2289]) ).
fof(f2289,plain,
( big_f(sK5,sK5)
| ~ spl14_23 ),
inference(avatar_component_clause,[],[f384]) ).
fof(f175963,plain,
( sK7 = sK9(sK5)
| ~ spl14_4
| ~ spl14_16
| spl14_36
| ~ spl14_136
| ~ spl14_500
| ~ spl14_636 ),
inference(subsumption_resolution,[],[f175960,f72]) ).
fof(f175960,plain,
( sK7 = sK9(sK5)
| ~ sP1(sK5)
| ~ spl14_16
| spl14_36
| ~ spl14_136
| ~ spl14_500
| ~ spl14_636 ),
inference(resolution,[],[f42,f175951]) ).
fof(f175951,plain,
( big_f(sK7,sK5)
| ~ spl14_16
| spl14_36
| ~ spl14_136
| ~ spl14_500
| ~ spl14_636 ),
inference(forward_demodulation,[],[f175950,f172213]) ).
fof(f175950,plain,
( big_f(sK10(sK5,sK5),sK5)
| ~ spl14_136
| ~ spl14_500 ),
inference(forward_demodulation,[],[f86187,f15669]) ).
fof(f86187,plain,
( big_f(sK10(sK13,sK5),sK13)
| ~ spl14_500 ),
inference(avatar_component_clause,[],[f86186]) ).
fof(f172755,plain,
( spl14_170
| spl14_81
| ~ spl14_16
| spl14_36
| ~ spl14_136 ),
inference(avatar_split_clause,[],[f172597,f15666,f1145,f201,f4671,f19755]) ).
fof(f172597,plain,
( ! [X48] :
( sK5 = X48
| sK7 = X48
| sK7 = sK13 )
| ~ spl14_16
| spl14_36
| ~ spl14_136 ),
inference(superposition,[],[f15669,f172222]) ).
fof(f172196,plain,
( ~ spl14_5
| spl14_78
| ~ spl14_181
| ~ spl14_636 ),
inference(avatar_contradiction_clause,[],[f172195]) ).
fof(f172195,plain,
( $false
| ~ spl14_5
| spl14_78
| ~ spl14_181
| ~ spl14_636 ),
inference(subsumption_resolution,[],[f172192,f172155]) ).
fof(f172192,plain,
( sK5 = sK12
| ~ spl14_5
| ~ spl14_181
| ~ spl14_636 ),
inference(resolution,[],[f76,f172156]) ).
fof(f172156,plain,
( sP1(sK12)
| ~ spl14_181
| ~ spl14_636 ),
inference(backward_demodulation,[],[f137309,f140059]) ).
fof(f137309,plain,
( sP1(sK10(sK5,sK5))
| ~ spl14_181 ),
inference(avatar_component_clause,[],[f23293]) ).
fof(f172069,plain,
( ~ spl14_36
| spl14_122
| ~ spl14_152 ),
inference(avatar_split_clause,[],[f171977,f17780,f12427,f1145]) ).
fof(f171977,plain,
( sK7 = sK9(sK7)
| ~ sP1(sK7)
| ~ spl14_152 ),
inference(resolution,[],[f42,f17781]) ).
fof(f171516,plain,
( ~ spl14_36
| spl14_37
| ~ spl14_1
| ~ spl14_9
| ~ spl14_10
| spl14_12
| ~ spl14_136 ),
inference(avatar_split_clause,[],[f165776,f15666,f111,f95,f91,f59,f1148,f1145]) ).
fof(f1148,plain,
( spl14_37
<=> ! [X0] :
( sK7 != X0
| sK4(X0) = sK5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_37])]) ).
fof(f165776,plain,
( ! [X0] :
( sK7 != X0
| ~ sP1(sK7)
| sK4(X0) = sK5 )
| ~ spl14_1
| ~ spl14_9
| ~ spl14_10
| spl14_12
| ~ spl14_136 ),
inference(superposition,[],[f60,f165343]) ).
fof(f165343,plain,
( ! [X0] :
( sK7 = X0
| sK5 = X0 )
| ~ spl14_9
| ~ spl14_10
| spl14_12
| ~ spl14_136 ),
inference(resolution,[],[f141239,f96]) ).
fof(f141239,plain,
( ! [X0] :
( sP0(X0)
| sK5 = X0 )
| ~ spl14_9
| spl14_12
| ~ spl14_136 ),
inference(superposition,[],[f92,f140983]) ).
fof(f140983,plain,
( ! [X2] :
( sK7 = X2
| sK5 = X2 )
| ~ spl14_9
| spl14_12
| ~ spl14_136 ),
inference(backward_demodulation,[],[f140806,f140954]) ).
fof(f140954,plain,
( sK7 = sK12
| ~ spl14_9
| spl14_12 ),
inference(resolution,[],[f139856,f92]) ).
fof(f140806,plain,
( ! [X2] :
( sK5 = X2
| sK12 = X2 )
| ~ spl14_136 ),
inference(forward_demodulation,[],[f53,f15669]) ).
fof(f171515,plain,
( spl14_38
| spl14_36
| ~ spl14_3
| ~ spl14_9
| ~ spl14_10
| spl14_12
| ~ spl14_136 ),
inference(avatar_split_clause,[],[f165782,f15666,f111,f95,f91,f66,f1145,f1212]) ).
fof(f1212,plain,
( spl14_38
<=> ! [X0] :
( sK7 = X0
| sK4(X0) = sK5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_38])]) ).
fof(f165782,plain,
( ! [X0] :
( sP1(sK7)
| sK7 = X0
| sK4(X0) = sK5 )
| ~ spl14_3
| ~ spl14_9
| ~ spl14_10
| spl14_12
| ~ spl14_136 ),
inference(superposition,[],[f67,f165343]) ).
fof(f171514,plain,
( ~ spl14_1
| ~ spl14_3
| ~ spl14_9
| ~ spl14_10
| spl14_12
| ~ spl14_23
| ~ spl14_25
| spl14_36
| ~ spl14_52
| spl14_108
| ~ spl14_136
| spl14_152 ),
inference(avatar_contradiction_clause,[],[f171513]) ).
fof(f171513,plain,
( $false
| ~ spl14_1
| ~ spl14_3
| ~ spl14_9
| ~ spl14_10
| spl14_12
| ~ spl14_23
| ~ spl14_25
| spl14_36
| ~ spl14_52
| spl14_108
| ~ spl14_136
| spl14_152 ),
inference(subsumption_resolution,[],[f171512,f165477]) ).
fof(f165477,plain,
( big_f(sK5,sK7)
| ~ spl14_9
| spl14_12
| ~ spl14_25 ),
inference(forward_demodulation,[],[f862,f140954]) ).
fof(f171512,plain,
( ~ big_f(sK5,sK7)
| ~ spl14_1
| ~ spl14_3
| ~ spl14_9
| ~ spl14_10
| spl14_12
| ~ spl14_23
| ~ spl14_25
| spl14_36
| ~ spl14_52
| spl14_108
| ~ spl14_136
| spl14_152 ),
inference(forward_demodulation,[],[f171511,f171393]) ).
fof(f171393,plain,
( ! [X0] : sK7 = X0
| ~ spl14_1
| ~ spl14_3
| ~ spl14_9
| ~ spl14_10
| spl14_12
| ~ spl14_23
| ~ spl14_25
| spl14_36
| ~ spl14_52
| ~ spl14_136
| spl14_152 ),
inference(subsumption_resolution,[],[f171392,f168376]) ).
fof(f168376,plain,
( ! [X8] :
( sK7 = X8
| sK5 = X8 )
| ~ spl14_9
| spl14_12
| ~ spl14_23
| ~ spl14_136
| spl14_152 ),
inference(subsumption_resolution,[],[f168312,f2289]) ).
fof(f168312,plain,
( ! [X8] :
( ~ big_f(sK5,sK5)
| sK7 = X8
| sK5 = X8 )
| ~ spl14_9
| spl14_12
| ~ spl14_136
| spl14_152 ),
inference(superposition,[],[f18492,f141362]) ).
fof(f141362,plain,
( ! [X0,X1] :
( X0 = X1
| sK5 = X1
| sK5 = X0 )
| ~ spl14_9
| spl14_12
| ~ spl14_136 ),
inference(superposition,[],[f140983,f140983]) ).
fof(f171392,plain,
( ! [X0] :
( sK5 != X0
| sK7 = X0 )
| ~ spl14_1
| ~ spl14_3
| ~ spl14_9
| ~ spl14_10
| spl14_12
| ~ spl14_25
| spl14_36
| ~ spl14_52
| ~ spl14_136
| spl14_152 ),
inference(subsumption_resolution,[],[f171384,f165477]) ).
fof(f171384,plain,
( ! [X0] :
( sK5 != X0
| ~ big_f(sK5,sK7)
| sK7 = X0 )
| ~ spl14_1
| ~ spl14_3
| ~ spl14_9
| ~ spl14_10
| spl14_12
| spl14_36
| ~ spl14_52
| ~ spl14_136
| spl14_152 ),
inference(superposition,[],[f168189,f171336]) ).
fof(f171336,plain,
( ! [X0] :
( sK5 = sK8(sK7,X0)
| sK7 = X0 )
| ~ spl14_1
| ~ spl14_3
| ~ spl14_9
| ~ spl14_10
| spl14_12
| spl14_36
| ~ spl14_52
| ~ spl14_136
| spl14_152 ),
inference(resolution,[],[f166922,f18492]) ).
fof(f166922,plain,
( ! [X26,X25] :
( big_f(sK7,X25)
| sK7 = X26
| sK5 = sK8(X25,X26) )
| ~ spl14_1
| ~ spl14_3
| ~ spl14_9
| ~ spl14_10
| spl14_12
| spl14_36
| ~ spl14_52
| ~ spl14_136 ),
inference(superposition,[],[f165972,f165343]) ).
fof(f165972,plain,
( ! [X0,X1] :
( big_f(sK8(X0,X1),X0)
| sK8(X0,X1) = X1 )
| ~ spl14_1
| ~ spl14_3
| ~ spl14_9
| ~ spl14_10
| spl14_12
| spl14_36
| ~ spl14_52
| ~ spl14_136 ),
inference(resolution,[],[f44,f165919]) ).
fof(f165919,plain,
( ! [X0] : ~ sP1(X0)
| ~ spl14_1
| ~ spl14_3
| ~ spl14_9
| ~ spl14_10
| spl14_12
| spl14_36
| ~ spl14_52
| ~ spl14_136 ),
inference(forward_demodulation,[],[f165918,f165907]) ).
fof(f165907,plain,
( ! [X0] : sK4(X0) = X0
| ~ spl14_3
| ~ spl14_9
| ~ spl14_10
| spl14_12
| spl14_36
| ~ spl14_52
| ~ spl14_136 ),
inference(subsumption_resolution,[],[f165904,f1777]) ).
fof(f1777,plain,
( ! [X2,X1] :
( sK5 = X1
| sK4(X1) = X2
| sK5 = X2 )
| ~ spl14_52 ),
inference(avatar_component_clause,[],[f1776]) ).
fof(f1776,plain,
( spl14_52
<=> ! [X2,X1] :
( sK5 = X1
| sK4(X1) = X2
| sK5 = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_52])]) ).
fof(f165904,plain,
( ! [X0] :
( sK5 != X0
| sK4(X0) = X0 )
| ~ spl14_3
| ~ spl14_9
| ~ spl14_10
| spl14_12
| spl14_36
| ~ spl14_136 ),
inference(equality_factoring,[],[f165780]) ).
fof(f165780,plain,
( ! [X0] :
( sK4(X0) = X0
| sK4(X0) = sK5 )
| ~ spl14_3
| ~ spl14_9
| ~ spl14_10
| spl14_12
| spl14_36
| ~ spl14_136 ),
inference(resolution,[],[f67,f165752]) ).
fof(f165752,plain,
( ! [X1] :
( ~ sP1(X1)
| sK5 = X1 )
| ~ spl14_9
| ~ spl14_10
| spl14_12
| spl14_36
| ~ spl14_136 ),
inference(superposition,[],[f1146,f165343]) ).
fof(f165918,plain,
( ! [X0] : ~ sP1(sK4(X0))
| ~ spl14_1
| ~ spl14_3
| ~ spl14_9
| ~ spl14_10
| spl14_12
| spl14_36
| ~ spl14_52
| ~ spl14_136 ),
inference(trivial_inequality_removal,[],[f165910]) ).
fof(f165910,plain,
( ! [X0] :
( X0 != X0
| ~ sP1(sK4(X0)) )
| ~ spl14_1
| ~ spl14_3
| ~ spl14_9
| ~ spl14_10
| spl14_12
| spl14_36
| ~ spl14_52
| ~ spl14_136 ),
inference(backward_demodulation,[],[f60,f165907]) ).
fof(f168189,plain,
( ! [X0,X1] :
( sK8(X0,X1) != X1
| ~ big_f(sK8(X0,X1),X0) )
| ~ spl14_1
| ~ spl14_3
| ~ spl14_9
| ~ spl14_10
| spl14_12
| spl14_36
| ~ spl14_52
| ~ spl14_136 ),
inference(resolution,[],[f45,f165919]) ).
fof(f171511,plain,
( ! [X12] : ~ big_f(sK5,sK10(sK5,X12))
| ~ spl14_1
| ~ spl14_3
| ~ spl14_9
| ~ spl14_10
| spl14_12
| ~ spl14_23
| ~ spl14_25
| spl14_36
| ~ spl14_52
| spl14_108
| ~ spl14_136
| spl14_152 ),
inference(subsumption_resolution,[],[f171439,f171393]) ).
fof(f171439,plain,
( ! [X12] :
( sK7 != X12
| ~ big_f(sK5,sK10(sK5,X12)) )
| ~ spl14_1
| ~ spl14_3
| ~ spl14_9
| ~ spl14_10
| spl14_12
| ~ spl14_23
| ~ spl14_25
| spl14_36
| ~ spl14_52
| spl14_108
| ~ spl14_136
| spl14_152 ),
inference(backward_demodulation,[],[f162185,f171393]) ).
fof(f162185,plain,
( ! [X12] :
( sK10(sK5,X12) != X12
| ~ big_f(sK5,sK10(sK5,X12)) )
| spl14_108 ),
inference(resolution,[],[f49,f9966]) ).
fof(f168297,plain,
( ~ spl14_9
| spl14_12
| spl14_105
| ~ spl14_136
| ~ spl14_500
| ~ spl14_633
| ~ spl14_636 ),
inference(avatar_contradiction_clause,[],[f168296]) ).
fof(f168296,plain,
( $false
| ~ spl14_9
| spl14_12
| spl14_105
| ~ spl14_136
| ~ spl14_500
| ~ spl14_633
| ~ spl14_636 ),
inference(subsumption_resolution,[],[f168295,f9104]) ).
fof(f168295,plain,
( sK5 = sK7
| ~ spl14_9
| spl14_12
| ~ spl14_136
| ~ spl14_500
| ~ spl14_633
| ~ spl14_636 ),
inference(forward_demodulation,[],[f168294,f165507]) ).
fof(f165507,plain,
( sK7 = sK11(sK7)
| ~ spl14_9
| spl14_12
| ~ spl14_633 ),
inference(forward_demodulation,[],[f140046,f140954]) ).
fof(f168294,plain,
( sK5 = sK11(sK7)
| ~ spl14_9
| spl14_12
| ~ spl14_136
| ~ spl14_500
| ~ spl14_636 ),
inference(subsumption_resolution,[],[f168275,f92]) ).
fof(f168275,plain,
( sK5 = sK11(sK7)
| ~ sP0(sK7)
| ~ spl14_9
| spl14_12
| ~ spl14_136
| ~ spl14_500
| ~ spl14_636 ),
inference(resolution,[],[f168274,f46]) ).
fof(f168274,plain,
( big_f(sK7,sK5)
| ~ spl14_9
| spl14_12
| ~ spl14_136
| ~ spl14_500
| ~ spl14_636 ),
inference(forward_demodulation,[],[f168273,f165480]) ).
fof(f165480,plain,
( sK7 = sK10(sK5,sK5)
| ~ spl14_9
| spl14_12
| ~ spl14_636 ),
inference(forward_demodulation,[],[f140059,f140954]) ).
fof(f168273,plain,
( big_f(sK10(sK5,sK5),sK5)
| ~ spl14_136
| ~ spl14_500 ),
inference(forward_demodulation,[],[f86187,f15669]) ).
fof(f168268,plain,
( ~ spl14_1
| ~ spl14_3
| ~ spl14_9
| ~ spl14_10
| spl14_12
| spl14_36
| ~ spl14_52
| ~ spl14_136
| spl14_500
| spl14_506
| ~ spl14_636 ),
inference(avatar_contradiction_clause,[],[f168267]) ).
fof(f168267,plain,
( $false
| ~ spl14_1
| ~ spl14_3
| ~ spl14_9
| ~ spl14_10
| spl14_12
| spl14_36
| ~ spl14_52
| ~ spl14_136
| spl14_500
| spl14_506
| ~ spl14_636 ),
inference(subsumption_resolution,[],[f168266,f166910]) ).
fof(f166910,plain,
( ! [X2] :
( sK8(sK5,X2) = X2
| sK5 = sK8(sK5,X2) )
| ~ spl14_1
| ~ spl14_3
| ~ spl14_9
| ~ spl14_10
| spl14_12
| spl14_36
| ~ spl14_52
| ~ spl14_136
| spl14_500
| ~ spl14_636 ),
inference(resolution,[],[f165972,f165759]) ).
fof(f165759,plain,
( ! [X8] :
( ~ big_f(X8,sK5)
| sK5 = X8 )
| ~ spl14_9
| ~ spl14_10
| spl14_12
| ~ spl14_136
| spl14_500
| ~ spl14_636 ),
inference(superposition,[],[f165586,f165343]) ).
fof(f165586,plain,
( ~ big_f(sK7,sK5)
| ~ spl14_9
| spl14_12
| ~ spl14_136
| spl14_500
| ~ spl14_636 ),
inference(backward_demodulation,[],[f144519,f165480]) ).
fof(f144519,plain,
( ~ big_f(sK10(sK5,sK5),sK5)
| ~ spl14_136
| spl14_500 ),
inference(forward_demodulation,[],[f111821,f15669]) ).
fof(f168266,plain,
( sK5 != sK8(sK5,sK5)
| ~ spl14_136
| spl14_506 ),
inference(forward_demodulation,[],[f86719,f15669]) ).
fof(f86719,plain,
( sK5 != sK8(sK13,sK5)
| spl14_506 ),
inference(avatar_component_clause,[],[f86718]) ).
fof(f86718,plain,
( spl14_506
<=> sK5 = sK8(sK13,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_506])]) ).
fof(f168263,plain,
( ~ spl14_1
| ~ spl14_3
| ~ spl14_9
| ~ spl14_10
| spl14_12
| ~ spl14_23
| spl14_36
| ~ spl14_52
| ~ spl14_136
| ~ spl14_506 ),
inference(avatar_contradiction_clause,[],[f168262]) ).
fof(f168262,plain,
( $false
| ~ spl14_1
| ~ spl14_3
| ~ spl14_9
| ~ spl14_10
| spl14_12
| ~ spl14_23
| spl14_36
| ~ spl14_52
| ~ spl14_136
| ~ spl14_506 ),
inference(subsumption_resolution,[],[f168261,f2289]) ).
fof(f168261,plain,
( ~ big_f(sK5,sK5)
| ~ spl14_1
| ~ spl14_3
| ~ spl14_9
| ~ spl14_10
| spl14_12
| spl14_36
| ~ spl14_52
| ~ spl14_136
| ~ spl14_506 ),
inference(trivial_inequality_removal,[],[f168245]) ).
fof(f168245,plain,
( sK5 != sK5
| ~ big_f(sK5,sK5)
| ~ spl14_1
| ~ spl14_3
| ~ spl14_9
| ~ spl14_10
| spl14_12
| spl14_36
| ~ spl14_52
| ~ spl14_136
| ~ spl14_506 ),
inference(superposition,[],[f168189,f144518]) ).
fof(f144518,plain,
( sK5 = sK8(sK5,sK5)
| ~ spl14_136
| ~ spl14_506 ),
inference(forward_demodulation,[],[f86733,f15669]) ).
fof(f86733,plain,
( sK5 = sK8(sK13,sK5)
| ~ spl14_506 ),
inference(avatar_component_clause,[],[f86718]) ).
fof(f165493,plain,
( spl14_19
| ~ spl14_23
| ~ spl14_136 ),
inference(avatar_contradiction_clause,[],[f165492]) ).
fof(f165492,plain,
( $false
| spl14_19
| ~ spl14_23
| ~ spl14_136 ),
inference(subsumption_resolution,[],[f140721,f2289]) ).
fof(f140721,plain,
( ~ big_f(sK5,sK5)
| spl14_19
| ~ spl14_136 ),
inference(forward_demodulation,[],[f333,f15669]) ).
fof(f333,plain,
( ~ big_f(sK5,sK13)
| spl14_19 ),
inference(avatar_component_clause,[],[f332]) ).
fof(f165491,plain,
( spl14_21
| ~ spl14_23
| ~ spl14_136 ),
inference(avatar_contradiction_clause,[],[f165490]) ).
fof(f165490,plain,
( $false
| spl14_21
| ~ spl14_23
| ~ spl14_136 ),
inference(subsumption_resolution,[],[f140720,f2289]) ).
fof(f140720,plain,
( ~ big_f(sK5,sK5)
| spl14_21
| ~ spl14_136 ),
inference(forward_demodulation,[],[f341,f15669]) ).
fof(f341,plain,
( ~ big_f(sK13,sK13)
| spl14_21 ),
inference(avatar_component_clause,[],[f340]) ).
fof(f165474,plain,
( spl14_52
| spl14_4
| ~ spl14_3
| ~ spl14_9
| spl14_12
| ~ spl14_136 ),
inference(avatar_split_clause,[],[f157737,f15666,f111,f91,f66,f71,f1776]) ).
fof(f157737,plain,
( ! [X4,X5] :
( sP1(sK5)
| sK5 = X4
| sK4(X4) = X5
| sK5 = X5 )
| ~ spl14_3
| ~ spl14_9
| spl14_12
| ~ spl14_136 ),
inference(superposition,[],[f67,f141362]) ).
fof(f165419,plain,
( spl14_4
| ~ spl14_17
| ~ spl14_136 ),
inference(avatar_contradiction_clause,[],[f165418]) ).
fof(f165418,plain,
( $false
| spl14_4
| ~ spl14_17
| ~ spl14_136 ),
inference(subsumption_resolution,[],[f164913,f1756]) ).
fof(f164913,plain,
( sP1(sK5)
| ~ spl14_17
| ~ spl14_136 ),
inference(forward_demodulation,[],[f14528,f15669]) ).
fof(f14528,plain,
( sP1(sK13)
| ~ spl14_17 ),
inference(avatar_component_clause,[],[f301]) ).
fof(f301,plain,
( spl14_17
<=> sP1(sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_17])]) ).
fof(f165381,plain,
( ~ spl14_1
| ~ spl14_4
| ~ spl14_46 ),
inference(avatar_contradiction_clause,[],[f165380]) ).
fof(f165380,plain,
( $false
| ~ spl14_1
| ~ spl14_4
| ~ spl14_46 ),
inference(subsumption_resolution,[],[f165379,f72]) ).
fof(f165379,plain,
( ~ sP1(sK5)
| ~ spl14_1
| ~ spl14_46 ),
inference(trivial_inequality_removal,[],[f165377]) ).
fof(f165377,plain,
( sK5 != sK5
| ~ sP1(sK5)
| ~ spl14_1
| ~ spl14_46 ),
inference(superposition,[],[f60,f1813]) ).
fof(f1813,plain,
( sK5 = sK4(sK5)
| ~ spl14_46 ),
inference(avatar_component_clause,[],[f1667]) ).
fof(f1667,plain,
( spl14_46
<=> sK5 = sK4(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_46])]) ).
fof(f165248,plain,
( ~ spl14_3
| ~ spl14_9
| spl14_12
| spl14_23
| ~ spl14_36
| ~ spl14_37
| ~ spl14_58
| ~ spl14_61
| spl14_105
| ~ spl14_136
| ~ spl14_638 ),
inference(avatar_contradiction_clause,[],[f165247]) ).
fof(f165247,plain,
( $false
| ~ spl14_3
| ~ spl14_9
| spl14_12
| spl14_23
| ~ spl14_36
| ~ spl14_37
| ~ spl14_58
| ~ spl14_61
| spl14_105
| ~ spl14_136
| ~ spl14_638 ),
inference(subsumption_resolution,[],[f165210,f147320]) ).
fof(f147320,plain,
( ! [X35] : ~ big_f(sK5,X35)
| spl14_12
| spl14_23
| ~ spl14_58
| ~ spl14_136 ),
inference(forward_demodulation,[],[f147318,f147303]) ).
fof(f147303,plain,
( ! [X0] : sK10(sK5,X0) = X0
| spl14_12
| spl14_23
| ~ spl14_58
| ~ spl14_136 ),
inference(subsumption_resolution,[],[f146964,f146971]) ).
fof(f146971,plain,
( ! [X0] :
( sK5 = X0
| sK10(sK5,X0) = X0 )
| spl14_12
| spl14_23
| ~ spl14_58
| ~ spl14_136 ),
inference(subsumption_resolution,[],[f146961,f385]) ).
fof(f146961,plain,
( ! [X0] :
( big_f(sK5,sK5)
| sK5 = X0
| sK10(sK5,X0) = X0 )
| spl14_12
| ~ spl14_58
| ~ spl14_136 ),
inference(superposition,[],[f140750,f146386]) ).
fof(f146386,plain,
( ! [X3] :
( sK10(sK5,X3) = X3
| sK5 = sK10(sK5,X3) )
| spl14_12
| ~ spl14_58
| ~ spl14_136 ),
inference(resolution,[],[f140750,f2223]) ).
fof(f2223,plain,
( ! [X3] :
( ~ big_f(sK5,X3)
| sK5 = X3 )
| ~ spl14_58 ),
inference(avatar_component_clause,[],[f2222]) ).
fof(f2222,plain,
( spl14_58
<=> ! [X3] :
( ~ big_f(sK5,X3)
| sK5 = X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_58])]) ).
fof(f140750,plain,
( ! [X15] :
( big_f(sK5,sK10(sK5,X15))
| sK10(sK5,X15) = X15 )
| spl14_12
| ~ spl14_136 ),
inference(forward_demodulation,[],[f140749,f15669]) ).
fof(f140749,plain,
( ! [X15] :
( big_f(sK5,sK10(sK5,X15))
| sK10(sK13,X15) = X15 )
| spl14_12
| ~ spl14_136 ),
inference(forward_demodulation,[],[f47197,f15669]) ).
fof(f47197,plain,
( ! [X15] :
( big_f(sK13,sK10(sK13,X15))
| sK10(sK13,X15) = X15 )
| spl14_12 ),
inference(resolution,[],[f48,f112]) ).
fof(f146964,plain,
( ! [X0] :
( sK5 != X0
| sK10(sK5,X0) = X0 )
| spl14_12
| ~ spl14_58
| ~ spl14_136 ),
inference(equality_factoring,[],[f146386]) ).
fof(f147318,plain,
( ! [X35] : ~ big_f(sK5,sK10(sK5,X35))
| spl14_12
| spl14_23
| ~ spl14_58
| ~ spl14_136 ),
inference(trivial_inequality_removal,[],[f147308]) ).
fof(f147308,plain,
( ! [X35] :
( X35 != X35
| ~ big_f(sK5,sK10(sK5,X35)) )
| spl14_12
| spl14_23
| ~ spl14_58
| ~ spl14_136 ),
inference(backward_demodulation,[],[f140748,f147303]) ).
fof(f140748,plain,
( ! [X35] :
( sK10(sK5,X35) != X35
| ~ big_f(sK5,sK10(sK5,X35)) )
| spl14_12
| ~ spl14_136 ),
inference(forward_demodulation,[],[f140747,f15669]) ).
fof(f140747,plain,
( ! [X35] :
( sK10(sK5,X35) != X35
| ~ big_f(sK13,sK10(sK13,X35)) )
| spl14_12
| ~ spl14_136 ),
inference(forward_demodulation,[],[f70773,f15669]) ).
fof(f70773,plain,
( ! [X35] :
( sK10(sK13,X35) != X35
| ~ big_f(sK13,sK10(sK13,X35)) )
| spl14_12 ),
inference(resolution,[],[f49,f112]) ).
fof(f165210,plain,
( big_f(sK5,sK5)
| ~ spl14_3
| ~ spl14_9
| spl14_12
| spl14_23
| ~ spl14_36
| ~ spl14_37
| ~ spl14_58
| ~ spl14_61
| spl14_105
| ~ spl14_136
| ~ spl14_638 ),
inference(backward_demodulation,[],[f164977,f165155]) ).
fof(f165155,plain,
( ! [X6] : sK5 = X6
| ~ spl14_3
| ~ spl14_9
| spl14_12
| spl14_23
| ~ spl14_36
| ~ spl14_37
| ~ spl14_58
| ~ spl14_61
| spl14_105
| ~ spl14_136
| ~ spl14_638 ),
inference(duplicate_literal_removal,[],[f165154]) ).
fof(f165154,plain,
( ! [X6] :
( sK5 = X6
| sK5 = X6 )
| ~ spl14_3
| ~ spl14_9
| spl14_12
| spl14_23
| ~ spl14_36
| ~ spl14_37
| ~ spl14_58
| ~ spl14_61
| spl14_105
| ~ spl14_136
| ~ spl14_638 ),
inference(forward_demodulation,[],[f165153,f165143]) ).
fof(f165143,plain,
( sK5 = sK11(sK7)
| ~ spl14_3
| ~ spl14_9
| spl14_12
| ~ spl14_37
| spl14_105
| ~ spl14_638 ),
inference(subsumption_resolution,[],[f165137,f92]) ).
fof(f165137,plain,
( sK5 = sK11(sK7)
| ~ sP0(sK7)
| ~ spl14_3
| ~ spl14_9
| spl14_12
| ~ spl14_37
| spl14_105
| ~ spl14_638 ),
inference(resolution,[],[f46,f164977]) ).
fof(f165153,plain,
( ! [X6] :
( sK11(sK7) = X6
| sK5 = X6 )
| ~ spl14_9
| spl14_12
| spl14_23
| ~ spl14_36
| ~ spl14_58
| ~ spl14_61
| ~ spl14_136 ),
inference(subsumption_resolution,[],[f165138,f92]) ).
fof(f165138,plain,
( ! [X6] :
( sK11(sK7) = X6
| ~ sP0(sK7)
| sK5 = X6 )
| ~ spl14_9
| spl14_12
| spl14_23
| ~ spl14_36
| ~ spl14_58
| ~ spl14_61
| ~ spl14_136 ),
inference(resolution,[],[f46,f165038]) ).
fof(f165038,plain,
( ! [X0] :
( big_f(sK7,X0)
| sK5 = X0 )
| ~ spl14_9
| spl14_12
| spl14_23
| ~ spl14_36
| ~ spl14_58
| ~ spl14_61
| ~ spl14_136 ),
inference(subsumption_resolution,[],[f165037,f164342]) ).
fof(f164342,plain,
( ! [X6] :
( sP1(X6)
| sK5 = X6 )
| spl14_12
| spl14_23
| ~ spl14_36
| ~ spl14_58
| ~ spl14_61
| ~ spl14_136 ),
inference(superposition,[],[f1214,f153636]) ).
fof(f153636,plain,
( ! [X0] :
( sK7 = X0
| sK5 = X0 )
| spl14_12
| spl14_23
| ~ spl14_58
| ~ spl14_61
| ~ spl14_136 ),
inference(subsumption_resolution,[],[f146398,f147320]) ).
fof(f146398,plain,
( ! [X0] :
( big_f(sK5,sK5)
| sK5 = X0
| sK7 = X0 )
| spl14_12
| ~ spl14_61
| ~ spl14_136 ),
inference(superposition,[],[f140750,f2294]) ).
fof(f2294,plain,
( ! [X8] :
( sK5 = sK10(sK5,X8)
| sK7 = X8 )
| ~ spl14_61 ),
inference(avatar_component_clause,[],[f2293]) ).
fof(f2293,plain,
( spl14_61
<=> ! [X8] :
( sK7 = X8
| sK5 = sK10(sK5,X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_61])]) ).
fof(f1214,plain,
( sP1(sK7)
| ~ spl14_36 ),
inference(avatar_component_clause,[],[f1145]) ).
fof(f165037,plain,
( ! [X0] :
( big_f(sK7,X0)
| ~ sP1(X0)
| sK5 = X0 )
| ~ spl14_9
| spl14_12
| spl14_23
| ~ spl14_36
| ~ spl14_58
| ~ spl14_61
| ~ spl14_136 ),
inference(superposition,[],[f56,f164829]) ).
fof(f164829,plain,
( ! [X0] :
( sK7 = sK9(X0)
| sK5 = X0 )
| ~ spl14_9
| spl14_12
| spl14_23
| ~ spl14_36
| ~ spl14_58
| ~ spl14_61
| ~ spl14_136 ),
inference(resolution,[],[f157547,f164342]) ).
fof(f157547,plain,
( ! [X0] :
( ~ sP1(X0)
| sK7 = sK9(X0) )
| ~ spl14_9
| spl14_12
| spl14_23
| ~ spl14_58
| ~ spl14_136 ),
inference(forward_demodulation,[],[f157546,f140954]) ).
fof(f157546,plain,
( ! [X0] :
( ~ sP1(X0)
| sK9(X0) = sK12 )
| spl14_12
| spl14_23
| ~ spl14_58
| ~ spl14_136 ),
inference(subsumption_resolution,[],[f140812,f147320]) ).
fof(f140812,plain,
( ! [X0] :
( big_f(sK5,X0)
| ~ sP1(X0)
| sK9(X0) = sK12 )
| ~ spl14_136 ),
inference(forward_demodulation,[],[f104,f15669]) ).
fof(f104,plain,
! [X0] :
( big_f(sK13,X0)
| ~ sP1(X0)
| sK9(X0) = sK12 ),
inference(superposition,[],[f56,f53]) ).
fof(f164977,plain,
( big_f(sK7,sK5)
| ~ spl14_3
| ~ spl14_9
| spl14_12
| ~ spl14_37
| spl14_105
| ~ spl14_638 ),
inference(subsumption_resolution,[],[f164976,f164895]) ).
fof(f164895,plain,
( sP1(sK5)
| ~ spl14_3
| ~ spl14_37
| spl14_105 ),
inference(subsumption_resolution,[],[f164890,f9104]) ).
fof(f164890,plain,
( sP1(sK5)
| sK5 = sK7
| ~ spl14_3
| ~ spl14_37 ),
inference(superposition,[],[f67,f164887]) ).
fof(f164887,plain,
( sK5 = sK4(sK7)
| ~ spl14_37 ),
inference(equality_resolution,[],[f1149]) ).
fof(f1149,plain,
( ! [X0] :
( sK7 != X0
| sK4(X0) = sK5 )
| ~ spl14_37 ),
inference(avatar_component_clause,[],[f1148]) ).
fof(f164976,plain,
( big_f(sK7,sK5)
| ~ sP1(sK5)
| ~ spl14_9
| spl14_12
| ~ spl14_638 ),
inference(superposition,[],[f56,f164943]) ).
fof(f164943,plain,
( sK7 = sK9(sK5)
| ~ spl14_9
| spl14_12
| ~ spl14_638 ),
inference(forward_demodulation,[],[f140070,f140954]) ).
fof(f164911,plain,
( ~ spl14_3
| spl14_4
| ~ spl14_37
| spl14_105 ),
inference(avatar_contradiction_clause,[],[f164910]) ).
fof(f164910,plain,
( $false
| ~ spl14_3
| spl14_4
| ~ spl14_37
| spl14_105 ),
inference(subsumption_resolution,[],[f1756,f164895]) ).
fof(f164258,plain,
( ~ spl14_1
| ~ spl14_3
| ~ spl14_9
| spl14_12
| spl14_23
| spl14_36
| spl14_57
| ~ spl14_58
| ~ spl14_61
| spl14_105
| ~ spl14_136
| ~ spl14_152
| spl14_181 ),
inference(avatar_contradiction_clause,[],[f164257]) ).
fof(f164257,plain,
( $false
| ~ spl14_1
| ~ spl14_3
| ~ spl14_9
| spl14_12
| spl14_23
| spl14_36
| spl14_57
| ~ spl14_58
| ~ spl14_61
| spl14_105
| ~ spl14_136
| ~ spl14_152
| spl14_181 ),
inference(subsumption_resolution,[],[f164252,f17781]) ).
fof(f164252,plain,
( ~ big_f(sK7,sK7)
| ~ spl14_1
| ~ spl14_3
| ~ spl14_9
| spl14_12
| spl14_23
| spl14_36
| spl14_57
| ~ spl14_58
| ~ spl14_61
| spl14_105
| ~ spl14_136
| spl14_181 ),
inference(trivial_inequality_removal,[],[f164248]) ).
fof(f164248,plain,
( sK7 != sK7
| ~ big_f(sK7,sK7)
| ~ spl14_1
| ~ spl14_3
| ~ spl14_9
| spl14_12
| spl14_23
| spl14_36
| spl14_57
| ~ spl14_58
| ~ spl14_61
| spl14_105
| ~ spl14_136
| spl14_181 ),
inference(superposition,[],[f159353,f164213]) ).
fof(f164213,plain,
( sK7 = sK8(sK7,sK7)
| ~ spl14_1
| ~ spl14_3
| ~ spl14_9
| spl14_12
| spl14_23
| spl14_36
| spl14_57
| ~ spl14_58
| ~ spl14_61
| spl14_105
| ~ spl14_136
| spl14_181 ),
inference(equality_resolution,[],[f164186]) ).
fof(f164186,plain,
( ! [X0] :
( sK7 != X0
| sK7 = sK8(sK7,X0) )
| ~ spl14_1
| ~ spl14_3
| ~ spl14_9
| spl14_12
| spl14_23
| spl14_36
| spl14_57
| ~ spl14_58
| ~ spl14_61
| spl14_105
| ~ spl14_136
| spl14_181 ),
inference(equality_factoring,[],[f158285]) ).
fof(f158285,plain,
( ! [X19] :
( sK8(sK7,X19) = X19
| sK7 = sK8(sK7,X19) )
| ~ spl14_1
| ~ spl14_3
| ~ spl14_9
| spl14_12
| spl14_23
| spl14_36
| spl14_57
| ~ spl14_58
| ~ spl14_61
| spl14_105
| ~ spl14_136
| spl14_181 ),
inference(resolution,[],[f158238,f145890]) ).
fof(f145890,plain,
( ! [X3] :
( ~ big_f(X3,sK7)
| sK7 = X3 )
| ~ spl14_9
| spl14_12
| spl14_57
| spl14_105 ),
inference(subsumption_resolution,[],[f145759,f9104]) ).
fof(f145759,plain,
( ! [X3] :
( ~ big_f(X3,sK7)
| sK7 = X3
| sK5 = sK7 )
| ~ spl14_9
| spl14_12
| spl14_57 ),
inference(superposition,[],[f2217,f140986]) ).
fof(f140986,plain,
( ! [X0,X1] :
( sK7 = X1
| sK7 = X0
| X0 = X1 )
| ~ spl14_9
| spl14_12 ),
inference(forward_demodulation,[],[f140955,f140954]) ).
fof(f140955,plain,
( ! [X0,X1] :
( sK7 = X0
| X0 = X1
| sK12 = X1 )
| ~ spl14_9
| spl14_12 ),
inference(backward_demodulation,[],[f101,f140954]) ).
fof(f158238,plain,
( ! [X0,X1] :
( big_f(sK8(X0,X1),X0)
| sK8(X0,X1) = X1 )
| ~ spl14_1
| ~ spl14_3
| ~ spl14_9
| spl14_12
| spl14_23
| spl14_36
| ~ spl14_58
| ~ spl14_61
| ~ spl14_136
| spl14_181 ),
inference(resolution,[],[f44,f158018]) ).
fof(f158018,plain,
( ! [X0] : ~ sP1(X0)
| ~ spl14_1
| ~ spl14_3
| ~ spl14_9
| spl14_12
| spl14_23
| spl14_36
| ~ spl14_58
| ~ spl14_61
| ~ spl14_136
| spl14_181 ),
inference(forward_demodulation,[],[f158017,f157992]) ).
fof(f157992,plain,
( ! [X0] : sK4(X0) = X0
| ~ spl14_3
| ~ spl14_9
| spl14_12
| spl14_23
| spl14_36
| ~ spl14_58
| ~ spl14_61
| ~ spl14_136
| spl14_181 ),
inference(subsumption_resolution,[],[f157985,f157754]) ).
fof(f157754,plain,
( ! [X4,X5] :
( sK5 = X4
| sK4(X4) = X5
| sK5 = X5 )
| ~ spl14_3
| ~ spl14_9
| spl14_12
| spl14_23
| ~ spl14_58
| ~ spl14_136
| spl14_181 ),
inference(subsumption_resolution,[],[f157737,f157540]) ).
fof(f157540,plain,
( ~ sP1(sK5)
| spl14_12
| spl14_23
| ~ spl14_58
| ~ spl14_136
| spl14_181 ),
inference(forward_demodulation,[],[f23294,f147303]) ).
fof(f157985,plain,
( ! [X0] :
( sK5 != X0
| sK4(X0) = X0 )
| ~ spl14_3
| spl14_12
| spl14_23
| spl14_36
| ~ spl14_58
| ~ spl14_61
| ~ spl14_136 ),
inference(equality_factoring,[],[f157733]) ).
fof(f157733,plain,
( ! [X3] :
( sK4(X3) = X3
| sK5 = sK4(X3) )
| ~ spl14_3
| spl14_12
| spl14_23
| spl14_36
| ~ spl14_58
| ~ spl14_61
| ~ spl14_136 ),
inference(resolution,[],[f67,f157553]) ).
fof(f157553,plain,
( ! [X6] :
( ~ sP1(X6)
| sK5 = X6 )
| spl14_12
| spl14_23
| spl14_36
| ~ spl14_58
| ~ spl14_61
| ~ spl14_136 ),
inference(superposition,[],[f1146,f153636]) ).
fof(f158017,plain,
( ! [X0] : ~ sP1(sK4(X0))
| ~ spl14_1
| ~ spl14_3
| ~ spl14_9
| spl14_12
| spl14_23
| spl14_36
| ~ spl14_58
| ~ spl14_61
| ~ spl14_136
| spl14_181 ),
inference(trivial_inequality_removal,[],[f157993]) ).
fof(f157993,plain,
( ! [X0] :
( X0 != X0
| ~ sP1(sK4(X0)) )
| ~ spl14_1
| ~ spl14_3
| ~ spl14_9
| spl14_12
| spl14_23
| spl14_36
| ~ spl14_58
| ~ spl14_61
| ~ spl14_136
| spl14_181 ),
inference(backward_demodulation,[],[f60,f157992]) ).
fof(f159353,plain,
( ! [X0,X1] :
( sK8(X0,X1) != X1
| ~ big_f(sK8(X0,X1),X0) )
| ~ spl14_1
| ~ spl14_3
| ~ spl14_9
| spl14_12
| spl14_23
| spl14_36
| ~ spl14_58
| ~ spl14_61
| ~ spl14_136
| spl14_181 ),
inference(resolution,[],[f45,f158018]) ).
fof(f159692,plain,
( ~ spl14_1
| ~ spl14_3
| ~ spl14_9
| spl14_12
| spl14_23
| spl14_24
| spl14_36
| ~ spl14_58
| ~ spl14_61
| ~ spl14_136
| spl14_181
| ~ spl14_203 ),
inference(avatar_contradiction_clause,[],[f159691]) ).
fof(f159691,plain,
( $false
| ~ spl14_1
| ~ spl14_3
| ~ spl14_9
| spl14_12
| spl14_23
| spl14_24
| spl14_36
| ~ spl14_58
| ~ spl14_61
| ~ spl14_136
| spl14_181
| ~ spl14_203 ),
inference(subsumption_resolution,[],[f27133,f159396]) ).
fof(f159396,plain,
( ~ big_f(sK7,sK5)
| ~ spl14_1
| ~ spl14_3
| ~ spl14_9
| spl14_12
| spl14_23
| spl14_24
| spl14_36
| ~ spl14_58
| ~ spl14_61
| ~ spl14_136
| spl14_181 ),
inference(trivial_inequality_removal,[],[f159360]) ).
fof(f159360,plain,
( sK7 != sK7
| ~ big_f(sK7,sK5)
| ~ spl14_1
| ~ spl14_3
| ~ spl14_9
| spl14_12
| spl14_23
| spl14_24
| spl14_36
| ~ spl14_58
| ~ spl14_61
| ~ spl14_136
| spl14_181 ),
inference(superposition,[],[f159353,f159062]) ).
fof(f159062,plain,
( sK7 = sK8(sK5,sK7)
| ~ spl14_1
| ~ spl14_3
| ~ spl14_9
| spl14_12
| spl14_23
| spl14_24
| spl14_36
| ~ spl14_58
| ~ spl14_61
| ~ spl14_136
| spl14_181 ),
inference(equality_resolution,[],[f159037]) ).
fof(f159037,plain,
( ! [X0] :
( sK7 != X0
| sK7 = sK8(sK5,X0) )
| ~ spl14_1
| ~ spl14_3
| ~ spl14_9
| spl14_12
| spl14_23
| spl14_24
| spl14_36
| ~ spl14_58
| ~ spl14_61
| ~ spl14_136
| spl14_181 ),
inference(equality_factoring,[],[f158283]) ).
fof(f158283,plain,
( ! [X17] :
( sK8(sK5,X17) = X17
| sK7 = sK8(sK5,X17) )
| ~ spl14_1
| ~ spl14_3
| ~ spl14_9
| spl14_12
| spl14_23
| spl14_24
| spl14_36
| ~ spl14_58
| ~ spl14_61
| ~ spl14_136
| spl14_181 ),
inference(resolution,[],[f158238,f140966]) ).
fof(f140966,plain,
( ! [X4] :
( ~ big_f(X4,sK5)
| sK7 = X4 )
| ~ spl14_9
| spl14_12
| spl14_24 ),
inference(backward_demodulation,[],[f139859,f140954]) ).
fof(f139859,plain,
( ! [X4] :
( ~ big_f(X4,sK5)
| sK12 = X4 )
| spl14_24 ),
inference(superposition,[],[f406,f53]) ).
fof(f406,plain,
( ~ big_f(sK13,sK5)
| spl14_24 ),
inference(avatar_component_clause,[],[f405]) ).
fof(f27133,plain,
( big_f(sK7,sK5)
| ~ spl14_203 ),
inference(avatar_component_clause,[],[f27132]) ).
fof(f27132,plain,
( spl14_203
<=> big_f(sK7,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_203])]) ).
fof(f145544,plain,
( ~ spl14_9
| spl14_12
| spl14_23
| ~ spl14_106
| spl14_108
| ~ spl14_136 ),
inference(avatar_contradiction_clause,[],[f145543]) ).
fof(f145543,plain,
( $false
| ~ spl14_9
| spl14_12
| spl14_23
| ~ spl14_106
| spl14_108
| ~ spl14_136 ),
inference(subsumption_resolution,[],[f145493,f9966]) ).
fof(f145493,plain,
( sP0(sK5)
| ~ spl14_9
| spl14_12
| spl14_23
| ~ spl14_106
| ~ spl14_136 ),
inference(backward_demodulation,[],[f92,f145486]) ).
fof(f145486,plain,
( ! [X15] : sK5 = X15
| spl14_12
| spl14_23
| ~ spl14_106
| ~ spl14_136 ),
inference(subsumption_resolution,[],[f145485,f385]) ).
fof(f145485,plain,
( ! [X15] :
( big_f(sK5,sK5)
| sK5 = X15 )
| spl14_12
| ~ spl14_106
| ~ spl14_136 ),
inference(forward_demodulation,[],[f145474,f9119]) ).
fof(f9119,plain,
( ! [X11] : sK5 = sK10(sK5,X11)
| ~ spl14_106 ),
inference(avatar_component_clause,[],[f9118]) ).
fof(f9118,plain,
( spl14_106
<=> ! [X11] : sK5 = sK10(sK5,X11) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_106])]) ).
fof(f145474,plain,
( ! [X15] :
( sK5 = X15
| big_f(sK5,sK10(sK5,X15)) )
| spl14_12
| ~ spl14_106
| ~ spl14_136 ),
inference(backward_demodulation,[],[f140750,f9119]) ).
fof(f145464,plain,
( spl14_57
| ~ spl14_136
| ~ spl14_150 ),
inference(avatar_contradiction_clause,[],[f145463]) ).
fof(f145463,plain,
( $false
| spl14_57
| ~ spl14_136
| ~ spl14_150 ),
inference(subsumption_resolution,[],[f145299,f2217]) ).
fof(f145299,plain,
( big_f(sK5,sK7)
| ~ spl14_136
| ~ spl14_150 ),
inference(forward_demodulation,[],[f17773,f15669]) ).
fof(f17773,plain,
( big_f(sK13,sK7)
| ~ spl14_150 ),
inference(avatar_component_clause,[],[f17772]) ).
fof(f17772,plain,
( spl14_150
<=> big_f(sK13,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_150])]) ).
fof(f145452,plain,
( spl14_12
| spl14_23
| spl14_105
| ~ spl14_136
| ~ spl14_290 ),
inference(avatar_contradiction_clause,[],[f145451]) ).
fof(f145451,plain,
( $false
| spl14_12
| spl14_23
| spl14_105
| ~ spl14_136
| ~ spl14_290 ),
inference(subsumption_resolution,[],[f145450,f9104]) ).
fof(f145450,plain,
( sK5 = sK7
| spl14_12
| spl14_23
| ~ spl14_136
| ~ spl14_290 ),
inference(subsumption_resolution,[],[f145446,f385]) ).
fof(f145446,plain,
( big_f(sK5,sK5)
| sK5 = sK7
| spl14_12
| ~ spl14_136
| ~ spl14_290 ),
inference(superposition,[],[f140750,f145423]) ).
fof(f145423,plain,
( sK5 = sK10(sK5,sK7)
| ~ spl14_290 ),
inference(equality_resolution,[],[f38618]) ).
fof(f38618,plain,
( ! [X11] :
( sK7 != X11
| sK5 = sK10(sK5,X11) )
| ~ spl14_290 ),
inference(avatar_component_clause,[],[f38617]) ).
fof(f38617,plain,
( spl14_290
<=> ! [X11] :
( sK7 != X11
| sK5 = sK10(sK5,X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_290])]) ).
fof(f145297,plain,
( ~ spl14_9
| spl14_12
| spl14_25
| ~ spl14_57 ),
inference(avatar_contradiction_clause,[],[f145296]) ).
fof(f145296,plain,
( $false
| ~ spl14_9
| spl14_12
| spl14_25
| ~ spl14_57 ),
inference(subsumption_resolution,[],[f2295,f140958]) ).
fof(f140958,plain,
( ~ big_f(sK5,sK7)
| ~ spl14_9
| spl14_12
| spl14_25 ),
inference(backward_demodulation,[],[f854,f140954]) ).
fof(f2295,plain,
( big_f(sK5,sK7)
| ~ spl14_57 ),
inference(avatar_component_clause,[],[f2216]) ).
fof(f145286,plain,
( ~ spl14_57
| spl14_290
| ~ spl14_9
| spl14_12
| ~ spl14_136 ),
inference(avatar_split_clause,[],[f145218,f15666,f111,f91,f38617,f2216]) ).
fof(f145218,plain,
( ! [X1] :
( sK7 != X1
| ~ big_f(sK5,sK7)
| sK5 = sK10(sK5,X1) )
| ~ spl14_9
| spl14_12
| ~ spl14_136 ),
inference(superposition,[],[f140748,f140983]) ).
fof(f145283,plain,
( spl14_106
| spl14_58
| ~ spl14_9
| spl14_12
| ~ spl14_136
| spl14_150 ),
inference(avatar_split_clause,[],[f145282,f17772,f15666,f111,f91,f2222,f9118]) ).
fof(f145282,plain,
( ! [X10,X11] :
( ~ big_f(sK5,X11)
| sK5 = X11
| sK5 = sK10(sK5,X10) )
| ~ spl14_9
| spl14_12
| ~ spl14_136
| spl14_150 ),
inference(subsumption_resolution,[],[f145223,f145276]) ).
fof(f145276,plain,
( ! [X12,X13] :
( X12 = X13
| sK5 = sK10(sK5,X12)
| sK5 = X13 )
| ~ spl14_9
| spl14_12
| ~ spl14_136
| spl14_150 ),
inference(subsumption_resolution,[],[f145249,f141255]) ).
fof(f141255,plain,
( ! [X0,X1] :
( ~ big_f(X1,X0)
| X0 = X1
| sK5 = X0 )
| ~ spl14_9
| spl14_12
| ~ spl14_136
| spl14_150 ),
inference(superposition,[],[f140967,f140983]) ).
fof(f140967,plain,
( ! [X6] :
( ~ big_f(X6,sK7)
| sK7 = X6 )
| ~ spl14_9
| spl14_12
| spl14_150 ),
inference(backward_demodulation,[],[f139861,f140954]) ).
fof(f139861,plain,
( ! [X6] :
( ~ big_f(X6,sK7)
| sK12 = X6 )
| spl14_150 ),
inference(superposition,[],[f21569,f53]) ).
fof(f21569,plain,
( ~ big_f(sK13,sK7)
| spl14_150 ),
inference(avatar_component_clause,[],[f17772]) ).
fof(f145249,plain,
( ! [X12,X13] :
( big_f(sK5,X13)
| X12 = X13
| sK5 = sK10(sK5,X12)
| sK5 = X13 )
| ~ spl14_9
| spl14_12
| ~ spl14_136 ),
inference(superposition,[],[f140750,f141362]) ).
fof(f145223,plain,
( ! [X10,X11] :
( X10 != X11
| ~ big_f(sK5,X11)
| sK5 = X11
| sK5 = sK10(sK5,X10) )
| ~ spl14_9
| spl14_12
| ~ spl14_136 ),
inference(superposition,[],[f140748,f141362]) ).
fof(f145279,plain,
( spl14_61
| spl14_57
| ~ spl14_9
| spl14_12
| ~ spl14_136 ),
inference(avatar_split_clause,[],[f145243,f15666,f111,f91,f2216,f2293]) ).
fof(f145243,plain,
( ! [X1] :
( big_f(sK5,sK7)
| sK7 = X1
| sK5 = sK10(sK5,X1) )
| ~ spl14_9
| spl14_12
| ~ spl14_136 ),
inference(superposition,[],[f140750,f140983]) ).
fof(f145259,plain,
( ~ spl14_9
| spl14_12
| spl14_57
| spl14_105
| ~ spl14_136
| ~ spl14_636 ),
inference(avatar_contradiction_clause,[],[f145258]) ).
fof(f145258,plain,
( $false
| ~ spl14_9
| spl14_12
| spl14_57
| spl14_105
| ~ spl14_136
| ~ spl14_636 ),
inference(subsumption_resolution,[],[f145257,f9104]) ).
fof(f145257,plain,
( sK5 = sK7
| ~ spl14_9
| spl14_12
| spl14_57
| spl14_105
| ~ spl14_136
| ~ spl14_636 ),
inference(subsumption_resolution,[],[f145252,f2217]) ).
fof(f145252,plain,
( big_f(sK5,sK7)
| sK5 = sK7
| ~ spl14_9
| spl14_12
| spl14_105
| ~ spl14_136
| ~ spl14_636 ),
inference(duplicate_literal_removal,[],[f145242]) ).
fof(f145242,plain,
( big_f(sK5,sK7)
| sK5 = sK7
| sK5 = sK7
| ~ spl14_9
| spl14_12
| spl14_105
| ~ spl14_136
| ~ spl14_636 ),
inference(superposition,[],[f140750,f141679]) ).
fof(f141679,plain,
( ! [X12] :
( sK7 = sK10(X12,X12)
| sK7 = X12 )
| ~ spl14_9
| spl14_12
| spl14_105
| ~ spl14_636 ),
inference(subsumption_resolution,[],[f141546,f9104]) ).
fof(f141546,plain,
( ! [X12] :
( sK7 = sK10(X12,X12)
| sK7 = X12
| sK5 = sK7 )
| ~ spl14_9
| spl14_12
| ~ spl14_636 ),
inference(superposition,[],[f140971,f140986]) ).
fof(f140971,plain,
( sK7 = sK10(sK5,sK5)
| ~ spl14_9
| spl14_12
| ~ spl14_636 ),
inference(backward_demodulation,[],[f140059,f140954]) ).
fof(f141219,plain,
( ~ spl14_9
| spl14_12
| spl14_152
| ~ spl14_633 ),
inference(avatar_contradiction_clause,[],[f141218]) ).
fof(f141218,plain,
( $false
| ~ spl14_9
| spl14_12
| spl14_152
| ~ spl14_633 ),
inference(subsumption_resolution,[],[f141217,f92]) ).
fof(f141217,plain,
( ~ sP0(sK7)
| ~ spl14_9
| spl14_12
| spl14_152
| ~ spl14_633 ),
inference(subsumption_resolution,[],[f141215,f18492]) ).
fof(f141215,plain,
( big_f(sK7,sK7)
| ~ sP0(sK7)
| ~ spl14_9
| spl14_12
| ~ spl14_633 ),
inference(superposition,[],[f57,f140970]) ).
fof(f140970,plain,
( sK7 = sK11(sK7)
| ~ spl14_9
| spl14_12
| ~ spl14_633 ),
inference(backward_demodulation,[],[f140046,f140954]) ).
fof(f141056,plain,
( ~ spl14_13
| spl14_105
| ~ spl14_136 ),
inference(avatar_contradiction_clause,[],[f141055]) ).
fof(f141055,plain,
( $false
| ~ spl14_13
| spl14_105
| ~ spl14_136 ),
inference(trivial_inequality_removal,[],[f141018]) ).
fof(f141018,plain,
( sK5 != sK5
| ~ spl14_13
| spl14_105
| ~ spl14_136 ),
inference(backward_demodulation,[],[f9104,f141005]) ).
fof(f141005,plain,
( ! [X1] : sK5 = X1
| ~ spl14_13
| ~ spl14_136 ),
inference(forward_demodulation,[],[f125,f15669]) ).
fof(f140988,plain,
( ~ spl14_9
| spl14_12
| spl14_14 ),
inference(avatar_contradiction_clause,[],[f140987]) ).
fof(f140987,plain,
( $false
| ~ spl14_9
| spl14_12
| spl14_14 ),
inference(subsumption_resolution,[],[f140956,f92]) ).
fof(f140956,plain,
( ~ sP0(sK7)
| ~ spl14_9
| spl14_12
| spl14_14 ),
inference(backward_demodulation,[],[f128,f140954]) ).
fof(f140580,plain,
( spl14_638
| ~ spl14_136
| spl14_159 ),
inference(avatar_split_clause,[],[f140265,f18359,f15666,f140069]) ).
fof(f140265,plain,
( sK5 != sK13
| sK12 = sK9(sK5)
| spl14_159 ),
inference(superposition,[],[f43521,f53]) ).
fof(f140579,plain,
( ~ spl14_5
| ~ spl14_17
| spl14_136 ),
inference(avatar_contradiction_clause,[],[f140578]) ).
fof(f140578,plain,
( $false
| ~ spl14_5
| ~ spl14_17
| spl14_136 ),
inference(subsumption_resolution,[],[f140575,f15667]) ).
fof(f140575,plain,
( sK5 = sK13
| ~ spl14_5
| ~ spl14_17 ),
inference(resolution,[],[f76,f14528]) ).
fof(f140577,plain,
( ~ spl14_5
| ~ spl14_36
| spl14_105 ),
inference(avatar_contradiction_clause,[],[f140576]) ).
fof(f140576,plain,
( $false
| ~ spl14_5
| ~ spl14_36
| spl14_105 ),
inference(subsumption_resolution,[],[f140573,f9104]) ).
fof(f140573,plain,
( sK5 = sK7
| ~ spl14_5
| ~ spl14_36 ),
inference(resolution,[],[f76,f1214]) ).
fof(f140561,plain,
( ~ spl14_4
| spl14_50
| ~ spl14_203 ),
inference(avatar_split_clause,[],[f139733,f27132,f1766,f71]) ).
fof(f139733,plain,
( sK7 = sK9(sK5)
| ~ sP1(sK5)
| ~ spl14_203 ),
inference(resolution,[],[f27133,f42]) ).
fof(f140560,plain,
( ~ spl14_9
| spl14_12
| spl14_105
| spl14_136 ),
inference(avatar_contradiction_clause,[],[f140559]) ).
fof(f140559,plain,
( $false
| ~ spl14_9
| spl14_12
| spl14_105
| spl14_136 ),
inference(subsumption_resolution,[],[f140558,f9104]) ).
fof(f140558,plain,
( sK5 = sK7
| ~ spl14_9
| spl14_12
| spl14_136 ),
inference(equality_resolution,[],[f140467]) ).
fof(f140467,plain,
( ! [X5] :
( sK5 != X5
| sK7 = X5 )
| ~ spl14_9
| spl14_12
| spl14_136 ),
inference(backward_demodulation,[],[f139860,f140454]) ).
fof(f140454,plain,
( sK7 = sK12
| ~ spl14_9
| spl14_12 ),
inference(resolution,[],[f139856,f92]) ).
fof(f139860,plain,
( ! [X5] :
( sK5 != X5
| sK12 = X5 )
| spl14_136 ),
inference(superposition,[],[f15667,f53]) ).
fof(f140501,plain,
( ~ spl14_36
| spl14_55
| ~ spl14_57 ),
inference(avatar_split_clause,[],[f139724,f2216,f1827,f1145]) ).
fof(f139724,plain,
( sK5 = sK9(sK7)
| ~ sP1(sK7)
| ~ spl14_57 ),
inference(resolution,[],[f2295,f42]) ).
fof(f140449,plain,
( spl14_634
| ~ spl14_136
| spl14_158 ),
inference(avatar_split_clause,[],[f140270,f18356,f15666,f140049]) ).
fof(f18356,plain,
( spl14_158
<=> sK5 = sK11(sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_158])]) ).
fof(f140270,plain,
( sK5 != sK13
| sK12 = sK11(sK13)
| spl14_158 ),
inference(superposition,[],[f133200,f53]) ).
fof(f133200,plain,
( sK5 != sK11(sK13)
| spl14_158 ),
inference(avatar_component_clause,[],[f18356]) ).
fof(f140447,plain,
( spl14_633
| ~ spl14_136
| spl14_59 ),
inference(avatar_split_clause,[],[f140272,f2226,f15666,f140045]) ).
fof(f140272,plain,
( sK5 != sK13
| sK12 = sK11(sK7)
| spl14_59 ),
inference(superposition,[],[f3725,f53]) ).
fof(f140082,plain,
( spl14_640
| ~ spl14_21
| spl14_196 ),
inference(avatar_split_clause,[],[f139871,f26606,f340,f140077]) ).
fof(f139871,plain,
( ~ big_f(sK13,sK13)
| sK12 = sK6(sK5)
| spl14_196 ),
inference(superposition,[],[f131943,f53]) ).
fof(f131943,plain,
( ~ big_f(sK6(sK5),sK13)
| spl14_196 ),
inference(avatar_component_clause,[],[f26606]) ).
fof(f140080,plain,
( spl14_640
| ~ spl14_136
| spl14_85 ),
inference(avatar_split_clause,[],[f139873,f5523,f15666,f140077]) ).
fof(f139873,plain,
( sK5 != sK13
| sK12 = sK6(sK5)
| spl14_85 ),
inference(superposition,[],[f17550,f53]) ).
fof(f140071,plain,
( spl14_638
| spl14_170
| ~ spl14_10
| ~ spl14_345 ),
inference(avatar_split_clause,[],[f139876,f41185,f95,f19755,f140069]) ).
fof(f139876,plain,
( sK7 = sK13
| sK12 = sK9(sK5)
| ~ spl14_10
| ~ spl14_345 ),
inference(superposition,[],[f139725,f53]) ).
fof(f139725,plain,
( sK7 = sK9(sK5)
| ~ spl14_10
| ~ spl14_345 ),
inference(resolution,[],[f41186,f96]) ).
fof(f140062,plain,
( spl14_636
| ~ spl14_136
| spl14_78 ),
inference(avatar_split_clause,[],[f139879,f4599,f15666,f140058]) ).
fof(f139879,plain,
( sK5 != sK13
| sK12 = sK10(sK5,sK5)
| spl14_78 ),
inference(superposition,[],[f4600,f53]) ).
fof(f140061,plain,
( spl14_636
| spl14_17
| ~ spl14_181 ),
inference(avatar_split_clause,[],[f139880,f23293,f301,f140058]) ).
fof(f139880,plain,
( sP1(sK13)
| sK12 = sK10(sK5,sK5)
| ~ spl14_181 ),
inference(superposition,[],[f137309,f53]) ).
fof(f139717,plain,
( ~ spl14_10
| spl14_105
| ~ spl14_108 ),
inference(avatar_contradiction_clause,[],[f139716]) ).
fof(f139716,plain,
( $false
| ~ spl14_10
| spl14_105
| ~ spl14_108 ),
inference(subsumption_resolution,[],[f139714,f9104]) ).
fof(f139714,plain,
( sK5 = sK7
| ~ spl14_10
| ~ spl14_108 ),
inference(resolution,[],[f96,f12387]) ).
fof(f139630,plain,
( spl14_12
| ~ spl14_15
| spl14_24
| ~ spl14_108
| ~ spl14_458 ),
inference(avatar_contradiction_clause,[],[f139629]) ).
fof(f139629,plain,
( $false
| spl14_12
| ~ spl14_15
| spl14_24
| ~ spl14_108
| ~ spl14_458 ),
inference(subsumption_resolution,[],[f139628,f1060]) ).
fof(f1060,plain,
( sK5 != sK13
| ~ spl14_15 ),
inference(backward_demodulation,[],[f52,f199]) ).
fof(f199,plain,
( sK5 = sK12
| ~ spl14_15 ),
inference(avatar_component_clause,[],[f198]) ).
fof(f139628,plain,
( sK5 = sK13
| spl14_12
| ~ spl14_15
| spl14_24
| ~ spl14_108
| ~ spl14_458 ),
inference(subsumption_resolution,[],[f139624,f406]) ).
fof(f139624,plain,
( big_f(sK13,sK5)
| sK5 = sK13
| spl14_12
| ~ spl14_15
| ~ spl14_108
| ~ spl14_458 ),
inference(duplicate_literal_removal,[],[f139615]) ).
fof(f139615,plain,
( big_f(sK13,sK5)
| sK5 = sK13
| sK5 = sK13
| spl14_12
| ~ spl14_15
| ~ spl14_108
| ~ spl14_458 ),
inference(superposition,[],[f47197,f137580]) ).
fof(f137580,plain,
( ! [X0] :
( sK5 = sK10(X0,X0)
| sK5 = X0 )
| spl14_12
| ~ spl14_15
| ~ spl14_108
| ~ spl14_458 ),
inference(superposition,[],[f137579,f136134]) ).
fof(f136134,plain,
( ! [X49] :
( sK13 = X49
| sK5 = X49 )
| spl14_12
| ~ spl14_15
| ~ spl14_108 ),
inference(subsumption_resolution,[],[f134022,f12387]) ).
fof(f134022,plain,
( ! [X49] :
( ~ sP0(sK5)
| sK13 = X49
| sK5 = X49 )
| spl14_12
| ~ spl14_15 ),
inference(superposition,[],[f112,f123867]) ).
fof(f123867,plain,
( ! [X0,X1] :
( X0 = X1
| sK5 = X1
| sK5 = X0 )
| ~ spl14_15 ),
inference(superposition,[],[f1061,f1061]) ).
fof(f1061,plain,
( ! [X2] :
( sK13 = X2
| sK5 = X2 )
| ~ spl14_15 ),
inference(backward_demodulation,[],[f53,f199]) ).
fof(f137579,plain,
( sK5 = sK10(sK13,sK13)
| ~ spl14_458 ),
inference(equality_resolution,[],[f71878]) ).
fof(f71878,plain,
( ! [X5] :
( sK13 != X5
| sK5 = sK10(sK13,X5) )
| ~ spl14_458 ),
inference(avatar_component_clause,[],[f71877]) ).
fof(f71877,plain,
( spl14_458
<=> ! [X5] :
( sK13 != X5
| sK5 = sK10(sK13,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_458])]) ).
fof(f139627,plain,
( spl14_12
| ~ spl14_15
| spl14_24
| ~ spl14_458 ),
inference(avatar_contradiction_clause,[],[f139626]) ).
fof(f139626,plain,
( $false
| spl14_12
| ~ spl14_15
| spl14_24
| ~ spl14_458 ),
inference(subsumption_resolution,[],[f139625,f1060]) ).
fof(f139625,plain,
( sK5 = sK13
| spl14_12
| spl14_24
| ~ spl14_458 ),
inference(subsumption_resolution,[],[f139613,f406]) ).
fof(f139613,plain,
( big_f(sK13,sK5)
| sK5 = sK13
| spl14_12
| ~ spl14_458 ),
inference(superposition,[],[f47197,f137579]) ).
fof(f137358,plain,
( ~ spl14_15
| ~ spl14_17
| spl14_19
| ~ spl14_172 ),
inference(avatar_contradiction_clause,[],[f137357]) ).
fof(f137357,plain,
( $false
| ~ spl14_15
| ~ spl14_17
| spl14_19
| ~ spl14_172 ),
inference(subsumption_resolution,[],[f137356,f14528]) ).
fof(f137356,plain,
( ~ sP1(sK13)
| ~ spl14_15
| ~ spl14_17
| spl14_19
| ~ spl14_172 ),
inference(subsumption_resolution,[],[f137355,f333]) ).
fof(f137355,plain,
( big_f(sK5,sK13)
| ~ sP1(sK13)
| ~ spl14_15
| ~ spl14_17
| ~ spl14_172 ),
inference(superposition,[],[f56,f137351]) ).
fof(f137351,plain,
( sK5 = sK9(sK13)
| ~ spl14_15
| ~ spl14_17
| ~ spl14_172 ),
inference(subsumption_resolution,[],[f137350,f1060]) ).
fof(f137350,plain,
( sK5 = sK9(sK13)
| sK5 = sK13
| ~ spl14_15
| ~ spl14_17
| ~ spl14_172 ),
inference(subsumption_resolution,[],[f137342,f14528]) ).
fof(f137342,plain,
( ~ sP1(sK13)
| sK5 = sK9(sK13)
| sK5 = sK13
| ~ spl14_15
| ~ spl14_172 ),
inference(resolution,[],[f73260,f21181]) ).
fof(f21181,plain,
( ! [X2] :
( ~ big_f(X2,X2)
| sK5 = X2 )
| ~ spl14_172 ),
inference(avatar_component_clause,[],[f21180]) ).
fof(f21180,plain,
( spl14_172
<=> ! [X2] :
( ~ big_f(X2,X2)
| sK5 = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_172])]) ).
fof(f73260,plain,
( ! [X0] :
( big_f(sK13,X0)
| ~ sP1(X0)
| sK5 = sK9(X0) )
| ~ spl14_15 ),
inference(superposition,[],[f56,f1061]) ).
fof(f136139,plain,
( spl14_129
| spl14_17
| ~ spl14_3
| ~ spl14_15 ),
inference(avatar_split_clause,[],[f118536,f198,f66,f301,f14526]) ).
fof(f14526,plain,
( spl14_129
<=> ! [X1] :
( sK13 = X1
| sK5 = sK4(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_129])]) ).
fof(f118536,plain,
( ! [X0] :
( sP1(sK13)
| sK13 = X0
| sK4(X0) = sK5 )
| ~ spl14_3
| ~ spl14_15 ),
inference(superposition,[],[f67,f1061]) ).
fof(f136133,plain,
( ~ spl14_1
| ~ spl14_3
| ~ spl14_15
| spl14_17
| ~ spl14_23
| ~ spl14_52
| ~ spl14_105
| ~ spl14_129
| ~ spl14_149 ),
inference(avatar_contradiction_clause,[],[f136132]) ).
fof(f136132,plain,
( $false
| ~ spl14_1
| ~ spl14_3
| ~ spl14_15
| spl14_17
| ~ spl14_23
| ~ spl14_52
| ~ spl14_105
| ~ spl14_129
| ~ spl14_149 ),
inference(subsumption_resolution,[],[f136130,f136128]) ).
fof(f136128,plain,
( ! [X0,X1] : X0 = X1
| ~ spl14_1
| ~ spl14_3
| ~ spl14_15
| spl14_17
| ~ spl14_23
| ~ spl14_52
| ~ spl14_105
| ~ spl14_129
| ~ spl14_149 ),
inference(superposition,[],[f136044,f136044]) ).
fof(f136044,plain,
( ! [X0] : sK13 = X0
| ~ spl14_1
| ~ spl14_3
| ~ spl14_15
| spl14_17
| ~ spl14_23
| ~ spl14_52
| ~ spl14_105
| ~ spl14_129
| ~ spl14_149 ),
inference(subsumption_resolution,[],[f135950,f133624]) ).
fof(f133624,plain,
( ! [X1] :
( sK13 = X1
| sK5 = X1 )
| ~ spl14_3
| ~ spl14_15
| spl14_17
| ~ spl14_52
| ~ spl14_129 ),
inference(backward_demodulation,[],[f14527,f133621]) ).
fof(f133621,plain,
( ! [X0] : sK4(X0) = X0
| ~ spl14_3
| ~ spl14_15
| spl14_17
| ~ spl14_52 ),
inference(subsumption_resolution,[],[f118706,f1777]) ).
fof(f118706,plain,
( ! [X0] :
( sK5 != X0
| sK4(X0) = X0 )
| ~ spl14_3
| ~ spl14_15
| spl14_17 ),
inference(equality_factoring,[],[f118688]) ).
fof(f118688,plain,
( ! [X0] :
( sK4(X0) = X0
| sK4(X0) = sK5 )
| ~ spl14_3
| ~ spl14_15
| spl14_17 ),
inference(resolution,[],[f67,f118668]) ).
fof(f118668,plain,
( ! [X0] :
( ~ sP1(X0)
| sK5 = X0 )
| ~ spl14_15
| spl14_17 ),
inference(superposition,[],[f302,f1061]) ).
fof(f302,plain,
( ~ sP1(sK13)
| spl14_17 ),
inference(avatar_component_clause,[],[f301]) ).
fof(f14527,plain,
( ! [X1] :
( sK5 = sK4(X1)
| sK13 = X1 )
| ~ spl14_129 ),
inference(avatar_component_clause,[],[f14526]) ).
fof(f135950,plain,
( ! [X0] :
( sK5 != X0
| sK13 = X0 )
| ~ spl14_1
| ~ spl14_3
| ~ spl14_15
| spl14_17
| ~ spl14_23
| ~ spl14_52
| ~ spl14_105
| ~ spl14_149 ),
inference(subsumption_resolution,[],[f135949,f2289]) ).
fof(f135949,plain,
( ! [X0] :
( ~ big_f(sK5,sK5)
| sK5 != X0
| sK13 = X0 )
| ~ spl14_1
| ~ spl14_3
| ~ spl14_15
| spl14_17
| ~ spl14_52
| ~ spl14_105
| ~ spl14_149 ),
inference(superposition,[],[f134677,f133647]) ).
fof(f133647,plain,
( ! [X0] :
( sK5 = sK8(sK5,X0)
| sK13 = X0 )
| ~ spl14_105
| ~ spl14_149 ),
inference(forward_demodulation,[],[f17770,f9106]) ).
fof(f17770,plain,
( ! [X0] :
( sK5 = sK8(sK7,X0)
| sK13 = X0 )
| ~ spl14_149 ),
inference(avatar_component_clause,[],[f17769]) ).
fof(f17769,plain,
( spl14_149
<=> ! [X0] :
( sK13 = X0
| sK5 = sK8(sK7,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_149])]) ).
fof(f134677,plain,
( ! [X0,X1] :
( ~ big_f(sK8(X0,X1),X0)
| sK8(X0,X1) != X1 )
| ~ spl14_1
| ~ spl14_3
| ~ spl14_15
| spl14_17
| ~ spl14_52 ),
inference(subsumption_resolution,[],[f45,f133637]) ).
fof(f133637,plain,
( ! [X0] : ~ sP1(X0)
| ~ spl14_1
| ~ spl14_3
| ~ spl14_15
| spl14_17
| ~ spl14_52 ),
inference(forward_demodulation,[],[f133636,f133621]) ).
fof(f133636,plain,
( ! [X0] : ~ sP1(sK4(X0))
| ~ spl14_1
| ~ spl14_3
| ~ spl14_15
| spl14_17
| ~ spl14_52 ),
inference(trivial_inequality_removal,[],[f133622]) ).
fof(f133622,plain,
( ! [X0] :
( X0 != X0
| ~ sP1(sK4(X0)) )
| ~ spl14_1
| ~ spl14_3
| ~ spl14_15
| spl14_17
| ~ spl14_52 ),
inference(backward_demodulation,[],[f60,f133621]) ).
fof(f136130,plain,
( ! [X1] : sK5 != X1
| ~ spl14_1
| ~ spl14_3
| ~ spl14_15
| spl14_17
| ~ spl14_23
| ~ spl14_52
| ~ spl14_105
| ~ spl14_129
| ~ spl14_149 ),
inference(superposition,[],[f1060,f136044]) ).
fof(f133605,plain,
( spl14_24
| ~ spl14_105
| ~ spl14_150 ),
inference(avatar_contradiction_clause,[],[f133604]) ).
fof(f133604,plain,
( $false
| spl14_24
| ~ spl14_105
| ~ spl14_150 ),
inference(subsumption_resolution,[],[f133603,f406]) ).
fof(f133603,plain,
( big_f(sK13,sK5)
| ~ spl14_105
| ~ spl14_150 ),
inference(forward_demodulation,[],[f17773,f9106]) ).
fof(f131942,plain,
( ~ spl14_15
| ~ spl14_459
| spl14_502 ),
inference(avatar_contradiction_clause,[],[f131941]) ).
fof(f131941,plain,
( $false
| ~ spl14_15
| ~ spl14_459
| spl14_502 ),
inference(subsumption_resolution,[],[f131940,f1060]) ).
fof(f131940,plain,
( sK5 = sK13
| ~ spl14_459
| spl14_502 ),
inference(trivial_inequality_removal,[],[f131938]) ).
fof(f131938,plain,
( sK5 != sK5
| sK5 = sK13
| ~ spl14_459
| spl14_502 ),
inference(superposition,[],[f86197,f71882]) ).
fof(f71882,plain,
( ! [X9] :
( sK5 = sK10(sK13,X9)
| sK13 = X9 )
| ~ spl14_459 ),
inference(avatar_component_clause,[],[f71881]) ).
fof(f71881,plain,
( spl14_459
<=> ! [X9] :
( sK13 = X9
| sK5 = sK10(sK13,X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_459])]) ).
fof(f86197,plain,
( sK5 != sK10(sK13,sK5)
| spl14_502 ),
inference(avatar_component_clause,[],[f86196]) ).
fof(f86196,plain,
( spl14_502
<=> sK5 = sK10(sK13,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_502])]) ).
fof(f130904,plain,
( ~ spl14_21
| spl14_458
| spl14_12
| ~ spl14_15 ),
inference(avatar_split_clause,[],[f120755,f198,f111,f71877,f340]) ).
fof(f120755,plain,
( ! [X8] :
( sK13 != X8
| ~ big_f(sK13,sK13)
| sK5 = sK10(sK13,X8) )
| spl14_12
| ~ spl14_15 ),
inference(superposition,[],[f70773,f1061]) ).
fof(f130896,plain,
( spl14_459
| spl14_21
| spl14_12
| ~ spl14_15 ),
inference(avatar_split_clause,[],[f122558,f198,f111,f340,f71881]) ).
fof(f122558,plain,
( ! [X8] :
( big_f(sK13,sK13)
| sK13 = X8
| sK5 = sK10(sK13,X8) )
| spl14_12
| ~ spl14_15 ),
inference(superposition,[],[f47197,f1061]) ).
fof(f130848,plain,
( spl14_52
| spl14_4
| ~ spl14_3
| ~ spl14_15 ),
inference(avatar_split_clause,[],[f129548,f198,f66,f71,f1776]) ).
fof(f129548,plain,
( ! [X6,X5] :
( sP1(sK5)
| sK5 = X5
| sK4(X5) = X6
| sK5 = X6 )
| ~ spl14_3
| ~ spl14_15 ),
inference(superposition,[],[f67,f123867]) ).
fof(f130810,plain,
( spl14_29
| spl14_29
| ~ spl14_6
| ~ spl14_8
| spl14_12
| spl14_14
| ~ spl14_15
| ~ spl14_60
| ~ spl14_123 ),
inference(avatar_split_clause,[],[f130809,f12433,f2287,f198,f127,f111,f86,f79,f1024,f1024]) ).
fof(f2287,plain,
( spl14_60
<=> ! [X4,X5] :
( sK5 = X4
| sK10(sK5,X4) = X5
| sK5 = X5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_60])]) ).
fof(f12433,plain,
( spl14_123
<=> ! [X54] :
( big_f(sK5,X54)
| sK5 = X54 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_123])]) ).
fof(f130809,plain,
( ! [X14,X15] :
( sK5 = X14
| sK5 = X15 )
| ~ spl14_6
| ~ spl14_8
| spl14_12
| spl14_14
| ~ spl14_15
| ~ spl14_60
| ~ spl14_123 ),
inference(subsumption_resolution,[],[f130808,f123867]) ).
fof(f130808,plain,
( ! [X14,X15] :
( X14 != X15
| sK5 = X14
| sK5 = X15 )
| ~ spl14_6
| ~ spl14_8
| spl14_12
| spl14_14
| ~ spl14_15
| ~ spl14_60
| ~ spl14_123 ),
inference(subsumption_resolution,[],[f130748,f129525]) ).
fof(f129525,plain,
( ! [X11,X12,X13] :
( big_f(X11,X12)
| X11 = X12
| X11 = X13
| sK5 = X13 )
| ~ spl14_15
| ~ spl14_123 ),
inference(superposition,[],[f12434,f123867]) ).
fof(f12434,plain,
( ! [X54] :
( big_f(sK5,X54)
| sK5 = X54 )
| ~ spl14_123 ),
inference(avatar_component_clause,[],[f12433]) ).
fof(f130748,plain,
( ! [X14,X15] :
( X14 != X15
| ~ big_f(sK5,X15)
| sK5 = X14
| sK5 = X15 )
| ~ spl14_6
| ~ spl14_8
| spl14_12
| spl14_14
| ~ spl14_15
| ~ spl14_60 ),
inference(superposition,[],[f125881,f2288]) ).
fof(f2288,plain,
( ! [X4,X5] :
( sK10(sK5,X4) = X5
| sK5 = X4
| sK5 = X5 )
| ~ spl14_60 ),
inference(avatar_component_clause,[],[f2287]) ).
fof(f125881,plain,
( ! [X0,X1] :
( sK10(X0,X1) != X1
| ~ big_f(X0,sK10(X0,X1)) )
| ~ spl14_6
| ~ spl14_8
| spl14_12
| spl14_14
| ~ spl14_15 ),
inference(subsumption_resolution,[],[f49,f125415]) ).
fof(f125415,plain,
( ! [X0] : ~ sP0(X0)
| ~ spl14_6
| ~ spl14_8
| spl14_12
| spl14_14
| ~ spl14_15 ),
inference(forward_demodulation,[],[f125414,f125406]) ).
fof(f125406,plain,
( ! [X0] : sK6(X0) = X0
| ~ spl14_8
| spl14_12
| spl14_14
| ~ spl14_15 ),
inference(subsumption_resolution,[],[f125403,f125405]) ).
fof(f125405,plain,
( ! [X1] :
( sK5 = X1
| sK6(X1) = X1 )
| ~ spl14_8
| spl14_12
| spl14_14
| ~ spl14_15 ),
inference(subsumption_resolution,[],[f125400,f124524]) ).
fof(f124524,plain,
( ~ sP0(sK5)
| spl14_14
| ~ spl14_15 ),
inference(forward_demodulation,[],[f128,f199]) ).
fof(f125400,plain,
( ! [X1] :
( sP0(sK5)
| sK5 = X1
| sK6(X1) = X1 )
| ~ spl14_8
| spl14_12
| ~ spl14_15 ),
inference(superposition,[],[f87,f125051]) ).
fof(f125051,plain,
( ! [X3] :
( sK6(X3) = X3
| sK5 = sK6(X3) )
| ~ spl14_8
| spl14_12
| ~ spl14_15 ),
inference(resolution,[],[f87,f73396]) ).
fof(f73396,plain,
( ! [X0] :
( ~ sP0(X0)
| sK5 = X0 )
| spl14_12
| ~ spl14_15 ),
inference(superposition,[],[f112,f1061]) ).
fof(f125403,plain,
( ! [X0] :
( sK5 != X0
| sK6(X0) = X0 )
| ~ spl14_8
| spl14_12
| ~ spl14_15 ),
inference(equality_factoring,[],[f125051]) ).
fof(f125414,plain,
( ! [X0] : ~ sP0(sK6(X0))
| ~ spl14_6
| ~ spl14_8
| spl14_12
| spl14_14
| ~ spl14_15 ),
inference(trivial_inequality_removal,[],[f125407]) ).
fof(f125407,plain,
( ! [X0] :
( X0 != X0
| ~ sP0(sK6(X0)) )
| ~ spl14_6
| ~ spl14_8
| spl14_12
| spl14_14
| ~ spl14_15 ),
inference(backward_demodulation,[],[f80,f125406]) ).
fof(f124440,plain,
( ~ spl14_1
| ~ spl14_3
| spl14_12
| ~ spl14_15
| spl14_17
| spl14_23
| ~ spl14_52
| ~ spl14_485 ),
inference(avatar_contradiction_clause,[],[f124439]) ).
fof(f124439,plain,
( $false
| ~ spl14_1
| ~ spl14_3
| spl14_12
| ~ spl14_15
| spl14_17
| spl14_23
| ~ spl14_52
| ~ spl14_485 ),
inference(subsumption_resolution,[],[f124438,f1060]) ).
fof(f124438,plain,
( sK5 = sK13
| ~ spl14_1
| ~ spl14_3
| spl14_12
| ~ spl14_15
| spl14_17
| spl14_23
| ~ spl14_52
| ~ spl14_485 ),
inference(subsumption_resolution,[],[f124434,f385]) ).
fof(f124434,plain,
( big_f(sK5,sK5)
| sK5 = sK13
| ~ spl14_1
| ~ spl14_3
| spl14_12
| ~ spl14_15
| spl14_17
| ~ spl14_52
| ~ spl14_485 ),
inference(superposition,[],[f118801,f124421]) ).
fof(f124421,plain,
( sK5 = sK8(sK5,sK13)
| ~ spl14_1
| ~ spl14_3
| spl14_12
| ~ spl14_15
| spl14_17
| ~ spl14_52
| ~ spl14_485 ),
inference(subsumption_resolution,[],[f123941,f1060]) ).
fof(f123941,plain,
( sK5 = sK8(sK5,sK13)
| sK5 = sK13
| ~ spl14_1
| ~ spl14_3
| spl14_12
| ~ spl14_15
| spl14_17
| ~ spl14_52
| ~ spl14_485 ),
inference(resolution,[],[f123560,f123878]) ).
fof(f123878,plain,
( ! [X10] :
( big_f(X10,sK5)
| sK5 = X10 )
| spl14_12
| ~ spl14_15
| ~ spl14_485 ),
inference(superposition,[],[f123658,f1061]) ).
fof(f123658,plain,
( big_f(sK13,sK5)
| spl14_12
| ~ spl14_15
| ~ spl14_485 ),
inference(subsumption_resolution,[],[f122560,f1060]) ).
fof(f122560,plain,
( big_f(sK13,sK5)
| sK5 = sK13
| spl14_12
| ~ spl14_15
| ~ spl14_485 ),
inference(duplicate_literal_removal,[],[f122551]) ).
fof(f122551,plain,
( big_f(sK13,sK5)
| sK5 = sK13
| sK5 = sK13
| spl14_12
| ~ spl14_15
| ~ spl14_485 ),
inference(superposition,[],[f47197,f118496]) ).
fof(f118496,plain,
( ! [X5] :
( sK5 = sK10(X5,X5)
| sK5 = X5 )
| ~ spl14_15
| ~ spl14_485 ),
inference(superposition,[],[f74537,f1061]) ).
fof(f74537,plain,
( sK5 = sK10(sK13,sK13)
| ~ spl14_485 ),
inference(avatar_component_clause,[],[f74536]) ).
fof(f74536,plain,
( spl14_485
<=> sK5 = sK10(sK13,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_485])]) ).
fof(f123560,plain,
( ! [X0] :
( ~ big_f(sK13,X0)
| sK5 = sK8(X0,sK13) )
| ~ spl14_1
| ~ spl14_3
| ~ spl14_15
| spl14_17
| ~ spl14_52 ),
inference(equality_resolution,[],[f120174]) ).
fof(f120174,plain,
( ! [X16,X15] :
( sK13 != X16
| ~ big_f(sK13,X15)
| sK5 = sK8(X15,X16) )
| ~ spl14_1
| ~ spl14_3
| ~ spl14_15
| spl14_17
| ~ spl14_52 ),
inference(superposition,[],[f119641,f1061]) ).
fof(f119641,plain,
( ! [X0,X1] :
( sK8(X0,X1) != X1
| ~ big_f(sK8(X0,X1),X0) )
| ~ spl14_1
| ~ spl14_3
| ~ spl14_15
| spl14_17
| ~ spl14_52 ),
inference(subsumption_resolution,[],[f45,f118729]) ).
fof(f118729,plain,
( ! [X0] : ~ sP1(X0)
| ~ spl14_1
| ~ spl14_3
| ~ spl14_15
| spl14_17
| ~ spl14_52 ),
inference(forward_demodulation,[],[f118728,f118709]) ).
fof(f118709,plain,
( ! [X0] : sK4(X0) = X0
| ~ spl14_3
| ~ spl14_15
| spl14_17
| ~ spl14_52 ),
inference(subsumption_resolution,[],[f118706,f1777]) ).
fof(f118728,plain,
( ! [X0] : ~ sP1(sK4(X0))
| ~ spl14_1
| ~ spl14_3
| ~ spl14_15
| spl14_17
| ~ spl14_52 ),
inference(trivial_inequality_removal,[],[f118710]) ).
fof(f118710,plain,
( ! [X0] :
( X0 != X0
| ~ sP1(sK4(X0)) )
| ~ spl14_1
| ~ spl14_3
| ~ spl14_15
| spl14_17
| ~ spl14_52 ),
inference(backward_demodulation,[],[f60,f118709]) ).
fof(f118801,plain,
( ! [X0,X1] :
( big_f(sK8(X0,X1),X0)
| sK8(X0,X1) = X1 )
| ~ spl14_1
| ~ spl14_3
| ~ spl14_15
| spl14_17
| ~ spl14_52 ),
inference(resolution,[],[f44,f118729]) ).
fof(f119548,plain,
( ~ spl14_9
| ~ spl14_105
| ~ spl14_159
| spl14_345 ),
inference(avatar_contradiction_clause,[],[f119547]) ).
fof(f119547,plain,
( $false
| ~ spl14_9
| ~ spl14_105
| ~ spl14_159
| spl14_345 ),
inference(subsumption_resolution,[],[f119542,f111939]) ).
fof(f111939,plain,
( sP0(sK5)
| ~ spl14_9
| ~ spl14_105 ),
inference(forward_demodulation,[],[f92,f9106]) ).
fof(f119542,plain,
( ~ sP0(sK5)
| ~ spl14_159
| spl14_345 ),
inference(backward_demodulation,[],[f41191,f18360]) ).
fof(f118332,plain,
( ~ spl14_1
| ~ spl14_3
| spl14_4
| ~ spl14_15
| ~ spl14_17 ),
inference(avatar_contradiction_clause,[],[f118331]) ).
fof(f118331,plain,
( $false
| ~ spl14_1
| ~ spl14_3
| spl14_4
| ~ spl14_15
| ~ spl14_17 ),
inference(subsumption_resolution,[],[f118330,f1060]) ).
fof(f118330,plain,
( sK5 = sK13
| ~ spl14_1
| ~ spl14_3
| spl14_4
| ~ spl14_15
| ~ spl14_17 ),
inference(subsumption_resolution,[],[f118328,f1756]) ).
fof(f118328,plain,
( sP1(sK5)
| sK5 = sK13
| ~ spl14_1
| ~ spl14_3
| ~ spl14_15
| ~ spl14_17 ),
inference(superposition,[],[f67,f118325]) ).
fof(f118325,plain,
( sK5 = sK4(sK13)
| ~ spl14_1
| ~ spl14_15
| ~ spl14_17 ),
inference(equality_resolution,[],[f118320]) ).
fof(f118320,plain,
( ! [X1] :
( sK13 != X1
| sK5 = sK4(X1) )
| ~ spl14_1
| ~ spl14_15
| ~ spl14_17 ),
inference(subsumption_resolution,[],[f118305,f14528]) ).
fof(f118305,plain,
( ! [X1] :
( sK13 != X1
| ~ sP1(sK13)
| sK5 = sK4(X1) )
| ~ spl14_1
| ~ spl14_15 ),
inference(superposition,[],[f60,f1061]) ).
fof(f111830,plain,
( ~ spl14_4
| spl14_49
| ~ spl14_15
| ~ spl14_24 ),
inference(avatar_split_clause,[],[f105902,f405,f198,f1761,f71]) ).
fof(f1761,plain,
( spl14_49
<=> ! [X0] :
( sK9(sK5) = X0
| sK5 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_49])]) ).
fof(f105902,plain,
( ! [X3] :
( sK9(sK5) = X3
| ~ sP1(sK5)
| sK5 = X3 )
| ~ spl14_15
| ~ spl14_24 ),
inference(resolution,[],[f42,f73255]) ).
fof(f73255,plain,
( ! [X7] :
( big_f(X7,sK5)
| sK5 = X7 )
| ~ spl14_15
| ~ spl14_24 ),
inference(superposition,[],[f43511,f1061]) ).
fof(f111657,plain,
( ~ spl14_13
| ~ spl14_15 ),
inference(avatar_contradiction_clause,[],[f111656]) ).
fof(f111656,plain,
( $false
| ~ spl14_13
| ~ spl14_15 ),
inference(subsumption_resolution,[],[f1060,f125]) ).
fof(f111650,plain,
( ~ spl14_15
| spl14_17
| ~ spl14_20
| ~ spl14_172 ),
inference(avatar_contradiction_clause,[],[f111649]) ).
fof(f111649,plain,
( $false
| ~ spl14_15
| spl14_17
| ~ spl14_20
| ~ spl14_172 ),
inference(subsumption_resolution,[],[f1060,f110945]) ).
fof(f110945,plain,
( ! [X2] : sK5 = X2
| ~ spl14_15
| spl14_17
| ~ spl14_20
| ~ spl14_172 ),
inference(subsumption_resolution,[],[f21181,f89293]) ).
fof(f89293,plain,
( ! [X102,X103] :
( big_f(X103,X102)
| sK5 = X103
| sK5 = X102 )
| ~ spl14_15
| spl14_17
| ~ spl14_20 ),
inference(subsumption_resolution,[],[f88931,f1060]) ).
fof(f88931,plain,
( ! [X102,X103] :
( big_f(X103,X102)
| sK5 = X103
| sK5 = sK13
| sK5 = X102 )
| spl14_17
| ~ spl14_20 ),
inference(superposition,[],[f86564,f86513]) ).
fof(f86513,plain,
( ! [X0,X1] :
( X0 = X1
| sK5 = X1
| sK5 = X0 )
| ~ spl14_20 ),
inference(superposition,[],[f86495,f86495]) ).
fof(f86495,plain,
( ! [X0] :
( sK8(sK13,sK5) = X0
| sK5 = X0 )
| ~ spl14_20 ),
inference(equality_resolution,[],[f336]) ).
fof(f336,plain,
( ! [X4,X5] :
( sK5 != X4
| sK8(sK13,X4) = X5
| sK5 = X5 )
| ~ spl14_20 ),
inference(avatar_component_clause,[],[f335]) ).
fof(f335,plain,
( spl14_20
<=> ! [X4,X5] :
( sK5 != X4
| sK8(sK13,X4) = X5
| sK5 = X5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_20])]) ).
fof(f86564,plain,
( ! [X1] :
( big_f(X1,sK13)
| sK5 = X1 )
| spl14_17
| ~ spl14_20 ),
inference(duplicate_literal_removal,[],[f86528]) ).
fof(f86528,plain,
( ! [X1] :
( big_f(X1,sK13)
| sK5 = X1
| sK5 = X1 )
| spl14_17
| ~ spl14_20 ),
inference(superposition,[],[f79367,f86495]) ).
fof(f79367,plain,
( ! [X0] :
( big_f(sK8(sK13,X0),sK13)
| sK8(sK13,X0) = X0 )
| spl14_17 ),
inference(resolution,[],[f44,f302]) ).
fof(f89348,plain,
( spl14_136
| spl14_123
| ~ spl14_19
| ~ spl14_20 ),
inference(avatar_split_clause,[],[f88855,f335,f332,f12433,f15666]) ).
fof(f88855,plain,
( ! [X88] :
( big_f(sK5,X88)
| sK5 = X88
| sK5 = sK13 )
| ~ spl14_19
| ~ spl14_20 ),
inference(superposition,[],[f26578,f86513]) ).
fof(f88347,plain,
( ~ spl14_15
| spl14_17
| spl14_19
| ~ spl14_137 ),
inference(avatar_contradiction_clause,[],[f88346]) ).
fof(f88346,plain,
( $false
| ~ spl14_15
| spl14_17
| spl14_19
| ~ spl14_137 ),
inference(subsumption_resolution,[],[f88345,f1060]) ).
fof(f88345,plain,
( sK5 = sK13
| spl14_17
| spl14_19
| ~ spl14_137 ),
inference(subsumption_resolution,[],[f80035,f333]) ).
fof(f80035,plain,
( big_f(sK5,sK13)
| sK5 = sK13
| spl14_17
| ~ spl14_137 ),
inference(superposition,[],[f79367,f15673]) ).
fof(f15673,plain,
( sK5 = sK8(sK13,sK13)
| ~ spl14_137 ),
inference(avatar_component_clause,[],[f15672]) ).
fof(f15672,plain,
( spl14_137
<=> sK5 = sK8(sK13,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_137])]) ).
fof(f86750,plain,
( spl14_485
| spl14_506
| ~ spl14_20
| ~ spl14_458 ),
inference(avatar_split_clause,[],[f86544,f71877,f335,f86718,f74536]) ).
fof(f86544,plain,
( sK5 = sK8(sK13,sK5)
| sK5 = sK10(sK13,sK13)
| ~ spl14_20
| ~ spl14_458 ),
inference(superposition,[],[f73926,f86495]) ).
fof(f73926,plain,
( sK5 = sK10(sK13,sK13)
| ~ spl14_458 ),
inference(equality_resolution,[],[f71878]) ).
fof(f86720,plain,
( spl14_29
| ~ spl14_506
| ~ spl14_20 ),
inference(avatar_split_clause,[],[f86563,f335,f86718,f1024]) ).
fof(f86563,plain,
( ! [X0] :
( sK5 != sK8(sK13,sK5)
| sK5 = X0 )
| ~ spl14_20 ),
inference(equality_factoring,[],[f86495]) ).
fof(f86211,plain,
( spl14_29
| ~ spl14_502
| spl14_12
| ~ spl14_15
| ~ spl14_24 ),
inference(avatar_split_clause,[],[f86164,f405,f198,f111,f86196,f1024]) ).
fof(f86164,plain,
( ! [X0] :
( sK5 != sK10(sK13,sK5)
| sK5 = X0 )
| spl14_12
| ~ spl14_15
| ~ spl14_24 ),
inference(equality_factoring,[],[f86102]) ).
fof(f86102,plain,
( ! [X0] :
( sK10(sK13,sK5) = X0
| sK5 = X0 )
| spl14_12
| ~ spl14_15
| ~ spl14_24 ),
inference(equality_resolution,[],[f71029]) ).
fof(f71029,plain,
( ! [X12,X13] :
( sK5 != X12
| sK5 = X13
| sK10(sK13,X12) = X13 )
| spl14_12
| ~ spl14_15
| ~ spl14_24 ),
inference(subsumption_resolution,[],[f70977,f43511]) ).
fof(f70977,plain,
( ! [X12,X13] :
( sK5 != X12
| ~ big_f(sK13,sK5)
| sK5 = X13
| sK10(sK13,X12) = X13 )
| spl14_12
| ~ spl14_15 ),
inference(superposition,[],[f70773,f1076]) ).
fof(f1076,plain,
( ! [X0,X1] :
( sK5 = X1
| sK5 = X0
| X0 = X1 )
| ~ spl14_15 ),
inference(forward_demodulation,[],[f1062,f199]) ).
fof(f1062,plain,
( ! [X0,X1] :
( sK5 = X0
| X0 = X1
| sK12 = X1 )
| ~ spl14_15 ),
inference(backward_demodulation,[],[f101,f199]) ).
fof(f73754,plain,
( ~ spl14_17
| spl14_358
| ~ spl14_19 ),
inference(avatar_split_clause,[],[f73631,f332,f43502,f301]) ).
fof(f73631,plain,
( sK5 = sK9(sK13)
| ~ sP1(sK13)
| ~ spl14_19 ),
inference(resolution,[],[f42,f26578]) ).
fof(f73753,plain,
( ~ spl14_17
| spl14_198
| ~ spl14_21 ),
inference(avatar_split_clause,[],[f73635,f340,f26669,f301]) ).
fof(f73635,plain,
( sK13 = sK9(sK13)
| ~ sP1(sK13)
| ~ spl14_21 ),
inference(resolution,[],[f42,f26612]) ).
fof(f73391,plain,
( spl14_46
| spl14_136
| ~ spl14_15
| spl14_17
| ~ spl14_40 ),
inference(avatar_split_clause,[],[f73256,f1642,f301,f198,f15666,f1667]) ).
fof(f1642,plain,
( spl14_40
<=> sP1(sK4(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_40])]) ).
fof(f73256,plain,
( sK5 = sK13
| sK5 = sK4(sK5)
| ~ spl14_15
| spl14_17
| ~ spl14_40 ),
inference(superposition,[],[f72691,f1061]) ).
fof(f72691,plain,
( sK5 = sK4(sK5)
| ~ spl14_15
| spl14_17
| ~ spl14_40 ),
inference(subsumption_resolution,[],[f44463,f302]) ).
fof(f44463,plain,
( sP1(sK13)
| sK5 = sK4(sK5)
| ~ spl14_15
| ~ spl14_40 ),
inference(superposition,[],[f1643,f1061]) ).
fof(f1643,plain,
( sP1(sK4(sK5))
| ~ spl14_40 ),
inference(avatar_component_clause,[],[f1642]) ).
fof(f73384,plain,
( spl14_29
| ~ spl14_136
| ~ spl14_15 ),
inference(avatar_split_clause,[],[f73265,f198,f15666,f1024]) ).
fof(f73265,plain,
( ! [X0] :
( sK5 != sK13
| sK5 = X0 )
| ~ spl14_15 ),
inference(equality_factoring,[],[f1061]) ).
fof(f72452,plain,
( ~ spl14_108
| spl14_468
| ~ spl14_19 ),
inference(avatar_split_clause,[],[f48102,f332,f72424,f9965]) ).
fof(f48102,plain,
( sK13 = sK11(sK5)
| ~ sP0(sK5)
| ~ spl14_19 ),
inference(resolution,[],[f46,f26578]) ).
fof(f72309,plain,
( spl14_4
| ~ spl14_36
| ~ spl14_105 ),
inference(avatar_contradiction_clause,[],[f72308]) ).
fof(f72308,plain,
( $false
| spl14_4
| ~ spl14_36
| ~ spl14_105 ),
inference(subsumption_resolution,[],[f44382,f1756]) ).
fof(f44382,plain,
( sP1(sK5)
| ~ spl14_36
| ~ spl14_105 ),
inference(backward_demodulation,[],[f1214,f9106]) ).
fof(f71652,plain,
( ~ spl14_1
| spl14_12
| ~ spl14_15
| ~ spl14_17
| spl14_21
| ~ spl14_24 ),
inference(avatar_contradiction_clause,[],[f71651]) ).
fof(f71651,plain,
( $false
| ~ spl14_1
| spl14_12
| ~ spl14_15
| ~ spl14_17
| spl14_21
| ~ spl14_24 ),
inference(subsumption_resolution,[],[f71650,f14528]) ).
fof(f71650,plain,
( ~ sP1(sK13)
| ~ spl14_1
| spl14_12
| ~ spl14_15
| spl14_21
| ~ spl14_24 ),
inference(forward_demodulation,[],[f71649,f71019]) ).
fof(f71019,plain,
( ! [X2] : sK13 = X2
| spl14_12
| ~ spl14_15
| spl14_21
| ~ spl14_24 ),
inference(subsumption_resolution,[],[f71018,f1061]) ).
fof(f71018,plain,
( ! [X2] :
( sK5 != X2
| sK13 = X2 )
| spl14_12
| ~ spl14_15
| spl14_21
| ~ spl14_24 ),
inference(subsumption_resolution,[],[f70970,f43511]) ).
fof(f70970,plain,
( ! [X2] :
( sK5 != X2
| ~ big_f(sK13,sK5)
| sK13 = X2 )
| spl14_12
| ~ spl14_15
| spl14_21 ),
inference(superposition,[],[f70773,f47309]) ).
fof(f47309,plain,
( ! [X0] :
( sK5 = sK10(sK13,X0)
| sK13 = X0 )
| spl14_12
| ~ spl14_15
| spl14_21 ),
inference(subsumption_resolution,[],[f47297,f341]) ).
fof(f47297,plain,
( ! [X0] :
( big_f(sK13,sK13)
| sK13 = X0
| sK5 = sK10(sK13,X0) )
| spl14_12
| ~ spl14_15 ),
inference(superposition,[],[f47197,f1061]) ).
fof(f71649,plain,
( ! [X0] : ~ sP1(sK4(X0))
| ~ spl14_1
| spl14_12
| ~ spl14_15
| spl14_21
| ~ spl14_24 ),
inference(subsumption_resolution,[],[f71648,f71019]) ).
fof(f71648,plain,
( ! [X0] :
( sK13 != X0
| ~ sP1(sK4(X0)) )
| ~ spl14_1
| spl14_12
| ~ spl14_15
| spl14_21
| ~ spl14_24 ),
inference(forward_demodulation,[],[f60,f71019]) ).
fof(f44438,plain,
( ~ spl14_9
| ~ spl14_105
| spl14_108 ),
inference(avatar_contradiction_clause,[],[f44437]) ).
fof(f44437,plain,
( $false
| ~ spl14_9
| ~ spl14_105
| spl14_108 ),
inference(subsumption_resolution,[],[f9966,f44380]) ).
fof(f44380,plain,
( sP0(sK5)
| ~ spl14_9
| ~ spl14_105 ),
inference(backward_demodulation,[],[f92,f9106]) ).
fof(f43525,plain,
( ~ spl14_12
| spl14_24
| ~ spl14_158 ),
inference(avatar_split_clause,[],[f40987,f18356,f405,f111]) ).
fof(f40987,plain,
( big_f(sK13,sK5)
| ~ sP0(sK13)
| ~ spl14_158 ),
inference(superposition,[],[f57,f18357]) ).
fof(f18357,plain,
( sK5 = sK11(sK13)
| ~ spl14_158 ),
inference(avatar_component_clause,[],[f18356]) ).
fof(f41031,plain,
( ~ spl14_15
| spl14_19
| spl14_59
| ~ spl14_105
| ~ spl14_108 ),
inference(avatar_contradiction_clause,[],[f41030]) ).
fof(f41030,plain,
( $false
| ~ spl14_15
| spl14_19
| spl14_59
| ~ spl14_105
| ~ spl14_108 ),
inference(subsumption_resolution,[],[f41029,f12387]) ).
fof(f41029,plain,
( ~ sP0(sK5)
| ~ spl14_15
| spl14_19
| spl14_59
| ~ spl14_105 ),
inference(subsumption_resolution,[],[f41027,f40042]) ).
fof(f40042,plain,
( sK5 != sK11(sK5)
| spl14_59
| ~ spl14_105 ),
inference(forward_demodulation,[],[f3725,f9106]) ).
fof(f41027,plain,
( sK5 = sK11(sK5)
| ~ sP0(sK5)
| ~ spl14_15
| spl14_19 ),
inference(resolution,[],[f40990,f57]) ).
fof(f40990,plain,
( ! [X1] :
( ~ big_f(sK5,X1)
| sK5 = X1 )
| ~ spl14_15
| spl14_19 ),
inference(superposition,[],[f333,f1061]) ).
fof(f39906,plain,
( spl14_23
| ~ spl14_105
| ~ spl14_203 ),
inference(avatar_contradiction_clause,[],[f39905]) ).
fof(f39905,plain,
( $false
| spl14_23
| ~ spl14_105
| ~ spl14_203 ),
inference(subsumption_resolution,[],[f39855,f385]) ).
fof(f39855,plain,
( big_f(sK5,sK5)
| ~ spl14_105
| ~ spl14_203 ),
inference(backward_demodulation,[],[f27133,f9106]) ).
fof(f39190,plain,
( spl14_23
| ~ spl14_49
| ~ spl14_50
| ~ spl14_112
| ~ spl14_203
| ~ spl14_290 ),
inference(avatar_contradiction_clause,[],[f39189]) ).
fof(f39189,plain,
( $false
| spl14_23
| ~ spl14_49
| ~ spl14_50
| ~ spl14_112
| ~ spl14_203
| ~ spl14_290 ),
inference(subsumption_resolution,[],[f39074,f385]) ).
fof(f39074,plain,
( big_f(sK5,sK5)
| ~ spl14_49
| ~ spl14_50
| ~ spl14_112
| ~ spl14_203
| ~ spl14_290 ),
inference(backward_demodulation,[],[f27133,f38962]) ).
fof(f38962,plain,
( ! [X0] : sK5 = X0
| ~ spl14_49
| ~ spl14_50
| ~ spl14_112
| ~ spl14_290 ),
inference(subsumption_resolution,[],[f38955,f10991]) ).
fof(f10991,plain,
( ! [X1] :
( sK5 != sK10(sK5,X1)
| sK5 = X1 )
| ~ spl14_112 ),
inference(avatar_component_clause,[],[f10990]) ).
fof(f10990,plain,
( spl14_112
<=> ! [X1] :
( sK5 != sK10(sK5,X1)
| sK5 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_112])]) ).
fof(f38955,plain,
( ! [X0] :
( sK5 = sK10(sK5,X0)
| sK5 = X0 )
| ~ spl14_49
| ~ spl14_50
| ~ spl14_290 ),
inference(superposition,[],[f38954,f27755]) ).
fof(f27755,plain,
( ! [X0] :
( sK7 = X0
| sK5 = X0 )
| ~ spl14_49
| ~ spl14_50 ),
inference(forward_demodulation,[],[f1762,f1767]) ).
fof(f1762,plain,
( ! [X0] :
( sK9(sK5) = X0
| sK5 = X0 )
| ~ spl14_49 ),
inference(avatar_component_clause,[],[f1761]) ).
fof(f38954,plain,
( sK5 = sK10(sK5,sK7)
| ~ spl14_290 ),
inference(equality_resolution,[],[f38618]) ).
fof(f38619,plain,
( ~ spl14_57
| spl14_290
| ~ spl14_49
| ~ spl14_50
| spl14_108 ),
inference(avatar_split_clause,[],[f38335,f9965,f1766,f1761,f38617,f2216]) ).
fof(f38335,plain,
( ! [X11] :
( sK7 != X11
| ~ big_f(sK5,sK7)
| sK5 = sK10(sK5,X11) )
| ~ spl14_49
| ~ spl14_50
| spl14_108 ),
inference(superposition,[],[f37936,f27755]) ).
fof(f37936,plain,
( ! [X20] :
( sK10(sK5,X20) != X20
| ~ big_f(sK5,sK10(sK5,X20)) )
| spl14_108 ),
inference(resolution,[],[f49,f9966]) ).
fof(f37878,plain,
( spl14_29
| spl14_112
| ~ spl14_15
| spl14_23
| spl14_108 ),
inference(avatar_split_clause,[],[f37794,f9965,f384,f198,f10990,f1024]) ).
fof(f37794,plain,
( ! [X0,X1] :
( sK5 != sK10(sK5,X1)
| sK5 = X0
| sK5 = X1 )
| ~ spl14_15
| spl14_23
| spl14_108 ),
inference(equality_factoring,[],[f36302]) ).
fof(f36302,plain,
( ! [X4,X5] :
( sK10(sK5,X4) = X5
| sK5 = X5
| sK5 = X4 )
| ~ spl14_15
| spl14_23
| spl14_108 ),
inference(subsumption_resolution,[],[f36283,f385]) ).
fof(f36283,plain,
( ! [X4,X5] :
( big_f(sK5,sK5)
| sK5 = X4
| sK5 = X5
| sK10(sK5,X4) = X5 )
| ~ spl14_15
| spl14_108 ),
inference(superposition,[],[f36262,f1076]) ).
fof(f36262,plain,
( ! [X17] :
( big_f(sK5,sK10(sK5,X17))
| sK10(sK5,X17) = X17 )
| spl14_108 ),
inference(resolution,[],[f48,f9966]) ).
fof(f27743,plain,
( spl14_159
| spl14_158
| ~ spl14_4
| ~ spl14_12
| ~ spl14_15 ),
inference(avatar_split_clause,[],[f26464,f198,f111,f71,f18356,f18359]) ).
fof(f26464,plain,
( sK5 = sK11(sK13)
| sK5 = sK9(sK5)
| ~ spl14_4
| ~ spl14_12
| ~ spl14_15 ),
inference(resolution,[],[f21043,f72]) ).
fof(f21043,plain,
( ! [X36] :
( ~ sP1(X36)
| sK11(sK13) = X36
| sK5 = sK9(X36) )
| ~ spl14_12
| ~ spl14_15 ),
inference(subsumption_resolution,[],[f21031,f1036]) ).
fof(f21031,plain,
( ! [X36] :
( ~ sP0(sK13)
| sK11(sK13) = X36
| ~ sP1(X36)
| sK5 = sK9(X36) )
| ~ spl14_15 ),
inference(superposition,[],[f1262,f1061]) ).
fof(f27742,plain,
( ~ spl14_36
| ~ spl14_57
| spl14_105
| ~ spl14_122 ),
inference(avatar_contradiction_clause,[],[f27741]) ).
fof(f27741,plain,
( $false
| ~ spl14_36
| ~ spl14_57
| spl14_105
| ~ spl14_122 ),
inference(subsumption_resolution,[],[f9104,f27686]) ).
fof(f27686,plain,
( sK5 = sK7
| ~ spl14_36
| ~ spl14_57
| ~ spl14_122 ),
inference(forward_demodulation,[],[f27685,f12428]) ).
fof(f27685,plain,
( sK5 = sK9(sK7)
| ~ spl14_36
| ~ spl14_57 ),
inference(subsumption_resolution,[],[f27680,f1214]) ).
fof(f27680,plain,
( sK5 = sK9(sK7)
| ~ sP1(sK7)
| ~ spl14_57 ),
inference(resolution,[],[f42,f2295]) ).
fof(f27736,plain,
( ~ spl14_10
| ~ spl14_12
| ~ spl14_15
| ~ spl14_36
| ~ spl14_57
| ~ spl14_122 ),
inference(avatar_contradiction_clause,[],[f27735]) ).
fof(f27735,plain,
( $false
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15
| ~ spl14_36
| ~ spl14_57
| ~ spl14_122 ),
inference(subsumption_resolution,[],[f27465,f27686]) ).
fof(f27465,plain,
( sK5 != sK7
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15 ),
inference(forward_demodulation,[],[f1060,f27374]) ).
fof(f27374,plain,
( sK7 = sK13
| ~ spl14_10
| ~ spl14_12 ),
inference(resolution,[],[f96,f1036]) ).
fof(f27730,plain,
( ~ spl14_1
| ~ spl14_4
| ~ spl14_10
| ~ spl14_36
| ~ spl14_43
| ~ spl14_57
| ~ spl14_122 ),
inference(avatar_contradiction_clause,[],[f27729]) ).
fof(f27729,plain,
( $false
| ~ spl14_1
| ~ spl14_4
| ~ spl14_10
| ~ spl14_36
| ~ spl14_43
| ~ spl14_57
| ~ spl14_122 ),
inference(subsumption_resolution,[],[f27728,f72]) ).
fof(f27728,plain,
( ~ sP1(sK5)
| ~ spl14_1
| ~ spl14_10
| ~ spl14_36
| ~ spl14_43
| ~ spl14_57
| ~ spl14_122 ),
inference(forward_demodulation,[],[f27727,f27686]) ).
fof(f27727,plain,
( ~ sP1(sK7)
| ~ spl14_1
| ~ spl14_10
| ~ spl14_36
| ~ spl14_43
| ~ spl14_57
| ~ spl14_122 ),
inference(subsumption_resolution,[],[f27651,f27686]) ).
fof(f27651,plain,
( sK5 != sK7
| ~ sP1(sK7)
| ~ spl14_1
| ~ spl14_10
| ~ spl14_43 ),
inference(superposition,[],[f60,f27369]) ).
fof(f27369,plain,
( sK7 = sK4(sK5)
| ~ spl14_10
| ~ spl14_43 ),
inference(resolution,[],[f96,f22079]) ).
fof(f22079,plain,
( sP0(sK4(sK5))
| ~ spl14_43 ),
inference(avatar_component_clause,[],[f1654]) ).
fof(f27718,plain,
( ~ spl14_9
| ~ spl14_36
| ~ spl14_57
| spl14_108
| ~ spl14_122 ),
inference(avatar_contradiction_clause,[],[f27717]) ).
fof(f27717,plain,
( $false
| ~ spl14_9
| ~ spl14_36
| ~ spl14_57
| spl14_108
| ~ spl14_122 ),
inference(subsumption_resolution,[],[f27689,f9966]) ).
fof(f27689,plain,
( sP0(sK5)
| ~ spl14_9
| ~ spl14_36
| ~ spl14_57
| ~ spl14_122 ),
inference(backward_demodulation,[],[f92,f27686]) ).
fof(f27211,plain,
( spl14_59
| ~ spl14_105
| ~ spl14_107 ),
inference(avatar_contradiction_clause,[],[f27210]) ).
fof(f27210,plain,
( $false
| spl14_59
| ~ spl14_105
| ~ spl14_107 ),
inference(subsumption_resolution,[],[f27207,f9963]) ).
fof(f27207,plain,
( sK5 != sK11(sK5)
| spl14_59
| ~ spl14_105 ),
inference(backward_demodulation,[],[f3725,f9106]) ).
fof(f27163,plain,
( ~ spl14_4
| ~ spl14_50
| spl14_105
| ~ spl14_107
| ~ spl14_108 ),
inference(avatar_contradiction_clause,[],[f27162]) ).
fof(f27162,plain,
( $false
| ~ spl14_4
| ~ spl14_50
| spl14_105
| ~ spl14_107
| ~ spl14_108 ),
inference(subsumption_resolution,[],[f27161,f9104]) ).
fof(f27161,plain,
( sK5 = sK7
| ~ spl14_4
| ~ spl14_50
| ~ spl14_107
| ~ spl14_108 ),
inference(forward_demodulation,[],[f27099,f1767]) ).
fof(f27099,plain,
( sK5 = sK9(sK5)
| ~ spl14_4
| ~ spl14_107
| ~ spl14_108 ),
inference(subsumption_resolution,[],[f26800,f12387]) ).
fof(f26800,plain,
( sK5 = sK9(sK5)
| ~ sP0(sK5)
| ~ spl14_4
| ~ spl14_107 ),
inference(subsumption_resolution,[],[f26438,f72]) ).
fof(f26438,plain,
( ~ sP1(sK5)
| sK5 = sK9(sK5)
| ~ sP0(sK5)
| ~ spl14_107 ),
inference(superposition,[],[f21779,f9963]) ).
fof(f27139,plain,
( spl14_105
| spl14_29
| ~ spl14_5
| ~ spl14_15
| ~ spl14_36 ),
inference(avatar_split_clause,[],[f27138,f1145,f198,f75,f1024,f9103]) ).
fof(f27138,plain,
( ! [X0] :
( sK5 = X0
| sK5 = sK7 )
| ~ spl14_5
| ~ spl14_15
| ~ spl14_36 ),
inference(subsumption_resolution,[],[f26934,f76]) ).
fof(f26934,plain,
( ! [X0] :
( sP1(X0)
| sK5 = X0
| sK5 = sK7 )
| ~ spl14_15
| ~ spl14_36 ),
inference(superposition,[],[f1214,f1076]) ).
fof(f27135,plain,
( ~ spl14_9
| spl14_203
| ~ spl14_59 ),
inference(avatar_split_clause,[],[f21660,f2226,f27132,f91]) ).
fof(f21660,plain,
( big_f(sK7,sK5)
| ~ sP0(sK7)
| ~ spl14_59 ),
inference(superposition,[],[f57,f2227]) ).
fof(f27045,plain,
( spl14_9
| ~ spl14_105
| ~ spl14_108 ),
inference(avatar_contradiction_clause,[],[f27044]) ).
fof(f27044,plain,
( $false
| spl14_9
| ~ spl14_105
| ~ spl14_108 ),
inference(subsumption_resolution,[],[f27043,f12387]) ).
fof(f27043,plain,
( ~ sP0(sK5)
| spl14_9
| ~ spl14_105 ),
inference(backward_demodulation,[],[f21517,f9106]) ).
fof(f27038,plain,
( ~ spl14_4
| spl14_17
| ~ spl14_23
| ~ spl14_49 ),
inference(avatar_contradiction_clause,[],[f27037]) ).
fof(f27037,plain,
( $false
| ~ spl14_4
| spl14_17
| ~ spl14_23
| ~ spl14_49 ),
inference(subsumption_resolution,[],[f27036,f72]) ).
fof(f27036,plain,
( ~ sP1(sK5)
| ~ spl14_4
| spl14_17
| ~ spl14_23
| ~ spl14_49 ),
inference(forward_demodulation,[],[f302,f26974]) ).
fof(f26974,plain,
( ! [X0] : sK5 = X0
| ~ spl14_4
| ~ spl14_23
| ~ spl14_49 ),
inference(duplicate_literal_removal,[],[f26973]) ).
fof(f26973,plain,
( ! [X0] :
( sK5 = X0
| sK5 = X0 )
| ~ spl14_4
| ~ spl14_23
| ~ spl14_49 ),
inference(forward_demodulation,[],[f1762,f26969]) ).
fof(f26969,plain,
( sK5 = sK9(sK5)
| ~ spl14_4
| ~ spl14_23 ),
inference(subsumption_resolution,[],[f26964,f72]) ).
fof(f26964,plain,
( sK5 = sK9(sK5)
| ~ sP1(sK5)
| ~ spl14_23 ),
inference(resolution,[],[f2289,f42]) ).
fof(f27006,plain,
( ~ spl14_4
| ~ spl14_15
| ~ spl14_23
| ~ spl14_49 ),
inference(avatar_contradiction_clause,[],[f27005]) ).
fof(f27005,plain,
( $false
| ~ spl14_4
| ~ spl14_15
| ~ spl14_23
| ~ spl14_49 ),
inference(trivial_inequality_removal,[],[f27003]) ).
fof(f27003,plain,
( sK5 != sK5
| ~ spl14_4
| ~ spl14_15
| ~ spl14_23
| ~ spl14_49 ),
inference(backward_demodulation,[],[f1060,f26974]) ).
fof(f26972,plain,
( ~ spl14_4
| ~ spl14_9
| ~ spl14_23
| ~ spl14_59
| spl14_105 ),
inference(avatar_contradiction_clause,[],[f26971]) ).
fof(f26971,plain,
( $false
| ~ spl14_4
| ~ spl14_9
| ~ spl14_23
| ~ spl14_59
| spl14_105 ),
inference(subsumption_resolution,[],[f26970,f9104]) ).
fof(f26970,plain,
( sK5 = sK7
| ~ spl14_4
| ~ spl14_9
| ~ spl14_23
| ~ spl14_59 ),
inference(forward_demodulation,[],[f26969,f21881]) ).
fof(f21881,plain,
( sK7 = sK9(sK5)
| ~ spl14_4
| ~ spl14_9
| ~ spl14_59 ),
inference(subsumption_resolution,[],[f21776,f72]) ).
fof(f21776,plain,
( sK7 = sK9(sK5)
| ~ sP1(sK5)
| ~ spl14_9
| ~ spl14_59 ),
inference(resolution,[],[f42,f21662]) ).
fof(f21662,plain,
( big_f(sK7,sK5)
| ~ spl14_9
| ~ spl14_59 ),
inference(subsumption_resolution,[],[f21660,f92]) ).
fof(f26772,plain,
( ~ spl14_12
| ~ spl14_15
| ~ spl14_21
| ~ spl14_158 ),
inference(avatar_contradiction_clause,[],[f26771]) ).
fof(f26771,plain,
( $false
| ~ spl14_12
| ~ spl14_15
| ~ spl14_21
| ~ spl14_158 ),
inference(subsumption_resolution,[],[f26770,f1060]) ).
fof(f26770,plain,
( sK5 = sK13
| ~ spl14_12
| ~ spl14_21
| ~ spl14_158 ),
inference(forward_demodulation,[],[f18357,f26622]) ).
fof(f26622,plain,
( sK13 = sK11(sK13)
| ~ spl14_12
| ~ spl14_21 ),
inference(subsumption_resolution,[],[f26615,f1036]) ).
fof(f26615,plain,
( sK13 = sK11(sK13)
| ~ sP0(sK13)
| ~ spl14_21 ),
inference(resolution,[],[f26612,f46]) ).
fof(f26657,plain,
( ~ spl14_15
| spl14_17
| ~ spl14_107
| ~ spl14_108
| ~ spl14_137 ),
inference(avatar_contradiction_clause,[],[f26656]) ).
fof(f26656,plain,
( $false
| ~ spl14_15
| spl14_17
| ~ spl14_107
| ~ spl14_108
| ~ spl14_137 ),
inference(subsumption_resolution,[],[f26655,f1060]) ).
fof(f26655,plain,
( sK5 = sK13
| ~ spl14_15
| spl14_17
| ~ spl14_107
| ~ spl14_108
| ~ spl14_137 ),
inference(forward_demodulation,[],[f26654,f9963]) ).
fof(f26654,plain,
( sK13 = sK11(sK5)
| ~ spl14_15
| spl14_17
| ~ spl14_108
| ~ spl14_137 ),
inference(subsumption_resolution,[],[f26641,f12387]) ).
fof(f26641,plain,
( sK13 = sK11(sK5)
| ~ sP0(sK5)
| ~ spl14_15
| spl14_17
| ~ spl14_137 ),
inference(resolution,[],[f26582,f46]) ).
fof(f26582,plain,
( big_f(sK5,sK13)
| ~ spl14_15
| spl14_17
| ~ spl14_137 ),
inference(subsumption_resolution,[],[f26562,f1060]) ).
fof(f26562,plain,
( big_f(sK5,sK13)
| sK5 = sK13
| ~ spl14_15
| spl14_17
| ~ spl14_137 ),
inference(duplicate_literal_removal,[],[f26546]) ).
fof(f26546,plain,
( big_f(sK5,sK13)
| sK5 = sK13
| sK5 = sK13
| ~ spl14_15
| spl14_17
| ~ spl14_137 ),
inference(superposition,[],[f15494,f23202]) ).
fof(f23202,plain,
( ! [X0] :
( sK5 = sK8(X0,X0)
| sK5 = X0 )
| ~ spl14_15
| ~ spl14_137 ),
inference(superposition,[],[f15673,f1061]) ).
fof(f15494,plain,
( ! [X0] :
( big_f(sK8(sK13,X0),sK13)
| sK8(sK13,X0) = X0 )
| spl14_17 ),
inference(resolution,[],[f302,f44]) ).
fof(f23113,plain,
( ~ spl14_4
| ~ spl14_12
| ~ spl14_15
| spl14_21
| ~ spl14_159 ),
inference(avatar_contradiction_clause,[],[f23112]) ).
fof(f23112,plain,
( $false
| ~ spl14_4
| ~ spl14_12
| ~ spl14_15
| spl14_21
| ~ spl14_159 ),
inference(subsumption_resolution,[],[f23111,f1060]) ).
fof(f23111,plain,
( sK5 = sK13
| ~ spl14_4
| ~ spl14_12
| ~ spl14_15
| spl14_21
| ~ spl14_159 ),
inference(forward_demodulation,[],[f23110,f18360]) ).
fof(f23110,plain,
( sK13 = sK9(sK5)
| ~ spl14_4
| ~ spl14_12
| ~ spl14_15
| spl14_21 ),
inference(subsumption_resolution,[],[f23100,f72]) ).
fof(f23100,plain,
( sK13 = sK9(sK5)
| ~ sP1(sK5)
| ~ spl14_12
| ~ spl14_15
| spl14_21 ),
inference(resolution,[],[f23096,f42]) ).
fof(f23096,plain,
( big_f(sK13,sK5)
| ~ spl14_12
| ~ spl14_15
| spl14_21 ),
inference(subsumption_resolution,[],[f23090,f1036]) ).
fof(f23090,plain,
( big_f(sK13,sK5)
| ~ sP0(sK13)
| ~ spl14_12
| ~ spl14_15
| spl14_21 ),
inference(superposition,[],[f57,f23076]) ).
fof(f23076,plain,
( sK5 = sK11(sK13)
| ~ spl14_12
| ~ spl14_15
| spl14_21 ),
inference(subsumption_resolution,[],[f23075,f1060]) ).
fof(f23075,plain,
( sK5 = sK11(sK13)
| sK5 = sK13
| ~ spl14_12
| ~ spl14_15
| spl14_21 ),
inference(subsumption_resolution,[],[f23063,f1036]) ).
fof(f23063,plain,
( ~ sP0(sK13)
| sK5 = sK11(sK13)
| sK5 = sK13
| ~ spl14_15
| spl14_21 ),
inference(resolution,[],[f21406,f21075]) ).
fof(f21075,plain,
( ! [X0] :
( ~ big_f(X0,X0)
| sK5 = X0 )
| ~ spl14_15
| spl14_21 ),
inference(superposition,[],[f341,f1061]) ).
fof(f21406,plain,
( ! [X1] :
( big_f(X1,sK13)
| ~ sP0(X1)
| sK5 = sK11(X1) )
| ~ spl14_15 ),
inference(superposition,[],[f57,f1061]) ).
fof(f22258,plain,
( spl14_57
| ~ spl14_105
| ~ spl14_107
| ~ spl14_108 ),
inference(avatar_contradiction_clause,[],[f22257]) ).
fof(f22257,plain,
( $false
| spl14_57
| ~ spl14_105
| ~ spl14_107
| ~ spl14_108 ),
inference(subsumption_resolution,[],[f22237,f21909]) ).
fof(f21909,plain,
( big_f(sK5,sK5)
| ~ spl14_107
| ~ spl14_108 ),
inference(subsumption_resolution,[],[f21661,f12387]) ).
fof(f21661,plain,
( big_f(sK5,sK5)
| ~ sP0(sK5)
| ~ spl14_107 ),
inference(superposition,[],[f57,f9963]) ).
fof(f22237,plain,
( ~ big_f(sK5,sK5)
| spl14_57
| ~ spl14_105 ),
inference(backward_demodulation,[],[f2217,f9106]) ).
fof(f21770,plain,
( ~ spl14_38
| spl14_46
| spl14_105 ),
inference(avatar_contradiction_clause,[],[f21769]) ).
fof(f21769,plain,
( $false
| ~ spl14_38
| spl14_46
| spl14_105 ),
inference(subsumption_resolution,[],[f21768,f9104]) ).
fof(f21768,plain,
( sK5 = sK7
| ~ spl14_38
| spl14_46 ),
inference(trivial_inequality_removal,[],[f21766]) ).
fof(f21766,plain,
( sK5 != sK5
| sK5 = sK7
| ~ spl14_38
| spl14_46 ),
inference(superposition,[],[f1668,f1213]) ).
fof(f1213,plain,
( ! [X0] :
( sK4(X0) = sK5
| sK7 = X0 )
| ~ spl14_38 ),
inference(avatar_component_clause,[],[f1212]) ).
fof(f1668,plain,
( sK5 != sK4(sK5)
| spl14_46 ),
inference(avatar_component_clause,[],[f1667]) ).
fof(f21609,plain,
( ~ spl14_15
| spl14_19
| ~ spl14_123 ),
inference(avatar_contradiction_clause,[],[f21608]) ).
fof(f21608,plain,
( $false
| ~ spl14_15
| spl14_19
| ~ spl14_123 ),
inference(trivial_inequality_removal,[],[f21606]) ).
fof(f21606,plain,
( sK5 != sK5
| ~ spl14_15
| spl14_19
| ~ spl14_123 ),
inference(backward_demodulation,[],[f1060,f21573]) ).
fof(f21573,plain,
( ! [X54] : sK5 = X54
| ~ spl14_15
| spl14_19
| ~ spl14_123 ),
inference(subsumption_resolution,[],[f12434,f21387]) ).
fof(f21387,plain,
( ! [X1] :
( ~ big_f(sK5,X1)
| sK5 = X1 )
| ~ spl14_15
| spl14_19 ),
inference(superposition,[],[f333,f1061]) ).
fof(f21187,plain,
( spl14_149
| spl14_150
| ~ spl14_15
| spl14_36 ),
inference(avatar_split_clause,[],[f21027,f1145,f198,f17772,f17769]) ).
fof(f21027,plain,
( ! [X33] :
( big_f(sK13,sK7)
| sK13 = X33
| sK5 = sK8(sK7,X33) )
| ~ spl14_15
| spl14_36 ),
inference(superposition,[],[f15437,f1061]) ).
fof(f15437,plain,
( ! [X0] :
( big_f(sK8(sK7,X0),sK7)
| sK8(sK7,X0) = X0 )
| spl14_36 ),
inference(resolution,[],[f44,f1146]) ).
fof(f21183,plain,
( spl14_136
| spl14_172
| ~ spl14_15
| spl14_21 ),
inference(avatar_split_clause,[],[f21076,f340,f198,f21180,f15666]) ).
fof(f21076,plain,
( ! [X1] :
( ~ big_f(X1,X1)
| sK5 = X1
| sK5 = sK13 )
| ~ spl14_15
| spl14_21 ),
inference(superposition,[],[f341,f1076]) ).
fof(f18722,plain,
( ~ spl14_57
| spl14_105
| ~ spl14_107
| ~ spl14_108 ),
inference(avatar_contradiction_clause,[],[f18721]) ).
fof(f18721,plain,
( $false
| ~ spl14_57
| spl14_105
| ~ spl14_107
| ~ spl14_108 ),
inference(subsumption_resolution,[],[f18720,f9104]) ).
fof(f18720,plain,
( sK5 = sK7
| ~ spl14_57
| ~ spl14_107
| ~ spl14_108 ),
inference(forward_demodulation,[],[f9963,f15990]) ).
fof(f15990,plain,
( sK7 = sK11(sK5)
| ~ spl14_57
| ~ spl14_108 ),
inference(subsumption_resolution,[],[f15985,f12387]) ).
fof(f15985,plain,
( sK7 = sK11(sK5)
| ~ sP0(sK5)
| ~ spl14_57 ),
inference(resolution,[],[f46,f2295]) ).
fof(f18718,plain,
( ~ spl14_4
| spl14_23
| ~ spl14_159 ),
inference(avatar_contradiction_clause,[],[f18717]) ).
fof(f18717,plain,
( $false
| ~ spl14_4
| spl14_23
| ~ spl14_159 ),
inference(subsumption_resolution,[],[f18716,f72]) ).
fof(f18716,plain,
( ~ sP1(sK5)
| spl14_23
| ~ spl14_159 ),
inference(subsumption_resolution,[],[f18715,f385]) ).
fof(f18715,plain,
( big_f(sK5,sK5)
| ~ sP1(sK5)
| ~ spl14_159 ),
inference(superposition,[],[f56,f18360]) ).
fof(f18695,plain,
( spl14_85
| spl14_152
| ~ spl14_81
| ~ spl14_154 ),
inference(avatar_split_clause,[],[f18550,f17787,f4671,f17780,f5523]) ).
fof(f18550,plain,
( big_f(sK7,sK7)
| sK5 = sK6(sK5)
| ~ spl14_81
| ~ spl14_154 ),
inference(superposition,[],[f17788,f4672]) ).
fof(f17788,plain,
( big_f(sK6(sK5),sK7)
| ~ spl14_154 ),
inference(avatar_component_clause,[],[f17787]) ).
fof(f17803,plain,
( ~ spl14_9
| ~ spl14_59
| spl14_105
| ~ spl14_152 ),
inference(avatar_contradiction_clause,[],[f17802]) ).
fof(f17802,plain,
( $false
| ~ spl14_9
| ~ spl14_59
| spl14_105
| ~ spl14_152 ),
inference(subsumption_resolution,[],[f17801,f9104]) ).
fof(f17801,plain,
( sK5 = sK7
| ~ spl14_9
| ~ spl14_59
| ~ spl14_152 ),
inference(forward_demodulation,[],[f17800,f2227]) ).
fof(f17800,plain,
( sK7 = sK11(sK7)
| ~ spl14_9
| ~ spl14_152 ),
inference(subsumption_resolution,[],[f17790,f92]) ).
fof(f17790,plain,
( sK7 = sK11(sK7)
| ~ sP0(sK7)
| ~ spl14_152 ),
inference(resolution,[],[f17781,f46]) ).
fof(f15785,plain,
( ~ spl14_4
| ~ spl14_15
| spl14_23
| spl14_36
| spl14_57
| ~ spl14_108 ),
inference(avatar_contradiction_clause,[],[f15784]) ).
fof(f15784,plain,
( $false
| ~ spl14_4
| ~ spl14_15
| spl14_23
| spl14_36
| spl14_57
| ~ spl14_108 ),
inference(subsumption_resolution,[],[f15783,f12387]) ).
fof(f15783,plain,
( ~ sP0(sK5)
| ~ spl14_4
| ~ spl14_15
| spl14_23
| spl14_36
| spl14_57
| ~ spl14_108 ),
inference(subsumption_resolution,[],[f15782,f385]) ).
fof(f15782,plain,
( big_f(sK5,sK5)
| ~ sP0(sK5)
| ~ spl14_4
| ~ spl14_15
| spl14_36
| spl14_57
| ~ spl14_108 ),
inference(superposition,[],[f57,f15777]) ).
fof(f15777,plain,
( sK5 = sK11(sK5)
| ~ spl14_4
| ~ spl14_15
| spl14_36
| spl14_57
| ~ spl14_108 ),
inference(subsumption_resolution,[],[f15774,f12387]) ).
fof(f15774,plain,
( sK5 = sK11(sK5)
| ~ sP0(sK5)
| ~ spl14_4
| ~ spl14_15
| spl14_36
| spl14_57 ),
inference(resolution,[],[f15512,f57]) ).
fof(f15512,plain,
( ! [X0] :
( ~ big_f(sK5,X0)
| sK5 = X0 )
| ~ spl14_4
| ~ spl14_15
| spl14_36
| spl14_57 ),
inference(superposition,[],[f2217,f15274]) ).
fof(f15274,plain,
( ! [X0] :
( sK7 = X0
| sK5 = X0 )
| ~ spl14_4
| ~ spl14_15
| spl14_36 ),
inference(resolution,[],[f15015,f1146]) ).
fof(f15015,plain,
( ! [X0,X1] :
( sP1(X0)
| sK5 = X1
| X0 = X1 )
| ~ spl14_4
| ~ spl14_15 ),
inference(superposition,[],[f72,f1076]) ).
fof(f15674,plain,
( spl14_137
| spl14_136
| ~ spl14_15
| ~ spl14_22 ),
inference(avatar_split_clause,[],[f15596,f343,f198,f15666,f15672]) ).
fof(f343,plain,
( spl14_22
<=> ! [X8] :
( sK13 != X8
| sK5 = sK8(sK13,X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_22])]) ).
fof(f15596,plain,
( sK5 = sK13
| sK5 = sK8(sK13,sK13)
| ~ spl14_15
| ~ spl14_22 ),
inference(superposition,[],[f14909,f1061]) ).
fof(f14909,plain,
( sK5 = sK8(sK13,sK13)
| ~ spl14_22 ),
inference(equality_resolution,[],[f344]) ).
fof(f344,plain,
( ! [X8] :
( sK13 != X8
| sK5 = sK8(sK13,X8) )
| ~ spl14_22 ),
inference(avatar_component_clause,[],[f343]) ).
fof(f14610,plain,
( ~ spl14_4
| spl14_36
| ~ spl14_105 ),
inference(avatar_contradiction_clause,[],[f14609]) ).
fof(f14609,plain,
( $false
| ~ spl14_4
| spl14_36
| ~ spl14_105 ),
inference(subsumption_resolution,[],[f14592,f72]) ).
fof(f14592,plain,
( ~ sP1(sK5)
| spl14_36
| ~ spl14_105 ),
inference(backward_demodulation,[],[f1146,f9106]) ).
fof(f14590,plain,
( ~ spl14_6
| ~ spl14_85
| ~ spl14_108 ),
inference(avatar_contradiction_clause,[],[f14589]) ).
fof(f14589,plain,
( $false
| ~ spl14_6
| ~ spl14_85
| ~ spl14_108 ),
inference(subsumption_resolution,[],[f14549,f12387]) ).
fof(f14549,plain,
( ~ sP0(sK5)
| ~ spl14_6
| ~ spl14_85 ),
inference(trivial_inequality_removal,[],[f14546]) ).
fof(f14546,plain,
( ~ sP0(sK5)
| sK5 != sK5
| ~ spl14_6
| ~ spl14_85 ),
inference(superposition,[],[f80,f5524]) ).
fof(f14559,plain,
( ~ spl14_8
| ~ spl14_11
| ~ spl14_15
| spl14_108 ),
inference(avatar_contradiction_clause,[],[f14558]) ).
fof(f14558,plain,
( $false
| ~ spl14_8
| ~ spl14_11
| ~ spl14_15
| spl14_108 ),
inference(subsumption_resolution,[],[f14557,f1060]) ).
fof(f14557,plain,
( sK5 = sK13
| ~ spl14_8
| ~ spl14_11
| ~ spl14_15
| spl14_108 ),
inference(subsumption_resolution,[],[f14552,f9966]) ).
fof(f14552,plain,
( sP0(sK5)
| sK5 = sK13
| ~ spl14_8
| ~ spl14_11
| ~ spl14_15 ),
inference(superposition,[],[f87,f1106]) ).
fof(f1106,plain,
( sK5 = sK6(sK13)
| ~ spl14_11
| ~ spl14_15 ),
inference(equality_resolution,[],[f1082]) ).
fof(f1082,plain,
( ! [X0] :
( sK13 != X0
| sK5 = sK6(X0) )
| ~ spl14_11
| ~ spl14_15 ),
inference(forward_demodulation,[],[f109,f199]) ).
fof(f109,plain,
( ! [X0] :
( sK13 != X0
| sK6(X0) = sK12 )
| ~ spl14_11 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f108,plain,
( spl14_11
<=> ! [X0] :
( sK13 != X0
| sK6(X0) = sK12 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_11])]) ).
fof(f14534,plain,
( ~ spl14_5
| ~ spl14_15
| ~ spl14_17 ),
inference(avatar_contradiction_clause,[],[f14533]) ).
fof(f14533,plain,
( $false
| ~ spl14_5
| ~ spl14_15
| ~ spl14_17 ),
inference(subsumption_resolution,[],[f14530,f1060]) ).
fof(f14530,plain,
( sK5 = sK13
| ~ spl14_5
| ~ spl14_17 ),
inference(resolution,[],[f14528,f76]) ).
fof(f14414,plain,
( ~ spl14_15
| ~ spl14_29 ),
inference(avatar_contradiction_clause,[],[f14413]) ).
fof(f14413,plain,
( $false
| ~ spl14_15
| ~ spl14_29 ),
inference(subsumption_resolution,[],[f1060,f1025]) ).
fof(f14209,plain,
( spl14_29
| ~ spl14_105
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15 ),
inference(avatar_split_clause,[],[f14159,f198,f111,f95,f9103,f1024]) ).
fof(f14159,plain,
( ! [X0] :
( sK5 != sK7
| sK5 = X0 )
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15 ),
inference(equality_factoring,[],[f13854]) ).
fof(f13854,plain,
( ! [X52] :
( sK7 = X52
| sK5 = X52 )
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15 ),
inference(forward_demodulation,[],[f13853,f1114]) ).
fof(f1114,plain,
( sK7 = sK13
| ~ spl14_10
| ~ spl14_12 ),
inference(resolution,[],[f96,f1036]) ).
fof(f13853,plain,
( ! [X52] :
( sK5 = X52
| sK13 = X52 )
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15 ),
inference(subsumption_resolution,[],[f13716,f1120]) ).
fof(f1120,plain,
( sK5 != sK7
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15 ),
inference(backward_demodulation,[],[f1060,f1114]) ).
fof(f13716,plain,
( ! [X52] :
( sK5 = sK7
| sK5 = X52
| sK13 = X52 )
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15 ),
inference(superposition,[],[f1114,f1076]) ).
fof(f13966,plain,
( ~ spl14_3
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15
| spl14_23
| spl14_36
| ~ spl14_52
| ~ spl14_57
| spl14_108 ),
inference(avatar_contradiction_clause,[],[f13965]) ).
fof(f13965,plain,
( $false
| ~ spl14_3
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15
| spl14_23
| spl14_36
| ~ spl14_52
| ~ spl14_57
| spl14_108 ),
inference(subsumption_resolution,[],[f13964,f1120]) ).
fof(f13964,plain,
( sK5 = sK7
| ~ spl14_3
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15
| spl14_23
| spl14_36
| ~ spl14_52
| ~ spl14_57
| spl14_108 ),
inference(subsumption_resolution,[],[f13951,f385]) ).
fof(f13951,plain,
( big_f(sK5,sK5)
| sK5 = sK7
| ~ spl14_3
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15
| spl14_23
| spl14_36
| ~ spl14_52
| ~ spl14_57
| spl14_108 ),
inference(superposition,[],[f12451,f13617]) ).
fof(f13617,plain,
( sK5 = sK10(sK5,sK7)
| ~ spl14_3
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15
| spl14_23
| spl14_36
| ~ spl14_52
| ~ spl14_57
| spl14_108 ),
inference(equality_resolution,[],[f13512]) ).
fof(f13512,plain,
( ! [X9] :
( sK7 != X9
| sK5 = sK10(sK5,X9) )
| ~ spl14_3
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15
| spl14_23
| spl14_36
| ~ spl14_52
| ~ spl14_57
| spl14_108 ),
inference(subsumption_resolution,[],[f13509,f2295]) ).
fof(f13509,plain,
( ! [X9] :
( sK7 != X9
| ~ big_f(sK5,sK7)
| sK5 = sK10(sK5,X9) )
| ~ spl14_3
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15
| spl14_23
| spl14_36
| ~ spl14_52
| ~ spl14_57
| spl14_108 ),
inference(superposition,[],[f12450,f12582]) ).
fof(f12582,plain,
( ! [X0] :
( sK7 = X0
| sK5 = X0 )
| ~ spl14_3
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15
| spl14_23
| spl14_36
| ~ spl14_52
| ~ spl14_57 ),
inference(backward_demodulation,[],[f12522,f9657]) ).
fof(f9657,plain,
( ! [X0] : sK4(X0) = X0
| ~ spl14_3
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15
| spl14_36
| ~ spl14_52 ),
inference(subsumption_resolution,[],[f9654,f1777]) ).
fof(f9654,plain,
( ! [X0] :
( sK5 != X0
| sK4(X0) = X0 )
| ~ spl14_3
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15
| spl14_36 ),
inference(equality_factoring,[],[f9632]) ).
fof(f9632,plain,
( ! [X0] :
( sK4(X0) = X0
| sK4(X0) = sK5 )
| ~ spl14_3
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15
| spl14_36 ),
inference(resolution,[],[f67,f9609]) ).
fof(f9609,plain,
( ! [X2] :
( ~ sP1(X2)
| sK5 = X2 )
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15
| spl14_36 ),
inference(superposition,[],[f1146,f1121]) ).
fof(f1121,plain,
( ! [X2] :
( sK7 = X2
| sK5 = X2 )
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15 ),
inference(backward_demodulation,[],[f1061,f1114]) ).
fof(f12522,plain,
( ! [X0] :
( sK7 = X0
| sK4(X0) = sK5 )
| ~ spl14_3
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15
| spl14_23
| spl14_36
| ~ spl14_52
| ~ spl14_57 ),
inference(superposition,[],[f9657,f12507]) ).
fof(f12507,plain,
( ! [X4] :
( sK7 = X4
| sK5 = X4 )
| ~ spl14_15
| spl14_23
| ~ spl14_57 ),
inference(subsumption_resolution,[],[f12467,f385]) ).
fof(f12467,plain,
( ! [X4] :
( big_f(sK5,sK5)
| sK5 = X4
| sK7 = X4 )
| ~ spl14_15
| ~ spl14_57 ),
inference(superposition,[],[f2295,f1076]) ).
fof(f12450,plain,
( ! [X0] :
( sK10(sK5,X0) != X0
| ~ big_f(sK5,sK10(sK5,X0)) )
| spl14_108 ),
inference(resolution,[],[f9966,f49]) ).
fof(f12451,plain,
( ! [X1] :
( big_f(sK5,sK10(sK5,X1))
| sK10(sK5,X1) = X1 )
| spl14_108 ),
inference(resolution,[],[f9966,f48]) ).
fof(f12509,plain,
( spl14_105
| spl14_123
| ~ spl14_15
| ~ spl14_57 ),
inference(avatar_split_clause,[],[f12464,f2216,f198,f12433,f9103]) ).
fof(f12464,plain,
( ! [X1] :
( big_f(sK5,X1)
| sK5 = X1
| sK5 = sK7 )
| ~ spl14_15
| ~ spl14_57 ),
inference(superposition,[],[f2295,f1076]) ).
fof(f12446,plain,
( spl14_122
| spl14_59
| ~ spl14_9
| ~ spl14_54 ),
inference(avatar_split_clause,[],[f10339,f1821,f91,f2226,f12427]) ).
fof(f1821,plain,
( spl14_54
<=> ! [X9] :
( sK9(sK7) = X9
| sK5 = sK11(X9)
| ~ sP0(X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_54])]) ).
fof(f10339,plain,
( sK5 = sK11(sK7)
| sK7 = sK9(sK7)
| ~ spl14_9
| ~ spl14_54 ),
inference(resolution,[],[f1822,f92]) ).
fof(f1822,plain,
( ! [X9] :
( ~ sP0(X9)
| sK5 = sK11(X9)
| sK9(sK7) = X9 )
| ~ spl14_54 ),
inference(avatar_component_clause,[],[f1821]) ).
fof(f12420,plain,
( ~ spl14_10
| ~ spl14_12
| ~ spl14_15
| ~ spl14_108 ),
inference(avatar_contradiction_clause,[],[f12419]) ).
fof(f12419,plain,
( $false
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15
| ~ spl14_108 ),
inference(subsumption_resolution,[],[f12412,f1120]) ).
fof(f12412,plain,
( sK5 = sK7
| ~ spl14_10
| ~ spl14_108 ),
inference(resolution,[],[f12387,f96]) ).
fof(f12220,plain,
( ~ spl14_108
| spl14_107
| ~ spl14_23 ),
inference(avatar_split_clause,[],[f10030,f384,f9962,f9965]) ).
fof(f10030,plain,
( sK5 = sK11(sK5)
| ~ sP0(sK5)
| ~ spl14_23 ),
inference(resolution,[],[f46,f2289]) ).
fof(f12188,plain,
( ~ spl14_23
| ~ spl14_78
| spl14_108 ),
inference(avatar_contradiction_clause,[],[f12187]) ).
fof(f12187,plain,
( $false
| ~ spl14_23
| ~ spl14_78
| spl14_108 ),
inference(subsumption_resolution,[],[f12186,f2289]) ).
fof(f12186,plain,
( ~ big_f(sK5,sK5)
| ~ spl14_78
| spl14_108 ),
inference(trivial_inequality_removal,[],[f12169]) ).
fof(f12169,plain,
( sK5 != sK5
| ~ big_f(sK5,sK5)
| ~ spl14_78
| spl14_108 ),
inference(superposition,[],[f12158,f8924]) ).
fof(f8924,plain,
( sK5 = sK10(sK5,sK5)
| ~ spl14_78 ),
inference(avatar_component_clause,[],[f4599]) ).
fof(f12158,plain,
( ! [X0] :
( sK10(sK5,X0) != X0
| ~ big_f(sK5,sK10(sK5,X0)) )
| spl14_108 ),
inference(resolution,[],[f49,f9966]) ).
fof(f9953,plain,
( ~ spl14_9
| spl14_23
| ~ spl14_59
| ~ spl14_66 ),
inference(avatar_contradiction_clause,[],[f9952]) ).
fof(f9952,plain,
( $false
| ~ spl14_9
| spl14_23
| ~ spl14_59
| ~ spl14_66 ),
inference(subsumption_resolution,[],[f9939,f385]) ).
fof(f9939,plain,
( big_f(sK5,sK5)
| ~ spl14_9
| spl14_23
| ~ spl14_59
| ~ spl14_66 ),
inference(backward_demodulation,[],[f9605,f9928]) ).
fof(f9928,plain,
( ! [X0] : sK5 = X0
| spl14_23
| ~ spl14_66 ),
inference(duplicate_literal_removal,[],[f9920]) ).
fof(f9920,plain,
( ! [X0] :
( sK5 = X0
| sK5 = X0 )
| spl14_23
| ~ spl14_66 ),
inference(resolution,[],[f2723,f385]) ).
fof(f2723,plain,
( ! [X8,X9] :
( big_f(X8,sK5)
| X8 = X9
| sK5 = X9 )
| ~ spl14_66 ),
inference(avatar_component_clause,[],[f2722]) ).
fof(f2722,plain,
( spl14_66
<=> ! [X9,X8] :
( big_f(X8,sK5)
| X8 = X9
| sK5 = X9 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_66])]) ).
fof(f9605,plain,
( big_f(sK7,sK5)
| ~ spl14_9
| ~ spl14_59 ),
inference(subsumption_resolution,[],[f9604,f92]) ).
fof(f9604,plain,
( big_f(sK7,sK5)
| ~ sP0(sK7)
| ~ spl14_59 ),
inference(superposition,[],[f57,f2227]) ).
fof(f9949,plain,
( ~ spl14_10
| ~ spl14_12
| ~ spl14_15
| spl14_23
| ~ spl14_66 ),
inference(avatar_contradiction_clause,[],[f9948]) ).
fof(f9948,plain,
( $false
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15
| spl14_23
| ~ spl14_66 ),
inference(trivial_inequality_removal,[],[f9933]) ).
fof(f9933,plain,
( sK5 != sK5
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15
| spl14_23
| ~ spl14_66 ),
inference(backward_demodulation,[],[f1120,f9928]) ).
fof(f9422,plain,
( ~ spl14_10
| ~ spl14_12
| ~ spl14_15
| ~ spl14_56 ),
inference(avatar_contradiction_clause,[],[f9421]) ).
fof(f9421,plain,
( $false
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15
| ~ spl14_56 ),
inference(subsumption_resolution,[],[f9418,f9417]) ).
fof(f9417,plain,
( ! [X0,X1] : X0 = X1
| ~ spl14_56 ),
inference(superposition,[],[f2214,f2214]) ).
fof(f2214,plain,
( ! [X0] : sK7 = X0
| ~ spl14_56 ),
inference(avatar_component_clause,[],[f2213]) ).
fof(f2213,plain,
( spl14_56
<=> ! [X0] : sK7 = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_56])]) ).
fof(f9418,plain,
( ! [X0] : sK5 != X0
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15
| ~ spl14_56 ),
inference(superposition,[],[f1120,f2214]) ).
fof(f9274,plain,
( ~ spl14_36
| spl14_37
| ~ spl14_1
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15 ),
inference(avatar_split_clause,[],[f1236,f198,f111,f95,f59,f1148,f1145]) ).
fof(f1236,plain,
( ! [X0] :
( sK7 != X0
| ~ sP1(sK7)
| sK4(X0) = sK5 )
| ~ spl14_1
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15 ),
inference(superposition,[],[f60,f1121]) ).
fof(f9271,plain,
( spl14_38
| spl14_36
| ~ spl14_3
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15 ),
inference(avatar_split_clause,[],[f9185,f198,f111,f95,f66,f1145,f1212]) ).
fof(f9185,plain,
( ! [X0] :
( sP1(sK7)
| sK7 = X0
| sK4(X0) = sK5 )
| ~ spl14_3
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15 ),
inference(superposition,[],[f67,f1121]) ).
fof(f9084,plain,
( ~ spl14_1
| ~ spl14_4
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15
| spl14_57
| spl14_78 ),
inference(avatar_contradiction_clause,[],[f9083]) ).
fof(f9083,plain,
( $false
| ~ spl14_1
| ~ spl14_4
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15
| spl14_57
| spl14_78 ),
inference(subsumption_resolution,[],[f9082,f72]) ).
fof(f9082,plain,
( ~ sP1(sK5)
| ~ spl14_1
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15
| spl14_57
| spl14_78 ),
inference(forward_demodulation,[],[f9081,f9043]) ).
fof(f9043,plain,
( ! [X3] : sK5 = X3
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15
| spl14_57
| spl14_78 ),
inference(subsumption_resolution,[],[f9026,f8936]) ).
fof(f8936,plain,
( ! [X5] :
( big_f(sK5,X5)
| sK5 = X5 )
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15
| spl14_78 ),
inference(subsumption_resolution,[],[f8138,f1120]) ).
fof(f8138,plain,
( ! [X5] :
( big_f(sK5,X5)
| sK5 = X5
| sK5 = sK7 )
| ~ spl14_10
| ~ spl14_15
| spl14_78 ),
inference(duplicate_literal_removal,[],[f8084]) ).
fof(f8084,plain,
( ! [X5] :
( big_f(sK5,X5)
| sK5 = X5
| sK5 = sK7
| sK5 = X5 )
| ~ spl14_10
| ~ spl14_15
| spl14_78 ),
inference(superposition,[],[f2259,f5515]) ).
fof(f5515,plain,
( ! [X54] :
( sK10(sK5,sK5) = X54
| sK5 = X54 )
| ~ spl14_15
| spl14_78 ),
inference(trivial_inequality_removal,[],[f5250]) ).
fof(f5250,plain,
( ! [X54] :
( sK5 != sK5
| sK5 = X54
| sK10(sK5,sK5) = X54 )
| ~ spl14_15
| spl14_78 ),
inference(superposition,[],[f4600,f1076]) ).
fof(f2259,plain,
( ! [X6,X5] :
( big_f(X5,sK10(X5,X6))
| sK10(X5,X6) = X6
| sK7 = X5 )
| ~ spl14_10 ),
inference(resolution,[],[f48,f96]) ).
fof(f9026,plain,
( ! [X3] :
( ~ big_f(sK5,X3)
| sK5 = X3 )
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15
| spl14_57 ),
inference(superposition,[],[f2217,f1121]) ).
fof(f9081,plain,
( ! [X0] : ~ sP1(sK4(X0))
| ~ spl14_1
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15
| spl14_57
| spl14_78 ),
inference(subsumption_resolution,[],[f9044,f9043]) ).
fof(f9044,plain,
( ! [X0] :
( sK5 != X0
| ~ sP1(sK4(X0)) )
| ~ spl14_1
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15
| spl14_57
| spl14_78 ),
inference(backward_demodulation,[],[f60,f9043]) ).
fof(f9078,plain,
( ~ spl14_10
| ~ spl14_12
| ~ spl14_15
| spl14_57
| spl14_78 ),
inference(avatar_contradiction_clause,[],[f9077]) ).
fof(f9077,plain,
( $false
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15
| spl14_57
| spl14_78 ),
inference(trivial_inequality_removal,[],[f9051]) ).
fof(f9051,plain,
( sK5 != sK5
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15
| spl14_57
| spl14_78 ),
inference(backward_demodulation,[],[f1120,f9043]) ).
fof(f8986,plain,
( ~ spl14_10
| ~ spl14_12
| ~ spl14_15
| ~ spl14_59
| spl14_78
| ~ spl14_98 ),
inference(avatar_contradiction_clause,[],[f8985]) ).
fof(f8985,plain,
( $false
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15
| ~ spl14_59
| spl14_78
| ~ spl14_98 ),
inference(trivial_inequality_removal,[],[f8961]) ).
fof(f8961,plain,
( sK5 != sK5
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15
| ~ spl14_59
| spl14_78
| ~ spl14_98 ),
inference(backward_demodulation,[],[f1120,f8953]) ).
fof(f8953,plain,
( ! [X22] : sK5 = X22
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15
| ~ spl14_59
| spl14_78
| ~ spl14_98 ),
inference(subsumption_resolution,[],[f8941,f8936]) ).
fof(f8941,plain,
( ! [X22] :
( sK5 = X22
| ~ big_f(sK5,X22) )
| ~ spl14_59
| ~ spl14_98 ),
inference(backward_demodulation,[],[f8565,f2227]) ).
fof(f8565,plain,
( ! [X22] :
( ~ big_f(sK5,X22)
| sK11(sK7) = X22 )
| ~ spl14_98 ),
inference(avatar_component_clause,[],[f8564]) ).
fof(f8564,plain,
( spl14_98
<=> ! [X22] :
( ~ big_f(sK5,X22)
| sK11(sK7) = X22 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_98])]) ).
fof(f8714,plain,
( ~ spl14_9
| ~ spl14_10
| ~ spl14_12
| spl14_14
| ~ spl14_15
| ~ spl14_57
| ~ spl14_98 ),
inference(avatar_contradiction_clause,[],[f8713]) ).
fof(f8713,plain,
( $false
| ~ spl14_9
| ~ spl14_10
| ~ spl14_12
| spl14_14
| ~ spl14_15
| ~ spl14_57
| ~ spl14_98 ),
inference(subsumption_resolution,[],[f8652,f1065]) ).
fof(f1065,plain,
( ~ sP0(sK5)
| spl14_14
| ~ spl14_15 ),
inference(backward_demodulation,[],[f128,f199]) ).
fof(f8652,plain,
( sP0(sK5)
| ~ spl14_9
| ~ spl14_10
| ~ spl14_12
| spl14_14
| ~ spl14_15
| ~ spl14_57
| ~ spl14_98 ),
inference(backward_demodulation,[],[f92,f8651]) ).
fof(f8651,plain,
( ! [X22] : sK5 = X22
| ~ spl14_9
| ~ spl14_10
| ~ spl14_12
| spl14_14
| ~ spl14_15
| ~ spl14_57
| ~ spl14_98 ),
inference(subsumption_resolution,[],[f8649,f2680]) ).
fof(f2680,plain,
( ! [X2,X0,X1] :
( big_f(X1,X0)
| sK5 = X2
| X1 = X2
| sK5 = X0 )
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15
| ~ spl14_57 ),
inference(superposition,[],[f2654,f1121]) ).
fof(f2654,plain,
( ! [X0,X1] :
( big_f(X0,sK7)
| sK5 = X1
| X0 = X1 )
| ~ spl14_15
| ~ spl14_57 ),
inference(superposition,[],[f2295,f1076]) ).
fof(f8649,plain,
( ! [X22] :
( sK5 = X22
| ~ big_f(sK5,X22) )
| ~ spl14_9
| ~ spl14_10
| ~ spl14_12
| spl14_14
| ~ spl14_15
| ~ spl14_57
| ~ spl14_98 ),
inference(backward_demodulation,[],[f8565,f8648]) ).
fof(f8648,plain,
( sK5 = sK11(sK7)
| ~ spl14_9
| ~ spl14_10
| ~ spl14_12
| spl14_14
| ~ spl14_15
| ~ spl14_57
| ~ spl14_98 ),
inference(subsumption_resolution,[],[f8591,f1120]) ).
fof(f8591,plain,
( sK5 = sK11(sK7)
| sK5 = sK7
| ~ spl14_9
| ~ spl14_10
| ~ spl14_12
| spl14_14
| ~ spl14_15
| ~ spl14_57
| ~ spl14_98 ),
inference(resolution,[],[f8565,f8140]) ).
fof(f8140,plain,
( ! [X20] :
( big_f(X20,sK5)
| sK7 = X20 )
| ~ spl14_9
| ~ spl14_10
| ~ spl14_12
| spl14_14
| ~ spl14_15
| ~ spl14_57 ),
inference(subsumption_resolution,[],[f8126,f1120]) ).
fof(f8126,plain,
( ! [X20] :
( big_f(X20,sK5)
| sK5 = sK7
| sK7 = X20 )
| ~ spl14_9
| ~ spl14_10
| ~ spl14_12
| spl14_14
| ~ spl14_15
| ~ spl14_57 ),
inference(duplicate_literal_removal,[],[f8101]) ).
fof(f8101,plain,
( ! [X20] :
( big_f(X20,sK5)
| sK5 = sK7
| sK7 = X20
| sK7 = X20 )
| ~ spl14_9
| ~ spl14_10
| ~ spl14_12
| spl14_14
| ~ spl14_15
| ~ spl14_57 ),
inference(superposition,[],[f2259,f6428]) ).
fof(f6428,plain,
( ! [X10] :
( sK5 = sK10(X10,sK7)
| sK7 = X10 )
| ~ spl14_9
| ~ spl14_10
| ~ spl14_12
| spl14_14
| ~ spl14_15
| ~ spl14_57 ),
inference(duplicate_literal_removal,[],[f6419]) ).
fof(f6419,plain,
( ! [X10] :
( sK7 = X10
| sK7 = X10
| sK5 = sK10(X10,sK7) )
| ~ spl14_9
| ~ spl14_10
| ~ spl14_12
| spl14_14
| ~ spl14_15
| ~ spl14_57 ),
inference(superposition,[],[f6341,f1121]) ).
fof(f6341,plain,
( ! [X23] :
( sK10(X23,sK7) = X23
| sK7 = X23 )
| ~ spl14_9
| ~ spl14_10
| ~ spl14_12
| spl14_14
| ~ spl14_15
| ~ spl14_57 ),
inference(subsumption_resolution,[],[f6121,f1065]) ).
fof(f6121,plain,
( ! [X23] :
( sP0(sK5)
| sK10(X23,sK7) = X23
| sK7 = X23 )
| ~ spl14_9
| ~ spl14_10
| ~ spl14_12
| spl14_14
| ~ spl14_15
| ~ spl14_57 ),
inference(superposition,[],[f92,f4218]) ).
fof(f4218,plain,
( ! [X0,X1] :
( sK10(X0,sK7) = X0
| sK5 = X1
| X0 = X1 )
| ~ spl14_10
| ~ spl14_12
| spl14_14
| ~ spl14_15
| ~ spl14_57 ),
inference(superposition,[],[f4217,f1076]) ).
fof(f4217,plain,
( sK5 = sK10(sK5,sK7)
| ~ spl14_10
| ~ spl14_12
| spl14_14
| ~ spl14_15
| ~ spl14_57 ),
inference(equality_resolution,[],[f4211]) ).
fof(f4211,plain,
( ! [X9] :
( sK7 != X9
| sK5 = sK10(sK5,X9) )
| ~ spl14_10
| ~ spl14_12
| spl14_14
| ~ spl14_15
| ~ spl14_57 ),
inference(subsumption_resolution,[],[f4207,f2295]) ).
fof(f4207,plain,
( ! [X9] :
( sK7 != X9
| ~ big_f(sK5,sK7)
| sK5 = sK10(sK5,X9) )
| ~ spl14_10
| ~ spl14_12
| spl14_14
| ~ spl14_15 ),
inference(superposition,[],[f3293,f1121]) ).
fof(f3293,plain,
( ! [X5] :
( sK10(sK5,X5) != X5
| ~ big_f(sK5,sK10(sK5,X5)) )
| spl14_14
| ~ spl14_15 ),
inference(resolution,[],[f49,f1065]) ).
fof(f8647,plain,
( spl14_56
| ~ spl14_4
| ~ spl14_1
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15
| ~ spl14_38 ),
inference(avatar_split_clause,[],[f8646,f1212,f198,f111,f95,f59,f71,f2213]) ).
fof(f8646,plain,
( ! [X1] :
( ~ sP1(sK5)
| sK7 = X1 )
| ~ spl14_1
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15
| ~ spl14_38 ),
inference(subsumption_resolution,[],[f1982,f1121]) ).
fof(f1982,plain,
( ! [X1] :
( sK5 != X1
| ~ sP1(sK5)
| sK7 = X1 )
| ~ spl14_1
| ~ spl14_38 ),
inference(superposition,[],[f60,f1213]) ).
fof(f8637,plain,
( ~ spl14_23
| spl14_59
| ~ spl14_98 ),
inference(avatar_contradiction_clause,[],[f8636]) ).
fof(f8636,plain,
( $false
| ~ spl14_23
| spl14_59
| ~ spl14_98 ),
inference(subsumption_resolution,[],[f8574,f3725]) ).
fof(f8574,plain,
( sK5 = sK11(sK7)
| ~ spl14_23
| ~ spl14_98 ),
inference(resolution,[],[f8565,f2289]) ).
fof(f8566,plain,
( spl14_56
| spl14_98
| ~ spl14_1
| ~ spl14_3
| ~ spl14_9
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15
| spl14_36
| ~ spl14_52 ),
inference(avatar_split_clause,[],[f8562,f1776,f1145,f198,f111,f95,f91,f66,f59,f8564,f2213]) ).
fof(f8562,plain,
( ! [X22,X23] :
( ~ big_f(sK5,X22)
| sK7 = X23
| sK11(sK7) = X22 )
| ~ spl14_1
| ~ spl14_3
| ~ spl14_9
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15
| spl14_36
| ~ spl14_52 ),
inference(subsumption_resolution,[],[f8558,f1121]) ).
fof(f8558,plain,
( ! [X22,X23] :
( sK5 != X23
| ~ big_f(sK5,X22)
| sK7 = X23
| sK11(sK7) = X22 )
| ~ spl14_1
| ~ spl14_3
| ~ spl14_9
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15
| spl14_36
| ~ spl14_52 ),
inference(superposition,[],[f2202,f2177]) ).
fof(f2177,plain,
( ! [X2,X3] :
( sK5 = sK8(X3,X2)
| sK7 = X2
| sK11(sK7) = X3 )
| ~ spl14_1
| ~ spl14_3
| ~ spl14_9
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15
| spl14_36
| ~ spl14_52 ),
inference(subsumption_resolution,[],[f2171,f92]) ).
fof(f2171,plain,
( ! [X2,X3] :
( sK7 = X2
| sK5 = sK8(X3,X2)
| sK11(sK7) = X3
| ~ sP0(sK7) )
| ~ spl14_1
| ~ spl14_3
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15
| spl14_36
| ~ spl14_52 ),
inference(resolution,[],[f2168,f46]) ).
fof(f2168,plain,
( ! [X12,X13] :
( big_f(sK7,X12)
| sK7 = X13
| sK5 = sK8(X12,X13) )
| ~ spl14_1
| ~ spl14_3
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15
| spl14_36
| ~ spl14_52 ),
inference(superposition,[],[f2162,f1121]) ).
fof(f2162,plain,
( ! [X0,X1] :
( big_f(sK8(X0,X1),X0)
| sK8(X0,X1) = X1 )
| ~ spl14_1
| ~ spl14_3
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15
| spl14_36
| ~ spl14_52 ),
inference(resolution,[],[f44,f2015]) ).
fof(f2015,plain,
( ! [X0] : ~ sP1(X0)
| ~ spl14_1
| ~ spl14_3
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15
| spl14_36
| ~ spl14_52 ),
inference(forward_demodulation,[],[f2014,f2007]) ).
fof(f2007,plain,
( ! [X0] : sK4(X0) = X0
| ~ spl14_3
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15
| spl14_36
| ~ spl14_52 ),
inference(subsumption_resolution,[],[f2004,f1777]) ).
fof(f2004,plain,
( ! [X0] :
( sK5 != X0
| sK4(X0) = X0 )
| ~ spl14_3
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15
| spl14_36 ),
inference(equality_factoring,[],[f1972]) ).
fof(f1972,plain,
( ! [X0] :
( sK4(X0) = X0
| sK4(X0) = sK5 )
| ~ spl14_3
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15
| spl14_36 ),
inference(resolution,[],[f67,f1957]) ).
fof(f1957,plain,
( ! [X4] :
( ~ sP1(X4)
| sK5 = X4 )
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15
| spl14_36 ),
inference(superposition,[],[f1146,f1121]) ).
fof(f2014,plain,
( ! [X0] : ~ sP1(sK4(X0))
| ~ spl14_1
| ~ spl14_3
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15
| spl14_36
| ~ spl14_52 ),
inference(trivial_inequality_removal,[],[f2008]) ).
fof(f2008,plain,
( ! [X0] :
( X0 != X0
| ~ sP1(sK4(X0)) )
| ~ spl14_1
| ~ spl14_3
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15
| spl14_36
| ~ spl14_52 ),
inference(backward_demodulation,[],[f60,f2007]) ).
fof(f2202,plain,
( ! [X0,X1] :
( sK8(X0,X1) != X1
| ~ big_f(sK8(X0,X1),X0) )
| ~ spl14_1
| ~ spl14_3
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15
| spl14_36
| ~ spl14_52 ),
inference(resolution,[],[f45,f2015]) ).
fof(f4683,plain,
( spl14_29
| spl14_23
| ~ spl14_10
| ~ spl14_12
| spl14_14
| ~ spl14_15
| ~ spl14_57 ),
inference(avatar_split_clause,[],[f4245,f2216,f198,f127,f111,f95,f384,f1024]) ).
fof(f4245,plain,
( ! [X1] :
( big_f(sK5,sK5)
| sK5 = X1 )
| ~ spl14_10
| ~ spl14_12
| spl14_14
| ~ spl14_15
| ~ spl14_57 ),
inference(duplicate_literal_removal,[],[f4244]) ).
fof(f4244,plain,
( ! [X1] :
( big_f(sK5,sK5)
| sK5 = X1
| sK5 = X1 )
| ~ spl14_10
| ~ spl14_12
| spl14_14
| ~ spl14_15
| ~ spl14_57 ),
inference(superposition,[],[f2260,f4222]) ).
fof(f4222,plain,
( ! [X0] :
( sK5 = sK10(sK5,X0)
| sK5 = X0 )
| ~ spl14_10
| ~ spl14_12
| spl14_14
| ~ spl14_15
| ~ spl14_57 ),
inference(superposition,[],[f4217,f1121]) ).
fof(f2260,plain,
( ! [X7] :
( big_f(sK5,sK10(sK5,X7))
| sK10(sK5,X7) = X7 )
| spl14_14
| ~ spl14_15 ),
inference(resolution,[],[f48,f1065]) ).
fof(f3726,plain,
( spl14_29
| ~ spl14_59
| ~ spl14_64 ),
inference(avatar_split_clause,[],[f3715,f2508,f2226,f1024]) ).
fof(f2508,plain,
( spl14_64
<=> ! [X2] :
( sK5 = X2
| sK11(sK7) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_64])]) ).
fof(f3715,plain,
( ! [X0] :
( sK5 != sK11(sK7)
| sK5 = X0 )
| ~ spl14_64 ),
inference(equality_factoring,[],[f2509]) ).
fof(f2509,plain,
( ! [X2] :
( sK11(sK7) = X2
| sK5 = X2 )
| ~ spl14_64 ),
inference(avatar_component_clause,[],[f2508]) ).
fof(f2725,plain,
( spl14_64
| spl14_66
| ~ spl14_1
| ~ spl14_3
| ~ spl14_9
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15
| spl14_36
| ~ spl14_52 ),
inference(avatar_split_clause,[],[f2720,f1776,f1145,f198,f111,f95,f91,f66,f59,f2722,f2508]) ).
fof(f2720,plain,
( ! [X11,X12,X13] :
( big_f(X11,sK5)
| sK5 = X12
| X11 = X12
| sK5 = X13
| sK11(sK7) = X13 )
| ~ spl14_1
| ~ spl14_3
| ~ spl14_9
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15
| spl14_36
| ~ spl14_52 ),
inference(superposition,[],[f2638,f1076]) ).
fof(f2638,plain,
( ! [X0,X1] :
( big_f(X0,sK11(sK7))
| sK5 = X1
| X0 = X1 )
| ~ spl14_1
| ~ spl14_3
| ~ spl14_9
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15
| spl14_36
| ~ spl14_52 ),
inference(superposition,[],[f2636,f1076]) ).
fof(f2636,plain,
( big_f(sK5,sK11(sK7))
| ~ spl14_1
| ~ spl14_3
| ~ spl14_9
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15
| spl14_36
| ~ spl14_52 ),
inference(subsumption_resolution,[],[f2623,f1120]) ).
fof(f2623,plain,
( big_f(sK5,sK11(sK7))
| sK5 = sK7
| ~ spl14_1
| ~ spl14_3
| ~ spl14_9
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15
| spl14_36
| ~ spl14_52 ),
inference(superposition,[],[f2162,f2331]) ).
fof(f2331,plain,
( sK5 = sK8(sK11(sK7),sK7)
| ~ spl14_1
| ~ spl14_3
| ~ spl14_9
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15
| spl14_36
| ~ spl14_52 ),
inference(subsumption_resolution,[],[f2325,f92]) ).
fof(f2325,plain,
( sK5 = sK8(sK11(sK7),sK7)
| ~ sP0(sK7)
| ~ spl14_1
| ~ spl14_3
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15
| spl14_36
| ~ spl14_52 ),
inference(resolution,[],[f2318,f57]) ).
fof(f2318,plain,
( ! [X0] :
( ~ big_f(sK7,X0)
| sK5 = sK8(X0,sK7) )
| ~ spl14_1
| ~ spl14_3
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15
| spl14_36
| ~ spl14_52 ),
inference(equality_resolution,[],[f2210]) ).
fof(f2210,plain,
( ! [X18,X17] :
( sK7 != X18
| ~ big_f(sK7,X17)
| sK5 = sK8(X17,X18) )
| ~ spl14_1
| ~ spl14_3
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15
| spl14_36
| ~ spl14_52 ),
inference(superposition,[],[f2202,f1121]) ).
fof(f2652,plain,
( spl14_59
| spl14_57
| ~ spl14_1
| ~ spl14_3
| ~ spl14_9
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15
| spl14_36
| ~ spl14_52 ),
inference(avatar_split_clause,[],[f2647,f1776,f1145,f198,f111,f95,f91,f66,f59,f2216,f2226]) ).
fof(f2647,plain,
( big_f(sK5,sK7)
| sK5 = sK11(sK7)
| ~ spl14_1
| ~ spl14_3
| ~ spl14_9
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15
| spl14_36
| ~ spl14_52 ),
inference(superposition,[],[f2636,f1121]) ).
fof(f2291,plain,
( spl14_60
| spl14_23
| spl14_14
| ~ spl14_15 ),
inference(avatar_split_clause,[],[f2284,f198,f127,f384,f2287]) ).
fof(f2284,plain,
( ! [X6,X7] :
( big_f(sK5,sK5)
| sK5 = X6
| sK5 = X7
| sK10(sK5,X6) = X7 )
| spl14_14
| ~ spl14_15 ),
inference(superposition,[],[f2260,f1076]) ).
fof(f1829,plain,
( ~ spl14_36
| spl14_55
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15
| spl14_21 ),
inference(avatar_split_clause,[],[f1415,f340,f198,f111,f95,f1827,f1145]) ).
fof(f1415,plain,
( sK5 = sK9(sK7)
| ~ sP1(sK7)
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15
| spl14_21 ),
inference(resolution,[],[f1122,f1117]) ).
fof(f1117,plain,
( ~ big_f(sK7,sK7)
| ~ spl14_10
| ~ spl14_12
| spl14_21 ),
inference(backward_demodulation,[],[f341,f1114]) ).
fof(f1122,plain,
( ! [X0] :
( big_f(sK7,X0)
| sK5 = sK9(X0)
| ~ sP1(X0) )
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15 ),
inference(backward_demodulation,[],[f1063,f1114]) ).
fof(f1063,plain,
( ! [X0] :
( sK5 = sK9(X0)
| big_f(sK13,X0)
| ~ sP1(X0) )
| ~ spl14_15 ),
inference(backward_demodulation,[],[f104,f199]) ).
fof(f1825,plain,
( ~ spl14_36
| spl14_54
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15 ),
inference(avatar_split_clause,[],[f1470,f198,f111,f95,f1821,f1145]) ).
fof(f1470,plain,
( ! [X1] :
( sK5 = sK11(X1)
| ~ sP0(X1)
| sK9(sK7) = X1
| ~ sP1(sK7) )
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15 ),
inference(resolution,[],[f1123,f42]) ).
fof(f1123,plain,
( ! [X0] :
( big_f(X0,sK7)
| sK5 = sK11(X0)
| ~ sP0(X0) )
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15 ),
inference(backward_demodulation,[],[f1064,f1114]) ).
fof(f1064,plain,
( ! [X0] :
( sK5 = sK11(X0)
| big_f(X0,sK13)
| ~ sP0(X0) )
| ~ spl14_15 ),
inference(backward_demodulation,[],[f105,f199]) ).
fof(f105,plain,
! [X0] :
( big_f(X0,sK13)
| ~ sP0(X0)
| sK11(X0) = sK12 ),
inference(superposition,[],[f57,f53]) ).
fof(f1812,plain,
( ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15
| ~ spl14_37 ),
inference(avatar_contradiction_clause,[],[f1811]) ).
fof(f1811,plain,
( $false
| ~ spl14_3
| spl14_4
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15
| ~ spl14_37 ),
inference(subsumption_resolution,[],[f1756,f1782]) ).
fof(f1782,plain,
( sP1(sK5)
| ~ spl14_3
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15
| ~ spl14_37 ),
inference(subsumption_resolution,[],[f1247,f1120]) ).
fof(f1247,plain,
( sP1(sK5)
| sK5 = sK7
| ~ spl14_3
| ~ spl14_37 ),
inference(superposition,[],[f67,f1244]) ).
fof(f1244,plain,
( sK5 = sK4(sK7)
| ~ spl14_37 ),
inference(equality_resolution,[],[f1149]) ).
fof(f1770,plain,
( ~ spl14_4
| spl14_50
| ~ spl14_9
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15
| spl14_21 ),
inference(avatar_split_clause,[],[f1500,f340,f198,f111,f95,f91,f1766,f71]) ).
fof(f1500,plain,
( sK7 = sK9(sK5)
| ~ sP1(sK5)
| ~ spl14_9
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15
| spl14_21 ),
inference(resolution,[],[f1498,f42]) ).
fof(f1498,plain,
( big_f(sK7,sK5)
| ~ spl14_9
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15
| spl14_21 ),
inference(subsumption_resolution,[],[f1492,f92]) ).
fof(f1492,plain,
( big_f(sK7,sK5)
| ~ sP0(sK7)
| ~ spl14_9
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15
| spl14_21 ),
inference(superposition,[],[f57,f1479]) ).
fof(f1479,plain,
( sK5 = sK11(sK7)
| ~ spl14_9
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15
| spl14_21 ),
inference(subsumption_resolution,[],[f1478,f1120]) ).
fof(f1478,plain,
( sK5 = sK11(sK7)
| sK5 = sK7
| ~ spl14_9
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15
| spl14_21 ),
inference(subsumption_resolution,[],[f1468,f92]) ).
fof(f1468,plain,
( sK5 = sK11(sK7)
| ~ sP0(sK7)
| sK5 = sK7
| ~ spl14_10
| ~ spl14_12
| ~ spl14_15
| spl14_21 ),
inference(resolution,[],[f1123,f1069]) ).
fof(f1069,plain,
( ! [X2] :
( ~ big_f(X2,X2)
| sK5 = X2 )
| ~ spl14_15
| spl14_21 ),
inference(backward_demodulation,[],[f439,f199]) ).
fof(f439,plain,
( ! [X2] :
( ~ big_f(X2,X2)
| sK12 = X2 )
| spl14_21 ),
inference(superposition,[],[f341,f53]) ).
fof(f1686,plain,
( ~ spl14_3
| spl14_40
| spl14_46 ),
inference(avatar_contradiction_clause,[],[f1685]) ).
fof(f1685,plain,
( $false
| ~ spl14_3
| spl14_40
| spl14_46 ),
inference(subsumption_resolution,[],[f1670,f1668]) ).
fof(f1670,plain,
( sK5 = sK4(sK5)
| ~ spl14_3
| spl14_40 ),
inference(resolution,[],[f1645,f67]) ).
fof(f1645,plain,
( ~ sP1(sK4(sK5))
| spl14_40 ),
inference(avatar_component_clause,[],[f1642]) ).
fof(f1669,plain,
( spl14_29
| ~ spl14_46
| ~ spl14_1
| ~ spl14_4
| ~ spl14_15 ),
inference(avatar_split_clause,[],[f1634,f198,f71,f59,f1667,f1024]) ).
fof(f1634,plain,
( ! [X0] :
( sK5 != sK4(sK5)
| sK5 = X0 )
| ~ spl14_1
| ~ spl14_4
| ~ spl14_15 ),
inference(equality_factoring,[],[f1602]) ).
fof(f1602,plain,
( ! [X0] :
( sK4(sK5) = X0
| sK5 = X0 )
| ~ spl14_1
| ~ spl14_4
| ~ spl14_15 ),
inference(equality_resolution,[],[f1408]) ).
fof(f1408,plain,
( ! [X3,X4] :
( sK5 != X3
| sK5 = X4
| sK4(X3) = X4 )
| ~ spl14_1
| ~ spl14_4
| ~ spl14_15 ),
inference(subsumption_resolution,[],[f1281,f72]) ).
fof(f1281,plain,
( ! [X3,X4] :
( sK5 != X3
| ~ sP1(sK5)
| sK5 = X4
| sK4(X3) = X4 )
| ~ spl14_1
| ~ spl14_15 ),
inference(superposition,[],[f60,f1076]) ).
fof(f1113,plain,
( ~ spl14_8
| ~ spl14_11
| spl14_14
| ~ spl14_15 ),
inference(avatar_contradiction_clause,[],[f1112]) ).
fof(f1112,plain,
( $false
| ~ spl14_8
| ~ spl14_11
| spl14_14
| ~ spl14_15 ),
inference(subsumption_resolution,[],[f1111,f1060]) ).
fof(f1111,plain,
( sK5 = sK13
| ~ spl14_8
| ~ spl14_11
| spl14_14
| ~ spl14_15 ),
inference(subsumption_resolution,[],[f1109,f1065]) ).
fof(f1109,plain,
( sP0(sK5)
| sK5 = sK13
| ~ spl14_8
| ~ spl14_11
| ~ spl14_15 ),
inference(superposition,[],[f87,f1106]) ).
fof(f1059,plain,
( spl14_15
| spl14_16
| ~ spl14_4 ),
inference(avatar_split_clause,[],[f498,f71,f201,f198]) ).
fof(f498,plain,
( ! [X0] :
( sP1(X0)
| sK12 = X0
| sK5 = sK12 )
| ~ spl14_4 ),
inference(superposition,[],[f72,f101]) ).
fof(f1058,plain,
( spl14_15
| spl14_35
| ~ spl14_4
| spl14_24 ),
inference(avatar_split_clause,[],[f502,f405,f71,f1053,f198]) ).
fof(f502,plain,
( ! [X6] :
( sK12 = sK9(X6)
| sK12 = X6
| sK5 = sK12 )
| ~ spl14_4
| spl14_24 ),
inference(superposition,[],[f475,f101]) ).
fof(f475,plain,
( sK12 = sK9(sK5)
| ~ spl14_4
| spl14_24 ),
inference(subsumption_resolution,[],[f474,f72]) ).
fof(f474,plain,
( sK12 = sK9(sK5)
| ~ sP1(sK5)
| spl14_24 ),
inference(resolution,[],[f440,f56]) ).
fof(f440,plain,
( ! [X3] :
( ~ big_f(X3,sK5)
| sK12 = X3 )
| spl14_24 ),
inference(superposition,[],[f406,f53]) ).
fof(f1042,plain,
( spl14_15
| spl14_32
| spl14_24 ),
inference(avatar_split_clause,[],[f517,f405,f1039,f198]) ).
fof(f517,plain,
( ! [X4,X5] :
( ~ big_f(X5,X4)
| sK12 = X5
| sK5 = sK12
| sK12 = X4 )
| spl14_24 ),
inference(superposition,[],[f440,f101]) ).
fof(f858,plain,
( ~ spl14_25
| spl14_26
| ~ spl14_6
| ~ spl14_8
| spl14_12
| spl14_14
| spl14_19 ),
inference(avatar_split_clause,[],[f840,f332,f127,f111,f86,f79,f856,f853]) ).
fof(f840,plain,
( ! [X0] :
( sK12 != X0
| ~ big_f(sK5,sK12)
| sK10(sK5,X0) = X0 )
| ~ spl14_6
| ~ spl14_8
| spl14_12
| spl14_14
| spl14_19 ),
inference(superposition,[],[f307,f473]) ).
fof(f473,plain,
( ! [X0] :
( sK12 = sK10(sK5,X0)
| sK10(sK5,X0) = X0 )
| ~ spl14_6
| ~ spl14_8
| spl14_12
| spl14_14
| spl14_19 ),
inference(resolution,[],[f438,f287]) ).
fof(f287,plain,
( ! [X0,X1] :
( big_f(X0,sK10(X0,X1))
| sK10(X0,X1) = X1 )
| ~ spl14_6
| ~ spl14_8
| spl14_12
| spl14_14 ),
inference(resolution,[],[f48,f150]) ).
fof(f150,plain,
( ! [X0] : ~ sP0(X0)
| ~ spl14_6
| ~ spl14_8
| spl14_12
| spl14_14 ),
inference(forward_demodulation,[],[f149,f144]) ).
fof(f144,plain,
( ! [X0] : sK6(X0) = X0
| ~ spl14_8
| spl14_12
| spl14_14 ),
inference(subsumption_resolution,[],[f141,f143]) ).
fof(f143,plain,
( ! [X1] :
( sK12 = X1
| sK6(X1) = X1 )
| ~ spl14_8
| spl14_12
| spl14_14 ),
inference(subsumption_resolution,[],[f138,f128]) ).
fof(f138,plain,
( ! [X1] :
( sP0(sK12)
| sK12 = X1
| sK6(X1) = X1 )
| ~ spl14_8
| spl14_12 ),
inference(superposition,[],[f87,f116]) ).
fof(f116,plain,
( ! [X1] :
( sK6(X1) = X1
| sK12 = sK6(X1) )
| ~ spl14_8
| spl14_12 ),
inference(resolution,[],[f87,f114]) ).
fof(f114,plain,
( ! [X0] :
( ~ sP0(X0)
| sK12 = X0 )
| spl14_12 ),
inference(superposition,[],[f112,f53]) ).
fof(f141,plain,
( ! [X0] :
( sK12 != X0
| sK6(X0) = X0 )
| ~ spl14_8
| spl14_12 ),
inference(equality_factoring,[],[f116]) ).
fof(f149,plain,
( ! [X0] : ~ sP0(sK6(X0))
| ~ spl14_6
| ~ spl14_8
| spl14_12
| spl14_14 ),
inference(trivial_inequality_removal,[],[f145]) ).
fof(f145,plain,
( ! [X0] :
( X0 != X0
| ~ sP0(sK6(X0)) )
| ~ spl14_6
| ~ spl14_8
| spl14_12
| spl14_14 ),
inference(backward_demodulation,[],[f80,f144]) ).
fof(f438,plain,
( ! [X1] :
( ~ big_f(sK5,X1)
| sK12 = X1 )
| spl14_19 ),
inference(superposition,[],[f333,f53]) ).
fof(f307,plain,
( ! [X0,X1] :
( sK10(X0,X1) != X1
| ~ big_f(X0,sK10(X0,X1)) )
| ~ spl14_6
| ~ spl14_8
| spl14_12
| spl14_14 ),
inference(resolution,[],[f49,f150]) ).
fof(f435,plain,
( ~ spl14_16
| spl14_17 ),
inference(avatar_contradiction_clause,[],[f434]) ).
fof(f434,plain,
( $false
| ~ spl14_16
| spl14_17 ),
inference(subsumption_resolution,[],[f433,f52]) ).
fof(f433,plain,
( sK12 = sK13
| ~ spl14_16
| spl14_17 ),
inference(resolution,[],[f202,f302]) ).
fof(f431,plain,
( ~ spl14_4
| ~ spl14_15
| spl14_23
| spl14_24 ),
inference(avatar_contradiction_clause,[],[f430]) ).
fof(f430,plain,
( $false
| ~ spl14_4
| ~ spl14_15
| spl14_23
| spl14_24 ),
inference(subsumption_resolution,[],[f429,f72]) ).
fof(f429,plain,
( ~ sP1(sK5)
| ~ spl14_4
| ~ spl14_15
| spl14_23
| spl14_24 ),
inference(subsumption_resolution,[],[f426,f385]) ).
fof(f426,plain,
( big_f(sK5,sK5)
| ~ sP1(sK5)
| ~ spl14_4
| ~ spl14_15
| spl14_24 ),
inference(superposition,[],[f56,f418]) ).
fof(f418,plain,
( sK5 = sK9(sK5)
| ~ spl14_4
| ~ spl14_15
| spl14_24 ),
inference(subsumption_resolution,[],[f408,f72]) ).
fof(f408,plain,
( sK5 = sK9(sK5)
| ~ sP1(sK5)
| ~ spl14_15
| spl14_24 ),
inference(resolution,[],[f406,f212]) ).
fof(f212,plain,
( ! [X0] :
( big_f(sK13,X0)
| sK5 = sK9(X0)
| ~ sP1(X0) )
| ~ spl14_15 ),
inference(backward_demodulation,[],[f104,f199]) ).
fof(f407,plain,
( spl14_13
| ~ spl14_24
| ~ spl14_6
| ~ spl14_8
| spl14_12
| spl14_14
| ~ spl14_15
| spl14_21 ),
inference(avatar_split_clause,[],[f403,f340,f198,f127,f111,f86,f79,f405,f124]) ).
fof(f403,plain,
( ! [X0] :
( ~ big_f(sK13,sK5)
| sK13 = X0 )
| ~ spl14_6
| ~ spl14_8
| spl14_12
| spl14_14
| ~ spl14_15
| spl14_21 ),
inference(subsumption_resolution,[],[f399,f210]) ).
fof(f210,plain,
( ! [X2] :
( sK13 = X2
| sK5 = X2 )
| ~ spl14_15 ),
inference(backward_demodulation,[],[f53,f199]) ).
fof(f399,plain,
( ! [X0] :
( sK5 != X0
| ~ big_f(sK13,sK5)
| sK13 = X0 )
| ~ spl14_6
| ~ spl14_8
| spl14_12
| spl14_14
| ~ spl14_15
| spl14_21 ),
inference(superposition,[],[f307,f356]) ).
fof(f356,plain,
( ! [X0] :
( sK5 = sK10(sK13,X0)
| sK13 = X0 )
| ~ spl14_6
| ~ spl14_8
| spl14_12
| spl14_14
| ~ spl14_15
| spl14_21 ),
inference(resolution,[],[f341,f293]) ).
fof(f293,plain,
( ! [X12,X13] :
( big_f(X12,sK13)
| sK13 = X13
| sK5 = sK10(X12,X13) )
| ~ spl14_6
| ~ spl14_8
| spl14_12
| spl14_14
| ~ spl14_15 ),
inference(superposition,[],[f287,f210]) ).
fof(f386,plain,
( spl14_13
| ~ spl14_23
| ~ spl14_6
| ~ spl14_8
| spl14_12
| spl14_14
| ~ spl14_15
| spl14_19 ),
inference(avatar_split_clause,[],[f382,f332,f198,f127,f111,f86,f79,f384,f124]) ).
fof(f382,plain,
( ! [X0] :
( ~ big_f(sK5,sK5)
| sK13 = X0 )
| ~ spl14_6
| ~ spl14_8
| spl14_12
| spl14_14
| ~ spl14_15
| spl14_19 ),
inference(subsumption_resolution,[],[f378,f210]) ).
fof(f378,plain,
( ! [X0] :
( sK5 != X0
| ~ big_f(sK5,sK5)
| sK13 = X0 )
| ~ spl14_6
| ~ spl14_8
| spl14_12
| spl14_14
| ~ spl14_15
| spl14_19 ),
inference(superposition,[],[f307,f346]) ).
fof(f346,plain,
( ! [X0] :
( sK5 = sK10(sK5,X0)
| sK13 = X0 )
| ~ spl14_6
| ~ spl14_8
| spl14_12
| spl14_14
| ~ spl14_15
| spl14_19 ),
inference(resolution,[],[f333,f293]) ).
fof(f345,plain,
( ~ spl14_21
| spl14_22
| ~ spl14_15
| spl14_17 ),
inference(avatar_split_clause,[],[f330,f301,f198,f343,f340]) ).
fof(f330,plain,
( ! [X8] :
( sK13 != X8
| ~ big_f(sK13,sK13)
| sK5 = sK8(sK13,X8) )
| ~ spl14_15
| spl14_17 ),
inference(superposition,[],[f308,f210]) ).
fof(f308,plain,
( ! [X0] :
( sK8(sK13,X0) != X0
| ~ big_f(sK8(sK13,X0),sK13) )
| spl14_17 ),
inference(resolution,[],[f302,f45]) ).
fof(f338,plain,
( ~ spl14_19
| spl14_20
| ~ spl14_15
| spl14_17 ),
inference(avatar_split_clause,[],[f329,f301,f198,f335,f332]) ).
fof(f329,plain,
( ! [X6,X7] :
( sK5 != X6
| ~ big_f(sK5,sK13)
| sK5 = X7
| sK8(sK13,X6) = X7 )
| ~ spl14_15
| spl14_17 ),
inference(superposition,[],[f308,f216]) ).
fof(f216,plain,
( ! [X0,X1] :
( sK5 = X1
| sK5 = X0
| X0 = X1 )
| ~ spl14_15 ),
inference(forward_demodulation,[],[f211,f199]) ).
fof(f211,plain,
( ! [X0,X1] :
( sK5 = X0
| X0 = X1
| sK12 = X1 )
| ~ spl14_15 ),
inference(backward_demodulation,[],[f101,f199]) ).
fof(f129,plain,
( spl14_13
| ~ spl14_14
| ~ spl14_6
| ~ spl14_8
| spl14_12 ),
inference(avatar_split_clause,[],[f122,f111,f86,f79,f127,f124]) ).
fof(f122,plain,
( ! [X1] :
( ~ sP0(sK12)
| sK13 = X1 )
| ~ spl14_6
| ~ spl14_8
| spl14_12 ),
inference(subsumption_resolution,[],[f121,f53]) ).
fof(f121,plain,
( ! [X1] :
( ~ sP0(sK12)
| sK12 != X1
| sK13 = X1 )
| ~ spl14_6
| ~ spl14_8
| spl14_12 ),
inference(superposition,[],[f80,f118]) ).
fof(f118,plain,
( ! [X0] :
( sK6(X0) = sK12
| sK13 = X0 )
| ~ spl14_8
| spl14_12 ),
inference(subsumption_resolution,[],[f117,f112]) ).
fof(f117,plain,
( ! [X0] :
( sP0(sK13)
| sK13 = X0
| sK6(X0) = sK12 )
| ~ spl14_8 ),
inference(superposition,[],[f87,f53]) ).
fof(f113,plain,
( spl14_11
| ~ spl14_12
| ~ spl14_6 ),
inference(avatar_split_clause,[],[f106,f79,f111,f108]) ).
fof(f106,plain,
( ! [X0] :
( ~ sP0(sK13)
| sK13 != X0
| sK6(X0) = sK12 )
| ~ spl14_6 ),
inference(superposition,[],[f80,f53]) ).
fof(f99,plain,
( spl14_7
| spl14_2 ),
inference(avatar_split_clause,[],[f50,f62,f82]) ).
fof(f82,plain,
( spl14_7
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_7])]) ).
fof(f62,plain,
( spl14_2
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_2])]) ).
fof(f50,plain,
( sP3
| sP2 ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
( ( ~ sP3
| ~ sP2 )
& ( sP3
| sP2 ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f10,plain,
( sP2
<~> sP3 ),
inference(definition_folding,[],[f5,f9,f8,f7,f6]) ).
fof(f8,plain,
( sP2
<=> ? [X0] :
! [X1] :
( sP0(X1)
<=> X0 = X1 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f9,plain,
( sP3
<=> ? [X4] :
! [X5] :
( sP1(X5)
<=> X4 = X5 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f5,plain,
( ? [X0] :
! [X1] :
( ? [X2] :
! [X3] :
( big_f(X1,X3)
<=> X2 = X3 )
<=> X0 = X1 )
<~> ? [X4] :
! [X5] :
( ? [X6] :
! [X7] :
( big_f(X7,X5)
<=> X6 = X7 )
<=> X4 = X5 ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,plain,
~ ( ? [X0] :
! [X1] :
( ? [X2] :
! [X3] :
( big_f(X1,X3)
<=> X2 = X3 )
<=> X0 = X1 )
<=> ? [X4] :
! [X5] :
( ? [X6] :
! [X7] :
( big_f(X7,X5)
<=> X6 = X7 )
<=> X4 = X5 ) ),
inference(rectify,[],[f3]) ).
fof(f3,negated_conjecture,
~ ( ? [X2] :
! [X0] :
( ? [X3] :
! [X1] :
( big_f(X0,X1)
<=> X1 = X3 )
<=> X0 = X2 )
<=> ? [X4] :
! [X5] :
( ? [X6] :
! [X7] :
( big_f(X7,X5)
<=> X6 = X7 )
<=> X4 = X5 ) ),
inference(negated_conjecture,[],[f2]) ).
fof(f2,conjecture,
( ? [X2] :
! [X0] :
( ? [X3] :
! [X1] :
( big_f(X0,X1)
<=> X1 = X3 )
<=> X0 = X2 )
<=> ? [X4] :
! [X5] :
( ? [X6] :
! [X7] :
( big_f(X7,X5)
<=> X6 = X7 )
<=> X4 = X5 ) ),
file('/export/starexec/sandbox2/tmp/tmp.ZmVZEoQGUR/Vampire---4.8_24956',pel53) ).
fof(f98,plain,
( ~ spl14_7
| ~ spl14_2 ),
inference(avatar_split_clause,[],[f51,f62,f82]) ).
fof(f51,plain,
( ~ sP3
| ~ sP2 ),
inference(cnf_transformation,[],[f31]) ).
fof(f97,plain,
( ~ spl14_7
| spl14_10 ),
inference(avatar_split_clause,[],[f38,f95,f82]) ).
fof(f38,plain,
! [X3] :
( sK7 = X3
| ~ sP0(X3)
| ~ sP2 ),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
( ( sP2
| ! [X0] :
( ( sK6(X0) != X0
| ~ sP0(sK6(X0)) )
& ( sK6(X0) = X0
| sP0(sK6(X0)) ) ) )
& ( ! [X3] :
( ( sP0(X3)
| sK7 != X3 )
& ( sK7 = X3
| ~ sP0(X3) ) )
| ~ sP2 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f17,f19,f18]) ).
fof(f18,plain,
! [X0] :
( ? [X1] :
( ( X0 != X1
| ~ sP0(X1) )
& ( X0 = X1
| sP0(X1) ) )
=> ( ( sK6(X0) != X0
| ~ sP0(sK6(X0)) )
& ( sK6(X0) = X0
| sP0(sK6(X0)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
( ? [X2] :
! [X3] :
( ( sP0(X3)
| X2 != X3 )
& ( X2 = X3
| ~ sP0(X3) ) )
=> ! [X3] :
( ( sP0(X3)
| sK7 != X3 )
& ( sK7 = X3
| ~ sP0(X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
( ( sP2
| ! [X0] :
? [X1] :
( ( X0 != X1
| ~ sP0(X1) )
& ( X0 = X1
| sP0(X1) ) ) )
& ( ? [X2] :
! [X3] :
( ( sP0(X3)
| X2 != X3 )
& ( X2 = X3
| ~ sP0(X3) ) )
| ~ sP2 ) ),
inference(rectify,[],[f16]) ).
fof(f16,plain,
( ( sP2
| ! [X0] :
? [X1] :
( ( X0 != X1
| ~ sP0(X1) )
& ( X0 = X1
| sP0(X1) ) ) )
& ( ? [X0] :
! [X1] :
( ( sP0(X1)
| X0 != X1 )
& ( X0 = X1
| ~ sP0(X1) ) )
| ~ sP2 ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f93,plain,
( ~ spl14_7
| spl14_9 ),
inference(avatar_split_clause,[],[f55,f91,f82]) ).
fof(f55,plain,
( sP0(sK7)
| ~ sP2 ),
inference(equality_resolution,[],[f39]) ).
fof(f39,plain,
! [X3] :
( sP0(X3)
| sK7 != X3
| ~ sP2 ),
inference(cnf_transformation,[],[f20]) ).
fof(f88,plain,
( spl14_8
| spl14_7 ),
inference(avatar_split_clause,[],[f40,f82,f86]) ).
fof(f40,plain,
! [X0] :
( sP2
| sK6(X0) = X0
| sP0(sK6(X0)) ),
inference(cnf_transformation,[],[f20]) ).
fof(f84,plain,
( spl14_6
| spl14_7 ),
inference(avatar_split_clause,[],[f41,f82,f79]) ).
fof(f41,plain,
! [X0] :
( sP2
| sK6(X0) != X0
| ~ sP0(sK6(X0)) ),
inference(cnf_transformation,[],[f20]) ).
fof(f77,plain,
( ~ spl14_2
| spl14_5 ),
inference(avatar_split_clause,[],[f34,f75,f62]) ).
fof(f34,plain,
! [X3] :
( sK5 = X3
| ~ sP1(X3)
| ~ sP3 ),
inference(cnf_transformation,[],[f15]) ).
fof(f15,plain,
( ( sP3
| ! [X0] :
( ( sK4(X0) != X0
| ~ sP1(sK4(X0)) )
& ( sK4(X0) = X0
| sP1(sK4(X0)) ) ) )
& ( ! [X3] :
( ( sP1(X3)
| sK5 != X3 )
& ( sK5 = X3
| ~ sP1(X3) ) )
| ~ sP3 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f12,f14,f13]) ).
fof(f13,plain,
! [X0] :
( ? [X1] :
( ( X0 != X1
| ~ sP1(X1) )
& ( X0 = X1
| sP1(X1) ) )
=> ( ( sK4(X0) != X0
| ~ sP1(sK4(X0)) )
& ( sK4(X0) = X0
| sP1(sK4(X0)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f14,plain,
( ? [X2] :
! [X3] :
( ( sP1(X3)
| X2 != X3 )
& ( X2 = X3
| ~ sP1(X3) ) )
=> ! [X3] :
( ( sP1(X3)
| sK5 != X3 )
& ( sK5 = X3
| ~ sP1(X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f12,plain,
( ( sP3
| ! [X0] :
? [X1] :
( ( X0 != X1
| ~ sP1(X1) )
& ( X0 = X1
| sP1(X1) ) ) )
& ( ? [X2] :
! [X3] :
( ( sP1(X3)
| X2 != X3 )
& ( X2 = X3
| ~ sP1(X3) ) )
| ~ sP3 ) ),
inference(rectify,[],[f11]) ).
fof(f11,plain,
( ( sP3
| ! [X4] :
? [X5] :
( ( X4 != X5
| ~ sP1(X5) )
& ( X4 = X5
| sP1(X5) ) ) )
& ( ? [X4] :
! [X5] :
( ( sP1(X5)
| X4 != X5 )
& ( X4 = X5
| ~ sP1(X5) ) )
| ~ sP3 ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f73,plain,
( ~ spl14_2
| spl14_4 ),
inference(avatar_split_clause,[],[f54,f71,f62]) ).
fof(f54,plain,
( sP1(sK5)
| ~ sP3 ),
inference(equality_resolution,[],[f35]) ).
fof(f35,plain,
! [X3] :
( sP1(X3)
| sK5 != X3
| ~ sP3 ),
inference(cnf_transformation,[],[f15]) ).
fof(f68,plain,
( spl14_3
| spl14_2 ),
inference(avatar_split_clause,[],[f36,f62,f66]) ).
fof(f36,plain,
! [X0] :
( sP3
| sK4(X0) = X0
| sP1(sK4(X0)) ),
inference(cnf_transformation,[],[f15]) ).
fof(f64,plain,
( spl14_1
| spl14_2 ),
inference(avatar_split_clause,[],[f37,f62,f59]) ).
fof(f37,plain,
! [X0] :
( sP3
| sK4(X0) != X0
| ~ sP1(sK4(X0)) ),
inference(cnf_transformation,[],[f15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : SYN076+1 : TPTP v8.1.2. Released v2.0.0.
% 0.13/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.37 % Computer : n004.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Sat Aug 26 18:29:08 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.37 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.ZmVZEoQGUR/Vampire---4.8_24956
% 0.15/0.37 % (25120)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (25127)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_501 on Vampire---4 for (501ds/0Mi)
% 0.22/0.44 % (25125)ott+1003_4:1_av=off:cond=on:drc=off:fsd=off:fsr=off:fde=none:gsp=on:nm=2:nwc=1.5:sos=all:sp=reverse_arity:tgt=full_871 on Vampire---4 for (871ds/0Mi)
% 0.22/0.44 % (25126)lrs-11_32_av=off:bd=off:bs=on:bsr=on:drc=off:flr=on:fsd=off:fsr=off:fde=none:gsp=on:irw=on:lcm=predicate:nm=4:sp=scramble:stl=125_825 on Vampire---4 for (825ds/0Mi)
% 0.22/0.44 % (25123)ott-4_11_av=off:bd=preordered:bce=on:drc=off:flr=on:fsr=off:lma=on:nwc=2.0:sp=occurrence:tgt=ground:urr=ec_only_1010 on Vampire---4 for (1010ds/0Mi)
% 0.22/0.44 % (25121)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_1169 on Vampire---4 for (1169ds/0Mi)
% 0.22/0.44 % (25124)lrs+3_20_av=off:bd=preordered:drc=off:fsd=off:fsr=off:fde=unused:irw=on:lcm=reverse:sos=theory:stl=315_961 on Vampire---4 for (961ds/0Mi)
% 0.22/0.44 % (25122)lrs-11_28_aac=none:afr=on:anc=none:bs=on:drc=off:fde=unused:gs=on:nm=2:nwc=1.3:sp=frequency:stl=188_1092 on Vampire---4 for (1092ds/0Mi)
% 174.98/25.34 % (25122)First to succeed.
% 174.98/25.38 % (25122)Refutation found. Thanks to Tanya!
% 174.98/25.38 % SZS status Theorem for Vampire---4
% 174.98/25.38 % SZS output start Proof for Vampire---4
% See solution above
% 174.98/25.39 % (25122)------------------------------
% 174.98/25.39 % (25122)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 174.98/25.39 % (25122)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 174.98/25.39 % (25122)Termination reason: Refutation
% 174.98/25.39
% 174.98/25.39 % (25122)Memory used [KB]: 119102
% 174.98/25.39 % (25122)Time elapsed: 24.910 s
% 174.98/25.39 % (25122)------------------------------
% 174.98/25.39 % (25122)------------------------------
% 174.98/25.39 % (25120)Success in time 24.948 s
% 174.98/25.39 % Vampire---4.8 exiting
%------------------------------------------------------------------------------